LMFDB - Embedded newform 95.2.r.a.67.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [95,2,Mod(2,95)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(95, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([9, 2])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("95.2"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.r (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			67.1
Character	$\chi$	$=$	95.67
Dual form			95.2.r.a.78.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.92007 - 1.34445i) q^{2} +(-1.89507 - 0.165797i) q^{3} +(1.19510 + 3.28350i) q^{4} +(-0.901842 + 2.04614i) q^{5} +(3.41577 + 2.86617i) q^{6} +(2.68449 - 0.719307i) q^{7} +(0.906496 - 3.38309i) q^{8} +(0.609382 + 0.107451i) q^{9} +(4.48253 - 2.71625i) q^{10} +(1.57593 + 2.72958i) q^{11} +(-1.72040 - 6.42061i) q^{12} +(0.334479 + 3.82311i) q^{13} +(-6.12149 - 2.22804i) q^{14} +(2.04830 - 3.72805i) q^{15} +(-0.935465 + 0.784949i) q^{16} +(-2.97116 + 4.24326i) q^{17} +(-1.02560 - 1.02560i) q^{18} +(-1.72391 + 4.00352i) q^{19} +(-7.79628 - 0.515864i) q^{20} +(-5.20656 + 0.918057i) q^{21} +(0.643895 - 7.35975i) q^{22} +(-0.177309 + 0.380240i) q^{23} +(-2.27878 + 6.26090i) q^{24} +(-3.37336 - 3.69058i) q^{25} +(4.49776 - 7.79034i) q^{26} +(4.37546 + 1.17240i) q^{27} +(5.57007 + 7.95488i) q^{28} +(1.19676 - 6.78718i) q^{29} +(-8.94506 + 4.40430i) q^{30} +(0.180067 + 0.103962i) q^{31} +(-4.12672 + 0.361041i) q^{32} +(-2.53393 - 5.43404i) q^{33} +(11.4097 - 4.15279i) q^{34} +(-0.949183 + 6.14154i) q^{35} +(0.375456 + 2.12932i) q^{36} +(-7.00958 + 7.00958i) q^{37} +(8.69256 - 5.36933i) q^{38} -7.30052i q^{39} +(6.10475 + 4.90583i) q^{40} +(1.39301 + 1.66012i) q^{41} +(11.2313 + 5.23722i) q^{42} +(7.09822 - 3.30995i) q^{43} +(-7.07920 + 8.43666i) q^{44} +(-0.769425 + 1.14998i) q^{45} +(0.851660 - 0.491706i) q^{46} +(7.02423 - 4.91842i) q^{47} +(1.90292 - 1.33244i) q^{48} +(0.626908 - 0.361945i) q^{49} +(1.51530 + 11.6215i) q^{50} +(6.33409 - 7.54867i) q^{51} +(-12.1534 + 5.66724i) q^{52} +(3.40813 + 1.58924i) q^{53} +(-6.82497 - 8.13369i) q^{54} +(-7.00634 + 0.762910i) q^{55} -9.73392i q^{56} +(3.93070 - 7.30113i) q^{57} +(-11.4229 + 11.4229i) q^{58} +(0.351612 + 1.99409i) q^{59} +(14.6890 + 2.27020i) q^{60} +(-9.55401 + 3.47738i) q^{61} +(-0.205971 - 0.441706i) q^{62} +(1.71317 - 0.149883i) q^{63} +(10.5241 + 6.07611i) q^{64} +(-8.12426 - 2.76345i) q^{65} +(-2.44045 + 13.8405i) q^{66} +(0.938425 + 1.34021i) q^{67} +(-17.4836 - 4.68471i) q^{68} +(0.399056 - 0.691185i) q^{69} +(10.0795 - 10.5161i) q^{70} +(1.12813 - 3.09950i) q^{71} +(0.915917 - 1.96419i) q^{72} +(1.08843 - 12.4408i) q^{73} +(22.8829 - 4.03488i) q^{74} +(5.78087 + 7.55322i) q^{75} +(-15.2058 - 0.875867i) q^{76} +(6.19397 + 6.19397i) q^{77} +(-9.81518 + 14.0175i) q^{78} +(-3.75275 + 3.14893i) q^{79} +(-0.762472 - 2.62199i) q^{80} +(-9.84183 - 3.58213i) q^{81} +(-0.442726 - 5.06038i) q^{82} +(-0.315418 - 1.17716i) q^{83} +(-9.23677 - 15.9986i) q^{84} +(-6.00278 - 9.90616i) q^{85} +(-18.0792 - 3.18784i) q^{86} +(-3.39324 + 12.6638i) q^{87} +(10.6630 - 2.85714i) q^{88} +(2.74193 + 2.30075i) q^{89} +(3.02344 - 1.17359i) q^{90} +(3.64790 + 10.0225i) q^{91} +(-1.46042 - 0.127770i) q^{92} +(-0.324004 - 0.226870i) q^{93} -20.0996 q^{94} +(-6.63705 - 7.13789i) q^{95} +7.88029 q^{96} +(6.10904 + 4.27760i) q^{97} +(-1.69033 - 0.147884i) q^{98} +(0.667046 + 1.83269i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26}+ \cdots - 90 q^{98}+O(q^{100}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−1.92007	−	1.34445i	−1.35770	−	0.950670i	−0.999857	−	0.0168863i	$-0.994625\pi$
$2$	−1.92007	−	1.34445i	−1.35770	−	0.950670i	−0.357839	−	0.933783i	$-0.616486\pi$
$3$	−1.89507	−	0.165797i	−1.09412	−	0.0957231i	−0.474222	−	0.880405i	$-0.657270\pi$
$3$	−1.89507	−	0.165797i	−1.09412	−	0.0957231i	−0.619898	+	0.784682i	$0.712826\pi$
$4$	1.19510	+	3.28350i	0.597548	+	1.64175i
$5$	−0.901842	+	2.04614i	−0.403316	+	0.915061i
$5$	−0.901842	+	2.04614i	−0.403316	+	0.915061i
$6$	3.41577	+	2.86617i	1.39448	+	1.17011i
$7$	2.68449	−	0.719307i	1.01464	−	0.271872i	0.287074	−	0.957908i	$-0.407317\pi$
$7$	2.68449	−	0.719307i	1.01464	−	0.271872i	0.727568	+	0.686036i	$0.240651\pi$
$8$	0.906496	−	3.38309i	0.320495	−	1.19610i
$9$	0.609382	+	0.107451i	0.203127	+	0.0358168i
$10$	4.48253	−	2.71625i	1.41750	−	0.858955i
$11$	1.57593	+	2.72958i	0.475159	+	0.823000i	0.999595	−	0.0284497i	$-0.00905704\pi$
$11$	1.57593	+	2.72958i	0.475159	+	0.823000i	−0.524436	+	0.851450i	$0.675724\pi$
$12$	−1.72040	−	6.42061i	−0.496636	−	1.85347i
$13$	0.334479	+	3.82311i	0.0927677	+	1.06034i	0.889784	+	0.456382i	$0.150855\pi$
$13$	0.334479	+	3.82311i	0.0927677	+	1.06034i	−0.797016	+	0.603958i	$0.793589\pi$
$14$	−6.12149	−	2.22804i	−1.63604	−	0.595469i
$15$	2.04830	−	3.72805i	0.528868	−	0.962580i
$16$	−0.935465	+	0.784949i	−0.233866	+	0.196237i
$17$	−2.97116	+	4.24326i	−0.720613	+	1.02914i	0.277053	+	0.960855i	$0.410642\pi$
$17$	−2.97116	+	4.24326i	−0.720613	+	1.02914i	−0.997666	+	0.0682872i	$0.978247\pi$
$18$	−1.02560	−	1.02560i	−0.241735	−	0.241735i
$19$	−1.72391	+	4.00352i	−0.395492	+	0.918470i
$19$	−1.72391	+	4.00352i	−0.395492	+	0.918470i
$20$	−7.79628	−	0.515864i	−1.74330	−	0.115351i
$21$	−5.20656	+	0.918057i	−1.13616	+	0.200336i
$22$	0.643895	−	7.35975i	0.137279	−	1.56910i
$23$	−0.177309	+	0.380240i	−0.0369715	+	0.0792855i	−0.923926	−	0.382571i	$-0.875039\pi$
$23$	−0.177309	+	0.380240i	−0.0369715	+	0.0792855i	0.886955	+	0.461857i	$0.152817\pi$
$24$	−2.27878	+	6.26090i	−0.465154	+	1.27800i
$25$	−3.37336	−	3.69058i	−0.674673	−	0.738117i
$26$	4.49776	−	7.79034i	0.882083	−	1.52781i
$27$	4.37546	+	1.17240i	0.842058	+	0.225629i
$28$	5.57007	+	7.95488i	1.05264	+	1.50333i
$29$	1.19676	−	6.78718i	0.222233	−	1.26035i	−0.645671	−	0.763616i	$-0.723422\pi$
$29$	1.19676	−	6.78718i	0.222233	−	1.26035i	0.867904	−	0.496731i	$-0.165467\pi$
$30$	−8.94506	+	4.40430i	−1.63314	+	0.804112i
$31$	0.180067	+	0.103962i	0.0323411	+	0.0186721i	0.516083	−	0.856538i	$-0.327389\pi$
$31$	0.180067	+	0.103962i	0.0323411	+	0.0186721i	−0.483742	+	0.875210i	$0.660723\pi$
$32$	−4.12672	+	0.361041i	−0.729508	+	0.0638237i
$33$	−2.53393	−	5.43404i	−0.441101	−	0.945945i
$34$	11.4097	−	4.15279i	1.95675	−	0.712198i
$35$	−0.949183	+	6.14154i	−0.160441	+	1.03811i
$36$	0.375456	+	2.12932i	0.0625761	+	0.354887i
$37$	−7.00958	+	7.00958i	−1.15237	+	1.15237i	−0.166291	+	0.986077i	$0.553179\pi$
$37$	−7.00958	+	7.00958i	−1.15237	+	1.15237i	−0.986077	+	0.166291i	$0.946821\pi$
$38$	8.69256	−	5.36933i	1.41012	−	0.871021i
$39$		−	7.30052i		−	1.16902i
$40$	6.10475	+	4.90583i	0.965246	+	0.775679i
$41$	1.39301	+	1.66012i	0.217551	+	0.259267i	0.863772	−	0.503883i	$-0.168096\pi$
$41$	1.39301	+	1.66012i	0.217551	+	0.259267i	−0.646221	+	0.763151i	$0.723651\pi$
$42$	11.2313	+	5.23722i	1.73302	+	0.808121i
$43$	7.09822	−	3.30995i	1.08247	−	0.504763i	0.202251	−	0.979334i	$-0.435174\pi$
$43$	7.09822	−	3.30995i	1.08247	−	0.504763i	0.880217	+	0.474571i	$0.157397\pi$
$44$	−7.07920	+	8.43666i	−1.06723	+	1.27187i
$45$	−0.769425	+	1.14998i	−0.114699	+	0.171428i
$46$	0.851660	−	0.491706i	0.125570	−	0.0724981i
$47$	7.02423	−	4.91842i	1.02459	−	0.717425i	0.0647288	−	0.997903i	$-0.479382\pi$
$47$	7.02423	−	4.91842i	1.02459	−	0.717425i	0.959861	+	0.280478i	$0.0904929\pi$
$48$	1.90292	−	1.33244i	0.274662	−	0.192321i
$49$	0.626908	−	0.361945i	0.0895582	−	0.0517065i
$50$	1.51530	+	11.6215i	0.214296	+	1.64353i
$51$	6.33409	−	7.54867i	0.886949	−	1.05703i
$52$	−12.1534	+	5.66724i	−1.68538	+	0.785905i
$53$	3.40813	+	1.58924i	0.468142	+	0.218298i	0.642351	−	0.766410i	$-0.277959\pi$
$53$	3.40813	+	1.58924i	0.468142	+	0.218298i	−0.174209	+	0.984709i	$0.555737\pi$
$54$	−6.82497	−	8.13369i	−0.928761	−	1.10685i
$55$	−7.00634	+	0.762910i	−0.944735	+	0.102871i
$56$		−	9.73392i		−	1.30075i
$57$	3.93070	−	7.30113i	0.520634	−	0.967058i
$58$	−11.4229	+	11.4229i	−1.49990	+	1.49990i
$59$	0.351612	+	1.99409i	0.0457760	+	0.259609i	0.999104	−	0.0423288i	$-0.0134777\pi$
$59$	0.351612	+	1.99409i	0.0457760	+	0.259609i	−0.953328	+	0.301938i	$0.902367\pi$
$60$	14.6890	+	2.27020i	1.89634	+	0.293082i
$61$	−9.55401	+	3.47738i	−1.22327	+	0.445232i	−0.871286	−	0.490775i	$-0.836714\pi$
$61$	−9.55401	+	3.47738i	−1.22327	+	0.445232i	−0.351980	+	0.936008i	$0.614491\pi$
$62$	−0.205971	−	0.441706i	−0.0261583	−	0.0560967i
$63$	1.71317	−	0.149883i	0.215839	−	0.0188835i
$64$	10.5241	+	6.07611i	1.31552	+	0.759513i
$65$	−8.12426	−	2.76345i	−1.00769	−	0.342764i
$66$	−2.44045	+	13.8405i	−0.300399	+	1.70365i
$67$	0.938425	+	1.34021i	0.114647	+	0.163733i	0.872374	−	0.488838i	$-0.162579\pi$
$67$	0.938425	+	1.34021i	0.114647	+	0.163733i	−0.757727	+	0.652571i	$0.773690\pi$
$68$	−17.4836	−	4.68471i	−2.12019	−	0.568104i
$69$	0.399056	−	0.691185i	0.0480407	−	0.0832088i
$70$	10.0795	−	10.5161i	1.20473	−	1.25691i
$71$	1.12813	−	3.09950i	0.133884	−	0.367843i	−0.854576	−	0.519327i	$-0.826183\pi$
$71$	1.12813	−	3.09950i	0.133884	−	0.367843i	0.988460	+	0.151483i	$0.0484050\pi$
$72$	0.915917	−	1.96419i	0.107942	−	0.231482i
$73$	1.08843	−	12.4408i	0.127391	−	1.45608i	−0.616275	−	0.787531i	$-0.711359\pi$
$73$	1.08843	−	12.4408i	0.127391	−	1.45608i	0.743666	−	0.668552i	$-0.233085\pi$
$74$	22.8829	−	4.03488i	2.66009	−	0.469045i
$75$	5.78087	+	7.55322i	0.667518	+	0.872170i
