LMFDB - Embedded newform 144.2.u.a.131.7

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [144,2,Mod(11,144)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("144.11"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(144, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([6, 3, 2])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 144 = 2^{4} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	144.u (of order $12$, degree $4$, 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:	$1.14984578911$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			131.7
Character	$\chi$	$=$	144.131
Dual form			144.2.u.a.11.7

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.990880 - 1.00904i) q^{2} +(-0.800065 - 1.53620i) q^{3} +(-0.0363133 + 1.99967i) q^{4} +(3.73424 - 1.00059i) q^{5} +(-0.757311 + 2.32948i) q^{6} +(-1.68236 - 2.91393i) q^{7} +(2.05372 - 1.94479i) q^{8} +(-1.71979 + 2.45811i) q^{9} +(-4.70981 - 2.77653i) q^{10} +(0.211428 + 0.0566521i) q^{11} +(3.10094 - 1.54408i) q^{12} +(-2.71526 + 0.727551i) q^{13} +(-1.27325 + 4.58492i) q^{14} +(-4.52473 - 4.93599i) q^{15} +(-3.99736 - 0.145229i) q^{16} -4.23937i q^{17} +(4.18444 - 0.700358i) q^{18} +(-1.12365 + 1.12365i) q^{19} +(1.86524 + 7.50358i) q^{20} +(-3.13037 + 4.91577i) q^{21} +(-0.152336 - 0.269474i) q^{22} +(3.33369 + 1.92471i) q^{23} +(-4.63069 - 1.59896i) q^{24} +(8.61325 - 4.97286i) q^{25} +(3.42462 + 2.01888i) q^{26} +(5.15209 + 0.675290i) q^{27} +(5.88800 - 3.25835i) q^{28} +(2.03634 + 0.545635i) q^{29} +(-0.497132 + 9.45659i) q^{30} +(7.21206 + 4.16388i) q^{31} +(3.81437 + 4.17739i) q^{32} +(-0.0821277 - 0.370121i) q^{33} +(-4.27769 + 4.20071i) q^{34} +(-9.19798 - 9.19798i) q^{35} +(-4.85296 - 3.52828i) q^{36} +(-2.66564 + 2.66564i) q^{37} +(2.24720 + 0.0204025i) q^{38} +(3.29004 + 3.58908i) q^{39} +(5.72317 - 9.31725i) q^{40} +(1.70386 - 2.95117i) q^{41} +(8.06202 - 1.71227i) q^{42} +(-1.25664 + 4.68985i) q^{43} +(-0.120963 + 0.420730i) q^{44} +(-3.96257 + 10.9000i) q^{45} +(-1.36119 - 5.27098i) q^{46} +(-2.34998 - 4.07028i) q^{47} +(2.97505 + 6.25692i) q^{48} +(-2.16067 + 3.74239i) q^{49} +(-13.5525 - 3.76358i) q^{50} +(-6.51251 + 3.39177i) q^{51} +(-1.35626 - 5.45604i) q^{52} +(7.58271 + 7.58271i) q^{53} +(-4.42371 - 5.86778i) q^{54} +0.846209 q^{55} +(-9.12210 - 2.71258i) q^{56} +(2.62513 + 0.827151i) q^{57} +(-1.46720 - 2.59540i) q^{58} +(-1.43167 - 5.34305i) q^{59} +(10.0347 - 8.86873i) q^{60} +(-2.33105 + 8.69958i) q^{61} +(-2.94477 - 11.4031i) q^{62} +(10.0561 + 0.875933i) q^{63} +(0.435568 - 7.98813i) q^{64} +(-9.41144 + 5.43370i) q^{65} +(-0.292087 + 0.449615i) q^{66} +(1.38665 + 5.17504i) q^{67} +(8.47735 + 0.153945i) q^{68} +(0.289558 - 6.66110i) q^{69} +(-0.167011 + 18.3952i) q^{70} +7.53614i q^{71} +(1.24854 + 8.39292i) q^{72} -3.22646i q^{73} +(5.33107 + 0.0484011i) q^{74} +(-14.5304 - 9.25302i) q^{75} +(-2.20612 - 2.28773i) q^{76} +(-0.190618 - 0.711397i) q^{77} +(0.361477 - 6.87612i) q^{78} +(4.98587 - 2.87859i) q^{79} +(-15.0724 + 3.45739i) q^{80} +(-3.08462 - 8.45489i) q^{81} +(-4.66616 + 1.20500i) q^{82} +(1.20739 - 4.50604i) q^{83} +(-9.71624 - 6.43822i) q^{84} +(-4.24186 - 15.8308i) q^{85} +(5.97741 - 3.37908i) q^{86} +(-0.790999 - 3.56475i) q^{87} +(0.544392 - 0.294836i) q^{88} +2.96157 q^{89} +(14.9249 - 6.80220i) q^{90} +(6.68807 + 6.68807i) q^{91} +(-3.96984 + 6.59639i) q^{92} +(0.626426 - 14.4105i) q^{93} +(-1.77852 + 6.40437i) q^{94} +(-3.07166 + 5.32027i) q^{95} +(3.36555 - 9.20180i) q^{96} +(-7.63883 - 13.2308i) q^{97} +(5.91718 - 1.52806i) q^{98} +(-0.502870 + 0.422285i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{10} - 6 q^{11} - 16 q^{12} - 2 q^{13} - 6 q^{14} - 2 q^{16} - 10 q^{18} - 8 q^{19} - 48 q^{20} + 2 q^{21} - 2 q^{22} - 12 q^{23} - 16 q^{27}+ \cdots + 46 q^{99}+O(q^{100}) $ 88 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 + 2 * q^6 - 4 * q^7 - 8 * q^10 - 6 * q^11 - 16 * q^12 - 2 * q^13 - 6 * q^14 - 2 * q^16 - 10 * q^18 - 8 * q^19 - 48 * q^20 + 2 * q^21 - 2 * q^22 - 12 * q^23 - 16 * q^27 + 8 * q^28 - 6 * q^29 - 34 * q^30 - 6 * q^32 - 8 * q^33 + 2 * q^34 - 26 * q^36 - 8 * q^37 - 6 * q^38 - 32 * q^39 - 2 * q^40 + 48 * q^42 - 2 * q^43 + 6 * q^45 - 40 * q^46 + 42 * q^48 - 24 * q^49 + 72 * q^50 - 12 * q^51 - 2 * q^52 - 38 * q^54 - 16 * q^55 + 36 * q^56 + 16 * q^58 - 42 * q^59 + 70 * q^60 - 2 * q^61 - 44 * q^64 - 12 * q^65 + 104 * q^66 - 2 * q^67 + 96 * q^68 - 10 * q^69 - 16 * q^70 - 10 * q^72 + 78 * q^74 - 56 * q^75 - 14 * q^76 - 6 * q^77 + 12 * q^78 - 8 * q^81 - 36 * q^82 + 54 * q^83 + 158 * q^84 + 8 * q^85 + 54 * q^86 + 48 * q^87 + 22 * q^88 + 64 * q^90 + 20 * q^91 + 108 * q^92 - 34 * q^93 + 6 * q^94 - 58 * q^96 - 4 * q^97 + 46 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.990880	−	1.00904i	−0.700658	−	0.713497i
$2$	−0.990880	−	1.00904i	−0.700658	−	0.713497i
$3$	−0.800065	−	1.53620i	−0.461918	−	0.886923i
$3$	−0.800065	−	1.53620i	−0.461918	−	0.886923i
$4$	−0.0363133	+	1.99967i	−0.0181566	+	0.999835i
$5$	3.73424	−	1.00059i	1.67000	−	0.447476i	0.704891	−	0.709315i	$-0.250996\pi$
$5$	3.73424	−	1.00059i	1.67000	−	0.447476i	0.965111	+	0.261839i	$0.0843291\pi$
$6$	−0.757311	+	2.32948i	−0.309171	+	0.951007i
$7$	−1.68236	−	2.91393i	−0.635872	−	1.10136i	−0.986330	−	0.164785i	$-0.947307\pi$
$7$	−1.68236	−	2.91393i	−0.635872	−	1.10136i	0.350457	−	0.936579i	$-0.386026\pi$
$8$	2.05372	−	1.94479i	0.726101	−	0.687588i
$9$	−1.71979	+	2.45811i	−0.573264	+	0.819371i
$10$	−4.70981	−	2.77653i	−1.48937	−	0.878015i
$11$	0.211428	+	0.0566521i	0.0637480	+	0.0170812i	0.290552	−	0.956859i	$-0.406161\pi$
$11$	0.211428	+	0.0566521i	0.0637480	+	0.0170812i	−0.226804	+	0.973940i	$0.572828\pi$
$12$	3.10094	−	1.54408i	0.895164	−	0.445738i
$13$	−2.71526	+	0.727551i	−0.753076	+	0.201786i	−0.614882	−	0.788619i	$-0.710796\pi$
$13$	−2.71526	+	0.727551i	−0.753076	+	0.201786i	−0.138194	+	0.990405i	$0.544130\pi$
$14$	−1.27325	+	4.58492i	−0.340291	+	1.22537i
$15$	−4.52473	−	4.93599i	−1.16828	−	1.27447i
$16$	−3.99736	−	0.145229i	−0.999341	−	0.0363073i
$17$		−	4.23937i		−	1.02820i	−0.857731	−	0.514100i	$-0.828126\pi$
$17$		−	4.23937i		−	1.02820i	0.857731	−	0.514100i	$-0.171874\pi$
$18$	4.18444	−	0.700358i	0.986281	−	0.165076i
$19$	−1.12365	+	1.12365i	−0.257782	+	0.257782i	−0.824152	−	0.566369i	$-0.808348\pi$
$19$	−1.12365	+	1.12365i	−0.257782	+	0.257782i	0.566369	+	0.824152i	$0.308348\pi$
$20$	1.86524	+	7.50358i	0.417081	+	1.67785i
$21$	−3.13037	+	4.91577i	−0.683104	+	1.07271i
$22$	−0.152336	−	0.269474i	−0.0324782	−	0.0574522i
$23$	3.33369	+	1.92471i	0.695123	+	0.401329i	0.805528	−	0.592557i	$-0.201882\pi$
$23$	3.33369	+	1.92471i	0.695123	+	0.401329i	−0.110405	+	0.993887i	$0.535215\pi$
$24$	−4.63069	−	1.59896i	−0.945236	−	0.326387i
$25$	8.61325	−	4.97286i	1.72265	−	0.994572i
$26$	3.42462	+	2.01888i	0.671623	+	0.395935i
$27$	5.15209	+	0.675290i	0.991519	+	0.129960i
$28$	5.88800	−	3.25835i	1.11273	−	0.615771i
$29$	2.03634	+	0.545635i	0.378138	+	0.101322i	0.442882	−	0.896580i	$-0.353956\pi$
$29$	2.03634	+	0.545635i	0.378138	+	0.101322i	−0.0647434	+	0.997902i	$0.520623\pi$
$30$	−0.497132	+	9.45659i	−0.0907635	+	1.72653i
$31$	7.21206	+	4.16388i	1.29532	+	0.747856i	0.979593	−	0.200993i	$-0.0644169\pi$
$31$	7.21206	+	4.16388i	1.29532	+	0.747856i	0.315731	+	0.948849i	$0.397750\pi$
$32$	3.81437	+	4.17739i	0.674291	+	0.738466i
$33$	−0.0821277	−	0.370121i	−0.0142966	−	0.0644297i
$34$	−4.27769	+	4.20071i	−0.733617	+	0.720416i
$35$	−9.19798	−	9.19798i	−1.55474	−	1.55474i
$36$	−4.85296	−	3.52828i	−0.808827	−	0.588047i
$37$	−2.66564	+	2.66564i	−0.438229	+	0.438229i	−0.891416	−	0.453187i	$-0.850287\pi$
$37$	−2.66564	+	2.66564i	−0.438229	+	0.438229i	0.453187	+	0.891416i	$0.350287\pi$
$38$	2.24720	+	0.0204025i	0.364544	+	0.00330972i
$39$	3.29004	+	3.58908i	0.526828	+	0.574712i
$40$	5.72317	−	9.31725i	0.904912	−	1.47319i
$41$	1.70386	−	2.95117i	0.266098	−	0.460895i	−0.701753	−	0.712420i	$-0.747599\pi$
$41$	1.70386	−	2.95117i	0.266098	−	0.460895i	0.967851	+	0.251526i	$0.0809323\pi$
$42$	8.06202	−	1.71227i	1.24400	−	0.264209i
$43$	−1.25664	+	4.68985i	−0.191636	+	0.715195i	0.801476	+	0.598027i	$0.204048\pi$
$43$	−1.25664	+	4.68985i	−0.191636	+	0.715195i	−0.993112	+	0.117168i	$0.962618\pi$
$44$	−0.120963	+	0.420730i	−0.0182359	+	0.0634274i
$45$	−3.96257	+	10.9000i	−0.590704	+	1.62487i
$46$	−1.36119	−	5.27098i	−0.200696	−	0.777163i
$47$	−2.34998	−	4.07028i	−0.342779	−	0.593711i	0.642168	−	0.766564i	$-0.278035\pi$
$47$	−2.34998	−	4.07028i	−0.342779	−	0.593711i	−0.984948	+	0.172852i	$0.944702\pi$
$48$	2.97505	+	6.25692i	0.429411	+	0.903109i
$49$	−2.16067	+	3.74239i	−0.308667	+	0.534628i
$50$	−13.5525	−	3.76358i	−1.91661	−	0.532251i
$51$	−6.51251	+	3.39177i	−0.911933	+	0.474943i
$52$	−1.35626	−	5.45604i	−0.188080	−	0.756616i
$53$	7.58271	+	7.58271i	1.04157	+	1.04157i	0.999098	+	0.0424680i	$0.0135220\pi$
$53$	7.58271	+	7.58271i	1.04157	+	1.04157i	0.0424680	+	0.999098i	$0.486478\pi$
$54$	−4.42371	−	5.86778i	−0.601990	−	0.798503i
$55$	0.846209			0.114103
$56$	−9.12210	−	2.71258i	−1.21899	−	0.362483i
$57$	2.62513	+	0.827151i	0.347707	+	0.109559i
$58$	−1.46720	−	2.59540i	−0.192653	−	0.340793i
$59$	−1.43167	−	5.34305i	−0.186387	−	0.695605i	−0.994329	−	0.106344i	$-0.966085\pi$
$59$	−1.43167	−	5.34305i	−0.186387	−	0.695605i	0.807942	−	0.589261i	$-0.200581\pi$
$60$	10.0347	−	8.86873i	1.29547	−	1.14495i
$61$	−2.33105	+	8.69958i	−0.298460	+	1.11387i	0.639971	+	0.768399i	$0.278946\pi$
$61$	−2.33105	+	8.69958i	−0.298460	+	1.11387i	−0.938431	+	0.345468i	$0.887720\pi$
$62$	−2.94477	−	11.4031i	−0.373986	−	1.44820i
