LMFDB - Embedded newform 260.2.bc.c.19.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(19,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 5]))

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

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

chi := DirichletCharacter("260.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bc (of order $12$, degree $4$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			19.7
Character	$\chi$	$=$	260.19
Dual form			260.2.bc.c.219.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.992521 + 1.00742i) q^{2} +(-1.63494 + 2.83181i) q^{3} +(-0.0298050 - 1.99978i) q^{4} +(-2.20931 - 0.344891i) q^{5} +(-1.23011 - 4.45771i) q^{6} +(0.576390 - 2.15112i) q^{7} +(2.04421 + 1.95479i) q^{8} +(-3.84608 - 6.66161i) q^{9} +O(q^{10})$	\(q+(-0.992521 + 1.00742i) q^{2} +(-1.63494 + 2.83181i) q^{3} +(-0.0298050 - 1.99978i) q^{4} +(-2.20931 - 0.344891i) q^{5} +(-1.23011 - 4.45771i) q^{6} +(0.576390 - 2.15112i) q^{7} +(2.04421 + 1.95479i) q^{8} +(-3.84608 - 6.66161i) q^{9} +(2.54024 - 1.88340i) q^{10} +(0.766167 + 2.85937i) q^{11} +(5.71171 + 3.18512i) q^{12} +(-1.93070 - 3.04506i) q^{13} +(1.59501 + 2.71570i) q^{14} +(4.58876 - 5.69246i) q^{15} +(-3.99822 + 0.119207i) q^{16} +(0.194586 + 0.337033i) q^{17} +(10.5284 + 2.73715i) q^{18} +(-0.279153 + 1.04181i) q^{19} +(-0.623858 + 4.42841i) q^{20} +(5.14918 + 5.14918i) q^{21} +(-3.64104 - 2.06613i) q^{22} +(-0.575487 - 0.332258i) q^{23} +(-8.87776 + 2.59281i) q^{24} +(4.76210 + 1.52394i) q^{25} +(4.98393 + 1.07725i) q^{26} +15.3428 q^{27} +(-4.31894 - 1.08854i) q^{28} +(2.10171 - 3.64027i) q^{29} +(1.18027 + 10.2727i) q^{30} +(-6.58102 - 6.58102i) q^{31} +(3.84823 - 4.14622i) q^{32} +(-9.34982 - 2.50528i) q^{33} +(-0.532666 - 0.138482i) q^{34} +(-2.01533 + 4.55369i) q^{35} +(-13.2071 + 7.88986i) q^{36} +(-1.29707 - 4.84073i) q^{37} +(-0.772483 - 1.31525i) q^{38} +(11.7796 - 0.488878i) q^{39} +(-3.84209 - 5.02378i) q^{40} +(-2.03769 - 7.60477i) q^{41} +(-10.2981 + 0.0767379i) q^{42} +(-2.60859 + 1.50607i) q^{43} +(5.69527 - 1.61739i) q^{44} +(6.19965 + 16.0440i) q^{45} +(0.905907 - 0.249987i) q^{46} +(-5.94762 - 5.94762i) q^{47} +(6.19930 - 11.5171i) q^{48} +(1.76709 + 1.02023i) q^{49} +(-6.26174 + 3.28491i) q^{50} -1.27255 q^{51} +(-6.03190 + 3.95174i) q^{52} +4.86414i q^{53} +(-15.2281 + 15.4567i) q^{54} +(-0.706526 - 6.58148i) q^{55} +(5.38326 - 3.27060i) q^{56} +(-2.49382 - 2.49382i) q^{57} +(1.58130 + 5.73036i) q^{58} +(-6.54319 - 1.75324i) q^{59} +(-11.5204 - 9.00684i) q^{60} +(-3.91629 - 6.78321i) q^{61} +(13.1617 - 0.0980765i) q^{62} +(-16.5467 + 4.43369i) q^{63} +(0.357555 + 7.99201i) q^{64} +(3.21531 + 7.39336i) q^{65} +(11.8038 - 6.93269i) q^{66} +(-0.285434 - 1.06526i) q^{67} +(0.668192 - 0.399175i) q^{68} +(1.88178 - 1.08644i) q^{69} +(-2.58725 - 6.54992i) q^{70} +(-0.603762 + 2.25327i) q^{71} +(5.15989 - 21.1360i) q^{72} +(0.169748 - 0.169748i) q^{73} +(6.16403 + 3.49782i) q^{74} +(-12.1013 + 10.9938i) q^{75} +(2.09172 + 0.527194i) q^{76} +6.59246 q^{77} +(-11.1990 + 12.3523i) q^{78} +8.99751i q^{79} +(8.87443 + 1.11559i) q^{80} +(-13.5464 + 23.4631i) q^{81} +(9.68367 + 5.49507i) q^{82} +(-5.99671 + 5.99671i) q^{83} +(10.1437 - 10.4507i) q^{84} +(-0.313661 - 0.811722i) q^{85} +(1.07183 - 4.12276i) q^{86} +(6.87235 + 11.9033i) q^{87} +(-4.02328 + 7.34284i) q^{88} +(-2.98674 + 0.800295i) q^{89} +(-22.3164 - 9.67836i) q^{90} +(-7.66312 + 2.39803i) q^{91} +(-0.647289 + 1.16075i) q^{92} +(29.3958 - 7.87657i) q^{93} +(11.8949 - 0.0886371i) q^{94} +(0.976049 - 2.20541i) q^{95} +(5.44965 + 17.6763i) q^{96} +(2.80499 - 10.4684i) q^{97} +(-2.78168 + 0.767611i) q^{98} +(16.1013 - 16.1013i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9}+O(q^{10}) $ 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9	$ 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9} - 12 q^{10} - 32 q^{14} - 36 q^{16} + 18 q^{20} + 8 q^{21} - 28 q^{24} + 28 q^{26} - 6 q^{30} + 16 q^{34} + 24 q^{36} - 88 q^{40} - 72 q^{41} + 68 q^{45} + 64 q^{46} - 24 q^{49} - 34 q^{50} + 80 q^{54} + 96 q^{56} - 48 q^{60} - 8 q^{61} + 40 q^{66} - 24 q^{69} - 80 q^{70} - 24 q^{74} - 28 q^{76} - 92 q^{80} - 8 q^{81} + 84 q^{84} + 20 q^{85} - 52 q^{86} - 104 q^{89} - 52 q^{94} - 124 q^{96}+O(q^{100}) $ 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9 - 12 * q^10 - 32 * q^14 - 36 * q^16 + 18 * q^20 + 8 * q^21 - 28 * q^24 + 28 * q^26 - 6 * q^30 + 16 * q^34 + 24 * q^36 - 88 * q^40 - 72 * q^41 + 68 * q^45 + 64 * q^46 - 24 * q^49 - 34 * q^50 + 80 * q^54 + 96 * q^56 - 48 * q^60 - 8 * q^61 + 40 * q^66 - 24 * q^69 - 80 * q^70 - 24 * q^74 - 28 * q^76 - 92 * q^80 - 8 * q^81 + 84 * q^84 + 20 * q^85 - 52 * q^86 - 104 * q^89 - 52 * q^94 - 124 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{5}{12}\right)$	$-1$	$-1$

Coefficient data

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

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

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

$2$	−0.992521	+	1.00742i	−0.701818	+	0.712356i
$2$	−0.992521	+	1.00742i	−0.701818	+	0.712356i
$3$	−1.63494	+	2.83181i	−0.943935	+	1.63494i	−0.186066	+	0.982537i	$0.559574\pi$
$3$	−1.63494	+	2.83181i	−0.943935	+	1.63494i	−0.757870	+	0.652406i	$0.773760\pi$
$4$	−0.0298050	−	1.99978i	−0.0149025	−	0.999889i
$5$	−2.20931	−	0.344891i	−0.988033	−	0.154240i
$5$	−2.20931	−	0.344891i	−0.988033	−	0.154240i
$6$	−1.23011	−	4.45771i	−0.502191	−	1.81985i
$7$	0.576390	−	2.15112i	0.217855	−	0.813046i	−0.767287	−	0.641304i	$-0.778394\pi$
$7$	0.576390	−	2.15112i	0.217855	−	0.813046i	0.985142	−	0.171742i	$-0.0549396\pi$
$8$	2.04421	+	1.95479i	0.722736	+	0.691124i
$9$	−3.84608	−	6.66161i	−1.28203	−	2.22054i
$10$	2.54024	−	1.88340i	0.803294	−	0.595583i
$11$	0.766167	+	2.85937i	0.231008	+	0.862133i	0.979908	+	0.199450i	$0.0639156\pi$
$11$	0.766167	+	2.85937i	0.231008	+	0.862133i	−0.748900	+	0.662683i	$0.769418\pi$
$12$	5.71171	+	3.18512i	1.64883	+	0.919465i
$13$	−1.93070	−	3.04506i	−0.535481	−	0.844547i
$13$	−1.93070	−	3.04506i	−0.535481	−	0.844547i
$14$	1.59501	+	2.71570i	0.426284	+	0.725801i
$15$	4.58876	−	5.69246i	1.18481	−	1.46979i
$16$	−3.99822	+	0.119207i	−0.999556	+	0.0298017i
$17$	0.194586	+	0.337033i	0.0471941	+	0.0817426i	0.888657	−	0.458572i	$-0.151639\pi$
$17$	0.194586	+	0.337033i	0.0471941	+	0.0817426i	−0.841463	+	0.540314i	$0.818305\pi$
$18$	10.5284	+	2.73715i	2.48156	+	0.645153i
$19$	−0.279153	+	1.04181i	−0.0640422	+	0.239009i	−0.990526	−	0.137326i	$-0.956149\pi$
$19$	−0.279153	+	1.04181i	−0.0640422	+	0.239009i	0.926484	+	0.376335i	$0.122816\pi$
$20$	−0.623858	+	4.42841i	−0.139499	+	0.990222i
$21$	5.14918	+	5.14918i	1.12364	+	1.12364i
$22$	−3.64104	−	2.06613i	−0.776271	−	0.440501i
$23$	−0.575487	−	0.332258i	−0.119997	−	0.0692805i	0.438800	−	0.898585i	$-0.355404\pi$
$23$	−0.575487	−	0.332258i	−0.119997	−	0.0692805i	−0.558797	+	0.829304i	$0.688737\pi$
$24$	−8.87776	+	2.59281i	−1.81216	+	0.529256i
$25$	4.76210	+	1.52394i	0.952420	+	0.304789i
$26$	4.98393	+	1.07725i	0.977429	+	0.211266i
$27$	15.3428			2.95273
$28$	−4.31894	−	1.08854i	−0.816203	−	0.205714i
$29$	2.10171	−	3.64027i	0.390278	−	0.675981i	−0.602208	−	0.798339i	$-0.705712\pi$
$29$	2.10171	−	3.64027i	0.390278	−	0.675981i	0.992486	+	0.122358i	$0.0390456\pi$
$30$	1.18027	+	10.2727i	0.215488	+	1.87553i
$31$	−6.58102	−	6.58102i	−1.18199	−	1.18199i	−0.979229	−	0.202757i	$-0.935010\pi$
$31$	−6.58102	−	6.58102i	−1.18199	−	1.18199i	−0.202757	−	0.979229i	$-0.564990\pi$
$32$	3.84823	−	4.14622i	0.680277	−	0.732955i
$33$	−9.34982	−	2.50528i	−1.62760	−	0.436113i
$34$	−0.532666	−	0.138482i	−0.0913515	−	0.0237494i
$35$	−2.01533	+	4.55369i	−0.340652	+	0.769715i
$36$	−13.2071	+	7.88986i	−2.20118	+	1.31498i
$37$	−1.29707	−	4.84073i	−0.213237	−	0.795811i	−0.986780	−	0.162067i	$-0.948184\pi$
$37$	−1.29707	−	4.84073i	−0.213237	−	0.795811i	0.773543	−	0.633744i	$-0.218483\pi$
$38$	−0.772483	−	1.31525i	−0.125313	−	0.213362i
$39$	11.7796	−	0.488878i	1.88625	−	0.0782831i
$40$	−3.84209	−	5.02378i	−0.607488	−	0.794329i
$41$	−2.03769	−	7.60477i	−0.318234	−	1.18767i	−0.920941	−	0.389703i	$-0.872578\pi$
$41$	−2.03769	−	7.60477i	−0.318234	−	1.18767i	0.602707	−	0.797963i	$-0.294089\pi$
$42$	−10.2981	+	0.0767379i	−1.58903	+	0.0118409i
$43$	−2.60859	+	1.50607i	−0.397806	+	0.229674i	−0.685537	−	0.728038i	$-0.740433\pi$
$43$	−2.60859	+	1.50607i	−0.397806	+	0.229674i	0.287731	+	0.957711i	$0.407099\pi$
$44$	5.69527	−	1.61739i	0.858595	−	0.243830i
$45$	6.19965	+	16.0440i	0.924190	+	2.39170i
$46$	0.905907	−	0.249987i	0.133569	−	0.0368585i
$47$	−5.94762	−	5.94762i	−0.867550	−	0.867550i	0.124650	−	0.992201i	$-0.460219\pi$
$47$	−5.94762	−	5.94762i	−0.867550	−	0.867550i	−0.992201	+	0.124650i	$0.960219\pi$
$48$	6.19930	−	11.5171i	0.894792	−	1.66235i
$49$	1.76709	+	1.02023i	0.252442	+	0.145747i
$50$	−6.26174	+	3.28491i	−0.885544	+	0.464556i
$51$	−1.27255			−0.178193
$52$	−6.03190	+	3.95174i	−0.836474	+	0.548007i
$53$			4.86414i			0.668140i	0.942548	+	0.334070i	$0.108422\pi$
$53$			4.86414i			0.668140i	−0.942548	+	0.334070i	$0.891578\pi$
$54$	−15.2281	+	15.4567i	−2.07228	+	2.10340i
$55$	−0.706526	−	6.58148i	−0.0952680	−	0.887447i
$56$	5.38326	−	3.27060i	0.719368	−	0.437053i
$57$	−2.49382	−	2.49382i	−0.330314	−	0.330314i
$58$	1.58130	+	5.73036i	0.207635	+	0.752432i
$59$	−6.54319	−	1.75324i	−0.851851	−	0.228253i	−0.193627	−	0.981075i	$-0.562025\pi$
$59$	−6.54319	−	1.75324i	−0.851851	−	0.228253i	−0.658224	+	0.752822i	$0.728692\pi$
$60$	−11.5204	−	9.00684i	−1.48728	−	1.16278i