$76$	−15.2058	−	0.875867i	−1.74422	−	0.100469i
$77$	6.19397	+	6.19397i	0.705868	+	0.705868i
$78$	−9.81518	+	14.0175i	−1.11135	+	1.58717i
$79$	−3.75275	+	3.14893i	−0.422217	+	0.354282i	−0.829006	−	0.559240i	$-0.811093\pi$
$79$	−3.75275	+	3.14893i	−0.422217	+	0.354282i	0.406788	+	0.913522i	$0.366649\pi$
$80$	−0.762472	−	2.62199i	−0.0852469	−	0.293147i
$81$	−9.84183	−	3.58213i	−1.09354	−	0.398015i
$82$	−0.442726	−	5.06038i	−0.0488909	−	0.558826i
$83$	−0.315418	−	1.17716i	−0.0346216	−	0.129210i	0.946452	−	0.322844i	$-0.104639\pi$
$83$	−0.315418	−	1.17716i	−0.0346216	−	0.129210i	−0.981074	+	0.193635i	$0.937972\pi$
$84$	−9.23677	−	15.9986i	−1.00781	−	1.74559i
$85$	−6.00278	−	9.90616i	−0.651093	−	1.07447i
$86$	−18.0792	−	3.18784i	−1.94953	−	0.343754i
$87$	−3.39324	+	12.6638i	−0.363794	+	1.35770i
$88$	10.6630	−	2.85714i	1.13668	−	0.304572i
$89$	2.74193	+	2.30075i	0.290644	+	0.243879i	0.776437	−	0.630195i	$-0.217025\pi$
$89$	2.74193	+	2.30075i	0.290644	+	0.243879i	−0.485794	+	0.874074i	$0.661469\pi$
$90$	3.02344	−	1.17359i	0.318698	−	0.123707i
$91$	3.64790	+	10.0225i	0.382403	+	1.05064i
$92$	−1.46042	−	0.127770i	−0.152259	−	0.0133210i
$93$	−0.324004	−	0.226870i	−0.0335976	−	0.0235253i
$94$	−20.0996			−2.07312
$95$	−6.63705	−	7.13789i	−0.680947	−	0.732332i
$96$	7.88029			0.804278
$97$	6.10904	+	4.27760i	0.620279	+	0.434324i	0.841017	−	0.541009i	$-0.181957\pi$
$97$	6.10904	+	4.27760i	0.620279	+	0.434324i	−0.220737	+	0.975333i	$0.570846\pi$
$98$	−1.69033	−	0.147884i	−0.170749	−	0.0149386i
$99$	0.667046	+	1.83269i	0.0670406	+	0.184193i
$100$	8.08654	−	15.4870i	0.808654	−	1.54870i
$101$	6.90331	+	5.79257i	0.686905	+	0.576382i	0.918015	−	0.396546i	$-0.129791\pi$
$101$	6.90331	+	5.79257i	0.686905	+	0.576382i	−0.231110	+	0.972928i	$0.574236\pi$
$102$	−22.3107	+	5.97814i	−2.20909	+	0.591924i
$103$	1.43481	−	5.35479i	0.141376	−	0.527623i	−0.858514	−	0.512790i	$-0.828612\pi$
$103$	1.43481	−	5.35479i	0.141376	−	0.527623i	0.999890	−	0.0148324i	$-0.00472148\pi$
$104$	13.2371	+	2.33406i	1.29801	+	0.228874i
$105$	2.81702	−	11.4813i	0.274913	−	1.12046i
$106$	−4.40721	−	7.63350i	−0.428066	−	0.741431i
$107$	−2.29227	−	8.55488i	−0.221602	−	0.827031i	−0.983737	−	0.179613i	$-0.942515\pi$
$107$	−2.29227	−	8.55488i	−0.221602	−	0.827031i	0.762135	−	0.647418i	$-0.224151\pi$
$108$	1.37952	+	15.7680i	0.132744	+	1.51727i
$109$	12.5747	+	4.57682i	1.20444	+	0.438380i	0.864771	−	0.502166i	$-0.167463\pi$
$109$	12.5747	+	4.57682i	1.20444	+	0.438380i	0.339667	+	0.940546i	$0.389686\pi$
$110$	14.4784	+	7.95483i	1.38046	+	0.758463i
$111$	14.4458	−	12.1215i	1.37114	−	1.15052i
$112$	−1.94663	+	2.78007i	−0.183939	+	0.262692i
$113$	7.92213	+	7.92213i	0.745252	+	0.745252i	0.973583	−	0.228332i	$-0.0733271\pi$
$113$	7.92213	+	7.92213i	0.745252	+	0.745252i	−0.228332	+	0.973583i	$0.573327\pi$
$114$	−17.3632	+	8.73407i	−1.62622	+	0.818021i
$115$	−0.618119	−	0.705715i	−0.0576399	−	0.0658082i
$116$	23.7159	−	4.18176i	2.20197	−	0.388266i
$117$	−0.206970	+	2.36568i	−0.0191344	+	0.218707i
$118$	2.00584	−	4.30153i	0.184652	−	0.395988i
$119$	−4.92385	+	13.5282i	−0.451369	+	1.24013i
$120$	−10.7556	−	10.3090i	−0.981844	−	0.941082i
$121$	0.532917	−	0.923039i	0.0484470	−	0.0839126i
$122$	23.0196	+	6.16807i	2.08409	+	0.558431i
$123$	−2.36460	−	3.37700i	−0.213209	−	0.304494i
$124$	−0.126161	+	0.715496i	−0.0113296	+	0.0642534i
$125$	10.5937	−	3.57405i	0.947528	−	0.319672i
$126$	−3.49092	−	2.01549i	−0.310996	−	0.179554i
$127$	−6.14927	+	0.537991i	−0.545659	+	0.0477390i	−0.356653	−	0.934237i	$-0.616082\pi$
$127$	−6.14927	+	0.537991i	−0.545659	+	0.0477390i	−0.189006	+	0.981976i	$0.560527\pi$
$128$	−8.53669	−	18.3070i	−0.754544	−	1.61812i
$129$	−14.0004	+	5.09573i	−1.23267	+	0.448654i
$130$	11.8839	+	16.2287i	1.04228	+	1.42335i
$131$	0.921493	+	5.22605i	0.0805113	+	0.456602i	0.998235	+	0.0593834i	$0.0189134\pi$
$131$	0.921493	+	5.22605i	0.0805113	+	0.456602i	−0.917724	+	0.397219i	$0.869975\pi$
$132$	14.8144	−	14.8144i	1.28942	−	1.28942i
$133$	−1.74806	+	11.9874i	−0.151576	+	1.03944i
$134$		−	3.83497i		−	0.331291i
$135$	−6.34487	+	7.89548i	−0.546080	+	0.679535i
$136$	11.6620	+	13.8982i	1.00001	+	1.19176i
$137$	−7.91691	−	3.69172i	−0.676387	−	0.315405i	0.0538984	−	0.998546i	$-0.482835\pi$
$137$	−7.91691	−	3.69172i	−0.676387	−	0.315405i	−0.730286	+	0.683142i	$0.760613\pi$
$138$	−1.69548	+	0.790615i	−0.144329	+	0.0673016i
$139$	4.01532	−	4.78527i	0.340575	−	0.405882i	−0.568386	−	0.822762i	$-0.692432\pi$
$139$	4.01532	−	4.78527i	0.340575	−	0.405882i	0.908961	+	0.416880i	$0.136877\pi$
$140$	−21.3001	+	4.22309i	−1.80019	+	0.356916i
$141$	−14.1269	+	8.15616i	−1.18970	+	0.686872i
$142$	−6.33321	+	4.43456i	−0.531471	+	0.372140i
$143$	−9.90839	+	6.93793i	−0.828581	+	0.580179i
$144$	−0.654399	+	0.377817i	−0.0545332	+	0.0314848i
$145$	12.8082	+	8.56970i	1.06366	+	0.711675i
$146$	−18.8159	+	22.4239i	−1.55721	+	1.85581i
$147$	−1.24804	+	0.581973i	−0.102937	+	0.0480003i
$148$	−31.3931	−	14.6388i	−2.58049	−	1.20330i
$149$	3.35260	+	3.99547i	0.274656	+	0.327322i	0.885686	−	0.464286i	$-0.153689\pi$
$149$	3.35260	+	3.99547i	0.274656	+	0.327322i	−0.611030	+	0.791608i	$0.709244\pi$
$150$	−0.944785	−	22.2748i	−0.0771414	−	1.81873i
$151$		−	20.4770i		−	1.66639i	−0.552976	−	0.833197i	$-0.686508\pi$
$151$		−	20.4770i		−	1.66639i	0.552976	−	0.833197i	$-0.313492\pi$
$152$	11.9815	+	9.46130i	0.971831	+	0.767413i
$153$	−2.26651	+	2.26651i	−0.183237	+	0.183237i
$154$	−3.56539	−	20.2203i	−0.287307	−	1.62940i
$155$	−0.375113	+	0.274686i	−0.0301298	+	0.0220633i
$156$	23.9713	−	8.72482i	1.91924	−	0.698545i
$157$	−4.92866	−	10.5695i	−0.393350	−	0.843542i	−0.998861	−	0.0477051i	$-0.984809\pi$
$157$	−4.92866	−	10.5695i	−0.393350	−	0.843542i	0.605512	−	0.795837i	$-0.292969\pi$
$158$	11.4391	−	1.00079i	0.910049	−	0.0796189i
$159$	−6.19515	−	3.57677i	−0.491307	−	0.283656i
$160$	2.98291	−	8.76944i	0.235820	−	0.693285i
$161$	−0.202475	+	1.14829i	−0.0159572	+	0.0904979i
$162$	14.0810	+	20.1098i	1.10631	+	1.57998i
$163$	4.55384	+	1.22020i	0.356684	+	0.0955732i	0.432711	−	0.901533i	$-0.357557\pi$
$163$	4.55384	+	1.22020i	0.356684	+	0.0955732i	−0.0760273	+	0.997106i	$0.524224\pi$
$164$	−3.78623	+	6.55794i	−0.295655	+	0.512089i
$165$	13.4040	−	0.284137i	1.04350	−	0.0221201i
$166$	−0.977002	+	2.68429i	−0.0758300	+	0.208341i
$167$	−0.135511	+	0.290604i	−0.0104862	+	0.0224876i	−0.911481	−	0.411342i	$-0.865060\pi$
$167$	−0.135511	+	0.290604i	−0.0104862	+	0.0224876i	0.900995	+	0.433830i	$0.142838\pi$
$168$	−1.61386	+	18.4465i	−0.124512	+	1.42318i
$169$	−1.70180	+	0.300073i	−0.130908	+	0.0230825i
$170$	−1.79256	+	27.0910i	−0.137483	+	2.07778i
$171$	−1.48070	+	2.25444i	−0.113232	+	0.172401i
$172$	19.3513	+	19.3513i	1.47552	+	1.47552i
$173$	−4.35657	+	6.22183i	−0.331224	+	0.473037i	−0.949875	−	0.312628i	$-0.898791\pi$
$173$	−4.35657	+	6.22183i	−0.331224	+	0.473037i	0.618651	+	0.785666i	$0.287679\pi$
$174$	23.5411	−	19.7533i	1.78464	−	1.49749i
$175$	−11.7104	−	7.48086i	−0.885225	−	0.565500i
$176$	−3.61681	−	1.31641i	−0.272627	−	0.0992281i
$177$	−0.335715	−	3.83724i	−0.0252339	−	0.288425i
$178$	−2.17146	−	8.10399i	−0.162758	−	0.607420i
$179$	−7.76584	−	13.4508i	−0.580446	−	1.00536i	−0.995426	−	0.0955314i	$-0.969545\pi$
$179$	−7.76584	−	13.4508i	−0.580446	−	1.00536i	0.414981	−	0.909830i	$-0.363788\pi$
$180$	−4.69548	−	1.15207i	−0.349981	−	0.0858704i
$181$	10.1081	+	1.78233i	0.751330	+	0.132480i	0.536183	−	0.844102i	$-0.319866\pi$
$181$	10.1081	+	1.78233i	0.751330	+	0.132480i	0.215147	+	0.976582i	$0.430977\pi$
$182$	6.47053	−	24.1484i	0.479628	−	1.79000i
$183$	18.6821	−	5.00585i	1.38102	−	0.370043i
$184$	1.12566	+	0.944537i	0.0829845	+	0.0696322i
$185$	−8.02104	−	20.6641i	−0.589719	−	1.51925i
$186$	0.317096	+	0.871214i	0.0232506	+	0.0638805i
$187$	−16.2647	−	1.42297i	−1.18939	−	0.104058i
$188$	24.5442	+	17.1861i	1.79007	+	1.25342i
$189$	12.5892			0.915730
$190$	3.14709	+	22.6285i	0.228314	+	1.64164i
$191$	−0.338908			−0.0245225			−0.0122613	−	0.999925i	$-0.503903\pi$
$191$	−0.338908			−0.0245225			−0.0122613	+	0.999925i	$0.503903\pi$
$192$	−18.9366	−	13.2595i	−1.36663	−	0.956924i
$193$	−14.8258	−	1.29709i	−1.06718	−	0.0933662i	−0.459992	−	0.887923i	$-0.652148\pi$
$193$	−14.8258	−	1.29709i	−1.06718	−	0.0933662i	−0.607190	+	0.794557i	$0.707703\pi$
$194$	−5.97880	−	16.4266i	−0.429252	−	1.17936i
$195$	14.9379	+	6.58391i	1.06972	+	0.471484i
$196$	1.93766	+	1.62589i	0.138404	+	0.116135i
$197$	7.21580	−	1.93347i	0.514105	−	0.137754i	0.00756626	−	0.999971i	$-0.497592\pi$
$197$	7.21580	−	1.93347i	0.514105	−	0.137754i	0.506538	+	0.862217i	$0.330925\pi$
$198$	1.18319	−	4.41572i	0.0840855	−	0.313811i
$199$	13.1293	+	2.31506i	0.930714	+	0.164110i	0.618395	−	0.785867i	$-0.287783\pi$
$199$	13.1293	+	2.31506i	0.930714	+	0.164110i	0.312319	+	0.949977i	$0.398894\pi$
$200$	−15.5435	+	8.06689i	−1.09909	+	0.570415i
$201$	−1.55618	−	2.69538i	−0.109764	−	0.190118i
$202$	−5.46705	−	20.4033i	−0.384660	−	1.43557i
$203$	−1.66937	−	19.0809i	−0.117167	−	1.33922i
$204$	32.3559	+	11.7766i	2.26536	+	0.824525i
$205$	−4.65311	+	1.35312i	−0.324987	+	0.0945059i
$206$	−9.95418	+	8.35255i	−0.693541	+	0.581950i
$207$	−0.148906	+	0.212660i	−0.0103497	+	0.0147809i
$208$	−3.31384	−	3.31384i	−0.229773	−	0.229773i
$209$	−13.6447	+	1.60369i	−0.943822	+	0.110930i
