LMFDB - Embedded newform 280.2.bv.e.213.28

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(117,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))

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

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

chi := DirichletCharacter("280.117");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bv (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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$40$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			213.28
Character	$\chi$	$=$	280.213
Dual form			280.2.bv.e.117.28

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.667940 + 1.24654i) q^{2} +(-2.38009 + 0.637742i) q^{3} +(-1.10771 + 1.66523i) q^{4} +(2.06359 + 0.861163i) q^{5} +(-2.38472 - 2.54089i) q^{6} +(-1.15709 + 2.37932i) q^{7} +(-2.81565 - 0.268532i) q^{8} +(2.66002 - 1.53576i) q^{9} +O(q^{10})$	\(q+(0.667940 + 1.24654i) q^{2} +(-2.38009 + 0.637742i) q^{3} +(-1.10771 + 1.66523i) q^{4} +(2.06359 + 0.861163i) q^{5} +(-2.38472 - 2.54089i) q^{6} +(-1.15709 + 2.37932i) q^{7} +(-2.81565 - 0.268532i) q^{8} +(2.66002 - 1.53576i) q^{9} +(0.304883 + 3.14755i) q^{10} +(1.20225 + 0.694121i) q^{11} +(1.57446 - 4.66981i) q^{12} +(-4.02797 - 4.02797i) q^{13} +(-3.73877 + 0.146889i) q^{14} +(-5.46072 - 0.733603i) q^{15} +(-1.54595 - 3.68918i) q^{16} +(-1.42783 + 0.382586i) q^{17} +(3.69112 + 2.29001i) q^{18} +(-3.07003 + 1.77249i) q^{19} +(-3.71989 + 2.48242i) q^{20} +(1.23658 - 6.40090i) q^{21} +(-0.0622147 + 1.96229i) q^{22} +(-1.32633 + 4.94992i) q^{23} +(6.87275 - 1.15653i) q^{24} +(3.51680 + 3.55417i) q^{25} +(2.33057 - 7.71146i) q^{26} +(-0.124618 + 0.124618i) q^{27} +(-2.68038 - 4.56241i) q^{28} +7.04904 q^{29} +(-2.73297 - 7.29699i) q^{30} +(2.00882 + 1.15979i) q^{31} +(3.56610 - 4.39124i) q^{32} +(-3.30414 - 0.885341i) q^{33} +(-1.43061 - 1.52430i) q^{34} +(-4.43673 + 3.91349i) q^{35} +(-0.389142 + 6.13071i) q^{36} +(-2.11570 + 7.89589i) q^{37} +(-4.26007 - 2.64300i) q^{38} +(12.1557 + 7.01811i) q^{39} +(-5.57910 - 2.97887i) q^{40} +5.68145i q^{41} +(8.80492 - 2.73398i) q^{42} +(1.18345 - 1.18345i) q^{43} +(-2.48762 + 1.23314i) q^{44} +(6.81172 - 0.878473i) q^{45} +(-7.05617 + 1.65294i) q^{46} +(1.27344 - 4.75254i) q^{47} +(6.03224 + 7.79464i) q^{48} +(-4.32230 - 5.50615i) q^{49} +(-2.08140 + 6.75779i) q^{50} +(3.15437 - 1.82118i) q^{51} +(11.1693 - 2.24565i) q^{52} +(3.37762 + 12.6055i) q^{53} +(-0.238578 - 0.0721035i) q^{54} +(1.88321 + 2.46772i) q^{55} +(3.89688 - 6.38861i) q^{56} +(6.17656 - 6.17656i) q^{57} +(4.70834 + 8.78689i) q^{58} +(-4.56270 - 2.63428i) q^{59} +(7.27051 - 8.28071i) q^{60} +(5.71326 + 9.89566i) q^{61} +(-0.103953 + 3.27874i) q^{62} +(0.576192 + 8.10603i) q^{63} +(7.85578 + 1.51219i) q^{64} +(-4.84333 - 11.7808i) q^{65} +(-1.10336 - 4.71008i) q^{66} +(6.01940 - 1.61289i) q^{67} +(0.944532 - 2.80145i) q^{68} -12.6271i q^{69} +(-7.84179 - 2.91657i) q^{70} +1.25826 q^{71} +(-7.90208 + 3.60987i) q^{72} +(2.00883 + 7.49707i) q^{73} +(-11.2557 + 2.63669i) q^{74} +(-10.6369 - 6.21642i) q^{75} +(0.449125 - 7.07570i) q^{76} +(-3.04265 + 2.05738i) q^{77} +(-0.629039 + 19.8402i) q^{78} +(-1.75653 + 1.01413i) q^{79} +(-0.0132254 - 8.94426i) q^{80} +(-4.39016 + 7.60398i) q^{81} +(-7.08213 + 3.79487i) q^{82} +(-8.66195 - 8.66195i) q^{83} +(9.28917 + 9.14953i) q^{84} +(-3.27592 - 0.440094i) q^{85} +(2.26570 + 0.684743i) q^{86} +(-16.7773 + 4.49547i) q^{87} +(-3.19873 - 2.27725i) q^{88} +(-5.66173 - 9.80640i) q^{89} +(5.64487 + 7.90430i) q^{90} +(14.2445 - 4.92310i) q^{91} +(-6.77355 - 7.69172i) q^{92} +(-5.52082 - 1.47930i) q^{93} +(6.77481 - 1.58703i) q^{94} +(-7.86169 + 1.01388i) q^{95} +(-5.68714 + 12.7258i) q^{96} +(1.47719 + 1.47719i) q^{97} +(3.97659 - 9.06569i) q^{98} +4.26402 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.667940	+	1.24654i	0.472305	+	0.881435i
$2$	0.667940	+	1.24654i	0.472305	+	0.881435i
$3$	−2.38009	+	0.637742i	−1.37414	+	0.368201i	−0.868990	−	0.494829i	$-0.835231\pi$
$3$	−2.38009	+	0.637742i	−1.37414	+	0.368201i	−0.505153	+	0.863030i	$0.668564\pi$
$4$	−1.10771	+	1.66523i	−0.553856	+	0.832613i
$5$	2.06359	+	0.861163i	0.922865	+	0.385124i
$5$	2.06359	+	0.861163i	0.922865	+	0.385124i
$6$	−2.38472	−	2.54089i	−0.973560	−	1.03731i
$7$	−1.15709	+	2.37932i	−0.437338	+	0.899297i
$7$	−1.15709	+	2.37932i	−0.437338	+	0.899297i
$8$	−2.81565	−	0.268532i	−0.995483	−	0.0949406i
$9$	2.66002	−	1.53576i	0.886672	−	0.511921i
$10$	0.304883	+	3.14755i	0.0964124	+	0.995341i
$11$	1.20225	+	0.694121i	0.362493	+	0.209285i	0.670174	−	0.742204i	$-0.266220\pi$
$11$	1.20225	+	0.694121i	0.362493	+	0.209285i	−0.307681	+	0.951490i	$0.599553\pi$
$12$	1.57446	−	4.66981i	0.454509	−	1.34806i
$13$	−4.02797	−	4.02797i	−1.11716	−	1.11716i	−0.992157	−	0.125001i	$-0.960107\pi$
$13$	−4.02797	−	4.02797i	−1.11716	−	1.11716i	−0.125001	−	0.992157i	$-0.539893\pi$
$14$	−3.73877	+	0.146889i	−0.999229	+	0.0392578i
$15$	−5.46072	−	0.733603i	−1.40995	−	0.189416i
$16$	−1.54595	−	3.68918i	−0.386488	−	0.922295i
$17$	−1.42783	+	0.382586i	−0.346300	+	0.0927908i	−0.427777	−	0.903884i	$-0.640703\pi$
$17$	−1.42783	+	0.382586i	−0.346300	+	0.0927908i	0.0814768	+	0.996675i	$0.474036\pi$
$18$	3.69112	+	2.29001i	0.870005	+	0.539761i
$19$	−3.07003	+	1.77249i	−0.704314	+	0.406636i	−0.808952	−	0.587874i	$-0.799965\pi$
$19$	−3.07003	+	1.77249i	−0.704314	+	0.406636i	0.104638	+	0.994510i	$0.466632\pi$
$20$	−3.71989	+	2.48242i	−0.831793	+	0.555086i
$21$	1.23658	−	6.40090i	0.269843	−	1.39679i
$22$	−0.0622147	+	1.96229i	−0.0132642	+	0.418361i
$23$	−1.32633	+	4.94992i	−0.276558	+	1.03213i	0.678231	+	0.734848i	$0.262747\pi$
$23$	−1.32633	+	4.94992i	−0.276558	+	1.03213i	−0.954790	+	0.297282i	$0.903920\pi$
$24$	6.87275	−	1.15653i	1.40289	−	0.236075i
$25$	3.51680	+	3.55417i	0.703360	+	0.710834i
$26$	2.33057	−	7.71146i	0.457063	−	1.51234i
$27$	−0.124618	+	0.124618i	−0.0239827	+	0.0239827i
$28$	−2.68038	−	4.56241i	−0.506544	−	0.862214i
$29$	7.04904			1.30897			0.654487	−	0.756074i	$-0.272885\pi$
$29$	7.04904			1.30897			0.654487	+	0.756074i	$0.272885\pi$
$30$	−2.73297	−	7.29699i	−0.498970	−	1.33224i
$31$	2.00882	+	1.15979i	0.360795	+	0.208305i	0.669429	−	0.742876i	$-0.266539\pi$
$31$	2.00882	+	1.15979i	0.360795	+	0.208305i	−0.308634	+	0.951181i	$0.599872\pi$
$32$	3.56610	−	4.39124i	0.630403	−	0.776268i
$33$	−3.30414	−	0.885341i	−0.575176	−	0.154118i
$34$	−1.43061	−	1.52430i	−0.245348	−	0.261415i
$35$	−4.43673	+	3.91349i	−0.749944	+	0.661501i
$36$	−0.389142	+	6.13071i	−0.0648570	+	1.02178i
$37$	−2.11570	+	7.89589i	−0.347818	+	1.29808i	0.541467	+	0.840722i	$0.317869\pi$
$37$	−2.11570	+	7.89589i	−0.347818	+	1.29808i	−0.889285	+	0.457354i	$0.848797\pi$
$38$	−4.26007	−	2.64300i	−0.691074	−	0.428751i
$39$	12.1557	+	7.01811i	1.94647	+	1.12380i
$40$	−5.57910	−	2.97887i	−0.882133	−	0.471001i
$41$			5.68145i			0.887293i	0.896202	+	0.443646i	$0.146315\pi$
$41$			5.68145i			0.887293i	−0.896202	+	0.443646i	$0.853685\pi$
$42$	8.80492	−	2.73398i	1.35863	−	0.421863i
$43$	1.18345	−	1.18345i	0.180475	−	0.180475i	−0.611088	−	0.791563i	$-0.709268\pi$
$43$	1.18345	−	1.18345i	0.180475	−	0.180475i	0.791563	+	0.611088i	$0.209268\pi$
$44$	−2.48762	+	1.23314i	−0.375023	+	0.185902i
$45$	6.81172	−	0.878473i	1.01543	−	0.130955i
$46$	−7.05617	+	1.65294i	−1.04038	+	0.243712i
$47$	1.27344	−	4.75254i	0.185750	−	0.693230i	−0.808718	−	0.588196i	$-0.799838\pi$
$47$	1.27344	−	4.75254i	0.185750	−	0.693230i	0.994469	−	0.105034i	$-0.0334950\pi$
$48$	6.03224	+	7.79464i	0.870679	+	1.12506i
$49$	−4.32230	−	5.50615i	−0.617471	−	0.786594i
$50$	−2.08140	+	6.75779i	−0.294354	+	0.955697i
$51$	3.15437	−	1.82118i	0.441700	−	0.255016i
$52$	11.1693	−	2.24565i	1.54890	−	0.311415i
$53$	3.37762	+	12.6055i	0.463952	+	1.73149i	0.660341	+	0.750966i	$0.270412\pi$
$53$	3.37762	+	12.6055i	0.463952	+	1.73149i	−0.196389	+	0.980526i	$0.562922\pi$
$54$	−0.238578	−	0.0721035i	−0.0324663	−	0.00981204i
$55$	1.88321	+	2.46772i	0.253931	+	0.332747i
$56$	3.89688	−	6.38861i	0.520742	−	0.853714i
$57$	6.17656	−	6.17656i	0.818105	−	0.818105i
$58$	4.70834	+	8.78689i	0.618235	+	1.15378i
$59$	−4.56270	−	2.63428i	−0.594013	−	0.342953i	0.172670	−	0.984980i	$-0.444761\pi$
$59$	−4.56270	−	2.63428i	−0.594013	−	0.342953i	−0.766683	+	0.642026i	$0.778094\pi$
$60$	7.27051	−	8.28071i	0.938619	−	1.06903i
$61$	5.71326	+	9.89566i	0.731509	+	1.26701i	0.956238	+	0.292589i	$0.0945167\pi$
$61$	5.71326	+	9.89566i	0.731509	+	1.26701i	−0.224730	+	0.974421i	$0.572150\pi$
$62$	−0.103953	+	3.27874i	−0.0132021	+	0.416401i
$63$	0.576192	+	8.10603i	0.0725933	+	1.02126i
$64$	7.85578	+	1.51219i	0.981973	+	0.189023i
$65$	−4.84333	−	11.7808i	−0.600742	−	1.46123i
$66$	−1.10336	−	4.71008i	−0.135814	−	0.579771i
$67$	6.01940	−	1.61289i	0.735386	−	0.197046i	0.128360	−	0.991728i	$-0.459029\pi$
$67$	6.01940	−	1.61289i	0.735386	−	0.197046i	0.607027	+	0.794681i	$0.292362\pi$
$68$	0.944532	−	2.80145i	0.114541	−	0.339726i
$69$		−	12.6271i		−	1.52012i
$70$	−7.84179	−	2.91657i	−0.937273	−	0.348597i
$71$	1.25826			0.149328			0.0746641	−	0.997209i	$-0.476212\pi$
$71$	1.25826			0.149328			0.0746641	+	0.997209i	$0.476212\pi$
$72$	−7.90208	+	3.60987i	−0.931269	+	0.425427i
$73$	2.00883	+	7.49707i	0.235116	+	0.877466i	0.978096	+	0.208152i	$0.0667449\pi$
