LMFDB - Embedded newform 147.2.o.b.110.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [147,2,Mod(5,147)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(147, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 29]))

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

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

chi := DirichletCharacter("147.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$147 = 3 \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	147.o (of order $42$ , degree $12$ , 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:	$1.17380090971$
Analytic rank:	$0$
Dimension:	$192$
Relative dimension:	$16$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			110.2
Character	$\chi$	$=$	147.110
Dual form			147.2.o.b.143.2

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.46186 - 2.14415i) q^{2} +(-1.02950 + 1.39288i) q^{3} +(-1.72967 + 4.40712i) q^{4} +(1.10117 + 0.339665i) q^{5} +(4.49153 + 0.171212i) q^{6} +(0.546234 - 2.58875i) q^{7} +(6.91803 - 1.57900i) q^{8} +(-0.880249 - 2.86795i) q^{9} +(-0.881456 - 2.85761i) q^{10} +(5.59962 - 0.419634i) q^{11} +(-4.35791 - 6.94637i) q^{12} +(-0.0947892 + 0.196832i) q^{13} +(-6.34918 + 2.61317i) q^{14} +(-1.60677 + 1.18411i) q^{15} +(-6.55765 - 6.08461i) q^{16} +(0.451975 + 0.0681243i) q^{17} +(-4.86252 + 6.07992i) q^{18} +(5.94393 + 3.43173i) q^{19} +(-3.40160 + 4.26547i) q^{20} +(3.04348 + 3.42597i) q^{21} +(-9.08559 - 11.3930i) q^{22} +(-0.603444 - 4.00359i) q^{23} +(-4.92277 + 11.2616i) q^{24} +(-3.03400 - 2.06854i) q^{25} +(0.560604 - 0.0844975i) q^{26} +(4.90094 + 1.72648i) q^{27} +(10.4641 + 6.88500i) q^{28} +(-0.840017 - 0.669891i) q^{29} +(4.88778 + 1.71415i) q^{30} +(2.31440 - 1.33622i) q^{31} +(-1.34478 + 8.92203i) q^{32} +(-5.18032 + 8.23163i) q^{33} +(-0.514654 - 1.06869i) q^{34} +(1.48080 - 2.66511i) q^{35} +(14.1620 + 1.08125i) q^{36} +(1.77577 + 4.52460i) q^{37} +(-1.33103 - 17.7614i) q^{38} +(-0.176578 - 0.334669i) q^{39} +(8.15424 + 0.611076i) q^{40} +(1.20210 + 5.26673i) q^{41} +(2.89665 - 11.5339i) q^{42} +(-0.115829 + 0.507482i) q^{43} +(-7.83611 + 25.4040i) q^{44} +(0.00484309 - 3.45709i) q^{45} +(-7.70214 + 7.14655i) q^{46} +(-2.58138 + 1.75995i) q^{47} +(15.2263 - 2.86992i) q^{48} +(-6.40326 - 2.82813i) q^{49} +9.52925i q^{50} +(-0.560199 + 0.559414i) q^{51} +(-0.703507 - 0.758201i) q^{52} +(-7.64604 - 3.00085i) q^{53} +(-3.46264 - 13.0322i) q^{54} +(6.30866 + 1.43991i) q^{55} +(-0.308763 - 18.7716i) q^{56} +(-10.8993 + 4.74623i) q^{57} +(-0.208362 + 2.78040i) q^{58} +(-0.109655 + 0.0338241i) q^{59} +(-2.43935 - 9.12935i) q^{60} +(-9.16942 + 3.59873i) q^{61} +(-6.24837 - 3.00906i) q^{62} +(-7.90524 + 0.712170i) q^{63} +(4.97645 - 2.39653i) q^{64} +(-0.171236 + 0.184548i) q^{65} +(25.2227 - 0.926076i) q^{66} +(0.326295 + 0.565160i) q^{67} +(-1.08200 + 1.87408i) q^{68} +(6.19778 + 3.28118i) q^{69} +(-7.87912 + 0.720946i) q^{70} +(5.08280 - 4.05339i) q^{71} +(-10.6181 - 18.4507i) q^{72} +(4.72744 - 6.93388i) q^{73} +(7.10549 - 10.4218i) q^{74} +(6.00475 - 2.09643i) q^{75} +(-25.4051 + 20.2599i) q^{76} +(1.97238 - 14.7252i) q^{77} +(-0.459448 + 0.867847i) q^{78} +(-4.12594 + 7.14633i) q^{79} +(-5.15434 - 8.92759i) q^{80} +(-7.45032 + 5.04903i) q^{81} +(9.53535 - 10.2767i) q^{82} +(12.1974 - 5.87395i) q^{83} +(-20.3629 + 7.48720i) q^{84} +(0.474561 + 0.228536i) q^{85} +(1.25744 - 0.493510i) q^{86} +(1.79788 - 0.480391i) q^{87} +(38.0757 - 11.7448i) q^{88} +(-0.548011 + 7.31270i) q^{89} +(-7.41959 + 5.04338i) q^{90} +(0.457771 + 0.352902i) q^{91} +(18.6881 + 4.26543i) q^{92} +(-0.521483 + 4.59933i) q^{93} +(7.54720 + 2.96206i) q^{94} +(5.37963 + 5.79786i) q^{95} +(-11.0429 - 11.0584i) q^{96} -11.5525i q^{97} +(3.29672 + 17.8638i) q^{98} +(-6.13255 - 15.6901i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$192 q - 14 q^{3} - 44 q^{4} - 28 q^{6} - 28 q^{7} - 26 q^{9} - 28 q^{10} + 21 q^{12} - 28 q^{13} - 10 q^{15} - 20 q^{16} - 3 q^{18} - 42 q^{19} - 14 q^{21} - 34 q^{22} - 14 q^{24} - 16 q^{25} + 7 q^{27}+ \cdots - 136 q^{99}+O(q^{100})$ 192 * q - 14 * q^3 - 44 * q^4 - 28 * q^6 - 28 * q^7 - 26 * q^9 - 28 * q^10 + 21 * q^12 - 28 * q^13 - 10 * q^15 - 20 * q^16 - 3 * q^18 - 42 * q^19 - 14 * q^21 - 34 * q^22 - 14 * q^24 - 16 * q^25 + 7 * q^27 - 70 * q^28 - q^30 - 42 * q^31 - 14 * q^33 + 28 * q^34 + 10 * q^36 + 46 * q^37 + 51 * q^39 + 112 * q^40 - 28 * q^42 - 36 * q^43 - 35 * q^45 + 148 * q^46 + 28 * q^49 - 20 * q^51 - 28 * q^52 - 14 * q^54 + 182 * q^55 + 2 * q^57 + 126 * q^58 - 132 * q^60 - 168 * q^61 - 119 * q^63 - 4 * q^64 - 42 * q^66 - 26 * q^67 + 70 * q^69 + 28 * q^70 + 6 * q^72 - 28 * q^73 - 140 * q^75 - 252 * q^76 + 36 * q^78 - 10 * q^79 + 134 * q^81 + 42 * q^82 + 56 * q^84 - 76 * q^85 + 98 * q^87 - 20 * q^88 + 175 * q^90 + 178 * q^93 + 322 * q^96 - 136 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/147\mathbb{Z}\right)^\times$ .

$n$	$50$	$52$
$\chi(n)$	$-1$	$e\left(\frac{11}{42}\right)$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	−1.46186	−	2.14415i	−1.03369	−	1.51614i	−0.845476	−	0.534013i	$-0.820683\pi$
$2$	−1.46186	−	2.14415i	−1.03369	−	1.51614i	−0.188212	−	0.982128i	$-0.560269\pi$
$3$	−1.02950	+	1.39288i	−0.594384	+	0.804182i
$3$	−1.02950	+	1.39288i	−0.594384	+	0.804182i
$4$	−1.72967	+	4.40712i	−0.864834	+	2.20356i
$5$	1.10117	+	0.339665i	0.492457	+	0.151903i	0.531030	−	0.847353i	$-0.321805\pi$
$5$	1.10117	+	0.339665i	0.492457	+	0.151903i	−0.0385730	+	0.999256i	$0.512281\pi$
$6$	4.49153	+	0.171212i	1.83366	+	0.0698970i
$7$	0.546234	−	2.58875i	0.206457	−	0.978456i
$7$	0.546234	−	2.58875i	0.206457	−	0.978456i
$8$	6.91803	−	1.57900i	2.44589	−	0.558259i
$9$	−0.880249	−	2.86795i	−0.293416	−	0.955985i
$10$	−0.881456	−	2.85761i	−0.278741	−	0.903655i
$11$	5.59962	−	0.419634i	1.68835	−	0.126524i	0.804394	−	0.594096i	$-0.202490\pi$
$11$	5.59962	−	0.419634i	1.68835	−	0.126524i	0.883955	+	0.467572i	$0.154871\pi$
$12$	−4.35791	−	6.94637i	−1.25802	−	2.00524i
$13$	−0.0947892	+	0.196832i	−0.0262898	+	0.0545913i	−0.913700	−	0.406389i	$-0.866788\pi$
$13$	−0.0947892	+	0.196832i	−0.0262898	+	0.0545913i	0.887410	+	0.460980i	$0.152502\pi$
$14$	−6.34918	+	2.61317i	−1.69689	+	0.698400i
$15$	−1.60677	+	1.18411i	−0.414866	+	0.305736i
$16$	−6.55765	−	6.08461i	−1.63941	−	1.52115i
$17$	0.451975	+	0.0681243i	0.109620	+	0.0165226i	0.203623	−	0.979049i	$-0.434728\pi$
$17$	0.451975	+	0.0681243i	0.109620	+	0.0165226i	−0.0940031	+	0.995572i	$0.529966\pi$
$18$	−4.86252	+	6.07992i	−1.14611	+	1.43305i
$19$	5.94393	+	3.43173i	1.36363	+	0.787293i	0.990105	−	0.140326i	$-0.0448151\pi$
$19$	5.94393	+	3.43173i	1.36363	+	0.787293i	0.373527	+	0.927619i	$0.378148\pi$
$20$	−3.40160	+	4.26547i	−0.760621	+	0.953789i
$21$	3.04348	+	3.42597i	0.664141	+	0.747607i
$22$	−9.08559	−	11.3930i	−1.93705	−	2.42899i
$23$	−0.603444	−	4.00359i	−0.125827	−	0.834807i	−0.959329	−	0.282290i	$-0.908906\pi$
$23$	−0.603444	−	4.00359i	−0.125827	−	0.834807i	0.833502	−	0.552516i	$-0.186332\pi$
$24$	−4.92277	+	11.2616i	−1.00486	+	2.29876i
$25$	−3.03400	−	2.06854i	−0.606799	−	0.413709i
$26$	0.560604	−	0.0844975i	0.109944	−	0.0165713i
$27$	4.90094	+	1.72648i	0.943187	+	0.332262i
$28$	10.4641	+	6.88500i	1.97754	+	1.30114i
$29$	−0.840017	−	0.669891i	−0.155987	−	0.124396i	0.542386	−	0.840129i	$-0.317521\pi$
$29$	−0.840017	−	0.669891i	−0.155987	−	0.124396i	−0.698373	+	0.715734i	$0.746092\pi$
$30$	4.88778	+	1.71415i	0.892382	+	0.312960i
$31$	2.31440	−	1.33622i	0.415679	−	0.239992i	−0.277548	−	0.960712i	$-0.589522\pi$
$31$	2.31440	−	1.33622i	0.415679	−	0.239992i	0.693227	+	0.720720i	$0.256188\pi$
$32$	−1.34478	+	8.92203i	−0.237726	+	1.57721i
$33$	−5.18032	+	8.23163i	−0.901779	+	1.43294i
$34$	−0.514654	−	1.06869i	−0.0882624	−	0.183279i
$35$	1.48080	−	2.66511i	0.250302	−	0.450486i
$36$	14.1620	+	1.08125i	2.36033	+	0.180208i
$37$	1.77577	+	4.52460i	0.291936	+	0.743840i	0.999315	+	0.0370057i	$0.0117820\pi$
$37$	1.77577	+	4.52460i	0.291936	+	0.743840i	−0.707380	+	0.706834i	$0.750123\pi$
$38$	−1.33103	−	17.7614i	−0.215922	−	2.88127i
$39$	−0.176578	−	0.334669i	−0.0282751	−	0.0535899i
$40$	8.15424	+	0.611076i	1.28930	+	0.0966196i
$41$	1.20210	+	5.26673i	0.187736	+	0.822524i	0.977807	+	0.209509i	$0.0671865\pi$
$41$	1.20210	+	5.26673i	0.187736	+	0.822524i	−0.790071	+	0.613015i	$0.789956\pi$
$42$	2.89665	−	11.5339i	0.446963	−	1.77972i
$43$	−0.115829	+	0.507482i	−0.0176638	+	0.0773903i	−0.982992	−	0.183650i	$-0.941209\pi$
$43$	−0.115829	+	0.507482i	−0.0176638	+	0.0773903i	0.965328	+	0.261041i	$0.0840657\pi$
$44$	−7.83611	+	25.4040i	−1.18134	+	3.82980i
$45$	0.00484309	−	3.45709i	0.000721965	−	0.515352i
$46$	−7.70214	+	7.14655i	−1.13562	+	1.05370i
$47$	−2.58138	+	1.75995i	−0.376532	+	0.256715i	−0.736768	−	0.676146i	$-0.763649\pi$
$47$	−2.58138	+	1.75995i	−0.376532	+	0.256715i	0.360235	+	0.932861i	$0.382696\pi$
$48$	15.2263	−	2.86992i	2.19772	−	0.414237i
$49$	−6.40326	−	2.82813i	−0.914751	−	0.404018i
$50$			9.52925i			1.34764i
$51$	−0.560199	+	0.559414i	−0.0784435	+	0.0783337i
$52$	−0.703507	−	0.758201i	−0.0975589	−	0.105144i
$53$	−7.64604	−	3.00085i	−1.05026	−	0.412198i	−0.223474	−	0.974710i	$-0.571740\pi$