$210$	−20.8449	+	18.2576i	−1.43843	+	1.25989i
$211$	−10.4614	+	1.84463i	−0.720195	+	0.126990i	−0.521721	−	0.853116i	$-0.674710\pi$
$211$	−10.4614	+	1.84463i	−0.720195	+	0.126990i	−0.198474	+	0.980106i	$0.563599\pi$
$212$	−1.14521	+	13.0899i	−0.0786537	+	0.899016i
$213$	−2.65177	+	5.68674i	−0.181696	+	0.389649i
$214$	−7.10027	+	19.5078i	−0.485365	+	1.33353i
$215$	0.371154	+	17.5090i	0.0253125	+	1.19410i
$216$	7.93268	−	13.7398i	0.539750	−	0.934875i
$217$	0.558170	+	0.149561i	0.0378910	+	0.0101529i
$218$	−17.9910	−	25.6939i	−1.21851	−	1.74021i
$219$	−4.12529	+	23.3957i	−0.278761	+	1.58093i
$220$	−10.8783	−	22.0936i	−0.733412	−	1.48955i
$221$	−17.2162	−	9.93980i	−1.15809	−	0.668624i
$222$	−44.0338	+	3.85245i	−2.95535	+	0.258560i
$223$	11.1806	+	23.9770i	0.748712	+	1.60562i	0.794941	+	0.606687i	$0.207502\pi$
$223$	11.1806	+	23.9770i	0.748712	+	1.60562i	−0.0462295	+	0.998931i	$0.514721\pi$
$224$	−10.8184	+	3.93759i	−0.722837	+	0.263091i
$225$	−1.65911	−	2.61145i	−0.110607	−	0.174096i
$226$	−4.56017	−	25.8620i	−0.303338	−	1.72031i
$227$	16.0488	−	16.0488i	1.06520	−	1.06520i	0.0674780	−	0.997721i	$-0.478505\pi$
$227$	16.0488	−	16.0488i	1.06520	−	1.06520i	0.997721	−	0.0674780i	$-0.0214953\pi$
$228$	28.6708	+	4.18090i	1.89877	+	0.276887i
$229$			4.46621i			0.295135i	0.989052	+	0.147568i	$0.0471444\pi$
$229$			4.46621i			0.295135i	−0.989052	+	0.147568i	$0.952856\pi$
$230$	0.238036	+	2.18605i	0.0156956	+	0.144144i
$231$	−10.7111	−	12.7649i	−0.704736	−	0.839872i
$232$	−21.8768	−	10.2013i	−1.43628	−	0.669748i
$233$	16.6813	−	7.77862i	1.09283	−	0.509594i	0.209243	−	0.977864i	$-0.432900\pi$
$233$	16.6813	−	7.77862i	1.09283	−	0.509594i	0.883586	+	0.468270i	$0.155122\pi$
$234$	3.57793	−	4.26401i	0.233897	−	0.278747i
$235$	3.72902	+	18.8082i	0.243255	+	1.22691i
$236$	−6.12739	+	3.53765i	−0.398859	+	0.230281i
$237$	7.63381	−	5.34525i	0.495869	−	0.347211i
$238$	27.6421	−	19.3552i	1.79177	−	1.25461i
$239$	11.9733	−	6.91280i	0.774490	−	0.447152i	−0.0599839	−	0.998199i	$-0.519105\pi$
$239$	11.9733	−	6.91280i	0.774490	−	0.447152i	0.834474	+	0.551047i	$0.185772\pi$
$240$	1.01022	+	5.09527i	0.0652094	+	0.328899i
$241$	−1.42682	+	1.70042i	−0.0919095	+	0.109534i	−0.810039	−	0.586376i	$-0.800554\pi$
$241$	−1.42682	+	1.70042i	−0.0919095	+	0.109534i	0.718129	+	0.695910i	$0.244999\pi$
$242$	−2.26422	+	1.05582i	−0.145549	+	0.0678708i
$243$	5.74084	+	2.67700i	0.368275	+	0.171730i
$244$	−22.8359	−	27.2148i	−1.46192	−	1.74225i
$245$	0.175219	+	1.60916i	0.0111943	+	0.102805i
$246$			9.66318i			0.616102i
$247$	−15.8825	−	5.25160i	−1.01058	−	0.334151i
$248$	0.514943	−	0.514943i	0.0326989	−	0.0326989i
$249$	0.402570	+	2.28309i	0.0255119	+	0.144685i
$250$	−25.1458	−	7.38025i	−1.59036	−	0.466768i
$251$	−21.5140	+	7.83045i	−1.35795	+	0.494254i	−0.915420	−	0.402499i	$-0.868142\pi$
$251$	−21.5140	+	7.83045i	−1.35795	+	0.494254i	−0.442531	+	0.896753i	$0.645919\pi$
$252$	2.53954	+	5.44607i	0.159976	+	0.343070i
$253$	−1.31732	+	0.115251i	−0.0828194	+	0.00724575i
$254$	12.5303	+	7.23440i	0.786224	+	0.453926i
$255$	9.73328	+	19.7681i	0.609522	+	1.23793i
$256$	−4.00134	+	22.6927i	−0.250084	+	1.41830i
$257$	9.82734	+	14.0349i	0.613013	+	0.875473i	0.998891	−	0.0470768i	$-0.0149905\pi$
$257$	9.82734	+	14.0349i	0.613013	+	0.875473i	−0.385879	+	0.922550i	$0.626102\pi$
$258$	33.7328	+	9.03867i	2.10011	+	0.562723i
$259$	−13.7751	+	23.8592i	−0.855944	+	1.48254i
$260$	−0.635484	−	29.9786i	−0.0394111	−	1.85919i
$261$	1.45857	−	4.00739i	0.0902833	−	0.248051i
$262$	5.25683	−	11.2733i	0.324768	−	0.696467i
$263$	0.474931	−	5.42848i	0.0292855	−	0.334735i	−0.967392	−	0.253284i	$-0.918489\pi$
$263$	0.474931	−	5.42848i	0.0292855	−	0.334735i	0.996677	−	0.0814505i	$-0.0259552\pi$
$264$	−20.6808	+	3.64659i	−1.27282	+	0.224432i
$265$	−6.32539	+	5.54026i	−0.388565	+	0.340335i
$266$	19.4729	−	20.6665i	1.19396	−	1.26715i
$267$	−4.81469	−	4.81469i	−0.294654	−	0.294654i
$268$	−3.27907	+	4.68300i	−0.200301	+	0.286060i
$269$	−5.61407	+	4.71077i	−0.342296	+	0.287220i	−0.797688	−	0.603071i	$-0.793944\pi$
$269$	−5.61407	+	4.71077i	−0.342296	+	0.287220i	0.455392	+	0.890291i	$0.349499\pi$
$270$	22.7977	−	6.62954i	1.38742	−	0.403461i
$271$	28.3871	+	10.3321i	1.72439	+	0.627628i	0.998206	−	0.0598702i	$-0.0190687\pi$
$271$	28.3871	+	10.3321i	1.72439	+	0.627628i	0.726186	+	0.687498i	$0.241291\pi$
$272$	−0.551321	−	6.30163i	−0.0334288	−	0.382093i
$273$	−5.25132	−	19.5982i	−0.317824	−	1.18614i
$274$	10.2377	+	17.7323i	0.618483	+	1.07124i
$275$	4.75759	−	15.0240i	0.286893	−	0.905979i
$276$	2.74641	+	0.484267i	0.165315	+	0.0291494i
$277$	−6.94321	+	25.9124i	−0.417177	+	1.55693i	0.363257	+	0.931689i	$0.381665\pi$
$277$	−6.94321	+	25.9124i	−0.417177	+	1.55693i	−0.780434	+	0.625238i	$0.785002\pi$
$278$	−14.1433	+	3.78968i	−0.848257	+	0.227290i
$279$	0.0985591	+	0.0827009i	0.00590058	+	0.00495117i
$280$	19.9169	+	8.77845i	1.19026	+	0.524613i
$281$	5.24613	+	14.4136i	0.312958	+	0.859845i	0.992056	+	0.125797i	$0.0401489\pi$
$281$	5.24613	+	14.4136i	0.312958	+	0.859845i	−0.679098	+	0.734048i	$0.737629\pi$
$282$	38.0902	+	3.33246i	2.26824	+	0.198445i
$283$	8.73951	+	6.11947i	0.519510	+	0.363765i	0.803730	−	0.594994i	$-0.202846\pi$
$283$	8.73951	+	6.11947i	0.519510	+	0.363765i	−0.284220	+	0.958759i	$0.591735\pi$
$284$	11.5254			0.683908
$285$	11.3942	+	14.6272i	0.674937	+	0.866442i
$286$	28.3525			1.67652
$287$	4.93365	+	3.45458i	0.291224	+	0.203917i
$288$	−2.55354	−	0.223406i	−0.150469	−	0.0131643i
$289$	−3.36311	−	9.24007i	−0.197830	−	0.543533i
$290$	−13.0712	−	33.6744i	−0.767566	−	1.97743i
$291$	−10.8679	−	9.11922i	−0.637085	−	0.534578i
$292$	42.1500	−	11.2941i	2.46664	−	0.660935i
$293$	−2.90994	+	10.8601i	−0.170001	+	0.634451i	0.827349	+	0.561689i	$0.189848\pi$
$293$	−2.90994	+	10.8601i	−0.170001	+	0.634451i	−0.997349	+	0.0727625i	$0.976819\pi$
$294$	3.17877	+	0.560503i	0.185390	+	0.0326892i
$295$	−4.39729	−	1.07891i	−0.256020	−	0.0628165i
$296$	17.3599	+	30.0682i	1.00902	+	1.74768i
$297$	3.69524	+	13.7908i	0.214419	+	0.800224i
$298$	−1.06553	−	12.1790i	−0.0617242	−	0.705511i
$299$	−1.51301	−	0.550689i	−0.0874994	−	0.0318472i
$300$	−17.8923	+	28.0083i	−1.03301	+	1.61706i
$301$	16.6742	−	13.9913i	0.961086	−	0.806447i
$302$	−27.5303	+	39.3173i	−1.58419	+	2.26246i
$303$	−12.1219	−	12.1219i	−0.696384	−	0.696384i
$304$	−1.52990	−	5.09833i	−0.0877456	−	0.292409i
$305$	1.50101	−	22.6849i	0.0859478	−	1.29893i
$306$	7.39909	−	1.30466i	0.422978	−	0.0745824i
$307$	1.46270	−	16.7187i	0.0834807	−	0.954188i	−0.832780	−	0.553605i	$-0.813252\pi$
$307$	1.46270	−	16.7187i	0.0834807	−	0.954188i	0.916260	−	0.400584i	$-0.131193\pi$
$308$	−12.9355	+	27.7403i	−0.737068	+	1.58065i
$309$	−3.60688	+	9.90981i	−0.205188	+	0.563749i
$310$	1.08955	−	0.0230961i	0.0618820	−	0.00131177i
$311$	−11.7668	+	20.3806i	−0.667231	+	1.15568i	0.311444	+	0.950265i	$0.399187\pi$
$311$	−11.7668	+	20.3806i	−0.667231	+	1.15568i	−0.978675	+	0.205414i	$0.934146\pi$
$312$	−24.6983	−	6.61789i	−1.39827	−	0.374664i
$313$	−3.20124	−	4.57185i	−0.180945	−	0.258416i	0.718425	−	0.695604i	$-0.244863\pi$
$313$	−3.20124	−	4.57185i	−0.180945	−	0.258416i	−0.899370	+	0.437188i	$0.855974\pi$
$314$	−4.74684	+	26.9206i	−0.267879	+	1.51922i
$315$	−1.23833	+	3.64055i	−0.0697718	+	0.205122i
$316$	−14.8244	−	8.55887i	−0.833938	−	0.481474i
$317$	23.3302	−	2.04113i	1.31035	−	0.114641i	0.589523	−	0.807751i	$-0.299316\pi$
$317$	23.3302	−	2.04113i	1.31035	−	0.114641i	0.720832	+	0.693110i	$0.243760\pi$
$318$	7.08635	+	15.1967i	0.397383	+	0.852190i
$319$	20.4122	−	7.42942i	1.14286	−	0.415968i
$320$	−21.9236	+	16.0541i	−1.22557	+	0.897453i
$321$	2.92564	+	16.5922i	0.163294	+	0.926084i
$322$	1.93258	−	1.93258i	0.107699	−	0.107699i
$323$	−11.8659	−	19.2101i	−0.660239	−	1.06888i
$324$		−	36.5966i		−	2.03315i
$325$	12.9812	−	14.1312i	0.720067	−	0.783856i
$326$	−7.10320	−	8.46527i	−0.393410	−	0.468848i
$327$	−23.0711	−	10.7582i	−1.27584	−	0.594932i
$328$	6.87909	−	3.20777i	0.379834	−	0.177120i
$329$	15.3186	−	18.2560i	0.844543	−	1.00649i
$330$	−26.1187	−	17.4754i	−1.43779	−	0.961991i
$331$	13.3073	−	7.68298i	0.731436	−	0.422295i	−0.0875111	−	0.996164i	$-0.527891\pi$
$331$	13.3073	−	7.68298i	0.731436	−	0.422295i	0.818947	+	0.573869i	$0.194558\pi$
$332$	3.48824	−	2.44249i	0.191442	−	0.134049i
$333$	−5.02470	+	3.51833i	−0.275352	+	0.192803i
$334$	0.650894	−	0.375794i	0.0356153	−	0.0205625i
$335$	−3.58857	+	0.711491i	−0.196064	+	0.0388729i
$336$	4.14993	−	4.94569i	0.226397	−	0.269810i
$337$	−1.80713	+	0.842678i	−0.0984406	+	0.0459036i	−0.471215	−	0.882018i	$-0.656184\pi$
$337$	−1.80713	+	0.842678i	−0.0984406	+	0.0459036i	0.372774	+	0.927922i	$0.378407\pi$
$338$	3.67101	+	1.71182i	0.199677	+	0.0931107i
$339$	−13.6995	−	16.3265i	−0.744057	−	0.886732i
$340$	25.3530	−	31.5489i	1.37496	−	1.71098i
$341$			0.655345i			0.0354889i
$342$	5.87403	−	2.33796i	0.317631	−	0.126422i
$343$	−12.3337	+	12.3337i	−0.665957	+	0.665957i
$344$	−4.76336	−	27.0144i	−0.256823	−	1.45652i
$345$	1.05437	+	1.43986i	0.0567656	+	0.0775196i
$346$	16.7299	−	6.08918i	0.899404	−	0.327356i
$347$	−11.0584	−	23.7149i	−0.593647	−	1.27308i	−0.941967	−	0.335705i	$-0.891025\pi$
$347$	−11.0584	−	23.7149i	−0.593647	−	1.27308i	0.348320	−	0.937376i	$-0.386752\pi$
$348$	−45.6367	+	3.99269i	−2.44638	+	0.214031i
$349$	−18.8907	−	10.9065i	−1.01119	−	0.583813i	−0.0996533	−	0.995022i	$-0.531773\pi$
