LMFDB - Embedded newform 152.2.t.a.101.3

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			101.3
Character	$\chi$	$=$	152.101
Dual form			152.2.t.a.149.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.30757 - 0.538767i) q^{2} +(0.256004 - 0.703365i) q^{3} +(1.41946 + 1.40895i) q^{4} +(2.14263 - 0.377803i) q^{5} +(-0.713692 + 0.781770i) q^{6} +(-0.852529 + 1.47662i) q^{7} +(-1.09695 - 2.60705i) q^{8} +(1.86895 + 1.56823i) q^{9} +(-3.00518 - 0.660374i) q^{10} +(1.53231 - 0.884678i) q^{11} +(1.35439 - 0.637703i) q^{12} +(-0.842256 - 2.31408i) q^{13} +(1.91029 - 1.47147i) q^{14} +(0.282787 - 1.60377i) q^{15} +(0.0297364 + 3.99989i) q^{16} +(4.93464 - 4.14065i) q^{17} +(-1.59886 - 3.05750i) q^{18} +(-2.87718 - 3.27442i) q^{19} +(3.57368 + 2.48257i) q^{20} +(0.820354 + 0.977660i) q^{21} +(-2.48023 + 0.331219i) q^{22} +(-0.437651 + 2.48204i) q^{23} +(-2.11453 + 0.104138i) q^{24} +(-0.250347 + 0.0911189i) q^{25} +(-0.145444 + 3.47959i) q^{26} +(3.52617 - 2.03584i) q^{27} +(-3.29061 + 0.894840i) q^{28} +(-4.76000 + 5.67275i) q^{29} +(-1.23382 + 1.94468i) q^{30} +(-3.22845 + 5.59184i) q^{31} +(2.11613 - 5.24614i) q^{32} +(-0.229975 - 1.30425i) q^{33} +(-8.68322 + 2.75556i) q^{34} +(-1.26878 + 3.48594i) q^{35} +(0.443340 + 4.85930i) q^{36} +1.77042i q^{37} +(1.99796 + 5.83165i) q^{38} -1.84326 q^{39} +(-3.33530 - 5.17151i) q^{40} +(3.26449 + 1.18818i) q^{41} +(-0.545937 - 1.72033i) q^{42} +(-7.28735 + 1.28496i) q^{43} +(3.42151 + 0.903174i) q^{44} +(4.59695 + 2.65405i) q^{45} +(1.90950 - 3.00964i) q^{46} +(-6.49519 - 5.45011i) q^{47} +(2.82099 + 1.00307i) q^{48} +(2.04639 + 3.54445i) q^{49} +(0.376437 + 0.0157347i) q^{50} +(-1.64910 - 4.53087i) q^{51} +(2.06487 - 4.47144i) q^{52} +(-1.97670 - 0.348545i) q^{53} +(-5.70755 + 0.762207i) q^{54} +(2.94893 - 2.47444i) q^{55} +(4.78481 + 0.602811i) q^{56} +(-3.03968 + 1.18545i) q^{57} +(9.28031 - 4.85297i) q^{58} +(1.57580 + 1.87796i) q^{59} +(2.66103 - 1.87805i) q^{60} +(0.728234 + 0.128407i) q^{61} +(7.23411 - 5.57232i) q^{62} +(-3.90902 + 1.42277i) q^{63} +(-5.59342 + 5.71958i) q^{64} +(-2.67891 - 4.64000i) q^{65} +(-0.401980 + 1.82930i) q^{66} +(-2.24658 + 2.67737i) q^{67} +(12.8385 + 1.07515i) q^{68} +(1.63374 + 0.943240i) q^{69} +(3.53712 - 3.87452i) q^{70} +(-1.73545 - 9.84225i) q^{71} +(2.03833 - 6.59271i) q^{72} +(-14.9953 - 5.45784i) q^{73} +(0.953844 - 2.31494i) q^{74} +0.199412i q^{75} +(0.529433 - 8.70171i) q^{76} +3.01685i q^{77} +(2.41019 + 0.993089i) q^{78} +(9.21773 + 3.35498i) q^{79} +(1.57488 + 8.55904i) q^{80} +(0.741748 + 4.20666i) q^{81} +(-3.62839 - 3.31242i) q^{82} +(10.5599 + 6.09674i) q^{83} +(-0.213011 + 2.54358i) q^{84} +(9.00874 - 10.7362i) q^{85} +(10.2210 + 2.24602i) q^{86} +(2.77143 + 4.80026i) q^{87} +(-3.98725 - 3.02436i) q^{88} +(-0.460676 + 0.167672i) q^{89} +(-4.58090 - 5.94703i) q^{90} +(4.13507 + 0.729125i) q^{91} +(-4.11829 + 2.90653i) q^{92} +(3.10661 + 3.70231i) q^{93} +(5.55656 + 10.6258i) q^{94} +(-7.40182 - 5.92885i) q^{95} +(-3.14821 - 2.83144i) q^{96} +(5.74523 - 4.82082i) q^{97} +(-0.766158 - 5.73713i) q^{98} +(4.25119 + 0.749599i) 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 $

$2$	−1.30757	−	0.538767i	−0.924589	−	0.380966i
$2$	−1.30757	−	0.538767i	−0.924589	−	0.380966i
$3$	0.256004	−	0.703365i	0.147804	−	0.406088i	−0.843592	−	0.536984i	$-0.819563\pi$
$3$	0.256004	−	0.703365i	0.147804	−	0.406088i	0.991396	+	0.130897i	$0.0417856\pi$
$4$	1.41946	+	1.40895i	0.709730	+	0.704474i
$5$	2.14263	−	0.377803i	0.958212	−	0.168959i	0.327393	−	0.944888i	$-0.393830\pi$
$5$	2.14263	−	0.377803i	0.958212	−	0.168959i	0.630819	+	0.775930i	$0.282719\pi$
$6$	−0.713692	+	0.781770i	−0.291363	+	0.319156i
$7$	−0.852529	+	1.47662i	−0.322226	+	0.558111i	−0.980947	−	0.194276i	$-0.937764\pi$
$7$	−0.852529	+	1.47662i	−0.322226	+	0.558111i	0.658721	+	0.752387i	$0.271098\pi$
$8$	−1.09695	−	2.60705i	−0.387829	−	0.921731i
$9$	1.86895	+	1.56823i	0.622983	+	0.522745i
$10$	−3.00518	−	0.660374i	−0.950320	−	0.208829i
$11$	1.53231	−	0.884678i	0.462008	−	0.266740i	−0.250880	−	0.968018i	$-0.580720\pi$
$11$	1.53231	−	0.884678i	0.462008	−	0.266740i	0.712888	+	0.701278i	$0.247387\pi$
$12$	1.35439	−	0.637703i	0.390979	−	0.184089i
$13$	−0.842256	−	2.31408i	−0.233600	−	0.641810i	0.766400	−	0.642364i	$-0.222046\pi$
$13$	−0.842256	−	2.31408i	−0.233600	−	0.641810i	−1.00000		0.000553234i	$0.999824\pi$
$14$	1.91029	−	1.47147i	0.510547	−	0.393267i
$15$	0.282787	−	1.60377i	0.0730154	−	0.414091i
$16$	0.0297364	+	3.99989i	0.00743410	+	0.999972i
$17$	4.93464	−	4.14065i	1.19683	−	1.00426i	0.197111	−	0.980381i	$-0.436844\pi$
$17$	4.93464	−	4.14065i	1.19683	−	1.00426i	0.999715	−	0.0238751i	$-0.00760042\pi$
$18$	−1.59886	−	3.05750i	−0.376856	−	0.720660i
$19$	−2.87718	−	3.27442i	−0.660071	−	0.751203i
$19$	−2.87718	−	3.27442i	−0.660071	−	0.751203i
$20$	3.57368	+	2.48257i	0.799099	+	0.555120i
$21$	0.820354	+	0.977660i	0.179016	+	0.213343i
$22$	−2.48023	+	0.331219i	−0.528786	+	0.0706161i
$23$	−0.437651	+	2.48204i	−0.0912565	+	0.517541i	0.904574	+	0.426317i	$0.140189\pi$
$23$	−0.437651	+	2.48204i	−0.0912565	+	0.517541i	−0.995830	+	0.0912244i	$0.970922\pi$
$24$	−2.11453	+	0.104138i	−0.431626	+	0.0212570i
$25$	−0.250347	+	0.0911189i	−0.0500694	+	0.0182238i
$26$	−0.145444	+	3.47959i	−0.0285238	+	0.682405i
$27$	3.52617	−	2.03584i	0.678612	−	0.391797i
$28$	−3.29061	+	0.894840i	−0.621868	+	0.169109i
$29$	−4.76000	+	5.67275i	−0.883910	+	1.05340i	0.114291	+	0.993447i	$0.463540\pi$
$29$	−4.76000	+	5.67275i	−0.883910	+	1.05340i	−0.998201	+	0.0599557i	$0.980904\pi$
$30$	−1.23382	+	1.94468i	−0.225264	+	0.355048i
$31$	−3.22845	+	5.59184i	−0.579846	+	1.00432i	0.415650	+	0.909525i	$0.363554\pi$
$31$	−3.22845	+	5.59184i	−0.579846	+	1.00432i	−0.995496	+	0.0947989i	$0.969779\pi$
$32$	2.11613	−	5.24614i	0.374082	−	0.927396i
$33$	−0.229975	−	1.30425i	−0.0400334	−	0.227041i
$34$	−8.68322	+	2.75556i	−1.48916	+	0.472575i
$35$	−1.26878	+	3.48594i	−0.214463	+	0.589231i
$36$	0.443340	+	4.85930i	0.0738900	+	0.809883i
$37$			1.77042i			0.291055i	0.989354	+	0.145528i	$0.0464880\pi$
$37$			1.77042i			0.291055i	−0.989354	+	0.145528i	$0.953512\pi$
$38$	1.99796	+	5.83165i	0.324112	+	0.946019i
$39$	−1.84326			−0.295158
$40$	−3.33530	−	5.17151i	−0.527357	−	0.817687i
$41$	3.26449	+	1.18818i	0.509827	+	0.185562i	0.584109	−	0.811675i	$-0.301444\pi$
$41$	3.26449	+	1.18818i	0.509827	+	0.185562i	−0.0742815	+	0.997237i	$0.523666\pi$
$42$	−0.545937	−	1.72033i	−0.0842398	−	0.265453i
$43$	−7.28735	+	1.28496i	−1.11131	+	0.195954i	−0.699023	−	0.715100i	$-0.746381\pi$
$43$	−7.28735	+	1.28496i	−1.11131	+	0.195954i	−0.412288	+	0.911054i	$0.635270\pi$
$44$	3.42151	+	0.903174i	0.515812	+	0.136159i
$45$	4.59695	+	2.65405i	0.685272	+	0.395642i
$46$	1.90950	−	3.00964i	0.281540	−	0.443747i
$47$	−6.49519	−	5.45011i	−0.947421	−	0.794981i	0.0314403	−	0.999506i	$-0.489991\pi$
$47$	−6.49519	−	5.45011i	−0.947421	−	0.794981i	−0.978861	+	0.204525i	$0.934435\pi$
$48$	2.82099	+	1.00307i	0.407175	+	0.144781i
$49$	2.04639	+	3.54445i	0.292341	+	0.506350i
$50$	0.376437	+	0.0157347i	0.0532363	+	0.00222522i
$51$	−1.64910	−	4.53087i	−0.230921	−	0.634449i
$52$	2.06487	−	4.47144i	0.286346	−	0.620077i
$53$	−1.97670	−	0.348545i	−0.271520	−	0.0478763i	0.0362302	−	0.999343i	$-0.488465\pi$
$53$	−1.97670	−	0.348545i	−0.271520	−	0.0478763i	−0.307750	+	0.951467i	$0.599576\pi$
$54$	−5.70755	+	0.762207i	−0.776699	+	0.103723i
$55$	2.94893	−	2.47444i	0.397633	−	0.333654i
$56$	4.78481	+	0.602811i	0.639397	+	0.0805540i
$57$	−3.03968	+	1.18545i	−0.402615	+	0.157016i
$58$	9.28031	−	4.85297i	1.21856	−	0.637226i
$59$	1.57580	+	1.87796i	0.205151	+	0.244490i	0.858803	−	0.512306i	$-0.171208\pi$
$59$	1.57580	+	1.87796i	0.205151	+	0.244490i	−0.653652	+	0.756795i	$0.726764\pi$
$60$	2.66103	−	1.87805i	0.343537	−	0.242455i
$61$	0.728234	+	0.128407i	0.0932408	+	0.0164409i	0.220074	−	0.975483i	$-0.429370\pi$
$61$	0.728234	+	0.128407i	0.0932408	+	0.0164409i	−0.126833	+	0.991924i	$0.540481\pi$
$62$	7.23411	−	5.57232i	0.918733	−	0.707685i
$63$	−3.90902	+	1.42277i	−0.492491	+	0.179252i
$64$	−5.59342	+	5.71958i	−0.699178	+	0.714948i
$65$	−2.67891	−	4.64000i	−0.332278	−	0.575522i
$66$	−0.401980	+	1.82930i	−0.0494803	+	0.225171i
$67$	−2.24658	+	2.67737i	−0.274463	+	0.327093i	−0.885614	−	0.464421i	$-0.846262\pi$
$67$	−2.24658	+	2.67737i	−0.274463	+	0.327093i	0.611151	+	0.791514i	$0.290707\pi$
$68$	12.8385	+	1.07515i	1.55690	+	0.130381i
$69$	1.63374	+	0.943240i	0.196679	+	0.113553i
$70$	3.53712	−	3.87452i	0.422767	−	0.463094i
$71$	−1.73545	−	9.84225i	−0.205960	−	1.16806i	−0.895921	−	0.444213i	$-0.853483\pi$
$71$	−1.73545	−	9.84225i	−0.205960	−	1.16806i	0.689961	−	0.723847i	$-0.257628\pi$
$72$	2.03833	−	6.59271i	0.240220	−	0.776959i
$73$	−14.9953	−	5.45784i	−1.75506	−	0.638791i	−0.755204	−	0.655490i	$-0.772462\pi$
$73$	−14.9953	−	5.45784i	−1.75506	−	0.638791i	−0.999861	+	0.0166985i	$0.994684\pi$
$74$	0.953844	−	2.31494i	0.110882	−	0.269107i
$75$			0.199412i			0.0230261i
$76$	0.529433	−	8.70171i	0.0607301	−	0.998154i
$77$			3.01685i			0.343802i
$78$	2.41019	+	0.993089i	0.272900	+	0.112445i
$79$	9.21773	+	3.35498i	1.03708	+	0.377464i	0.803771	−	0.594939i	$-0.202824\pi$