$73$	2.00883	+	7.49707i	0.235116	+	0.877466i	−0.742980	+	0.669313i	$0.766588\pi$
$74$	−11.2557	+	2.63669i	−1.30845	+	0.306509i
$75$	−10.6369	−	6.21642i	−1.22825	−	0.717811i
$76$	0.449125	−	7.07570i	0.0515181	−	0.811639i
$77$	−3.04265	+	2.05738i	−0.346742	+	0.234461i
$78$	−0.629039	+	19.8402i	−0.0712246	+	2.24646i
$79$	−1.75653	+	1.01413i	−0.197625	+	0.114099i	−0.595547	−	0.803320i	$-0.703065\pi$
$79$	−1.75653	+	1.01413i	−0.197625	+	0.114099i	0.397922	+	0.917419i	$0.369731\pi$
$80$	−0.0132254	−	8.94426i	−0.00147864	−	0.999999i
$81$	−4.39016	+	7.60398i	−0.487795	+	0.844886i
$82$	−7.08213	+	3.79487i	−0.782091	+	0.419073i
$83$	−8.66195	−	8.66195i	−0.950772	−	0.950772i	0.0480715	−	0.998844i	$-0.484692\pi$
$83$	−8.66195	−	8.66195i	−0.950772	−	0.950772i	−0.998844	+	0.0480715i	$0.984692\pi$
$84$	9.28917	+	9.14953i	1.01353	+	0.998296i
$85$	−3.27592	−	0.440094i	−0.355324	−	0.0477349i
$86$	2.26570	+	0.684743i	0.244316	+	0.0738377i
$87$	−16.7773	+	4.49547i	−1.79872	+	0.481965i
$88$	−3.19873	−	2.27725i	−0.340986	−	0.242755i
$89$	−5.66173	−	9.80640i	−0.600142	−	1.03948i	−0.992799	−	0.119791i	$-0.961777\pi$
$89$	−5.66173	−	9.80640i	−0.600142	−	1.03948i	0.392657	−	0.919685i	$-0.371556\pi$
$90$	5.64487	+	7.90430i	0.595022	+	0.833186i
$91$	14.2445	−	4.92310i	1.49323	−	0.516081i
$92$	−6.77355	−	7.69172i	−0.706191	−	0.801917i
$93$	−5.52082	−	1.47930i	−0.572482	−	0.153396i
$94$	6.77481	−	1.58703i	0.698768	−	0.163689i
$95$	−7.86169	+	1.01388i	−0.806592	+	0.104022i
$96$	−5.68714	+	12.7258i	−0.580441	+	1.29882i
$97$	1.47719	+	1.47719i	0.149986	+	0.149986i	0.778112	−	0.628126i	$-0.216178\pi$
$97$	1.47719	+	1.47719i	0.149986	+	0.149986i	−0.628126	+	0.778112i	$0.716178\pi$
$98$	3.97659	−	9.06569i	0.401696	−	0.915773i
$99$	4.26402			0.428550
$100$	−9.81409	+	1.91927i	−0.981409	+	0.191927i
$101$	2.95761	−	5.12272i	0.294293	−	0.509730i	−0.680527	−	0.732723i	$-0.738249\pi$
$101$	2.95761	−	5.12272i	0.294293	−	0.509730i	0.974820	+	0.222993i	$0.0715826\pi$
$102$	4.37709	+	2.71560i	0.433397	+	0.268885i
$103$	17.2438	+	4.62047i	1.69908	+	0.455268i	0.972709	−	0.232030i	$-0.0745367\pi$
$103$	17.2438	+	4.62047i	1.69908	+	0.455268i	0.726375	+	0.687298i	$0.241203\pi$
$104$	10.2597	+	12.4230i	1.00605	+	1.21817i
$105$	8.06400	−	12.1439i	0.786966	−	1.18513i
$106$	−13.4571	+	12.6300i	−1.30707	+	1.22674i
$107$	−0.829014	+	3.09392i	−0.0801438	+	0.299101i	−0.994350	−	0.106148i	$-0.966148\pi$
$107$	−0.829014	+	3.09392i	−0.0801438	+	0.299101i	0.914207	+	0.405248i	$0.132815\pi$
$108$	−0.0694762	−	0.345557i	−0.00668535	−	0.0332513i
$109$	6.17012	−	10.6870i	0.590990	−	1.02362i	−0.403109	−	0.915152i	$-0.632071\pi$
$109$	6.17012	−	10.6870i	0.590990	−	1.02362i	0.994099	−	0.108473i	$-0.0345961\pi$
$110$	−1.81823	+	3.99577i	−0.173362	+	0.380982i
$111$		−	20.1422i		−	1.91181i
$112$	10.5665	+	0.590393i	0.998443	+	0.0557869i
$113$	−5.03703	−	5.03703i	−0.473844	−	0.473844i	0.429312	−	0.903156i	$-0.358756\pi$
$113$	−5.03703	−	5.03703i	−0.473844	−	0.473844i	−0.903156	+	0.429312i	$0.858756\pi$
$114$	11.8249	+	3.57374i	1.10750	+	0.334711i
$115$	−6.99968	+	9.07242i	−0.652724	+	0.846008i
$116$	−7.80830	+	11.7382i	−0.724982	+	1.08987i
$117$	−16.9005	−	4.52847i	−1.56245	−	0.418657i
$118$	0.236112	−	7.44711i	0.0217359	−	0.685562i
$119$	0.741831	−	3.83995i	0.0680035	−	0.352007i
$120$	15.1785	+	3.53195i	1.38560	+	0.322422i
$121$	−4.53639	−	7.85726i	−0.412399	−	0.714296i
$122$	−8.51920	+	13.7315i	−0.771292	+	1.24319i
$123$	−3.62330	−	13.5223i	−0.326702	−	1.21927i
$124$	−4.15651	+	2.06042i	−0.373266	+	0.185032i
$125$	4.19651	+	10.3629i	0.375347	+	0.926884i
$126$	−9.71961	+	6.13259i	−0.865892	+	0.546335i
$127$	7.50213	−	7.50213i	0.665706	−	0.665706i	−0.291013	−	0.956719i	$-0.593992\pi$
$127$	7.50213	−	7.50213i	0.665706	−	0.665706i	0.956719	+	0.291013i	$0.0939923\pi$
$128$	3.36219	+	10.8026i	0.297179	+	0.954822i
$129$	−2.06198	+	3.57146i	−0.181547	+	0.314449i
$130$	11.4502	−	13.9063i	1.00425	−	1.21966i
$131$	−0.731635	−	1.26723i	−0.0639232	−	0.110718i	0.832293	−	0.554337i	$-0.187028\pi$
$131$	−0.731635	−	1.26723i	−0.0639232	−	0.110718i	−0.896216	+	0.443618i	$0.853695\pi$
$132$	5.13432	−	4.52143i	0.446885	−	0.393540i
$133$	−0.665006	−	9.35550i	−0.0576634	−	0.811225i
$134$	6.03113	+	6.42609i	0.521010	+	0.555129i
$135$	−0.364476	+	0.149844i	−0.0313691	+	0.0128965i
$136$	4.12301	−	0.693810i	0.353545	−	0.0594937i
$137$	−2.40480	−	8.97485i	−0.205456	−	0.766774i	−0.989310	−	0.145828i	$-0.953415\pi$
$137$	−2.40480	−	8.97485i	−0.205456	−	0.766774i	0.783854	−	0.620946i	$-0.213251\pi$
$138$	15.7401	−	8.43415i	1.33989	−	0.717962i
$139$			13.4457i			1.14045i	0.821488	+	0.570226i	$0.193144\pi$
$139$			13.4457i			1.14045i	−0.821488	+	0.570226i	$0.806856\pi$
$140$	−1.60223	−	11.7232i	−0.135413	−	0.990789i
$141$			12.1236i			1.02099i
$142$	0.840444	+	1.56847i	0.0705285	+	0.131623i
$143$	−2.04674	−	7.63854i	−0.171157	−	0.638767i
$144$	−9.77795	−	7.43906i	−0.814830	−	0.619922i
$145$	14.5463	+	6.07037i	1.20801	+	0.504117i
$146$	−8.00360	+	7.51168i	−0.662382	+	0.621671i
$147$	13.7989	+	10.3486i	1.13812	+	0.853539i
$148$	−10.8048	−	12.2695i	−0.888153	−	1.00854i
$149$	0.809965	+	1.40290i	0.0663549	+	0.114930i	0.897294	−	0.441433i	$-0.145530\pi$
$149$	0.809965	+	1.40290i	0.0663549	+	0.114930i	−0.830939	+	0.556363i	$0.812196\pi$
$150$	0.644171	−	17.4115i	0.0525963	−	1.42165i
$151$	2.66351	−	4.61333i	0.216753	−	0.375427i	−0.737060	−	0.675827i	$-0.763787\pi$
$151$	2.66351	−	4.61333i	0.216753	−	0.375427i	0.953813	+	0.300400i	$0.0971200\pi$
$152$	9.12012	−	4.16630i	0.739739	−	0.337931i
$153$	−3.21049	+	3.21049i	−0.259553	+	0.259553i
$154$	−4.59691	−	2.41856i	−0.370430	−	0.194893i
$155$	3.14661	+	4.12326i	0.252742	+	0.331188i
$156$	−25.1517	+	12.4680i	−2.01375	+	0.998236i
$157$	1.23351	+	4.60352i	0.0984447	+	0.367401i	0.997519	−	0.0703951i	$-0.0224260\pi$
$157$	1.23351	+	4.60352i	0.0984447	+	0.367401i	−0.899075	+	0.437796i	$0.855759\pi$
$158$	−2.43741	−	1.51220i	−0.193910	−	0.120304i
$159$	−16.0781	−	27.8480i	−1.27507	−	2.20849i
$160$	11.1405	−	5.99072i	0.880736	−	0.473608i
$161$	−10.2428	−	8.88325i	−0.807242	−	0.700098i
$162$	−12.4110	−	0.393494i	−0.975101	−	0.0309158i
$163$	−0.309084	−	0.0828189i	−0.0242094	−	0.00648688i	0.246694	−	0.969093i	$-0.420656\pi$
$163$	−0.309084	−	0.0828189i	−0.0242094	−	0.00648688i	−0.270903	+	0.962607i	$0.587322\pi$
$164$	−9.46089	−	6.29340i	−0.738771	−	0.491432i
$165$	−6.05596	−	4.67238i	−0.471456	−	0.363744i
$166$	5.01178	−	16.5831i	0.388989	−	1.28710i
$167$	9.66144	+	9.66144i	0.747624	+	0.747624i	0.974033	−	0.226408i	$-0.0726983\pi$
$167$	9.66144	+	9.66144i	0.747624	+	0.747624i	−0.226408	+	0.974033i	$0.572698\pi$
$168$	−5.20062	+	17.6906i	−0.401236	+	1.36486i
$169$			19.4491i			1.49608i
$170$	−1.63953	−	4.37752i	−0.125746	−	0.335740i
$171$	−5.44423	+	9.42968i	−0.416331	+	0.721106i
$172$	0.659792	+	3.28164i	0.0503087	+	0.250223i
$173$	−1.40784	+	5.25413i	−0.107036	+	0.399464i	−0.998568	−	0.0534935i	$-0.982964\pi$
$173$	−1.40784	+	5.25413i	−0.107036	+	0.399464i	0.891532	+	0.452957i	$0.149631\pi$
$174$	−16.8100	−	17.9108i	−1.27436	−	1.35782i
$175$	−12.5257	+	4.25509i	−0.946857	+	0.321655i
$176$	0.702112	−	5.50840i	0.0529237	−	0.415212i
$177$	12.5396	+	3.35998i	0.942534	+	0.252551i
$178$	8.44235	−	13.6076i	0.632781	−	1.01994i
$179$	−4.59723	+	7.96263i	−0.343613	+	0.595155i	−0.985101	−	0.171978i	$-0.944984\pi$
$179$	−4.59723	+	7.96263i	−0.343613	+	0.595155i	0.641488	+	0.767133i	$0.278317\pi$
$180$	−6.08257	+	12.3161i	−0.453368	+	0.917991i
$181$	2.67648			0.198941			0.0994705	−	0.995041i	$-0.468285\pi$
$181$	2.67648			0.198941			0.0994705	+	0.995041i	$0.468285\pi$
$182$	15.6513	+	14.4680i	1.16015	+	1.07244i
$183$	−19.9089	−	19.9089i	−1.47171	−	1.47171i
$184$	5.06369	−	13.5811i	0.373300	−	1.00121i
$185$	−11.1656	+	14.4719i	−0.820909	+	1.06400i
$186$	−1.84358	−	7.86999i	−0.135178	−	0.577056i
$187$	−1.98218	−	0.531122i	−0.144951	−	0.0388395i
$188$	6.50345	+	7.38501i	0.474313	+	0.538607i
$189$	−0.152312	−	0.440699i	−0.0110790	−	0.0320561i
$190$	−6.51498	−	9.12267i	−0.472646	−	0.661828i
$191$	6.57533	+	11.3888i	0.475774	+	0.824065i	0.999615	−	0.0277514i	$-0.00883469\pi$
$191$	6.57533	+	11.3888i	0.475774	+	0.824065i	−0.523841	+	0.851816i	$0.675501\pi$
$192$	−19.6618	+	1.41083i	−1.41897	+	0.101818i
$193$	22.6452	−	6.06777i	1.63004	−	0.436767i	0.676109	−	0.736801i	$-0.263665\pi$
$193$	22.6452	−	6.06777i	1.63004	−	0.436767i	0.953928	+	0.300034i	$0.0969981\pi$
$194$	−0.854700	+	2.82805i	−0.0613638	+	0.203042i
$195$	19.0407	+	24.9505i	1.36353	+	1.78674i
$196$	13.9568	−	1.09837i	0.996918	−	0.0784550i
$197$	−14.8523	−	14.8523i	−1.05818	−	1.05818i	−0.998199	−	0.0599850i	$-0.980895\pi$
$197$	−14.8523	−	14.8523i	−1.05818	−	1.05818i	−0.0599850	−	0.998199i	$-0.519105\pi$
$198$	2.84811	+	5.31526i	0.202406	+	0.377739i
$199$	−12.7127	+	22.0190i	−0.901179	+	1.56089i	−0.0752128	+	0.997168i	$0.523964\pi$
$199$	−12.7127	+	22.0190i	−0.901179	+	1.56089i	−0.825966	+	0.563720i	$0.809370\pi$
$200$	−8.94767	−	10.9517i	−0.632695	−	0.774401i
$201$	−13.2981	+	7.67765i	−0.937974	+	0.541539i
$202$	8.36117	+	0.265093i	0.588290	+	0.0186519i
$203$	−8.15635	+	16.7719i	−0.572464	+	1.17716i
$204$	−0.461462	+	7.27007i	−0.0323088	+	0.509007i
$205$	−4.89265	+	11.7242i	−0.341717	+	0.818851i