$349$	−18.8907	−	10.9065i	−1.01119	−	0.583813i	−0.911541	+	0.411209i	$0.865107\pi$
$350$	12.4272	+	30.1079i	0.664264	+	1.60933i
$351$	−3.01872	+	17.1200i	−0.161127	+	0.913799i
$352$	−7.48890	−	10.6953i	−0.399159	−	0.570059i
$353$	−16.6755	−	4.46820i	−0.887549	−	0.237818i	−0.213888	−	0.976858i	$-0.568613\pi$
$353$	−16.6755	−	4.46820i	−0.887549	−	0.237818i	−0.673661	+	0.739040i	$0.735279\pi$
$354$	−4.51438	+	7.81914i	−0.239937	+	0.415583i
$355$	5.32462	+	5.10356i	0.282601	+	0.270869i
$356$	−4.27764	+	11.7527i	−0.226715	+	0.622893i
$357$	11.5740	−	24.8205i	0.612560	−	1.31364i
$358$	−3.17298	+	36.2673i	−0.167697	+	1.91679i
$359$	−2.68655	+	0.473710i	−0.141790	+	0.0250015i	−0.244093	−	0.969752i	$-0.578490\pi$
$359$	−2.68655	+	0.473710i	−0.141790	+	0.0250015i	0.102302	+	0.994753i	$0.467379\pi$
$360$	3.19299	+	3.64548i	0.168285	+	0.192134i
$361$	−13.0563	−	13.8034i	−0.687173	−	0.726494i
$362$	−17.0121	−	17.0121i	−0.894134	−	0.894134i
$363$	−1.16295	+	1.66087i	−0.0610392	+	0.0871730i
$364$	−28.5493	+	23.9557i	−1.49639	+	1.25562i
$365$	24.4740	+	13.4467i	1.28103	+	0.703831i
$366$	−42.6011	−	15.5055i	−2.22679	−	0.810486i
$367$	1.43543	+	16.4071i	0.0749290	+	0.856443i	0.936926	+	0.349529i	$0.113658\pi$
$367$	1.43543	+	16.4071i	0.0749290	+	0.856443i	−0.861997	+	0.506914i	$0.830786\pi$
$368$	−0.132603	−	0.494880i	−0.00691239	−	0.0257974i
$369$	0.670493	+	1.16133i	0.0349045	+	0.0604563i
$370$	−12.3809	+	50.4605i	−0.643650	+	2.62331i
$371$	10.2922	+	1.81480i	0.534346	+	0.0942196i
$372$	0.357712	−	1.33500i	0.0185465	−	0.0692164i
$373$	−4.25262	+	1.13949i	−0.220192	+	0.0590003i	−0.367228	−	0.930131i	$-0.619693\pi$
$373$	−4.25262	+	1.13949i	−0.220192	+	0.0590003i	0.147036	+	0.989131i	$0.453027\pi$
$374$	29.3162	+	24.5992i	1.51591	+	1.27200i
$375$	−20.6684	+	5.01667i	−1.06731	+	0.259060i
$376$	−10.2720	−	28.2221i	−0.529739	−	1.45544i
$377$	26.3484	+	2.30519i	1.35701	+	0.118723i
$378$	−24.1722	−	16.9256i	−1.24328	−	0.870557i
$379$	6.71745			0.345052			0.172526	−	0.985005i	$-0.444807\pi$
$379$	6.71745			0.345052			0.172526	+	0.985005i	$0.444807\pi$
$380$	15.5053	−	30.3232i	0.795407	−	1.55555i
$381$	11.7425			0.601586
$382$	0.650728	+	0.455644i	0.0332941	+	0.0233128i
$383$	25.2196	+	2.20643i	1.28866	+	0.112743i	0.710800	−	0.703394i	$-0.248333\pi$
$383$	25.2196	+	2.20643i	1.28866	+	0.112743i	0.577859	+	0.816137i	$0.303888\pi$
$384$	13.1424	+	36.1084i	0.670670	+	1.84265i
$385$	−18.2597	+	7.08773i	−0.930600	+	0.361224i
$386$	26.7227	+	22.4230i	1.36015	+	1.14130i
$387$	4.68118	−	1.25432i	0.237958	−	0.0637606i
$388$	−6.74460	+	25.1712i	−0.342405	+	1.27787i
$389$	−10.5707	−	1.86390i	−0.535957	−	0.0945036i	−0.100883	−	0.994898i	$-0.532167\pi$
$389$	−10.5707	−	1.86390i	−0.535957	−	0.0945036i	−0.435074	+	0.900395i	$0.643278\pi$
$390$	−19.8301	−	32.7248i	−1.00413	−	1.65709i
$391$	−1.08664	−	1.88212i	−0.0549540	−	0.0951830i
$392$	−0.656204	−	2.44899i	−0.0331433	−	0.123692i
$393$	−0.879831	−	10.0565i	−0.0443816	−	0.507284i
$394$	−16.4543	−	5.98888i	−0.828956	−	0.301715i
$395$	−3.05876	−	10.5185i	−0.153903	−	0.529242i
$396$	−5.22046	+	4.38049i	−0.262338	+	0.220128i
$397$	−0.809277	+	1.15577i	−0.0406164	+	0.0580063i	−0.838947	−	0.544214i	$-0.816828\pi$
$397$	−0.809277	+	1.15577i	−0.0406164	+	0.0580063i	0.798330	+	0.602220i	$0.205717\pi$
$398$	−22.0968	−	22.0968i	−1.10761	−	1.10761i
$399$	5.30018	−	22.4272i	0.265341	−	1.12276i
$400$	6.05258	+	0.804497i	0.302629	+	0.0402249i
$401$	15.3650	−	2.70927i	0.767292	−	0.135294i	0.223716	−	0.974654i	$-0.428181\pi$
$401$	15.3650	−	2.70927i	0.767292	−	0.135294i	0.543576	+	0.839360i	$0.317070\pi$
$402$	−0.635827	+	7.26754i	−0.0317122	+	0.362472i
$403$	−0.337229	+	0.723191i	−0.0167986	+	0.0360247i
$404$	−10.7698	+	29.5897i	−0.535816	+	1.47214i
$405$	16.2053	−	16.9072i	0.805248	−	0.840127i
$406$	−22.4481	+	38.8812i	−1.11408	+	1.92964i
$407$	−30.1798	−	8.08666i	−1.49596	−	0.400841i
$408$	−19.7960	−	28.2716i	−0.980048	−	1.39965i
$409$	6.55532	−	37.1771i	0.324140	−	1.83829i	−0.191514	−	0.981490i	$-0.561340\pi$
$409$	6.55532	−	37.1771i	0.324140	−	1.83829i	0.515653	−	0.856797i	$-0.327549\pi$
$410$	10.7535	+	3.65778i	0.531078	+	0.180645i
$411$	14.3910	+	8.30867i	0.709857	+	0.409836i
$412$	19.2972	−	1.68828i	0.950703	−	0.0831757i
$413$	2.37827	+	5.10021i	0.117027	+	0.250965i
$414$	0.571820	−	0.208126i	0.0281034	−	0.0102288i
$415$	2.69308	+	0.416219i	0.132198	+	0.0204314i
$416$	−2.76060	−	15.6561i	−0.135350	−	0.767606i
$417$	−8.40270	+	8.40270i	−0.411482	+	0.411482i
$418$	28.3549	+	15.2654i	1.38688	+	0.746654i
$419$		−	5.57741i		−	0.272474i	−0.990676	−	0.136237i	$-0.956499\pi$
$419$		−	5.57741i		−	0.272474i	0.990676	−	0.136237i	$-0.0435009\pi$
$420$	41.0654	−	4.47155i	2.00379	−	0.218189i
$421$	18.7653	+	22.3636i	0.914565	+	1.08994i	0.995645	+	0.0932288i	$0.0297188\pi$
$421$	18.7653	+	22.3636i	0.914565	+	1.08994i	−0.0810795	+	0.996708i	$0.525837\pi$
$422$	22.5667	+	10.5230i	1.09853	+	0.512254i
$423$	4.80893	−	2.24244i	0.233818	−	0.109031i
$424$	8.46598	−	10.0894i	0.411144	−	0.489983i
$425$	25.6829	−	3.34873i	1.24581	−	0.162437i
$426$	12.7371	−	7.35378i	0.617115	−	0.356292i
$427$	−23.1464	+	16.2073i	−1.12013	+	0.784324i
$428$	25.3504	−	17.7506i	1.22536	−	0.858006i
$429$	19.9274	−	11.5051i	0.962103	−	0.555470i
$430$	22.8273	−	34.1175i	1.10083	−	1.64529i
$431$	16.0481	−	19.1254i	0.773012	−	0.921240i	−0.225583	−	0.974224i	$-0.572429\pi$
$431$	16.0481	−	19.1254i	0.773012	−	0.921240i	0.998595	+	0.0529840i	$0.0168732\pi$
$432$	−5.01337	+	2.33777i	−0.241206	+	0.112476i
$433$	−18.5162	−	8.63426i	−0.889833	−	0.414936i	−0.0767272	−	0.997052i	$-0.524447\pi$
$433$	−18.5162	−	8.63426i	−0.889833	−	0.414936i	−0.813106	+	0.582116i	$0.802225\pi$
$434$	−0.870649	−	1.03760i	−0.0417925	−	0.0498064i
$435$	−22.8516	−	18.3638i	−1.09565	−	0.880474i
$436$			46.7587i			2.23934i
$437$	−1.21663	−	1.36536i	−0.0581994	−	0.0653139i
$438$	39.3752	−	39.3752i	1.88142	−	1.88142i
$439$	−2.43092	−	13.7864i	−0.116022	−	0.657991i	−0.986239	−	0.165324i	$-0.947133\pi$
$439$	−2.43092	−	13.7864i	−0.116022	−	0.657991i	0.870218	−	0.492667i	$-0.163978\pi$
$440$	−3.77023	+	24.3946i	−0.179738	+	1.16297i
$441$	0.420918	−	0.153201i	0.0200437	−	0.00729531i
$442$	19.6929	+	42.2315i	0.936695	+	2.00875i
$443$	−23.2073	+	2.03038i	−1.10261	+	0.0964662i	−0.623900	−	0.781504i	$-0.714453\pi$
$443$	−23.2073	+	2.03038i	−1.10261	+	0.0964662i	−0.478715	+	0.877971i	$0.658897\pi$
$444$	57.0650	+	32.9465i	2.70819	+	1.56357i
$445$	−7.18044	+	3.53545i	−0.340385	+	0.167596i
$446$	10.7682	−	61.0694i	0.509888	−	2.89172i
$447$	−5.69098	−	8.12756i	−0.269174	−	0.384420i
$448$	32.6225	+	8.74117i	1.54127	+	0.412981i
$449$	7.01160	−	12.1444i	0.330898	−	0.573132i	−0.651790	−	0.758399i	$-0.725982\pi$
$449$	7.01160	−	12.1444i	0.330898	−	0.573132i	0.982688	+	0.185267i	$0.0593151\pi$
$450$	−0.325341	+	7.24476i	−0.0153367	+	0.341521i
$451$	−2.33616	+	6.41856i	−0.110006	+	0.302238i
$452$	−16.5446	+	35.4800i	−0.778193	+	1.66884i
$453$	−3.39503	+	38.8054i	−0.159512	+	1.82324i
$454$	−52.3918	+	9.23809i	−2.45887	+	0.433565i
$455$	−23.7973	−	1.57462i	−1.11563	−	0.0738192i
$456$	−21.1372	−	19.9163i	−0.989840	−	0.932669i
$457$	−1.92188	−	1.92188i	−0.0899016	−	0.0899016i	0.660726	−	0.750627i	$-0.270249\pi$
$457$	−1.92188	−	1.92188i	−0.0899016	−	0.0899016i	−0.750627	+	0.660726i	$0.770249\pi$
$458$	6.00459	−	8.57545i	0.280576	−	0.400704i
$459$	−17.9750	+	15.0828i	−0.839002	+	0.704006i
$460$	1.57850	−	2.87299i	0.0735980	−	0.133954i
$461$	−33.1987	−	12.0833i	−1.54622	−	0.562777i	−0.578690	−	0.815547i	$-0.696436\pi$
$461$	−33.1987	−	12.0833i	−1.54622	−	0.562777i	−0.967526	+	0.252771i	$0.918658\pi$
$462$	3.40419	+	38.9101i	0.158377	+	1.81026i
$463$	1.32001	+	4.92635i	0.0613462	+	0.228947i	0.989792	−	0.142522i	$-0.0455210\pi$
$463$	1.32001	+	4.92635i	0.0613462	+	0.228947i	−0.928446	+	0.371469i	$0.878854\pi$
$464$	4.20805	+	7.28856i	0.195354	+	0.338363i
$465$	0.756408	−	0.458356i	0.0350776	−	0.0212558i
$466$	−42.4873	−	7.49165i	−1.96818	−	0.347044i
$467$	−6.99909	+	26.1210i	−0.323879	+	1.20873i	0.591554	+	0.806265i	$0.298515\pi$
$467$	−6.99909	+	26.1210i	−0.323879	+	1.20873i	−0.915434	+	0.402469i	$0.868152\pi$
$468$	−8.01504	+	2.14762i	−0.370495	+	0.0992739i
$469$	3.48322	+	2.92277i	0.160840	+	0.134961i
$470$	18.1267	−	41.1266i	0.836120	−	1.89703i
$471$	7.58776	+	20.8472i	0.349626	+	0.960588i
$472$	7.06493	+	0.618101i	0.325190	+	0.0284504i
$473$	20.2211	+	14.1589i	0.929765	+	0.651029i
$474$	−21.8439			−1.00332
$475$	20.5907	−	7.14308i	0.944765	−	0.327747i
$476$	−50.3042			−2.30569
$477$	1.90609	+	1.33466i	0.0872737	+	0.0611097i
$478$	−32.2836	−	2.82445i	−1.47662	−	0.129187i
$479$	4.36649	+	11.9968i	0.199510	+	0.548149i	0.998591	−	0.0530748i	$-0.0169022\pi$
$479$	4.36649	+	11.9968i	0.199510	+	0.548149i	−0.799081	+	0.601224i	$0.794680\pi$
$480$	−7.10677	+	16.1242i	−0.324378	+	0.735964i
$481$	−29.1430	−	24.4538i	−1.32880	−	1.11500i
$482$	5.02572	−	1.34664i	0.228915	−	0.0613377i
$483$	0.574087	−	2.14252i	0.0261219	−	0.0974881i
$484$	3.66768	+	0.646711i	0.166713	+	0.0293960i
$485$	−14.2619	+	8.64223i	−0.647602	+	0.392424i
$486$	−7.42375	−	12.8583i	−0.336748	−	0.583265i
$487$	5.40044	+	20.1547i	0.244717	+	0.913298i	0.973525	+	0.228580i	$0.0734081\pi$
