LMFDB - Embedded newform 930.2.bj.b.337.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(277,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 6]))

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

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

chi := DirichletCharacter("930.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bj (of order $20$, degree $8$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			337.4
Character	$\chi$	$=$	930.337
Dual form			930.2.bj.b.643.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.453990 + 0.891007i) q^{2} +(0.891007 - 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-0.354402 - 2.20780i) q^{5} +1.00000i q^{6} +(5.01200 + 0.793822i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +O(q^{10})$	\(q+(-0.453990 + 0.891007i) q^{2} +(0.891007 - 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-0.354402 - 2.20780i) q^{5} +1.00000i q^{6} +(5.01200 + 0.793822i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +(2.12806 + 0.686548i) q^{10} +(1.73984 + 2.39468i) q^{11} +(-0.891007 - 0.453990i) q^{12} +(2.91665 - 1.48611i) q^{13} +(-2.98270 + 4.10533i) q^{14} +(-1.31810 - 1.80627i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(-6.23926 + 0.988202i) q^{17} +(0.453990 + 0.891007i) q^{18} +(2.09335 - 0.680172i) q^{19} +(-1.57784 + 1.58443i) q^{20} +(4.82611 - 1.56810i) q^{21} +(-2.92354 + 0.463044i) q^{22} +(-0.400690 - 2.52986i) q^{23} +(0.809017 - 0.587785i) q^{24} +(-4.74880 + 1.56490i) q^{25} +3.27344i q^{26} +(0.156434 - 0.987688i) q^{27} +(-2.30376 - 4.52139i) q^{28} +(-0.0924401 - 0.284501i) q^{29} +(2.20780 - 0.354402i) q^{30} +(1.19266 - 5.43853i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(2.63737 + 1.34381i) q^{33} +(1.95207 - 6.00786i) q^{34} +(-0.0236572 - 11.3468i) q^{35} -1.00000 q^{36} +(-5.26888 + 5.26888i) q^{37} +(-0.344325 + 2.17398i) q^{38} +(1.92408 - 2.64827i) q^{39} +(-0.695415 - 2.12518i) q^{40} +(3.24907 + 9.99960i) q^{41} +(-0.793822 + 5.01200i) q^{42} +(-0.501118 + 0.983500i) q^{43} +(0.914686 - 2.81511i) q^{44} +(-1.99446 - 1.01100i) q^{45} +(2.43603 + 0.791514i) q^{46} +(11.2714 - 5.74306i) q^{47} +(0.156434 + 0.987688i) q^{48} +(17.8326 + 5.79415i) q^{49} +(0.761573 - 4.94166i) q^{50} +(-5.11059 + 3.71306i) q^{51} +(-2.91665 - 1.48611i) q^{52} +(-0.724157 - 4.57214i) q^{53} +(0.809017 + 0.587785i) q^{54} +(4.67038 - 4.68990i) q^{55} +5.07447 q^{56} +(1.55640 - 1.55640i) q^{57} +(0.295459 + 0.0467962i) q^{58} +(0.480740 + 0.156202i) q^{59} +(-0.686548 + 2.12806i) q^{60} -8.59453i q^{61} +(4.30430 + 3.53171i) q^{62} +(3.58819 - 3.58819i) q^{63} +(0.951057 - 0.309017i) q^{64} +(-4.31471 - 5.91272i) q^{65} +(-2.39468 + 1.73984i) q^{66} +(5.03781 + 5.03781i) q^{67} +(4.46682 + 4.46682i) q^{68} +(-1.50555 - 2.07221i) q^{69} +(10.1208 + 5.13028i) q^{70} +(-9.93374 - 7.21729i) q^{71} +(0.453990 - 0.891007i) q^{72} +(4.07666 + 0.645679i) q^{73} +(-2.30258 - 7.08663i) q^{74} +(-3.52076 + 3.55025i) q^{75} +(-1.78071 - 1.29376i) q^{76} +(6.81910 + 13.3832i) q^{77} +(1.48611 + 2.91665i) q^{78} +(-5.33462 - 3.87583i) q^{79} +(2.20926 + 0.345193i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-10.3848 - 1.64478i) q^{82} +(-6.06815 + 11.9094i) q^{83} +(-4.10533 - 2.98270i) q^{84} +(4.39296 + 13.4248i) q^{85} +(-0.648802 - 0.892999i) q^{86} +(-0.211526 - 0.211526i) q^{87} +(2.09303 + 2.09303i) q^{88} +(-6.83395 + 4.96516i) q^{89} +(1.80627 - 1.31810i) q^{90} +(15.7980 - 5.13307i) q^{91} +(-1.81118 + 1.81118i) q^{92} +(-1.40637 - 5.38722i) q^{93} +12.6502i q^{94} +(-2.24357 - 4.38066i) q^{95} +(-0.951057 - 0.309017i) q^{96} +(-2.74863 - 0.435340i) q^{97} +(-13.2584 + 13.2584i) q^{98} +2.95999 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 4 q^{7}+O(q^{10}) $ 128 * q + 4 * q^7	$ 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) $ 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{1}{10}\right)$

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 $

$2$	−0.453990	+	0.891007i	−0.321020	+	0.630037i
$2$	−0.453990	+	0.891007i	−0.321020	+	0.630037i
$3$	0.891007	−	0.453990i	0.514423	−	0.262112i
$3$	0.891007	−	0.453990i	0.514423	−	0.262112i
$4$	−0.587785	−	0.809017i	−0.293893	−	0.404508i
$5$	−0.354402	−	2.20780i	−0.158493	−	0.987360i
$5$	−0.354402	−	2.20780i	−0.158493	−	0.987360i
$6$			1.00000i			0.408248i
$7$	5.01200	+	0.793822i	1.89436	+	0.300037i	0.991521	−	0.129948i	$-0.0414810\pi$
$7$	5.01200	+	0.793822i	1.89436	+	0.300037i	0.902836	+	0.429985i	$0.141481\pi$
$8$	0.987688	−	0.156434i	0.349201	−	0.0553079i
$9$	0.587785	−	0.809017i	0.195928	−	0.269672i
$10$	2.12806	+	0.686548i	0.672953	+	0.217105i
$11$	1.73984	+	2.39468i	0.524580	+	0.722023i	0.986292	−	0.165007i	$-0.0527647\pi$
$11$	1.73984	+	2.39468i	0.524580	+	0.722023i	−0.461712	+	0.887030i	$0.652765\pi$
$12$	−0.891007	−	0.453990i	−0.257211	−	0.131056i
$13$	2.91665	−	1.48611i	0.808934	−	0.412173i	−5.21899e−5	−	1.00000i	$-0.500017\pi$
$13$	2.91665	−	1.48611i	0.808934	−	0.412173i	0.808986	+	0.587827i	$0.200017\pi$
$14$	−2.98270	+	4.10533i	−0.797160	+	1.09720i
$15$	−1.31810	−	1.80627i	−0.340331	−	0.466378i
$16$	−0.309017	+	0.951057i	−0.0772542	+	0.237764i
$17$	−6.23926	+	0.988202i	−1.51324	+	0.239674i	−0.857174	−	0.515027i	$-0.827782\pi$
$17$	−6.23926	+	0.988202i	−1.51324	+	0.239674i	−0.656069	+	0.754701i	$0.727782\pi$
$18$	0.453990	+	0.891007i	0.107007	+	0.210012i