$63$	10.0561	+	0.875933i	1.26695	+	0.110357i
$64$	0.435568	−	7.98813i	0.0544460	−	0.998517i
$65$	−9.41144	+	5.43370i	−1.16735	+	0.673967i
$66$	−0.292087	+	0.449615i	−0.0359534	+	0.0553438i
$67$	1.38665	+	5.17504i	0.169406	+	0.632231i	0.997437	+	0.0715493i	$0.0227943\pi$
$67$	1.38665	+	5.17504i	0.169406	+	0.632231i	−0.828031	+	0.560682i	$0.810539\pi$
$68$	8.47735	+	0.153945i	1.02803	+	0.0186686i
$69$	0.289558	−	6.66110i	0.0348587	−	0.801902i
$70$	−0.167011	+	18.3952i	−0.0199617	+	2.19865i
$71$			7.53614i			0.894375i	0.894440	+	0.447187i	$0.147574\pi$
$71$			7.53614i			0.894375i	−0.894440	+	0.447187i	$0.852426\pi$
$72$	1.24854	+	8.39292i	0.147141	+	0.989115i
$73$		−	3.22646i		−	0.377629i	−0.982013	−	0.188814i	$-0.939536\pi$
$73$		−	3.22646i		−	0.377629i	0.982013	−	0.188814i	$-0.0604644\pi$
$74$	5.33107	+	0.0484011i	0.619724	+	0.00562651i
$75$	−14.5304	−	9.25302i	−1.67783	−	1.06845i
$76$	−2.20612	−	2.28773i	−0.253059	−	0.262420i
$77$	−0.190618	−	0.711397i	−0.0217230	−	0.0810712i
$78$	0.361477	−	6.87612i	0.0409292	−	0.778567i
$79$	4.98587	−	2.87859i	0.560954	−	0.323867i	−0.192574	−	0.981282i	$-0.561684\pi$
$79$	4.98587	−	2.87859i	0.560954	−	0.323867i	0.753528	+	0.657415i	$0.228350\pi$
$80$	−15.0724	+	3.45739i	−1.68515	+	0.386548i
$81$	−3.08462	−	8.45489i	−0.342736	−	0.939432i
$82$	−4.66616	+	1.20500i	−0.515291	+	0.133070i
$83$	1.20739	−	4.50604i	0.132528	−	0.494602i	−0.867468	−	0.497494i	$-0.834254\pi$
$83$	1.20739	−	4.50604i	0.132528	−	0.494602i	0.999996	+	0.00289160i	$0.000920425\pi$
$84$	−9.71624	−	6.43822i	−1.06013	−	0.702468i
$85$	−4.24186	−	15.8308i	−0.460094	−	1.71710i
$86$	5.97741	−	3.37908i	0.644561	−	0.364376i
$87$	−0.790999	−	3.56475i	−0.0848040	−	0.382182i
$88$	0.544392	−	0.294836i	0.0580324	−	0.0314297i
$89$	2.96157			0.313926			0.156963	−	0.987605i	$-0.449830\pi$
$89$	2.96157			0.313926			0.156963	+	0.987605i	$0.449830\pi$
$90$	14.9249	−	6.80220i	1.57322	−	0.717014i
$91$	6.68807	+	6.68807i	0.701100	+	0.701100i
$92$	−3.96984	+	6.59639i	−0.413884	+	0.687722i
$93$	0.626426	−	14.4105i	0.0649573	−	1.49430i
$94$	−1.77852	+	6.40437i	−0.183440	+	0.660561i
$95$	−3.07166	+	5.32027i	−0.315146	+	0.545849i
$96$	3.36555	−	9.20180i	0.343495	−	0.939154i
$97$	−7.63883	−	13.2308i	−0.775606	−	1.34339i	−0.934453	−	0.356085i	$-0.884111\pi$
$97$	−7.63883	−	13.2308i	−0.775606	−	1.34339i	0.158848	−	0.987303i	$-0.449222\pi$
$98$	5.91718	−	1.52806i	0.597726	−	0.154358i
$99$	−0.502870	+	0.422285i	−0.0505403	+	0.0424412i
$100$	9.63131	+	17.4042i	0.963131	+	1.74042i
$101$	0.0347486	−	0.129684i	0.00345762	−	0.0129040i	−0.964175	−	0.265265i	$-0.914540\pi$
$101$	0.0347486	−	0.129684i	0.00345762	−	0.0129040i	0.967633	+	0.252361i	$0.0812071\pi$
$102$	9.87554	+	3.21052i	0.977824	+	0.317889i
$103$	−4.09117	+	7.08611i	−0.403115	+	0.698215i	−0.994100	−	0.108467i	$-0.965406\pi$
$103$	−4.09117	+	7.08611i	−0.403115	+	0.698215i	0.590985	+	0.806682i	$0.298739\pi$
$104$	−4.16145	+	6.77480i	−0.408064	+	0.664323i
$105$	−6.77091	+	21.4889i	−0.660774	+	2.09710i
$106$	0.137682	−	15.1648i	0.0133729	−	1.47294i
$107$	−8.28837	+	8.28837i	−0.801267	+	0.801267i	−0.983294	−	0.182027i	$-0.941734\pi$
$107$	−8.28837	+	8.28837i	−0.801267	+	0.801267i	0.182027	+	0.983294i	$0.441734\pi$
$108$	−1.53745	+	10.2780i	−0.147941	+	0.988996i
$109$	6.31291	+	6.31291i	0.604667	+	0.604667i	0.941547	−	0.336881i	$-0.109372\pi$
$109$	6.31291	+	6.31291i	0.604667	+	0.604667i	−0.336881	+	0.941547i	$0.609372\pi$
$110$	−0.838492	−	0.853857i	−0.0799471	−	0.0814121i
$111$	6.22764	+	1.96226i	0.591101	+	0.186250i
$112$	6.30182	+	11.8924i	0.595466	+	1.12372i
$113$	14.6562	+	8.46178i	1.37874	+	0.796017i	0.992008	−	0.126174i	$-0.0402696\pi$
$113$	14.6562	+	8.46178i	1.37874	+	0.796017i	0.386735	+	0.922191i	$0.373603\pi$
$114$	−1.76656	−	3.46846i	−0.165454	−	0.324851i
$115$	14.3746	+	3.85167i	1.34044	+	0.359171i
$116$	−1.16504	+	4.05219i	−0.108171	+	0.376236i
$117$	2.88128	−	7.92564i	0.266374	−	0.732725i
$118$	−3.97273	+	6.73892i	−0.365719	+	0.620368i
$119$	−12.3533	+	7.13215i	−1.13242	+	0.653803i
$120$	−18.8920	−	1.33750i	−1.72460	−	0.122097i
$121$	−9.48479	−	5.47604i	−0.862253	−	0.497822i
$122$	11.0880	−	6.26813i	1.00386	−	0.567490i
$123$	−5.89676	−	0.256333i	−0.531693	−	0.0231128i
$124$	−8.58829	+	14.2705i	−0.771251	+	1.28153i
$125$	13.5199	−	13.5199i	1.20926	−	1.20926i
$126$	−9.08052	−	11.0149i	−0.808957	−	0.981286i
$127$			13.4028i			1.18931i	0.803981	+	0.594654i	$0.202711\pi$
$127$			13.4028i			1.18931i	−0.803981	+	0.594654i	$0.797289\pi$
$128$	−8.49192	+	7.47578i	−0.750587	+	0.660772i
$129$	8.20992	−	1.82174i	0.722843	−	0.160395i
$130$	14.8084	+	4.11235i	1.29878	+	0.360677i
$131$	0.632708	−	0.169534i	0.0552800	−	0.0148122i	−0.231073	−	0.972936i	$-0.574224\pi$
$131$	0.632708	−	0.169534i	0.0552800	−	0.0148122i	0.286353	+	0.958124i	$0.407557\pi$
$132$	0.743101	−	0.150788i	0.0646787	−	0.0131244i
$133$	5.16461	+	1.38385i	0.447829	+	0.119995i
$134$	3.84781	−	6.52702i	0.332400	−	0.563849i
$135$	19.9148	−	2.63341i	1.71399	−	0.226648i
$136$	−8.24470	−	8.70650i	−0.706977	−	0.746577i
$137$	−10.5230	−	18.2263i	−0.899037	−	1.55718i	−0.828727	−	0.559652i	$-0.810935\pi$
$137$	−10.5230	−	18.2263i	−0.899037	−	1.55718i	−0.0703095	−	0.997525i	$-0.522399\pi$
$138$	−7.00821	+	6.30817i	−0.596579	+	0.536987i
$139$	6.44400	−	1.72666i	0.546573	−	0.146454i	0.0250423	−	0.999686i	$-0.492028\pi$
$139$	6.44400	−	1.72666i	0.546573	−	0.146454i	0.521530	+	0.853233i	$0.325361\pi$
$140$	18.7269	−	18.0589i	1.58271	−	1.52626i
$141$	−4.37261	+	6.86651i	−0.368240	+	0.578264i
$142$	7.60424	−	7.46741i	0.638134	−	0.626651i
$143$	−0.615299			−0.0514539
$144$	7.23163	−	9.57620i	0.602635	−	0.798017i
$145$	8.15012			0.676831
$146$	−3.25562	+	3.19703i	−0.269437	+	0.264588i
$147$	7.47772	+	0.325057i	0.616752	+	0.0268103i
$148$	−5.23361	−	5.42721i	−0.430200	−	0.446114i
$149$	−21.5773	+	5.78161i	−1.76768	+	0.473648i	−0.988250	−	0.152844i	$-0.951157\pi$
$149$	−21.5773	+	5.78161i	−1.76768	+	0.473648i	−0.779428	+	0.626492i	$0.784490\pi$
$150$	5.06128	+	23.8304i	0.413252	+	1.94574i
$151$	−9.97506	−	17.2773i	−0.811759	−	1.40601i	−0.911632	−	0.411007i	$-0.865177\pi$
$151$	−9.97506	−	17.2773i	−0.811759	−	1.40601i	0.0998734	−	0.995000i	$-0.468156\pi$
$152$	−0.122401	+	4.49292i	−0.00992807	+	0.364424i
$153$	10.4209	+	7.29084i	0.842476	+	0.589430i
$154$	−0.528947	+	0.897250i	−0.0426237	+	0.0723025i
$155$	31.0979	+	8.33265i	2.49784	+	0.669295i
$156$	−7.29644	+	6.44866i	−0.584183	+	0.516306i
$157$	−14.3943	+	3.85693i	−1.14879	+	0.307817i	−0.782479	−	0.622677i	$-0.786045\pi$
$157$	−14.3943	+	3.85693i	−1.14879	+	0.307817i	−0.366308	+	0.930494i	$0.619378\pi$
$158$	−7.84501	−	2.17859i	−0.624115	−	0.173319i
$159$	5.58187	−	17.7152i	0.442671	−	1.40491i
$160$	18.4236	+	11.7828i	1.45651	+	0.931511i
$161$		−	12.9522i		−	1.02078i
$162$	−5.47480	+	11.4903i	−0.430141	+	0.902762i
$163$	−4.35766	+	4.35766i	−0.341318	+	0.341318i	−0.856863	−	0.515545i	$-0.827590\pi$
$163$	−4.35766	+	4.35766i	−0.341318	+	0.341318i	0.515545	+	0.856863i	$0.327590\pi$
$164$	5.83949	+	3.51432i	0.455987	+	0.274422i
$165$	−0.677022	−	1.29994i	−0.0527061	−	0.101200i
$166$	−5.74314	+	3.24664i	−0.445754	+	0.251988i
$167$	−11.8952	−	6.86770i	−0.920479	−	0.531439i	−0.0366910	−	0.999327i	$-0.511682\pi$
$167$	−11.8952	−	6.86770i	−0.920479	−	0.531439i	−0.883788	+	0.467888i	$0.845015\pi$
$168$	3.13122	+	16.1836i	0.241579	+	1.24859i
$169$	−4.41505	+	2.54903i	−0.339619	+	0.196079i
$170$	−11.7707	+	19.9667i	−0.902774	+	1.53137i
$171$	−0.829610	−	4.69449i	−0.0634418	−	0.358997i
$172$	−9.33252	−	2.68317i	−0.711598	−	0.204590i
$173$	5.24342	+	1.40497i	0.398650	+	0.106818i	0.452573	−	0.891727i	$-0.350506\pi$
$173$	5.24342	+	1.40497i	0.398650	+	0.106818i	−0.0539235	+	0.998545i	$0.517173\pi$
$174$	−2.81319	+	4.33039i	−0.213267	+	0.328286i
$175$	−28.9812	−	16.7323i	−2.19077	−	1.26484i
$176$	−0.836928	−	0.257164i	−0.0630858	−	0.0193845i
$177$	−7.06254	+	6.47410i	−0.530853	+	0.486623i
$178$	−2.93456	−	2.98833i	−0.219954	−	0.223985i
$179$	−0.380130	−	0.380130i	−0.0284123	−	0.0284123i	0.692758	−	0.721170i	$-0.256395\pi$
$179$	−0.380130	−	0.380130i	−0.0284123	−	0.0284123i	−0.721170	+	0.692758i	$0.756395\pi$
$180$	−21.6525	−	8.31964i	−1.61388	−	0.620109i
$181$	−4.98992	+	4.98992i	−0.370898	+	0.370898i	−0.867804	−	0.496906i	$-0.834469\pi$
$181$	−4.98992	+	4.98992i	−0.370898	+	0.370898i	0.496906	+	0.867804i	$0.334469\pi$
$182$	0.121438	−	13.3756i	0.00900157	−	0.991465i
$183$	15.2292	−	3.37929i	1.12578	−	0.249804i
$184$	10.5896	−	2.53052i	0.780679	−	0.186552i
$185$	−7.28695	+	12.6214i	−0.535747	+	0.927941i
$186$	−15.1615	+	13.6470i	−1.11169	+	1.00065i
$187$	0.240169	−	0.896324i	0.0175629	−	0.0655457i
$188$	8.22455	−	4.55137i	0.599837	−	0.331943i
$189$	−6.69991	−	16.1489i	−0.487347	−	1.17466i
$190$	8.41200	−	2.17233i	0.610271	−	0.157598i
$191$	5.40555	+	9.36269i	0.391132	+	0.677461i	0.992599	−	0.121437i	$-0.0387502\pi$
$191$	5.40555	+	9.36269i	0.391132	+	0.677461i	−0.601467	+	0.798898i	$0.705417\pi$
$192$	−12.6198	+	5.72191i	−0.910757	+	0.412943i
$193$	2.60044	−	4.50410i	0.187184	−	0.324212i	−0.757126	−	0.653268i	$-0.773397\pi$
$193$	2.60044	−	4.50410i	0.187184	−	0.324212i	0.944310	+	0.329056i	$0.106731\pi$
$194$	−5.78125	+	20.8180i	−0.415070	+	1.49465i
$195$	15.8770	+	10.1105i	1.13697	+	0.724028i
$196$	−7.40509	−	4.45653i	−0.528935	−	0.318323i
$197$	2.94550	+	2.94550i	0.209858	+	0.209858i	0.804207	−	0.594349i	$-0.202590\pi$
$197$	2.94550	+	2.94550i	0.209858	+	0.209858i	−0.594349	+	0.804207i	$0.702590\pi$
$198$	0.924385	+	0.0889812i	0.0656932	+	0.00632362i
$199$	2.57285			0.182384			0.0911921	−	0.995833i	$-0.470932\pi$
