LMFDB - Embedded newform 197.2.d.a.36.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,2,Mod(36,197)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(197, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([12]))

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

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

chi := DirichletCharacter("197.36");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$197$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	197.d (of order $7$ , degree $6$ , minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$1.57305291982$
Analytic rank:	$0$
Dimension:	$90$
Relative dimension:	$15$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			36.9
Character	$\chi$	$=$	197.36
Dual form			197.2.d.a.104.9

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0351696 + 0.0169368i) q^{2} +(1.43946 + 0.693208i) q^{3} +(-1.24603 + 1.56247i) q^{4} +(1.82344 + 2.28652i) q^{5} -0.0623661 q^{6} +(-1.43652 - 0.691792i) q^{7} +(0.0347315 - 0.152169i) q^{8} +(-0.278956 - 0.349800i) q^{9} +(-0.102856 - 0.0495329i) q^{10} +(-1.92490 + 0.926981i) q^{11} +(-2.87673 + 1.38536i) q^{12} +(-0.117005 - 0.512633i) q^{13} +0.0622387 q^{14} +(1.03974 + 4.55538i) q^{15} +(-0.888050 - 3.89080i) q^{16} +(1.51833 + 1.90393i) q^{17} +(0.0157353 + 0.00757771i) q^{18} +8.16978 q^{19} -5.84468 q^{20} +(-1.58826 - 1.99162i) q^{21} +(0.0519978 - 0.0652032i) q^{22} +(8.05835 - 3.88070i) q^{23} +(0.155479 - 0.194965i) q^{24} +(-0.790640 + 3.46402i) q^{25} +(0.0127974 + 0.0160474i) q^{26} +(-1.22562 - 5.36977i) q^{27} +(2.87085 - 1.38253i) q^{28} +(-2.08867 + 1.00585i) q^{29} +(-0.113721 - 0.142601i) q^{30} +(-0.391539 + 0.188555i) q^{31} +(0.291761 + 0.365857i) q^{32} -3.41341 q^{33} +(-0.0856457 - 0.0412448i) q^{34} +(-1.03761 - 4.54607i) q^{35} +0.894140 q^{36} +(-0.975478 + 4.27385i) q^{37} +(-0.287328 + 0.138370i) q^{38} +(0.186937 - 0.819025i) q^{39} +(0.411267 - 0.198056i) q^{40} +(-2.32397 - 2.91417i) q^{41} +(0.0895902 + 0.0431444i) q^{42} +(-9.07241 + 4.36904i) q^{43} +(0.950096 - 4.16264i) q^{44} +(0.291165 - 1.27568i) q^{45} +(-0.217683 + 0.272965i) q^{46} +(0.749568 - 3.28407i) q^{47} +(1.41882 - 6.21626i) q^{48} +(-2.77941 - 3.48527i) q^{49} +(-0.0308629 - 0.135219i) q^{50} +(0.865763 + 3.79316i) q^{51} +(0.946767 + 0.455939i) q^{52} +(-0.322283 + 0.404130i) q^{53} +(0.134051 + 0.168095i) q^{54} +(-5.62949 - 2.71102i) q^{55} +(-0.155162 + 0.194566i) q^{56} +(11.7601 + 5.66336i) q^{57} +(0.0564217 - 0.0707506i) q^{58} +(10.8632 - 5.23143i) q^{59} +(-8.41320 - 4.05158i) q^{60} +(-9.64419 + 4.64440i) q^{61} +(0.0105768 - 0.0132628i) q^{62} +(0.158737 + 0.695474i) q^{63} +(7.17482 + 3.45521i) q^{64} +(0.958795 - 1.20229i) q^{65} +(0.120048 - 0.0578122i) q^{66} +(-0.130979 + 0.573854i) q^{67} -4.86673 q^{68} +14.2898 q^{69} +(0.113488 + 0.142310i) q^{70} +(-9.10801 - 11.4211i) q^{71} +(-0.0629171 + 0.0302993i) q^{72} +(1.36045 - 5.96054i) q^{73} +(-0.0380781 - 0.166831i) q^{74} +(-3.53939 + 4.43825i) q^{75} +(-10.1798 + 12.7651i) q^{76} +3.40643 q^{77} +(0.00729716 + 0.0319709i) q^{78} +(-3.95641 + 4.96119i) q^{79} +(7.27709 - 9.12518i) q^{80} +(1.65947 - 7.27061i) q^{81} +(0.131090 + 0.0631296i) q^{82} +4.83898 q^{83} +5.09086 q^{84} +(-1.58479 + 6.94340i) q^{85} +(0.245076 - 0.307315i) q^{86} -3.70382 q^{87} +(0.0742029 + 0.325104i) q^{88} +(-7.86216 - 3.78622i) q^{89} +(0.0113657 + 0.0497965i) q^{90} +(-0.186555 + 0.817351i) q^{91} +(-3.97746 + 17.4264i) q^{92} -0.694314 q^{93} +(0.0292597 + 0.128195i) q^{94} +(14.8971 + 18.6804i) q^{95} +(0.166364 + 0.728888i) q^{96} +(-2.40101 - 3.01077i) q^{97} +(0.156780 + 0.0755014i) q^{98} +(0.861219 + 0.414741i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$90 q - 2 q^{2} - 5 q^{3} - 26 q^{4} + q^{5} - 10 q^{6} - 11 q^{7} - 16 q^{9} + 9 q^{10} - 7 q^{11} + 15 q^{12} + 9 q^{13} - 40 q^{14} - 16 q^{15} - 10 q^{16} + 13 q^{17} + 15 q^{18} - 20 q^{19} + 26 q^{20}+ \cdots + 25 q^{99}+O(q^{100})$ 90 * q - 2 * q^2 - 5 * q^3 - 26 * q^4 + q^5 - 10 * q^6 - 11 * q^7 - 16 * q^9 + 9 * q^10 - 7 * q^11 + 15 * q^12 + 9 * q^13 - 40 * q^14 - 16 * q^15 - 10 * q^16 + 13 * q^17 + 15 * q^18 - 20 * q^19 + 26 * q^20 + 13 * q^21 - 17 * q^22 + 25 * q^23 - 17 * q^24 + 16 * q^25 - 2 * q^26 - 41 * q^27 - 50 * q^28 - 33 * q^29 - 72 * q^30 - 15 * q^31 + 46 * q^32 - 32 * q^33 + 31 * q^34 + 45 * q^35 - 64 * q^36 - 27 * q^37 + 43 * q^38 + 14 * q^39 + 31 * q^40 + 35 * q^41 + 14 * q^42 + 16 * q^43 + 49 * q^44 - 8 * q^45 + 17 * q^46 - 4 * q^47 + 41 * q^48 - 48 * q^49 - 52 * q^50 + 51 * q^51 - 2 * q^52 + 41 * q^53 + 14 * q^54 + 53 * q^55 + 52 * q^56 - 104 * q^57 - 79 * q^58 - 17 * q^59 + 11 * q^60 + 21 * q^61 + 23 * q^62 + 48 * q^63 + 22 * q^64 + 5 * q^65 - 94 * q^66 - 5 * q^67 - 200 * q^68 + 54 * q^69 + 64 * q^70 - 94 * q^71 + 75 * q^72 + 31 * q^73 + 18 * q^74 + 36 * q^75 - 80 * q^76 + 22 * q^77 - 45 * q^78 - 25 * q^79 + 131 * q^80 + 6 * q^81 + 51 * q^82 - 130 * q^83 + 108 * q^84 - 129 * q^85 + 32 * q^86 + 98 * q^87 + 54 * q^88 + 17 * q^89 - 42 * q^90 - 119 * q^91 + 31 * q^92 + 60 * q^93 - 111 * q^94 - 77 * q^95 - 98 * q^96 + 49 * q^97 + 45 * q^98 + 25 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/197\mathbb{Z}\right)^\times$ .

$n$	$2$
$\chi(n)$	$e\left(\frac{6}{7}\right)$

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

)

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

$2$	−0.0351696	+	0.0169368i	−0.0248687	+	0.0119761i	−0.446277	−	0.894895i	$-0.647250\pi$
$2$	−0.0351696	+	0.0169368i	−0.0248687	+	0.0119761i	0.421408	+	0.906871i	$0.361536\pi$
$3$	1.43946	+	0.693208i	0.831074	+	0.400224i	0.800518	−	0.599309i	$-0.204558\pi$
$3$	1.43946	+	0.693208i	0.831074	+	0.400224i	0.0305561	+	0.999533i	$0.490272\pi$
$4$	−1.24603	+	1.56247i	−0.623015	+	0.781236i
$5$	1.82344	+	2.28652i	0.815467	+	1.02256i	0.999216	+	0.0395898i	$0.0126051\pi$
$5$	1.82344	+	2.28652i	0.815467	+	1.02256i	−0.183749	+	0.982973i	$0.558823\pi$
$6$	−0.0623661			−0.0254609
$7$	−1.43652	−	0.691792i	−0.542954	−	0.261473i	0.142242	−	0.989832i	$-0.454569\pi$
$7$	−1.43652	−	0.691792i	−0.542954	−	0.261473i	−0.685195	+	0.728359i	$0.740283\pi$
$8$	0.0347315	−	0.152169i	0.0122794	−	0.0537997i
$9$	−0.278956	−	0.349800i	−0.0929853	−	0.116600i
$10$	−0.102856	−	0.0495329i	−0.0325259	−	0.0156637i
$11$	−1.92490	+	0.926981i	−0.580378	+	0.279495i	−0.700951	−	0.713209i	$-0.747241\pi$
$11$	−1.92490	+	0.926981i	−0.580378	+	0.279495i	0.120573	+	0.992704i	$0.461527\pi$
$12$	−2.87673	+	1.38536i	−0.830441	+	0.399919i
$13$	−0.117005	−	0.512633i	−0.0324514	−	0.142179i	0.956107	−	0.293018i	$-0.0946596\pi$
$13$	−0.117005	−	0.512633i	−0.0324514	−	0.142179i	−0.988558	+	0.150839i	$0.951802\pi$
$14$	0.0622387			0.0166340
$15$	1.03974	+	4.55538i	0.268459	+	1.17619i
$16$	−0.888050	−	3.89080i	−0.222012	−	0.972700i
$17$	1.51833	+	1.90393i	0.368250	+	0.461771i	0.931087	−	0.364797i	$-0.118862\pi$
$17$	1.51833	+	1.90393i	0.368250	+	0.461771i	−0.562837	+	0.826568i	$0.690290\pi$
$18$	0.0157353	+	0.00757771i	0.00370884	+	0.00178608i
$19$	8.16978			1.87428			0.937139	−	0.348958i	$-0.113464\pi$
$19$	8.16978			1.87428			0.937139	+	0.348958i	$0.113464\pi$
$20$	−5.84468			−1.30691
$21$	−1.58826	−	1.99162i	−0.346587	−	0.434606i
$22$	0.0519978	−	0.0652032i	0.0110860	−	0.0139014i
$23$	8.05835	−	3.88070i	1.68028	−	0.809181i	0.683419	−	0.730026i	$-0.260492\pi$
$23$	8.05835	−	3.88070i	1.68028	−	0.809181i	0.996862	−	0.0791545i	$-0.0252221\pi$
$24$	0.155479	−	0.194965i	0.0317371	−	0.0397970i
$25$	−0.790640	+	3.46402i	−0.158128	+	0.692804i
$26$	0.0127974	+	0.0160474i	0.00250978	+	0.00314716i
$27$	−1.22562	−	5.36977i	−0.235870	−	1.03341i
$28$	2.87085	−	1.38253i	0.542540	−	0.261274i
$29$	−2.08867	+	1.00585i	−0.387855	+	0.186781i	−0.617641	−	0.786460i	$-0.711912\pi$
$29$	−2.08867	+	1.00585i	−0.387855	+	0.186781i	0.229786	+	0.973241i	$0.426197\pi$
$30$	−0.113721	−	0.142601i	−0.0207625	−	0.0260353i
$31$	−0.391539	+	0.188555i	−0.0703225	+	0.0338655i	−0.468714	−	0.883350i	$-0.655283\pi$
$31$	−0.391539	+	0.188555i	−0.0703225	+	0.0338655i	0.398392	+	0.917215i	$0.369568\pi$
$32$	0.291761	+	0.365857i	0.0515766	+	0.0646750i
$33$	−3.41341			−0.594198
$34$	−0.0856457	−	0.0412448i	−0.0146881	−	0.00707343i
$35$	−1.03761	−	4.54607i	−0.175388	−	0.768427i
$36$	0.894140			0.149023
$37$	−0.975478	+	4.27385i	−0.160368	+	0.702616i	0.829249	+	0.558880i	$0.188769\pi$
$37$	−0.975478	+	4.27385i	−0.160368	+	0.702616i	−0.989616	+	0.143736i	$0.954088\pi$
$38$	−0.287328	+	0.138370i	−0.0466108	+	0.0224466i
$39$	0.186937	−	0.819025i	0.0299339	−	0.131149i
$40$	0.411267	−	0.198056i	0.0650271	−	0.0313154i
$41$	−2.32397	−	2.91417i	−0.362943	−	0.455117i	0.566511	−	0.824054i	$-0.308293\pi$
$41$	−2.32397	−	2.91417i	−0.362943	−	0.455117i	−0.929454	+	0.368938i	$0.879722\pi$
$42$	0.0895902	+	0.0431444i	0.0138241	+	0.00665732i
$43$	−9.07241	+	4.36904i	−1.38353	+	0.666273i	−0.969749	−	0.244104i	$-0.921506\pi$
$43$	−9.07241	+	4.36904i	−1.38353	+	0.666273i	−0.413781	+	0.910377i	$0.635792\pi$
