LMFDB - Embedded newform 91.2.ba.a.59.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(45,91)]

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([2, 5]))

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

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

chi := DirichletCharacter("91.45");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.ba (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			59.6
Character	$\chi$	$=$	91.59
Dual form			91.2.ba.a.54.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.28453 + 1.28453i) q^{2} +(-2.65867 + 1.53499i) q^{3} +1.30006i q^{4} +(1.07541 + 0.288156i) q^{5} +(-5.38690 - 1.44342i) q^{6} +(-0.978346 + 2.45822i) q^{7} +(0.899098 - 0.899098i) q^{8} +(3.21237 - 5.56398i) q^{9} +O(q^{10})$	\(q+(1.28453 + 1.28453i) q^{2} +(-2.65867 + 1.53499i) q^{3} +1.30006i q^{4} +(1.07541 + 0.288156i) q^{5} +(-5.38690 - 1.44342i) q^{6} +(-0.978346 + 2.45822i) q^{7} +(0.899098 - 0.899098i) q^{8} +(3.21237 - 5.56398i) q^{9} +(1.01126 + 1.75155i) q^{10} +(0.124181 + 0.0332742i) 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} +4.90996 q^{16} -0.273570 q^{17} +(11.2735 - 3.02073i) q^{18} +(-1.02731 - 3.83397i) q^{19} +(-0.374620 + 1.39810i) q^{20} +(-1.17223 - 8.03735i) q^{21} +(0.116773 + 0.202257i) q^{22} -0.491955i q^{23} +(-1.01031 + 3.77051i) q^{24} +(-3.25665 - 1.88023i) q^{25} +(4.99050 + 4.24214i) q^{26} +10.5138i q^{27} +(-3.19583 - 1.27191i) q^{28} +(-4.62230 + 8.00606i) q^{29} +(-5.37722 - 3.10454i) q^{30} +(-1.85433 - 6.92046i) q^{31} +(4.50882 + 4.50882i) q^{32} +(-0.381233 + 0.102151i) q^{33} +(-0.351410 - 0.351410i) q^{34} +(-1.76048 + 2.36169i) q^{35} +(7.23351 + 4.17627i) q^{36} +(-2.82056 + 2.82056i) q^{37} +(3.60526 - 6.24449i) q^{38} +(-9.10751 + 6.29084i) q^{39} +(1.22598 - 0.707822i) q^{40} +(-2.31500 - 8.63969i) q^{41} +(8.81849 - 11.8300i) q^{42} +(8.44566 - 4.87610i) q^{43} +(-0.0432585 + 0.161443i) q^{44} +(5.05792 - 5.05792i) q^{45} +(0.631934 - 0.631934i) q^{46} +(-1.51665 + 5.66021i) q^{47} +(-13.0540 + 7.53673i) q^{48} +(-5.08568 - 4.80998i) q^{49} +(-1.76806 - 6.59849i) q^{50} +(0.727333 - 0.419926i) q^{51} +(0.378703 + 4.67211i) q^{52} +(0.467445 - 0.809639i) q^{53} +(-13.5054 + 13.5054i) q^{54} +(0.123958 + 0.0715671i) q^{55} +(1.33055 + 3.08981i) q^{56} +(8.61638 + 8.61638i) q^{57} +(-16.2216 + 4.34656i) q^{58} +(4.86699 + 4.86699i) q^{59} +(-1.15007 - 4.29214i) q^{60} +(6.74429 + 3.89382i) q^{61} +(6.50761 - 11.2715i) q^{62} +(10.5347 + 13.3402i) q^{63} +1.76356i q^{64} +(3.94872 + 0.722302i) q^{65} +(-0.620923 - 0.358490i) q^{66} +(-0.316671 + 1.18183i) q^{67} -0.355657i q^{68} +(0.755145 + 1.30795i) q^{69} +(-5.29506 + 0.772272i) q^{70} +(-0.793943 + 2.96304i) q^{71} +(-2.11433 - 7.89080i) q^{72} +(0.118802 - 0.0318328i) q^{73} -7.24621 q^{74} +11.5445 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} +(5.28024 + 1.41484i) q^{80} +(-6.50149 - 11.2609i) q^{81} +(8.12429 - 14.0717i) q^{82} +(-8.07011 + 8.07011i) q^{83} +(10.4490 - 1.52397i) q^{84} +(-0.294201 - 0.0788309i) q^{85} +(17.1123 + 4.58522i) q^{86} -28.3807i q^{87} +(0.141568 - 0.0817342i) q^{88} +(2.99430 + 2.99430i) q^{89} +12.9941 q^{90} +(-2.79988 + 9.11925i) q^{91} +0.639571 q^{92} +(15.5529 + 15.5529i) q^{93} +(-9.21893 + 5.32255i) q^{94} -4.41913i q^{95} +(-18.9085 - 5.06651i) q^{96} +(2.39359 + 0.641359i) q^{97} +(-0.354145 - 12.7113i) q^{98} +(0.584052 - 0.584052i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9	$ 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) $ 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9 - 6 * q^10 + 2 * q^11 - 8 * q^12 - 20 * q^14 + 10 * q^15 + 4 * q^16 - 12 * q^17 + 2 * q^18 + 14 * q^19 + 36 * q^20 - 6 * q^21 - 8 * q^22 - 18 * q^24 + 24 * q^26 + 2 * q^28 - 8 * q^29 - 30 * q^30 - 4 * q^31 + 10 * q^32 - 12 * q^33 - 12 * q^34 - 20 * q^35 + 54 * q^36 - 10 * q^37 - 20 * q^39 + 48 * q^40 - 18 * q^41 - 10 * q^42 + 48 * q^43 - 6 * q^44 - 6 * q^45 + 24 * q^46 - 6 * q^47 - 12 * q^48 - 50 * q^49 + 10 * q^50 - 12 * q^51 - 26 * q^52 + 12 * q^53 - 30 * q^54 + 6 * q^55 + 54 * q^56 + 12 * q^57 - 46 * q^58 + 42 * q^59 + 10 * q^60 + 30 * q^61 + 36 * q^62 + 54 * q^63 + 28 * q^65 + 66 * q^66 - 10 * q^67 - 42 * q^69 - 88 * q^70 - 42 * q^71 + 46 * q^72 + 40 * q^73 + 12 * q^74 - 40 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 + 30 * q^80 - 6 * q^81 - 54 * q^82 + 66 * q^83 + 104 * q^84 - 54 * q^85 - 18 * q^86 - 6 * q^88 + 72 * q^90 + 26 * q^91 - 156 * q^92 + 20 * q^93 - 18 * q^94 - 66 * q^96 - 62 * q^97 - 56 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	1.28453	+	1.28453i	0.908303	+	0.908303i	0.996135	−	0.0878320i	$-0.0279939\pi$
$2$	1.28453	+	1.28453i	0.908303	+	0.908303i	−0.0878320	+	0.996135i	$0.527994\pi$
$3$	−2.65867	+	1.53499i	−1.53499	+	0.886225i	−0.535865	+	0.844303i	$0.680015\pi$
$3$	−2.65867	+	1.53499i	−1.53499	+	0.886225i	−0.999121	+	0.0419214i	$0.986652\pi$
$4$			1.30006i			0.650030i
$5$	1.07541	+	0.288156i	0.480940	+	0.128867i	0.491140	−	0.871081i	$-0.336580\pi$
$5$	1.07541	+	0.288156i	0.480940	+	0.128867i	−0.0102004	+	0.999948i	$0.503247\pi$
$6$	−5.38690	−	1.44342i	−2.19919	−	0.589272i
$7$	−0.978346	+	2.45822i	−0.369780	+	0.929119i
$7$	−0.978346	+	2.45822i	−0.369780	+	0.929119i
$8$	0.899098	−	0.899098i	0.317879	−	0.317879i
$9$	3.21237	−	5.56398i	1.07079	−	1.85466i
$10$	1.01126	+	1.75155i	0.319788	+	0.553890i
$11$	0.124181	+	0.0332742i	0.0374420	+	0.0100326i	0.277491	−	0.960728i	$-0.410497\pi$
$11$	0.124181	+	0.0332742i	0.0374420	+	0.0100326i	−0.240049	+	0.970761i	$0.577164\pi$
$12$	−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
$16$	4.90996			1.22749
$17$	−0.273570			−0.0663504			−0.0331752	−	0.999450i	$-0.510562\pi$
$17$	−0.273570			−0.0663504			−0.0331752	+	0.999450i	$0.510562\pi$
$18$	11.2735	−	3.02073i	2.65720	−	0.711993i
$19$	−1.02731	−	3.83397i	−0.235681	−	0.879574i	−0.977841	−	0.209351i	$-0.932865\pi$
$19$	−1.02731	−	3.83397i	−0.235681	−	0.879574i	0.742159	−	0.670223i	$-0.233802\pi$
$20$	−0.374620	+	1.39810i	−0.0837676	+	0.312625i
$21$	−1.17223	−	8.03735i	−0.255801	−	1.75389i
$22$	0.116773	+	0.202257i	0.0248961	+	0.0431213i
$23$		−	0.491955i		−	0.102580i	−0.998684	−	0.0512899i	$-0.983667\pi$
$23$		−	0.491955i		−	0.102580i	0.998684	−	0.0512899i	$-0.0163332\pi$
$24$	−1.01031	+	3.77051i	−0.206228	+	0.769652i
$25$	−3.25665	−	1.88023i	−0.651329	−	0.376045i
$26$	4.99050	+	4.24214i	0.978717	+	0.831951i
$27$			10.5138i			2.02339i
$28$	−3.19583	−	1.27191i	−0.603955	−	0.240368i
$29$	−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	$0.838163\pi$
$30$	−5.37722	−	3.10454i	−0.981742	−	0.566809i
$31$	−1.85433	−	6.92046i	−0.333048	−	1.24295i	−0.905970	−	0.423341i	$-0.860857\pi$
$31$	−1.85433	−	6.92046i	−0.333048	−	1.24295i	0.572923	−	0.819609i	$-0.305810\pi$
$32$	4.50882	+	4.50882i	0.797055	+	0.797055i
$33$	−0.381233	+	0.102151i	−0.0663641	+	0.0177822i
$34$	−0.351410	−	0.351410i	−0.0602663	−	0.0602663i
$35$	−1.76048	+	2.36169i	−0.297575	+	0.399198i
$36$	7.23351	+	4.17627i	1.20558	+	0.696045i
$37$	−2.82056	+	2.82056i	−0.463697	+	0.463697i	−0.899865	−	0.436168i	$-0.856335\pi$
$37$	−2.82056	+	2.82056i	−0.463697	+	0.463697i	0.436168	+	0.899865i	$0.356335\pi$
$38$	3.60526	−	6.24449i	0.584850	−	1.01299i
$39$	−9.10751	+	6.29084i	−1.45837	+	1.00734i
$40$	1.22598	−	0.707822i	0.193845	−	0.111916i
$41$	−2.31500	−	8.63969i	−0.361542	−	1.34929i	−0.872049	−	0.489419i	$-0.837209\pi$
$41$	−2.31500	−	8.63969i	−0.361542	−	1.34929i	0.510507	−	0.859874i	$-0.329458\pi$
$42$	8.81849	−	11.8300i	1.36072	−	1.82541i
$43$	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	$0.0664506\pi$
$44$	−0.0432585	+	0.161443i	−0.00652146	+	0.0243384i
$45$	5.05792	−	5.05792i	0.753990	−	0.753990i
$46$	0.631934	−	0.631934i	0.0931735	−	0.0931735i
$47$	−1.51665	+	5.66021i	−0.221226	+	0.825627i	0.762655	+	0.646805i	$0.223895\pi$
$47$	−1.51665	+	5.66021i	−0.221226	+	0.825627i	−0.983881	+	0.178822i	$0.942771\pi$
$48$	−13.0540	+	7.53673i	−1.88418	+	1.08783i
$49$	−5.08568	−	4.80998i	−0.726525	−	0.687140i
$50$	−1.76806	−	6.59849i	−0.250041	−	0.933167i
$51$	0.727333	−	0.419926i	0.101847	−	0.0588014i
$52$	0.378703	+	4.67211i	0.0525166	+	0.647905i
$53$	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	$0.146214\pi$
$54$	−13.5054	+	13.5054i	−1.83785	+	1.83785i
$55$	0.123958	+	0.0715671i	0.0167145	+	0.00965011i
$56$	1.33055	+	3.08981i	0.177802	+	0.412893i
$57$	8.61638	+	8.61638i	1.14127	+	1.14127i
$58$	−16.2216	+	4.34656i	−2.13000	+	0.570731i
$59$	4.86699	+	4.86699i	0.633628	+	0.633628i	0.948976	−	0.315348i	$-0.102121\pi$