$206$	5.75826	+	24.5813i	0.401197	+	1.71266i
$207$	4.07385	+	15.2038i	0.283152	+	1.05674i
$208$	−8.63285	+	21.0869i	−0.598580	+	1.46212i
$209$	−4.92128			−0.340412
$210$	20.5241	+	1.94066i	1.41630	+	0.133918i
$211$		−	23.7027i		−	1.63176i	−0.578221	−	0.815880i	$-0.696253\pi$
$211$		−	23.7027i		−	1.63176i	0.578221	−	0.815880i	$-0.303747\pi$
$212$	−24.7323	−	8.33870i	−1.69862	−	0.572704i
$213$	−2.99477	+	0.802447i	−0.205198	+	0.0549827i
$214$	−4.41042	+	1.03316i	−0.301490	+	0.0706252i
$215$	3.46131	−	1.42302i	0.236059	−	0.0970489i
$216$	0.384344	−	0.317416i	0.0261513	−	0.0215974i
$217$	−5.08390	+	3.43764i	−0.345118	+	0.233362i
$218$	17.4430	+	0.553033i	1.18139	+	0.0374561i
$219$	−9.56239	−	16.5625i	−0.646167	−	1.11919i
$220$	−6.19535	+	0.402444i	−0.417691	+	0.0271327i
$221$	7.29230	+	4.21021i	0.490533	+	0.283210i
$222$	25.1080	−	13.4538i	1.68514	−	0.902957i
$223$	10.7617	−	10.7617i	0.720655	−	0.720655i	−0.248083	−	0.968739i	$-0.579801\pi$
$223$	10.7617	−	10.7617i	0.720655	−	0.720655i	0.968739	+	0.248083i	$0.0798007\pi$
$224$	6.32186	+	13.5659i	0.422397	+	0.906411i
$225$	14.8131	+	4.05319i	0.987540	+	0.270213i
$226$	2.91441	−	9.64329i	0.193864	−	0.641462i
$227$	−0.948100	−	3.53836i	−0.0629276	−	0.234849i	0.927298	−	0.374324i	$-0.122125\pi$
$227$	−0.948100	−	3.53836i	−0.0629276	−	0.234849i	−0.990226	+	0.139475i	$0.955459\pi$
$228$	3.44352	+	17.1272i	0.228052	+	1.13428i
$229$	−2.69688	+	1.55705i	−0.178215	+	0.102893i	−0.586454	−	0.809983i	$-0.699476\pi$
$229$	−2.69688	+	1.55705i	−0.178215	+	0.102893i	0.408239	+	0.912875i	$0.366143\pi$
$230$	−15.9845	−	2.66553i	−1.05399	−	0.175760i
$231$	5.92968	−	6.83717i	0.390144	−	0.449853i
$232$	−19.8476	−	1.89290i	−1.30306	−	0.124275i
$233$	4.18810	−	15.6302i	0.274371	−	1.02397i	−0.681890	−	0.731455i	$-0.738842\pi$
$233$	4.18810	−	15.6302i	0.274371	−	1.02397i	0.956261	−	0.292513i	$-0.0944915\pi$
$234$	−5.64360	−	24.0918i	−0.368934	−	1.57493i
$235$	6.72057	−	8.71066i	0.438402	−	0.568221i
$236$	9.44081	−	4.67990i	0.614545	−	0.304636i
$237$	3.53394	−	3.53394i	0.229554	−	0.229554i
$238$	5.28214	−	1.64014i	0.342390	−	0.106314i
$239$		−	19.8498i		−	1.28398i	−0.766713	−	0.641990i	$-0.778109\pi$
$239$		−	19.8498i		−	1.28398i	0.766713	−	0.641990i	$-0.221891\pi$
$240$	5.73561	+	21.2797i	0.370232	+	1.37360i
$241$	9.02785	+	5.21223i	0.581535	+	0.335749i	0.761743	−	0.647879i	$-0.224344\pi$
$241$	9.02785	+	5.21223i	0.581535	+	0.335749i	−0.180208	+	0.983628i	$0.557677\pi$
$242$	6.76433	−	10.9030i	0.434828	−	0.700869i
$243$	5.73642	−	21.4086i	0.367991	−	1.37336i
$244$	−22.8072	−	1.44767i	−1.46008	−	0.0926774i
$245$	−4.17775	−	15.0846i	−0.266907	−	0.963722i
$246$	14.4359	−	13.5487i	0.920402	−	0.863832i
$247$	19.5055	+	5.22649i	1.24111	+	0.332553i
$248$	−5.34470	−	3.80501i	−0.339389	−	0.241618i
$249$	26.1403	+	15.0921i	1.65657	+	0.956422i
$250$	−10.1147	+	12.1529i	−0.639710	+	0.768616i
$251$	2.23388			0.141001			0.0705006	−	0.997512i	$-0.477540\pi$
$251$	2.23388			0.141001			0.0705006	+	0.997512i	$0.477540\pi$
$252$	−14.1366	−	8.01966i	−0.890524	−	0.505191i
$253$	−5.03043	+	5.03043i	−0.316260	+	0.316260i
$254$	14.3627	+	4.34071i	0.901193	+	0.272360i
$255$	8.07765	−	1.04173i	0.505842	−	0.0652359i
$256$	−11.2201	+	11.4066i	−0.701254	+	0.712911i
$257$	−1.16610	+	4.35195i	−0.0727393	+	0.271467i	−0.992711	−	0.120517i	$-0.961545\pi$
$257$	−1.16610	+	4.35195i	−0.0727393	+	0.271467i	0.919972	+	0.391984i	$0.128211\pi$
$258$	−5.82924	−	0.184817i	−0.362913	−	0.0115062i
$259$	−16.3388	−	14.1701i	−1.01524	−	0.880490i
$260$	24.9827	+	4.98449i	1.54936	+	0.309125i
$261$	18.7506	−	10.8256i	1.16063	−	0.670090i
$262$	1.09096	−	1.75844i	0.0673997	−	0.108637i
$263$	−6.78061	+	1.81686i	−0.418110	+	0.112032i	−0.461740	−	0.887015i	$-0.652775\pi$
$263$	−6.78061	+	1.81686i	−0.418110	+	0.112032i	0.0436295	+	0.999048i	$0.486108\pi$
$264$	9.06555	+	3.38008i	0.557946	+	0.208029i
$265$	−3.88532	+	28.9211i	−0.238673	+	1.77661i
$266$	11.2178	−	7.07787i	0.687808	−	0.433972i
$267$	19.7293	+	19.7293i	1.20742	+	1.20742i
$268$	−3.98193	+	11.8103i	−0.243235	+	0.721427i
$269$	7.24489	+	4.18284i	0.441729	+	0.255032i	0.704331	−	0.709872i	$-0.251247\pi$
$269$	7.24489	+	4.18284i	0.441729	+	0.255032i	−0.262602	+	0.964904i	$0.584581\pi$
$270$	−0.430234	−	0.354246i	−0.0261832	−	0.0215587i
$271$	−10.4842	+	6.05308i	−0.636872	+	0.367698i	−0.783409	−	0.621507i	$-0.786521\pi$
$271$	−10.4842	+	6.05308i	−0.636872	+	0.367698i	0.146536	+	0.989205i	$0.453187\pi$
$272$	3.61878	+	4.67606i	0.219421	+	0.283528i
$273$	−30.7635	+	20.8017i	−1.86189	+	1.25898i
$274$	9.58123	−	8.99235i	0.578823	−	0.543248i
$275$	1.76106	+	6.71410i	0.106196	+	0.404875i
$276$	21.0270	+	13.9872i	1.26567	+	0.841929i
$277$	−12.1303	+	3.25031i	−0.728841	+	0.195292i	−0.604113	−	0.796899i	$-0.706472\pi$
$277$	−12.1303	+	3.25031i	−0.728841	+	0.195292i	−0.124728	+	0.992191i	$0.539806\pi$
$278$	−16.7606	+	8.98094i	−1.00523	+	0.538641i
$279$	7.12467			0.426543
$280$	13.5432	−	9.82762i	0.809360	−	0.587313i
$281$	5.84118			0.348455			0.174228	−	0.984705i	$-0.444257\pi$
$281$	5.84118			0.348455			0.174228	+	0.984705i	$0.444257\pi$
$282$	−15.1125	+	8.09784i	−0.899937	+	0.482219i
$283$	28.4756	−	7.63000i	1.69270	−	0.453557i	0.721613	−	0.692297i	$-0.243401\pi$
$283$	28.4756	−	7.63000i	1.69270	−	0.453557i	0.971083	+	0.238740i	$0.0767344\pi$
$284$	−1.39379	+	2.09529i	−0.0827063	+	0.124333i
$285$	18.0649	−	7.42685i	1.07007	−	0.439929i
$286$	8.15462	−	7.65342i	0.482193	−	0.452557i
$287$	−13.5180	−	6.57393i	−0.797940	−	0.388047i
$288$	2.74198	−	17.1574i	0.161573	−	1.01101i
$289$	−12.8301	+	7.40746i	−0.754712	+	0.435733i
$290$	2.14913	+	22.1872i	0.126201	+	1.30288i
$291$	−4.45791	−	2.57378i	−0.261328	−	0.150878i
$292$	−14.7095	−	4.95943i	−0.860809	−	0.290229i
$293$	−9.73946	−	9.73946i	−0.568985	−	0.568985i	0.362859	−	0.931844i	$-0.381801\pi$
$293$	−9.73946	−	9.73946i	−0.568985	−	0.568985i	−0.931844	+	0.362859i	$0.881801\pi$
$294$	−3.68306	+	24.1132i	−0.214800	+	1.40631i
$295$	−7.14699	−	9.36529i	−0.416114	−	0.545268i
$296$	8.07736	−	21.6639i	0.469487	−	1.25919i
$297$	−0.236322	+	0.0633223i	−0.0137128	+	0.00367433i
$298$	−1.20776	+	1.94671i	−0.0699637	+	0.112770i
$299$	25.2805	−	14.5957i	1.46201	−	0.844093i
$300$	22.1344	−	10.8269i	1.27793	−	0.625090i
$301$	1.44645	+	4.18517i	0.0833721	+	0.241229i
$302$	7.52975	+	0.238732i	0.433288	+	0.0137375i
$303$	−3.77238	+	14.0787i	−0.216718	+	0.808801i
$304$	11.2851	+	8.58573i	0.647247	+	0.492425i
$305$	3.26805	+	25.3406i	0.187128	+	1.45100i
$306$	−6.14642	−	1.85758i	−0.351367	−	0.106191i
$307$	20.0939	−	20.0939i	1.14682	−	1.14682i	0.159645	−	0.987174i	$-0.448965\pi$
$307$	20.0939	−	20.0939i	1.14682	−	1.14682i	0.987174	−	0.159645i	$-0.0510350\pi$
$308$	−0.0556320	−	7.34568i	−0.00316993	−	0.418559i
$309$	−43.9884			−2.50241
$310$	−3.03805	+	6.67646i	−0.172550	+	0.379197i
$311$	19.9150	+	11.4979i	1.12927	+	0.651987i	0.943752	−	0.330653i	$-0.107269\pi$
$311$	19.9150	+	11.4979i	1.12927	+	0.651987i	0.185522	+	0.982640i	$0.440602\pi$
$312$	−32.3417	−	23.0247i	−1.83099	−	1.30352i
$313$	−10.3815	−	2.78172i	−0.586798	−	0.157232i	−0.0468085	−	0.998904i	$-0.514905\pi$
$313$	−10.3815	−	2.78172i	−0.586798	−	0.157232i	−0.539989	+	0.841672i	$0.681572\pi$
$314$	−4.91454	+	4.61249i	−0.277344	+	0.260298i
$315$	−5.79159	+	17.2237i	−0.326319	+	0.970446i
$316$	0.256968	−	4.04839i	0.0144556	−	0.227740i
$317$	3.27959	−	12.2396i	0.184200	−	0.687445i	−0.810600	−	0.585600i	$-0.800859\pi$
$317$	3.27959	−	12.2396i	0.184200	−	0.687445i	0.994800	−	0.101845i	$-0.0324744\pi$
$318$	23.9744	−	38.6427i	1.34442	−	2.16697i
$319$	8.47473	+	4.89289i	0.474494	+	0.273949i
$320$	14.9089	+	9.88564i	0.833431	+	0.552624i
$321$		−	7.89250i		−	0.440516i
$322$	4.23175	−	18.7015i	0.235826	−	1.04219i
$323$	3.70536	−	3.70536i	0.206172	−	0.206172i
$324$	−7.79931	−	15.7336i	−0.433295	−	0.874090i
$325$	0.150537	−	28.4816i	0.00835029	−	1.57988i
$326$	−0.103213	−	0.440604i	−0.00571644	−	0.0244028i
$327$	−7.86989	+	29.3708i	−0.435206	+	1.62421i
$328$	1.52565	−	15.9970i	0.0842401	−	0.883285i
$329$	9.83433	+	8.52903i	0.542184	+	0.470221i
$330$	1.77928	−	10.6698i	0.0979459	−	0.587356i
$331$	−9.61375	+	5.55050i	−0.528419	+	0.305083i	−0.740373	−	0.672197i	$-0.765351\pi$
$331$	−9.61375	+	5.55050i	−0.528419	+	0.305083i	0.211953	+	0.977280i	$0.432018\pi$
$332$	24.0190	−	4.82916i	1.31822	−	0.265034i
$333$	6.49841	+	24.2524i	0.356111	+	1.32902i
$334$	−5.59008	+	18.4966i	−0.305876	+	1.01209i
$335$	13.8105	+	1.85533i	0.754550	+	0.101368i
$336$	−25.5258	+	5.33353i	−1.39254	+	0.290968i
$337$	2.86476	−	2.86476i	0.156053	−	0.156053i	−0.624762	−	0.780815i	$-0.714804\pi$
$337$	2.86476	−	2.86476i	0.156053	−	0.156053i	0.780815	+	0.624762i	$0.214804\pi$
$338$	−24.2440	+	12.9908i	−1.31870	+	0.706607i
$339$	15.2009	+	8.77625i	0.825600	+	0.476660i
$340$	4.36163	−	4.96766i	0.236543	−	0.269409i
$341$	1.61008	+	2.78873i	0.0871905	+	0.151018i
$342$	−15.3909	−	0.487971i	−0.832243	−	0.0263864i
$343$	18.1022	−	3.91302i	0.977425	−	0.211283i
$344$	−3.64999	+	3.01440i	−0.196794	+	0.162525i
$345$	10.8740	−	26.0571i	0.585435	−	1.40287i
$346$	−7.48982	+	1.75452i	−0.402655	+	0.0943235i
$347$	−25.5472	+	6.84535i	−1.37144	+	0.367478i	−0.868006	−	0.496553i	$-0.834599\pi$