$79$	9.21773	+	3.35498i	1.03708	+	0.377464i	0.233304	+	0.972404i	$0.425046\pi$
$80$	1.57488	+	8.55904i	0.176077	+	0.956929i
$81$	0.741748	+	4.20666i	0.0824164	+	0.467407i
$82$	−3.62839	−	3.31242i	−0.400688	−	0.365795i
$83$	10.5599	+	6.09674i	1.15910	+	0.669204i	0.951087	−	0.308923i	$-0.0999685\pi$
$83$	10.5599	+	6.09674i	1.15910	+	0.669204i	0.208008	+	0.978127i	$0.433302\pi$
$84$	−0.213011	+	2.54358i	−0.0232414	+	0.277528i
$85$	9.00874	−	10.7362i	0.977135	−	1.16450i
$86$	10.2210	+	2.24602i	1.10216	+	0.242194i
$87$	2.77143	+	4.80026i	0.297129	+	0.514642i
$88$	−3.98725	−	3.02436i	−0.425043	−	0.322398i
$89$	−0.460676	+	0.167672i	−0.0488316	+	0.0177732i	−0.366320	−	0.930489i	$-0.619383\pi$
$89$	−0.460676	+	0.167672i	−0.0488316	+	0.0177732i	0.317489	+	0.948262i	$0.397160\pi$
$90$	−4.58090	−	5.94703i	−0.482869	−	0.626872i
$91$	4.13507	+	0.729125i	0.433473	+	0.0764330i
$92$	−4.11829	+	2.90653i	−0.429362	+	0.303027i
$93$	3.10661	+	3.70231i	0.322140	+	0.383911i
$94$	5.55656	+	10.6258i	0.573115	+	1.09597i
$95$	−7.40182	−	5.92885i	−0.759410	−	0.608287i
$96$	−3.14821	−	2.83144i	−0.321313	−	0.288983i
$97$	5.74523	−	4.82082i	0.583340	−	0.489480i	−0.302702	−	0.953085i	$-0.597889\pi$
$97$	5.74523	−	4.82082i	0.583340	−	0.489480i	0.886042	+	0.463605i	$0.153444\pi$
$98$	−0.766158	−	5.73713i	−0.0773936	−	0.579538i
$99$	4.25119	+	0.749599i	0.427260	+	0.0753375i
$100$	−0.483739	−	0.223386i	−0.0483739	−	0.0223386i
$101$	−4.55094	−	12.5036i	−0.452835	−	1.24416i	−0.930720	−	0.365732i	$-0.880819\pi$
$101$	−4.55094	−	12.5036i	−0.452835	−	1.24416i	0.477885	−	0.878423i	$-0.341404\pi$
$102$	−0.284773	+	6.81290i	−0.0281967	+	0.674578i
$103$	2.35224	+	4.07420i	0.231773	+	0.401443i	0.958330	−	0.285663i	$-0.0922139\pi$
$103$	2.35224	+	4.07420i	0.231773	+	0.401443i	−0.726557	+	0.687106i	$0.758881\pi$
$104$	−5.10902	+	4.73422i	−0.500980	+	0.464229i
$105$	2.12707	+	1.78483i	0.207581	+	0.174181i
$106$	2.39688	+	1.52072i	0.232805	+	0.147706i
$107$	−5.84123	−	3.37244i	−0.564693	−	0.326026i	0.190334	−	0.981719i	$-0.439043\pi$
$107$	−5.84123	−	3.37244i	−0.564693	−	0.326026i	−0.755027	+	0.655694i	$0.772376\pi$
$108$	7.87365	+	2.07840i	0.757642	+	0.199994i
$109$	−19.3418	+	3.41048i	−1.85261	+	0.326664i	−0.985263	−	0.171046i	$-0.945285\pi$
$109$	−19.3418	+	3.41048i	−1.85261	+	0.326664i	−0.867343	+	0.497710i	$0.834174\pi$
$110$	−5.18907	+	1.64672i	−0.494758	+	0.157008i
$111$	1.24525	+	0.453234i	0.118194	+	0.0430191i
$112$	−5.93168	−	3.36611i	−0.560491	−	0.318068i
$113$	−10.4597			−0.983964			−0.491982	−	0.870605i	$-0.663727\pi$
$113$	−10.4597			−0.983964			−0.491982	+	0.870605i	$0.663727\pi$
$114$	4.61326	+	0.0876295i	0.432072	+	0.00820726i
$115$			5.48343i			0.511333i
$116$	−14.7492	+	1.34565i	−1.36943	+	0.124941i
$117$	2.05489	−	5.64576i	0.189974	−	0.521950i
$118$	−1.04868	−	3.30455i	−0.0965384	−	0.304208i
$119$	1.90726	+	10.8166i	0.174839	+	0.991559i
$120$	−4.49130	+	1.02200i	−0.409998	+	0.0932957i
$121$	−3.93469	+	6.81509i	−0.357699	+	0.619553i
$122$	−0.883033	−	0.560249i	−0.0799460	−	0.0507226i
$123$	1.67144	−	1.99195i	0.150709	−	0.179608i
$124$	−12.4613	+	3.38868i	−1.11905	+	0.304312i
$125$	−9.92295	+	5.72902i	−0.887536	+	0.512419i
$126$	5.87785	+	0.245688i	0.523641	+	0.0218877i
$127$	13.2793	−	4.83326i	1.17835	−	0.428883i	0.322728	−	0.946492i	$-0.395400\pi$
$127$	13.2793	−	4.83326i	1.17835	−	0.428883i	0.855617	+	0.517609i	$0.173178\pi$
$128$	10.3953	−	4.46518i	0.918823	−	0.394670i
$129$	−0.961796	+	5.45462i	−0.0846814	+	0.480252i
$130$	1.00297	+	7.51042i	0.0879663	+	0.658708i
$131$	−7.59486	−	9.05121i	−0.663566	−	0.790808i	0.324326	−	0.945945i	$-0.394862\pi$
$131$	−7.59486	−	9.05121i	−0.663566	−	0.790808i	−0.987893	+	0.155138i	$0.950418\pi$
$132$	1.51118	−	2.17535i	0.131531	−	0.189340i
$133$	7.28796	−	1.45698i	0.631946	−	0.126336i
$134$	4.38003	−	2.29046i	0.378377	−	0.197865i
$135$	6.78613	−	5.69424i	0.584057	−	0.490082i
$136$	−16.2079	−	8.32278i	−1.38982	−	0.713673i
$137$	0.444110	−	2.51867i	0.0379428	−	0.215185i	−0.959941	−	0.280201i	$-0.909599\pi$
$137$	0.444110	−	2.51867i	0.0379428	−	0.215185i	0.997884	+	0.0650164i	$0.0207100\pi$
$138$	−1.62804	−	2.11355i	−0.138588	−	0.179918i
$139$	4.46380	+	12.2642i	0.378614	+	1.04023i	0.971931	+	0.235265i	$0.0755959\pi$
$139$	4.46380	+	12.2642i	0.378614	+	1.04023i	−0.593317	+	0.804969i	$0.702182\pi$
$140$	−6.71249	+	3.16051i	−0.567309	+	0.267112i
$141$	−5.49621	+	3.17324i	−0.462864	+	0.267235i
$142$	−3.03346	+	13.8044i	−0.254562	+	1.15844i
$143$	−3.33781	−	2.80076i	−0.279122	−	0.234211i
$144$	−6.21719	+	7.52223i	−0.518099	+	0.626852i
$145$	−8.05573	+	13.9529i	−0.668992	+	1.15873i
$146$	16.6668	+	15.2154i	1.37936	+	1.25924i
$147$	3.01693	−	0.531965i	0.248832	−	0.0438758i
$148$	−2.49443	+	2.51304i	−0.205041	+	0.206571i
$149$	3.68846	−	10.1340i	0.302171	−	0.830207i	−0.691951	−	0.721944i	$-0.743249\pi$
$149$	3.68846	−	10.1340i	0.302171	−	0.830207i	0.994122	−	0.108263i	$-0.0345290\pi$
$150$	0.107437	−	0.260745i	0.00877216	−	0.0212897i
$151$	22.9437			1.86713			0.933564	−	0.358410i	$-0.116681\pi$
$151$	22.9437			1.86713			0.933564	+	0.358410i	$0.116681\pi$
$152$	−5.38046	+	11.0928i	−0.436413	+	0.899746i
$153$	15.7161			1.27057
$154$	1.62538	−	3.94473i	0.130977	−	0.317876i
$155$	−4.80475	+	13.2009i	−0.385927	+	1.06032i
$156$	−2.61644	−	2.59706i	−0.209483	−	0.207931i
$157$	−4.13263	+	0.728695i	−0.329820	+	0.0581562i	−0.336106	−	0.941824i	$-0.609110\pi$
$157$	−4.13263	+	0.728695i	−0.329820	+	0.0581562i	0.00628627	+	0.999980i	$0.497999\pi$
$158$	−10.2452	−	9.35306i	−0.815067	−	0.744090i
$159$	−0.751196	+	1.30111i	−0.0595737	+	0.103185i
$160$	2.55206	−	12.0400i	0.201758	−	0.951846i
$161$	−3.29193	−	2.76226i	−0.259440	−	0.217696i
$162$	1.29652	−	5.90012i	0.101865	−	0.463557i
$163$	6.90931	−	3.98909i	0.541179	−	0.312450i	−0.204378	−	0.978892i	$-0.565517\pi$
$163$	6.90931	−	3.98909i	0.541179	−	0.312450i	0.745557	+	0.666442i	$0.232184\pi$
$164$	2.95973	+	6.28606i	0.231116	+	0.490859i
$165$	−0.985500	−	2.70764i	−0.0767210	−	0.210789i
$166$	−10.5230	−	13.6612i	−0.816743	−	1.06031i
$167$	0.862580	−	4.89193i	0.0667484	−	0.378549i	−0.933074	−	0.359685i	$-0.882884\pi$
$167$	0.862580	−	4.89193i	0.0667484	−	0.378549i	0.999822	−	0.0188638i	$-0.00600489\pi$
$168$	1.64892	−	3.21114i	0.127217	−	0.247745i
$169$	5.31300	−	4.45814i	0.408693	−	0.342934i
$170$	−17.5638	+	9.18469i	−1.34709	+	0.704433i
$171$	−0.242254	−	10.6318i	−0.0185257	−	0.813036i
$172$	−12.1545	−	8.44355i	−0.926775	−	0.643814i
$173$	3.78001	+	4.50484i	0.287389	+	0.342497i	0.890352	−	0.455272i	$-0.150458\pi$
$173$	3.78001	+	4.50484i	0.287389	+	0.342497i	−0.602963	+	0.797769i	$0.706013\pi$
$174$	−1.03761	−	7.76982i	−0.0786610	−	0.589028i
$175$	0.0788798	−	0.447350i	0.00596275	−	0.0338165i
$176$	3.58418	+	6.10275i	0.270168	+	0.460012i
$177$	1.72430	−	0.627594i	0.129606	−	0.0471729i
$178$	0.692701	+	0.0289542i	0.0519202	+	0.00217021i
$179$	−11.9078	+	6.87500i	−0.890034	+	0.513861i	−0.873954	−	0.486009i	$-0.838452\pi$
$179$	−11.9078	+	6.87500i	−0.890034	+	0.513861i	−0.0160803	+	0.999871i	$0.505119\pi$
$180$	2.78577	+	10.2442i	0.207639	+	0.763555i
$181$	14.8464	−	17.6933i	1.10353	−	1.31513i	0.158785	−	0.987313i	$-0.449242\pi$
$181$	14.8464	−	17.6933i	1.10353	−	1.31513i	0.944741	−	0.327818i	$-0.106313\pi$
$182$	−5.01405	−	3.18122i	−0.371666	−	0.235808i
$183$	0.276748	−	0.479341i	0.0204578	−	0.0354339i
$184$	6.95088	−	1.58168i	0.512426	−	0.116603i
$185$	0.668870	+	3.79335i	0.0491763	+	0.278893i
$186$	−2.06741	−	6.51475i	−0.151590	−	0.477685i
$187$	3.89824	−	10.7103i	0.285067	−	0.783216i
$188$	−1.54075	−	16.8876i	−0.112371	−	1.23165i
$189$			6.94244i			0.504988i
$190$	6.48410	+	11.7402i	0.470406	+	0.851725i
$191$	17.9794			1.30094			0.650471	−	0.759531i	$-0.274571\pi$
$191$	17.9794			1.30094			0.650471	+	0.759531i	$0.274571\pi$
$192$	2.59101	+	5.39845i	0.186990	+	0.389600i
$193$	−4.81916	−	1.75403i	−0.346891	−	0.126258i	0.162698	−	0.986676i	$-0.447980\pi$
$193$	−4.81916	−	1.75403i	−0.346891	−	0.126258i	−0.509589	+	0.860418i	$0.670203\pi$
$194$	−10.1096	+	3.20820i	−0.725824	+	0.230336i
$195$	−3.94943	+	0.696390i	−0.282824	+	0.0498695i
$196$	−2.08917	+	7.91446i	−0.149227	+	0.565319i
$197$	17.6944	+	10.2158i	1.26067	+	0.727848i	0.973204	−	0.229942i	$-0.0738538\pi$
$197$	17.6944	+	10.2158i	1.26067	+	0.727848i	0.287466	+	0.957791i	$0.407187\pi$
$198$	−5.15485	−	3.27055i	−0.366339	−	0.232428i
$199$	−11.8505	−	9.94375i	−0.840060	−	0.704894i	0.117517	−	0.993071i	$-0.462506\pi$
$199$	−11.8505	−	9.94375i	−0.840060	−	0.704894i	−0.957577	+	0.288177i	$0.906951\pi$
$200$	0.512168	+	0.552715i	0.0362158	+	0.0390829i
$201$	1.30803	+	2.26558i	0.0922616	+	0.159802i
$202$	−0.785871	+	18.8012i	−0.0552937	+	1.32285i
$203$	−4.31847	−	11.8649i	−0.303097	−	0.832753i
$204$	4.04293	−	8.75490i	0.283061	−	0.612965i
$205$	7.44348	+	1.31249i	0.519875	+	0.0916680i
$206$	−0.880668	−	6.59460i	−0.0613590	−	0.459468i
$207$	−4.71037	+	3.95247i	−0.327393	+	0.274716i
$208$	9.23102	−	3.43775i	0.640056	−	0.238365i
$209$	−7.30553	−	2.47203i	−0.505334	−	0.170994i
$210$	−1.81969	−	3.47978i	−0.125570	−	0.240128i
$211$	13.7494	+	16.3859i	0.946549	+	1.12805i	0.991636	+	0.129070i	$0.0411991\pi$
$211$	13.7494	+	16.3859i	0.946549	+	1.12805i	−0.0450870	+	0.998983i	$0.514357\pi$