$61$	−3.91629	−	6.78321i	−0.501430	−	0.868502i	−0.999999	−	0.00165162i	$-0.999474\pi$
$61$	−3.91629	−	6.78321i	−0.501430	−	0.868502i	0.498569	−	0.866850i	$-0.333859\pi$
$62$	13.1617	−	0.0980765i	1.67153	−	0.0124557i
$63$	−16.5467	+	4.43369i	−2.08469	+	0.558592i
$64$	0.357555	+	7.99201i	0.0446943	+	0.999001i
$65$	3.21531	+	7.39336i	0.398810	+	0.917034i
$66$	11.8038	−	6.93269i	1.45294	−	0.853356i
$67$	−0.285434	−	1.06526i	−0.0348713	−	0.130142i	0.946296	−	0.323302i	$-0.104793\pi$
$67$	−0.285434	−	1.06526i	−0.0348713	−	0.130142i	−0.981167	+	0.193160i	$0.938126\pi$
$68$	0.668192	−	0.399175i	0.0810302	−	0.0484070i
$69$	1.88178	−	1.08644i	0.226539	−	0.130793i
$70$	−2.58725	−	6.54992i	−0.309235	−	0.782866i
$71$	−0.603762	+	2.25327i	−0.0716533	+	0.267414i	−0.992454	−	0.122620i	$-0.960870\pi$
$71$	−0.603762	+	2.25327i	−0.0716533	+	0.267414i	0.920800	+	0.390034i	$0.127537\pi$
$72$	5.15989	−	21.1360i	0.608099	−	2.49090i
$73$	0.169748	−	0.169748i	0.0198674	−	0.0198674i	−0.697103	−	0.716971i	$-0.745528\pi$
$73$	0.169748	−	0.169748i	0.0198674	−	0.0198674i	0.716971	+	0.697103i	$0.245528\pi$
$74$	6.16403	+	3.49782i	0.716554	+	0.406614i
$75$	−12.1013	+	10.9938i	−1.39733	+	1.26945i
$76$	2.09172	+	0.527194i	0.239937	+	0.0604733i
$77$	6.59246			0.751280
$78$	−11.1990	+	12.3523i	−1.26804	+	1.39862i
$79$			8.99751i			1.01230i	0.862446	+	0.506149i	$0.168932\pi$
$79$			8.99751i			1.01230i	−0.862446	+	0.506149i	$0.831068\pi$
$80$	8.87443	+	1.11559i	0.992191	+	0.124726i
$81$	−13.5464	+	23.4631i	−1.50516	+	2.60701i
$82$	9.68367	+	5.49507i	1.06938	+	0.606829i
$83$	−5.99671	+	5.99671i	−0.658224	+	0.658224i	−0.954960	−	0.296736i	$-0.904102\pi$
$83$	−5.99671	+	5.99671i	−0.658224	+	0.658224i	0.296736	+	0.954960i	$0.404102\pi$
$84$	10.1437	−	10.4507i	1.10677	−	1.14026i
$85$	−0.313661	−	0.811722i	−0.0340214	−	0.0880436i
$86$	1.07183	−	4.12276i	0.115578	−	0.444569i
$87$	6.87235	+	11.9033i	0.736794	+	1.27616i
$88$	−4.02328	+	7.34284i	−0.428884	+	0.782750i
$89$	−2.98674	+	0.800295i	−0.316594	+	0.0848311i	−0.413617	−	0.910451i	$-0.635735\pi$
$89$	−2.98674	+	0.800295i	−0.316594	+	0.0848311i	0.0970229	+	0.995282i	$0.469068\pi$
$90$	−22.3164	−	9.67836i	−2.35236	−	1.02019i
$91$	−7.66312	+	2.39803i	−0.803313	+	0.251382i
$92$	−0.647289	+	1.16075i	−0.0674845	+	0.121016i
$93$	29.3958	−	7.87657i	3.04820	−	0.816762i
$94$	11.8949	−	0.0886371i	1.22687	−	0.00914221i
$95$	0.976049	−	2.20541i	0.100141	−	0.226271i
$96$	5.44965	+	17.6763i	0.556203	+	1.80408i
$97$	2.80499	−	10.4684i	0.284804	−	1.06290i	−0.664179	−	0.747574i	$-0.731219\pi$
$97$	2.80499	−	10.4684i	0.284804	−	1.06290i	0.948983	−	0.315329i	$-0.102115\pi$
$98$	−2.78168	+	0.767611i	−0.280992	+	0.0775404i
$99$	16.1013	−	16.1013i	1.61824	−	1.61824i
$100$	2.90561	−	9.56856i	0.290561	−	0.956856i
$101$	0.843255	+	0.486854i	0.0839070	+	0.0484437i	0.541366	−	0.840787i	$-0.317907\pi$
$101$	0.843255	+	0.486854i	0.0839070	+	0.0484437i	−0.457459	+	0.889230i	$0.651241\pi$
$102$	1.26303	−	1.28200i	0.125059	−	0.126937i
$103$		−	11.0130i		−	1.08515i	−0.840008	−	0.542574i	$-0.817450\pi$
$103$		−	11.0130i		−	1.08515i	0.840008	−	0.542574i	$-0.182550\pi$
$104$	2.00571	−	9.99886i	0.196676	−	0.980469i
$105$	−9.60023	−	13.1520i	−0.936887	−	1.28351i
$106$	−4.90025	−	4.82776i	−0.475954	−	0.468913i
$107$	−1.83769	+	3.18297i	−0.177656	+	0.307710i	−0.941077	−	0.338191i	$-0.890185\pi$
$107$	−1.83769	+	3.18297i	−0.177656	+	0.307710i	0.763421	+	0.645901i	$0.223518\pi$
$108$	−0.457294	−	30.6823i	−0.0440031	−	2.95240i
$109$	0.601898	−	0.601898i	0.0576514	−	0.0576514i	−0.677693	−	0.735345i	$-0.737020\pi$
$109$	0.601898	−	0.601898i	0.0576514	−	0.0576514i	0.735345	+	0.677693i	$0.237020\pi$
$110$	7.33158	+	5.82049i	0.699039	+	0.554962i
$111$	15.8286	+	4.24127i	1.50239	+	0.402563i
$112$	−2.04811	+	8.66936i	−0.193528	+	0.819178i
$113$	−17.7326	+	10.2379i	−1.66814	+	0.963102i	−0.699502	+	0.714631i	$0.746595\pi$
$113$	−17.7326	+	10.2379i	−1.66814	+	0.963102i	−0.968639	+	0.248471i	$0.920072\pi$
$114$	4.98750	−	0.0371652i	0.467122	−	0.00348084i
$115$	1.15684	+	0.932540i	0.107876	+	0.0869598i
$116$	−7.34237	−	4.09446i	−0.681722	−	0.380161i
$117$	−12.8593	+	24.5731i	−1.18885	+	2.27179i
$118$	8.26051	−	4.85164i	0.760442	−	0.446629i
$119$	0.837156	−	0.224315i	0.0767420	−	0.0205629i
$120$	20.5080	−	2.66647i	1.87211	−	0.243414i
$121$	1.93728	−	1.11849i	0.176116	−	0.101681i
$122$	10.7206	+	2.78712i	0.970595	+	0.252334i
$123$	24.8667	+	6.66302i	2.24216	+	0.600784i
$124$	−12.9644	+	13.3567i	−1.16424	+	1.19947i
$125$	−9.99536	−	5.00927i	−0.894012	−	0.448043i
$126$	11.9564	−	21.0701i	1.06516	−	1.87707i
$127$	−3.25338	−	1.87834i	−0.288691	−	0.166676i	0.348660	−	0.937249i	$-0.386637\pi$
$127$	−3.25338	−	1.87834i	−0.288691	−	0.166676i	−0.637351	+	0.770573i	$0.719970\pi$
$128$	−8.40622	−	7.57202i	−0.743012	−	0.669279i
$129$		−	9.84936i		−	0.867188i
$130$	−10.6395	−	4.09889i	−0.933147	−	0.359496i
$131$		−	0.779603i		−	0.0681142i	−0.999420	−	0.0340571i	$-0.989157\pi$
$131$		−	0.779603i		−	0.0681142i	0.999420	−	0.0340571i	$-0.0108428\pi$
$132$	−4.73133	+	18.7722i	−0.411809	+	1.63391i
$133$	2.08017	+	1.20098i	0.180373	+	0.104139i
$134$	1.35646	+	0.769735i	0.117181	+	0.0664949i
$135$	−33.8971	−	5.29161i	−2.91740	−	0.455429i
$136$	−0.261057	+	1.06934i	−0.0223854	+	0.0916953i
$137$	18.0630	+	4.83997i	1.54323	+	0.413506i	0.927307	−	0.374303i	$-0.122118\pi$
$137$	18.0630	+	4.83997i	1.54323	+	0.413506i	0.615920	+	0.787809i	$0.288785\pi$
$138$	−0.773193	+	2.97407i	−0.0658186	+	0.253169i
$139$	−4.30652	+	2.48637i	−0.365274	+	0.210891i	−0.671392	−	0.741103i	$-0.734303\pi$
$139$	−4.30652	+	2.48637i	−0.365274	+	0.210891i	0.306118	+	0.951994i	$0.400970\pi$
$140$	9.16644	+	3.89448i	0.774706	+	0.329144i
$141$	26.5665	−	7.11848i	2.23731	−	0.599485i
$142$	−1.67075	−	2.84466i	−0.140206	−	0.238719i
$143$	7.22772	−	7.85362i	0.604412	−	0.656753i
$144$	16.1716	+	26.1761i	1.34763	+	2.18134i
$145$	−5.89883	+	7.31762i	−0.489871	+	0.607695i
$146$	0.00252974	+	0.339486i	0.000209362	+	0.0280960i
$147$	−5.77820	+	3.33604i	−0.476578	+	0.275152i
$148$	−9.64172	+	2.73813i	−0.792545	+	0.225073i
$149$	−16.3652	−	4.38504i	−1.34069	−	0.359237i	−0.484000	−	0.875068i	$-0.660816\pi$
$149$	−16.3652	−	4.38504i	−1.34069	−	0.359237i	−0.856690	+	0.515831i	$0.827483\pi$
$150$	0.935376	−	23.1027i	0.0763731	−	1.88632i
$151$	−2.49348	+	2.49348i	−0.202916	+	0.202916i	−0.801248	−	0.598332i	$-0.795830\pi$
$151$	−2.49348	+	2.49348i	−0.202916	+	0.202916i	0.598332	+	0.801248i	$0.295830\pi$
$152$	−2.60718	+	1.58400i	−0.211470	+	0.128479i
$153$	1.49679	−	2.59251i	0.121008	−	0.209592i
$154$	−6.54315	+	6.64140i	−0.527262	+	0.535179i
$155$	12.2698	+	16.8092i	0.985532	+	1.35015i
$156$	−1.32874	−	23.5420i	−0.106384	−	1.88487i
$157$		−	8.98369i		−	0.716977i	−0.933534	−	0.358488i	$-0.883292\pi$
$157$		−	8.98369i		−	0.716977i	0.933534	−	0.358488i	$-0.116708\pi$
$158$	−9.06430	−	8.93021i	−0.721117	−	0.710450i
$159$	−13.7743	−	7.95259i	−1.09237	−	0.630681i
$160$	−9.93192	+	7.83306i	−0.785187	+	0.619258i
$161$	−1.04643	+	1.04643i	−0.0824703	+	0.0824703i
$162$	−10.1922	−	36.9346i	−0.800773	−	2.90186i
$163$	2.82388	−	10.5389i	0.221184	−	0.825469i	−0.762714	−	0.646736i	$-0.776134\pi$
$163$	2.82388	−	10.5389i	0.221184	−	0.825469i	0.983898	−	0.178733i	$-0.0571997\pi$
$164$	−15.1471	+	4.30159i	−1.18279	+	0.335898i
$165$	19.7926	+	8.75961i	1.54085	+	0.681935i
$166$	−0.0893685	−	11.9931i	−0.00693634	−	0.930844i
$167$	0.914622	−	0.245072i	0.0707756	−	0.0189643i	−0.223257	−	0.974760i	$-0.571669\pi$
$167$	0.914622	−	0.245072i	0.0707756	−	0.0189643i	0.294033	+	0.955795i	$0.405002\pi$
$168$	0.460393	+	20.5916i	0.0355201	+	1.58868i
$169$	−5.54477	+	11.7582i	−0.426521	+	0.904478i
$170$	1.12906	+	0.489661i	0.0865952	+	0.0375553i
$171$	8.01381	−	2.14729i	0.612831	−	0.164208i
$172$	3.08956	+	5.17171i	0.235576	+	0.394339i
$173$	10.2612	+	17.7728i	0.780141	+	1.35124i	0.931859	+	0.362820i	$0.118186\pi$
$173$	10.2612	+	17.7728i	0.780141	+	1.35124i	−0.151718	+	0.988424i	$0.548481\pi$
$174$	−18.8126	−	4.89087i	−1.42618	−	0.370776i
$175$	6.02301	−	9.36545i	0.455297	−	0.707962i
$176$	−3.40416	−	11.3411i	−0.256598	−	0.854866i
$177$	15.6626	−	15.6626i	1.17727	−	1.17727i
$178$	2.15817	−	3.80322i	0.161761	−	0.285064i
$179$	10.9340	−	18.9383i	0.817247	−	1.41551i	−0.0904563	−	0.995900i	$-0.528833\pi$
$179$	10.9340	−	18.9383i	0.817247	−	1.41551i	0.907703	−	0.419613i	$-0.137834\pi$
$180$	31.8997	−	12.8761i	2.37766	−	0.959729i
$181$			16.9995i			1.26356i	0.775147	+	0.631781i	$0.217676\pi$
$181$			16.9995i			1.26356i	−0.775147	+	0.631781i	$0.782324\pi$
$182$	5.18998	−	10.1001i	0.384707	−	0.748669i
$183$	25.6117			1.89327
$184$	−0.526918	−	1.80416i	−0.0388449	−	0.133005i
$185$	1.19610	+	11.1420i	0.0879392	+	0.819177i
$186$	−21.2409	+	37.4316i	−1.55746	+	2.74462i
$187$	−0.814618	+	0.814618i	−0.0595708	+	0.0595708i
$188$	−11.7167	+	12.0712i	−0.854525	+	0.880383i
$189$	8.84346	−	33.0043i	0.643267	−	2.40071i
$190$	1.25304	+	3.17221i	0.0909049	+	0.230137i
$191$	4.55684	−	2.63089i	0.329721	−	0.190365i	−0.325996	−	0.945371i	$-0.605700\pi$
$191$	4.55684	−	2.63089i	0.329721	−	0.190365i	0.655717	+	0.755007i	$0.272366\pi$
$192$	−23.2164	−	12.0540i	−1.67550	−	0.869919i
$193$	2.90795	+	10.8526i	0.209319	+	0.781189i	0.988090	+	0.153880i	$0.0491769\pi$
$193$	2.90795	+	10.8526i	0.209319	+	0.781189i	−0.778771	+	0.627309i	$0.784156\pi$
$194$	7.76208	+	13.2159i	0.557285	+	0.948846i
$195$	−26.1934	−	2.98260i	−1.87575	−	0.213589i
$196$	1.98757	−	3.56420i	0.141969	−	0.254586i
$197$	−15.6715	+	4.19916i	−1.11655	+	0.299178i	−0.769486	−	0.638664i	$-0.779487\pi$