$199$	2.57285			0.182384			0.0911921	+	0.995833i	$0.470932\pi$
$200$	8.01806	−	26.9639i	0.566962	−	1.90663i
$201$	6.84046	−	6.27053i	0.482489	−	0.442289i
$202$	−0.165287	+	0.0934382i	−0.0116296	+	0.00657429i
$203$	−1.83591	−	6.85170i	−0.128856	−	0.480895i
$204$	−6.54594	−	13.1460i	−0.458307	−	0.920406i
$205$	3.40971	−	12.7252i	0.238145	−	0.888768i
$206$	11.2040	−	2.89334i	0.780620	−	0.201589i
$207$	−10.4644	+	4.88449i	−0.727327	+	0.339495i
$208$	10.9595	−	2.51395i	0.759906	−	0.174311i
$209$	−0.301228	+	0.173914i	−0.0208364	+	0.0120299i
$210$	28.3922	−	14.4608i	1.95925	−	0.997889i
$211$	−4.70786	−	17.5700i	−0.324103	−	1.20957i	−0.915211	−	0.402975i	$-0.867976\pi$
$211$	−4.70786	−	17.5700i	−0.324103	−	1.20957i	0.591108	−	0.806592i	$-0.298691\pi$
$212$	−15.4383	+	14.8876i	−1.06031	+	1.02248i
$213$	11.5770	−	6.02940i	0.793242	−	0.413127i
$214$	16.5761	+	0.150495i	1.13312	+	0.0102876i
$215$			18.7704i			1.28013i
$216$	11.8943	−	8.63288i	0.809302	−	0.587393i
$217$		−	28.0206i		−	1.90216i
$218$	0.114626	−	12.6253i	0.00776344	−	0.855093i
$219$	−4.95647	+	2.58138i	−0.334927	+	0.174433i
$220$	−0.0307286	+	1.69214i	−0.00207172	+	0.114084i
$221$	3.08436	+	11.5110i	0.207476	+	0.774312i
$222$	−4.19085	−	8.22829i	−0.281271	−	0.552246i
$223$	−2.82059	+	1.62847i	−0.188881	+	0.109050i	−0.591458	−	0.806336i	$-0.701448\pi$
$223$	−2.82059	+	1.62847i	−0.188881	+	0.109050i	0.402578	+	0.915386i	$0.368114\pi$
$224$	5.75551	−	18.1427i	0.384556	−	1.21221i
$225$	−2.58916	+	29.7246i	−0.172610	+	1.98164i
$226$	−5.98432	−	23.1733i	−0.398071	−	1.54147i
$227$	−2.36663	+	8.83238i	−0.157079	+	0.586226i	0.841840	+	0.539728i	$0.181473\pi$
$227$	−2.36663	+	8.83238i	−0.157079	+	0.586226i	−0.998918	+	0.0464979i	$0.985194\pi$
$228$	−1.74936	+	5.21936i	−0.115854	+	0.345661i
$229$	1.36053	+	5.07755i	0.0899061	+	0.335534i	0.996198	−	0.0871183i	$-0.0277658\pi$
$229$	1.36053	+	5.07755i	0.0899061	+	0.335534i	−0.906292	+	0.422652i	$0.861099\pi$
$230$	−10.3571	−	18.3211i	−0.682925	−	1.20806i
$231$	−0.940338	+	0.861991i	−0.0618697	+	0.0567148i
$232$	5.24322	−	2.83967i	0.344234	−	0.186433i
$233$	−14.1506			−0.927034			−0.463517	−	0.886088i	$-0.653413\pi$
$233$	−14.1506			−0.927034			−0.463517	+	0.886088i	$0.653413\pi$
$234$	−10.8523	+	4.94604i	−0.709435	+	0.323333i
$235$	−12.8480	−	12.8480i	−0.838114	−	0.838114i
$236$	10.7363	−	2.66883i	0.698875	−	0.173726i
$237$	−8.41110	−	5.35621i	−0.546360	−	0.347923i
$238$	19.4372	+	5.39779i	1.25993	+	0.349886i
$239$	7.51536	−	13.0170i	0.486128	−	0.841999i	−0.513745	−	0.857943i	$-0.671742\pi$
$239$	7.51536	−	13.0170i	0.486128	−	0.841999i	0.999873	+	0.0159444i	$0.00507546\pi$
$240$	17.3701	+	20.3881i	1.12124	+	1.31604i
$241$	7.18920	+	12.4521i	0.463097	+	0.802108i	0.999113	−	0.0420996i	$-0.0134047\pi$
$241$	7.18920	+	12.4521i	0.463097	+	0.802108i	−0.536016	+	0.844208i	$0.680071\pi$
$242$	3.87275	+	14.9966i	0.248950	+	0.964019i
$243$	−10.5205	+	11.5030i	−0.674888	+	0.737921i
$244$	−17.3116	−	4.97723i	−1.10826	−	0.318635i
$245$	−4.32388	+	16.1369i	−0.276242	+	1.03095i
$246$	5.58434	+	6.20405i	0.356044	+	0.395556i
$247$	2.23348	−	3.86850i	0.142113	−	0.246147i
$248$	22.9095	−	5.47448i	1.45475	−	0.347630i
$249$	−7.88815	+	1.75034i	−0.499891	+	0.110923i
$250$	−27.0387	−	0.245486i	−1.71007	−	0.0155259i
$251$	3.59758	−	3.59758i	0.227077	−	0.227077i	−0.584393	−	0.811471i	$-0.698667\pi$
$251$	3.59758	−	3.59758i	0.227077	−	0.227077i	0.811471	+	0.584393i	$0.198667\pi$
$252$	−2.11675	+	20.0770i	−0.133342	+	1.26473i
$253$	0.595798	+	0.595798i	0.0374575	+	0.0374575i
$254$	13.5240	−	13.2806i	0.848569	−	0.833299i
$255$	−20.9255	+	19.1820i	−1.31041	+	1.20122i
$256$	15.9578	+	1.16107i	0.997364	+	0.0725667i
$257$	−4.92640	−	2.84426i	−0.307300	−	0.177420i	0.338418	−	0.940996i	$-0.390108\pi$
$257$	−4.92640	−	2.84426i	−0.307300	−	0.177420i	−0.645718	+	0.763576i	$0.723442\pi$
$258$	−9.97325	−	6.47899i	−0.620907	−	0.403365i
$259$	12.2521	+	3.28294i	0.761307	+	0.203992i
$260$	−10.5238	−	19.0171i	−0.652661	−	1.17939i
$261$	−4.84331	+	4.06716i	−0.299793	+	0.251751i
$262$	−0.798004	−	0.470439i	−0.0493008	−	0.0290638i
$263$	18.8392	−	10.8768i	1.16167	−	0.670693i	0.209970	−	0.977708i	$-0.432663\pi$
$263$	18.8392	−	10.8768i	1.16167	−	0.670693i	0.951705	+	0.307015i	$0.0993300\pi$
$264$	−0.888475	−	0.600404i	−0.0546819	−	0.0369523i
$265$	35.9028	+	20.7285i	2.20549	+	1.27334i
$266$	−3.72115	−	6.58252i	−0.228158	−	0.403600i
$267$	−2.36945	−	4.54955i	−0.145008	−	0.278428i
$268$	−10.3987	+	2.58491i	−0.635203	+	0.157899i
$269$	7.43467	−	7.43467i	0.453300	−	0.453300i	−0.443148	−	0.896448i	$-0.646139\pi$
$269$	7.43467	−	7.43467i	0.453300	−	0.453300i	0.896448	+	0.443148i	$0.146139\pi$
$270$	−22.3904	−	17.4854i	−1.36264	−	1.06413i
$271$			11.8875i			0.722111i	0.932544	+	0.361056i	$0.117584\pi$
$271$			11.8875i			0.722111i	−0.932544	+	0.361056i	$0.882416\pi$
$272$	−0.615680	+	16.9463i	−0.0373311	+	1.02752i
$273$	4.92329	−	15.6251i	0.297971	−	0.945673i
$274$	−7.96403	+	28.6781i	−0.481125	+	1.73251i
$275$	2.10281	−	0.563445i	0.126804	−	0.0339770i
$276$	13.3095	+	0.820907i	0.801137	+	0.0494128i
$277$	−10.0081	−	2.68166i	−0.601329	−	0.161126i	−0.0547032	−	0.998503i	$-0.517421\pi$
$277$	−10.0081	−	2.68166i	−0.601329	−	0.161126i	−0.546626	+	0.837377i	$0.684088\pi$
$278$	−8.12750	−	4.79132i	−0.487455	−	0.287364i
$279$	−22.6385	+	10.5670i	−1.35533	+	0.632631i
$280$	−36.7783	−	1.00196i	−2.19792	−	0.0598784i
$281$	7.05630	+	12.2219i	0.420944	+	0.729096i	0.996032	−	0.0889955i	$-0.0283657\pi$
$281$	7.05630	+	12.2219i	0.420944	+	0.729096i	−0.575088	+	0.818091i	$0.695032\pi$
$282$	11.2613	−	2.39176i	0.670600	−	0.142427i
$283$	−12.7951	+	3.42843i	−0.760588	+	0.203799i	−0.618209	−	0.786013i	$-0.712142\pi$
$283$	−12.7951	+	3.42843i	−0.760588	+	0.203799i	−0.142378	+	0.989812i	$0.545475\pi$
$284$	−15.0698	−	0.273662i	−0.894227	−	0.0162388i
$285$	10.6305	+	0.462109i	0.629697	+	0.0273730i
$286$	0.609688	+	0.620860i	0.0360516	+	0.0367122i
$287$	−11.4660			−0.676817
$288$	−16.8284	+	2.19188i	−0.991624	+	0.129158i
$289$	−0.972286			−0.0571933
$290$	−8.07580	−	8.22378i	−0.474227	−	0.482917i
$291$	−14.2136	+	22.3203i	−0.833216	+	1.30844i
$292$	6.45186	+	0.117163i	0.377566	+	0.00685646i
$293$	29.7073	−	7.96005i	1.73552	−	0.465031i	0.754077	−	0.656787i	$-0.228085\pi$
$293$	29.7073	−	7.96005i	1.73552	−	0.465031i	0.981443	+	0.191756i	$0.0614181\pi$
$294$	−7.08153	−	7.86740i	−0.413003	−	0.458836i
$295$	−10.6924	−	18.5197i	−0.622533	−	1.07826i
$296$	−0.290375	+	10.6586i	−0.0168777	+	0.619520i
$297$	1.05104	+	0.434652i	0.0609875	+	0.0252210i
$298$	27.2143	+	16.0434i	1.57648	+	0.929368i
$299$	−10.4522	−	2.80065i	−0.604463	−	0.161965i
$300$	19.0306	−	28.7201i	1.09873	−	1.65815i
$301$	15.7800	−	4.22825i	0.909546	−	0.243712i
$302$	−7.54936	+	27.1849i	−0.434417	+	1.56432i
$303$	−0.227020	+	0.0503746i	−0.0130420	+	0.00289395i
$304$	4.65481	−	4.32844i	0.266972	−	0.248253i
$305$			34.8187i			1.99371i
$306$	−2.96908	−	17.7394i	−0.169731	−	1.01409i
$307$	23.8109	−	23.8109i	1.35896	−	1.35896i	0.483758	−	0.875202i	$-0.339272\pi$
$307$	23.8109	−	23.8109i	1.35896	−	1.35896i	0.875202	−	0.483758i	$-0.160728\pi$
$308$	1.42948	−	0.355341i	0.0814523	−	0.0202474i
$309$	14.1588	+	0.615486i	0.805469	+	0.0350138i
$310$	−22.4063	−	39.6356i	−1.27259	−	2.25115i
$311$	−9.20941	−	5.31706i	−0.522218	−	0.301503i	0.215624	−	0.976477i	$-0.430822\pi$
$311$	−9.20941	−	5.31706i	−0.522218	−	0.301503i	−0.737842	+	0.674974i	$0.764155\pi$
$312$	13.7368	+	0.972529i	0.777695	+	0.0550586i
$313$	−16.4634	+	9.50514i	−0.930565	+	0.537262i	−0.886990	−	0.461788i	$-0.847208\pi$
$313$	−16.4634	+	9.50514i	−0.930565	+	0.537262i	−0.0435750	+	0.999050i	$0.513875\pi$
$314$	18.1548	+	10.7026i	1.02453	+	0.603982i
$315$	38.4283	−	6.79104i	2.16519	−	0.382632i
$316$	5.57519	+	10.0746i	0.313629	+	0.566742i
$317$	−11.8751	−	3.18193i	−0.666972	−	0.178715i	−0.0905818	−	0.995889i	$-0.528873\pi$
$317$	−11.8751	−	3.18193i	−0.666972	−	0.178715i	−0.576391	+	0.817174i	$0.695539\pi$
$318$	−23.4063	+	11.9213i	−1.31256	+	0.668514i
$319$	0.399628	+	0.230725i	0.0223749	+	0.0129181i
$320$	−6.36631	−	30.2654i	−0.355887	−	1.69189i
$321$	19.3638	+	6.10132i	1.08078	+	0.340543i
$322$	−13.0693	+	12.8341i	−0.728322	+	0.715216i
$323$	4.76356	+	4.76356i	0.265052	+	0.265052i
$324$	17.0190	−	5.86121i	0.945500	−	0.325623i
$325$	−19.7692	+	19.7692i	−1.09660	+	1.09660i
$326$	8.71496	+	0.0791237i	0.482677	+	0.00438226i
$327$	4.64712	−	14.7486i	0.256987	−	0.815599i
$328$	−2.24015	−	9.37453i	−0.123692	−	0.517622i
$329$	−7.90701	+	13.6953i	−0.435928	+	0.755049i
$330$	−0.640843	+	1.97123i	−0.0352773	+	0.108513i
$331$	−8.94844	+	33.3960i	−0.491851	+	1.83561i	0.0551468	+	0.998478i	$0.482437\pi$
$331$	−8.94844	+	33.3960i	−0.491851	+	1.83561i	−0.546998	+	0.837134i	$0.684229\pi$
$332$	8.96675	+	2.57801i	0.492114	+	0.141487i
$333$	−1.96809	−	11.1368i	−0.107851	−	0.610293i
$334$	4.85696	+	18.8078i	0.265761	+	1.02912i
$335$	10.3561	+	17.9374i	0.565817	+	0.980023i
$336$	13.2272	−	19.1955i	0.721600	−	1.04720i
$337$	−14.3693	+	24.8884i	−0.782746	+	1.35576i	0.147591	+	0.989049i	$0.452848\pi$
$337$	−14.3693	+	24.8884i	−0.782746	+	1.35576i	−0.930336	+	0.366707i	$0.880485\pi$
$338$	6.94685	+	1.92917i	0.377859	+	0.104933i
$339$	1.27301	−	29.2848i	0.0691406	−	1.59053i
$340$	31.8105	−	7.90745i	1.72517	−	0.428842i
$341$	1.28894	+	1.28894i	0.0698001	+	0.0698001i
$342$	−3.91487	+	5.48878i	−0.211692	+	0.296799i
$343$	−9.01293			−0.486653
$344$	6.53999	+	12.0756i	0.352612	+	0.651071i
$345$	−5.58372	−	25.1639i	−0.300617	−	1.35478i
$346$	−3.77793	−	6.68297i	−0.203103	−	0.359278i