$212$	−2.31476	−	3.27981i	−0.158978	−	0.225258i
$213$	−7.36697	−	1.29900i	−0.504776	−	0.0890057i
$214$	5.82084	+	7.55675i	0.397905	+	0.516569i
$215$	−15.1286	+	5.50637i	−1.03176	+	0.375531i
$216$	−9.17554	−	6.95971i	−0.624317	−	0.473548i
$217$	−5.50469	−	9.53440i	−0.373683	−	0.647237i
$218$	27.1281	+	5.96128i	1.83735	+	0.403749i
$219$	−7.67770	+	9.14992i	−0.518811	+	0.618294i
$220$	7.67225	+	0.642507i	0.517263	+	0.0433178i
$221$	−13.7380	−	7.93166i	−0.924121	−	0.533541i
$222$	−1.38406	−	1.26353i	−0.0928921	−	0.0848028i
$223$	2.72511	+	15.4549i	0.182487	+	1.03494i	0.929142	+	0.369723i	$0.120548\pi$
$223$	2.72511	+	15.4549i	0.182487	+	1.03494i	−0.746655	+	0.665212i	$0.768341\pi$
$224$	5.94252	+	7.59721i	0.397051	+	0.507610i
$225$	−0.610782	−	0.222306i	−0.0407188	−	0.0148204i
$226$	13.6767	+	5.63533i	0.909763	+	0.374857i
$227$		−	26.4134i		−	1.75312i	−0.481297	−	0.876558i	$-0.659834\pi$
$227$		−	26.4134i		−	1.75312i	0.481297	−	0.876558i	$-0.340166\pi$
$228$	−5.98494	−	2.60005i	−0.396362	−	0.172193i
$229$		−	3.36924i		−	0.222646i	−0.993784	−	0.111323i	$-0.964491\pi$
$229$		−	3.36924i		−	0.222646i	0.993784	−	0.111323i	$-0.0355087\pi$
$230$	2.95429	−	7.16995i	0.194800	−	0.472773i
$231$	2.12195	+	0.772325i	0.139614	+	0.0508153i
$232$	20.0106	+	6.18687i	1.31376	+	0.406188i
$233$	1.78573	+	10.1274i	0.116987	+	0.663465i	0.985747	+	0.168233i	$0.0538060\pi$
$233$	1.78573	+	10.1274i	0.116987	+	0.663465i	−0.868760	+	0.495232i	$0.835083\pi$
$234$	−5.72865	+	6.27510i	−0.374493	+	0.410216i
$235$	−15.9758	−	9.22366i	−1.04215	−	0.601685i
$236$	−0.409167	+	4.88590i	−0.0266345	+	0.318045i
$237$	4.71955	−	5.62454i	0.306567	−	0.365353i
$238$	3.33377	−	15.1710i	0.216096	−	0.983392i
$239$	−1.47648	−	2.55734i	−0.0955056	−	0.165421i	0.814314	−	0.580425i	$-0.197113\pi$
$239$	−1.47648	−	2.55734i	−0.0955056	−	0.165421i	−0.909820	+	0.415004i	$0.863780\pi$
$240$	6.42330	+	1.08343i	0.414622	+	0.0699350i
$241$	−6.52198	+	2.37381i	−0.420118	+	0.152910i	−0.543424	−	0.839458i	$-0.682872\pi$
$241$	−6.52198	+	2.37381i	−0.420118	+	0.152910i	0.123306	+	0.992369i	$0.460650\pi$
$242$	8.81661	−	6.79130i	0.566753	−	0.436561i
$243$	15.1781	+	2.67632i	0.973679	+	0.171686i
$244$	0.852780	+	1.20831i	0.0545937	+	0.0773543i
$245$	5.72375	+	6.82131i	0.365677	+	0.435797i
$246$	−3.25872	+	1.70409i	−0.207768	+	0.108649i
$247$	−5.15394	+	9.41593i	−0.327937	+	0.599122i
$248$	18.1196	+	2.28279i	1.15060	+	0.144957i
$249$	6.99159	−	5.86664i	0.443074	−	0.371783i
$250$	16.0615	−	2.14492i	1.01582	−	0.135656i
$251$	18.8074	+	3.31625i	1.18711	+	0.209320i	0.732120	−	0.681176i	$-0.238531\pi$
$251$	18.8074	+	3.31625i	1.18711	+	0.209320i	0.454992	+	0.890496i	$0.349642\pi$
$252$	−7.55331	−	3.48804i	−0.475814	−	0.219726i
$253$	1.52519	+	4.19043i	0.0958879	+	0.263450i
$254$	−19.9675	−	0.834624i	−1.25288	−	0.0523689i
$255$	−5.24519	−	9.08494i	−0.328467	−	0.568921i
$256$	−15.9982	+	0.237885i	−0.999889	+	0.0148678i
$257$	18.8813	+	15.8433i	1.17778	+	0.988275i	0.999991	+	0.00420666i	$0.00133903\pi$
$257$	18.8813	+	15.8433i	1.17778	+	0.988275i	0.177789	+	0.984069i	$0.443105\pi$
$258$	4.19638	−	6.61409i	0.261255	−	0.411775i
$259$	−2.61424	−	1.50933i	−0.162441	−	0.0937854i
$260$	2.73492	−	10.3607i	0.169612	−	0.642546i
$261$	−17.7924	+	3.13728i	−1.10132	+	0.194193i
$262$	5.05430	+	15.9269i	0.312256	+	0.983968i
$263$	−26.3560	−	9.59279i	−1.62518	−	0.591517i	−0.640820	−	0.767691i	$-0.721406\pi$
$263$	−26.3560	−	9.59279i	−1.62518	−	0.591517i	−0.984359	+	0.176174i	$0.943628\pi$
$264$	−3.14798	+	2.03025i	−0.193745	+	0.124953i
$265$	−4.36700			−0.268263
$266$	−10.3145	−	2.02141i	−0.632421	−	0.123941i
$267$			0.366948i			0.0224569i
$268$	−6.96120	+	0.635108i	−0.425223	+	0.0387954i
$269$	−9.66436	+	26.5526i	−0.589246	+	1.61894i	0.182640	+	0.983180i	$0.441536\pi$
$269$	−9.66436	+	26.5526i	−0.589246	+	1.61894i	−0.771886	+	0.635761i	$0.780686\pi$
$270$	−11.9412	+	3.78945i	−0.726717	+	0.230619i
$271$	−1.10529	−	6.26841i	−0.0671416	−	0.380779i	−0.999800	−	0.0200173i	$-0.993628\pi$
$271$	−1.10529	−	6.26841i	−0.0671416	−	0.380779i	0.932658	−	0.360762i	$-0.117483\pi$
$272$	16.7089	+	19.6149i	1.01313	+	1.18933i
$273$	1.57143	−	2.72180i	0.0951076	−	0.164731i
$274$	−1.93768	+	3.05406i	−0.117059	+	0.184502i
$275$	−0.302998	+	0.361098i	−0.0182714	+	0.0217751i
$276$	0.990053	+	3.64074i	0.0595942	+	0.219147i
$277$	−3.45402	+	1.99418i	−0.207532	+	0.119819i	−0.600164	−	0.799877i	$-0.704898\pi$
$277$	−3.45402	+	1.99418i	−0.207532	+	0.119819i	0.392632	+	0.919696i	$0.371565\pi$
$278$	0.770823	−	18.4412i	0.0462309	−	1.10603i
$279$	−14.8031	+	5.38790i	−0.886240	+	0.322565i
$280$	10.4798	−	0.516116i	0.626288	−	0.0308438i
$281$	3.48646	−	19.7727i	0.207985	−	1.17954i	−0.684688	−	0.728836i	$-0.740061\pi$
$281$	3.48646	−	19.7727i	0.207985	−	1.17954i	0.892673	−	0.450705i	$-0.148827\pi$
$282$	8.89630	−	1.18804i	0.529767	−	0.0707470i
$283$	11.9306	+	14.2183i	0.709200	+	0.845192i	0.993534	−	0.113534i	$-0.0362170\pi$
$283$	11.9306	+	14.2183i	0.709200	+	0.845192i	−0.284334	+	0.958725i	$0.591773\pi$
$284$	11.4038	−	16.4158i	0.676691	−	0.974101i
$285$	−6.06504	+	3.68837i	−0.359262	+	0.218480i
$286$	2.85545	+	5.46048i	0.168847	+	0.322885i
$287$	−4.53756	+	3.80746i	−0.267844	+	0.224747i
$288$	12.1821	−	6.48619i	0.717838	−	0.382203i
$289$	4.25363	−	24.1236i	0.250214	−	1.41903i
$290$	18.0508	−	13.9042i	1.05998	−	0.816484i
$291$	−1.91999	−	5.27514i	−0.112552	−	0.309234i
$292$	−13.5954	−	28.8747i	−0.795611	−	1.68977i
$293$	1.75054	−	1.01068i	0.102268	−	0.0590443i	−0.447994	−	0.894037i	$-0.647861\pi$
$293$	1.75054	−	1.01068i	0.102268	−	0.0590443i	0.550262	+	0.834992i	$0.314528\pi$
$294$	−4.23144	−	0.929839i	−0.246782	−	0.0542293i
$295$	4.08584	+	3.42843i	0.237887	+	0.199611i
$296$	4.61557	−	1.94205i	0.268275	−	0.112880i
$297$	3.60212	−	6.23905i	0.209016	−	0.362026i
$298$	−10.2828	+	11.2636i	−0.595664	+	0.652484i
$299$	6.11226	−	1.07776i	0.353481	−	0.0623282i
$300$	−0.280961	+	0.283058i	−0.0162213	+	0.0163423i
$301$	4.31528	−	11.8561i	0.248729	−	0.683376i
$302$	−30.0004	−	12.3613i	−1.72633	−	0.711312i
$303$	−9.95965			−0.572167
$304$	13.0118	−	11.6058i	0.746275	−	0.665637i
$305$	1.60885			0.0921223
$306$	−20.5499	−	8.46732i	−1.17476	−	0.484045i
$307$	−8.48113	+	23.3017i	−0.484043	+	1.32990i	0.421955	+	0.906617i	$0.361344\pi$
$307$	−8.48113	+	23.3017i	−0.484043	+	1.32990i	−0.905998	+	0.423282i	$0.860878\pi$
$308$	−4.25058	+	4.28230i	−0.242200	+	0.244007i
$309$	3.46783	−	0.611473i	0.197278	−	0.0347855i
$310$	13.3948	−	14.6725i	0.760771	−	0.833340i
$311$	13.1395	−	22.7583i	0.745073	−	1.29050i	−0.205088	−	0.978744i	$-0.565748\pi$
$311$	13.1395	−	22.7583i	0.745073	−	1.29050i	0.950161	−	0.311761i	$-0.100919\pi$
$312$	2.02196	+	4.80548i	0.114471	+	0.272057i
$313$	−8.24899	−	6.92172i	−0.466260	−	0.391239i	0.379168	−	0.925328i	$-0.376210\pi$
$313$	−8.24899	−	6.92172i	−0.466260	−	0.391239i	−0.845428	+	0.534089i	$0.820655\pi$
$314$	5.79629	+	1.27371i	0.327103	+	0.0718795i
$315$	−7.83806	+	4.52530i	−0.441624	+	0.254972i
$316$	8.35721	+	17.7495i	0.470130	+	0.998490i
$317$	7.46724	+	20.5161i	0.419402	+	1.15230i	0.952045	+	0.305958i	$0.0989766\pi$
$317$	7.46724	+	20.5161i	0.419402	+	1.15230i	−0.532643	+	0.846340i	$0.678801\pi$
$318$	1.68323	−	1.29657i	0.0943910	−	0.0727079i
$319$	−2.27523	+	12.9035i	−0.127388	+	0.722455i
$320$	−9.82374	+	14.3681i	−0.549164	+	0.803204i
$321$	−3.86743	+	3.24516i	−0.215859	+	0.181127i
$322$	2.81620	+	5.38542i	0.156941	+	0.300117i
$323$	−27.7561	−	4.24465i	−1.54439	−	0.236179i
$324$	−4.87408	+	7.01627i	−0.270782	+	0.389793i
$325$	0.421713	+	0.502578i	0.0233924	+	0.0278780i
$326$	−11.1836	+	1.49350i	−0.619401	+	0.0827171i
$327$	−2.55276	+	14.4774i	−0.141168	+	0.800603i
$328$	−0.483328	−	9.81405i	−0.0266873	−	0.541890i
$329$	13.5851	−	4.94457i	0.748971	−	0.272603i
$330$	−0.170179	+	4.07137i	−0.00936806	+	0.224122i
$331$	2.56195	−	1.47914i	0.140818	−	0.0813011i	−0.427936	−	0.903809i	$-0.640759\pi$
$331$	2.56195	−	1.47914i	0.140818	−	0.0813011i	0.568754	+	0.822508i	$0.307426\pi$
$332$	6.39932	+	23.5324i	0.351209	+	1.29151i
$333$	−2.77643	+	3.30883i	−0.152148	+	0.181323i
$334$	−3.76349	+	5.93180i	−0.205929	+	0.324574i
$335$	−3.80206	+	6.58537i	−0.207729	+	0.359797i
$336$	−3.88614	+	3.31040i	−0.212006	+	0.180597i
$337$	−0.722576	−	4.09793i	−0.0393612	−	0.223229i	0.958782	−	0.284144i	$-0.0917092\pi$
$337$	−0.722576	−	4.09793i	−0.0393612	−	0.223229i	−0.998143	+	0.0609150i	$0.980598\pi$
$338$	−9.34901	+	2.96684i	−0.508519	+	0.161375i
$339$	−2.67772	+	7.35697i	−0.145434	+	0.399576i
$340$	27.9143	−	2.54677i	1.51387	−	0.138118i
$341$			11.4245i			0.618674i
$342$	−5.41131	+	14.0323i	−0.292610	+	0.758782i
$343$	−18.9138			−1.02125
$344$	11.3438	+	17.5890i	0.611615	+	0.948333i
$345$	3.85685	+	1.40378i	0.207646	+	0.0755770i
$346$	−2.51556	−	7.92693i	−0.135237	−	0.426154i
$347$	−20.8493	+	3.67629i	−1.11925	+	0.197354i	−0.702511	−	0.711673i	$-0.747938\pi$
$347$	−20.8493	+	3.67629i	−1.11925	+	0.197354i	−0.416738	+	0.909027i	$0.636827\pi$
$348$	−2.82938	+	10.7186i	−0.151670	+	0.574576i
$349$	11.0912	+	6.40353i	0.593701	+	0.342773i	0.766559	−	0.642173i	$-0.221967\pi$
$349$	11.0912	+	6.40353i	0.593701	+	0.342773i	−0.172859	+	0.984947i	$0.555300\pi$