$19$	2.09335	−	0.680172i	0.480248	−	0.156042i	−0.0588813	−	0.998265i	$-0.518753\pi$
$19$	2.09335	−	0.680172i	0.480248	−	0.156042i	0.539129	+	0.842223i	$0.318753\pi$
$20$	−1.57784	+	1.58443i	−0.352815	+	0.354290i
$21$	4.82611	−	1.56810i	1.05314	−	0.342187i
$22$	−2.92354	+	0.463044i	−0.623302	+	0.0987213i
$23$	−0.400690	−	2.52986i	−0.0835497	−	0.527512i	−0.993595	−	0.113002i	$-0.963953\pi$
$23$	−0.400690	−	2.52986i	−0.0835497	−	0.527512i	0.910045	−	0.414509i	$-0.136047\pi$
$24$	0.809017	−	0.587785i	0.165140	−	0.119981i
$25$	−4.74880	+	1.56490i	−0.949760	+	0.312980i
$26$			3.27344i			0.641974i
$27$	0.156434	−	0.987688i	0.0301058	−	0.190081i
$28$	−2.30376	−	4.52139i	−0.435370	−	0.854462i
$29$	−0.0924401	−	0.284501i	−0.0171657	−	0.0528306i	0.942107	−	0.335313i	$-0.108842\pi$
$29$	−0.0924401	−	0.284501i	−0.0171657	−	0.0528306i	−0.959272	+	0.282482i	$0.908842\pi$
$30$	2.20780	−	0.354402i	0.403088	−	0.0647046i
$31$	1.19266	−	5.43853i	0.214208	−	0.976788i
$31$	1.19266	−	5.43853i	0.214208	−	0.976788i
$32$	−0.707107	−	0.707107i	−0.125000	−	0.125000i
$33$	2.63737	+	1.34381i	0.459107	+	0.233927i
$34$	1.95207	−	6.00786i	0.334777	−	1.03034i
$35$	−0.0236572	−	11.3468i	−0.00399880	−	1.91797i
$36$	−1.00000			−0.166667
$37$	−5.26888	+	5.26888i	−0.866198	+	0.866198i	−0.992049	−	0.125851i	$-0.959834\pi$
$37$	−5.26888	+	5.26888i	−0.866198	+	0.866198i	0.125851	+	0.992049i	$0.459834\pi$
$38$	−0.344325	+	2.17398i	−0.0558569	+	0.352667i
$39$	1.92408	−	2.64827i	0.308099	−	0.424062i
$40$	−0.695415	−	2.12518i	−0.109955	−	0.336021i
$41$	3.24907	+	9.99960i	0.507419	+	1.56168i	0.796665	+	0.604421i	$0.206595\pi$
$41$	3.24907	+	9.99960i	0.507419	+	1.56168i	−0.289246	+	0.957255i	$0.593405\pi$
$42$	−0.793822	+	5.01200i	−0.122489	+	0.773368i
$43$	−0.501118	+	0.983500i	−0.0764198	+	0.149982i	−0.926055	−	0.377389i	$-0.876822\pi$
$43$	−0.501118	+	0.983500i	−0.0764198	+	0.149982i	0.849635	+	0.527371i	$0.176822\pi$
$44$	0.914686	−	2.81511i	0.137894	−	0.424394i
$45$	−1.99446	−	1.01100i	−0.297317	−	0.150711i
$46$	2.43603	+	0.791514i	0.359173	+	0.116702i
$47$	11.2714	−	5.74306i	1.64410	−	0.837711i	0.646929	−	0.762550i	$-0.276053\pi$
$47$	11.2714	−	5.74306i	1.64410	−	0.837711i	0.997171	−	0.0751608i	$-0.0239470\pi$
$48$	0.156434	+	0.987688i	0.0225794	+	0.142561i
$49$	17.8326	+	5.79415i	2.54751	+	0.827736i
$50$	0.761573	−	4.94166i	0.107703	−	0.698856i
$51$	−5.11059	+	3.71306i	−0.715626	+	0.519932i
$52$	−2.91665	−	1.48611i	−0.404467	−	0.206086i
$53$	−0.724157	−	4.57214i	−0.0994706	−	0.628032i	−0.986176	−	0.165698i	$-0.947012\pi$
$53$	−0.724157	−	4.57214i	−0.0994706	−	0.628032i	0.886706	−	0.462334i	$-0.152988\pi$
$54$	0.809017	+	0.587785i	0.110093	+	0.0799874i
$55$	4.67038	−	4.68990i	0.629754	−	0.632386i
$56$	5.07447			0.678105
$57$	1.55640	−	1.55640i	0.206150	−	0.206150i
$58$	0.295459	+	0.0467962i	0.0387957	+	0.00614464i
$59$	0.480740	+	0.156202i	0.0625870	+	0.0203358i	0.340143	−	0.940374i	$-0.389524\pi$
$59$	0.480740	+	0.156202i	0.0625870	+	0.0203358i	−0.277556	+	0.960709i	$0.589524\pi$
$60$	−0.686548	+	2.12806i	−0.0886329	+	0.274732i
$61$		−	8.59453i		−	1.10042i	−0.835027	−	0.550208i	$-0.814548\pi$
$61$		−	8.59453i		−	1.10042i	0.835027	−	0.550208i	$-0.185452\pi$
$62$	4.30430	+	3.53171i	0.546647	+	0.448527i
$63$	3.58819	−	3.58819i	0.452070	−	0.452070i
$64$	0.951057	−	0.309017i	0.118882	−	0.0386271i
$65$	−4.31471	−	5.91272i	−0.535173	−	0.733383i
$66$	−2.39468	+	1.73984i	−0.294765	+	0.214159i
$67$	5.03781	+	5.03781i	0.615466	+	0.615466i	0.944365	−	0.328899i	$-0.106677\pi$
$67$	5.03781	+	5.03781i	0.615466	+	0.615466i	−0.328899	+	0.944365i	$0.606677\pi$
$68$	4.46682	+	4.46682i	0.541681	+	0.541681i
$69$	−1.50555	−	2.07221i	−0.181247	−	0.249465i
$70$	10.1208	+	5.13028i	1.20967	+	0.613186i
$71$	−9.93374	−	7.21729i	−1.17892	−	0.856534i	−0.186869	−	0.982385i	$-0.559834\pi$
$71$	−9.93374	−	7.21729i	−1.17892	−	0.856534i	−0.992049	+	0.125851i	$0.959834\pi$
$72$	0.453990	−	0.891007i	0.0535033	−	0.105006i
$73$	4.07666	+	0.645679i	0.477137	+	0.0755710i	0.390371	−	0.920658i	$-0.372347\pi$
$73$	4.07666	+	0.645679i	0.477137	+	0.0755710i	0.0867658	+	0.996229i	$0.472347\pi$
$74$	−2.30258	−	7.08663i	−0.267670	−	0.823804i
$75$	−3.52076	+	3.55025i	−0.406542	+	0.409947i
$76$	−1.78071	−	1.29376i	−0.204262	−	0.148405i
$77$	6.81910	+	13.3832i	0.777109	+	1.52516i
$78$	1.48611	+	2.91665i	0.168269	+	0.330246i
$79$	−5.33462	−	3.87583i	−0.600191	−	0.436064i	0.245756	−	0.969332i	$-0.420964\pi$
$79$	−5.33462	−	3.87583i	−0.600191	−	0.436064i	−0.845947	+	0.533267i	$0.820964\pi$
$80$	2.20926	+	0.345193i	0.247003	+	0.0385937i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	−10.3848	−	1.64478i	−1.14680	−	0.181636i
$83$	−6.06815	+	11.9094i	−0.666066	+	1.30723i	0.272510	+	0.962153i	$0.412146\pi$
$83$	−6.06815	+	11.9094i	−0.666066	+	1.30723i	−0.938575	+	0.345074i	$0.887854\pi$
$84$	−4.10533	−	2.98270i	−0.447929	−	0.325439i
$85$	4.39296	+	13.4248i	0.476484	+	1.45613i
$86$	−0.648802	−	0.892999i	−0.0699621	−	0.0962946i
$87$	−0.211526	−	0.211526i	−0.0226779	−	0.0226779i
$88$	2.09303	+	2.09303i	0.223117	+	0.223117i
$89$	−6.83395	+	4.96516i	−0.724398	+	0.526306i	−0.887786	−	0.460256i	$-0.847758\pi$
$89$	−6.83395	+	4.96516i	−0.724398	+	0.526306i	0.163389	+	0.986562i	$0.447758\pi$
$90$	1.80627	−	1.31810i	0.190398	−	0.138940i
$91$	15.7980	−	5.13307i	1.65608	−	0.538092i