$59$	4.86699	+	4.86699i	0.633628	+	0.633628i	−0.315348	+	0.948976i	$0.602121\pi$
$60$	−1.15007	−	4.29214i	−0.148474	−	0.554112i
$61$	6.74429	+	3.89382i	0.863518	+	0.498552i	0.865189	−	0.501446i	$-0.167199\pi$
$61$	6.74429	+	3.89382i	0.863518	+	0.498552i	−0.00167083	+	0.999999i	$0.500532\pi$
$62$	6.50761	−	11.2715i	0.826468	−	1.43148i
$63$	10.5347	+	13.3402i	1.32724	+	1.68071i
$64$			1.76356i			0.220444i
$65$	3.94872	+	0.722302i	0.489779	+	0.0895905i
$66$	−0.620923	−	0.358490i	−0.0764303	−	0.0441271i
$67$	−0.316671	+	1.18183i	−0.0386875	+	0.144384i	−0.982568	−	0.185903i	$-0.940479\pi$
$67$	−0.316671	+	1.18183i	−0.0386875	+	0.144384i	0.943881	+	0.330287i	$0.107146\pi$
$68$		−	0.355657i		−	0.0431298i
$69$	0.755145	+	1.30795i	0.0909087	+	0.157459i
$70$	−5.29506	+	0.772272i	−0.632881	+	0.0923041i
$71$	−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	$0.141599\pi$
$72$	−2.11433	−	7.89080i	−0.249176	−	0.929939i
$73$	0.118802	−	0.0318328i	0.0139047	−	0.00372575i	−0.251860	−	0.967764i	$-0.581042\pi$
$73$	0.118802	−	0.0318328i	0.0139047	−	0.00372575i	0.265765	+	0.964038i	$0.414376\pi$
$74$	−7.24621			−0.842355
$75$	11.5445			1.33304
$76$	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	$-0.389550\pi$
$80$	5.28024	+	1.41484i	0.590349	+	0.158184i
$81$	−6.50149	−	11.2609i	−0.722388	−	1.25121i
$82$	8.12429	−	14.0717i	0.897178	−	1.55396i
$83$	−8.07011	+	8.07011i	−0.885810	+	0.885810i	−0.994117	−	0.108308i	$-0.965457\pi$
$83$	−8.07011	+	8.07011i	−0.885810	+	0.885810i	0.108308	+	0.994117i	$0.465457\pi$
$84$	10.4490	−	1.52397i	1.14008	−	0.166278i
$85$	−0.294201	−	0.0788309i	−0.0319106	−	0.00855041i
$86$	17.1123	+	4.58522i	1.84526	+	0.494437i
$87$		−	28.3807i		−	3.04273i
$88$	0.141568	−	0.0817342i	0.0150912	−	0.00871289i
$89$	2.99430	+	2.99430i	0.317395	+	0.317395i	0.847766	−	0.530371i	$-0.177947\pi$
$89$	2.99430	+	2.99430i	0.317395	+	0.317395i	−0.530371	+	0.847766i	$0.677947\pi$
$90$	12.9941			1.36970
$91$	−2.79988	+	9.11925i	−0.293507	+	0.955957i
$92$	0.639571			0.0666799
$93$	15.5529	+	15.5529i	1.61276	+	1.61276i
$94$	−9.21893	+	5.32255i	−0.950860	+	0.548979i
$95$		−	4.41913i		−	0.453394i
$96$	−18.9085	−	5.06651i	−1.92984	−	0.517099i
$97$	2.39359	+	0.641359i	0.243032	+	0.0651202i	0.378279	−	0.925692i	$-0.376516\pi$
$97$	2.39359	+	0.641359i	0.243032	+	0.0651202i	−0.135247	+	0.990812i	$0.543183\pi$
$98$	−0.354145	−	12.7113i	−0.0357740	−	1.28404i
$99$	0.584052	−	0.584052i	0.0586995	−	0.0586995i
$100$	2.44440	−	4.23383i	0.244440	−	0.423383i
$101$	0.844219	+	1.46223i	0.0840029	+	0.145497i	0.904966	−	0.425484i	$-0.139896\pi$
$101$	0.844219	+	1.46223i	0.0840029	+	0.145497i	−0.820963	+	0.570981i	$0.806563\pi$
$102$	1.47369	+	0.394875i	0.145917	+	0.0390985i
$103$	−4.38460	−	7.59435i	−0.432027	−	0.748293i	0.565021	−	0.825077i	$-0.308868\pi$
$103$	−4.38460	−	7.59435i	−0.432027	−	0.748293i	−0.997048	+	0.0767837i	$0.975535\pi$
$104$	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
$107$	−2.69786			−0.260812			−0.130406	−	0.991461i	$-0.541628\pi$
$107$	−2.69786			−0.260812			−0.130406	+	0.991461i	$0.541628\pi$
$108$	−13.6686			−1.31526
$109$	−8.97655	+	2.40526i	−0.859798	+	0.230382i	−0.661671	−	0.749794i	$-0.730152\pi$
$109$	−8.97655	+	2.40526i	−0.859798	+	0.230382i	−0.198127	+	0.980176i	$0.563486\pi$
$110$	0.0672978	+	0.251159i	0.00641659	+	0.0239470i
$111$	3.16943	−	11.8285i	0.300829	−	1.12271i
$112$	−4.80365	+	12.0698i	−0.453902	+	1.14049i
$113$	−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	$0.885511\pi$
$114$			22.1361i			2.07323i
$115$	0.141760	−	0.529055i	0.0132192	−	0.0493347i
$116$	−10.4084	−	6.00927i	−0.966392	−	0.557946i
$117$	9.92372	−	20.9314i	0.917448	−	1.93511i
$118$			12.5036i			1.15105i
$119$	0.267646	−	0.672494i	0.0245351	−	0.0616475i
$120$	−2.17299	+	3.76373i	−0.198366	+	0.343580i
$121$	−9.51197	−	5.49174i	−0.864724	−	0.499249i
$122$	3.66153	+	13.6650i	0.331499	+	1.23717i
$123$	19.4166	+	19.4166i	1.75074	+	1.75074i
$124$	8.99700	−	2.41074i	0.807955	−	0.216491i
$125$	−6.89673	−	6.89673i	−0.616862	−	0.616862i
$126$	−3.60379	+	30.6681i	−0.321051	+	2.73213i
$127$	−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	$0.691366\pi$
$128$	6.75230	−	6.75230i	0.596825	−	0.596825i
$129$	−14.9695	+	25.9279i	−1.31799	+	2.28283i
$130$	4.14445	+	6.00009i	0.363492	+	0.526243i
$131$	−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
$133$	10.4298	+	1.22560i	0.904379	+	0.106273i
$134$	−1.92488	+	1.11133i	−0.166284	+	0.0960043i
$135$	−3.02963	+	11.3067i	−0.260749	+	0.973128i
$136$	−0.245966	+	0.245966i	−0.0210914	+	0.0210914i
$137$	−13.8892	+	13.8892i	−1.18663	+	1.18663i	−0.208639	+	0.977993i	$0.566904\pi$
$137$	−13.8892	+	13.8892i	−1.18663	+	1.18663i	−0.977993	+	0.208639i	$0.933096\pi$
$138$	−0.710096	+	2.65012i	−0.0604474	+	0.225593i
$139$	4.80542	−	2.77441i	0.407590	−	0.235322i	−0.282164	−	0.959366i	$-0.591052\pi$
$139$	4.80542	−	2.77441i	0.407590	−	0.235322i	0.689754	+	0.724044i	$0.257719\pi$
$140$	−3.07033	−	2.28873i	−0.259490	−	0.193433i
$141$	−4.65607	−	17.3767i	−0.392112	−	1.46338i
$142$	−4.82597	+	2.78627i	−0.404986	+	0.233819i
$143$	0.455970	+	0.0834062i	0.0381302	+	0.00697478i
$144$	15.7726	−	27.3189i	1.31438	−	2.27658i
$145$	−7.27788	+	7.27788i	−0.604395	+	0.604395i
$146$	0.193495	+	0.111715i	0.0160138	+	0.00924556i
$147$	20.9044	+	4.98172i	1.72417	+	0.410885i
$148$	−3.66689	−	3.66689i	−0.301417	−	0.301417i
$149$	0.416259	−	0.111536i	0.0341012	−	0.00913740i	−0.241728	−	0.970344i	$-0.577714\pi$
$149$	0.416259	−	0.111536i	0.0341012	−	0.00913740i	0.275829	+	0.961207i	$0.411048\pi$
$150$	14.8293	+	14.8293i	1.21081	+	1.21081i
$151$	0.918204	+	3.42678i	0.0747224	+	0.278868i	0.993170	−	0.116674i	$-0.0372234\pi$
$151$	0.918204	+	3.42678i	0.0747224	+	0.278868i	−0.918448	+	0.395542i	$0.870557\pi$
$152$	−4.37077	−	2.52347i	−0.354516	−	0.204680i
$153$	−0.878806	+	1.52214i	−0.0710473	+	0.123058i
$154$	−0.611436	+	0.0891764i	−0.0492709	+	0.00718604i
$155$		−	7.97669i		−	0.640703i
$156$	−8.17847	−	11.8403i	−0.654802	−	0.947984i
$157$	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	$0.618832\pi$
$158$	5.38569	−	20.0997i	0.428462	−	1.59904i
$159$			2.87009i			0.227613i
$160$	3.54961	+	6.14810i	0.280621	+	0.486050i
$161$	1.20933	+	0.481303i	0.0953088	+	0.0379320i
$162$	6.11365	−	22.8164i	0.480333	−	1.79263i
$163$	1.74265	+	6.50367i	0.136495	+	0.509407i	0.999987	+	0.00504443i	$0.00160570\pi$
$163$	1.74265	+	6.50367i	0.136495	+	0.509407i	−0.863492	+	0.504362i	$0.831728\pi$
$164$	11.2321	−	3.00964i	0.877081	−	0.235013i
$165$	−0.439418			−0.0342087
$166$	−20.7327			−1.60917
$167$	−11.3562	+	3.04289i	−0.878770	+	0.235466i	−0.669876	−	0.742473i	$-0.733653\pi$
$167$	−11.3562	+	3.04289i	−0.878770	+	0.235466i	−0.208894	+	0.977938i	$0.566986\pi$
$168$	−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
$171$	−24.6323	−	6.60019i	−1.88368	−	0.504729i
$172$	6.33922	+	10.9799i	0.483361	+	0.837206i
$173$	−8.07033	+	13.9782i	−0.613576	+	1.06274i	0.377057	+	0.926190i	$0.376936\pi$
$173$	−8.07033	+	13.9782i	−0.613576	+	1.06274i	−0.990633	+	0.136555i	$0.956397\pi$
$174$	36.4560	−	36.4560i	2.76372	−	2.76372i
$175$	7.80813	−	6.16604i	0.590239	−	0.466109i
$176$	0.609725	+	0.163375i	0.0459597	+	0.0123149i
$177$	−20.4105	−	5.46898i	−1.53415	−	0.411074i
$178$			7.69257i			0.576583i
$179$	7.96378	−	4.59789i	0.595241	−	0.343663i	−0.171926	−	0.985110i	$-0.554999\pi$
$179$	7.96378	−	4.59789i	0.595241	−	0.343663i	0.767167	+	0.641447i	$0.221666\pi$
$180$	6.57560	+	6.57560i	0.490116	+	0.490116i
$181$	14.6492			1.08887			0.544433	−	0.838804i	$-0.316745\pi$
$181$	14.6492			1.08887			0.544433	+	0.838804i	$0.316745\pi$
$182$	−15.3105	+	8.11745i	−1.13489	+	0.601706i
$183$	−23.9078			−1.76732
$184$	−0.442316	−	0.442316i	−0.0326080	−	0.0326080i
$185$	−3.84603	+	2.22051i	−0.282766	+	0.163255i
$186$			39.9564i			2.92975i
$187$	−0.0339722	−	0.00910282i	−0.00248429	−	0.000665664i
$188$	−7.35861	−	1.97173i	−0.536682	−	0.143804i
$189$	−25.8453	−	10.2862i	−1.87997	−	0.748209i
$190$	5.67653	−	5.67653i	0.411819	−	0.411819i
$191$	−3.01632	+	5.22442i	−0.218253	+	0.378026i	−0.954274	−	0.298933i	$-0.903369\pi$
$191$	−3.01632	+	5.22442i	−0.218253	+	0.378026i	0.736021	+	0.676959i	$0.236703\pi$
$192$	−2.70703	−	4.68872i	−0.195363	−	0.338379i
$193$	−0.397063	−	0.106393i	−0.0285812	−	0.00765832i	0.244500	−	0.969649i	$-0.421376\pi$
$193$	−0.397063	−	0.106393i	−0.0285812	−	0.00765832i	−0.273081	+	0.961991i	$0.588043\pi$
$194$	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	$0.169882\pi$
$198$	1.50047			0.106634