$44$	0.950096	−	4.16264i	0.143232	−	0.627542i
$45$	0.291165	−	1.27568i	0.0434043	−	0.190167i
$46$	−0.217683	+	0.272965i	−0.0320955	+	0.0402465i
$47$	0.749568	−	3.28407i	0.109336	−	0.479031i	−0.890381	−	0.455217i	$-0.849562\pi$
$47$	0.749568	−	3.28407i	0.109336	−	0.479031i	0.999716	−	0.0238144i	$-0.00758109\pi$
$48$	1.41882	−	6.21626i	0.204789	−	0.897240i
$49$	−2.77941	−	3.48527i	−0.397059	−	0.497896i
$50$	−0.0308629	−	0.135219i	−0.00436468	−	0.0191229i
$51$	0.865763	+	3.79316i	0.121231	+	0.531148i
$52$	0.946767	+	0.455939i	0.131293	+	0.0632273i
$53$	−0.322283	+	0.404130i	−0.0442690	+	0.0555115i	−0.803473	−	0.595341i	$-0.797017\pi$
$53$	−0.322283	+	0.404130i	−0.0442690	+	0.0555115i	0.759204	+	0.650853i	$0.225588\pi$
$54$	0.134051	+	0.168095i	0.0182421	+	0.0228748i
$55$	−5.62949	−	2.71102i	−0.759081	−	0.365554i
$56$	−0.155162	+	0.194566i	−0.0207343	+	0.0260000i
$57$	11.7601	+	5.66336i	1.55766	+	0.750131i
$58$	0.0564217	−	0.0707506i	0.00740854	−	0.00929001i
$59$	10.8632	−	5.23143i	1.41426	−	0.681074i	0.438265	−	0.898846i	$-0.355593\pi$
$59$	10.8632	−	5.23143i	1.41426	−	0.681074i	0.976000	+	0.217772i	$0.0698789\pi$
$60$	−8.41320	−	4.05158i	−1.08614	−	0.523057i
$61$	−9.64419	+	4.64440i	−1.23481	+	0.594654i	−0.933399	−	0.358839i	$-0.883173\pi$
$61$	−9.64419	+	4.64440i	−1.23481	+	0.594654i	−0.301413	+	0.953494i	$0.597458\pi$
$62$	0.0105768	−	0.0132628i	0.00134325	−	0.00168438i
$63$	0.158737	+	0.695474i	0.0199990	+	0.0876215i
$64$	7.17482	+	3.45521i	0.896853	+	0.431902i
$65$	0.958795	−	1.20229i	0.118924	−	0.149126i
$66$	0.120048	−	0.0578122i	0.0147769	−	0.00711619i
$67$	−0.130979	+	0.573854i	−0.0160016	+	0.0701075i	−0.982298	−	0.187323i	$-0.940019\pi$
$67$	−0.130979	+	0.573854i	−0.0160016	+	0.0701075i	0.966297	+	0.257431i	$0.0828759\pi$
$68$	−4.86673			−0.590177
$69$	14.2898			1.72029
$70$	0.113488	+	0.142310i	0.0135645	+	0.0170093i
$71$	−9.10801	−	11.4211i	−1.08092	−	1.35543i	−0.930283	−	0.366844i	$-0.880438\pi$
$71$	−9.10801	−	11.4211i	−1.08092	−	1.35543i	−0.150639	−	0.988589i	$-0.548133\pi$
$72$	−0.0629171	+	0.0302993i	−0.00741485	+	0.00357080i
$73$	1.36045	−	5.96054i	0.159229	−	0.697628i	−0.830777	−	0.556605i	$-0.812104\pi$
$73$	1.36045	−	5.96054i	0.159229	−	0.697628i	0.990006	−	0.141023i	$-0.0450392\pi$
$74$	−0.0380781	−	0.166831i	−0.00442649	−	0.0193937i
$75$	−3.53939	+	4.43825i	−0.408693	+	0.512485i
$76$	−10.1798	+	12.7651i	−1.16770	+	1.46425i
$77$	3.40643			0.388199
$78$	0.00729716	+	0.0319709i	0.000826240	+	0.00362000i
$79$	−3.95641	+	4.96119i	−0.445131	+	0.558177i	−0.952888	−	0.303324i	$-0.901904\pi$
$79$	−3.95641	+	4.96119i	−0.445131	+	0.558177i	0.507756	+	0.861501i	$0.330475\pi$
$80$	7.27709	−	9.12518i	0.813603	−	1.02023i
$81$	1.65947	−	7.27061i	0.184386	−	0.807846i
$82$	0.131090	+	0.0631296i	0.0144765	+	0.00697150i
$83$	4.83898			0.531147			0.265573	−	0.964091i	$-0.414439\pi$
$83$	4.83898			0.531147			0.265573	+	0.964091i	$0.414439\pi$
$84$	5.09086			0.555459
$85$	−1.58479	+	6.94340i	−0.171894	+	0.753118i
$86$	0.245076	−	0.307315i	0.0264272	−	0.0331387i
$87$	−3.70382			−0.397091
$88$	0.0742029	+	0.325104i	0.00791006	+	0.0346562i
$89$	−7.86216	−	3.78622i	−0.833387	−	0.401338i	−0.0320029	−	0.999488i	$-0.510189\pi$
$89$	−7.86216	−	3.78622i	−0.833387	−	0.401338i	−0.801384	+	0.598150i	$0.795903\pi$
$90$	0.0113657	+	0.0497965i	0.00119805	+	0.00524901i
$91$	−0.186555	+	0.817351i	−0.0195563	+	0.0856817i
$92$	−3.97746	+	17.4264i	−0.414679	+	1.81683i
$93$	−0.694314			−0.0719970
$94$	0.0292597	+	0.128195i	0.00301790	+	0.0132223i
$95$	14.8971	+	18.6804i	1.52841	+	1.91657i
$96$	0.166364	+	0.728888i	0.0169795	+	0.0743919i
$97$	−2.40101	−	3.01077i	−0.243786	−	0.305698i	0.644852	−	0.764307i	$-0.276919\pi$
$97$	−2.40101	−	3.01077i	−0.243786	−	0.305698i	−0.888638	+	0.458610i	$0.848348\pi$
$98$	0.156780	+	0.0755014i	0.0158372	+	0.00762680i
$99$	0.861219	+	0.414741i	0.0865558	+	0.0416831i
$100$	−4.42727	−	5.55163i	−0.442727	−	0.555163i
$101$	−0.731833	−	3.20637i	−0.0728201	−	0.319046i	0.925378	−	0.379045i	$-0.123747\pi$
$101$	−0.731833	−	3.20637i	−0.0728201	−	0.319046i	−0.998198	+	0.0599992i	$0.980890\pi$
$102$	−0.0946925	−	0.118741i	−0.00937596	−	0.0117571i
$103$	2.76133	+	12.0982i	0.272082	+	1.19207i	0.907551	+	0.419942i	$0.137950\pi$
$103$	2.76133	+	12.0982i	0.272082	+	1.19207i	−0.635469	+	0.772126i	$0.719193\pi$
$104$	−0.0820705			−0.00804767
$105$	1.65777	−	7.26318i	0.161782	−	0.708814i
$106$	0.00448990	−	0.0196716i	0.000436098	−	0.00191067i
$107$	2.00749	+	8.79538i	0.194071	+	0.850281i	0.974384	+	0.224892i	$0.0722028\pi$
$107$	2.00749	+	8.79538i	0.194071	+	0.850281i	−0.780313	+	0.625390i	$0.784940\pi$
$108$	9.91727	+	4.77591i	0.954290	+	0.459562i
$109$	4.17177	+	18.2777i	0.399583	+	1.75069i	0.629042	+	0.777371i	$0.283447\pi$
$109$	4.17177	+	18.2777i	0.399583	+	1.75069i	−0.229459	+	0.973318i	$0.573696\pi$
$110$	0.243903			0.0232553
$111$	−4.36683	+	5.47583i	−0.414481	+	0.519743i
$112$	−1.41592	+	6.20356i	−0.133792	+	0.586181i
$113$	−7.20746			−0.678021			−0.339010	−	0.940783i	$-0.610092\pi$
$113$	−7.20746			−0.678021			−0.339010	+	0.940783i	$0.610092\pi$
$114$	−0.509518			−0.0477207
$115$	23.5672	+	11.3494i	2.19765	+	1.05833i
$116$	1.03093	−	4.51680i	0.0957194	−	0.419374i
$117$	−0.146680	+	0.183931i	−0.0135605	+	0.0170044i
$118$	−0.293450	+	0.367975i	−0.0270143	+	0.0338748i
$119$	−0.863994	−	3.78541i	−0.0792022	−	0.347008i
$120$	0.729298			0.0665755
$121$	−4.01245	+	5.03146i	−0.364769	+	0.457405i
$122$	0.260522	−	0.326684i	0.0235865	−	0.0295766i
$123$	−1.32514	−	5.80583i	−0.119484	−	0.523494i
$124$	0.193257	−	0.846714i	0.0173550	−	0.0760372i
$125$	3.81249	−	1.83600i	0.340999	−	0.164217i
$126$	−0.0173618	−	0.0217711i	−0.00154672	−	0.00193952i
$127$	−8.89045	−	11.1483i	−0.788900	−	0.989249i	−0.999931	−	0.0117700i	$-0.996253\pi$
$127$	−8.89045	−	11.1483i	−0.788900	−	0.989249i	0.211031	−	0.977479i	$-0.432318\pi$
$128$	−1.24675			−0.110198
$129$	−16.0881			−1.41647
$130$	−0.0133575	+	0.0585230i	−0.00117153	+	0.00513281i
$131$	6.59939	−	3.17810i	0.576591	−	0.277672i	−0.122776	−	0.992434i	$-0.539180\pi$
$131$	6.59939	−	3.17810i	0.576591	−	0.277672i	0.699367	+	0.714763i	$0.253465\pi$
$132$	4.25321	−	5.33335i	0.370194	−	0.464209i
$133$	−11.7361	−	5.65179i	−1.01765	−	0.490072i
$134$	−0.00511279	−	0.0224006i	−0.000441678	−	0.00193512i
$135$	10.0433	−	12.5939i	0.864386	−	1.08391i
$136$	0.342452	−	0.164916i	0.0293651	−	0.0141415i
$137$	−6.48173	−	3.12144i	−0.553772	−	0.266682i	0.136001	−	0.990709i	$-0.456575\pi$
$137$	−6.48173	−	3.12144i	−0.553772	−	0.266682i	−0.689772	+	0.724026i	$0.742289\pi$
$138$	−0.502568	+	0.242024i	−0.0427814	+	0.0206024i
$139$	4.62564	−	5.80038i	0.392342	−	0.491981i	−0.545954	−	0.837815i	$-0.683833\pi$
$139$	4.62564	−	5.80038i	0.392342	−	0.491981i	0.938296	+	0.345834i	$0.112404\pi$
$140$	8.39601	+	4.04330i	0.709592	+	0.341721i
$141$	3.35552	−	4.20769i	0.282586	−	0.354352i
$142$	0.513762	+	0.247415i	0.0431139	+	0.0207626i
$143$	0.700424	+	0.878304i	0.0585724	+	0.0734475i
$144$	−1.11327	+	1.39600i	−0.0927728	+	0.116333i
$145$	−6.10845	−	2.94167i	−0.507279	−	0.244293i
$146$	0.0531058	+	0.232672i	0.00439507	+	0.0192560i
$147$	−1.58484	−	6.94363i	−0.130715	−	0.572701i
$148$	−5.46229	−	6.84950i	−0.448997	−	0.563025i
$149$	−1.17823	+	5.16216i	−0.0965244	+	0.422901i	−0.999983	−	0.00577373i	$-0.998162\pi$
$149$	−1.17823	+	5.16216i	−0.0965244	+	0.422901i	0.903459	+	0.428675i	$0.141019\pi$
$150$	0.0493092	−	0.216038i	0.00402608	−	0.0176394i
$151$	−3.00679	+	3.77040i	−0.244689	+	0.306830i	−0.888976	−	0.457953i	$-0.848583\pi$
$151$	−3.00679	+	3.77040i	−0.244689	+	0.306830i	0.644287	+	0.764784i	$0.277154\pi$
$152$	0.283749	−	1.24318i	0.0230151	−	0.100836i
$153$	0.242446	−	1.06223i	0.0196006	−	0.0858758i
$154$	−0.119803	+	0.0576941i	−0.00965400	+	0.00464912i
$155$	−1.14508	−	0.551443i	−0.0919753	−	0.0442930i
$156$	1.04677	+	1.31261i	0.0838090	+	0.105093i
$157$	−5.12190	+	2.46658i	−0.408772	+	0.196854i	−0.626958	−	0.779053i	$-0.715700\pi$
$157$	−5.12190	+	2.46658i	−0.408772	+	0.196854i	0.218186	+	0.975907i	$0.429986\pi$
$158$	0.0551190	−	0.241492i	0.00438503	−	0.0192121i
$159$	−0.744061	+	0.358321i	−0.0590079	+	0.0284167i
$160$	−0.304531	+	1.33424i	−0.0240753	+	0.105481i
$161$	−14.2606			−1.12389
$162$	0.0647780	+	0.283811i	0.00508944	+	0.0222983i
$163$	−16.7850	−	8.08322i	−1.31470	−	0.633127i	−0.360631	−	0.932709i	$-0.617439\pi$
$163$	−16.7850	−	8.08322i	−1.31470	−	0.633127i	−0.954071	+	0.299582i	$0.903153\pi$
$164$	7.44904			0.581672
$165$	−6.22414	−	7.80483i	−0.484549	−	0.607605i
$166$	−0.170185	+	0.0819568i	−0.0132089	+	0.00636109i
$167$	−10.4867	−	13.1499i	−0.811487	−	1.01757i	−0.999374	−	0.0353816i	$-0.988735\pi$
$167$	−10.4867	−	13.1499i	−0.811487	−	1.01757i	0.187887	−	0.982191i	$-0.439836\pi$
$168$	−0.358224	+	0.172512i	−0.0276376	+	0.0133096i
$169$	11.4635	−	5.52053i	0.881807	−	0.424656i
$170$	−0.0618627	−	0.271038i	−0.00474465	−	0.0207877i
$171$	−2.27901	−	2.85779i	−0.174280	−	0.218541i
$172$	4.47799	−	19.6193i	0.341443	−	1.49596i
