LMFDB - Embedded newform 360.2.bd.b.59.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(59,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 5, 3]))

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

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

chi := DirichletCharacter("360.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bd (of order $6$, degree $2$, 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:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$64$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			59.4
Character	$\chi$	$=$	360.59
Dual form			360.2.bd.b.299.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39143 - 0.252849i) q^{2} +(-0.573395 + 1.63439i) q^{3} +(1.87213 + 0.703642i) q^{4} +(-0.0677451 - 2.23504i) q^{5} +(1.21109 - 2.12915i) q^{6} +(-0.0861243 - 0.149172i) q^{7} +(-2.42702 - 1.45243i) q^{8} +(-2.34244 - 1.87430i) q^{9} +O(q^{10})$	\(q+(-1.39143 - 0.252849i) q^{2} +(-0.573395 + 1.63439i) q^{3} +(1.87213 + 0.703642i) q^{4} +(-0.0677451 - 2.23504i) q^{5} +(1.21109 - 2.12915i) q^{6} +(-0.0861243 - 0.149172i) q^{7} +(-2.42702 - 1.45243i) q^{8} +(-2.34244 - 1.87430i) q^{9} +(-0.470866 + 3.12702i) q^{10} +(-5.12773 + 2.96050i) q^{11} +(-2.22350 + 2.65633i) q^{12} +(0.642034 - 1.11203i) q^{13} +(0.0821177 + 0.229338i) q^{14} +(3.69177 + 1.17084i) q^{15} +(3.00977 + 2.63463i) q^{16} +1.64504 q^{17} +(2.78541 + 3.20023i) q^{18} -4.50738 q^{19} +(1.44584 - 4.23197i) q^{20} +(0.293187 - 0.0552260i) q^{21} +(7.88342 - 2.82277i) q^{22} +(-5.96726 - 3.44520i) q^{23} +(3.76548 - 3.13387i) q^{24} +(-4.99082 + 0.302826i) q^{25} +(-1.17452 + 1.38498i) q^{26} +(4.40647 - 2.75373i) q^{27} +(-0.0562728 - 0.339870i) q^{28} +(-2.87904 - 4.98665i) q^{29} +(-4.84077 - 2.56260i) q^{30} +(1.58213 + 0.913441i) q^{31} +(-3.52172 - 4.42691i) q^{32} +(-1.89838 - 10.0782i) q^{33} +(-2.28895 - 0.415947i) q^{34} +(-0.327570 + 0.202597i) q^{35} +(-3.06652 - 5.15718i) q^{36} -7.55047 q^{37} +(6.27169 + 1.13969i) q^{38} +(1.44936 + 1.68697i) q^{39} +(-3.08183 + 5.52289i) q^{40} +(0.429159 + 0.247775i) q^{41} +(-0.421913 + 0.00271074i) q^{42} +(-2.41051 + 1.39171i) q^{43} +(-11.6829 + 1.93436i) q^{44} +(-4.03045 + 5.36242i) q^{45} +(7.43189 + 6.30256i) q^{46} +(8.79126 - 5.07564i) q^{47} +(-6.03179 + 3.40845i) q^{48} +(3.48517 - 6.03648i) q^{49} +(7.02093 + 0.840565i) q^{50} +(-0.943258 + 2.68863i) q^{51} +(1.98445 - 1.63012i) q^{52} +5.25306i q^{53} +(-6.82756 + 2.71744i) q^{54} +(6.96422 + 11.2601i) q^{55} +(-0.00763651 + 0.487133i) q^{56} +(2.58451 - 7.36680i) q^{57} +(2.74511 + 7.66652i) q^{58} +(-2.46262 - 1.42180i) q^{59} +(6.08763 + 4.78965i) q^{60} +(-5.94281 + 3.43108i) q^{61} +(-1.97045 - 1.67102i) q^{62} +(-0.0778516 + 0.510848i) q^{63} +(3.78087 + 7.05018i) q^{64} +(-2.52894 - 1.35964i) q^{65} +(0.0931808 + 14.5031i) q^{66} +(-3.49912 - 2.02022i) q^{67} +(3.07973 + 1.15752i) q^{68} +(9.05239 - 7.77735i) q^{69} +(0.507017 - 0.199073i) q^{70} -10.9242 q^{71} +(2.96285 + 7.95120i) q^{72} -6.07834i q^{73} +(10.5059 + 1.90913i) q^{74} +(2.36678 - 8.33057i) q^{75} +(-8.43842 - 3.17158i) q^{76} +(0.883245 + 0.509942i) q^{77} +(-1.59012 - 2.71376i) q^{78} +(13.0648 - 7.54297i) q^{79} +(5.68460 - 6.90546i) q^{80} +(1.97401 + 8.78085i) q^{81} +(-0.534493 - 0.453273i) q^{82} +(7.36888 + 12.7633i) q^{83} +(0.587746 + 0.102909i) q^{84} +(-0.111443 - 3.67673i) q^{85} +(3.70594 - 1.32696i) q^{86} +(9.80094 - 1.84615i) q^{87} +(16.7450 + 0.262503i) q^{88} +15.6510i q^{89} +(6.96395 - 6.44231i) q^{90} -0.221179 q^{91} +(-8.74733 - 10.6487i) q^{92} +(-2.40010 + 2.06204i) q^{93} +(-13.5158 + 4.83951i) q^{94} +(0.305353 + 10.0742i) q^{95} +(9.25461 - 3.21748i) q^{96} +(-2.52036 + 1.45513i) q^{97} +(-6.37567 + 7.51810i) q^{98} +(17.5602 + 2.67613i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 10 q^{4} + 4 q^{9}+O(q^{10}) $ 128 * q - 10 * q^4 + 4 * q^9	$ 128 q - 10 q^{4} + 4 q^{9} - 48 q^{11} - 30 q^{14} + 14 q^{16} + 24 q^{19} - 24 q^{20} - 10 q^{24} + 14 q^{25} + 26 q^{30} + 8 q^{36} + 12 q^{40} - 24 q^{41} - 36 q^{46} - 52 q^{49} - 42 q^{50} - 68 q^{51} - 62 q^{54} - 54 q^{56} - 24 q^{60} + 68 q^{64} - 18 q^{65} + 44 q^{66} - 60 q^{74} + 10 q^{75} + 24 q^{76} + 36 q^{81} + 94 q^{84} - 74 q^{90} + 88 q^{91} - 26 q^{94} - 22 q^{96} - 76 q^{99}+O(q^{100}) $ 128 * q - 10 * q^4 + 4 * q^9 - 48 * q^11 - 30 * q^14 + 14 * q^16 + 24 * q^19 - 24 * q^20 - 10 * q^24 + 14 * q^25 + 26 * q^30 + 8 * q^36 + 12 * q^40 - 24 * q^41 - 36 * q^46 - 52 * q^49 - 42 * q^50 - 68 * q^51 - 62 * q^54 - 54 * q^56 - 24 * q^60 + 68 * q^64 - 18 * q^65 + 44 * q^66 - 60 * q^74 + 10 * q^75 + 24 * q^76 + 36 * q^81 + 94 * q^84 - 74 * q^90 + 88 * q^91 - 26 * q^94 - 22 * q^96 - 76 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−1.39143	−	0.252849i	−0.983887	−	0.178791i
$2$	−1.39143	−	0.252849i	−0.983887	−	0.178791i
$3$	−0.573395	+	1.63439i	−0.331050	+	0.943613i
$3$	−0.573395	+	1.63439i	−0.331050	+	0.943613i
$4$	1.87213	+	0.703642i	0.936067	+	0.351821i
$5$	−0.0677451	−	2.23504i	−0.0302966	−	0.999541i
$5$	−0.0677451	−	2.23504i	−0.0302966	−	0.999541i
$6$	1.21109	−	2.12915i	0.494426	−	0.869220i
$7$	−0.0861243	−	0.149172i	−0.0325519	−	0.0563816i	0.849290	−	0.527926i	$-0.177030\pi$
$7$	−0.0861243	−	0.149172i	−0.0325519	−	0.0563816i	−0.881842	+	0.471544i	$0.843697\pi$
$8$	−2.42702	−	1.45243i	−0.858082	−	0.513513i
$9$	−2.34244	−	1.87430i	−0.780812	−	0.624766i
$10$	−0.470866	+	3.12702i	−0.148901	+	0.988852i
$11$	−5.12773	+	2.96050i	−1.54607	+	0.892624i	−0.547634	+	0.836718i	$0.684471\pi$
$11$	−5.12773	+	2.96050i	−1.54607	+	0.892624i	−0.998436	+	0.0559056i	$0.982195\pi$
$12$	−2.22350	+	2.65633i	−0.641868	+	0.766815i
$13$	0.642034	−	1.11203i	0.178068	−	0.308423i	−0.763151	−	0.646221i	$-0.776349\pi$
$13$	0.642034	−	1.11203i	0.178068	−	0.308423i	0.941219	+	0.337798i	$0.109682\pi$
$14$	0.0821177	+	0.229338i	0.0219469	+	0.0612931i
$15$	3.69177	+	1.17084i	0.953210	+	0.302310i
$16$	3.00977	+	2.63463i	0.752444	+	0.658657i
$17$	1.64504			0.398981			0.199490	−	0.979900i	$-0.436071\pi$
$17$	1.64504			0.398981			0.199490	+	0.979900i	$0.436071\pi$
$18$	2.78541	+	3.20023i	0.656528	+	0.754302i
$19$	−4.50738			−1.03406			−0.517032	−	0.855966i	$-0.672963\pi$
$19$	−4.50738			−1.03406			−0.517032	+	0.855966i	$0.672963\pi$
$20$	1.44584	−	4.23197i	0.323300	−	0.946297i
$21$	0.293187	−	0.0552260i	0.0639787	−	0.0120513i
$22$	7.88342	−	2.82277i	1.68075	−	0.601817i
$23$	−5.96726	−	3.44520i	−1.24426	−	0.718374i	−0.274302	−	0.961644i	$-0.588447\pi$
$23$	−5.96726	−	3.44520i	−1.24426	−	0.718374i	−0.969959	+	0.243269i	$0.921780\pi$
$24$	3.76548	−	3.13387i	0.768626	−	0.639699i
$25$	−4.99082	+	0.302826i	−0.998164	+	0.0605653i
$26$	−1.17452	+	1.38498i	−0.230342	+	0.271616i
$27$	4.40647	−	2.75373i	0.848025	−	0.529956i
$28$	−0.0562728	−	0.339870i	−0.0106346	−	0.0642294i
$29$	−2.87904	−	4.98665i	−0.534625	−	0.925998i	−0.999181	−	0.0404541i	$-0.987120\pi$
$29$	−2.87904	−	4.98665i	−0.534625	−	0.925998i	0.464556	−	0.885544i	$-0.346214\pi$
$30$	−4.84077	−	2.56260i	−0.883800	−	0.467864i
$31$	1.58213	+	0.913441i	0.284158	+	0.164059i	0.635304	−	0.772262i	$-0.280875\pi$
$31$	1.58213	+	0.913441i	0.284158	+	0.164059i	−0.351146	+	0.936321i	$0.614208\pi$
$32$	−3.52172	−	4.42691i	−0.622557	−	0.782574i
$33$	−1.89838	−	10.0782i	−0.330465	−	1.75439i
$34$	−2.28895	−	0.415947i	−0.392552	−	0.0713343i
$35$	−0.327570	+	0.202597i	−0.0553695	+	0.0342452i
$36$	−3.06652	−	5.15718i	−0.511086	−	0.859529i
$37$	−7.55047			−1.24129			−0.620645	−	0.784092i	$-0.713129\pi$
$37$	−7.55047			−1.24129			−0.620645	+	0.784092i	$0.713129\pi$
$38$	6.27169	+	1.13969i	1.01740	+	0.184882i
$39$	1.44936	+	1.68697i	0.232083	+	0.270131i
$40$	−3.08183	+	5.52289i	−0.487280	+	0.873246i
$41$	0.429159	+	0.247775i	0.0670234	+	0.0386960i	0.533137	−	0.846029i	$-0.321013\pi$
$41$	0.429159	+	0.247775i	0.0670234	+	0.0386960i	−0.466114	+	0.884725i	$0.654346\pi$
$42$	−0.421913	+	0.00271074i	−0.0651025	+	0.000418276i
$43$	−2.41051	+	1.39171i	−0.367599	+	0.212233i	−0.672409	−	0.740180i	$-0.734740\pi$
$43$	−2.41051	+	1.39171i	−0.367599	+	0.212233i	0.304810	+	0.952413i	$0.401407\pi$
$44$	−11.6829	+	1.93436i	−1.76127	+	0.291616i
$45$	−4.03045	+	5.36242i	−0.600823	+	0.799382i
$46$	7.43189	+	6.30256i	1.09577	+	0.929262i
$47$	8.79126	−	5.07564i	1.28234	−	0.740357i	0.305062	−	0.952333i	$-0.401323\pi$
$47$	8.79126	−	5.07564i	1.28234	−	0.740357i	0.977275	+	0.211975i	$0.0679896\pi$
$48$	−6.03179	+	3.40845i	−0.870613	+	0.491968i
$49$	3.48517	−	6.03648i	0.497881	−	0.862355i
$50$	7.02093	+	0.840565i	0.992909	+	0.118874i
$51$	−0.943258	+	2.68863i	−0.132082	+	0.376483i
$52$	1.98445	−	1.63012i	0.275193	−	0.226057i
$53$			5.25306i			0.721564i	0.932650	+	0.360782i	$0.117490\pi$
$53$			5.25306i			0.721564i	−0.932650	+	0.360782i	$0.882510\pi$
$54$	−6.82756	+	2.71744i	−0.929113	+	0.369797i
$55$	6.96422	+	11.2601i	0.939055	+	1.51832i
$56$	−0.00763651	+	0.487133i	−0.00102047	+	0.0650959i
$57$	2.58451	−	7.36680i	0.342327	−	0.975756i
$58$	2.74511	+	7.66652i	0.360450	+	1.00666i
$59$	−2.46262	−	1.42180i	−0.320606	−	0.185102i	0.331056	−	0.943611i	$-0.392595\pi$
$59$	−2.46262	−	1.42180i	−0.320606	−	0.185102i	−0.651663	+	0.758509i	$0.725928\pi$
$60$	6.08763	+	4.78965i	0.785909	+	0.618342i
$61$	−5.94281	+	3.43108i	−0.760899	+	0.439305i	−0.829619	−	0.558331i	$-0.811442\pi$
$61$	−5.94281	+	3.43108i	−0.760899	+	0.439305i	0.0687193	+	0.997636i	$0.478109\pi$