$92$	−1.81118	+	1.81118i	−0.188828	+	0.188828i
$93$	−1.40637	−	5.38722i	−0.145834	−	0.558629i
$94$			12.6502i			1.30477i
$95$	−2.24357	−	4.38066i	−0.230186	−	0.449446i
$96$	−0.951057	−	0.309017i	−0.0970668	−	0.0315389i
$97$	−2.74863	−	0.435340i	−0.279081	−	0.0442021i	0.0153248	−	0.999883i	$-0.495122\pi$
$97$	−2.74863	−	0.435340i	−0.279081	−	0.0442021i	−0.294406	+	0.955680i	$0.595122\pi$
$98$	−13.2584	+	13.2584i	−1.33931	+	1.33931i
$99$	2.95999			0.297490
$100$	4.05730	+	2.92203i	0.405730	+	0.292203i
$101$	−6.65920	−	4.83819i	−0.662615	−	0.481418i	0.204930	−	0.978777i	$-0.434303\pi$
$101$	−6.65920	−	4.83819i	−0.662615	−	0.481418i	−0.867545	+	0.497359i	$0.834303\pi$
$102$	−0.988202	−	6.23926i	−0.0978466	−	0.617779i
$103$	7.78948	+	3.96894i	0.767521	+	0.391071i	0.793484	−	0.608592i	$-0.208265\pi$
$103$	7.78948	+	3.96894i	0.767521	+	0.391071i	−0.0259629	+	0.999663i	$0.508265\pi$
$104$	2.64827	−	1.92408i	0.259684	−	0.188671i
$105$	−5.17244	−	10.0994i	−0.504778	−	0.985598i
$106$	4.40257	+	1.43048i	0.427615	+	0.138941i
$107$	0.356118	+	2.24844i	0.0344273	+	0.217365i	0.998904	−	0.0468019i	$-0.0149030\pi$
$107$	0.356118	+	2.24844i	0.0344273	+	0.217365i	−0.964477	+	0.264167i	$0.914903\pi$
$108$	−0.891007	+	0.453990i	−0.0857371	+	0.0436853i
$109$	−14.7082	−	4.77900i	−1.40879	−	0.457745i	−0.496770	−	0.867882i	$-0.665481\pi$
$109$	−14.7082	−	4.77900i	−1.40879	−	0.457745i	−0.912024	+	0.410137i	$0.865481\pi$
$110$	2.05842	+	6.29051i	0.196263	+	0.599776i
$111$	−2.30258	+	7.08663i	−0.218552	+	0.672633i
$112$	−2.30376	+	4.52139i	−0.217685	+	0.427231i
$113$	2.79386	−	17.6397i	0.262824	−	1.65940i	−0.404427	−	0.914570i	$-0.632529\pi$
$113$	2.79386	−	17.6397i	0.262824	−	1.65940i	0.667250	−	0.744834i	$-0.267471\pi$
$114$	0.680172	+	2.09335i	0.0637039	+	0.196061i
$115$	−5.44343	+	1.78123i	−0.507602	+	0.166101i
$116$	−0.175832	+	0.242011i	−0.0163255	+	0.0224702i
$117$	0.512078	−	3.23314i	0.0473417	−	0.298903i
$118$	−0.357428	+	0.357428i	−0.0329040	+	0.0329040i
$119$	−32.0556			−2.93853
$120$	−1.58443	−	1.57784i	−0.144638	−	0.144036i
$121$	0.691729	−	2.12892i	0.0628845	−	0.193538i
$122$	7.65778	+	3.90183i	0.693303	+	0.353256i
$123$	7.43466	+	7.43466i	0.670361	+	0.670361i
$124$	−5.10089	+	2.23180i	−0.458073	+	0.200422i
$125$	5.13798	+	9.92981i	0.459555	+	0.888150i
$126$	1.56810	+	4.82611i	0.139697	+	0.429944i
$127$	6.32433	+	12.4122i	0.561194	+	1.10140i	0.981039	+	0.193809i	$0.0620842\pi$
$127$	6.32433	+	12.4122i	0.561194	+	1.10140i	−0.419846	+	0.907596i	$0.637916\pi$
$128$	−0.156434	+	0.987688i	−0.0138270	+	0.0873001i
$129$			1.10381i			0.0971849i
$130$	7.22711	−	1.16011i	0.633859	−	0.101749i
$131$	4.26015	−	3.09518i	0.372211	−	0.270427i	−0.385916	−	0.922534i	$-0.626115\pi$
$131$	4.26015	−	3.09518i	0.372211	−	0.270427i	0.758127	+	0.652107i	$0.226115\pi$
$132$	−0.463044	−	2.92354i	−0.0403028	−	0.254462i
$133$	11.0318	−	1.74727i	0.956580	−	0.151507i
$134$	−6.77584	+	2.20160i	−0.585343	+	0.190190i
$135$	−2.23606	+	0.00466201i	−0.192450	+	0.000401242i
$136$	−6.00786	+	1.95207i	−0.515170	+	0.167389i
$137$	−3.92325	−	7.69982i	−0.335186	−	0.657840i	0.660479	−	0.750844i	$-0.270353\pi$
$137$	−3.92325	−	7.69982i	−0.335186	−	0.657840i	−0.995666	+	0.0930041i	$0.970353\pi$
$138$	2.52986	−	0.400690i	0.215356	−	0.0341090i
$139$	−4.46482	+	13.7413i	−0.378701	+	1.16552i	0.562247	+	0.826969i	$0.309937\pi$
$139$	−4.46482	+	13.7413i	−0.378701	+	1.16552i	−0.940948	+	0.338552i	$0.890063\pi$
$140$	−9.16588	+	6.68865i	−0.774658	+	0.565294i
$141$	7.43558	−	10.2342i	0.626189	−	0.861875i
$142$	10.9405	−	5.57445i	0.918104	−	0.467797i
$143$	8.63325	+	4.39886i	0.721949	+	0.367851i
$144$	0.587785	+	0.809017i	0.0489821	+	0.0674181i
$145$	−0.595362	+	0.304917i	−0.0494422	+	0.0253220i
$146$	−2.42607	+	3.33920i	−0.200783	+	0.276354i
$147$	18.5194	−	2.93319i	1.52746	−	0.241925i
$148$	7.35958	+	1.16564i	0.604954	+	0.0958153i
$149$			20.0774i			1.64480i	0.568907	+	0.822402i	$0.307366\pi$
$149$			20.0774i			1.64480i	−0.568907	+	0.822402i	$0.692634\pi$
$150$	−1.56490	−	4.74880i	−0.127774	−	0.387738i
$151$	−1.26688	−	1.74372i	−0.103098	−	0.141902i	0.754351	−	0.656471i	$-0.227952\pi$
$151$	−1.26688	−	1.74372i	−0.103098	−	0.141902i	−0.857449	+	0.514570i	$0.827952\pi$
$152$	1.96118	−	0.999270i	0.159073	−	0.0810515i
$153$	−2.86787	+	5.62852i	−0.231854	+	0.455039i
$154$	−15.0204			−1.21038
$155$	−12.4299	−	0.705738i	−0.998392	−	0.0566863i
$156$	−3.27344			−0.262085
$157$	1.16286	−	2.28224i	0.0928064	−	0.182143i	−0.839937	−	0.542684i	$-0.817408\pi$
$157$	1.16286	−	2.28224i	0.0928064	−	0.182143i	0.932743	+	0.360541i	$0.117408\pi$
$158$	5.87525	−	2.99359i	0.467410	−	0.238157i
$159$	−2.72094	−	3.74505i	−0.215784	−	0.297002i
$160$	−1.31055	+	1.81175i	−0.103608	+	0.143232i
$161$		−	12.9977i		−	1.02436i
$162$	0.987688	+	0.156434i	0.0776001	+	0.0122907i
$163$	−2.77204	+	0.439048i	−0.217123	+	0.0343889i	−0.264048	−	0.964510i	$-0.585058\pi$
$163$	−2.77204	+	0.439048i	−0.217123	+	0.0343889i	0.0469253	+	0.998898i	$0.485058\pi$
$164$	6.18009	−	8.50617i	0.482584	−	0.664220i
$165$	2.03217	−	6.29904i	0.158204	−	0.490379i
$166$	−7.85648	−	10.8135i	−0.609781	−	0.839292i
$167$	−9.35443	−	4.76632i	−0.723867	−	0.368829i	0.0529141	−	0.998599i	$-0.483149\pi$
$167$	−9.35443	−	4.76632i	−0.723867	−	0.368829i	−0.776782	+	0.629770i	$0.783149\pi$
$168$	4.52139	−	2.30376i	0.348833	−	0.177739i
