LMFDB - Embedded newform 152.2.t.a.101.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [152,2,Mod(5,152)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(152, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([0, 9, 16])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("152.5"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 152 = 2^{3} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	152.t (of order $18$, degree $6$, 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:	$1.21372611072$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$18$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			101.1
Character	$\chi$	$=$	152.101
Dual form			152.2.t.a.149.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.35779 + 0.395491i) q^{2} +(0.178255 - 0.489751i) q^{3} +(1.68717 - 1.07399i) q^{4} +(-3.55335 + 0.626551i) q^{5} +(-0.0483399 + 0.735476i) q^{6} +(-1.81103 + 3.13680i) q^{7} +(-1.86607 + 2.12551i) q^{8} +(2.09005 + 1.75376i) q^{9} +(4.57690 - 2.25604i) q^{10} +(0.380026 - 0.219408i) q^{11} +(-0.225239 - 1.01774i) q^{12} +(1.07650 + 2.95765i) q^{13} +(1.21842 - 4.97535i) q^{14} +(-0.326547 + 1.85194i) q^{15} +(1.69311 - 3.62400i) q^{16} +(-5.14502 + 4.31719i) q^{17} +(-3.53144 - 1.55464i) q^{18} +(-4.34549 - 0.341661i) q^{19} +(-5.32221 + 4.87335i) q^{20} +(1.21343 + 1.44610i) q^{21} +(-0.429220 + 0.448206i) q^{22} +(0.958164 - 5.43402i) q^{23} +(0.708333 + 1.29279i) q^{24} +(7.53526 - 2.74261i) q^{25} +(-2.63138 - 3.59011i) q^{26} +(2.58554 - 1.49276i) q^{27} +(0.313353 + 7.23735i) q^{28} +(-1.67059 + 1.99093i) q^{29} +(-0.289045 - 2.64369i) q^{30} +(2.59436 - 4.49356i) q^{31} +(-0.865621 + 5.59023i) q^{32} +(-0.0397139 - 0.225229i) q^{33} +(5.27844 - 7.89664i) q^{34} +(4.46986 - 12.2808i) q^{35} +(5.40980 + 0.714214i) q^{36} +5.95511i q^{37} +(6.03537 - 1.25470i) q^{38} +1.64040 q^{39} +(5.29906 - 8.72186i) q^{40} +(0.621322 + 0.226143i) q^{41} +(-2.21950 - 1.48360i) q^{42} +(0.376394 - 0.0663684i) q^{43} +(0.405528 - 0.778322i) q^{44} +(-8.52551 - 4.92220i) q^{45} +(0.848123 + 7.75718i) q^{46} +(-3.54751 - 2.97672i) q^{47} +(-1.47305 - 1.47520i) q^{48} +(-3.05967 - 5.29950i) q^{49} +(-9.14661 + 6.70401i) q^{50} +(1.19722 + 3.28934i) q^{51} +(4.99271 + 3.83393i) q^{52} +(13.0892 + 2.30798i) q^{53} +(-2.92024 + 3.04941i) q^{54} +(-1.21289 + 1.01774i) q^{55} +(-3.28777 - 9.70285i) q^{56} +(-0.941933 + 2.06730i) q^{57} +(1.48091 - 3.36397i) q^{58} +(8.50400 + 10.1347i) q^{59} +(1.43802 + 3.47526i) q^{60} +(-5.02192 - 0.885501i) q^{61} +(-1.74542 + 7.12734i) q^{62} +(-9.28635 + 3.37995i) q^{63} +(-1.03556 - 7.93269i) q^{64} +(-5.67829 - 9.83508i) q^{65} +(0.142999 + 0.290106i) q^{66} +(-0.576990 + 0.687630i) q^{67} +(-4.04395 + 12.8095i) q^{68} +(-2.49052 - 1.43790i) q^{69} +(-1.21216 + 18.4426i) q^{70} +(1.20549 + 6.83668i) q^{71} +(-7.62782 + 1.16978i) q^{72} +(3.14662 + 1.14528i) q^{73} +(-2.35519 - 8.08578i) q^{74} -4.17929i q^{75} +(-7.69853 + 4.09055i) q^{76} +1.58942i q^{77} +(-2.22732 + 0.648765i) q^{78} +(-6.23172 - 2.26816i) q^{79} +(-3.74558 + 13.9382i) q^{80} +(1.15113 + 6.52839i) q^{81} +(-0.933060 - 0.0613263i) q^{82} +(-5.47269 - 3.15966i) q^{83} +(3.60035 + 1.13663i) q^{84} +(15.5771 - 18.5641i) q^{85} +(-0.484815 + 0.238975i) q^{86} +(0.677270 + 1.17307i) q^{87} +(-0.242802 + 1.21718i) q^{88} +(2.76705 - 1.00712i) q^{89} +(13.5225 + 3.31154i) q^{90} +(-11.2271 - 1.97964i) q^{91} +(-4.21947 - 10.1972i) q^{92} +(-1.73827 - 2.07159i) q^{93} +(5.99403 + 2.63874i) q^{94} +(15.6551 - 1.50863i) q^{95} +(2.58352 + 1.42042i) q^{96} +(-3.66959 + 3.07915i) q^{97} +(6.25029 + 5.98553i) q^{98} +(1.17906 + 0.207901i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26}+ \cdots + 93 q^{98}+O(q^{100}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/152\mathbb{Z}\right)^\times$.

$n$	$39$	$77$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{9}\right)$

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 $

$2$	−1.35779	+	0.395491i	−0.960101	+	0.279654i
$2$	−1.35779	+	0.395491i	−0.960101	+	0.279654i
$3$	0.178255	−	0.489751i	0.102915	−	0.282758i	−0.877539	−	0.479506i	$-0.840816\pi$
$3$	0.178255	−	0.489751i	0.102915	−	0.282758i	0.980454	+	0.196748i	$0.0630381\pi$
$4$	1.68717	−	1.07399i	0.843587	−	0.536993i
$5$	−3.55335	+	0.626551i	−1.58911	+	0.280202i	−0.897146	−	0.441734i	$-0.854364\pi$
$5$	−3.55335	+	0.626551i	−1.58911	+	0.280202i	−0.691960	+	0.721936i	$0.743253\pi$
$6$	−0.0483399	+	0.735476i	−0.0197347	+	0.300257i
$7$	−1.81103	+	3.13680i	−0.684506	+	1.18560i	0.289086	+	0.957303i	$0.406649\pi$
$7$	−1.81103	+	3.13680i	−0.684506	+	1.18560i	−0.973592	+	0.228295i	$0.926685\pi$
$8$	−1.86607	+	2.12551i	−0.659756	+	0.751480i
$9$	2.09005	+	1.75376i	0.696684	+	0.584587i
$10$	4.57690	−	2.25604i	1.44734	−	0.713423i
$11$	0.380026	−	0.219408i	0.114582	−	0.0661540i	−0.441614	−	0.897205i	$-0.645594\pi$
$11$	0.380026	−	0.219408i	0.114582	−	0.0661540i	0.556196	+	0.831051i	$0.312260\pi$
$12$	−0.225239	−	1.01774i	−0.0650209	−	0.293796i
$13$	1.07650	+	2.95765i	0.298566	+	0.820304i	0.994740	+	0.102431i	$0.0326621\pi$
$13$	1.07650	+	2.95765i	0.298566	+	0.820304i	−0.696174	+	0.717873i	$0.745116\pi$
$14$	1.21842	−	4.97535i	0.325636	−	1.32972i
$15$	−0.326547	+	1.85194i	−0.0843142	+	0.478170i
$16$	1.69311	−	3.62400i	0.423277	−	0.906000i
$17$	−5.14502	+	4.31719i	−1.24785	+	1.04707i	−0.250984	+	0.967991i	$0.580754\pi$
$17$	−5.14502	+	4.31719i	−1.24785	+	1.04707i	−0.996868	+	0.0790806i	$0.974802\pi$
$18$	−3.53144	−	1.55464i	−0.832369	−	0.366432i
$19$	−4.34549	−	0.341661i	−0.996923	−	0.0783824i
$19$	−4.34549	−	0.341661i	−0.996923	−	0.0783824i
$20$	−5.32221	+	4.87335i	−1.19008	+	1.08971i
$21$	1.21343	+	1.44610i	0.264791	+	0.315566i
$22$	−0.429220	+	0.448206i	−0.0915101	+	0.0955579i
$23$	0.958164	−	5.43402i	0.199791	−	1.13307i	−0.705638	−	0.708573i	$-0.749339\pi$
$23$	0.958164	−	5.43402i	0.199791	−	1.13307i	0.905429	−	0.424498i	$-0.139549\pi$
$24$	0.708333	+	1.29279i	0.144588	+	0.263890i
$25$	7.53526	−	2.74261i	1.50705	−	0.548522i
$26$	−2.63138	−	3.59011i	−0.516056	−	0.704079i
$27$	2.58554	−	1.49276i	0.497587	−	0.287282i
$28$	0.313353	+	7.23735i	0.0592182	+	1.36773i
$29$	−1.67059	+	1.99093i	−0.310221	+	0.369707i	−0.898517	−	0.438939i	$-0.855354\pi$
$29$	−1.67059	+	1.99093i	−0.310221	+	0.369707i	0.588296	+	0.808646i	$0.299799\pi$
$30$	−0.289045	−	2.64369i	−0.0527721	−	0.482670i
$31$	2.59436	−	4.49356i	0.465960	−	0.807067i	−0.533284	−	0.845936i	$-0.679042\pi$
$31$	2.59436	−	4.49356i	0.465960	−	0.807067i	0.999244	+	0.0388694i	$0.0123756\pi$
$32$	−0.865621	+	5.59023i	−0.153022	+	0.988223i
$33$	−0.0397139	−	0.225229i	−0.00691330	−	0.0392073i
$34$	5.27844	−	7.89664i	0.905245	−	1.35426i
$35$	4.46986	−	12.2808i	0.755545	−	2.07584i
$36$	5.40980	+	0.714214i	0.901633	+	0.119036i
$37$			5.95511i			0.979014i	0.871999	+	0.489507i	$0.162823\pi$
$37$			5.95511i			0.979014i	−0.871999	+	0.489507i	$0.837177\pi$
$38$	6.03537	−	1.25470i	0.979067	−	0.203539i
$39$	1.64040			0.262675
$40$	5.29906	−	8.72186i	0.837855	−	1.37905i
$41$	0.621322	+	0.226143i	0.0970341	+	0.0353175i	0.390081	−	0.920781i	$-0.372447\pi$
$41$	0.621322	+	0.226143i	0.0970341	+	0.0353175i	−0.293047	+	0.956098i	$0.594669\pi$
$42$	−2.21950	−	1.48360i	−0.342476	−	0.228925i
$43$	0.376394	−	0.0663684i	0.0573995	−	0.0101211i	−0.144875	−	0.989450i	$-0.546278\pi$
$43$	0.376394	−	0.0663684i	0.0573995	−	0.0101211i	0.202274	+	0.979329i	$0.435167\pi$
$44$	0.405528	−	0.778322i	0.0611357	−	0.117336i
$45$	−8.52551	−	4.92220i	−1.27091	−	0.733759i
$46$	0.848123	+	7.75718i	0.125049	+	1.14373i
$47$	−3.54751	−	2.97672i	−0.517458	−	0.434199i	0.346287	−	0.938129i	$-0.387442\pi$
$47$	−3.54751	−	2.97672i	−0.517458	−	0.434199i	−0.863744	+	0.503930i	$0.831887\pi$
$48$	−1.47305	−	1.47520i	−0.212617	−	0.212926i
$49$	−3.05967	−	5.29950i	−0.437096	−	0.757072i
$50$	−9.14661	+	6.70401i	−1.29353	+	0.948091i
$51$	1.19722	+	3.28934i	0.167645	+	0.460600i
$52$	4.99271	+	3.83393i	0.692364	+	0.531670i
$53$	13.0892	+	2.30798i	1.79794	+	0.317026i	0.969875	−	0.243603i	$-0.0783294\pi$
$53$	13.0892	+	2.30798i	1.79794	+	0.317026i	0.828067	+	0.560629i	$0.189440\pi$
$54$	−2.92024	+	3.04941i	−0.397394	+	0.414972i
$55$	−1.21289	+	1.01774i	−0.163547	+	0.137232i
$56$	−3.28777	−	9.70285i	−0.439347	−	1.29660i
$57$	−0.941933	+	2.06730i	−0.124762	+	0.273821i
$58$	1.48091	−	3.36397i	0.194453	−	0.441710i
$59$	8.50400	+	10.1347i	1.10713	+	1.31942i	0.942929	+	0.332995i	$0.108059\pi$
$59$	8.50400	+	10.1347i	1.10713	+	1.31942i	0.164198	+	0.986427i	$0.447496\pi$
$60$	1.43802	+	3.47526i	0.185647	+	0.448654i
$61$	−5.02192	−	0.885501i	−0.642991	−	0.113377i	−0.157361	−	0.987541i	$-0.550299\pi$
$61$	−5.02192	−	0.885501i	−0.642991	−	0.113377i	−0.485630	+	0.874164i	$0.661410\pi$
$62$	−1.74542	+	7.12734i	−0.221669	+	0.905173i
$63$	−9.28635	+	3.37995i	−1.16997	+	0.425834i
$64$	−1.03556	−	7.93269i	−0.129445	−	0.991587i
$65$	−5.67829	−	9.83508i	−0.704305	−	1.21989i
$66$	0.142999	+	0.290106i	0.0176020	+	0.0357096i
$67$	−0.576990	+	0.687630i	−0.0704905	+	0.0840073i	−0.800137	−	0.599817i	$-0.795240\pi$
$67$	−0.576990	+	0.687630i	−0.0704905	+	0.0840073i	0.729647	+	0.683824i	$0.239685\pi$
$68$	−4.04395	+	12.8095i	−0.490401	+	1.55338i
$69$	−2.49052	−	1.43790i	−0.299823	−	0.173103i
$70$	−1.21216	+	18.4426i	−0.144880	+	2.20431i