$62$	−1.97045	−	1.67102i	−0.250247	−	0.212220i
$63$	−0.0778516	+	0.510848i	−0.00980838	+	0.0643608i
$64$	3.78087	+	7.05018i	0.472609	+	0.881272i
$65$	−2.52894	−	1.35964i	−0.313676	−	0.168642i
$66$	0.0931808	+	14.5031i	0.0114698	+	1.78521i
$67$	−3.49912	−	2.02022i	−0.427486	−	0.246809i	0.270789	−	0.962639i	$-0.412715\pi$
$67$	−3.49912	−	2.02022i	−0.427486	−	0.246809i	−0.698275	+	0.715830i	$0.746049\pi$
$68$	3.07973	+	1.15752i	0.373473	+	0.140370i
$69$	9.05239	−	7.77735i	1.08978	−	0.936283i
$70$	0.507017	−	0.199073i	0.0606001	−	0.0237938i
$71$	−10.9242			−1.29647			−0.648234	−	0.761441i	$-0.724492\pi$
$71$	−10.9242			−1.29647			−0.648234	+	0.761441i	$0.724492\pi$
$72$	2.96285	+	7.95120i	0.349175	+	0.937058i
$73$		−	6.07834i		−	0.711415i	−0.934597	−	0.355708i	$-0.884240\pi$
$73$		−	6.07834i		−	0.711415i	0.934597	−	0.355708i	$-0.115760\pi$
$74$	10.5059	+	1.90913i	1.22129	+	0.221932i
$75$	2.36678	−	8.33057i	0.273292	−	0.961931i
$76$	−8.43842	−	3.17158i	−0.967953	−	0.363806i
$77$	0.883245	+	0.509942i	0.100655	+	0.0581133i
$78$	−1.59012	−	2.71376i	−0.180046	−	0.307273i
$79$	13.0648	−	7.54297i	1.46991	−	0.848650i	0.470476	−	0.882413i	$-0.344082\pi$
$79$	13.0648	−	7.54297i	1.46991	−	0.848650i	0.999430	+	0.0337624i	$0.0107490\pi$
$80$	5.68460	−	6.90546i	0.635558	−	0.772053i
$81$	1.97401	+	8.78085i	0.219334	+	0.975650i
$82$	−0.534493	−	0.453273i	−0.0590249	−	0.0500557i
$83$	7.36888	+	12.7633i	0.808839	+	1.40095i	0.913668	+	0.406460i	$0.133237\pi$
$83$	7.36888	+	12.7633i	0.808839	+	1.40095i	−0.104829	+	0.994490i	$0.533430\pi$
$84$	0.587746	+	0.102909i	0.0641283	+	0.0112282i
$85$	−0.111443	−	3.67673i	−0.0120877	−	0.398797i
$86$	3.70594	−	1.32696i	0.399621	−	0.143090i
$87$	9.80094	−	1.84615i	1.05077	−	0.197928i
$88$	16.7450	+	0.262503i	1.78503	+	0.0279829i
$89$			15.6510i			1.65900i	0.558507	+	0.829500i	$0.311374\pi$
$89$			15.6510i			1.65900i	−0.558507	+	0.829500i	$0.688626\pi$
$90$	6.96395	−	6.44231i	0.734065	−	0.679079i
$91$	−0.221179			−0.0231858
$92$	−8.74733	−	10.6487i	−0.911972	−	1.11020i
$93$	−2.40010	+	2.06204i	−0.248879	+	0.213824i
$94$	−13.5158	+	4.83951i	−1.39404	+	0.499157i
$95$	0.305353	+	10.0742i	0.0313286	+	1.03359i
$96$	9.25461	−	3.21748i	0.944545	−	0.328382i
$97$	−2.52036	+	1.45513i	−0.255904	+	0.147746i	−0.622465	−	0.782648i	$-0.713869\pi$
$97$	−2.52036	+	1.45513i	−0.255904	+	0.147746i	0.366561	+	0.930394i	$0.380535\pi$
$98$	−6.37567	+	7.51810i	−0.644040	+	0.759443i
$99$	17.5602	+	2.67613i	1.76487	+	0.268961i
$100$	−9.55657	−	2.94482i	−0.955657	−	0.294482i
$101$	3.88282	+	6.72523i	0.386355	+	0.669186i	0.991956	−	0.126582i	$-0.0404008\pi$
$101$	3.88282	+	6.72523i	0.386355	+	0.669186i	−0.605602	+	0.795768i	$0.707067\pi$
$102$	1.99229	−	3.50253i	0.197266	−	0.346802i
$103$	−2.30230	+	3.98771i	−0.226853	+	0.392920i	−0.956874	−	0.290504i	$-0.906177\pi$
$103$	−2.30230	+	3.98771i	−0.226853	+	0.392920i	0.730021	+	0.683425i	$0.239510\pi$
$104$	−3.17339	+	1.76642i	−0.311176	+	0.173212i
$105$	−0.143295	−	0.651545i	−0.0139841	−	0.0635843i
$106$	1.32823	−	7.30925i	0.129009	−	0.709937i
$107$	12.8347			1.24078			0.620391	−	0.784293i	$-0.286974\pi$
$107$	12.8347			1.24078			0.620391	+	0.784293i	$0.286974\pi$
$108$	10.1871	−	2.05478i	0.980258	−	0.197721i
$109$		−	3.05983i		−	0.293079i	−0.989205	−	0.146539i	$-0.953186\pi$
$109$		−	3.05983i		−	0.293079i	0.989205	−	0.146539i	$-0.0468135\pi$
$110$	−6.84307	−	17.4285i	−0.652462	−	1.66175i
$111$	4.32941	−	12.3404i	0.410929	−	1.17130i
$112$	0.133797	−	0.675879i	0.0126426	−	0.0638645i
$113$	−5.47307	+	9.47964i	−0.514863	+	0.891769i	0.484988	+	0.874521i	$0.338824\pi$
$113$	−5.47307	+	9.47964i	−0.514863	+	0.891769i	−0.999851	+	0.0172484i	$0.994509\pi$
$114$	−5.45885	+	9.59687i	−0.511268	+	0.898829i
$115$	−7.29592	+	13.5705i	−0.680348	+	1.26545i
$116$	−1.88114	−	11.3615i	−0.174659	−	1.05489i
$117$	−3.58821	+	1.40151i	−0.331730	+	0.129569i
$118$	3.06706	+	2.60100i	0.282346	+	0.239441i
$119$	−0.141678	−	0.245393i	−0.0129876	−	0.0224952i
$120$	−7.25943	−	8.20370i	−0.662692	−	0.748892i
$121$	12.0291	−	20.8350i	1.09355	−	1.89409i
$122$	9.13653	−	3.27147i	0.827183	−	0.296185i
$123$	−0.651038	+	0.559338i	−0.0587021	+	0.0504339i
$124$	2.31922	+	2.82333i	0.208272	+	0.253543i
$125$	1.01493	+	11.1342i	0.0907784	+	0.995871i
$126$	0.237492	−	0.691122i	0.0211575	−	0.0615701i
$127$	−11.1583			−0.990139			−0.495069	−	0.868853i	$-0.664857\pi$
$127$	−11.1583			−0.990139			−0.495069	+	0.868853i	$0.664857\pi$
$128$	−3.47817	−	10.7658i	−0.307429	−	0.951571i
$129$	−0.892413	−	4.73770i	−0.0785726	−	0.417131i
$130$	3.17505	+	2.53127i	0.278470	+	0.222007i
$131$	−12.3426	−	7.12598i	−1.07837	−	0.622600i	−0.147917	−	0.989000i	$-0.547257\pi$
$131$	−12.3426	−	7.12598i	−1.07837	−	0.622600i	−0.930458	+	0.366400i	$0.880590\pi$
$132$	3.53745	−	20.2036i	0.307895	−	1.75850i
$133$	0.388195	+	0.672373i	0.0336608	+	0.0583022i
$134$	4.35796	+	3.69574i	0.376471	+	0.319263i
$135$	−6.45322	−	9.66209i	−0.555405	−	0.831580i
$136$	−3.99255	−	2.38931i	−0.342358	−	0.204882i
$137$	2.19609	+	3.80374i	0.187624	+	0.324975i	0.944458	−	0.328633i	$-0.106588\pi$
$137$	2.19609	+	3.80374i	0.187624	+	0.324975i	−0.756833	+	0.653608i	$0.773255\pi$
$138$	−14.5622	+	8.53272i	−1.23962	+	0.726353i
$139$	−1.66571	+	2.88510i	−0.141284	+	0.244711i	−0.927980	−	0.372629i	$-0.878456\pi$
$139$	−1.66571	+	2.88510i	−0.141284	+	0.244711i	0.786696	+	0.617340i	$0.211790\pi$
$140$	−0.755812	+	0.148797i	−0.0638778	+	0.0125756i
$141$	3.25468	+	17.2787i	0.274094	+	1.45513i
$142$	15.2003	+	2.76219i	1.27558	+	0.231797i
$143$			7.60296i			0.635791i
$144$	−2.11213	−	11.8127i	−0.176011	−	0.984388i
$145$	−10.9503	+	6.77260i	−0.909375	+	0.562434i
$146$	−1.53690	+	8.45756i	−0.127195	+	0.699952i
$147$	7.86757	+	9.15740i	0.648906	+	0.755289i
$148$	−14.1355	−	5.31283i	−1.16193	−	0.436712i
$149$	5.05975	−	8.76374i	0.414511	−	0.717953i	−0.580866	−	0.813999i	$-0.697286\pi$
$149$	5.05975	−	8.76374i	0.414511	−	0.717953i	0.995377	+	0.0960456i	$0.0306195\pi$
$150$	−5.39958	+	10.9929i	−0.440873	+	0.897569i
$151$	−5.24445	+	3.02788i	−0.426787	+	0.246406i	−0.697977	−	0.716120i	$-0.745916\pi$
$151$	−5.24445	+	3.02788i	−0.426787	+	0.246406i	0.271190	+	0.962526i	$0.412583\pi$
$152$	10.9395	+	6.54667i	0.887311	+	0.531005i
$153$	−3.85340	−	3.08329i	−0.311529	−	0.249270i
$154$	−1.10003	−	0.932874i	−0.0886431	−	0.0751732i
$155$	1.93440	−	3.59800i	0.155374	−	0.288998i
$156$	1.52637	+	4.17806i	0.122207	+	0.334512i
$157$	1.87553	−	3.24852i	0.149684	−	0.259260i	−0.781427	−	0.623997i	$-0.785508\pi$
$157$	1.87553	−	3.24852i	0.149684	−	0.259260i	0.931111	+	0.364737i	$0.118841\pi$
$158$	−20.0860	+	7.19206i	−1.59795	+	0.572170i
$159$	−8.58554	−	3.01208i	−0.680877	−	0.238874i
$160$	−9.65574	+	8.17108i	−0.763354	+	0.645981i
$161$			1.18686i			0.0935379i
$162$	−0.526459	−	12.7170i	−0.0413625	−	0.999144i
$163$			5.56391i			0.435799i	0.975971	+	0.217900i	$0.0699206\pi$
$163$			5.56391i			0.435799i	−0.975971	+	0.217900i	$0.930079\pi$
$164$	0.629098	+	0.765843i	0.0491243	+	0.0598023i
$165$	−22.3967	+	4.92571i	−1.74358	+	0.383466i
$166$	−7.02606	−	19.6224i	−0.545328	−	1.52299i
$167$	−16.2254	−	9.36774i	−1.25556	−	0.724897i	−0.283351	−	0.959016i	$-0.591446\pi$
$167$	−16.2254	−	9.36774i	−1.25556	−	0.724897i	−0.972208	+	0.234119i	$0.924779\pi$
$168$	−0.791784	−	0.291801i	−0.0610875	−	0.0225129i
$169$	5.67559	+	9.83040i	0.436584	+	0.756185i
$170$	−0.774593	+	5.14408i	−0.0594086	+	0.394533i
$171$	10.5582	+	8.44817i	0.807409	+	0.646048i
$172$	−5.49206	+	0.909328i	−0.418766	+	0.0693356i
$173$	3.18742	−	1.84026i	0.242335	−	0.139912i	−0.373915	−	0.927463i	$-0.621985\pi$
$173$	3.18742	−	1.84026i	0.242335	−	0.139912i	0.616249	+	0.787551i	$0.288651\pi$
$174$	−14.1041	+	0.0906170i	−1.06923	+	0.00686966i
$175$	0.475004	+	0.718409i	0.0359069	+	0.0543066i
$176$	−23.2331	−	4.59923i	−1.75126	−	0.346680i
$177$	3.73582	−	3.20963i	0.280802	−	0.241250i
$178$	3.95734	−	21.7772i	0.296615	−	1.63227i
$179$		−	1.82729i		−	0.136578i	−0.997666	−	0.0682889i	$-0.978246\pi$
$179$		−	1.82729i		−	0.136578i	0.997666	−	0.0682889i	$-0.0217539\pi$
$180$	−11.3188	+	7.20317i	−0.843651	+	0.536893i
$181$		−	13.0200i		−	0.967769i	−0.875132	−	0.483884i	$-0.839225\pi$
$181$		−	13.0200i		−	0.967769i	0.875132	−	0.483884i	$-0.160775\pi$
$182$	0.307754	+	0.0559249i	0.0228122	+	0.00414543i
$183$	−2.20014	−	11.6802i	−0.162639	−	0.863427i
$184$	9.47875	+	17.0286i	0.698783	+	1.25537i
$185$	0.511508	+	16.8756i	0.0376068	+	1.24072i
$186$	3.86095	−	2.26232i	0.283098	−	0.165881i
$187$	−8.43532	+	4.87013i	−0.616852	+	0.356140i
$188$	20.0298	−	3.31637i	1.46083	−	0.241871i
$189$	−0.790283	−	0.420157i	−0.0574846	−	0.0305619i
$190$	2.12237	−	14.0947i	0.153973	−	1.02254i
$191$	9.05637	+	15.6861i	0.655296	+	1.13501i	0.981820	+	0.189816i	$0.0607893\pi$
$191$	9.05637	+	15.6861i	0.655296	+	1.13501i	−0.326524	+	0.945189i	$0.605877\pi$
$192$	−13.6906	+	2.13686i	−0.988037	+	0.154215i
$193$	−0.533501	−	0.308017i	−0.0384023	−	0.0221716i	0.480676	−	0.876898i	$-0.340391\pi$
$193$	−0.533501	−	0.308017i	−0.0384023	−	0.0221716i	−0.519078	+	0.854727i	$0.673725\pi$
$194$	3.87482	−	1.38744i	0.278196	−	0.0996121i
$195$	3.67225	−	3.35365i	0.262976	−	0.240160i
$196$	10.7722	−	8.84880i	0.769445	−	0.632057i
$197$		−	20.3423i		−	1.44933i	−0.689101	−	0.724665i	$-0.741995\pi$
$197$		−	20.3423i		−	1.44933i	0.689101	−	0.724665i	$-0.258005\pi$