$169$	−1.34286	+	1.84829i	−0.103297	+	0.142176i
$170$	−13.9560	−	2.18059i	−1.07038	−	0.167244i
$171$	0.680172	−	2.09335i	0.0520140	−	0.160083i
$172$	1.09022	−	0.172674i	0.0831284	−	0.0131662i
$173$	3.91578	+	7.68515i	0.297711	+	0.584291i	0.990606	−	0.136748i	$-0.0436650\pi$
$173$	3.91578	+	7.68515i	0.297711	+	0.584291i	−0.692895	+	0.721039i	$0.743665\pi$
$174$	0.284501	−	0.0924401i	0.0215680	−	0.00700787i
$175$	−25.0432	+	4.07357i	−1.89309	+	0.307933i
$176$	−2.81511	+	0.914686i	−0.212197	+	0.0689471i
$177$	0.499257	−	0.0790745i	0.0375264	−	0.00594361i
$178$	−1.32144	−	8.34323i	−0.0990460	−	0.625352i
$179$	−3.10625	+	2.25682i	−0.232172	+	0.168683i	−0.697789	−	0.716304i	$-0.745833\pi$
$179$	−3.10625	+	2.25682i	−0.232172	+	0.168683i	0.465617	+	0.884986i	$0.345833\pi$
$180$	0.354402	+	2.20780i	0.0264156	+	0.164560i
$181$		−	16.4511i		−	1.22280i	−0.791322	−	0.611399i	$-0.790607\pi$
$181$		−	16.4511i		−	1.22280i	0.791322	−	0.611399i	$-0.209393\pi$
$182$	−2.59853	+	16.4065i	−0.192616	+	1.21613i
$183$	−3.90183	−	7.65778i	−0.288432	−	0.566080i
$184$	−0.791514	−	2.43603i	−0.0583512	−	0.179586i
$185$	13.5000	+	9.76535i	0.992536	+	0.717963i
$186$	5.43853	+	1.19266i	0.398772	+	0.0874502i
$187$	−13.2217	−	13.2217i	−0.966868	−	0.966868i
$188$	−11.2714	−	5.74306i	−0.822050	−	0.418856i
$189$	1.56810	−	4.82611i	0.114062	−	0.351048i
$190$	4.92176	−	0.0102615i	0.357062	−	0.000744445i
$191$	16.3354			1.18199			0.590994	−	0.806676i	$-0.298736\pi$
$191$	16.3354			1.18199			0.590994	+	0.806676i	$0.298736\pi$
$192$	0.707107	−	0.707107i	0.0510310	−	0.0510310i
$193$	−4.21760	+	26.6289i	−0.303589	+	1.91679i	0.0869733	+	0.996211i	$0.472281\pi$
$193$	−4.21760	+	26.6289i	−0.303589	+	1.91679i	−0.390563	+	0.920576i	$0.627719\pi$
$194$	1.63574	−	2.25141i	0.117440	−	0.161642i
$195$	−6.52875	−	3.30944i	−0.467533	−	0.236994i
$196$	−5.79415	−	17.8326i	−0.413868	−	1.27375i
$197$	−0.870410	+	5.49555i	−0.0620141	+	0.391542i	0.937085	+	0.349102i	$0.113513\pi$
$197$	−0.870410	+	5.49555i	−0.0620141	+	0.391542i	−0.999099	+	0.0424402i	$0.986487\pi$
$198$	−1.34381	+	2.63737i	−0.0955001	+	0.187430i
$199$	1.05928	−	3.26014i	0.0750906	−	0.231105i	−0.906465	−	0.422280i	$-0.861230\pi$
$199$	1.05928	−	3.26014i	0.0750906	−	0.231105i	0.981556	+	0.191175i	$0.0612298\pi$
$200$	−4.44553	+	2.28851i	−0.314346	+	0.161822i
$201$	6.77584	+	2.20160i	0.477931	+	0.155289i
$202$	7.33407	−	3.73690i	0.516023	−	0.262927i
$203$	−0.237466	−	1.49930i	−0.0166668	−	0.105230i
$204$	6.00786	+	1.95207i	0.420634	+	0.136672i
$205$	20.9257	−	10.7172i	1.46151	−	0.748521i
$206$	−7.07270	+	5.13862i	−0.492779	+	0.358025i
$207$	−2.28222	−	1.16285i	−0.158625	−	0.0808235i
$208$	0.512078	+	3.23314i	0.0355062	+	0.224178i
$209$	5.27089	+	3.82952i	0.364595	+	0.264894i
$210$	11.3468	−	0.0236572i	0.783006	−	0.00163250i
$211$	−8.05389			−0.554453			−0.277226	−	0.960805i	$-0.589415\pi$
$211$	−8.05389			−0.554453			−0.277226	+	0.960805i	$0.589415\pi$
$212$	−3.27329	+	3.27329i	−0.224811	+	0.224811i
$213$	−12.1276	−	1.92082i	−0.830970	−	0.131613i
$214$	−2.16505	−	0.703468i	−0.148000	−	0.0480881i
$215$	2.34897	+	0.757817i	0.160199	+	0.0516827i
$216$		−	1.00000i		−	0.0680414i
$217$	10.2948	−	26.3111i	0.698859	−	1.78611i
$218$	10.9355	−	10.9355i	0.740647	−	0.740647i
$219$	3.92546	−	1.27546i	0.265258	−	0.0861876i
$220$	−6.53939	−	1.02177i	−0.440885	−	0.0688874i
$221$	−16.7292	+	12.1545i	−1.12533	+	0.817598i
$222$	−5.26888	−	5.26888i	−0.353624	−	0.353624i
$223$	11.7148	+	11.7148i	0.784482	+	0.784482i	0.980584	−	0.196102i	$-0.0628282\pi$
$223$	11.7148	+	11.7148i	0.784482	+	0.784482i	−0.196102	+	0.980584i	$0.562828\pi$
$224$	−2.98270	−	4.10533i	−0.199290	−	0.274299i
$225$	−1.52524	+	4.76168i	−0.101683	+	0.317446i
$226$	14.4487	+	10.4976i	0.961114	+	0.698290i
$227$	−10.3949	+	20.4012i	−0.689937	+	1.35408i	0.234265	+	0.972173i	$0.424732\pi$
$227$	−10.3949	+	20.4012i	−0.689937	+	1.35408i	−0.924202	+	0.381904i	$0.875268\pi$
$228$	−2.17398	−	0.344325i	−0.143976	−	0.0228035i
$229$	0.965881	+	2.97268i	0.0638272	+	0.196440i	0.977885	−	0.209145i	$-0.0670679\pi$
$229$	0.965881	+	2.97268i	0.0638272	+	0.196440i	−0.914057	+	0.405585i	$0.867068\pi$
$230$	0.884174	−	5.65879i	0.0583007	−	0.373130i
$231$	12.1517	+	8.82875i	0.799525	+	0.580889i
$232$	−0.135808	−	0.266538i	−0.00891622	−	0.0174991i
$233$	3.12686	+	6.13681i	0.204847	+	0.402036i	0.970459	−	0.241268i	$-0.0775633\pi$
$233$	3.12686	+	6.13681i	0.204847	+	0.402036i	−0.765611	+	0.643304i	$0.777563\pi$
$234$	2.64827	+	1.92408i	0.173123	+	0.125781i
$235$	−16.6741	−	22.8497i	−1.08770	−	1.49055i
$236$	−0.156202	−	0.480740i	−0.0101679	−	0.0312935i
$237$	−6.51277	−	1.03152i	−0.423050	−	0.0670045i
$238$	14.5529	−	28.5618i	0.943328	−	1.85138i
$239$	−5.96337	−	4.33264i	−0.385738	−	0.280255i	0.377969	−	0.925818i	$-0.376623\pi$
$239$	−5.96337	−	4.33264i	−0.385738	−	0.280255i	−0.763707	+	0.645563i	$0.776623\pi$
$240$	2.12518	−	0.695415i	0.137180	−	0.0448889i
$241$	−14.8520	−	20.4421i	−0.956704	−	1.31679i	−0.948485	−	0.316823i	$-0.897384\pi$
$241$	−14.8520	−	20.4421i	−0.956704	−	1.31679i	−0.00821898	−	0.999966i	$-0.502616\pi$
$242$	1.58285	+	1.58285i	0.101749	+	0.101749i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	−6.95312	+	5.05174i	−0.445128	+	0.323404i
$245$	6.47246	−	41.4243i	0.413510	−	2.64650i
$246$	−9.99960	+	3.24907i	−0.637551	+	0.207153i