$347$	−25.5472	+	6.84535i	−1.37144	+	0.367478i	−0.503439	+	0.864031i	$0.667932\pi$
$348$	11.0985	−	32.9177i	0.594940	−	1.76457i
$349$			4.53504i			0.242755i	0.992606	+	0.121377i	$0.0387312\pi$
$349$			4.53504i			0.242755i	−0.992606	+	0.121377i	$0.961269\pi$
$350$	−13.6706	−	12.7717i	−0.730723	−	0.682674i
$351$	1.00391			0.0535849
$352$	7.33540	−	2.80408i	0.390978	−	0.149458i
$353$	−8.50350	−	31.7355i	−0.452596	−	1.68911i	−0.695061	−	0.718950i	$-0.744623\pi$
$353$	−8.50350	−	31.7355i	−0.452596	−	1.68911i	0.242466	−	0.970160i	$-0.422044\pi$
$354$	4.18737	+	17.8753i	0.222556	+	0.950064i
$355$	2.59654	+	1.08357i	0.137810	+	0.0575098i
$356$	22.6014	+	1.43461i	1.19787	+	0.0760341i
$357$	0.683274	+	9.61250i	0.0361627	+	0.508747i
$358$	−12.9964	−	0.412053i	−0.686880	−	0.0217777i
$359$	−6.85433	+	3.95735i	−0.361758	+	0.208861i	−0.669852	−	0.742495i	$-0.733642\pi$
$359$	−6.85433	+	3.95735i	−0.361758	+	0.208861i	0.308094	+	0.951356i	$0.400309\pi$
$360$	−19.4153	+	0.644306i	−1.02328	+	0.0339579i
$361$	−3.21659	+	5.57130i	−0.169294	+	0.293226i
$362$	1.78773	+	3.33633i	0.0939609	+	0.175354i
$363$	15.8079	+	15.8079i	0.829700	+	0.829700i
$364$	−7.58075	+	29.1737i	−0.397339	+	1.52912i
$365$	−2.31079	+	17.2008i	−0.120952	+	0.900331i
$366$	11.5193	−	38.1152i	0.602121	−	1.99231i
$367$	−2.09277	+	0.560757i	−0.109242	+	0.0292713i	−0.313026	−	0.949745i	$-0.601343\pi$
$367$	−2.09277	+	0.560757i	−0.109242	+	0.0292713i	0.203784	+	0.979016i	$0.434676\pi$
$368$	20.3116	−	2.75928i	1.05881	−	0.143837i
$369$	8.72534	+	15.1127i	0.454223	+	0.786738i
$370$	−25.4977	−	4.25193i	−1.32556	−	0.221047i
$371$	−33.9006	−	6.54918i	−1.76003	−	0.340016i
$372$	8.57884	−	7.55477i	0.444792	−	0.391697i
$373$	15.9270	+	4.26762i	0.824667	+	0.220969i	0.646386	−	0.763011i	$-0.276280\pi$
$373$	15.9270	+	4.26762i	0.824667	+	0.220969i	0.178281	+	0.983980i	$0.442946\pi$
$374$	−0.661911	−	2.82561i	−0.0342266	−	0.146109i
$375$	−16.5969	−	21.9883i	−0.857060	−	1.13547i
$376$	−4.86178	+	13.0395i	−0.250727	+	0.672463i
$377$	−28.3933	−	28.3933i	−1.46233	−	1.46233i
$378$	0.447613	−	0.484223i	0.0230227	−	0.0249057i
$379$	4.18328			0.214881			0.107440	−	0.994212i	$-0.465735\pi$
$379$	4.18328			0.214881			0.107440	+	0.994212i	$0.465735\pi$
$380$	7.02014	−	14.2146i	0.360125	−	0.729192i
$381$	−13.0713	+	22.6401i	−0.669662	+	1.15989i
$382$	−9.80464	+	15.8034i	−0.501649	+	0.808574i
$383$	11.2681	+	3.01927i	0.575772	+	0.154278i	0.534942	−	0.844889i	$-0.320333\pi$
$383$	11.2681	+	3.01927i	0.575772	+	0.154278i	0.0408293	+	0.999166i	$0.487000\pi$
$384$	−14.8916	−	23.5668i	−0.759932	−	1.20264i
$385$	−8.05051	+	1.62538i	−0.410292	+	0.0828370i
$386$	22.6893	+	24.1752i	1.15486	+	1.23049i
$387$	1.33050	−	4.96551i	0.0676333	−	0.252411i
$388$	−4.09616	+	0.823556i	−0.207951	+	0.0418097i
$389$	−0.761596	+	1.31912i	−0.0386145	+	0.0668822i	−0.884687	−	0.466186i	$-0.845628\pi$
$389$	−0.761596	+	1.31912i	−0.0386145	+	0.0668822i	0.846072	+	0.533068i	$0.178961\pi$
$390$	−18.3837	+	40.4004i	−0.930897	+	2.04575i
$391$		−	7.57509i		−	0.383089i
$392$	10.6915	+	16.6641i	0.540002	+	0.841663i
$393$	2.54952	+	2.54952i	0.128606	+	0.128606i
$394$	8.59351	−	28.4344i	0.432935	−	1.43251i
$395$	−4.49809	+	0.580096i	−0.226323	+	0.0291878i
$396$	−4.72330	+	7.10055i	−0.237355	+	0.356816i
$397$	−5.91558	−	1.58508i	−0.296895	−	0.0795527i	0.107297	−	0.994227i	$-0.465780\pi$
$397$	−5.91558	−	1.58508i	−0.296895	−	0.0795527i	−0.404192	+	0.914674i	$0.632447\pi$
$398$	−35.9389	−	1.13945i	−1.80145	−	0.0571154i
$399$	7.54917	+	21.8428i	0.377931	+	1.09351i
$400$	7.67517	−	18.4687i	0.383759	−	0.923433i
$401$	16.5107	+	28.5974i	0.824505	+	1.42808i	0.902297	+	0.431115i	$0.141880\pi$
$401$	16.5107	+	28.5974i	0.824505	+	1.42808i	−0.0777917	+	0.996970i	$0.524787\pi$
$402$	−18.4528	−	11.4483i	−0.920342	−	0.570991i
$403$	−3.41986	−	12.7631i	−0.170355	−	0.635774i
$404$	5.25432	+	10.5996i	0.261412	+	0.527349i
$405$	−15.6077	+	11.9108i	−0.775555	+	0.591854i
$406$	−26.3547	+	1.03543i	−1.30796	+	0.0513874i
$407$	−8.02431	+	8.02431i	−0.397750	+	0.397750i
$408$	−9.37064	+	4.28074i	−0.463916	+	0.211928i
$409$	9.50927	−	16.4705i	0.470203	−	0.814415i	−0.529216	−	0.848487i	$-0.677514\pi$
$409$	9.50927	−	16.4705i	0.470203	−	0.814415i	0.999419	+	0.0340715i	$0.0108474\pi$
$410$	−17.8826	+	1.73218i	−0.883159	+	0.0855460i
$411$	11.4473	+	19.8273i	0.564653	+	0.978007i
$412$	−26.7953	+	23.5967i	−1.32011	+	1.16253i
$413$	11.5472	−	7.80802i	0.568201	−	0.384207i
$414$	−16.2310	+	15.2334i	−0.797711	+	0.748682i
$415$	−10.4154	−	25.3340i	−0.511270	−	1.24360i
$416$	−32.0519	+	3.32364i	−1.57147	+	0.162955i
$417$	−8.57490	−	32.0020i	−0.419915	−	1.56714i
$418$	−3.28712	−	6.13456i	−0.160778	−	0.300051i
$419$			4.77659i			0.233352i	0.993170	+	0.116676i	$0.0372239\pi$
$419$			4.77659i			0.233352i	−0.993170	+	0.116676i	$0.962776\pi$
$420$	11.2898	+	26.8804i	0.550886	+	1.31163i
$421$			14.3628i			0.700002i	0.936749	+	0.350001i	$0.113819\pi$
$421$			14.3628i			0.700002i	−0.936749	+	0.350001i	$0.886181\pi$
$422$	29.5463	−	15.8320i	1.43829	−	0.770689i
$423$	−3.91140	−	14.5976i	−0.190179	−	0.709757i
$424$	−6.12523	−	36.3995i	−0.297467	−	1.76772i
$425$	−6.38117	−	3.72928i	−0.309532	−	0.180896i
$426$	−3.00061	−	3.19711i	−0.145380	−	0.154900i
$427$	−30.1557	+	2.14352i	−1.45933	+	0.103732i
$428$	−4.23377	−	4.80767i	−0.204647	−	0.232387i
$429$	9.74283	+	16.8751i	0.470388	+	0.814737i
$430$	4.08579	+	3.36416i	0.197034	+	0.162234i
$431$	−4.34029	+	7.51761i	−0.209065	+	0.362111i	−0.951420	−	0.307896i	$-0.900375\pi$
$431$	−4.34029	+	7.51761i	−0.209065	+	0.362111i	0.742356	+	0.670006i	$0.233709\pi$
$432$	0.652390	+	0.267084i	0.0313881	+	0.0128501i
$433$	−19.0314	+	19.0314i	−0.914591	+	0.914591i	−0.996629	−	0.0820381i	$-0.973857\pi$
$433$	−19.0314	+	19.0314i	−0.914591	+	0.914591i	0.0820381	+	0.996629i	$0.473857\pi$
$434$	−7.68089	−	4.04113i	−0.368695	−	0.193981i
$435$	−38.4928	−	5.17120i	−1.84559	−	0.247940i
$436$	10.9615	+	22.1127i	0.524960	+	1.05901i
$437$	−4.70179	−	17.5473i	−0.224917	−	0.839403i
$438$	14.2587	−	22.9827i	0.681308	−	1.09815i
$439$	−13.8205	−	23.9378i	−0.659617	−	1.14249i	−0.980715	−	0.195444i	$-0.937385\pi$
$439$	−13.8205	−	23.9378i	−0.659617	−	1.14249i	0.321098	−	0.947046i	$-0.395948\pi$
$440$	−4.63979	−	7.45393i	−0.221193	−	0.355352i
$441$	−19.9535	−	8.00845i	−0.950168	−	0.381355i
$442$	−0.377365	+	11.9023i	−0.0179494	+	0.566135i
$443$	−22.7575	−	6.09787i	−1.08124	−	0.289718i	−0.326138	−	0.945322i	$-0.605748\pi$
$443$	−22.7575	−	6.09787i	−1.08124	−	0.289718i	−0.755105	+	0.655604i	$0.772414\pi$
$444$	33.5412	+	22.3117i	1.59180	+	1.05887i
$445$	−3.23857	−	25.1120i	−0.153523	−	1.19042i
$446$	20.6030	+	6.22668i	0.975580	+	0.294842i
$447$	−2.82248	−	2.82248i	−0.133499	−	0.133499i
$448$	−12.6878	+	16.9417i	−0.599442	+	0.800418i
$449$			1.52319i			0.0718839i	0.999354	+	0.0359419i	$0.0114431\pi$
$449$			1.52319i			0.0718839i	−0.999354	+	0.0359419i	$0.988557\pi$
$450$	4.84181	+	21.1724i	0.228245	+	0.998075i
$451$	−3.94361	+	6.83054i	−0.185697	+	0.321637i
$452$	13.9674	−	2.80822i	0.656970	−	0.132087i
$453$	−3.39726	+	12.6787i	−0.159617	+	0.595699i
$454$	3.77742	−	3.54525i	0.177283	−	0.166387i
$455$	33.6344	+	2.10759i	1.57681	+	0.0988054i
$456$	−19.0496	+	15.7324i	−0.892081	+	0.736738i
$457$	12.5478	+	3.36219i	0.586964	+	0.157276i	0.540065	−	0.841623i	$-0.318400\pi$
$457$	12.5478	+	3.36219i	0.586964	+	0.157276i	0.0468985	+	0.998900i	$0.485066\pi$
$458$	−3.74227	−	2.32175i	−0.174865	−	0.108488i
$459$	0.130256	−	0.225610i	0.00607983	−	0.0105306i
$460$	−7.35400	−	21.7057i	−0.342882	−	1.01203i
$461$	−14.5849			−0.679285			−0.339643	−	0.940555i	$-0.610306\pi$
$461$	−14.5849			−0.679285			−0.339643	+	0.940555i	$0.610306\pi$
$462$	12.4835	+	2.82475i	0.580783	+	0.131419i
$463$	23.7220	+	23.7220i	1.10245	+	1.10245i	0.994114	+	0.108340i	$0.0345536\pi$
$463$	23.7220	+	23.7220i	1.10245	+	1.10245i	0.108340	+	0.994114i	$0.465446\pi$
$464$	−10.8975	−	26.0052i	−0.505902	−	1.20726i
$465$	−10.1188	−	7.80699i	−0.469247	−	0.362040i
$466$	22.2810	−	5.21941i	1.03215	−	0.241785i
$467$	25.0386	+	6.70908i	1.15865	+	0.310459i	0.786426	−	0.617684i	$-0.211929\pi$
$467$	25.0386	+	6.70908i	1.15865	+	0.310459i	0.372223	+	0.928143i	$0.378596\pi$
$468$	26.2617	−	23.1268i	1.21395	−	1.06904i
$469$	−3.12739	+	16.1883i	−0.144409	+	0.747507i
$470$	15.3471	+	2.55924i	0.707909	+	0.118049i
$471$	−5.87171	−	10.1701i	−0.270554	−	0.468613i
$472$	12.1396	+	8.64243i	0.558769	+	0.397800i
$473$	2.24427	−	0.601351i	0.103192	−	0.0276501i
$474$	6.76565	+	2.04473i	0.310756	+	0.0939174i
$475$	−17.0964	−	4.67795i	−0.784437	−	0.214639i
$476$	5.57264	+	5.48887i	0.255422	+	0.251582i
$477$	28.3435	+	28.3435i	1.29776	+	1.29776i
$478$	24.7436	−	13.2585i	1.13174	−	0.606430i
$479$	−6.98765	+	12.1030i	−0.319274	+	0.552998i	−0.980337	−	0.197332i	$-0.936772\pi$
$479$	−6.98765	+	12.1030i	−0.319274	+	0.552998i	0.661063	+	0.750330i	$0.270106\pi$
$480$	−22.6949	+	21.3632i	−1.03587	+	0.975093i
$481$	40.3263	−	23.2824i	1.83872	−	1.06159i
$482$	−0.467176	+	14.7350i	−0.0212793	+	0.671161i
$483$	30.0439	+	14.6107i	1.36704	+	0.664808i
$484$	18.1091	+	1.14946i	0.823142	+	0.0522483i
$485$	1.77622	+	4.32042i	0.0806538	+	0.196180i
$486$	30.5182	−	7.14901i	1.38433	−	0.324286i
$487$	−6.61952	−	24.7044i	−0.299959	−	1.11946i	−0.937198	−	0.348797i	$-0.886590\pi$