$197$	−15.6715	+	4.19916i	−1.11655	+	0.299178i	−0.347062	+	0.937842i	$0.612821\pi$
$198$	0.239956	+	32.2017i	0.0170529	+	2.28847i
$199$	9.48117	+	16.4219i	0.672102	+	1.16412i	0.977307	+	0.211829i	$0.0679418\pi$
$199$	9.48117	+	16.4219i	0.672102	+	1.16412i	−0.305205	+	0.952287i	$0.598725\pi$
$200$	6.75571	+	12.4242i	0.477701	+	0.878522i
$201$	3.48326	+	0.933338i	0.245690	+	0.0658326i
$202$	−1.32742	+	0.366303i	−0.0933967	+	0.0257730i
$203$	−6.61924	−	6.61924i	−0.464580	−	0.464580i
$204$	0.0379284	+	2.54482i	0.00265552	+	0.178173i
$205$	1.87907	+	17.5041i	0.131240	+	1.22254i
$206$	11.0948	+	10.9307i	0.773012	+	0.761577i
$207$			5.11156i			0.355278i
$208$	8.08238	+	11.9447i	0.560412	+	0.828214i
$209$	−3.19281			−0.220852
$210$	22.7781	+	3.38218i	1.57184	+	0.233393i
$211$	−7.99170	−	4.61401i	−0.550172	−	0.317642i	0.199020	−	0.979996i	$-0.436224\pi$
$211$	−7.99170	−	4.61401i	−0.550172	−	0.317642i	−0.749191	+	0.662354i	$0.769558\pi$
$212$	9.72719	−	0.144976i	0.668066	−	0.00995698i
$213$	−5.39370	−	5.39370i	−0.369571	−	0.369571i
$214$	−1.38266	−	5.01050i	−0.0945165	−	0.342511i
$215$	6.28261	−	2.42770i	0.428471	−	0.165567i
$216$	31.3639	+	29.9921i	2.13404	+	2.04070i
$217$	−17.9498	+	10.3633i	−1.21851	+	0.703508i
$218$	0.00897004	+	1.20376i	0.000607528	+	0.0815291i
$219$	0.203164	+	0.758219i	0.0137286	+	0.0512357i
$220$	−13.1404	+	1.60906i	−0.885929	+	0.108483i
$221$	0.650598	−	1.24324i	0.0437639	−	0.0836292i
$222$	−19.9830	+	11.7366i	−1.34117	+	0.787708i
$223$	5.03815	+	18.8026i	0.337379	+	1.25912i	0.901267	+	0.433265i	$0.142639\pi$
$223$	5.03815	+	18.8026i	0.337379	+	1.25912i	−0.563887	+	0.825852i	$0.690695\pi$
$224$	−6.70093	−	10.6678i	−0.447725	−	0.712775i
$225$	−8.16351	−	37.5844i	−0.544234	−	2.50563i
$226$	7.28604	−	28.0256i	0.484660	−	1.86423i
$227$	−27.4909	−	7.36616i	−1.82463	−	0.488909i	−0.827291	−	0.561773i	$-0.810119\pi$
$227$	−27.4909	−	7.36616i	−1.82463	−	0.488909i	−0.997342	+	0.0728641i	$0.976786\pi$
$228$	−4.91275	+	5.06141i	−0.325355	+	0.335200i
$229$	−4.47323	−	4.47323i	−0.295599	−	0.295599i	0.543688	−	0.839287i	$-0.317027\pi$
$229$	−4.47323	−	4.47323i	−0.295599	−	0.295599i	−0.839287	+	0.543688i	$0.817027\pi$
$230$	−2.08765	+	0.239859i	−0.137655	+	0.0158158i
$231$	−10.7783	+	18.6686i	−0.709160	+	1.22830i
$232$	11.4123	−	3.33305i	0.749255	−	0.218825i
$233$	−5.72729			−0.375208			−0.187604	−	0.982245i	$-0.560072\pi$
$233$	−5.72729			−0.375208			−0.187604	+	0.982245i	$0.560072\pi$
$234$	−11.9924	−	37.3441i	−0.783967	−	2.44126i
$235$	11.0889	+	15.1914i	0.723358	+	0.990980i
$236$	−3.31108	+	13.1372i	−0.215533	+	0.855158i
$237$	−25.4792	−	14.7104i	−1.65505	−	0.955544i
$238$	−0.604914	+	1.06601i	−0.0392108	+	0.0690991i
$239$	2.08240	+	2.08240i	0.134699	+	0.134699i	0.771242	−	0.636542i	$-0.219636\pi$
$239$	2.08240	+	2.08240i	0.134699	+	0.134699i	−0.636542	+	0.771242i	$0.719636\pi$
$240$	−17.6683	+	23.3067i	−1.14048	+	1.50444i
$241$	1.46248	−	5.45805i	0.0942066	−	0.351584i	−0.902691	−	0.430289i	$-0.858412\pi$
$241$	1.46248	−	5.45805i	0.0942066	−	0.351584i	0.996898	+	0.0787048i	$0.0250785\pi$
$242$	−0.795998	+	3.06179i	−0.0511687	+	0.196819i
$243$	−21.2810	−	36.8598i	−1.36518	−	2.36456i
$244$	−13.4482	+	8.03389i	−0.860933	+	0.514317i
$245$	−3.55219	−	2.86346i	−0.226941	−	0.182940i
$246$	−31.3932	+	18.4381i	−2.00156	+	1.17557i
$247$	3.71135	−	1.16140i	0.236148	−	0.0738979i
$248$	−0.588415	−	26.3175i	−0.0373644	−	1.67116i
$249$	−7.17723	−	26.7858i	−0.454838	−	1.69748i
$250$	14.9671	−	5.09776i	0.946600	−	0.322410i
$251$	−5.19607	−	8.99986i	−0.327973	−	0.568066i	0.654136	−	0.756377i	$-0.273032\pi$
$251$	−5.19607	−	8.99986i	−0.327973	−	0.568066i	−0.982110	+	0.188310i	$0.939699\pi$
$252$	9.35957	+	32.9577i	0.589597	+	2.07614i
$253$	0.509129	−	1.90010i	0.0320087	−	0.119458i
$254$	5.12134	−	1.41324i	0.321341	−	0.0886748i
$255$	2.81146	+	0.438891i	0.176060	+	0.0274844i
$256$	15.9716	−	0.953232i	0.998224	−	0.0595770i
$257$	6.67732	−	11.5655i	0.416520	−	0.721434i	−0.579067	−	0.815280i	$-0.696583\pi$
$257$	6.67732	−	11.5655i	0.416520	−	0.721434i	0.995587	+	0.0938464i	$0.0299163\pi$
$258$	9.92248	+	9.77569i	0.617746	+	0.608608i
$259$	−11.1606			−0.693486
$260$	14.6892	−	6.65026i	0.910989	−	0.412432i
$261$	−32.3334			−2.00139
$262$	0.785390	+	0.773772i	0.0485216	+	0.0478038i
$263$	3.75845	−	6.50982i	0.231756	−	0.401413i	−0.726569	−	0.687093i	$-0.758886\pi$
$263$	3.75845	−	6.50982i	0.231756	−	0.401413i	0.958325	+	0.285681i	$0.0922196\pi$
$264$	−14.2157	−	23.3983i	−0.874913	−	1.44007i
$265$	1.67760	−	10.7464i	0.103054	−	0.660145i
$266$	−3.27451	+	0.903606i	−0.200773	+	0.0554037i
$267$	2.61687	−	9.76630i	0.160150	−	0.597688i
$268$	−2.12177	+	0.602555i	−0.129607	+	0.0368069i
$269$	13.2352	+	22.9240i	0.806964	+	1.39770i	0.914957	+	0.403551i	$0.132224\pi$
$269$	13.2352	+	22.9240i	0.806964	+	1.39770i	−0.107993	+	0.994152i	$0.534442\pi$
$270$	38.9744	−	28.8967i	2.37191	−	1.75860i
$271$	−2.99525	−	11.1784i	−0.181948	−	0.679040i	−0.995263	−	0.0972165i	$-0.969006\pi$
$271$	−2.99525	−	11.1784i	−0.181948	−	0.679040i	0.813315	−	0.581824i	$-0.197661\pi$
$272$	−0.818176	−	1.32434i	−0.0496092	−	0.0802998i
$273$	5.73802	−	25.6211i	0.347281	−	1.55066i
$274$	−22.8038	+	13.3933i	−1.37763	+	0.809120i
$275$	−0.708961	+	14.7842i	−0.0427520	+	0.891521i
$276$	−2.22873	−	3.73076i	−0.134154	−	0.224565i
$277$	2.06848	+	3.58271i	0.124283	+	0.215264i	0.921452	−	0.388491i	$-0.127004\pi$
$277$	2.06848	+	3.58271i	0.124283	+	0.215264i	−0.797170	+	0.603755i	$0.793670\pi$
$278$	1.76948	−	6.80626i	0.106126	−	0.408213i
$279$	−18.5290	+	69.1513i	−1.10930	+	4.13998i
$280$	−13.0213	+	5.36914i	−0.778170	+	0.320867i
$281$	−5.56152	−	5.56152i	−0.331772	−	0.331772i	0.521487	−	0.853259i	$-0.325378\pi$
$281$	−5.56152	−	5.56152i	−0.331772	−	0.331772i	−0.853259	+	0.521487i	$0.825378\pi$
$282$	−19.1965	+	33.8290i	−1.14314	+	2.01449i
$283$	14.0170	+	8.09269i	0.833221	+	0.481061i	0.854954	−	0.518703i	$-0.173585\pi$
$283$	14.0170	+	8.09269i	0.833221	+	0.481061i	−0.0217330	+	0.999764i	$0.506918\pi$
$284$	4.52403	+	1.14023i	0.268452	+	0.0676602i
$285$	4.64952	+	6.36971i	0.275414	+	0.377309i
$286$	0.738267	+	15.0763i	0.0436546	+	0.891478i
$287$	−17.5333			−1.03496
$288$	−42.4211	−	9.68868i	−2.49969	−	0.570911i
$289$	8.42427	−	14.5913i	0.495545	−	0.858310i
$290$	−1.51724	−	13.2055i	−0.0890952	−	0.775454i
$291$	25.0584	+	25.0584i	1.46895	+	1.46895i
$292$	−0.344517	−	0.334398i	−0.0201613	−	0.0195692i
$293$	−6.60936	−	1.77097i	−0.386123	−	0.103461i	0.0605353	−	0.998166i	$-0.480719\pi$
$293$	−6.60936	−	1.77097i	−0.386123	−	0.103461i	−0.446658	+	0.894705i	$0.647386\pi$
$294$	2.37417	−	9.13219i	0.138464	−	0.532600i
$295$	13.8513	+	6.13015i	0.806452	+	0.356911i
$296$	6.81115	−	12.4309i	0.395890	−	0.722534i
$297$	11.7552	+	43.8709i	0.682104	+	2.54565i
$298$	20.6604	−	12.1344i	1.19682	−	0.702930i
$299$	0.0993510	+	2.39388i	0.00574562	+	0.138442i
$300$	22.3458	+	23.8722i	1.29013	+	1.37826i
$301$	1.73617	+	6.47947i	0.100071	+	0.373470i
$302$	−0.0371601	−	4.98682i	−0.00213832	−	0.286959i
$303$	−2.75735	+	1.59196i	−0.158406	+	0.0914555i
$304$	0.991926	−	4.19869i	0.0568909	−	0.240811i
$305$	6.31283	+	16.3369i	0.361471	+	0.935449i
$306$	1.12617	+	4.08102i	0.0643786	+	0.233297i
$307$	−11.7337	−	11.7337i	−0.669675	−	0.669675i	0.287966	−	0.957641i	$-0.407021\pi$
$307$	−11.7337	−	11.7337i	−0.669675	−	0.669675i	−0.957641	+	0.287966i	$0.907021\pi$
$308$	−0.196489	−	13.1835i	−0.0111960	−	0.751197i
$309$	31.1868	+	18.0057i	1.77416	+	1.02431i
$310$	−29.1120	−	4.32267i	−1.65345	−	0.245511i
$311$	0.392487			0.0222559			0.0111280	−	0.999938i	$-0.496458\pi$
$311$	0.392487			0.0222559			0.0111280	+	0.999938i	$0.496458\pi$
$312$	25.0356	+	22.0273i	1.41736	+	1.24705i
$313$		−	27.6508i		−	1.56292i	−0.623956	−	0.781459i	$-0.714476\pi$
$313$		−	27.6508i		−	1.56292i	0.623956	−	0.781459i	$-0.285524\pi$
$314$	9.05039	+	8.91650i	0.510743	+	0.503187i
$315$	38.0860	−	4.08856i	2.14590	−	0.230364i
$316$	17.9930	−	0.268171i	1.01219	−	0.0150858i
$317$	1.87746	+	1.87746i	0.105449	+	0.105449i	0.757863	−	0.652414i	$-0.226244\pi$
$317$	1.87746	+	1.87746i	0.105449	+	0.105449i	−0.652414	+	0.757863i	$0.726244\pi$
$318$	21.6829	−	5.98343i	1.21592	−	0.335534i
$319$	12.0191	+	3.22052i	0.672943	+	0.180314i
$320$	1.96642	−	17.7801i	0.109926	−	0.993940i
$321$	−6.00904	−	10.4080i	−0.335392	−	0.580916i
$322$	−0.0155949	−	2.09280i	−0.000869069	−	0.116627i
$323$	−0.405446	+	0.108639i	−0.0225596	+	0.00604483i
$324$	47.3247	+	26.3905i	2.62915	+	1.46614i
$325$	−4.55371	−	17.4432i	−0.252594	−	0.967572i
$326$	7.81435	+	13.3049i	0.432797	+	0.736890i
$327$	0.720389	+	2.68853i	0.0398376	+	0.148676i
$328$	10.7003	−	19.5290i	0.590825	−	1.07831i
$329$	−16.2222	+	9.36589i	−0.894359	+	0.516358i
$330$	−28.4692	+	11.2455i	−1.56718	+	0.619042i
$331$	4.33553	−	16.1804i	0.238302	−	0.889356i	−0.738330	−	0.674439i	$-0.764385\pi$
$331$	4.33553	−	16.1804i	0.238302	−	0.889356i	0.976632	−	0.214916i	$-0.0689479\pi$
$332$	12.1708	+	11.8134i	0.667960	+	0.648342i
$333$	−27.2584	+	27.2584i	−1.49375	+	1.49375i
$334$	−0.660890	+	1.16465i	−0.0361623	+	0.0637269i
$335$	0.263215	+	2.45192i	0.0143810	+	0.133963i
$336$	−21.2014	−	19.9738i	−1.15663	−	1.08966i
$337$	7.51092			0.409146			0.204573	−	0.978851i	$-0.434419\pi$
$337$	7.51092			0.409146			0.204573	+	0.978851i	$0.434419\pi$
$338$	−6.34221	−	17.2562i	−0.344971	−	0.938614i
$339$		−	66.9536i		−	3.63642i
$340$	−1.61391	+	0.651447i	−0.0875268	+	0.0353296i
$341$	13.7754	−	23.8597i	0.745981	−	1.29208i