$350$	−0.344158	+	0.542442i	−0.0183960	+	0.0289947i
$351$	−7.68103	−	6.44515i	−0.409983	−	0.344017i
$352$	−1.39859	−	9.91079i	−0.0745452	−	0.528247i
$353$	3.38528	+	5.86348i	0.180180	+	0.312081i	0.941942	−	0.335776i	$-0.108999\pi$
$353$	3.38528	+	5.86348i	0.180180	+	0.312081i	−0.761762	+	0.647857i	$0.775665\pi$
$354$	−2.59276	−	0.108375i	−0.137804	−	0.00576007i
$355$	−7.43686	−	20.4326i	−0.394708	−	1.08445i
$356$	−0.890153	−	0.411064i	−0.0471780	−	0.0217864i
$357$	8.09630	+	1.42760i	0.428502	+	0.0755564i
$358$	19.2743	−	2.57396i	1.01868	−	0.136038i
$359$	−0.812114	+	0.681445i	−0.0428618	+	0.0359653i	−0.663967	−	0.747762i	$-0.731128\pi$
$359$	−0.812114	+	0.681445i	−0.0428618	+	0.0359653i	0.621105	+	0.783727i	$0.286684\pi$
$360$	1.87664	−	14.8958i	0.0989076	−	0.785078i
$361$	−2.44363	+	18.8422i	−0.128612	+	0.991695i
$362$	−28.9452	+	15.1364i	−1.52133	+	0.795550i
$363$	3.78619	+	4.51221i	0.198724	+	0.236830i
$364$	4.84227	+	6.86106i	0.253804	+	0.359617i
$365$	−34.1913	−	6.02884i	−1.78965	−	0.315564i
$366$	−0.620119	+	0.477668i	−0.0324142	+	0.0249681i
$367$	−3.39343	+	1.23511i	−0.177135	+	0.0644720i	−0.429065	−	0.903273i	$-0.641157\pi$
$367$	−3.39343	+	1.23511i	−0.177135	+	0.0644720i	0.251930	+	0.967745i	$0.418935\pi$
$368$	−9.94090	−	1.67675i	−0.518205	−	0.0874065i
$369$	4.23782	+	7.34013i	0.220612	+	0.382112i
$370$	1.16914	−	5.32042i	0.0607807	−	0.276596i
$371$	2.19986	−	2.62169i	0.114211	−	0.136111i
$372$	−0.806652	+	9.63232i	−0.0418230	+	0.499413i
$373$	1.12544	+	0.649775i	0.0582733	+	0.0336441i	0.528854	−	0.848713i	$-0.322622\pi$
$373$	1.12544	+	0.649775i	0.0582733	+	0.0336441i	−0.470580	+	0.882357i	$0.655955\pi$
$374$	−10.8676	+	11.9042i	−0.561949	+	0.615552i
$375$	1.48928	+	8.44610i	0.0769059	+	0.436155i
$376$	−7.08385	+	22.9118i	−0.365322	+	1.18158i
$377$	17.1363	+	6.23712i	0.882566	+	0.321228i
$378$	3.74035	−	9.07770i	0.192383	−	0.466906i
$379$		−	31.0537i		−	1.59512i	−0.603238	−	0.797561i	$-0.706123\pi$
$379$		−	31.0537i		−	1.59512i	0.603238	−	0.797561i	$-0.293877\pi$
$380$	−2.15315	−	18.8445i	−0.110454	−	0.966704i
$381$		−	10.5775i		−	0.541902i
$382$	−23.5092	−	9.68669i	−1.20284	−	0.495614i
$383$	−2.39576	−	0.871984i	−0.122417	−	0.0445563i	0.280085	−	0.959975i	$-0.409637\pi$
$383$	−2.39576	−	0.871984i	−0.122417	−	0.0445563i	−0.402503	+	0.915419i	$0.631860\pi$
$384$	−0.479417	−	8.45479i	−0.0244652	−	0.431456i
$385$	1.13978	+	6.46399i	0.0580883	+	0.329435i
$386$	5.35636	+	4.88992i	0.272631	+	0.248890i
$387$	−15.6348	−	9.02676i	−0.794762	−	0.458856i
$388$	14.9474	+	1.25176i	0.758839	+	0.0635485i
$389$	22.6985	−	27.0510i	1.15086	−	1.37154i	0.234046	−	0.972226i	$-0.424803\pi$
$389$	22.6985	−	27.0510i	1.15086	−	1.37154i	0.916814	−	0.399315i	$-0.130752\pi$
$390$	5.53933	+	1.21724i	0.280495	+	0.0616375i
$391$	8.11762	+	14.0601i	0.410526	+	0.711052i
$392$	6.99579	−	9.22311i	0.353341	−	0.465837i
$393$	−8.31061	+	3.02482i	−0.419215	+	0.152582i
$394$	−17.6326	−	22.8910i	−0.888317	−	1.15323i
$395$	21.0177	+	3.70598i	1.05751	+	0.186468i
$396$	4.97824	+	7.05372i	0.250166	+	0.354463i
$397$	1.10383	+	1.31549i	0.0553995	+	0.0660225i	0.793033	−	0.609179i	$-0.208501\pi$
$397$	1.10383	+	1.31549i	0.0553995	+	0.0660225i	−0.737633	+	0.675202i	$0.764057\pi$
$398$	10.1380	+	19.3868i	0.508170	+	0.971771i
$399$	0.840958	−	5.49909i	0.0421005	−	0.275299i
$400$	−0.371910	−	0.998651i	−0.0185955	−	0.0499326i
$401$	−0.632622	+	0.530833i	−0.0315916	+	0.0265085i	−0.658447	−	0.752627i	$-0.728786\pi$
$401$	−0.632622	+	0.530833i	−0.0315916	+	0.0265085i	0.626855	+	0.779136i	$0.284342\pi$
$402$	−0.489721	−	3.66712i	−0.0244251	−	0.182899i
$403$	15.6591	+	2.76113i	0.780037	+	0.137542i
$404$	11.1570	−	24.1604i	0.555083	−	1.20203i
$405$	3.17858	+	8.73307i	0.157945	+	0.433950i
$406$	−0.745728	+	17.8408i	−0.0370099	+	0.885424i
$407$	1.56625	+	2.71283i	0.0776362	+	0.134470i
$408$	−10.0032	+	9.26942i	−0.495234	+	0.458904i
$409$	−1.96552	−	1.64927i	−0.0971889	−	0.0815512i	0.592899	−	0.805277i	$-0.297984\pi$
$409$	−1.96552	−	1.64927i	−0.0971889	−	0.0815512i	−0.690087	+	0.723726i	$0.742428\pi$
$410$	−9.02572	−	5.72646i	−0.445748	−	0.282810i
$411$	−1.65785	−	0.957160i	−0.0817757	−	0.0472132i
$412$	−2.40142	+	9.09735i	−0.118310	+	0.448195i
$413$	−4.11645	+	0.725841i	−0.202557	+	0.0357163i
$414$	8.28858	−	2.63033i	0.407362	−	0.129273i
$415$	24.9292	+	9.07349i	1.22373	+	0.445400i
$416$	−13.9223	−	0.478288i	−0.682598	−	0.0234500i
$417$	9.76894			0.478387
$418$	8.22062	+	7.16832i	0.402084	+	0.350614i
$419$		−	1.93815i		−	0.0946850i	−0.998879	−	0.0473425i	$-0.984925\pi$
$419$		−	1.93815i		−	0.0946850i	0.998879	−	0.0473425i	$-0.0150752\pi$
$420$	0.504571	+	5.53043i	0.0246205	+	0.269857i
$421$	0.690910	−	1.89826i	0.0336729	−	0.0925155i	−0.921717	−	0.387863i	$-0.873213\pi$
$421$	0.690910	−	1.89826i	0.0336729	−	0.0925155i	0.955390	+	0.295348i	$0.0954355\pi$
$422$	−9.15009	−	28.8334i	−0.445419	−	1.40359i
$423$	−3.59213	−	20.3720i	−0.174655	−	0.990519i
$424$	1.25965	+	5.53568i	0.0611742	+	0.268836i
$425$	−0.858081	+	1.48624i	−0.0416230	+	0.0720932i
$426$	8.93295	+	5.66760i	0.432803	+	0.274596i
$427$	−0.810450	+	0.965856i	−0.0392204	+	0.0467411i
$428$	−3.53981	−	13.0170i	−0.171103	−	0.629202i
$429$	−2.82444	+	1.63069i	−0.136365	+	0.0787306i
$430$	22.7483	+	0.950857i	1.09702	+	0.0458544i
$431$	3.80320	−	1.38425i	0.183194	−	0.0666771i	−0.248794	−	0.968556i	$-0.580034\pi$
$431$	3.80320	−	1.38425i	0.183194	−	0.0666771i	0.431988	+	0.901879i	$0.357812\pi$
$432$	8.24798	+	14.0438i	0.396831	+	0.675681i
$433$	2.58648	−	14.6687i	0.124298	−	0.704931i	−0.857424	−	0.514611i	$-0.827936\pi$
$433$	2.58648	−	14.6687i	0.124298	−	0.704931i	0.981722	−	0.190320i	$-0.0609526\pi$
$434$	2.06093	+	15.4326i	0.0989277	+	0.740789i
$435$	7.75170	+	9.23812i	0.371666	+	0.442934i
$436$	−32.2601	−	22.4105i	−1.54498	−	1.07327i
$437$	9.38644	−	5.70824i	0.449014	−	0.273062i
$438$	14.9688	−	7.82764i	0.715236	−	0.374019i
$439$	13.6546	−	11.4576i	0.651698	−	0.546839i	−0.255888	−	0.966706i	$-0.582368\pi$
$439$	13.6546	−	11.4576i	0.651698	−	0.546839i	0.907586	+	0.419867i	$0.137923\pi$
$440$	−9.68581	−	4.97367i	−0.461753	−	0.237111i
$441$	−1.73393	+	9.83362i	−0.0825682	+	0.468268i
$442$	13.6901	+	17.7728i	0.651171	+	0.845365i
$443$	4.31118	+	11.8449i	0.204830	+	0.562766i	0.998990	−	0.0449434i	$-0.0143107\pi$
$443$	4.31118	+	11.8449i	0.204830	+	0.562766i	−0.794159	+	0.607709i	$0.792089\pi$
$444$	1.12900	+	2.39784i	0.0535800	+	0.113796i
$445$	−0.923710	+	0.533304i	−0.0437881	+	0.0252811i
$446$	4.76331	−	21.6765i	0.225549	−	1.02641i
$447$	−6.18362	−	5.18867i	−0.292475	−	0.245416i
$448$	−3.67711	−	13.1355i	−0.173727	−	0.620593i
$449$	11.6452	−	20.1700i	0.549570	−	0.951883i	−0.448734	−	0.893665i	$-0.648125\pi$
$449$	11.6452	−	20.1700i	0.549570	−	0.951883i	0.998304	−	0.0582176i	$-0.0185417\pi$
$450$	0.678867	+	0.619749i	0.0320021	+	0.0292153i
$451$	6.05335	−	1.06737i	0.285041	−	0.0502604i
$452$	−14.8471	−	14.7371i	−0.698349	−	0.693177i
$453$	5.87366	−	16.1378i	0.275969	−	0.758218i
$454$	−14.2306	+	34.5372i	−0.667877	+	1.62091i
$455$	9.13538			0.428273
$456$	6.42488	+	6.62423i	0.300873	+	0.310208i
$457$	−19.0384			−0.890580			−0.445290	−	0.895386i	$-0.646899\pi$
$457$	−19.0384			−0.890580			−0.445290	+	0.895386i	$0.646899\pi$
$458$	−1.81523	+	4.40550i	−0.0848203	+	0.205856i
$459$	8.97069	−	24.6468i	0.418716	−	1.15041i
$460$	−7.72587	+	7.78352i	−0.360220	+	0.362908i
$461$	17.3243	−	3.05474i	0.806873	−	0.142273i	0.245028	−	0.969516i	$-0.421203\pi$
$461$	17.3243	−	3.05474i	0.806873	−	0.142273i	0.561845	+	0.827243i	$0.310092\pi$
$462$	−2.35848	−	2.15310i	−0.109727	−	0.100171i
$463$	10.9631	−	18.9887i	0.509499	−	0.882478i	−0.490441	−	0.871475i	$-0.663164\pi$
$463$	10.9631	−	18.9887i	0.509499	−	0.882478i	0.999939	−	0.0110034i	$-0.00350256\pi$
$464$	−22.8319	−	18.8708i	−1.05995	−	0.876055i
$465$	8.05504	+	6.75898i	0.373544	+	0.313440i
$466$	3.12133	−	14.2043i	0.144593	−	0.658001i
$467$	31.4592	−	18.1630i	1.45576	−	0.840484i	0.456962	−	0.889486i	$-0.348938\pi$
$467$	31.4592	−	18.1630i	1.45576	−	0.840484i	0.998799	+	0.0490026i	$0.0156043\pi$
$468$	10.8714	−	5.11870i	0.502531	−	0.236612i
$469$	−2.03819	−	5.59988i	−0.0941149	−	0.258579i
$470$	15.9201	+	20.6678i	0.734338	+	0.953335i
$471$	−0.545431	+	3.09330i	−0.0251322	+	0.142532i
$472$	3.16738	−	6.16820i	0.145790	−	0.283914i
$473$	−10.0297	+	8.41590i	−0.461165	+	0.386964i
$474$	−9.20143	+	4.81172i	−0.422636	+	0.221010i
$475$	1.01866	+	0.557575i	0.0467391	+	0.0255833i
$476$	−12.5328	+	18.0410i	−0.574439	+	0.826908i
$477$	−3.14775	−	3.75134i	−0.144125	−	0.171762i
$478$	0.552787	+	4.13937i	0.0252839	+	0.189330i
$479$	−3.06028	+	17.3557i	−0.139828	+	0.793002i	0.831548	+	0.555453i	$0.187455\pi$
$479$	−3.06028	+	17.3557i	−0.139828	+	0.793002i	−0.971376	+	0.237549i	$0.923656\pi$
$480$	−7.81518	−	4.87732i	−0.356712	−	0.222618i
$481$	4.09689	−	1.49115i	0.186802	−	0.0679905i
$482$	9.80686	+	0.409917i	0.446690	+	0.0186712i
$483$	−2.78562	+	1.60828i	−0.126750	+	0.0731792i
$484$	−15.1872	+	4.12997i	−0.690329	+	0.187726i
$485$	10.4886	−	12.4998i	0.476261	−	0.567586i
$486$	−18.4045	−	11.6769i	−0.834846	−	0.529677i
$487$	0.337754	−	0.585007i	0.0153051	−	0.0265092i	−0.858271	−	0.513196i	$-0.828461\pi$