$347$	−2.92992	−	10.9346i	−0.157287	−	0.587002i	−0.998899	−	0.0469191i	$-0.985060\pi$
$347$	−2.92992	−	10.9346i	−0.157287	−	0.587002i	0.841612	−	0.540082i	$-0.181607\pi$
$348$	7.15706	−	1.45229i	0.383659	−	0.0778509i
$349$	−2.90715	+	10.8496i	−0.155616	+	0.580767i	0.843436	+	0.537230i	$0.180529\pi$
$349$	−2.90715	+	10.8496i	−0.155616	+	0.580767i	−0.999052	+	0.0435372i	$0.986137\pi$
$350$	11.8334	+	45.8228i	0.632520	+	2.44933i
$351$	−14.4805	+	1.91482i	−0.772914	+	0.102205i
$352$	0.569807	+	1.09931i	0.0303708	+	0.0585935i
$353$	1.85946	−	1.07356i	0.0989689	−	0.0571397i	−0.449699	−	0.893180i	$-0.648469\pi$
$353$	1.85946	−	1.07356i	0.0989689	−	0.0571397i	0.548668	+	0.836041i	$0.315135\pi$
$354$	13.5307	+	0.711310i	0.719151	+	0.0378057i
$355$	7.54056	+	28.1417i	0.400211	+	1.49361i
$356$	−0.107544	+	5.92216i	−0.00569983	+	0.313874i
$357$	20.8398	+	13.2708i	1.10296	+	0.702366i
$358$	−0.00690217	+	0.760229i	−0.000364791	+	0.0401793i
$359$		−	11.0166i		−	0.581435i	−0.956809	−	0.290718i	$-0.906106\pi$
$359$		−	11.0166i		−	0.581435i	0.956809	−	0.290718i	$-0.0938941\pi$
$360$	13.0602	+	30.0919i	0.688332	+	1.58598i
$361$			16.4748i			0.867097i
$362$	9.97944	+	0.0906039i	0.524508	+	0.00476204i
$363$	−0.823831	+	18.9517i	−0.0432399	+	0.994705i
$364$	−13.6168	+	13.1311i	−0.713714	+	0.688255i
$365$	−3.22835	−	12.0484i	−0.168980	−	0.630641i
$366$	−18.5002	−	12.0184i	−0.967020	−	0.628212i
$367$	20.1365	−	11.6258i	1.05112	−	0.606863i	0.128156	−	0.991754i	$-0.459094\pi$
$367$	20.1365	−	11.6258i	1.05112	−	0.606863i	0.922962	+	0.384891i	$0.125761\pi$
$368$	−13.0465	−	8.17791i	−0.680094	−	0.426303i
$369$	4.32402	+	9.26366i	0.225099	+	0.482247i
$370$	19.9559	−	5.15345i	1.03746	−	0.267915i
$371$	9.33867	−	34.8524i	0.484839	−	1.80945i
$372$	28.7935	+	1.77594i	1.49287	+	0.0920781i
$373$	−2.66079	−	9.93021i	−0.137771	−	0.514167i	−0.999971	−	0.00759967i	$-0.997581\pi$
$373$	−2.66079	−	9.93021i	−0.137771	−	0.514167i	0.862201	−	0.506567i	$-0.169086\pi$
$374$	−1.14240	+	0.645810i	−0.0590723	+	0.0333940i
$375$	−31.5860	−	9.95240i	−1.63109	−	0.513940i
$376$	−12.7420	−	3.78901i	−0.657121	−	0.195404i
$377$	−5.92615			−0.305212
$378$	−9.65605	+	22.7621i	−0.496653	+	1.17076i
$379$	−6.14819	−	6.14819i	−0.315811	−	0.315811i	0.531345	−	0.847156i	$-0.321687\pi$
$379$	−6.14819	−	6.14819i	−0.315811	−	0.315811i	−0.847156	+	0.531345i	$0.821687\pi$
$380$	−10.5273	−	6.33551i	−0.540037	−	0.325005i
$381$	20.5894	−	10.7231i	1.05483	−	0.549363i
$382$	4.09105	−	14.7317i	0.209316	−	0.753740i
$383$	1.40170	−	2.42782i	0.0716238	−	0.124056i	−0.827989	−	0.560744i	$-0.810515\pi$
$383$	1.40170	−	2.42782i	0.0716238	−	0.124056i	0.899613	+	0.436688i	$0.143849\pi$
$384$	18.2783	+	7.06414i	0.932763	+	0.360491i
$385$	−1.42363	−	2.46580i	−0.0725548	−	0.125669i
$386$	−7.12153	+	1.83908i	−0.362476	+	0.0936066i
$387$	−9.36701	−	11.1545i	−0.476152	−	0.567017i
$388$	26.7347	−	14.7947i	1.35725	−	0.751086i
$389$	7.82350	−	29.1977i	0.396667	−	1.48038i	−0.422255	−	0.906477i	$-0.638761\pi$
$389$	7.82350	−	29.1977i	0.396667	−	1.48038i	0.818922	−	0.573905i	$-0.194572\pi$
$390$	−5.53031	−	26.0388i	−0.280038	−	1.31852i
$391$	8.15956	−	14.1328i	0.412647	−	0.714725i
$392$	2.84075	+	11.8879i	0.143480	+	0.600430i
$393$	−0.766644	−	0.836325i	−0.0386721	−	0.0421870i
$394$	0.0534825	−	5.89075i	0.00269441	−	0.296772i
$395$	15.7382	−	15.7382i	0.791873	−	0.791873i
$396$	−0.826169	−	1.02091i	−0.0415166	−	0.0513026i
$397$	1.95789	+	1.95789i	0.0982636	+	0.0982636i	0.754530	−	0.656266i	$-0.227865\pi$
$397$	1.95789	+	1.95789i	0.0982636	+	0.0982636i	−0.656266	+	0.754530i	$0.727865\pi$
$398$	−2.54938	−	2.59610i	−0.127789	−	0.130131i
$399$	−2.00615	−	9.04103i	−0.100433	−	0.452617i
$400$	−35.1525	+	18.6274i	−1.75762	+	0.931372i
$401$	−28.7356	−	16.5905i	−1.43499	−	0.828489i	−0.437490	−	0.899223i	$-0.644133\pi$
$401$	−28.7356	−	16.5905i	−1.43499	−	0.828489i	−0.997495	+	0.0707337i	$0.977466\pi$
$402$	−13.1053	−	0.688943i	−0.653632	−	0.0343613i
$403$	−22.6120	−	6.05887i	−1.12638	−	0.301814i
$404$	0.258063	+	0.0741950i	0.0128391	+	0.00369134i
$405$	−19.9786	−	28.4861i	−0.992743	−	1.41549i
$406$	−5.09446	+	8.64172i	−0.252834	+	0.428881i
$407$	−0.714607	+	0.412578i	−0.0354217	+	0.0204508i
$408$	−6.77860	+	19.6312i	−0.335591	+	0.971891i
$409$	22.8959	+	13.2190i	1.13213	+	0.653636i	0.944470	−	0.328598i	$-0.106576\pi$
$409$	22.8959	+	13.2190i	1.13213	+	0.653636i	0.187660	+	0.982234i	$0.439910\pi$
$410$	−16.2188	+	9.16864i	−0.800991	+	0.452807i
$411$	−19.5801	+	30.7475i	−0.965816	+	1.51666i
$412$	−14.0213	−	8.43831i	−0.690781	−	0.415725i
$413$	−13.1607	+	13.1607i	−0.647596	+	0.647596i
$414$	15.2976	+	5.71904i	0.751836	+	0.281075i
$415$		−	18.0347i		−	0.885290i
$416$	−13.3962	−	8.56755i	−0.656805	−	0.420059i
$417$	−7.80811	−	8.51780i	−0.382365	−	0.417118i
$418$	0.473966	+	0.131622i	0.0231824	+	0.00643785i
$419$	−0.499479	+	0.133835i	−0.0244012	+	0.00653827i	−0.270999	−	0.962580i	$-0.587354\pi$
$419$	−0.499479	+	0.133835i	−0.0244012	+	0.00653827i	0.246598	+	0.969118i	$0.420687\pi$
$420$	−42.7248	−	14.3199i	−2.08476	−	0.698741i
$421$	12.8514	+	3.44352i	0.626339	+	0.167827i	0.558008	−	0.829836i	$-0.311566\pi$
$421$	12.8514	+	3.44352i	0.626339	+	0.167827i	0.0683313	+	0.997663i	$0.478233\pi$
$422$	−13.0638	+	22.1601i	−0.635938	+	1.07874i
$423$	14.0467	+	1.22353i	0.682972	+	0.0594902i
$424$	30.3196	+	0.826002i	1.47245	+	0.0401142i
$425$	−21.0818	−	36.5148i	−1.02262	−	1.77123i
$426$	−17.5553	−	5.70720i	−0.850556	−	0.276515i
$427$	29.2717	−	7.84332i	1.41655	−	0.379565i
$428$	−16.2730	−	16.8750i	−0.786586	−	0.815683i
$429$	0.492279	+	0.945220i	0.0237675	+	0.0456356i
$430$	18.9400	−	18.5992i	0.913370	−	0.896934i
$431$	−8.61129			−0.414791			−0.207396	−	0.978257i	$-0.566499\pi$
$431$	−8.61129			−0.414791			−0.207396	+	0.978257i	$0.566499\pi$
$432$	−20.4967	−	3.44761i	−0.986147	−	0.165873i
$433$	6.43973			0.309474			0.154737	−	0.987956i	$-0.450547\pi$
$433$	6.43973			0.309474			0.154737	+	0.987956i	$0.450547\pi$
$434$	−28.2738	+	27.7651i	−1.35719	+	1.33277i
$435$	−6.52063	−	12.5202i	−0.312640	−	0.600297i
$436$	−12.8530	+	12.3945i	−0.615546	+	0.593588i
$437$	−5.90859	+	1.58320i	−0.282646	+	0.0757348i
$438$	7.51598	+	2.44343i	0.359127	+	0.116752i
$439$	14.4510	+	25.0298i	0.689707	+	1.19461i	0.971933	+	0.235260i	$0.0755941\pi$
$439$	14.4510	+	25.0298i	0.689707	+	1.19461i	−0.282225	+	0.959348i	$0.591073\pi$
$440$	1.73788	−	1.64570i	0.0828502	−	0.0784557i
$441$	−5.48331	−	11.7473i	−0.261110	−	0.559396i
$442$	8.55878	−	14.5182i	0.407100	−	0.690562i
$443$	−31.1860	−	8.35627i	−1.48169	−	0.397018i	−0.574770	−	0.818315i	$-0.694908\pi$
$443$	−31.1860	−	8.35627i	−1.48169	−	0.397018i	−0.906923	+	0.421297i	$0.861575\pi$
$444$	−4.15002	+	12.3820i	−0.196951	+	0.587622i
$445$	11.0592	−	2.96330i	0.524257	−	0.140474i
$446$	4.43805	+	1.23246i	0.210148	+	0.0583588i
$447$	26.1449	+	28.5212i	1.23661	+	1.34901i
$448$	−24.0097	+	12.1697i	−1.13435	+	0.574964i
$449$		−	10.7097i		−	0.505423i	−0.967542	−	0.252711i	$-0.918678\pi$
$449$		−	10.7097i		−	0.505423i	0.967542	−	0.252711i	$-0.0813223\pi$
$450$	32.5588	−	26.8410i	1.53484	−	1.26530i
$451$	0.527433	−	0.527433i	0.0248359	−	0.0248359i
$452$	−17.4530	+	29.0004i	−0.820920	+	1.36406i
$453$	−18.5606	+	29.1466i	−0.872054	+	1.36943i
$454$	11.2572	−	6.36381i	0.528329	−	0.298668i
$455$	31.6669	+	18.2829i	1.48457	+	0.857114i
$456$	6.99993	−	3.40660i	0.327802	−	0.159528i
$457$	13.1358	−	7.58393i	0.614465	−	0.354761i	−0.160246	−	0.987077i	$-0.551229\pi$
$457$	13.1358	−	7.58393i	0.614465	−	0.354761i	0.774711	+	0.632316i	$0.217895\pi$
$458$	3.77532	−	6.40406i	0.176409	−	0.299242i
$459$	2.86281	−	21.8416i	0.133624	−	1.01948i
$460$	−8.22407	+	28.6047i	−0.383449	+	1.33370i
$461$	−11.5696	−	3.10006i	−0.538849	−	0.144384i	−0.0208774	−	0.999782i	$-0.506646\pi$
$461$	−11.5696	−	3.10006i	−0.538849	−	0.144384i	−0.517971	+	0.855398i	$0.673313\pi$
$462$	1.80154	+	0.0947069i	0.0838154	+	0.00440617i
$463$	−2.03363	−	1.17412i	−0.0945107	−	0.0545658i	0.452000	−	0.892018i	$-0.350711\pi$
$463$	−2.03363	−	1.17412i	−0.0945107	−	0.0545658i	−0.546510	+	0.837452i	$0.684044\pi$
$464$	−8.06073	−	2.47684i	−0.374210	−	0.114984i
$465$	−12.0797	−	54.4391i	−0.560184	−	2.52455i
$466$	14.0215	+	14.2784i	0.649534	+	0.661436i
$467$	24.1509	+	24.1509i	1.11757	+	1.11757i	0.992097	+	0.125473i	$0.0400449\pi$
$467$	24.1509	+	24.1509i	1.11757	+	1.11757i	0.125473	+	0.992097i	$0.459955\pi$
$468$	15.7440	+	6.04941i	0.727768	+	0.279634i
$469$	12.7469	−	12.7469i	0.588596	−	0.588596i
$470$	−0.233287	+	25.6950i	−0.0107607	+	1.18522i
$471$	17.4413	+	19.0266i	0.803654	+	0.876700i
$472$	−13.3314	−	8.18886i	−0.613626	−	0.376923i
$473$	−0.531379	+	0.920376i	−0.0244328	+	0.0423189i
$474$	2.92978	+	13.7945i	0.134569	+	0.633601i
$475$	−4.09051	+	15.2660i	−0.187685	+	0.700452i
$476$	−13.8134	−	24.9614i	−0.633135	−	1.14410i
$477$	−31.6799	+	5.59846i	−1.45052	+	0.256336i
$478$	−20.5814	+	5.31499i	−0.941373	+	0.243102i
$479$	−2.40917	−	4.17281i	−0.110078	−	0.190660i	0.805724	−	0.592292i	$-0.201777\pi$
$479$	−2.40917	−	4.17281i	−0.110078	−	0.190660i	−0.915801	+	0.401631i	$0.868443\pi$
$480$	3.36059	−	37.7292i	0.153389	−	1.72210i
$481$	5.29851	−	9.17730i	0.241591	−	0.418449i
$482$	5.44096	−	19.5927i	0.247829	−	0.892422i
$483$	−19.8971	+	10.3626i	−0.905351	+	0.471515i
$484$	11.2947	−	18.7676i	0.513396	−	0.853072i
$485$	−41.7638	−	41.7638i	−1.89640	−	1.89640i
$486$	22.0315	−	0.782600i	0.999370	−	0.0354995i
$487$	37.5042			1.69948			0.849739	−	0.527204i	$-0.176760\pi$
$487$	37.5042			1.69948			0.849739	+	0.527204i	$0.176760\pi$