$487$	−6.61952	−	24.7044i	−0.299959	−	1.11946i	0.637239	−	0.770666i	$-0.280076\pi$
$488$	−13.4293	−	29.3969i	−0.607914	−	1.33074i
$489$	0.788465			0.0356556
$490$	16.0131	−	15.2834i	0.723397	−	0.690432i
$491$		−	30.6876i		−	1.38491i	−0.721459	−	0.692457i	$-0.756528\pi$
$491$		−	30.6876i		−	1.38491i	0.721459	−	0.692457i	$-0.243472\pi$
$492$	26.5313	+	8.94523i	1.19612	+	0.403282i
$493$	−10.0648	+	2.69686i	−0.453297	+	0.121461i
$494$	6.51351	+	27.8053i	0.293057	+	1.25102i
$495$	8.79918	+	3.67201i	0.395494	+	0.165045i
$496$	1.17315	−	9.20389i	0.0526758	−	0.413267i
$497$	−1.45592	+	2.99380i	−0.0653069	+	0.134290i
$498$	−1.35272	+	42.6654i	−0.0606167	+	1.91188i
$499$	1.39898	+	2.42310i	0.0626269	+	0.108473i	0.895639	−	0.444782i	$-0.146719\pi$
$499$	1.39898	+	2.42310i	0.0626269	+	0.108473i	−0.833012	+	0.553255i	$0.813386\pi$
$500$	−21.9051	−	4.49095i	−0.979624	−	0.200842i
$501$	−29.1566	−	16.8335i	−1.30262	−	0.752067i
$502$	1.49210	+	2.78461i	0.0665956	+	0.124283i
$503$	−6.07330	+	6.07330i	−0.270795	+	0.270795i	−0.829420	−	0.558625i	$-0.811329\pi$
$503$	−6.07330	+	6.07330i	−0.270795	+	0.270795i	0.558625	+	0.829420i	$0.311329\pi$
$504$	0.554379	−	22.9785i	0.0246940	−	1.02354i
$505$	10.5148	−	8.02422i	0.467902	−	0.357073i
$506$	−9.63064	−	2.91059i	−0.428134	−	0.129392i
$507$	−12.4035	−	46.2904i	−0.550858	−	2.05583i
$508$	4.18254	+	20.8029i	0.185570	+	0.922980i
$509$	33.7377	−	19.4785i	1.49540	−	0.863368i	0.495411	−	0.868659i	$-0.335017\pi$
$509$	33.7377	−	19.4785i	1.49540	−	0.863368i	0.999986	+	0.00529089i	$0.00168415\pi$
$510$	6.69395	+	9.37327i	0.296413	+	0.415056i
$511$	−20.1623	−	3.89511i	−0.891928	−	0.172310i
$512$	−21.7131	−	6.36732i	−0.959591	−	0.281399i
$513$	0.161698	−	0.603464i	0.00713913	−	0.0266436i
$514$	−6.20375	+	1.45325i	−0.273636	+	0.0641002i
$515$	31.6052	+	24.3845i	1.39269	+	1.07451i
$516$	−3.66320	−	7.38981i	−0.161263	−	0.325318i
$517$	4.82984	−	4.82984i	0.212416	−	0.212416i
$518$	6.75029	−	29.8317i	0.296591	−	1.31073i
$519$		−	13.4031i		−	0.588331i
$520$	10.4736	+	34.4712i	0.459298	+	1.51166i
$521$	−17.8148	−	10.2854i	−0.780479	−	0.450610i	0.0561210	−	0.998424i	$-0.482127\pi$
$521$	−17.8148	−	10.2854i	−0.780479	−	0.450610i	−0.836600	+	0.547814i	$0.815460\pi$
$522$	26.0188	+	16.1424i	1.13881	+	0.706533i
$523$	−10.4816	+	39.1180i	−0.458330	+	1.71051i	0.219781	+	0.975549i	$0.429466\pi$
$523$	−10.4816	+	39.1180i	−0.458330	+	1.71051i	−0.678110	+	0.734960i	$0.737201\pi$
$524$	2.92066	+	0.185387i	0.127590	+	0.00809866i
$525$	27.0987	−	18.1157i	1.18268	−	0.790633i
$526$	−6.79382	−	7.23873i	−0.296225	−	0.315624i
$527$	−3.31198	−	0.887442i	−0.144272	−	0.0386576i
$528$	1.84185	+	13.5582i	0.0801564	+	0.590047i
$529$	−2.82400	−	1.63044i	−0.122783	−	0.0708887i
$530$	−38.6465	+	14.4744i	−1.67869	+	0.628728i
$531$	−16.1825			−0.702260
$532$	16.3157	+	9.25581i	0.707374	+	0.401290i
$533$	22.8847	−	22.8847i	0.991246	−	0.991246i
$534$	−11.4153	+	37.7714i	−0.493990	+	1.63453i
$535$	−4.37511	+	5.67067i	−0.189153	+	0.245164i
$536$	−17.3816	+	2.92494i	−0.750772	+	0.126338i
$537$	5.86369	−	21.8836i	0.253037	−	0.944346i
$538$	−0.374912	+	11.8249i	−0.0161636	+	0.509809i
$539$	−1.37456	−	9.61999i	−0.0592064	−	0.414362i
$540$	0.154211	−	0.772918i	0.00663617	−	0.0332611i
$541$	2.21865	−	1.28094i	0.0953871	−	0.0550718i	−0.451548	−	0.892247i	$-0.649128\pi$
$541$	2.21865	−	1.28094i	0.0953871	−	0.0550718i	0.546935	+	0.837175i	$0.315795\pi$
$542$	−14.5482	−	9.02591i	−0.624901	−	0.387696i
$543$	−6.37025	+	1.70690i	−0.273373	+	0.0732502i
$544$	−3.41175	+	7.63428i	−0.146278	+	0.327317i
$545$	21.9358	−	16.7400i	0.939626	−	0.717063i
$546$	−46.4783	−	24.4536i	−1.98909	−	1.04652i
$547$	9.13821	+	9.13821i	0.390722	+	0.390722i	0.874945	−	0.484223i	$-0.160898\pi$
$547$	9.13821	+	9.13821i	0.390722	+	0.390722i	−0.484223	+	0.874945i	$0.660898\pi$
$548$	17.6090	+	5.93701i	0.752219	+	0.253616i
$549$	30.3948	+	17.5484i	1.29722	+	0.748948i
$550$	−7.19309	+	6.67984i	−0.306715	+	0.284829i
$551$	−21.6408	+	12.4943i	−0.921928	+	0.532276i
$552$	−3.39079	+	35.5535i	−0.144321	+	1.51326i
$553$	−0.380486	−	5.35278i	−0.0161799	−	0.227623i
$554$	−12.1540	−	12.9499i	−0.516373	−	0.550188i
$555$	17.3457	−	41.5651i	0.736283	−	1.76434i
$556$	−22.3902	−	14.8940i	−0.949554	−	0.631645i
$557$	23.0788	−	6.18395i	0.977880	−	0.262022i	0.265729	−	0.964048i	$-0.414387\pi$
$557$	23.0788	−	6.18395i	0.977880	−	0.262022i	0.712152	+	0.702026i	$0.247721\pi$
$558$	4.75885	+	8.88116i	0.201458	+	0.375970i
$559$	−9.53383			−0.403238
$560$	21.2965	+	10.3178i	0.899943	+	0.436008i
$561$	5.05647			0.213484
$562$	3.90156	+	7.28125i	0.164577	+	0.307141i
$563$	−18.5272	+	4.96435i	−0.780829	+	0.209223i	−0.627150	−	0.778898i	$-0.715779\pi$
$563$	−18.5272	+	4.96435i	−0.780829	+	0.209223i	−0.153679	+	0.988121i	$0.549112\pi$
$564$	−20.1885	−	13.4294i	−0.850090	−	0.565481i
$565$	−6.05666	−	14.7321i	−0.254806	−	0.619783i
$566$	28.5311	+	30.3995i	1.19925	+	1.27778i
$567$	−13.0125	−	19.2440i	−0.546473	−	0.808174i
$568$	−3.54283	−	0.337884i	−0.148654	−	0.0141773i
$569$	−2.51167	+	1.45011i	−0.105295	+	0.0607918i	−0.551722	−	0.834028i	$-0.686029\pi$
$569$	−2.51167	+	1.45011i	−0.105295	+	0.0607918i	0.446428	+	0.894820i	$0.352696\pi$
$570$	21.3241	+	17.5579i	0.893169	+	0.735418i
$571$	−2.05555	−	1.18677i	−0.0860221	−	0.0496649i	0.456372	−	0.889789i	$-0.349149\pi$
$571$	−2.05555	−	1.18677i	−0.0860221	−	0.0496649i	−0.542394	+	0.840124i	$0.682482\pi$
$572$	14.9871	+	5.05301i	0.626641	+	0.211277i
$573$	−22.9130	−	22.9130i	−0.957203	−	0.957203i
$574$	−0.834543	−	21.2416i	−0.0348331	−	0.886609i
$575$	−22.2573	+	12.6939i	−0.928193	+	0.529371i
$576$	23.2189	−	8.04216i	0.967453	−	0.335090i
$577$	−8.27018	+	2.21599i	−0.344292	+	0.0922527i	−0.426822	−	0.904336i	$-0.640367\pi$
$577$	−8.27018	+	2.21599i	−0.344292	+	0.0922527i	0.0825296	+	0.996589i	$0.473700\pi$
$578$	−17.8034	−	11.0455i	−0.740525	−	0.459431i
$579$	−50.0279	+	28.8836i	−2.07909	+	1.20036i
$580$	−26.2216	+	17.4987i	−1.08879	+	0.726593i
$581$	30.6322	−	10.5869i	1.27084	−	0.439218i
$582$	0.230690	−	7.27609i	0.00956240	−	0.301603i
$583$	−4.68896	+	17.4994i	−0.194197	+	0.724752i
$584$	−3.64297	−	21.6486i	−0.150747	−	0.895824i
$585$	−30.9759	−	23.8989i	−1.28069	−	0.988099i
$586$	5.63522	−	18.6460i	0.232789	−	0.770258i
$587$	−5.82997	+	5.82997i	−0.240629	+	0.240629i	−0.817110	−	0.576482i	$-0.804425\pi$
$587$	−5.82997	+	5.82997i	−0.240629	+	0.240629i	0.576482	+	0.817110i	$0.304425\pi$
$588$	−32.5180	+	11.5151i	−1.34102	+	0.474874i
$589$	−8.22287			−0.338817
$590$	6.90041	−	15.1644i	0.284086	−	0.624310i
$591$	44.8218	+	25.8779i	1.84372	+	1.06447i
$592$	32.4001	−	4.40147i	1.33164	−	0.180899i
$593$	20.4369	+	5.47606i	0.839244	+	0.224875i	0.652742	−	0.757580i	$-0.273618\pi$
$593$	20.4369	+	5.47606i	0.839244	+	0.224875i	0.186502	+	0.982455i	$0.440285\pi$
$594$	−0.236783	−	0.252289i	−0.00971531	−	0.0103515i
$595$	4.83765	−	7.28523i	0.198324	−	0.298666i
$596$	−3.23335	−	0.205235i	−0.132443	−	0.00840674i
$597$	16.2148	−	60.5146i	0.663629	−	2.47670i
$598$	35.0800	+	21.7641i	1.43453	+	0.889999i
$599$	−16.5715	−	9.56754i	−0.677091	−	0.390919i	0.121667	−	0.992571i	$-0.461176\pi$
$599$	−16.5715	−	9.56754i	−0.677091	−	0.390919i	−0.798758	+	0.601652i	$0.794509\pi$
$600$	28.2806	+	20.3596i	1.15455	+	0.831179i
$601$			10.0881i			0.411501i	0.978604	+	0.205750i	$0.0659635\pi$
$601$			10.0881i			0.411501i	−0.978604	+	0.205750i	$0.934036\pi$
$602$	−4.25083	+	4.59850i	−0.173251	+	0.187421i
$603$	13.5347	−	13.5347i	0.551175	−	0.551175i
$604$	4.73183	+	9.54557i	0.192536	+	0.388404i
$605$	−2.59487	−	20.1207i	−0.105496	−	0.818024i
$606$	−20.0694	+	4.70133i	−0.815262	+	0.190978i
$607$	−10.1679	+	37.9471i	−0.412702	+	1.54023i	0.376691	+	0.926339i	$0.377062\pi$
$607$	−10.1679	+	37.9471i	−0.412702	+	1.54023i	−0.789394	+	0.613887i	$0.789605\pi$
$608$	−3.16463	+	19.8021i	−0.128343	+	0.803081i
$609$	8.71667	−	45.1202i	0.353217	−	1.82836i
$610$	−29.4052	+	20.9998i	−1.19058	+	0.850256i
$611$	−24.2725	+	14.0137i	−0.981959	+	0.566934i
$612$	−1.78989	−	8.90249i	−0.0723522	−	0.359862i
$613$	1.05686	+	3.94425i	0.0426861	+	0.159307i	0.983979	−	0.178284i	$-0.0570546\pi$
$613$	1.05686	+	3.94425i	0.0426861	+	0.159307i	−0.941293	+	0.337591i	$0.890388\pi$
$614$	38.4693	+	11.6263i	1.55250	+	0.469198i
$615$	4.16793	−	31.0248i	0.168067	−	1.25104i
$616$	9.11950	−	4.97582i	0.367435	−	0.200482i
$617$	−13.6137	+	13.6137i	−0.548068	+	0.548068i	−0.925882	−	0.377814i	$-0.876676\pi$
$617$	−13.6137	+	13.6137i	−0.548068	+	0.548068i	0.377814	+	0.925882i	$0.376676\pi$
$618$	−29.3817	−	54.8332i	−1.18190	−	2.20572i
$619$	−4.80829	−	2.77607i	−0.193262	−	0.111580i	0.400247	−	0.916407i	$-0.368924\pi$
$619$	−4.80829	−	2.77607i	−0.193262	−	0.111580i	−0.593509	+	0.804828i	$0.702258\pi$
$620$	−10.3517	+	0.672435i	−0.415734	+	0.0270057i
$621$	−0.451564	−	0.782132i	−0.0181207	−	0.0313859i
$622$	−1.03057	+	32.5047i	−0.0413220	+	1.30332i
$623$	29.8836	−	2.12418i	1.19726	−	0.0851036i
$624$	7.09890	−	55.6942i	0.284183	−	2.22955i
$625$	−0.264263	+	24.9986i	−0.0105705	+	0.999944i
$626$	−3.46672	−	14.7990i	−0.138558	−	0.591486i
$627$	11.7131	−	3.13851i	0.467775	−	0.125340i
$628$	−9.03226	−	3.04530i	−0.360426	−	0.121521i
$629$		−	12.0834i		−	0.481798i