$199$	17.4220			1.23502			0.617508	−	0.786565i	$-0.288142\pi$
$199$	17.4220			1.23502			0.617508	+	0.786565i	$0.288142\pi$
$200$	−4.61855	+	1.23754i	−0.326581	+	0.0875071i
$201$	−0.972172	−	3.62820i	−0.0685717	−	0.255913i
$202$	−0.793857	+	2.96271i	−0.0558556	+	0.208456i
$203$	−15.1584	−	19.1953i	−1.06391	−	1.34725i
$204$	0.545929	+	0.945576i	0.0382227	+	0.0662036i
$205$		−	9.95832i		−	0.695520i
$206$	4.12303	−	15.3874i	0.287265	−	1.07209i
$207$	−2.73723	−	1.58034i	−0.190251	−	0.109841i
$208$	17.6453	−	1.43025i	1.22348	−	0.0991703i
$209$		−	0.510290i		−	0.0352975i
$210$	12.8924	−	10.1811i	0.889662	−	0.702561i
$211$	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	$-0.0111131\pi$
$212$	1.05258	+	0.607707i	0.0722914	+	0.0417375i
$213$	−2.43738	−	9.09644i	−0.167007	−	0.623278i
$214$	−3.46550	−	3.46550i	−0.236897	−	0.236897i
$215$	10.4877	−	2.81016i	0.715252	−	0.191651i
$216$	9.45297	+	9.45297i	0.643193	+	0.643193i
$217$	18.8262	+	2.21225i	1.27800	+	0.150178i
$218$	−14.6203	−	8.44105i	−0.990214	−	0.571700i
$219$	−0.266992	+	0.266992i	−0.0180417	+	0.0180417i
$220$	−0.0930415	+	0.161153i	−0.00627286	+	0.0108649i
$221$	−0.983146	+	0.0796899i	−0.0661335	+	0.00536052i
$222$	19.2653	−	11.1228i	1.29300	−	0.746516i
$223$	3.59157	+	13.4039i	0.240509	+	0.897592i	0.975588	+	0.219610i	$0.0704786\pi$
$223$	3.59157	+	13.4039i	0.240509	+	0.897592i	−0.735079	+	0.677982i	$0.762855\pi$
$224$	−15.4949	+	6.67248i	−1.03529	+	0.445824i
$225$	−20.9231	+	12.0799i	−1.39487	+	0.805330i
$226$	1.63122	−	6.08779i	0.108507	−	0.404954i
$227$	−8.44643	+	8.44643i	−0.560610	+	0.560610i	−0.929481	−	0.368871i	$-0.879744\pi$
$227$	−8.44643	+	8.44643i	−0.560610	+	0.560610i	0.368871	+	0.929481i	$0.379744\pi$
$228$	−11.2018	+	11.2018i	−0.741858	+	0.741858i
$229$	−6.35901	+	23.7322i	−0.420215	+	1.56826i	0.353939	+	0.935268i	$0.384842\pi$
$229$	−6.35901	+	23.7322i	−0.420215	+	1.56826i	−0.774155	+	0.632997i	$0.781825\pi$
$230$	0.861686	−	0.497495i	0.0568179	−	0.0328038i
$231$	0.121868	−	1.03709i	0.00801833	−	0.0682356i
$232$	3.04233	+	11.3541i	0.199739	+	0.745435i
$233$	15.3919	−	8.88654i	1.00836	−	0.582177i	0.0976486	−	0.995221i	$-0.468868\pi$
$233$	15.3919	−	8.88654i	1.00836	−	0.582177i	0.910711	+	0.413044i	$0.135535\pi$
$234$	39.6345	−	14.1397i	2.59099	−	0.924343i
$235$	−3.26205	+	5.65004i	−0.212793	+	0.368568i
$236$	−6.32738	+	6.32738i	−0.411877	+	0.411877i
$237$	30.4544	+	17.5828i	1.97822	+	1.14213i
$238$	1.20764	−	0.520042i	0.0782799	−	0.0337093i
$239$	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	$0.465110\pi$
$240$	−16.2102	+	4.34351i	−1.04636	+	0.280372i
$241$	7.33684	+	7.33684i	0.472607	+	0.472607i	0.902757	−	0.430150i	$-0.141539\pi$
$241$	7.33684	+	7.33684i	0.472607	+	0.472607i	−0.430150	+	0.902757i	$0.641539\pi$
$242$	−5.16413	−	19.2728i	−0.331963	−	1.23890i
$243$	7.25497	+	4.18866i	0.465406	+	0.268702i
$244$	−5.06220	+	8.76798i	−0.324074	+	0.561312i
$245$	−4.08318	−	6.63819i	−0.260865	−	0.424098i
$246$			49.8827i			3.18040i
$247$	−4.80873	−	13.4792i	−0.305972	−	0.857658i
$248$	−7.88939	−	4.55494i	−0.500977	−	0.289239i
$249$	9.06829	−	33.8433i	0.574679	−	2.14473i
$250$		−	17.7182i		−	1.12060i
$251$	−4.56198	−	7.90158i	−0.287950	−	0.498743i	0.685371	−	0.728194i	$-0.259640\pi$
$251$	−4.56198	−	7.90158i	−0.287950	−	0.498743i	−0.973320	+	0.229451i	$0.926307\pi$
$252$	−17.3431	+	13.6957i	−1.09251	+	0.862748i
$253$	0.0163694	−	0.0610915i	0.00102914	−	0.00384079i
$254$	−0.821460	−	3.06573i	−0.0515430	−	0.192361i
$255$	0.903188	−	0.242009i	0.0565599	−	0.0151552i
$256$	20.8742			1.30464
$257$	−30.7159			−1.91601			−0.958003	−	0.286758i	$-0.907422\pi$
$257$	−30.7159			−1.91601			−0.958003	+	0.286758i	$0.907422\pi$
$258$	−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
$262$	−10.4336	−	2.79568i	−0.644591	−	0.172718i
$263$	−2.77339	−	4.80365i	−0.171015	−	0.296206i	0.767760	−	0.640737i	$-0.221371\pi$
$263$	−2.77339	−	4.80365i	−0.171015	−	0.296206i	−0.938775	+	0.344531i	$0.888038\pi$
$264$	−0.250922	+	0.434609i	−0.0154432	+	0.0267483i
$265$	0.736000	−	0.736000i	0.0452121	−	0.0452121i
$266$	11.8231	+	14.9718i	0.724923	+	0.917979i
$267$	−12.5571	−	3.36466i	−0.768481	−	0.205914i
$268$	−1.53645	−	0.411691i	−0.0938538	−	0.0251481i
$269$			5.45085i			0.332344i	0.986097	+	0.166172i	$0.0531407\pi$
$269$			5.45085i			0.332344i	−0.986097	+	0.166172i	$0.946859\pi$
$270$	−18.4155	+	10.6322i	−1.12073	+	0.647056i
$271$	−7.56230	−	7.56230i	−0.459377	−	0.459377i	0.439074	−	0.898451i	$-0.355307\pi$
$271$	−7.56230	−	7.56230i	−0.459377	−	0.459377i	−0.898451	+	0.439074i	$0.855307\pi$
$272$	−1.34322			−0.0814446
$273$	−6.55396	−	28.5429i	−0.396664	−	1.72749i
$274$	−35.6823			−2.15564
$275$	−0.341851	−	0.341851i	−0.0206144	−	0.0206144i
$276$	−1.70041	+	0.981733i	−0.102353	+	0.0590934i
$277$		−	24.5511i		−	1.47513i	−0.675275	−	0.737566i	$-0.735975\pi$
$277$		−	24.5511i		−	1.47513i	0.675275	−	0.737566i	$-0.264025\pi$
$278$	9.73655	+	2.60890i	0.583960	+	0.156472i
$279$	−44.4621	−	11.9136i	−2.66187	−	0.713247i
$280$	0.540544	+	3.70623i	0.0323037	+	0.221490i
$281$	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	$0.130831\pi$
$282$	16.3401	−	28.3019i	0.973038	−	1.68535i
$283$	1.41770	+	2.45554i	0.0842738	+	0.145967i	0.905082	−	0.425238i	$-0.139810\pi$
$283$	1.41770	+	2.45554i	0.0842738	+	0.145967i	−0.820808	+	0.571205i	$0.806476\pi$
$284$	−3.85212	−	1.03217i	−0.228581	−	0.0612482i
$285$	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
$289$	−16.9252			−0.995598
$290$	−18.6974			−1.09795
$291$	−7.34824	+	1.96896i	−0.430762	+	0.115422i
$292$	0.0413846	+	0.154449i	0.00242185	+	0.00903846i
$293$	5.11331	−	19.0831i	0.298723	−	1.11485i	−0.639493	−	0.768797i	$-0.720856\pi$
$293$	5.11331	−	19.0831i	0.298723	−	1.11485i	0.938215	−	0.346052i	$-0.112478\pi$
$294$	20.4532	+	33.2516i	1.19286	+	1.93927i
$295$	3.83157	+	6.63648i	0.223083	+	0.386391i
$296$			5.07192i			0.294799i
$297$	−0.349840	+	1.30562i	−0.0202998	+	0.0757597i
$298$	0.677971	+	0.391427i	0.0392738	+	0.0226747i
$299$	−0.143305	−	1.76797i	−0.00828753	−	0.102244i
$300$			15.0085i			0.866517i
$301$	3.72375	+	25.5318i	0.214633	+	1.47163i
$302$	−3.22236	+	5.58129i	−0.185426	+	0.321167i
$303$	−4.48901	−	2.59173i	−0.257887	−	0.148891i
$304$	−5.04406	−	18.8247i	−0.289296	−	1.07967i
$305$	6.13088	+	6.13088i	0.351053	+	0.351053i
$306$	−3.08410	+	0.826381i	−0.176306	+	0.0472411i
$307$	−6.98294	−	6.98294i	−0.398537	−	0.398537i	0.479180	−	0.877717i	$-0.340934\pi$
$307$	−6.98294	−	6.98294i	−0.398537	−	0.398537i	−0.877717	+	0.479180i	$0.840934\pi$
$308$	−0.354540	−	0.264286i	−0.0202018	−	0.0150591i
$309$	23.3144	+	13.4606i	1.32631	+	0.765746i
$310$	10.2463	−	10.2463i	0.581953	−	0.581953i
$311$	13.2286	−	22.9126i	0.750126	−	1.29926i	−0.197636	−	0.980276i	$-0.563326\pi$
$311$	13.2286	−	22.9126i	0.750126	−	1.29926i	0.947761	−	0.318980i	$-0.103340\pi$
$312$	−2.53246	+	13.8446i	−0.143373	+	0.783798i
$313$	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
$315$	7.48507	+	17.3819i	0.421736	+	0.979357i
$316$	12.8967	−	7.44590i	0.725495	−	0.418865i
$317$	0.945407	−	3.52831i	0.0530994	−	0.198170i	−0.934281	−	0.356538i	$-0.883957\pi$
$317$	0.945407	−	3.52831i	0.0530994	−	0.198170i	0.987380	+	0.158369i	$0.0506235\pi$
$318$	−3.68673	+	3.68673i	−0.206742	+	0.206742i
$319$	−0.840398	+	0.840398i	−0.0470532	+	0.0470532i
$320$	−0.508180	+	1.89655i	−0.0284081	+	0.106020i
$321$	7.17274	−	4.14118i	0.400343	−	0.231138i
$322$	0.935181	+	2.17168i	0.0521156	+	0.121023i
$323$	0.281041	+	1.04886i	0.0156375	+	0.0583601i
$324$	14.6399	−	8.45233i	0.813326	−	0.469574i
$325$	−12.2513	−	5.80844i	−0.679581	−	0.322194i
$326$	−6.11569	+	10.5927i	−0.338717	+	0.586675i
$327$	20.1737	−	20.1737i	1.11561	−	1.11561i
$328$	−9.84934	−	5.68652i	−0.543839	−	0.313985i
$329$	−12.4302	−	9.26590i	−0.685301	−	0.510846i
$330$	−0.564448	−	0.564448i	−0.0310718	−	0.0310718i
$331$	−8.31943	+	2.22918i	−0.457277	+	0.122527i	−0.480102	−	0.877212i	$-0.659401\pi$
$331$	−8.31943	+	2.22918i	−0.457277	+	0.122527i	0.0228253	+	0.999739i	$0.492734\pi$
$332$	−10.4916	−	10.4916i	−0.575803	−	0.575803i
$333$	6.63287	+	24.7542i	0.363479	+	1.35652i
$334$	−18.4961	−	10.6788i	−1.01206	−	0.584315i
$335$	−0.681105	+	1.17971i	−0.0372128	+	0.0644544i
$336$	−5.75560	−	39.4631i	−0.313993	−	2.15289i
$337$			26.3426i			1.43497i	0.696572	+	0.717487i	$0.254708\pi$
$337$			26.3426i			1.43497i	−0.696572	+	0.717487i	$0.745292\pi$
$338$	19.1704	+	13.7915i	1.04273	+	0.750160i
$339$	9.22402	+	5.32549i	0.500980	+	0.289241i
$340$	0.102485	−	0.382479i	0.00555802	−	0.0207428i