$488$	12.1315	+	22.3999i	0.549169	+	1.01400i
$489$	10.1806	+	3.20781i	0.460384	+	0.145062i
$490$	20.5672	−	11.6268i	0.929132	−	0.525246i
$491$	−0.504576	−	1.88310i	−0.0227712	−	0.0849832i	0.953605	−	0.301060i	$-0.0973405\pi$
$491$	−0.504576	−	1.88310i	−0.0227712	−	0.0849832i	−0.976376	+	0.216077i	$0.930674\pi$
$492$	0.726712	−	11.7823i	0.0327627	−	0.531186i
$493$	2.31315	−	8.63279i	0.104179	−	0.388801i
$494$	−6.11657	+	1.57955i	−0.275198	+	0.0710675i
$495$	−1.45530	+	2.08008i	−0.0654111	+	0.0934925i
$496$	−28.2245	−	17.6920i	−1.26732	−	0.794392i
$497$	21.9598	−	12.6785i	0.985032	−	0.568708i
$498$	9.58236	+	6.22506i	0.429396	+	0.278952i
$499$	−2.91509	−	10.8793i	−0.130497	−	0.487023i	0.869478	−	0.493971i	$-0.164455\pi$
$499$	−2.91509	−	10.8793i	−0.130497	−	0.487023i	−0.999976	+	0.00694794i	$0.997788\pi$
$500$	26.5444	+	27.5263i	1.18710	+	1.23101i
$501$	−1.03320	+	23.7680i	−0.0461598	+	1.06187i
$502$	−7.19487	−	0.0653226i	−0.321123	−	0.00291549i
$503$			15.3339i			0.683706i	0.939753	+	0.341853i	$0.111055\pi$
$503$			15.3339i			0.683706i	−0.939753	+	0.341853i	$0.888945\pi$
$504$	22.3559	−	17.7581i	0.995812	−	0.791007i
$505$		−	0.519039i		−	0.0230969i
$506$	0.0108181	−	1.19155i	0.000480925	−	0.0529708i
$507$	7.44813	+	4.74299i	0.330783	+	0.210644i
$508$	−26.8012	−	0.486700i	−1.18911	−	0.0215938i
$509$	8.59758	+	32.0866i	0.381081	+	1.42221i	0.844253	+	0.535945i	$0.180045\pi$
$509$	8.59758	+	32.0866i	0.381081	+	1.42221i	−0.463172	+	0.886269i	$0.653289\pi$
$510$	40.0900	+	2.10753i	1.77522	+	0.0933229i
$511$	−9.40169	+	5.42807i	−0.415906	+	0.240124i
$512$	−14.6407	−	17.2525i	−0.647035	−	0.762461i
$513$	−6.54791	+	5.03034i	−0.289097	+	0.222095i
$514$	2.01151	+	7.78924i	0.0887238	+	0.343568i
$515$	−8.18713	+	30.5548i	−0.360768	+	1.34641i
$516$	3.34474	+	16.4833i	0.147244	+	0.725636i
$517$	−0.266262	−	0.993703i	−0.0117102	−	0.0437030i
$518$	−8.82774	−	15.6158i	−0.387869	−	0.686119i
$519$	−2.03677	−	9.17899i	−0.0894042	−	0.402913i
$520$	−8.76109	+	29.4626i	−0.384199	+	1.29202i
$521$	20.5032			0.898262			0.449131	−	0.893466i	$-0.351734\pi$
$521$	20.5032			0.898262			0.449131	+	0.893466i	$0.351734\pi$
$522$	8.90306	+	0.857008i	0.389676	+	0.0375102i
$523$	−29.2406	−	29.2406i	−1.27860	−	1.27860i	−0.941451	−	0.337151i	$-0.890537\pi$
$523$	−29.2406	−	29.2406i	−1.27860	−	1.27860i	−0.337151	−	0.941451i	$-0.609463\pi$
$524$	0.316036	+	1.27136i	0.0138061	+	0.0555398i
$525$	−2.51725	+	57.9076i	−0.109862	+	2.52730i
$526$	−29.6425	−	8.23184i	−1.29247	−	0.358925i
$527$	17.6523	−	30.5746i	0.768944	−	1.33185i
$528$	0.274542	+	1.49143i	0.0119479	+	0.0649063i
$529$	−4.09099	−	7.08581i	−0.177869	−	0.308079i
$530$	−14.6596	−	56.7668i	−0.636771	−	2.46579i
$531$	15.5960	+	5.66974i	0.676808	+	0.246046i
$532$	−2.95479	+	10.2773i	−0.128107	+	0.445576i
$533$	−2.47928	+	9.25281i	−0.107390	+	0.400784i
$534$	−2.24283	+	6.89892i	−0.0970566	+	0.298545i
$535$	−22.6575	+	39.2440i	−0.979570	+	1.69667i
$536$	12.9122	+	7.93136i	0.557720	+	0.342583i
$537$	−0.279825	+	0.888083i	−0.0120754	+	0.0383236i
$538$	−14.8687	−	0.134994i	−0.641036	−	0.00582001i
$539$	−0.668841	+	0.668841i	−0.0288090	+	0.0288090i
$540$	4.54279	+	39.9187i	0.195490	+	1.71783i
$541$	20.5836	+	20.5836i	0.884956	+	0.884956i	0.994033	−	0.109077i	$-0.0347895\pi$
$541$	20.5836	+	20.5836i	0.884956	+	0.884956i	−0.109077	+	0.994033i	$0.534790\pi$
$542$	11.9949	−	11.7790i	0.515224	−	0.505953i
$543$	11.6578	+	3.67324i	0.500282	+	0.157634i
$544$	17.7095	−	16.1705i	0.759290	−	0.693305i
$545$	29.8905	+	17.2573i	1.28037	+	0.739221i
$546$	−20.6447	+	10.5148i	−0.883511	+	0.449991i
$547$	−38.0779	−	10.2029i	−1.62809	−	0.436246i	−0.674728	−	0.738067i	$-0.735739\pi$
$547$	−38.0779	−	10.2029i	−1.62809	−	0.436246i	−0.953365	+	0.301821i	$0.902406\pi$
$548$	36.8287	−	20.3806i	1.57324	−	0.870616i
$549$	−17.3756	−	20.6914i	−0.741574	−	0.883089i
$550$	−2.65217	−	1.56350i	−0.113089	−	0.0666680i
$551$	−2.90122	+	1.67502i	−0.123596	+	0.0713584i
$552$	−12.3598	−	14.2432i	−0.526067	−	0.606230i
$553$	−16.7761	−	9.68566i	−0.713391	−	0.411876i
$554$	7.21093	+	12.7558i	0.306363	+	0.541940i
$555$	25.2189	+	1.09627i	1.07048	+	0.0465340i
$556$	3.21876	+	12.9486i	0.136506	+	0.549142i
$557$	1.52288	−	1.52288i	0.0645265	−	0.0645265i	−0.674107	−	0.738634i	$-0.735471\pi$
$557$	1.52288	−	1.52288i	0.0645265	−	0.0645265i	0.738634	+	0.674107i	$0.235471\pi$
$558$	33.0946	+	12.3725i	1.40101	+	0.523769i
$559$		−	13.6484i		−	0.577266i
$560$	35.4318	+	38.1035i	1.49727	+	1.61017i
$561$	−1.56908	+	0.348170i	−0.0662466	+	0.0146998i
$562$	5.34038	−	19.2305i	0.225270	−	0.811189i
$563$	−4.85715	+	1.30147i	−0.204705	+	0.0548504i	−0.359714	−	0.933063i	$-0.617126\pi$
$563$	−4.85715	+	1.30147i	−0.204705	+	0.0548504i	0.155010	+	0.987913i	$0.450459\pi$
$564$	−13.5720	−	8.99312i	−0.571483	−	0.378679i
$565$	63.1966	+	16.9335i	2.65870	+	0.712397i
$566$	16.1378	+	9.51354i	0.678322	+	0.399884i
$567$	−19.4475	+	23.2126i	−0.816719	+	0.974836i
$568$	14.6562	+	15.4771i	0.614961	+	0.649407i
$569$	17.4710	+	30.2606i	0.732421	+	1.26859i	0.955846	+	0.293869i	$0.0949430\pi$
$569$	17.4710	+	30.2606i	0.732421	+	1.26859i	−0.223425	+	0.974721i	$0.571724\pi$
$570$	−10.0673	−	11.1845i	−0.421672	−	0.468466i
$571$	34.1869	−	9.16034i	1.43068	−	0.383348i	0.541417	−	0.840754i	$-0.317888\pi$
$571$	34.1869	−	9.16034i	1.43068	−	0.383348i	0.889258	+	0.457406i	$0.151221\pi$
$572$	0.0223435	−	1.23040i	0.000934229	−	0.0514454i
$573$	10.0581	−	15.7947i	0.420185	−	0.659835i
$574$	11.3614	+	11.5696i	0.474217	+	0.482907i
$575$	38.2852			1.59660
$576$	18.8866	+	14.8086i	0.786943	+	0.617025i
$577$	−17.4865			−0.727972			−0.363986	−	0.931404i	$-0.618584\pi$
$577$	−17.4865			−0.727972			−0.363986	+	0.931404i	$0.618584\pi$
$578$	0.963419	+	0.981073i	0.0400730	+	0.0408073i
$579$	−8.99970	−	0.391218i	−0.374015	−	0.0162584i
$580$	−0.295958	+	16.2976i	−0.0122890	+	0.676719i
$581$	−15.1616	+	4.06253i	−0.629008	+	0.168542i
$582$	36.6060	−	7.77465i	1.51737	−	0.322270i
$583$	1.17362	+	2.03278i	0.0486065	+	0.0841890i
$584$	−6.27479	−	6.62626i	−0.259653	−	0.274197i
$585$	2.82909	−	32.4792i	0.116969	−	1.34285i
$586$	−37.4684	−	22.0883i	−1.54780	−	0.912461i
$587$	12.3561	+	3.31081i	0.509991	+	0.136652i	0.504633	−	0.863334i	$-0.331628\pi$
$587$	12.3561	+	3.31081i	0.509991	+	0.136652i	0.00535825	+	0.999986i	$0.498294\pi$
$588$	−0.921548	+	14.9412i	−0.0380040	+	0.616164i
$589$	−12.7825	+	3.42507i	−0.526696	+	0.141128i
$590$	−8.09224	+	29.1398i	−0.333152	+	1.19967i
$591$	2.16827	−	6.88145i	0.0891907	−	0.283065i
$592$	11.0427	−	10.2684i	0.453851	−	0.422029i
$593$		−	25.7816i		−	1.05872i	−0.848397	−	0.529361i	$-0.822432\pi$
$593$		−	25.7816i		−	1.05872i	0.848397	−	0.529361i	$-0.177568\pi$
$594$	−0.602875	−	1.49123i	−0.0247363	−	0.0611858i
$595$	−38.9937	+	38.9937i	−1.59858	+	1.59858i
$596$	−10.7778	−	43.3574i	−0.441475	−	1.77599i
$597$	−2.05844	−	3.95239i	−0.0842465	−	0.161761i
$598$	7.53087	+	13.3217i	0.307960	+	0.544765i
$599$	−27.3647	−	15.7990i	−1.11809	−	0.645531i	−0.177180	−	0.984179i	$-0.556697\pi$
$599$	−27.3647	−	15.7990i	−1.11809	−	0.645531i	−0.940913	+	0.338647i	$0.890031\pi$
$600$	−47.8367	+	9.25553i	−1.95293	+	0.377855i
$601$	−23.3729	+	13.4944i	−0.953401	+	0.550447i	−0.894136	−	0.447796i	$-0.852209\pi$
$601$	−23.3729	+	13.4944i	−0.953401	+	0.550447i	−0.0592656	+	0.998242i	$0.518876\pi$
$602$	−19.9026	−	11.7330i	−0.811169	−	0.478200i
$603$	−15.1056	−	5.49146i	−0.615146	−	0.223630i
$604$	34.9111	−	19.3194i	1.42051	−	0.786097i
$605$	−40.8977	−	10.9585i	−1.66273	−	0.445527i
$606$	0.275780	+	0.179157i	0.0112028	+	0.00727776i
$607$	21.2314	+	12.2579i	0.861755	+	0.497534i	0.864600	−	0.502462i	$-0.167572\pi$
$607$	21.2314	+	12.2579i	0.861755	+	0.497534i	−0.00284471	+	0.999996i	$0.500905\pi$
$608$	−8.97992	−	0.407915i	−0.364184	−	0.0165431i
$609$	−9.05671	+	8.30212i	−0.366996	+	0.336419i
$610$	35.1334	−	34.5012i	1.42251	−	1.39691i
$611$	9.34212	+	9.34212i	0.377942	+	0.377942i
$612$	−14.9577	+	20.5735i	−0.604629	+	0.831635i
$613$	−30.3894	+	30.3894i	−1.22742	+	1.22742i	−0.262481	+	0.964937i	$0.584541\pi$
$613$	−30.3894	+	30.3894i	−1.22742	+	1.22742i	−0.964937	+	0.262481i	$0.915459\pi$
$614$	−47.6198	−	0.432343i	−1.92178	−	0.0174480i
$615$	−22.2764	+	4.94301i	−0.898272	+	0.199322i
$616$	−1.77500	−	1.09030i	−0.0715167	−	0.0439295i
$617$	15.8393	−	27.4345i	0.637668	−	1.10447i	−0.348275	−	0.937392i	$-0.613233\pi$
$617$	15.8393	−	27.4345i	0.637668	−	1.10447i	0.985943	−	0.167081i	$-0.0534341\pi$
$618$	−13.4087	−	14.8967i	−0.539376	−	0.599232i
$619$	5.39413	−	20.1312i	0.216809	−	0.809141i	−0.768713	−	0.639593i	$-0.779103\pi$
$619$	5.39413	−	20.1312i	0.216809	−	0.809141i	0.985522	−	0.169547i	$-0.0542305\pi$
$620$	−17.7918	+	61.8829i	−0.714537	+	2.48528i
$621$	15.8757	+	12.1675i	0.637071	+	0.488264i
$622$	3.76031	+	14.5612i	0.150775	+	0.583851i
$623$	−4.98242	−	8.62981i	−0.199617	−	0.345746i
$624$	−12.6302	−	14.8246i	−0.505614	−	0.593461i
$625$	12.0944	−	20.9481i	0.483775	−	0.837923i
$626$	25.9043	+	7.19372i	1.03534	+	0.287519i
$627$	0.508167	+	0.323602i	0.0202943	+	0.0129234i
$628$	−7.18989	−	28.9238i	−0.286908	−	1.15419i
$629$	11.3007	+	11.3007i	0.450587	+	0.450587i
$630$	−44.9302	−	32.0465i	−1.79006	−	1.27676i
$631$	−19.9953			−0.796002			−0.398001	−	0.917385i	$-0.630296\pi$
$631$	−19.9953			−0.796002			−0.398001	+	0.917385i	$0.630296\pi$
$632$	4.64134	−	15.6083i	0.184623	−	0.620866i
$633$	−23.2243	+	21.2893i	−0.923084	+	0.846174i
$634$	8.55612	+	15.1353i	0.339807	+	0.601101i
$635$	13.4107	+	50.0494i	0.532187	+	1.98615i
$636$	35.2218	+	11.8052i	1.39664	+	0.468106i