$630$	−25.3384	+	4.28498i	−1.00951	+	0.170718i
$631$	7.28953			0.290192			0.145096	−	0.989418i	$-0.453651\pi$
$631$	7.28953			0.290192			0.145096	+	0.989418i	$0.453651\pi$
$632$	5.21810	−	2.38376i	0.207565	−	0.0948209i
$633$	15.1162	+	56.4144i	0.600815	+	2.24227i
$634$	17.4477	−	4.08719i	0.692937	−	0.162323i
$635$	21.9419	−	9.02075i	0.870736	−	0.357978i
$636$	64.1830	+	4.07397i	2.54502	+	0.161543i
$637$	−4.76854	+	39.5887i	−0.188936	+	1.56856i
$638$	−0.438554	+	13.8322i	−0.0173625	+	0.547623i
$639$	3.34700	−	1.93239i	0.132405	−	0.0764442i
$640$	−2.36459	+	25.1875i	−0.0934685	+	0.995622i
$641$	17.9707	−	31.1261i	0.709799	−	1.22941i	−0.255132	−	0.966906i	$-0.582119\pi$
$641$	17.9707	−	31.1261i	0.709799	−	1.22941i	0.964931	−	0.262502i	$-0.0845477\pi$
$642$	9.83829	−	5.27172i	0.388286	−	0.208058i
$643$	−13.5715	−	13.5715i	−0.535207	−	0.535207i	0.386910	−	0.922117i	$-0.373542\pi$
$643$	−13.5715	−	13.5715i	−0.535207	−	0.535207i	−0.922117	+	0.386910i	$0.873542\pi$
$644$	26.1386	−	7.21643i	1.03001	−	0.284367i
$645$	−7.33069	+	5.59432i	−0.288646	+	0.220276i
$646$	7.09383	+	2.14391i	0.279103	+	0.0843511i
$647$	6.74658	−	1.80774i	0.265235	−	0.0710696i	−0.123750	−	0.992313i	$-0.539492\pi$
$647$	6.74658	−	1.80774i	0.265235	−	0.0710696i	0.388986	+	0.921244i	$0.372826\pi$
$648$	14.4031	−	20.2312i	0.565806	−	0.794758i
$649$	−3.65701	−	6.33413i	−0.143550	−	0.248636i
$650$	35.6040	−	18.8364i	1.39650	−	0.738824i
$651$	9.90779	−	11.4241i	0.388317	−	0.447746i
$652$	0.480289	−	0.422956i	0.0188096	−	0.0165642i
$653$	44.8262	+	12.0111i	1.75418	+	0.470032i	0.985511	−	0.169611i	$-0.0542512\pi$
$653$	44.8262	+	12.0111i	1.75418	+	0.470032i	0.768672	+	0.639643i	$0.220918\pi$
$654$	−41.8684	+	9.80785i	−1.63719	+	0.383517i
$655$	−0.418504	−	3.24510i	−0.0163523	−	0.126796i
$656$	20.9599	−	8.78324i	0.818345	−	0.342928i
$657$	16.8572	+	16.8572i	0.657664	+	0.657664i
$658$	−4.06301	+	17.9557i	−0.158393	+	0.699988i
$659$	14.5624			0.567272			0.283636	−	0.958932i	$-0.408459\pi$
$659$	14.5624			0.567272			0.283636	+	0.958932i	$0.408459\pi$
$660$	14.4888	−	4.90889i	0.563976	−	0.191078i
$661$	−6.80060	+	11.7790i	−0.264513	+	0.458149i	−0.967436	−	0.253116i	$-0.918544\pi$
$661$	−6.80060	+	11.7790i	−0.264513	+	0.458149i	0.702923	+	0.711266i	$0.251878\pi$
$662$	−13.3403	−	8.27649i	−0.518486	−	0.321675i
$663$	−20.0413	−	5.37006i	−0.778341	−	0.208556i
$664$	22.0630	+	26.7150i	0.856211	+	1.03674i
$665$	6.68431	−	19.8786i	0.259206	−	0.770859i
$666$	−25.8910	+	24.2997i	−1.00325	+	0.941593i
$667$	−9.34933	+	34.8922i	−0.362008	+	1.35103i
$668$	−26.7906	+	5.38639i	−1.03656	+	0.208406i
$669$	−18.7505	+	32.4769i	−0.724938	+	1.25563i
$670$	6.91187	+	18.4546i	0.267029	+	0.712963i
$671$			15.8628i			0.612376i
$672$	−23.6981	−	28.2563i	−0.914175	−	1.09001i
$673$	−13.0275	−	13.0275i	−0.502173	−	0.502173i	0.409940	−	0.912113i	$-0.365550\pi$
$673$	−13.0275	−	13.0275i	−0.502173	−	0.502173i	−0.912113	+	0.409940i	$0.865550\pi$
$674$	5.48452	+	1.65754i	0.211256	+	0.0638461i
$675$	−0.881168	−	0.00465733i	−0.0339162	−	0.000179261i
$676$	−32.3871	−	21.5439i	−1.24566	−	0.828613i
$677$	−39.1366	−	10.4866i	−1.50414	−	0.403034i	−0.589657	−	0.807654i	$-0.700737\pi$
$677$	−39.1366	−	10.4866i	−1.50414	−	0.403034i	−0.914485	+	0.404620i	$0.867404\pi$
$678$	−0.786622	+	24.8105i	−0.0302100	+	0.952842i
$679$	−5.22395	+	1.80547i	−0.200477	+	0.0692875i
$680$	9.10568	+	2.11884i	0.349187	+	0.0812539i
$681$	4.51312	+	7.81695i	0.172943	+	0.299546i
$682$	−2.40082	+	3.86973i	−0.0919323	+	0.148179i
$683$	5.44059	+	20.3046i	0.208178	+	0.776933i	0.988457	+	0.151501i	$0.0484106\pi$
$683$	5.44059	+	20.3046i	0.208178	+	0.776933i	−0.780279	+	0.625432i	$0.784923\pi$
$684$	−9.67191	−	19.5112i	−0.369815	−	0.746031i
$685$	2.76628	−	20.5913i	0.105694	−	0.786755i
$686$	16.9689	+	19.9514i	0.647875	+	0.761747i
$687$	5.42582	−	5.42582i	0.207008	−	0.207008i
$688$	−6.19553	−	2.53641i	−0.236202	−	0.0966997i
$689$	37.1694	−	64.3793i	1.41604	−	2.45266i
$690$	39.7444	−	3.84978i	1.51304	−	0.146559i
$691$	6.97906	+	12.0881i	0.265496	+	0.459853i	0.967693	−	0.252130i	$-0.0811309\pi$
$691$	6.97906	+	12.0881i	0.265496	+	0.459853i	−0.702197	+	0.711982i	$0.747798\pi$
$692$	−7.18983	−	8.16443i	−0.273316	−	0.310365i
$693$	−4.93384	+	10.1455i	−0.187421	+	0.385394i
$694$	−25.5970	−	27.2732i	−0.971648	−	1.03528i
$695$	−11.5790	+	27.7464i	−0.439215	+	1.05248i
$696$	48.4462	−	8.15241i	1.83635	−	0.309016i
$697$	−2.17364	−	8.11214i	−0.0823326	−	0.307269i
$698$	−5.65309	+	3.02913i	−0.213973	+	0.114654i
$699$			39.8721i			1.50810i
$700$	6.78922	−	25.5716i	0.256608	−	0.966515i
$701$		−	26.6312i		−	1.00585i	−0.864331	−	0.502924i	$-0.832258\pi$
$701$		−	26.6312i		−	1.00585i	0.864331	−	0.502924i	$-0.167742\pi$
$702$	0.670554	+	1.25141i	0.0253084	+	0.0472316i
$703$	−7.50008	−	27.9907i	−0.282871	−	1.05569i
$704$	8.39500	+	7.27090i	0.316398	+	0.274032i
$705$	−10.4404	+	25.0181i	−0.393208	+	0.942236i
$706$	33.8797	−	31.7974i	1.27508	−	1.19671i
$707$	8.76638	+	12.9645i	0.329694	+	0.487581i
$708$	−19.4854	+	17.1594i	−0.732305	+	0.644889i
$709$	7.56833	+	13.1087i	0.284235	+	0.492309i	0.972423	−	0.233223i	$-0.0749272\pi$
$709$	7.56833	+	13.1087i	0.284235	+	0.492309i	−0.688189	+	0.725532i	$0.741594\pi$
$710$	0.383623	+	3.96044i	0.0143971	+	0.148633i
$711$	−3.11493	+	5.39522i	−0.116819	+	0.202337i
$712$	13.3081	+	29.1318i	0.498743	+	1.09176i
$713$	−8.40525	+	8.40525i	−0.314779	+	0.314779i
$714$	−11.5260	+	7.27230i	−0.431348	+	0.272159i
$715$	2.35439	−	17.5254i	0.0880493	−	0.655412i
$716$	−8.16717	−	16.4757i	−0.305222	−	0.615726i
$717$	12.6591	+	47.2443i	0.472762	+	1.76437i
$718$	−9.51127	−	5.90091i	−0.354958	−	0.220220i
$719$	15.9668	+	27.6554i	0.595463	+	1.03137i	0.993481	+	0.113994i	$0.0363645\pi$
$719$	15.9668	+	27.6554i	0.595463	+	1.03137i	−0.398019	+	0.917377i	$0.630302\pi$
$720$	−13.7714	−	23.7716i	−0.513231	−	0.885914i
$721$	−30.9462	+	35.6822i	−1.15250	+	1.32888i
$722$	−9.09333	−	0.288306i	−0.338419	−	0.0107296i
$723$	−24.8111	−	6.64812i	−0.922735	−	0.247246i
$724$	−2.96476	+	4.45694i	−0.110185	+	0.165641i
$725$	24.7900	+	25.0535i	0.920679	+	0.930463i
$726$	−9.14641	+	30.2639i	−0.339455	+	1.12320i
$727$	13.6394	+	13.6394i	0.505857	+	0.505857i	0.913252	−	0.407395i	$-0.133563\pi$
$727$	13.6394	+	13.6394i	0.505857	+	0.505857i	−0.407395	+	0.913252i	$0.633563\pi$
$728$	−41.4296	+	10.0366i	−1.53548	+	0.371982i
$729$			28.2717i			1.04710i
$730$	−22.9849	+	8.60862i	−0.850710	+	0.318619i
$731$	−1.23700	+	2.14254i	−0.0457520	+	0.0792448i
$732$	55.2062	−	11.0995i	2.04048	−	0.410250i
$733$	−5.57655	+	20.8120i	−0.205975	+	0.768708i	0.783176	+	0.621801i	$0.213599\pi$
$733$	−5.57655	+	20.8120i	−0.205975	+	0.768708i	−0.989150	+	0.146907i	$0.953068\pi$
$734$	−2.09685	−	2.23417i	−0.0773962	−	0.0824647i
$735$	19.5635	+	33.2384i	0.721611	+	1.22602i
$736$	17.0065	+	23.4761i	0.626867	+	0.865341i
$737$	8.35638	+	2.23909i	0.307811	+	0.0824778i
$738$	−13.0106	+	20.9709i	−0.478926	+	0.771949i
$739$	−17.5022	+	30.3146i	−0.643828	+	1.11514i	0.340743	+	0.940156i	$0.389321\pi$
$739$	−17.5022	+	30.3146i	−0.643828	+	1.11514i	−0.984571	+	0.174986i	$0.944012\pi$
$740$	−11.7308	−	34.6239i	−0.431231	−	1.27280i
$741$	−49.7579			−1.82790
$742$	−14.4798	−	46.6328i	−0.531569	−	1.71194i
$743$	15.3679	+	15.3679i	0.563792	+	0.563792i	0.930382	−	0.366590i	$-0.119475\pi$
$743$	15.3679	+	15.3679i	0.563792	+	0.563792i	−0.366590	+	0.930382i	$0.619475\pi$
$744$	15.1475	+	5.64771i	0.555333	+	0.207055i
$745$	0.463310	+	3.59252i	0.0169743	+	0.131620i
$746$	5.31852	+	22.7041i	0.194725	+	0.831255i
$747$	−36.3436	−	9.73824i	−1.32974	−	0.356304i
$748$	3.08012	−	2.71244i	0.112620	−	0.0991766i
$749$	−6.40218	−	5.55242i	−0.233931	−	0.202881i
$750$	16.3235	−	35.3755i	0.596048	−	1.29173i
$751$	−24.0922	−	41.7290i	−0.879139	−	1.52271i	−0.852288	−	0.523073i	$-0.824785\pi$
$751$	−24.0922	−	41.7290i	−0.879139	−	1.52271i	−0.0268507	−	0.999639i	$-0.508548\pi$
$752$	−19.5017	+	2.64925i	−0.711152	+	0.0966083i
$753$	−5.31682	+	1.42464i	−0.193756	+	0.0519167i
$754$	16.4283	−	54.3583i	0.598283	−	1.97961i
$755$	9.46921	−	7.22630i	0.344620	−	0.262992i
$756$	0.902580	+	0.234534i	0.0328265	+	0.00852992i
$757$	22.6071	+	22.6071i	0.821669	+	0.821669i	0.986347	−	0.164679i	$-0.0526587\pi$
$757$	22.6071	+	22.6071i	0.821669	+	0.821669i	−0.164679	+	0.986347i	$0.552659\pi$
$758$	2.79418	+	5.21462i	0.101489	+	0.189403i
$759$	8.76474	−	15.1810i	0.318140	−	0.551034i
$760$	22.4080	−	0.743620i	0.812825	−	0.0269739i
$761$	−26.5944	+	15.3543i	−0.964047	+	0.556593i	−0.897416	−	0.441185i	$-0.854558\pi$
$761$	−26.5944	+	15.3543i	−0.964047	+	0.556593i	−0.0666305	+	0.997778i	$0.521225\pi$
$762$	−36.9526	−	1.17159i	−1.33865	−	0.0424422i
$763$	18.2883	+	27.0464i	0.662081	+	0.979146i
$764$	−26.2485	−	1.66610i	−0.949637	−	0.0602775i
$765$	−9.38989	+	3.86038i	−0.339492	+	0.139572i
$766$	3.76277	+	16.0628i	0.135954	+	0.580371i
$767$	7.76763	+	28.9892i	0.280473	+	1.04674i
$768$	19.4303	−	34.3041i	0.701130	−	1.23784i
$769$	−19.7591			−0.712533			−0.356266	−	0.934384i	$-0.615950\pi$
$769$	−19.7591			−0.712533			−0.356266	+	0.934384i	$0.615950\pi$
$770$	−7.40336	−	8.94961i	−0.266799	−	0.322522i
$771$		−	11.1017i		−	0.399817i
$772$	−14.9802	+	44.4307i	−0.539148	+	1.59910i
$773$	−34.5362	+	9.25394i	−1.24218	+	0.332841i	−0.819311	−	0.573349i	$-0.805644\pi$