$342$	−5.79064	+	10.2045i	−0.313122	+	0.551798i
$343$	14.2363	−	14.2363i	0.768686	−	0.768686i
$344$	−8.27655	−	2.02054i	−0.446242	−	0.108940i
$345$	−4.53213	+	1.75128i	−0.244002	+	0.0942860i
$346$	−28.0892	−	7.30258i	−1.51008	−	0.392589i
$347$	5.42922	+	9.40368i	0.291456	+	0.504816i	0.974154	−	0.225884i	$-0.0725271\pi$
$347$	5.42922	+	9.40368i	0.291456	+	0.504816i	−0.682699	+	0.730700i	$0.739194\pi$
$348$	23.5991	−	14.0980i	1.26504	−	0.755730i
$349$	9.48894	−	2.54255i	0.507931	−	0.136100i	0.00425285	−	0.999991i	$-0.498646\pi$
$349$	9.48894	−	2.54255i	0.507931	−	0.136100i	0.503679	+	0.863891i	$0.331980\pi$
$350$	3.45702	+	15.3631i	0.184785	+	0.821194i
$351$	−29.6225	−	46.7198i	−1.58113	−	2.49372i
$352$	14.8040	+	7.82682i	0.789054	+	0.417171i
$353$	8.78900	−	2.35501i	0.467791	−	0.125344i	−0.0172208	−	0.999852i	$-0.505482\pi$
$353$	8.78900	−	2.35501i	0.467791	−	0.125344i	0.485012	+	0.874507i	$0.338815\pi$
$354$	0.233419	+	31.3243i	0.0124061	+	1.66487i
$355$	2.11103	−	4.76994i	0.112042	−	0.253162i
$356$	1.68943	+	5.94896i	0.0895397	+	0.315294i
$357$	−0.733486	+	2.73741i	−0.0388202	+	0.144879i
$358$	8.22663	+	29.8118i	0.434791	+	1.57560i
$359$	17.8773	−	17.8773i	0.943529	−	0.943529i	−0.0549599	−	0.998489i	$-0.517503\pi$
$359$	17.8773	−	17.8773i	0.943529	−	0.943529i	0.998489	+	0.0549599i	$0.0175031\pi$
$360$	−18.6894	+	44.9164i	−0.985019	+	2.36730i
$361$	15.4470	+	8.91835i	0.813002	+	0.469387i
$362$	−17.1257	−	16.8724i	−0.900106	−	0.886791i
$363$			7.31467i			0.383920i
$364$	5.02393	+	15.2531i	0.263325	+	0.799478i
$365$	−0.433569	+	0.316480i	−0.0226941	+	0.0165653i
$366$	−25.4201	+	25.8018i	−1.32873	+	1.34868i
$367$	−12.0963	+	20.9514i	−0.631421	+	1.09365i	0.355840	+	0.934547i	$0.384195\pi$
$367$	−12.0963	+	20.9514i	−0.631421	+	1.09365i	−0.987261	+	0.159107i	$0.949139\pi$
$368$	2.34053	+	1.25984i	0.122009	+	0.0656736i
$369$	−42.8228	+	42.8228i	−2.22927	+	2.22927i
$370$	−12.4119	−	9.85370i	−0.645263	−	0.512269i
$371$	10.4633	+	2.80364i	0.543229	+	0.145558i
$372$	−16.6275	−	58.5502i	−0.862097	−	3.03569i
$373$	17.0783	−	9.86017i	0.884281	−	0.510540i	0.0122136	−	0.999925i	$-0.496112\pi$
$373$	17.0783	−	9.86017i	0.884281	−	0.510540i	0.872068	+	0.489385i	$0.162779\pi$
$374$	−0.0121402	−	1.62919i	−0.000627755	−	0.0842435i
$375$	30.5271	−	20.1150i	1.57641	−	1.03874i
$376$	−0.531783	−	23.7846i	−0.0274246	−	1.22659i
$377$	−15.1426	+	0.628449i	−0.779884	+	0.0323668i
$378$	24.4719	+	41.6665i	1.25870	+	2.14309i
$379$	27.3318	−	7.32353i	1.40394	−	0.376184i	0.524182	−	0.851606i	$-0.324371\pi$
$379$	27.3318	−	7.32353i	1.40394	−	0.376184i	0.879758	+	0.475422i	$0.157705\pi$
$380$	−4.43943	−	1.88615i	−0.227738	−	0.0967574i
$381$	10.6382	−	6.14197i	0.545012	−	0.314663i
$382$	−1.87233	+	7.20188i	−0.0957969	+	0.368480i
$383$	−17.6509	−	4.72956i	−0.901921	−	0.241669i	−0.222080	−	0.975028i	$-0.571285\pi$
$383$	−17.6509	−	4.72956i	−0.901921	−	0.241669i	−0.679841	+	0.733359i	$0.737951\pi$
$384$	35.1862	−	11.4249i	1.79559	−	0.583026i
$385$	−14.5648	−	2.27368i	−0.742290	−	0.115878i
$386$	−13.8194	−	7.84191i	−0.703388	−	0.399143i
$387$	20.0657	+	11.5849i	1.02000	+	0.588895i
$388$	−21.0180	−	5.29735i	−1.06703	−	0.268932i
$389$		−	25.6593i		−	1.30098i	−0.759516	−	0.650489i	$-0.774564\pi$
$389$		−	25.6593i		−	1.30098i	0.759516	−	0.650489i	$-0.225436\pi$
$390$	29.0022	−	23.4276i	1.46859	−	1.18630i
$391$		−	0.258611i		−	0.0130785i
$392$	1.61796	+	5.53987i	0.0817193	+	0.279806i
$393$	2.20768	+	1.27461i	0.111363	+	0.0642954i
$394$	11.3239	−	19.9556i	0.570492	−	1.00535i
$395$	3.10316	−	19.8783i	0.156137	−	1.00019i
$396$	−32.6789	−	31.7191i	−1.64218	−	1.59394i
$397$	11.4455	+	3.06680i	0.574431	+	0.153918i	0.534328	−	0.845277i	$-0.320565\pi$
$397$	11.4455	+	3.06680i	0.574431	+	0.153918i	0.0401029	+	0.999196i	$0.487231\pi$
$398$	−25.9540	−	6.74749i	−1.30096	−	0.338221i
$399$	−6.80191	+	3.92708i	−0.340521	+	0.196600i
$400$	−19.2216	−	5.52539i	−0.961080	−	0.276270i
$401$	−7.97233	+	2.13618i	−0.398119	+	0.106676i	−0.452323	−	0.891854i	$-0.649405\pi$
$401$	−7.97233	+	2.13618i	−0.398119	+	0.106676i	0.0542039	+	0.998530i	$0.482738\pi$
$402$	−4.39748	+	2.58277i	−0.219326	+	0.128817i
$403$	−7.33359	+	32.7456i	−0.365312	+	1.63117i
$404$	0.948466	−	1.70083i	0.0471879	−	0.0846196i
$405$	38.0205	−	47.1652i	1.88925	−	2.34366i
$406$	13.2381	−	0.0986461i	0.656997	−	0.00489573i
$407$	12.8477	−	7.41761i	0.636835	−	0.367677i
$408$	−2.60135	−	2.48757i	−0.128786	−	0.123153i
$409$	29.4928	+	7.90258i	1.45833	+	0.390758i	0.898912	−	0.438130i	$-0.144359\pi$
$409$	29.4928	+	7.90258i	1.45833	+	0.390758i	0.559416	+	0.828887i	$0.311026\pi$
$410$	−19.4990	−	15.4801i	−0.962989	−	0.764509i
$411$	−43.2378	+	43.2378i	−2.13276	+	2.13276i
$412$	−22.0237	+	0.328244i	−1.08503	+	0.0161714i
$413$	−7.54287	+	13.0646i	−0.371160	+	0.642868i
$414$	−5.14950	−	5.07333i	−0.253084	−	0.249340i
$415$	15.3168	−	11.1804i	0.751872	−	0.548823i
$416$	−20.0553	−	3.71296i	−0.983291	−	0.182043i
$417$		−	16.2603i		−	0.796270i
$418$	3.16894	−	3.21652i	0.154998	−	0.157325i
$419$	−32.3785	−	18.6937i	−1.58179	−	0.913248i	−0.994598	−	0.103802i	$-0.966899\pi$
$419$	−32.3785	−	18.6937i	−1.58179	−	0.913248i	−0.587194	−	0.809446i	$-0.699767\pi$
$420$	−26.0150	+	19.5903i	−1.26940	+	0.955910i
$421$	−3.79703	+	3.79703i	−0.185056	+	0.185056i	−0.793555	−	0.608499i	$-0.791772\pi$
$421$	−3.79703	+	3.79703i	−0.185056	+	0.185056i	0.608499	+	0.793555i	$0.291772\pi$
$422$	12.5802	−	3.47153i	0.612394	−	0.168991i
$423$	−16.7457	+	62.4958i	−0.814203	+	3.03865i
$424$	−9.50839	+	9.94330i	−0.461768	+	0.482889i
$425$	0.413019	+	1.90152i	0.0200344	+	0.0922375i
$426$	10.7871	−	0.0803820i	0.522637	−	0.00389452i
$427$	−16.8488	+	4.51462i	−0.815371	+	0.218478i
$428$	6.42001	+	3.58010i	0.310323	+	0.173051i
$429$	10.4230	+	33.3077i	0.503228	+	1.60811i
$430$	−3.78991	+	8.73879i	−0.182766	+	0.421422i
$431$	−18.0708	+	4.84207i	−0.870441	+	0.233234i	−0.666279	−	0.745703i	$-0.732114\pi$
$431$	−18.0708	+	4.84207i	−0.870441	+	0.233234i	−0.204163	+	0.978937i	$0.565447\pi$
$432$	−61.3441	+	1.82897i	−2.95142	+	0.0879965i
$433$	−6.77990	−	11.7431i	−0.325821	−	0.564339i	0.655857	−	0.754885i	$-0.272307\pi$
$433$	−6.77990	−	11.7431i	−0.325821	−	0.564339i	−0.981678	+	0.190546i	$0.938974\pi$
$434$	7.37529	−	28.3688i	0.354025	−	1.36175i
$435$	−11.0778	−	28.6682i	−0.531141	−	1.37454i
$436$	−1.22160	−	1.18572i	−0.0585041	−	0.0567858i
$437$	0.506800	−	0.506800i	0.0242435	−	0.0242435i
$438$	−0.965493	−	0.547876i	−0.0461330	−	0.0261785i
$439$	−5.81207	+	10.0668i	−0.277395	+	0.480462i	−0.970737	−	0.240147i	$-0.922804\pi$
$439$	−5.81207	+	10.0668i	−0.277395	+	0.480462i	0.693342	+	0.720609i	$0.256138\pi$
$440$	11.4212	−	14.8350i	0.544483	−	0.707232i
$441$		−	15.6956i		−	0.747409i
$442$	0.606735	+	1.88937i	0.0288595	+	0.0898680i
$443$	−23.9908			−1.13984			−0.569919	−	0.821701i	$-0.693025\pi$
$443$	−23.9908			−1.13984			−0.569919	+	0.821701i	$0.693025\pi$
$444$	8.00982	−	31.7802i	0.380129	−	1.50822i
$445$	6.87465	−	0.737998i	0.325890	−	0.0349845i
$446$	−23.9427	−	13.5864i	−1.13372	−	0.643337i
$447$	39.1738	−	39.1738i	1.85286	−	1.85286i
$448$	17.3978	+	3.83737i	0.821971	+	0.181299i
$449$	−8.04375	+	30.0197i	−0.379608	+	1.41672i	0.466885	+	0.884318i	$0.345376\pi$
$449$	−8.04375	+	30.0197i	−0.379608	+	1.41672i	−0.846494	+	0.532399i	$0.821291\pi$
$450$	45.9659	+	29.0792i	2.16685	+	1.37081i
$451$	20.1837	−	11.6530i	0.950411	−	0.548720i
$452$	21.0021	+	35.1561i	0.987854	+	1.65360i
$453$	−2.98435	−	11.1377i	−0.140217	−	0.523296i
$454$	34.7061	−	20.3839i	1.62884	−	0.956663i
$455$	17.7573	−	2.65505i	0.832474	−	0.124470i
$456$	−0.222975	−	9.97277i	−0.0104417	−	0.467018i
$457$	−10.9112	+	2.92366i	−0.510406	+	0.136763i	−0.504825	−	0.863222i	$-0.668443\pi$
$457$	−10.9112	+	2.92366i	−0.510406	+	0.136763i	−0.00558080	+	0.999984i	$0.501776\pi$
$458$	8.94621	−	0.0666642i	0.418029	−	0.00311502i
$459$	2.98550	+	5.17104i	0.139351	+	0.241364i
$460$	1.83039	−	2.34121i	0.0853426	−	0.109159i
$461$	23.8501	+	6.39060i	1.11081	+	0.297640i	0.767158	−	0.641458i	$-0.221670\pi$
$461$	23.8501	+	6.39060i	1.11081	+	0.297640i	0.343650	+	0.939098i	$0.388337\pi$
$462$	−8.10946	−	29.3872i	−0.377286	−	1.36722i
$463$	17.7005	+	17.7005i	0.822612	+	0.822612i	0.986482	−	0.163870i	$-0.0523978\pi$
$463$	17.7005	+	17.7005i	0.822612	+	0.822612i	−0.163870	+	0.986482i	$0.552398\pi$
$464$	−7.96916	+	14.8051i	−0.369959	+	0.687312i
$465$	−67.6609	+	7.26344i	−3.13770	+	0.336834i
$466$	5.68446	−	5.76981i	0.263327	−	0.267281i
$467$			14.3563i			0.664330i	0.943221	+	0.332165i	$0.107779\pi$
$467$			14.3563i			0.664330i	−0.943221	+	0.332165i	$0.892221\pi$
$468$	49.5241	+	24.9834i	2.28925	+	1.15486i
$469$	−2.45601			−0.113408
$470$	−26.3101	−	3.90663i	−1.21360	−	0.180199i
$471$	25.4401	+	14.6878i	1.17222	+	0.676780i
$472$	−9.94840	−	16.3746i	−0.457912	−	0.753701i
$473$	−6.30503	−	6.30503i	−0.289906	−	0.289906i
$474$	40.1083	−	11.0679i	1.84223	−	0.508368i
$475$	−2.91702	+	4.53581i	−0.133842	+	0.208117i
$476$	−0.473532	−	1.66744i	−0.0217043	−	0.0764270i
$477$	32.4030	−	18.7079i	1.48363	−	0.856574i
$478$	−4.16468	+	0.0310339i	−0.190488	+	0.00141946i
$479$	5.89673	+	22.0069i	0.269428	+	1.00552i	0.959484	+	0.281764i	$0.0909194\pi$
$479$	5.89673	+	22.0069i	0.269428	+	1.00552i	−0.690056	+	0.723756i	$0.742414\pi$
$480$	−5.94358	−	40.9319i	−0.271286	−	1.86828i
$481$	−12.2360	+	13.2957i	−0.557916	+	0.606230i
$482$	4.04703	+	6.89056i	0.184337	+	0.313856i
$483$	−1.25243	−	4.67414i	−0.0569877	−	0.212681i
$484$	−2.29447	−	3.84079i	−0.104294	−	0.174582i