$198$	−23.7571	−	8.16373i	−1.68835	−	0.580171i
$199$		−	4.58144i		−	0.324770i	−0.986727	−	0.162385i	$-0.948081\pi$
$199$		−	4.58144i		−	0.324770i	0.986727	−	0.162385i	$-0.0519186\pi$
$200$	12.5527	+	6.51387i	0.887608	+	0.460600i
$201$	5.30820	−	4.56054i	0.374412	−	0.321675i
$202$	−3.70218	−	10.3394i	−0.260485	−	0.727480i
$203$	−0.495911	+	0.858944i	−0.0348062	+	0.0602860i
$204$	−3.65774	+	4.36976i	−0.256093	+	0.305944i
$205$	0.524714	−	0.975974i	0.0366476	−	0.0681650i
$206$	4.21178	−	4.96647i	0.293448	−	0.346030i
$207$	7.52060	+	19.2546i	0.522718	+	1.33829i
$208$	4.86217	−	1.65546i	0.337131	−	0.114785i
$209$	23.1126	−	13.3441i	1.59873	−	0.923030i
$210$	0.0346411	+	0.942808i	0.00239047	+	0.0650600i
$211$	1.31139	−	2.27139i	0.0902796	−	0.156369i	−0.817349	−	0.576143i	$-0.804557\pi$
$211$	1.31139	−	2.27139i	0.0902796	−	0.156369i	0.907629	+	0.419774i	$0.137891\pi$
$212$	−3.69628	+	9.83444i	−0.253861	+	0.675432i
$213$	6.26391	−	17.8544i	0.429196	−	1.22336i
$214$	−17.8586	−	3.24526i	−1.22079	−	0.221841i
$215$	3.27382	+	5.29330i	0.223273	+	0.361000i
$216$	−14.6942	+	0.283257i	−0.999814	+	0.0192732i
$217$		−	0.314678i		−	0.0213617i
$218$	−0.773677	+	4.25753i	−0.0524000	+	0.288357i
$219$	9.93435	+	3.48529i	0.671301	+	0.235514i
$220$	5.11484	+	25.9808i	0.344842	+	1.75163i
$221$	1.05617	−	1.82934i	0.0710457	−	0.123055i
$222$	−9.14431	+	16.0761i	−0.613726	+	1.07895i
$223$	−1.52530	−	2.64190i	−0.102142	−	0.176915i	0.810425	−	0.585842i	$-0.199236\pi$
$223$	−1.52530	−	2.64190i	−0.102142	−	0.176915i	−0.912567	+	0.408927i	$0.865903\pi$
$224$	−0.357064	+	0.906605i	−0.0238573	+	0.0605751i
$225$	12.2583	+	8.64494i	0.817218	+	0.576329i
$226$	10.0123	−	11.8064i	0.666008	−	0.785347i
$227$	−4.32159	−	7.48522i	−0.286834	−	0.496811i	0.686218	−	0.727396i	$-0.259270\pi$
$227$	−4.32159	−	7.48522i	−0.286834	−	0.496811i	−0.973052	+	0.230584i	$0.925936\pi$
$228$	10.0221	−	11.9731i	0.663733	−	0.792936i
$229$	−13.5206	−	7.80614i	−0.893469	−	0.515845i	−0.0183934	−	0.999831i	$-0.505855\pi$
$229$	−13.5206	−	7.80614i	−0.893469	−	0.515845i	−0.875076	+	0.483986i	$0.839188\pi$
$230$	13.5830	−	17.0376i	0.895637	−	1.12342i
$231$	−1.33989	+	1.15117i	−0.0881583	+	0.0757411i
$232$	−0.255280	+	16.2843i	−0.0167600	+	1.06912i
$233$	13.0435			0.854511			0.427255	−	0.904131i	$-0.359480\pi$
$233$	13.0435			0.854511			0.427255	+	0.904131i	$0.359480\pi$
$234$	5.34710	−	1.04282i	0.349551	−	0.0681712i
$235$	−11.9398	−	19.3050i	−0.778868	−	1.25932i
$236$	−3.60993	−	4.39460i	−0.234986	−	0.286064i
$237$	4.83683	+	25.6780i	0.314186	+	1.66797i
$238$	0.135087	+	0.377270i	0.00875638	+	0.0244548i
$239$	10.7999	−	18.7060i	0.698589	−	1.20999i	−0.270367	−	0.962757i	$-0.587145\pi$
$239$	10.7999	−	18.7060i	0.698589	−	1.20999i	0.968956	−	0.247234i	$-0.0795217\pi$
$240$	8.02666	+	13.2504i	0.518118	+	0.855309i
$241$	−3.39174	−	5.87466i	−0.218481	−	0.378420i	0.735863	−	0.677131i	$-0.236777\pi$
$241$	−3.39174	−	5.87466i	−0.218481	−	0.378420i	−0.954344	+	0.298711i	$0.903443\pi$
$242$	−22.0057	+	25.9488i	−1.41458	+	1.66805i
$243$	−15.4832	−	1.80860i	−0.993247	−	0.116022i
$244$	−13.5400	+	2.24184i	−0.866810	+	0.143519i
$245$	−13.7279	−	7.38055i	−0.877043	−	0.471526i
$246$	1.04730	−	0.613664i	0.0667734	−	0.0391258i
$247$	−2.89389	+	5.01236i	−0.184134	+	0.318929i
$248$	−2.51314	−	4.51487i	−0.159585	−	0.286695i
$249$	−25.0854	+	4.72519i	−1.58972	+	0.299447i
$250$	1.40306	−	15.7490i	0.0887375	−	0.996055i
$251$		−	21.1228i		−	1.33326i	−0.745390	−	0.666629i	$-0.767737\pi$
$251$		−	21.1228i		−	1.33326i	0.745390	−	0.666629i	$-0.232263\pi$
$252$	−0.505203	+	0.901596i	−0.0318248	+	0.0567952i
$253$	40.7981			2.56495
$254$	15.5259	+	2.82137i	0.974185	+	0.177028i
$255$	6.07310	+	1.92608i	0.380312	+	0.120616i
$256$	2.11749	+	15.8593i	0.132343	+	0.991204i
$257$	−5.25543	+	9.10268i	−0.327825	+	0.567809i	−0.982080	−	0.188464i	$-0.939649\pi$
$257$	−5.25543	+	9.10268i	−0.327825	+	0.567809i	0.654255	+	0.756274i	$0.272982\pi$
$258$	0.0438036	+	6.81780i	0.00272709	+	0.424458i
$259$	0.650279	+	1.12632i	0.0404064	+	0.0699859i
$260$	−3.77782	−	4.32489i	−0.234290	−	0.268218i
$261$	−2.60250	+	17.0771i	−0.161090	+	1.05705i
$262$	15.3720	+	13.0361i	0.949683	+	0.805372i
$263$	−14.3552	+	8.28799i	−0.885181	+	0.511059i	−0.872363	−	0.488859i	$-0.837413\pi$
$263$	−14.3552	+	8.28799i	−0.885181	+	0.511059i	−0.0128176	+	0.999918i	$0.504080\pi$
$264$	−10.0306	+	27.2174i	−0.617338	+	1.67511i
$265$	11.7408	−	0.355870i	0.721233	−	0.0218609i
$266$	−0.370136	−	1.03371i	−0.0226945	−	0.0633810i
$267$	−25.5797	−	8.97419i	−1.56545	−	0.549212i
$268$	−5.12932	−	6.24426i	−0.313323	−	0.381429i
$269$	31.8392			1.94127			0.970635	−	0.240559i	$-0.0773306\pi$
$269$	31.8392			1.94127			0.970635	+	0.240559i	$0.0773306\pi$
$270$	6.53613	+	15.0758i	0.397776	+	0.917483i
$271$		−	11.4824i		−	0.697507i	−0.937215	−	0.348753i	$-0.886605\pi$
$271$		−	11.4824i		−	0.697507i	0.937215	−	0.348753i	$-0.113395\pi$
$272$	4.95120	+	4.33406i	0.300210	+	0.262791i
$273$	0.126823	−	0.361492i	0.00767567	−	0.0218785i
$274$	−2.09392	−	5.84790i	−0.126498	−	0.353284i
$275$	24.6951	−	16.3281i	1.48917	−	0.984623i
$276$	22.4198	−	8.19060i	1.34951	−	0.493016i
$277$	−6.57258	−	11.3840i	−0.394908	−	0.684001i	0.598181	−	0.801361i	$-0.295890\pi$
$277$	−6.57258	−	11.3840i	−0.394908	−	0.684001i	−0.993089	+	0.117360i	$0.962557\pi$
$278$	3.04721	−	3.59323i	0.182760	−	0.215508i
$279$	−1.99397	−	5.10505i	−0.119376	−	0.305631i
$280$	1.08928	−	0.0159330i	0.0650969	−	0.000952178i
$281$	−14.9502	+	8.63150i	−0.891854	+	0.514912i	−0.874549	−	0.484938i	$-0.838842\pi$
$281$	−14.9502	+	8.63150i	−0.891854	+	0.514912i	−0.0173058	+	0.999850i	$0.505509\pi$
$282$	−0.159754	−	24.8649i	−0.00951322	−	1.48068i
$283$	−3.65324	−	2.10920i	−0.217163	−	0.125379i	0.387473	−	0.921881i	$-0.373348\pi$
$283$	−3.65324	−	2.10920i	−0.217163	−	0.125379i	−0.604636	+	0.796502i	$0.706681\pi$
$284$	−20.4516	−	7.68676i	−1.21358	−	0.456125i
$285$	−16.6402	−	5.27742i	−0.985680	−	0.312608i
$286$	1.92240	−	10.5790i	0.113674	−	0.625547i
$287$		−	0.0853578i		−	0.00503851i
$288$	−0.0479515	+	16.9705i	−0.00282557	+	0.999996i
$289$	−14.2938			−0.840815
$290$	16.9490	−	6.65480i	0.995281	−	0.390783i
$291$	−0.933083	−	4.95361i	−0.0546983	−	0.290386i
$292$	4.27697	−	11.3795i	0.250291	−	0.665933i
$293$	23.2611	+	13.4298i	1.35893	+	0.784579i	0.989480	−	0.144672i	$-0.0462127\pi$
$293$	23.2611	+	13.4298i	1.35893	+	0.784579i	0.369450	+	0.929251i	$0.379546\pi$
$294$	−8.63170	−	14.7312i	−0.503411	−	0.859138i
$295$	−3.01094	+	5.60039i	−0.175304	+	0.326067i
$296$	18.3252	+	10.9666i	1.06513	+	0.637419i
$297$	−14.4428	+	27.1657i	−0.838055	+	1.57632i
$298$	−9.25617	+	10.9147i	−0.536195	+	0.632274i
$299$	−7.66237	+	4.42387i	−0.443126	+	0.255839i
$300$	10.2927	−	13.9306i	0.594247	−	0.804282i
$301$	0.415207	+	0.239720i	0.0239321	+	0.0138172i
$302$	8.06286	−	2.88702i	0.463965	−	0.166129i
$303$	−13.2180	+	2.48980i	−0.759355	+	0.143035i
$304$	−13.5662	−	11.8753i	−0.778075	−	0.681093i
$305$	8.07121	+	13.0500i	0.462156	+	0.747241i
$306$	4.58211	+	5.26451i	0.261942	+	0.300952i
$307$		−	24.2699i		−	1.38516i	−0.721342	−	0.692579i	$-0.756474\pi$
$307$		−	24.2699i		−	1.38516i	0.721342	−	0.692579i	$-0.243526\pi$
$308$	1.29474	+	1.57617i	0.0737745	+	0.0898105i
$309$	−5.19732	−	6.04939i	−0.295665	−	0.344138i
$310$	−3.60132	+	4.51724i	−0.204541	+	0.256562i
$311$	−5.07993	+	8.79870i	−0.288056	+	0.498928i	−0.973346	−	0.229342i	$-0.926342\pi$
$311$	−5.07993	+	8.79870i	−0.288056	+	0.498928i	0.685289	+	0.728271i	$0.259676\pi$
$312$	−1.06741	−	6.19940i	−0.0604301	−	0.350972i
$313$	20.3436	−	11.7454i	1.14989	−	0.663887i	0.201027	−	0.979586i	$-0.435572\pi$
$313$	20.3436	−	11.7454i	1.14989	−	0.663887i	0.948860	+	0.315699i	$0.102239\pi$
$314$	−3.43105	+	4.04585i	−0.193625	+	0.228320i
$315$	1.14704	+	0.139394i	0.0646284	+	0.00785397i
$316$	29.7666	−	4.92850i	1.67450	−	0.277250i
$317$	−3.45854	+	1.99679i	−0.194251	+	0.112151i	−0.593971	−	0.804486i	$-0.702441\pi$
$317$	−3.45854	+	1.99679i	−0.194251	+	0.112151i	0.399720	+	0.916637i	$0.369107\pi$
$318$	11.1845	+	6.36194i	0.627198	+	0.356760i
$319$	29.5259	+	17.0468i	1.65313	+	0.954438i
$320$	15.5013	−	8.92801i	0.866549	−	0.499091i
$321$	−7.35938	+	20.9769i	−0.410761	+	1.17082i
$322$	0.300097	−	1.65143i	0.0167238	−	0.0920307i
$323$	−7.41482			−0.412571
$324$	−2.48296	+	17.8279i	−0.137942	+	0.990440i
$325$	−2.86752	+	5.74439i	−0.159061	+	0.318642i
$326$	1.40683	−	7.74178i	0.0779172	−	0.428777i
$327$	5.00095	+	1.75449i	0.276553	+	0.0970237i
$328$	−0.681701	−	1.22468i	−0.0376407	−	0.0676217i
$329$	−1.51428	−	0.874271i	−0.0834851	−	0.0482001i
$330$	32.4088	−	1.19078i	1.78404	−	0.0655502i
$331$	10.6290	+	18.4099i	0.584221	+	1.01190i	0.994972	+	0.100153i	$0.0319331\pi$
$331$	10.6290	+	18.4099i	0.584221	+	1.01190i	−0.410751	+	0.911747i	$0.634734\pi$
$332$	4.81475	+	29.0796i	0.264244	+	1.59595i
$333$	17.6865	+	14.1518i	0.969214	+	0.775516i
$334$	20.2078	+	17.1371i	1.10572	+	0.937700i
$335$	−4.27823	+	7.95755i	−0.233745	+	0.434767i
$336$	1.02793	+	0.606221i	0.0560781	+	0.0330721i
$337$	21.0812	+	12.1712i	1.14837	+	0.663009i	0.948488	−	0.316812i	$-0.102612\pi$
$337$	21.0812	+	12.1712i	1.14837	+	0.663009i	0.199877	+	0.979821i	$0.435946\pi$
$338$	−5.41155	−	15.1133i	−0.294349	−	0.822058i
$339$	−12.3552	−	14.3807i	−0.671040	−	0.781052i
$340$	2.37847	−	6.96175i	0.128990	−	0.377554i
$341$	−10.8170			−0.585771
$342$	−12.5549	−	14.4247i	−0.678892	−	0.779996i