$487$	5.40044	+	20.1547i	0.244717	+	0.913298i	−0.728808	+	0.684718i	$0.759925\pi$
$488$	3.10360	+	35.4743i	0.140493	+	1.60585i
$489$	−8.42754	−	3.06737i	−0.381106	−	0.138711i
$490$	1.82700	−	3.32527i	0.0825354	−	0.150220i
$491$	−13.9474	+	11.7033i	−0.629438	+	0.528161i	−0.900754	−	0.434329i	$-0.856985\pi$
$491$	−13.9474	+	11.7033i	−0.629438	+	0.528161i	0.271316	+	0.962490i	$0.412541\pi$
$492$	8.26246	−	11.8000i	0.372500	−	0.531986i
$493$	25.2440	+	25.2440i	1.13693	+	1.13693i
$494$	23.4350	+	31.4367i	1.05439	+	1.41440i
$495$	−4.35151	−	0.287931i	−0.195586	−	0.0129415i
$496$	−0.250052	+	0.0440908i	−0.0112276	+	0.00197974i
$497$	0.798951	−	9.13205i	0.0358378	−	0.409628i
$498$	2.29654	−	4.92494i	0.102910	−	0.220692i
$499$	10.1881	−	27.9915i	0.456081	−	1.25307i	−0.472299	−	0.881438i	$-0.656576\pi$
$499$	10.1881	−	27.9915i	0.456081	−	1.25307i	0.928380	−	0.371633i	$-0.121202\pi$
$500$	24.3958	+	30.5130i	1.09102	+	1.36458i
$501$	0.304985	−	0.528249i	0.0136257	−	0.0236004i
$502$	51.8361	+	13.8894i	2.31356	+	0.619916i
$503$	−8.80620	−	12.5766i	−0.392649	−	0.560761i	0.573349	−	0.819311i	$-0.305644\pi$
$503$	−8.80620	−	12.5766i	−0.392649	−	0.560761i	−0.965998	+	0.258551i	$0.916755\pi$
$504$	1.04591	−	5.93168i	0.0465887	−	0.264218i
$505$	−18.0781	+	8.90116i	−0.804464	+	0.396096i
$506$	2.68430	+	1.54978i	0.119332	+	0.0688963i
$507$	3.27478	−	0.286506i	0.145438	−	0.0127242i
$508$	−9.11546	−	19.5482i	−0.404433	−	0.867309i
$509$	−2.72263	+	0.990955i	−0.120678	+	0.0439233i	−0.401653	−	0.915792i	$-0.631564\pi$
$509$	−2.72263	+	0.990955i	−0.120678	+	0.0439233i	0.280975	+	0.959715i	$0.409342\pi$
$510$	7.88863	−	51.0421i	0.349315	−	2.26018i
$511$	−6.02687	−	34.1801i	−0.266613	−	1.51204i
$512$	9.62565	−	9.62565i	0.425398	−	0.425398i
$513$	−12.2366	+	15.4961i	−0.540260	+	0.684171i
$514$		−	40.1604i		−	1.77140i
$515$	9.66266	+	7.76499i	0.425788	+	0.342166i
$516$	−33.4637	−	39.8804i	−1.47316	−	1.75564i
$517$	24.4949	+	11.4222i	1.07728	+	0.502346i
$518$	58.5267	−	27.2914i	2.57152	−	1.19912i
$519$	9.28758	−	11.0685i	0.407680	−	0.485854i
$520$	−16.7136	+	24.9800i	−0.732940	+	1.09545i
$521$	9.37387	−	5.41201i	0.410677	−	0.237104i	−0.280404	−	0.959882i	$-0.590468\pi$
$521$	9.37387	−	5.41201i	0.410677	−	0.237104i	0.691080	+	0.722778i	$0.257135\pi$
$522$	−8.18830	+	5.73351i	−0.358392	+	0.250949i
$523$	2.21715	−	1.55246i	0.0969491	−	0.0678845i	−0.524097	−	0.851659i	$-0.675597\pi$
$523$	2.21715	−	1.55246i	0.0969491	−	0.0678845i	0.621046	+	0.783774i	$0.286708\pi$
$524$	−16.0585	+	9.27135i	−0.701517	+	0.405021i
$525$	20.9518	+	16.1183i	0.914411	+	0.703461i
$526$	−8.21023	+	9.78457i	−0.357983	+	0.426627i
$527$	−0.976147	+	0.455185i	−0.0425217	+	0.0198282i
$528$	6.63585	+	3.09435i	0.288788	+	0.134664i
$529$	14.6710	+	17.4842i	0.637868	+	0.760182i
$530$	19.5938	−	2.13354i	0.851100	−	0.0926751i
$531$			1.25295i			0.0543732i
$532$	−41.4498	+	8.58636i	−1.79708	+	0.372266i
$533$	−5.88089	+	5.88089i	−0.254730	+	0.254730i
$534$	2.77145	+	15.7177i	0.119932	+	0.680170i
$535$	19.5717	+	3.02484i	0.846160	+	0.130775i
$536$	5.38473	−	1.95988i	0.232585	−	0.0846540i
$537$	12.4867	+	26.7778i	0.538841	+	1.15555i
$538$	17.1128	−	1.49718i	0.737786	−	0.0645479i
$539$	1.97592	+	1.14080i	0.0851089	+	0.0491376i
$540$	−33.5075	−	11.3975i	−1.44193	−	0.490471i
$541$	2.66157	−	15.0945i	0.114430	−	0.648964i	−0.872601	−	0.488434i	$-0.837568\pi$
$541$	2.66157	−	15.0945i	0.114430	−	0.648964i	0.987031	−	0.160530i	$-0.0513205\pi$
$542$	−40.6144	−	58.0033i	−1.74454	−	2.49146i
$543$	−18.8601	−	5.05354i	−0.809363	−	0.216868i
$544$	10.7292	−	18.5835i	0.460009	−	0.796759i
$545$	−20.7052	+	21.6020i	−0.886913	+	0.925329i
$546$	−16.2659	+	44.6901i	−0.696114	+	1.91256i
$547$	8.85743	−	18.9948i	0.378717	−	0.812160i	−0.620884	−	0.783902i	$-0.713226\pi$
$547$	8.85743	−	18.9948i	0.378717	−	0.812160i	0.999601	−	0.0282579i	$-0.00899597\pi$
$548$	2.66028	−	30.4071i	0.113641	−	1.29893i
$549$	−6.19569	+	1.09247i	−0.264426	+	0.0466254i
$550$	−29.3339	+	22.4508i	−1.25080	+	0.957304i
$551$	25.1095	+	16.4917i	1.06970	+	0.702571i
$552$	−1.97660	−	1.97660i	−0.0841295	−	0.0841295i
$553$	−7.80917	+	11.1527i	−0.332080	+	0.474259i
$554$	48.1694	−	40.4189i	2.04652	−	1.71724i
$555$	11.7744	+	40.4898i	0.499795	+	1.71870i
$556$	20.5111	+	7.46544i	0.869866	+	0.316605i
$557$	−0.279088	−	3.18999i	−0.0118253	−	0.135164i	0.987987	−	0.154537i	$-0.0493886\pi$
$557$	−0.279088	−	3.18999i	−0.0118253	−	0.135164i	−0.999812	+	0.0193729i	$0.993833\pi$
$558$	−0.0780535	−	0.291300i	−0.00330427	−	0.0123317i
$559$	15.0285	+	26.0302i	0.635639	+	1.10096i
$560$	−3.93286	−	6.49026i	−0.166194	−	0.274263i
$561$	30.5868	+	5.39327i	1.29137	+	0.227704i
$562$	9.30544	−	34.7284i	0.392526	−	1.46493i
$563$	−42.2175	+	11.3121i	−1.77925	+	0.476750i	−0.990447	−	0.137891i	$-0.955967\pi$
$563$	−42.2175	+	11.3121i	−1.77925	+	0.476750i	−0.788807	+	0.614641i	$0.789301\pi$
$564$	−43.6637	−	36.6382i	−1.83857	−	1.54275i
$565$	−23.3543	+	9.06527i	−0.982522	+	0.381379i
$566$	−8.55318	−	23.4997i	−0.359517	−	0.987765i
$567$	−28.9969	−	2.53690i	−1.21776	−	0.106540i
$568$	−9.46325	−	6.62624i	−0.397069	−	0.278031i
$569$	−13.7435			−0.576156			−0.288078	−	0.957607i	$-0.593016\pi$
$569$	−13.7435			−0.576156			−0.288078	+	0.957607i	$0.593016\pi$
$570$	−2.21223	−	43.4043i	−0.0926601	−	1.81801i
$571$	30.4258			1.27328			0.636640	−	0.771161i	$-0.280324\pi$
$571$	30.4258			1.27328			0.636640	+	0.771161i	$0.280324\pi$
$572$	−34.6221	−	24.2427i	−1.44762	−	1.01364i
$573$	0.642254	+	0.0561900i	0.0268306	+	0.00234737i
$574$	−4.82846	−	13.2661i	−0.201536	−	0.553716i
$575$	2.00144	−	0.628315i	0.0834656	−	0.0262025i
$576$	5.76033	+	4.83349i	0.240014	+	0.201396i
$577$	27.4445	−	7.35372i	1.14253	−	0.306140i	0.362561	−	0.931960i	$-0.381902\pi$
$577$	27.4445	−	7.35372i	1.14253	−	0.306140i	0.779967	+	0.625820i	$0.215236\pi$
$578$	−5.96539	+	22.2631i	−0.248127	+	0.926024i
$579$	27.8808	+	4.91614i	1.15869	+	0.204308i
$580$	−12.8316	+	52.2973i	−0.532801	+	2.17153i
$581$	−1.69347	−	2.93318i	−0.0702571	−	0.121689i
$582$	8.60676	+	32.1209i	0.356762	+	1.33145i
$583$	1.03300	+	11.8073i	0.0427826	+	0.489008i
$584$	−41.1016	−	14.9598i	−1.70080	−	0.619039i
$585$	−4.65385	−	2.55695i	−0.192413	−	0.105717i
$586$	20.1881	−	16.9398i	0.833963	−	0.699778i
$587$	−14.1774	+	20.2475i	−0.585165	+	0.835702i	−0.997147	−	0.0754898i	$-0.975948\pi$
$587$	−14.1774	+	20.2475i	−0.585165	+	0.835702i	0.411981	+	0.911192i	$0.364837\pi$
$588$	−3.40244	−	3.40244i	−0.140314	−	0.140314i
$589$	−0.726633	+	0.541682i	−0.0299404	+	0.0223196i
$590$	6.99258	+	7.98352i	0.287880	+	0.328676i
$591$	−13.9950	+	2.46770i	−0.575678	+	0.101508i
$592$	1.05506	−	12.0594i	0.0433627	−	0.495637i
$593$	16.8594	−	36.1551i	0.692332	−	1.48471i	−0.173741	−	0.984791i	$-0.555585\pi$
$593$	16.8594	−	36.1551i	0.692332	−	1.48471i	0.866072	−	0.499919i	$-0.166637\pi$
$594$	11.4459	−	31.4474i	0.469632	−	1.29030i
$595$	−23.2400	−	22.2751i	−0.952746	−	0.913192i
$596$	−9.11245	+	15.7832i	−0.373261	+	0.646506i
$597$	−24.4972	−	6.56400i	−1.00260	−	0.268647i
$598$	2.16471	+	3.09152i	0.0885215	+	0.126422i
$599$	−6.31827	+	35.8327i	−0.258158	+	1.46408i	0.529678	+	0.848199i	$0.322313\pi$
$599$	−6.31827	+	35.8327i	−0.258158	+	1.46408i	−0.787835	+	0.615886i	$0.788798\pi$
$600$	30.7935	−	12.7103i	1.25714	−	0.518894i
$601$	−12.9169	−	7.45756i	−0.526890	−	0.304200i	0.212859	−	0.977083i	$-0.431723\pi$
$601$	−12.9169	−	7.45756i	−0.526890	−	0.304200i	−0.739749	+	0.672883i	$0.765056\pi$
$602$	−50.8264	+	4.44673i	−2.07153	+	0.181235i
$603$	0.427853	+	0.917535i	0.0174235	+	0.0373649i
$604$	67.2362	−	24.4720i	2.73580	−	0.995750i
$605$	1.40806	+	1.92286i	0.0572457	+	0.0781752i
$606$	6.97764	+	39.5721i	0.283447	+	1.60751i
$607$	22.5020	−	22.5020i	0.913328	−	0.913328i	−0.0832045	−	0.996532i	$-0.526515\pi$
$607$	22.5020	−	22.5020i	0.913328	−	0.913328i	0.996532	+	0.0832045i	$0.0265155\pi$
$608$	5.66865	−	17.1438i	0.229894	−	0.695273i
$609$			36.4365i			1.47648i
$610$	−33.3807	+	41.5386i	−1.35155	+	1.68185i
$611$	21.1531	+	25.2093i	0.855764	+	1.01986i
$612$	−10.1508	−	4.73339i	−0.410322	−	0.191336i
$613$	−38.9199	+	18.1486i	−1.57196	+	0.733016i	−0.996403	−	0.0847463i	$-0.972992\pi$
$613$	−38.9199	+	18.1486i	−1.57196	+	0.733016i	−0.575556	+	0.817763i	$0.695214\pi$
$614$	−25.2860	+	30.1347i	−1.02046	+	1.21614i
$615$	9.04231	−	1.79278i	0.364621	−	0.0722920i
$616$	26.5695	−	15.3399i	1.07052	−	0.618063i
$617$	0.998810	−	0.699375i	0.0402106	−	0.0281558i	−0.553298	−	0.832983i	$-0.686631\pi$
$617$	0.998810	−	0.699375i	0.0402106	−	0.0281558i	0.593509	+	0.804827i	$0.297742\pi$
$618$	20.2487	−	14.1783i	0.814522	−	0.570335i
$619$	−3.27678	+	1.89185i	−0.131705	+	0.0760398i	−0.564405	−	0.825498i	$-0.690894\pi$
$619$	−3.27678	+	1.89185i	−0.131705	+	0.0760398i	0.432700	+	0.901538i	$0.357561\pi$
$620$	−1.35023	−	0.903407i	−0.0542264	−	0.0362817i
$621$	−1.22160	+	1.45585i	−0.0490212	+	0.0584212i
$622$	49.9937	−	23.3125i	2.00457	−	0.934745i
$623$	9.01562	+	4.20405i	0.361203	+	0.168432i
$624$	5.73053	+	6.82938i	0.229405	+	0.273394i
$625$	−2.24084	+	24.8994i	−0.0896334	+	0.995975i
$626$			13.0822i			0.522869i
$627$	26.1235	−	0.776858i	1.04327	−	0.0310247i
$628$	28.8149	−	28.8149i	1.14984	−	1.14984i
$629$	−8.91687	−	50.5701i	−0.355539	−	2.01636i
$630$	7.27222	−	5.32526i	0.289732	−	0.212164i
$631$	−3.78252	+	1.37673i	−0.150580	+	0.0548066i	−0.416210	−	0.909268i	$-0.636642\pi$