$341$		−	0.921091i		−	0.0498799i
$342$	−23.1628	−	40.1192i	−1.25250	−	2.16940i
$343$	16.7995	−	7.79588i	0.907089	−	0.420938i
$344$	3.20938	−	11.9776i	0.173038	−	0.645787i
$345$	0.435199	+	1.62419i	0.0234303	+	0.0874432i
$346$	−28.3221	+	7.58889i	−1.52261	+	0.407981i
$347$	5.22676			0.280587			0.140294	−	0.990110i	$-0.455195\pi$
$347$	5.22676			0.280587			0.140294	+	0.990110i	$0.455195\pi$
$348$	36.8966			1.97786
$349$	−11.2071	+	3.00292i	−0.599900	+	0.160743i	−0.545974	−	0.837802i	$-0.683840\pi$
$349$	−11.2071	+	3.00292i	−0.599900	+	0.160743i	−0.0539262	+	0.998545i	$0.517174\pi$
$350$	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
$353$	8.33853	+	2.23430i	0.443815	+	0.118920i	0.473804	−	0.880630i	$-0.342881\pi$
$353$	8.33853	+	2.23430i	0.443815	+	0.118920i	−0.0299889	+	0.999550i	$0.509547\pi$
$354$	−19.1929	−	33.2431i	−1.02009	−	1.76685i
$355$	−1.70763	+	2.95771i	−0.0906318	+	0.156979i
$356$	−3.89277	+	3.89277i	−0.206316	+	0.206316i
$357$	0.320686	+	2.19878i	0.0169725	+	0.116372i
$358$	16.1359	+	4.32360i	0.852809	+	0.228510i
$359$	29.9910	+	8.03606i	1.58286	+	0.424127i	0.939811	−	0.341695i	$-0.111001\pi$
$359$	29.9910	+	8.03606i	1.58286	+	0.424127i	0.643053	+	0.765822i	$0.277668\pi$
$360$		−	9.09513i		−	0.479355i
$361$	2.81049	−	1.62264i	0.147921	−	0.0854020i
$362$	18.8174	+	18.8174i	0.989021	+	0.989021i
$363$	33.7190			1.76979
$364$	−11.8556	−	3.64001i	−0.621400	−	0.190788i
$365$	0.136934			0.00716744
$366$	−30.7104	−	30.7104i	−1.60526	−	1.60526i
$367$	−2.26835	+	1.30963i	−0.118407	+	0.0683622i	−0.558034	−	0.829818i	$-0.688444\pi$
$367$	−2.26835	+	1.30963i	−0.118407	+	0.0683622i	0.439627	+	0.898180i	$0.355111\pi$
$368$		−	2.41548i		−	0.125916i
$369$	−55.5077	−	14.8732i	−2.88962	−	0.774270i
$370$	−7.79268	−	2.08804i	−0.405122	−	0.108552i
$371$	1.53295	+	1.94119i	0.0795866	+	0.100782i
$372$	−20.2197	+	20.2197i	−1.04834	+	1.04834i
$373$	−17.9182	+	31.0351i	−0.927767	+	1.60694i	−0.140717	+	0.990050i	$0.544941\pi$
$373$	−17.9182	+	31.0351i	−0.927767	+	1.60694i	−0.787050	+	0.616889i	$0.788393\pi$
$374$	−0.0319456	−	0.0553314i	−0.00165187	−	0.00286112i
$375$	28.9226	+	7.74977i	1.49355	+	0.400197i
$376$	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	$0.618343\pi$
$380$	5.74514			0.294719
$381$	5.36369			0.274790
$382$	−10.5855	+	2.83638i	−0.541602	+	0.145122i
$383$	3.37720	+	12.6039i	0.172567	+	0.644029i	0.996953	+	0.0780010i	$0.0248537\pi$
$383$	3.37720	+	12.6039i	0.172567	+	0.644029i	−0.824386	+	0.566028i	$0.808480\pi$
$384$	−7.58748	+	28.3169i	−0.387197	+	1.44504i
$385$	−0.297201	+	0.234698i	−0.0151468	+	0.0119613i
$386$	−0.373376	−	0.646707i	−0.0190044	−	0.0329165i
$387$		−	62.6553i		−	3.18495i
$388$	−0.833805	+	3.11180i	−0.0423301	+	0.157978i
$389$	21.4938	+	12.4094i	1.08978	+	0.629183i	0.933517	−	0.358533i	$-0.116723\pi$
$389$	21.4938	+	12.4094i	1.08978	+	0.629183i	0.156260	+	0.987716i	$0.450056\pi$
$390$	−20.2288	−	9.59062i	−1.02433	−	0.485640i
$391$			0.134584i			0.00680621i
$392$	−8.89716	+	0.247880i	−0.449375	+	0.0125198i
$393$	9.12714	−	15.8087i	0.460403	−	0.797442i
$394$	30.9106	+	17.8463i	1.55726	+	0.899082i
$395$	−3.30075	−	12.3186i	−0.166079	−	0.619814i
$396$	0.759303	+	0.759303i	0.0381564	+	0.0381564i
$397$	9.34451	−	2.50385i	0.468987	−	0.125665i	−0.0165827	−	0.999862i	$-0.505279\pi$
$397$	9.34451	−	2.50385i	0.468987	−	0.125665i	0.485570	+	0.874198i	$0.338612\pi$
$398$	22.3792	+	22.3792i	1.12177	+	1.12177i
$399$	−29.6108	+	12.7511i	−1.48239	+	0.638356i
$400$	−15.9900	−	9.23184i	−0.799501	−	0.461592i
$401$	−4.95225	+	4.95225i	−0.247304	+	0.247304i	−0.819863	−	0.572559i	$-0.805951\pi$
$401$	−4.95225	+	4.95225i	−0.247304	+	0.247304i	0.572559	+	0.819863i	$0.305951\pi$
$402$	3.41175	−	5.90933i	0.170163	−	0.294731i
$403$	−8.67993	−	24.3303i	−0.432378	−	1.21198i
$404$	−1.90099	+	1.09754i	−0.0945776	+	0.0546044i
$405$	−3.74689	−	13.9836i	−0.186185	−	0.694850i
$406$	5.18553	−	44.1286i	0.257353	−	2.19007i
$407$	−0.444112	+	0.256408i	−0.0220138	+	0.0127097i
$408$	0.276389	−	1.03150i	0.0136833	−	0.0510668i
$409$	10.7508	−	10.7508i	0.531591	−	0.531591i	−0.389455	−	0.921045i	$-0.627337\pi$
$409$	10.7508	−	10.7508i	0.531591	−	0.531591i	0.921045	+	0.389455i	$0.127337\pi$
$410$	12.7918	−	12.7918i	0.631743	−	0.631743i
$411$	15.6071	−	58.2465i	0.769841	−	2.87309i
$412$	9.87310	−	5.70024i	0.486413	−	0.280831i
$413$	−16.7257	+	7.20252i	−0.823019	+	0.354413i
$414$	−1.48606	−	5.54607i	−0.0730361	−	0.272574i
$415$	−11.0042	+	6.35326i	−0.540173	+	0.311869i
$416$	17.5171	+	14.8903i	0.858844	+	0.730055i
$417$	−8.51736	+	14.7525i	−0.417097	+	0.722433i
$418$	0.655485	−	0.655485i	0.0320608	−	0.0320608i
$419$	21.4435	+	12.3804i	1.04758	+	0.604823i	0.921972	−	0.387257i	$-0.126577\pi$
$419$	21.4435	+	12.3804i	1.04758	+	0.604823i	0.125612	+	0.992079i	$0.459911\pi$
$420$	11.6762	+	1.37206i	0.569739	+	0.0669497i
$421$	−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	$0.795246\pi$
$422$	27.0141	−	7.23840i	1.31502	−	0.352360i
$423$	26.6213	+	26.6213i	1.29437	+	1.29437i
$424$	−0.307666	−	1.14822i	−0.0149416	−	0.0557627i
$425$	0.890920	+	0.514373i	0.0432160	+	0.0249508i
$426$	8.55379	−	14.8156i	0.414432	−	0.717818i
$427$	−16.1701	+	12.7694i	−0.782526	+	0.617956i
$428$		−	3.50738i		−	0.169536i
$429$	−1.34030	+	0.478158i	−0.0647105	+	0.0230857i
$430$	17.0815	+	9.86201i	0.823744	+	0.475589i
$431$	−5.00354	+	18.6735i	−0.241012	+	0.899470i	0.734334	+	0.678789i	$0.237495\pi$
$431$	−5.00354	+	18.6735i	−0.241012	+	0.899470i	−0.975346	+	0.220681i	$0.929172\pi$
$432$			51.6226i			2.48369i
$433$	1.10640	+	1.91634i	0.0531702	+	0.0920934i	0.891385	−	0.453246i	$-0.149734\pi$
$433$	1.10640	+	1.91634i	0.0531702	+	0.0920934i	−0.838215	+	0.545339i	$0.816401\pi$
$434$	21.3412	+	27.0246i	1.02441	+	1.29722i
$435$	8.17807	−	30.5210i	0.392108	−	1.46337i
$436$	−3.12698	−	11.6700i	−0.149755	−	0.558894i
$437$	−1.88614	+	0.505391i	−0.0902265	+	0.0241761i
$438$	−0.685921			−0.0327746
$439$	7.34269			0.350447			0.175224	−	0.984529i	$-0.443935\pi$
$439$	7.34269			0.350447			0.175224	+	0.984529i	$0.443935\pi$
$440$	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	$-0.384248\pi$
$444$	15.3777	+	4.12044i	0.729794	+	0.195548i
$445$	2.35729	+	4.08294i	0.111746	+	0.193550i
$446$	−12.6043	+	21.8313i	−0.596831	+	1.03374i
$447$	−0.935490	+	0.935490i	−0.0442472	+	0.0442472i
$448$	−4.33520	−	1.72537i	−0.204819	−	0.0815160i
$449$	−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	$0.760282\pi$
$450$	−42.3935	−	11.3593i	−1.99845	−	0.535483i
$451$		−	1.14992i		−	0.0541474i
$452$	3.90615	−	2.25522i	0.183730	−	0.106076i
$453$	−7.70127	−	7.70127i	−0.361837	−	0.361837i
$454$	−21.6995			−1.01841
$455$	−5.63880	+	9.00016i	−0.264351	+	0.421934i
$456$	15.4939			0.725570
$457$	1.59916	+	1.59916i	0.0748054	+	0.0748054i	0.743520	−	0.668714i	$-0.233155\pi$
$457$	1.59916	+	1.59916i	0.0748054	+	0.0748054i	−0.668714	+	0.743520i	$0.733155\pi$
$458$	−38.6532	+	22.3164i	−1.80614	+	1.04278i
$459$		−	2.87627i		−	0.134253i
$460$	0.687804	+	0.184296i	0.0320690	+	0.00859287i
$461$	−3.60574	−	0.966154i	−0.167936	−	0.0449983i	0.173871	−	0.984768i	$-0.444372\pi$
$461$	−3.60574	−	0.966154i	−0.167936	−	0.0449983i	−0.341807	+	0.939770i	$0.611039\pi$
$462$	1.48872	−	1.17564i	0.0692617	−	0.0546956i
$463$	−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	$0.420620\pi$
$464$	−22.6953	+	39.3095i	−1.05360	+	1.82490i
$465$	12.2441	+	21.2074i	0.567807	+	0.983471i
$466$	31.1866	+	8.35641i	1.44469	+	0.387103i
$467$	−2.73553	−	4.73808i	−0.126585	−	0.219252i	0.795766	−	0.605604i	$-0.207068\pi$
$467$	−2.73553	−	4.73808i	−0.126585	−	0.219252i	−0.922351	+	0.386352i	$0.873735\pi$
$468$	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
$471$	−11.5179			−0.530719
$472$	8.75180			0.402834
$473$	1.21104	−	0.324497i	0.0556837	−	0.0149204i
$474$	16.5339	+	61.7054i	0.759428	+	2.83422i
$475$	−3.86315	+	14.4175i	−0.177253	+	0.661519i
$476$	0.874283	+	0.347956i	0.0400727	+	0.0159485i
$477$	−3.00321	−	5.20171i	−0.137508	−	0.238170i
$478$			43.8232i			2.00443i
$479$	0.410401	−	1.53164i	0.0187517	−	0.0699822i	−0.955916	−	0.293640i	$-0.905133\pi$
$479$	0.410401	−	1.53164i	0.0187517	−	0.0699822i	0.974668	+	0.223658i	$0.0717999\pi$
$480$	−18.8745	−	10.8972i	−0.861499	−	0.497387i
$481$	−9.31480	+	10.9580i	−0.424719	+	0.499644i
$482$			18.8489i			0.858542i
$483$	−3.95402	+	0.576684i	−0.179914	+	0.0262400i
$484$	7.13958	−	12.3661i	0.324527	−	0.562096i
$485$	2.38928	+	1.37945i	0.108492	+	0.0626378i
$486$	3.93878	+	14.6997i	0.178667	+	0.666793i