$343$	−2.40637			−0.129932
$344$	7.87172	+	0.123400i	0.424415	+	0.00665331i
$345$	−17.9960	−	19.7056i	−0.968870	−	1.06091i
$346$	−4.90036	+	1.75464i	−0.263445	+	0.0943303i
$347$	6.16424	−	10.6768i	0.330914	−	0.573159i	−0.651778	−	0.758410i	$-0.725976\pi$
$347$	6.16424	−	10.6768i	0.330914	−	0.573159i	0.982691	+	0.185251i	$0.0593098\pi$
$348$	19.6477	+	3.44012i	1.05323	+	0.184410i
$349$	−15.2791	+	8.82138i	−0.817870	+	0.472198i	−0.849681	−	0.527296i	$-0.823206\pi$
$349$	−15.2791	+	8.82138i	−0.817870	+	0.472198i	0.0318113	+	0.999494i	$0.489872\pi$
$350$	−0.479284	−	1.11972i	−0.0256188	−	0.0598514i
$351$	−0.233143	−	6.66813i	−0.0124443	−	0.355919i
$352$	31.1643	+	12.2740i	1.66106	+	0.654205i
$353$	−16.6038	−	28.7586i	−0.883732	−	1.53067i	−0.847161	−	0.531337i	$-0.821690\pi$
$353$	−16.6038	−	28.7586i	−0.883732	−	1.53067i	−0.0365710	−	0.999331i	$-0.511644\pi$
$354$	−6.00967	+	3.52136i	−0.319411	+	0.187158i
$355$	0.740064	+	24.4161i	0.0392785	+	1.29587i
$356$	−11.0127	+	29.3007i	−0.583671	+	1.55293i
$357$	0.482305	−	0.0908490i	0.0255263	−	0.00480824i
$358$	−0.462028	+	2.54253i	−0.0244189	+	0.134377i
$359$	−32.7035			−1.72602			−0.863011	−	0.505185i	$-0.831424\pi$
$359$	−32.7035			−1.72602			−0.863011	+	0.505185i	$0.831424\pi$
$360$	17.5705	−	7.16074i	0.926049	−	0.377404i
$361$	1.31647			0.0692879
$362$	−3.29210	+	18.1164i	−0.173029	+	0.952175i
$363$	27.1550	+	31.6069i	1.42527	+	1.65893i
$364$	−0.414076	−	0.155631i	−0.0217035	−	0.00815727i
$365$	−13.5853	+	0.411778i	−0.711089	+	0.0215534i
$366$	0.107992	+	16.8085i	0.00564485	+	0.878593i
$367$	7.57550	+	13.1212i	0.395438	+	0.684919i	0.993157	−	0.116787i	$-0.0372595\pi$
$367$	7.57550	+	13.1212i	0.395438	+	0.684919i	−0.597719	+	0.801706i	$0.703926\pi$
$368$	−8.88330	−	26.0908i	−0.463074	−	1.36008i
$369$	−0.540873	−	1.38477i	−0.0281567	−	0.0720882i
$370$	3.55526	−	23.6105i	0.184829	−	1.22745i
$371$	0.783609	−	0.452417i	0.0406829	−	0.0234883i
$372$	−5.94425	+	2.17161i	−0.308195	+	0.112593i
$373$	4.31361	−	7.47139i	0.223350	−	0.386854i	−0.732473	−	0.680796i	$-0.761634\pi$
$373$	4.31361	−	7.47139i	0.223350	−	0.386854i	0.955823	+	0.293942i	$0.0949673\pi$
$374$	12.9685	−	4.64357i	0.670587	−	0.240113i
$375$	−18.7795	−	4.72549i	−0.969769	−	0.244023i
$376$	−28.7086	−	0.450048i	−1.48053	−	0.0232095i
$377$	−7.39377			−0.380799
$378$	0.993384	+	0.784440i	0.0510941	+	0.0403473i
$379$	−6.68125			−0.343193			−0.171596	−	0.985167i	$-0.554892\pi$
$379$	−6.68125			−0.343193			−0.171596	+	0.985167i	$0.554892\pi$
$380$	−6.51696	+	19.0751i	−0.334313	+	0.978531i
$381$	6.39811	−	18.2370i	0.327785	−	0.934308i
$382$	−8.63505	−	24.1159i	−0.441808	−	1.23388i
$383$	−13.0854	−	7.55484i	−0.668631	−	0.386034i	0.126927	−	0.991912i	$-0.459489\pi$
$383$	−13.0854	−	7.55484i	−0.668631	−	0.386034i	−0.795558	+	0.605878i	$0.792822\pi$
$384$	19.5898	+	0.488388i	0.999689	+	0.0249229i
$385$	1.07991	−	2.00864i	0.0550371	−	0.102370i
$386$	0.664446	+	0.563478i	0.0338194	+	0.0286803i
$387$	8.25493	+	1.25803i	0.419622	+	0.0639491i
$388$	−5.74234	+	0.950768i	−0.291523	+	0.0482679i
$389$	17.0062	+	29.4556i	0.862249	+	1.49346i	0.869753	+	0.493487i	$0.164278\pi$
$389$	17.0062	+	29.4556i	0.862249	+	1.49346i	−0.00750389	+	0.999972i	$0.502389\pi$
$390$	−5.95764	+	3.73783i	−0.301677	+	0.189273i
$391$	−9.81638	−	5.66749i	−0.496436	−	0.286617i
$392$	−17.2262	+	9.58870i	−0.870053	+	0.484303i
$393$	18.7238	−	16.0865i	0.944489	−	0.811457i
$394$	−5.14354	+	28.3048i	−0.259128	+	1.42598i
$395$	−17.7439	−	28.6894i	−0.892794	−	1.44352i
$396$	30.9921	+	17.3662i	1.55741	+	0.872684i
$397$	−22.4651			−1.12749			−0.563746	−	0.825948i	$-0.690640\pi$
$397$	−22.4651			−1.12749			−0.563746	+	0.825948i	$0.690640\pi$
$398$	−1.15841	+	6.37474i	−0.0580661	+	0.319537i
$399$	−1.32151	+	0.248925i	−0.0661581	+	0.0124618i
$400$	−15.8191	−	12.2375i	−0.790954	−	0.611875i
$401$	−10.4747	−	6.04759i	−0.523083	−	0.302002i	0.215112	−	0.976589i	$-0.430988\pi$
$401$	−10.4747	−	6.04759i	−0.523083	−	0.302002i	−0.738195	+	0.674587i	$0.764322\pi$
$402$	−8.53910	+	5.00347i	−0.425892	+	0.249551i
$403$	2.03156	−	1.17292i	0.101199	−	0.0584273i
$404$	2.53699	+	15.3227i	0.126220	+	0.762331i
$405$	19.4918	−	5.00685i	0.968557	−	0.248793i
$406$	0.907207	−	1.06977i	0.0450239	−	0.0530916i
$407$	38.7168	−	22.3532i	1.91912	−	1.10801i
$408$	6.19436	−	5.15534i	0.306667	−	0.255227i
$409$	−8.39114	+	14.5339i	−0.414915	+	0.718654i	−0.995420	−	0.0956029i	$-0.969522\pi$
$409$	−8.39114	+	14.5339i	−0.414915	+	0.718654i	0.580504	+	0.814257i	$0.302855\pi$
$410$	−0.976875	+	1.22532i	−0.0482444	+	0.0605143i
$411$	−7.47600	+	1.40821i	−0.368764	+	0.0694619i
$412$	−7.11614	+	5.84553i	−0.350587	+	0.287988i
$413$			0.489805i			0.0241017i
$414$	−5.59584	−	28.6929i	−0.275021	−	1.41018i
$415$	28.0272	−	17.3344i	1.37580	−	0.850912i
$416$	−7.18394	+	1.07405i	−0.352221	+	0.0526595i
$417$	−3.76026	−	4.37672i	−0.184141	−	0.214329i
$418$	−35.5336	+	12.7233i	−1.73800	+	0.622317i
$419$	−8.28312	−	4.78226i	−0.404657	−	0.233629i	0.283835	−	0.958873i	$-0.408393\pi$
$419$	−8.28312	−	4.78226i	−0.404657	−	0.233629i	−0.688491	+	0.725245i	$0.741727\pi$
$420$	0.190188	−	1.32061i	0.00928022	−	0.0644390i
$421$	1.85300	−	1.06983i	0.0903095	−	0.0521402i	−0.454165	−	0.890918i	$-0.650062\pi$
$421$	1.85300	−	1.06983i	0.0903095	−	0.0521402i	0.544475	+	0.838777i	$0.316729\pi$
$422$	−2.39902	+	2.82889i	−0.116782	+	0.137708i
$423$	−30.1062	−	4.58809i	−1.46381	−	0.223081i
$424$	7.62973	−	12.7493i	0.370533	−	0.619161i
$425$	−8.21010	+	0.498161i	−0.398248	+	0.0241644i
$426$	−13.2302	+	23.2593i	−0.641007	+	1.12692i
$427$	1.02364	+	0.591000i	0.0495375	+	0.0286005i
$428$	24.0284	+	9.03107i	1.16146	+	0.436533i
$429$	−12.4262	−	4.35950i	−0.599941	−	0.210479i
$430$	−3.21688	−	8.19303i	−0.155132	−	0.395103i
$431$	−4.04984			−0.195074			−0.0975369	−	0.995232i	$-0.531096\pi$
$431$	−4.04984			−0.195074			−0.0975369	+	0.995232i	$0.531096\pi$
$432$	20.5175	+	3.32129i	0.987150	+	0.159796i
$433$			11.1272i			0.534739i	0.963594	+	0.267369i	$0.0861544\pi$
$433$			11.1272i			0.534739i	−0.963594	+	0.267369i	$0.913846\pi$
$434$	−0.0795661	+	0.437851i	−0.00381929	+	0.0210175i
$435$	−4.79018	−	21.7804i	−0.229672	−	1.04429i
$436$	2.15303	−	5.72842i	0.103111	−	0.274342i
$437$	26.8967	+	15.5288i	1.28664	+	0.742845i
$438$	−12.9417	−	7.36142i	−0.618376	−	0.351742i
$439$	−3.43311	+	1.98211i	−0.163854	+	0.0946009i	−0.579684	−	0.814841i	$-0.696824\pi$
$439$	−3.43311	+	1.98211i	−0.163854	+	0.0946009i	0.415831	+	0.909442i	$0.363491\pi$
$440$	−0.547692	−	37.4437i	−0.0261102	−	1.78506i
$441$	−19.4779	+	7.60783i	−0.927521	+	0.362278i
$442$	−1.93213	+	2.27834i	−0.0919021	+	0.108370i
$443$	−6.06270	−	10.5009i	−0.288047	−	0.498913i	0.685296	−	0.728264i	$-0.259673\pi$
$443$	−6.06270	−	10.5009i	−0.288047	−	0.498913i	−0.973344	+	0.229352i	$0.926339\pi$
$444$	16.7885	−	20.0565i	0.796745	−	0.951840i
$445$	34.9806	−	1.06028i	1.65824	−	0.0502620i
$446$	1.45434	+	4.06169i	0.0688652	+	0.192326i
$447$	11.4221	+	13.2947i	0.540247	+	0.628816i
$448$	0.726062	−	1.17119i	0.0343032	−	0.0553335i
$449$		−	18.6577i		−	0.880509i	−0.897873	−	0.440255i	$-0.854888\pi$
$449$		−	18.6577i		−	0.880509i	0.897873	−	0.440255i	$-0.145112\pi$
$450$	−14.8706	−	15.1283i	−0.701007	−	0.713154i
$451$	−2.93415			−0.138164
$452$	−16.9166	+	13.8961i	−0.795690	+	0.653616i
$453$	−1.94159	−	10.3076i	−0.0912238	−	0.484294i
$454$	4.12055	+	11.5078i	0.193387	+	0.540090i
$455$	0.0149838	+	0.494344i	0.000702451	+	0.0231752i
$456$	−16.9725	+	14.1255i	−0.794808	+	0.661489i
$457$	−16.7765	+	9.68592i	−0.784771	+	0.453088i	−0.838119	−	0.545488i	$-0.816344\pi$
$457$	−16.7765	+	9.68592i	−0.784771	+	0.453088i	0.0533472	+	0.998576i	$0.483011\pi$
$458$	16.8392	+	14.2804i	0.786844	+	0.667277i
$459$	7.24881	−	4.52999i	0.338346	−	0.211442i
$460$	−23.2077	+	20.2720i	−1.08206	+	0.945189i
$461$	−11.1037	−	19.2322i	−0.517152	−	0.895733i	−0.999802	−	0.0199196i	$-0.993659\pi$
$461$	−11.1037	−	19.2322i	−0.517152	−	0.895733i	0.482650	−	0.875813i	$-0.339674\pi$
$462$	2.15543	−	1.26297i	0.100280	−	0.0587587i
$463$	−11.6814	+	20.2328i	−0.542882	+	0.940300i	0.455855	+	0.890054i	$0.349334\pi$
$463$	−11.6814	+	20.2328i	−0.542882	+	0.940300i	−0.998737	+	0.0502455i	$0.984000\pi$
$464$	4.47268	−	22.5939i	0.207639	−	1.04890i
$465$	4.77134	+	5.22463i	0.221266	+	0.242286i
$466$	−18.1491	−	3.29805i	−0.840742	−	0.152779i
$467$	−36.8016			−1.70297			−0.851487	−	0.524375i	$-0.824299\pi$
$467$	−36.8016			−1.70297			−0.851487	+	0.524375i	$0.824299\pi$
$468$	−7.70377	+	0.0989956i	−0.356107	+	0.00457607i
$469$			0.695960i			0.0321365i
$470$	11.7321	+	29.8804i	0.541163	+	1.37828i
$471$	4.23391	+	4.92803i	0.195088	+	0.227072i
$472$	3.91178	+	7.02753i	0.180054	+	0.323468i
$473$	8.24029	−	14.2726i	0.378889	−	0.656255i
$474$	−0.237413	−	36.9521i	−0.0109047	−	1.69727i
$475$	22.4955	−	1.36495i	1.03217	−	0.0626284i
$476$	−0.0925709	−	0.559100i	−0.00424298	−	0.0256263i
$477$	9.84581	−	12.3050i	0.450809	−	0.563406i
$478$	−19.7571	+	23.2973i	−0.903669	+	1.06559i
$479$	−18.1514	−	31.4391i	−0.829357	−	1.43649i	−0.898543	−	0.438885i	$-0.855374\pi$
$479$	−18.1514	−	31.4391i	−0.829357	−	1.43649i	0.0691860	−	0.997604i	$-0.477960\pi$
$480$	−7.81815	−	20.4665i	−0.356848	−	0.934162i
$481$	−4.84766	+	8.39639i	−0.221034	+	0.382842i
$482$	3.23395	+	9.03175i	0.147302	+	0.411385i
$483$	−1.93979	−	0.680541i	−0.0882636	−	0.0309657i