$487$	0.337754	−	0.585007i	0.0153051	−	0.0265092i	0.873577	+	0.486687i	$0.161795\pi$
$488$	−0.464068	−	2.03940i	−0.0210074	−	0.0923192i
$489$	−1.03698	−	5.88099i	−0.0468937	−	0.265947i
$490$	−3.80910	−	12.0031i	−0.172077	−	0.542244i
$491$	3.15446	−	8.66680i	0.142359	−	0.391127i	−0.847938	−	0.530095i	$-0.822156\pi$
$491$	3.15446	−	8.66680i	0.142359	−	0.391127i	0.990297	+	0.138968i	$0.0443785\pi$
$492$	5.17910	−	0.472517i	0.233492	−	0.0213027i
$493$			47.7025i			2.14841i
$494$	11.8121	−	9.53519i	0.531452	−	0.429008i
$495$	9.39191			0.422135
$496$	−22.4627	−	12.7472i	−1.00861	−	0.572364i
$497$	16.0128	+	5.82819i	0.718273	+	0.261430i
$498$	−12.3027	+	3.90419i	−0.551298	+	0.174951i
$499$	0.649382	−	0.114504i	0.0290703	−	0.00512588i	−0.159094	−	0.987263i	$-0.550857\pi$
$499$	0.649382	−	0.114504i	0.0290703	−	0.00512588i	0.188164	+	0.982138i	$0.439746\pi$
$500$	−22.1571	−	5.84880i	−0.990896	−	0.261566i
$501$	−3.21999	−	1.85906i	−0.143859	−	0.0830568i
$502$	−22.8052	−	14.4690i	−1.01785	−	0.645784i
$503$	15.8352	+	13.2873i	0.706057	+	0.592452i	0.923490	−	0.383623i	$-0.125324\pi$
$503$	15.8352	+	13.2873i	0.706057	+	0.592452i	−0.217433	+	0.976075i	$0.569768\pi$
$504$	7.99721	+	8.63032i	0.356224	+	0.384425i
$505$	−14.4749	−	25.0712i	−0.644123	−	1.11565i
$506$	0.263375	−	6.30098i	0.0117084	−	0.280113i
$507$	−1.77555	−	4.87828i	−0.0788549	−	0.216652i
$508$	25.6592	+	11.8492i	1.13844	+	0.525722i
$509$	−16.2108	−	2.85840i	−0.718532	−	0.126697i	−0.197585	−	0.980286i	$-0.563310\pi$
$509$	−16.2108	−	2.85840i	−0.718532	−	0.126697i	−0.520947	+	0.853589i	$0.674421\pi$
$510$	1.96377	+	14.7051i	0.0869573	+	0.651153i
$511$	20.8431	−	17.4894i	0.922043	−	0.773686i
$512$	21.0469	+	8.30827i	0.930151	+	0.367177i
$513$	−16.8116	−	5.68869i	−0.742251	−	0.251162i
$514$	−16.1527	−	30.8887i	−0.712464	−	1.36244i
$515$	6.57922	+	7.84081i	0.289915	+	0.345508i
$516$	−9.05050	+	6.38750i	−0.398426	+	0.281194i
$517$	−14.7742	−	2.60509i	−0.649769	−	0.114572i
$518$	2.60512	+	3.38202i	0.114462	+	0.148598i
$519$	4.13625	−	1.50547i	0.181561	−	0.0660828i
$520$	−9.15811	+	12.0739i	−0.401610	+	0.529475i
$521$	16.9994	+	29.4439i	0.744758	+	1.28996i	0.950308	+	0.311312i	$0.100768\pi$
$521$	16.9994	+	29.4439i	0.744758	+	1.28996i	−0.205550	+	0.978647i	$0.565898\pi$
$522$	24.9550	+	5.48375i	1.09225	+	0.240017i
$523$	−25.6134	+	30.5249i	−1.12000	+	1.33476i	−0.183929	+	0.982939i	$0.558882\pi$
$523$	−25.6134	+	30.5249i	−1.12000	+	1.33476i	−0.936067	+	0.351821i	$0.885563\pi$
$524$	1.97206	−	23.5486i	0.0861499	−	1.02873i
$525$	−0.294456	−	0.170004i	−0.0128511	−	0.00741960i
$526$	29.2939	+	26.7429i	1.27728	+	1.16605i
$527$	7.22263	+	40.9616i	0.314623	+	1.78432i
$528$	5.21002	−	0.958657i	0.226737	−	0.0417202i
$529$	15.6439	+	5.69393i	0.680171	+	0.247562i
$530$	5.71015	+	2.35280i	0.248033	+	0.102199i
$531$			5.98103i			0.259555i
$532$	12.3978	+	8.20023i	0.537512	+	0.355525i
$533$		−	8.55504i		−	0.370560i
$534$	0.197700	−	0.479809i	0.00855530	−	0.0207634i
$535$	−13.7897	−	5.01904i	−0.596181	−	0.216992i
$536$	9.44441	+	2.92002i	0.407936	+	0.126126i
$537$	1.78718	+	10.1356i	0.0771223	+	0.437383i
$538$	26.9425	−	29.5125i	1.16157	−	1.27237i
$539$	6.27139	+	3.62079i	0.270128	+	0.155958i
$540$	17.6555	+	1.47855i	0.759772	+	0.0636266i
$541$	14.1195	−	16.8270i	0.607044	−	0.723447i	−0.371741	−	0.928337i	$-0.621239\pi$
$541$	14.1195	−	16.8270i	0.607044	−	0.723447i	0.978785	+	0.204889i	$0.0656834\pi$
$542$	−1.93197	+	8.79186i	−0.0829853	+	0.377643i
$543$	−8.64409	−	14.9720i	−0.370953	−	0.642510i
$544$	−11.2801	−	34.6500i	−0.483632	−	1.48561i
$545$	−40.1537	+	14.6148i	−1.72000	+	0.626028i
$546$	−3.52117	+	2.71230i	−0.150692	+	0.116076i
$547$	−35.7118	−	6.29695i	−1.52692	−	0.269238i	−0.653775	−	0.756689i	$-0.726816\pi$
$547$	−35.7118	−	6.29695i	−1.52692	−	0.269238i	−0.873150	+	0.487451i	$0.837927\pi$
$548$	4.17907	−	2.94943i	0.178521	−	0.125993i
$549$	1.15966	+	1.38203i	0.0494931	+	0.0589835i
$550$	0.590737	−	0.308915i	0.0251891	−	0.0131722i
$551$	32.2704	−	0.735305i	1.37476	−	0.0313251i
$552$	0.666951	−	5.29392i	0.0283873	−	0.225324i
$553$	−12.8124	+	10.7509i	−0.544839	+	0.457174i
$554$	5.59075	−	0.746610i	0.237528	−	0.0317204i
$555$	2.83934	+	0.500652i	0.120523	+	0.0212515i
$556$	−10.9434	+	23.6978i	−0.464103	+	1.00501i
$557$	−15.4935	−	42.5681i	−0.656482	−	1.80367i	−0.592280	−	0.805733i	$-0.701772\pi$
$557$	−15.4935	−	42.5681i	−0.656482	−	1.80367i	−0.0642025	−	0.997937i	$-0.520450\pi$
$558$	22.2589	+	0.930399i	0.942294	+	0.0393869i
$559$	9.11131	+	15.7813i	0.385367	+	0.667476i
$560$	−13.9811	−	4.97131i	−0.590809	−	0.210076i
$561$	−6.53529	−	5.48376i	−0.275920	−	0.231525i
$562$	−15.2117	+	23.9758i	−0.641666	+	1.01136i
$563$	0.501085	+	0.289301i	0.0211182	+	0.0121926i	0.510522	−	0.859865i	$-0.329452\pi$
$563$	0.501085	+	0.289301i	0.0211182	+	0.0121926i	−0.489404	+	0.872057i	$0.662786\pi$
$564$	−12.2726	−	3.23958i	−0.516769	−	0.136411i
$565$	−22.4112	+	3.95170i	−0.942846	+	0.166249i
$566$	−7.93968	−	25.0192i	−0.333730	−	1.05164i
$567$	−6.84401	−	2.49102i	−0.287421	−	0.104613i
$568$	−23.7555	+	15.3208i	−0.996760	+	0.642847i
$569$	−37.7888			−1.58419			−0.792095	−	0.610398i	$-0.791010\pi$
$569$	−37.7888			−1.58419			−0.792095	+	0.610398i	$0.791010\pi$
$570$	9.91761	−	1.55515i	0.415403	−	0.0651379i
$571$			38.9276i			1.62907i	0.580114	+	0.814535i	$0.303008\pi$
$571$			38.9276i			1.62907i	−0.580114	+	0.814535i	$0.696992\pi$
$572$	−0.791774	−	8.67836i	−0.0331057	−	0.362860i
$573$	4.60279	−	12.6461i	0.192284	−	0.528297i
$574$	7.98450	−	2.53383i	0.333266	−	0.105760i
$575$	−0.116596	−	0.661250i	−0.00486240	−	0.0275760i
$576$	−19.4235	+	1.91781i	−0.809311	+	0.0799087i
$577$	13.4685	−	23.3282i	0.560703	−	0.971166i	−0.436732	−	0.899592i	$-0.643864\pi$
$577$	13.4685	−	23.3282i	0.560703	−	0.971166i	0.997435	−	0.0715745i	$-0.0228024\pi$
$578$	−18.5589	+	29.2514i	−0.771948	+	1.21670i
$579$	−2.46745	+	2.94059i	−0.102544	+	0.122207i
$580$	−31.0937	+	8.45554i	−1.29110	+	0.351097i
$581$	−18.0052	+	10.3953i	−0.746980	+	0.431269i
$582$	−0.331551	+	7.93202i	−0.0137432	+	0.328793i
$583$	−3.33725	+	1.21466i	−0.138215	+	0.0503061i
$584$	2.22015	+	45.0804i	0.0918703	+	1.86544i
$585$	2.26987	−	12.8731i	0.0938477	−	0.532237i
$586$	−2.83347	+	0.378392i	−0.117049	+	0.0156312i
$587$	−2.61102	−	3.11170i	−0.107769	−	0.128434i	0.709464	−	0.704742i	$-0.248937\pi$
$587$	−2.61102	−	3.11170i	−0.107769	−	0.128434i	−0.817232	+	0.576308i	$0.804493\pi$
$588$	5.03192	+	3.49558i	0.207513	+	0.144155i
$589$	27.5989	−	5.51745i	1.13719	−	0.227343i
$590$	−3.49539	−	6.68422i	−0.143903	−	0.275185i
$591$	11.7153	−	9.83029i	0.481902	−	0.404364i
$592$	−7.08148	+	0.0526459i	−0.291047	+	0.00216373i
$593$	−1.27991	+	7.25871i	−0.0525595	+	0.298079i	−0.999744	−	0.0226084i	$-0.992803\pi$
$593$	−1.27991	+	7.25871i	−0.0525595	+	0.298079i	0.947185	+	0.320688i	$0.103914\pi$
$594$	−8.07140	+	6.21727i	−0.331174	+	0.255098i
$595$	8.17311	+	22.4554i	0.335065	+	0.920583i
$596$	19.5139	−	9.18792i	0.799319	−	0.376352i
$597$	−10.0279	+	5.78959i	−0.410413	+	0.236952i
$598$	−8.57284	−	1.88384i	−0.350570	−	0.0770361i
$599$	−18.6862	−	15.6796i	−0.763497	−	0.640650i	0.175537	−	0.984473i	$-0.443834\pi$
$599$	−18.6862	−	15.6796i	−0.763497	−	0.640650i	−0.939035	+	0.343823i	$0.888278\pi$
$600$	0.519877	−	0.218744i	0.0212239	−	0.00893019i
$601$	−20.5466	+	35.5878i	−0.838114	+	1.45166i	0.0533558	+	0.998576i	$0.483008\pi$
$601$	−20.5466	+	35.5878i	−0.838114	+	1.45166i	−0.891470	+	0.453080i	$0.850325\pi$
$602$	−12.0302	+	13.1778i	−0.490315	+	0.537085i
$603$	−8.39748	+	1.48070i	−0.341972	+	0.0602989i
$604$	32.5676	+	32.3264i	1.32516	+	1.31534i
$605$	−5.85582	+	16.0887i	−0.238073	+	0.654100i
$606$	13.0229	+	5.36593i	0.529019	+	0.217976i
$607$	−24.4797			−0.993599			−0.496799	−	0.867865i	$-0.665491\pi$
$607$	−24.4797			−0.993599			−0.496799	+	0.867865i	$0.665491\pi$
$608$	−23.2665	+	8.16504i	−0.943583	+	0.331136i
$609$	−9.45090			−0.382970
$610$	−2.10367	−	0.866793i	−0.0851753	−	0.0350954i
$611$	−7.14138	+	19.6208i	−0.288909	+	0.793772i
$612$	22.3084	+	22.1432i	0.901764	+	0.895085i
$613$	−31.0679	+	5.47811i	−1.25482	+	0.221259i	−0.761256	−	0.648451i	$-0.775417\pi$
$613$	−31.0679	+	5.47811i	−1.25482	+	0.221259i	−0.493564	+	0.869710i	$0.664306\pi$
$614$	23.6438	−	25.8992i	0.954187	−	1.04521i
$615$	2.82871	−	4.89948i	0.114065	−	0.197566i
$616$	7.86508	−	3.30932i	0.316893	−	0.133336i
$617$	4.58334	+	3.84588i	0.184518	+	0.154829i	0.730368	−	0.683054i	$-0.239349\pi$
$617$	4.58334	+	3.84588i	0.184518	+	0.154829i	−0.545850	+	0.837883i	$0.683793\pi$
$618$	−4.86386	−	1.06881i	−0.195653	−	0.0429939i
$619$	−6.96767	+	4.02279i	−0.280054	+	0.161689i	−0.633448	−	0.773785i	$-0.718361\pi$
$619$	−6.96767	+	4.02279i	−0.280054	+	0.161689i	0.353394	+	0.935475i	$0.385028\pi$
$620$	−25.4196	+	11.9686i	−1.02087	+	0.480670i
$621$	3.50980	+	9.64309i	0.140843	+	0.386964i
$622$	−29.4422	+	22.6789i	−1.18052	+	0.909339i
$623$	0.145151	−	0.823191i	0.00581534	−	0.0329804i
$624$	−0.0548120	−	7.37285i	−0.00219424	−	0.295150i
$625$	−18.0763	+	15.1678i	−0.723053	+	0.606713i
$626$	7.05690	+	13.4949i	0.282051	+	0.539364i
$627$	−3.60898	+	4.50560i	−0.144129	+	0.179936i
$628$	−6.89280	−	4.78831i	−0.275053	−	0.191074i
$629$	7.33070	+	8.73639i	0.292294	+	0.348343i