$487$	5.57627	+	5.57627i	0.252685	+	0.252685i	0.822071	−	0.569386i	$-0.192819\pi$
$487$	5.57627	+	5.57627i	0.252685	+	0.252685i	−0.569386	+	0.822071i	$0.692819\pi$
$488$	9.56470	−	2.56285i	0.432974	−	0.116015i
$489$	−14.6162	−	14.6162i	−0.660967	−	0.660967i
$490$	3.28199	−	13.7720i	0.148265	−	0.622154i
$491$	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	$0.604328\pi$
$492$	−25.2428	+	25.2428i	−1.13803	+	1.13803i
$493$	1.26452	−	2.19022i	0.0569512	−	0.0986424i
$494$	11.1375	−	23.4914i	0.501098	−	1.05693i
$495$	0.796396	−	0.459800i	0.0357953	−	0.0206665i
$496$	−9.10470	−	33.9792i	−0.408813	−	1.52571i
$497$	−6.50704	−	4.85056i	−0.291881	−	0.217577i
$498$	55.1214	−	31.8244i	2.47005	−	1.42608i
$499$	4.10435	−	15.3177i	0.183736	−	0.685712i	−0.811161	−	0.584822i	$-0.801164\pi$
$499$	4.10435	−	15.3177i	0.183736	−	0.685712i	0.994898	−	0.100890i	$-0.0321691\pi$
$500$	8.96616	−	8.96616i	0.400979	−	0.400979i
$501$	25.5217	−	25.5217i	1.14022	−	1.14022i
$502$	4.28983	−	16.0099i	0.191465	−	0.714556i
$503$	21.6152	−	12.4795i	0.963773	−	0.556435i	0.0664408	−	0.997790i	$-0.478836\pi$
$503$	21.6152	−	12.4795i	0.963773	−	0.556435i	0.897332	+	0.441356i	$0.145502\pi$
$504$	21.4659	+	2.52244i	0.956165	+	0.112358i
$505$	0.486534	+	1.81577i	0.0216505	+	0.0808007i
$506$	0.0995013	−	0.0574471i	0.00442337	−	0.00255384i
$507$	−30.8978	+	25.2608i	−1.37222	+	1.12187i
$508$	1.13570	−	1.96709i	0.0503884	−	0.0872753i
$509$	−3.66666	+	3.66666i	−0.162522	+	0.162522i	−0.783683	−	0.621161i	$-0.786661\pi$
$509$	−3.66666	+	3.66666i	−0.162522	+	0.162522i	0.621161	+	0.783683i	$0.286661\pi$
$510$	1.47105	+	0.849308i	0.0651390	+	0.0376080i
$511$	−0.0379772	+	0.323184i	−0.00168001	+	0.0142968i
$512$	13.3091	+	13.3091i	0.588184	+	0.588184i
$513$	40.3098	−	10.8010i	1.77972	−	0.476874i
$514$	−39.4557	−	39.4557i	−1.74031	−	1.74031i
$515$	−2.52690	−	9.43051i	−0.111348	−	0.415558i
$516$	−33.7079	−	19.4612i	−1.48391	−	0.856734i
$517$	−0.376678	+	0.652426i	−0.0165663	+	0.0286937i
$518$	7.08930	−	17.8128i	0.311486	−	0.782648i
$519$		−	49.5514i		−	2.17506i
$520$	4.19971	−	2.90087i	0.184169	−	0.127212i
$521$	−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	$0.772404\pi$
$522$	−27.9255	+	104.219i	−1.22226	+	4.56155i
$523$			18.3892i			0.804101i	0.915617	+	0.402051i	$0.131702\pi$
$523$			18.3892i			0.804101i	−0.915617	+	0.402051i	$0.868298\pi$
$524$	−3.86512	−	6.69459i	−0.168849	−	0.292455i
$525$	−11.2945	+	28.3789i	−0.492932	+	1.23855i
$526$	2.60794	−	9.73298i	0.113712	−	0.424378i
$527$	0.507289	+	1.89323i	0.0220979	+	0.0824703i
$528$	−1.87184	+	0.501558i	−0.0814613	+	0.0218275i
$529$	22.7580			0.989477
$530$	1.89083			0.0821326
$531$	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
$535$	−2.90132	−	0.777406i	−0.125435	−	0.0336102i
$536$	0.777865	+	1.34730i	0.0335987	+	0.0581946i
$537$	−14.1154	+	24.4486i	−0.609124	+	1.05503i
$538$	−7.00181	+	7.00181i	−0.301869	+	0.301869i
$539$	−0.471497	−	0.766530i	−0.0203088	−	0.0330168i
$540$	−14.6994	−	3.93870i	−0.632562	−	0.169494i
$541$	25.0540	+	6.71321i	1.07716	+	0.288623i	0.753431	−	0.657527i	$-0.228398\pi$
$541$	25.0540	+	6.71321i	1.07716	+	0.288623i	0.323726	+	0.946151i	$0.395064\pi$
$542$		−	19.4281i		−	0.834507i
$543$	−38.9475	+	22.4863i	−1.67140	+	0.964981i
$544$	−1.23348	−	1.23348i	−0.0528849	−	0.0528849i
$545$	−10.3466			−0.443200
$546$	28.2455	−	45.0831i	1.20880	−	1.92938i
$547$	−32.7020			−1.39824			−0.699119	−	0.715006i	$-0.746424\pi$
$547$	−32.7020			−1.39824			−0.699119	+	0.715006i	$0.746424\pi$
$548$	−18.0568	−	18.0568i	−0.771346	−	0.771346i
$549$	43.3303	−	25.0167i	1.84929	−	1.06769i
$550$		−	0.878239i		−	0.0374482i
$551$	35.4436	+	9.49708i	1.50995	+	0.404589i
$552$	1.85492	+	0.497025i	0.0789508	+	0.0211548i
$553$	29.9890	−	4.37383i	1.27526	−	0.185994i
$554$	31.5367	−	31.5367i	1.33987	−	1.33987i
$555$	6.81689	−	11.8072i	0.289361	−	0.501188i
$556$	3.60690	+	6.24733i	0.152967	+	0.264946i
$557$	−8.96735	−	2.40279i	−0.379959	−	0.101810i	0.0637843	−	0.997964i	$-0.479683\pi$
$557$	−8.96735	−	2.40279i	−0.379959	−	0.101810i	−0.443743	+	0.896154i	$0.646350\pi$
$558$	−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
$562$	22.2722			0.939497
$563$	−34.6988			−1.46238			−0.731189	−	0.682175i	$-0.761034\pi$
$563$	−34.6988			−1.46238			−0.731189	+	0.682175i	$0.761034\pi$
$564$	22.5907	−	6.05317i	0.951242	−	0.254884i
$565$	−0.999731	−	3.73105i	−0.0420590	−	0.156966i
$566$	−1.33313	+	4.97531i	−0.0560357	+	0.209128i
$567$	34.0425	−	4.96502i	1.42965	−	0.208511i
$568$	1.95023	+	3.37789i	0.0818297	+	0.141733i
$569$		−	28.8468i		−	1.20932i	−0.796484	−	0.604659i	$-0.793309\pi$
$569$		−	28.8468i		−	1.20932i	0.796484	−	0.604659i	$-0.206691\pi$
$570$	−6.37865	+	23.8055i	−0.267172	+	0.997101i
$571$	−21.3819	−	12.3448i	−0.894804	−	0.516615i	−0.0192930	−	0.999814i	$-0.506142\pi$
$571$	−21.3819	−	12.3448i	−0.894804	−	0.516615i	−0.875511	+	0.483199i	$0.839475\pi$
$572$	−0.108433	+	0.592789i	−0.00453381	+	0.0247857i
$573$		−	18.5200i		−	0.773686i
$574$	26.6429	+	33.7383i	1.11205	+	1.40821i
$575$	−0.924987	+	1.60212i	−0.0385746	+	0.0668132i
$576$	9.81239	+	5.66519i	0.408850	+	0.236049i
$577$	−0.963094	−	3.59432i	−0.0400941	−	0.149633i	0.942977	−	0.332858i	$-0.108013\pi$
$577$	−0.963094	−	3.59432i	−0.0400941	−	0.149633i	−0.983071	+	0.183225i	$0.941346\pi$
$578$	−21.7410	−	21.7410i	−0.904305	−	0.904305i
$579$	1.21897	−	0.326623i	0.0506588	−	0.0135740i
$580$	−9.46168	−	9.46168i	−0.392875	−	0.392875i
$581$	−11.9427	−	27.7335i	−0.495468	−	1.15058i
$582$	−11.9683	−	6.90988i	−0.496101	−	0.286424i
$583$	0.0849880	−	0.0849880i	0.00351984	−	0.00351984i
$584$	0.0781935	−	0.135435i	0.00323567	−	0.00560435i
$585$	16.7036	−	19.6503i	0.690610	−	0.812441i
$586$	31.0812	−	17.9447i	1.28395	−	0.741290i
$587$	4.43305	+	16.5444i	0.182972	+	0.682859i	0.995056	+	0.0993189i	$0.0316664\pi$
$587$	4.43305	+	16.5444i	0.182972	+	0.682859i	−0.812084	+	0.583540i	$0.801667\pi$
$588$	−6.47653	+	27.1770i	−0.267088	+	1.12076i
$589$	−24.6279	+	14.2189i	−1.01477	+	0.585880i
$590$	−3.60300	+	13.4466i	−0.148333	+	0.553587i
$591$	−42.6517	+	42.6517i	−1.75446	+	1.75446i
$592$	−13.8488	+	13.8488i	−0.569184	+	0.569184i
$593$	−5.30494	+	19.7983i	−0.217848	+	0.813019i	0.767297	+	0.641292i	$0.221601\pi$
$593$	−5.30494	+	19.7983i	−0.217848	+	0.813019i	−0.985145	+	0.171727i	$0.945065\pi$
$594$	−2.12649	+	1.22773i	−0.0872511	+	0.0503745i
$595$	0.481614	−	0.646086i	0.0197442	−	0.0264869i
$596$	0.145004	+	0.541161i	0.00593958	+	0.0221668i
$597$	−46.3195	+	26.7426i	−1.89573	+	1.09450i
$598$	2.08694	−	2.45510i	0.0853414	−	0.100397i
$599$	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	$-0.128232\pi$
$600$	10.3796	−	10.3796i	0.423746	−	0.423746i
$601$	−29.2750	−	16.9020i	−1.19415	−	0.689445i	−0.234908	−	0.972018i	$-0.575479\pi$
$601$	−29.2750	−	16.9020i	−1.19415	−	0.689445i	−0.959246	+	0.282573i	$0.908812\pi$
$602$	−28.0132	+	37.5798i	−1.14173	+	1.53164i
$603$	5.55843	+	5.55843i	0.226357	+	0.226357i
$604$	−4.45502	+	1.19372i	−0.181272	+	0.0485718i
$605$	−8.64682	−	8.64682i	−0.351543	−	0.351543i
$606$	−2.43712	−	9.09545i	−0.0990012	−	0.369478i
$607$	−25.0478	−	14.4613i	−1.01666	−	0.586968i	−0.103524	−	0.994627i	$-0.533012\pi$
$607$	−25.0478	−	14.4613i	−1.01666	−	0.586968i	−0.913134	+	0.407659i	$0.866345\pi$
$608$	12.6548	−	21.9187i	0.513218	−	0.888920i
$609$	69.7659	+	27.7661i	2.82706	+	1.12514i
$610$			15.7506i			0.637725i
$611$	−3.80168	+	20.7833i	−0.153800	+	0.840801i
$612$	−1.97887	−	1.14250i	−0.0799910	−	0.0461829i
$613$	−4.75410	+	17.7425i	−0.192016	+	0.716614i	0.801003	+	0.598660i	$0.204300\pi$
$613$	−4.75410	+	17.7425i	−0.192016	+	0.716614i	−0.993019	+	0.117954i	$0.962367\pi$
$614$		−	17.9397i		−	0.723986i
$615$	15.2859	+	26.4759i	0.616387	+	1.06761i
$616$	0.0624182	+	0.427969i	0.00251490	+	0.0172434i
$617$	−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	$0.161777\pi$
$618$	12.6576	+	47.2388i	0.509163	+	1.90022i
$619$	23.3947	−	6.26859i	0.940312	−	0.251956i	0.244065	−	0.969759i	$-0.421519\pi$
$619$	23.3947	−	6.26859i	0.940312	−	0.251956i	0.696246	+	0.717803i	$0.254852\pi$
$620$	10.3702			0.416476
$621$	5.17234			0.207559
$622$	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
$626$	20.7420	+	5.55781i	0.829019	+	0.222135i
$627$	0.783288	+	1.35669i	0.0312815	+	0.0541812i
$628$	−2.43879	+	4.22410i	−0.0973182	+	0.168560i
$629$	0.771620	−	0.771620i	0.0307665	−	0.0307665i
$630$	−12.7128	+	31.9425i	−0.506489	+	1.27262i
$631$	−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	$0.631841\pi$
$632$	−14.0686	−	3.76966i	−0.559618	−	0.149949i