$71$	1.20549	+	6.83668i	0.143065	+	0.811365i	0.968900	+	0.247452i	$0.0795933\pi$
$71$	1.20549	+	6.83668i	0.143065	+	0.811365i	−0.825835	+	0.563912i	$0.809296\pi$
$72$	−7.62782	+	1.16978i	−0.898947	+	0.137859i
$73$	3.14662	+	1.14528i	0.368284	+	0.134044i	0.519531	−	0.854452i	$-0.326107\pi$
$73$	3.14662	+	1.14528i	0.368284	+	0.134044i	−0.151247	+	0.988496i	$0.548329\pi$
$74$	−2.35519	−	8.08578i	−0.273786	−	0.939952i
$75$		−	4.17929i		−	0.482582i
$76$	−7.69853	+	4.09055i	−0.883082	+	0.469218i
$77$			1.58942i			0.181131i
$78$	−2.22732	+	0.648765i	−0.252194	+	0.0734581i
$79$	−6.23172	−	2.26816i	−0.701123	−	0.255188i	−0.0332326	−	0.999448i	$-0.510580\pi$
$79$	−6.23172	−	2.26816i	−0.701123	−	0.255188i	−0.667890	+	0.744260i	$0.732802\pi$
$80$	−3.74558	+	13.9382i	−0.418769	+	1.55833i
$81$	1.15113	+	6.52839i	0.127904	+	0.725377i
$82$	−0.933060	−	0.0613263i	−0.103039	−	0.00677236i
$83$	−5.47269	−	3.15966i	−0.600706	−	0.346818i	0.168613	−	0.985682i	$-0.446071\pi$
$83$	−5.47269	−	3.15966i	−0.600706	−	0.346818i	−0.769319	+	0.638865i	$0.779404\pi$
$84$	3.60035	+	1.13663i	0.392831	+	0.124016i
$85$	15.5771	−	18.5641i	1.68958	−	2.01356i
$86$	−0.484815	+	0.238975i	−0.0522789	+	0.0257693i
$87$	0.677270	+	1.17307i	0.0726110	+	0.125766i
$88$	−0.242802	+	1.21718i	−0.0258828	+	0.129752i
$89$	2.76705	−	1.00712i	0.293306	−	0.106755i	−0.191176	−	0.981556i	$-0.561230\pi$
$89$	2.76705	−	1.00712i	0.293306	−	0.106755i	0.484483	+	0.874801i	$0.339008\pi$
$90$	13.5225	+	3.31154i	1.42540	+	0.349067i
$91$	−11.2271	−	1.97964i	−1.17692	−	0.207523i
$92$	−4.21947	−	10.1972i	−0.439910	−	1.06313i
$93$	−1.73827	−	2.07159i	−0.180250	−	0.214814i
$94$	5.99403	+	2.63874i	0.618237	+	0.272165i
$95$	15.6551	−	1.50863i	1.60618	−	0.154782i
$96$	2.58352	+	1.42042i	0.263680	+	0.144971i
$97$	−3.66959	+	3.07915i	−0.372590	+	0.312640i	−0.809785	−	0.586726i	$-0.800416\pi$
$97$	−3.66959	+	3.07915i	−0.372590	+	0.312640i	0.437195	+	0.899367i	$0.355972\pi$
$98$	6.25029	+	5.98553i	0.631374	+	0.604630i
$99$	1.17906	+	0.207901i	0.118500	+	0.0208948i
$100$	9.76777	−	12.7200i	0.976777	−	1.27200i
$101$	0.421241	+	1.15735i	0.0419151	+	0.115161i	0.958884	−	0.283797i	$-0.0915942\pi$
$101$	0.421241	+	1.15735i	0.0419151	+	0.115161i	−0.916969	+	0.398958i	$0.869372\pi$
$102$	−2.92648	−	3.99274i	−0.289765	−	0.395340i
$103$	4.23865	+	7.34155i	0.417646	+	0.723385i	0.995702	−	0.0926126i	$-0.0295218\pi$
$103$	4.23865	+	7.34155i	0.417646	+	0.723385i	−0.578056	+	0.815997i	$0.696188\pi$
$104$	−8.29532	−	3.23108i	−0.813423	−	0.316834i
$105$	−5.21778	−	4.37824i	−0.509203	−	0.427272i
$106$	−18.6852	+	2.04292i	−1.81486	+	0.198426i
$107$	−3.47844	−	2.00828i	−0.336274	−	0.194148i	0.322349	−	0.946621i	$-0.395527\pi$
$107$	−3.47844	−	2.00828i	−0.336274	−	0.194148i	−0.658623	+	0.752473i	$0.728861\pi$
$108$	2.75905	−	5.29538i	0.265490	−	0.509548i
$109$	3.89574	−	0.686925i	0.373145	−	0.0657955i	0.0160689	−	0.999871i	$-0.494885\pi$
$109$	3.89574	−	0.686925i	0.373145	−	0.0657955i	0.357076	+	0.934075i	$0.383774\pi$
$110$	1.24435	−	1.86156i	0.118644	−	0.177493i
$111$	2.91652	+	1.06153i	0.276824	+	0.100756i
$112$	8.30149	+	11.8741i	0.784417	+	1.12200i
$113$	4.12504			0.388051			0.194025	−	0.980996i	$-0.437846\pi$
$113$	4.12504			0.388051			0.194025	+	0.980996i	$0.437846\pi$
$114$	0.461344	−	3.17949i	0.0432088	−	0.297786i
$115$			19.9093i			1.85655i
$116$	−0.680343	+	5.15324i	−0.0631682	+	0.478466i
$117$	−2.93708	+	8.06956i	−0.271533	+	0.746031i
$118$	−15.5548	−	10.3975i	−1.43194	−	0.957165i
$119$	−4.22435	−	23.9575i	−0.387245	−	2.19618i
$120$	−3.32696	−	4.14994i	−0.303708	−	0.378836i
$121$	−5.40372	+	9.35952i	−0.491247	+	0.850865i
$122$	7.16891	−	0.783805i	0.649043	−	0.0709624i
$123$	0.221507	−	0.263982i	0.0199726	−	0.0238025i
$124$	−0.448888	−	10.3677i	−0.0403113	−	0.931048i
$125$	−9.43322	+	5.44627i	−0.843733	+	0.487129i
$126$	11.2721	−	8.26193i	1.00420	−	0.736031i
$127$	6.06982	−	2.20924i	0.538610	−	0.196038i	−0.0583688	−	0.998295i	$-0.518590\pi$
$127$	6.06982	−	2.20924i	0.538610	−	0.196038i	0.596979	+	0.802257i	$0.296368\pi$
$128$	4.54338	+	10.3614i	0.401582	+	0.915823i
$129$	0.0345900	−	0.196170i	0.00304548	−	0.0172718i
$130$	11.5996	+	11.1082i	1.01735	+	0.974257i
$131$	12.5465	+	14.9523i	1.09619	+	1.30639i	0.948295	+	0.317390i	$0.102806\pi$
$131$	12.5465	+	14.9523i	1.09619	+	1.30639i	0.147898	+	0.989003i	$0.452749\pi$
$132$	−0.308897	−	0.337348i	−0.0268860	−	0.0293623i
$133$	8.94154	−	13.0122i	0.775330	−	1.12830i
$134$	0.511478	−	1.16185i	0.0441850	−	0.100368i
$135$	−8.25203	+	6.92428i	−0.710222	+	0.595947i
$136$	0.424768	−	18.9920i	0.0364236	−	1.62855i
$137$	−0.0298899	+	0.169514i	−0.00255367	+	0.0144826i	−0.986058	−	0.166402i	$-0.946785\pi$
$137$	−0.0298899	+	0.169514i	−0.00255367	+	0.0144826i	0.983504	+	0.180885i	$0.0578961\pi$
$138$	3.95027	+	0.967386i	0.336269	+	0.0823494i
$139$	−3.32434	−	9.13356i	−0.281967	−	0.774698i	−0.997128	−	0.0757382i	$-0.975869\pi$
$139$	−3.32434	−	9.13356i	−0.281967	−	0.774698i	0.715161	−	0.698960i	$-0.246354\pi$
$140$	−5.64802	−	25.5205i	−0.477345	−	2.15687i
$141$	−2.09021	+	1.20678i	−0.176028	+	0.101630i
$142$	−4.34065	−	8.80600i	−0.364259	−	0.738983i
$143$	1.05803	+	0.887791i	0.0884768	+	0.0742408i
$144$	9.89432	−	4.60504i	0.824527	−	0.383753i
$145$	4.68877	−	8.12119i	0.389381	−	0.674428i
$146$	−4.72538	−	0.310581i	−0.391076	−	0.0257038i
$147$	−3.14084	+	0.553815i	−0.259052	+	0.0456779i
$148$	6.39571	+	10.0473i	0.525724	+	0.825884i
$149$	3.79804	−	10.4350i	0.311148	−	0.854871i	−0.681278	−	0.732025i	$-0.738576\pi$
$149$	3.79804	−	10.4350i	0.311148	−	0.854871i	0.992426	−	0.122846i	$-0.0392022\pi$
$150$	1.65287	+	5.67458i	0.134956	+	0.463328i
$151$	15.4686			1.25881			0.629407	−	0.777076i	$-0.283298\pi$
$151$	15.4686			1.25881			0.629407	+	0.777076i	$0.283298\pi$
$152$	8.83519	−	8.59880i	0.716629	−	0.697455i
$153$	−18.3247			−1.48146
$154$	−0.628601	−	2.15809i	−0.0506541	−	0.173904i
$155$	−6.40321	+	17.5927i	−0.514318	+	1.41308i
$156$	2.76764	−	1.76177i	0.221589	−	0.141054i
$157$	−10.4969	+	1.85088i	−0.837743	+	0.147717i	−0.576029	−	0.817429i	$-0.695399\pi$
$157$	−10.4969	+	1.85088i	−0.837743	+	0.147717i	−0.261713	+	0.965146i	$0.584287\pi$
$158$	9.35838	+	0.615089i	0.744513	+	0.0489339i
$159$	3.46355	−	5.99905i	0.274678	−	0.475756i
$160$	−0.426713	−	20.4064i	−0.0337346	−	1.61327i
$161$	15.3101	+	12.8467i	1.20661	+	1.01246i
$162$	−4.14491	−	8.40891i	−0.325655	−	0.660666i
$163$	−12.5659	+	7.25490i	−0.984234	+	0.568248i	−0.903546	−	0.428492i	$-0.859045\pi$
$163$	−12.5659	+	7.25490i	−0.984234	+	0.568248i	−0.0806881	+	0.996739i	$0.525712\pi$
$164$	1.29115	−	0.285749i	0.100822	−	0.0223132i
$165$	0.282235	+	0.775433i	0.0219719	+	0.0603674i
$166$	8.68037	+	2.12574i	0.673727	+	0.164990i
$167$	−2.62542	+	14.8895i	−0.203161	+	1.15218i	0.697146	+	0.716929i	$0.254453\pi$
$167$	−2.62542	+	14.8895i	−0.203161	+	1.15218i	−0.900307	+	0.435255i	$0.856658\pi$
$168$	−5.33804	−	0.119389i	−0.411839	−	0.00921106i
$169$	2.36973	−	1.98844i	0.182287	−	0.152957i
$170$	−13.8085	+	31.3667i	−1.05906	+	2.40572i
$171$	−8.48310	−	8.33504i	−0.648719	−	0.637396i
$172$	0.563763	−	0.516217i	0.0429865	−	0.0393612i
$173$	−8.86774	−	10.5682i	−0.674202	−	0.803482i	0.315148	−	0.949043i	$-0.397946\pi$
$173$	−8.86774	−	10.5682i	−0.674202	−	0.803482i	−0.989349	+	0.145560i	$0.953502\pi$
$174$	−1.38353	−	1.32492i	−0.104885	−	0.100442i
$175$	−5.04358	+	28.6036i	−0.381259	+	2.16223i
$176$	−0.151710	−	1.74870i	−0.0114356	−	0.131813i
$177$	6.47935	−	2.35829i	0.487018	−	0.177260i
$178$	−3.35875	+	2.46180i	−0.251749	+	0.184520i
$179$	9.19239	−	5.30723i	0.687072	−	0.396681i	−0.115442	−	0.993314i	$-0.536829\pi$
$179$	9.19239	−	5.30723i	0.687072	−	0.396681i	0.802514	+	0.596633i	$0.203495\pi$
$180$	−19.6704	+	0.851663i	−1.46614	+	0.0634792i
$181$	4.23274	−	5.04438i	0.314617	−	0.374946i	−0.585442	−	0.810714i	$-0.699079\pi$
$181$	4.23274	−	5.04438i	0.314617	−	0.374946i	0.900059	+	0.435768i	$0.143523\pi$
$182$	16.0270	−	1.75229i	1.18800	−	0.129888i
$183$	−1.32886	+	2.30165i	−0.0982319	+	0.170143i
$184$	9.76204	+	12.1768i	0.719667	+	0.897689i
$185$	−3.73118	−	21.1606i	−0.274322	−	1.55576i
$186$	3.17949	+	2.12531i	0.233132	+	0.155835i
$187$	−1.00802	+	2.76950i	−0.0737135	+	0.202526i
$188$	−9.18222	−	1.21226i	−0.669682	−	0.0884131i
$189$			10.8138i			0.786585i
$190$	−20.6597	+	8.23986i	−1.49881	+	0.597782i
$191$	−13.9420			−1.00880			−0.504402	−	0.863469i	$-0.668287\pi$
$191$	−13.9420			−1.00880			−0.504402	+	0.863469i	$0.668287\pi$
$192$	−4.06964	−	0.906875i	−0.293701	−	0.0654481i
$193$	−10.0207	−	3.64723i	−0.721304	−	0.262533i	−0.0448245	−	0.998995i	$-0.514273\pi$
$193$	−10.0207	−	3.64723i	−0.721304	−	0.262533i	−0.676479	+	0.736462i	$0.736495\pi$
$194$	3.76475	−	5.63212i	0.270293	−	0.404363i
$195$	−5.82892	+	1.02780i	−0.417418	+	0.0736020i
$196$	−10.8538	−	5.65514i	−0.775270	−	0.403939i
$197$	16.9554	+	9.78922i	1.20802	+	0.697453i	0.962327	−	0.271894i	$-0.0876500\pi$
$197$	16.9554	+	9.78922i	1.20802	+	0.697453i	0.245697	+	0.969347i	$0.420983\pi$
$198$	−1.68314	+	0.184024i	−0.119616	+	0.0130780i
$199$	7.65538	+	6.42362i	0.542675	+	0.455359i	0.872452	−	0.488700i	$-0.162529\pi$
$199$	7.65538	+	6.42362i	0.542675	+	0.455359i	−0.329776	+	0.944059i	$0.606973\pi$
$200$	−8.23190	+	21.1342i	−0.582083	+	1.49441i
$201$	0.233916	+	0.405155i	0.0164992	+	0.0285774i
$202$	−1.02968	−	1.40484i	−0.0724479	−	0.0988442i