$53$	−7.64604	−	3.00085i	−1.05026	−	0.412198i	−0.826789	+	0.562512i	$0.809835\pi$
$54$	−3.46264	−	13.0322i	−0.471205	−	1.77346i
$55$	6.30866	+	1.43991i	0.850659	+	0.194157i
$56$	−0.308763	−	18.7716i	−0.0412602	−	2.50845i
$57$	−10.8993	+	4.74623i	−1.44365	+	0.628654i
$58$	−0.208362	+	2.78040i	−0.0273593	+	0.365085i
$59$	−0.109655	+	0.0338241i	−0.0142759	+	0.00440353i	−0.301885	−	0.953344i	$-0.597616\pi$
$59$	−0.109655	+	0.0338241i	−0.0142759	+	0.00440353i	0.287609	+	0.957748i	$0.407140\pi$
$60$	−2.43935	−	9.12935i	−0.314919	−	1.17859i
$61$	−9.16942	+	3.59873i	−1.17402	+	0.460771i	−0.870555	−	0.492071i	$-0.836240\pi$
$61$	−9.16942	+	3.59873i	−1.17402	+	0.460771i	−0.303469	+	0.952841i	$0.598145\pi$
$62$	−6.24837	−	3.00906i	−0.793544	−	0.382151i
$63$	−7.90524	+	0.712170i	−0.995967	+	0.0897250i
$64$	4.97645	−	2.39653i	0.622056	−	0.299567i
$65$	−0.171236	+	0.184548i	−0.0212392	+	0.0228904i
$66$	25.2227	−	0.926076i	3.10470	−	0.113992i
$67$	0.326295	+	0.565160i	0.0398633	+	0.0690452i	0.885269	−	0.465080i	$-0.153974\pi$
$67$	0.326295	+	0.565160i	0.0398633	+	0.0690452i	−0.845405	+	0.534125i	$0.820641\pi$
$68$	−1.08200	+	1.87408i	−0.131212	+	0.227265i
$69$	6.19778	+	3.28118i	0.746125	+	0.395008i
$70$	−7.87912	+	0.720946i	−0.941735	+	0.0861695i
$71$	5.08280	−	4.05339i	0.603217	−	0.481049i	−0.273620	−	0.961838i	$-0.588221\pi$
$71$	5.08280	−	4.05339i	0.603217	−	0.481049i	0.876837	+	0.480789i	$0.159650\pi$
$72$	−10.6181	−	18.4507i	−1.25135	−	2.17443i
$73$	4.72744	−	6.93388i	0.553305	−	0.811550i	−0.443082	−	0.896481i	$-0.646115\pi$
$73$	4.72744	−	6.93388i	0.553305	−	0.811550i	0.996387	+	0.0849317i	$0.0270672\pi$
$74$	7.10549	−	10.4218i	0.825996	−	1.21151i
$75$	6.00475	−	2.09643i	0.693368	−	0.242075i
$76$	−25.4051	+	20.2599i	−2.91416	+	2.32397i
$77$	1.97238	−	14.7252i	0.224773	−	1.67810i
$78$	−0.459448	+	0.867847i	−0.0520223	+	0.0982643i
$79$	−4.12594	+	7.14633i	−0.464204	+	0.804025i	−0.999165	−	0.0408516i	$-0.986993\pi$
$79$	−4.12594	+	7.14633i	−0.464204	+	0.804025i	0.534961	+	0.844877i	$0.320326\pi$
$80$	−5.15434	−	8.92759i	−0.576273	−	0.998134i
$81$	−7.45032	+	5.04903i	−0.827814	+	0.561003i
$82$	9.53535	−	10.2767i	1.05300	−	1.13487i
$83$	12.1974	−	5.87395i	1.33884	−	0.644750i	0.379023	−	0.925387i	$-0.376260\pi$
$83$	12.1974	−	5.87395i	1.33884	−	0.644750i	0.959814	+	0.280637i	$0.0905457\pi$
$84$	−20.3629	+	7.48720i	−2.22177	+	0.816920i
$85$	0.474561	+	0.228536i	0.0514734	+	0.0247883i
$86$	1.25744	−	0.493510i	0.135594	−	0.0532165i
$87$	1.79788	−	0.480391i	0.192753	−	0.0515033i
$88$	38.0757	−	11.7448i	4.05889	−	1.25200i
$89$	−0.548011	+	7.31270i	−0.0580891	+	0.775145i	0.889761	+	0.456428i	$0.150871\pi$
$89$	−0.548011	+	7.31270i	−0.0580891	+	0.775145i	−0.947850	+	0.318718i	$0.896748\pi$
$90$	−7.41959	+	5.04338i	−0.782094	+	0.531619i
$91$	0.457771	+	0.352902i	0.0479875	+	0.0369941i
$92$	18.6881	+	4.26543i	1.94837	+	0.444702i
$93$	−0.521483	+	4.59933i	−0.0540753	+	0.476928i
$94$	7.54720	+	2.96206i	0.778434	+	0.305513i
$95$	5.37963	+	5.79786i	0.551938	+	0.594848i
$96$	−11.0429	−	11.0584i	−1.12706	−	1.12864i
$97$		−	11.5525i		−	1.17298i	−0.809957	−	0.586489i	$-0.800510\pi$
$97$		−	11.5525i		−	1.17298i	0.809957	−	0.586489i	$-0.199490\pi$
$98$	3.29672	+	17.8638i	0.333019	+	1.80452i
$99$	−6.13255	−	15.6901i	−0.616344	−	1.57691i
$100$	14.3641	−	9.79329i	1.43641	−	0.979329i
$101$	−13.1433	+	12.1952i	−1.30781	+	1.21347i	−0.346484	+	0.938056i	$0.612625\pi$
$101$	−13.1433	+	12.1952i	−1.30781	+	1.21347i	−0.961326	+	0.275415i	$0.911185\pi$
$102$	2.01840	+	0.383366i	0.199851	+	0.0379589i
$103$	−2.30781	+	7.48173i	−0.227395	+	0.737197i	0.767923	+	0.640542i	$0.221290\pi$
$103$	−2.30781	+	7.48173i	−0.227395	+	0.737197i	−0.995318	+	0.0966545i	$0.969186\pi$
$104$	−0.344958	+	1.51136i	−0.0338259	+	0.148201i
$105$	2.18770	+	4.80633i	0.213498	+	0.469050i
$106$	4.74314	+	20.7810i	0.460694	+	2.01843i
$107$	−12.6174	−	0.945542i	−1.21977	−	0.0914090i	−0.550760	−	0.834664i	$-0.685662\pi$
$107$	−12.6174	−	0.945542i	−1.21977	−	0.0914090i	−0.669008	+	0.743255i	$0.733281\pi$
$108$	−16.0858	+	18.6128i	−1.54786	+	1.79102i
$109$	−0.991390	−	13.2292i	−0.0949580	−	1.26713i	−0.817553	−	0.575854i	$-0.804670\pi$
$109$	−0.991390	−	13.2292i	−0.0949580	−	1.26713i	0.722595	−	0.691272i	$-0.242949\pi$
$110$	−6.13496	−	15.6316i	−0.584946	−	1.49042i
$111$	−8.13040	−	2.18464i	−0.771704	−	0.207357i
$112$	−19.3336	+	13.6525i	−1.82685	+	1.29004i
$113$	2.67432	+	5.55327i	0.251578	+	0.522408i	0.988064	−	0.154045i	$-0.0492302\pi$
$113$	2.67432	+	5.55327i	0.251578	+	0.522408i	−0.736485	+	0.676454i	$0.763516\pi$
$114$	26.1098	+	16.4314i	2.44541	+	1.53894i
$115$	0.695388	−	4.61360i	0.0648452	−	0.430220i
$116$	4.40524	−	2.54337i	0.409016	−	0.236146i
$117$	0.647942	+	0.0985901i	0.0599023	+	0.00911466i
$118$	0.232824	+	0.185671i	0.0214332	+	0.0170924i
$119$	0.423241	−	1.13284i	0.0387984	−	0.103847i
$120$	−9.24597	+	10.7288i	−0.844038	+	0.979402i
$121$	20.3025	−	3.06011i	1.84568	−	0.278192i
$122$	21.1206	+	14.3998i	1.91217	+	1.30369i
$123$	−8.57350	−	3.74773i	−0.773046	−	0.337921i
$124$	1.88574	+	12.5111i	0.169344	+	1.12353i
$125$	−6.23076	−	7.81313i	−0.557296	−	0.698828i
$126$	13.0833	+	15.9089i	1.16555	+	1.41728i
$127$	−8.78489	+	11.0159i	−0.779532	+	0.977503i	0.220465	+	0.975395i	$0.429242\pi$
$127$	−8.78489	+	11.0159i	−0.779532	+	0.977503i	−0.999998	+	0.00210801i	$0.999329\pi$
$128$	3.21458	+	1.85594i	0.284132	+	0.164044i
$129$	−0.587617	−	0.683791i	−0.0517368	−	0.0602044i
$130$	0.646020	+	0.0973719i	0.0566597	+	0.00854008i
$131$	−2.95772	−	2.74436i	−0.258417	−	0.239776i	0.540315	−	0.841463i	$-0.318305\pi$
$131$	−2.95772	−	2.74436i	−0.258417	−	0.239776i	−0.798732	+	0.601687i	$0.794495\pi$
$132$	−27.3176	−	37.0683i	−2.37769	−	3.22638i
$133$	12.1307	−	13.5128i	1.05186	−	1.17171i
$134$	0.734790	−	1.52581i	0.0634762	−	0.131810i
$135$	4.81034	+	3.56583i	0.414008	+	0.306898i
$136$	3.23434	−	0.242381i	0.277343	−	0.0207840i
$137$	−0.329639	−	1.06866i	−0.0281629	−	0.0913020i	0.940400	−	0.340070i	$-0.110451\pi$
$137$	−0.329639	−	1.06866i	−0.0281629	−	0.0913020i	−0.968563	+	0.248768i	$0.919974\pi$
$138$	−2.02493	−	18.0856i	−0.172373	−	1.53955i
$139$	12.3574	−	2.82050i	1.04814	−	0.239232i	0.336434	−	0.941707i	$-0.390779\pi$
$139$	12.3574	−	2.82050i	1.04814	−	0.239232i	0.711708	+	0.702475i	$0.247922\pi$
$140$	9.18417	+	11.1358i	0.776204	+	0.941150i
$141$	0.206125	−	5.40743i	0.0173588	−	0.455388i
$142$	−16.1214	−	4.97279i	−1.35288	−	0.417307i
$143$	−0.448186	+	1.14196i	−0.0374792	+	0.0954955i
$144$	−11.6780	+	24.1630i	−0.973169	+	2.01358i
$145$	−0.697461	−	1.02299i	−0.0579210	−	0.0849544i
$146$	−21.7781			−1.80237
$147$	10.5314	−	6.00743i	0.868617	−	0.495484i
$148$	−23.0120			−1.89157
$149$	0.670371	+	0.983254i	0.0549189	+	0.0805513i	0.852716	−	0.522375i	$-0.174954\pi$
$149$	0.670371	+	0.983254i	0.0549189	+	0.0805513i	−0.797797	+	0.602926i	$0.794001\pi$
$150$	−13.2731	−	9.81038i	−1.08375	−	0.801015i
$151$	0.919948	−	2.34399i	0.0748643	−	0.190751i	−0.888543	−	0.458794i	$-0.848282\pi$
$151$	0.919948	−	2.34399i	0.0748643	−	0.190751i	0.963407	+	0.268043i	$0.0863769\pi$
$152$	46.5390	+	14.3554i	3.77481	+	1.16438i
$153$	−0.202473	−	1.35621i	−0.0163690	−	0.109643i
$154$	−34.4564	+	17.2971i	−2.77658	+	1.39384i
$155$	3.00241	−	0.685281i	0.241159	−	0.0550431i
$156$	1.78035	−	0.199334i	0.142542	−	0.0159595i
$157$	3.73858	+	12.1202i	0.298372	+	0.967297i	0.973324	+	0.229435i	$0.0736880\pi$
$157$	3.73858	+	12.1202i	0.298372	+	0.967297i	−0.674952	+	0.737861i	$0.735836\pi$
$158$	21.3543	−	1.60028i	1.69886	−	0.127312i
$159$	12.0514	−	7.56066i	0.955742	−	0.599599i
$160$	−4.51133	+	9.36787i	−0.356652	+	0.740595i
$161$	−10.6939	−	0.624730i	−0.842799	−	0.0492356i
$162$	21.7172	+	8.59365i	1.70626	+	0.675181i
$163$	−7.28678	−	6.76114i	−0.570745	−	0.529574i	0.341144	−	0.940011i	$-0.389186\pi$
$163$	−7.28678	−	6.76114i	−0.570745	−	0.529574i	−0.911889	+	0.410437i	$0.865376\pi$
$164$	−25.2903	−	3.81190i	−1.97484	−	0.297660i
$165$	−8.50041	+	7.30483i	−0.661756	+	0.568681i
$166$	−30.4254	−	17.5661i	−2.36147	−	1.36340i
$167$	−7.78008	+	9.75591i	−0.602041	+	0.754935i	−0.985695	−	0.168542i	$-0.946094\pi$
$167$	−7.78008	+	9.75591i	−0.602041	+	0.754935i	0.383654	+	0.923477i	$0.374666\pi$
$168$	26.4645	+	18.8953i	2.04178	+	1.45780i
$169$	8.07561	+	10.1265i	0.621201	+	0.778961i
$170$	−0.203723	−	1.35162i	−0.0156249	−	0.103664i
$171$	4.60991	−	20.0677i	0.352529	−	1.53462i
$172$	−2.03619	−	1.38825i	−0.155258	−	0.105853i
$173$	−9.33675	+	1.40729i	−0.709860	+	0.106994i	−0.494040	−	0.869439i	$-0.664480\pi$
$173$	−9.33675	+	1.40729i	−0.709860	+	0.106994i	−0.215820	+	0.976433i	$0.569242\pi$
$174$	−3.65827	−	3.15266i	−0.277333	−	0.239002i
$175$	−7.01221	+	6.72435i	−0.530073	+	0.508313i
$176$	−39.2737	−	31.3197i	−2.96036	−	2.36081i
$177$	0.0657772	−	0.187559i	0.00494412	−	0.0140978i
$178$	16.4806	−	9.51510i	1.23528	−	0.713187i
$179$	−0.923212	+	6.12511i	−0.0690041	+	0.457812i	0.927469	+	0.373900i	$0.121980\pi$
$179$	−0.923212	+	6.12511i	−0.0690041	+	0.457812i	−0.996473	+	0.0839123i	$0.973258\pi$
$180$	15.2274	+	6.00096i	1.13499	+	0.447285i