$247$	5.09478	−	5.09478i	0.324173	−	0.324173i
$248$	0.327205	−	5.55814i	0.0207775	−	0.352942i
$249$			13.3662i			0.847051i
$250$	−11.1801	+	0.0699298i	−0.707093	+	0.00442275i
$251$	−12.7330	−	4.13720i	−0.803699	−	0.261138i	−0.121772	−	0.992558i	$-0.538858\pi$
$251$	−12.7330	−	4.13720i	−0.803699	−	0.261138i	−0.681927	+	0.731420i	$0.738858\pi$
$252$	−5.01200	−	0.793822i	−0.315726	−	0.0500061i
$253$	5.36106	−	5.36106i	0.337047	−	0.337047i
$254$	−13.9305			−0.874080
$255$	10.0089	+	9.96726i	0.626782	+	0.624174i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	1.56450	+	9.87784i	0.0975906	+	0.616163i	0.987206	+	0.159452i	$0.0509727\pi$
$257$	1.56450	+	9.87784i	0.0975906	+	0.616163i	−0.889615	+	0.456711i	$0.849027\pi$
$258$	−0.983500	−	0.501118i	−0.0612300	−	0.0311983i
$259$	−30.5902	+	22.2251i	−1.90078	+	1.38100i
$260$	−2.24737	+	6.96608i	−0.139376	+	0.432018i
$261$	−0.284501	−	0.0924401i	−0.0176102	−	0.00572190i
$262$	0.823759	+	5.20101i	0.0508920	+	0.321319i
$263$	−15.1059	+	7.69683i	−0.931468	+	0.474607i	−0.852767	−	0.522291i	$-0.825077\pi$
$263$	−15.1059	+	7.69683i	−0.931468	+	0.474607i	−0.0787013	+	0.996898i	$0.525077\pi$
$264$	2.81511	+	0.914686i	0.173258	+	0.0562950i
$265$	−9.83776	+	3.21917i	−0.604329	+	0.197752i
$266$	−3.45151	+	10.6227i	−0.211626	+	0.651317i
$267$	−3.83496	+	7.52654i	−0.234696	+	0.460617i
$268$	1.11452	−	7.03682i	0.0680804	−	0.429842i
$269$	−5.55706	−	17.1029i	−0.338820	−	1.04278i	−0.964810	−	0.262949i	$-0.915305\pi$
$269$	−5.55706	−	17.1029i	−0.338820	−	1.04278i	0.625990	−	0.779831i	$-0.284695\pi$
$270$	1.01100	−	1.99446i	0.0615274	−	0.121379i
$271$	−3.64344	+	5.01476i	−0.221323	+	0.304625i	−0.905211	−	0.424962i	$-0.860288\pi$
$271$	−3.64344	+	5.01476i	−0.221323	+	0.304625i	0.683888	+	0.729587i	$0.260288\pi$
$272$	0.988202	−	6.23926i	0.0599185	−	0.378311i
$273$	11.7457	−	11.7457i	0.710884	−	0.710884i
$274$	8.64171			0.522065
$275$	−12.0096	−	8.64918i	−0.724204	−	0.521565i
$276$	−0.791514	+	2.43603i	−0.0476435	+	0.146632i
$277$	−7.03958	−	3.58685i	−0.422967	−	0.215513i	0.229533	−	0.973301i	$-0.426280\pi$
$277$	−7.03958	−	3.58685i	−0.422967	−	0.215513i	−0.652501	+	0.757788i	$0.726280\pi$
$278$	−10.2166	−	10.2166i	−0.612751	−	0.612751i
$279$	−3.69883	−	4.16157i	−0.221443	−	0.249147i
$280$	−1.79840	−	11.2034i	−0.107475	−	0.669534i
$281$	1.59351	+	4.90433i	0.0950611	+	0.292568i	0.987270	−	0.159056i	$-0.0508450\pi$
$281$	1.59351	+	4.90433i	0.0950611	+	0.292568i	−0.892209	+	0.451624i	$0.850845\pi$
$282$	5.74306	+	11.2714i	0.341994	+	0.671201i
$283$	−0.549183	+	3.46741i	−0.0326455	+	0.206116i	−0.998620	−	0.0525226i	$-0.983274\pi$
$283$	−0.549183	+	3.46741i	−0.0326455	+	0.206116i	0.965974	+	0.258638i	$0.0832738\pi$
$284$			12.2788i			0.728611i
$285$	−3.98782	−	2.88464i	−0.236218	−	0.170871i
$286$	−7.83883	+	5.69524i	−0.463520	+	0.336767i
$287$	8.34641	+	52.6972i	0.492673	+	3.11062i
$288$	−0.987688	+	0.156434i	−0.0582001	+	0.00921799i
$289$	21.7839	−	7.07801i	1.28141	−	0.416354i
$290$	−0.00139461	−	0.668901i	−8.18940e−5	−	0.0392792i
$291$	−2.64669	+	0.859961i	−0.155152	+	0.0504118i
$292$	−1.87383	−	3.67761i	−0.109658	−	0.215216i
$293$	1.53128	−	0.242531i	0.0894582	−	0.0141688i	−0.111545	−	0.993759i	$-0.535580\pi$
$293$	1.53128	−	0.242531i	0.0894582	−	0.0141688i	0.201003	+	0.979591i	$0.435580\pi$
$294$	−5.79415	+	17.8326i	−0.337922	+	1.04002i
$295$	0.174488	−	1.11674i	0.0101591	−	0.0650190i
$296$	−4.37978	+	6.02824i	−0.254569	+	0.350385i
$297$	2.63737	−	1.34381i	0.153036	−	0.0779755i
$298$	−17.8891	−	9.11494i	−1.03629	−	0.528014i
$299$	−4.92832	−	6.78325i	−0.285012	−	0.392285i
$300$	4.94166	+	0.761573i	0.285307	+	0.0439694i
$301$	−3.29233	+	4.53150i	−0.189767	+	0.261191i
$302$	2.12882	−	0.337171i	0.122500	−	0.0194020i
$303$	−8.12988	−	1.28765i	−0.467049	−	0.0739734i
$304$			2.20108i			0.126241i
$305$	−18.9750	+	3.04592i	−1.08651	+	0.174409i
$306$	−3.71306	−	5.11059i	−0.212262	−	0.292153i
$307$	−27.4749	+	13.9991i	−1.56807	+	0.798973i	−0.999717	−	0.0238098i	$-0.992420\pi$
$307$	−27.4749	+	13.9991i	−1.56807	+	0.798973i	−0.568356	+	0.822783i	$0.692420\pi$
$308$	6.81910	−	13.3832i	0.388555	−	0.762581i
$309$	8.74234			0.497335
$310$	6.27187	−	10.7547i	0.356218	−	0.610826i
$311$	−16.3030			−0.924460			−0.462230	−	0.886760i	$-0.652951\pi$
$311$	−16.3030			−0.924460			−0.462230	+	0.886760i	$0.652951\pi$
$312$	1.48611	−	2.91665i	0.0841344	−	0.165123i
$313$	−4.91750	+	2.50559i	−0.277954	+	0.141625i	−0.587411	−	0.809289i	$-0.699853\pi$
$313$	−4.91750	+	2.50559i	−0.277954	+	0.141625i	0.309457	+	0.950913i	$0.399853\pi$
$314$	1.50557	+	2.07223i	0.0849640	+	0.116943i
$315$	−9.19369	−	6.65037i	−0.518006	−	0.374706i
$316$			6.59395i			0.370939i
$317$	3.06867	+	0.486029i	0.172354	+	0.0272981i	0.242015	−	0.970273i	$-0.422192\pi$
$317$	3.06867	+	0.486029i	0.172354	+	0.0272981i	−0.0696611	+	0.997571i	$0.522192\pi$
$318$	4.57214	−	0.724157i	0.256393	−	0.0406087i
$319$	0.520459	−	0.716350i	0.0291401	−	0.0401079i
$320$	−1.01931	−	1.99023i	−0.0569809	−	0.111257i
$321$	1.33808	+	1.84170i	0.0746841	+	0.102794i
$322$	11.5811	+	5.90084i	0.645387	+	0.328841i
$323$	−12.3888	+	6.31243i	−0.689333	+	0.351233i
$324$	−0.587785	+	0.809017i	−0.0326547	+	0.0449454i
$325$	−11.5250	+	11.6215i	−0.639291	+	0.644645i
$326$	0.867285	−	2.66923i	0.0480344	−	0.147835i
$327$	−15.2748	+	2.41928i	−0.844696	+	0.133787i
$328$	4.77335	+	9.36822i	0.263564	+	0.517274i