$633$			47.2628i			1.87853i
$634$	5.74664	−	3.31783i	0.228228	−	0.131768i
$635$	−1.37545	−	1.37545i	−0.0545833	−	0.0545833i
$636$	−3.73129			−0.147955
$637$	−19.6779	−	15.8045i	−0.779665	−	0.626197i
$638$	−2.15904			−0.0854772
$639$	13.9358	+	13.9358i	0.551293	+	0.551293i
$640$	9.20724	−	5.31580i	0.363948	−	0.210125i
$641$		−	26.5132i		−	1.04721i	−0.851962	−	0.523603i	$-0.824587\pi$
$641$		−	26.5132i		−	1.04721i	0.851962	−	0.523603i	$-0.175413\pi$
$642$	14.5331	+	3.89414i	0.573577	+	0.153689i
$643$	11.1885	+	2.99795i	0.441231	+	0.118228i	0.472593	−	0.881281i	$-0.343318\pi$
$643$	11.1885	+	2.99795i	0.441231	+	0.118228i	−0.0313623	+	0.999508i	$0.509985\pi$
$644$	−0.625722	+	1.57221i	−0.0246569	+	0.0619536i
$645$	−23.5697	+	23.5697i	−0.928057	+	0.928057i
$646$	−0.986290	+	1.70830i	−0.0388050	+	0.0672123i
$647$	19.2967	+	33.4228i	0.758631	+	1.31399i	0.943549	+	0.331233i	$0.107465\pi$
$647$	19.2967	+	33.4228i	0.758631	+	1.31399i	−0.184918	+	0.982754i	$0.559202\pi$
$648$	−15.9701	−	4.27919i	−0.627367	−	0.168102i
$649$	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
$653$	26.0323			1.01872			0.509361	−	0.860553i	$-0.329882\pi$
$653$	26.0323			1.01872			0.509361	+	0.860553i	$0.329882\pi$
$654$	51.8276			2.02662
$655$	−6.39449	+	1.71340i	−0.249853	+	0.0669480i
$656$	−11.3666	−	42.4206i	−0.443790	−	1.65625i
$657$	0.204517	−	0.763269i	0.00797898	−	0.0297780i
$658$	−4.06469	−	27.8694i	−0.158458	−	1.08646i
$659$	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	$0.415418\pi$
$660$		−	0.571270i		−	0.0222366i
$661$	3.13750	−	11.7093i	0.122034	−	0.455439i	−0.877682	−	0.479243i	$-0.840911\pi$
$661$	3.13750	−	11.7093i	0.122034	−	0.455439i	0.999717	+	0.0238044i	$0.00757790\pi$
$662$	−13.5501	−	7.82313i	−0.526638	−	0.304055i
$663$	2.49154	−	1.72098i	0.0967634	−	0.0668375i
$664$			14.5116i			0.563161i
$665$	10.8632	+	4.32344i	0.421257	+	0.167656i
$666$	−23.2775	+	40.3178i	−0.901984	+	1.56228i
$667$	3.93862	+	2.27397i	0.152504	+	0.0880483i
$668$	−3.95594	−	14.7638i	−0.153060	−	0.571227i
$669$	−30.1236	−	30.1236i	−1.16465	−	1.16465i
$670$	−2.39028	+	0.640474i	−0.0923446	+	0.0247437i
$671$	0.707950	+	0.707950i	0.0273301	+	0.0273301i
$672$	30.9536	−	41.5244i	1.19406	−	1.60184i
$673$	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	$0.385940\pi$
$674$	−33.8380	+	33.8380i	−1.30339	+	1.30339i
$675$	19.7684	−	34.2398i	0.760885	−	1.31789i
$676$	2.72194	+	16.6801i	0.104690	+	0.641544i
$677$	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
$679$	−3.91836	+	5.25649i	−0.150373	+	0.201725i
$680$	−0.335392	+	0.193639i	−0.0128617	+	0.00742570i
$681$	9.49116	−	35.4215i	0.363702	−	1.35735i
$682$	1.18317	−	1.18317i	0.0453061	−	0.0453061i
$683$	−26.9693	+	26.9693i	−1.03195	+	1.03195i	−0.0324804	+	0.999472i	$0.510341\pi$
$683$	−26.9693	+	26.9693i	−1.03195	+	1.03195i	−0.999472	+	0.0324804i	$0.989659\pi$
$684$	8.58064	−	32.0234i	0.328089	−	1.22445i
$685$	−18.9389	+	10.9344i	−0.723617	+	0.417780i
$686$	31.5937	+	11.5655i	1.20625	+	0.441573i
$687$	−19.5220	−	72.8571i	−0.744810	−	2.77967i
$688$	41.4679	−	23.9415i	1.58095	−	0.912761i
$689$	1.44404	−	3.04582i	0.0550137	−	0.116036i
$690$	−1.52729	+	2.64535i	−0.0581431	+	0.100707i
$691$	4.16816	−	4.16816i	0.158564	−	0.158564i	−0.623366	−	0.781930i	$-0.714235\pi$
$691$	4.16816	−	4.16816i	0.158564	−	0.158564i	0.781930	+	0.623366i	$0.214235\pi$
$692$	−18.1725	−	10.4919i	−0.690816	−	0.398843i
$693$	0.864323	+	2.00713i	0.0328329	+	0.0762447i
$694$	6.71396	+	6.71396i	0.254858	+	0.254858i
$695$	5.96728	−	1.59893i	0.226352	−	0.0606508i
$696$	−25.5170	−	25.5170i	−0.967220	−	0.967220i
$697$	0.633314	+	2.36356i	0.0239885	+	0.0895262i
$698$	−18.2532	−	10.5385i	−0.690894	−	0.398888i
$699$	−27.2814	+	47.2528i	−1.03188	+	1.78727i
$700$	8.01621	+	10.1510i	0.302984	+	0.383673i
$701$		−	39.7256i		−	1.50041i	−0.661203	−	0.750207i	$-0.729954\pi$
$701$		−	39.7256i		−	1.50041i	0.661203	−	0.750207i	$-0.270046\pi$
$702$	−44.6011	+	52.4693i	−1.68336	+	1.98032i
$703$	13.7115	+	7.91636i	0.517140	+	0.298571i
$704$	−0.0586809	+	0.219000i	−0.00221162	+	0.00825388i
$705$		−	20.0288i		−	0.754329i
$706$	7.84109	+	13.5812i	0.295103	+	0.511134i
$707$	−4.42042	+	0.644707i	−0.166247	+	0.0242467i
$708$	7.11000	−	26.5349i	0.267210	−	0.997241i
$709$	0.109951	+	0.410342i	0.00412929	+	0.0154107i	0.967960	−	0.251105i	$-0.0807941\pi$
$709$	0.109951	+	0.410342i	0.00412929	+	0.0154107i	−0.963830	+	0.266516i	$0.914127\pi$
$710$	−5.99280	+	1.60577i	−0.224906	+	0.0602633i
$711$	−73.5935			−2.75997
$712$	5.38434			0.201787
$713$	−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
$717$	−71.5355	−	19.1679i	−2.67154	−	0.715837i
$718$	28.2019	+	48.8471i	1.05248	+	1.82296i
$719$	−2.75054	+	4.76407i	−0.102578	+	0.177670i	−0.912746	−	0.408528i	$-0.866042\pi$
$719$	−2.75054	+	4.76407i	−0.102578	+	0.177670i	0.810168	+	0.586197i	$0.199376\pi$
$720$	24.8342	−	24.8342i	0.925516	−	0.925516i
$721$	22.9582	−	3.34840i	0.855009	−	0.124701i
$722$	5.69451	+	1.52584i	0.211928	+	0.0567859i
$723$	−30.7682	−	8.24432i	−1.14428	−	0.306610i
$724$			19.0448i			0.707796i
$725$	30.1064	−	17.3819i	1.11812	−	0.645549i
$726$	43.3132	+	43.3132i	1.60750	+	1.60750i
$727$	10.8373			0.401935			0.200967	−	0.979598i	$-0.435591\pi$
$727$	10.8373			0.401935			0.200967	+	0.979598i	$0.435591\pi$
$728$	5.68173	+	10.7165i	0.210579	+	0.397178i
$729$	13.2908			0.492253
$730$	0.175896	+	0.175896i	0.00651021	+	0.00651021i
$731$	−2.31048	+	1.33395i	−0.0854561	+	0.0493381i
$732$		−	31.0816i		−	1.14881i
$733$	29.0463	+	7.78294i	1.07285	+	0.287469i	0.751664	−	0.659547i	$-0.229252\pi$
$733$	29.0463	+	7.78294i	1.07285	+	0.287469i	0.321187	+	0.947016i	$0.395918\pi$
$734$	−4.59604	−	1.23150i	−0.169643	−	0.0454557i
$735$	21.0454	+	11.3811i	0.776270	+	0.419800i
$736$	2.21814	−	2.21814i	0.0817617	−	0.0817617i
$737$	−0.0786492	+	0.136224i	−0.00289708	+	0.00501789i
$738$	−52.1964	−	90.4068i	−1.92138	−	3.32792i
$739$	−43.9327	−	11.7717i	−1.61609	−	0.433030i	−0.666241	−	0.745737i	$-0.732098\pi$
$739$	−43.9327	−	11.7717i	−1.61609	−	0.433030i	−0.949850	+	0.312707i	$0.898764\pi$
$740$	−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	$0.725044\pi$
$744$	27.9671			1.02532
$745$	0.479790			0.0175782
$746$	−62.8822	+	16.8492i	−2.30228	+	0.616894i
$747$	18.9778	+	70.8261i	0.694361	+	2.59139i
$748$	0.0118342	−	0.0441659i	0.000432702	−	0.00161486i
$749$	2.63944	−	6.63194i	0.0964432	−	0.242326i
$750$	27.1972	+	47.1069i	0.993100	+	1.72010i
$751$		−	16.7889i		−	0.612636i	−0.951929	−	0.306318i	$-0.900903\pi$
$751$		−	16.7889i		−	0.612636i	0.951929	−	0.306318i	$-0.0990971\pi$
$752$	−7.44669	+	27.7914i	−0.271553	+	1.01345i
$753$	24.2576	+	14.0052i	0.883997	+	0.510376i
$754$	−57.0304	+	20.3458i	−2.07692	+	0.740950i
$755$			3.94980i			0.143748i
$756$	13.3726	−	33.6004i	0.486358	−	1.22204i
$757$	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	$0.0756067\pi$
$758$	−36.2652	−	20.9377i	−1.31721	−	0.760493i
$759$	0.0502537	+	0.187549i	0.00182409	+	0.00680761i
$760$	−3.97324	−	3.97324i	−0.144124	−	0.144124i
$761$	−38.7077	+	10.3717i	−1.40315	+	0.375974i	−0.879477	−	0.475942i	$-0.842107\pi$
$761$	−38.7077	+	10.3717i	−1.40315	+	0.375974i	−0.523678	+	0.851916i	$0.675441\pi$
$762$	6.88985	+	6.88985i	0.249593	+	0.249593i
$763$	2.86952	−	24.4195i	0.103884	−	0.884045i
$764$	−6.79206	−	3.92140i	−0.245728	−	0.141871i
$765$	−1.38369	+	1.38369i	−0.0500276	+	0.0500276i
$766$	−11.8520	+	20.5283i	−0.428230	+	0.741716i
$767$	18.9086	+	16.0731i	0.682748	+	0.580365i
$768$	−55.4978	+	32.0417i	−2.00260	+	1.15620i
$769$	−12.5630	−	46.8857i	−0.453033	−	1.69074i	−0.693807	−	0.720161i	$-0.744068\pi$
$769$	−12.5630	−	46.8857i	−0.453033	−	1.69074i	0.240774	−	0.970581i	$-0.422599\pi$
$770$	−0.683243	−	0.0802876i	−0.0246224	−	0.00289336i
$771$	81.6636	−	47.1485i	2.94104	−	1.69801i
$772$	0.138317	−	0.516206i	0.00497813	−	0.0185786i
$773$	33.2811	−	33.2811i	1.19704	−	1.19704i	0.221987	−	0.975050i	$-0.428746\pi$
$773$	33.2811	−	33.2811i	1.19704	−	1.19704i	0.975050	−	0.221987i	$-0.0712544\pi$
$774$	80.4829	−	80.4829i	2.89290	−	2.89290i
$775$	−6.97312	+	26.0240i	−0.250482	+	0.934811i
$776$	2.72871	−	1.57542i	0.0979551	−	0.0565544i
$777$	25.9762	+	19.3635i	0.931889	+	0.694661i
$778$	11.6691	+	43.5498i	0.418359	+	1.56134i
$779$	−30.7461	+	17.7513i	−1.10159	+	0.636006i
$780$	−5.38338	−	15.0899i	−0.192756	−	0.540306i
$781$	−0.197185	+	0.341535i	−0.00705585	+	0.0122211i
$782$	−0.172878	+	0.172878i	−0.00618210	+	0.00618210i
$783$	−84.1744	−	48.5981i	−3.00815	−	1.73675i