$630$	12.6869	−	1.69425i	0.505457	−	0.0675006i
$631$	6.41066	−	36.3567i	0.255204	−	1.44734i	−0.540343	−	0.841445i	$-0.681706\pi$
$631$	6.41066	−	36.3567i	0.255204	−	1.44734i	0.795548	−	0.605891i	$-0.207183\pi$
$632$	−1.36474	−	27.7113i	−0.0542866	−	1.10230i
$633$	15.0452	−	5.47599i	0.597992	−	0.217651i
$634$	1.28947	−	30.8492i	0.0512113	−	1.22518i
$635$	26.6265	−	15.3728i	1.05664	−	0.610052i
$636$	−2.89949	+	0.788478i	−0.114972	+	0.0312652i
$637$	6.47856	−	7.72085i	0.256690	−	0.305911i
$638$	9.92697	−	15.6463i	0.393012	−	0.619443i
$639$	12.1915	−	21.1163i	0.482287	−	0.835346i
$640$	20.5863	−	13.4946i	0.813744	−	0.533421i
$641$	−1.14508	−	6.49405i	−0.0452278	−	0.256500i	0.953807	−	0.300419i	$-0.0971266\pi$
$641$	−1.14508	−	6.49405i	−0.0452278	−	0.256500i	−0.999035	+	0.0439196i	$0.986015\pi$
$642$	6.80531	−	2.15962i	0.268584	−	0.0852334i
$643$	3.70932	−	10.1913i	0.146281	−	0.401905i	−0.844814	−	0.535060i	$-0.820289\pi$
$643$	3.70932	−	10.1913i	0.146281	−	0.401905i	0.991095	+	0.133156i	$0.0425110\pi$
$644$	−0.780890	−	8.55907i	−0.0307714	−	0.337274i
$645$			12.0506i			0.474491i
$646$	34.0061	+	20.5042i	1.33795	+	0.806728i
$647$	−9.29005			−0.365230			−0.182615	−	0.983185i	$-0.558456\pi$
$647$	−9.29005			−0.365230			−0.182615	+	0.983185i	$0.558456\pi$
$648$	10.1533	−	6.54825i	0.398860	−	0.257239i
$649$	4.07599	+	1.48354i	0.159997	+	0.0582340i
$650$	−0.280645	−	0.884359i	−0.0110078	−	0.0346874i
$651$	−8.11538	+	1.43096i	−0.318067	+	0.0560838i
$652$	15.4279	+	4.07249i	0.604204	+	0.159491i
$653$	15.2943	+	8.83018i	0.598513	+	0.345552i	0.768456	−	0.639902i	$-0.221025\pi$
$653$	15.2943	+	8.83018i	0.598513	+	0.345552i	−0.169943	+	0.985454i	$0.554358\pi$
$654$	11.1379	−	17.5548i	0.435525	−	0.686449i
$655$	−19.6925	−	16.5240i	−0.769451	−	0.645646i
$656$	−4.65550	+	13.0929i	−0.181767	+	0.511193i
$657$	−19.4663	−	33.7165i	−0.759451	−	1.31541i
$658$	−20.4274	−	0.853845i	−0.796343	−	0.0332863i
$659$	5.10305	+	14.0205i	0.198786	+	0.546161i	0.998531	−	0.0541788i	$-0.0172541\pi$
$659$	5.10305	+	14.0205i	0.198786	+	0.546161i	−0.799745	+	0.600340i	$0.795032\pi$
$660$	2.41604	−	5.23190i	0.0940443	−	0.203652i
$661$	−14.1252	−	2.49066i	−0.549408	−	0.0968754i	−0.107948	−	0.994157i	$-0.534428\pi$
$661$	−14.1252	−	2.49066i	−0.549408	−	0.0968754i	−0.441460	+	0.897281i	$0.645539\pi$
$662$	−4.14684	+	0.553784i	−0.161171	+	0.0215234i
$663$	−9.09584	+	7.63232i	−0.353253	+	0.296415i
$664$	4.31092	−	34.2179i	0.167296	−	1.32791i
$665$	15.0649	−	5.87518i	0.584193	−	0.227830i
$666$	5.41306	−	2.83066i	0.209752	−	0.109686i
$667$	−11.9968	−	14.2972i	−0.464517	−	0.553590i
$668$	8.11687	−	5.72858i	0.314051	−	0.221645i
$669$	11.5681	+	2.03976i	0.447247	+	0.0788617i
$670$	8.51943	−	6.56238i	0.329134	−	0.253527i
$671$	1.22948	−	0.447493i	0.0474634	−	0.0172753i
$672$	6.86491	−	2.23484i	0.264820	−	0.0862109i
$673$	0.830347	+	1.43820i	0.0320075	+	0.0554386i	0.881585	−	0.472024i	$-0.156477\pi$
$673$	0.830347	+	1.43820i	0.0320075	+	0.0554386i	−0.849578	+	0.527463i	$0.823143\pi$
$674$	−1.26301	+	5.74762i	−0.0486495	+	0.221390i
$675$	−0.697264	+	0.830966i	−0.0268377	+	0.0319839i
$676$	13.8229	+	1.15759i	0.531649	+	0.0445226i
$677$	26.8644	+	15.5102i	1.03248	+	0.596104i	0.917695	−	0.397286i	$-0.130048\pi$
$677$	26.8644	+	15.5102i	1.03248	+	0.596104i	0.114787	+	0.993390i	$0.463381\pi$
$678$	7.46499	−	8.17706i	0.286691	−	0.314038i
$679$	2.22056	+	12.5934i	0.0852173	+	0.483291i
$680$	−37.8719	−	11.7092i	−1.45232	−	0.449028i
$681$	−18.5782	−	6.76192i	−0.711919	−	0.259117i
$682$	6.15517	−	14.9384i	0.235693	−	0.572019i
$683$		−	11.2171i		−	0.429209i	−0.976701	−	0.214605i	$-0.931154\pi$
$683$		−	11.2171i		−	0.429209i	0.976701	−	0.214605i	$-0.0688463\pi$
$684$	14.6358	−	15.4328i	0.559614	−	0.590087i
$685$		−	5.56436i		−	0.212603i
$686$	24.7311	+	10.1901i	0.944237	+	0.389061i
$687$	−2.36980	−	0.862538i	−0.0904136	−	0.0329079i
$688$	−5.35638	−	29.1104i	−0.204210	−	1.10982i
$689$	0.858324	+	4.86780i	0.0326995	+	0.185448i
$690$	−4.28678	−	3.91348i	−0.163195	−	0.148984i
$691$	9.91035	+	5.72174i	0.377007	+	0.217665i	0.676515	−	0.736428i	$-0.263489\pi$
$691$	9.91035	+	5.72174i	0.377007	+	0.217665i	−0.299508	+	0.954094i	$0.596823\pi$
$692$	−0.981508	+	11.7203i	−0.0373113	+	0.445539i
$693$	−4.73113	+	5.63834i	−0.179721	+	0.214183i
$694$	29.2425	+	6.42591i	1.11003	+	0.243924i
$695$	14.1977	+	24.5911i	0.538549	+	0.932795i
$696$	9.47441	−	12.4909i	0.359127	−	0.473466i
$697$	21.0289	−	7.65390i	0.796527	−	0.289912i
$698$	−11.0525	−	14.3486i	−0.418344	−	0.543104i
$699$	7.58038	+	1.33663i	0.286716	+	0.0505558i
$700$	0.742259	−	0.523858i	0.0280547	−	0.0198000i
$701$	−18.4889	−	22.0342i	−0.698315	−	0.832219i	0.294020	−	0.955799i	$-0.405007\pi$
$701$	−18.4889	−	22.0342i	−0.698315	−	0.832219i	−0.992335	+	0.123580i	$0.960562\pi$
$702$	6.57103	+	12.5657i	0.248007	+	0.474264i
$703$	5.79710	−	5.09382i	0.218642	−	0.192117i
$704$	−3.51085	+	13.7125i	−0.132320	+	0.516810i
$705$	−10.5775	+	8.87555i	−0.398371	+	0.334273i
$706$	−1.26743	−	9.49076i	−0.0477004	−	0.357190i
$707$	22.3429	+	3.93966i	0.840292	+	0.148166i
$708$	3.33182	+	1.53860i	0.125218	+	0.0578243i
$709$	−10.6030	−	29.1316i	−0.398205	−	1.09406i	−0.963158	−	0.268936i	$-0.913328\pi$
$709$	−10.6030	−	29.1316i	−0.398205	−	1.09406i	0.564953	−	0.825123i	$-0.308894\pi$
$710$	−1.28422	+	30.7237i	−0.0481960	+	1.15304i
$711$	11.9661	+	20.7258i	0.448763	+	0.777280i
$712$	0.942467	+	1.01708i	0.0353205	+	0.0381166i
$713$	−12.4662	−	10.4604i	−0.466864	−	0.391745i
$714$	−9.81731	−	6.22870i	−0.367404	−	0.233103i
$715$	−8.20982	−	4.73994i	−0.307030	−	0.177264i
$716$	−26.5892	−	7.01873i	−0.993686	−	0.262302i
$717$	−2.17673	+	0.383816i	−0.0812914	+	0.0143339i
$718$	1.42903	−	0.453494i	0.0533311	−	0.0169243i
$719$	−13.6987	−	4.98590i	−0.510874	−	0.185943i	0.0737047	−	0.997280i	$-0.476518\pi$
$719$	−13.6987	−	4.98590i	−0.510874	−	0.185943i	−0.584578	+	0.811337i	$0.698740\pi$
$720$	−10.4792	+	18.4662i	−0.390537	+	0.688195i
$721$	−8.02142			−0.298733
$722$	13.3468	−	23.3209i	0.496715	−	0.867914i
$723$			5.19504i			0.193205i
$724$	46.0028	−	4.19709i	1.70968	−	0.155983i
$725$	0.674758	−	1.85388i	0.0250599	−	0.0688514i
$726$	−2.51967	−	7.93989i	−0.0935138	−	0.294677i
$727$	−2.29239	−	13.0008i	−0.0850201	−	0.482173i	−0.997352	−	0.0727220i	$-0.976831\pi$
$727$	−2.29239	−	13.0008i	−0.0850201	−	0.482173i	0.912332	−	0.409451i	$-0.134280\pi$
$728$	−2.63508	−	11.5802i	−0.0976626	−	0.429189i
$729$	−0.639240	+	1.10720i	−0.0236756	+	0.0410073i
$730$	41.4592	+	26.3042i	1.53447	+	0.973564i
$731$	−30.6399	+	36.5152i	−1.13326	+	1.35056i
$732$	1.06820	−	0.290483i	0.0394818	−	0.0107366i
$733$	0.562220	−	0.324598i	0.0207661	−	0.0119893i	−0.489581	−	0.871958i	$-0.662850\pi$
$733$	0.562220	−	0.324598i	0.0207661	−	0.0119893i	0.510347	+	0.859969i	$0.329517\pi$
$734$	5.10257	+	0.213282i	0.188339	+	0.00787239i
$735$	6.26317	−	2.27961i	0.231020	−	0.0840846i
$736$	12.0950	+	7.54829i	0.445828	+	0.278234i
$737$	−1.07384	+	6.09005i	−0.0395554	+	0.224330i
$738$	−1.58662	−	11.8809i	−0.0584043	−	0.437342i
$739$	−27.1907	−	32.4046i	−1.00023	−	1.19202i	−0.981356	−	0.192200i	$-0.938438\pi$
$739$	−27.1907	−	32.4046i	−1.00023	−	1.19202i	−0.0188698	−	0.999822i	$-0.506007\pi$
$740$	−4.39519	+	6.32691i	−0.161571	+	0.232582i
$741$	5.30341	+	6.03561i	0.194826	+	0.221724i
$742$	−4.28894	+	2.24282i	−0.157452	+	0.0823366i
$743$	−35.7421	+	29.9912i	−1.31125	+	1.10027i	−0.323169	+	0.946341i	$0.604748\pi$
$743$	−35.7421	+	29.9912i	−1.31125	+	1.10027i	−0.988082	+	0.153929i	$0.950807\pi$
$744$	6.24433	−	12.1603i	0.228928	−	0.445818i
$745$	4.07436	−	23.1068i	0.149273	−	0.846569i
$746$	−1.12152	−	1.45598i	−0.0410616	−	0.0533071i
$747$	10.1747	+	27.9548i	0.372274	+	1.02281i
$748$	20.6237	−	9.71046i	0.754076	−	0.355050i
$749$	9.95964	−	5.75020i	0.363917	−	0.210108i
$750$	2.60315	−	11.8462i	0.0950537	−	0.432562i
$751$	7.48574	+	6.28128i	0.273158	+	0.229207i	0.769068	−	0.639167i	$-0.220721\pi$
$751$	7.48574	+	6.28128i	0.273158	+	0.229207i	−0.495909	+	0.868374i	$0.665165\pi$
$752$	21.6067	−	26.1421i	0.787915	−	0.953305i
$753$	7.14729	−	12.3795i	0.260462	−	0.451133i
$754$	−19.0466	−	17.3879i	−0.693635	−	0.633231i
$755$	49.1597	−	8.66818i	1.78911	−	0.315468i
$756$	−9.78152	+	9.85451i	−0.355751	+	0.358405i
$757$	−16.8979	+	46.4265i	−0.614164	+	1.68740i	0.106672	+	0.994294i	$0.465981\pi$
$757$	−16.8979	+	46.4265i	−0.614164	+	1.68740i	−0.720835	+	0.693106i	$0.756242\pi$
$758$	−16.7307	+	40.6048i	−0.607687	+	1.47483i
$759$	3.33785			0.121156
$760$	−7.33742	+	25.8005i	−0.266156	+	0.935884i
$761$	−6.41656			−0.232600			−0.116300	−	0.993214i	$-0.537103\pi$
$761$	−6.41656			−0.232600			−0.116300	+	0.993214i	$0.537103\pi$
$762$	−5.69881	+	13.8308i	−0.206446	+	0.501037i
$763$	11.4534	−	31.4680i	0.414642	−	1.13922i
$764$	25.5210	+	25.3320i	0.923318	+	0.916479i
$765$	33.6738	−	5.93759i	1.21748	−	0.214674i
$766$	2.66282	+	2.43093i	0.0962114	+	0.0878331i
$767$	3.01853	−	5.22824i	0.108993	−	0.188781i
$768$	−3.92829	+	11.3135i	−0.141750	+	0.408240i
$769$	19.3441	+	16.2316i	0.697567	+	0.585328i	0.921080	−	0.389373i	$-0.127308\pi$
$769$	19.3441	+	16.2316i	0.697567	+	0.585328i	−0.223513	+	0.974701i	$0.571753\pi$
$770$	1.99225	−	9.06617i	0.0717957	−	0.326722i