$203$	−3.21966	−	8.84594i	−0.225976	−	0.620864i
$204$	5.55263	+	4.26389i	0.388762	+	0.298532i
$205$	−2.34946	−	0.414274i	−0.164094	−	0.0289341i
$206$	−8.65870	−	8.29192i	−0.603280	−	0.577725i
$207$	11.5326	−	9.67699i	0.801570	−	0.672597i
$208$	12.5412	+	1.10640i	0.869572	+	0.0767149i
$209$	−1.72636	+	0.823595i	−0.119415	+	0.0569693i
$210$	8.81620	+	3.88113i	0.608375	+	0.267824i
$211$	4.97164	+	5.92497i	0.342262	+	0.407892i	0.909528	−	0.415643i	$-0.136443\pi$
$211$	4.97164	+	5.92497i	0.342262	+	0.407892i	−0.567266	+	0.823535i	$0.691999\pi$
$212$	24.5625	−	10.1637i	1.68696	−	0.698044i
$213$	3.56316	+	0.628281i	0.244143	+	0.0430491i
$214$	5.51724	+	1.35112i	0.377151	+	0.0923609i
$215$	−1.29588	+	0.471660i	−0.0883780	+	0.0321670i
$216$	−1.65192	+	8.28118i	−0.112399	+	0.563463i
$217$	9.39692	+	16.2759i	0.637905	+	1.10488i
$218$	−5.01792	+	2.47343i	−0.339856	+	0.167522i
$219$	1.12180	−	1.33691i	0.0758042	−	0.0903399i
$220$	−0.953326	+	3.01973i	−0.0642732	+	0.203590i
$221$	−18.3073	−	10.5697i	−1.23148	−	0.710998i
$222$	−4.37984	−	0.287870i	−0.293956	−	0.0193205i
$223$	−1.06597	−	6.04540i	−0.0713825	−	0.404830i	−0.999473	−	0.0324743i	$-0.989661\pi$
$223$	−1.06597	−	6.04540i	−0.0713825	−	0.404830i	0.928090	−	0.372356i	$-0.121450\pi$
$224$	−15.9678	−	12.8394i	−1.06689	−	0.857866i
$225$	20.5590	+	7.48286i	1.37060	+	0.498857i
$226$	−5.60092	+	1.63142i	−0.372568	+	0.108520i
$227$		−	22.5256i		−	1.49507i	−0.664220	−	0.747537i	$-0.731236\pi$
$227$		−	22.5256i		−	1.49507i	0.664220	−	0.747537i	$-0.268764\pi$
$228$	0.631052	+	4.49952i	0.0417924	+	0.297988i
$229$			2.87289i			0.189846i	0.995485	+	0.0949230i	$0.0302605\pi$
$229$			2.87289i			0.189846i	−0.995485	+	0.0949230i	$0.969740\pi$
$230$	−7.87395	−	27.0326i	−0.519193	−	1.78248i
$231$	0.778420	+	0.283322i	0.0512163	+	0.0186412i
$232$	−1.11430	−	7.26607i	−0.0731573	−	0.477041i
$233$	−0.468956	−	2.65958i	−0.0307223	−	0.174235i	0.965586	−	0.260085i	$-0.0837506\pi$
$233$	−0.468956	−	2.65958i	−0.0307223	−	0.174235i	−0.996308	+	0.0858499i	$0.972639\pi$
$234$	0.796490	−	12.1183i	0.0520682	−	0.792200i
$235$	14.4706	+	8.35462i	0.943959	+	0.544995i
$236$	25.2322	+	7.96578i	1.64248	+	0.518528i
$237$	−2.22167	+	2.64768i	−0.144313	+	0.171985i
$238$	15.2107	+	30.8585i	0.985965	+	2.00026i
$239$	−3.74844	−	6.49248i	−0.242466	−	0.419964i	0.718950	−	0.695062i	$-0.244623\pi$
$239$	−3.74844	−	6.49248i	−0.242466	−	0.419964i	−0.961416	+	0.275098i	$0.911290\pi$
$240$	6.15856	+	4.31895i	0.397533	+	0.278787i
$241$	−19.6289	+	7.14435i	−1.26441	+	0.460208i	−0.885247	−	0.465122i	$-0.846011\pi$
$241$	−19.6289	+	7.14435i	−1.26441	+	0.460208i	−0.379164	+	0.925330i	$0.623788\pi$
$242$	3.63550	−	14.8454i	0.233699	−	0.954296i
$243$	12.2230	+	2.15524i	0.784105	+	0.138259i
$244$	−9.42387	+	3.89948i	−0.603302	+	0.249639i
$245$	14.1925	+	16.9139i	0.906725	+	1.08059i
$246$	−0.196357	+	0.446036i	−0.0125193	+	0.0284382i
$247$	−3.66739	−	13.2202i	−0.233350	−	0.841183i
$248$	4.70983	+	13.8996i	0.299075	+	0.882627i
$249$	−2.52298	+	2.11703i	−0.159887	+	0.134161i
$250$	10.6544	−	11.1256i	0.673841	−	0.703647i
$251$	11.5835	+	2.04249i	0.731146	+	0.128921i	0.526814	−	0.849981i	$-0.323387\pi$
$251$	11.5835	+	2.04249i	0.731146	+	0.128921i	0.204332	+	0.978902i	$0.434498\pi$
$252$	−12.0377	+	15.6760i	−0.758301	+	0.987494i
$253$	−0.828140	−	2.27530i	−0.0520647	−	0.143047i
$254$	−7.36780	+	5.40023i	−0.462297	+	0.338841i
$255$	−6.31509	−	10.9381i	−0.395466	−	0.684968i
$256$	−10.2668	−	12.2717i	−0.641673	−	0.766978i
$257$	21.7871	+	18.2816i	1.35904	+	1.14037i	0.976276	+	0.216529i	$0.0694735\pi$
$257$	21.7871	+	18.2816i	1.35904	+	1.14037i	0.382768	+	0.923845i	$0.374971\pi$
$258$	0.0306175	+	0.280037i	0.00190616	+	0.0174343i
$259$	−18.6800	−	10.7849i	−1.16072	−	0.670141i
$260$	−20.1430	−	10.4951i	−1.24922	−	0.650878i
$261$	−6.98324	+	1.23133i	−0.432252	+	0.0762176i
$262$	−22.9490	−	15.3401i	−1.41779	−	0.947713i
$263$	−4.40729	−	1.60412i	−0.271765	−	0.0989144i	0.202543	−	0.979273i	$-0.435079\pi$
$263$	−4.40729	−	1.60412i	−0.271765	−	0.0989144i	−0.474308	+	0.880359i	$0.657302\pi$
$264$	0.552834	+	0.335880i	0.0340246	+	0.0206720i
$265$	−47.9566			−2.94595
$266$	−6.99451	+	21.2040i	−0.428861	+	1.30010i
$267$		−	1.53469i		−	0.0939214i
$268$	−0.234977	+	1.77983i	−0.0143535	+	0.108720i
$269$	−3.37775	+	9.28030i	−0.205945	+	0.565830i	−0.999065	−	0.0432360i	$-0.986233\pi$
$269$	−3.37775	+	9.28030i	−0.205945	+	0.565830i	0.793120	+	0.609066i	$0.208455\pi$
$270$	8.46602	−	12.6653i	0.515225	−	0.770786i
$271$	2.81763	+	15.9795i	0.171159	+	0.970688i	0.942485	+	0.334249i	$0.108483\pi$
$271$	2.81763	+	15.9795i	0.171159	+	0.970688i	−0.771326	+	0.636440i	$0.780406\pi$
$272$	6.93441	+	25.9550i	0.420460	+	1.57376i
$273$	−2.97082	+	5.14561i	−0.179802	+	0.311427i
$274$	−0.0264572	−	0.241985i	−0.00159834	−	0.0146189i
$275$	2.26184	−	2.69556i	0.136394	−	0.162548i
$276$	−5.74622	+	0.248792i	−0.345882	+	0.0149755i
$277$	−8.62292	+	4.97844i	−0.518101	+	0.299126i	−0.736157	−	0.676810i	$-0.763362\pi$
$277$	−8.62292	+	4.97844i	−0.518101	+	0.299126i	0.218056	+	0.975936i	$0.430028\pi$
$278$	8.12599	+	11.0867i	0.487365	+	0.664935i
$279$	13.3030	−	4.84189i	0.796428	−	0.289876i
$280$	17.7619	+	32.4177i	1.06148	+	1.93733i
$281$	2.34289	−	13.2872i	0.139765	−	0.792647i	−0.831657	−	0.555289i	$-0.812608\pi$
$281$	2.34289	−	13.2872i	0.139765	−	0.792647i	0.971422	−	0.237358i	$-0.0762813\pi$
$282$	2.36079	−	2.46522i	0.140583	−	0.146802i
$283$	−8.89834	−	10.6046i	−0.528952	−	0.630380i	0.433721	−	0.901047i	$-0.357200\pi$
$283$	−8.89834	−	10.6046i	−0.528952	−	0.630380i	−0.962673	+	0.270667i	$0.912756\pi$
$284$	9.37637	+	10.2400i	0.556385	+	0.607631i
$285$	2.05174	−	7.93603i	0.121535	−	0.470090i
$286$	−1.78769	−	0.786991i	−0.105708	−	0.0465358i
$287$	−1.83460	+	1.53941i	−0.108293	+	0.0908685i
$288$	−11.6131	+	10.1658i	−0.684310	+	0.599025i
$289$	4.88114	−	27.6823i	0.287126	−	1.62837i
$290$	−3.15449	+	12.8812i	−0.185238	+	0.756411i
$291$	0.853896	+	2.34606i	0.0500562	+	0.137528i
$292$	6.53890	−	1.44714i	0.382660	−	0.0846878i
$293$	8.10134	−	4.67731i	0.473286	−	0.273252i	−0.244329	−	0.969693i	$-0.578568\pi$
$293$	8.10134	−	4.67731i	0.473286	−	0.273252i	0.717614	+	0.696441i	$0.245234\pi$
$294$	4.04556	−	1.99414i	0.235942	−	0.116300i
$295$	−36.5676	−	30.6838i	−2.12905	−	1.78648i
$296$	−12.6576	−	11.1127i	−0.735710	−	0.645910i
$297$	0.655048	−	1.13458i	0.0380097	−	0.0658348i
$298$	−1.02997	+	15.6706i	−0.0596645	+	0.907776i
$299$	17.1034	−	3.01579i	0.989114	−	0.174407i
$300$	−4.48850	−	7.05118i	−0.259143	−	0.407100i
$301$	−0.473477	+	1.30087i	−0.0272907	+	0.0749807i
$302$	−21.0030	+	6.11768i	−1.20859	+	0.352033i
$303$	0.641902			0.0368763
$304$	−8.59556	+	15.1696i	−0.492989	+	0.870035i
$305$	18.3995			1.05355
$306$	24.8810	−	7.24725i	1.42235	−	0.414298i
$307$	4.23577	−	11.6377i	0.241748	−	0.664197i	−0.758178	−	0.652047i	$-0.773910\pi$
$307$	4.23577	−	11.6377i	0.241748	−	0.664197i	0.999926	−	0.0121498i	$-0.00386748\pi$
$308$	1.70701	+	2.68163i	0.0972661	+	0.152800i
$309$	4.35109	−	0.767215i	0.247525	−	0.0436453i
$310$	1.73645	−	26.4195i	0.0986238	−	1.50053i
$311$	6.64245	−	11.5051i	0.376659	−	0.652392i	−0.613915	−	0.789372i	$-0.710406\pi$
$311$	6.64245	−	11.5051i	0.376659	−	0.652392i	0.990574	+	0.136980i	$0.0437395\pi$
$312$	−3.06111	+	3.48669i	−0.173301	+	0.197395i
$313$	13.6701	+	11.4706i	0.772678	+	0.648354i	0.941393	−	0.337311i	$-0.109517\pi$
$313$	13.6701	+	11.4706i	0.772678	+	0.648354i	−0.168715	+	0.985665i	$0.553962\pi$
$314$	13.5205	−	6.66453i	0.763008	−	0.376101i
$315$	30.8799	−	17.8285i	1.73989	−	1.00452i
$316$	−12.9500	+	2.86600i	−0.728492	+	0.161225i
$317$	−2.26034	−	6.21023i	−0.126953	−	0.348801i	0.859890	−	0.510479i	$-0.170532\pi$
$317$	−2.26034	−	6.21023i	−0.126953	−	0.348801i	−0.986844	+	0.161677i	$0.948310\pi$
$318$	−2.33020	+	9.51524i	−0.130671	+	0.533588i
$319$	−0.198041	+	1.12315i	−0.0110882	+	0.0628841i
$320$	8.64994	+	27.5388i	0.483546	+	1.53947i
$321$	−1.60361	+	1.34559i	−0.0895046	+	0.0751032i
$322$	−25.8687	−	11.3881i	−1.44161	−	0.634635i
$323$	23.8327	−	17.0024i	1.32608	−	0.946041i
$324$	8.95356	+	9.77823i	0.497420	+	0.543235i
$325$	16.2234	+	19.3343i	0.899910	+	1.07247i
$326$	14.1925	−	14.8203i	0.786051	−	0.820820i
$327$	0.358013	−	2.03039i	0.0197982	−	0.112281i
$328$	−1.64010	+	0.898625i	−0.0905593	+	0.0496183i
$329$	15.7620	−	5.73691i	0.868988	−	0.316286i
$330$	−0.689892	−	0.941252i	−0.0379773	−	0.0518142i
$331$	−27.1893	+	15.6977i	−1.49446	+	0.862825i	−0.999980	−	0.00636473i	$-0.997974\pi$
$331$	−27.1893	+	15.6977i	−1.49446	+	0.862825i	−0.494478	+	0.869190i	$0.664641\pi$
$332$	−12.6268	+	0.546699i	−0.692986	+	0.0300040i
$333$	−10.4438	+	12.4465i	−0.572319	+	0.682064i
$334$	−2.32390	−	21.2551i	−0.127158	−	1.16303i
$335$	1.61941	−	2.80490i	0.0884779	−	0.153248i
$336$	7.29514	−	1.94904i	0.397983	−	0.106329i
$337$	−4.91514	−	27.8751i	−0.267745	−	1.51845i	−0.761104	−	0.648629i	$-0.775343\pi$
$337$	−4.91514	−	27.8751i	−0.267745	−	1.51845i	0.493360	−	0.869825i	$-0.335769\pi$
$338$	−2.43118	+	3.63709i	−0.132239	+	0.197832i
$339$	0.735308	−	2.02024i	0.0399364	−	0.109724i
$340$	6.34374	−	48.0505i	0.344038	−	2.60590i
$341$		−	2.27689i		−	0.123301i
$342$	14.8147	+	7.96222i	0.801087	+	0.430548i
$343$	−3.18981			−0.172233
$344$	−0.561311	+	0.923876i	−0.0302639	+	0.0498120i
$345$	9.75060	+	3.54893i	0.524955	+	0.191068i