$631$	−3.78252	+	1.37673i	−0.150580	+	0.0548066i	0.265631	+	0.964075i	$0.414420\pi$
$632$	7.25126	+	15.5504i	0.288440	+	0.618561i
$633$	20.1310	−	1.76123i	0.800136	−	0.0700028i
$634$	−47.5399	−	27.4472i	−1.88805	−	1.09007i
$635$	4.44486	−	13.0674i	0.176389	−	0.518565i
$636$	4.34053	−	24.6164i	0.172113	−	0.976102i
$637$	1.59344	+	2.27567i	0.0631346	+	0.0901655i
$638$	−49.1813	−	13.1781i	−1.94711	−	0.521726i
$639$	1.02050	−	1.76756i	0.0403705	−	0.0699237i
$640$	45.1574	−	0.957243i	1.78500	−	0.0378384i
$641$	6.61703	−	18.1801i	0.261357	−	0.718072i	−0.737720	−	0.675107i	$-0.764097\pi$
$641$	6.61703	−	18.1801i	0.261357	−	0.718072i	0.999077	−	0.0429652i	$-0.0136805\pi$
$642$	16.6899	−	35.7915i	0.658696	−	1.41258i
$643$	0.930507	−	10.6357i	0.0366956	−	0.419433i	−0.955522	−	0.294919i	$-0.904707\pi$
$643$	0.930507	−	10.6357i	0.0366956	−	0.419433i	0.992218	−	0.124514i	$-0.0397371\pi$
$644$	−4.01239	+	0.707492i	−0.158110	+	0.0278791i
$645$	2.19958	−	33.2423i	0.0866083	−	1.30891i
$646$	−3.04352	+	52.8380i	−0.119746	+	2.07888i
$647$	2.55151	+	2.55151i	0.100310	+	0.100310i	0.755481	−	0.655171i	$-0.227403\pi$
$647$	2.55151	+	2.55151i	0.100310	+	0.100310i	−0.655171	+	0.755481i	$0.727403\pi$
$648$	−21.0402	+	30.0486i	−0.826539	+	1.18042i
$649$	−4.88893	+	4.10230i	−0.191907	+	0.161029i
$650$	−43.9235	+	9.68031i	−1.72282	+	0.379693i
$651$	−1.03297	−	0.375972i	−0.0404855	−	0.0147355i
$652$	1.43576	+	16.4108i	0.0562285	+	0.642695i
$653$	5.04447	+	18.8262i	0.197405	+	0.736727i	0.991631	+	0.129104i	$0.0412101\pi$
$653$	5.04447	+	18.8262i	0.197405	+	0.736727i	−0.794226	+	0.607623i	$0.792123\pi$
$654$	29.8343	+	51.6746i	1.16661	+	2.02064i
$655$	−11.5243	−	2.82757i	−0.450290	−	0.110482i
$656$	−2.60622	−	0.459547i	−0.101756	−	0.0179423i
$657$	2.00004	−	7.46424i	0.0780288	−	0.291208i
$658$	−53.9572	+	14.4578i	−2.10347	+	0.563623i
$659$	−11.3356	−	9.51168i	−0.441571	−	0.370522i	0.394726	−	0.918799i	$-0.370840\pi$
$659$	−11.3356	−	9.51168i	−0.441571	−	0.370522i	−0.836297	+	0.548277i	$0.815284\pi$
$660$	16.9520	+	43.6724i	0.659857	+	1.69995i
$661$	−1.66485	−	4.57414i	−0.0647551	−	0.177913i	0.903095	−	0.429441i	$-0.141289\pi$
$661$	−1.66485	−	4.57414i	−0.0647551	−	0.177913i	−0.967850	+	0.251528i	$0.919067\pi$
$662$	−35.8804	−	3.13913i	−1.39453	−	0.122006i
$663$	30.9780	+	21.6910i	1.20309	+	0.842410i
$664$	−4.26835			−0.165644
$665$	−22.9514	−	14.3875i	−0.890019	−	0.557924i
$666$	14.3780			0.557136
$667$	2.36856	+	1.65848i	0.0917110	+	0.0642167i
$668$	−1.11615	−	0.0976503i	−0.0431851	−	0.00377820i
$669$	−17.2128	−	47.2918i	−0.665486	−	1.82841i
$670$	7.84687	+	3.45853i	0.303151	+	0.133615i
$671$	−24.5482	−	20.5984i	−0.947673	−	0.795192i
$672$	21.1546	−	5.66835i	0.816055	−	0.218661i
$673$	4.70920	−	17.5750i	0.181526	−	0.677465i	−0.813821	−	0.581115i	$-0.802616\pi$
$673$	4.70920	−	17.5750i	0.181526	−	0.677465i	0.995348	−	0.0963501i	$-0.0307168\pi$
$674$	4.60276	+	0.811590i	0.177292	+	0.0312613i
$675$	−10.4332	−	20.1030i	−0.401573	−	0.773763i
$676$	−3.01910	−	5.22923i	−0.116119	−	0.201124i
$677$	−5.76257	−	21.5062i	−0.221474	−	0.826551i	−0.983787	−	0.179342i	$-0.942603\pi$
$677$	−5.76257	−	21.5062i	−0.221474	−	0.826551i	0.762313	−	0.647208i	$-0.224064\pi$
$678$	4.35399	+	49.7664i	0.167214	+	1.91127i
$679$	19.4766	+	7.08889i	0.747442	+	0.272047i
$680$	−38.9549	+	11.3280i	−1.49385	+	0.434411i
$681$	−33.0745	+	27.7528i	−1.26742	+	1.06349i
$682$	0.881079	−	1.25831i	0.0337383	−	0.0481832i
$683$	−19.0369	−	19.0369i	−0.728429	−	0.728429i	0.241878	−	0.970307i	$-0.422237\pi$
$683$	−19.0369	−	19.0369i	−0.728429	−	0.728429i	−0.970307	+	0.241878i	$0.922237\pi$
$684$	−9.17202	−	2.16761i	−0.350701	−	0.0828805i
$685$	14.6936	−	12.8698i	0.561412	−	0.491728i
$686$	40.2637	−	7.09957i	1.53727	−	0.271063i
$687$	0.740485	−	8.46379i	0.0282513	−	0.322914i
$688$	−4.04199	+	8.66808i	−0.154100	+	0.330468i
$689$	−4.93588	+	13.5612i	−0.188042	+	0.516641i
$690$	−0.0886539	−	4.18219i	−0.00337500	−	0.159213i
$691$	17.0521	−	29.5351i	0.648693	−	1.12357i	−0.334742	−	0.942310i	$-0.608649\pi$
$691$	17.0521	−	29.5351i	0.648693	−	1.12357i	0.983435	−	0.181260i	$-0.0580174\pi$
$692$	−25.6359	−	6.86912i	−0.974531	−	0.261125i
$693$	3.10895	+	4.44004i	0.118099	+	0.168663i
$694$	−10.6505	+	60.4018i	−0.404286	+	2.29282i
$695$	6.17015	+	12.5315i	0.234047	+	0.475345i
$696$	39.7667	+	22.9593i	1.50735	+	0.870270i
$697$	−11.1832	+	0.978401i	−0.423593	+	0.0370596i
$698$	21.6082	+	46.3389i	0.817882	+	1.75395i
$699$	−32.9019	+	11.9753i	−1.24446	+	0.452948i
$700$	10.5683	−	47.3915i	0.399444	−	1.79123i
$701$	4.51519	+	25.6069i	0.170536	+	0.967160i	0.943171	+	0.332309i	$0.107828\pi$
$701$	4.51519	+	25.6069i	0.170536	+	0.967160i	−0.772634	+	0.634851i	$0.781061\pi$
$702$	28.8132	−	28.8132i	1.08748	−	1.08748i
$703$	−15.9791	−	40.1468i	−0.602663	−	1.51417i
$704$			38.3020i			1.44356i
$705$	−3.94842	−	36.2611i	−0.148706	−	1.36567i
$706$	26.0110	+	30.9987i	0.978936	+	1.16665i
$707$	22.6985	+	10.5845i	0.853665	+	0.398071i
$708$	12.1984	−	5.68819i	0.458443	−	0.213775i
$709$	−26.4386	+	31.5083i	−0.992922	+	1.18332i	−0.00987689	+	0.999951i	$0.503144\pi$
$709$	−26.4386	+	31.5083i	−0.992922	+	1.18332i	−0.983045	+	0.183367i	$0.941300\pi$
$710$	−3.36217	−	16.9579i	−0.126180	−	0.636418i
$711$	−2.62521	+	1.51567i	−0.0984532	+	0.0568420i
$712$	10.2692	−	7.19056i	0.384854	−	0.269478i
$713$	−0.0714581	+	0.0500355i	−0.00267613	+	0.00187384i
$714$	−55.5928	+	32.0965i	−2.08051	+	1.20118i
$715$	−5.26016	−	26.5308i	−0.196719	−	0.992197i
$716$	34.8848	−	41.5741i	1.30371	−	1.55370i
$717$	−23.8364	+	11.1151i	−0.890188	+	0.415101i
$718$	5.79524	+	2.70237i	0.216277	+	0.100851i
$719$	22.6318	+	26.9715i	0.844022	+	1.00587i	0.999837	+	0.0180804i	$0.00575547\pi$
$719$	22.6318	+	26.9715i	0.844022	+	1.00587i	−0.155814	+	0.987786i	$0.549800\pi$
$720$	−0.182903	−	1.67972i	−0.00681637	−	0.0625996i
$721$		−	15.4069i		−	0.573784i
$722$	6.51104	+	44.0570i	0.242316	+	1.63963i
$723$	2.98585	−	2.98585i	0.111045	−	0.111045i
$724$	6.22787	+	35.3200i	0.231457	+	1.31266i
$725$	−29.0858	+	18.4789i	−1.08022	+	0.686288i
$726$	4.46591	−	1.62546i	0.165745	−	0.0603264i
$727$	2.34262	+	5.02377i	0.0868831	+	0.186321i	0.944949	−	0.327219i	$-0.106111\pi$
$727$	2.34262	+	5.02377i	0.0868831	+	0.186321i	−0.858065	+	0.513540i	$0.828334\pi$
$728$	37.2138	−	3.25579i	1.37924	−	0.120668i
$729$	16.7754	+	9.68526i	0.621310	+	0.358713i
$730$	−28.9134	−	58.7226i	−1.07013	−	2.17342i
$731$	−7.04497	+	39.9540i	−0.260568	+	1.47775i
$732$	38.7636	+	55.3601i	1.43274	+	2.04617i
$733$	26.9637	+	7.22490i	0.995927	+	0.266858i	0.719738	−	0.694246i	$-0.244262\pi$
$733$	26.9637	+	7.22490i	0.995927	+	0.266858i	0.276189	+	0.961103i	$0.410928\pi$
$734$	19.3024	−	33.4327i	0.712463	−	1.23402i
$735$	−0.0652582	−	3.07852i	−0.00240709	−	0.113553i
$736$	0.594422	−	1.63316i	0.0219107	−	0.0601991i
$737$	−2.17933	+	4.67358i	−0.0802766	+	0.172154i
$738$	0.273951	−	3.13128i	0.0100843	−	0.115264i
$739$	40.2963	−	7.10532i	1.48232	−	0.261373i	0.626816	−	0.779167i	$-0.284358\pi$
$739$	40.2963	−	7.10532i	1.48232	−	0.261373i	0.855506	+	0.517794i	$0.173247\pi$
$740$	58.2646	−	51.0326i	2.14185	−	1.87600i
$741$	29.2278	+	12.5854i	1.07371	+	0.462337i
$742$	−17.3219	−	17.3219i	−0.635908	−	0.635908i
$743$	−6.17922	+	8.82484i	−0.226694	+	0.323752i	−0.916345	−	0.400389i	$-0.868875\pi$
$743$	−6.17922	+	8.82484i	−0.226694	+	0.323752i	0.689651	+	0.724141i	$0.257764\pi$
$744$	−1.06123	+	0.890477i	−0.0389066	+	0.0326465i
$745$	−11.1988	+	3.25660i	−0.410293	+	0.119313i
$746$	9.69732	+	3.52954i	0.355044	+	0.129225i
$747$	−0.0657241	−	0.751230i	−0.00240472	−	0.0274861i
$748$	−14.7655	−	55.1056i	−0.539880	−	2.01486i
$749$	−12.3072	−	21.3166i	−0.449694	−	0.778893i
$750$	46.4294	+	18.1552i	1.69536	+	0.662934i
$751$	17.7962	+	3.13795i	0.649392	+	0.114505i	0.488634	−	0.872489i	$-0.337495\pi$
$751$	17.7962	+	3.13795i	0.649392	+	0.114505i	0.160757	+	0.986994i	$0.448606\pi$
$752$	−2.71022	+	10.1147i	−0.0988315	+	0.368844i
$753$	42.0688	−	11.2723i	1.53307	−	0.410786i
$754$	−47.4917	−	39.8502i	−1.72954	−	1.45126i
$755$	41.8988	+	18.4670i	1.52485	+	0.672083i
$756$	15.0453	+	41.3366i	0.547192	+	1.50340i
$757$	−47.3274	−	4.14061i	−1.72014	−	0.150493i	−0.816093	−	0.577920i	$-0.803865\pi$
$757$	−47.3274	−	4.14061i	−1.72014	−	0.150493i	−0.904050	+	0.427427i	$0.859420\pi$
$758$	−12.8980	−	9.03128i	−0.468476	−	0.328031i
$759$	2.51553			0.0913079
$760$	−30.1646	+	15.9833i	−1.09418	+	0.579774i
$761$	−45.4640			−1.64807			−0.824034	−	0.566540i	$-0.808282\pi$
$761$	−45.4640			−1.64807			−0.824034	+	0.566540i	$0.808282\pi$
$762$	−22.5464	−	15.7872i	−0.816772	−	0.571910i
$763$	37.0488	+	3.24135i	1.34126	+	0.117345i
$764$	−0.405027	−	1.11280i	−0.0146534	−	0.0402598i
$765$	−2.59357	−	6.68164i	−0.0937705	−	0.241575i
$766$	−45.4570	−	38.1429i	−1.64243	−	1.37816i
$767$	−7.50603	+	2.01124i	−0.271027	+	0.0726215i
$768$	11.3452	−	42.3409i	0.409385	−	1.52785i
$769$	−2.43552	−	0.429448i	−0.0878271	−	0.0154863i	0.129562	−	0.991571i	$-0.458643\pi$
$769$	−2.43552	−	0.429448i	−0.0878271	−	0.0154863i	−0.217389	+	0.976085i	$0.569754\pi$
$770$	44.5890	+	10.9403i	1.60688	+	0.394260i
$771$	−16.2966	−	28.2265i	−0.586906	−	1.01655i
$772$	−13.4592	−	50.2305i	−0.484408	−	1.80783i
$773$	2.64332	+	30.2133i	0.0950737	+	1.08670i	0.882508	+	0.470298i	$0.155854\pi$