$484$	37.1805	−	30.5418i	1.69002	−	1.38826i
$485$	3.42302	+	5.53453i	0.155431	+	0.251310i
$486$	21.0864	+	6.43145i	0.956499	+	0.291736i
$487$	−35.2947			−1.59935			−0.799677	−	0.600430i	$-0.794996\pi$
$487$	−35.2947			−1.59935			−0.799677	+	0.600430i	$0.794996\pi$
$488$	19.4068	+	0.304229i	0.878503	+	0.0137718i
$489$	−9.09358	−	3.19032i	−0.411226	−	0.144271i
$490$	17.2352	+	13.7406i	0.778606	+	0.620736i
$491$	22.8438	+	13.1889i	1.03093	+	0.595205i	0.917250	−	0.398312i	$-0.130404\pi$
$491$	22.8438	+	13.1889i	1.03093	+	0.595205i	0.113676	+	0.993518i	$0.463737\pi$
$492$	−1.61240	+	0.589059i	−0.0726928	+	0.0265568i
$493$	−4.73614	−	8.20323i	−0.213305	−	0.369455i
$494$	5.29401	−	6.24262i	0.238189	−	0.280869i
$495$	4.79163	−	39.4292i	0.215368	−	1.77221i
$496$	2.35527	+	6.91756i	0.105755	+	0.310608i
$497$	0.940842	+	1.62959i	0.0422025	+	0.0730970i
$498$	36.0992	−	0.231933i	1.61765	−	0.0103932i
$499$	16.8070	−	29.1105i	0.752383	−	1.30316i	−0.194282	−	0.980946i	$-0.562238\pi$
$499$	16.8070	−	29.1105i	0.752383	−	1.30316i	0.946665	−	0.322219i	$-0.104429\pi$
$500$	−5.93439	+	21.5588i	−0.265394	+	0.964140i
$501$	24.6141	−	21.1471i	1.09968	−	0.944785i
$502$	−5.34088	+	29.3908i	−0.238375	+	1.31177i
$503$		−	6.88103i		−	0.306810i	−0.988163	−	0.153405i	$-0.950976\pi$
$503$		−	6.88103i		−	0.306810i	0.988163	−	0.153405i	$-0.0490239\pi$
$504$	0.930920	−	1.12676i	0.0414665	−	0.0501901i
$505$	14.7681	−	9.13386i	0.657173	−	0.406451i
$506$	−56.7675	−	10.3158i	−2.52362	−	0.458591i
$507$	−19.3210	+	3.63939i	−0.858077	+	0.161631i
$508$	−20.8898	−	7.85145i	−0.926836	−	0.348352i
$509$	−9.40572	+	16.2912i	−0.416901	+	0.722094i	−0.995626	−	0.0934287i	$-0.970217\pi$
$509$	−9.40572	+	16.2912i	−0.416901	+	0.722094i	0.578725	+	0.815523i	$0.303551\pi$
$510$	−7.96326	−	4.21557i	−0.352619	−	0.186669i
$511$	−0.906716	+	0.523493i	−0.0401107	+	0.0231579i
$512$	1.06367	−	22.6024i	0.0470081	−	0.998895i
$513$	−19.8616	+	12.4121i	−0.876912	+	0.548008i
$514$	9.61415	−	11.3369i	0.424062	−	0.500048i
$515$	9.06866	+	4.87560i	0.399613	+	0.214844i
$516$	1.66293	−	9.49755i	0.0732063	−	0.418106i
$517$	−30.0528	+	52.0530i	−1.32172	+	2.28929i
$518$	−0.620027	−	1.73161i	−0.0272424	−	0.0760826i
$519$	1.18004	+	6.26466i	0.0517980	+	0.274988i
$520$	4.16301	+	6.97299i	0.182560	+	0.305786i
$521$			12.4068i			0.543550i	0.962361	+	0.271775i	$0.0876107\pi$
$521$			12.4068i			0.543550i	−0.962361	+	0.271775i	$0.912389\pi$
$522$	7.93911	−	23.1035i	0.347485	−	1.01121i
$523$			18.3802i			0.803712i	0.915703	+	0.401856i	$0.131635\pi$
$523$			18.3802i			0.803712i	−0.915703	+	0.401856i	$0.868365\pi$
$524$	−18.0928	−	22.0255i	−0.790387	−	0.962190i
$525$	−1.44652	+	0.364408i	−0.0631314	+	0.0159041i
$526$	22.0698	−	7.90242i	0.962291	−	0.344562i
$527$	2.60266	+	1.50265i	0.113374	+	0.0654563i
$528$	20.8387	−	35.3347i	0.906887	−	1.53775i
$529$	12.2388	+	21.1983i	0.532123	+	0.921664i
$530$	−16.4265	−	2.47349i	−0.713520	−	0.107442i
$531$	3.10367	+	7.94616i	0.134688	+	0.344834i
$532$	0.253643	+	1.53192i	0.0109968	+	0.0664173i
$533$	0.551069	−	0.318160i	0.0238695	−	0.0137810i
$534$	33.3232	+	18.9547i	1.44204	+	0.820252i
$535$	−0.869492	−	28.6862i	−0.0375914	−	1.24021i
$536$	5.55821	+	9.98537i	0.240078	+	0.431302i
$537$	2.98649	+	1.04776i	0.128877	+	0.0452140i
$538$	−44.3019	−	8.05052i	−1.90999	−	0.347082i
$539$			41.2713i			1.77768i
$540$	−5.28264	−	22.6295i	−0.227329	−	0.973818i
$541$			14.8307i			0.637621i	0.947818	+	0.318811i	$0.103283\pi$
$541$			14.8307i			0.637621i	−0.947818	+	0.318811i	$0.896717\pi$
$542$	−2.90332	+	15.9769i	−0.124708	+	0.686268i
$543$	21.2797	+	7.46561i	0.913200	+	0.320380i
$544$	−5.79336	−	7.28244i	−0.248388	−	0.312232i
$545$	−6.83885	+	0.207289i	−0.292944	+	0.00887928i
$546$	−0.267868	+	0.470922i	−0.0114637	+	0.0201536i
$547$	24.2616	−	14.0075i	1.03735	−	0.598916i	0.118270	−	0.992981i	$-0.462265\pi$
$547$	24.2616	−	14.0075i	1.03735	−	0.598916i	0.919082	+	0.394066i	$0.128932\pi$
$548$	1.43490	+	8.66637i	0.0612960	+	0.370209i
$549$	20.3515	+	3.10151i	0.868582	+	0.132369i
$550$	−38.4899	+	16.4753i	−1.64122	+	0.702507i
$551$	12.9769	+	22.4767i	0.552836	+	0.957541i
$552$	−33.2664	+	5.72780i	−1.41591	+	0.243791i
$553$	−2.25040	−	1.29927i	−0.0956965	−	0.0552504i
$554$	6.26682	+	17.5019i	0.266251	+	0.743586i
$555$	−27.8746	−	8.84040i	−1.18321	−	0.375254i
$556$	−5.14852	+	4.22923i	−0.218346	+	0.179359i
$557$		−	42.1111i		−	1.78431i	−0.451733	−	0.892153i	$-0.649194\pi$
$557$		−	42.1111i		−	1.78431i	0.451733	−	0.892153i	$-0.350806\pi$
$558$	1.48365	+	7.60748i	0.0628079	+	0.322050i
$559$			3.57409i			0.151168i
$560$	−1.51968	−	0.253254i	−0.0642182	−	0.0107019i
$561$	−3.12291	−	16.5791i	−0.131849	−	0.699969i
$562$	22.9846	−	8.22995i	0.969546	−	0.347160i
$563$	11.5455	−	19.9975i	0.486586	−	0.842792i	−0.513295	−	0.858212i	$-0.671575\pi$
$563$	11.5455	−	19.9975i	0.486586	−	0.842792i	0.999881	+	0.0154200i	$0.00490853\pi$
$564$	−6.06479	+	34.6381i	−0.255374	+	1.45853i
$565$	21.5582	+	11.5903i	0.906958	+	0.487609i
$566$	4.54991	+	3.85852i	0.191247	+	0.162186i
$567$	1.13984	−	1.05071i	0.0478689	−	0.0441257i
$568$	26.5134	+	15.8667i	1.11248	+	0.665753i
$569$	33.9268	−	19.5877i	1.42229	−	0.821157i	0.425792	−	0.904821i	$-0.359996\pi$
$569$	33.9268	−	19.5877i	1.42229	−	0.821157i	0.996494	+	0.0836639i	$0.0266622\pi$
$570$	21.8192	+	11.5506i	0.913906	+	0.483802i
$571$	9.18209	−	15.9038i	0.384258	−	0.665555i	−0.607408	−	0.794390i	$-0.707790\pi$
$571$	9.18209	−	15.9038i	0.384258	−	0.665555i	0.991666	+	0.128835i	$0.0411238\pi$
$572$	−5.34976	+	14.2338i	−0.223685	+	0.595143i
$573$	−30.8300	+	5.80727i	−1.28794	+	0.242602i
$574$	−0.0215827	+	0.118769i	−0.000900843	+	0.00495733i
$575$	30.8248	+	15.3873i	1.28548	+	0.641696i
$576$	4.35770	−	23.6011i	0.181571	−	0.983378i
$577$		−	34.1443i		−	1.42144i	−0.703473	−	0.710722i	$-0.748368\pi$
$577$		−	34.1443i		−	1.42144i	0.703473	−	0.710722i	$-0.251632\pi$
$578$	19.8888	+	3.61419i	0.827266	+	0.150330i
$579$	0.809326	−	0.695331i	0.0336344	−	0.0288970i
$580$	−25.2660	+	4.97411i	−1.04911	+	0.206539i
$581$	1.26928	−	2.19846i	0.0526586	−	0.0912073i
$582$	0.0457998	+	7.12851i	0.00189846	+	0.295486i
$583$	−15.5517	−	26.9363i	−0.644085	−	1.11559i
$584$	−8.82838	+	14.7523i	−0.365321	+	0.610453i
$585$	3.37551	+	7.92485i	0.139560	+	0.327652i
$586$	−28.9704	−	24.5682i	−1.19676	−	1.01490i
$587$	9.84372	+	17.0498i	0.406294	+	0.703721i	0.994471	−	0.105011i	$-0.0334876\pi$
$587$	9.84372	+	17.0498i	0.406294	+	0.703721i	−0.588177	+	0.808732i	$0.700154\pi$
$588$	8.28561	+	22.6798i	0.341693	+	0.935300i
$589$	−7.13124	−	4.11722i	−0.293838	−	0.169647i
$590$	5.60556	−	7.03121i	0.230777	−	0.289470i
$591$	33.2472	+	11.6642i	1.36761	+	0.479801i
$592$	−22.7252	−	19.8927i	−0.934001	−	0.817584i
$593$	−18.6595			−0.766254			−0.383127	−	0.923696i	$-0.625153\pi$
$593$	−18.6595			−0.766254			−0.383127	+	0.923696i	$0.625153\pi$
$594$	26.9649	−	34.1473i	1.10638	−	1.40108i
$595$	−0.538866	+	0.333280i	−0.0220914	+	0.0136632i
$596$	15.6391	−	12.8466i	0.640601	−	0.526219i
$597$	7.48785	+	2.62698i	0.306457	+	0.107515i
$598$	11.7802	−	4.21807i	0.481728	−	0.172490i
$599$	−13.8060	+	23.9127i	−0.564097	+	0.977044i	0.433036	+	0.901377i	$0.357442\pi$
$599$	−13.8060	+	23.9127i	−0.564097	+	0.977044i	−0.997133	+	0.0756679i	$0.975891\pi$
$600$	−17.8438	+	16.7809i	−0.728471	+	0.685077i
$601$	7.79243	+	13.4969i	0.317860	+	0.550549i	0.980041	−	0.198794i	$-0.0637025\pi$
$601$	7.79243	+	13.4969i	0.317860	+	0.550549i	−0.662181	+	0.749344i	$0.730369\pi$
$602$	−0.517117	−	0.438537i	−0.0210761	−	0.0178734i
$603$	4.40998	+	11.2906i	0.179588	+	0.459790i
$604$	−11.9489	+	1.97839i	−0.486192	+	0.0804995i
$605$	−47.3820	−	25.4741i	−1.92635	−	1.03567i
$606$	19.0214	−	0.122210i	0.772693	−	0.00496446i
$607$	−1.36520	+	2.36459i	−0.0554116	+	0.0959757i	−0.892401	−	0.451244i	$-0.850980\pi$
$607$	−1.36520	+	2.36459i	−0.0554116	+	0.0959757i	0.836989	+	0.547220i	$0.184314\pi$
$608$	15.8737	+	19.9538i	0.643764	+	0.809232i
$609$	−1.11949	−	1.30302i	−0.0453641	−	0.0528012i
$610$	−7.93082	−	20.1989i	−0.321109	−	0.817830i
$611$		−	13.0349i		−	0.527336i
$612$	−5.04454	−	8.48376i	−0.203914	−	0.342935i
$613$	−29.1515			−1.17742			−0.588709	−	0.808345i	$-0.700364\pi$
$613$	−29.1515			−1.17742			−0.588709	+	0.808345i	$0.700364\pi$
$614$	−6.13663	+	33.7698i	−0.247654	+	1.36284i
$615$	1.29425	+	1.41720i	0.0521892	+	0.0571472i
$616$	−1.40300	−	2.52050i	−0.0565284	−	0.101554i
$617$	0.133118	−	0.230568i	0.00535915	−	0.00928232i	−0.863333	−	0.504634i	$-0.831627\pi$
$617$	0.133118	−	0.230568i	0.00535915	−	0.00928232i	0.868693	+	0.495352i	$0.164961\pi$
$618$	5.70211	+	9.73141i	0.229372	+	0.391455i
$619$	−1.08653	−	1.88192i	−0.0436713	−	0.0756409i	0.843364	−	0.537343i	$-0.180572\pi$
$619$	−1.08653	−	1.88192i	−0.0436713	−	0.0756409i	−0.887035	+	0.461703i	$0.847239\pi$
$620$	6.15315	−	5.37481i	0.247117	−	0.215858i
$621$	−35.7817	+	1.25106i	−1.43587	+	0.0502034i
$622$	9.29310	−	10.9583i	0.372619	−	0.439387i
$623$	2.33468	−	1.34793i	0.0935370	−	0.0540036i
$624$	−0.0822926	+	8.89590i	−0.00329434	+	0.356121i
$625$	24.8166	−	3.02271i	0.992664	−	0.120908i
$626$	−31.2764	+	11.1990i	−1.25006	+	0.447600i
$627$	8.55671	+	45.4264i	0.341722	+	1.81416i
$628$	5.79704	−	4.76196i	0.231327	−	0.190023i
$629$	−12.4208			−0.495251
$630$	−1.56078	−	0.483985i	−0.0621828	−	0.0192824i
$631$			34.3602i			1.36786i	0.729548	+	0.683929i	$0.239730\pi$