$485$	−9.80755	+	22.1605i	−0.445338	+	1.00626i
$486$	58.2553	+	15.1451i	2.64252	+	0.686997i
$487$	−25.9577	−	6.95534i	−1.17625	−	0.315177i	−0.382815	−	0.923825i	$-0.625045\pi$
$487$	−25.9577	−	6.95534i	−1.17625	−	0.315177i	−0.793440	+	0.608649i	$0.791712\pi$
$488$	5.25409	−	21.5218i	0.237841	−	0.974248i
$489$	25.2272	+	25.2272i	1.14081	+	1.14081i
$490$	6.41034	−	0.736511i	0.289590	−	0.0332722i
$491$	11.4081	−	19.7594i	0.514840	−	0.891729i	−0.485012	−	0.874508i	$-0.661185\pi$
$491$	11.4081	−	19.7594i	0.514840	−	0.891729i	0.999852	−	0.0172216i	$-0.00548206\pi$
$492$	12.5834	−	49.9265i	0.567304	−	2.25086i
$493$	1.63586			0.0736752
$494$	−2.51357	+	4.89161i	−0.113091	+	0.220084i
$495$	−41.1259	+	30.0195i	−1.84847	+	1.34928i
$496$	27.0969	+	25.5279i	1.21669	+	1.14624i
$497$	4.49905	+	2.59753i	0.201810	+	0.116515i
$498$	34.1082	+	19.3549i	1.52842	+	0.867315i
$499$	21.4511	+	21.4511i	0.960282	+	0.960282i	0.999241	−	0.0389588i	$-0.0124041\pi$
$499$	21.4511	+	21.4511i	0.960282	+	0.960282i	−0.0389588	+	0.999241i	$0.512404\pi$
$500$	−9.71952	+	20.1378i	−0.434670	+	0.900590i
$501$	−0.801359	+	2.99071i	−0.0358021	+	0.133615i
$502$	14.2239	+	3.69790i	0.634843	+	0.165046i
$503$	−7.12140	−	12.3346i	−0.317528	−	0.549974i	0.662444	−	0.749111i	$-0.269519\pi$
$503$	−7.12140	−	12.3346i	−0.317528	−	0.549974i	−0.979972	+	0.199138i	$0.936186\pi$
$504$	−42.4919	−	23.2821i	−1.89274	−	1.03707i
$505$	−1.69510	−	1.36644i	−0.0754310	−	0.0608059i
$506$	1.40888	+	2.39879i	0.0626324	+	0.106639i
$507$	−24.2316	−	34.9257i	−1.07616	−	1.55111i
$508$	−3.65930	+	6.56203i	−0.162355	+	0.291143i
$509$	0.00262605	+	0.00980056i	0.000116398	+	0.000434402i	0.965984	−	0.258602i	$-0.0832618\pi$
$509$	0.00262605	+	0.00980056i	0.000116398	+	0.000434402i	−0.965868	+	0.259036i	$0.916595\pi$
$510$	−3.23258	+	2.39672i	−0.143141	+	0.106129i
$511$	−0.267306	−	0.462988i	−0.0118249	−	0.0204814i
$512$	−14.8918	+	17.0363i	−0.658132	+	0.752903i
$513$	−4.28301	+	15.9844i	−0.189099	+	0.705728i
$514$	5.02394	+	18.2059i	0.221596	+	0.803026i
$515$	−3.79831	+	24.3312i	−0.167373	+	1.07216i
$516$	−19.6965	+	0.293561i	−0.867091	+	0.0129233i
$517$	12.4496	−	21.5633i	0.547533	−	0.948355i
$518$	11.0771	−	11.2434i	0.486701	−	0.494009i
$519$	−67.1056			−2.94561
$520$	−7.87975	+	21.3988i	−0.345550	+	0.938400i
$521$	−14.7746			−0.647288			−0.323644	−	0.946179i	$-0.604908\pi$
$521$	−14.7746			−0.647288			−0.323644	+	0.946179i	$0.604908\pi$
$522$	32.0916	−	32.5734i	1.40461	−	1.42570i
$523$	−11.9493	+	20.6968i	−0.522507	+	0.905009i	0.477150	+	0.878822i	$0.341670\pi$
$523$	−11.9493	+	20.6968i	−0.522507	+	0.905009i	−0.999657	+	0.0261871i	$0.991663\pi$
$524$	−1.55903	+	0.0232361i	−0.0681067	+	0.00101507i
$525$	16.6739	+	32.3680i	0.727707	+	1.41265i
$526$	2.82781	+	10.2475i	0.123298	+	0.446811i
$527$	0.937446	−	3.49860i	0.0408358	−	0.152401i
$528$	37.6813	+	8.90210i	1.63987	+	0.387414i
$529$	−11.2792	−	19.5362i	−0.490400	−	0.849398i
$530$	9.16111	+	12.3561i	0.397933	+	0.536713i
$531$	13.4862	+	50.3313i	0.585252	+	2.18419i
$532$	2.33970	−	4.19566i	0.101439	−	0.181905i
$533$	−19.2228	+	20.8874i	−0.832631	+	0.904736i
$534$	7.24150	+	12.3296i	0.313371	+	0.533552i
$535$	5.15781	−	6.39837i	0.222991	−	0.276626i
$536$	1.49887	−	2.73557i	0.0647413	−	0.118158i
$537$	35.7530	+	61.9260i	1.54286	+	2.67231i
$538$	−36.2304	−	9.41913i	−1.56200	−	0.406088i
$539$	−1.56334	+	5.83445i	−0.0673376	+	0.251307i
$540$	−9.57174	+	67.9443i	−0.411902	+	2.92386i
$541$	−23.3809	−	23.3809i	−1.00522	−	1.00522i	−0.999986	−	0.00523517i	$-0.998334\pi$
$541$	−23.3809	−	23.3809i	−1.00522	−	1.00522i	−0.00523517	−	0.999986i	$-0.501666\pi$
$542$	14.2342	+	8.07732i	0.611413	+	0.346951i
$543$	−48.1393	−	27.7932i	−2.06585	−	1.19272i
$544$	2.14623	+	0.490183i	0.0920187	+	0.0210164i
$545$	−1.53737	+	1.12219i	−0.0658536	+	0.0480693i
$546$	20.1162	+	31.2101i	0.860894	+	1.33567i
$547$	27.4618			1.17418			0.587091	−	0.809521i	$-0.300273\pi$
$547$	27.4618			1.17418			0.587091	+	0.809521i	$0.300273\pi$
$548$	9.14049	−	36.2662i	0.390462	−	1.54922i
$549$	−30.1247	+	52.1776i	−1.28569	+	2.22688i
$550$	−14.1903	−	15.3879i	−0.605077	−	0.656141i
$551$	3.20579	+	3.20579i	0.136571	+	0.136571i
$552$	5.97052	+	1.45757i	0.254122	+	0.0620384i
$553$	19.3547	+	5.18608i	0.823046	+	0.220534i
$554$	−5.66231	−	1.47208i	−0.240569	−	0.0625427i
$555$	−33.5076	−	14.8294i	−1.42232	−	0.629475i
$556$	5.10054	+	8.53798i	0.216311	+	0.362091i
$557$	−7.56801	−	28.2442i	−0.320667	−	1.19675i	−0.918596	−	0.395197i	$-0.870676\pi$
$557$	−7.56801	−	28.2442i	−0.320667	−	1.19675i	0.597929	−	0.801549i	$-0.295990\pi$
$558$	−51.2742	−	87.3007i	−2.17061	−	3.69573i
$559$	9.62249	+	5.03554i	0.406988	+	0.212980i
$560$	7.51490	−	18.4469i	0.317562	−	0.779525i
$561$	−0.974985	−	3.63869i	−0.0411639	−	0.153626i
$562$	11.1227	−	0.0828829i	0.469184	−	0.00349621i
$563$	35.6548	−	20.5853i	1.50267	−	0.867566i	0.502674	−	0.864476i	$-0.332350\pi$
$563$	35.6548	−	20.5853i	1.50267	−	0.867566i	0.999995	−	0.00309003i	$-0.000983589\pi$
$564$	−15.0272	−	52.9150i	−0.632759	−	2.22812i
$565$	42.7077	−	16.5029i	1.79673	−	0.694282i
$566$	−22.0649	+	6.08885i	−0.927456	+	0.255933i
$567$	42.6639	+	42.6639i	1.79171	+	1.79171i
$568$	−5.63889	+	3.42592i	−0.236603	+	0.143748i
$569$	2.10765	+	1.21685i	0.0883573	+	0.0510131i	0.543528	−	0.839391i	$-0.317088\pi$
$569$	2.10765	+	1.21685i	0.0883573	+	0.0510131i	−0.455170	+	0.890404i	$0.650422\pi$
$570$	−11.0317	−	1.63803i	−0.462069	−	0.0686097i
$571$	1.15715			0.0484253			0.0242127	−	0.999707i	$-0.492292\pi$
$571$	1.15715			0.0484253			0.0242127	+	0.999707i	$0.492292\pi$
$572$	−15.9209	−	14.2198i	−0.665687	−	0.594558i
$573$			17.2054i			0.718767i
$574$	17.4021	−	17.6634i	0.726351	−	0.737257i
$575$	−2.23418	−	2.45925i	−0.0931719	−	0.102558i
$576$	51.8644	−	33.1198i	2.16102	−	1.37999i
$577$	7.12064	+	7.12064i	0.296436	+	0.296436i	0.839616	−	0.543180i	$-0.182780\pi$
$577$	7.12064	+	7.12064i	0.296436	+	0.296436i	−0.543180	+	0.839616i	$0.682780\pi$
$578$	6.33832	+	22.9689i	0.263640	+	0.955382i
$579$	−35.4868	−	9.50867i	−1.47478	−	0.395167i
$580$	14.8094	+	11.5782i	0.614928	+	0.480760i
$581$	9.44318	+	16.3561i	0.391769	+	0.678564i
$582$	−50.1154	+	0.373444i	−2.07735	+	0.0154797i
$583$	−13.9084	+	3.72674i	−0.576026	+	0.154346i
$584$	0.678820	−	0.0151773i	0.0280898	−	0.000628041i
$585$	36.8853	−	49.8546i	1.52502	−	2.06123i
$586$	8.34404	−	4.90070i	0.344689	−	0.202446i
$587$	5.96100	+	22.2467i	0.246037	+	0.918221i	0.972860	+	0.231396i	$0.0743294\pi$
$587$	5.96100	+	22.2467i	0.246037	+	0.918221i	−0.726823	+	0.686825i	$0.759004\pi$
$588$	6.84357	+	11.4557i	0.282224	+	0.472424i
$589$	8.69332	−	5.01909i	0.358202	−	0.206808i
$590$	−19.9233	+	7.86979i	−0.820230	+	0.323994i
$591$	13.7308	−	51.2440i	0.564809	−	2.10790i
$592$	5.76302	+	19.1997i	0.236859	+	0.789102i
$593$	33.3841	−	33.3841i	1.37092	−	1.37092i	0.511840	−	0.859081i	$-0.328964\pi$
$593$	33.3841	−	33.3841i	1.37092	−	1.37092i	0.859081	−	0.511840i	$-0.171036\pi$
$594$	−55.8638	−	31.7003i	−2.29212	−	1.30068i
$595$	−1.92690	+	0.206854i	−0.0789952	+	0.00848019i
$596$	−8.28135	+	32.8575i	−0.339217	+	1.34589i
$597$	−62.0047			−2.53768
$598$	−2.51026	−	2.27589i	−0.102652	−	0.0930680i
$599$		−	7.52953i		−	0.307648i	−0.988098	−	0.153824i	$-0.950841\pi$
$599$		−	7.52953i		−	0.307648i	0.988098	−	0.153824i	$-0.0491589\pi$
$600$	−46.2281	−	1.18197i	−1.88725	−	0.0482537i
$601$	−18.0499	+	31.2634i	−0.736272	+	1.27526i	0.217891	+	0.975973i	$0.430082\pi$
$601$	−18.0499	+	31.2634i	−0.736272	+	1.27526i	−0.954163	+	0.299287i	$0.903251\pi$
$602$	−8.25076	−	4.68195i	−0.336276	−	0.190822i
$603$	−5.99851	+	5.99851i	−0.244278	+	0.244278i
$604$	5.06072	+	4.91208i	0.205918	+	0.199870i
$605$	−4.66581	+	1.80294i	−0.189692	+	0.0732999i
$606$	1.13295	−	4.35787i	0.0460230	−	0.177026i
$607$	−10.9694	−	18.9996i	−0.445235	−	0.771170i	0.552833	−	0.833292i	$-0.313547\pi$
$607$	−10.9694	−	18.9996i	−0.445235	−	0.771170i	−0.998069	+	0.0621216i	$0.980213\pi$
$608$	3.24535	+	5.16657i	0.131616	+	0.209532i
$609$	29.5665	−	7.92232i	1.19809	−	0.321029i
$610$	−22.7238	−	9.85504i	−0.920060	−	0.399019i
$611$	−6.62777	+	29.5940i	−0.268131	+	1.19724i
$612$	−5.22906	−	2.91597i	−0.211372	−	0.117871i
$613$	−16.5462	+	4.43355i	−0.668295	+	0.179069i	−0.576987	−	0.816753i	$-0.695772\pi$
$613$	−16.5462	+	4.43355i	−0.668295	+	0.179069i	−0.0913085	+	0.995823i	$0.529105\pi$
$614$	23.4667	−	0.174866i	0.947037	−	0.00705701i
$615$	−52.6403	−	23.2970i	−2.12266	−	0.939426i
$616$	13.4763	+	12.8869i	0.542977	+	0.519228i
$617$	−0.443676	+	1.65582i	−0.0178617	+	0.0666609i	−0.974281	−	0.225334i	$-0.927653\pi$
$617$	−0.443676	+	1.65582i	−0.0178617	+	0.0666609i	0.956420	+	0.291995i	$0.0943192\pi$
$618$	−49.0929	+	13.5473i	−1.97481	+	0.544952i
$619$	−16.6523	+	16.6523i	−0.669312	+	0.669312i	−0.957557	−	0.288244i	$-0.906928\pi$
$619$	−16.6523	+	16.6523i	−0.669312	+	0.669312i	0.288244	+	0.957557i	$0.406928\pi$
$620$	33.2491	−	25.0378i	1.33531	−	1.00554i
$621$	−8.82960	−	5.09777i	−0.354320	−	0.204567i
$622$	−0.389552	+	0.395401i	−0.0156196	+	0.0158541i
$623$			6.88611i			0.275886i
$624$	−47.0392	+	3.35885i	−1.88308	+	0.134462i
$625$	20.3552	+	14.5143i	0.814208	+	0.580574i
$626$	27.8561	+	27.4440i	1.11335	+	1.09688i
$627$	5.22007	−	9.04143i	0.208470	−	0.361080i
$628$	−17.9654	+	0.267759i	−0.716897	+	0.0106848i
$629$	1.37909	−	1.37909i	0.0549881	−	0.0549881i
$630$	−33.6823	+	42.4268i	−1.34193	+	1.69032i
$631$	22.1579	+	5.93720i	0.882094	+	0.236356i	0.671310	−	0.741176i	$-0.265732\pi$
$631$	22.1579	+	5.93720i	0.882094	+	0.236356i	0.210784	+	0.977533i	$0.432398\pi$