$773$	2.64332	+	30.2133i	0.0950737	+	1.08670i	−0.787434	+	0.616399i	$0.788591\pi$
$774$	−10.6746	−	3.88523i	−0.383690	−	0.139652i
$775$	−0.223752	−	1.01526i	−0.00803742	−	0.0364691i
$776$	20.0093	−	16.7898i	0.718293	−	0.602719i
$777$	30.0606	−	42.9310i	1.07842	−	1.54014i
$778$	17.7906	+	17.7906i	0.637825	+	0.637825i
$779$	−9.04774	+	2.71503i	−0.324169	+	0.0972760i
$780$	−3.76608	+	56.9169i	−0.134847	+	2.03795i
$781$	10.2382	−	1.80527i	0.366351	−	0.0645976i
$782$	−0.443983	+	5.07475i	−0.0158768	+	0.181473i
$783$	13.1937	−	28.2940i	0.471504	−	1.01114i
$784$	−0.302342	+	0.830678i	−0.0107979	+	0.0296671i
$785$	26.0716	−	0.552665i	0.930536	−	0.0197255i
$786$	−11.8311	+	20.4921i	−0.422003	+	0.730930i
$787$	−16.4036	−	4.39533i	−0.584725	−	0.156677i	−0.0456838	−	0.998956i	$-0.514547\pi$
$787$	−16.4036	−	4.39533i	−0.584725	−	0.156677i	−0.539041	+	0.842279i	$0.681213\pi$
$788$	14.9721	+	21.3824i	0.533359	+	0.761716i
$789$	−1.80006	+	10.2086i	−0.0640837	+	0.363437i
$790$	−8.26852	+	24.3086i	−0.294181	+	0.864861i
$791$	26.9653	+	15.5684i	0.958777	+	0.553550i
$792$	6.80484	−	0.595346i	0.241799	−	0.0211547i
$793$	−16.4900	−	35.3629i	−0.585577	−	1.25577i
$794$	3.10774	−	1.13113i	0.110290	−	0.0401421i
$795$	12.9056	−	9.45045i	0.457715	−	0.335173i
$796$	8.08933	+	45.8769i	0.286719	+	1.62606i
$797$	−24.9487	+	24.9487i	−0.883730	+	0.883730i	−0.993911	−	0.110182i	$-0.964857\pi$
$797$	−24.9487	+	24.9487i	−0.883730	+	0.883730i	0.110182	+	0.993911i	$0.464857\pi$
$798$	−40.3290	+	35.9360i	−1.42763	+	1.27212i
$799$			44.4191i			1.57143i
$800$	15.2534	+	14.0121i	0.539288	+	0.495402i
$801$	1.42366	+	1.69666i	0.0503027	+	0.0599484i
$802$	−33.1444	−	15.4555i	−1.17037	−	0.545753i
$803$	35.6734	−	16.6348i	1.25889	−	0.587029i
$804$	6.99050	−	8.33095i	0.246536	−	0.293810i
$805$	−2.16696	−	1.44987i	−0.0763753	−	0.0511011i
$806$	1.61980	−	0.935191i	0.0570550	−	0.0329407i
$807$	11.4201	−	7.99644i	0.402006	−	0.281488i
$808$	25.8546	−	18.1036i	0.909561	−	0.636882i
$809$	36.4322	−	21.0341i	1.28089	−	0.739521i	0.303877	−	0.952711i	$-0.401719\pi$
$809$	36.4322	−	21.0341i	1.28089	−	0.739521i	0.977011	+	0.213190i	$0.0683854\pi$
$810$	−53.8463	+	10.6759i	−1.89197	+	0.375113i
$811$	−15.4261	+	18.3841i	−0.541682	+	0.645551i	−0.965564	−	0.260166i	$-0.916223\pi$
$811$	−15.4261	+	18.3841i	−0.541682	+	0.645551i	0.423882	+	0.905717i	$0.360667\pi$
$812$	60.6572	−	28.2849i	2.12865	−	0.992606i
$813$	−52.0825	−	24.2865i	−1.82661	−	0.851764i
$814$	47.0753	+	56.1022i	1.64999	+	1.96638i
$815$	−6.60353	+	8.21735i	−0.231312	+	0.287841i
$816$			12.0335i			0.421255i
$817$	1.01477	+	34.1239i	0.0355024	+	1.19384i
$818$	−62.5694	+	62.5694i	−2.18769	+	2.18769i
$819$	1.14604	+	6.49951i	0.0400458	+	0.227111i
$820$	−10.0039	−	13.6614i	−0.349350	−	0.477076i
$821$	−27.5761	+	10.0369i	−0.962411	+	0.350289i	−0.774978	−	0.631988i	$-0.782239\pi$
$821$	−27.5761	+	10.0369i	−0.962411	+	0.350289i	−0.187433	+	0.982277i	$0.560017\pi$
$822$	−16.4612	−	35.3013i	−0.574152	−	1.23127i
$823$	25.1038	−	2.19630i	0.875064	−	0.0765582i	0.359233	−	0.933248i	$-0.383038\pi$
$823$	25.1038	−	2.19630i	0.875064	−	0.0765582i	0.515832	+	0.856690i	$0.327483\pi$
$824$	−16.8151	−	9.70818i	−0.585780	−	0.338200i
$825$	−11.5069	+	27.6827i	−0.400619	+	0.963787i
$826$	2.29053	−	12.9902i	0.0796976	−	0.451988i
$827$	−21.6931	−	30.9809i	−0.754342	−	1.07731i	−0.994309	−	0.106532i	$-0.966025\pi$
$827$	−21.6931	−	30.9809i	−0.754342	−	1.07731i	0.239967	−	0.970781i	$-0.422863\pi$
$828$	−0.876224	−	0.234784i	−0.0304509	−	0.00815929i
$829$	−2.51575	+	4.35740i	−0.0873755	+	0.151339i	−0.906401	−	0.422418i	$-0.861181\pi$
$829$	−2.51575	+	4.35740i	−0.0873755	+	0.151339i	0.819025	+	0.573757i	$0.194515\pi$
$830$	−4.61133	−	4.41988i	−0.160062	−	0.153416i
$831$	17.4541	−	47.9547i	0.605476	−	1.66353i
$832$	−19.7095	+	42.2672i	−0.683305	+	1.46535i
$833$	−0.326817	+	3.73553i	−0.0113235	+	0.129428i
$834$	27.4308	−	4.83679i	0.949851	−	0.167484i
$835$	−0.472407	−	0.539354i	−0.0163483	−	0.0186651i
$836$	−21.5724	−	42.8857i	−0.746098	−	1.48323i
$837$	0.665993	+	0.665993i	0.0230201	+	0.0230201i
$838$	−7.49854	+	10.7090i	−0.259033	+	0.369937i
$839$	−2.80005	+	2.34952i	−0.0966686	+	0.0811146i	−0.689841	−	0.723961i	$-0.742320\pi$
$839$	−2.80005	+	2.34952i	−0.0966686	+	0.0811146i	0.593173	+	0.805075i	$0.297875\pi$
$840$	−36.2886	−	19.9380i	−1.25207	−	0.687925i
$841$	−17.3824	−	6.32669i	−0.599394	−	0.218162i
$842$	−5.96400	−	68.1688i	−0.205533	−	2.34925i
$843$	−7.55205	−	28.1846i	−0.260107	−	0.970731i
$844$	−18.5593	−	32.1456i	−0.638836	−	1.10650i
$845$	0.920761	−	3.75273i	0.0316752	−	0.129098i
$846$	−12.2483	−	2.15971i	−0.421107	−	0.0742525i
$847$	0.766661	−	2.86122i	0.0263428	−	0.0983127i
$848$	−4.43565	+	1.18853i	−0.152321	+	0.0408143i
$849$	−15.5474	−	13.0458i	−0.533585	−	0.447731i
$850$	−53.8153	−	28.0996i	−1.84585	−	0.963808i
$851$	−1.42246	−	3.90818i	−0.0487614	−	0.133971i
$852$	−21.8415	−	1.91088i	−0.748278	−	0.0654658i
$853$	−41.7032	−	29.2009i	−1.42789	−	0.999820i	−0.995157	−	0.0982982i	$-0.968660\pi$
$853$	−41.7032	−	29.2009i	−1.42789	−	0.999820i	−0.432734	−	0.901522i	$-0.642451\pi$
$854$	66.2325			2.26643
$855$	−3.27753	−	5.06286i	−0.112089	−	0.173146i
$856$	−31.0198			−1.06024
$857$	13.4246	+	9.40002i	0.458576	+	0.321099i	0.779937	−	0.625858i	$-0.215251\pi$
$857$	13.4246	+	9.40002i	0.458576	+	0.321099i	−0.321360	+	0.946957i	$0.604140\pi$
$858$	−53.7300	−	4.70077i	−1.83431	−	0.160482i
$859$	−6.29056	−	17.2832i	−0.214631	−	0.589694i	0.784922	−	0.619595i	$-0.212703\pi$
$859$	−6.29056	−	17.2832i	−0.214631	−	0.589694i	−0.999553	+	0.0299006i	$0.990481\pi$
$860$	−57.0472	+	22.1436i	−1.94529	+	0.755091i
$861$	−8.77686	−	7.36466i	−0.299114	−	0.250987i
$862$	−56.5268	+	15.1463i	−1.92531	+	0.515885i
$863$	4.78239	−	17.8481i	0.162795	−	0.607558i	−0.835517	−	0.549465i	$-0.814831\pi$
$863$	4.78239	−	17.8481i	0.162795	−	0.607558i	0.998311	−	0.0580925i	$-0.0185018\pi$
$864$	−18.4796	−	3.25845i	−0.628689	−	0.110855i
$865$	−8.80179	−	14.5253i	−0.299270	−	0.493874i
$866$	23.9442	+	41.4725i	0.813656	+	1.40929i
$867$	4.84135	+	18.0682i	0.164421	+	0.613627i
$868$	0.175983	+	2.01149i	0.00597324	+	0.0682744i
$869$	−14.5093	−	5.28096i	−0.492195	−	0.179144i
$870$	19.1877	+	65.9826i	0.650523	+	2.23702i
$871$	−4.80989	+	4.03598i	−0.162977	+	0.136754i
$872$	26.8827	−	38.3925i	0.910363	−	1.30013i
$873$	3.26311	+	3.26311i	0.110440	+	0.110440i
$874$	0.500369	+	4.25729i	0.0169252	+	0.144005i
$875$	25.8678	−	17.2146i	0.874492	−	0.581960i
$876$	−81.7499	+	14.4147i	−2.76207	+	0.487028i
$877$	2.06814	−	23.6389i	0.0698361	−	0.798230i	−0.877831	−	0.478970i	$-0.841010\pi$
$877$	2.06814	−	23.6389i	0.0698361	−	0.798230i	0.947667	−	0.319260i	$-0.103434\pi$
$878$	−13.8676	+	29.7392i	−0.468010	+	1.00365i
$879$	7.31512	−	20.0981i	0.246733	−	0.677893i
$880$	5.95534	−	6.21329i	0.200755	−	0.209450i
$881$	−10.5557	+	18.2830i	−0.355630	+	0.615969i	−0.987226	−	0.159329i	$-0.949067\pi$
$881$	−10.5557	+	18.2830i	−0.355630	+	0.615969i	0.631595	+	0.775298i	$0.282400\pi$
$882$	−1.01416	−	0.271745i	−0.0341487	−	0.00915011i
$883$	20.8507	+	29.7779i	0.701682	+	1.00211i	0.998881	+	0.0472899i	$0.0150585\pi$
$883$	20.8507	+	29.7779i	0.701682	+	1.00211i	−0.297200	+	0.954815i	$0.596053\pi$
$884$	12.0623	−	68.4085i	0.405698	−	2.30083i
$885$	8.15429	+	2.77367i	0.274104	+	0.0932358i
$886$	47.2895	+	27.3026i	1.58872	+	0.917250i
$887$	43.1305	−	3.77343i	1.44818	−	0.126699i	0.664232	−	0.747527i	$-0.268759\pi$
$887$	43.1305	−	3.77343i	1.44818	−	0.126699i	0.783947	+	0.620827i	$0.213203\pi$
$888$	−27.9130	−	59.8596i	−0.936698	−	2.00876i
$889$	−16.1207	+	5.86744i	−0.540670	+	0.196788i
$890$	18.5402	+	2.86541i	0.621469	+	0.0960488i
$891$	−5.73226	−	32.5093i	−0.192038	−	1.08910i
$892$	−65.3664	+	65.3664i	−2.18863	+	2.18863i
$893$	7.58184	+	36.6005i	0.253717	+	1.22479i
$894$			23.2567i			0.777822i
$895$	34.5258	−	3.75946i	1.15407	−	0.125665i
$896$	−36.0850	−	43.0044i	−1.20552	−	1.43668i
$897$	2.77595	+	1.29445i	0.0926863	+	0.0432203i
$898$	−29.7904	+	13.8915i	−0.994118	+	0.463565i
$899$	0.921106	−	1.09773i	0.0307206	−	0.0366114i
$900$	6.59188	−	8.56862i	0.219729	−	0.285621i
$901$	−16.8696	+	9.73969i	−0.562009	+	0.324476i
$902$	13.1150	−	9.18324i	0.436683	−	0.305769i
$903$	−33.9186	+	23.7500i	−1.12874	+	0.790352i
$904$	33.9827	−	19.6199i	1.13025	−	0.652548i
$905$	−12.7628	+	19.0752i	−0.424250	+	0.634081i
$906$	58.6906	−	69.9447i	1.94986	−	2.32376i
$907$	−11.4405	+	5.33479i	−0.379875	+	0.177139i	−0.603171	−	0.797612i	$-0.706096\pi$
$907$	−11.4405	+	5.33479i	−0.379875	+	0.177139i	0.223295	+	0.974751i	$0.428319\pi$
$908$	71.8762	+	33.5164i	2.38530	+	1.11228i
$909$	3.58434	+	4.27165i	0.118885	+	0.141682i
$910$	43.5755	+	35.0176i	1.44451	+	1.16082i
$911$		−	14.5784i		−	0.483003i	−0.970400	−	0.241502i	$-0.922360\pi$
$911$		−	14.5784i		−	0.483003i	0.970400	−	0.241502i	$-0.0776399\pi$
$912$	2.05398	+	9.91535i	0.0680139	+	0.328330i
$913$	2.71607	−	2.71607i	0.0898888	−	0.0898888i
$914$	1.10628	+	6.27401i	0.0365924	+	0.207526i
$915$	−6.60562	+	42.7406i	−0.218375	+	1.41296i
$916$	−14.6648	+	5.33755i	−0.484538	+	0.176358i
$917$	6.23287	+	13.3664i	0.205828	+	0.441399i
$918$	54.7915	−	4.79363i	1.80839	−	0.158213i
$919$	−33.2115	−	19.1746i	−1.09554	−	0.632513i	−0.160497	−	0.987036i	$-0.551310\pi$