$346$	16.2201	+	10.8422i	0.871999	+	0.582880i
$347$	−9.43422	+	1.66351i	−0.506456	+	0.0893018i	−0.421037	−	0.907043i	$-0.638334\pi$
$347$	−9.43422	+	1.66351i	−0.506456	+	0.0893018i	−0.0854184	+	0.996345i	$0.527223\pi$
$348$	2.40253	+	1.25179i	0.128789	+	0.0671029i
$349$	24.8657	+	14.3562i	1.33103	+	0.768470i	0.985457	−	0.169923i	$-0.0543518\pi$
$349$	24.8657	+	14.3562i	1.33103	+	0.768470i	0.345571	+	0.938392i	$0.387685\pi$
$350$	−4.46435	−	40.8322i	−0.238629	−	2.18258i
$351$	7.19839	+	6.04017i	0.384222	+	0.322400i
$352$	0.897583	+	2.31436i	0.0478414	+	0.123356i
$353$	−9.10896	−	15.7772i	−0.484821	−	0.839735i	0.515027	−	0.857174i	$-0.327782\pi$
$353$	−9.10896	−	15.7772i	−0.484821	−	0.839735i	−0.999848	+	0.0174391i	$0.994449\pi$
$354$	−7.86489	+	5.76458i	−0.418014	+	0.306384i
$355$	−8.56706	−	23.5378i	−0.454692	−	1.24926i
$356$	3.58685	−	4.67096i	0.190103	−	0.247560i
$357$	−12.4862	−	2.20166i	−0.660840	−	0.116524i
$358$	−10.3824	+	10.8416i	−0.548724	+	0.572996i
$359$	−17.5349	+	14.7135i	−0.925455	+	0.776549i	−0.974996	−	0.222223i	$-0.928669\pi$
$359$	−17.5349	+	14.7135i	−0.925455	+	0.776549i	0.0495409	+	0.998772i	$0.484224\pi$
$360$	26.3714	−	8.93584i	1.38989	−	0.470960i
$361$	18.7665	+	2.96937i	0.987712	+	0.156282i
$362$	−3.75215	+	8.52321i	−0.197209	+	0.447970i
$363$	3.62059	+	4.31486i	0.190032	+	0.226471i
$364$	−21.0682	+	8.71776i	−1.10427	+	0.456935i
$365$	−11.8986	−	2.09805i	−0.622801	−	0.109817i
$366$	0.894024	−	3.65070i	0.0467314	−	0.190825i
$367$	−8.79345	+	3.20055i	−0.459014	+	0.167068i	−0.561170	−	0.827701i	$-0.689648\pi$
$367$	−8.79345	+	3.20055i	−0.459014	+	0.167068i	0.102155	+	0.994768i	$0.467426\pi$
$368$	−18.0706	−	12.6728i	−0.941995	−	0.660614i
$369$	0.901994	+	1.56230i	0.0469560	+	0.0813301i
$370$	13.4350	+	27.2559i	0.698451	+	1.41697i
$371$	−30.9447	+	36.8784i	−1.60657	+	1.91463i
$372$	−5.15762	−	1.62825i	−0.267410	−	0.0844209i
$373$	9.42605	+	5.44213i	0.488062	+	0.281783i	0.723770	−	0.690041i	$-0.242408\pi$
$373$	9.42605	+	5.44213i	0.488062	+	0.281783i	−0.235708	+	0.971824i	$0.575741\pi$
$374$	0.273358	−	4.15906i	0.0141350	−	0.215060i
$375$	0.985801	+	5.59075i	0.0509065	+	0.288705i
$376$	12.9469	−	1.98550i	0.667688	−	0.102394i
$377$	−7.68686	−	2.79779i	−0.395894	−	0.144093i
$378$	−4.27675	−	14.6828i	−0.219972	−	0.755201i
$379$			10.4146i			0.534963i	0.963563	+	0.267482i	$0.0861915\pi$
$379$			10.4146i			0.534963i	−0.963563	+	0.267482i	$0.913809\pi$
$380$	24.7926	−	19.3587i	1.27184	−	0.993080i
$381$		−	3.36651i		−	0.172472i
$382$	18.9302	−	5.51392i	0.968554	−	0.282117i
$383$	−20.1708	−	7.34157i	−1.03068	−	0.375137i	−0.229340	−	0.973346i	$-0.573657\pi$
$383$	−20.1708	−	7.34157i	−1.03068	−	0.375137i	−0.801340	+	0.598210i	$0.795879\pi$
$384$	5.88436	−	0.378162i	0.300285	−	0.0192980i
$385$	−0.995853	−	5.64776i	−0.0507534	−	0.287837i
$386$	15.0484	+	0.989071i	0.765943	+	0.0503424i
$387$	0.903077	+	0.521392i	0.0459060	+	0.0265038i
$388$	−2.88427	+	9.13615i	−0.146427	+	0.463818i
$389$	−12.0248	+	14.3306i	−0.609684	+	0.726593i	−0.979260	−	0.202608i	$-0.935058\pi$
$389$	−12.0248	+	14.3306i	−0.609684	+	0.726593i	0.369576	+	0.929200i	$0.379503\pi$
$390$	7.50796	−	3.70082i	0.380180	−	0.187398i
$391$	18.5299	+	32.0947i	0.937097	+	1.62310i
$392$	16.9737	+	3.38590i	0.857301	+	0.171014i
$393$	9.55940	−	3.47934i	0.482208	−	0.175509i
$394$	−26.8934	−	6.58596i	−1.35487	−	0.331796i
$395$	23.5646	+	4.15507i	1.18566	+	0.209064i
$396$	2.21257	−	0.915533i	0.111186	−	0.0460073i
$397$	0.0151058	+	0.0180024i	0.000758139	+	0.000903515i	0.766423	−	0.642336i	$-0.222035\pi$
$397$	0.0151058	+	0.0180024i	0.000758139	+	0.000903515i	−0.765665	+	0.643239i	$0.777590\pi$
$398$	−12.9349	−	5.69428i	−0.648366	−	0.285429i
$399$	−4.77885	−	6.69861i	−0.239242	−	0.335350i
$400$	2.81879	−	31.9513i	0.140940	−	1.59757i
$401$	−9.71472	+	8.15162i	−0.485130	+	0.407072i	−0.852277	−	0.523091i	$-0.824779\pi$
$401$	−9.71472	+	8.15162i	−0.485130	+	0.407072i	0.367147	+	0.930163i	$0.380335\pi$
$402$	−0.477843	−	0.457602i	−0.0238327	−	0.0228231i
$403$	16.0832	+	2.83590i	0.801161	+	0.141266i
$404$	1.95369	+	1.50024i	0.0971995	+	0.0746400i
$405$	−8.18075	−	22.4764i	−0.406505	−	1.11686i
$406$	7.87011	+	10.7376i	0.390587	+	0.532896i
$407$	1.30660	+	2.26310i	0.0647657	+	0.112178i
$408$	−9.22562	−	3.59344i	−0.456736	−	0.177902i
$409$	8.05259	+	6.75693i	0.398175	+	0.334109i	0.819788	−	0.572667i	$-0.194091\pi$
$409$	8.05259	+	6.75693i	0.398175	+	0.334109i	−0.421613	+	0.906776i	$0.638536\pi$
$410$	3.35391	−	0.366696i	0.165638	−	0.0181098i
$411$	0.0776917	+	0.0448553i	0.00383225	+	0.00221255i
$412$	15.0361	+	7.83422i	0.740773	+	0.385965i
$413$	−47.1914	+	8.32113i	−2.32214	+	0.409456i
$414$	−11.8316	+	17.7003i	−0.581493	+	0.869923i
$415$	21.4261	+	7.79845i	1.05176	+	0.382811i
$416$	−17.4658	+	3.45766i	−0.856331	+	0.169526i
$417$	−5.06575			−0.248071
$418$	2.01831	−	1.80103i	0.0987186	−	0.0880911i
$419$		−	30.4034i		−	1.48531i	−0.669677	−	0.742653i	$-0.733567\pi$
$419$		−	30.4034i		−	1.48531i	0.669677	−	0.742653i	$-0.266433\pi$
$420$	−13.5055	−	1.78302i	−0.659000	−	0.0870027i
$421$	11.1442	−	30.6184i	0.543134	−	1.49225i	−0.299677	−	0.954041i	$-0.596879\pi$
$421$	11.1442	−	30.6184i	0.543134	−	1.49225i	0.842812	−	0.538209i	$-0.180899\pi$
$422$	−9.09370	−	6.07861i	−0.442675	−	0.295902i
$423$	−2.19403	−	12.4430i	−0.106678	−	0.604999i
$424$	−29.3310	+	23.5144i	−1.42444	+	1.14196i
$425$	−26.9287	+	46.6420i	−1.30624	+	2.26247i
$426$	−5.08649	+	0.556125i	−0.246441	+	0.0269444i
$427$	11.8725	−	14.1491i	0.574551	−	0.684723i
$428$	−8.02560	+	0.347482i	−0.387932	+	0.0167962i
$429$	0.623395	−	0.359918i	0.0300978	−	0.0173770i
$430$	1.57299	−	1.15292i	0.0758561	−	0.0555988i
$431$	29.1465	−	10.6084i	1.40394	−	0.510991i	0.474592	−	0.880206i	$-0.342596\pi$
$431$	29.1465	−	10.6084i	1.40394	−	0.510991i	0.929344	+	0.369215i	$0.120373\pi$
$432$	−1.03217	−	11.8974i	−0.0496604	−	0.572414i
$433$	−4.85572	+	27.5382i	−0.233351	+	1.32340i	0.612707	+	0.790310i	$0.290080\pi$
$433$	−4.85572	+	27.5382i	−0.233351	+	1.32340i	−0.846058	+	0.533090i	$0.821031\pi$
$434$	−19.1960	−	18.3829i	−0.921438	−	0.882406i
$435$	−3.14156	−	3.74397i	−0.150626	−	0.179510i
$436$	5.83505	−	5.34294i	0.279448	−	0.255880i
$437$	−6.02028	+	23.2861i	−0.287989	+	1.11392i
$438$	−0.994430	+	2.25890i	−0.0475157	+	0.107934i
$439$	−18.9839	+	15.9294i	−0.906054	+	0.760269i	−0.971364	−	0.237596i	$-0.923641\pi$
$439$	−18.9839	+	15.9294i	−0.906054	+	0.760269i	0.0653103	+	0.997865i	$0.479196\pi$
$440$	0.100135	−	4.47719i	0.00477377	−	0.213442i
$441$	2.89920	−	16.4422i	0.138057	−	0.782960i
$442$	29.0377	+	7.11108i	1.38118	+	0.338239i
$443$	−1.79167	−	4.92257i	−0.0851248	−	0.233879i	0.889826	−	0.456301i	$-0.150826\pi$
$443$	−1.79167	−	4.92257i	−0.0851248	−	0.233879i	−0.974950	+	0.222422i	$0.928604\pi$
$444$	6.06074	−	1.34132i	0.287630	−	0.0636564i
$445$	−9.20127	+	5.31236i	−0.436182	+	0.251830i
$446$	3.83826	+	7.78679i	0.181747	+	0.368715i
$447$	−4.43355	−	3.72019i	−0.209700	−	0.175959i
$448$	26.7587	+	11.1180i	1.26423	+	0.525277i
$449$	−12.7259	+	22.0418i	−0.600570	+	1.04022i	0.392165	+	0.919895i	$0.371726\pi$
$449$	−12.7259	+	22.0418i	−0.600570	+	1.04022i	−0.992735	+	0.120323i	$0.961607\pi$
$450$	−30.8741	−	2.02923i	−1.45542	−	0.0956590i
$451$	0.285736	−	0.0503829i	0.0134548	−	0.00237244i
$452$	6.95965	−	4.43023i	0.327355	−	0.208381i
$453$	2.75735	−	7.57575i	0.129551	−	0.355940i
$454$	8.90866	+	30.5849i	0.418104	+	1.43542i
$455$	41.1342			1.92840
$456$	−2.63636	−	5.85982i	−0.123459	−	0.274411i
$457$	36.2633			1.69633			0.848163	−	0.529736i	$-0.177709\pi$
$457$	36.2633			1.69633			0.848163	+	0.529736i	$0.177709\pi$
$458$	−1.13620	−	3.90077i	−0.0530913	−	0.182271i
$459$	−6.85813	+	18.8426i	−0.320110	+	0.879495i
$460$	21.3823	+	33.5904i	0.996955	+	1.56616i
$461$	2.09253	−	0.368969i	0.0974588	−	0.0171846i	−0.124706	−	0.992194i	$-0.539799\pi$
$461$	2.09253	−	0.368969i	0.0974588	−	0.0171846i	0.222165	+	0.975009i	$0.428688\pi$
$462$	−1.16898	−	0.0768324i	−0.0543859	−	0.00357457i
$463$	5.19412	−	8.99648i	0.241391	−	0.418102i	−0.719720	−	0.694265i	$-0.755730\pi$
$463$	5.19412	−	8.99648i	0.241391	−	0.418102i	0.961111	+	0.276163i	$0.0890630\pi$
$464$	4.38665	+	9.42508i	0.203645	+	0.437548i
$465$	7.47463	+	6.27196i	0.346628	+	0.290855i
$466$	1.68858	+	3.42568i	0.0782222	+	0.158692i
$467$	−23.6707	+	13.6663i	−1.09535	+	0.632400i	−0.934995	−	0.354660i	$-0.884597\pi$
$467$	−23.6707	+	13.6663i	−1.09535	+	0.632400i	−0.160353	+	0.987060i	$0.551263\pi$
$468$	3.71123	+	16.7691i	0.171552	+	0.775153i
$469$	−1.11201	−	3.05522i	−0.0513478	−	0.141077i
$470$	−22.9522	−	5.62079i	−1.05871	−	0.259268i
$471$	−0.964648	+	5.47079i	−0.0444486	+	0.252081i
$472$	−37.4104	−	0.836709i	−1.72195	−	0.0385127i
$473$	0.128478	−	0.107806i	0.00590741	−	0.00495690i
$474$	1.96942	−	4.47363i	0.0904583	−	0.205481i
$475$	−33.6814	+	9.34348i	−1.54541	+	0.428708i
$476$	−32.8572	−	35.8835i	−1.50601	−	1.64472i
$477$	23.3095	+	27.7792i	1.06727	+	1.27192i
$478$	7.65730	+	7.33294i	0.350237	+	0.335401i
$479$	−7.02555	+	39.8439i	−0.321006	+	1.82051i	0.215368	+	0.976533i	$0.430905\pi$
$479$	−7.02555	+	39.8439i	−0.321006	+	1.82051i	−0.536374	+	0.843980i	$0.680206\pi$
$480$	−10.0701	−	3.42856i	−0.459636	−	0.156491i
$481$	−17.6131	+	6.41066i	−0.803090	+	0.292301i
$482$	23.8264	−	17.4636i	1.08526	−	0.795444i