$632$	−17.5883	+	18.3928i	−0.699624	+	0.731625i
$633$	26.1320	−	15.0873i	1.03865	−	0.599666i
$634$	−3.75481	+	0.0279796i	−0.149123	+	0.00111121i
$635$	6.53991	+	5.27191i	0.259528	+	0.209209i
$636$	−15.4929	+	27.7825i	−0.614332	+	1.10165i
$637$	−0.305068	−	7.35067i	−0.0120872	−	0.291244i
$638$	−15.1737	+	8.91194i	−0.600732	+	0.352827i
$639$	17.3325	−	4.64423i	0.685664	−	0.183723i
$640$	15.9604	+	19.6282i	0.630891	+	0.775872i
$641$	22.2212	−	12.8294i	0.877686	−	0.506732i	0.00779130	−	0.999970i	$-0.497520\pi$
$641$	22.2212	−	12.8294i	0.877686	−	0.506732i	0.869895	+	0.493237i	$0.164187\pi$
$642$	16.4493	+	4.27647i	0.649203	+	0.168779i
$643$	7.55921	+	2.02548i	0.298106	+	0.0798773i	0.404772	−	0.914418i	$-0.367351\pi$
$643$	7.55921	+	2.02548i	0.298106	+	0.0798773i	−0.106666	+	0.994295i	$0.534018\pi$
$644$	2.12382	+	2.06144i	0.0836901	+	0.0812321i
$645$	−3.39696	+	21.7603i	−0.133755	+	0.856810i
$646$	0.292968	−	0.516282i	0.0115267	−	0.0203128i
$647$	10.0526	+	5.80390i	0.395210	+	0.228175i	0.684415	−	0.729092i	$-0.260058\pi$
$647$	10.0526	+	5.80390i	0.395210	+	0.228175i	−0.289205	+	0.957267i	$0.593391\pi$
$648$	−73.5572	+	21.4829i	−2.88960	+	0.843929i
$649$		−	20.0527i		−	0.787137i
$650$	22.0923	+	12.7252i	0.866531	+	0.499123i
$651$		−	67.7737i		−	2.65626i
$652$	−21.1596	−	5.33303i	−0.828673	−	0.208858i
$653$	−21.0423	−	12.1488i	−0.823447	−	0.475418i	0.0281565	−	0.999604i	$-0.491036\pi$
$653$	−21.0423	−	12.1488i	−0.823447	−	0.475418i	−0.851604	+	0.524186i	$0.824370\pi$
$654$	−3.42349	−	1.94268i	−0.133869	−	0.0759649i
$655$	−0.268878	+	1.72238i	−0.0105059	+	0.0672991i
$656$	9.05369	+	30.1627i	0.353487	+	1.17765i
$657$	−1.78365	−	0.477929i	−0.0695870	−	0.0186458i
$658$	6.66545	−	25.6385i	0.259846	−	0.999492i
$659$	−43.0930	+	24.8798i	−1.67867	+	0.969178i	−0.716152	+	0.697944i	$0.754098\pi$
$659$	−43.0930	+	24.8798i	−1.67867	+	0.969178i	−0.962513	+	0.271234i	$0.912568\pi$
$660$	16.9274	−	39.8419i	0.658896	−	1.55084i
$661$	−48.7549	+	13.0638i	−1.89635	+	0.508124i	−0.898779	+	0.438402i	$0.855544\pi$
$661$	−48.7549	+	13.0638i	−1.89635	+	0.508124i	−0.997566	+	0.0697218i	$0.977789\pi$
$662$	11.9974	+	20.4271i	0.466293	+	0.793922i
$663$	2.45692	+	3.87499i	0.0954187	+	0.150492i
$664$	−23.9808	+	0.536171i	−0.930637	+	0.0208075i
$665$	−4.18152	−	3.37078i	−0.162152	−	0.130713i
$666$	−0.406230	−	54.5153i	−0.0157411	−	2.11242i
$667$	−2.41901	+	1.39662i	−0.0936646	+	0.0540773i
$668$	−0.517350	−	1.82174i	−0.0200169	−	0.0704851i
$669$	−61.4825	−	16.4742i	−2.37705	−	0.636928i
$670$	−2.73137	−	2.16841i	−0.105522	−	0.0837732i
$671$	16.3952	−	16.3952i	0.632930	−	0.632930i
$672$	41.1649	−	1.53442i	1.58797	−	0.0591914i
$673$	−20.5907	+	35.6642i	−0.793714	+	1.37475i	0.129938	+	0.991522i	$0.458522\pi$
$673$	−20.5907	+	35.6642i	−0.793714	+	1.37475i	−0.923653	+	0.383231i	$0.874811\pi$
$674$	−7.45475	+	7.56668i	−0.287146	+	0.291458i
$675$	73.0641	+	23.3816i	2.81224	+	0.899959i
$676$	23.6791	+	10.7378i	0.910734	+	0.412994i
$677$			0.698526i			0.0268465i	0.999910	+	0.0134233i	$0.00427289\pi$
$677$			0.698526i			0.0268465i	−0.999910	+	0.0134233i	$0.995727\pi$
$678$	67.4507	+	66.4529i	2.59043	+	2.55211i
$679$	−20.9019	−	12.0677i	−0.802143	−	0.463118i
$680$	0.945561	−	2.27247i	0.0362606	−	0.0871453i
$681$	65.8055	−	65.8055i	2.52167	−	2.52167i
$682$	10.3645	+	37.5590i	0.396876	+	1.43821i
$683$	6.30184	−	23.5188i	0.241133	−	0.899922i	−0.734154	−	0.678983i	$-0.762421\pi$
$683$	6.30184	−	23.5188i	0.241133	−	0.899922i	0.975288	−	0.220939i	$-0.0709122\pi$
$684$	−4.53296	−	15.9618i	−0.173322	−	0.610316i
$685$	−38.2375	−	16.9228i	−1.46098	−	0.646585i
$686$	0.212162	+	28.4718i	0.00810039	+	1.08706i
$687$	19.9808	−	5.35384i	0.762315	−	0.204262i
$688$	10.2502	−	6.33257i	0.390785	−	0.241427i
$689$	14.8116	−	9.39121i	0.564276	−	0.357776i
$690$	2.73395	−	6.30397i	0.104080	−	0.239988i
$691$	−34.3966	+	9.21653i	−1.30851	+	0.350613i	−0.844661	−	0.535302i	$-0.820198\pi$
$691$	−34.3966	+	9.21653i	−1.30851	+	0.350613i	−0.463847	+	0.885916i	$0.653531\pi$
$692$	35.2359	−	21.0498i	1.33947	−	0.800191i
$693$	−25.3551	−	43.9164i	−0.963162	−	1.66824i
$694$	−14.8621	−	3.86383i	−0.564158	−	0.146669i
$695$	10.3720	−	4.00788i	0.393431	−	0.152028i
$696$	−9.21994	+	37.7668i	−0.349481	+	1.43155i
$697$	2.16655	−	2.16655i	0.0820640	−	0.0820640i
$698$	−6.85654	+	12.0829i	−0.259524	+	0.457345i
$699$	9.36380	−	16.2186i	0.354172	−	0.613443i
$700$	−18.9083	−	11.7655i	−0.714668	−	0.444696i
$701$		−	0.112358i		−	0.00424369i	−0.999998	−	0.00212185i	$-0.999325\pi$
$701$		−	0.112358i		−	0.00424369i	0.999998	−	0.00212185i	$-0.000675405\pi$
$702$	76.4676	+	16.5280i	2.88608	+	0.623810i
$703$	5.40522			0.203862
$704$	−22.5782	+	7.14559i	−0.850947	+	0.269310i
$705$	−61.1488	+	6.56437i	−2.30300	+	0.247228i
$706$	−6.35078	+	11.1916i	−0.239015	+	0.421203i
$707$	1.53332	−	1.53332i	0.0576666	−	0.0576666i
$708$	−31.7885	−	30.8549i	−1.19469	−	1.15960i
$709$	−0.751495	+	2.80462i	−0.0282230	+	0.105330i	−0.978601	−	0.205769i	$-0.934030\pi$
$709$	−0.751495	+	2.80462i	−0.0282230	+	0.105330i	0.950378	+	0.311099i	$0.100697\pi$
$710$	2.71011	+	6.86096i	0.101709	+	0.257487i
$711$	59.9379	−	34.6051i	2.24785	−	1.29779i
$712$	−7.66992	−	4.20250i	−0.287443	−	0.157495i
$713$	1.60070	+	5.97388i	0.0599466	+	0.223724i
$714$	−2.02973	−	3.45586i	−0.0759606	−	0.129332i
$715$	−18.6769	+	14.8583i	−0.698477	+	0.555669i
$716$	−38.1982	−	21.3012i	−1.42754	−	0.796061i
$717$	−9.30155	+	2.49234i	−0.347373	+	0.0930783i
$718$	0.266424	+	35.7536i	0.00994287	+	1.33431i
$719$	11.1693	+	19.3458i	0.416545	+	0.721477i	0.995589	−	0.0938193i	$-0.0299076\pi$
$719$	11.1693	+	19.3458i	0.416545	+	0.721477i	−0.579045	+	0.815296i	$0.696574\pi$
$720$	−26.7002	−	63.4086i	−0.995056	−	2.36310i
$721$	−23.6904	−	6.34782i	−0.882276	−	0.236405i
$722$	−24.3161	+	6.71006i	−0.904950	+	0.249723i
$723$	13.0651	+	13.0651i	0.485895	+	0.485895i
$724$	33.9952	−	0.506671i	1.26342	−	0.0188303i
$725$	15.5561	−	14.1324i	0.577740	−	0.524865i
$726$	−7.36897	−	7.25996i	−0.273488	−	0.269442i
$727$		−	44.0639i		−	1.63424i	−0.576467	−	0.817121i	$-0.695569\pi$
$727$		−	44.0639i		−	1.63424i	0.576467	−	0.817121i	$-0.304431\pi$
$728$	−20.3527	−	10.0778i	−0.754319	−	0.373507i
$729$	57.8946			2.14424
$730$	0.111497	−	0.750901i	0.00412668	−	0.0277921i
$731$	−1.01519	−	0.586121i	−0.0375482	−	0.0216785i
$732$	−0.763356	−	51.2176i	−0.0282145	−	1.89306i
$733$	30.9294	+	30.9294i	1.14241	+	1.14241i	0.988009	+	0.154396i	$0.0493432\pi$
$733$	30.9294	+	30.9294i	1.14241	+	1.14241i	0.154396	+	0.988009i	$0.450657\pi$
$734$	−9.10111	−	32.9808i	−0.335928	−	1.21734i
$735$	13.9164	−	5.37750i	0.513314	−	0.198352i
$736$	−3.59222	+	1.10749i	−0.132411	+	0.0408227i
$737$	2.82727	−	1.63233i	0.104144	−	0.0601275i
$738$	−0.638186	−	85.6433i	−0.0234920	−	3.15257i
$739$	−11.7116	−	43.7082i	−0.430817	−	1.60783i	−0.750883	−	0.660435i	$-0.770372\pi$
$739$	−11.7116	−	43.7082i	−0.430817	−	1.60783i	0.320066	−	0.947395i	$-0.396295\pi$
$740$	22.2459	−	2.72403i	0.817776	−	0.100137i
$741$	−2.77900	+	12.4086i	−0.102089	+	0.455843i
$742$	−13.2095	+	7.75834i	−0.484937	+	0.284817i
$743$	−8.86956	−	33.1016i	−0.325392	−	1.21438i	−0.913917	−	0.405902i	$-0.866958\pi$
$743$	−8.86956	−	33.1016i	−0.325392	−	1.21438i	0.588524	−	0.808480i	$-0.299709\pi$
$744$	75.4881	+	41.3613i	2.76753	+	1.51638i
$745$	34.6434	+	15.3321i	1.26924	+	0.561726i
$746$	−7.01721	+	26.9915i	−0.256918	+	0.988229i
$747$	63.0115	+	16.8839i	2.30547	+	0.617749i
$748$	1.65333	+	1.60478i	0.0604519	+	0.0586764i
$749$	5.78773	+	5.78773i	0.211479	+	0.211479i
$750$	−10.0344	+	50.7183i	−0.366406	+	1.85197i
$751$	−12.3563	+	21.4018i	−0.450889	+	0.780962i	−0.998441	−	0.0558092i	$-0.982226\pi$
$751$	−12.3563	+	21.4018i	−0.450889	+	0.780962i	0.547553	+	0.836771i	$0.315559\pi$
$752$	24.4889	+	23.0709i	0.893019	+	0.841310i
$753$	33.9811			1.23834
$754$	14.3962	−	15.8788i	0.524280	−	0.578271i
$755$	6.36884	−	4.64888i	0.231786	−	0.169190i
$756$	−66.2648	−	16.7013i	−2.41003	−	0.607419i
$757$	10.2176	+	5.89913i	0.371365	+	0.214408i	0.674055	−	0.738682i	$-0.264551\pi$
$757$	10.2176	+	5.89913i	0.371365	+	0.214408i	−0.302690	+	0.953089i	$0.597885\pi$
$758$	−19.7495	+	34.8034i	−0.717333	+	1.26412i
$759$	4.54830	+	4.54830i	0.165093	+	0.165093i
$760$	6.30638	−	2.60034i	0.228756	−	0.0943244i
$761$	1.79063	−	6.68272i	0.0649103	−	0.242248i	−0.925846	−	0.377900i	$-0.876646\pi$
$761$	1.79063	−	6.68272i	0.0649103	−	0.242248i	0.990757	+	0.135652i	$0.0433129\pi$
$762$	−4.37107	+	16.8132i	−0.158347	+	0.609078i
$763$	−0.947825	−	1.64168i	−0.0343136	−	0.0594329i
$764$	−5.39701	−	9.03425i	−0.195257	−	0.326848i
$765$	−4.20100	+	5.21144i	−0.151888	+	0.188420i
$766$	22.2836	−	13.0878i	0.805139	−	0.472881i
$767$	7.29424	+	23.3094i	0.263380	+	0.841654i
$768$	−23.4133	+	46.7869i	−0.844853	+	1.68828i
$769$	3.54516	+	13.2307i	0.127842	+	0.477112i	0.999925	−	0.0122455i	$-0.00389797\pi$
$769$	3.54516	+	13.2307i	0.127842	+	0.477112i	−0.872083	+	0.489358i	$0.837231\pi$
$770$	16.7464	−	12.4162i	0.603499	−	0.447450i
$771$	21.8341	+	37.8178i	0.786336	+	1.36197i
$772$	21.6162	−	6.13872i	0.777983	−	0.220937i
$773$	−3.03603	+	11.3306i	−0.109198	+	0.407534i	−0.998788	−	0.0492276i	$-0.984324\pi$
$773$	−3.03603	+	11.3306i	−0.109198	+	0.407534i	0.889589	+	0.456761i	$0.150991\pi$
$774$	−31.5866	+	8.71637i	−1.13536	+	0.313303i
$775$	−21.3104	−	41.3686i	−0.765491	−	1.48600i
$776$	26.1975	−	15.9163i	0.940436	−	0.571363i
$777$	18.2469	−	31.6046i	0.654605	−	1.13381i
$778$	25.8498	+	25.4674i	0.926759	+	0.913050i