$181$	4.89174	+	10.1578i	0.363600	+	0.755024i	0.999865	−	0.0164473i	$-0.00523556\pi$
$181$	4.89174	+	10.1578i	0.363600	+	0.755024i	−0.636264	+	0.771471i	$0.719521\pi$
$182$	0.0874781	−	1.49742i	0.00648431	−	0.110996i
$183$	4.42733	−	16.4768i	0.327278	−	1.21800i
$184$	−10.4963	−	26.7441i	−0.773797	−	1.97160i
$185$	0.418576	+	5.58551i	0.0307743	+	0.410655i
$186$	10.6240	−	5.60542i	0.778988	−	0.411009i
$187$	2.55948	+	0.191806i	0.187167	+	0.0140263i
$188$	−3.29140	−	14.4206i	−0.240050	−	1.05173i
$189$	7.14649	−	11.7443i	0.519831	−	0.854269i
$190$	4.56723	−	20.0104i	0.331342	−	1.45170i
$191$	4.94312	−	16.0252i	0.357672	−	1.15954i	−0.580759	−	0.814075i	$-0.697244\pi$
$191$	4.94312	−	16.0252i	0.357672	−	1.15954i	0.938431	−	0.345467i	$-0.112280\pi$
$192$	−1.78518	+	9.39885i	−0.128834	+	0.678304i
$193$	−6.27820	+	5.82532i	−0.451915	+	0.419316i	−0.873011	−	0.487700i	$-0.837836\pi$
$193$	−6.27820	+	5.82532i	−0.451915	+	0.419316i	0.421096	+	0.907016i	$0.361645\pi$
$194$	−24.7703	+	16.8881i	−1.77840	+	1.21249i
$195$	−0.0807665	−	0.428504i	−0.00578381	−	0.0306858i
$196$	23.5394	−	23.3282i	1.68139	−	1.66630i
$197$			3.38283i			0.241017i	0.992712	+	0.120508i	$0.0384524\pi$
$197$			3.38283i			0.241017i	−0.992712	+	0.120508i	$0.961548\pi$
$198$	−24.6769	+	36.0857i	−1.75371	+	2.56450i
$199$	−5.26044	−	5.66940i	−0.372902	−	0.401893i	0.518521	−	0.855065i	$-0.326483\pi$
$199$	−5.26044	−	5.66940i	−0.372902	−	0.401893i	−0.891423	+	0.453172i	$0.850292\pi$
$200$	−24.2555	−	9.51958i	−1.71512	−	0.673136i
$201$	−1.12312	−	0.127342i	−0.0792190	−	0.00898203i
$202$	45.3620	+	10.3536i	3.19166	+	0.728476i
$203$	−2.19303	+	1.80868i	−0.153920	+	0.126944i
$204$	−1.49645	−	3.43646i	−0.104772	−	0.240601i
$205$	−0.465215	+	6.20786i	−0.0324920	+	0.433576i
$206$	19.4156	−	5.98892i	1.35275	−	0.417268i
$207$	−10.9509	+	5.25481i	−0.761143	+	0.365234i
$208$	1.81924	−	0.713999i	0.126141	−	0.0495069i
$209$	34.7238	+	16.7221i	2.40190	+	1.15669i
$210$	7.10738	−	11.7169i	0.490456	−	0.808543i
$211$	11.1533	−	5.37116i	0.767827	−	0.369766i	−0.00860838	−	0.999963i	$-0.502740\pi$
$211$	11.1533	−	5.37116i	0.767827	−	0.369766i	0.776435	+	0.630197i	$0.217026\pi$
$212$	26.4502	−	28.5065i	1.81661	−	1.95784i
$213$	0.413154	+	11.2527i	0.0283089	+	0.771024i
$214$	16.4174	+	28.4358i	1.12227	+	1.94383i
$215$	−0.299922	+	0.519480i	−0.0204545	+	0.0354282i
$216$	36.6310	+	4.20529i	2.49242	+	0.286134i
$217$	−2.19494	−	6.72129i	−0.149002	−	0.456271i
$218$	−26.9161	+	21.4648i	−1.82299	+	1.45378i
$219$	4.79118	+	13.7232i	0.323758	+	0.927330i
$220$	−17.2577	+	25.3125i	−1.16352	+	1.70657i
$221$	−0.0562513	+	0.0825056i	−0.00378387	+	0.00554992i
$222$	7.20128	+	20.6264i	0.483319	+	1.38435i
$223$	−14.7486	+	11.7616i	−0.987642	+	0.787618i	−0.977199	−	0.212328i	$-0.931896\pi$
$223$	−14.7486	+	11.7616i	−0.987642	+	0.787618i	−0.0104430	+	0.999945i	$0.503324\pi$
$224$	22.3623	+	8.35481i	1.49415	+	0.558229i
$225$	−3.26182	+	10.5222i	−0.217454	+	0.701480i
$226$	7.99758	−	13.8522i	0.531991	−	0.921436i
$227$	9.68509	+	16.7751i	0.642822	+	1.11340i	0.984800	+	0.173693i	$0.0555700\pi$
$227$	9.68509	+	16.7751i	0.642822	+	1.11340i	−0.341978	+	0.939708i	$0.611097\pi$
$228$	−2.06505	−	56.2439i	−0.136761	−	3.72485i
$229$	5.11683	−	5.51463i	0.338130	−	0.364417i	−0.540981	−	0.841035i	$-0.681947\pi$
$229$	5.11683	−	5.51463i	0.338130	−	0.364417i	0.879111	+	0.476618i	$0.158137\pi$
$230$	−10.9088	+	5.25340i	−0.719304	+	0.346399i
$231$	18.4800	+	17.9070i	1.21589	+	1.17819i
$232$	−6.86902	−	3.30794i	−0.450973	−	0.217177i
$233$	−10.4683	+	4.10852i	−0.685804	+	0.269158i	−0.682553	−	0.730836i	$-0.739130\pi$
$233$	−10.4683	+	4.10852i	−0.685804	+	0.269158i	−0.00325145	+	0.999995i	$0.501035\pi$
$234$	−0.735806	−	1.53341i	−0.0481012	−	0.100242i
$235$	−3.44032	+	1.06120i	−0.224422	+	0.0692250i
$236$	0.0405999	−	0.541768i	0.00264283	−	0.0352661i
$237$	−5.70634	−	13.1041i	−0.370667	−	0.851204i
$238$	−3.04769	+	0.748555i	−0.197552	+	0.0485216i
$239$	−10.5905	−	2.41722i	−0.685046	−	0.156357i	−0.134187	−	0.990956i	$-0.542842\pi$
$239$	−10.5905	−	2.41722i	−0.685046	−	0.156357i	−0.550858	+	0.834599i	$0.685700\pi$
$240$	17.7415	+	2.01157i	1.14521	+	0.129846i
$241$	−15.3729	−	6.03340i	−0.990253	−	0.388646i	−0.185752	−	0.982597i	$-0.559472\pi$
$241$	−15.3729	−	6.03340i	−0.990253	−	0.388646i	−0.804501	+	0.593951i	$0.797567\pi$
$242$	−36.2407	−	39.0582i	−2.32964	−	2.51075i
$243$	0.637424	−	15.5754i	0.0408908	−	0.999164i
$244$		−	46.6354i		−	2.98552i
$245$	−6.09045	−	5.28921i	−0.389104	−	0.337915i
$246$	4.49753	+	23.8615i	0.286752	+	1.52135i
$247$	−1.23889	+	0.844664i	−0.0788289	+	0.0537447i
$248$	13.9012	−	12.8984i	0.882728	−	0.819051i
$249$	−4.37551	+	23.0368i	−0.277287	+	1.45990i
$250$	−7.64403	+	24.7813i	−0.483451	+	1.56731i
$251$	0.971002	−	4.25424i	0.0612891	−	0.268525i	−0.934994	−	0.354663i	$-0.884596\pi$
$251$	0.971002	−	4.25424i	0.0612891	−	0.268525i	0.996283	+	0.0861382i	$0.0274527\pi$
$252$	10.5348	−	36.0712i	0.663631	−	2.27227i
$253$	−5.05910	−	22.1654i	−0.318063	−	1.39352i
$254$	36.4619	+	2.73245i	2.28783	+	0.171449i
$255$	−0.806886	+	0.425729i	−0.0505292	+	0.0266602i
$256$	−1.54538	−	20.6217i	−0.0965862	−	1.28885i
$257$	8.50543	+	21.6715i	0.530554	+	1.35183i	0.905328	+	0.424714i	$0.139625\pi$
$257$	8.50543	+	21.6715i	0.530554	+	1.35183i	−0.374773	+	0.927117i	$0.622279\pi$
$258$	−0.607139	+	2.25954i	−0.0377988	+	0.140673i
$259$	12.6830	−	2.12555i	0.788086	−	0.132075i
$260$	−0.517145	−	1.07386i	−0.0320720	−	0.0665982i
$261$	−1.18179	+	2.99880i	−0.0731512	+	0.185621i
$262$	−1.56056	+	10.3536i	−0.0964117	+	0.639650i
$263$	12.8676	−	7.42910i	0.793449	−	0.458098i	−0.0477263	−	0.998860i	$-0.515198\pi$
$263$	12.8676	−	7.42910i	0.793449	−	0.458098i	0.841175	+	0.540762i	$0.181864\pi$
$264$	−22.8399	+	65.1264i	−1.40570	+	4.00825i
$265$	−7.40029	−	5.90153i	−0.454596	−	0.362528i
$266$	−46.7068	−	6.25615i	−2.86378	−	0.383589i
$267$	−9.62157	−	8.29176i	−0.588830	−	0.507448i
$268$	−3.05511	+	0.460484i	−0.186620	+	0.0281285i
$269$	−16.1799	−	11.0313i	−0.986509	−	0.672590i	−0.0413306	−	0.999146i	$-0.513160\pi$
$269$	−16.1799	−	11.0313i	−0.986509	−	0.672590i	−0.945178	+	0.326555i	$0.894112\pi$
$270$	0.613648	−	15.5268i	0.0373454	−	0.944931i
$271$	1.79397	+	11.9022i	0.108976	+	0.723007i	0.974869	+	0.222779i	$0.0715127\pi$
$271$	1.79397	+	11.9022i	0.108976	+	0.723007i	−0.865893	+	0.500229i	$0.833249\pi$
$272$	−2.54938	−	3.19683i	−0.154579	−	0.193836i
$273$	−0.962827	+	0.274309i	−0.0582730	+	0.0166019i
$274$	−1.80949	+	2.26903i	−0.109315	+	0.137077i
$275$	−17.8573	−	10.3099i	−1.07683	−	0.621710i
$276$	−25.1807	+	21.6390i	−1.51570	+	1.30252i
$277$	9.80456	+	1.47780i	0.589099	+	0.0887924i	0.436826	−	0.899546i	$-0.356103\pi$
$277$	9.80456	+	1.47780i	0.589099	+	0.0887924i	0.152273	+	0.988338i	$0.451341\pi$
$278$	−24.1123	−	22.3730i	−1.44616	−	1.34184i
$279$	−5.86946	−	5.46139i	−0.351396	−	0.326965i
$280$	6.03605	−	20.7755i	0.360723	−	1.24157i
$281$	1.12261	−	2.33112i	0.0669693	−	0.139063i	−0.864797	−	0.502121i	$-0.832553\pi$
$281$	1.12261	−	2.33112i	0.0669693	−	0.139063i	0.931766	+	0.363058i	$0.118267\pi$
$282$	−11.8957	+	7.46292i	−0.708376	+	0.444410i
$283$	−30.3218	+	2.27231i	−1.80245	+	0.135075i	−0.933212	−	0.359326i	$-0.883007\pi$
$283$	−30.3218	+	2.27231i	−1.80245	+	0.135075i	−0.869234	+	0.494400i	$0.835388\pi$
$284$	9.07225	+	29.4115i	0.538339	+	1.74525i
$285$	−13.6141	+	1.52428i	−0.806429	+	0.0902907i
$286$	3.10371	−	0.708402i	0.183526	−	0.0418887i
$287$	14.2909	−	0.235062i	0.843563	−	0.0138753i
$288$	26.7717	−	3.99684i	1.57754	−	0.235516i
$289$	−16.0451	−	4.94926i	−0.943829	−	0.291133i
$290$	−1.17385	+	2.99092i	−0.0689308	+	0.175633i
$291$	16.0913	+	11.8933i	0.943287	+	0.697199i
$292$	22.3816	+	32.8277i	1.30978	+	1.92110i
$293$	21.7097			1.26830			0.634148	−	0.773211i	$-0.281351\pi$
$293$	21.7097			1.26830			0.634148	+	0.773211i	$0.281351\pi$
$294$	−28.2762	−	13.7989i	−1.64910	−	0.804770i
$295$	−0.132238			−0.00769917
$296$	19.4292	+	28.4974i	1.12930	+	1.65638i
$297$	28.1679	+	7.61105i	1.63447	+	0.441638i
$298$	1.12826	−	2.87475i	0.0653581	−	0.166530i
$299$	0.845234	+	0.260720i	0.0488811	+	0.0150778i
$300$	−1.14699	+	30.0898i	−0.0662213	+	1.73723i
$301$	1.25047	+	0.577057i	0.0720761	+	0.0332610i
$302$	−6.37069	+	1.45407i	−0.366592	+	0.0836722i
$303$	−3.45544	−	30.8621i	−0.198510	−	1.77298i
$304$	−18.0975	−	58.6706i	−1.03796	−	3.36499i
$305$	−11.3194	+	0.848275i	−0.648149	+	0.0485721i
$306$	−2.61193	+	2.41671i	−0.149314	+	0.138154i
$307$	−12.8834	+	26.7527i	−0.735296	+	1.52686i	0.110810	+	0.993842i	$0.464656\pi$
$307$	−12.8834	+	26.7527i	−0.735296	+	1.52686i	−0.846105	+	0.533015i	$0.821059\pi$
$308$	61.4844	+	34.1623i	3.50340	+	1.94658i
$309$	−8.04528	−	10.9170i	−0.457680	−	0.621045i
$310$	−5.85843	−	5.43583i	−0.332737	−	0.308734i
$311$	−5.55788	−	0.837715i	−0.315158	−	0.0475025i	−0.0104415	−	0.999945i	$-0.503324\pi$
$311$	−5.55788	−	0.837715i	−0.315158	−	0.0475025i	−0.304717	+	0.952443i	$0.598562\pi$
$312$	−1.75001	−	2.03643i	−0.0990749	−	0.115290i
$313$	0.808502	+	0.466789i	0.0456992	+	0.0263845i	0.522676	−	0.852532i	$-0.324934\pi$
$313$	0.808502	+	0.466789i	0.0456992	+	0.0263845i	−0.476976	+	0.878916i	$0.658267\pi$