$631$			34.3602i			1.36786i	−0.729548	+	0.683929i	$0.760270\pi$
$632$	−42.6642	−	0.668823i	−1.69709	−	0.0266044i
$633$	2.96038	+	3.44572i	0.117665	+	0.136955i
$634$	5.31720	−	1.90390i	0.211173	−	0.0756134i
$635$	0.755920	+	24.9393i	0.0299978	+	0.989684i
$636$	−13.9538	−	11.6802i	−0.553306	−	0.463149i
$637$	−4.47519	−	7.75125i	−0.177313	−	0.307116i
$638$	−36.7729	−	31.1850i	−1.45585	−	1.23463i
$639$	25.5893	+	20.4753i	1.01230	+	0.809990i
$640$	−23.8264	+	8.50318i	−0.941820	+	0.336118i
$641$	11.0683	−	6.39030i	0.437173	−	0.252402i	−0.265225	−	0.964187i	$-0.585446\pi$
$641$	11.0683	−	6.39030i	0.437173	−	0.252402i	0.702398	+	0.711785i	$0.252113\pi$
$642$	15.5440	−	27.3270i	0.613475	−	1.07851i
$643$	10.0173	+	5.78351i	0.395045	+	0.228079i	0.684344	−	0.729159i	$-0.260089\pi$
$643$	10.0173	+	5.78351i	0.395045	+	0.228079i	−0.289299	+	0.957239i	$0.593422\pi$
$644$	−0.835127	+	2.22197i	−0.0329086	+	0.0875577i
$645$	−10.5285	+	2.31554i	−0.414559	+	0.0911742i
$646$	10.3172	+	1.87483i	0.405924	+	0.0737642i
$647$		−	15.7856i		−	0.620597i	−0.950639	−	0.310298i	$-0.899571\pi$
$647$		−	15.7856i		−	0.620597i	0.950639	−	0.310298i	$-0.100429\pi$
$648$	7.96264	−	24.1784i	0.312802	−	0.949818i
$649$	16.8369			0.660907
$650$	5.44241	−	7.26785i	0.213469	−	0.285068i
$651$	0.514305	+	0.180435i	0.0201572	+	0.00707180i
$652$	−3.91500	+	10.4164i	−0.153323	+	0.407937i
$653$	−15.6788	−	9.05213i	−0.613557	−	0.354237i	0.160799	−	0.986987i	$-0.448593\pi$
$653$	−15.6788	−	9.05213i	−0.613557	−	0.354237i	−0.774356	+	0.632750i	$0.781926\pi$
$654$	−6.51483	−	3.70574i	−0.254750	−	0.144906i
$655$	−15.0907	+	28.0689i	−0.589643	+	1.09674i
$656$	0.638877	+	1.87642i	0.0249440	+	0.0732619i
$657$	−11.3926	+	14.2381i	−0.444468	+	0.555482i
$658$	1.88595	+	1.59937i	0.0735221	+	0.0623499i
$659$	−12.3850	+	7.15048i	−0.482451	+	0.278543i	−0.721437	−	0.692480i	$-0.756518\pi$
$659$	−12.3850	+	7.15048i	−0.482451	+	0.278543i	0.238986	+	0.971023i	$0.423185\pi$
$660$	−45.3955	−	6.53765i	−1.76702	−	0.254478i
$661$	−15.5124	−	8.95607i	−0.603361	−	0.348351i	0.167001	−	0.985957i	$-0.446592\pi$
$661$	−15.5124	−	8.95607i	−0.603361	−	0.348351i	−0.770363	+	0.637606i	$0.779925\pi$
$662$	−10.1345	−	28.3036i	−0.393888	−	1.10005i
$663$	2.38425	+	2.77513i	0.0925964	+	0.107777i
$664$	0.653387	−	41.6795i	0.0253563	−	1.61748i
$665$	1.47648	−	0.913182i	0.0572556	−	0.0354117i
$666$	−21.0312	−	24.1633i	−0.814942	−	0.936308i
$667$			39.6755i			1.53624i
$668$	−23.7846	−	28.9545i	−0.920253	−	1.12028i
$669$	5.19249	−	0.978081i	0.200753	−	0.0378148i
$670$	7.96490	−	9.99060i	0.307711	−	0.385970i
$671$	20.3154	−	35.1874i	0.784269	−	1.35839i
$672$	−1.27700	−	1.10342i	−0.0492615	−	0.0425655i
$673$	−13.8594	+	8.00172i	−0.534240	+	0.308444i	−0.742741	−	0.669578i	$-0.766475\pi$
$673$	−13.8594	+	8.00172i	−0.534240	+	0.308444i	0.208501	+	0.978022i	$0.433141\pi$
$674$	−26.2554	−	22.2657i	−1.01132	−	0.857644i
$675$	−21.1580	+	15.0778i	−0.814372	+	0.580344i
$676$	3.70837	+	22.3974i	0.142630	+	0.861439i
$677$	4.38965	−	2.53437i	0.168708	−	0.0974037i	−0.413268	−	0.910609i	$-0.635613\pi$
$677$	4.38965	−	2.53437i	0.168708	−	0.0974037i	0.581977	+	0.813206i	$0.302280\pi$
$678$	13.5551	+	23.1337i	0.520582	+	0.888443i
$679$	0.434129	+	0.250644i	0.0166603	+	0.00961884i
$680$	−5.06973	+	9.08537i	−0.194415	+	0.348408i
$681$	14.7117	−	2.77116i	0.563754	−	0.106191i
$682$	15.0510	+	2.73506i	0.576333	+	0.104731i
$683$	−29.0417			−1.11125			−0.555624	−	0.831433i	$-0.687521\pi$
$683$	−29.0417			−1.11125			−0.555624	+	0.831433i	$0.687521\pi$
$684$	13.8220	+	23.2453i	0.528496	+	0.888808i
$685$	8.35273	−	5.16603i	0.319142	−	0.197384i
$686$	3.34829	+	0.608449i	0.127838	+	0.0232307i
$687$	20.5109	−	17.6219i	0.782541	−	0.672319i
$688$	−10.9217	−	2.16206i	−0.416386	−	0.0824278i
$689$	5.84159	+	3.37264i	0.222547	+	0.128488i
$690$	20.0575	+	31.9691i	0.763576	+	1.21704i
$691$	5.73559	+	9.93434i	0.218192	+	0.377920i	0.954255	−	0.298993i	$-0.0966507\pi$
$691$	5.73559	+	9.93434i	0.218192	+	0.377920i	−0.736063	+	0.676913i	$0.763317\pi$
$692$	7.26216	−	1.20241i	0.276066	−	0.0457086i
$693$	−1.11316	−	2.84997i	−0.0422855	−	0.108261i
$694$	−11.2767	+	13.2973i	−0.428057	+	0.504759i
$695$	6.56116	+	3.52749i	0.248879	+	0.133805i
$696$	−26.4685	−	9.75458i	−1.00329	−	0.369747i
$697$	0.705983	+	0.407600i	0.0267410	+	0.0154389i
$698$	23.4902	−	8.41099i	0.889117	−	0.318361i
$699$	−7.47911	+	21.3182i	−0.282886	+	0.806328i
$700$	0.383769	+	1.67919i	0.0145051	+	0.0634674i
$701$	−4.95703			−0.187224			−0.0936122	−	0.995609i	$-0.529841\pi$
$701$	−4.95703			−0.187224			−0.0936122	+	0.995609i	$0.529841\pi$
$702$	−1.36163	+	9.33717i	−0.0513915	+	0.352409i
$703$	34.0329			1.28357
$704$	−40.2593	−	24.9582i	−1.51733	−	0.940647i
$705$	38.3980	−	8.44489i	1.44615	−	0.318053i
$706$	15.8314	+	44.2138i	0.595822	+	1.66401i
$707$	0.668810	−	1.15841i	0.0251532	−	0.0435666i
$708$	9.25239	−	3.38017i	0.347726	−	0.127035i
$709$	−24.4626	+	14.1235i	−0.918712	+	0.530419i	−0.883224	−	0.468951i	$-0.844632\pi$
$709$	−24.4626	+	14.1235i	−0.918712	+	0.530419i	−0.0354881	+	0.999370i	$0.511299\pi$
$710$	5.14385	−	34.1604i	0.193045	−	1.28202i
$711$	−44.7413	−	6.81843i	−1.67793	−	0.255711i
$712$	22.7320	−	37.9852i	0.851918	−	1.42356i
$713$	−6.29397	−	10.9015i	−0.235711	−	0.408264i
$714$	−0.694063	+	0.00445927i	−0.0259746	+	0.000166884i
$715$	16.9929	−	0.515063i	0.635499	−	0.0192623i
$716$	1.28576	−	3.42092i	0.0480509	−	0.127846i
$717$	24.3802	+	28.3772i	0.910496	+	1.05977i
$718$	45.5045	+	8.26905i	1.69821	+	0.308598i
$719$	12.6600			0.472137			0.236069	−	0.971736i	$-0.424141\pi$
$719$	12.6600			0.472137			0.236069	+	0.971736i	$0.424141\pi$
$720$	−26.2587	+	5.52094i	−0.978604	+	0.205753i
$721$	0.793137			0.0295380
$722$	−1.83177	−	0.332869i	−0.0681715	−	0.0123881i
$723$	11.5463	−	2.17490i	0.429410	−	0.0808856i
$724$	9.16142	−	24.3752i	0.340482	−	0.905897i
$725$	15.8789	+	24.0156i	0.589727	+	0.891918i
$726$	−29.7924	−	50.8448i	−1.10570	−	1.88703i
$727$	−3.13635	−	5.43233i	−0.116321	−	0.201474i	0.801986	−	0.597343i	$-0.203777\pi$
$727$	−3.13635	−	5.43233i	−0.116321	−	0.201474i	−0.918307	+	0.395869i	$0.870443\pi$
$728$	0.536806	+	0.321248i	0.0198953	+	0.0119062i
$729$	11.8339	−	24.2685i	0.438294	−	0.898832i
$730$	19.0071	+	2.86208i	0.703485	+	0.105930i
$731$	−3.96538	+	2.28941i	−0.146665	+	0.0846770i
$732$	4.09975	−	23.4150i	0.151531	−	0.865445i
$733$	3.46943	−	6.00923i	0.128146	−	0.221956i	−0.794812	−	0.606856i	$-0.792431\pi$
$733$	3.46943	−	6.00923i	0.128146	−	0.221956i	0.922958	+	0.384900i	$0.125764\pi$
$734$	−7.22308	−	20.1726i	−0.266609	−	0.744583i
$735$	19.9342	−	18.2047i	0.735283	−	0.671491i
$736$	5.76342	+	38.5496i	0.212443	+	1.42096i
$737$	23.9234			0.881231
$738$	0.402447	+	2.06356i	0.0148143	+	0.0759608i
$739$	−7.09632			−0.261042			−0.130521	−	0.991446i	$-0.541665\pi$
$739$	−7.09632			−0.261042			−0.130521	+	0.991446i	$0.541665\pi$
$740$	−10.9168	+	31.9534i	−0.401309	+	1.17463i
$741$	−6.53279	−	7.60380i	−0.239988	−	0.279332i
$742$	−1.20473	+	0.431370i	−0.0442269	+	0.0158361i
$743$	11.7464	+	6.78177i	0.430933	+	0.248799i	0.699744	−	0.714394i	$-0.253297\pi$
$743$	11.7464	+	6.78177i	0.430933	+	0.248799i	−0.268811	+	0.963193i	$0.586631\pi$
$744$	8.82007	−	1.51863i	0.323359	−	0.0556759i
$745$	−19.9301	−	10.7150i	−0.730182	−	0.392569i
$746$	−7.89121	+	9.30520i	−0.288918	+	0.340687i
$747$	6.66105	−	43.7086i	0.243715	−	1.59921i
$748$	−19.2189	+	3.18210i	−0.702712	+	0.116349i
$749$	−1.10538	−	1.91458i	−0.0403899	−	0.0699573i
$750$	24.9355	+	11.3236i	0.910514	+	0.413478i
$751$	0.607991	+	0.351024i	0.0221859	+	0.0128090i	0.511052	−	0.859550i	$-0.329256\pi$
$751$	0.607991	+	0.351024i	0.0221859	+	0.0128090i	−0.488866	+	0.872359i	$0.662589\pi$
$752$	39.8321	+	7.88516i	1.45253	+	0.287542i
$753$	34.5228	+	12.1117i	1.25808	+	0.441375i
$754$	10.2879	+	1.86951i	0.374663	+	0.0680835i
$755$	7.12273	+	11.5164i	0.259223	+	0.419126i
$756$	−1.18388	−	1.34267i	−0.0430571	−	0.0488323i
$757$	10.8397			0.393974			0.196987	−	0.980406i	$-0.436884\pi$
$757$	10.8397			0.393974			0.196987	+	0.980406i	$0.436884\pi$
$758$	9.29646	+	1.68935i	0.337663	+	0.0613599i
$759$	−23.3934	+	66.6798i	−0.849127	+	2.42032i
$760$	13.8910	−	24.8938i	0.503879	−	0.902992i
$761$	−8.55564	−	4.93960i	−0.310142	−	0.179060i	0.336848	−	0.941559i	$-0.390639\pi$
$761$	−8.55564	−	4.93960i	−0.310142	−	0.179060i	−0.646990	+	0.762499i	$0.723972\pi$
$762$	−13.5137	+	23.7576i	−0.489550	+	0.860648i
$763$	−0.456441	+	0.263526i	−0.0165243	+	0.00954028i
$764$	5.91734	+	35.7389i	0.214082	+	1.29299i
$765$	−6.63024	+	8.82138i	−0.239717	+	0.318938i
$766$	16.2971	+	13.8206i	0.588837	+	0.499359i
$767$	−3.16218	+	1.82568i	−0.114180	+	0.0659216i
$768$	−27.1343	−	5.63283i	−0.979125	−	0.203257i
$769$	−14.5685	+	25.2335i	−0.525355	+	0.909942i	0.474209	+	0.880412i	$0.342734\pi$
$769$	−14.5685	+	25.2335i	−0.525355	+	0.909942i	−0.999564	+	0.0295292i	$0.990599\pi$
$770$	−2.01049	+	2.52181i	−0.0724531	+	0.0908799i
$771$	−11.8639	−	13.8088i	−0.427266	−	0.497313i
$772$	−0.782052	−	0.952043i	−0.0281467	−	0.0342648i
$773$		−	10.4990i		−	0.377622i	−0.982013	−	0.188811i	$-0.939537\pi$
$773$		−	10.4990i		−	0.377622i	0.982013	−	0.188811i	$-0.0604634\pi$
$774$	−11.1680	−	3.83771i	−0.401427	−	0.137943i
$775$	−8.17272	−	4.07971i	−0.293573	−	0.146547i
$776$	8.23045	+	0.129024i	0.295456	+	0.00463170i
$777$	−2.21370	+	0.416983i	−0.0794162	+	0.0149592i