$329$	61.0511	−	19.8367i	3.36586	−	1.09363i
$330$	4.68990	+	4.67038i	0.258170	+	0.257096i
$331$	−20.0492	+	6.51439i	−1.10201	+	0.358063i	−0.802874	−	0.596149i	$-0.796697\pi$
$331$	−20.0492	+	6.51439i	−1.10201	+	0.358063i	−0.299131	+	0.954212i	$0.596697\pi$
$332$	13.2017	−	2.09094i	0.724536	−	0.114755i
$333$	1.16564	+	7.35958i	0.0638769	+	0.403303i
$334$	8.49364	−	6.17099i	0.464752	−	0.337662i
$335$	9.33709	−	12.9079i	0.510140	−	0.705234i
$336$			5.07447i			0.276835i
$337$	−2.49394	+	15.7461i	−0.135854	+	0.857746i	0.821790	+	0.569790i	$0.192976\pi$
$337$	−2.49394	+	15.7461i	−0.135854	+	0.857746i	−0.957644	+	0.287955i	$0.907024\pi$
$338$	−1.03719	−	2.03560i	−0.0564158	−	0.110722i
$339$	−5.51892	−	16.9855i	−0.299746	−	0.922525i
$340$	8.27881	−	11.4449i	0.448982	−	0.620687i
$341$	15.0986	−	6.60610i	0.817633	−	0.357741i
$342$	1.55640	+	1.55640i	0.0841605	+	0.0841605i
$343$	53.1275	+	27.0698i	2.86862	+	1.46163i
$344$	−0.341095	+	1.04978i	−0.0183906	+	0.0566005i
$345$	−4.04147	+	4.05835i	−0.217585	+	0.218494i
$346$	−8.62524			−0.463696
$347$	22.3391	−	22.3391i	1.19922	−	1.19922i	0.224824	−	0.974399i	$-0.427819\pi$
$347$	22.3391	−	22.3391i	1.19922	−	1.19922i	0.974399	−	0.224824i	$-0.0721807\pi$
$348$	−0.0467962	+	0.295459i	−0.00250854	+	0.0158383i
$349$	−21.3859	+	29.4351i	−1.14476	+	1.57563i	−0.388370	+	0.921503i	$0.626962\pi$
$349$	−21.3859	+	29.4351i	−1.14476	+	1.57563i	−0.756389	+	0.654122i	$0.773038\pi$
$350$	7.73980	−	24.1630i	0.413710	−	1.29157i
$351$	−1.01155	−	3.11322i	−0.0539924	−	0.166172i
$352$	0.463044	−	2.92354i	0.0246803	−	0.155825i
$353$	−8.94267	+	17.5510i	−0.475970	+	0.934145i	0.520788	+	0.853686i	$0.325638\pi$
$353$	−8.94267	+	17.5510i	−0.475970	+	0.934145i	−0.996758	+	0.0804583i	$0.974362\pi$
$354$	−0.156202	+	0.480740i	−0.00830204	+	0.0255511i
$355$	−12.4138	+	24.4896i	−0.658857	+	1.29977i
$356$	8.03379	+	2.61034i	0.425790	+	0.138348i
$357$	−28.5618	+	14.5529i	−1.51165	+	0.770224i
$358$	−0.600635	−	3.79226i	−0.0317446	−	0.200427i
$359$	18.5117	+	6.01481i	0.977010	+	0.317450i	0.753642	−	0.657285i	$-0.228295\pi$
$359$	18.5117	+	6.01481i	0.977010	+	0.317450i	0.223367	+	0.974734i	$0.428295\pi$
$360$	−2.12806	−	0.686548i	−0.112159	−	0.0361842i
$361$	−11.4518	+	8.32024i	−0.602728	+	0.437907i
$362$	14.6580	+	7.46863i	0.770408	+	0.392542i
$363$	−0.350176	−	2.21092i	−0.0183795	−	0.116043i
$364$	−13.4386	−	9.76368i	−0.704372	−	0.511756i
$365$	−0.0192423	−	9.22929i	−0.00100719	−	0.483083i
$366$	8.59453			0.449243
$367$	10.6749	−	10.6749i	0.557227	−	0.557227i	−0.371290	−	0.928517i	$-0.621085\pi$
$367$	10.6749	−	10.6749i	0.557227	−	0.557227i	0.928517	+	0.371290i	$0.121085\pi$
$368$	2.52986	+	0.400690i	0.131878	+	0.0208874i
$369$	9.99960	+	3.24907i	0.520558	+	0.169140i
$370$	−14.8298	+	7.59517i	−0.770967	+	0.394854i
$371$		−	23.4904i		−	1.21956i
$372$	−3.53171	+	4.30430i	−0.183111	+	0.223168i
$373$	4.26623	−	4.26623i	0.220897	−	0.220897i	−0.587979	−	0.808876i	$-0.700076\pi$
$373$	4.26623	−	4.26623i	0.220897	−	0.220897i	0.808876	+	0.587979i	$0.200076\pi$
$374$	17.7832	−	5.77810i	0.919546	−	0.298779i
$375$	9.08601	+	6.51494i	0.469200	+	0.336430i
$376$	10.2342	−	7.43558i	0.527789	−	0.383461i
$377$	−0.692416	−	0.692416i	−0.0356612	−	0.0356612i
$378$	3.58819	+	3.58819i	0.184557	+	0.184557i
$379$	−17.4551	−	24.0248i	−0.896606	−	1.23407i	−0.971538	−	0.236884i	$-0.923874\pi$
$379$	−17.4551	−	24.0248i	−0.896606	−	1.23407i	0.0749315	−	0.997189i	$-0.476126\pi$
$380$	−2.22529	+	4.38998i	−0.114155	+	0.225201i
$381$	11.2700	+	8.18817i	0.577382	+	0.419492i
$382$	−7.41611	+	14.5549i	−0.379441	+	0.744695i
$383$	32.4963	+	5.14691i	1.66048	+	0.262995i	0.914978	−	0.403505i	$-0.132208\pi$
$383$	32.4963	+	5.14691i	1.66048	+	0.262995i	0.745506	+	0.666499i	$0.232208\pi$
$384$	0.309017	+	0.951057i	0.0157695	+	0.0485334i
$385$	27.1309	−	19.7983i	1.38272	−	1.00901i
$386$	−21.8117	−	15.8472i	−1.11019	−	0.806599i
$387$	0.501118	+	0.983500i	0.0254733	+	0.0499941i
$388$	1.26341	+	2.47958i	0.0641398	+	0.125881i
$389$	2.47074	+	1.79510i	0.125272	+	0.0910151i	0.648657	−	0.761081i	$-0.275331\pi$
$389$	2.47074	+	1.79510i	0.125272	+	0.0910151i	−0.523385	+	0.852096i	$0.675331\pi$
$390$	5.91272	−	4.31471i	0.299402	−	0.218484i
$391$	5.00002	+	15.3885i	0.252862	+	0.778229i
$392$	18.5194	+	2.93319i	0.935372	+	0.148148i
$393$	2.39064	−	4.69190i	0.120592	−	0.236675i
$394$	−4.50141	−	3.27047i	−0.226778	−	0.164764i
$395$	−6.66646	+	13.1514i	−0.335426	+	0.661718i
$396$	−1.73984	−	2.39468i	−0.0874301	−	0.120337i
$397$	−12.5497	−	12.5497i	−0.629853	−	0.629853i	0.318178	−	0.948031i	$-0.396929\pi$
$397$	−12.5497	−	12.5497i	−0.629853	−	0.629853i	−0.948031	+	0.318178i	$0.896929\pi$
$398$	2.42390	+	2.42390i	0.121499	+	0.121499i
$399$	9.03618	−	6.56517i	0.452375	−	0.328669i
$400$	−0.0208491	−	4.99996i	−0.00104245	−	0.249998i
$401$	23.8715	−	7.75633i	1.19209	−	0.387333i	0.355244	−	0.934774i	$-0.384398\pi$
$401$	23.8715	−	7.75633i	1.19209	−	0.387333i	0.836844	+	0.547441i	$0.184398\pi$
$402$	−5.03781	+	5.03781i	−0.251263	+	0.251263i
$403$	−4.60366	−	17.6347i	−0.229325	−	0.878448i
$404$			8.23122i			0.409519i
$405$	−1.99023	+	1.01931i	−0.0988953	+	0.0506497i
$406$	1.44369	+	0.469085i	0.0716493	+	0.0232803i
$407$	−21.7843	−	3.45029i	−1.07981	−	0.171024i
$408$	−4.46682	+	4.46682i	−0.221140	+	0.221140i
$409$	14.3530			0.709709			0.354855	−	0.934921i	$-0.384530\pi$