$314$	20.5222	−	25.7341i	1.15814	−	1.45226i
$315$	−8.94690	−	1.90092i	−0.504100	−	0.107105i
$316$	−24.3582	−	30.5443i	−1.37026	−	1.71825i
$317$	−1.07357	−	7.12266i	−0.0602976	−	0.400048i	−0.998538	−	0.0540630i	$-0.982783\pi$
$317$	−1.07357	−	7.12266i	−0.0602976	−	0.400048i	0.938240	−	0.345985i	$-0.112455\pi$
$318$	−33.8286	−	14.7875i	−1.89702	−	0.829242i
$319$	−4.98488	−	3.39864i	−0.279100	−	0.190287i
$320$	6.29393	−	0.948657i	0.351841	−	0.0530315i
$321$	14.3067	−	16.6011i	0.798520	−	0.926583i
$322$	14.2935	+	23.8426i	0.796543	+	1.32870i
$323$	2.45273	+	1.95598i	0.136473	+	0.108834i
$324$	−9.36508	−	41.5676i	−0.520282	−	2.30931i
$325$	0.694745	−	0.401111i	0.0385375	−	0.0222496i
$326$	−3.84467	+	25.5077i	−0.212937	+	1.41274i
$327$	19.4474	+	12.2386i	1.07544	+	0.676796i
$328$	16.6323	+	34.5373i	0.918364	+	1.90700i
$329$	3.14604	+	7.64388i	0.173447	+	0.421421i
$330$	28.0890	+	7.54752i	1.54625	+	0.415477i
$331$	2.89872	+	7.38583i	0.159328	+	0.405962i	0.988138	−	0.153569i	$-0.0490767\pi$
$331$	2.89872	+	7.38583i	0.159328	+	0.405962i	−0.828810	+	0.559531i	$0.810981\pi$
$332$	4.78979	+	63.9154i	0.262874	+	3.50781i
$333$	11.4132	−	9.07561i	0.625441	−	0.497341i
$334$	32.2915	+	2.41991i	1.76691	+	0.132412i
$335$	0.167341	+	0.733167i	0.00914279	+	0.0400572i
$336$	0.887597	−	40.9847i	0.0484224	−	2.23590i
$337$	0.00314224	−	0.0137671i	0.000171169	−	0.000749939i	−0.974842	−	0.222896i	$-0.928449\pi$
$337$	0.00314224	−	0.0137671i	0.000171169	−	0.000749939i	0.975013	+	0.222146i	$0.0713061\pi$
$338$	9.90733	−	32.1188i	0.538888	−	1.74703i
$339$	−10.4883	−	1.99210i	−0.569645	−	0.108196i
$340$	−1.82802	+	1.69616i	−0.0991383	+	0.0919869i
$341$	12.3990	−	8.45352i	0.671446	−	0.457784i
$342$	−49.7672	+	19.4518i	−2.69110	+	1.05183i
$343$	−10.8190	+	15.0316i	−0.584170	+	0.811631i
$344$			3.69367i			0.199149i
$345$	5.71030	+	5.71830i	0.307432	+	0.307863i
$346$	16.6664	+	17.9621i	0.895992	+	0.965650i
$347$	15.8980	+	6.23951i	0.853451	+	0.334955i	0.751418	−	0.659826i	$-0.229370\pi$
$347$	15.8980	+	6.23951i	0.853451	+	0.334955i	0.102033	+	0.994781i	$0.467465\pi$
$348$	−0.992593	+	8.75439i	−0.0532086	+	0.469284i
$349$	−26.1790	−	5.97518i	−1.40133	−	0.319844i	−0.545938	−	0.837826i	$-0.683826\pi$
$349$	−26.1790	−	5.97518i	−1.40133	−	0.319844i	−0.855392	+	0.517982i	$0.826684\pi$
$350$	24.6688	+	5.20520i	1.31861	+	0.278229i
$351$	−0.804383	+	0.801009i	−0.0429348	+	0.0427547i
$352$	−3.78627	+	50.5243i	−0.201809	+	2.69295i
$353$	3.19502	−	0.985534i	0.170054	−	0.0524547i	−0.208559	−	0.978010i	$-0.566877\pi$
$353$	3.19502	−	0.985534i	0.170054	−	0.0524547i	0.378613	+	0.925555i	$0.376401\pi$
$354$	−0.498311	+	0.133148i	−0.0264849	+	0.00707673i
$355$	6.97381	−	2.73702i	0.370131	−	0.145266i
$356$	−31.2801	−	15.0637i	−1.65784	−	0.798375i
$357$	1.14218	+	1.75579i	0.0604508	+	0.0929260i
$358$	14.4827	−	6.97452i	0.765437	−	0.368615i
$359$	0.390245	−	0.420584i	0.0205963	−	0.0221976i	−0.722670	−	0.691194i	$-0.757085\pi$
$359$	0.390245	−	0.420584i	0.0205963	−	0.0221976i	0.743266	+	0.668996i	$0.233276\pi$
$360$	−5.42522	−	23.9239i	−0.285934	−	1.26090i
$361$	14.0536	+	24.3415i	0.739662	+	1.28113i
$362$	14.6288	−	25.3379i	0.768874	−	1.33173i
$363$	−16.6391	+	31.4294i	−0.873327	+	1.64962i
$364$	−2.34707	+	1.40705i	−0.123020	+	0.0737495i
$365$	7.56091	−	6.02962i	0.395756	−	0.315605i
$366$	−41.8009	+	14.5939i	−2.18497	+	0.762836i
$367$	10.7412	−	15.7545i	0.560687	−	0.822377i	−0.436311	−	0.899796i	$-0.643715\pi$
$367$	10.7412	−	15.7545i	0.560687	−	0.822377i	0.996999	+	0.0774184i	$0.0246677\pi$
$368$	−20.4031	+	29.9259i	−1.06359	+	1.55999i
$369$	14.0466	−	8.08358i	0.731236	−	0.420815i
$370$	11.3643	−	9.06270i	0.590800	−	0.471147i
$371$	−11.9450	+	18.1545i	−0.620152	+	0.942535i
$372$	−19.3678	−	10.2536i	−1.00417	−	0.531622i
$373$	−13.3498	+	23.1226i	−0.691228	+	1.19724i	0.280207	+	0.959939i	$0.409597\pi$
$373$	−13.3498	+	23.1226i	−0.691228	+	1.19724i	−0.971436	+	0.237303i	$0.923737\pi$
$374$	−3.33032	−	5.76829i	−0.172207	−	0.298271i
$375$	17.2974	−	0.635089i	0.893232	−	0.0327959i
$376$	−15.0791	+	16.2514i	−0.777644	+	0.838101i
$377$	0.211480	−	0.101844i	0.0108918	−	0.00524521i
$378$	−35.6286	+	1.84527i	−1.83254	+	0.0949102i
$379$	20.3993	+	9.82379i	1.04784	+	0.504614i	0.876903	−	0.480667i	$-0.159605\pi$
$379$	20.3993	+	9.82379i	1.04784	+	0.504614i	0.170939	+	0.985282i	$0.445320\pi$
$380$	−34.8569	+	13.6803i	−1.78812	+	0.701785i
$381$	−6.29980	−	23.5772i	−0.322748	−	1.20790i
$382$	−41.5865	+	12.8277i	−2.12775	+	0.656325i
$383$	0.934851	−	12.4747i	0.0477686	−	0.637428i	−0.921016	−	0.389525i	$-0.872639\pi$
$383$	0.934851	−	12.4747i	0.0477686	−	0.637428i	0.968785	−	0.247904i	$-0.0797416\pi$
$384$	−5.89453	+	2.56684i	−0.300804	+	0.130989i
$385$	7.17357	−	15.5450i	0.365599	−	0.792247i
$386$	21.6682	+	4.94562i	1.10288	+	0.251725i
$387$	1.55739	−	0.114517i	0.0791668	−	0.00582121i
$388$	50.9132	+	19.9820i	2.58473	+	1.01443i
$389$	−6.75044	−	7.27524i	−0.342261	−	0.368869i	0.538341	−	0.842727i	$-0.319051\pi$
$389$	−6.75044	−	7.27524i	−0.342261	−	0.368869i	−0.880601	+	0.473858i	$0.842861\pi$
$390$	−0.800707	+	0.799586i	−0.0405454	+	0.0404886i
$391$		−	1.85063i		−	0.0935905i
$392$	−48.7635	−	9.45435i	−2.46293	−	0.477517i
$393$	6.86755	−	1.29443i	0.346422	−	0.0652953i
$394$	7.25329	−	4.94521i	0.365415	−	0.249136i
$395$	−6.97071	+	6.46787i	−0.350734	+	0.325434i
$396$	79.7553	+	0.111730i	4.00786	+	0.00561467i
$397$	5.90764	−	19.1521i	0.296496	−	0.961217i	−0.677667	−	0.735369i	$-0.737009\pi$
$397$	5.90764	−	19.1521i	0.296496	−	0.961217i	0.974163	−	0.225847i	$-0.0725151\pi$
$398$	−4.46604	+	19.5670i	−0.223862	+	0.980805i
$399$	6.33324	+	30.8081i	0.317059	+	1.54233i
$400$	7.30960	+	32.0255i	0.365480	+	1.60127i
$401$	26.9101	+	2.01663i	1.34383	+	0.100706i	0.727132	−	0.686497i	$-0.240853\pi$
$401$	26.9101	+	2.01663i	1.34383	+	0.100706i	0.616694	+	0.787203i	$0.288472\pi$
$402$	1.36880	+	2.59430i	0.0682697	+	0.129392i
$403$	0.0436303	+	0.582206i	0.00217338	+	0.0290018i
$404$	−31.0123	−	79.0179i	−1.54292	−	3.93129i
$405$	−9.91904	+	3.02921i	−0.492881	+	0.150523i
$406$	7.08396	+	2.05815i	0.351571	+	0.102144i
$407$	11.8423	+	24.5909i	0.587003	+	1.21892i
$408$	−2.99216	+	4.75460i	−0.148134	+	0.235388i
$409$	1.14058	−	7.56723i	0.0563979	−	0.374176i	−0.942772	−	0.333438i	$-0.891791\pi$
$409$	1.14058	−	7.56723i	0.0563979	−	0.374176i	0.999170	−	0.0407375i	$-0.0129707\pi$
$410$	13.9906	−	8.07750i	0.690949	−	0.398920i
$411$	1.82789	+	0.641043i	0.0901630	+	0.0316203i
$412$	−28.9811	−	23.1117i	−1.42780	−	1.13863i
$413$	0.0276649	+	0.302346i	0.00136130	+	0.0148775i
$414$	27.2758	+	15.7987i	1.34053	+	0.776462i
$415$	15.4266	−	2.32518i	0.757260	−	0.114139i
$416$	−1.62867	−	1.11041i	−0.0798520	−	0.0544422i
$417$	−8.79337	+	20.1162i	−0.430613	+	0.985092i
$418$	−14.9065	−	98.8984i	−0.729102	−	4.83728i
$419$	−8.82036	−	11.0604i	−0.430903	−	0.540335i	0.518217	−	0.855249i	$-0.326596\pi$
$419$	−8.82036	−	11.0604i	−0.430903	−	0.540335i	−0.949120	+	0.314914i	$0.898024\pi$
$420$	−24.9661	+	1.32811i	−1.21822	+	0.0648050i
$421$	24.5591	−	30.7961i	1.19694	−	1.50091i	0.379206	−	0.925312i	$-0.376197\pi$
$421$	24.5591	−	30.7961i	1.19694	−	1.50091i	0.817732	−	0.575600i	$-0.195231\pi$
$422$	−27.8211	−	16.0625i	−1.35431	−	0.781912i
$423$	7.31971	+	5.85407i	0.355897	+	0.284635i
$424$	−57.6338	−	8.68690i	−2.79895	−	0.421873i
$425$	−1.23037	−	1.14162i	−0.0596818	−	0.0553766i
$426$	23.5235	−	17.3357i	1.13972	−	0.839918i
$427$	4.30757	+	25.7031i	0.208458	+	1.24386i
$428$	25.9910	−	53.9709i	1.25632	−	2.60878i
$429$	−1.12921	−	1.79992i	−0.0545187	−	0.0869010i
$430$	1.55228	−	0.116328i	0.0748578	−	0.00560981i
$431$	−4.37040	−	14.1685i	−0.210515	−	0.682472i	−0.997825	−	0.0659155i	$-0.979003\pi$
$431$	−4.37040	−	14.1685i	−0.210515	−	0.682472i	0.787310	−	0.616557i	$-0.211473\pi$
$432$	−21.6337	−	41.1420i	−1.04085	−	1.97945i
$433$	−16.0184	+	3.65609i	−0.769794	+	0.175701i	−0.589342	−	0.807883i	$-0.700613\pi$
$433$	−16.0184	+	3.65609i	−0.769794	+	0.175701i	−0.180452	+	0.983584i	$0.557756\pi$
$434$	−11.2028	+	14.5318i	−0.537750	+	0.697550i
$435$	2.14294	+	0.0816863i	0.102746	+	0.00391656i
$436$	60.0174	+	18.5129i	2.87431	+	0.886608i
$437$	10.1524	−	25.8679i	0.485656	−	1.23743i
$438$	22.4206	−	30.3344i	1.07130	−	1.44943i
$439$	−3.35373	−	4.91902i	−0.160065	−	0.234772i	0.737825	−	0.674992i	$-0.235853\pi$
$439$	−3.35373	−	4.91902i	−0.160065	−	0.234772i	−0.897890	+	0.440220i	$0.854901\pi$
$440$	45.9171			2.18901
$441$	−2.47448	+	20.8537i	−0.117832	+	0.993034i
$442$	0.259135			0.0123258
$443$	−10.1269	−	14.8535i	−0.481144	−	0.705709i	0.506532	−	0.862221i	$-0.330927\pi$
$443$	−10.1269	−	14.8535i	−0.481144	−	0.705709i	−0.987676	+	0.156512i	$0.949975\pi$
$444$	23.6909	−	32.0530i	1.12432	−	1.52117i
$445$	−3.08732	+	7.86638i	−0.146353	+	0.372902i
$446$	46.7791	+	14.4294i	2.21505	+	0.683253i
$447$	−2.05971	−	0.0785136i	−0.0974208	−	0.00371356i
$448$	−3.48572	−	14.1919i	−0.164685	−	0.670502i
$449$	−21.8944	+	4.99725i	−1.03326	+	0.235835i	−0.705339	−	0.708870i	$-0.749205\pi$
$449$	−21.8944	+	4.99725i	−1.03326	+	0.235835i	−0.327922	+	0.944705i	$0.606348\pi$