$778$	−16.2151	−	45.2853i	−0.581338	−	1.62356i
$779$	−1.93438	−	1.11682i	−0.0693065	−	0.0400141i
$780$	9.23472	−	3.69454i	0.330656	−	0.132286i
$781$	56.0166	−	32.3412i	2.00443	−	1.15726i
$782$	12.2258	+	10.3680i	0.437192	+	0.370758i
$783$	−26.4183	−	14.0454i	−0.944113	−	0.501942i
$784$	26.3934	−	8.98635i	0.942623	−	0.320941i
$785$	−7.38763	−	3.97182i	−0.263676	−	0.141760i
$786$	−30.1202	+	17.6489i	−1.07435	+	0.629515i
$787$	0.101304	+	0.0584878i	0.00361109	+	0.00208486i	0.501804	−	0.864981i	$-0.332670\pi$
$787$	0.101304	+	0.0584878i	0.00361109	+	0.00208486i	−0.498193	+	0.867066i	$0.666003\pi$
$788$	14.3137	−	38.0836i	0.509905	−	1.35667i
$789$	−5.31456	−	28.2143i	−0.189203	−	1.00445i
$790$	17.4353	+	44.4057i	0.620319	+	1.57988i
$791$	1.88546			0.0670392
$792$	−38.7322	−	32.0001i	−1.37629	−	1.13707i
$793$			8.81149i			0.312905i
$794$	31.2586	+	5.68029i	1.10933	+	0.201586i
$795$	−6.15050	+	19.3931i	−0.218136	+	0.687802i
$796$	3.22370	−	8.57708i	0.114261	−	0.304006i
$797$	−44.0692	−	25.4434i	−1.56101	−	0.901250i	−0.997155	−	0.0753760i	$-0.975984\pi$
$797$	−44.0692	−	25.4434i	−1.56101	−	0.901250i	−0.563855	−	0.825874i	$-0.690682\pi$
$798$	1.90172	−	0.0122183i	0.0673202	−	0.000432524i
$799$	14.4620	−	8.34962i	0.511627	−	0.295388i
$800$	18.9168	+	21.0274i	0.668811	+	0.743432i
$801$	29.3346	−	36.6614i	1.03649	−	1.29537i
$802$	13.0457	+	11.0633i	0.460660	+	0.390659i
$803$	17.9949	+	31.1681i	0.635026	+	1.09990i
$804$	13.1467	−	4.80286i	0.463647	−	0.169384i
$805$	2.65269	−	0.0804042i	0.0934949	−	0.00283387i
$806$	−3.12333	+	1.11835i	−0.110015	+	0.0393923i
$807$	−18.2564	+	52.0375i	−0.642657	+	1.83181i
$808$	0.344283	−	21.9618i	0.0121118	−	0.772614i
$809$		−	18.3642i		−	0.645650i	−0.946459	−	0.322825i	$-0.895367\pi$
$809$		−	18.3642i		−	0.645650i	0.946459	−	0.322825i	$-0.104633\pi$
$810$	−28.3874	+	2.03817i	−0.997432	+	0.0716141i
$811$	2.23983			0.0786510			0.0393255	−	0.999226i	$-0.487479\pi$
$811$	2.23983			0.0786510			0.0393255	+	0.999226i	$0.487479\pi$
$812$	−1.53280	+	1.25911i	−0.0537908	+	0.0441862i
$813$	18.7667	+	6.58396i	0.658176	+	0.230909i
$814$	−59.5236	+	21.3133i	−2.08630	+	0.747029i
$815$	12.4356	−	0.376928i	0.435599	−	0.0132032i
$816$	−9.92252	+	5.60704i	−0.347358	+	0.196286i
$817$	10.8651	−	6.27295i	0.380121	−	0.219463i
$818$	15.3505	−	18.1011i	0.536719	−	0.632891i
$819$	0.518097	+	0.414555i	0.0181038	+	0.0144857i
$820$	1.66907	−	1.45794i	0.0582865	−	0.0509136i
$821$	1.62573	+	2.81585i	0.0567384	+	0.0982739i	0.893000	−	0.450058i	$-0.148597\pi$
$821$	1.62573	+	2.81585i	0.0567384	+	0.0982739i	−0.836261	+	0.548331i	$0.815263\pi$
$822$	10.7584	−	0.0691212i	0.375241	−	0.00241088i
$823$	13.1368	−	22.7536i	0.457920	−	0.793140i	−0.540931	−	0.841067i	$-0.681928\pi$
$823$	13.1368	−	22.7536i	0.457920	−	0.793140i	0.998851	+	0.0479265i	$0.0152613\pi$
$824$	11.3796	−	6.33431i	0.396428	−	0.220666i
$825$	12.5264	+	49.7238i	0.436114	+	1.73116i
$826$	0.123847	−	0.681528i	0.00430918	−	0.0237134i
$827$	35.5076			1.23472			0.617361	−	0.786680i	$-0.288202\pi$
$827$	35.5076			1.23472			0.617361	+	0.786680i	$0.288202\pi$
$828$	0.531218	+	41.3390i	0.0184611	+	1.43663i
$829$			32.2246i			1.11921i	0.828760	+	0.559604i	$0.189047\pi$
$829$			32.2246i			1.11921i	−0.828760	+	0.559604i	$0.810953\pi$
$830$	−43.3808	+	17.0329i	−1.50577	+	0.591219i
$831$	22.3746	−	4.21458i	0.776167	−	0.146202i
$832$	10.2675	+	0.321994i	0.355961	+	0.0111631i
$833$	5.73323	−	9.93025i	0.198645	−	0.344063i
$834$	4.12547	+	7.04067i	0.142853	+	0.243798i
$835$	−19.8381	+	36.8990i	−0.686525	+	1.27694i
$836$	52.6594	−	8.71890i	1.82126	−	0.301549i
$837$	9.48696	−	0.331700i	0.327917	−	0.0114652i
$838$	10.3162	+	8.74854i	0.356366	+	0.302213i
$839$	−9.89720	−	17.1425i	−0.341689	−	0.591823i	0.643057	−	0.765818i	$-0.277666\pi$
$839$	−9.89720	−	17.1425i	−0.341689	−	0.591823i	−0.984747	+	0.173995i	$0.944332\pi$
$840$	−0.598547	+	1.78944i	−0.0206518	+	0.0617415i
$841$	−2.07778	+	3.59883i	−0.0716477	+	0.124097i
$842$	−2.84881	+	1.02006i	−0.0981765	+	0.0351535i
$843$	−5.53483	−	29.3837i	−0.190630	−	1.01203i
$844$	4.05334	−	3.32960i	0.139522	−	0.114609i
$845$	21.5869	−	13.3511i	0.742611	−	0.459293i
$846$	40.7305	+	13.9963i	1.40034	+	0.481204i
$847$	−4.14399			−0.142389
$848$	−13.8399	+	15.8105i	−0.475263	+	0.542936i
$849$	5.54200	−	4.76141i	0.190201	−	0.163411i
$850$	11.5497	+	1.38276i	0.396152	+	0.0474283i
$851$	45.0557	+	26.0129i	1.54449	+	0.891711i
$852$	24.2900	−	29.0183i	0.832162	−	0.994151i
$853$	24.7749	+	42.9114i	0.848276	+	1.46926i	0.882745	+	0.469852i	$0.155693\pi$
$853$	24.7749	+	42.9114i	0.848276	+	1.46926i	−0.0344689	+	0.999406i	$0.510974\pi$
$854$	−1.27489	−	1.08116i	−0.0436258	−	0.0369965i
$855$	18.1668	−	24.1704i	0.621290	−	0.826612i
$856$	−31.1502	−	18.6416i	−1.06469	−	0.637158i
$857$	−17.5013	−	30.3131i	−0.597833	−	1.03548i	−0.993140	−	0.116928i	$-0.962695\pi$
$857$	−17.5013	−	30.3131i	−0.597833	−	1.03548i	0.395307	−	0.918549i	$-0.370638\pi$
$858$	16.1878	+	9.20787i	0.552642	+	0.314352i
$859$	5.17386	−	8.96140i	0.176530	−	0.305759i	−0.764160	−	0.645027i	$-0.776846\pi$
$859$	5.17386	−	8.96140i	0.176530	−	0.305759i	0.940690	+	0.339268i	$0.110179\pi$
$860$	2.40445	+	12.2134i	0.0819909	+	0.416473i
$861$	0.139508	+	0.0489438i	0.00475441	+	0.00166800i
$862$	5.63505	+	1.02400i	0.191931	+	0.0348775i
$863$			50.0573i			1.70397i	0.523566	+	0.851985i	$0.324601\pi$
$863$			50.0573i			1.70397i	−0.523566	+	0.851985i	$0.675399\pi$
$864$	−27.7088	−	9.80917i	−0.942674	−	0.333715i
$865$	−4.32898	−	6.99934i	−0.147190	−	0.237985i
$866$	2.81350	−	15.4827i	0.0956067	−	0.526122i
$867$	8.19602	−	23.3617i	0.278352	−	0.793404i
$868$	0.221421	−	0.589119i	0.00751551	−	0.0199960i
$869$	−44.6619	+	77.3567i	−1.51505	+	2.62415i
$870$	1.15802	+	31.5171i	0.0392604	+	1.06853i
$871$	−4.49311	+	2.59410i	−0.152243	+	0.0878977i
$872$	−4.44421	+	7.42628i	−0.150500	+	0.251486i
$873$	8.63113	+	1.31536i	0.292120	+	0.0445181i
$874$	−33.4984	−	28.4080i	−1.13310	−	0.960916i
$875$	1.57349	−	1.11032i	0.0531938	−	0.0375358i
$876$	16.1460	+	13.5152i	0.545524	+	0.456635i
$877$	12.0621	−	20.8921i	0.407307	−	0.705477i	−0.587280	−	0.809384i	$-0.699801\pi$
$877$	12.0621	−	20.8921i	0.407307	−	0.705477i	0.994587	+	0.103907i	$0.0331345\pi$
$878$	5.27810	−	1.88990i	0.178127	−	0.0637810i
$879$	−35.2873	+	30.3171i	−1.19021	+	1.02257i
$880$	−8.70553	+	52.2386i	−0.293463	+	1.76096i
$881$		−	8.79778i		−	0.296405i	−0.988957	−	0.148202i	$-0.952651\pi$
$881$		−	8.79778i		−	0.296405i	0.988957	−	0.148202i	$-0.0473487\pi$
$882$	29.0258	−	5.66076i	0.977348	−	0.190608i
$883$			27.5889i			0.928439i	0.885720	+	0.464220i	$0.153665\pi$
$883$			27.5889i			0.928439i	−0.885720	+	0.464220i	$0.846335\pi$
$884$	3.26449	−	2.68161i	0.109797	−	0.0901922i
$885$	−7.42674	−	8.13228i	−0.249647	−	0.273364i
$886$	5.78065	+	16.1442i	0.194205	+	0.542374i
$887$	4.40150	+	2.54121i	0.147788	+	0.0853253i	0.572070	−	0.820204i	$-0.306140\pi$
$887$	4.40150	+	2.54121i	0.147788	+	0.0853253i	−0.424283	+	0.905530i	$0.639474\pi$
$888$	−28.4312	+	23.6622i	−0.954088	+	0.794052i
$889$	0.961001	+	1.66450i	0.0322309	+	0.0558256i
$890$	−48.9410	−	7.36951i	−1.64051	−	0.247027i
$891$	−36.1179	−	39.1818i	−1.20999	−	1.31264i
$892$	−0.996619	−	6.01927i	−0.0333693	−	0.201540i
$893$	−39.6255	+	22.8778i	−1.32602	+	0.765577i
$894$	−12.5315	−	21.3866i	−0.419115	−	0.715275i
$895$	−4.08406	+	0.123790i	−0.136515	+	0.00413783i
$896$	−1.30640	+	1.44604i	−0.0436437	+	0.0483088i
$897$	−2.83675	−	15.0599i	−0.0947162	−	0.502835i
$898$	−4.71758	+	25.9608i	−0.157428	+	0.866322i
$899$		−	10.5193i		−	0.350840i
$900$	16.8662	+	24.8099i	0.562206	+	0.826997i
$901$			8.64150i			0.287890i
$902$	4.08265	+	0.741898i	0.135938	+	0.0247025i
$903$	−0.629872	+	0.541154i	−0.0209608	+	0.0180085i
$904$	27.0518	−	15.0580i	0.899730	−	0.500822i
$905$	−29.1002	+	0.882042i	−0.967325	+	0.0293201i
$906$	0.0953017	+	14.8332i	0.00316619	+	0.492801i
$907$	6.47382	−	3.73766i	0.214960	−	0.124107i	−0.388655	−	0.921384i	$-0.627060\pi$
$907$	6.47382	−	3.73766i	0.214960	−	0.124107i	0.603614	+	0.797276i	$0.293727\pi$
$908$	−2.82369	−	17.0542i	−0.0937073	−	0.565963i
$909$	3.50985	−	23.0310i	0.116414	−	0.763889i
$910$	0.104146	−	0.691632i	0.00345239	−	0.0229274i
$911$	10.4816	+	18.1547i	0.347271	+	0.601491i	0.985764	−	0.168137i	$-0.0537751\pi$
$911$	10.4816	+	18.1547i	0.347271	+	0.601491i	−0.638493	+	0.769628i	$0.720442\pi$
$912$	27.1876	−	15.3632i	0.900270	−	0.508726i
$913$	−75.5713	−	43.6311i	−2.50104	−	1.44398i
$914$	25.7923	−	9.23531i	0.853135	−	0.305477i
$915$	−25.9567	+	5.70867i	−0.858103	+	0.188723i
$916$	−19.8197	−	24.1278i	−0.654862	−	0.797207i
$917$			2.45488i			0.0810673i
$918$	−11.2316	+	4.47030i	−0.370698	+	0.147542i
$919$		−	6.24019i		−	0.205845i	−0.994689	−	0.102923i	$-0.967181\pi$
$919$		−	6.24019i		−	0.205845i	0.994689	−	0.102923i	$-0.0328194\pi$
$920$	37.4176	−	22.3390i	1.23362	−	0.736495i
$921$	39.6664	+	13.9163i	1.30705	+	0.458556i
$922$	10.5872	+	29.5678i	0.348669	+	0.973762i
$923$	−7.01373	+	12.1481i	−0.230860	+	0.399861i
$924$	−3.31846	+	1.21233i	−0.109169	+	0.0398828i
$925$	37.6831	−	2.28648i	1.23901	−	0.0751791i
$926$	21.3697	−	25.1989i	0.702252	−	0.828086i
$927$	12.8672	−	5.02574i	0.422613	−	0.165067i
$928$	−11.9363	+	30.3068i	−0.391827	+	0.994870i
$929$	−33.0966	+	19.1083i	−1.08586	+	0.626924i	−0.932473	−	0.361241i	$-0.882353\pi$
$929$	−33.0966	+	19.1083i	−1.08586	+	0.626924i	−0.153392	+	0.988165i	$0.549020\pi$