$173$	−1.08625	+	1.36212i	−0.0825862	+	0.103560i	−0.821408	−	0.570341i	$-0.806811\pi$
$173$	−1.08625	+	1.36212i	−0.0825862	+	0.103560i	0.738822	+	0.673901i	$0.235383\pi$
$174$	0.130262	−	0.0627308i	0.00987513	−	0.00475561i
$175$	3.53215	−	4.42918i	0.267006	−	0.334814i
$176$	5.31610	+	6.66618i	0.400716	+	0.502482i
$177$	19.2636			1.44794
$178$	0.340636			0.0255317
$179$	21.6477	+	10.4250i	1.61802	+	0.779199i	0.999976	−	0.00694159i	$-0.00220960\pi$
$179$	21.6477	+	10.4250i	1.61802	+	0.779199i	0.618048	+	0.786141i	$0.287924\pi$
$180$	1.63041	+	2.04447i	0.121524	+	0.152386i
$181$	1.00000	+	4.38130i	0.0743296	+	0.325659i	0.998399	−	0.0565657i	$-0.0180150\pi$
$181$	1.00000	+	4.38130i	0.0743296	+	0.325659i	−0.924069	+	0.382225i	$0.875158\pi$
$182$	−0.00728225	−	0.0319056i	−0.000539796	−	0.00236500i
$183$	−17.1020			−1.26422
$184$	−0.310642	−	1.36101i	−0.0229008	−	0.100335i
$185$	−11.5510	+	5.56265i	−0.849244	+	0.408974i
$186$	0.0244188	−	0.0117595i	0.00179047	−	0.000862245i
$187$	−4.68754	−	2.25740i	−0.342787	−	0.165078i
$188$	4.19729	+	5.26323i	0.306119	+	0.383861i
$189$	−1.95414	+	8.56166i	−0.142143	+	0.622769i
$190$	−0.840312	−	0.404673i	−0.0609626	−	0.0293580i
$191$	12.4782			0.902889			0.451444	−	0.892299i	$-0.350909\pi$
$191$	12.4782			0.902889			0.451444	+	0.892299i	$0.350909\pi$
$192$	7.93270	+	9.94730i	0.572494	+	0.717884i
$193$	−7.46058	+	9.35527i	−0.537024	+	0.673407i	−0.974126	−	0.226005i	$-0.927433\pi$
$193$	−7.46058	+	9.35527i	−0.537024	+	0.673407i	0.437102	+	0.899412i	$0.356005\pi$
$194$	0.135436	+	0.0652223i	0.00972370	+	0.00468269i
$195$	2.21359	−	1.06601i	0.158518	−	0.0763383i
$196$	8.90887			0.636348
$197$	−7.45103	+	11.8946i	−0.530864	+	0.847457i
$197$	−7.45103	+	11.8946i	−0.530864	+	0.847457i
$198$	−0.0373132			−0.00265173
$199$	11.8100	−	5.68739i	0.837187	−	0.403168i	0.0343815	−	0.999409i	$-0.489054\pi$
$199$	11.8100	−	5.68739i	0.837187	−	0.403168i	0.802806	+	0.596241i	$0.203340\pi$
$200$	0.499655	+	0.240621i	0.0353310	+	0.0170145i
$201$	−0.586339	+	0.735246i	−0.0413572	+	0.0518603i
$202$	0.0800439	+	0.100372i	0.00563187	+	0.00706214i
$203$	3.69625			0.259426
$204$	−7.00547	−	3.37366i	−0.490481	−	0.236203i
$205$	2.42568	−	10.6276i	0.169417	−	0.742265i
$206$	−0.302019	−	0.378720i	−0.0210427	−	0.0263867i
$207$	−3.60539	−	1.73626i	−0.250592	−	0.120679i
$208$	−1.89065	+	0.910488i	−0.131093	+	0.0631310i
$209$	−15.7260	+	7.57324i	−1.08779	+	0.523852i
$210$	0.0647118	+	0.283521i	0.00446554	+	0.0195648i
$211$	13.5058			0.929777			0.464888	−	0.885369i	$-0.346094\pi$
$211$	13.5058			0.929777			0.464888	+	0.885369i	$0.346094\pi$
$212$	−0.229868	−	1.00712i	−0.0157874	−	0.0691690i
$213$	−5.19344	−	22.7540i	−0.355849	−	1.55908i
$214$	−0.219568	−	0.275330i	−0.0150094	−	0.0188212i
$215$	−26.5329	−	12.7776i	−1.80953	−	0.871423i
$216$	−0.859679			−0.0584937
$217$	0.692895			0.0470368
$218$	−0.456286	−	0.572165i	−0.0309036	−	0.0387519i
$219$	6.09022	−	7.63689i	0.411539	−	0.516053i
$220$	11.2504	−	5.41791i	0.758502	−	0.365276i
$221$	0.798365	−	1.00112i	0.0537038	−	0.0673425i
$222$	0.0608367	−	0.266543i	0.00408309	−	0.0178892i
$223$	8.46316	+	10.6125i	0.566735	+	0.710663i	0.979787	−	0.200044i	$-0.0641086\pi$
$223$	8.46316	+	10.6125i	0.566735	+	0.710663i	−0.413052	+	0.910708i	$0.635537\pi$
$224$	−0.166024	−	0.727399i	−0.0110929	−	0.0486014i
$225$	1.43227	−	0.689744i	0.0954845	−	0.0459829i
$226$	0.253484	−	0.122071i	0.0168615	−	0.00812006i
$227$	−9.06895	−	11.3721i	−0.601927	−	0.754793i	0.383750	−	0.923437i	$-0.374633\pi$
$227$	−9.06895	−	11.3721i	−0.601927	−	0.754793i	−0.985677	+	0.168644i	$0.946061\pi$
$228$	−23.5023	+	11.3181i	−1.55648	+	0.749559i
$229$	5.78998	+	7.26041i	0.382613	+	0.479781i	0.935425	−	0.353524i	$-0.115017\pi$
$229$	5.78998	+	7.26041i	0.382613	+	0.479781i	−0.552813	+	0.833306i	$0.686445\pi$
$230$	−1.02107			−0.0673275
$231$	4.90343	+	2.36137i	0.322622	+	0.155367i
$232$	0.0805161	+	0.352764i	0.00528614	+	0.0231601i
$233$	5.92784			0.388346			0.194173	−	0.980967i	$-0.437798\pi$
$233$	5.92784			0.388346			0.194173	+	0.980967i	$0.437798\pi$
$234$	0.00204348	−	0.00895305i	0.000133586	−	0.000585279i
$235$	8.87589	−	4.27440i	0.578999	−	0.278831i
$236$	−5.36188	+	23.4919i	−0.349028	+	1.52919i
$237$	−9.13424	+	4.39882i	−0.593333	+	0.285734i
$238$	0.0944990	+	0.118498i	0.00612546	+	0.00768109i
$239$	−2.22353	−	1.07080i	−0.143828	−	0.0692641i	0.360585	−	0.932726i	$-0.382577\pi$
$239$	−2.22353	−	1.07080i	−0.143828	−	0.0692641i	−0.504414	+	0.863462i	$0.668291\pi$
$240$	16.8007	−	8.09081i	1.08448	−	0.522260i
$241$	2.21453	−	9.70249i	0.142650	−	0.624992i	−0.852163	−	0.523276i	$-0.824710\pi$
$241$	2.21453	−	9.70249i	0.142650	−	0.624992i	0.994813	−	0.101716i	$-0.0324333\pi$
$242$	0.0558997	−	0.244913i	0.00359337	−	0.0157436i
$243$	−2.87350	+	3.60326i	−0.184335	+	0.231149i
$244$	4.76021	−	20.8558i	0.304741	−	1.33516i
$245$	2.90106	−	12.7104i	0.185342	−	0.812036i
$246$	0.144937	+	0.181745i	0.00924085	+	0.0115877i
$247$	−0.955907	−	4.18810i	−0.0608229	−	0.266483i
$248$	0.0150935	+	0.0661288i	0.000958436	+	0.00419918i
$249$	6.96553	+	3.35442i	0.441422	+	0.212578i
$250$	−0.102988	+	0.129143i	−0.00651353	+	0.00816771i
$251$	−16.0027	−	20.0668i	−1.01008	−	1.26661i	−0.963505	−	0.267691i	$-0.913740\pi$
$251$	−16.0027	−	20.0668i	−1.01008	−	1.26661i	−0.0465790	−	0.998915i	$-0.514832\pi$
$252$	−1.28445	−	0.618558i	−0.0809127	−	0.0389655i
$253$	−11.9142	+	14.9399i	−0.749036	+	0.939262i
$254$	0.501490	+	0.241505i	0.0314663	+	0.0151534i
$255$	−7.09446	+	8.89618i	−0.444273	+	0.557100i
$256$	−14.3058	+	6.88931i	−0.894112	+	0.430582i
$257$	13.9054	+	6.69651i	0.867398	+	0.417717i	0.814006	−	0.580857i	$-0.197282\pi$
$257$	13.9054	+	6.69651i	0.867398	+	0.417717i	0.0533921	+	0.998574i	$0.482997\pi$
$258$	0.565811	−	0.272480i	0.0352259	−	0.0169639i
$259$	4.35791	−	5.46464i	0.270787	−	0.339556i
$260$	0.683858	+	2.99618i	0.0424111	+	0.185815i
$261$	0.934491	+	0.450027i	0.0578435	+	0.0278560i
$262$	−0.178271	+	0.223545i	−0.0110136	+	0.0138107i
$263$	12.5113	−	6.02513i	0.771481	−	0.371526i	−0.00636587	−	0.999980i	$-0.502026\pi$
$263$	12.5113	−	6.02513i	0.771481	−	0.371526i	0.777847	+	0.628454i	$0.216312\pi$
$264$	−0.118553	+	0.519414i	−0.00729642	+	0.0319677i
$265$	−1.51172			−0.0928639
$266$	0.508476			0.0311767
$267$	−8.69265	−	10.9002i	−0.531981	−	0.667083i
$268$	−0.733428	−	0.919690i	−0.0448013	−	0.0561790i
$269$	10.3210	−	4.97035i	0.629285	−	0.303048i	−0.0919230	−	0.995766i	$-0.529301\pi$
$269$	10.3210	−	4.97035i	0.629285	−	0.303048i	0.721208	+	0.692718i	$0.243587\pi$
$270$	−0.139918	+	0.613022i	−0.00851515	+	0.0373073i
$271$	4.37532	+	19.1695i	0.265782	+	1.16447i	0.914869	+	0.403752i	$0.132294\pi$
$271$	4.37532	+	19.1695i	0.265782	+	1.16447i	−0.649087	+	0.760714i	$0.724849\pi$
$272$	6.05946	−	7.59832i	0.367409	−	0.460716i
$273$	−0.835134	+	1.04722i	−0.0505446	+	0.0633809i
$274$	0.280827			0.0169654
$275$	−1.68918	−	7.40079i	−0.101862	−	0.446285i
$276$	−17.8055	+	22.3274i	−1.07177	+	1.34395i
$277$	−11.2061	+	14.0520i	−0.673309	+	0.844302i	−0.994719	−	0.102638i	$-0.967272\pi$
$277$	−11.2061	+	14.0520i	−0.673309	+	0.844302i	0.321410	+	0.946940i	$0.395843\pi$
$278$	−0.0644424	+	0.282341i	−0.00386500	+	0.0169337i
$279$	0.175179	+	0.0843616i	0.0104877	+	0.00505060i
$280$	−0.727808			−0.0434948
$281$	−12.2576			−0.731226			−0.365613	−	0.930767i	$-0.619141\pi$
$281$	−12.2576			−0.731226			−0.365613	+	0.930767i	$0.619141\pi$
$282$	−0.0467476	+	0.204815i	−0.00278378	+	0.0121965i
$283$	−16.2937	+	20.4316i	−0.968558	+	1.21453i	0.00815119	+	0.999967i	$0.497405\pi$
$283$	−16.2937	+	20.4316i	−0.968558	+	1.21453i	−0.976709	+	0.214567i	$0.931166\pi$
$284$	29.1940			1.73234
$285$	8.49442	+	37.2165i	0.503166	+	2.20451i
$286$	−0.0395093	−	0.0190267i	−0.00233624	−	0.00112507i
$287$	1.32244	+	5.79397i	0.0780609	+	0.342007i
$288$	0.0465881	−	0.204116i	0.00274523	−	0.0120276i
$289$	2.46324	−	10.7922i	0.144897	−	0.634834i
$290$	0.264654			0.0155410
$291$	−1.36907	−	5.99829i	−0.0802564	−	0.351626i
$292$	7.61801	+	9.55268i	0.445810	+	0.559028i
$293$	5.28913	+	23.1732i	0.308994	+	1.35379i	0.856135	+	0.516752i	$0.172859\pi$
$293$	5.28913	+	23.1732i	0.308994	+	1.35379i	−0.547140	+	0.837041i	$0.684284\pi$
$294$	0.173341	+	0.217363i	0.0101095	+	0.0126769i
$295$	31.7701	+	15.2997i	1.84973	+	0.890781i
$296$	0.616466	+	0.296874i	0.0358313	+	0.0172555i
$297$	7.33686	+	9.20014i	0.425728	+	0.533846i
$298$	−0.0459926	−	0.201507i	−0.00266428	−	0.0116730i
$299$	−2.93224	−	3.67692i	−0.169576	−	0.212641i
$300$	−2.52446	−	11.0604i	−0.145750	−	0.638571i
$301$	16.0552			0.925405
$302$	0.0418893	−	0.183529i	0.00241046	−	0.0105609i
$303$	1.16924	−	5.12276i	0.0671709	−	0.294295i
$304$	−7.25518	−	31.7870i	−0.416113	−	1.82311i
$305$	−28.2051	−	13.5829i	−1.61502	−	0.777753i
$306$	0.00946397	+	0.0414643i	0.000541019	+	0.00237036i
$307$	23.2985			1.32972			0.664858	−	0.746970i	$-0.268492\pi$
$307$	23.2985			1.32972			0.664858	+	0.746970i	$0.268492\pi$
$308$	−4.24451	+	5.32245i	−0.241854	+	0.303275i