$779$	8.49159			0.304243
$780$	−5.18385	+	52.4699i	−0.185611	+	1.87872i
$781$	−6.90552			−0.247099
$782$	0.260531	+	0.256677i	0.00931656	+	0.00917874i
$783$	32.2462	−	55.8520i	1.15238	−	1.99599i
$784$	−7.18685	−	3.86847i	−0.256673	−	0.138160i
$785$	−3.09840	+	19.8478i	−0.110587	+	0.708397i
$786$	−3.47524	+	0.958999i	−0.123958	+	0.0342064i
$787$	−7.53730	+	28.1296i	−0.268676	+	1.00271i	0.691286	+	0.722581i	$0.257044\pi$
$787$	−7.53730	+	28.1296i	−0.268676	+	1.00271i	−0.959962	+	0.280131i	$0.909622\pi$
$788$	8.86448	+	31.2143i	0.315784	+	1.11196i
$789$	12.2897	+	21.2864i	0.437525	+	0.757815i
$790$	16.9459	+	22.8558i	0.602908	+	0.813173i
$791$	11.8021	+	44.0459i	0.419633	+	1.56609i
$792$	64.3890	−	1.43963i	2.28796	−	0.0511551i
$793$	−13.0941	+	25.0217i	−0.464985	+	0.888547i
$794$	−14.4494	+	8.48656i	−0.512791	+	0.301177i
$795$	27.6889	+	22.3204i	0.982024	+	0.791622i
$796$	32.5575	−	19.4497i	1.15397	−	0.689376i
$797$	−9.37775	−	16.2427i	−0.332177	−	0.575347i	0.650762	−	0.759282i	$-0.274450\pi$
$797$	−9.37775	−	16.2427i	−0.332177	−	0.575347i	−0.982938	+	0.183935i	$0.941116\pi$
$798$	2.79480	−	10.7501i	0.0989348	−	0.380550i
$799$	0.847221	−	3.16187i	0.0299725	−	0.111859i
$800$	24.6443	−	13.8802i	0.871306	−	0.490740i
$801$	16.8185	+	16.8185i	0.594252	+	0.594252i
$802$	5.76066	−	10.1517i	0.203416	−	0.358469i
$803$	0.615426	+	0.355316i	0.0217179	+	0.0125388i
$804$	1.76265	−	6.99357i	0.0621638	−	0.246644i
$805$	2.67279	−	1.95098i	0.0942036	−	0.0687632i
$806$	−25.7099	−	39.8887i	−0.905594	−	1.40502i
$807$	−86.5552			−3.04689
$808$	0.772088	+	2.64362i	0.0271620	+	0.0930022i
$809$	21.1695	−	36.6666i	0.744278	−	1.28913i	−0.206253	−	0.978499i	$-0.566127\pi$
$809$	21.1695	−	36.6666i	0.744278	−	1.28913i	0.950531	−	0.310629i	$-0.100540\pi$
$810$	9.77924	+	85.1152i	0.343607	+	2.99064i
$811$	5.27674	+	5.27674i	0.185291	+	0.185291i	0.793657	−	0.608366i	$-0.208175\pi$
$811$	5.27674	+	5.27674i	0.185291	+	0.185291i	−0.608366	+	0.793657i	$0.708175\pi$
$812$	−13.0397	+	13.4343i	−0.457605	+	0.471452i
$813$	36.5521	+	9.79412i	1.28194	+	0.343495i
$814$	−5.27891	+	20.3052i	−0.185026	+	0.711696i
$815$	−9.87360	+	22.3097i	−0.345857	+	0.781475i
$816$	5.08794	−	0.151697i	0.178113	−	0.00531045i
$817$	−0.840849	−	3.13809i	−0.0294176	−	0.109788i
$818$	−37.2335	+	21.8683i	−1.30184	+	0.764608i
$819$	45.4477	+	41.8257i	1.58807	+	1.46151i
$820$	34.9482	−	4.27944i	1.22045	−	0.149444i
$821$	−2.06410	−	7.70331i	−0.0720374	−	0.268847i	0.920508	−	0.390724i	$-0.127775\pi$
$821$	−2.06410	−	7.70331i	−0.0720374	−	0.268847i	−0.992545	+	0.121877i	$0.961109\pi$
$822$	−0.644370	−	86.4732i	−0.0224750	−	3.01610i
$823$	39.2776	−	22.6769i	1.36913	−	0.790468i	0.378314	−	0.925677i	$-0.376504\pi$
$823$	39.2776	−	22.6769i	1.36913	−	0.790468i	0.990817	+	0.135209i	$0.0431707\pi$
$824$	21.5283	−	22.5129i	0.749972	−	0.784275i
$825$	−40.7069	−	26.1790i	−1.41723	−	0.911435i
$826$	−5.67516	−	20.5658i	−0.197464	−	0.715575i
$827$	3.23506	+	3.23506i	0.112494	+	0.112494i	0.761113	−	0.648619i	$-0.224653\pi$
$827$	3.23506	+	3.23506i	0.112494	+	0.112494i	−0.648619	+	0.761113i	$0.724653\pi$
$828$	10.2220	−	0.152350i	0.355238	−	0.00529453i
$829$	−26.3412	−	15.2081i	−0.914869	−	0.528200i	−0.0328746	−	0.999459i	$-0.510466\pi$
$829$	−26.3412	−	15.2081i	−0.914869	−	0.528200i	−0.881995	+	0.471260i	$0.843800\pi$
$830$	−3.93887	+	26.5273i	−0.136720	+	0.920774i
$831$	−13.5274			−0.469260
$832$	23.6458	−	16.5190i	0.819770	−	0.572692i
$833$			0.794092i			0.0275137i
$834$	16.3810	+	16.1387i	0.567228	+	0.558837i
$835$	−2.10521	+	0.225995i	−0.0728537	+	0.00782089i
$836$	0.0951620	+	6.38492i	0.00329125	+	0.220827i
$837$	−100.971	−	100.971i	−3.49009	−	3.49009i
$838$	50.9688	−	14.0649i	1.76069	−	0.485865i
$839$	−0.622092	−	0.166689i	−0.0214770	−	0.00575474i	0.248065	−	0.968744i	$-0.420205\pi$
$839$	−0.622092	−	0.166689i	−0.0214770	−	0.00575474i	−0.269542	+	0.962989i	$0.586872\pi$
$840$	6.08471	−	45.6520i	0.209942	−	1.57514i
$841$	5.66563	+	9.81316i	0.195367	+	0.338385i
$842$	−0.0565869	−	7.59385i	−0.00195011	−	0.261701i
$843$	24.8419	−	6.65637i	0.855601	−	0.229257i
$844$	−8.98881	+	16.1192i	−0.309408	+	0.554844i
$845$	16.3054	−	24.0652i	0.560923	−	0.827868i
$846$	−46.3393	−	78.8984i	−1.59318	−	2.71258i
$847$	−1.28937	−	4.81201i	−0.0443034	−	0.165342i
$848$	−0.579839	−	19.4479i	−0.0199117	−	0.667844i
$849$	−45.8338	+	26.4622i	−1.57301	+	0.908180i
$850$	−2.32557	−	1.47122i	−0.0797664	−	0.0504623i
$851$	−0.861922	+	3.21674i	−0.0295463	+	0.110268i
$852$	−10.6255	+	10.9470i	−0.364022	+	0.375037i
$853$	25.7195	−	25.7195i	0.880618	−	0.880618i	−0.112979	−	0.993597i	$-0.536039\pi$
$853$	25.7195	−	25.7195i	0.880618	−	0.880618i	0.993597	+	0.112979i	$0.0360394\pi$
$854$	12.1747	−	21.4547i	0.416608	−	0.734166i
$855$	−18.4456	+	1.98014i	−0.630825	+	0.0677195i
$856$	−9.97868	+	2.91434i	−0.341064	+	0.0996103i
$857$	17.4612			0.596463			0.298232	−	0.954494i	$-0.403603\pi$
$857$	17.4612			0.596463			0.298232	+	0.954494i	$0.403603\pi$
$858$	−43.9000	−	22.5582i	−1.49872	−	0.770124i
$859$			7.74262i			0.264175i	0.991238	+	0.132087i	$0.0421680\pi$
$859$			7.74262i			0.264175i	−0.991238	+	0.132087i	$0.957832\pi$
$860$	−5.04211	−	12.4915i	−0.171934	−	0.425956i
$861$	28.6659	−	49.6508i	0.976931	−	1.69209i
$862$	13.0577	−	23.0108i	0.444746	−	0.783752i
$863$	5.34955	−	5.34955i	0.182101	−	0.182101i	−0.610170	−	0.792271i	$-0.708899\pi$
$863$	5.34955	−	5.34955i	0.182101	−	0.182101i	0.792271	+	0.610170i	$0.208899\pi$
$864$	59.0427	−	63.6148i	2.00867	−	2.16422i
$865$	−16.5404	−	42.8047i	−0.562389	−	1.45540i
$866$	18.5595	+	4.82507i	0.630677	+	0.163962i
$867$	27.5464	+	47.7118i	0.935525	+	1.62038i
$868$	21.2593	+	35.5867i	0.721588	+	1.20789i
$869$	−25.7272	+	6.89359i	−0.872736	+	0.233849i
$870$	39.8760	+	17.2937i	1.35192	+	0.586313i
$871$	−2.69268	+	2.92586i	−0.0912378	+	0.0991388i
$872$	2.40699	−	0.0538163i	0.0815110	−	0.00182245i
$873$	−80.5244	+	21.5765i	−2.72534	+	0.730252i
$874$	0.00755281	+	1.01357i	0.000255478	+	0.0342846i
$875$	−16.5368	+	18.6139i	−0.559045	+	0.629265i
$876$	1.51022	−	0.428882i	0.0510254	−	0.0144906i
$877$	3.46106	−	12.9169i	0.116872	−	0.436171i	−0.882548	−	0.470222i	$-0.844174\pi$
$877$	3.46106	−	12.9169i	0.116872	−	0.436171i	0.999420	+	0.0340503i	$0.0108406\pi$
$878$	−4.37293	−	15.8467i	−0.147579	−	0.534801i
$879$	15.8210	−	15.8210i	0.533628	−	0.533628i
$880$	3.60941	+	26.2300i	0.121673	+	0.884214i
$881$	8.24315	+	4.75919i	0.277719	+	0.160341i	0.632390	−	0.774650i	$-0.282074\pi$
$881$	8.24315	+	4.75919i	0.277719	+	0.160341i	−0.354671	+	0.934991i	$0.615407\pi$
$882$	15.8121	+	15.5782i	0.532421	+	0.524545i
$883$		−	13.7009i		−	0.461073i	−0.973064	−	0.230537i	$-0.925952\pi$
$883$		−	13.7009i		−	0.461073i	0.973064	−	0.230537i	$-0.0740482\pi$
$884$	−2.50559	−	1.26400i	−0.0842721	−	0.0425128i
$885$	−40.0054	+	29.2016i	−1.34477	+	0.981602i
$886$	23.8114	−	24.1689i	0.799959	−	0.811970i
$887$	14.7346	−	25.5211i	0.494740	−	0.856915i	−0.505241	−	0.862978i	$-0.668597\pi$
$887$	14.7346	−	25.5211i	0.494740	−	0.856915i	0.999982	+	0.00606288i	$0.00192989\pi$
$888$	24.0662	+	39.6118i	0.807608	+	1.32928i
$889$	−5.91576	+	5.91576i	−0.198408	+	0.198408i
$890$	−6.07976	+	7.65816i	−0.203794	+	0.256702i
$891$	−77.4686	−	20.7576i	−2.59529	−	0.695407i
$892$	37.4509	−	10.6356i	1.25395	−	0.356106i
$893$	7.85662	−	4.53602i	0.262912	−	0.151792i
$894$	0.583804	+	78.3454i	0.0195253	+	2.62026i
$895$	−30.6883	+	38.0695i	−1.02580	+	1.27252i
$896$	−21.1336	+	13.7183i	−0.706023	+	0.458297i
$897$	−6.94144	−	3.63252i	−0.231768	−	0.121286i
$898$	−22.2590	−	37.8986i	−0.742791	−	1.26469i
$899$	−37.7881	+	10.1253i	−1.26030	+	0.337697i
$900$	−74.9172	+	17.4454i	−2.49724	+	0.581513i
$901$	−1.63938	+	0.946494i	−0.0546155	+	0.0315323i
$902$	−8.29315	+	31.8994i	−0.276132	+	1.06213i
$903$	−21.1871	−	5.67708i	−0.705064	−	0.188921i
$904$	−56.2621	−	13.7352i	−1.87125	−	0.456825i
$905$	5.86298	−	37.5572i	0.194892	−	1.24844i
$906$	14.1824	+	8.04793i	0.471180	+	0.267375i
$907$	−23.8401	−	13.7641i	−0.791596	−	0.457028i	0.0489282	−	0.998802i	$-0.484419\pi$
$907$	−23.8401	−	13.7641i	−0.791596	−	0.457028i	−0.840524	+	0.541774i	$0.817753\pi$
$908$	−13.9113	+	55.1952i	−0.461663	+	1.83172i
$909$		−	7.48991i		−	0.248425i
$910$	−14.9497	+	20.5243i	−0.495578	+	0.680373i
$911$			30.1197i			0.997911i	0.866628	+	0.498955i	$0.166283\pi$
$911$			30.1197i			0.997911i	−0.866628	+	0.498955i	$0.833717\pi$
$912$	10.2681	+	9.67356i	0.340011	+	0.320323i
$913$	−21.7413	−	12.5523i	−0.719532	−	0.415422i
$914$	7.88427	−	13.8940i	0.260788	−	0.459574i
$915$	−56.5841	−	8.83324i	−1.87061	−	0.292018i
$916$	−8.81214	+	9.07879i	−0.291161	+	0.299972i
$917$	−1.67702	−	0.449356i	−0.0553800	−	0.0148390i
$918$	−8.17261	−	2.12470i	−0.269736	−	0.0701256i
$919$	34.6922	−	20.0295i	1.14439	−	0.660714i	0.196876	−	0.980428i	$-0.436920\pi$
$919$	34.6922	−	20.0295i	1.14439	−	0.660714i	0.947514	+	0.319715i	$0.103587\pi$
$920$	0.541886	+	4.16768i	0.0178655	+	0.137404i
$921$	52.4113	−	14.0436i	1.72701	−	0.462751i
$922$	−30.1097	+	17.6843i	−0.991611	+	0.582402i
$923$	8.02702	−	2.51191i	0.264213	−	0.0826804i
$924$	37.6542	+	20.9978i	1.23873	+	0.690776i
$925$	1.20022	−	25.0287i	0.0394631	−	0.822938i
$926$	−35.4000	+	0.263789i	−1.16332	+	0.00866866i
$927$	−73.3646	+	42.3571i	−2.40961	+	1.39119i
$928$	−7.00550	−	22.7227i	−0.229967	−	0.745910i
$929$	21.7513	+	5.82824i	0.713637	+	0.191218i	0.597331	−	0.801995i	$-0.296228\pi$
$929$	21.7513	+	5.82824i	0.713637	+	0.191218i	0.116306	+	0.993213i	$0.462895\pi$
$930$	59.8375	−	75.3723i	1.96215	−	2.47156i