$483$	9.02081	−	5.20817i	0.410461	−	0.236980i
$484$	0.934977	+	21.5946i	0.0424989	+	0.981575i
$485$	11.1101	−	13.2405i	0.504483	−	0.601219i
$486$	−17.4486	+	1.90772i	−0.791484	+	0.0865360i
$487$	12.3436	−	21.3797i	0.559341	−	0.968807i	−0.438210	−	0.898872i	$-0.644387\pi$
$487$	12.3436	−	21.3797i	0.559341	−	0.968807i	0.997552	−	0.0699350i	$-0.0222792\pi$
$488$	11.2534	−	9.02173i	0.509418	−	0.408394i
$489$	1.31317	+	7.44736i	0.0593836	+	0.336781i
$490$	−25.9597	−	17.3525i	−1.17274	−	0.783908i
$491$	−13.0447	+	35.8400i	−0.588698	+	1.61744i	0.184188	+	0.982891i	$0.441034\pi$
$491$	−13.0447	+	35.8400i	−0.588698	+	1.61744i	−0.772887	+	0.634544i	$0.781188\pi$
$492$	0.0902081	−	0.683279i	0.00406690	−	0.0308046i
$493$		−	17.4556i		−	0.786163i
$494$	10.2080	+	16.4998i	0.459280	+	0.742363i
$495$	−4.31988			−0.194164
$496$	−11.8921	−	17.0100i	−0.533972	−	0.763773i
$497$	−23.6285	−	8.60006i	−1.05988	−	0.385765i
$498$	2.58840	−	3.87229i	0.115989	−	0.173522i
$499$	−34.4027	+	6.06613i	−1.54008	+	0.271557i	−0.878288	−	0.478132i	$-0.841314\pi$
$499$	−34.4027	+	6.06613i	−1.54008	+	0.271557i	−0.661790	+	0.749689i	$0.730203\pi$
$500$	−10.0663	+	19.3200i	−0.450177	+	0.864014i
$501$	6.82415	+	3.93993i	0.304881	+	0.176023i
$502$	−16.5358	+	1.80792i	−0.738027	+	0.0806914i
$503$	−18.2787	−	15.3377i	−0.815008	−	0.683873i	0.136789	−	0.990600i	$-0.456322\pi$
$503$	−18.2787	−	15.3377i	−0.815008	−	0.683873i	−0.951797	+	0.306727i	$0.900766\pi$
$504$	10.1449	−	26.0454i	0.451888	−	1.16016i
$505$	−2.22196	−	3.84854i	−0.0988758	−	0.171258i
$506$	2.02430	+	2.76185i	0.0899910	+	0.122779i
$507$	−0.551425	−	1.51503i	−0.0244896	−	0.0672847i
$508$	7.86816	−	10.2463i	0.349093	−	0.454605i
$509$	−5.87494	−	1.03591i	−0.260402	−	0.0459159i	0.0419228	−	0.999121i	$-0.486652\pi$
$509$	−5.87494	−	1.03591i	−0.260402	−	0.0459159i	−0.302325	+	0.953205i	$0.597763\pi$
$510$	12.9005	+	12.3540i	0.571242	+	0.547044i
$511$	−9.29112	+	7.79618i	−0.411015	+	0.344883i
$512$	18.7934	+	12.6019i	0.830560	+	0.556930i
$513$	−11.7455	+	5.60340i	−0.518574	+	0.247396i
$514$	−36.8125	−	16.2059i	−1.62373	−	0.714810i
$515$	−19.6613	−	23.4314i	−0.866378	−	1.03251i
$516$	−0.152324	−	0.368122i	−0.00670570	−	0.0162057i
$517$	−2.00126	−	0.352877i	−0.0880154	−	0.0155195i
$518$	29.6288	+	7.25583i	1.30181	+	0.318803i
$519$	−6.75648	+	2.45916i	−0.296577	+	0.107945i
$520$	31.5006	+	6.28372i	1.38139	+	0.275560i
$521$	−5.49276	−	9.51375i	−0.240642	−	0.416805i	0.720255	−	0.693709i	$-0.244025\pi$
$521$	−5.49276	−	9.51375i	−0.240642	−	0.416805i	−0.960897	+	0.276904i	$0.910691\pi$
$522$	8.99477	−	4.43370i	0.393691	−	0.194058i
$523$	17.0985	−	20.3773i	0.747667	−	0.891035i	−0.249334	−	0.968418i	$-0.580212\pi$
$523$	17.0985	−	20.3773i	0.747667	−	0.891035i	0.997001	+	0.0773823i	$0.0246562\pi$
$524$	37.2267	+	11.7524i	1.62626	+	0.513407i
$525$	13.1096	+	7.56882i	0.572149	+	0.330330i
$526$	6.61858	+	0.435013i	0.288584	+	0.0189675i
$527$	6.05151	+	34.3198i	0.263608	+	1.49499i
$528$	−0.883469	−	0.237413i	−0.0384480	−	0.0103321i
$529$	−6.99752	−	2.54689i	−0.304240	−	0.110734i
$530$	65.1149	−	18.9664i	2.82841	−	0.823849i
$531$			36.0960i			1.56643i
$532$	1.11105	−	31.5569i	0.0481699	−	1.36816i
$533$			2.08109i			0.0901422i
$534$	0.606956	+	2.08378i	0.0262656	+	0.0901741i
$535$	13.6184	+	4.95670i	0.588775	+	0.214297i
$536$	−0.384857	−	2.50956i	−0.0166233	−	0.108397i
$537$	−0.960634	−	5.44802i	−0.0414544	−	0.235100i
$538$	0.915994	−	13.9365i	0.0394913	−	0.600847i
$539$	−2.32551	−	1.34263i	−0.100167	−	0.0578313i
$540$	−6.48604	+	20.5450i	−0.279115	+	0.884117i
$541$	27.5103	−	32.7855i	1.18276	−	1.40956i	0.291200	−	0.956662i	$-0.405946\pi$
$541$	27.5103	−	32.7855i	1.18276	−	1.40956i	0.891562	−	0.452898i	$-0.149610\pi$
$542$	−10.1455	−	20.5825i	−0.435787	−	0.884093i
$543$	−1.71599	−	2.97217i	−0.0736400	−	0.127548i
$544$	−19.6804	−	32.4989i	−0.843792	−	1.39338i
$545$	−13.4125	+	4.88177i	−0.574530	+	0.209112i
$546$	1.99870	−	8.16158i	0.0855364	−	0.349283i
$547$	20.2198	+	3.56530i	0.864536	+	0.152441i	0.588294	−	0.808647i	$-0.299800\pi$
$547$	20.2198	+	3.56530i	0.864536	+	0.152441i	0.276242	+	0.961088i	$0.410911\pi$
$548$	0.131626	+	0.318101i	0.00562280	+	0.0135886i
$549$	−8.94313	−	10.6580i	−0.381683	−	0.454872i
$550$	−2.00503	+	4.55454i	−0.0854949	+	0.194206i
$551$	7.93975	−	8.08079i	0.338245	−	0.344253i
$552$	7.70375	−	2.61039i	0.327893	−	0.111105i
$553$	18.4006	−	15.4399i	0.782473	−	0.656573i
$554$	9.73916	−	10.1700i	0.413777	−	0.432080i
$555$	−11.0285	−	1.94463i	−0.468135	−	0.0825448i
$556$	−15.4181	−	11.8396i	−0.653871	−	0.502111i
$557$	−3.60818	−	9.91340i	−0.152884	−	0.420044i	0.839480	−	0.543390i	$-0.182860\pi$
$557$	−3.60818	−	9.91340i	−0.152884	−	0.420044i	−0.992364	+	0.123346i	$0.960637\pi$
$558$	−16.1477	+	11.8355i	−0.683586	+	0.501035i
$559$	0.601481	+	1.04180i	0.0254399	+	0.0440633i
$560$	−36.9378	−	36.9916i	−1.56091	−	1.56318i
$561$	1.17668	+	0.987354i	0.0496796	+	0.0416861i
$562$	2.07382	+	18.9678i	0.0874787	+	0.800107i
$563$	36.5165	+	21.0828i	1.53899	+	0.888534i	0.998898	+	0.0469245i	$0.0149420\pi$
$563$	36.5165	+	21.0828i	1.53899	+	0.888534i	0.540087	+	0.841609i	$0.318391\pi$
$564$	−2.23048	+	4.28091i	−0.0939202	+	0.180259i
$565$	−14.6577	+	2.58455i	−0.616654	+	0.108733i
$566$	16.2761	+	10.8796i	0.684135	+	0.457305i
$567$	−22.5630	−	8.21226i	−0.947557	−	0.344882i
$568$	−16.7809	−	10.1955i	−0.704113	−	0.427792i
$569$	8.23726			0.345324			0.172662	−	0.984981i	$-0.444763\pi$
$569$	8.23726			0.345324			0.172662	+	0.984981i	$0.444763\pi$
$570$	0.352796	+	11.5869i	0.0147770	+	0.485321i
$571$			13.0718i			0.547038i	0.961867	+	0.273519i	$0.0881877\pi$
$571$			13.0718i			0.547038i	−0.961867	+	0.273519i	$0.911812\pi$
$572$	2.73855	+	0.361550i	0.114505	+	0.0151172i
$573$	−2.48522	+	6.82809i	−0.103822	+	0.285248i
$574$	1.88217	−	2.81576i	0.0785602	−	0.117527i
$575$	−7.68338	−	43.5746i	−0.320419	−	1.81719i
$576$	11.7477	−	18.3959i	0.489487	−	0.766494i
$577$	14.4695	−	25.0619i	0.602374	−	1.04334i	−0.390087	−	0.920778i	$-0.627555\pi$
$577$	14.4695	−	25.0619i	0.602374	−	1.04334i	0.992461	−	0.122564i	$-0.0391116\pi$
$578$	4.32057	+	39.5172i	0.179712	+	1.64370i
$579$	−3.57247	+	4.25750i	−0.148467	+	0.176936i
$580$	−0.811273	−	18.7375i	−0.0336863	−	0.778033i
$581$	19.8224	−	11.4445i	0.822373	−	0.474797i
$582$	−2.08725	−	2.84774i	−0.0865195	−	0.118043i
$583$	5.48063	−	1.99479i	0.226985	−	0.0826156i
$584$	−8.30610	+	4.55099i	−0.343709	+	0.188321i
$585$	5.38048	−	30.5142i	0.222455	−	1.26161i
$586$	−9.15007	+	9.55481i	−0.377986	+	0.394705i
$587$	−27.2123	−	32.4304i	−1.12317	−	1.33855i	−0.934277	−	0.356548i	$-0.883954\pi$
$587$	−27.2123	−	32.4304i	−1.12317	−	1.33855i	−0.188896	−	0.981997i	$-0.560491\pi$
$588$	−4.70435	+	4.30760i	−0.194004	+	0.177642i
$589$	−12.8090	+	18.6403i	−0.527786	+	0.768061i
$590$	61.7862	+	27.2000i	2.54370	+	1.11981i
$591$	7.81667	−	6.55896i	0.321535	−	0.269800i
$592$	21.5813	+	10.0827i	0.886987	+	0.414394i
$593$	4.67524	−	26.5146i	0.191989	−	1.08882i	−0.724653	−	0.689114i	$-0.758000\pi$
$593$	4.67524	−	26.5146i	0.191989	−	1.08882i	0.916642	−	0.399710i	$-0.130889\pi$
$594$	−0.440701	+	1.79958i	−0.0180822	+	0.0738376i
$595$	30.0212	+	82.4825i	1.23075	+	3.38145i
$596$	−4.79912	−	21.6847i	−0.196580	−	0.888242i
$597$	4.51058	−	2.60419i	0.184606	−	0.106582i
$598$	−22.0300	+	10.8590i	−0.900875	+	0.444059i
$599$	21.1301	+	17.7303i	0.863354	+	0.724440i	0.962688	−	0.270614i	$-0.0872267\pi$
$599$	21.1301	+	17.7303i	0.863354	+	0.724440i	−0.0993337	+	0.995054i	$0.531671\pi$
$600$	8.88310	+	7.79885i	0.362651	+	0.318387i
$601$	16.5323	−	28.6348i	0.674367	−	1.16804i	−0.302287	−	0.953217i	$-0.597750\pi$
$601$	16.5323	−	28.6348i	0.674367	−	1.16804i	0.976654	−	0.214821i	$-0.0689167\pi$
$602$	0.128400	−	1.95356i	0.00523317	−	0.0796210i
$603$	−2.41188	+	0.425279i	−0.0982192	+	0.0173187i
$604$	26.0982	−	16.6130i	1.06192	−	0.675974i
$605$	13.3371	−	36.6433i	0.542230	−	1.48976i
$606$	−0.871567	+	0.253867i	−0.0354050	+	0.0103126i
$607$	40.8887			1.65962			0.829811	−	0.558045i	$-0.188448\pi$
$607$	40.8887			1.65962			0.829811	+	0.558045i	$0.188448\pi$
$608$	5.67151	−	23.9965i	0.230010	−	0.973188i
$609$	−4.90623			−0.198810
$610$	−24.9826	+	7.27683i	−1.01151	+	0.294630i
$611$	4.98520	−	13.6967i	0.201680	−	0.554110i
$612$	−30.9169	+	19.6805i	−1.24974	+	0.795535i
$613$	35.2118	−	6.20880i	1.42219	−	0.250771i	0.590962	−	0.806699i	$-0.298748\pi$
$613$	35.2118	−	6.20880i	1.42219	−	0.250771i	0.831230	+	0.555928i	$0.187637\pi$
$614$	−1.14867	+	17.4767i	−0.0463567	+	0.705302i
$615$	−0.621694	+	1.07681i	−0.0250691	+	0.0434210i
$616$	−3.37832	−	2.96597i	−0.136116	−	0.119502i
$617$	3.08965	+	2.59252i	0.124384	+	0.104371i	0.702858	−	0.711330i	$-0.251907\pi$
$617$	3.08965	+	2.59252i	0.124384	+	0.104371i	−0.578474	+	0.815701i	$0.696351\pi$
$618$	−5.60443	+	2.76253i	−0.225443	+	0.111125i
$619$	31.7781	−	18.3471i	1.27727	−	0.737432i	0.300924	−	0.953648i	$-0.402705\pi$
$619$	31.7781	−	18.3471i	1.27727	−	0.737432i	0.976346	+	0.216216i	$0.0693716\pi$
$620$	8.09096	+	36.5589i	0.324941	+	1.46824i
$621$	−5.63432	−	15.4802i	−0.226098	−	0.621198i
$622$	−4.46889	+	18.2485i	−0.179186	+	0.731697i
$623$	−1.85207	+	10.5036i	−0.0742016	+	0.420818i
$624$	2.77738	−	5.94482i	0.111184	−	0.237983i
$625$	−0.606854	+	0.509211i	−0.0242742	+	0.0203684i
$626$	−23.0976	−	10.1682i	−0.923164	−	0.406402i