$771$	15.9773	−	9.22448i	0.575407	−	0.332211i
$772$	−4.36927	−	9.27972i	−0.157253	−	0.333984i
$773$	7.95249	+	21.8493i	0.286031	+	0.785865i	0.996612	+	0.0822487i	$0.0262102\pi$
$773$	7.95249	+	21.8493i	0.286031	+	0.785865i	−0.710581	+	0.703616i	$0.751568\pi$
$774$	15.5802	+	20.2266i	0.560020	+	0.727030i
$775$	0.298711	−	1.69407i	0.0107300	−	0.0608529i
$776$	−18.8703	−	9.68992i	−0.677405	−	0.347848i
$777$	−1.73087	+	1.45237i	−0.0620945	+	0.0521035i
$778$	−44.2540	+	23.1418i	−1.58658	+	0.829674i
$779$	−5.50195	−	14.1079i	−0.197128	−	0.505468i
$780$	−6.58723	−	4.57603i	−0.235861	−	0.163848i
$781$	−11.3665	−	13.5460i	−0.406724	−	0.484715i
$782$	−3.03920	−	22.7581i	−0.108681	−	0.813827i
$783$	−5.23580	+	29.6937i	−0.187112	+	1.06117i
$784$	−14.1166	+	8.29073i	−0.504163	+	0.296098i
$785$	−8.57939	+	3.12264i	−0.306211	+	0.111452i
$786$	12.4963	+	0.522335i	0.445730	+	0.0186311i
$787$	14.5878	−	8.42229i	0.520000	−	0.300222i	−0.216935	−	0.976186i	$-0.569606\pi$
$787$	14.5878	−	8.42229i	0.520000	−	0.300222i	0.736935	+	0.675964i	$0.236272\pi$
$788$	10.7229	+	39.4314i	0.381986	+	1.40468i
$789$	−13.4945	+	16.0821i	−0.480416	+	0.572537i
$790$	−25.4853	−	16.1694i	−0.906728	−	0.575283i
$791$	8.91718	−	15.4450i	0.317058	−	0.549161i
$792$	−2.70908	−	11.9053i	−0.0962628	−	0.423037i
$793$	−0.316215	−	1.79334i	−0.0112291	−	0.0636835i
$794$	−0.734585	−	2.31479i	−0.0260694	−	0.0821490i
$795$	−1.11797	+	3.07160i	−0.0396503	+	0.108938i
$796$	−2.81110	−	30.8115i	−0.0996368	−	1.09208i
$797$		−	25.8382i		−	0.915236i	−0.889149	−	0.457618i	$-0.848703\pi$
$797$		−	25.8382i		−	0.915236i	0.889149	−	0.457618i	$-0.151297\pi$
$798$	−4.06233	+	6.73734i	−0.143805	+	0.238499i
$799$	−54.6185			−1.93226
$800$	−0.0517432	+	1.50618i	−0.00182940	+	0.0532513i
$801$	−1.12393	−	0.409077i	−0.0397121	−	0.0144540i
$802$	1.11319	−	0.353263i	0.0393081	−	0.0124742i
$803$	−27.8058	+	4.90291i	−0.981245	+	0.173020i
$804$	−1.33538	+	5.05885i	−0.0470953	+	0.178412i
$805$	−8.09696	−	4.67478i	−0.285380	−	0.164764i
$806$	−18.9878	−	12.0470i	−0.668816	−	0.424337i
$807$	16.2020	+	13.5951i	0.570339	+	0.478571i
$808$	−27.6054	+	25.5803i	−0.971154	+	0.899912i
$809$	8.06314	+	13.9658i	0.283485	+	0.491010i	0.972241	−	0.233983i	$-0.0751761\pi$
$809$	8.06314	+	13.9658i	0.283485	+	0.491010i	−0.688756	+	0.724993i	$0.741843\pi$
$810$	0.548887	−	13.1316i	0.0192859	−	0.461397i
$811$	−9.65274	−	26.5207i	−0.338954	−	0.931267i	−0.985692	−	0.168556i	$-0.946090\pi$
$811$	−9.65274	−	26.5207i	−0.338954	−	0.931267i	0.646739	−	0.762712i	$-0.276132\pi$
$812$	10.5871	−	22.9263i	0.371535	−	0.804554i
$813$	−4.69194	−	0.827315i	−0.164553	−	0.0290152i
$814$	−0.586396	−	4.39104i	−0.0205532	−	0.153906i
$815$	13.2970	−	11.1575i	0.465773	−	0.390830i
$816$	18.0740	−	6.73096i	0.632715	−	0.235631i
$817$	25.1745	+	20.1648i	0.880745	+	0.705476i
$818$	1.68148	+	3.21549i	0.0587916	+	0.112427i
$819$	6.58480	+	7.84746i	0.230092	+	0.274213i
$820$	8.71650	+	12.3505i	0.304393	+	0.431298i
$821$	20.8238	+	3.67179i	0.726755	+	0.128146i	0.524772	−	0.851243i	$-0.324150\pi$
$821$	20.8238	+	3.67179i	0.726755	+	0.128146i	0.201982	+	0.979389i	$0.435262\pi$
$822$	1.65206	+	2.14475i	0.0576223	+	0.0748066i
$823$	8.88714	−	3.23466i	0.309786	−	0.112753i	−0.182449	−	0.983215i	$-0.558402\pi$
$823$	8.88714	−	3.23466i	0.309786	−	0.112753i	0.492235	+	0.870462i	$0.336180\pi$
$824$	8.04137	−	10.6016i	0.280134	−	0.369324i
$825$	0.176415	+	0.305560i	0.00614199	+	0.0106382i
$826$	5.77359	+	1.26872i	0.200889	+	0.0441445i
$827$	4.99117	−	5.94825i	0.173560	−	0.206841i	−0.672251	−	0.740323i	$-0.734672\pi$
$827$	4.99117	−	5.94825i	0.173560	−	0.206841i	0.845811	+	0.533482i	$0.179117\pi$
$828$	−12.2550	−	1.02629i	−0.425891	−	0.0356659i
$829$	−1.84492	−	1.06517i	−0.0640768	−	0.0369947i	0.467619	−	0.883930i	$-0.345112\pi$
$829$	−1.84492	−	1.06517i	−0.0640768	−	0.0369947i	−0.531696	+	0.846935i	$0.678445\pi$
$830$	−27.7081	−	25.2952i	−0.961762	−	0.878010i
$831$	0.518393	+	2.93995i	0.0179828	+	0.101986i
$832$	17.9467	+	8.12628i	0.622189	+	0.281728i
$833$	24.7745	+	9.01720i	0.858387	+	0.312427i
$834$	−12.7735	−	5.26318i	−0.442311	−	0.182249i
$835$		−	10.8075i		−	0.374008i
$836$	−6.88695	−	13.8021i	−0.238190	−	0.477354i
$837$			26.2904i			0.908728i
$838$	−1.04421	+	2.53426i	−0.0360717	+	0.0875447i
$839$	22.2127	+	8.08475i	0.766867	+	0.279117i	0.695685	−	0.718347i	$-0.255101\pi$
$839$	22.2127	+	8.08475i	0.766867	+	0.279117i	0.0711815	+	0.997463i	$0.477323\pi$
$840$	2.31985	−	7.50325i	0.0800425	−	0.258887i
$841$	−4.48667	−	25.4452i	−0.154713	−	0.877419i
$842$	−1.92613	+	2.10986i	−0.0663788	+	0.0727106i
$843$	−13.0149	−	7.51415i	−0.448256	−	0.258801i
$844$	−3.57013	+	42.6313i	−0.122889	+	1.46743i
$845$	9.69949	−	11.5594i	0.333673	−	0.397656i
$846$	−6.27880	+	28.5730i	−0.215869	+	0.982361i
$847$	−6.70887	−	11.6201i	−0.230520	−	0.399272i
$848$	1.33536	−	7.91693i	0.0458565	−	0.271869i
$849$	13.0549	−	4.75161i	0.448044	−	0.163075i
$850$	1.92273	−	1.48105i	0.0659492	−	0.0507997i
$851$	−4.39425	−	0.774826i	−0.150633	−	0.0265607i
$852$	−8.62691	−	12.2235i	−0.295553	−	0.418772i
$853$	8.36486	+	9.96886i	0.286408	+	0.341327i	0.889996	−	0.455969i	$-0.150707\pi$
$853$	8.36486	+	9.96886i	0.286408	+	0.341327i	−0.603588	+	0.797296i	$0.706263\pi$
$854$	1.58009	−	0.826278i	0.0540695	−	0.0282746i
$855$	−4.53579	−	22.6885i	−0.155121	−	0.775931i
$856$	−2.38460	+	18.9278i	−0.0815040	+	0.646938i
$857$	27.9742	−	23.4731i	0.955580	−	0.801827i	−0.0246480	−	0.999696i	$-0.507847\pi$
$857$	27.9742	−	23.4731i	0.955580	−	0.801827i	0.980228	+	0.197869i	$0.0634021\pi$
$858$	4.57171	−	0.610523i	0.156076	−	0.0208429i
$859$	16.8682	+	2.97432i	0.575535	+	0.101482i	0.453837	−	0.891085i	$-0.350055\pi$
$859$	16.8682	+	2.97432i	0.575535	+	0.101482i	0.121698	+	0.992567i	$0.461166\pi$
$860$	−29.2326	−	13.4993i	−0.996825	−	0.460324i
$861$	1.51640	+	4.16628i	0.0516789	+	0.141987i
$862$	−5.71873	−	0.239037i	−0.194781	−	0.00814164i
$863$	−3.15825	−	5.47025i	−0.107508	−	0.186210i	0.807252	−	0.590207i	$-0.200954\pi$
$863$	−3.15825	−	5.47025i	−0.107508	−	0.186210i	−0.914760	+	0.403997i	$0.867621\pi$
$864$	−3.21847	−	22.8069i	−0.109494	−	0.775906i
$865$	9.80110	+	8.22410i	0.333248	+	0.279628i
$866$	−11.2850	+	17.7868i	−0.383480	+	0.604418i
$867$	−15.8787	−	9.16758i	−0.539269	−	0.311347i
$868$	5.61978	−	21.2895i	0.190748	−	0.722614i
$869$	17.0925	−	3.01386i	0.579822	−	0.102238i
$870$	−5.15867	−	16.2558i	−0.174895	−	0.551124i
$871$	8.08784	+	2.94373i	0.274046	+	0.0997446i
$872$	30.1082	+	46.6839i	1.01959	+	1.58092i
$873$	18.2977			0.619284
$874$	−15.3488	+	2.40679i	−0.519181	+	0.0814110i
$875$		−	19.5366i		−	0.660458i
$876$	−23.7899	+	2.17049i	−0.803788	+	0.0733339i
$877$	10.5095	−	28.8745i	0.354879	−	0.975022i	−0.625901	−	0.779903i	$-0.715268\pi$
$877$	10.5095	−	28.8745i	0.354879	−	0.975022i	0.980780	−	0.195119i	$-0.0625094\pi$
$878$	−24.0272	+	7.62488i	−0.810879	+	0.257327i
$879$	−0.262728	−	1.49001i	−0.00886160	−	0.0502566i
$880$	9.98519	+	11.7218i	0.336601	+	0.395142i
$881$	−18.8960	+	32.7289i	−0.636624	+	1.10266i	0.349545	+	0.936920i	$0.386336\pi$
$881$	−18.8960	+	32.7289i	−0.636624	+	1.10266i	−0.986169	+	0.165745i	$0.946997\pi$
$882$	7.56526	−	11.9239i	0.254736	−	0.401500i
$883$	−26.3755	+	31.4331i	−0.887607	+	1.05781i	0.110348	+	0.993893i	$0.464803\pi$
$883$	−26.3755	+	31.4331i	−0.887607	+	1.05781i	−0.997955	+	0.0639160i	$0.979641\pi$
$884$	−8.32532	−	30.6149i	−0.280011	−	1.02969i
$885$	3.45743	−	1.99615i	0.116220	−	0.0670997i
$886$	0.744468	−	17.8107i	0.0250109	−	0.598361i
$887$	−12.3474	+	4.49409i	−0.414585	+	0.150897i	−0.540887	−	0.841095i	$-0.681911\pi$
$887$	−12.3474	+	4.49409i	−0.414585	+	0.150897i	0.126302	+	0.991992i	$0.459689\pi$
$888$	−0.184367	−	3.74360i	−0.00618696	−	0.125627i
$889$	−4.18406	+	23.7290i	−0.140329	+	0.795845i
$890$	1.49514	−	0.199667i	0.0501172	−	0.00669284i
$891$	4.85812	+	5.78968i	0.162753	+	0.193962i
$892$	−17.9069	+	25.7771i	−0.599568	+	0.863082i
$893$	0.841911	+	36.9489i	0.0281735	+	1.23645i
$894$	5.29001	+	10.1161i	0.176924	+	0.338332i
$895$	−22.9167	+	19.2294i	−0.766020	+	0.642767i
$896$	−2.26889	+	19.1566i	−0.0757984	+	0.639978i
$897$	0.806705	−	4.57505i	0.0269351	−	0.152757i
$898$	−26.0938	+	20.0996i	−0.870761	+	0.670733i
$899$	−16.3537	−	44.9313i	−0.545425	−	1.49854i
$900$	−0.553763	−	1.17611i	−0.0184588	−	0.0392038i
$901$	−11.1975	+	6.46487i	−0.373042	+	0.215376i
$902$	−8.49022	−	1.86569i	−0.282693	−	0.0621206i
$903$	−7.23446	−	6.07043i	−0.240748	−	0.202011i
$904$	11.4737	+	27.2689i	0.381610	+	0.906951i
$905$	25.1258	−	43.5191i	0.835209	−	1.44662i
$906$	−16.3747	+	17.9367i	−0.544013	+	0.595906i
$907$	3.84659	−	0.678257i	0.127724	−	0.0225212i	−0.109421	−	0.993996i	$-0.534900\pi$
$907$	3.84659	−	0.678257i	0.127724	−	0.0225212i	0.237145	+	0.971474i	$0.423788\pi$
$908$	37.2150	−	37.4927i	1.23502	−	1.24424i
$909$	11.1031	−	30.5055i	0.368267	−	1.01181i
$910$	−11.9451	−	4.92184i	−0.395977	−	0.163157i
$911$	15.4475			0.511799			0.255900	−	0.966703i	$-0.417628\pi$
$911$	15.4475			0.511799			0.255900	+	0.966703i	$0.417628\pi$
$912$	−4.83204	−	12.1231i	−0.160005	−	0.401437i
$913$	21.5746			0.714015
$914$	24.8940	+	10.2573i	0.823421	+	0.339280i
$915$	0.411871	−	1.13161i	0.0136160	−	0.0374097i