$450$	27.3294	−	8.38811i	1.28832	−	0.395419i
$451$	8.94138	+	28.9872i	0.421033	+	1.36496i
$452$	−29.0996	+	2.18072i	−1.36873	+	0.102572i
$453$	2.31781	+	3.69452i	0.108900	+	0.173584i
$454$	21.8100	−	45.2890i	1.02360	−	2.12552i
$455$	0.384214	+	0.544093i	0.0180123	+	0.0255075i
$456$	−67.9074	+	50.0445i	−3.18006	+	2.34355i
$457$	−11.9293	−	11.0688i	−0.558029	−	0.517776i	0.349962	−	0.936764i	$-0.386194\pi$
$457$	−11.9293	−	11.0688i	−0.558029	−	0.517776i	−0.907992	+	0.418988i	$0.862385\pi$
$458$	−19.3042	−	2.90965i	−0.902028	−	0.135959i
$459$	2.09749	+	1.11420i	0.0979024	+	0.0520064i
$460$	19.1299	+	11.0446i	0.891936	+	0.514959i
$461$	12.3545	−	15.4920i	0.575404	−	0.721534i	−0.405917	−	0.913910i	$-0.633048\pi$
$461$	12.3545	−	15.4920i	0.575404	−	0.721534i	0.981321	+	0.192376i	$0.0616192\pi$
$462$	11.3801	−	65.8012i	0.529451	−	3.06135i
$463$	−7.50996	−	9.41720i	−0.349018	−	0.437654i	0.576074	−	0.817397i	$-0.304584\pi$
$463$	−7.50996	−	9.41720i	−0.349018	−	0.437654i	−0.925092	+	0.379743i	$0.876012\pi$
$464$	1.43251	+	9.50408i	0.0665026	+	0.441216i
$465$	−2.13647	+	4.88751i	−0.0990766	+	0.226653i
$466$	24.1125	+	16.4396i	1.11699	+	0.761550i
$467$	−14.7737	+	2.22677i	−0.683645	+	0.103043i	−0.481676	−	0.876349i	$-0.659972\pi$
$467$	−14.7737	+	2.22677i	−0.683645	+	0.103043i	−0.201968	+	0.979392i	$0.564734\pi$
$468$	−1.55522	+	2.68503i	−0.0718902	+	0.124116i
$469$	1.64129	−	0.535987i	0.0757878	−	0.0247496i
$470$	7.30462	+	5.82524i	0.336937	+	0.268698i
$471$	−20.7309	−	7.27036i	−0.955229	−	0.335000i
$472$	−0.705190	+	0.407141i	−0.0324590	+	0.0187402i
$473$	−0.435645	+	2.89031i	−0.0200310	+	0.132897i
$474$	−19.7553	+	31.3916i	−0.907392	+	1.44186i
$475$	−10.9352	−	22.7071i	−0.501741	−	1.04188i
$476$	4.26049	+	3.82471i	0.195279	+	0.175305i
$477$	−1.87588	+	24.5700i	−0.0858908	+	1.12498i
$478$	10.2990	+	26.2413i	0.471064	+	1.20025i
$479$	2.67818	+	35.7378i	0.122369	+	1.63290i	0.633742	+	0.773544i	$0.281518\pi$
$479$	2.67818	+	35.7378i	0.122369	+	1.63290i	−0.511373	+	0.859359i	$0.670863\pi$
$480$	−8.40393	−	15.9280i	−0.383585	−	0.727011i
$481$	−1.05891	−	0.0793542i	−0.0482821	−	0.00361824i
$482$	9.53639	+	41.7817i	0.434371	+	1.90310i
$483$	11.8796	−	14.2522i	0.540540	−	0.648499i
$484$	−21.6303	+	94.7686i	−0.983196	+	4.30767i
$485$	3.92398	−	12.7212i	0.178179	−	0.577641i
$486$	−34.3278	+	21.4023i	−1.55714	+	0.970827i
$487$	29.0909	−	26.9924i	1.31823	−	1.22314i	0.361431	−	0.932399i	$-0.382288\pi$
$487$	29.0909	−	26.9924i	1.31823	−	1.22314i	0.956801	−	0.290742i	$-0.0939022\pi$
$488$	−57.7520	+	39.3746i	−2.61431	+	1.78241i
$489$	16.9192	−	3.18902i	0.765115	−	0.144212i
$490$	−2.43749	+	20.7909i	−0.110115	+	0.939236i
$491$		−	24.0218i		−	1.08409i	−0.840351	−	0.542043i	$-0.817651\pi$
$491$		−	24.0218i		−	1.08409i	0.840351	−	0.542043i	$-0.182349\pi$
$492$	31.3460	−	31.3021i	1.41319	−	1.41121i
$493$	−0.334031	−	0.359999i	−0.0150440	−	0.0162136i
$494$	3.62217	+	1.42160i	0.162969	+	0.0639606i
$495$	−1.42359	−	19.3604i	−0.0639857	−	0.870186i
$496$	−23.3074	−	5.31976i	−1.04653	−	0.238864i
$497$	−7.71683	−	15.3722i	−0.346147	−	0.689537i
$498$	55.7907	−	24.2947i	2.50004	−	1.08867i
$499$	1.16114	−	15.4944i	0.0519800	−	0.693624i	−0.908963	−	0.416877i	$-0.863125\pi$
$499$	1.16114	−	15.4944i	0.0519800	−	0.693624i	0.960943	−	0.276747i	$-0.0892564\pi$
$500$	45.2106	−	13.9456i	2.02188	−	0.623667i
$501$	−5.57924	−	20.8805i	−0.249262	−	0.932871i
$502$	−10.5412	+	4.13711i	−0.470476	+	0.184648i
$503$	−11.1537	−	5.37134i	−0.497319	−	0.239496i	0.168372	−	0.985723i	$-0.446149\pi$
$503$	−11.1537	−	5.37134i	−0.497319	−	0.239496i	−0.665691	+	0.746227i	$0.731863\pi$
$504$	−53.5642	+	17.4092i	−2.38594	+	0.775465i
$505$	−18.6153	+	8.96466i	−0.828370	+	0.398922i
$506$	−40.1302	+	43.2500i	−1.78400	+	1.92270i
$507$	−22.4189	+	0.823131i	−0.995658	+	0.0365565i
$508$	−33.3535	−	57.7699i	−1.47982	−	2.56312i
$509$	−8.67882	+	15.0322i	−0.384682	+	0.666289i	−0.991725	−	0.128380i	$-0.959022\pi$
$509$	−8.67882	+	15.0322i	−0.384682	+	0.666289i	0.607043	+	0.794669i	$0.292356\pi$
$510$	2.09238	+	1.10773i	0.0926520	+	0.0490511i
$511$	−15.3678	−	16.0257i	−0.679832	−	0.708935i
$512$	−36.1526	+	28.8308i	−1.59774	+	1.27415i
$513$	23.2061	+	27.0808i	1.02457	+	1.19565i
$514$	34.0332	−	49.9175i	1.50114	−	2.20177i
$515$	−5.08257	+	7.45476i	−0.223965	+	0.328496i
$516$	4.02993	−	1.40697i	0.177408	−	0.0619382i
$517$	−13.7162	+	10.9383i	−0.603237	+	0.481066i
$518$	−23.0983	−	24.0871i	−1.01488	−	1.05833i
$519$	7.65202	−	14.4538i	0.335886	−	0.634452i
$520$	−0.893213	+	1.54709i	−0.0391700	+	0.0678444i
$521$	−7.67589	−	13.2950i	−0.336287	−	0.582466i	0.647444	−	0.762113i	$-0.275838\pi$
$521$	−7.67589	−	13.2950i	−0.336287	−	0.582466i	−0.983731	+	0.179647i	$0.942505\pi$
$522$	8.15748	−	1.84987i	0.357043	−	0.0809667i
$523$	−2.95565	+	3.18543i	−0.129241	+	0.139289i	−0.794357	−	0.607452i	$-0.792192\pi$
$523$	−2.95565	+	3.18543i	−0.129241	+	0.139289i	0.665115	+	0.746741i	$0.268382\pi$
$524$	17.2106	−	8.28818i	0.751848	−	0.362071i
$525$	−2.14714	−	16.6899i	−0.0937090	−	0.728408i
$526$	−34.7396	−	16.7297i	−1.51472	−	0.729451i
$527$	1.13708	−	0.446271i	0.0495320	−	0.0194399i
$528$	84.0570	−	22.4599i	3.65811	−	0.977443i
$529$	6.31358	−	1.94748i	0.274503	−	0.0846731i
$530$	−1.83561	+	24.4945i	−0.0797337	+	1.06397i
$531$	0.193530	+	0.284712i	0.00839848	+	0.0123555i
$532$	38.5707	+	76.8341i	1.67225	+	3.33118i
$533$	−1.15060	−	0.262618i	−0.0498382	−	0.0113752i
$534$	−3.71343	+	32.7514i	−0.160696	+	1.41729i
$535$	−13.5727	−	5.32689i	−0.586798	−	0.230301i
$536$	3.14970	+	3.39457i	0.136046	+	0.146623i
$537$	−7.58111	−	7.59174i	−0.327149	−	0.327608i
$538$			50.8184i			2.19094i
$539$	−37.0426	−	13.1494i	−1.59554	−	0.566385i
$540$	−24.0353	+	15.0320i	−1.03432	+	0.646876i
$541$	−8.28145	+	5.64620i	−0.356047	+	0.242749i	−0.728112	−	0.685458i	$-0.759602\pi$
$541$	−8.28145	+	5.64620i	−0.356047	+	0.242749i	0.372065	+	0.928207i	$0.378650\pi$
$542$	22.8976	−	21.2458i	0.983535	−	0.912587i
$543$	−19.1847	−	3.64386i	−0.823294	−	0.156373i
$544$	−1.21561	+	3.94092i	−0.0521190	+	0.168966i
$545$	3.40181	−	14.9043i	0.145717	−	0.638430i
$546$	1.99567	+	1.66344i	0.0854069	+	0.0711889i
$547$	8.56591	+	37.5297i	0.366252	+	1.60465i	0.736981	+	0.675914i	$0.236251\pi$
$547$	8.56591	+	37.5297i	0.366252	+	1.60465i	−0.370729	+	0.928741i	$0.620892\pi$
$548$	5.27989	+	0.395673i	0.225546	+	0.0169023i
$549$	18.3924	+	23.1297i	0.784967	+	0.987152i
$550$	3.99879	+	53.3602i	0.170509	+	2.27529i
$551$	−2.69412	−	6.86450i	−0.114773	−	0.292437i
$552$	48.0574	+	12.9130i	2.04546	+	0.549615i
$553$	16.2463	+	14.5846i	0.690865	+	0.620200i
$554$	−11.1642	−	23.1828i	−0.474322	−	0.984941i
$555$	−8.21089	−	5.16727i	−0.348533	−	0.219339i
$556$	−8.94394	+	59.3392i	−0.379308	+	2.51654i
$557$	23.9665	−	13.8371i	1.01549	−	0.586295i	0.102697	−	0.994713i	$-0.467253\pi$
$557$	23.9665	−	13.8371i	1.01549	−	0.586295i	0.912795	+	0.408418i	$0.133919\pi$
$558$	−3.12972	+	20.5688i	−0.132492	+	0.870745i
$559$	−0.0889092	−	0.0709027i	−0.00376046	−	0.00299886i
$560$	−25.9268	+	8.46676i	−1.09561	+	0.357786i
$561$	−2.90215	+	3.36759i	−0.122529	+	0.142180i
$562$	−6.63937	+	1.00072i	−0.280065	+	0.0422130i
$563$	12.2209	+	8.33208i	0.515050	+	0.351155i	0.792784	−	0.609503i	$-0.208631\pi$
$563$	12.2209	+	8.33208i	0.515050	+	0.351155i	−0.277734	+	0.960658i	$0.589583\pi$
$564$	23.4747	+	10.2615i	0.988462	+	0.432086i
$565$	1.05862	+	7.02346i	0.0445363	+	0.295479i
$566$	49.1983	+	61.6927i	2.06796	+	2.59314i
$567$	9.00105	+	22.0450i	0.378009	+	0.925802i
$568$	28.7626	−	36.0672i	1.20685	−	1.51335i
$569$	29.0453	+	16.7693i	1.21764	+	0.703006i	0.964413	−	0.264401i	$-0.0851742\pi$
$569$	29.0453	+	16.7693i	1.21764	+	0.703006i	0.253229	+	0.967406i	$0.418508\pi$
$570$	23.1701	+	26.9623i	0.970489	+	1.12933i
$571$	43.0686	+	6.49155i	1.80237	+	0.271663i	0.962529	−	0.271178i	$-0.0874130\pi$
$571$	43.0686	+	6.49155i	1.80237	+	0.271663i	0.839836	+	0.542840i	$0.182651\pi$
$572$	−4.25754	−	3.95042i	−0.178017	−	0.165175i
$573$	17.2323	+	23.3832i	0.719889	+	0.976846i
$574$	−21.3952	−	30.2981i	−0.893018	−	1.26462i
$575$	−6.45075	+	13.3951i	−0.269015	+	0.558615i
$576$	−11.2537	−	12.1627i	−0.468902	−	0.506779i
$577$	−4.79657	+	0.359453i	−0.199684	+	0.0149642i	−0.174196	−	0.984711i	$-0.555733\pi$
$577$	−4.79657	+	0.359453i	−0.199684	+	0.0149642i	−0.0254873	+	0.999675i	$0.508114\pi$
$578$	12.8437	+	41.6382i	0.534226	+	1.73192i
$579$	−1.65057	−	14.7420i	−0.0685952	−	0.612656i
$580$	5.71480	−	1.30437i	0.237294	−	0.0541609i
$581$	−8.54357	−	34.7845i	−0.354447	−	1.44311i
$582$	1.97792	−	51.8884i	0.0819876	−	2.15084i
$583$	−44.0742	−	13.5951i	−1.82536	−	0.563051i
$584$	21.7560	−	55.4334i	0.900270	−	2.29385i
$585$	0.680006	+	0.328648i	0.0281148	+	0.0135879i
$586$	−31.7365	−	46.5489i	−1.31102	−	1.92292i
$587$	−4.96878			−0.205084			−0.102542	−	0.994729i	$-0.532698\pi$
$587$	−4.96878			−0.205084			−0.102542	+	0.994729i	$0.532698\pi$
$588$	8.25961	+	56.8041i	0.340620	+	2.34256i
$589$	18.3422			0.755777
$590$	0.193312	+	0.283537i	0.00795854	+	0.0116730i
$591$	−4.71189	−	3.48263i	−0.193821	−	0.143256i