$309$	−4.41173	+	19.3290i	−0.250974	+	1.09959i
$310$	0.0496118			0.00281776
$311$	15.2811			0.866512			0.433256	−	0.901271i	$-0.357365\pi$
$311$	15.2811			0.866512			0.433256	+	0.901271i	$0.357365\pi$
$312$	−0.118137	−	0.0568919i	−0.00668821	−	0.00322087i
$313$	1.93833	−	8.49238i	0.109561	−	0.480018i	−0.890143	−	0.455681i	$-0.849396\pi$
$313$	1.93833	−	8.49238i	0.109561	−	0.480018i	0.999704	−	0.0243362i	$-0.00774721\pi$
$314$	0.138359	−	0.173497i	0.00780807	−	0.00979101i
$315$	−1.30077	+	1.63111i	−0.0732899	+	0.0919027i
$316$	−2.82190	−	12.3636i	−0.158744	−	0.695505i
$317$	−21.3925			−1.20152			−0.600762	−	0.799428i	$-0.705136\pi$
$317$	−21.3925			−1.20152			−0.600762	+	0.799428i	$0.705136\pi$
$318$	0.0200995	−	0.0252040i	0.00112713	−	0.00141337i
$319$	3.08806	−	3.87231i	0.172898	−	0.216808i
$320$	5.18244	+	22.7057i	0.289707	+	1.26929i
$321$	−3.20733	+	14.0522i	−0.179016	+	0.784318i
$322$	0.501541	−	0.241529i	0.0279498	−	0.0134599i
$323$	12.4045	+	15.5547i	0.690202	+	0.865487i
$324$	9.29238	+	11.6523i	0.516243	+	0.647349i
$325$	1.86828			0.103634
$326$	0.727226			0.0402773
$327$	−6.66517	+	29.2020i	−0.368585	+	1.61488i
$328$	−0.524160	+	0.252422i	−0.0289419	+	0.0139377i
$329$	−3.34866	+	4.19909i	−0.184618	+	0.231503i
$330$	0.351090	+	0.169076i	0.0193268	+	0.00930732i
$331$	−2.33084	−	10.2121i	−0.128115	−	0.561307i	−0.997716	−	0.0675522i	$-0.978481\pi$
$331$	−2.33084	−	10.2121i	−0.128115	−	0.561307i	0.869601	−	0.493755i	$-0.164376\pi$
$332$	−6.02951	+	7.56077i	−0.330912	+	0.414951i
$333$	1.76711	−	0.850993i	0.0968368	−	0.0466341i
$334$	0.591532	+	0.284867i	0.0323672	+	0.0155872i
$335$	−1.55096	+	0.746904i	−0.0847381	+	0.0408077i
$336$	−6.33853	+	7.94826i	−0.345795	+	0.433613i
$337$	−27.2494	−	13.1226i	−1.48437	−	0.714834i	−0.496199	−	0.868209i	$-0.665271\pi$
$337$	−27.2494	−	13.1226i	−1.48437	−	0.714834i	−0.988168	+	0.153375i	$0.950986\pi$
$338$	−0.309667	+	0.388310i	−0.0168437	+	0.0211213i
$339$	−10.3749	−	4.99627i	−0.563485	−	0.271360i
$340$	−8.87418	−	11.1279i	−0.481270	−	0.603493i
$341$	0.578885	−	0.725899i	0.0313484	−	0.0393096i
$342$	0.128554	+	0.0619082i	0.00695139	+	0.00334761i
$343$	4.06514	+	17.8105i	0.219497	+	0.961679i
$344$	0.349733	+	1.53228i	0.0188563	+	0.0826150i
$345$	26.0566	+	32.6740i	1.40284	+	1.75911i
$346$	0.0151332	−	0.0663028i	0.000813565	−	0.00356446i
$347$	6.18522	−	27.0992i	0.332040	−	1.45476i	−0.483135	−	0.875546i	$-0.660502\pi$
$347$	6.18522	−	27.0992i	0.332040	−	1.45476i	0.815175	−	0.579215i	$-0.196641\pi$
$348$	4.61507	−	5.78711i	0.247393	−	0.310222i
$349$	−3.45124	+	15.1209i	−0.184741	+	0.809402i	0.794592	+	0.607144i	$0.207685\pi$
$349$	−3.45124	+	15.1209i	−0.184741	+	0.809402i	−0.979332	+	0.202257i	$0.935172\pi$
$350$	−0.0492084	+	0.215596i	−0.00263030	+	0.0115241i
$351$	−2.60932	+	1.25658i	−0.139275	+	0.0670714i
$352$	−0.900753	−	0.433780i	−0.0480103	−	0.0231205i
$353$	−19.6386	−	24.6260i	−1.04526	−	1.31071i	−0.948974	−	0.315355i	$-0.897877\pi$
$353$	−19.6386	−	24.6260i	−1.04526	−	1.31071i	−0.0962814	−	0.995354i	$-0.530695\pi$
$354$	−0.677494	+	0.326264i	−0.0360084	+	0.0173407i
$355$	9.50663	−	41.6513i	0.504560	−	2.21062i
$356$	15.7123	−	7.56666i	0.832752	−	0.401032i
$357$	1.38039	−	6.04788i	0.0730579	−	0.320088i
$358$	−0.937907			−0.0495699
$359$	4.22110	+	18.4938i	0.222781	+	0.976068i	0.955374	+	0.295400i	$0.0954530\pi$
$359$	4.22110	+	18.4938i	0.222781	+	0.976068i	−0.732593	+	0.680667i	$0.761690\pi$
$360$	−0.184005	−	0.0886123i	−0.00969794	−	0.00467028i
$361$	47.7454			2.51291
$362$	−0.109375	−	0.137152i	−0.00574862	−	0.00720854i
$363$	−9.26363	+	4.46113i	−0.486214	+	0.234148i
$364$	−1.04464	−	1.30993i	−0.0547538	−	0.0686590i
$365$	16.1096	−	7.75797i	0.843215	−	0.406071i
$366$	0.601471	−	0.289653i	0.0314394	−	0.0151404i
$367$	−1.18423	−	5.18845i	−0.0618163	−	0.270835i	0.934569	−	0.355781i	$-0.115785\pi$
$367$	−1.18423	−	5.18845i	−0.0618163	−	0.270835i	−0.996386	+	0.0849465i	$0.972928\pi$
$368$	−22.2552	−	27.9072i	−1.16013	−	1.45476i
$369$	−0.371089	+	1.62585i	−0.0193181	+	0.0846383i
$370$	0.312030	−	0.391273i	0.0162216	−	0.0203413i
$371$	0.742540	−	0.357588i	0.0385508	−	0.0185651i
$372$	0.865135	−	1.08485i	0.0448552	−	0.0562466i
$373$	−18.3066	−	22.9557i	−0.947878	−	1.18860i	−0.981942	−	0.189182i	$-0.939417\pi$
$373$	−18.3066	−	22.9557i	−0.947878	−	1.18860i	0.0340642	−	0.999420i	$-0.489155\pi$
$374$	0.203092			0.0105017
$375$	6.76066			0.349119
$376$	−0.473699	−	0.228122i	−0.0244292	−	0.0117645i
$377$	0.760016	+	0.953030i	0.0391428	+	0.0490835i
$378$	−0.0762807	−	0.334207i	−0.00392345	−	0.0171898i
$379$	−7.07362	−	30.9916i	−0.363348	−	1.59193i	−0.744634	−	0.667473i	$-0.767376\pi$
$379$	−7.07362	−	30.9916i	−0.363348	−	1.59193i	0.381286	−	0.924457i	$-0.375481\pi$
$380$	−47.7498			−2.44951
$381$	−5.06939	−	22.2105i	−0.259713	−	1.13788i
$382$	−0.438853	+	0.211340i	−0.0224537	+	0.0108131i
$383$	−23.6714	+	11.3996i	−1.20955	+	0.582490i	−0.926384	−	0.376580i	$-0.877100\pi$
$383$	−23.6714	+	11.3996i	−1.20955	+	0.582490i	−0.283169	+	0.959070i	$0.591386\pi$
$384$	−1.79465	−	0.864260i	−0.0915831	−	0.0441041i
$385$	6.21142	+	7.78888i	0.316563	+	0.396958i
$386$	0.103937	−	0.455380i	0.00529028	−	0.0231782i
$387$	4.05909	+	1.95476i	0.206335	+	0.0993659i
$388$	7.69598			0.390704
$389$	18.4103	+	23.0858i	0.933441	+	1.17050i	0.985126	+	0.171835i	$0.0549695\pi$
$389$	18.4103	+	23.0858i	0.933441	+	1.17050i	−0.0516845	+	0.998663i	$0.516459\pi$
$390$	−0.0597963	+	0.0749822i	−0.00302790	+	0.00379687i
$391$	19.6238	+	9.45034i	0.992420	+	0.477924i
$392$	−0.626883	+	0.301891i	−0.0316624	+	0.0152478i
$393$	11.7027			0.590321
$394$	0.0605929	−	0.544526i	0.00305263	−	0.0274328i
$395$	−18.5581			−0.933761
$396$	−1.72113	+	0.828851i	−0.0864899	+	0.0416513i
$397$	−23.0579	−	11.1041i	−1.15724	−	0.557298i	−0.246040	−	0.969260i	$-0.579130\pi$
$397$	−23.0579	−	11.1041i	−1.15724	−	0.557298i	−0.911201	+	0.411961i	$0.864844\pi$
$398$	−0.319027	+	0.400047i	−0.0159914	+	0.0200525i
$399$	−12.9757	−	16.2711i	−0.649600	−	0.814573i
$400$	14.1799			0.708997
$401$	14.2682	+	6.87123i	0.712522	+	0.343133i	0.754784	−	0.655974i	$-0.227742\pi$
$401$	14.2682	+	6.87123i	0.712522	+	0.343133i	−0.0422613	+	0.999107i	$0.513456\pi$
$402$	0.00816862	−	0.0357891i	0.000407414	−	0.00178500i
$403$	0.142472	+	0.178654i	0.00709703	+	0.00889939i
$404$	5.92174	+	2.85176i	0.294618	+	0.141880i
$405$	19.6504	−	9.46311i	0.976434	−	0.470226i
$406$	−0.129996	+	0.0626026i	−0.00645158	+	0.00310692i
$407$	−2.08408	−	9.13096i	−0.103304	−	0.452605i
$408$	0.607269			0.0300643
$409$	−4.79745	−	21.0190i	−0.237219	−	1.03932i	−0.943495	−	0.331387i	$-0.892484\pi$
$409$	−4.79745	−	21.0190i	−0.237219	−	1.03932i	0.706276	−	0.707936i	$-0.250374\pi$
$410$	0.0946874	+	0.414853i	0.00467628	+	0.0204881i
$411$	−7.16640	−	8.98638i	−0.353492	−	0.443265i
$412$	−22.3438	−	10.7602i	−1.10080	−	0.530116i
$413$	−19.2242			−0.945963
$414$	0.156207			0.00767716
$415$	8.82358	+	11.0644i	0.433133	+	0.543131i
$416$	0.153413	−	0.192374i	0.00752168	−	0.00943189i
$417$	10.6793	−	5.14288i	0.522968	−	0.251848i
$418$	0.424811	−	0.532696i	0.0207782	−	0.0260550i
$419$	−4.17057	+	18.2725i	−0.203746	+	0.892669i	0.764885	+	0.644166i	$0.222796\pi$
$419$	−4.17057	+	18.2725i	−0.203746	+	0.892669i	−0.968631	+	0.248502i	$0.920062\pi$
$420$	9.28288	+	11.6404i	0.452958	+	0.567992i
$421$	1.51176	+	6.62346i	0.0736788	+	0.322808i	0.998314	−	0.0580464i	$-0.0184871\pi$
$421$	1.51176	+	6.62346i	0.0736788	+	0.322808i	−0.924635	+	0.380854i	$0.875630\pi$
$422$	−0.474994	+	0.228745i	−0.0231223	+	0.0111351i
$423$	−1.35786	+	0.653913i	−0.0660216	+	0.0317943i
$424$	0.0503026	+	0.0630774i	0.00244291	+	0.00306331i
$425$	−7.79571	+	3.75422i	−0.378147	+	0.182106i
$426$	0.568031	+	0.712288i	0.0275212	+	0.0345105i
$427$	17.0670			0.825932
$428$	−16.2439	−	7.82266i	−0.785179	−	0.378122i
$429$	0.399386	+	1.74983i	0.0192826	+	0.0844824i
$430$	1.14956			0.0554369
$431$	4.88924	−	21.4212i	0.235506	−	1.03182i	−0.709484	−	0.704722i	$-0.751072\pi$
$431$	4.88924	−	21.4212i	0.235506	−	1.03182i	0.944990	−	0.327099i	$-0.106071\pi$
$432$	−19.8043	+	9.53725i	−0.952835	+	0.458861i
$433$	−3.29197	+	14.4231i	−0.158202	+	0.693128i	0.832150	+	0.554551i	$0.187110\pi$
$433$	−3.29197	+	14.4231i	−0.158202	+	0.693128i	−0.990352	+	0.138577i	$0.955747\pi$
$434$	−0.0243689	+	0.0117354i	−0.00116974	+	0.000563318i
$435$	−6.75368	−	8.46885i	−0.323814	−	0.406050i
$436$	−33.7566	−	16.2563i	−1.61665	−	0.778536i
$437$	65.8350	−	31.7044i	3.14931	−	1.51663i
$438$	−0.0848462	+	0.371735i	−0.00405411	+	0.0177622i
$439$	−7.62765	+	33.4189i	−0.364048	+	1.59500i	0.378762	+	0.925494i	$0.376350\pi$
$439$	−7.62765	+	33.4189i	−0.364048	+	1.59500i	−0.742810	+	0.669503i	$0.766507\pi$
$440$	−0.608053	+	0.762475i	−0.0289878	+	0.0363495i
$441$	−0.443814	+	1.94448i	−0.0211340	+	0.0925941i
$442$	−0.0111225	+	0.0487307i	−0.000529042	+	0.00231788i
$443$	5.10659	+	6.40347i	0.242622	+	0.304238i	0.888201	−	0.459455i	$-0.151955\pi$
$443$	5.10659	+	6.40347i	0.242622	+	0.304238i	−0.645579	+	0.763693i	$0.723384\pi$