$916$	4.74708	−	4.78250i	0.156848	−	0.158018i
$917$	19.8401	−	3.49834i	0.655176	−	0.115525i
$918$	−25.0086	+	27.3942i	−0.825408	+	0.904143i
$919$	−18.1357	+	31.4120i	−0.598242	+	1.03619i	0.394839	+	0.918750i	$0.370800\pi$
$919$	−18.1357	+	31.4120i	−0.598242	+	1.03619i	−0.993081	+	0.117435i	$0.962533\pi$
$920$	14.2956	−	6.01503i	0.471312	−	0.198310i
$921$	14.2184	+	11.9306i	0.468512	+	0.393128i
$922$	−24.2985	−	5.33948i	−0.800227	−	0.175846i
$923$	−21.3141	+	12.3057i	−0.701561	+	0.405046i
$924$	1.92385	+	4.08600i	0.0632901	+	0.134419i
$925$	−0.161319	−	0.443219i	−0.00530413	−	0.0145730i
$926$	−24.5655	+	18.9224i	−0.807271	+	0.621828i
$927$	−1.99309	+	11.3033i	−0.0654615	+	0.371251i
$928$	19.6873	+	36.9759i	0.646267	+	1.21379i
$929$	0.892298	−	0.748727i	0.0292753	−	0.0245649i	−0.628033	−	0.778187i	$-0.716140\pi$
$929$	0.892298	−	0.748727i	0.0292753	−	0.0245649i	0.657308	+	0.753622i	$0.271695\pi$
$930$	−6.89099	−	13.1776i	−0.225964	−	0.432111i
$931$	5.71818	−	16.8988i	0.187406	−	0.553835i
$932$	−11.7341	+	16.8914i	−0.384365	+	0.553295i
$933$	−12.6436	−	15.0681i	−0.413933	−	0.493307i
$934$	−50.9207	+	6.80014i	−1.66618	+	0.222507i
$935$	4.30608	−	24.4210i	0.140824	−	0.798651i
$936$	−16.9729	+	0.835890i	−0.554776	+	0.0273219i
$937$	40.8373	−	14.8635i	1.33410	−	0.485571i	0.426147	−	0.904654i	$-0.359871\pi$
$937$	40.8373	−	14.8635i	1.33410	−	0.485571i	0.907948	+	0.419083i	$0.137648\pi$
$938$	−0.351961	+	8.42033i	−0.0114919	+	0.274934i
$939$	−6.98026	+	4.03006i	−0.227792	+	0.131516i
$940$	−9.68143	−	35.6017i	−0.315774	−	1.16120i
$941$	1.66255	−	1.98135i	0.0541977	−	0.0645903i	−0.738265	−	0.674511i	$-0.764354\pi$
$941$	1.66255	−	1.98135i	0.0541977	−	0.0645903i	0.792462	+	0.609921i	$0.208799\pi$
$942$	2.37975	−	3.75083i	0.0775365	−	0.122209i
$943$	−4.37781	+	7.58259i	−0.142561	+	0.246923i
$944$	−7.46478	+	6.35885i	−0.242958	+	0.206963i
$945$	2.62287	+	14.8751i	0.0853221	+	0.483885i
$946$	17.6487	−	5.60069i	0.573808	−	0.182094i
$947$	−18.5494	+	50.9642i	−0.602776	+	1.65611i	0.142847	+	0.989745i	$0.454374\pi$
$947$	−18.5494	+	50.9642i	−0.602776	+	1.65611i	−0.745623	+	0.666368i	$0.767848\pi$
$948$	14.6239	−	1.33422i	0.474962	−	0.0433333i
$949$			39.2972i			1.27564i
$950$	−1.03156	−	1.27788i	−0.0334681	−	0.0414601i
$951$	16.3419			0.529923
$952$	26.1073	−	16.8376i	0.846144	−	0.545709i
$953$	10.2109	+	3.71647i	0.330764	+	0.120388i	0.502064	−	0.864831i	$-0.332574\pi$
$953$	10.2109	+	3.71647i	0.330764	+	0.120388i	−0.171299	+	0.985219i	$0.554797\pi$
$954$	2.09479	+	6.60102i	0.0678213	+	0.213716i
$955$	38.5231	−	6.79266i	1.24658	−	0.219805i
$956$	1.50735	−	5.71033i	0.0487512	−	0.184685i
$957$	8.49337	+	4.90365i	0.274552	+	0.158512i
$958$	13.3522	−	21.0449i	0.431390	−	0.679931i
$959$	3.34051	+	2.80302i	0.107871	+	0.0905143i
$960$	7.59113	+	10.5880i	0.245003	+	0.341725i
$961$	−5.34576	−	9.25913i	−0.172444	−	0.298682i
$962$	−6.16034	−	0.257496i	−0.198617	−	0.00830201i
$963$	−5.62820	−	15.4633i	−0.181366	−	0.498299i
$964$	−12.6023	−	5.81960i	−0.405892	−	0.187437i
$965$	−10.9883	−	1.93754i	−0.353727	−	0.0623717i
$966$	4.50887	−	0.602131i	0.145070	−	0.0193733i
$967$	−34.1884	+	28.6875i	−1.09943	+	0.922528i	−0.997386	−	0.0722525i	$-0.976981\pi$
$967$	−34.1884	+	28.6875i	−1.09943	+	0.922528i	−0.102040	+	0.994780i	$0.532537\pi$
$968$	22.0834	+	2.78216i	0.709788	+	0.0894221i
$969$	−10.0912	+	18.4360i	−0.324176	+	0.592250i
$970$	−20.4490	+	10.6934i	−0.656577	+	0.343345i
$971$	−22.6598	−	27.0049i	−0.727187	−	0.866628i	0.268121	−	0.963385i	$-0.413597\pi$
$971$	−22.6598	−	27.0049i	−0.727187	−	0.866628i	−0.995308	+	0.0967571i	$0.969153\pi$
$972$	17.7740	+	25.1841i	0.570101	+	0.807782i
$973$	−21.9151	−	3.86422i	−0.702565	−	0.123881i
$974$	−0.756819	+	0.582965i	−0.0242500	+	0.0186794i
$975$	0.461456	−	0.167956i	0.0147784	−	0.00537890i
$976$	−0.491960	+	2.91667i	−0.0157473	+	0.0933605i
$977$	−25.2280	−	43.6962i	−0.807115	−	1.39796i	−0.914854	−	0.403786i	$-0.867694\pi$
$977$	−25.2280	−	43.6962i	−0.807115	−	1.39796i	0.107738	−	0.994179i	$-0.465639\pi$
$978$	−1.81256	+	8.24847i	−0.0579594	+	0.263757i
$979$	−0.557561	+	0.664476i	−0.0178197	+	0.0212367i
$980$	−1.48621	+	17.7470i	−0.0474754	+	0.566908i
$981$	−41.4972	−	23.9584i	−1.32490	−	0.764934i
$982$	−8.79404	+	9.63290i	−0.280629	+	0.307398i
$983$	0.873927	+	4.95628i	0.0278739	+	0.158081i	0.995568	−	0.0940475i	$-0.0299806\pi$
$983$	0.873927	+	4.95628i	0.0278739	+	0.158081i	−0.967694	+	0.252128i	$0.918869\pi$
$984$	−7.02659	−	2.17248i	−0.223999	−	0.0692561i
$985$	41.7720	+	15.2038i	1.33097	+	0.484432i
$986$	25.7005	−	62.3742i	0.818471	−	1.98640i
$987$		−	10.8211i		−	0.344440i
$988$	−20.5824	+	6.10392i	−0.654812	+	0.194191i
$989$		−	18.6499i		−	0.593031i
$990$	−12.2805	−	5.06005i	−0.390301	−	0.160819i
$991$	−50.4247	−	18.3531i	−1.60179	−	0.583005i	−0.622000	−	0.783017i	$-0.713680\pi$
$991$	−50.4247	−	18.3531i	−1.60179	−	0.583005i	−0.979794	+	0.200012i	$0.935902\pi$
$992$	22.5038	+	28.7699i	0.714495	+	0.913446i
$993$	−0.384508	−	2.18065i	−0.0122020	−	0.0692010i
$994$	−17.7978	−	16.2479i	−0.564511	−	0.515352i
$995$	−29.1480	−	16.8286i	−0.924054	−	0.533503i
$996$	18.1901	+	1.52332i	0.576375	+	0.0482681i
$997$	−34.4204	+	41.0206i	−1.09010	+	1.29914i	−0.138990	+	0.990294i	$0.544386\pi$
$997$	−34.4204	+	41.0206i	−1.09010	+	1.29914i	−0.951113	+	0.308842i	$0.900059\pi$
$998$	−0.910801	−	0.200145i	−0.0288309	−	0.00633546i
$999$	3.60429	+	6.24281i	0.114035	+	0.197514i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	152.2.t.a.101.3	✓	108
4.3	odd	2		608.2.bf.a.177.8		108
8.3	odd	2		608.2.bf.a.177.11		108
8.5	even	2	inner	152.2.t.a.101.12	yes	108
19.16	even	9	inner	152.2.t.a.149.12	yes	108
76.35	odd	18		608.2.bf.a.529.11		108
152.35	odd	18		608.2.bf.a.529.8		108
152.149	even	18	inner	152.2.t.a.149.3	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
152.2.t.a.101.3	✓	108	1.1	even	1	trivial
152.2.t.a.101.12	yes	108	8.5	even	2	inner
152.2.t.a.149.3	yes	108	152.149	even	18	inner
152.2.t.a.149.12	yes	108	19.16	even	9	inner
608.2.bf.a.177.8		108	4.3	odd	2
608.2.bf.a.177.11		108	8.3	odd	2
608.2.bf.a.529.8		108	152.35	odd	18
608.2.bf.a.529.11		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+(-1.30757 - 0.538767i) q^{2} +(0.256004 - 0.703365i) q^{3} +(1.41946 + 1.40895i) q^{4} +(2.14263 - 0.377803i) q^{5} +(-0.713692 + 0.781770i) q^{6} +(-0.852529 + 1.47662i) q^{7} +(-1.09695 - 2.60705i) q^{8} +(1.86895 + 1.56823i) q^{9} +(-3.00518 - 0.660374i) q^{10} +(1.53231 - 0.884678i) q^{11} +(1.35439 - 0.637703i) q^{12} +(-0.842256 - 2.31408i) q^{13} +(1.91029 - 1.47147i) q^{14} +(0.282787 - 1.60377i) q^{15} +(0.0297364 + 3.99989i) q^{16} +(4.93464 - 4.14065i) q^{17} +(-1.59886 - 3.05750i) q^{18} +(-2.87718 - 3.27442i) q^{19} +(3.57368 + 2.48257i) q^{20} +(0.820354 + 0.977660i) q^{21} +(-2.48023 + 0.331219i) q^{22} +(-0.437651 + 2.48204i) q^{23} +(-2.11453 + 0.104138i) q^{24} +(-0.250347 + 0.0911189i) q^{25} +(-0.145444 + 3.47959i) q^{26} +(3.52617 - 2.03584i) q^{27} +(-3.29061 + 0.894840i) q^{28} +(-4.76000 + 5.67275i) q^{29} +(-1.23382 + 1.94468i) q^{30} +(-3.22845 + 5.59184i) q^{31} +(2.11613 - 5.24614i) q^{32} +(-0.229975 - 1.30425i) q^{33} +(-8.68322 + 2.75556i) q^{34} +(-1.26878 + 3.48594i) q^{35} +(0.443340 + 4.85930i) q^{36} +1.77042i q^{37} +(1.99796 + 5.83165i) q^{38} -1.84326 q^{39} +(-3.33530 - 5.17151i) q^{40} +(3.26449 + 1.18818i) q^{41} +(-0.545937 - 1.72033i) q^{42} +(-7.28735 + 1.28496i) q^{43} +(3.42151 + 0.903174i) q^{44} +(4.59695 + 2.65405i) q^{45} +(1.90950 - 3.00964i) q^{46} +(-6.49519 - 5.45011i) q^{47} +(2.82099 + 1.00307i) q^{48} +(2.04639 + 3.54445i) q^{49} +(0.376437 + 0.0157347i) q^{50} +(-1.64910 - 4.53087i) q^{51} +(2.06487 - 4.47144i) q^{52} +(-1.97670 - 0.348545i) q^{53} +(-5.70755 + 0.762207i) q^{54} +(2.94893 - 2.47444i) q^{55} +(4.78481 + 0.602811i) q^{56} +(-3.03968 + 1.18545i) q^{57} +(9.28031 - 4.85297i) q^{58} +(1.57580 + 1.87796i) q^{59} +(2.66103 - 1.87805i) q^{60} +(0.728234 + 0.128407i) q^{61} +(7.23411 - 5.57232i) q^{62} +(-3.90902 + 1.42277i) q^{63} +(-5.59342 + 5.71958i) q^{64} +(-2.67891 - 4.64000i) q^{65} +(-0.401980 + 1.82930i) q^{66} +(-2.24658 + 2.67737i) q^{67} +(12.8385 + 1.07515i) q^{68} +(1.63374 + 0.943240i) q^{69} +(3.53712 - 3.87452i) q^{70} +(-1.73545 - 9.84225i) q^{71} +(2.03833 - 6.59271i) q^{72} +(-14.9953 - 5.45784i) q^{73} +(0.953844 - 2.31494i) q^{74} +0.199412i q^{75} +(0.529433 - 8.70171i) q^{76} +3.01685i q^{77} +(2.41019 + 0.993089i) q^{78} +(9.21773 + 3.35498i) q^{79} +(1.57488 + 8.55904i) q^{80} +(0.741748 + 4.20666i) q^{81} +(-3.62839 - 3.31242i) q^{82} +(10.5599 + 6.09674i) q^{83} +(-0.213011 + 2.54358i) q^{84} +(9.00874 - 10.7362i) q^{85} +(10.2210 + 2.24602i) q^{86} +(2.77143 + 4.80026i) q^{87} +(-3.98725 - 3.02436i) q^{88} +(-0.460676 + 0.167672i) q^{89} +(-4.58090 - 5.94703i) q^{90} +(4.13507 + 0.729125i) q^{91} +(-4.11829 + 2.90653i) q^{92} +(3.10661 + 3.70231i) q^{93} +(5.55656 + 10.6258i) q^{94} +(-7.40182 - 5.92885i) q^{95} +(-3.14821 - 2.83144i) q^{96} +(5.74523 - 4.82082i) q^{97} +(-0.766158 - 5.73713i) q^{98} +(4.25119 + 0.749599i) 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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