$773$	−34.5362	+	9.25394i	−1.24218	+	0.332841i	−0.422869	+	0.906191i	$0.638977\pi$
$774$	7.07839	−	1.65814i	0.254427	−	0.0596006i
$775$	2.94252	+	11.2185i	0.105698	+	0.402979i
$776$	−3.76259	−	4.55593i	−0.135069	−	0.163548i
$777$	47.9246	+	23.3062i	1.71928	+	0.836106i
$778$	−2.15304	−	0.0682625i	−0.0771901	−	0.00244733i
$779$	−10.0703	−	17.4422i	−0.360805	−	0.624933i
$780$	−62.6398	+	4.06902i	−2.24287	+	0.145694i
$781$	1.51275	+	0.873387i	0.0541304	+	0.0312522i
$782$	9.44263	−	5.05971i	0.337668	−	0.180935i
$783$	−0.878435	+	0.878435i	−0.0313927	+	0.0313927i
$784$	−13.6311	+	24.4580i	−0.486826	+	0.873499i
$785$	−1.41892	+	10.5620i	−0.0506435	+	0.376974i
$786$	−1.47514	+	4.88100i	−0.0526166	+	0.174099i
$787$	−6.68913	−	24.9642i	−0.238442	−	0.889877i	−0.976567	−	0.215213i	$-0.930955\pi$
$787$	−6.68913	−	24.9642i	−0.238442	−	0.889877i	0.738125	−	0.674664i	$-0.235711\pi$
$788$	41.1846	−	8.28038i	1.46714	−	0.294976i
$789$	14.9797	−	8.64856i	0.533293	−	0.307897i
$790$	−3.72757	−	5.21957i	−0.132621	−	0.185704i
$791$	17.8130	−	6.15641i	0.633357	−	0.218897i
$792$	−12.0060	−	1.14503i	−0.426614	−	0.0406868i
$793$	16.8466	−	62.8723i	0.598239	−	2.23266i
$794$	−1.97540	−	8.43273i	−0.0701044	−	0.299267i
$795$	−9.19683	−	71.3126i	−0.326178	−	2.52920i
$796$	−22.5847	−	45.5602i	−0.800492	−	1.61484i
$797$	8.24387	−	8.24387i	0.292013	−	0.292013i	−0.545862	−	0.837875i	$-0.683798\pi$
$797$	8.24387	−	8.24387i	0.292013	−	0.292013i	0.837875	+	0.545862i	$0.183798\pi$
$798$	−22.1855	+	24.0000i	−0.785357	+	0.849591i
$799$			7.27303i			0.257301i
$800$	28.1484	−	2.76858i	0.995198	−	0.0978841i
$801$	−30.1206	−	17.3901i	−1.06426	−	0.614450i
$802$	−24.6195	+	39.6826i	−0.869346	+	1.40124i
$803$	−2.78875	+	10.4077i	−0.0984128	+	0.367282i
$804$	1.94542	−	30.6489i	0.0686095	−	1.08090i
$805$	−13.4869	−	27.1520i	−0.475352	−	0.956984i
$806$	13.6254	−	12.7880i	0.479934	−	0.450437i
$807$	−19.9110	−	5.33515i	−0.700902	−	0.187806i
$808$	−9.70320	+	13.6296i	−0.341358	+	0.479487i
$809$	−31.9772	−	18.4621i	−1.12426	−	0.649092i	−0.181775	−	0.983340i	$-0.558184\pi$
$809$	−31.9772	−	18.4621i	−1.12426	−	0.649092i	−0.942485	+	0.334248i	$0.891518\pi$
$810$	−25.2723	−	11.4999i	−0.887980	−	0.404065i
$811$	30.8409			1.08297			0.541485	−	0.840710i	$-0.317862\pi$
$811$	30.8409			1.08297			0.541485	+	0.840710i	$0.317862\pi$
$812$	−18.8941	−	32.1606i	−0.663053	−	1.12862i
$813$	21.0931	−	21.0931i	0.739767	−	0.739767i
$814$	−15.3624	−	4.64284i	−0.538450	−	0.162731i
$815$	−0.566503	−	0.437076i	−0.0198437	−	0.0153101i
$816$	−11.5951	−	8.82158i	−0.405911	−	0.308817i
$817$	−1.53559	+	5.73090i	−0.0537235	+	0.200499i
$818$	26.8828	+	0.852323i	0.939934	+	0.0298008i
$819$	30.3300	−	34.9717i	1.05981	−	1.22201i
$820$	−14.1037	−	21.1344i	−0.492524	−	0.738044i
$821$	−32.5389	+	18.7863i	−1.13562	+	0.655648i	−0.945341	−	0.326083i	$-0.894271\pi$
$821$	−32.5389	+	18.7863i	−1.13562	+	0.655648i	−0.190274	+	0.981731i	$0.560938\pi$
$822$	−17.0693	+	27.5129i	−0.595362	+	0.959623i
$823$	−14.0538	+	3.76572i	−0.489886	+	0.131265i	−0.495302	−	0.868721i	$-0.664943\pi$
$823$	−14.0538	+	3.76572i	−0.489886	+	0.131265i	0.00541600	+	0.999985i	$0.498276\pi$
$824$	−47.3118	−	17.6402i	−1.64819	−	0.614524i
$825$	−8.47333	−	14.8570i	−0.295003	−	0.517255i
$826$	17.4458	+	9.17875i	0.607018	+	0.319369i
$827$	20.5487	+	20.5487i	0.714548	+	0.714548i	0.967483	−	0.252935i	$-0.0813960\pi$
$827$	20.5487	+	20.5487i	0.714548	+	0.714548i	−0.252935	+	0.967483i	$0.581396\pi$
$828$	−29.8304	−	10.0576i	−1.03668	−	0.349524i
$829$	−10.1456	−	5.85755i	−0.352370	−	0.203441i	0.313358	−	0.949635i	$-0.398546\pi$
$829$	−10.1456	−	5.85755i	−0.352370	−	0.203441i	−0.665729	+	0.746194i	$0.731879\pi$
$830$	24.6230	−	29.9048i	0.854677	−	1.03801i
$831$	26.7984	−	15.4720i	0.929625	−	0.536719i
$832$	−25.5518	−	37.7339i	−0.885849	−	1.30819i
$833$	8.27809	+	6.20821i	0.286819	+	0.215102i
$834$	34.1641	−	32.0643i	1.18301	−	1.11030i
$835$	11.6172	+	28.2573i	0.402029	+	0.977884i
$836$	5.45136	−	8.19504i	0.188539	−	0.283431i
$837$	−0.394866	+	0.105804i	−0.0136486	+	0.00365712i
$838$	−5.95420	+	3.19048i	−0.205684	+	0.110213i
$839$	12.4554			0.430007			0.215004	−	0.976613i	$-0.431024\pi$
$839$	12.4554			0.430007			0.215004	+	0.976613i	$0.431024\pi$
$840$	−25.9665	+	32.0276i	−0.895928	+	1.10506i
$841$	20.6889			0.713411
$842$	−17.9038	+	9.59351i	−0.617006	+	0.330614i
$843$	−13.9025	+	3.72516i	−0.478828	+	0.128301i
$844$	39.4703	+	26.2557i	1.35862	+	0.903760i
$845$	−16.7488	+	40.1349i	−0.576176	+	1.38068i
$846$	15.5838	−	14.6260i	0.535782	−	0.502852i
$847$	23.9439	−	1.70198i	0.822723	−	0.0584806i
$848$	41.2821	−	31.9481i	1.41763	−	1.09710i
$849$	−62.9083	+	36.3201i	−2.15901	+	1.24650i
$850$	0.386443	−	10.4453i	0.0132549	−	0.358271i
$851$	−36.2779	−	20.9451i	−1.24359	−	0.717988i
$852$	1.98109	−	5.87585i	0.0678710	−	0.201303i
$853$	24.2841	+	24.2841i	0.831471	+	0.831471i	0.987718	−	0.156247i	$-0.0499395\pi$
$853$	24.2841	+	24.2841i	0.831471	+	0.831471i	−0.156247	+	0.987718i	$0.549940\pi$
$854$	−22.8142	−	36.1584i	−0.780685	−	1.23732i
$855$	−19.3551	+	14.7706i	−0.661932	+	0.505145i
$856$	3.16503	−	8.48879i	0.108179	−	0.290141i
$857$	38.2541	−	10.2502i	1.30673	−	0.350138i	0.462742	−	0.886493i	$-0.346866\pi$
$857$	38.2541	−	10.2502i	1.30673	−	0.350138i	0.843993	+	0.536355i	$0.180199\pi$
$858$	−14.5278	+	23.4164i	−0.495971	+	0.799421i
$859$	18.4874	−	10.6737i	0.630783	−	0.364183i	−0.150272	−	0.988645i	$-0.548015\pi$
$859$	18.4874	−	10.6737i	0.630783	−	0.364183i	0.781055	+	0.624462i	$0.214682\pi$
$860$	−1.46449	+	7.34015i	−0.0499386	+	0.250297i
$861$	36.3664	+	7.02554i	1.23936	+	0.239430i
$862$	−12.2700	−	0.389024i	−0.417919	−	0.0132502i
$863$	−4.57829	+	17.0864i	−0.155847	+	0.581628i	0.843185	+	0.537624i	$0.180678\pi$
$863$	−4.57829	+	17.0864i	−0.155847	+	0.581628i	−0.999031	+	0.0440039i	$0.985989\pi$
$864$	0.102827	+	0.991625i	0.00349825	+	0.0337358i
$865$	−7.42986	+	9.62998i	−0.252623	+	0.327429i
$866$	−36.4352	−	11.0115i	−1.23812	−	0.374187i
$867$	25.8127	−	25.8127i	0.876645	−	0.876645i
$868$	−0.0929544	−	12.2738i	−0.00315508	−	0.416598i
$869$	−2.81573			−0.0955170
$870$	−19.2648	−	51.4368i	−0.653138	−	1.74387i
$871$	−30.7426	−	17.7493i	−1.04167	−	0.601411i
$872$	−20.2427	+	28.4339i	−0.685504	+	0.962892i
$873$	6.19797	+	1.66074i	0.209770	+	0.0562076i
$874$	18.7329	−	17.5815i	0.633649	−	0.594704i
$875$	−29.5123	−	2.00594i	−0.997698	−	0.0678132i
$876$	38.1727	+	2.42299i	1.28974	+	0.0818651i
$877$	1.53663	−	5.73478i	0.0518883	−	0.193650i	−0.935117	−	0.354340i	$-0.884705\pi$
$877$	1.53663	−	5.73478i	0.0518883	−	0.193650i	0.987005	+	0.160691i	$0.0513721\pi$
$878$	20.6081	−	33.2168i	0.695490	−	1.12101i
$879$	29.3920	+	16.9695i	0.991368	+	0.572367i
$880$	6.19250	−	10.7624i	0.208749	−	0.362802i
$881$		−	30.0727i		−	1.01318i	−0.862188	−	0.506588i	$-0.830907\pi$
$881$		−	30.0727i		−	1.01318i	0.862188	−	0.506588i	$-0.169093\pi$
$882$	−3.34494	−	30.2220i	−0.112630	−	1.01763i
$883$	11.9744	−	11.9744i	0.402969	−	0.402969i	−0.476309	−	0.879278i	$-0.658026\pi$
$883$	11.9744	−	11.9744i	0.402969	−	0.402969i	0.879278	+	0.476309i	$0.158026\pi$
$884$	−15.0887	+	7.47963i	−0.507488	+	0.251567i
$885$	22.9831	+	17.7322i	0.772568	+	0.596063i
$886$	−7.59946	−	32.4411i	−0.255309	−	1.08988i
$887$	14.0499	−	52.4350i	0.471750	−	1.76059i	−0.161729	−	0.986835i	$-0.551707\pi$
$887$	14.0499	−	52.4350i	0.471750	−	1.76059i	0.633479	−	0.773760i	$-0.281626\pi$
$888$	−5.40882	+	56.7133i	−0.181508	+	1.90317i
$889$	9.16932	+	26.5306i	0.307529	+	0.889806i
$890$	29.1399	−	20.8103i	0.976773	−	0.697564i
$891$	−10.5562	+	6.09460i	−0.353645	+	0.204177i
$892$	5.99979	+	29.8415i	0.200888	+	0.999166i
$893$	4.51431	+	16.8476i	0.151066	+	0.563784i
$894$	1.63308	−	5.40357i	0.0546183	−	0.180722i
$895$	−16.3439	+	12.4726i	−0.546316	+	0.416914i
$896$	−29.5931	−	4.49980i	−0.988636	−	0.150328i
$897$	−50.8615	+	50.8615i	−1.69822	+	1.69822i
$898$	−1.89872	+	1.01740i	−0.0633610	+	0.0339511i
$899$	14.1603	+	8.17543i	0.472271	+	0.272666i
$900$	−23.1581	+	20.1774i	−0.771937	+	0.672580i
$901$	−9.64534	−	16.7062i	−0.321333	−	0.556565i
$902$	−11.1486	−	0.353469i	−0.371208	−	0.0117692i
$903$	−6.11174	−	9.03860i	−0.203386	−	0.300786i
$904$	12.8299	+	15.5351i	0.426717	+	0.516691i
$905$	5.52315	+	2.30488i	0.183596	+	0.0766169i
$906$	−18.0737	+	4.23383i	−0.600458	+	0.140660i
$907$	29.6376	−	7.94137i	0.984100	−	0.263689i	0.269330	−	0.963048i	$-0.413198\pi$
$907$	29.6376	−	7.94137i	0.984100	−	0.263689i	0.714770	+	0.699359i	$0.246531\pi$
$908$	6.94238	+	2.34068i	0.230391	+	0.0776781i
$909$		−	18.1687i		−	0.602618i
$910$	19.8386	+	43.3343i	0.657643	+	1.43652i
$911$	−48.5071			−1.60711			−0.803557	−	0.595228i	$-0.797062\pi$
$911$	−48.5071			−1.60711			−0.803557	+	0.595228i	$0.797062\pi$
$912$	−32.3351	−	13.2378i	−1.07072	−	0.438346i
$913$	−4.40141	−	16.4263i	−0.145666	−	0.543631i
$914$	4.19012	+	17.8871i	0.138597	+	0.591653i
$915$	−23.9390	−	58.2287i	−0.791400	−	1.92498i
$916$	0.394535	−	6.21568i	0.0130358	−	0.205372i
$917$	3.86170	−	0.274497i	0.127525	−	0.00906469i
$918$	0.368235	+	0.0116750i	0.0121536	+	0.000385331i
$919$	42.4857	−	24.5291i	1.40147	−	0.809141i	0.406929	−	0.913460i	$-0.366600\pi$
$919$	42.4857	−	24.5291i	1.40147	−	0.809141i	0.994544	+	0.104319i	$0.0332664\pi$