$444$	−3.11463	−	13.6461i	−0.147814	−	0.647615i
$445$	−5.67891	−	24.8809i	−0.269206	−	1.17947i
$446$	−0.477388	−	0.229898i	−0.0226050	−	0.0108860i
$447$	−5.27447	+	6.61398i	−0.249474	+	0.312830i
$448$	−7.91649	−	9.92697i	−0.374019	−	0.469005i
$449$	19.2752	+	9.28245i	0.909653	+	0.438066i	0.829366	−	0.558706i	$-0.188702\pi$
$449$	19.2752	+	9.28245i	0.909653	+	0.438066i	0.0802873	+	0.996772i	$0.474416\pi$
$450$	−0.0386903	+	0.0485161i	−0.00182388	+	0.00228707i
$451$	7.17478	+	3.45519i	0.337847	+	0.162699i
$452$	8.98071	−	11.2615i	0.422417	−	0.529694i
$453$	−6.94183	+	3.34301i	−0.326156	+	0.157068i
$454$	0.511559	+	0.246354i	0.0240086	+	0.0115620i
$455$	−2.20906	+	1.06383i	−0.103562	+	0.0498730i
$456$	1.27023	−	1.59282i	0.0594841	−	0.0745907i
$457$	1.03550	+	4.53683i	0.0484387	+	0.212224i	0.993355	−	0.115087i	$-0.0367147\pi$
$457$	1.03550	+	4.53683i	0.0484387	+	0.212224i	−0.944917	+	0.327311i	$0.893858\pi$
$458$	−0.326600	−	0.157282i	−0.0152610	−	0.00734931i
$459$	8.36278	−	10.4866i	0.390341	−	0.489472i
$460$	−47.0985	+	22.6814i	−2.19598	+	1.05753i
$461$	0.205818	−	0.901748i	0.00958591	−	0.0419986i	−0.969909	−	0.243469i	$-0.921715\pi$
$461$	0.205818	−	0.901748i	0.00958591	−	0.0419986i	0.979495	+	0.201470i	$0.0645719\pi$
$462$	−0.212446			−0.00988388
$463$	8.84135			0.410892			0.205446	−	0.978668i	$-0.434135\pi$
$463$	8.84135			0.410892			0.205446	+	0.978668i	$0.434135\pi$
$464$	5.76839	+	7.23334i	0.267791	+	0.335799i
$465$	−1.26604	−	1.58756i	−0.0587111	−	0.0736214i
$466$	−0.208480	+	0.100399i	−0.00965766	+	0.00465088i
$467$	−5.58694	+	24.4780i	−0.258533	+	1.13271i	0.664288	+	0.747477i	$0.268735\pi$
$467$	−5.58694	+	24.4780i	−0.258533	+	1.13271i	−0.922821	+	0.385230i	$0.874122\pi$
$468$	−0.104619	−	0.458366i	−0.00483601	−	0.0211880i
$469$	0.585141	−	0.733744i	0.0270193	−	0.0338811i
$470$	−0.239767	+	0.300658i	−0.0110596	+	0.0138683i
$471$	−9.08263			−0.418506
$472$	−0.418765	−	1.83473i	−0.0192752	−	0.0844503i
$473$	13.4134	−	16.8199i	0.616750	−	0.773380i
$474$	0.246746	−	0.309410i	0.0113334	−	0.0142117i
$475$	−6.45936	+	28.3003i	−0.296376	+	1.29851i
$476$	6.99115	+	3.36676i	0.320439	+	0.154315i
$477$	0.231267			0.0105890
$478$	0.0963367			0.00440634
$479$	2.19962	−	9.63717i	0.100503	−	0.440333i	−0.899491	−	0.436939i	$-0.856062\pi$
$479$	2.19962	−	9.63717i	0.100503	−	0.440333i	0.999994	−	0.00339419i	$-0.00108041\pi$
$480$	−1.36326	+	1.70948i	−0.0622242	+	0.0780267i
$481$	2.30505			0.105101
$482$	0.0864449	+	0.378740i	0.00393746	+	0.0172511i
$483$	−20.5276	−	9.88558i	−0.934039	−	0.449809i
$484$	−2.86188	−	12.5387i	−0.130085	−	0.569941i
$485$	2.50609	−	10.9799i	0.113796	−	0.498572i
$486$	0.0400324	−	0.175393i	0.00181590	−	0.00795600i
$487$	−4.52299			−0.204956			−0.102478	−	0.994735i	$-0.532677\pi$
$487$	−4.52299			−0.204956			−0.102478	+	0.994735i	$0.532677\pi$
$488$	0.371775	+	1.62885i	0.0168294	+	0.0737346i
$489$	−18.5580	−	23.2710i	−0.839222	−	1.05235i
$490$	0.113244	+	0.496154i	0.00511584	+	0.0224139i
$491$	−17.7449	−	22.2514i	−0.800818	−	1.00419i	−0.999708	−	0.0241719i	$-0.992305\pi$
$491$	−17.7449	−	22.2514i	−0.800818	−	1.00419i	0.198890	−	0.980022i	$-0.436266\pi$
$492$	10.7226	+	5.16374i	0.483413	+	0.232799i
$493$	−5.08635	−	2.44946i	−0.229078	−	0.110318i
$494$	0.104552	+	0.131104i	0.00470402	+	0.00589865i
$495$	0.622066	+	2.72545i	0.0279598	+	0.122500i
$496$	1.08134	+	1.35595i	0.0485535	+	0.0608841i
$497$	5.18283	+	22.7075i	0.232482	+	1.01857i
$498$	−0.301788			−0.0135235
$499$	0.0162447	−	0.0711728i	0.000727214	−	0.00318613i	−0.974563	−	0.224114i	$-0.928051\pi$
$499$	0.0162447	−	0.0711728i	0.000727214	−	0.00318613i	0.975290	+	0.220928i	$0.0709084\pi$
$500$	−1.88178	+	8.24461i	−0.0841557	+	0.368710i
$501$	−5.97959	−	26.1983i	−0.267149	−	1.17045i
$502$	0.902678	+	0.434707i	0.0402885	+	0.0194019i
$503$	7.26012	+	31.8086i	0.323713	+	1.41828i	0.830891	+	0.556436i	$0.187832\pi$
$503$	7.26012	+	31.8086i	0.323713	+	1.41828i	−0.507178	+	0.861841i	$0.669311\pi$
$504$	0.111343			0.00495959
$505$	5.99697	−	7.51997i	0.266862	−	0.334634i
$506$	0.165983	−	0.727218i	0.00737883	−	0.0323288i
$507$	20.3281			0.902804
$508$	28.4966			1.26433
$509$	32.4785	+	15.6408i	1.43959	+	0.693268i	0.980752	−	0.195255i	$-0.0625535\pi$
$509$	32.4785	+	15.6408i	1.43959	+	0.693268i	0.458833	+	0.888523i	$0.348268\pi$
$510$	0.0988369	−	0.433033i	0.00437657	−	0.0191750i
$511$	−6.07777	+	7.62128i	−0.268865	+	0.337146i
$512$	1.94112	−	2.43409i	0.0857863	−	0.107573i
$513$	−10.0130	−	43.8699i	−0.442086	−	1.93690i
$514$	−0.602467			−0.0265737
$515$	−22.6276	+	28.3741i	−0.997092	+	1.25031i
$516$	20.0462	−	25.1371i	0.882484	−	1.10660i
$517$	1.60143	+	7.01634i	0.0704309	+	0.308578i
$518$	−0.0607124	+	0.265998i	−0.00266755	+	0.0116873i
$519$	−2.50785	+	1.20772i	−0.110082	+	0.0530129i
$520$	−0.149651	−	0.187656i	−0.00656261	−	0.00822925i
$521$	5.41196	+	6.78638i	0.237102	+	0.297317i	0.886119	−	0.463457i	$-0.153391\pi$
$521$	5.41196	+	6.78638i	0.237102	+	0.297317i	−0.649017	+	0.760774i	$0.724820\pi$
$522$	−0.0404877			−0.00177210
$523$	6.52379			0.285265			0.142633	−	0.989776i	$-0.454443\pi$
$523$	6.52379			0.285265			0.142633	+	0.989776i	$0.454443\pi$
$524$	−3.25735	+	14.2714i	−0.142298	+	0.623447i
$525$	8.15474	−	3.92712i	0.355902	−	0.171393i
$526$	−0.337972	+	0.423803i	−0.0147363	+	0.0184787i
$527$	−0.953483	−	0.459173i	−0.0415344	−	0.0200019i
$528$	3.03128	+	13.2809i	0.131919	+	0.577976i
$529$	35.5369	−	44.5618i	1.54508	−	1.93747i
$530$	0.0531665	−	0.0256036i	0.00230940	−	0.00111215i
$531$	−4.86030	−	2.34060i	−0.210919	−	0.101573i
$532$	23.4542	−	11.2950i	1.01687	−	0.489699i
$533$	−1.22198	+	1.53232i	−0.0529299	+	0.0663721i
$534$	0.490332	+	0.236132i	0.0212188	+	0.0102184i
$535$	−16.4503	+	20.6280i	−0.711207	+	0.891826i
$536$	0.0827736	+	0.0398616i	0.00357527	+	0.00172176i
$537$	23.9343	+	30.0127i	1.03284	+	1.29514i
$538$	−0.278806	+	0.349611i	−0.0120202	+	0.0150728i
$539$	8.58087	+	4.13233i	0.369604	+	0.177992i
$540$	7.16334	+	31.3846i	0.308261	+	1.35058i
$541$	2.10736	+	9.23293i	0.0906023	+	0.396955i	0.999812	−	0.0193835i	$-0.00617035\pi$
$541$	2.10736	+	9.23293i	0.0906023	+	0.396955i	−0.909210	+	0.416338i	$0.863313\pi$
$542$	−0.478549	−	0.600081i	−0.0205554	−	0.0257757i
$543$	−1.59769	+	6.99992i	−0.0685633	+	0.300396i
$544$	−0.253575	+	1.11099i	−0.0108719	+	0.0476331i
$545$	−34.1854	+	42.8672i	−1.46434	+	1.83623i
$546$	0.0116347	−	0.0509750i	0.000497920	−	0.00218153i
$547$	4.49307	−	19.6854i	0.192110	−	0.841689i	−0.783362	−	0.621566i	$-0.786497\pi$
$547$	4.49307	−	19.6854i	0.192110	−	0.841689i	0.975472	−	0.220123i	$-0.0706460\pi$
$548$	12.9536	−	6.23812i	0.553350	−	0.266479i
$549$	4.31492	+	2.07795i	0.184156	+	0.0886849i
$550$	0.184754	+	0.231674i	0.00787792	+	0.00987861i
$551$	−17.0639	+	8.21756i	−0.726948	+	0.350080i
$552$	0.496307	−	2.17446i	0.0211242	−	0.0925512i
$553$	9.11558	−	4.38983i	0.387634	−	0.186675i
$554$	0.156118	−	0.683999i	0.00663283	−	0.0290603i
$555$	−20.4832			−0.869465
$556$	3.29923	+	14.4549i	0.139919	+	0.613023i
$557$	−28.2708	−	13.6145i	−1.19787	−	0.576865i	−0.274804	−	0.961500i	$-0.588613\pi$
$557$	−28.2708	−	13.6145i	−1.19787	−	0.576865i	−0.923069	+	0.384635i	$0.874327\pi$
$558$	−0.00758979			−0.000321301
$559$	3.30124	+	4.13962i	0.139627	+	0.175087i
$560$	−16.7664	+	8.07428i	−0.708510	+	0.341201i
$561$	−5.18269	−	6.49889i	−0.218813	−	0.274383i
$562$	0.431095	−	0.207604i	0.0181846	−	0.00875726i
$563$	17.1720	−	8.26962i	0.723715	−	0.348523i	−0.0354936	−	0.999370i	$-0.511300\pi$
$563$	17.1720	−	8.26962i	0.723715	−	0.348523i	0.759209	+	0.650847i	$0.225586\pi$
$564$	2.39332	+	10.4858i	0.100777	+	0.441532i
$565$	−13.1424	−	16.4800i	−0.552903	−	0.693319i
$566$	0.226996	−	0.994535i	0.00954136	−	0.0418034i
$567$	−7.41361	+	9.29638i	−0.311343	+	0.390411i
$568$	−2.05426	+	0.989282i	−0.0861950	+	0.0415093i
$569$	2.12631	−	2.66630i	0.0891394	−	0.111777i	−0.735262	−	0.677783i	$-0.762941\pi$
$569$	2.12631	−	2.66630i	0.0891394	−	0.111777i	0.824401	+	0.566006i	$0.191512\pi$
$570$	−0.929074	−	1.16502i	−0.0389146	−	0.0487974i
$571$	24.1779			1.01181			0.505906	−	0.862589i	$-0.331158\pi$
$571$	24.1779			1.01181			0.505906	+	0.862589i	$0.331158\pi$
$572$	−2.24508			−0.0938713
$573$	17.9619	+	8.64997i	0.750367	+	0.361358i
$574$	−0.144641	−	0.181374i	−0.00603719	−	0.00757040i
$575$	7.07156	+	30.9825i	0.294904	+	1.29206i
$576$	−0.792827	−	3.47360i	−0.0330345	−	0.144733i
$577$	−33.0740			−1.37689			−0.688445	−	0.725289i	$-0.741706\pi$
$577$	−33.0740			−1.37689			−0.688445	+	0.725289i	$0.741706\pi$
$578$	0.0961536	+	0.421276i	0.00399946	+	0.0175228i
$579$	−17.2244	+	8.29482i	−0.715820	+	0.344721i
$580$	12.2076	−	5.87886i	0.506892	−	0.244106i
$581$	−6.95129	−	3.34757i	−0.288388	−	0.138880i
$582$	0.149742	+	0.187770i	0.00620699	+	0.00778332i
$583$	0.245740	−	1.07666i	0.0101775	−	0.0445907i
$584$	−0.859756	−	0.414037i	−0.0355770	−	0.0171330i
$585$	−0.688022			−0.0284462
$586$	−0.578497	−	0.725412i	−0.0238975	−	0.0299665i