$637$	3.14400	−	11.7335i	0.124570	−	0.464900i
$638$	−0.163173	−	0.631861i	−0.00646008	−	0.0250156i
$639$	−18.5247	−	12.9606i	−0.732824	−	0.512713i
$640$	−24.2307	+	36.4133i	−0.957803	+	1.43936i
$641$	12.6976	−	7.33098i	0.501526	−	0.289556i	−0.227818	−	0.973704i	$-0.573159\pi$
$641$	12.6976	−	7.33098i	0.501526	−	0.289556i	0.729344	+	0.684148i	$0.239826\pi$
$642$	−13.0307	−	25.5845i	−0.514282	−	1.00974i
$643$	−3.45056	−	12.8777i	−0.136077	−	0.507846i	−0.999991	−	0.00420705i	$-0.998661\pi$
$643$	−3.45056	−	12.8777i	−0.136077	−	0.507846i	0.863914	−	0.503639i	$-0.168006\pi$
$644$	25.9002	+	0.470337i	1.02061	+	0.0185339i
$645$	28.8350	−	15.0175i	1.13538	−	0.591315i
$646$	0.0864938	−	9.52673i	0.00340305	−	0.374824i
$647$		−	30.5078i		−	1.19939i	−0.800231	−	0.599693i	$-0.795290\pi$
$647$		−	30.5078i		−	1.19939i	0.800231	−	0.599693i	$-0.204710\pi$
$648$	−22.7780	−	11.3651i	−0.894803	−	0.446461i
$649$		−	1.21078i		−	0.0475272i
$650$	39.5367	+	0.358956i	1.55076	+	0.0140794i
$651$	−43.0451	+	22.4183i	−1.68707	+	0.878642i
$652$	−8.55564	−	8.87212i	−0.335065	−	0.347459i
$653$	5.39824	+	20.1465i	0.211249	+	0.788394i	0.987453	+	0.157912i	$0.0504761\pi$
$653$	5.39824	+	20.1465i	0.211249	+	0.788394i	−0.776204	+	0.630482i	$0.782857\pi$
$654$	−19.4866	+	9.92496i	−0.761987	+	0.388097i
$655$	2.19305	−	1.26616i	0.0856896	−	0.0494729i
$656$	−7.23953	+	11.5494i	−0.282656	+	0.450930i
$657$	7.93100	+	5.54884i	0.309418	+	0.216481i
$658$	21.6540	−	5.59198i	0.844162	−	0.217998i
$659$	−3.90477	+	14.5728i	−0.152108	+	0.567676i	0.847227	+	0.531230i	$0.178270\pi$
$659$	−3.90477	+	14.5728i	−0.152108	+	0.567676i	−0.999336	+	0.0364452i	$0.988397\pi$
$660$	2.62404	−	1.30662i	0.102141	−	0.0508600i
$661$	2.44325	+	9.11835i	0.0950316	+	0.354663i	0.997024	−	0.0770887i	$-0.0245625\pi$
$661$	2.44325	+	9.11835i	0.0950316	+	0.354663i	−0.901993	+	0.431751i	$0.857896\pi$
$662$	42.5647	−	24.0622i	1.65432	−	0.935202i
$663$	15.2154	−	13.9477i	0.590918	−	0.541684i
$664$	−6.28366	−	11.6023i	−0.243853	−	0.450256i
$665$	20.6706			0.801570
$666$	−9.28731	+	13.0211i	−0.359876	+	0.504558i
$667$	5.73833	+	5.73833i	0.222189	+	0.222189i
$668$	14.1651	−	23.5371i	0.548064	−	0.910678i
$669$	4.75830	+	3.03010i	0.183966	+	0.117150i
$670$	7.83778	−	28.2235i	0.302800	−	1.09037i
$671$	−0.985698	+	1.70728i	−0.0380525	+	0.0659088i
$672$	−32.4755	+	5.67374i	−1.25277	+	0.218869i
$673$	−16.1140	−	27.9103i	−0.621149	−	1.07586i	−0.989272	−	0.146085i	$-0.953333\pi$
$673$	−16.1140	−	27.9103i	−0.621149	−	1.07586i	0.368123	−	0.929777i	$-0.380001\pi$
$674$	39.3516	−	10.1622i	1.51577	−	0.391434i
$675$	47.7343	−	19.8042i	1.83729	−	0.762263i
$676$	−4.93689	−	8.92120i	−0.189880	−	0.343123i
$677$	−4.16296	+	15.5364i	−0.159996	+	0.597111i	0.838630	+	0.544701i	$0.183357\pi$
$677$	−4.16296	+	15.5364i	−0.159996	+	0.597111i	−0.998626	+	0.0524101i	$0.983310\pi$
$678$	−30.8109	+	27.7332i	−1.18328	+	1.06509i
$679$	−25.7025	+	44.5181i	−0.986372	+	1.70845i
$680$	−39.4993	−	24.2626i	−1.51473	−	0.930430i
$681$	15.4617	−	3.43087i	0.592494	−	0.131471i
$682$	0.0234038	−	2.57778i	0.000896177	−	0.0987081i
$683$	−28.6734	+	28.6734i	−1.09716	+	1.09716i	−0.102416	+	0.994742i	$0.532657\pi$
$683$	−28.6734	+	28.6734i	−1.09716	+	1.09716i	−0.994742	+	0.102416i	$0.967343\pi$
$684$	9.41756	−	1.48847i	0.360089	−	0.0569132i
$685$	−57.5322	−	57.5322i	−2.19819	−	2.19819i
$686$	8.93074	+	9.09439i	0.340977	+	0.347225i
$687$	6.71160	−	6.15240i	0.256064	−	0.234729i
$688$	5.70435	−	18.5645i	0.217476	−	0.707766i
$689$	−26.1058	−	15.0722i	−0.994552	−	0.574205i
$690$	−19.8585	+	30.5685i	−0.755999	+	1.16372i
$691$	44.0504	+	11.8033i	1.67575	+	0.449017i	0.966653	−	0.256089i	$-0.0824340\pi$
$691$	44.0504	+	11.8033i	1.67575	+	0.449017i	0.709102	+	0.705106i	$0.249101\pi$
$692$	−2.99988	+	10.4341i	−0.114038	+	0.396645i
$693$	2.07652	+	0.754895i	0.0788804	+	0.0286761i
$694$	−8.13025	+	13.7913i	−0.308620	+	0.523511i
$695$	22.3358	−	12.8956i	0.847243	−	0.489156i
$696$	−8.55720	−	5.78269i	−0.324360	−	0.219192i
$697$	−12.5111	−	7.22328i	−0.473892	−	0.273601i
$698$	13.8283	−	7.81726i	0.523410	−	0.295888i
$699$	11.3214	+	21.7380i	0.428213	+	0.822208i
$700$	34.5115	−	57.3452i	1.30441	−	2.16744i
$701$	−13.0178	+	13.0178i	−0.491676	+	0.491676i	−0.908834	−	0.417158i	$-0.863026\pi$
$701$	−13.0178	+	13.0178i	−0.491676	+	0.491676i	0.417158	+	0.908834i	$0.363026\pi$
$702$	16.2806	+	12.7140i	0.614472	+	0.479861i
$703$		−	5.99049i		−	0.225935i
$704$	0.544635	−	1.66424i	0.0205267	−	0.0627235i
$705$	−9.45784	+	30.0164i	−0.356203	+	1.13048i
$706$	−2.92576	−	0.812494i	−0.110112	−	0.0305786i
$707$	−0.436349	+	0.116919i	−0.0164106	+	0.00439721i
$708$	−12.6896	−	14.3578i	−0.476905	−	0.539601i
$709$	−16.3841	−	4.39011i	−0.615319	−	0.164874i	−0.0623199	−	0.998056i	$-0.519850\pi$
$709$	−16.3841	−	4.39011i	−0.615319	−	0.164874i	−0.552999	+	0.833182i	$0.686517\pi$
$710$	20.9243	−	35.4938i	0.785274	−	1.33206i
$711$	−1.49876	+	17.2064i	−0.0562079	+	0.645291i
$712$	6.08224	−	5.75963i	0.227942	−	0.215851i
$713$	16.0285	+	27.7622i	0.600273	+	1.03970i
$714$	−7.25897	−	34.1779i	−0.271660	−	1.27908i
$715$	−2.29767	+	0.615660i	−0.0859282	+	0.0230244i
$716$	0.773939	−	0.746331i	0.0289234	−	0.0278917i
$717$	−26.0094	−	1.13063i	−0.971339	−	0.0422242i
$718$	−11.1162	+	10.9162i	−0.414853	+	0.407387i
$719$	−43.0731			−1.60635			−0.803177	−	0.595740i	$-0.796859\pi$
$719$	−43.0731			−1.60635			−0.803177	+	0.595740i	$0.796859\pi$
$720$	17.4228	−	42.9957i	0.649310	−	1.60235i
$721$	27.5313			1.02532
$722$	16.6237	−	16.3246i	0.618671	−	0.607538i
$723$	13.3770	−	21.0065i	0.497495	−	0.781240i
$724$	−9.79700	−	10.1594i	−0.364103	−	0.377571i
$725$	20.2528	−	5.42673i	0.752171	−	0.201544i
$726$	19.9393	−	17.9476i	0.740016	−	0.666097i
$727$	15.3101	+	26.5179i	0.567821	+	0.983495i	0.996781	+	0.0801716i	$0.0255468\pi$
$727$	15.3101	+	26.5179i	0.567821	+	0.983495i	−0.428960	+	0.903324i	$0.641120\pi$
$728$	26.7424	+	0.728547i	0.991138	+	0.0270017i
$729$	26.0880	+	6.95830i	0.966221	+	0.257715i
$730$	−8.95835	+	15.1960i	−0.331563	+	0.562430i
$731$	19.8820	+	5.32737i	0.735363	+	0.197040i
$732$	6.20443	+	30.5762i	0.229322	+	1.13013i
$733$	−2.53658	+	0.679676i	−0.0936909	+	0.0251044i	−0.305360	−	0.952237i	$-0.598777\pi$
$733$	−2.53658	+	0.679676i	−0.0936909	+	0.0251044i	0.211669	+	0.977341i	$0.432110\pi$
$734$	−31.6838	−	8.79870i	−1.16947	−	0.324766i
$735$	28.2489	−	6.26827i	1.04197	−	0.231209i
$736$	4.67566	+	21.2677i	0.172347	+	0.783937i
$737$			1.17271i			0.0431972i
$738$	5.06280	−	13.5423i	0.186364	−	0.498498i
$739$	13.1402	−	13.1402i	0.483370	−	0.483370i	−0.422836	−	0.906206i	$-0.638965\pi$
$739$	13.1402	−	13.1402i	0.483370	−	0.483370i	0.906206	+	0.422836i	$0.138965\pi$
$740$	−24.9739	−	15.0298i	−0.918061	−	0.552507i
$741$	−7.72970	−	0.336011i	−0.283958	−	0.0123437i
$742$	−44.4209	+	25.1115i	−1.63074	+	0.921871i
$743$	−1.79055	−	1.03378i	−0.0656890	−	0.0379255i	0.466796	−	0.884365i	$-0.345408\pi$
$743$	−1.79055	−	1.03378i	−0.0656890	−	0.0379255i	−0.532485	+	0.846440i	$0.678742\pi$
$744$	−26.7389	−	30.8135i	−0.980297	−	1.12968i
$745$	−74.7897	+	43.1798i	−2.74008	+	1.58199i
$746$	−7.38343	+	12.5245i	−0.270327	+	0.458554i
$747$	8.99989	+	10.7174i	0.329289	+	0.392127i
$748$	1.78363	+	0.512808i	0.0652160	+	0.0187501i
$749$	38.0958	+	10.2077i	1.39199	+	0.372982i
$750$	21.2556	+	41.7331i	0.776143	+	1.52388i
$751$	7.86676	+	4.54188i	0.287062	+	0.165735i	0.636616	−	0.771181i	$-0.280334\pi$
$751$	7.86676	+	4.54188i	0.287062	+	0.165735i	−0.349554	+	0.936916i	$0.613667\pi$
$752$	8.80258	+	16.6117i	0.320997	+	0.605765i
$753$	−8.40489	−	2.64829i	−0.306291	−	0.0965091i
$754$	5.87211	+	5.97971i	0.213849	+	0.217768i
$755$	−54.5367	−	54.5367i	−1.98479	−	1.98479i
$756$	32.5358	−	12.8112i	1.18332	−	0.465939i
$757$	18.3910	−	18.3910i	0.668433	−	0.668433i	−0.288920	−	0.957353i	$-0.593296\pi$
$757$	18.3910	−	18.3910i	0.668433	−	0.668433i	0.957353	+	0.288920i	$0.0932961\pi$
$758$	−0.111635	+	12.2959i	−0.00405476	+	0.446606i
$759$	0.438586	−	1.39194i	0.0159196	−	0.0505242i
$760$	4.03848	+	16.9001i	0.146491	+	0.613032i
$761$	14.1080	−	24.4358i	0.511415	−	0.885797i	−0.488497	−	0.872565i	$-0.662455\pi$
$761$	14.1080	−	24.4358i	0.511415	−	0.885797i	0.999912	−	0.0132318i	$-0.00421194\pi$
$762$	−31.2216	−	10.1501i	−1.13104	−	0.367700i
$763$	7.77481	−	29.0160i	0.281467	−	1.05045i
$764$	−18.9186	+	10.4693i	−0.684451	+	0.378767i
$765$	46.2091	+	16.7988i	1.67069	+	0.607362i
$766$	−3.83869	+	0.991310i	−0.138697	+	0.0358175i
$767$	7.77467	+	13.4661i	0.280727	+	0.486234i
$768$	−10.9837	−	25.4433i	−0.396339	−	0.918104i
$769$	−14.6064	+	25.2991i	−0.526722	+	0.912309i	0.472794	+	0.881173i	$0.343246\pi$
$769$	−14.6064	+	25.2991i	−0.526722	+	0.912309i	−0.999515	+	0.0311354i	$0.990088\pi$
$770$	−1.07744	+	3.87980i	−0.0388281	+	0.139818i
$771$	−0.427898	+	9.84350i	−0.0154104	+	0.354505i
$772$	8.91228	+	5.36358i	0.320760	+	0.193040i
$773$	10.5491	+	10.5491i	0.379425	+	0.379425i	0.870895	−	0.491470i	$-0.163540\pi$
$773$	10.5491	+	10.5491i	0.379425	+	0.379425i	−0.491470	+	0.870895i	$0.663540\pi$
$774$	−1.97376	+	20.5045i	−0.0709453	+	0.737018i
$775$	82.8256			2.97518
$776$	−41.4193	−	12.3166i	−1.48687	−	0.442139i
$777$	−4.75923	−	21.4482i	−0.170736	−	0.769448i
$778$	−37.2137	+	21.0372i	−1.33418	+	0.754220i
$779$	1.40154	+	5.23060i	0.0502152	+	0.187406i
$780$	−20.7942	+	31.3816i	−0.744552	+	1.12364i
$781$	−0.426938	+	1.59335i	−0.0152770	+	0.0570146i
$782$	−22.3456	+	5.77058i	−0.799078	+	0.206356i
$783$	10.1229	+	4.18627i	0.361764	+	0.149605i
$784$	9.18049	−	14.6459i	0.327875	−	0.523068i
$785$	−49.8924	+	28.8054i	−1.78074	+	1.02811i