$931$	−1.55618	+	1.55618i	−0.0510019	+	0.0510019i
$932$	0.170702	+	11.4533i	0.00559154	+	0.375166i
$933$	−0.641695	+	1.11145i	−0.0210081	+	0.0363872i
$934$	−14.4629	−	14.2489i	−0.473240	−	0.466239i
$935$	2.08070	−	1.51879i	0.0680461	−	0.0496697i
$936$	−74.3226	+	25.0952i	−2.42931	+	0.820261i
$937$			25.3504i			0.828160i	0.910240	+	0.414080i	$0.135897\pi$
$937$			25.3504i			0.828160i	−0.910240	+	0.414080i	$0.864103\pi$
$938$	2.43764	−	2.47424i	0.0795918	−	0.0807869i
$939$	78.3018	+	45.2076i	2.55528	+	1.47529i
$940$	30.0490	−	22.6280i	0.980090	−	0.738045i
$941$	−23.5132	+	23.5132i	−0.766508	+	0.766508i	−0.977490	−	0.210982i	$-0.932334\pi$
$941$	−23.5132	+	23.5132i	−0.766508	+	0.766508i	0.210982	+	0.977490i	$0.432334\pi$
$942$	−40.0467	+	11.0510i	−1.30479	+	0.360059i
$943$	−1.35408	+	5.05348i	−0.0440948	+	0.164564i
$944$	26.3701	+	6.22986i	0.858275	+	0.202765i
$945$	−30.9208	+	69.8666i	−1.00585	+	2.27276i
$946$	12.6097	−	0.0939634i	0.409977	−	0.00305502i
$947$	−23.1428	+	6.20108i	−0.752038	+	0.201508i	−0.614422	−	0.788978i	$-0.710611\pi$
$947$	−23.1428	+	6.20108i	−0.752038	+	0.201508i	−0.137616	+	0.990486i	$0.543944\pi$
$948$	−28.6582	+	51.3912i	−0.930774	+	1.66911i
$949$	−0.844623	−	0.189159i	−0.0274176	−	0.00614036i
$950$	−1.67428	−	7.44057i	−0.0543208	−	0.241404i
$951$	−8.38613	+	2.24706i	−0.271939	+	0.0728658i
$952$	2.14981	+	1.17792i	0.0696757	+	0.0381767i
$953$	−13.8472	−	23.9840i	−0.448554	−	0.776918i	0.549738	−	0.835337i	$-0.314727\pi$
$953$	−13.8472	−	23.9840i	−0.448554	−	0.776918i	−0.998292	+	0.0584189i	$0.981394\pi$
$954$	−13.3139	+	51.2114i	−0.431053	+	1.65803i
$955$	−10.9748	+	4.24084i	−0.355137	+	0.137230i
$956$	4.10227	−	4.22640i	0.132677	−	0.136692i
$957$	−28.7705	+	28.7705i	−0.930018	+	0.930018i
$958$	−28.0229	−	15.9018i	−0.905378	−	0.513763i
$959$	20.8227	−	36.0659i	0.672399	−	1.16463i
$960$	47.1349	+	34.6380i	1.52127	+	1.11794i
$961$			55.6196i			1.79418i
$962$	−1.24984	−	25.5231i	−0.0402964	−	0.822898i
$963$	28.2716			0.911040
$964$	−10.9585	−	2.76196i	−0.352949	−	0.0889566i
$965$	−2.68159	−	24.9797i	−0.0863234	−	0.804126i
$966$	5.95191	+	3.37745i	0.191499	+	0.108668i
$967$	11.0466	−	11.0466i	0.355235	−	0.355235i	−0.506818	−	0.862053i	$-0.669178\pi$
$967$	11.0466	−	11.0466i	0.355235	−	0.355235i	0.862053	+	0.506818i	$0.169178\pi$
$968$	6.14662	+	1.50056i	0.197560	+	0.0482299i
$969$	0.355237	−	1.32576i	0.0114118	−	0.0425896i
$970$	−12.5908	−	31.8751i	−0.404266	−	1.02345i
$971$	−16.3836	+	9.45907i	−0.525775	+	0.303556i	−0.739294	−	0.673383i	$-0.764841\pi$
$971$	−16.3836	+	9.45907i	−0.525775	+	0.303556i	0.213519	+	0.976939i	$0.431507\pi$
$972$	−73.0772	+	43.6559i	−2.34395	+	1.40027i
$973$	2.86624	+	10.6970i	0.0918874	+	0.342929i
$974$	32.7705	−	19.2471i	1.05003	−	0.616716i
$975$	56.8407	+	15.6234i	1.82036	+	0.500348i
$976$	16.4668	+	26.6540i	0.527090	+	0.853172i
$977$	18.9728	−	5.08374i	0.606993	−	0.162643i	0.0577849	−	0.998329i	$-0.481596\pi$
$977$	18.9728	−	5.08374i	0.606993	−	0.162643i	0.549208	+	0.835686i	$0.314930\pi$
$978$	−50.4529	+	0.375959i	−1.61331	+	0.0120218i
$979$	−4.57668	−	7.92704i	−0.146271	−	0.253349i
$980$	−5.62042	+	7.18893i	−0.179538	+	0.229642i
$981$	−6.32455	−	1.69466i	−0.201927	−	0.0541063i
$982$	8.58332	+	31.1044i	0.273905	+	0.992581i
$983$	−12.0112	−	12.0112i	−0.383099	−	0.383099i	0.489118	−	0.872217i	$-0.337319\pi$
$983$	−12.0112	−	12.0112i	−0.383099	−	0.383099i	−0.872217	+	0.489118i	$0.837319\pi$
$984$	37.8079	+	62.2299i	1.20527	+	1.98382i
$985$	36.0714	−	3.87229i	1.14933	−	0.123381i
$986$	−1.62362	+	1.64800i	−0.0517066	+	0.0524830i
$987$		−	61.2508i		−	1.94963i
$988$	−2.43315	−	7.38726i	−0.0774089	−	0.235020i
$989$	2.00161			0.0636476
$990$	10.5759	−	71.2262i	0.336125	−	2.26372i
$991$	−50.2910	−	29.0355i	−1.59755	−	0.922344i	−0.991958	−	0.126565i	$-0.959605\pi$
$991$	−50.2910	−	29.0355i	−1.59755	−	0.922344i	−0.605588	−	0.795779i	$-0.707062\pi$
$992$	−52.6116	+	1.96109i	−1.67042	+	0.0622648i
$993$	38.7314	+	38.7314i	1.22910	+	1.22910i
$994$	−7.08221	+	1.95435i	−0.224634	+	0.0619882i
$995$	−15.2831	−	39.5510i	−0.484506	−	1.25385i
$996$	−53.3517	+	15.1512i	−1.69051	+	0.480085i
$997$	−4.06170	+	2.34502i	−0.128635	+	0.0742677i	−0.562937	−	0.826500i	$-0.690329\pi$
$997$	−4.06170	+	2.34502i	−0.128635	+	0.0742677i	0.434301	+	0.900768i	$0.356995\pi$
$998$	−42.9010	+	0.319684i	−1.35801	+	0.0101194i
$999$	−19.9007	−	74.2705i	−0.629631	−	2.34981i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bc.c.19.7	yes	144
4.3	odd	2	inner	260.2.bc.c.19.2	✓	144
5.4	even	2	inner	260.2.bc.c.19.30	yes	144
13.11	odd	12	inner	260.2.bc.c.219.35	yes	144
20.19	odd	2	inner	260.2.bc.c.19.35	yes	144
52.11	even	12	inner	260.2.bc.c.219.30	yes	144
65.24	odd	12	inner	260.2.bc.c.219.2	yes	144
260.219	even	12	inner	260.2.bc.c.219.7	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bc.c.19.2	✓	144	4.3	odd	2	inner
260.2.bc.c.19.7	yes	144	1.1	even	1	trivial
260.2.bc.c.19.30	yes	144	5.4	even	2	inner
260.2.bc.c.19.35	yes	144	20.19	odd	2	inner
260.2.bc.c.219.2	yes	144	65.24	odd	12	inner
260.2.bc.c.219.7	yes	144	260.219	even	12	inner
260.2.bc.c.219.30	yes	144	52.11	even	12	inner
260.2.bc.c.219.35	yes	144	13.11	odd	12	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.992521 + 1.00742i) q^{2} +(-1.63494 + 2.83181i) q^{3} +(-0.0298050 - 1.99978i) q^{4} +(-2.20931 - 0.344891i) q^{5} +(-1.23011 - 4.45771i) q^{6} +(0.576390 - 2.15112i) q^{7} +(2.04421 + 1.95479i) q^{8} +(-3.84608 - 6.66161i) q^{9} +O(q^{10})\)	\(q+(-0.992521 + 1.00742i) q^{2} +(-1.63494 + 2.83181i) q^{3} +(-0.0298050 - 1.99978i) q^{4} +(-2.20931 - 0.344891i) q^{5} +(-1.23011 - 4.45771i) q^{6} +(0.576390 - 2.15112i) q^{7} +(2.04421 + 1.95479i) q^{8} +(-3.84608 - 6.66161i) q^{9} +(2.54024 - 1.88340i) q^{10} +(0.766167 + 2.85937i) q^{11} +(5.71171 + 3.18512i) q^{12} +(-1.93070 - 3.04506i) q^{13} +(1.59501 + 2.71570i) q^{14} +(4.58876 - 5.69246i) q^{15} +(-3.99822 + 0.119207i) q^{16} +(0.194586 + 0.337033i) q^{17} +(10.5284 + 2.73715i) q^{18} +(-0.279153 + 1.04181i) q^{19} +(-0.623858 + 4.42841i) q^{20} +(5.14918 + 5.14918i) q^{21} +(-3.64104 - 2.06613i) q^{22} +(-0.575487 - 0.332258i) q^{23} +(-8.87776 + 2.59281i) q^{24} +(4.76210 + 1.52394i) q^{25} +(4.98393 + 1.07725i) q^{26} +15.3428 q^{27} +(-4.31894 - 1.08854i) q^{28} +(2.10171 - 3.64027i) q^{29} +(1.18027 + 10.2727i) q^{30} +(-6.58102 - 6.58102i) q^{31} +(3.84823 - 4.14622i) q^{32} +(-9.34982 - 2.50528i) q^{33} +(-0.532666 - 0.138482i) q^{34} +(-2.01533 + 4.55369i) q^{35} +(-13.2071 + 7.88986i) q^{36} +(-1.29707 - 4.84073i) q^{37} +(-0.772483 - 1.31525i) q^{38} +(11.7796 - 0.488878i) q^{39} +(-3.84209 - 5.02378i) q^{40} +(-2.03769 - 7.60477i) q^{41} +(-10.2981 + 0.0767379i) q^{42} +(-2.60859 + 1.50607i) q^{43} +(5.69527 - 1.61739i) q^{44} +(6.19965 + 16.0440i) q^{45} +(0.905907 - 0.249987i) q^{46} +(-5.94762 - 5.94762i) q^{47} +(6.19930 - 11.5171i) q^{48} +(1.76709 + 1.02023i) q^{49} +(-6.26174 + 3.28491i) q^{50} -1.27255 q^{51} +(-6.03190 + 3.95174i) q^{52} +4.86414i q^{53} +(-15.2281 + 15.4567i) q^{54} +(-0.706526 - 6.58148i) q^{55} +(5.38326 - 3.27060i) q^{56} +(-2.49382 - 2.49382i) q^{57} +(1.58130 + 5.73036i) q^{58} +(-6.54319 - 1.75324i) q^{59} +(-11.5204 - 9.00684i) q^{60} +(-3.91629 - 6.78321i) q^{61} +(13.1617 - 0.0980765i) q^{62} +(-16.5467 + 4.43369i) q^{63} +(0.357555 + 7.99201i) q^{64} +(3.21531 + 7.39336i) q^{65} +(11.8038 - 6.93269i) q^{66} +(-0.285434 - 1.06526i) q^{67} +(0.668192 - 0.399175i) q^{68} +(1.88178 - 1.08644i) q^{69} +(-2.58725 - 6.54992i) q^{70} +(-0.603762 + 2.25327i) q^{71} +(5.15989 - 21.1360i) q^{72} +(0.169748 - 0.169748i) q^{73} +(6.16403 + 3.49782i) q^{74} +(-12.1013 + 10.9938i) q^{75} +(2.09172 + 0.527194i) q^{76} +6.59246 q^{77} +(-11.1990 + 12.3523i) q^{78} +8.99751i q^{79} +(8.87443 + 1.11559i) q^{80} +(-13.5464 + 23.4631i) q^{81} +(9.68367 + 5.49507i) q^{82} +(-5.99671 + 5.99671i) q^{83} +(10.1437 - 10.4507i) q^{84} +(-0.313661 - 0.811722i) q^{85} +(1.07183 - 4.12276i) q^{86} +(6.87235 + 11.9033i) q^{87} +(-4.02328 + 7.34284i) q^{88} +(-2.98674 + 0.800295i) q^{89} +(-22.3164 - 9.67836i) q^{90} +(-7.66312 + 2.39803i) q^{91} +(-0.647289 + 1.16075i) q^{92} +(29.3958 - 7.87657i) q^{93} +(11.8949 - 0.0886371i) q^{94} +(0.976049 - 2.20541i) q^{95} +(5.44965 + 17.6763i) q^{96} +(2.80499 - 10.4684i) q^{97} +(-2.78168 + 0.767611i) q^{98} +(16.1013 - 16.1013i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9}+O(q^{10}) \) 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9	\( 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9} - 12 q^{10} - 32 q^{14} - 36 q^{16} + 18 q^{20} + 8 q^{21} - 28 q^{24} + 28 q^{26} - 6 q^{30} + 16 q^{34} + 24 q^{36} - 88 q^{40} - 72 q^{41} + 68 q^{45} + 64 q^{46} - 24 q^{49} - 34 q^{50} + 80 q^{54} + 96 q^{56} - 48 q^{60} - 8 q^{61} + 40 q^{66} - 24 q^{69} - 80 q^{70} - 24 q^{74} - 28 q^{76} - 92 q^{80} - 8 q^{81} + 84 q^{84} + 20 q^{85} - 52 q^{86} - 104 q^{89} - 52 q^{94} - 124 q^{96}+O(q^{100}) \) 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9 - 12 * q^10 - 32 * q^14 - 36 * q^16 + 18 * q^20 + 8 * q^21 - 28 * q^24 + 28 * q^26 - 6 * q^30 + 16 * q^34 + 24 * q^36 - 88 * q^40 - 72 * q^41 + 68 * q^45 + 64 * q^46 - 24 * q^49 - 34 * q^50 + 80 * q^54 + 96 * q^56 - 48 * q^60 - 8 * q^61 + 40 * q^66 - 24 * q^69 - 80 * q^70 - 24 * q^74 - 28 * q^76 - 92 * q^80 - 8 * q^81 + 84 * q^84 + 20 * q^85 - 52 * q^86 - 104 * q^89 - 52 * q^94 - 124 * q^96

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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