$587$	−5.01103	+	6.28363i	−0.206827	+	0.259353i	−0.874416	−	0.485177i	$-0.838755\pi$
$587$	−5.01103	+	6.28363i	−0.206827	+	0.259353i	0.667589	+	0.744530i	$0.267327\pi$
$588$	12.8240	+	6.17571i	0.528852	+	0.254682i
$589$	−3.19879	+	1.54046i	−0.131804	+	0.0634734i
$590$	−1.37647			−0.0566684
$591$	−18.9709	+	11.9568i	−0.780360	+	0.491835i
$592$	17.4950			0.719038
$593$	−1.52036	+	0.732168i	−0.0624338	+	0.0300666i	−0.464840	−	0.885395i	$-0.653888\pi$
$593$	−1.52036	+	0.732168i	−0.0624338	+	0.0300666i	0.402406	+	0.915461i	$0.368174\pi$
$594$	−0.413856	−	0.199302i	−0.0169807	−	0.00817748i
$595$	7.07997	−	8.87800i	0.290250	−	0.363962i
$596$	−6.59762	−	8.27316i	−0.270249	−	0.338882i
$597$	20.9426			0.857122
$598$	0.165401	+	0.0796530i	0.00676375	+	0.00325725i
$599$	−0.895258	+	3.92238i	−0.0365792	+	0.160264i	−0.989919	−	0.141636i	$-0.954764\pi$
$599$	−0.895258	+	3.92238i	−0.0365792	+	0.160264i	0.953340	+	0.301900i	$0.0976209\pi$
$600$	0.552434	+	0.692731i	0.0225530	+	0.0282806i
$601$	16.3260	+	7.86219i	0.665951	+	0.320705i	0.736141	−	0.676828i	$-0.236646\pi$
$601$	16.3260	+	7.86219i	0.665951	+	0.320705i	−0.0701895	+	0.997534i	$0.522360\pi$
$602$	−0.564655	+	0.271923i	−0.0230136	+	0.0110828i
$603$	0.237271	−	0.114264i	0.00966244	−	0.00465318i
$604$	−2.14459	−	9.39605i	−0.0872620	−	0.382320i
$605$	−18.8210			−0.765183
$606$	0.0456415	+	0.199969i	0.00185406	+	0.00812317i
$607$	0.0106242	+	0.0465477i	0.000431223	+	0.00188931i	0.975143	−	0.221576i	$-0.0711201\pi$
$607$	0.0106242	+	0.0465477i	0.000431223	+	0.00188931i	−0.974712	+	0.223465i	$0.928263\pi$
$608$	2.38363	+	2.98897i	0.0966688	+	0.121219i
$609$	5.32061	+	2.56227i	0.215602	+	0.103828i
$610$	1.22201			0.0494779
$611$	−1.77123			−0.0716562
$612$	1.35760	+	1.70238i	0.0548778	+	0.0688146i
$613$	−17.7717	+	22.2850i	−0.717791	+	0.900081i	−0.998211	−	0.0597963i	$-0.980955\pi$
$613$	−17.7717	+	22.2850i	−0.717791	+	0.900081i	0.280420	+	0.959877i	$0.409526\pi$
$614$	−0.819400	+	0.394602i	−0.0330683	+	0.0159249i
$615$	10.8588	−	13.6165i	0.437870	−	0.549072i
$616$	0.118310	−	0.518352i	0.00476686	−	0.0208850i
$617$	16.3593	+	20.5139i	0.658600	+	0.825858i	0.993190	−	0.116505i	$-0.0371692\pi$
$617$	16.3593	+	20.5139i	0.658600	+	0.825858i	−0.334590	+	0.942364i	$0.608598\pi$
$618$	−0.172213	−	0.754516i	−0.00692744	−	0.0303511i
$619$	−42.8045	+	20.6136i	−1.72046	+	0.828529i	−0.731234	+	0.682127i	$0.761055\pi$
$619$	−42.8045	+	20.6136i	−1.72046	+	0.828529i	−0.989225	+	0.146402i	$0.953231\pi$
$620$	2.28842	−	1.10205i	0.0919052	−	0.0442592i
$621$	−30.7149	−	38.5153i	−1.23255	−	1.54556i
$622$	−0.537431	+	0.258813i	−0.0215490	+	0.0103775i
$623$	8.67488	+	10.8780i	0.347552	+	0.435816i
$624$	−3.35267			−0.134214
$625$	27.1561	+	13.0777i	1.08624	+	0.523107i
$626$	0.0756634	+	0.331503i	0.00302412	+	0.0132495i
$627$	−27.8868			−1.11369
$628$	2.52808	−	11.0762i	0.100881	−	0.441990i
$629$	−9.61821	+	4.63188i	−0.383503	+	0.184685i
$630$	0.0181217	−	0.0793964i	0.000721986	−	0.00316323i
$631$	−43.4232	+	20.9115i	−1.72865	+	0.832475i	−0.741846	+	0.670571i	$0.766049\pi$
$631$	−43.4232	+	20.9115i	−1.72865	+	0.832475i	−0.986806	+	0.161904i	$0.948236\pi$
$632$	0.617525	+	0.774351i	0.0245638	+	0.0308020i
$633$	19.4411	+	9.36232i	0.772713	+	0.372119i
$634$	0.752367	−	0.362321i	0.0298803	−	0.0143896i
$635$	9.27956	−	40.6564i	0.368248	−	1.61340i
$636$	0.367256	−	1.60905i	0.0145626	−	0.0638031i
$637$	−1.46146	+	1.83261i	−0.0579052	+	0.0726108i
$638$	−0.0430215	+	0.188490i	−0.00170324	+	0.00746237i
$639$	−1.45436	+	6.37196i	−0.0575335	+	0.252071i
$640$	−2.27338	−	2.85073i	−0.0898632	−	0.112685i
$641$	3.91077	+	17.1342i	0.154466	+	0.676761i	0.991554	+	0.129693i	$0.0413991\pi$
$641$	3.91077	+	17.1342i	0.154466	+	0.676761i	−0.837088	+	0.547068i	$0.815744\pi$
$642$	−0.125199	−	0.548533i	−0.00494122	−	0.0216489i
$643$	−2.97121	−	1.43086i	−0.117173	−	0.0564275i	0.374379	−	0.927276i	$-0.377856\pi$
$643$	−2.97121	−	1.43086i	−0.117173	−	0.0564275i	−0.491552	+	0.870848i	$0.663570\pi$
$644$	17.7691	−	22.2818i	0.700202	−	0.878026i
$645$	−29.3356	−	36.7857i	−1.15509	−	1.44843i
$646$	−0.699707	−	0.336961i	−0.0275296	−	0.0132576i
$647$	−21.0735	+	26.4254i	−0.828485	+	1.03889i	0.170085	+	0.985429i	$0.445596\pi$
$647$	−21.0735	+	26.4254i	−0.828485	+	1.03889i	−0.998570	+	0.0534583i	$0.982976\pi$
$648$	−1.04872	−	0.505039i	−0.0411978	−	0.0198398i
$649$	−16.0610	+	20.1399i	−0.630451	+	0.790561i
$650$	−0.0657068	+	0.0316427i	−0.00257723	+	0.00124113i
$651$	0.997396	+	0.480321i	0.0390910	+	0.0188252i
$652$	33.5444	−	16.1541i	1.31370	−	0.632645i
$653$	7.18241	−	9.00646i	0.281070	−	0.352450i	−0.621177	−	0.783670i	$-0.713345\pi$
$653$	7.18241	−	9.00646i	0.281070	−	0.352450i	0.902247	+	0.431220i	$0.141917\pi$
$654$	−0.260177	−	1.13991i	−0.0101737	−	0.0445740i
$655$	19.3004	+	9.29457i	0.754128	+	0.363169i
$656$	−9.27464	+	11.6300i	−0.362114	+	0.454077i
$657$	−2.46450	+	1.18684i	−0.0961493	+	0.0463031i
$658$	0.0466521	−	0.204396i	0.00181869	−	0.00796819i
$659$	−36.0971			−1.40614			−0.703072	−	0.711118i	$-0.748189\pi$
$659$	−36.0971			−1.40614			−0.703072	+	0.711118i	$0.748189\pi$
$660$	19.9503			0.776564
$661$	10.5307	+	13.2051i	0.409598	+	0.513620i	0.943250	−	0.332085i	$-0.107752\pi$
$661$	10.5307	+	13.2051i	0.409598	+	0.513620i	−0.533651	+	0.845705i	$0.679181\pi$
$662$	0.254935	+	0.319679i	0.00990833	+	0.0124247i
$663$	1.84320	−	0.887638i	0.0715839	−	0.0344730i
$664$	0.168065	−	0.736341i	0.00652219	−	0.0285756i
$665$	−8.47706	−	37.1404i	−0.328726	−	1.44024i
$666$	−0.0477354	+	0.0598582i	−0.00184971	+	0.00231946i
$667$	−12.9278	+	16.2109i	−0.500566	+	0.627690i
$668$	33.6132			1.30053
$669$	4.82575	+	21.1430i	0.186574	+	0.817435i
$670$	0.0418966	−	0.0525367i	0.00161861	−	0.00202967i
$671$	14.2588	−	17.8800i	0.550455	−	0.690249i
$672$	0.265254	−	1.16215i	0.0102324	−	0.0448310i
$673$	34.0206	+	16.3835i	1.31140	+	0.631536i	0.953265	−	0.302135i	$-0.0976992\pi$
$673$	34.0206	+	16.3835i	1.31140	+	0.631536i	0.358133	+	0.933671i	$0.383414\pi$
$674$	1.18061			0.0454752
$675$	19.5700			0.753251
$676$	−5.65818	+	24.7901i	−0.217622	+	0.953466i
$677$	29.5983	−	37.1151i	1.13756	−	1.42645i	0.248512	−	0.968629i	$-0.420059\pi$
$677$	29.5983	−	37.1151i	1.13756	−	1.42645i	0.889044	−	0.457821i	$-0.151370\pi$
$678$	0.449501			0.0172630
$679$	1.36627	+	5.98604i	0.0524328	+	0.229723i
$680$	1.00153	+	0.482309i	0.0384068	+	0.0184957i
$681$	−5.17117	−	22.6564i	−0.198160	−	0.868195i
$682$	−0.00806477	+	0.0353341i	−0.000308816	+	0.00135301i
$683$	9.35345	−	40.9801i	0.357900	−	1.56806i	−0.400516	−	0.916290i	$-0.631169\pi$
$683$	9.35345	−	40.9801i	0.357900	−	1.56806i	0.758415	−	0.651772i	$-0.225974\pi$
$684$	7.30493			0.279311
$685$	−4.68181	−	20.5124i	−0.178883	−	0.783737i
$686$	−0.444623	−	0.557540i	−0.0169758	−	0.0212870i
$687$	3.30148	+	14.4647i	0.125959	+	0.551864i
$688$	25.0558	+	31.4190i	0.955245	+	1.19784i
$689$	0.244879	+	0.117928i	0.00932916	+	0.00449269i
$690$	−1.46979	−	0.707815i	−0.0559541	−	0.0269461i
$691$	−0.989411	−	1.24068i	−0.0376390	−	0.0471978i	0.762656	−	0.646805i	$-0.223895\pi$
$691$	−0.989411	−	1.24068i	−0.0376390	−	0.0471978i	−0.800295	+	0.599607i	$0.795324\pi$
$692$	−0.774767	−	3.39448i	−0.0294522	−	0.129039i
$693$	−0.950244	−	1.19157i	−0.0360968	−	0.0452640i
$694$	0.241442	+	1.05783i	0.00916502	+	0.0401546i
$695$	21.6973			0.823024
$696$	−0.128639	+	0.563605i	−0.00487605	+	0.0213634i
$697$	2.01981	−	8.84936i	0.0765057	−	0.335193i
$698$	−0.134720	−	0.590248i	−0.00509924	−	0.0223412i
$699$	8.53291	+	4.10923i	0.322744	+	0.155425i
$700$	2.51930	+	11.0378i	0.0952206	+	0.417189i
$701$	45.3775			1.71388			0.856942	−	0.515412i	$-0.172361\pi$
$701$	45.3775			1.71388			0.856942	+	0.515412i	$0.172361\pi$
$702$	0.0704864	−	0.0883871i	0.00266034	−	0.00333596i
$703$	−7.96944	+	34.9164i	−0.300573	+	1.31690i
$704$	−17.0137			−0.641228
$705$	15.7396			0.592786
$706$	1.10777	+	0.533472i	0.0416913	+	0.0200775i
$707$	−1.16685	+	5.11229i	−0.0438838	+	0.192267i
$708$	−24.0030	+	30.0988i	−0.902088	+	1.13118i
$709$	29.5881	−	37.1023i	1.11120	−	1.39341i	0.200826	−	0.979627i	$-0.435637\pi$
$709$	29.5881	−	37.1023i	1.11120	−	1.39341i	0.910378	−	0.413778i	$-0.135791\pi$
$710$	0.371095	+	1.62587i	0.0139269	+	0.0610179i
$711$	2.83909			0.106474
$712$	−0.849208	+	1.06487i	−0.0318254	+	0.0399078i
$713$	−2.42343	+	3.03889i	−0.0907582	+	0.113807i
$714$	0.0538839	+	0.236081i	0.00201656	+	0.00883511i
$715$	−0.731080	+	3.20307i	−0.0273408	+	0.119788i
$716$	−43.2624	+	20.8341i	−1.61679	+	0.778605i
$717$	−2.45841	−	3.08274i	−0.0918108	−	0.115127i
$718$	−0.461681	−	0.578930i	−0.0172298	−	0.0216055i
$719$	−3.19777			−0.119257			−0.0596284	−	0.998221i	$-0.518992\pi$
$719$	−3.19777			−0.119257			−0.0596284	+	0.998221i	$0.518992\pi$
$720$	−5.22197			−0.194611
$721$	4.40271	−	19.2895i	0.163966	−	0.718380i
$722$	−1.67919	+	0.808654i	−0.0624929	+	0.0300950i
$723$	9.91358	−	12.4312i	0.368690	−	0.462322i
$724$	−8.09169	−	3.89675i	−0.300725	−	0.144822i
$725$	−1.83290	−	8.03044i	−0.0680721	−	0.298243i