$930$	−5.31793	−	8.47611i	−0.174382	−	0.277943i
$931$	−15.7090	+	27.2087i	−0.514840	+	0.891730i
$932$	24.4193	+	9.17799i	0.799880	+	0.300635i
$933$	−11.4677	−	13.3477i	−0.375434	−	0.436984i
$934$	51.2067	+	9.30526i	1.67553	+	0.304477i
$935$	11.4564	+	18.5234i	0.374665	+	0.605779i
$936$	10.7443	+	1.81015i	0.351187	+	0.0591665i
$937$		−	20.5399i		−	0.671010i	−0.942038	−	0.335505i	$-0.891093\pi$
$937$		−	20.5399i		−	0.671010i	0.942038	−	0.335505i	$-0.108907\pi$
$938$	0.175973	−	0.968378i	0.00574573	−	0.0316187i
$939$	7.53155	+	39.9840i	0.245783	+	1.30483i
$940$	−8.76915	−	44.5429i	−0.286018	−	1.45283i
$941$	20.9313	−	36.2541i	0.682341	−	1.18185i	−0.291924	−	0.956441i	$-0.594295\pi$
$941$	20.9313	−	36.2541i	0.682341	−	1.18185i	0.974265	−	0.225407i	$-0.0723712\pi$
$942$	−4.64513	−	7.92753i	−0.151346	−	0.258293i
$943$	−1.70727	−	2.95708i	−0.0555964	−	0.0962957i
$944$	−3.66604	−	10.7674i	−0.119320	−	0.350449i
$945$	−0.885531	+	1.79478i	−0.0288063	+	0.0583841i
$946$	−15.0746	+	17.7757i	−0.490117	+	0.577939i
$947$	20.3785	+	35.2966i	0.662211	+	1.14698i	0.980033	+	0.198833i	$0.0637153\pi$
$947$	20.3785	+	35.2966i	0.662211	+	1.14698i	−0.317822	+	0.948150i	$0.602951\pi$
$948$	−9.01297	+	51.4761i	−0.292728	+	1.67187i
$949$	−6.75932	−	3.90250i	−0.219417	−	0.126680i
$950$	−31.6460	−	3.78875i	−1.02673	−	0.122923i
$951$	−1.28042	−	6.79755i	−0.0415203	−	0.220426i
$952$	−0.0125624	+	0.801353i	−0.000407148	+	0.0259720i
$953$	34.6746			1.12322			0.561610	−	0.827402i	$-0.310182\pi$
$953$	34.6746			1.12322			0.561610	+	0.827402i	$0.310182\pi$
$954$	−16.8110	+	14.6319i	−0.544277	+	0.473727i
$955$	34.4455	−	21.3040i	1.11463	−	0.689382i
$956$	33.3813	−	27.4209i	1.07963	−	0.886855i
$957$	−44.7911	+	38.4822i	−1.44789	+	1.24395i
$958$	17.3069	+	48.3347i	0.559162	+	1.56162i
$959$	0.378273	−	0.655188i	0.0122151	−	0.0211571i
$960$	5.70345	+	30.4544i	0.184078	+	0.982912i
$961$	−13.8313	−	23.9564i	−0.446169	−	0.772788i
$962$	8.86818	−	10.4572i	0.285922	−	0.337155i
$963$	−30.0646	−	24.0562i	−0.968817	−	0.775199i
$964$	−2.21613	−	13.3847i	−0.0713767	−	0.431093i
$965$	−0.652289	+	1.21326i	−0.0209979	+	0.0390564i
$966$	2.52700	+	1.43740i	0.0813050	+	0.0462475i
$967$	24.9707	−	43.2506i	0.803004	−	1.39084i	−0.114626	−	0.993409i	$-0.536567\pi$
$967$	24.9707	−	43.2506i	0.803004	−	1.39084i	0.917630	−	0.397435i	$-0.130100\pi$
$968$	−59.4564	+	33.0955i	−1.91100	+	1.06373i
$969$	4.25162	−	12.1187i	0.136582	−	0.389308i
$970$	−3.36348	−	8.56640i	−0.107995	−	0.275051i
$971$		−	2.60770i		−	0.0836852i	−0.999124	−	0.0418426i	$-0.986677\pi$
$971$		−	2.60770i		−	0.0836852i	0.999124	−	0.0418426i	$-0.0133228\pi$
$972$	−27.7140	−	14.2806i	−0.888927	−	0.458049i
$973$	0.573834			0.0183963
$974$	49.1099	+	8.92423i	1.57358	+	0.285951i
$975$	−7.74433	−	7.98044i	−0.248017	−	0.255579i
$976$	−26.9262	−	5.33030i	−0.861885	−	0.170619i
$977$	−0.300593	+	0.520643i	−0.00961683	+	0.0166568i	−0.870794	−	0.491648i	$-0.836395\pi$
$977$	−0.300593	+	0.520643i	−0.00961683	+	0.0166568i	0.861177	+	0.508305i	$0.169728\pi$
$978$	11.8464	+	6.73840i	0.378805	+	0.215470i
$979$	−46.3347	−	80.2540i	−1.48086	−	2.56493i
$980$	−20.5072	−	23.4769i	−0.655078	−	0.749942i
$981$	−5.73504	+	7.16746i	−0.183106	+	0.228839i
$982$	−28.4507	−	24.1274i	−0.907897	−	0.769936i
$983$	21.5000	−	12.4130i	0.685743	−	0.395914i	−0.116272	−	0.993217i	$-0.537094\pi$
$983$	21.5000	−	12.4130i	0.685743	−	0.395914i	0.802015	+	0.597303i	$0.203761\pi$
$984$	2.39249	−	0.411937i	0.0762697	−	0.0131321i
$985$	−45.4659	+	1.37809i	−1.44866	+	0.0439097i
$986$	4.51581	+	12.6117i	0.143813	+	0.401639i
$987$	2.29718	−	1.97362i	0.0731200	−	0.0628210i
$988$	−8.94466	+	7.34755i	−0.284568	+	0.233757i
$989$	19.1788			0.609852
$990$	−16.6368	+	53.6512i	−0.528753	+	1.70515i
$991$		−	29.9445i		−	0.951218i	−0.879657	−	0.475609i	$-0.842228\pi$
$991$		−	29.9445i		−	0.951218i	0.879657	−	0.475609i	$-0.157772\pi$
$992$	−1.52808	−	10.2208i	−0.0485166	−	0.324511i
$993$	−36.1835	+	6.81568i	−1.14825	+	0.216289i
$994$	−0.897073	−	2.50534i	−0.0284534	−	0.0794646i
$995$	−10.2397	+	0.310371i	−0.324621	+	0.00983941i
$996$	−50.2881	−	8.80495i	−1.59344	−	0.278995i
$997$	−20.0915	−	34.7994i	−0.636303	−	1.10211i	−0.986238	−	0.165335i	$-0.947130\pi$
$997$	−20.0915	−	34.7994i	−0.636303	−	1.10211i	0.349935	−	0.936774i	$-0.386204\pi$
$998$	−30.7462	+	36.2555i	−0.973254	+	1.14765i
$999$	−33.2709	+	20.7920i	−1.05265	+	0.657829i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bd.b.59.4	✓	128
5.4	even	2	inner	360.2.bd.b.59.61	yes	128
8.3	odd	2	inner	360.2.bd.b.59.39	yes	128
9.2	odd	6	inner	360.2.bd.b.299.26	yes	128
40.19	odd	2	inner	360.2.bd.b.59.26	yes	128
45.29	odd	6	inner	360.2.bd.b.299.39	yes	128
72.11	even	6	inner	360.2.bd.b.299.61	yes	128
360.299	even	6	inner	360.2.bd.b.299.4	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bd.b.59.4	✓	128	1.1	even	1	trivial
360.2.bd.b.59.26	yes	128	40.19	odd	2	inner
360.2.bd.b.59.39	yes	128	8.3	odd	2	inner
360.2.bd.b.59.61	yes	128	5.4	even	2	inner
360.2.bd.b.299.4	yes	128	360.299	even	6	inner
360.2.bd.b.299.26	yes	128	9.2	odd	6	inner
360.2.bd.b.299.39	yes	128	45.29	odd	6	inner
360.2.bd.b.299.61	yes	128	72.11	even	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bd (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39143 - 0.252849i) q^{2} +(-0.573395 + 1.63439i) q^{3} +(1.87213 + 0.703642i) q^{4} +(-0.0677451 - 2.23504i) q^{5} +(1.21109 - 2.12915i) q^{6} +(-0.0861243 - 0.149172i) q^{7} +(-2.42702 - 1.45243i) q^{8} +(-2.34244 - 1.87430i) q^{9} +O(q^{10})\)	\(q+(-1.39143 - 0.252849i) q^{2} +(-0.573395 + 1.63439i) q^{3} +(1.87213 + 0.703642i) q^{4} +(-0.0677451 - 2.23504i) q^{5} +(1.21109 - 2.12915i) q^{6} +(-0.0861243 - 0.149172i) q^{7} +(-2.42702 - 1.45243i) q^{8} +(-2.34244 - 1.87430i) q^{9} +(-0.470866 + 3.12702i) q^{10} +(-5.12773 + 2.96050i) q^{11} +(-2.22350 + 2.65633i) q^{12} +(0.642034 - 1.11203i) q^{13} +(0.0821177 + 0.229338i) q^{14} +(3.69177 + 1.17084i) q^{15} +(3.00977 + 2.63463i) q^{16} +1.64504 q^{17} +(2.78541 + 3.20023i) q^{18} -4.50738 q^{19} +(1.44584 - 4.23197i) q^{20} +(0.293187 - 0.0552260i) q^{21} +(7.88342 - 2.82277i) q^{22} +(-5.96726 - 3.44520i) q^{23} +(3.76548 - 3.13387i) q^{24} +(-4.99082 + 0.302826i) q^{25} +(-1.17452 + 1.38498i) q^{26} +(4.40647 - 2.75373i) q^{27} +(-0.0562728 - 0.339870i) q^{28} +(-2.87904 - 4.98665i) q^{29} +(-4.84077 - 2.56260i) q^{30} +(1.58213 + 0.913441i) q^{31} +(-3.52172 - 4.42691i) q^{32} +(-1.89838 - 10.0782i) q^{33} +(-2.28895 - 0.415947i) q^{34} +(-0.327570 + 0.202597i) q^{35} +(-3.06652 - 5.15718i) q^{36} -7.55047 q^{37} +(6.27169 + 1.13969i) q^{38} +(1.44936 + 1.68697i) q^{39} +(-3.08183 + 5.52289i) q^{40} +(0.429159 + 0.247775i) q^{41} +(-0.421913 + 0.00271074i) q^{42} +(-2.41051 + 1.39171i) q^{43} +(-11.6829 + 1.93436i) q^{44} +(-4.03045 + 5.36242i) q^{45} +(7.43189 + 6.30256i) q^{46} +(8.79126 - 5.07564i) q^{47} +(-6.03179 + 3.40845i) q^{48} +(3.48517 - 6.03648i) q^{49} +(7.02093 + 0.840565i) q^{50} +(-0.943258 + 2.68863i) q^{51} +(1.98445 - 1.63012i) q^{52} +5.25306i q^{53} +(-6.82756 + 2.71744i) q^{54} +(6.96422 + 11.2601i) q^{55} +(-0.00763651 + 0.487133i) q^{56} +(2.58451 - 7.36680i) q^{57} +(2.74511 + 7.66652i) q^{58} +(-2.46262 - 1.42180i) q^{59} +(6.08763 + 4.78965i) q^{60} +(-5.94281 + 3.43108i) q^{61} +(-1.97045 - 1.67102i) q^{62} +(-0.0778516 + 0.510848i) q^{63} +(3.78087 + 7.05018i) q^{64} +(-2.52894 - 1.35964i) q^{65} +(0.0931808 + 14.5031i) q^{66} +(-3.49912 - 2.02022i) q^{67} +(3.07973 + 1.15752i) q^{68} +(9.05239 - 7.77735i) q^{69} +(0.507017 - 0.199073i) q^{70} -10.9242 q^{71} +(2.96285 + 7.95120i) q^{72} -6.07834i q^{73} +(10.5059 + 1.90913i) q^{74} +(2.36678 - 8.33057i) q^{75} +(-8.43842 - 3.17158i) q^{76} +(0.883245 + 0.509942i) q^{77} +(-1.59012 - 2.71376i) q^{78} +(13.0648 - 7.54297i) q^{79} +(5.68460 - 6.90546i) q^{80} +(1.97401 + 8.78085i) q^{81} +(-0.534493 - 0.453273i) q^{82} +(7.36888 + 12.7633i) q^{83} +(0.587746 + 0.102909i) q^{84} +(-0.111443 - 3.67673i) q^{85} +(3.70594 - 1.32696i) q^{86} +(9.80094 - 1.84615i) q^{87} +(16.7450 + 0.262503i) q^{88} +15.6510i q^{89} +(6.96395 - 6.44231i) q^{90} -0.221179 q^{91} +(-8.74733 - 10.6487i) q^{92} +(-2.40010 + 2.06204i) q^{93} +(-13.5158 + 4.83951i) q^{94} +(0.305353 + 10.0742i) q^{95} +(9.25461 - 3.21748i) q^{96} +(-2.52036 + 1.45513i) q^{97} +(-6.37567 + 7.51810i) q^{98} +(17.5602 + 2.67613i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 10 q^{4} + 4 q^{9}+O(q^{10}) \) 128 * q - 10 * q^4 + 4 * q^9	\( 128 q - 10 q^{4} + 4 q^{9} - 48 q^{11} - 30 q^{14} + 14 q^{16} + 24 q^{19} - 24 q^{20} - 10 q^{24} + 14 q^{25} + 26 q^{30} + 8 q^{36} + 12 q^{40} - 24 q^{41} - 36 q^{46} - 52 q^{49} - 42 q^{50} - 68 q^{51} - 62 q^{54} - 54 q^{56} - 24 q^{60} + 68 q^{64} - 18 q^{65} + 44 q^{66} - 60 q^{74} + 10 q^{75} + 24 q^{76} + 36 q^{81} + 94 q^{84} - 74 q^{90} + 88 q^{91} - 26 q^{94} - 22 q^{96} - 76 q^{99}+O(q^{100}) \) 128 * q - 10 * q^4 + 4 * q^9 - 48 * q^11 - 30 * q^14 + 14 * q^16 + 24 * q^19 - 24 * q^20 - 10 * q^24 + 14 * q^25 + 26 * q^30 + 8 * q^36 + 12 * q^40 - 24 * q^41 - 36 * q^46 - 52 * q^49 - 42 * q^50 - 68 * q^51 - 62 * q^54 - 54 * q^56 - 24 * q^60 + 68 * q^64 - 18 * q^65 + 44 * q^66 - 60 * q^74 + 10 * q^75 + 24 * q^76 + 36 * q^81 + 94 * q^84 - 74 * q^90 + 88 * q^91 - 26 * q^94 - 22 * q^96 - 76 * q^99

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