$784$	−24.9705	−	23.6168i	−0.891803	−	0.843458i
$785$	2.95364	+	2.95364i	0.105420	+	0.105420i
$786$	32.0309	−	8.58266i	1.14250	−	0.306133i
$787$	19.6291	+	19.6291i	0.699701	+	0.699701i	0.964346	−	0.264645i	$-0.0852547\pi$
$787$	19.6291	+	19.6291i	0.699701	+	0.699701i	−0.264645	+	0.964346i	$0.585255\pi$
$788$	6.61113	+	24.6731i	0.235512	+	0.878942i
$789$	14.7471	+	8.51423i	0.525010	+	0.303115i
$790$	11.5837	−	20.0635i	0.412129	−	0.713829i
$791$	9.08309	−	1.32475i	0.322957	−	0.0471025i
$792$		−	1.05024i		−	0.0373187i
$793$	25.3717	+	12.0289i	0.900974	+	0.427158i
$794$	15.2196	+	8.78706i	0.540125	+	0.311841i
$795$	−0.827034	+	3.08653i	−0.0293319	+	0.109468i
$796$			22.6497i			0.802797i
$797$	−12.9913	−	22.5016i	−0.460177	−	0.797049i	0.538793	−	0.842438i	$-0.318881\pi$
$797$	−12.9913	−	22.5016i	−0.460177	−	0.797049i	−0.998969	+	0.0453891i	$0.985547\pi$
$798$	−54.4153	−	21.6568i	−1.92628	−	0.766641i
$799$	0.414909	−	1.54846i	0.0146784	−	0.0547807i
$800$	−6.20604	−	23.1613i	−0.219417	−	0.818874i
$801$	26.2790	−	7.04145i	0.928524	−	0.248797i
$802$	−12.7227			−0.449253
$803$	0.0158121			0.000557998
$804$	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
$808$	2.07372	+	0.555653i	0.0729534	+	0.0195478i
$809$	15.0480	+	26.0639i	0.529060	+	0.916359i	0.999426	+	0.0338872i	$0.0107887\pi$
$809$	15.0480	+	26.0639i	0.529060	+	0.916359i	−0.470366	+	0.882472i	$0.655878\pi$
$810$	13.1494	−	22.7754i	0.462023	−	0.800247i
$811$	−25.5228	+	25.5228i	−0.896227	+	0.896227i	−0.995100	−	0.0988731i	$-0.968476\pi$
$811$	−25.5228	+	25.5228i	−0.896227	+	0.896227i	0.0988731	+	0.995100i	$0.468476\pi$
$812$	24.9551	−	19.7069i	0.875751	−	0.691576i
$813$	31.7137	+	8.49766i	1.11225	+	0.298026i
$814$	−0.899842	−	0.241112i	−0.0315395	−	0.00845097i
$815$			7.49629i			0.262584i
$816$	3.57118	−	2.06182i	0.125016	−	0.0721782i
$817$	−27.3712	−	27.3712i	−0.957596	−	0.957596i
$818$	27.6194			0.965691
$819$	41.7451	+	44.8728i	1.45869	+	1.56798i
$820$	12.9464			0.452108
$821$	−34.1562	−	34.1562i	−1.19206	−	1.19206i	−0.976488	−	0.215573i	$-0.930838\pi$
$821$	−34.1562	−	34.1562i	−1.19206	−	1.19206i	−0.215573	−	0.976488i	$-0.569162\pi$
$822$	94.8675	−	54.7718i	3.30888	−	1.91038i
$823$			21.5128i			0.749890i	0.927047	+	0.374945i	$0.122338\pi$
$823$			21.5128i			0.749890i	−0.927047	+	0.374945i	$0.877662\pi$
$824$	−10.7702	−	2.88588i	−0.375199	−	0.100534i
$825$	1.43361	+	0.384134i	0.0499118	+	0.0133738i
$826$	−30.7367	−	12.2329i	−1.06947	−	0.425637i
$827$	−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	$0.407667\pi$
$828$	2.05454	−	3.55856i	0.0714001	−	0.123669i
$829$	−0.800615	−	1.38671i	−0.0278065	−	0.0481623i	0.851787	−	0.523888i	$-0.175519\pi$
$829$	−0.800615	−	1.38671i	−0.0278065	−	0.0481623i	−0.879594	+	0.475726i	$0.842186\pi$
$830$	−22.2962	−	5.97425i	−0.773913	−	0.207369i
$831$	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
$835$	−13.0895			−0.452979
$836$	0.663407			0.0229444
$837$	72.7605	−	19.4961i	2.51497	−	0.673885i
$838$	11.6419	+	43.4480i	0.402161	+	1.50089i
$839$	−0.167923	+	0.626698i	−0.00579736	+	0.0216360i	−0.968764	−	0.247985i	$-0.920232\pi$
$839$	−0.167923	+	0.626698i	−0.00579736	+	0.0216360i	0.962967	+	0.269621i	$0.0868984\pi$
$840$	−7.12614	−	9.02393i	−0.245875	−	0.311355i
$841$	−28.2313	−	48.8981i	−0.973495	−	1.68614i
$842$		−	10.5608i		−	0.363951i
$843$	−9.74167	+	36.3564i	−0.335521	+	1.25218i
$844$	17.3332	+	10.0073i	0.596634	+	0.344467i
$845$	14.4012	+	1.44553i	0.495416	+	0.0497279i
$846$			68.3919i			2.35136i
$847$	22.8059	−	18.0097i	0.783619	−	0.618820i
$848$	2.29514	−	3.97530i	0.0788154	−	0.136512i
$849$	−7.53843	−	4.35232i	−0.258718	−	0.149371i
$850$	0.483688	+	1.80515i	0.0165904	+	0.0619161i
$851$	1.38759	+	1.38759i	0.0475659	+	0.0475659i
$852$	11.8259	−	3.16874i	0.405149	−	0.108559i
$853$	−19.5375	−	19.5375i	−0.668953	−	0.668953i	0.288521	−	0.957474i	$-0.406837\pi$
$853$	−19.5375	−	19.5375i	−0.668953	−	0.668953i	−0.957474	+	0.288521i	$0.906837\pi$
$854$	−37.1739	−	4.36828i	−1.27206	−	0.149479i
$855$	−24.5880	−	14.1959i	−0.840891	−	0.485489i
$856$	−2.42564	+	2.42564i	−0.0829068	+	0.0829068i
$857$	16.1513	−	27.9748i	0.551717	−	0.955602i	−0.446434	−	0.894817i	$-0.647306\pi$
$857$	16.1513	−	27.9748i	0.551717	−	0.955602i	0.998151	−	0.0607851i	$-0.0193604\pi$
$858$	−2.33588	−	1.10746i	−0.0797456	−	0.0378079i
$859$	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
$861$	−66.7265	+	28.7341i	−2.27403	+	0.979257i
$862$	−30.4140	+	17.5595i	−1.03590	+	0.598079i
$863$	8.22555	−	30.6982i	0.280001	−	1.04498i	−0.672414	−	0.740175i	$-0.734743\pi$
$863$	8.22555	−	30.6982i	0.280001	−	1.04498i	0.952415	−	0.304803i	$-0.0985907\pi$
$864$	−47.4050	+	47.4050i	−1.61275	+	1.61275i
$865$	−12.7069	+	12.7069i	−0.432046	+	0.432046i
$866$	−1.04040	+	3.88281i	−0.0353541	+	0.131943i
$867$	44.9985	−	25.9799i	1.52823	−	0.882323i
$868$	−2.87606	+	24.4751i	−0.0976199	+	0.830740i
$869$	−0.381147	−	1.42246i	−0.0129295	−	0.0482536i
$870$	49.7103	−	28.7002i	1.68534	−	0.973029i
$871$	−0.793778	+	4.33948i	−0.0268962	+	0.147038i
$872$	−5.90823	+	10.2334i	−0.200078	+	0.346545i
$873$	11.2576	−	11.2576i	0.381012	−	0.381012i
$874$	−3.07201	−	1.77363i	−0.103912	−	0.0599938i
$875$	23.7011	−	10.2063i	0.801242	−	0.345035i
$876$	−0.347106	−	0.347106i	−0.0117276	−	0.0117276i
$877$	−15.7460	+	4.21914i	−0.531706	+	0.142470i	−0.514676	−	0.857385i	$-0.672088\pi$
$877$	−15.7460	+	4.21914i	−0.531706	+	0.142470i	−0.0170302	+	0.999855i	$0.505421\pi$
$878$	9.43194	+	9.43194i	0.318313	+	0.318313i
$879$	15.6977	+	58.5847i	0.529471	+	1.97601i
$880$	0.608629	+	0.351392i	0.0205169	+	0.0118454i
$881$	−24.6284	+	42.6577i	−0.829752	+	1.43717i	0.0684801	+	0.997652i	$0.478185\pi$
$881$	−24.6284	+	42.6577i	−0.829752	+	1.43717i	−0.898232	+	0.439521i	$0.855148\pi$
$882$	−71.8632	−	38.8629i	−2.41976	−	1.30858i
$883$			40.1403i			1.35083i	0.737439	+	0.675414i	$0.236035\pi$
$883$			40.1403i			1.35083i	−0.737439	+	0.675414i	$0.763965\pi$
$884$	−0.103602	−	1.27815i	−0.00348450	−	0.0429888i
$885$	−20.3738	−	11.7628i	−0.684858	−	0.395403i
$886$	12.4997	−	46.6493i	0.419934	−	1.56721i
$887$		−	44.3159i		−	1.48798i	−0.668189	−	0.743992i	$-0.732930\pi$
$887$		−	44.3159i		−	1.48798i	0.668189	−	0.743992i	$-0.267070\pi$
$888$	−7.78532	−	13.4846i	−0.261258	−	0.452513i
$889$	3.62774	−	2.86481i	0.121671	−	0.0960826i
$890$	−2.21666	+	8.27270i	−0.0743027	+	0.277301i
$891$	−0.432664	−	1.61473i	−0.0144948	−	0.0540953i
$892$	−17.4259	+	4.66925i	−0.583462	+	0.156338i
$893$	23.2592			0.778339
$894$	−2.40334			−0.0803797
$895$	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
$899$	63.9769	+	17.1426i	2.13375	+	0.571736i
$900$	−15.7046	−	27.2012i	−0.523488	−	0.906708i
$901$	−0.127879	+	0.221493i	−0.00426027	+	0.00737900i
$902$	1.47711	−	1.47711i	0.0491823	−	0.0491823i
$903$	−49.0912	−	62.1648i	−1.63365	−	2.06872i
$904$	−4.26109	−	1.14176i	−0.141722	−	0.0379742i
$905$	15.7540	+	4.22126i	0.523679	+	0.140319i
$906$		−	19.7851i		−	0.657316i
$907$	46.9022	−	27.0790i	1.55736	−	0.899143i	0.559854	−	0.828591i	$-0.310857\pi$
$907$	46.9022	−	27.0790i	1.55736	−	0.899143i	0.997508	−	0.0705521i	$-0.0224761\pi$
$908$	−10.9809	−	10.9809i	−0.364413	−	0.364413i
$909$	10.8478			0.359798
$910$	−18.8043	+	4.31780i	−0.623355	+	0.143134i
$911$	5.80658			0.192381			0.0961903	−	0.995363i	$-0.469334\pi$
$911$	5.80658			0.192381			0.0961903	+	0.995363i	$0.469334\pi$
$912$	42.3061	+	42.3061i	1.40090	+	1.40090i
$913$	−1.27068	+	0.733628i	−0.0420534	+	0.0242796i
$914$			4.10835i			0.135892i
$915$	−25.7108	−	6.88919i	−0.849973	−	0.227750i
$916$	−30.8532	−	8.26709i	−1.01942	−	0.273152i
$917$	−2.27043	−	15.5671i	−0.0749761	−	0.514072i
$918$	3.69467	−	3.69467i	0.121942	−	0.121942i
$919$	9.41959	−	16.3152i	0.310724	−	0.538189i	−0.667796	−	0.744345i	$-0.732762\pi$
$919$	9.41959	−	16.3152i	0.310724	−	0.538189i	0.978519	+	0.206156i	$0.0660953\pi$
$920$	−0.348217	−	0.603129i	−0.0114804	−	0.0198846i
$921$	29.2841	+	7.84664i	0.964943	+	0.258556i
$922$	−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
$926$	−39.9265			−1.31207
$927$	−56.3397			−1.85044
$928$	−56.9391	+	15.2568i	−1.86912	+	0.500828i
$929$	−7.82322	−	29.1966i	−0.256671	−	0.957911i	−0.967153	−	0.254195i	$-0.918190\pi$
$929$	−7.82322	−	29.1966i	−0.256671	−	0.957911i	0.710482	−	0.703716i	$-0.248477\pi$
$930$	−11.5137	+	42.9697i	−0.377549	+	1.40903i
$931$	−13.2168	+	24.4397i	−0.433162	+	0.800979i
$932$	11.5530	+	20.0104i	0.378432	+	0.655464i
$933$			81.2229i			2.65912i
$934$	2.57234	−	9.60011i	0.0841696	−	0.314125i
$935$	−0.0339111	−	0.0195786i	−0.00110901	−	0.000640289i