$919$	−33.2115	−	19.1746i	−1.09554	−	0.632513i	−0.935047	+	0.354523i	$0.884643\pi$
$920$	−2.94782	+	1.45142i	−0.0971867	+	0.0478520i
$921$	−5.54384	+	31.4407i	−0.182676	+	1.03601i
$922$	47.4985	+	67.8348i	1.56428	+	2.23402i
$923$	12.2271	+	3.27623i	0.402459	+	0.107839i
$924$	29.1129	−	50.4251i	0.957745	−	1.65886i
$925$	49.5153	+	2.22359i	1.62805	+	0.0731111i
$926$	4.08871	−	11.2336i	0.134363	−	0.369161i
$927$	1.44972	−	3.10894i	0.0476151	−	0.102111i
$928$	−2.48825	+	28.4409i	−0.0816809	+	0.933617i
$929$	−41.0625	+	7.24042i	−1.34722	+	0.237550i	−0.800281	−	0.599625i	$-0.795316\pi$
$929$	−41.0625	+	7.24042i	−1.34722	+	0.237550i	−0.546934	+	0.837175i	$0.684205\pi$
$930$	−2.06859	−	0.136875i	−0.0678319	−	0.00448830i
$931$	0.368322	+	3.13380i	0.0120713	+	0.102706i
$932$	45.4768	+	45.4768i	1.48964	+	1.48964i
$933$	25.6779	−	36.6718i	0.840656	−	1.20058i
$934$	48.5571	−	40.7442i	1.58884	−	1.33319i
$935$	17.5798	−	31.9965i	0.574919	−	1.04640i
$936$	7.81567	+	2.84467i	0.255463	+	0.0929810i
$937$	−1.27657	−	14.5913i	−0.0417037	−	0.476676i	−0.988116	−	0.153713i	$-0.950877\pi$
$937$	−1.27657	−	14.5913i	−0.0417037	−	0.476676i	0.946412	−	0.322962i	$-0.104679\pi$
$938$	−2.75852	−	10.2949i	−0.0900689	−	0.336142i
$939$	5.30858	+	9.19473i	0.173239	+	0.300059i
$940$	−57.3001	+	34.7218i	−1.86892	+	1.13250i
$941$	53.1484	+	9.37150i	1.73259	+	0.305502i	0.948883	−	0.315629i	$-0.102215\pi$
$941$	53.1484	+	9.37150i	1.73259	+	0.305502i	0.783707	+	0.621131i	$0.213326\pi$
$942$	13.4590	−	50.2295i	0.438517	−	1.63657i
$943$	−0.878237	+	0.235323i	−0.0285993	+	0.00766317i
$944$	−1.89418	−	1.58941i	−0.0616504	−	0.0517308i
$945$	−11.3535	+	25.7593i	−0.369328	+	0.837949i
$946$	−19.7899	−	54.3724i	−0.643426	−	1.76780i
$947$	55.3009	+	4.83820i	1.79704	+	0.157220i	0.936156	−	0.351585i	$-0.114357\pi$
$947$	55.3009	+	4.83820i	1.79704	+	0.157220i	0.860882	+	0.508805i	$0.169913\pi$
$948$	26.6743	+	18.6775i	0.866340	+	0.606618i
$949$	47.9265			1.55576
$950$	−49.1391	−	13.9679i	−1.59428	−	0.453178i
$951$	−44.5508			−1.44466
$952$	41.3035	+	28.9211i	1.33866	+	0.937337i
$953$	27.1801	+	2.37795i	0.880451	+	0.0770295i	0.518410	−	0.855132i	$-0.326524\pi$
$953$	27.1801	+	2.37795i	0.880451	+	0.0770295i	0.362042	+	0.932162i	$0.382080\pi$
$954$	−1.86545	−	5.12528i	−0.0603961	−	0.165937i
$955$	0.305641	−	0.693452i	0.00989031	−	0.0224396i
$956$	37.0075	+	31.0529i	1.19691	+	1.00432i
$957$	−39.9143	+	10.6950i	−1.29025	+	0.345720i
$958$	7.74516	−	28.9053i	0.250235	−	0.933888i
$959$	−23.9083	−	4.21569i	−0.772041	−	0.136132i
$960$	44.2086	−	26.7888i	1.42683	−	0.864606i
$961$	−15.4784	−	26.8093i	−0.499303	−	0.864818i
$962$	23.0796	+	86.1344i	0.744118	+	2.77708i
$963$	−0.477644	−	5.45950i	−0.0153919	−	0.175930i
$964$	−7.28850	−	2.65280i	−0.234747	−	0.0854409i
$965$	16.0245	−	29.1658i	0.515847	−	0.938880i
$966$	−3.98280	+	3.34197i	−0.128145	+	0.107526i
$967$	10.3774	−	14.8205i	0.333716	−	0.476596i	−0.616866	−	0.787068i	$-0.711598\pi$
$967$	10.3774	−	14.8205i	0.333716	−	0.476596i	0.950583	+	0.310472i	$0.100487\pi$
$968$	−2.63963	−	2.63963i	−0.0848411	−	0.0848411i
$969$	19.3018	+	38.3718i	0.620064	+	1.23268i
$970$	39.0030	+	2.58075i	1.25231	+	0.0828630i
$971$	−1.40453	+	0.247657i	−0.0450736	+	0.00794770i	−0.196140	−	0.980576i	$-0.562841\pi$
$971$	−1.40453	+	0.247657i	−0.0450736	+	0.00794770i	0.151066	+	0.988524i	$0.451729\pi$
$972$	−1.92907	+	22.0493i	−0.0618748	+	0.707232i
$973$	7.33701	−	15.7343i	0.235214	−	0.504417i
$974$	16.7278	−	45.9592i	0.535992	−	1.47263i
$975$	−26.9432	+	24.6273i	−0.862873	+	0.788705i
$976$	6.20789	−	10.7524i	0.198710	−	0.344175i
$977$	34.5261	+	9.25123i	1.10459	+	0.295973i	0.764631	−	0.644468i	$-0.222921\pi$
$977$	34.5261	+	9.25123i	1.10459	+	0.295973i	0.339956	+	0.940441i	$0.389588\pi$
$978$	12.0576	+	17.2200i	0.385558	+	0.550634i
$979$	−1.95902	+	11.1101i	−0.0626104	+	0.355081i
$980$	−5.07426	+	2.49843i	−0.162091	+	0.0798093i
$981$	7.17102	+	4.14019i	0.228953	+	0.132186i
$982$	42.5145	−	3.71954i	1.35669	−	0.118695i
$983$	20.4235	+	43.7984i	0.651410	+	1.39695i	0.903221	+	0.429176i	$0.141196\pi$
$983$	20.4235	+	43.7984i	0.651410	+	1.39695i	−0.251811	+	0.967776i	$0.581026\pi$
$984$	−13.5682	+	4.93842i	−0.432539	+	0.157431i
$985$	−2.55137	+	16.5082i	−0.0812933	+	0.525995i
$986$	−14.5310	−	82.4095i	−0.462762	−	2.62445i
$987$	−32.0567	+	32.0567i	−1.02038	+	1.02038i
$988$	−1.73747	−	58.4263i	−0.0552764	−	1.85879i
$989$			3.28591i			0.104486i
$990$	7.96812	+	6.40324i	0.253243	+	0.203508i
$991$	−19.0947	−	22.7562i	−0.606564	−	0.722875i	0.372134	−	0.928179i	$-0.378626\pi$
$991$	−19.0947	−	22.7562i	−0.606564	−	0.722875i	−0.978698	+	0.205304i	$0.934182\pi$
$992$	−0.780622	−	0.364010i	−0.0247848	−	0.0115573i
$993$	−26.4921	+	12.3535i	−0.840702	+	0.392026i
$994$	−13.8116	+	16.4601i	−0.438078	+	0.522081i
$995$	−16.5775	+	24.7766i	−0.525542	+	0.785472i
$996$	−7.01541	+	4.05035i	−0.222292	+	0.128340i
$997$	−9.94939	+	6.96664i	−0.315100	+	0.220636i	−0.720418	−	0.693540i	$-0.756050\pi$
$997$	−9.94939	+	6.96664i	−0.315100	+	0.220636i	0.405317	+	0.914176i	$0.367161\pi$
$998$	−57.1950	+	40.0484i	−1.81048	+	1.26771i
$999$	−38.8882	+	22.4521i	−1.23037	+	0.710353i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.r.a.67.1	yes	96
3.2	odd	2		855.2.dl.a.352.8		96
5.2	odd	4		475.2.bb.b.143.8		96
5.3	odd	4	inner	95.2.r.a.48.1	yes	96
5.4	even	2		475.2.bb.b.257.8		96
15.8	even	4		855.2.dl.a.523.8		96
19.2	odd	18	inner	95.2.r.a.2.1	✓	96
57.2	even	18		855.2.dl.a.667.8		96
95.2	even	36		475.2.bb.b.268.8		96
95.59	odd	18		475.2.bb.b.382.8		96
95.78	even	36	inner	95.2.r.a.78.1	yes	96
285.173	odd	36		855.2.dl.a.838.8		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.r.a.2.1	✓	96	19.2	odd	18	inner
95.2.r.a.48.1	yes	96	5.3	odd	4	inner
95.2.r.a.67.1	yes	96	1.1	even	1	trivial
95.2.r.a.78.1	yes	96	95.78	even	36	inner
475.2.bb.b.143.8		96	5.2	odd	4
475.2.bb.b.257.8		96	5.4	even	2
475.2.bb.b.268.8		96	95.2	even	36
475.2.bb.b.382.8		96	95.59	odd	18
855.2.dl.a.352.8		96	3.2	odd	2
855.2.dl.a.523.8		96	15.8	even	4
855.2.dl.a.667.8		96	57.2	even	18
855.2.dl.a.838.8		96	285.173	odd	36

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.r (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.92007 - 1.34445i) q^{2} +(-1.89507 - 0.165797i) q^{3} +(1.19510 + 3.28350i) q^{4} +(-0.901842 + 2.04614i) q^{5} +(3.41577 + 2.86617i) q^{6} +(2.68449 - 0.719307i) q^{7} +(0.906496 - 3.38309i) q^{8} +(0.609382 + 0.107451i) q^{9} +(4.48253 - 2.71625i) q^{10} +(1.57593 + 2.72958i) q^{11} +(-1.72040 - 6.42061i) q^{12} +(0.334479 + 3.82311i) q^{13} +(-6.12149 - 2.22804i) q^{14} +(2.04830 - 3.72805i) q^{15} +(-0.935465 + 0.784949i) q^{16} +(-2.97116 + 4.24326i) q^{17} +(-1.02560 - 1.02560i) q^{18} +(-1.72391 + 4.00352i) q^{19} +(-7.79628 - 0.515864i) q^{20} +(-5.20656 + 0.918057i) q^{21} +(0.643895 - 7.35975i) q^{22} +(-0.177309 + 0.380240i) q^{23} +(-2.27878 + 6.26090i) q^{24} +(-3.37336 - 3.69058i) q^{25} +(4.49776 - 7.79034i) q^{26} +(4.37546 + 1.17240i) q^{27} +(5.57007 + 7.95488i) q^{28} +(1.19676 - 6.78718i) q^{29} +(-8.94506 + 4.40430i) q^{30} +(0.180067 + 0.103962i) q^{31} +(-4.12672 + 0.361041i) q^{32} +(-2.53393 - 5.43404i) q^{33} +(11.4097 - 4.15279i) q^{34} +(-0.949183 + 6.14154i) q^{35} +(0.375456 + 2.12932i) q^{36} +(-7.00958 + 7.00958i) q^{37} +(8.69256 - 5.36933i) q^{38} -7.30052i q^{39} +(6.10475 + 4.90583i) q^{40} +(1.39301 + 1.66012i) q^{41} +(11.2313 + 5.23722i) q^{42} +(7.09822 - 3.30995i) q^{43} +(-7.07920 + 8.43666i) q^{44} +(-0.769425 + 1.14998i) q^{45} +(0.851660 - 0.491706i) q^{46} +(7.02423 - 4.91842i) q^{47} +(1.90292 - 1.33244i) q^{48} +(0.626908 - 0.361945i) q^{49} +(1.51530 + 11.6215i) q^{50} +(6.33409 - 7.54867i) q^{51} +(-12.1534 + 5.66724i) q^{52} +(3.40813 + 1.58924i) q^{53} +(-6.82497 - 8.13369i) q^{54} +(-7.00634 + 0.762910i) q^{55} -9.73392i q^{56} +(3.93070 - 7.30113i) q^{57} +(-11.4229 + 11.4229i) q^{58} +(0.351612 + 1.99409i) q^{59} +(14.6890 + 2.27020i) q^{60} +(-9.55401 + 3.47738i) q^{61} +(-0.205971 - 0.441706i) q^{62} +(1.71317 - 0.149883i) q^{63} +(10.5241 + 6.07611i) q^{64} +(-8.12426 - 2.76345i) q^{65} +(-2.44045 + 13.8405i) q^{66} +(0.938425 + 1.34021i) q^{67} +(-17.4836 - 4.68471i) q^{68} +(0.399056 - 0.691185i) q^{69} +(10.0795 - 10.5161i) q^{70} +(1.12813 - 3.09950i) q^{71} +(0.915917 - 1.96419i) q^{72} +(1.08843 - 12.4408i) q^{73} +(22.8829 - 4.03488i) q^{74} +(5.78087 + 7.55322i) q^{75} +(-15.2058 - 0.875867i) q^{76} +(6.19397 + 6.19397i) q^{77} +(-9.81518 + 14.0175i) q^{78} +(-3.75275 + 3.14893i) q^{79} +(-0.762472 - 2.62199i) q^{80} +(-9.84183 - 3.58213i) q^{81} +(-0.442726 - 5.06038i) q^{82} +(-0.315418 - 1.17716i) q^{83} +(-9.23677 - 15.9986i) q^{84} +(-6.00278 - 9.90616i) q^{85} +(-18.0792 - 3.18784i) q^{86} +(-3.39324 + 12.6638i) q^{87} +(10.6630 - 2.85714i) q^{88} +(2.74193 + 2.30075i) q^{89} +(3.02344 - 1.17359i) q^{90} +(3.64790 + 10.0225i) q^{91} +(-1.46042 - 0.127770i) q^{92} +(-0.324004 - 0.226870i) q^{93} -20.0996 q^{94} +(-6.63705 - 7.13789i) q^{95} +7.88029 q^{96} +(6.10904 + 4.27760i) q^{97} +(-1.69033 - 0.147884i) q^{98} +(0.667046 + 1.83269i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26}+ \cdots - 90 q^{98}+O(q^{100}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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