$592$	15.8855	−	40.4756i	0.652891	−	1.66354i
$593$	−2.58725	−	0.798061i	−0.106246	−	0.0327724i	0.241177	−	0.970481i	$-0.422467\pi$
$593$	−2.58725	−	0.798061i	−0.106246	−	0.0327724i	−0.347422	+	0.937709i	$0.612943\pi$
$594$	−24.8582	−	71.5224i	−1.01994	−	2.93460i
$595$	0.850845	−	1.10369i	0.0348812	−	0.0452467i
$596$	−5.49284	+	1.25370i	−0.224995	+	0.0513537i
$597$	13.3125	−	1.49051i	0.544842	−	0.0610025i
$598$	−0.676587	−	2.19344i	−0.0276677	−	0.0896965i
$599$	16.4800	−	1.23501i	0.673356	−	0.0504611i	0.266336	−	0.963880i	$-0.414187\pi$
$599$	16.4800	−	1.23501i	0.673356	−	0.0504611i	0.407020	+	0.913419i	$0.366568\pi$
$600$	38.2308	−	23.9846i	1.56076	−	0.979169i
$601$	6.68321	−	13.8778i	0.272614	−	0.566089i	−0.719047	−	0.694961i	$-0.755422\pi$
$601$	6.68321	−	13.8778i	0.272614	−	0.566089i	0.991661	+	0.128872i	$0.0411358\pi$
$602$	−0.590716	−	3.52478i	−0.0240758	−	0.143659i
$603$	1.33363	−	1.43328i	0.0543097	−	0.0583677i
$604$	8.73904	+	8.10864i	0.355586	+	0.329936i
$605$	23.3959	+	3.52636i	0.951178	+	0.143367i
$606$	−61.1217	+	52.5250i	−2.48290	+	2.13368i
$607$	−0.298408	−	0.172286i	−0.0121120	−	0.00699287i	0.493932	−	0.869501i	$-0.335559\pi$
$607$	−0.298408	−	0.172286i	−0.0121120	−	0.00699287i	−0.506044	+	0.862508i	$0.668893\pi$
$608$	−38.6113	+	48.4170i	−1.56589	+	1.96357i
$609$	−0.261549	−	4.91667i	−0.0105985	−	0.199233i
$610$	18.3662	+	23.0305i	0.743626	+	0.932478i
$611$	−0.101728	−	0.674921i	−0.00411547	−	0.0273044i
$612$	6.32719	+	1.45347i	0.255762	+	0.0587530i
$613$	−31.5892	−	21.5371i	−1.27588	−	0.869877i	−0.279946	−	0.960016i	$-0.590317\pi$
$613$	−31.5892	−	21.5371i	−1.27588	−	0.869877i	−0.995929	+	0.0901388i	$0.971269\pi$
$614$	76.1954	−	11.4846i	3.07500	−	0.463481i
$615$	−8.16789	−	7.03900i	−0.329361	−	0.283840i
$616$	−9.60613	−	104.984i	−0.387042	−	4.22993i
$617$	9.94931	+	7.93431i	0.400544	+	0.319423i	0.802959	−	0.596034i	$-0.203258\pi$
$617$	9.94931	+	7.93431i	0.400544	+	0.319423i	−0.402415	+	0.915457i	$0.631829\pi$
$618$	−11.6466	+	33.2093i	−0.468493	+	1.33587i
$619$	−13.1967	+	7.61911i	−0.530419	+	0.306238i	−0.741187	−	0.671298i	$-0.765737\pi$
$619$	−13.1967	+	7.61911i	−0.530419	+	0.306238i	0.210768	+	0.977536i	$0.432404\pi$
$620$	−2.17306	+	14.4173i	−0.0872721	+	0.579012i
$621$	3.95468	−	20.6632i	0.158696	−	0.829186i
$622$	6.32863	+	13.1415i	0.253755	+	0.526927i
$623$	18.6314	+	5.41311i	0.746452	+	0.216872i
$624$	−0.878394	+	3.26905i	−0.0351639	+	0.130867i
$625$	2.50050	+	6.37116i	0.100020	+	0.254847i
$626$	−0.181049	−	2.41592i	−0.00723615	−	0.0965598i
$627$	−59.0403	+	31.1508i	−2.35784	+	1.24404i
$628$	−59.8817	−	4.48751i	−2.38954	−	0.179071i
$629$	0.494371	+	2.16598i	0.0197118	+	0.0863632i
$630$	9.00322	+	21.9623i	0.358697	+	0.875000i
$631$	−0.0988817	+	0.433229i	−0.00393642	+	0.0172466i	−0.976858	−	0.213889i	$-0.931387\pi$
$631$	−0.0988817	+	0.433229i	−0.00393642	+	0.0172466i	0.972922	+	0.231136i	$0.0742441\pi$
$632$	−17.2593	+	55.9534i	−0.686539	+	2.22571i
$633$	−4.00098	+	21.0649i	−0.159025	+	0.837255i
$634$	−13.7026	+	12.7142i	−0.544201	+	0.504945i
$635$	−13.4154	+	9.14643i	−0.532372	+	0.362965i
$636$	12.4757	+	66.1896i	0.494695	+	2.62459i
$637$	1.16362	−	0.992288i	0.0461045	−	0.0393159i
$638$			15.6566i			0.619852i
$639$	−16.0991	−	11.0092i	−0.636869	−	0.435518i
$640$	2.90940	+	3.13558i	0.115004	+	0.123945i
$641$	−39.5786	−	15.5334i	−1.56326	−	0.613534i	−0.583216	−	0.812317i	$-0.698206\pi$
$641$	−39.5786	−	15.5334i	−1.56326	−	0.613534i	−0.980043	+	0.198784i	$0.936301\pi$
$642$	−56.5095	−	6.40718i	−2.23025	−	0.252871i
$643$	−14.6610	−	3.34627i	−0.578172	−	0.131964i	−0.0765727	−	0.997064i	$-0.524398\pi$
$643$	−14.6610	−	3.34627i	−0.578172	−	0.131964i	−0.501600	+	0.865100i	$0.667255\pi$
$644$	21.2502	−	46.0488i	0.837375	−	1.81458i
$645$	−0.414804	−	0.952562i	−0.0163329	−	0.0375071i
$646$	0.608388	−	8.11837i	0.0239367	−	0.319413i
$647$	−42.3743	+	13.0708i	−1.66591	+	0.513864i	−0.977406	−	0.211371i	$-0.932207\pi$
$647$	−42.3743	+	13.0708i	−1.66591	+	0.513864i	−0.688501	+	0.725235i	$0.741731\pi$
$648$	−43.5692	+	46.6933i	−1.71156	+	1.83429i
$649$	−0.599833	+	0.235417i	−0.0235455	+	0.00924094i
$650$	−1.87566	−	0.903269i	−0.0735694	−	0.0354291i
$651$	11.6217	+	3.86230i	0.455489	+	0.151375i
$652$	42.4009	−	20.4192i	1.66055	−	0.799677i
$653$	3.59769	−	3.87738i	0.140788	−	0.151734i	−0.658721	−	0.752387i	$-0.728902\pi$
$653$	3.59769	−	3.87738i	0.140788	−	0.151734i	0.799510	+	0.600653i	$0.205093\pi$
$654$	−2.18787	−	59.5890i	−0.0855524	−	2.33012i
$655$	−2.32478	−	4.02663i	−0.0908366	−	0.157334i
$656$	24.1631	−	41.8516i	0.943409	−	1.63403i
$657$	−24.0474	−	7.45454i	−0.938178	−	0.290829i
$658$	11.7906	−	17.9198i	0.459644	−	0.698588i
$659$	21.4735	−	17.1245i	0.836488	−	0.667077i	−0.108531	−	0.994093i	$-0.534615\pi$
$659$	21.4735	−	17.1245i	0.836488	−	0.667077i	0.945019	+	0.327016i	$0.106043\pi$
$660$	−17.4904	−	50.0973i	−0.680813	−	1.95003i
$661$	2.21604	−	3.25033i	0.0861939	−	0.126423i	−0.780720	−	0.624881i	$-0.785148\pi$
$661$	2.21604	−	3.25033i	0.0861939	−	0.126423i	0.866914	+	0.498457i	$0.166100\pi$
$662$	11.5988	−	17.0123i	0.450800	−	0.661202i
$663$	−0.0570097	−	0.163291i	−0.00221407	−	0.00634171i
$664$	75.1070	−	59.8958i	2.91472	−	2.32441i
$665$	17.9478	−	10.7595i	0.695984	−	0.417237i
$666$	−36.1439	−	11.2044i	−1.40055	−	0.434162i
$667$	−2.17507	+	3.76732i	−0.0842189	+	0.145871i
$668$	−29.5385	−	51.1622i	−1.14288	−	1.97953i
$669$	−1.19884	−	32.6518i	−0.0463498	−	1.26239i
$670$	1.32739	−	1.43059i	0.0512816	−	0.0552684i
$671$	−49.8351	+	23.9993i	−1.92386	+	0.926484i
$672$	−34.6594	+	22.5468i	−1.33701	+	0.869763i
$673$	−16.0206	−	7.71509i	−0.617547	−	0.297395i	0.0988342	−	0.995104i	$-0.468489\pi$
$673$	−16.0206	−	7.71509i	−0.617547	−	0.297395i	−0.716381	+	0.697709i	$0.754203\pi$
$674$	−0.0341121	+	0.0133880i	−0.00131395	+	0.000515687i
$675$	−11.2981	−	15.3760i	−0.434866	−	0.591821i
$676$	−58.5968	+	18.0747i	−2.25372	+	0.695182i
$677$	−0.945753	+	12.6202i	−0.0363482	+	0.485033i	0.949091	+	0.315003i	$0.102006\pi$
$677$	−0.945753	+	12.6202i	−0.0363482	+	0.485033i	−0.985439	+	0.170030i	$0.945613\pi$
$678$	11.0610	+	25.4006i	0.424795	+	0.975504i
$679$	−29.9065	−	6.31036i	−1.14771	−	0.242169i
$680$	3.64388	+	0.831693i	0.139737	+	0.0318940i
$681$	−33.3366	−	3.77978i	−1.27746	−	0.144841i
$682$	−36.2512	−	14.2275i	−1.38813	−	0.544801i
$683$	14.3604	+	15.4768i	0.549485	+	0.592204i	0.945331	−	0.326113i	$-0.105739\pi$
$683$	14.3604	+	15.4768i	0.549485	+	0.592204i	−0.395846	+	0.918317i	$0.629549\pi$
$684$	80.4672	+	55.0269i	3.07674	+	2.10401i
$685$		−	1.28874i		−	0.0492404i
$686$	48.0458	+	1.22346i	1.83440	+	0.0467120i
$687$	2.41345	+	12.8045i	0.0920788	+	0.488521i
$688$	3.84740	−	2.62311i	0.146681	−	0.100005i
$689$	1.31542	−	1.22053i	0.0501136	−	0.0464987i
$690$	3.91326	−	20.6031i	0.148975	−	0.784345i
$691$	1.40677	−	4.56065i	0.0535162	−	0.173495i	−0.924869	−	0.380286i	$-0.875826\pi$
$691$	1.40677	−	4.56065i	0.0535162	−	0.173495i	0.978385	+	0.206790i	$0.0663018\pi$
$692$	9.94739	−	43.5823i	0.378143	−	1.65675i
$693$	−43.9675	+	7.30519i	−1.67019	+	0.277501i
$694$	−9.86217	−	43.2090i	−0.374363	−	1.64019i
$695$	14.5656	+	1.09154i	0.552505	+	0.0414045i
$696$	11.6792	−	6.16220i	0.442701	−	0.233578i
$697$	0.184525	+	2.46232i	0.00698940	+	0.0932670i
$698$	25.4582	+	64.8665i	0.963608	+	2.45523i
$699$	5.05450	−	18.8109i	0.191179	−	0.711494i
$700$	−17.5062	−	42.5346i	−0.661673	−	1.60766i
$701$	3.27615	+	6.80299i	0.123738	+	0.256945i	0.953631	−	0.300977i	$-0.0973129\pi$
$701$	3.27615	+	6.80299i	0.123738	+	0.256945i	−0.829893	+	0.557923i	$0.811599\pi$
$702$	2.89337	+	0.553756i	0.109203	+	0.0209002i
$703$	−4.97213	+	32.9879i	−0.187527	+	1.24416i
$704$	26.8606	−	15.5080i	1.01235	−	0.584478i
$705$	2.06369	−	5.88448i	0.0777232	−	0.221622i
$706$	−6.78379	−	5.40989i	−0.255311	−	0.203604i
$707$	24.3911	+	40.6862i	0.917320	+	1.53016i
$708$	0.712822	+	0.614303i	0.0267895	+	0.0230869i
$709$	36.7968	−	5.54623i	1.38193	−	0.208293i	0.584351	−	0.811501i	$-0.301349\pi$
$709$	36.7968	−	5.54623i	1.38193	−	0.208293i	0.797584	+	0.603208i	$0.206111\pi$
$710$	−16.0633	−	10.9518i	−0.602844	−	0.411012i
$711$	24.1272	+	5.54245i	0.904841	+	0.207858i
$712$	7.75557	+	51.4548i	0.290652	+	1.92835i
$713$	−6.74629	−	8.45958i	−0.252650	−	0.316814i
$714$	2.09495	−	5.01572i	0.0784017	−	0.187708i
$715$	−0.881412	+	1.10526i	−0.0329629	+	0.0413342i
$716$	−25.3973	−	14.6631i	−0.949140	−	0.547986i
$717$	14.2699	−	12.2629i	0.532920	−	0.457965i
$718$	−1.47228	−	0.221910i	−0.0549449	−	0.00828161i
$719$	−31.4951	−	29.2231i	−1.17457	−	1.08984i	−0.994343	−	0.106214i	$-0.966127\pi$
$719$	−31.4951	−	29.2231i	−1.17457	−	1.08984i	−0.180224	−	0.983626i	$-0.557682\pi$
$720$	−21.0668	+	22.6409i	−0.785113	+	0.843777i
$721$	18.1077	+	10.0611i	0.674367	+	0.374695i
$722$	31.6475	−	65.7167i	1.17780	−	2.44572i
$723$	24.2302	−	15.2012i	0.901132	−	0.565339i
$724$	−53.2278	+	3.98887i	−1.97819	+	0.148245i
$725$	1.16291	+	3.77006i	0.0431893	+	0.140016i
$726$	91.7133	−	10.2686i	3.40380	−	0.381102i
$727$	32.0371	−	7.31225i	1.18819	−	0.271196i	0.417661	−	0.908603i	$-0.362850\pi$
$727$	32.0371	−	7.31225i	1.18819	−	0.271196i	0.770528	+	0.637407i	$0.219993\pi$