$726$	0.250241	−	0.313793i	0.00928732	−	0.0116459i
$727$	−29.8540	+	14.3769i	−1.10722	+	0.533210i	−0.895922	−	0.444211i	$-0.853484\pi$
$727$	−29.8540	+	14.3769i	−1.10722	+	0.533210i	−0.211300	+	0.977421i	$0.567770\pi$
$728$	0.117896	+	0.0567757i	0.00436951	+	0.00210425i
$729$	−26.7913	+	12.9020i	−0.992270	+	0.477852i
$730$	−0.435173	+	0.545690i	−0.0161065	+	0.0201969i
$731$	−22.0933	−	10.6396i	−0.817150	−	0.393519i
$732$	21.3096	−	26.7214i	0.787625	−	0.987650i
$733$	−2.18882	−	1.05408i	−0.0808458	−	0.0389333i	0.393024	−	0.919528i	$-0.371429\pi$
$733$	−2.18882	−	1.05408i	−0.0808458	−	0.0389333i	−0.473870	+	0.880595i	$0.657143\pi$
$734$	0.129525	+	0.162419i	0.00478084	+	0.00599499i
$735$	12.9869	−	16.2851i	0.479029	−	0.600683i
$736$	3.77089	+	1.81597i	0.138997	+	0.0669374i
$737$	−0.279832	−	1.22603i	−0.0103078	−	0.0451612i
$738$	−0.0144856	−	0.0634656i	−0.000533223	−	0.00233620i
$739$	−4.31585	−	5.41191i	−0.158761	−	0.199080i	0.696088	−	0.717956i	$-0.254922\pi$
$739$	−4.31585	−	5.41191i	−0.158761	−	0.199080i	−0.854850	+	0.518876i	$0.826351\pi$
$740$	5.70136	−	24.9793i	0.209586	−	0.918256i
$741$	1.52724	−	6.69126i	0.0561044	−	0.245810i
$742$	−0.0200585	+	0.0251525i	−0.000736369	+	0.000923378i
$743$	1.10012	−	4.81996i	0.0403596	−	0.176827i	−0.950731	−	0.310018i	$-0.899665\pi$
$743$	1.10012	−	4.81996i	0.0403596	−	0.176827i	0.991090	+	0.133191i	$0.0425222\pi$
$744$	−0.0241146	+	0.105653i	−0.000884082	+	0.00387342i
$745$	−13.9518	+	6.71884i	−0.511155	+	0.246159i
$746$	1.03263	+	0.497289i	0.0378073	+	0.0182070i
$747$	−1.34986	−	1.69267i	−0.0493889	−	0.0619317i
$748$	9.36794	−	4.51136i	0.342526	−	0.164952i
$749$	3.20077	−	14.0235i	0.116954	−	0.512408i
$750$	−0.237770	+	0.114504i	−0.00868214	+	0.00418110i
$751$	5.60830	−	24.5715i	0.204650	−	0.896629i	−0.763411	−	0.645913i	$-0.776477\pi$
$751$	5.60830	−	24.5715i	0.204650	−	0.896629i	0.968061	−	0.250716i	$-0.0806659\pi$
$752$	−13.4433			−0.490228
$753$	−9.12486	−	39.9786i	−0.332528	−	1.45690i
$754$	−0.0428708	−	0.0206455i	−0.00156126	−	0.000751864i
$755$	−14.1038			−0.513289
$756$	−10.9424	−	13.7214i	−0.397972	−	0.499042i
$757$	−8.56024	+	4.12240i	−0.311127	+	0.149831i	−0.582931	−	0.812522i	$-0.698094\pi$
$757$	−8.56024	+	4.12240i	−0.311127	+	0.149831i	0.271804	+	0.962353i	$0.412380\pi$
$758$	0.773675	+	0.970158i	0.0281011	+	0.0352377i
$759$	−27.5064	+	13.2464i	−0.998420	+	0.480814i
$760$	3.35997	−	1.61807i	0.121879	−	0.0586937i
$761$	−2.44306	−	10.7037i	−0.0885608	−	0.388010i	0.911150	−	0.412076i	$-0.135196\pi$
$761$	−2.44306	−	10.7037i	−0.0885608	−	0.388010i	−0.999710	+	0.0240656i	$0.992339\pi$
$762$	0.554463	+	0.695274i	0.0200861	+	0.0251871i
$763$	6.65155	−	29.1423i	0.240802	−	1.05502i
$764$	−15.5482	+	19.4968i	−0.562513	+	0.705369i
$765$	2.87089	−	1.38255i	0.103797	−	0.0499860i
$766$	0.639443	−	0.801836i	0.0231040	−	0.0289715i
$767$	−3.95285	−	4.95672i	−0.142729	−	0.178977i
$768$	−25.3684			−0.915403
$769$	−42.6122			−1.53664			−0.768318	−	0.640068i	$-0.778906\pi$
$769$	−42.6122			−1.53664			−0.768318	+	0.640068i	$0.778906\pi$
$770$	−0.350372	−	0.168730i	−0.0126265	−	0.00608062i
$771$	15.3743	+	19.2787i	0.553691	+	0.694307i
$772$	−5.32124	−	23.3139i	−0.191516	−	0.839085i
$773$	2.12885	+	9.32712i	0.0765696	+	0.335473i	0.998675	−	0.0514661i	$-0.0163894\pi$
$773$	2.12885	+	9.32712i	0.0765696	+	0.335473i	−0.922105	+	0.386939i	$0.873532\pi$
$774$	−0.175864			−0.00632131
$775$	−0.343593	−	1.50538i	−0.0123422	−	0.0540748i
$776$	−0.541536	+	0.260790i	−0.0194400	+	0.00936181i
$777$	10.0612	−	4.84521i	0.360943	−	0.173821i
$778$	−1.03849	−	0.500108i	−0.0372315	−	0.0179297i
$779$	−18.9863	−	23.8081i	−0.680256	−	0.853015i
$780$	−1.09259	+	4.78694i	−0.0391209	+	0.171400i
$781$	28.1191	+	13.5414i	1.00618	+	0.484551i
$782$	−0.850222			−0.0304039
$783$	7.96108	+	9.98288i	0.284506	+	0.356759i
$784$	−11.0922	+	13.9092i	−0.396152	+	0.496759i
$785$	−14.9793	−	7.21367i	−0.534636	−	0.257467i
$786$	−0.411578	+	0.198206i	−0.0146805	+	0.00706976i
$787$	−23.8088			−0.848692			−0.424346	−	0.905500i	$-0.639496\pi$
$787$	−23.8088			−0.848692			−0.424346	+	0.905500i	$0.639496\pi$
$788$	−9.30082	−	26.4631i	−0.331328	−	0.942708i
$789$	22.1862			0.789851
$790$	0.652683	−	0.314315i	0.0232214	−	0.0111828i
$791$	10.3537	+	4.98606i	0.368134	+	0.177284i
$792$	0.0930221	−	0.116646i	0.00330540	−	0.00414483i
$793$	3.50929	+	4.40052i	0.124619	+	0.156267i
$794$	0.999005			0.0354534
$795$	−2.17606	−	1.04793i	−0.0771768	−	0.0371664i
$796$	−5.82920	+	25.5394i	−0.206611	+	0.905220i
$797$	9.59181	+	12.0278i	0.339759	+	0.426045i	0.922131	−	0.386878i	$-0.126447\pi$
$797$	9.59181	+	12.0278i	0.339759	+	0.426045i	−0.582372	+	0.812923i	$0.697875\pi$
$798$	0.731932	+	0.352480i	0.0259101	+	0.0124777i
$799$	7.39074	−	3.55919i	0.261466	−	0.125915i
$800$	−1.49801	+	0.721406i	−0.0529628	+	0.0255055i
$801$	0.868779	+	3.80637i	0.0306968	+	0.134491i
$802$	−0.618186			−0.0218289
$803$	2.90657	+	12.7345i	0.102571	+	0.449392i
$804$	−0.418205	−	1.83228i	−0.0147490	−	0.0646194i
$805$	−26.0034	−	32.6072i	−0.916498	−	1.14925i
$806$	−0.00803651	−	0.00387018i	−0.000283074	−	0.000136321i
$807$	18.3022			0.644270
$808$	−0.513326			−0.0180588
$809$	5.65040	+	7.08538i	0.198657	+	0.249109i	0.871175	−	0.490973i	$-0.163358\pi$
$809$	5.65040	+	7.08538i	0.198657	+	0.249109i	−0.672518	+	0.740081i	$0.734787\pi$
$810$	−0.530821	+	0.665628i	−0.0186511	+	0.0233878i
$811$	39.6524	−	19.0956i	1.39238	−	0.670537i	0.420783	−	0.907162i	$-0.361756\pi$
$811$	39.6524	−	19.0956i	1.39238	−	0.670537i	0.971601	+	0.236625i	$0.0760412\pi$
$812$	−4.60563	+	5.77528i	−0.161626	+	0.202673i
$813$	−6.99037	+	30.6268i	−0.245163	+	1.07413i
$814$	0.227946	+	0.285835i	0.00798950	+	0.0100185i
$815$	−12.1239	−	53.1185i	−0.424683	−	1.86066i
$816$	13.9896	−	6.73702i	0.489733	−	0.235843i
$817$	−74.1196	+	35.6941i	−2.59312	+	1.24878i
$818$	0.524719	+	0.657977i	0.0183464	+	0.0230056i
$819$	0.337950	−	0.162748i	0.0118089	−	0.00568688i
$820$	13.5829	+	17.0324i	0.474335	+	0.594797i
$821$	−48.2365			−1.68347			−0.841733	−	0.539894i	$-0.818464\pi$
$821$	−48.2365			−1.68347			−0.841733	+	0.539894i	$0.818464\pi$
$822$	0.404240	+	0.194672i	0.0140995	+	0.00678996i
$823$	−11.8140	−	51.7606i	−0.411811	−	1.80426i	−0.575561	−	0.817759i	$-0.695216\pi$
$823$	−11.8140	−	51.7606i	−0.411811	−	1.80426i	0.163750	−	0.986502i	$-0.447641\pi$
$824$	1.93687			0.0674740
$825$	2.69878	−	11.8241i	0.0939594	−	0.411663i
$826$	0.676109	−	0.325597i	0.0235248	−	0.0113290i
$827$	−6.97101	+	30.5420i	−0.242406	+	1.06205i	0.696414	+	0.717640i	$0.254778\pi$
$827$	−6.97101	+	30.5420i	−0.242406	+	1.06205i	−0.938820	+	0.344409i	$0.888079\pi$
$828$	7.20529	−	3.46988i	0.250401	−	0.120587i
$829$	−10.6055	−	13.2988i	−0.368343	−	0.461888i	0.562772	−	0.826612i	$-0.309735\pi$
$829$	−10.6055	−	13.2988i	−0.368343	−	0.461888i	−0.931116	+	0.364724i	$0.881163\pi$
$830$	−0.497718	−	0.239688i	−0.0172761	−	0.00831971i
$831$	−25.8717	+	12.4592i	−0.897480	+	0.432203i
$832$	0.931765	−	4.08233i	0.0323032	−	0.141529i
$833$	2.41564	−	10.5836i	0.0836970	−	0.366701i
$834$	−0.288483	+	0.361747i	−0.00998936	+	0.0125263i
$835$	10.9457	−	47.9562i	0.378791	−	1.65959i
$836$	7.76208	−	34.0079i	0.268457	−	1.17619i
$837$	1.49238	+	1.87138i	0.0515840	+	0.0646843i
$838$	−0.162800	−	0.713273i	−0.00562383	−	0.0246396i
$839$	−5.24283	−	22.9703i	−0.181003	−	0.793024i	−0.981154	−	0.193226i	$-0.938105\pi$
$839$	−5.24283	−	22.9703i	−0.181003	−	0.793024i	0.800152	−	0.599798i	$-0.204752\pi$
$840$	−1.04765	−	0.504522i	−0.0361474	−	0.0174077i
$841$	−14.7304	+	18.4714i	−0.507945	+	0.636943i
$842$	−0.165348	−	0.207340i	−0.00569828	−	0.00714542i
$843$	−17.6443	−	8.49706i	−0.607703	−	0.292654i
$844$	−16.8286	+	21.1024i	−0.579265	+	0.726375i
$845$	33.5258	+	16.1452i	1.15332	+	0.555411i
$846$	0.0366804	−	0.0459958i	0.00126110	−	0.00158137i
$847$	9.24470	−	4.45201i	0.317652	−	0.152973i
$848$	1.85859	+	0.895051i	0.0638244	+	0.0307362i
$849$	−37.6175	+	18.1156i	−1.29103	+	0.621727i
$850$	0.210588	−	0.264069i	0.00722310	−	0.00905749i
$851$	8.72476	+	38.2257i	0.299081	+	1.31036i
$852$	42.0236	+	20.2375i	1.43970	+	0.693325i
$853$	27.0062	−	33.8647i	0.924675	−	1.15951i	−0.0622066	−	0.998063i	$-0.519814\pi$
$853$	27.0062	−	33.8647i	0.924675	−	1.15951i	0.986882	−	0.161443i	$-0.0516148\pi$
$854$	−0.600242	+	0.289061i	−0.0205398	+	0.00989147i
$855$	2.37875	−	10.4220i	0.0813517	−	0.356425i
$856$	1.40810			0.0481280
$857$	44.7278			1.52787			0.763937	−	0.645291i	$-0.223264\pi$
$857$	44.7278			1.52787			0.763937	+	0.645291i	$0.223264\pi$
$858$	−0.0436827	−	0.0547764i	−0.00149130	−	0.00187004i
$859$	−14.6145	−	18.3260i	−0.498640	−	0.625275i	0.467282	−	0.884108i	$-0.345233\pi$
$859$	−14.6145	−	18.3260i	−0.498640	−	0.625275i	−0.965922	+	0.258834i	$0.916662\pi$
$860$	53.0254	−	25.5357i	1.80815	−	0.870759i
$861$	−2.11283	+	9.25692i	−0.0720051	+	0.315475i
$862$	0.190853	+	0.836182i	0.00650049	+	0.0284805i
$863$	12.2114	−	15.3126i	0.415681	−	0.521247i	−0.529273	−	0.848452i	$-0.677535\pi$