$627$	0.0956244	+	0.992297i	0.00381887	+	0.0396285i
$628$	−15.7222	+	14.3963i	−0.627386	+	0.574474i
$629$	−25.7093	−	30.6392i	−1.02510	−	1.22166i
$630$	−34.8773	+	36.4201i	−1.38955	+	1.45101i
$631$	0.183226	−	1.03913i	0.00729412	−	0.0413670i	−0.980943	−	0.194293i	$-0.937759\pi$
$631$	0.183226	−	1.03913i	0.00729412	−	0.0413670i	0.988238	+	0.152926i	$0.0488697\pi$
$632$	16.4498	−	9.01301i	0.654338	−	0.358518i
$633$	3.78798	−	1.37871i	0.150559	−	0.0547989i
$634$	5.52515	+	7.53823i	0.219432	+	0.299381i
$635$	−20.1840	+	11.6532i	−0.800978	+	0.462445i
$636$	−0.599280	−	13.8412i	−0.0237630	−	0.548841i
$637$	12.3804	−	14.7543i	0.490527	−	0.584588i
$638$	−0.175297	−	1.60332i	−0.00694007	−	0.0634759i
$639$	−9.47037	+	16.4032i	−0.374642	+	0.648899i
$640$	−22.6361	−	33.9709i	−0.894772	−	1.34282i
$641$	−0.252757	−	1.43346i	−0.00998330	−	0.0566181i	0.979409	−	0.201885i	$-0.0647069\pi$
$641$	−0.252757	−	1.43346i	−0.00998330	−	0.0566181i	−0.989392	+	0.145267i	$0.953596\pi$
$642$	1.64519	−	2.46123i	0.0649304	−	0.0971370i
$643$	4.69667	−	12.9040i	0.185218	−	0.508884i	−0.811980	−	0.583685i	$-0.801610\pi$
$643$	4.69667	−	12.9040i	0.185218	−	0.508884i	0.997198	+	0.0748018i	$0.0238324\pi$
$644$	39.6281	+	5.23180i	1.56157	+	0.206162i
$645$			0.718732i			0.0283001i
$646$	−25.6354	+	32.5113i	−1.00861	+	1.27914i
$647$	−18.7166			−0.735825			−0.367913	−	0.929860i	$-0.619927\pi$
$647$	−18.7166			−0.735825			−0.367913	+	0.929860i	$0.619927\pi$
$648$	−16.0242	−	9.73571i	−0.629492	−	0.382455i
$649$	5.45537	+	1.98559i	0.214142	+	0.0779413i
$650$	−29.6744	−	19.8356i	−1.16393	−	0.778017i
$651$	9.64621	−	1.70089i	0.378065	−	0.0666630i
$652$	−13.4091	+	25.7358i	−0.525142	+	1.00789i
$653$	16.6282	+	9.60032i	0.650714	+	0.375690i	0.788730	−	0.614740i	$-0.210739\pi$
$653$	16.6282	+	9.60032i	0.650714	+	0.375690i	−0.138016	+	0.990430i	$0.544073\pi$
$654$	0.316897	+	2.89843i	0.0123916	+	0.113338i
$655$	−53.9505	−	45.2699i	−2.10802	−	1.76884i
$656$	1.87151	−	1.86879i	0.0730700	−	0.0729639i
$657$	4.56805	+	7.91210i	0.178217	+	0.308681i
$658$	−19.1326	+	14.0232i	−0.745865	+	0.546683i
$659$	0.514540	+	1.41369i	0.0200436	+	0.0550694i	0.949311	−	0.314339i	$-0.101783\pi$
$659$	0.514540	+	1.41369i	0.0200436	+	0.0550694i	−0.929267	+	0.369408i	$0.879560\pi$
$660$	1.30898	+	1.00517i	0.0509521	+	0.0391264i
$661$	−29.4696	−	5.19629i	−1.14624	−	0.202112i	−0.431904	−	0.901920i	$-0.642158\pi$
$661$	−29.4696	−	5.19629i	−1.14624	−	0.202112i	−0.714332	+	0.699807i	$0.753269\pi$
$662$	30.7089	−	32.0673i	1.19354	−	1.24633i
$663$	−8.43991	+	7.08193i	−0.327779	+	0.275039i
$664$	16.9283	−	5.73609i	0.656946	−	0.222603i
$665$	−23.6196	+	51.8391i	−0.915930	+	2.01023i
$666$	9.25805	−	21.0301i	0.358742	−	0.814901i
$667$	9.21806	+	10.9857i	0.356925	+	0.425366i
$668$	11.5616	+	27.9408i	0.447331	+	1.08106i
$669$	−3.15076	−	0.555563i	−0.121815	−	0.0214793i
$670$	−1.08950	+	4.44892i	−0.0420911	+	0.171877i
$671$	−2.10275	+	0.765337i	−0.0811756	+	0.0295455i
$672$	−9.13442	+	5.53155i	−0.352368	+	0.213384i
$673$	−24.4237	−	42.3031i	−0.941464	−	1.63066i	−0.762681	−	0.646775i	$-0.776117\pi$
$673$	−24.4237	−	42.3031i	−0.941464	−	1.63066i	−0.178783	−	0.983889i	$-0.557216\pi$
$674$	17.6981	+	35.9046i	0.681704	+	1.38299i
$675$	15.3887	−	18.3395i	0.592310	−	0.705887i
$676$	1.86259	−	5.89990i	0.0716381	−	0.226919i
$677$	16.9015	+	9.75807i	0.649576	+	0.375033i	0.788294	−	0.615299i	$-0.210965\pi$
$677$	16.9015	+	9.75807i	0.649576	+	0.375033i	−0.138718	+	0.990332i	$0.544298\pi$
$678$	−0.199404	+	3.03387i	−0.00765806	+	0.116515i
$679$	−3.01293	−	17.0872i	−0.115626	−	0.655747i
$680$	10.3901	+	67.7512i	0.398442	+	2.59814i
$681$	−11.0319	−	4.01529i	−0.422744	−	0.153866i
$682$	0.900490	+	3.09153i	0.0344816	+	0.118381i
$683$		−	28.6592i		−	1.09662i	−0.836277	−	0.548308i	$-0.815272\pi$
$683$		−	28.6592i		−	1.09662i	0.836277	−	0.548308i	$-0.184728\pi$
$684$	−23.2642	−	4.95192i	−0.889528	−	0.189342i
$685$		−	0.621071i		−	0.0237299i
$686$	4.33108	−	1.26154i	0.165361	−	0.0481658i
$687$	1.40700	+	0.512107i	0.0536804	+	0.0195381i
$688$	0.396757	−	1.47642i	0.0151262	−	0.0562880i
$689$	7.26429	+	41.1979i	0.276748	+	1.56951i
$690$	−14.6428	−	0.962414i	−0.557442	−	0.0366385i
$691$	−12.0352	−	6.94855i	−0.457842	−	0.264335i	0.253295	−	0.967389i	$-0.418486\pi$
$691$	−12.0352	−	6.94855i	−0.457842	−	0.264335i	−0.711136	+	0.703054i	$0.751819\pi$
$692$	−26.3115	−	8.30649i	−1.00021	−	0.315765i
$693$	−2.78746	+	3.32197i	−0.105887	+	0.126191i
$694$	12.1518	−	5.98984i	0.461275	−	0.227371i
$695$	17.5352	+	30.3719i	0.665148	+	1.15207i
$696$	−3.75719	−	0.749483i	−0.142416	−	0.0284091i
$697$	−4.17302	+	1.51885i	−0.158064	+	0.0575307i
$698$	−39.4400	−	9.65852i	−1.49283	−	0.365580i
$699$	−1.38613	−	0.244412i	−0.0524282	−	0.00924450i
$700$	22.2104	+	53.6759i	0.839475	+	2.02876i
$701$	2.84915	+	3.39548i	0.107611	+	0.128246i	0.817161	−	0.576409i	$-0.195546\pi$
$701$	2.84915	+	3.39548i	0.107611	+	0.128246i	−0.709551	+	0.704655i	$0.751102\pi$
$702$	−12.1627	−	5.35436i	−0.459052	−	0.202087i
$703$	2.03463	−	25.8779i	0.0767375	−	0.976002i
$704$	−2.13404	−	2.78742i	−0.0804295	−	0.105055i
$705$	6.67114	−	5.59775i	0.251250	−	0.210824i
$706$	18.6078	+	17.8196i	0.700313	+	0.670648i
$707$	−4.39326	−	0.774650i	−0.165225	−	0.0291337i
$708$	8.39901	−	10.9376i	0.315654	−	0.411059i
$709$	9.17608	+	25.2111i	0.344615	+	0.946822i	0.984037	+	0.177966i	$0.0569517\pi$
$709$	9.17608	+	25.2111i	0.344615	+	0.946822i	−0.639422	+	0.768856i	$0.720826\pi$
$710$	20.9412	+	28.5711i	0.785911	+	1.07226i
$711$	−9.04680	−	15.6695i	−0.339281	−	0.587653i
$712$	−3.02286	+	7.76074i	−0.113286	+	0.290846i
$713$	−21.9322	−	18.4033i	−0.821369	−	0.689211i
$714$	17.8243	−	1.94880i	0.667060	−	0.0729322i
$715$	−4.31579	−	2.49172i	−0.161401	−	0.0931852i
$716$	9.80927	−	18.8267i	0.366590	−	0.703587i
$717$	−3.84788	+	0.678484i	−0.143702	+	0.0253385i
$718$	17.9896	−	26.9127i	0.671365	−	1.00437i
$719$	−2.76943	−	1.00799i	−0.103282	−	0.0375916i	0.289862	−	0.957068i	$-0.406391\pi$
$719$	−2.76943	−	1.00799i	−0.103282	−	0.0375916i	−0.393144	+	0.919477i	$0.628613\pi$
$720$	−32.2727	+	22.5626i	−1.20273	+	0.840859i
$721$	−30.7053			−1.14352
$722$	−26.6553	+	3.39023i	−0.992008	+	0.126171i
$723$			10.8868i			0.404885i
$724$	1.72377	−	13.0567i	0.0640634	−	0.485247i
$725$	−7.12798	+	19.5840i	−0.264727	+	0.727330i
$726$	−6.62249	−	4.42675i	−0.245784	−	0.164292i
$727$	6.04291	+	34.2710i	0.224119	+	1.27104i	0.864362	+	0.502870i	$0.167722\pi$
$727$	6.04291	+	34.2710i	0.224119	+	1.27104i	−0.640243	+	0.768172i	$0.721166\pi$
$728$	25.1583	−	20.1692i	0.932430	−	0.747519i
$729$	−6.70932	+	11.6209i	−0.248493	+	0.430403i
$730$	16.9855	−	1.85709i	0.628663	−	0.0687341i
$731$	−1.65003	+	1.96643i	−0.0610286	+	0.0727310i
$732$	0.229925	+	5.31045i	0.00849827	+	0.196280i
$733$	−1.42948	+	0.825308i	−0.0527989	+	0.0304835i	−0.526167	−	0.850381i	$-0.676371\pi$
$733$	−1.42948	+	0.825308i	−0.0527989	+	0.0304835i	0.473368	+	0.880865i	$0.343038\pi$
$734$	10.6738	−	7.82340i	0.393979	−	0.288767i
$735$	10.8135	−	3.93579i	0.398862	−	0.145174i
$736$	29.5480	+	10.0602i	1.08915	+	0.370822i
$737$	−0.0683996	+	0.387913i	−0.00251953	+	0.0142890i
$738$	−1.84259	−	1.76454i	−0.0678268	−	0.0649536i
$739$	3.40363	+	4.05629i	0.125204	+	0.149213i	0.825005	−	0.565125i	$-0.191172\pi$
$739$	3.40363	+	4.05629i	0.125204	+	0.149213i	−0.699801	+	0.714338i	$0.746728\pi$
$740$	−29.0213	−	31.6944i	−1.06685	−	1.16511i
$741$	−7.12835	−	0.560461i	−0.261867	−	0.0205891i
$742$	27.4312	−	62.3114i	1.00703	−	2.28752i
$743$	19.8541	−	16.6596i	0.728376	−	0.611180i	−0.201313	−	0.979527i	$-0.564521\pi$
$743$	19.8541	−	16.6596i	0.728376	−	0.611180i	0.929688	+	0.368347i	$0.120076\pi$
$744$	7.64690	+	0.171028i	0.280349	+	0.00627020i
$745$	−6.95768	+	39.4590i	−0.254910	+	1.44567i
$746$	−14.9509	−	3.66134i	−0.547391	−	0.134051i
$747$	−5.89692	−	16.2016i	−0.215757	−	0.592787i
$748$	1.27371	+	5.75523i	0.0465714	+	0.210432i
$749$	12.5991	−	7.27411i	0.460362	−	0.265790i
$750$	−3.54960	−	7.20118i	−0.129613	−	0.262950i
$751$	9.20184	+	7.72126i	0.335780	+	0.281753i	0.795050	−	0.606544i	$-0.207445\pi$
$751$	9.20184	+	7.72126i	0.335780	+	0.281753i	−0.459270	+	0.888297i	$0.651889\pi$
$752$	−16.7939	+	7.81629i	−0.612412	+	0.285031i
$753$	3.06513	−	5.30896i	0.111700	−	0.193469i
$754$	11.5436	+	0.758717i	0.420394	+	0.0276308i
$755$	−54.9652	+	9.69185i	−2.00039	+	0.352723i
$756$	11.6138	+	18.2447i	0.422391	+	0.663553i
$757$	−18.1225	+	49.7911i	−0.658673	+	1.80969i	−0.0758026	+	0.997123i	$0.524152\pi$
$757$	−18.1225	+	49.7911i	−0.658673	+	1.80969i	−0.582870	+	0.812565i	$0.698070\pi$
$758$	−4.11889	−	14.1408i	−0.149605	−	0.513619i
$759$	−1.26195			−0.0458058
$760$	−26.0069	+	36.0902i	−0.943371	+	1.30913i
$761$	−5.98803			−0.217066			−0.108533	−	0.994093i	$-0.534615\pi$
$761$	−5.98803			−0.217066			−0.108533	+	0.994093i	$0.534615\pi$
$762$	1.33142	+	4.57100i	0.0482324	+	0.165590i
$763$	−4.90057	+	13.4642i	−0.177413	+	0.487437i
$764$	−23.5225	+	14.9735i	−0.851014	+	0.541721i
$765$	65.1140	−	11.4814i	2.35420	−	0.415109i
$766$	30.2912	+	1.99092i	1.09446	+	0.0719348i
$767$	−20.8203	+	36.0618i	−0.751777	+	1.30212i
$768$	−7.84016	+	2.84068i	−0.282907	+	0.102504i
$769$	26.6631	+	22.3730i	0.961495	+	0.806790i	0.981196	−	0.193016i	$-0.0618269\pi$
$769$	26.6631	+	22.3730i	0.961495	+	0.806790i	−0.0197007	+	0.999806i	$0.506271\pi$