$936$	−9.89697	−	27.7418i	−0.323493	−	0.906768i
$937$			29.0475i			0.948939i	0.880272	+	0.474470i	$0.157360\pi$
$937$			29.0475i			0.948939i	−0.880272	+	0.474470i	$0.842640\pi$
$938$	−0.848693	−	5.81904i	−0.0277108	−	0.189999i
$939$	−18.1448	+	31.4277i	−0.592132	+	1.02560i
$940$	−7.34539	−	4.24086i	−0.239580	−	0.138322i
$941$	13.7211	+	51.2078i	0.447295	+	1.66933i	0.709805	+	0.704398i	$0.248783\pi$
$941$	13.7211	+	51.2078i	0.447295	+	1.66933i	−0.262510	+	0.964929i	$0.584550\pi$
$942$	−14.7952	−	14.7952i	−0.482054	−	0.482054i
$943$	−4.25034	+	1.13888i	−0.138410	+	0.0370869i
$944$	23.8967	+	23.8967i	0.777773	+	0.777773i
$945$	−24.8304	−	18.5094i	−0.807732	−	0.602110i
$946$	1.97245	+	1.13879i	0.0641299	+	0.0370254i
$947$	27.5374	−	27.5374i	0.894846	−	0.894846i	−0.100128	−	0.994975i	$-0.531925\pi$
$947$	27.5374	−	27.5374i	0.894846	−	0.894846i	0.994975	+	0.100128i	$0.0319253\pi$
$948$	−22.8587	+	39.5925i	−0.742417	+	1.28590i
$949$	0.417673	−	0.149006i	0.0135582	−	0.00483695i
$950$	−23.4821	+	13.5574i	−0.761860	+	0.439860i
$951$	2.90237	+	10.8318i	0.0941160	+	0.351246i
$952$	−0.363998	−	0.845278i	−0.0117973	−	0.0273956i
$953$	−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	$0.345309\pi$
$954$	2.82405	−	10.5395i	0.0914321	−	0.341229i
$955$	−4.74924	+	4.74924i	−0.153682	+	0.153682i
$956$	−22.1764	+	22.1764i	−0.717236	+	0.717236i
$957$	0.944345	−	3.52434i	0.0305263	−	0.113926i
$958$	2.49461	−	1.44027i	0.0805973	−	0.0465329i
$959$	−20.5542	−	47.7310i	−0.663730	−	1.54132i
$960$	−1.56010	−	5.82236i	−0.0503519	−	0.187916i
$961$	−17.6074	+	10.1656i	−0.567980	+	0.327923i
$962$	−26.0412	+	2.11079i	−0.839601	+	0.0680547i
$963$	−8.66653	+	15.0109i	−0.279275	+	0.483718i
$964$	−9.53833	+	9.53833i	−0.307209	+	0.307209i
$965$	−0.396349	−	0.228832i	−0.0127589	−	0.00736638i
$966$	−5.81984	−	4.33830i	−0.187250	−	0.139583i
$967$	−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	$0.908270\pi$
$968$	−13.4898	+	3.61458i	−0.433579	+	0.116177i
$969$	−2.35718	−	2.35718i	−0.0757236	−	0.0757236i
$970$	1.29716	+	4.84107i	0.0416494	+	0.155438i
$971$	36.1562	+	20.8748i	1.16031	+	0.669904i	0.951378	−	0.308027i	$-0.0996687\pi$
$971$	36.1562	+	20.8748i	1.16031	+	0.669904i	0.208930	+	0.977931i	$0.433002\pi$
$972$	−5.44550	+	9.43189i	−0.174665	+	0.302528i
$973$	2.11874	+	14.5271i	0.0679237	+	0.465718i
$974$			14.3258i			0.459029i
$975$	41.4882	−	3.36286i	1.32868	−	0.107698i
$976$	33.1142	+	19.1185i	1.05996	+	0.611969i
$977$	1.25510	−	4.68409i	0.0401542	−	0.149857i	−0.942938	−	0.332968i	$-0.891950\pi$
$977$	1.25510	−	4.68409i	0.0401542	−	0.149857i	0.983092	+	0.183110i	$0.0586166\pi$
$978$		−	37.5500i		−	1.20072i
$979$	0.272203	+	0.471469i	0.00869963	+	0.0150682i
$980$	8.63004	−	5.30838i	0.275676	−	0.169570i
$981$	−15.4531	+	57.6719i	−0.493381	+	1.84132i
$982$	4.05467	+	15.1322i	0.129390	+	0.482889i
$983$	−4.11013	+	1.10131i	−0.131093	+	0.0351262i	−0.323769	−	0.946136i	$-0.604950\pi$
$983$	−4.11013	+	1.10131i	−0.131093	+	0.0351262i	0.192676	+	0.981262i	$0.438283\pi$
$984$	34.9149			1.11305
$985$	21.8750			0.696996
$986$	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
$990$	1.61363	+	0.432370i	0.0512844	+	0.0137416i
$991$	23.4457	+	40.6091i	0.744776	+	1.28999i	0.950299	+	0.311337i	$0.100777\pi$
$991$	23.4457	+	40.6091i	0.744776	+	1.28999i	−0.205524	+	0.978652i	$0.565890\pi$
$992$	22.8423	−	39.5640i	0.725243	−	1.25616i
$993$	18.6969	−	18.6969i	0.593328	−	0.593328i
$994$	−2.12780	−	14.5892i	−0.0674898	−	0.462742i
$995$	18.7359	+	5.02027i	0.593968	+	0.159153i
$996$	43.9983	+	11.7893i	1.39414	+	0.373559i
$997$			9.66903i			0.306221i	0.988209	+	0.153111i	$0.0489291\pi$
$997$			9.66903i			0.306221i	−0.988209	+	0.153111i	$0.951071\pi$
$998$	24.9482	−	14.4039i	0.789723	−	0.455947i
$999$	−29.6549	−	29.6549i	−0.938239	−	0.938239i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.33.6	✓	28	7.5	odd	6
91.2.w.a.80.6	yes	28	13.2	odd	12
91.2.ba.a.54.6	yes	28	91.54	even	12	inner
91.2.ba.a.59.6	yes	28	1.1	even	1	trivial
637.2.x.a.80.6		28	91.41	even	12
637.2.x.a.215.6		28	7.2	even	3
637.2.bb.a.423.6		28	7.6	odd	2
637.2.bb.a.509.6		28	91.2	odd	12
637.2.bd.a.293.2		28	7.3	odd	6
637.2.bd.a.587.2		28	91.67	odd	12
637.2.bd.b.293.2		28	7.4	even	3
637.2.bd.b.587.2		28	91.80	even	12
819.2.et.b.145.2		28	273.236	odd	12
819.2.et.b.514.2		28	3.2	odd	2
819.2.gh.b.262.2		28	39.2	even	12
819.2.gh.b.397.2		28	21.5	even	6

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.ba (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.28453 + 1.28453i) q^{2} +(-2.65867 + 1.53499i) q^{3} +1.30006i q^{4} +(1.07541 + 0.288156i) q^{5} +(-5.38690 - 1.44342i) q^{6} +(-0.978346 + 2.45822i) q^{7} +(0.899098 - 0.899098i) q^{8} +(3.21237 - 5.56398i) q^{9} +O(q^{10})\)	\(q+(1.28453 + 1.28453i) q^{2} +(-2.65867 + 1.53499i) q^{3} +1.30006i q^{4} +(1.07541 + 0.288156i) q^{5} +(-5.38690 - 1.44342i) q^{6} +(-0.978346 + 2.45822i) q^{7} +(0.899098 - 0.899098i) q^{8} +(3.21237 - 5.56398i) q^{9} +(1.01126 + 1.75155i) q^{10} +(0.124181 + 0.0332742i) 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} +4.90996 q^{16} -0.273570 q^{17} +(11.2735 - 3.02073i) q^{18} +(-1.02731 - 3.83397i) q^{19} +(-0.374620 + 1.39810i) q^{20} +(-1.17223 - 8.03735i) q^{21} +(0.116773 + 0.202257i) q^{22} -0.491955i q^{23} +(-1.01031 + 3.77051i) q^{24} +(-3.25665 - 1.88023i) q^{25} +(4.99050 + 4.24214i) q^{26} +10.5138i q^{27} +(-3.19583 - 1.27191i) q^{28} +(-4.62230 + 8.00606i) q^{29} +(-5.37722 - 3.10454i) q^{30} +(-1.85433 - 6.92046i) q^{31} +(4.50882 + 4.50882i) q^{32} +(-0.381233 + 0.102151i) q^{33} +(-0.351410 - 0.351410i) q^{34} +(-1.76048 + 2.36169i) q^{35} +(7.23351 + 4.17627i) q^{36} +(-2.82056 + 2.82056i) q^{37} +(3.60526 - 6.24449i) q^{38} +(-9.10751 + 6.29084i) q^{39} +(1.22598 - 0.707822i) q^{40} +(-2.31500 - 8.63969i) q^{41} +(8.81849 - 11.8300i) q^{42} +(8.44566 - 4.87610i) q^{43} +(-0.0432585 + 0.161443i) q^{44} +(5.05792 - 5.05792i) q^{45} +(0.631934 - 0.631934i) q^{46} +(-1.51665 + 5.66021i) q^{47} +(-13.0540 + 7.53673i) q^{48} +(-5.08568 - 4.80998i) q^{49} +(-1.76806 - 6.59849i) q^{50} +(0.727333 - 0.419926i) q^{51} +(0.378703 + 4.67211i) q^{52} +(0.467445 - 0.809639i) q^{53} +(-13.5054 + 13.5054i) q^{54} +(0.123958 + 0.0715671i) q^{55} +(1.33055 + 3.08981i) q^{56} +(8.61638 + 8.61638i) q^{57} +(-16.2216 + 4.34656i) q^{58} +(4.86699 + 4.86699i) q^{59} +(-1.15007 - 4.29214i) q^{60} +(6.74429 + 3.89382i) q^{61} +(6.50761 - 11.2715i) q^{62} +(10.5347 + 13.3402i) q^{63} +1.76356i q^{64} +(3.94872 + 0.722302i) q^{65} +(-0.620923 - 0.358490i) q^{66} +(-0.316671 + 1.18183i) q^{67} -0.355657i q^{68} +(0.755145 + 1.30795i) q^{69} +(-5.29506 + 0.772272i) q^{70} +(-0.793943 + 2.96304i) q^{71} +(-2.11433 - 7.89080i) q^{72} +(0.118802 - 0.0318328i) q^{73} -7.24621 q^{74} +11.5445 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} +(5.28024 + 1.41484i) q^{80} +(-6.50149 - 11.2609i) q^{81} +(8.12429 - 14.0717i) q^{82} +(-8.07011 + 8.07011i) q^{83} +(10.4490 - 1.52397i) q^{84} +(-0.294201 - 0.0788309i) q^{85} +(17.1123 + 4.58522i) q^{86} -28.3807i q^{87} +(0.141568 - 0.0817342i) q^{88} +(2.99430 + 2.99430i) q^{89} +12.9941 q^{90} +(-2.79988 + 9.11925i) q^{91} +0.639571 q^{92} +(15.5529 + 15.5529i) q^{93} +(-9.21893 + 5.32255i) q^{94} -4.41913i q^{95} +(-18.9085 - 5.06651i) q^{96} +(2.39359 + 0.641359i) q^{97} +(-0.354145 - 12.7113i) q^{98} +(0.584052 - 0.584052i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9	\( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9 - 6 * q^10 + 2 * q^11 - 8 * q^12 - 20 * q^14 + 10 * q^15 + 4 * q^16 - 12 * q^17 + 2 * q^18 + 14 * q^19 + 36 * q^20 - 6 * q^21 - 8 * q^22 - 18 * q^24 + 24 * q^26 + 2 * q^28 - 8 * q^29 - 30 * q^30 - 4 * q^31 + 10 * q^32 - 12 * q^33 - 12 * q^34 - 20 * q^35 + 54 * q^36 - 10 * q^37 - 20 * q^39 + 48 * q^40 - 18 * q^41 - 10 * q^42 + 48 * q^43 - 6 * q^44 - 6 * q^45 + 24 * q^46 - 6 * q^47 - 12 * q^48 - 50 * q^49 + 10 * q^50 - 12 * q^51 - 26 * q^52 + 12 * q^53 - 30 * q^54 + 6 * q^55 + 54 * q^56 + 12 * q^57 - 46 * q^58 + 42 * q^59 + 10 * q^60 + 30 * q^61 + 36 * q^62 + 54 * q^63 + 28 * q^65 + 66 * q^66 - 10 * q^67 - 42 * q^69 - 88 * q^70 - 42 * q^71 + 46 * q^72 + 40 * q^73 + 12 * q^74 - 40 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 + 30 * q^80 - 6 * q^81 - 54 * q^82 + 66 * q^83 + 104 * q^84 - 54 * q^85 - 18 * q^86 - 6 * q^88 + 72 * q^90 + 26 * q^91 - 156 * q^92 + 20 * q^93 - 18 * q^94 - 66 * q^96 - 62 * q^97 - 56 * q^98 - 36 * q^99

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