$863$	12.2114	−	15.3126i	0.415681	−	0.521247i	0.944954	+	0.327205i	$0.106107\pi$
$864$	1.60698	−	2.01509i	0.0546706	−	0.0685548i
$865$	−5.09522			−0.173243
$866$	−0.128503	−	0.563009i	−0.00436672	−	0.0191318i
$867$	11.0270	−	13.8274i	0.374496	−	0.469603i
$868$	−0.863367	+	1.08263i	−0.0293046	+	0.0367468i
$869$	3.01676	−	13.2173i	0.102337	−	0.448366i
$870$	0.380960	+	0.183461i	0.0129158	+	0.00621990i
$871$	0.309502			0.0104871
$872$	2.92619			0.0990933
$873$	−0.383391	+	1.67975i	−0.0129758	+	0.0568508i
$874$	−1.77842	+	2.23007i	−0.0601559	+	0.0754332i
$875$	−6.74685			−0.228085
$876$	4.34383	+	19.0316i	0.146765	+	0.643018i
$877$	40.7181	+	19.6088i	1.37495	+	0.662143i	0.967917	−	0.251269i	$-0.0808479\pi$
$877$	40.7181	+	19.6088i	1.37495	+	0.662143i	0.407036	+	0.913412i	$0.366562\pi$
$878$	−0.297748	−	1.30452i	−0.0100485	−	0.0440254i
$879$	−8.45036	+	37.0234i	−0.285023	+	1.24877i
$880$	−5.54877	+	24.3108i	−0.187049	+	0.819516i
$881$	35.3636			1.19143			0.595715	−	0.803196i	$-0.296869\pi$
$881$	35.3636			1.19143			0.595715	+	0.803196i	$0.296869\pi$
$882$	−0.0173244	−	0.0759033i	−0.000583344	−	0.00255580i
$883$	26.3413	+	33.0310i	0.886456	+	1.11158i	0.993098	+	0.117284i	$0.0374187\pi$
$883$	26.3413	+	33.0310i	0.886456	+	1.11158i	−0.106642	+	0.994297i	$0.534010\pi$
$884$	0.569432	+	2.49485i	0.0191521	+	0.0839107i
$885$	35.1260	+	44.0466i	1.18075	+	1.48061i
$886$	−0.288051	−	0.138718i	−0.00967727	−	0.00466033i
$887$	2.14700	+	1.03394i	0.0720891	+	0.0347163i	0.469581	−	0.882889i	$-0.344405\pi$
$887$	2.14700	+	1.03394i	0.0720891	+	0.0347163i	−0.397492	+	0.917606i	$0.630119\pi$
$888$	0.681583	+	0.854678i	0.0228724	+	0.0286811i
$889$	5.05903	+	22.1651i	0.169674	+	0.743393i
$890$	0.621129	+	0.778871i	0.0208203	+	0.0261078i
$891$	3.54542	+	15.5335i	0.118776	+	0.520391i
$892$	−27.1270			−0.908280
$893$	6.12381	−	26.8302i	0.204925	−	0.897837i
$894$	0.0734816	−	0.321944i	0.00245759	−	0.0107674i
$895$	15.6363	+	68.5072i	0.522664	+	2.28994i
$896$	1.79099	+	0.862494i	0.0598327	+	0.0288139i
$897$	−1.67198	−	7.32543i	−0.0558259	−	0.244589i
$898$	−0.835117			−0.0278682
$899$	0.628136	−	0.787658i	0.0209495	−	0.0262698i
$900$	−0.706943	+	3.09732i	−0.0235648	+	0.103244i
$901$	−1.25877			−0.0419357
$902$	−0.310855			−0.0103503
$903$	23.1108	+	11.1296i	0.769080	+	0.370369i
$904$	−0.250326	+	1.09675i	−0.00832571	+	0.0364773i
$905$	−8.19448	+	10.2756i	−0.272394	+	0.341571i
$906$	0.187522	−	0.235145i	0.00622999	−	0.00781217i
$907$	6.07788	+	26.6289i	0.201813	+	0.884200i	0.969832	+	0.243773i	$0.0783853\pi$
$907$	6.07788	+	26.6289i	0.201813	+	0.884200i	−0.768019	+	0.640427i	$0.778758\pi$
$908$	29.0688			0.964681
$909$	−0.917438	+	1.15043i	−0.0304295	+	0.0381574i
$910$	0.0596741	−	0.0748289i	0.00197818	−	0.00248055i
$911$	−6.27735	−	27.5029i	−0.207978	−	0.911211i	−0.965910	−	0.258877i	$-0.916647\pi$
$911$	−6.27735	−	27.5029i	−0.207978	−	0.911211i	0.757932	−	0.652333i	$-0.226210\pi$
$912$	11.5915	−	50.7855i	0.383832	−	1.68168i
$913$	−9.31454	+	4.48564i	−0.308266	+	0.148453i
$914$	−0.113258	−	0.142020i	−0.00374623	−	0.00469762i
$915$	−31.1844	−	39.1040i	−1.03093	−	1.29274i
$916$	−18.5587			−0.613196
$917$	−11.6787			−0.385666
$918$	−0.116507	+	0.510449i	−0.00384529	+	0.0168473i
$919$	−22.7952	+	10.9776i	−0.751944	+	0.362117i	−0.770273	−	0.637715i	$-0.779880\pi$
$919$	−22.7952	+	10.9776i	−0.751944	+	0.362117i	0.0183283	+	0.999832i	$0.494166\pi$
$920$	2.54554	−	3.19201i	0.0839240	−	0.105237i
$921$	33.5373	+	16.1507i	1.10509	+	0.532184i
$922$	0.00803418	+	0.0352001i	0.000264592	+	0.00115925i
$923$	−4.78914	+	6.00539i	−0.157636	+	0.197670i
$924$	−9.79939	+	4.71914i	−0.322376	+	0.155248i
$925$	−14.0334	−	6.75815i	−0.461417	−	0.222207i
$926$	−0.310947	+	0.149744i	−0.0102184	+	0.00492090i
$927$	3.46165	−	4.34077i	0.113695	−	0.142570i
$928$	−0.977388	−	0.470685i	−0.0320843	−	0.0154510i
$929$	21.2649	−	26.6653i	0.697679	−	0.874861i	−0.299169	−	0.954200i	$-0.596709\pi$
$929$	21.2649	−	26.6653i	0.697679	−	0.874861i	0.996848	+	0.0793387i	$0.0252809\pi$
$930$	0.0714144	+	0.0343913i	0.00234177	+	0.00112774i
$931$	−22.7072	−	28.4739i	−0.744199	−	0.933196i
$932$	−7.38627	+	9.26209i	−0.241945	+	0.303390i
$933$	21.9966	+	10.5930i	0.720136	+	0.346799i
$934$	−0.218088	−	0.955507i	−0.00713607	−	0.0312652i
$935$	−3.38585	−	14.8344i	−0.110729	−	0.485137i
$936$	0.0228940	+	0.0287082i	0.000748315	+	0.000938358i
$937$	−7.02331	+	30.7711i	−0.229442	+	1.00525i	0.720655	+	0.693294i	$0.243841\pi$
$937$	−7.02331	+	30.7711i	−0.229442	+	1.00525i	−0.950097	+	0.311956i	$0.899016\pi$
$938$	−0.00815193	+	0.0357159i	−0.000266170	+	0.00116617i
$939$	8.67714	−	10.8808i	0.283168	−	0.355081i
$940$	−4.38099	+	19.1944i	−0.142892	+	0.626051i
$941$	−8.46638	+	37.0937i	−0.275996	+	1.20922i	0.626810	+	0.779172i	$0.284360\pi$
$941$	−8.46638	+	37.0937i	−0.275996	+	1.20922i	−0.902807	+	0.430047i	$0.858497\pi$
$942$	0.319433	−	0.153831i	0.0104077	−	0.00501208i
$943$	−30.0364	−	14.4648i	−0.978119	−	0.471037i
$944$	−30.0015	−	37.6207i	−0.976465	−	1.22445i
$945$	−23.1397	+	11.1435i	−0.752734	+	0.362497i
$946$	−0.186870	+	0.818731i	−0.00607567	+	0.0266192i
$947$	19.7241	−	9.49864i	0.640948	−	0.308664i	−0.0850339	−	0.996378i	$-0.527100\pi$
$947$	19.7241	−	9.49864i	0.640948	−	0.308664i	0.725982	+	0.687714i	$0.241386\pi$
$948$	4.50851	−	19.7531i	0.146429	−	0.641549i
$949$	−3.21475			−0.104355
$950$	−0.252143	−	1.10471i	−0.00818061	−	0.0358416i
$951$	−30.7937	−	14.8295i	−0.998555	−	0.480879i
$952$	−0.606028			−0.0196415
$953$	30.4573	+	38.1923i	0.986609	+	1.23717i	0.971440	+	0.237283i	$0.0762570\pi$
$953$	30.4573	+	38.1923i	0.986609	+	1.23717i	0.0151685	+	0.999885i	$0.495172\pi$
$954$	−0.00813359	+	0.00391693i	−0.000263335	+	0.000126815i
$955$	22.7532	+	28.5316i	0.736276	+	0.923261i
$956$	4.44368	−	2.13996i	0.143719	−	0.0692113i
$957$	7.12946	−	3.43337i	0.230463	−	0.110985i
$958$	0.0858630	+	0.376190i	0.00277411	+	0.0121542i
$959$	7.15175	+	8.96802i	0.230942	+	0.289592i
$960$	−8.27989	+	36.2766i	−0.267232	+	1.17082i
$961$	−19.2104	+	24.0891i	−0.619691	+	0.777068i
$962$	−0.0810678	+	0.0390402i	−0.00261373	+	0.00125871i
$963$	2.51662	−	3.15574i	0.0810969	−	0.101692i
$964$	12.4005	+	15.5497i	0.399393	+	0.500823i
$965$	−34.9949			−1.12653
$966$	0.889379			0.0286153
$967$	−25.8914	−	12.4686i	−0.832610	−	0.400964i	−0.0315169	−	0.999503i	$-0.510034\pi$
$967$	−25.8914	−	12.4686i	−0.832610	−	0.400964i	−0.801094	+	0.598539i	$0.795748\pi$
$968$	0.626272	+	0.785320i	0.0201291	+	0.0252411i
$969$	7.07310	+	30.9893i	0.227221	+	0.995519i
$970$	0.0978263	+	0.428605i	0.00314101	+	0.0137617i
$971$	1.32321			0.0424639			0.0212320	−	0.999775i	$-0.493241\pi$
$971$	1.32321			0.0424639			0.0212320	+	0.999775i	$0.493241\pi$
$972$	−2.04952	−	8.97953i	−0.0657384	−	0.288019i
$973$	−10.6575	+	5.13237i	−0.341663	+	0.164536i
$974$	0.159072	−	0.0766050i	0.00509699	−	0.00245458i
$975$	2.68932	+	1.29511i	0.0861272	+	0.0414767i
$976$	26.6350	+	33.3992i	0.852564	+	1.06908i
$977$	2.38713	−	10.4587i	0.0763710	−	0.334603i	−0.922280	−	0.386522i	$-0.873676\pi$
$977$	2.38713	−	10.4587i	0.0763710	−	0.334603i	0.998651	+	0.0519185i	$0.0165336\pi$
$978$	1.04681	+	0.504119i	0.0334734	+	0.0161200i
$979$	18.6436			0.595852
$980$	16.2448	+	20.3703i	0.518921	+	0.650706i
$981$	5.22981	−	6.55797i	0.166975	−	0.209380i
$982$	1.00095	+	0.482033i	0.0319416	+	0.0153823i
$983$	21.6013	−	10.4027i	0.688976	−	0.331793i	−0.0564277	−	0.998407i	$-0.517971\pi$
$983$	21.6013	−	10.4027i	0.688976	−	0.331793i	0.745404	+	0.666613i	$0.232257\pi$
$984$	−0.929490			−0.0296310
$985$	−40.7838	+	4.65220i	−1.29948	+	0.148232i
$986$	0.220371			0.00701805
$987$	−7.73112	+	3.72311i	−0.246084	+	0.118508i
$988$	7.73488	+	3.72492i	0.246079	+	0.118506i
$989$	−56.1537	+	70.4145i	−1.78558	+	2.23905i
$990$	−0.0680383	−	0.0853173i	−0.00216240	−	0.00271156i
$991$	−5.88374			−0.186903			−0.0934516	−	0.995624i	$-0.529790\pi$
$991$	−5.88374			−0.186903			−0.0934516	+	0.995624i	$0.529790\pi$
$992$	−0.183220	−	0.0882341i	−0.00581724	−	0.00280144i
$993$	3.72395	−	16.3157i	0.118176	−	0.517762i
$994$	−0.566870	−	0.710833i	−0.0179800	−	0.0225462i
$995$	34.5391	+	16.6332i	1.09496	+	0.527307i
$996$	−13.9204	+	6.70373i	−0.441086	+	0.212416i
$997$	−34.3106	+	16.5231i	−1.08663	+	0.523292i	−0.889430	−	0.457072i	$-0.848898\pi$
$997$	−34.3106	+	16.5231i	−1.08663	+	0.523292i	−0.197197	+	0.980364i	$0.563184\pi$
$998$	0.000634119		0.00277826i	2.00727e−5		8.79442e-5i
$999$	24.1452			0.763919

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

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.2.d.a.36.9	✓	90
197.104	even	7	inner	197.2.d.a.104.9	yes	90

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.2.d.a.36.9	✓	90	1.1	even	1	trivial
197.2.d.a.104.9	yes	90	197.104	even	7	inner

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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	197.2.d.a.36.9

Level	$197$
Weight	$2$
Character	197.36
Analytic conductor	$1.573$
Analytic rank	$0$
Dimension	$90$
Inner twists	$2$