$770$	3.58580	+	7.27461i	0.129223	+	0.262159i
$771$	12.8371	−	7.41149i	0.462316	−	0.266918i
$772$	−20.8237	+	4.60856i	−0.749460	+	0.165866i
$773$	3.40354	+	9.35115i	0.122417	+	0.336337i	0.985731	−	0.168330i	$-0.0538374\pi$
$773$	3.40354	+	9.35115i	0.122417	+	0.336337i	−0.863314	+	0.504667i	$0.831615\pi$
$774$	−1.43239	−	0.350780i	−0.0514863	−	0.0126085i
$775$	7.22508	−	40.9755i	0.259532	−	1.47188i
$776$	0.302958	−	13.5457i	0.0108756	−	0.486261i
$777$	−8.61171	+	7.22608i	−0.308943	+	0.259234i
$778$	10.6595	−	24.2137i	0.382163	−	0.868103i
$779$	−2.62268	−	1.19498i	−0.0939673	−	0.0428146i
$780$	−8.73057	+	7.99425i	−0.312604	+	0.286240i
$781$	1.95814	+	2.33362i	0.0700678	+	0.0835035i
$782$	−37.8528	−	36.2494i	−1.35361	−	1.29628i
$783$	−1.34739	+	7.64143i	−0.0481518	+	0.273082i
$784$	−24.3858	+	2.11561i	−0.870920	+	0.0755575i
$785$	36.1394	−	13.1537i	1.28987	−	0.469475i
$786$	−11.6036	+	8.50486i	−0.413886	+	0.303358i
$787$	32.6750	−	18.8649i	1.16474	−	0.672461i	0.212302	−	0.977204i	$-0.431904\pi$
$787$	32.6750	−	18.8649i	1.16474	−	0.672461i	0.952435	+	0.304743i	$0.0985707\pi$
$788$	39.1202	−	1.69378i	1.39360	−	0.0603383i
$789$	−1.57124	+	1.87253i	−0.0559377	+	0.0666639i
$790$	−33.6390	+	3.67788i	−1.19682	+	0.130853i
$791$	−7.47057	+	12.9394i	−0.265623	+	0.460072i
$792$	−2.64211	+	2.11815i	−0.0938833	+	0.0752652i
$793$	−2.78708	−	15.8063i	−0.0989722	−	0.561299i
$794$	−0.0276303	−	0.0184692i	−0.000980562	−	0.000655448i
$795$	−8.54850	+	23.4868i	−0.303184	+	0.832991i
$796$	19.8148	+	2.61600i	0.702318	+	0.0927217i
$797$			18.2325i			0.645830i	0.946428	+	0.322915i	$0.104663\pi$
$797$			18.2325i			0.645830i	−0.946428	+	0.322915i	$0.895337\pi$
$798$	9.13790	+	7.20529i	0.323478	+	0.255065i
$799$	31.1031			1.10035
$800$	8.80915	+	44.4979i	0.311451	+	1.57324i
$801$	7.54953	+	2.74780i	0.266749	+	0.0970889i
$802$	9.96663	−	14.9102i	0.351934	−	0.526499i
$803$	1.44708	−	0.255159i	0.0510663	−	0.00900437i
$804$	0.829787	+	0.432343i	0.0292643	+	0.0152476i
$805$	−62.4515	−	36.0564i	−2.20112	−	1.27082i
$806$	−22.9591	+	2.51021i	−0.808700	+	0.0884183i
$807$	3.94294	+	3.30852i	0.138798	+	0.116465i
$808$	−3.24602	−	1.26435i	−0.114195	−	0.0444796i
$809$	−18.6895	−	32.3711i	−0.657086	−	1.13811i	−0.981366	−	0.192146i	$-0.938455\pi$
$809$	−18.6895	−	32.3711i	−0.657086	−	1.13811i	0.324280	−	0.945961i	$-0.394878\pi$
$810$	19.9969	+	27.2828i	0.702621	+	0.958620i
$811$	2.07199	+	5.69274i	0.0727574	+	0.199899i	0.970741	−	0.240130i	$-0.0771902\pi$
$811$	2.07199	+	5.69274i	0.0727574	+	0.199899i	−0.897983	+	0.440030i	$0.854968\pi$
$812$	−14.9325	−	11.4668i	−0.524030	−	0.402405i
$813$	8.32826	+	1.46850i	0.292085	+	0.0515024i
$814$	−2.66912	−	2.55606i	−0.0935526	−	0.0895897i
$815$	40.1053	−	33.6523i	1.40483	−	1.17879i
$816$	13.9476	+	1.23048i	0.488264	+	0.0430753i
$817$	−1.65829	+	0.159804i	−0.0580162	+	0.00559083i
$818$	−13.6060	−	5.98974i	−0.475723	−	0.209426i
$819$	−19.9934	−	23.8273i	−0.698627	−	0.832592i
$820$	−4.40888	+	1.82434i	−0.153965	+	0.0637087i
$821$	−3.02314	−	0.533062i	−0.105508	−	0.0186040i	0.120645	−	0.992696i	$-0.461504\pi$
$821$	−3.02314	−	0.533062i	−0.105508	−	0.0186040i	−0.226153	+	0.974092i	$0.572615\pi$
$822$	−0.123229	−	0.0301776i	−0.00429810	−	0.00105257i
$823$	−43.8007	+	15.9421i	−1.52680	+	0.555708i	−0.962834	−	0.270093i	$-0.912945\pi$
$823$	−43.8007	+	15.9421i	−1.52680	+	0.555708i	−0.563961	+	0.825801i	$0.690723\pi$
$824$	−23.5141	−	4.69058i	−0.819154	−	0.163404i
$825$	−0.916969	−	1.58824i	−0.0319248	−	0.0552953i
$826$	60.7850	−	29.9621i	2.11498	−	1.04252i
$827$	−2.44449	+	2.91324i	−0.0850034	+	0.101303i	−0.806870	−	0.590729i	$-0.798840\pi$
$827$	−2.44449	+	2.91324i	−0.0850034	+	0.101303i	0.721866	+	0.692033i	$0.243285\pi$
$828$	9.06452	−	28.7126i	0.315014	−	0.997831i
$829$	−0.877638	−	0.506704i	−0.0304816	−	0.0175986i	0.484682	−	0.874691i	$-0.338935\pi$
$829$	−0.877638	−	0.506704i	−0.0304816	−	0.0175986i	−0.515163	+	0.857092i	$0.672269\pi$
$830$	−32.1763	−	2.11482i	−1.11685	−	0.0734064i
$831$	0.901122	+	5.11051i	0.0312596	+	0.177282i
$832$	22.3474	−	11.6023i	0.774755	−	0.402239i
$833$	38.6210	+	14.0569i	1.33814	+	0.487043i
$834$	6.87821	−	2.00346i	0.238173	−	0.0693741i
$835$		−	54.5526i		−	1.88787i
$836$	−2.02814	+	3.24364i	−0.0701447	+	0.112183i
$837$		−	15.4910i		−	0.535448i
$838$	12.0243	+	41.2814i	0.415372	+	1.42604i
$839$	−13.3269	−	4.85058i	−0.460095	−	0.167461i	0.101565	−	0.994829i	$-0.467615\pi$
$839$	−13.3269	−	4.85058i	−0.460095	−	0.167461i	−0.561660	+	0.827368i	$0.689837\pi$
$840$	19.0427	−	2.92033i	0.657037	−	0.100761i
$841$	3.86286	+	21.9074i	0.133202	+	0.755426i
$842$	−3.02213	+	45.9807i	−0.104149	+	1.58460i
$843$	−6.08978	−	3.51594i	−0.209743	−	0.121095i
$844$	14.7514	+	4.65698i	0.507762	+	0.160300i
$845$	−7.17462	+	8.55038i	−0.246815	+	0.294142i
$846$	7.90012	+	16.0272i	0.271612	+	0.551027i
$847$	−19.5726	−	33.9008i	−0.672523	−	1.16484i
$848$	30.5256	−	43.5277i	1.04825	−	1.49475i
$849$	−6.77980	+	2.46765i	−0.232682	+	0.0846894i
$850$	18.1170	−	73.9799i	0.621409	−	2.53749i
$851$	32.3602	+	5.70597i	1.10929	+	0.195598i
$852$	6.68643	−	2.76676i	0.229073	−	0.0947877i
$853$	−10.9246	−	13.0194i	−0.374050	−	0.445775i	0.545877	−	0.837865i	$-0.316197\pi$
$853$	−10.9246	−	13.0194i	−0.374050	−	0.445775i	−0.919927	+	0.392090i	$0.871752\pi$
$854$	−10.5245	+	23.9069i	−0.360141	+	0.818078i
$855$	35.3658	+	24.3022i	1.20948	+	0.831118i
$856$	10.7596	−	3.64586i	0.367757	−	0.124613i
$857$	7.76836	−	6.51843i	0.265362	−	0.222665i	−0.500392	−	0.865799i	$-0.666811\pi$
$857$	7.76836	−	6.51843i	0.265362	−	0.222665i	0.765754	+	0.643134i	$0.222366\pi$
$858$	−0.704094	+	0.735239i	−0.0240374	+	0.0251006i
$859$	16.0564	+	2.83118i	0.547839	+	0.0965988i	0.440715	−	0.897647i	$-0.354725\pi$
$859$	16.0564	+	2.83118i	0.547839	+	0.0965988i	0.107124	+	0.994246i	$0.465836\pi$
$860$	−1.67981	+	2.18752i	−0.0572811	+	0.0745940i
$861$	0.426902	+	1.17290i	0.0145488	+	0.0399724i
$862$	−35.3792	+	25.9312i	−1.20502	+	0.883220i
$863$	19.8160	+	34.3223i	0.674545	+	1.16835i	0.976602	+	0.215056i	$0.0689933\pi$
$863$	19.8160	+	34.3223i	0.674545	+	1.16835i	−0.302057	+	0.953290i	$0.597673\pi$
$864$	6.10679	+	15.7459i	0.207757	+	0.535688i
$865$	38.1317	+	31.9963i	1.29652	+	1.08791i
$866$	−4.29806	−	39.3114i	−0.146054	−	1.33585i
$867$	−12.6874	−	7.32506i	−0.430886	−	0.248772i
$868$	33.3344	+	17.3682i	1.13144	+	0.589515i
$869$	−2.86587	+	0.505329i	−0.0972178	+	0.0171421i
$870$	5.74628	+	3.84105i	0.194817	+	0.130224i
$871$	−2.65489	−	0.966303i	−0.0899577	−	0.0327419i
$872$	−5.80967	+	9.56228i	−0.196740	+	0.323820i
$873$	−13.0697			−0.442343
$874$	−1.03518	−	33.9985i	−0.0350155	−	1.15002i
$875$		−	39.4535i		−	1.33377i
$876$	0.456849	−	3.46039i	0.0154355	−	0.116916i
$877$	−2.92760	+	8.04352i	−0.0988581	+	0.271610i	−0.979257	−	0.202624i	$-0.935053\pi$
$877$	−2.92760	+	8.04352i	−0.0988581	+	0.271610i	0.880398	+	0.474235i	$0.157275\pi$
$878$	19.4762	−	29.1367i	0.657290	−	0.983317i
$879$	−0.846616	−	4.80140i	−0.0285556	−	0.161947i
$880$	1.63473	+	6.11867i	0.0551066	+	0.206260i
$881$	10.6857	−	18.5082i	0.360010	−	0.623556i	−0.627952	−	0.778252i	$-0.716107\pi$
$881$	10.6857	−	18.5082i	0.360010	−	0.623556i	0.987962	+	0.154696i	$0.0494399\pi$
$882$	2.56624	+	23.4716i	0.0864097	+	0.790329i
$883$	−18.3568	+	21.8768i	−0.617755	+	0.736212i	−0.980683	−	0.195605i	$-0.937333\pi$
$883$	−18.3568	+	21.8768i	−0.617755	+	0.736212i	0.362927	+	0.931817i	$0.381777\pi$
$884$	−42.2394	+	1.82883i	−1.42066	+	0.0615101i
$885$	−21.5458	+	12.4395i	−0.724254	+	0.418148i
$886$	4.37954	+	5.97522i	0.147134	+	0.200741i
$887$	−43.5438	+	15.8486i	−1.46206	+	0.532146i	−0.945931	−	0.324367i	$-0.894849\pi$
$887$	−43.5438	+	15.8486i	−1.46206	+	0.532146i	−0.516127	+	0.856512i	$0.672627\pi$
$888$	−7.69872	+	4.21820i	−0.258352	+	0.141554i
$889$	−4.06272	+	23.0408i	−0.136259	+	0.772764i
$890$	10.3924	−	10.8521i	0.348353	−	0.363762i
$891$	1.86984	+	2.22839i	0.0626421	+	0.0746539i
$892$	−8.29115	−	9.05481i	−0.277608	−	0.303177i
$893$	14.3986	+	14.1473i	0.481832	+	0.473422i
$894$	7.49112	+	3.29780i	0.250540	+	0.110295i
$895$	−29.3385	+	24.6180i	−0.980679	+	0.822887i
$896$	−40.7297	−	4.51308i	−1.36068	−	0.150772i
$897$	1.57177	−	8.91397i	0.0524800	−	0.297629i
$898$	8.56166	−	34.9611i	0.285706	−	1.16667i
$899$	4.61226	+	12.6721i	0.153827	+	0.422638i
$900$	42.7230	−	9.45518i	1.42410	−	0.315173i
$901$	−77.3083	+	44.6340i	−2.57551	+	1.48697i
$902$	−0.368042	+	0.181415i	−0.0122545	+	0.00604047i
$903$	0.552701	+	0.463772i	0.0183928	+	0.0154334i
$904$	−7.69761	+	8.76779i	−0.256019	+	0.291613i
$905$	−11.8798	+	20.5765i	−0.394899	+	0.683985i
$906$	−0.747749	+	11.3768i	−0.0248423	+	0.377968i
$907$	49.7852	−	8.77847i	1.65309	−	0.291484i	0.732137	−	0.681158i	$-0.238523\pi$
$907$	49.7852	−	8.77847i	1.65309	−	0.291484i	0.920953	+	0.389674i	$0.127412\pi$
$908$	−24.1921	−	38.0045i	−0.802844	−	1.26122i
$909$	−1.14930	+	3.15768i	−0.0381199	+	0.104734i
$910$	−55.8515	+	16.2682i	−1.85146	+	0.539286i
$911$	−35.4145			−1.17333			−0.586667	−	0.809828i	$-0.699560\pi$
$911$	−35.4145			−1.17333			−0.586667	+	0.809828i	$0.699560\pi$
$912$	5.89712	+	6.91374i	0.195273	+	0.228937i
$913$	−2.77302			−0.0917735
$914$	−49.2378	+	14.3418i	−1.62864	+	0.474385i
$915$	3.27979	−	9.01116i	0.108427	−	0.297900i
$916$	3.08544	+	4.84706i	0.101946	+	0.160152i