$786$	−0.0842312	+	1.60227i	−0.00300443	+	0.0571511i
$787$	−9.05729	−	33.8023i	−0.322857	−	1.20492i	−0.916448	−	0.400153i	$-0.868957\pi$
$787$	−9.05729	−	33.8023i	−0.322857	−	1.20492i	0.593591	−	0.804767i	$-0.297710\pi$
$788$	−5.99698	+	5.78306i	−0.213634	+	0.206013i
$789$	−31.7815	−	20.2385i	−1.13145	−	0.720511i
$790$	−31.4750	−	0.285764i	−1.11983	−	0.0101670i
$791$		−	56.9431i		−	2.02466i
$792$	−0.211501	+	1.84523i	−0.00751535	+	0.0655675i
$793$		−	25.3175i		−	0.899052i
$794$	0.0355501	−	3.91561i	0.00126163	−	0.138960i
$795$	3.11845	−	71.7379i	0.110600	−	2.54428i
$796$	−0.0934284	+	5.14484i	−0.00331148	+	0.182354i
$797$	−7.41329	−	27.6668i	−0.262592	−	0.980007i	−0.963708	−	0.266959i	$-0.913981\pi$
$797$	−7.41329	−	27.6668i	−0.262592	−	0.980007i	0.701116	−	0.713048i	$-0.252686\pi$
$798$	−7.13488	+	10.9829i	−0.252572	+	0.388789i
$799$	−17.2554	+	9.96243i	−0.610453	+	0.352445i
$800$	53.6277	+	17.0126i	1.89602	+	0.601487i
$801$	−5.09328	+	7.27986i	−0.179962	+	0.257221i
$802$	11.7331	+	45.4344i	0.414309	+	1.60435i
$803$	0.182786	−	0.682165i	0.00645036	−	0.0240731i
$804$	12.2906	+	13.9064i	0.433455	+	0.490440i
$805$	−12.9598	−	48.3667i	−0.456773	−	1.70470i
$806$	16.2922	+	28.8200i	0.573867	+	1.01514i
$807$	−17.3693	−	5.47289i	−0.611429	−	0.192655i
$808$	−0.180844	−	0.333913i	−0.00636205	−	0.0117470i
$809$	39.9831			1.40573			0.702865	−	0.711323i	$-0.251904\pi$
$809$	39.9831			1.40573			0.702865	+	0.711323i	$0.251904\pi$
$810$	−8.94721	+	48.3855i	−0.314373	+	1.70009i
$811$	−33.5121	−	33.5121i	−1.17677	−	1.17677i	−0.980563	−	0.196204i	$-0.937138\pi$
$811$	−33.5121	−	33.5121i	−1.17677	−	1.17677i	−0.196204	−	0.980563i	$-0.562862\pi$
$812$	13.7678	−	3.42240i	0.483156	−	0.120103i
$813$	18.2614	−	9.51073i	0.640457	−	0.333556i
$814$	1.12440	+	0.312249i	0.0394101	+	0.0109443i
$815$	−11.9123	+	20.6328i	−0.417271	+	0.722734i
$816$	26.5254	−	12.6123i	0.928576	−	0.441520i
$817$	−3.85771	−	6.68176i	−0.134964	−	0.233765i
$818$	−9.34868	−	36.2012i	−0.326869	−	1.26575i
$819$	−27.9421	+	4.93793i	−0.976377	+	0.172545i
$820$	25.3224	+	7.28039i	0.884297	+	0.254242i
$821$	−2.91908	+	10.8942i	−0.101877	+	0.380209i	−0.997972	−	0.0636527i	$-0.979725\pi$
$821$	−2.91908	+	10.8942i	−0.101877	+	0.380209i	0.896096	+	0.443861i	$0.146392\pi$
$822$	50.4270	−	10.7101i	1.75884	−	0.373556i
$823$	27.4702	−	47.5798i	0.957551	−	1.65853i	0.229131	−	0.973396i	$-0.426412\pi$
$823$	27.4702	−	47.5798i	0.957551	−	1.65853i	0.728420	−	0.685131i	$-0.240255\pi$
$824$	5.37888	+	22.5094i	0.187382	+	0.784152i
$825$	−2.54794	−	2.77953i	−0.0887080	−	0.0967708i
$826$	26.3203	+	0.238964i	0.915801	+	0.00831462i
$827$	−14.2104	+	14.2104i	−0.494144	+	0.494144i	−0.909609	−	0.415465i	$-0.863619\pi$
$827$	−14.2104	+	14.2104i	−0.494144	+	0.494144i	0.415465	+	0.909609i	$0.363619\pi$
$828$	−9.38737	−	21.1027i	−0.326234	−	0.733371i
$829$	6.15512	+	6.15512i	0.213776	+	0.213776i	0.805869	−	0.592093i	$-0.201698\pi$
$829$	6.15512	+	6.15512i	0.213776	+	0.213776i	−0.592093	+	0.805869i	$0.701698\pi$
$830$	−18.1977	+	17.8703i	−0.631652	+	0.620286i
$831$	3.88757	+	17.5199i	0.134858	+	0.607759i
$832$	4.62909	+	22.0067i	0.160485	+	0.762946i
$833$	15.8654	+	9.15989i	0.549704	+	0.317371i
$834$	−0.857877	+	16.3188i	−0.0297058	+	0.565073i
$835$	−51.2913	−	13.7435i	−1.77501	−	0.475612i
$836$	−0.336832	−	0.608672i	−0.0116496	−	0.0210513i
$837$	34.3453	+	26.3229i	1.18715	+	0.909853i
$838$	0.629969	+	0.371379i	0.0217619	+	0.0128291i
$839$	−21.5384	+	12.4352i	−0.743590	+	0.429312i	−0.823373	−	0.567500i	$-0.807911\pi$
$839$	−21.5384	+	12.4352i	−0.743590	+	0.429312i	0.0797833	+	0.996812i	$0.474577\pi$
$840$	27.8858	+	57.3002i	0.962151	+	1.97705i
$841$	−21.2658	−	12.2778i	−0.733303	−	0.423373i
$842$	−9.25956	−	16.3797i	−0.319105	−	0.564481i
$843$	13.1297	−	20.6181i	0.452210	−	0.710127i
$844$	35.3051	−	8.77615i	1.21525	−	0.302087i
$845$	−13.9363	+	13.9363i	−0.479424	+	0.479424i
$846$	−12.6840	−	15.3860i	−0.436084	−	0.528981i
$847$			36.8507i			1.26621i
$848$	−29.2096	−	31.4121i	−1.00306	−	1.07870i
$849$	15.5036	+	16.9128i	0.532083	+	0.580444i
$850$	−15.9552	+	57.4541i	−0.547260	+	1.97066i
$851$	−14.0170	+	3.75585i	−0.480497	+	0.128749i
$852$	11.6364	+	23.3691i	0.398657	+	0.800612i
$853$	18.8477	+	5.05023i	0.645334	+	0.172917i	0.566618	−	0.823980i	$-0.308251\pi$
$853$	18.8477	+	5.05023i	0.645334	+	0.172917i	0.0787157	+	0.996897i	$0.474918\pi$
$854$	−36.9189	−	21.7644i	−1.26334	−	0.744763i
$855$	−7.79521	−	16.7003i	−0.266590	−	0.571137i
$856$	−0.902871	+	33.1412i	−0.0308595	+	1.13274i
$857$	18.6982	+	32.3862i	0.638717	+	1.10629i	0.985715	+	0.168424i	$0.0538679\pi$
$857$	18.6982	+	32.3862i	0.638717	+	1.10629i	−0.346998	+	0.937866i	$0.612799\pi$
$858$	0.465973	−	1.43333i	0.0159080	−	0.0489330i
$859$	26.5180	−	7.10549i	0.904784	−	0.242436i	0.223714	−	0.974655i	$-0.428182\pi$
$859$	26.5180	−	7.10549i	0.904784	−	0.242436i	0.681070	+	0.732219i	$0.261515\pi$
$860$	−37.5346	−	0.681614i	−1.27992	−	0.0232429i
$861$	9.17354	+	17.6140i	0.312634	+	0.600284i
$862$	8.53276	+	8.68912i	0.290627	+	0.295953i
$863$	10.1797			0.346520			0.173260	−	0.984876i	$-0.444570\pi$
$863$	10.1797			0.346520			0.173260	+	0.984876i	$0.444570\pi$
$864$	16.8310	+	24.0981i	0.572602	+	0.819834i
$865$	20.9860			0.713545
$866$	−6.38100	−	6.49793i	−0.216835	−	0.220808i
$867$	0.777892	+	1.49362i	0.0264186	+	0.0507261i
$868$	56.0320	+	1.01752i	1.90185	+	0.0345369i
$869$	1.21723	−	0.326156i	0.0412918	−	0.0110641i
$870$	−6.17218	+	18.9856i	−0.209256	+	0.643671i
$871$	−7.53020	−	13.0427i	−0.255151	−	0.441935i
$872$	25.2423	+	0.687680i	0.854811	+	0.0232878i
$873$	45.6601	+	3.97721i	1.54536	+	0.134608i
$874$	7.45221	+	4.39322i	0.252075	+	0.148603i
$875$	−62.1414	−	16.6507i	−2.10076	−	0.562897i
$876$	−4.98192	−	10.0050i	−0.168323	−	0.338039i
$877$	25.7779	−	6.90717i	0.870458	−	0.233239i	0.204172	−	0.978935i	$-0.434550\pi$
$877$	25.7779	−	6.90717i	0.870458	−	0.233239i	0.666286	+	0.745696i	$0.267883\pi$
$878$	10.9368	−	39.3831i	0.369101	−	1.32912i
$879$	−35.9960	−	39.2677i	−1.21411	−	1.32447i
$880$	−3.38261	−	0.122894i	−0.114028	−	0.00414276i
$881$			30.7798i			1.03700i	0.855078	+	0.518499i	$0.173509\pi$
$881$			30.7798i			1.03700i	−0.855078	+	0.518499i	$0.826491\pi$
$882$	−6.42017	+	17.1730i	−0.216178	+	0.578246i
$883$	−19.8089	+	19.8089i	−0.666622	+	0.666622i	−0.956933	−	0.290310i	$-0.906241\pi$
$883$	−19.8089	+	19.8089i	−0.666622	+	0.666622i	0.290310	+	0.956933i	$0.406241\pi$
$884$	−23.1302	+	5.74970i	−0.777952	+	0.193383i
$885$	−19.8953	+	31.2425i	−0.668774	+	1.05021i
$886$	22.4698	+	39.7479i	0.754888	+	1.33536i
$887$	21.0940	+	12.1786i	0.708266	+	0.408918i	0.810419	−	0.585851i	$-0.199240\pi$
$887$	21.0940	+	12.1786i	0.708266	+	0.408918i	−0.102153	+	0.994769i	$0.532573\pi$
$888$	16.6060	−	8.08151i	0.557262	−	0.271198i
$889$	39.0550	−	22.5484i	1.30986	−	0.756249i
$890$	−13.9484	−	8.22287i	−0.467552	−	0.275631i
$891$	−0.173190	−	1.96235i	−0.00580210	−	0.0657413i
$892$	−3.15397	−	5.69938i	−0.105603	−	0.190829i
$893$	7.21410	+	1.93301i	0.241411	+	0.0646858i
$894$	2.87254	−	54.6423i	0.0960721	−	1.82751i
$895$	−1.79985	−	1.03914i	−0.0601624	−	0.0347348i
$896$	36.0704	+	12.1679i	1.20503	+	0.406502i
$897$	4.06006	+	18.2972i	0.135561	+	0.610927i
$898$	−10.8065	+	10.6120i	−0.360618	+	0.354128i
$899$	12.4142	+	12.4142i	0.414037	+	0.414037i
$900$	−59.3454	−	6.25685i	−1.97818	−	0.208562i
$901$	32.1460	−	32.1460i	1.07094	−	1.07094i
$902$	−1.05482	−	0.00957680i	−0.0351218	−	0.000318873i
$903$	−19.1205	−	20.8583i	−0.636289	−	0.694122i
$904$	46.5563	−	11.1252i	1.54844	−	0.370017i
$905$	−13.6407	+	23.6264i	−0.453433	+	0.785369i
$906$	47.8014	−	10.1524i	1.58809	−	0.337292i
$907$	−15.0239	+	56.0698i	−0.498859	+	1.86177i	0.00838605	+	0.999965i	$0.497331\pi$
$907$	−15.0239	+	56.0698i	−0.498859	+	1.86177i	−0.507245	+	0.861802i	$0.669336\pi$
$908$	−17.5759	−	5.05321i	−0.583277	−	0.167697i
$909$	0.259016	+	0.308445i	0.00859103	+	0.0102305i
$910$	−12.9300	−	50.0692i	−0.428624	−	1.65978i
$911$	−11.9347	−	20.6715i	−0.395414	−	0.684877i	0.597740	−	0.801690i	$-0.296066\pi$
$911$	−11.9347	−	20.6715i	−0.395414	−	0.684877i	−0.993154	+	0.116813i	$0.962732\pi$
$912$	−10.3735	−	3.68767i	−0.343500	−	0.122111i
$913$	0.510553	−	0.884303i	0.0168968	−	0.0292662i
$914$	−20.6684	−	5.73970i	−0.683651	−	0.189852i
$915$	53.4884	−	27.8572i	1.76827	−	0.920932i
$916$	−10.2028	+	2.53622i	−0.337111	+	0.0837991i
$917$	−1.55845	−	1.55845i	−0.0514646	−	0.0514646i
$918$	−24.8757	+	18.7537i	−0.821021	+	0.618966i
$919$	−15.7779			−0.520466			−0.260233	−	0.965546i	$-0.583799\pi$
$919$	−15.7779			−0.520466			−0.260233	+	0.965546i	$0.583799\pi$
$920$	37.0123	−	20.0454i	1.22026	−	0.660878i
$921$	−55.6284	−	17.5279i	−1.83302	−	0.577565i
$922$	8.33599	+	14.7459i	0.274531	+	0.485631i
$923$	−5.48292	−	20.4625i	−0.180473	−	0.673533i
$924$	−1.68955	−	1.91167i	−0.0555821	−	0.0628893i
$925$	−9.70397	+	36.2157i	−0.319065	+	1.19077i
$926$	0.830355	+	3.21541i	0.0272872	+	0.105665i
$927$	−10.3825	−	22.2432i	−0.341006	−	0.730562i
$928$	5.48800	+	10.5878i	0.180152	+	0.347563i
$929$	14.3132	−	8.26371i	0.469600	−	0.271123i	−0.246472	−	0.969150i	$-0.579271\pi$
$929$	14.3132	−	8.26371i	0.469600	−	0.271123i	0.716072	+	0.698026i	$0.245938\pi$
$930$	−42.9615	+	66.1315i	−1.40876	+	2.16854i
$931$	−1.77730	−	6.63296i	−0.0582485	−	0.217387i
$932$	0.513853	−	28.2965i	0.0168318	−	0.926881i
$933$	−0.799912	+	18.4014i	−0.0261879	+	0.602436i
$934$	0.438517	−	48.2998i	0.0143487	−	1.58042i
$935$		−	3.58740i		−	0.117320i
$936$	−9.49637	−	21.8806i	−0.310398	−	0.715188i
$937$			5.92940i			0.193705i	0.995299	+	0.0968526i	$0.0308775\pi$