$409$	14.3530			0.709709			0.354855	+	0.934921i	$0.384530\pi$
$410$	0.0490173	+	23.5104i	0.00242079	+	1.16110i
$411$	−6.99129	−	5.07947i	−0.344855	−	0.250552i
$412$	−1.36760	−	8.63471i	−0.0673770	−	0.425402i
$413$	2.28547	+	1.16451i	0.112461	+	0.0573016i
$414$	2.07221	−	1.50555i	0.101844	−	0.0739937i
$415$	28.4442	+	9.17656i	1.39627	+	0.450460i
$416$	−3.11322	−	1.01155i	−0.152638	−	0.0495952i
$417$	2.26024	+	14.2706i	0.110684	+	0.698832i
$418$	−5.80506	+	2.95783i	−0.283935	+	0.144672i
$419$	−4.37750	−	1.42234i	−0.213855	−	0.0694856i	0.200130	−	0.979769i	$-0.435863\pi$
$419$	−4.37750	−	1.42234i	−0.213855	−	0.0694856i	−0.413985	+	0.910284i	$0.635863\pi$
$420$	−5.13028	+	10.1208i	−0.250332	+	0.493847i
$421$	7.62755	−	23.4752i	0.371744	−	1.14411i	−0.573905	−	0.818922i	$-0.694572\pi$
$421$	7.62755	−	23.4752i	0.371744	−	1.14411i	0.945649	−	0.325189i	$-0.105428\pi$
$422$	3.65639	−	7.17607i	0.177990	−	0.349326i
$423$	1.97892	−	12.4944i	0.0962185	−	0.607500i
$424$	−1.43048	−	4.40257i	−0.0694703	−	0.213808i
$425$	28.0826	−	14.4566i	1.36220	−	0.701248i
$426$	7.21729	−	9.93374i	0.349679	−	0.481291i
$427$	6.82253	−	43.0758i	0.330165	−	2.08458i
$428$	1.60971	−	1.60971i	0.0778081	−	0.0778081i
$429$	9.68933			0.467805
$430$	−1.74163	+	1.74891i	−0.0839889	+	0.0843399i
$431$	−3.71734	+	11.4408i	−0.179058	+	0.551084i	−0.999796	−	0.0202217i	$-0.993563\pi$
$431$	−3.71734	+	11.4408i	−0.179058	+	0.551084i	0.820738	+	0.571305i	$0.193563\pi$
$432$	0.891007	+	0.453990i	0.0428686	+	0.0218426i
$433$	10.5161	+	10.5161i	0.505372	+	0.505372i	0.913102	−	0.407731i	$-0.133680\pi$
$433$	10.5161	+	10.5161i	0.505372	+	0.505372i	−0.407731	+	0.913102i	$0.633680\pi$
$434$	18.7696	+	21.1178i	0.900970	+	1.01369i
$435$	−0.392042	+	0.541972i	−0.0187970	+	0.0259856i
$436$	4.77900	+	14.7082i	0.228872	+	0.704397i
$437$	−2.55952	−	5.02335i	−0.122439	−	0.240299i
$438$	−0.645679	+	4.07666i	−0.0308517	+	0.194790i
$439$			19.3519i			0.923617i	0.886980	+	0.461808i	$0.152799\pi$
$439$			19.3519i			0.923617i	−0.886980	+	0.461808i	$0.847201\pi$
$440$	3.87922	−	5.36276i	0.184935	−	0.255660i
$441$	15.1693	−	11.0211i	0.722347	−	0.524816i
$442$	−3.23482	−	20.4238i	−0.153865	−	0.971462i
$443$	19.5884	−	3.10249i	0.930671	−	0.147404i	0.327351	−	0.944903i	$-0.393844\pi$
$443$	19.5884	−	3.10249i	0.930671	−	0.147404i	0.603320	+	0.797499i	$0.293844\pi$
$444$	7.08663	−	2.30258i	0.336316	−	0.109276i
$445$	13.3841	+	13.3284i	0.634465	+	0.631825i
$446$	−15.7564	+	5.11956i	−0.746087	+	0.242418i
$447$	9.11494	+	17.8891i	0.431122	+	0.846124i
$448$	5.01200	−	0.793822i	0.236795	−	0.0375046i
$449$	10.4001	−	32.0082i	0.490810	−	1.51056i	−0.332576	−	0.943077i	$-0.607918\pi$
$449$	10.4001	−	32.0082i	0.490810	−	1.51056i	0.823386	−	0.567482i	$-0.192082\pi$
$450$	−3.55025	−	3.52076i	−0.167360	−	0.165970i
$451$	−18.2930	+	25.1781i	−0.861383	+	1.18559i
$452$	−15.9130	+	8.10808i	−0.748485	+	0.381372i
$453$	−1.92043	−	0.978509i	−0.0902298	−	0.0459744i
$454$	−13.4584	−	18.5239i	−0.631635	−	0.869371i
$455$	−16.9316	−	33.0596i	−0.793768	−	1.54986i
$456$	1.29376	−	1.78071i	0.0605860	−	0.0833895i
$457$	16.5531	−	2.62176i	0.774323	−	0.122641i	0.243247	−	0.969964i	$-0.421788\pi$
$457$	16.5531	−	2.62176i	0.774323	−	0.122641i	0.531077	+	0.847324i	$0.321788\pi$
$458$	−3.08718	−	0.488961i	−0.144254	−	0.0228476i
$459$			6.31704i			0.294854i
$460$	4.64061	+	3.35684i	0.216370	+	0.156514i
$461$	19.2339	+	26.4732i	0.895814	+	1.23298i	0.971784	+	0.235872i	$0.0757945\pi$
$461$	19.2339	+	26.4732i	0.895814	+	1.23298i	−0.0759707	+	0.997110i	$0.524206\pi$
$462$	−13.3832	+	6.81910i	−0.622645	+	0.317253i
$463$	−2.58238	+	5.06821i	−0.120014	+	0.235540i	−0.943196	−	0.332237i	$-0.892197\pi$
$463$	−2.58238	+	5.06821i	−0.120014	+	0.235540i	0.823182	+	0.567777i	$0.192197\pi$
$464$	0.299142			0.0138873
$465$	−11.3955	+	5.01423i	−0.528454	+	0.232529i
$466$	−6.88750			−0.319057
$467$	0.310123	−	0.608651i	0.0143508	−	0.0281650i	−0.883720	−	0.468016i	$-0.844969\pi$
$467$	0.310123	−	0.608651i	0.0143508	−	0.0281650i	0.898071	+	0.439851i	$0.144969\pi$
$468$	−2.91665	+	1.48611i	−0.134822	+	0.0686954i
$469$	21.2504	+	29.2486i	0.981251	+	1.35058i
$470$	27.9291	−	4.48325i	1.28827	−	0.206797i
$471$		−	2.56142i		−	0.118024i
$472$	0.499257	+	0.0790745i	0.0229802	+	0.00363970i
$473$	−3.22703	+	0.511111i	−0.148379	+	0.0235009i
$474$	3.87583	−	5.33462i	0.178023	−	0.245027i
$475$	−8.87651	+	6.50589i	−0.407282	+	0.298511i
$476$	18.8418	+	25.9335i	0.863613	+	1.18866i
$477$	−4.12459	−	2.10158i	−0.188852	−	0.0962249i
$478$	6.56772	−	3.34642i	0.300401	−	0.153062i
$479$	1.79717	−	2.47359i	0.0821146	−	0.113021i	−0.765984	−	0.642860i	$-0.777748\pi$
$479$	1.79717	−	2.47359i	0.0821146	−	0.113021i	0.848098	+	0.529839i	$0.177748\pi$
$480$	−0.345193	+	2.20926i	−0.0157558	+	0.100839i
$481$	−7.53736	+	23.1976i	−0.343674	+	1.05772i
$482$	24.9567	−	3.95275i	1.13675	−	0.180043i
$483$	−5.90084	−	11.5811i	−0.268498	−	0.526956i
$484$	−2.12892	+	0.691729i	−0.0967692	+	0.0314422i
$485$	0.0129739	+	6.22272i	0.000589113	+	0.282559i
$486$	0.951057	−	0.309017i	0.0431408	−	0.0140173i
$487$	−14.7280	+	2.33268i	−0.667388	+	0.105704i	−0.480930	−	0.876759i	$-0.659701\pi$
$487$	−14.7280	+	2.33268i	−0.667388	+	0.105704i	−0.186458	+	0.982463i	$0.559701\pi$
$488$	−1.34448	−	8.48872i	−0.0608618	−	0.384266i
$489$	−2.27058	+	1.64967i	−0.102679	+	0.0746008i