$917$	−69.6246	+	12.2767i	−2.29921	+	0.405412i
$918$	1.85982	−	28.2965i	0.0613831	−	0.933924i
$919$	10.2605	−	17.7717i	0.338462	−	0.586233i	−0.645682	−	0.763607i	$-0.723427\pi$
$919$	10.2605	−	17.7717i	0.338462	−	0.586233i	0.984144	+	0.177374i	$0.0567601\pi$
$920$	−42.3173	−	37.1522i	−1.39516	−	1.22487i
$921$	−4.94452	−	4.14894i	−0.162927	−	0.136712i
$922$	−2.69529	+	1.32856i	−0.0887645	+	0.0437538i
$923$	−18.9228	+	10.9251i	−0.622851	+	0.359603i
$924$	1.61761	−	0.357999i	0.0532156	−	0.0117773i
$925$	16.3326	+	44.8733i	0.537011	+	1.47543i
$926$	−3.49448	+	14.2695i	−0.114836	+	0.468926i
$927$	−4.01634	+	22.7778i	−0.131914	+	0.748121i
$928$	−9.68367	−	11.0624i	−0.317882	−	0.363140i
$929$	15.6951	−	13.1697i	0.514938	−	0.432085i	−0.347925	−	0.937523i	$-0.613113\pi$
$929$	15.6951	−	13.1697i	0.514938	−	0.432085i	0.862863	+	0.505438i	$0.168669\pi$
$930$	−12.6295	−	5.55984i	−0.414136	−	0.182314i
$931$	11.4851	+	24.0743i	0.376410	+	0.789003i
$932$	−3.64757	−	3.98353i	−0.119480	−	0.130485i
$933$	−4.45057	−	5.30398i	−0.145705	−	0.173645i
$934$	26.7349	−	27.9174i	0.874792	−	0.913487i
$935$	1.84660	−	10.4726i	0.0603903	−	0.342490i
$936$	−11.6711	−	21.3012i	−0.381482	−	0.696250i
$937$	48.0662	−	17.4947i	1.57025	−	0.571526i	0.597198	−	0.802094i	$-0.296281\pi$
$937$	48.0662	−	17.4947i	1.57025	−	0.571526i	0.973056	+	0.230569i	$0.0740586\pi$
$938$	2.71818	+	3.70855i	0.0887518	+	0.121088i
$939$	8.05447	−	4.65025i	0.262848	−	0.151755i
$940$	33.3872	−	1.44555i	1.08897	−	0.0471488i
$941$	5.29132	−	6.30595i	0.172492	−	0.205568i	−0.672872	−	0.739759i	$-0.734939\pi$
$941$	5.29132	−	6.30595i	0.172492	−	0.205568i	0.845364	+	0.534191i	$0.179384\pi$
$942$	−0.853862	−	7.80968i	−0.0278203	−	0.254453i
$943$	1.82419	−	3.15959i	0.0594038	−	0.102890i
$944$	51.1263	−	13.6594i	1.66402	−	0.444576i
$945$	−6.77537	−	38.4251i	−0.220403	−	1.24997i
$946$	−0.131809	+	0.197189i	−0.00428549	+	0.00641116i
$947$	5.52282	−	15.1738i	0.179467	−	0.493083i	−0.817041	−	0.576580i	$-0.804387\pi$
$947$	5.52282	−	15.1738i	0.179467	−	0.493083i	0.996508	+	0.0834975i	$0.0266090\pi$
$948$	−0.904767	+	6.85313i	−0.0293855	+	0.222579i
$949$			10.5395i			0.342126i
$950$	42.0370	−	26.0072i	1.36386	−	0.843784i
$951$	−3.44438			−0.111692
$952$	58.8047	+	35.7275i	1.90587	+	1.15793i
$953$	27.6668	+	10.0699i	0.896214	+	0.326195i	0.748735	−	0.662870i	$-0.230662\pi$
$953$	27.6668	+	10.0699i	0.896214	+	0.326195i	0.147479	+	0.989065i	$0.452884\pi$
$954$	−42.6358	−	28.4995i	−1.38038	−	0.922706i
$955$	49.5407	−	8.73535i	1.60310	−	0.282669i
$956$	−13.2971	−	6.92818i	−0.430059	−	0.224073i
$957$	0.514760	+	0.297197i	0.0166398	+	0.00960702i
$958$	−6.21870	−	56.8781i	−0.200917	−	1.83765i
$959$	−0.477600	−	0.400754i	−0.0154225	−	0.0129410i
$960$	15.0291	+	0.672607i	0.485061	+	0.0217083i
$961$	2.03863	+	3.53100i	0.0657621	+	0.113903i
$962$	21.3795	−	15.6701i	0.689304	−	0.505226i
$963$	−3.74808	−	10.2978i	−0.120780	−	0.331841i
$964$	−25.4445	+	33.1349i	−0.819512	+	1.06720i
$965$	37.8921	+	6.68140i	1.21979	+	0.215082i
$966$	−10.1886	+	10.6392i	−0.327812	+	0.342312i
$967$	26.9862	−	22.6441i	0.867818	−	0.728186i	−0.0958196	−	0.995399i	$-0.530547\pi$
$967$	26.9862	−	22.6441i	0.867818	−	0.728186i	0.963637	+	0.267213i	$0.0861028\pi$
$968$	−9.80999	−	28.9512i	−0.315305	−	0.930526i
$969$	−4.07868	−	14.7028i	−0.131026	−	0.472323i
$970$	−9.84864	+	22.3717i	−0.316221	+	0.718312i
$971$	22.9117	+	27.3051i	0.735272	+	0.876263i	0.996019	−	0.0891439i	$-0.0284131\pi$
$971$	22.9117	+	27.3051i	0.735272	+	0.876263i	−0.260746	+	0.965407i	$0.583969\pi$
$972$	22.9370	−	9.49105i	0.735704	−	0.304425i
$973$	34.6706	+	6.11337i	1.11149	+	0.195986i
$974$	−8.30448	+	33.9109i	−0.266093	+	1.08658i
$975$	12.3609	−	4.49899i	0.395865	−	0.144083i
$976$	−11.7117	+	16.7002i	−0.374883	+	0.534561i
$977$	23.8606	+	41.3278i	0.763369	+	1.32219i	0.941105	+	0.338115i	$0.109789\pi$
$977$	23.8606	+	41.3278i	0.763369	+	1.32219i	−0.177736	+	0.984078i	$0.556877\pi$
$978$	−4.72837	−	9.59259i	−0.151197	−	0.306737i
$979$	0.830579	−	0.989845i	0.0265454	−	0.0316356i
$980$	42.1105	+	13.2942i	1.34517	+	0.424669i
$981$	9.34701	+	5.39650i	0.298427	+	0.172297i
$982$	3.53751	−	53.8221i	0.112887	−	1.71753i
$983$	0.872531	+	4.94837i	0.0278294	+	0.157829i	0.995556	−	0.0941755i	$-0.0300215\pi$
$983$	0.872531	+	4.94837i	0.0278294	+	0.157829i	−0.967726	+	0.252004i	$0.918910\pi$
$984$	0.147747	+	0.963424i	0.00471001	+	0.0307128i
$985$	−66.3820	−	24.1611i	−2.11511	−	0.769836i
$986$	6.90355	+	23.7011i	0.219854	+	0.754795i
$987$		−	8.74210i		−	0.278264i
$988$	−20.3859	−	18.3661i	−0.648561	−	0.584303i
$989$		−	2.10892i		−	0.0670598i
$990$	5.86548	−	1.70848i	0.186417	−	0.0542989i
$991$	−9.63806	−	3.50797i	−0.306163	−	0.111434i	0.184370	−	0.982857i	$-0.440976\pi$
$991$	−9.63806	−	3.50797i	−0.306163	−	0.111434i	−0.490533	+	0.871423i	$0.663198\pi$
$992$	22.8743	+	18.3928i	0.726260	+	0.583971i
$993$	2.84136	+	16.1142i	0.0901679	+	0.511368i
$994$	35.4837	+	2.33220i	1.12547	+	0.0739730i
$995$	−31.2270	−	18.0289i	−0.989961	−	0.571554i
$996$	−1.98304	+	6.28144i	−0.0628351	+	0.199035i
$997$	−10.2645	+	12.2327i	−0.325079	+	0.387414i	−0.903688	−	0.428191i	$-0.859151\pi$
$997$	−10.2645	+	12.2327i	−0.325079	+	0.387414i	0.578610	+	0.815605i	$0.303596\pi$
$998$	44.3125	−	21.8425i	1.40269	−	0.691412i
$999$	8.88957	+	15.3972i	0.281253	+	0.487145i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	152.2.t.a.101.1	✓	108
4.3	odd	2		608.2.bf.a.177.9		108
8.3	odd	2		608.2.bf.a.177.10		108
8.5	even	2	inner	152.2.t.a.101.8	yes	108
19.16	even	9	inner	152.2.t.a.149.8	yes	108
76.35	odd	18		608.2.bf.a.529.10		108
152.35	odd	18		608.2.bf.a.529.9		108
152.149	even	18	inner	152.2.t.a.149.1	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
152.2.t.a.101.1	✓	108	1.1	even	1	trivial
152.2.t.a.101.8	yes	108	8.5	even	2	inner
152.2.t.a.149.1	yes	108	152.149	even	18	inner
152.2.t.a.149.8	yes	108	19.16	even	9	inner
608.2.bf.a.177.9		108	4.3	odd	2
608.2.bf.a.177.10		108	8.3	odd	2
608.2.bf.a.529.9		108	152.35	odd	18
608.2.bf.a.529.10		108	76.35	odd	18

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:	\( N \)	\(=\)	\( 152 = 2^{3} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	152.t (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.35779 + 0.395491i) q^{2} +(0.178255 - 0.489751i) q^{3} +(1.68717 - 1.07399i) q^{4} +(-3.55335 + 0.626551i) q^{5} +(-0.0483399 + 0.735476i) q^{6} +(-1.81103 + 3.13680i) q^{7} +(-1.86607 + 2.12551i) q^{8} +(2.09005 + 1.75376i) q^{9} +(4.57690 - 2.25604i) q^{10} +(0.380026 - 0.219408i) q^{11} +(-0.225239 - 1.01774i) q^{12} +(1.07650 + 2.95765i) q^{13} +(1.21842 - 4.97535i) q^{14} +(-0.326547 + 1.85194i) q^{15} +(1.69311 - 3.62400i) q^{16} +(-5.14502 + 4.31719i) q^{17} +(-3.53144 - 1.55464i) q^{18} +(-4.34549 - 0.341661i) q^{19} +(-5.32221 + 4.87335i) q^{20} +(1.21343 + 1.44610i) q^{21} +(-0.429220 + 0.448206i) q^{22} +(0.958164 - 5.43402i) q^{23} +(0.708333 + 1.29279i) q^{24} +(7.53526 - 2.74261i) q^{25} +(-2.63138 - 3.59011i) q^{26} +(2.58554 - 1.49276i) q^{27} +(0.313353 + 7.23735i) q^{28} +(-1.67059 + 1.99093i) q^{29} +(-0.289045 - 2.64369i) q^{30} +(2.59436 - 4.49356i) q^{31} +(-0.865621 + 5.59023i) q^{32} +(-0.0397139 - 0.225229i) q^{33} +(5.27844 - 7.89664i) q^{34} +(4.46986 - 12.2808i) q^{35} +(5.40980 + 0.714214i) q^{36} +5.95511i q^{37} +(6.03537 - 1.25470i) q^{38} +1.64040 q^{39} +(5.29906 - 8.72186i) q^{40} +(0.621322 + 0.226143i) q^{41} +(-2.21950 - 1.48360i) q^{42} +(0.376394 - 0.0663684i) q^{43} +(0.405528 - 0.778322i) q^{44} +(-8.52551 - 4.92220i) q^{45} +(0.848123 + 7.75718i) q^{46} +(-3.54751 - 2.97672i) q^{47} +(-1.47305 - 1.47520i) q^{48} +(-3.05967 - 5.29950i) q^{49} +(-9.14661 + 6.70401i) q^{50} +(1.19722 + 3.28934i) q^{51} +(4.99271 + 3.83393i) q^{52} +(13.0892 + 2.30798i) q^{53} +(-2.92024 + 3.04941i) q^{54} +(-1.21289 + 1.01774i) q^{55} +(-3.28777 - 9.70285i) q^{56} +(-0.941933 + 2.06730i) q^{57} +(1.48091 - 3.36397i) q^{58} +(8.50400 + 10.1347i) q^{59} +(1.43802 + 3.47526i) q^{60} +(-5.02192 - 0.885501i) q^{61} +(-1.74542 + 7.12734i) q^{62} +(-9.28635 + 3.37995i) q^{63} +(-1.03556 - 7.93269i) q^{64} +(-5.67829 - 9.83508i) q^{65} +(0.142999 + 0.290106i) q^{66} +(-0.576990 + 0.687630i) q^{67} +(-4.04395 + 12.8095i) q^{68} +(-2.49052 - 1.43790i) q^{69} +(-1.21216 + 18.4426i) q^{70} +(1.20549 + 6.83668i) q^{71} +(-7.62782 + 1.16978i) q^{72} +(3.14662 + 1.14528i) q^{73} +(-2.35519 - 8.08578i) q^{74} -4.17929i q^{75} +(-7.69853 + 4.09055i) q^{76} +1.58942i q^{77} +(-2.22732 + 0.648765i) q^{78} +(-6.23172 - 2.26816i) q^{79} +(-3.74558 + 13.9382i) q^{80} +(1.15113 + 6.52839i) q^{81} +(-0.933060 - 0.0613263i) q^{82} +(-5.47269 - 3.15966i) q^{83} +(3.60035 + 1.13663i) q^{84} +(15.5771 - 18.5641i) q^{85} +(-0.484815 + 0.238975i) q^{86} +(0.677270 + 1.17307i) q^{87} +(-0.242802 + 1.21718i) q^{88} +(2.76705 - 1.00712i) q^{89} +(13.5225 + 3.31154i) q^{90} +(-11.2271 - 1.97964i) q^{91} +(-4.21947 - 10.1972i) q^{92} +(-1.73827 - 2.07159i) q^{93} +(5.99403 + 2.63874i) q^{94} +(15.6551 - 1.50863i) q^{95} +(2.58352 + 1.42042i) q^{96} +(-3.66959 + 3.07915i) q^{97} +(6.25029 + 5.98553i) q^{98} +(1.17906 + 0.207901i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26}+ \cdots + 93 q^{98}+O(q^{100}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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