$937$			5.92940i			0.193705i	−0.995299	+	0.0968526i	$0.969122\pi$
$938$	−25.4927	−	0.231450i	−0.832366	−	0.00755710i
$939$	27.7735	+	17.6862i	0.906354	+	0.577169i
$940$	26.1584	−	25.2253i	0.853193	−	0.822758i
$941$	−5.52232	−	20.6096i	−0.180022	−	0.671853i	−0.995641	−	0.0932635i	$-0.970270\pi$
$941$	−5.52232	−	20.6096i	−0.180022	−	0.671853i	0.815619	−	0.578589i	$-0.196397\pi$
$942$	1.91628	−	36.4520i	0.0624358	−	1.18767i
$943$	11.3603	−	6.55886i	0.369941	−	0.213586i
$944$	4.94692	+	21.5660i	0.161008	+	0.701914i
$945$	−41.1775	−	53.6001i	−1.33950	−	1.74361i
$946$	1.45523	−	0.375800i	0.0473135	−	0.0122183i
$947$	−8.57071	+	31.9863i	−0.278511	+	1.03942i	0.674941	+	0.737871i	$0.264169\pi$
$947$	−8.57071	+	31.9863i	−0.278511	+	1.03942i	−0.953452	+	0.301545i	$0.902498\pi$
$948$	11.0161	−	16.6249i	0.357786	−	0.539953i
$949$	2.34741	+	8.76066i	0.0762002	+	0.284383i
$950$	19.4572	−	10.9993i	0.631274	−	0.356864i
$951$	4.61279	+	20.7882i	0.149580	+	0.674105i
$952$	−11.4996	+	38.6720i	−0.372705	+	1.25337i
$953$	0.546564			0.0177049			0.00885247	−	0.999961i	$-0.497182\pi$
$953$	0.546564			0.0177049			0.00885247	+	0.999961i	$0.497182\pi$
$954$	37.0400	+	26.4188i	1.19921	+	0.855339i
$955$	29.5538	+	29.5538i	0.956339	+	0.956339i
$956$	25.7568	+	15.5009i	0.833034	+	0.501336i
$957$	0.0347109	−	0.798502i	0.00112205	−	0.0258119i
$958$	−1.82332	+	6.56570i	−0.0589088	+	0.212128i
$959$	−35.4068	+	61.3264i	−1.14335	+	1.98033i
$960$	−41.4002	+	33.9942i	−1.33618	+	1.09716i
$961$	19.1758	+	33.2135i	0.618576	+	1.07140i
$962$	−14.5104	+	3.74720i	−0.467835	+	0.120815i
$963$	−6.11946	−	34.6280i	−0.197197	−	1.11587i
$964$	−25.1611	+	13.9239i	−0.810384	+	0.448457i
$965$	5.20393	−	19.4213i	0.167521	−	0.625195i
$966$	30.1719	+	9.80885i	0.970766	+	0.315594i
$967$	−7.49046	+	12.9739i	−0.240877	+	0.417211i	−0.960964	−	0.276672i	$-0.910768\pi$
$967$	−7.49046	+	12.9739i	−0.240877	+	0.417211i	0.720087	+	0.693883i	$0.244102\pi$
$968$	−30.1289	+	7.19965i	−0.968380	+	0.231406i
$969$	3.50660	−	11.1289i	0.112648	−	0.357512i
$970$	−0.758322	+	83.5242i	−0.0243482	+	2.68180i
$971$	29.4725	−	29.4725i	0.945816	−	0.945816i	−0.0527896	−	0.998606i	$-0.516811\pi$
$971$	29.4725	−	29.4725i	0.945816	−	0.945816i	0.998606	+	0.0527896i	$0.0168113\pi$
$972$	−22.6203	−	21.4552i	−0.725545	−	0.688175i
$973$	−15.8725	−	15.8725i	−0.508849	−	0.508849i
$974$	−37.1622	−	37.8431i	−1.19075	−	1.21257i
$975$	46.1859	+	14.5527i	1.47913	+	0.466059i
$976$	10.5815	−	34.4368i	0.338704	−	1.10230i
$977$	2.02199	+	1.16740i	0.0646892	+	0.0373483i	0.531996	−	0.846747i	$-0.321442\pi$
$977$	2.02199	+	1.16740i	0.0646892	+	0.0373483i	−0.467307	+	0.884095i	$0.654776\pi$
$978$	−6.85098	−	13.4512i	−0.219070	−	0.430122i
$979$	0.626159	+	0.167779i	0.0200121	+	0.00536224i
$980$	−32.1115	−	9.23231i	−1.02577	−	0.294915i
$981$	−26.3747	+	4.66094i	−0.842080	+	0.148812i
$982$	−1.40015	+	2.37506i	−0.0446805	+	0.0757913i
$983$	21.5089	−	12.4182i	0.686029	−	0.396079i	−0.116094	−	0.993238i	$-0.537037\pi$
$983$	21.5089	−	12.4182i	0.686029	−	0.396079i	0.802123	+	0.597159i	$0.203704\pi$
$984$	−12.6088	+	10.9415i	−0.401955	+	0.348804i
$985$	13.9464	+	8.05197i	0.444370	+	0.256557i
$986$	−11.0029	+	6.22001i	−0.350403	+	0.198085i
$987$	27.3649	+	1.18955i	0.871033	+	0.0378639i
$988$	7.65462	+	4.60670i	0.243526	+	0.146559i
$989$	−13.2158	+	13.2158i	−0.420240	+	0.420240i
$990$	3.54091	−	0.592650i	0.112537	−	0.0188356i
$991$			7.12527i			0.226342i	0.993576	+	0.113171i	$0.0361008\pi$
$991$			7.12527i			0.226342i	−0.993576	+	0.113171i	$0.963899\pi$
$992$	10.1152	+	46.0102i	0.321159	+	1.46082i
$993$	58.4622	−	12.9724i	1.85524	−	0.411668i
$994$	−34.5526	−	9.59539i	−1.09594	−	0.304347i
$995$	9.60763	−	2.57436i	0.304582	−	0.0816126i
$996$	−3.21365	−	15.8373i	−0.101828	−	0.501823i
$997$	−47.5897	−	12.7516i	−1.50718	−	0.403848i	−0.591684	−	0.806170i	$-0.701537\pi$
$997$	−47.5897	−	12.7516i	−1.50718	−	0.403848i	−0.915498	+	0.402322i	$0.868203\pi$
$998$	−8.08908	+	13.7215i	−0.256055	+	0.434346i
$999$	−15.5337	+	11.9335i	−0.491465	+	0.377561i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	144.2.u.a.131.7	yes	88
3.2	odd	2		432.2.v.a.179.16		88
4.3	odd	2		576.2.y.a.239.15		88
9.2	odd	6	inner	144.2.u.a.83.14	yes	88
9.7	even	3		432.2.v.a.35.9		88
12.11	even	2		1728.2.z.a.1583.1		88
16.5	even	4		576.2.y.a.527.3		88
16.11	odd	4	inner	144.2.u.a.59.14	yes	88
36.7	odd	6		1728.2.z.a.1007.1		88
36.11	even	6		576.2.y.a.47.3		88
48.5	odd	4		1728.2.z.a.719.1		88
48.11	even	4		432.2.v.a.395.9		88
144.11	even	12	inner	144.2.u.a.11.7	✓	88
144.43	odd	12		432.2.v.a.251.16		88
144.101	odd	12		576.2.y.a.335.15		88
144.133	even	12		1728.2.z.a.143.1		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.2.u.a.11.7	✓	88	144.11	even	12	inner
144.2.u.a.59.14	yes	88	16.11	odd	4	inner
144.2.u.a.83.14	yes	88	9.2	odd	6	inner
144.2.u.a.131.7	yes	88	1.1	even	1	trivial
432.2.v.a.35.9		88	9.7	even	3
432.2.v.a.179.16		88	3.2	odd	2
432.2.v.a.251.16		88	144.43	odd	12
432.2.v.a.395.9		88	48.11	even	4
576.2.y.a.47.3		88	36.11	even	6
576.2.y.a.239.15		88	4.3	odd	2
576.2.y.a.335.15		88	144.101	odd	12
576.2.y.a.527.3		88	16.5	even	4
1728.2.z.a.143.1		88	144.133	even	12
1728.2.z.a.719.1		88	48.5	odd	4
1728.2.z.a.1007.1		88	36.7	odd	6
1728.2.z.a.1583.1		88	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 144 = 2^{4} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	144.u (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.990880 - 1.00904i) q^{2} +(-0.800065 - 1.53620i) q^{3} +(-0.0363133 + 1.99967i) q^{4} +(3.73424 - 1.00059i) q^{5} +(-0.757311 + 2.32948i) q^{6} +(-1.68236 - 2.91393i) q^{7} +(2.05372 - 1.94479i) q^{8} +(-1.71979 + 2.45811i) q^{9} +(-4.70981 - 2.77653i) q^{10} +(0.211428 + 0.0566521i) q^{11} +(3.10094 - 1.54408i) q^{12} +(-2.71526 + 0.727551i) q^{13} +(-1.27325 + 4.58492i) q^{14} +(-4.52473 - 4.93599i) q^{15} +(-3.99736 - 0.145229i) q^{16} -4.23937i q^{17} +(4.18444 - 0.700358i) q^{18} +(-1.12365 + 1.12365i) q^{19} +(1.86524 + 7.50358i) q^{20} +(-3.13037 + 4.91577i) q^{21} +(-0.152336 - 0.269474i) q^{22} +(3.33369 + 1.92471i) q^{23} +(-4.63069 - 1.59896i) q^{24} +(8.61325 - 4.97286i) q^{25} +(3.42462 + 2.01888i) q^{26} +(5.15209 + 0.675290i) q^{27} +(5.88800 - 3.25835i) q^{28} +(2.03634 + 0.545635i) q^{29} +(-0.497132 + 9.45659i) q^{30} +(7.21206 + 4.16388i) q^{31} +(3.81437 + 4.17739i) q^{32} +(-0.0821277 - 0.370121i) q^{33} +(-4.27769 + 4.20071i) q^{34} +(-9.19798 - 9.19798i) q^{35} +(-4.85296 - 3.52828i) q^{36} +(-2.66564 + 2.66564i) q^{37} +(2.24720 + 0.0204025i) q^{38} +(3.29004 + 3.58908i) q^{39} +(5.72317 - 9.31725i) q^{40} +(1.70386 - 2.95117i) q^{41} +(8.06202 - 1.71227i) q^{42} +(-1.25664 + 4.68985i) q^{43} +(-0.120963 + 0.420730i) q^{44} +(-3.96257 + 10.9000i) q^{45} +(-1.36119 - 5.27098i) q^{46} +(-2.34998 - 4.07028i) q^{47} +(2.97505 + 6.25692i) q^{48} +(-2.16067 + 3.74239i) q^{49} +(-13.5525 - 3.76358i) q^{50} +(-6.51251 + 3.39177i) q^{51} +(-1.35626 - 5.45604i) q^{52} +(7.58271 + 7.58271i) q^{53} +(-4.42371 - 5.86778i) q^{54} +0.846209 q^{55} +(-9.12210 - 2.71258i) q^{56} +(2.62513 + 0.827151i) q^{57} +(-1.46720 - 2.59540i) q^{58} +(-1.43167 - 5.34305i) q^{59} +(10.0347 - 8.86873i) q^{60} +(-2.33105 + 8.69958i) q^{61} +(-2.94477 - 11.4031i) q^{62} +(10.0561 + 0.875933i) q^{63} +(0.435568 - 7.98813i) q^{64} +(-9.41144 + 5.43370i) q^{65} +(-0.292087 + 0.449615i) q^{66} +(1.38665 + 5.17504i) q^{67} +(8.47735 + 0.153945i) q^{68} +(0.289558 - 6.66110i) q^{69} +(-0.167011 + 18.3952i) q^{70} +7.53614i q^{71} +(1.24854 + 8.39292i) q^{72} -3.22646i q^{73} +(5.33107 + 0.0484011i) q^{74} +(-14.5304 - 9.25302i) q^{75} +(-2.20612 - 2.28773i) q^{76} +(-0.190618 - 0.711397i) q^{77} +(0.361477 - 6.87612i) q^{78} +(4.98587 - 2.87859i) q^{79} +(-15.0724 + 3.45739i) q^{80} +(-3.08462 - 8.45489i) q^{81} +(-4.66616 + 1.20500i) q^{82} +(1.20739 - 4.50604i) q^{83} +(-9.71624 - 6.43822i) q^{84} +(-4.24186 - 15.8308i) q^{85} +(5.97741 - 3.37908i) q^{86} +(-0.790999 - 3.56475i) q^{87} +(0.544392 - 0.294836i) q^{88} +2.96157 q^{89} +(14.9249 - 6.80220i) q^{90} +(6.68807 + 6.68807i) q^{91} +(-3.96984 + 6.59639i) q^{92} +(0.626426 - 14.4105i) q^{93} +(-1.77852 + 6.40437i) q^{94} +(-3.07166 + 5.32027i) q^{95} +(3.36555 - 9.20180i) q^{96} +(-7.63883 - 13.2308i) q^{97} +(5.91718 - 1.52806i) q^{98} +(-0.502870 + 0.422285i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{10} - 6 q^{11} - 16 q^{12} - 2 q^{13} - 6 q^{14} - 2 q^{16} - 10 q^{18} - 8 q^{19} - 48 q^{20} + 2 q^{21} - 2 q^{22} - 12 q^{23} - 16 q^{27}+ \cdots + 46 q^{99}+O(q^{100}) \) 88 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 + 2 * q^6 - 4 * q^7 - 8 * q^10 - 6 * q^11 - 16 * q^12 - 2 * q^13 - 6 * q^14 - 2 * q^16 - 10 * q^18 - 8 * q^19 - 48 * q^20 + 2 * q^21 - 2 * q^22 - 12 * q^23 - 16 * q^27 + 8 * q^28 - 6 * q^29 - 34 * q^30 - 6 * q^32 - 8 * q^33 + 2 * q^34 - 26 * q^36 - 8 * q^37 - 6 * q^38 - 32 * q^39 - 2 * q^40 + 48 * q^42 - 2 * q^43 + 6 * q^45 - 40 * q^46 + 42 * q^48 - 24 * q^49 + 72 * q^50 - 12 * q^51 - 2 * q^52 - 38 * q^54 - 16 * q^55 + 36 * q^56 + 16 * q^58 - 42 * q^59 + 70 * q^60 - 2 * q^61 - 44 * q^64 - 12 * q^65 + 104 * q^66 - 2 * q^67 + 96 * q^68 - 10 * q^69 - 16 * q^70 - 10 * q^72 + 78 * q^74 - 56 * q^75 - 14 * q^76 - 6 * q^77 + 12 * q^78 - 8 * q^81 - 36 * q^82 + 54 * q^83 + 158 * q^84 + 8 * q^85 + 54 * q^86 + 48 * q^87 + 22 * q^88 + 64 * q^90 + 20 * q^91 + 108 * q^92 - 34 * q^93 + 6 * q^94 - 58 * q^96 - 4 * q^97 + 46 * q^99

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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