$728$	3.72410	+	1.71857i	0.138025	+	0.0636943i
$729$	21.0385	+	16.9228i	0.779204	+	0.626770i
$730$	−23.9814	−	7.39727i	−0.887590	−	0.273785i
$731$	−0.0869239	+	0.221478i	−0.00321500	+	0.00819167i
$732$	64.9576	+	48.0112i	2.40090	+	1.77455i
$733$	19.8827	+	29.1626i	0.734385	+	1.07714i	0.993779	+	0.111373i	$0.0355249\pi$
$733$	19.8827	+	29.1626i	0.734385	+	1.07714i	−0.259394	+	0.965772i	$0.583523\pi$
$734$	−49.4821			−1.82642
$735$	13.6374	−	3.03803i	0.503022	−	0.112059i
$736$	36.5316			1.34657
$737$	2.06429	+	3.02775i	0.0760390	+	0.111529i
$738$	−37.8665	−	18.3009i	−1.39388	−	0.673667i
$739$	−4.39112	+	11.1884i	−0.161530	+	0.411571i	−0.988608	−	0.150516i	$-0.951906\pi$
$739$	−4.39112	+	11.1884i	−0.161530	+	0.411571i	0.827078	+	0.562088i	$0.190002\pi$
$740$	−25.3400	−	7.81636i	−0.931518	−	0.287335i
$741$	0.0989267	−	2.59522i	0.00363416	−	0.0953377i
$742$	56.3878	−	0.927491i	2.07006	−	0.0340493i
$743$	11.6210	−	2.65242i	0.426333	−	0.0973078i	−0.00397003	−	0.999992i	$-0.501264\pi$
$743$	11.6210	−	2.65242i	0.426333	−	0.0973078i	0.430303	+	0.902684i	$0.358407\pi$
$744$	3.65469	+	32.6417i	0.133987	+	1.19670i
$745$	0.404214	+	1.31043i	0.0148093	+	0.0480104i
$746$	69.0938	−	5.17786i	2.52970	−	0.189575i
$747$	−27.5830	−	29.8110i	−1.00921	−	1.09073i
$748$	−5.27235	+	10.9482i	−0.192776	+	0.400304i
$749$	−9.33981	+	32.1468i	−0.341269	+	1.17462i
$750$	−26.6480	−	36.1597i	−0.973046	−	1.32037i
$751$	11.1610	+	10.3559i	0.407271	+	0.377892i	0.857038	−	0.515254i	$-0.172302\pi$
$751$	11.1610	+	10.3559i	0.407271	+	0.377892i	−0.449767	+	0.893146i	$0.648493\pi$
$752$	27.6364	+	4.16551i	1.00780	+	0.151901i
$753$	4.92601	+	5.73224i	0.179514	+	0.208894i
$754$	−0.527521	−	0.304564i	−0.0192112	−	0.0110916i
$755$	1.80919	−	2.26865i	0.0658431	−	0.0825647i
$756$	39.3973	+	51.8091i	1.43287	+	1.88428i
$757$	17.4242	+	21.8493i	0.633295	+	0.794127i	0.990147	−	0.140034i	$-0.0447213\pi$
$757$	17.4242	+	21.8493i	0.633295	+	0.794127i	−0.356852	+	0.934161i	$0.616150\pi$
$758$	−8.75718	−	58.1001i	−0.318075	−	2.11029i
$759$	36.0821	+	15.7726i	1.30970	+	0.572508i
$760$	46.3712	+	31.6154i	1.68206	+	1.14681i
$761$	−33.6295	+	5.06883i	−1.21907	+	0.183745i	−0.726893	−	0.686751i	$-0.759036\pi$
$761$	−33.6295	+	5.06883i	−1.21907	+	0.183745i	−0.492176	+	0.870496i	$0.663798\pi$
$762$	−41.3436	+	47.9742i	−1.49772	+	1.73792i
$763$	−34.7886	−	4.65977i	−1.25943	−	0.168695i
$764$	62.0751	+	49.5032i	2.24580	+	1.79096i
$765$	0.237701	−	1.56219i	0.00859408	−	0.0564810i
$766$	−28.1142	+	16.2318i	−1.01581	+	0.586478i
$767$	0.00373646	−	0.0247898i	0.000134916	−	0.000895107i
$768$	30.3145	+	19.0775i	1.09388	+	0.688401i
$769$	16.1192	+	33.4719i	0.581275	+	1.20703i	0.959603	+	0.281358i	$0.0907847\pi$
$769$	16.1192	+	33.4719i	0.581275	+	1.20703i	−0.378328	+	0.925671i	$0.623501\pi$
$770$	−43.8175	+	7.34337i	−1.57907	+	0.264637i
$771$	−38.9422	−	10.4638i	−1.40247	−	0.376844i
$772$	−14.8137	−	37.7447i	−0.533156	−	1.35846i
$773$	−2.07446	−	27.6817i	−0.0746131	−	0.995643i	−0.901360	−	0.433070i	$-0.857430\pi$
$773$	−2.07446	−	27.6817i	−0.0746131	−	0.995643i	0.826747	−	0.562573i	$-0.190189\pi$
$774$	−2.52223	−	3.17188i	−0.0906595	−	0.114011i
$775$	−9.78591	−	0.733352i	−0.351520	−	0.0263428i
$776$	−18.2413	−	79.9205i	−0.654826	−	2.86898i
$777$	−10.0966	+	19.8543i	−0.362213	+	0.712268i
$778$	−5.73103	+	25.1093i	−0.205467	+	0.900211i
$779$	−10.9288	+	35.4303i	−0.391565	+	1.26942i
$780$	2.02817	+	0.385222i	0.0726201	+	0.0137932i
$781$	26.7608	−	24.8304i	0.957576	−	0.888501i
$782$	−3.96803	+	2.70536i	−0.141896	+	0.0967434i
$783$	−2.96032	−	4.73337i	−0.105793	−	0.169157i
$784$	24.7823	+	57.5072i	0.885081	+	2.05383i
$785$			14.6162i			0.521676i
$786$	−12.8148	−	12.8328i	−0.457089	−	0.457730i
$787$	17.4780	+	18.8368i	0.623022	+	0.671458i	0.963164	−	0.268916i	$-0.0866655\pi$
$787$	17.4780	+	18.8368i	0.623022	+	0.671458i	−0.340142	+	0.940374i	$0.610475\pi$
$788$	−14.9085	−	5.85117i	−0.531095	−	0.208439i
$789$	−2.89934	+	25.5713i	−0.103219	+	0.910363i
$790$	24.0582	+	5.49114i	0.855954	+	0.195366i
$791$	15.8368	−	3.88975i	0.563093	−	0.138304i
$792$	−67.1997	−	98.8612i	−2.38784	−	3.51288i
$793$	0.160817	−	2.14595i	0.00571078	−	0.0762051i
$794$	−49.7011	+	15.3308i	−1.76383	+	0.544068i
$795$	15.8388	−	4.23209i	0.561743	−	0.150097i
$796$	34.0846	−	13.3772i	1.20809	−	0.474142i
$797$	−26.8257	−	12.9186i	−0.950214	−	0.457599i	−0.106453	−	0.994318i	$-0.533949\pi$
$797$	−26.8257	−	12.9186i	−0.950214	−	0.457599i	−0.843761	+	0.536719i	$0.819664\pi$
$798$	56.7989	−	58.6164i	2.01066	−	2.07500i
$799$	−1.28661	+	0.619600i	−0.0455171	+	0.0219199i
$800$	22.5357	−	24.2877i	0.796756	−	0.858698i
$801$	21.4549	−	4.86533i	0.758071	−	0.171908i
$802$	−35.0147	−	60.6473i	−1.23641	−	2.14153i
$803$	23.5622	−	40.8109i	0.831491	−	1.44019i
$804$	2.50384	−	4.72948i	0.0883037	−	0.166796i
$805$	−11.5636	−	4.32029i	−0.407563	−	0.152270i
$806$	1.18456	−	0.944651i	0.0417242	−	0.0332739i
$807$	32.0226	−	11.1800i	1.12725	−	0.393556i
$808$	−71.6697	+	105.120i	−2.52133	+	3.69812i
$809$	−4.31174	+	6.32417i	−0.151593	+	0.222346i	−0.894522	−	0.447025i	$-0.852484\pi$
$809$	−4.31174	+	6.32417i	−0.151593	+	0.222346i	0.742929	+	0.669370i	$0.233436\pi$
$810$	20.9953	+	16.8396i	0.737699	+	0.591684i
$811$	40.6683	−	32.4319i	1.42806	−	1.13884i	0.460057	−	0.887889i	$-0.347829\pi$
$811$	40.6683	−	32.4319i	1.42806	−	1.13884i	0.968000	−	0.250949i	$-0.0807426\pi$
$812$	−4.17785	−	12.7933i	−0.146614	−	0.448958i
$813$	−18.4253	−	9.75456i	−0.646203	−	0.342107i
$814$	35.4147	−	61.3400i	1.24128	−	2.14997i
$815$	−5.72744	−	9.92022i	−0.200624	−	0.347490i
$816$	7.07741	−	0.259854i	0.247759	−	0.00909670i
$817$	−2.43003	+	2.61894i	−0.0850158	+	0.0916253i
$818$	−17.8926	+	8.61663i	−0.625601	+	0.301274i
$819$	0.609153	−	1.62351i	0.0212855	−	0.0567300i
$820$	−26.5541	−	12.7878i	−0.927310	−	0.446569i
$821$	−11.0675	+	4.34369i	−0.386260	+	0.151596i	−0.550521	−	0.834821i	$-0.685571\pi$
$821$	−11.0675	+	4.34369i	−0.386260	+	0.151596i	0.164262	+	0.986417i	$0.447476\pi$
$822$	−1.29762	−	4.85637i	−0.0452595	−	0.169385i
$823$	18.4748	−	5.69873i	0.643992	−	0.198645i	0.0444791	−	0.999010i	$-0.485837\pi$
$823$	18.4748	−	5.69873i	0.643992	−	0.198645i	0.599513	+	0.800365i	$0.295361\pi$
$824$	−4.15187	+	55.4029i	−0.144637	+	1.93005i
$825$	32.7446	−	14.2590i	1.14002	−	0.496435i
$826$	0.607832	−	0.501303i	0.0211492	−	0.0174426i
$827$	46.6254	+	10.6420i	1.62133	+	0.370057i	0.934275	−	0.356553i	$-0.116048\pi$
$827$	46.6254	+	10.6420i	1.62133	+	0.370057i	0.687050	+	0.726610i	$0.258905\pi$
$828$	−4.21709	−	57.3512i	−0.146554	−	1.99309i
$829$	−48.9525	−	19.2124i	−1.70019	−	0.667276i	−0.701233	−	0.712932i	$-0.747367\pi$
$829$	−48.9525	−	19.2124i	−1.70019	−	0.667276i	−0.998957	+	0.0456563i	$0.985462\pi$
$830$	−27.5369	−	29.6777i	−0.955820	−	1.03013i
$831$	−12.1522	+	12.1352i	−0.421556	+	0.420966i
$832$			1.20669i			0.0418344i
$833$	−2.70145	−	1.71446i	−0.0935996	−	0.0594025i
$834$	55.9866	−	10.5526i	1.93866	−	0.365408i
$835$	−11.8809	+	8.10027i	−0.411156	+	0.280322i
$836$	−133.757	+	124.108i	−4.62609	+	4.29238i
$837$	13.6497	−	2.55297i	0.471803	−	0.0882434i
$838$	−10.8210	+	35.0808i	−0.373805	+	1.21185i
$839$	−10.1688	+	44.5524i	−0.351066	+	1.53812i	0.423660	+	0.905821i	$0.360745\pi$
$839$	−10.1688	+	44.5524i	−0.351066	+	1.53812i	−0.774725	+	0.632298i	$0.782112\pi$
$840$	22.7237	+	29.7960i	0.784044	+	1.02806i
$841$	−6.19623	−	27.1475i	−0.213663	−	0.936120i
$842$	−101.933	−	7.63885i	−3.51285	−	0.263252i
$843$	2.09125	+	3.96356i	0.0720266	+	0.136512i
$844$	4.37980	+	58.4444i	0.150759	+	2.01174i
$845$	5.45298	+	13.8940i	0.187588	+	0.477967i
$846$	1.85163	−	24.2524i	0.0636605	−	0.833813i
$847$	3.16805	−	54.2297i	0.108856	−	1.86335i
$848$	31.8810	+	66.2017i	1.09480	+	2.27337i
$849$	28.0514	−	44.5741i	0.962720	−	1.52978i
$850$	−0.649173	+	4.30698i	−0.0222664	+	0.147728i
$851$	17.0431	−	9.83982i	0.584229	−	0.337305i
$852$	−50.3067	−	17.6426i	−1.72348	−	0.604427i
$853$	11.4827	+	9.15717i	0.393161	+	0.313535i	0.800040	−	0.599947i	$-0.204812\pi$
$853$	11.4827	+	9.15717i	0.393161	+	0.313535i	−0.406879	+	0.913482i	$0.633383\pi$
$854$	48.8142	−	46.8103i	1.67039	−	1.60181i
$855$	11.8926	−	20.5321i	0.406718	−	0.702183i
$856$	−88.7804	+	13.3815i	−3.03445	+	0.457370i
$857$	33.4907	+	22.8336i	1.14402	+	0.779981i	0.978504	−	0.206226i	$-0.0661183\pi$
$857$	33.4907	+	22.8336i	1.14402	+	0.779981i	0.165517	+	0.986207i	$0.447071\pi$
$858$	−2.20856	+	5.05241i	−0.0753990	+	0.172487i
$859$	3.05406	+	20.2624i	0.104203	+	0.691343i	0.978545	+	0.206033i	$0.0660553\pi$
$859$	3.05406	+	20.2624i	0.104203	+	0.691343i	−0.874342	+	0.485310i	$0.838707\pi$
$860$	−1.77065	−	2.22032i	−0.0603785	−	0.0757122i
$861$	−14.3851	+	20.1475i	−0.490242	+	0.686625i
$862$	−23.9905	+	30.0831i	−0.817118	+	1.02463i
$863$	32.0840	+	18.5237i	1.09215	+	0.630555i	0.934149	−	0.356884i	$-0.116161\pi$
$863$	32.0840	+	18.5237i	1.09215	+	0.630555i	0.158004	+	0.987438i	$0.449494\pi$
$864$	−21.9944	+	41.4046i	−0.748265	+	1.40861i
$865$	−10.7593	−	1.62171i	−0.365829	−	0.0551398i
$866$	31.2558	+	29.0011i	1.06211	+	0.985498i
$867$	23.4122	−	17.2537i	0.795120	−	0.585966i