$920$	22.1449	−	23.6651i	0.730096	−	0.780216i
$921$	−35.0105	+	60.6399i	−1.15363	+	1.99815i
$922$	−9.74183	−	18.1806i	−0.320830	−	0.598746i
$923$	−5.06824	−	5.06824i	−0.166823	−	0.166823i
$924$	4.81706	+	17.4479i	0.158470	+	0.573993i
$925$	−35.5038	+	20.2487i	−1.16736	+	0.665773i
$926$	−13.7255	+	45.4152i	−0.451047	+	1.49244i
$927$	52.9648	−	14.1919i	1.73959	−	0.466122i
$928$	25.1375	−	30.9540i	0.825180	−	1.01611i
$929$	22.3322	+	38.6805i	0.732696	+	1.26907i	0.955727	+	0.294255i	$0.0950715\pi$
$929$	22.3322	+	38.6805i	0.732696	+	1.26907i	−0.223031	+	0.974811i	$0.571595\pi$
$930$	2.97296	−	17.8280i	0.0974871	−	0.584604i
$931$	23.0292	+	9.24287i	0.754751	+	0.302923i
$932$	21.3886	+	24.2879i	0.700606	+	0.795575i
$933$	−54.7320	−	14.6654i	−1.79185	−	0.480124i
$934$	8.36119	+	35.6929i	0.273587	+	1.16791i
$935$	−3.63301	−	2.80299i	−0.118812	−	0.0916677i
$936$	46.3698	+	17.2889i	1.51564	+	0.565105i
$937$	21.5370	+	21.5370i	0.703584	+	0.703584i	0.965178	−	0.261594i	$-0.0842480\pi$
$937$	21.5370	+	21.5370i	0.703584	+	0.703584i	−0.261594	+	0.965178i	$0.584248\pi$
$938$	−22.2682	+	6.91442i	−0.727084	+	0.225764i
$939$	26.4829			0.864237
$940$	7.06076	+	20.8402i	0.230297	+	0.679731i
$941$	−5.98287	+	10.3626i	−0.195036	+	0.337812i	−0.946912	−	0.321492i	$-0.895816\pi$
$941$	−5.98287	+	10.3626i	−0.195036	+	0.337812i	0.751876	+	0.659304i	$0.229149\pi$
$942$	8.75546	−	14.1123i	0.285268	−	0.459804i
$943$	−28.1227	−	7.53546i	−0.915802	−	0.245388i
$944$	−2.66460	+	20.9051i	−0.0867254	+	0.680402i
$945$	0.0652049	−	1.04059i	0.00212112	−	0.0338503i
$946$	2.24865	+	2.39590i	0.0731098	+	0.0778975i
$947$	5.37325	−	20.0532i	0.174607	−	0.651643i	−0.822011	−	0.569471i	$-0.807148\pi$
$947$	5.37325	−	20.0532i	0.174607	−	0.651643i	0.996618	−	0.0821711i	$-0.0261854\pi$
$948$	1.97022	+	9.79939i	0.0639898	+	0.318269i
$949$	22.1064	−	38.2895i	0.717605	−	1.24293i
$950$	−5.58813	−	24.4359i	−0.181303	−	0.792805i
$951$			31.2228i			1.01247i
$952$	−3.11989	+	10.6127i	−0.101116	+	0.343961i
$953$	21.6676	+	21.6676i	0.701882	+	0.701882i	0.964814	−	0.262932i	$-0.0846896\pi$
$953$	21.6676	+	21.6676i	0.701882	+	0.701882i	−0.262932	+	0.964814i	$0.584690\pi$
$954$	−16.3995	+	54.2630i	−0.530952	+	1.75683i
$955$	3.76116	+	29.1642i	0.121708	+	0.943732i
$956$	33.0544	+	21.9879i	1.06906	+	0.711139i
$957$	−23.2910	−	6.24080i	−0.752890	−	0.201736i
$958$	−19.7541	−	0.626309i	−0.638227	−	0.0202351i
$959$	24.1366	+	4.66290i	0.779411	+	0.150573i
$960$	−41.7889	−	14.0207i	−1.34873	−	0.452515i
$961$	−12.8098	−	22.1871i	−0.413218	−	0.715714i
$962$	55.9580	+	34.7170i	1.80416	+	1.11932i
$963$	2.54633	+	9.50305i	0.0820545	+	0.306232i
$964$	−18.6798	+	9.25975i	−0.601635	+	0.298237i
$965$	51.9557	+	6.97983i	1.67251	+	0.224689i
$966$	1.85478	+	47.2098i	0.0596767	+	1.51895i
$967$	33.1427	−	33.1427i	1.06580	−	1.06580i	0.0681193	−	0.997677i	$-0.478300\pi$
$967$	33.1427	−	33.1427i	1.06580	−	1.06580i	0.997677	−	0.0681193i	$-0.0216998\pi$
$968$	10.6630	+	23.3415i	0.342721	+	0.750223i
$969$	−6.45601	+	11.1821i	−0.207397	+	0.359222i
$970$	−4.19916	+	5.09990i	−0.134827	+	0.163748i
$971$	5.84434	+	10.1227i	0.187554	+	0.324853i	0.944434	−	0.328701i	$-0.106611\pi$
$971$	5.84434	+	10.1227i	0.187554	+	0.324853i	−0.756880	+	0.653554i	$0.773277\pi$
$972$	29.2958	+	33.2670i	0.939665	+	1.06704i
$973$	−31.9916	−	15.5579i	−1.02560	−	0.498763i
$974$	26.3735	−	24.7525i	0.845062	−	0.793123i
$975$	17.8056	+	67.8847i	0.570237	+	2.17405i
$976$	27.6744	−	36.3755i	0.885837	−	1.16435i
$977$	6.69832	+	24.9985i	0.214298	+	0.799772i	0.986412	+	0.164288i	$0.0525327\pi$
$977$	6.69832	+	24.9985i	0.214298	+	0.799772i	−0.772114	+	0.635484i	$0.780801\pi$
$978$	0.526647	+	0.982851i	0.0168403	+	0.0314281i
$979$		−	15.7197i		−	0.502404i
$980$	29.7471	+	9.75253i	0.950235	+	0.311533i
$981$		−	37.9033i		−	1.21016i
$982$	38.2533	−	20.4975i	1.22071	−	0.654102i
$983$	−3.22746	−	12.0450i	−0.102940	−	0.384177i	0.895163	−	0.445738i	$-0.147059\pi$
$983$	−3.22746	−	12.0450i	−0.102940	−	0.384177i	−0.998103	+	0.0615611i	$0.980392\pi$
$984$	6.57075	+	39.0471i	0.209468	+	1.24478i
$985$	−17.8588	−	43.4394i	−0.569030	−	1.38409i
$986$	−10.0844	−	10.7448i	−0.321154	−	0.342186i
$987$	−28.8459	−	14.0281i	−0.918174	−	0.446518i
$988$	−30.3098	+	26.6916i	−0.964282	+	0.849174i
$989$	4.28836	+	7.42765i	0.136362	+	0.236186i
$990$	1.30003	+	13.4212i	0.0413176	+	0.426554i
$991$	5.58964	−	9.68155i	0.177561	−	0.307544i	−0.763484	−	0.645827i	$-0.776513\pi$
$991$	5.58964	−	9.68155i	0.177561	−	0.307544i	0.941045	+	0.338283i	$0.109846\pi$
$992$	12.2566	−	4.68528i	0.389147	−	0.148758i
$993$	19.3418	−	19.3418i	0.613792	−	0.613792i
$994$	−4.70436	+	0.184825i	−0.149213	+	0.00586230i
$995$	−45.1957	+	34.4905i	−1.43280	+	1.09342i
$996$	−54.0876	+	26.8118i	−1.71383	+	0.849563i
$997$	−6.80308	−	25.3894i	−0.215456	−	0.804092i	−0.986006	−	0.166712i	$-0.946685\pi$
$997$	−6.80308	−	25.3894i	−0.215456	−	0.804092i	0.770550	−	0.637380i	$-0.219982\pi$
$998$	−2.08605	+	3.36237i	−0.0660328	+	0.106434i
$999$	−0.720314	−	1.24762i	−0.0227897	−	0.0394730i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bv.e.213.28	yes	160
5.2	odd	4	inner	280.2.bv.e.157.7	yes	160
7.5	odd	6	inner	280.2.bv.e.173.27	yes	160
8.5	even	2	inner	280.2.bv.e.213.34	yes	160
35.12	even	12	inner	280.2.bv.e.117.34	yes	160
40.37	odd	4	inner	280.2.bv.e.157.27	yes	160
56.5	odd	6	inner	280.2.bv.e.173.7	yes	160
280.117	even	12	inner	280.2.bv.e.117.28	✓	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bv.e.117.28	✓	160	280.117	even	12	inner
280.2.bv.e.117.34	yes	160	35.12	even	12	inner
280.2.bv.e.157.7	yes	160	5.2	odd	4	inner
280.2.bv.e.157.27	yes	160	40.37	odd	4	inner
280.2.bv.e.173.7	yes	160	56.5	odd	6	inner
280.2.bv.e.173.27	yes	160	7.5	odd	6	inner
280.2.bv.e.213.28	yes	160	1.1	even	1	trivial
280.2.bv.e.213.34	yes	160	8.5	even	2	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.667940 + 1.24654i) q^{2} +(-2.38009 + 0.637742i) q^{3} +(-1.10771 + 1.66523i) q^{4} +(2.06359 + 0.861163i) q^{5} +(-2.38472 - 2.54089i) q^{6} +(-1.15709 + 2.37932i) q^{7} +(-2.81565 - 0.268532i) q^{8} +(2.66002 - 1.53576i) q^{9} +O(q^{10})\)	\(q+(0.667940 + 1.24654i) q^{2} +(-2.38009 + 0.637742i) q^{3} +(-1.10771 + 1.66523i) q^{4} +(2.06359 + 0.861163i) q^{5} +(-2.38472 - 2.54089i) q^{6} +(-1.15709 + 2.37932i) q^{7} +(-2.81565 - 0.268532i) q^{8} +(2.66002 - 1.53576i) q^{9} +(0.304883 + 3.14755i) q^{10} +(1.20225 + 0.694121i) q^{11} +(1.57446 - 4.66981i) q^{12} +(-4.02797 - 4.02797i) q^{13} +(-3.73877 + 0.146889i) q^{14} +(-5.46072 - 0.733603i) q^{15} +(-1.54595 - 3.68918i) q^{16} +(-1.42783 + 0.382586i) q^{17} +(3.69112 + 2.29001i) q^{18} +(-3.07003 + 1.77249i) q^{19} +(-3.71989 + 2.48242i) q^{20} +(1.23658 - 6.40090i) q^{21} +(-0.0622147 + 1.96229i) q^{22} +(-1.32633 + 4.94992i) q^{23} +(6.87275 - 1.15653i) q^{24} +(3.51680 + 3.55417i) q^{25} +(2.33057 - 7.71146i) q^{26} +(-0.124618 + 0.124618i) q^{27} +(-2.68038 - 4.56241i) q^{28} +7.04904 q^{29} +(-2.73297 - 7.29699i) q^{30} +(2.00882 + 1.15979i) q^{31} +(3.56610 - 4.39124i) q^{32} +(-3.30414 - 0.885341i) q^{33} +(-1.43061 - 1.52430i) q^{34} +(-4.43673 + 3.91349i) q^{35} +(-0.389142 + 6.13071i) q^{36} +(-2.11570 + 7.89589i) q^{37} +(-4.26007 - 2.64300i) q^{38} +(12.1557 + 7.01811i) q^{39} +(-5.57910 - 2.97887i) q^{40} +5.68145i q^{41} +(8.80492 - 2.73398i) q^{42} +(1.18345 - 1.18345i) q^{43} +(-2.48762 + 1.23314i) q^{44} +(6.81172 - 0.878473i) q^{45} +(-7.05617 + 1.65294i) q^{46} +(1.27344 - 4.75254i) q^{47} +(6.03224 + 7.79464i) q^{48} +(-4.32230 - 5.50615i) q^{49} +(-2.08140 + 6.75779i) q^{50} +(3.15437 - 1.82118i) q^{51} +(11.1693 - 2.24565i) q^{52} +(3.37762 + 12.6055i) q^{53} +(-0.238578 - 0.0721035i) q^{54} +(1.88321 + 2.46772i) q^{55} +(3.89688 - 6.38861i) q^{56} +(6.17656 - 6.17656i) q^{57} +(4.70834 + 8.78689i) q^{58} +(-4.56270 - 2.63428i) q^{59} +(7.27051 - 8.28071i) q^{60} +(5.71326 + 9.89566i) q^{61} +(-0.103953 + 3.27874i) q^{62} +(0.576192 + 8.10603i) q^{63} +(7.85578 + 1.51219i) q^{64} +(-4.84333 - 11.7808i) q^{65} +(-1.10336 - 4.71008i) q^{66} +(6.01940 - 1.61289i) q^{67} +(0.944532 - 2.80145i) q^{68} -12.6271i q^{69} +(-7.84179 - 2.91657i) q^{70} +1.25826 q^{71} +(-7.90208 + 3.60987i) q^{72} +(2.00883 + 7.49707i) q^{73} +(-11.2557 + 2.63669i) q^{74} +(-10.6369 - 6.21642i) q^{75} +(0.449125 - 7.07570i) q^{76} +(-3.04265 + 2.05738i) q^{77} +(-0.629039 + 19.8402i) q^{78} +(-1.75653 + 1.01413i) q^{79} +(-0.0132254 - 8.94426i) q^{80} +(-4.39016 + 7.60398i) q^{81} +(-7.08213 + 3.79487i) q^{82} +(-8.66195 - 8.66195i) q^{83} +(9.28917 + 9.14953i) q^{84} +(-3.27592 - 0.440094i) q^{85} +(2.26570 + 0.684743i) q^{86} +(-16.7773 + 4.49547i) q^{87} +(-3.19873 - 2.27725i) q^{88} +(-5.66173 - 9.80640i) q^{89} +(5.64487 + 7.90430i) q^{90} +(14.2445 - 4.92310i) q^{91} +(-6.77355 - 7.69172i) q^{92} +(-5.52082 - 1.47930i) q^{93} +(6.77481 - 1.58703i) q^{94} +(-7.86169 + 1.01388i) q^{95} +(-5.68714 + 12.7258i) q^{96} +(1.47719 + 1.47719i) q^{97} +(3.97659 - 9.06569i) q^{98} +4.26402 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Introduction

L-functions

Modular forms

Varieties

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Database

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