$868$	33.4181	+	1.95226i	1.13428	+	0.0662639i
$869$	−20.1048	+	41.7481i	−0.682010	+	1.41621i
$870$	−2.95752	−	4.71419i	−0.100269	−	0.159826i
$871$	−0.142171	+	0.0106542i	−0.00481727	+	0.000361004i
$872$	−27.7473	−	89.9545i	−0.939642	−	3.04624i
$873$	−33.1320	+	10.1691i	−1.12135	+	0.344171i
$874$	−70.3061	+	16.0469i	−2.37814	+	0.542795i
$875$	−23.6297	+	11.8621i	−0.798830	+	0.401012i
$876$	−68.7671	−	2.62132i	−2.32342	−	0.0885662i
$877$	1.60536	+	0.495189i	0.0542093	+	0.0167214i	0.321741	−	0.946828i	$-0.395732\pi$
$877$	1.60536	+	0.495189i	0.0542093	+	0.0167214i	−0.267532	+	0.963549i	$0.586208\pi$
$878$	−5.64444	+	14.3818i	−0.190491	+	0.485362i
$879$	−22.3502	+	30.2391i	−0.753855	+	1.01994i
$880$	−32.6087	−	47.8282i	−1.09924	−	1.61229i
$881$	40.9369			1.37920			0.689600	−	0.724190i	$-0.257786\pi$
$881$	40.9369			1.37920			0.689600	+	0.724190i	$0.257786\pi$
$882$	48.3308	−	25.1795i	1.62738	−	0.847836i
$883$	44.3481			1.49243			0.746217	−	0.665703i	$-0.231868\pi$
$883$	44.3481			1.49243			0.746217	+	0.665703i	$0.231868\pi$
$884$	−0.266316	−	0.390614i	−0.00895717	−	0.0131378i
$885$	0.136139	−	0.184192i	0.00457626	−	0.00619153i
$886$	−17.0439	+	43.4272i	−0.572602	+	1.45897i
$887$	51.1866	+	15.7890i	1.71868	+	0.530142i	0.988250	−	0.152847i	$-0.0488442\pi$
$887$	51.1866	+	15.7890i	1.71868	+	0.530142i	0.730429	+	0.682989i	$0.239320\pi$
$888$	−59.6959	−	2.27554i	−2.00326	−	0.0763621i
$889$	23.7188	+	28.7591i	0.795503	+	0.964550i
$890$	21.3799	−	4.87982i	0.716656	−	0.163572i
$891$	−39.6002	+	31.3990i	−1.32666	+	1.05191i
$892$	−26.3248	−	85.3427i	−0.881418	−	2.85749i
$893$	−21.3832	+	1.60245i	−0.715562	+	0.0536239i
$894$	2.84265	+	4.53109i	0.0950724	+	0.151542i
$895$	−3.09710	+	6.43119i	−0.103525	+	0.214971i
$896$	6.56048	−	7.30798i	0.219170	−	0.244142i
$897$	−1.23332	+	0.908900i	−0.0411795	+	0.0303473i
$898$	42.7213	+	39.6396i	1.42563	+	1.32279i
$899$	−2.83926	−	0.427949i	−0.0946945	−	0.0142729i
$900$	−40.7307	−	32.5751i	−1.35769	−	1.08584i
$901$	−3.25139	−	1.87719i	−0.108319	−	0.0625382i
$902$	49.0819	−	61.5468i	1.63425	−	2.04928i
$903$	−2.09114	+	1.14768i	−0.0695888	+	0.0381925i
$904$	27.2696	+	34.1950i	0.906973	+	1.13731i
$905$	1.93637	+	12.8470i	0.0643673	+	0.427049i
$906$	4.53329	−	10.3706i	0.150609	−	0.344540i
$907$	−27.2544	−	18.5817i	−0.904967	−	0.616996i	0.0188531	−	0.999822i	$-0.493999\pi$
$907$	−27.2544	−	18.5817i	−0.904967	−	0.616996i	−0.923820	+	0.382826i	$0.874951\pi$
$908$	−90.6818	+	13.6681i	−3.00938	+	0.453591i
$909$	46.5447	+	26.9596i	1.54379	+	0.894195i
$910$	0.604950	−	1.61920i	0.0200539	−	0.0536759i
$911$	−44.0908	−	35.1613i	−1.46079	−	1.16494i	−0.952806	−	0.303580i	$-0.901818\pi$
$911$	−44.0908	−	35.1613i	−1.46079	−	1.16494i	−0.507988	−	0.861364i	$-0.669611\pi$
$912$	100.353	+	35.1939i	3.32301	+	1.16539i
$913$	65.8358	−	38.0103i	2.17885	−	1.25796i
$914$	−6.29418	+	41.7592i	−0.208193	+	1.38127i
$915$	10.4718	−	16.6400i	0.346188	−	0.550100i
$916$	15.4532	+	32.0890i	0.510589	+	1.06025i
$917$	−8.72007	+	6.15773i	−0.287962	+	0.203346i
$918$	−0.677215	−	6.12613i	−0.0223514	−	0.202192i
$919$	8.60507	+	21.9254i	0.283855	+	0.723251i	0.999688	+	0.0249795i	$0.00795205\pi$
$919$	8.60507	+	21.9254i	0.283855	+	0.723251i	−0.715833	+	0.698272i	$0.753953\pi$
$920$	−2.47413	−	33.0150i	−0.0815698	−	1.08847i
$921$	−23.9999	−	45.4871i	−0.790823	−	1.49885i
$922$	−51.2776	−	3.84272i	−1.68874	−	0.126553i
$923$	0.316043	+	1.38467i	0.0104027	+	0.0455771i
$924$	−110.882	+	50.4704i	−3.64776	+	1.66035i
$925$	3.97164	−	17.4009i	0.130587	−	0.572137i
$926$	−9.21338	+	29.8691i	−0.302771	+	0.981558i
$927$	23.4887	+	0.0329057i	0.771470	+	0.00108076i
$928$	7.10642	−	6.59379i	0.233280	−	0.216452i
$929$	19.5434	−	13.3245i	0.641199	−	0.437162i	−0.198584	−	0.980084i	$-0.563634\pi$
$929$	19.5434	−	13.3245i	0.641199	−	0.437162i	0.839783	+	0.542922i	$0.182682\pi$
$930$	13.6028	−	2.56391i	0.446052	−	0.0840740i
$931$	−28.3552	−	38.7845i	−0.929303	−	1.27111i
$932$		−	53.2416i		−	1.74399i
$933$	6.88869	−	6.87904i	0.225526	−	0.225210i
$934$	26.3715	+	28.4217i	0.862903	+	0.929988i
$935$	2.75326	+	1.08058i	0.0900413	+	0.0353386i
$936$	4.63816	−	0.341048i	0.151603	−	0.0111475i
$937$	3.57976	+	0.817056i	0.116946	+	0.0266921i	0.280593	−	0.959827i	$-0.409469\pi$
$937$	3.57976	+	0.817056i	0.116946	+	0.0266921i	−0.163648	+	0.986519i	$0.552326\pi$
$938$	−3.54857	−	2.73563i	−0.115865	−	0.0893216i
$939$	−1.48254	+	0.645588i	−0.0483808	+	0.0210680i
$940$	1.27378	−	16.9974i	0.0415462	−	0.554395i
$941$	31.6544	−	9.76408i	1.03190	−	0.318300i	0.267855	−	0.963459i	$-0.413685\pi$
$941$	31.6544	−	9.76408i	1.03190	−	0.318300i	0.764048	+	0.645159i	$0.223209\pi$
$942$	14.7169	+	55.0783i	0.479501	+	1.79455i
$943$	20.3604	−	7.99088i	0.663027	−	0.260219i
$944$	0.924887	+	0.445402i	0.0301025	+	0.0144966i
$945$	11.8586	−	10.5050i	0.385761	−	0.341727i
$946$	6.83411	−	3.29113i	0.222196	−	0.107004i
$947$	−28.4364	+	30.6472i	−0.924060	+	0.995900i	−0.999999	−	0.00121242i	$-0.999614\pi$
$947$	−28.4364	+	30.6472i	−0.924060	+	0.995900i	0.0759391	+	0.997112i	$0.475805\pi$
$948$	67.6215	−	2.48279i	2.19624	−	0.0806372i
$949$	0.916698	+	1.58777i	0.0297573	+	0.0515411i
$950$	−32.7018	+	56.6412i	−1.06099	+	1.83768i
$951$	11.0263	+	5.83744i	0.357551	+	0.189292i
$952$	1.13925	−	8.50531i	0.0369232	−	0.275659i
$953$	−31.9879	+	25.5095i	−1.03619	+	0.826333i	−0.985034	−	0.172357i	$-0.944862\pi$
$953$	−31.9879	+	25.5095i	−1.03619	+	0.826333i	−0.0511547	+	0.998691i	$0.516290\pi$
$954$	55.4239	−	31.8956i	1.79442	−	1.03266i
$955$	10.8864	−	15.9674i	0.352276	−	0.516694i
$956$	28.9711	−	42.4928i	0.936993	−	1.37432i
$957$	9.86585	−	3.44446i	0.318918	−	0.111343i
$958$	72.7121	−	57.9860i	2.34922	−	1.87344i
$959$	−2.94656	+	0.269613i	−0.0951494	+	0.00870626i
$960$	−5.15825	+	9.74335i	−0.166482	+	0.314465i
$961$	−11.9290	+	20.6617i	−0.384808	+	0.666506i
$962$	1.37782	+	2.38646i	0.0444228	+	0.0769426i
$963$	8.39466	+	37.0184i	0.270514	+	1.19290i
$964$	53.1799	−	57.3143i	1.71281	−	1.84597i
$965$	−8.89201	+	4.28217i	−0.286244	+	0.137848i
$966$	−47.9251	−	4.63692i	−1.54197	−	0.149191i
$967$	−10.9160	−	5.25687i	−0.351035	−	0.169049i	0.250054	−	0.968232i	$-0.419552\pi$
$967$	−10.9160	−	5.25687i	−0.351035	−	0.169049i	−0.601088	+	0.799183i	$0.705266\pi$
$968$	135.622	−	53.2275i	4.35904	−	1.71080i
$969$	−5.24954	+	1.40267i	−0.168640	+	0.0450603i
$970$	−33.0125	+	10.1830i	−1.05997	+	0.326957i
$971$	1.83334	−	24.4643i	0.0588348	−	0.785096i	−0.887273	−	0.461245i	$-0.847403\pi$
$971$	1.83334	−	24.4643i	0.0588348	−	0.785096i	0.946108	−	0.323852i	$-0.104978\pi$
$972$	67.5402	+	29.7495i	2.16635	+	0.954216i
$973$	−0.551531	−	33.5309i	−0.0176813	−	1.07495i
$974$	−100.402	−	22.9162i	−3.21710	−	0.734281i
$975$	−0.156541	+	1.38064i	−0.00501331	+	0.0442160i
$976$	82.0268	+	32.1931i	2.62561	+	1.03048i
$977$	18.9002	+	20.3696i	0.604671	+	0.651680i	0.958989	−	0.283445i	$-0.0914773\pi$
$977$	18.9002	+	20.3696i	0.604671	+	0.651680i	−0.354318	+	0.935125i	$0.615287\pi$
$978$	−31.5712	−	31.6155i	−1.00954	−	1.01095i
$979$			41.1783i			1.31607i
$980$	33.8446	−	17.6928i	1.08113	−	0.565175i
$981$	−37.0680	+	14.4882i	−1.18349	+	0.462574i
$982$	−51.5062	+	35.1163i	−1.64363	+	1.12061i
$983$	22.4257	−	20.8080i	0.715268	−	0.663672i	−0.236100	−	0.971729i	$-0.575869\pi$
$983$	22.4257	−	20.8080i	0.715268	−	0.663672i	0.951368	+	0.308057i	$0.0996788\pi$
$984$	−65.2294	−	12.3894i	−2.07944	−	0.394959i
$985$	−1.14903	+	3.72506i	−0.0366111	+	0.118690i
$986$	−0.283588	+	1.24248i	−0.00903127	+	0.0395686i
$987$	−13.8859	−	3.48733i	−0.441993	−	0.111003i
$988$	−1.57966	−	6.92094i	−0.0502557	−	0.220185i
$989$	2.10165	+	0.157497i	0.0668285	+	0.00500810i
$990$	−39.4305	+	31.3545i	−1.25318	+	0.996512i
$991$	0.596275	+	7.95673i	0.0189413	+	0.252754i	0.998634	+	0.0522494i	$0.0166391\pi$
$991$	0.596275	+	7.95673i	0.0189413	+	0.252754i	−0.979693	+	0.200505i	$0.935742\pi$
$992$	8.80943	+	22.4461i	0.279700	+	0.712663i
$993$	−13.2718	−	3.56615i	−0.421169	−	0.113168i
$994$	−21.6794	+	39.0179i	−0.687627	+	1.23757i
$995$	−3.86692	−	8.02975i	−0.122590	−	0.254560i
$996$	−93.9578	−	59.1294i	−2.97717	−	1.87359i
$997$	6.17243	−	40.9514i	0.195483	−	1.29694i	−0.648764	−	0.760989i	$-0.724714\pi$
$997$	6.17243	−	40.9514i	0.195483	−	1.29694i	0.844247	−	0.535954i	$-0.180048\pi$
$998$	−34.9197	+	20.1609i	−1.10536	+	0.638182i
$999$	0.891329	+	25.2407i	0.0282004	+	0.798579i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	147.2.o.b.110.2	✓	192
3.2	odd	2	inner	147.2.o.b.110.15	yes	192
49.45	odd	42	inner	147.2.o.b.143.15	yes	192
147.143	even	42	inner	147.2.o.b.143.2	yes	192

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
147.2.o.b.110.2	✓	192	1.1	even	1	trivial
147.2.o.b.110.15	yes	192	3.2	odd	2	inner
147.2.o.b.143.2	yes	192	147.143	even	42	inner
147.2.o.b.143.15	yes	192	49.45	odd	42	inner

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

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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	147.2.o.b.110.2

Level	$147$
Weight	$2$
Character	147.110
Analytic conductor	$1.174$
Analytic rank	$0$
Dimension	$192$
Inner twists	$4$