$490$	33.9709	+	24.5732i	1.53465	+	1.11011i
$491$		−	33.6538i		−	1.51877i	−0.650639	−	0.759387i	$-0.725499\pi$
$491$		−	33.6538i		−	1.51877i	0.650639	−	0.759387i	$-0.274501\pi$
$492$	1.64478	−	10.3848i	0.0741526	−	0.468181i
$493$	0.857903	+	1.68373i	0.0386380	+	0.0758313i
$494$	2.22650	+	6.85246i	0.100175	+	0.308307i
$495$	−1.04902	−	6.53507i	−0.0471502	−	0.293730i
$496$	4.80379	+	2.81489i	0.215697	+	0.126392i
$497$	−44.0586	−	44.0586i	−1.97630	−	1.97630i
$498$	−11.9094	−	6.06815i	−0.533673	−	0.271920i
$499$	−12.9825	+	39.9561i	−0.581177	+	1.78868i	0.0329321	+	0.999458i	$0.489515\pi$
$499$	−12.9825	+	39.9561i	−0.581177	+	1.78868i	−0.614109	+	0.789221i	$0.710485\pi$
$500$	5.01336	−	9.99331i	0.224204	−	0.446914i
$501$	−10.4987			−0.469048
$502$	9.46693	−	9.46693i	0.422530	−	0.422530i
$503$	−0.799881	+	5.05025i	−0.0356649	+	0.225180i	−0.999083	−	0.0428249i	$-0.986364\pi$
$503$	−0.799881	+	5.05025i	−0.0356649	+	0.225180i	0.963418	+	0.268005i	$0.0863642\pi$
$504$	2.98270	−	4.10533i	0.132860	−	0.182866i
$505$	−8.32174	+	16.4169i	−0.370313	+	0.730541i
$506$	2.34287	+	7.21061i	0.104153	+	0.320551i
$507$	−0.357392	+	2.25648i	−0.0158723	+	0.100214i
$508$	6.32433	−	12.4122i	0.280597	−	0.550702i
$509$	4.64181	−	14.2860i	0.205745	−	0.633217i	−0.793937	−	0.608000i	$-0.791972\pi$
$509$	4.64181	−	14.2860i	0.205745	−	0.633217i	0.999682	−	0.0252173i	$-0.00802777\pi$
$510$	−13.4248	+	4.39296i	−0.594462	+	0.194524i
$511$	19.9196	+	6.47228i	0.881193	+	0.286317i
$512$	0.891007	−	0.453990i	0.0393773	−	0.0200637i
$513$	−0.344325	−	2.17398i	−0.0152023	−	0.0959837i
$514$	−9.51149	−	3.09047i	−0.419534	−	0.136315i
$515$	6.00204	−	18.6043i	0.264481	−	0.819801i
$516$	0.892999	−	0.648802i	0.0393121	−	0.0285619i
$517$	33.3631	+	16.9994i	1.46731	+	0.747631i
$518$	−5.91502	−	37.3460i	−0.259891	−	1.64089i
$519$	6.97797	+	5.06979i	0.306299	+	0.222539i
$520$	−5.18654	−	5.16496i	−0.227445	−	0.226498i
$521$	6.97752			0.305691			0.152845	−	0.988250i	$-0.451156\pi$
$521$	6.97752			0.305691			0.152845	+	0.988250i	$0.451156\pi$
$522$	0.211526	−	0.211526i	0.00925823	−	0.00925823i
$523$	−0.134238	−	0.0212613i	−0.00586983	−	0.000929690i	0.153499	−	0.988149i	$-0.450946\pi$
$523$	−0.134238	−	0.0212613i	−0.00586983	−	0.000929690i	−0.159369	+	0.987219i	$0.550946\pi$
$524$	−5.00811	−	1.62723i	−0.218780	−	0.0710861i
$525$	−20.4643	+	14.9990i	−0.893136	+	0.654608i
$526$		−	16.9537i		−	0.739218i
$527$	−2.06696	+	35.1110i	−0.0900384	+	1.52946i
$528$	−2.09303	+	2.09303i	−0.0910873	+	0.0910873i
$529$	15.6347	−	5.08001i	0.679768	−	0.220870i
$530$	1.59794	−	10.2270i	0.0694103	−	0.444232i
$531$	0.408942	−	0.297114i	0.0177466	−	0.0128936i
$532$	−7.89791	−	7.89791i	−0.342418	−	0.342418i
$533$	24.3369	+	24.3369i	1.05415	+	1.05415i
$534$	−4.96516	−	6.83395i	−0.214863	−	0.295734i
$535$	4.83791	−	1.58309i	0.209161	−	0.0684430i
$536$	5.76387	+	4.18770i	0.248961	+	0.180881i
$537$	−1.74311	+	3.42105i	−0.0752208	+	0.147629i
$538$	17.7616	+	2.81317i	0.765758	+	0.121284i
$539$	17.1506	+	52.7842i	0.738729	+	2.27357i
$540$	1.31810	+	1.80627i	0.0567218	+	0.0777296i
$541$	10.7632	+	7.81991i	0.462745	+	0.336204i	0.794607	−	0.607124i	$-0.207677\pi$
$541$	10.7632	+	7.81991i	0.462745	+	0.336204i	−0.331862	+	0.943328i	$0.607677\pi$
$542$	−2.81410	−	5.52298i	−0.120876	−	0.237232i
$543$	−7.46863	−	14.6580i	−0.320509	−	0.629035i
$544$	5.11059	+	3.71306i	0.219115	+	0.159196i
$545$	−5.33846	+	34.1666i	−0.228674	+	1.46354i
$546$	5.13307	+	15.7980i	0.219675	+	0.676091i
$547$	4.91411	+	0.778319i	0.210112	+	0.0332785i	0.260603	−	0.965446i	$-0.416079\pi$
$547$	4.91411	+	0.778319i	0.210112	+	0.0332785i	−0.0504908	+	0.998725i	$0.516079\pi$
$548$	−3.92325	+	7.69982i	−0.167593	+	0.328920i
$549$	−6.95312	−	5.05174i	−0.296752	−	0.215603i
$550$	13.1587	−	6.77396i	0.561089	−	0.288842i
$551$	−0.387020	−	0.532687i	−0.0164876	−	0.0226932i
$552$	−1.81118	−	1.81118i	−0.0770889	−	0.0770889i
$553$	−23.6604	−	23.6604i	−1.00614	−	1.00614i
$554$	6.39181	−	4.64392i	0.271562	−	0.197301i
$555$	16.4619	+	2.57214i	0.698770	+	0.109181i
$556$	13.7413	−	4.46482i	0.582761	−	0.189350i
$557$	−23.9267	+	23.9267i	−1.01381	+	1.01381i	−0.0139030	+	0.999903i	$0.504426\pi$
$557$	−23.9267	+	23.9267i	−1.01381	+	1.01381i	−0.999903	+	0.0139030i	$0.995574\pi$
$558$	5.38722	−	1.40637i	0.228059	−	0.0595364i
$559$			3.61325i			0.152824i
$560$	10.7988	+	3.48387i	0.456332	+	0.147220i
$561$	−17.7832	−	5.77810i	−0.750806	−	0.243952i
$562$	−5.09323	−	0.806689i	−0.214845	−	0.0340281i
$563$	31.5772	−	31.5772i	1.33082	−	1.33082i	0.426185	−	0.904636i	$-0.359857\pi$
$563$	31.5772	−	31.5772i	1.33082	−	1.33082i	0.904636	−	0.426185i	$-0.140143\pi$
$564$	−12.6502			−0.532668
$565$	−39.9352	+	0.0832616i	−1.68009	+	0.00350284i
$566$	−2.84016	−	2.06349i	−0.119381	−	0.0867352i
$567$	−0.793822	−	5.01200i	−0.0333374	−	0.210484i
$568$	−10.9405	−	5.57445i	−0.459052	−	0.233899i
$569$	−31.4055	+	22.8174i	−1.31659	+	0.956555i	−0.316617	+	0.948553i	$0.602547\pi$
$569$	−31.4055	+	22.8174i	−1.31659	+	0.956555i	−0.999968	+	0.00800169i	$0.997453\pi$
$570$	4.38066	−	2.24357i	0.183486	−	0.0939730i
$571$	−9.76005	−	3.17123i	−0.408445	−	0.132712i	0.0975859	−	0.995227i	$-0.468888\pi$
$571$	−9.76005	−	3.17123i	−0.408445	−	0.132712i	−0.506031	+	0.862515i	$0.668888\pi$
$572$	−1.51574	−	9.57004i	−0.0633765	−	0.400143i
$573$	14.5549	−	7.41611i	0.608041	−	0.309813i
$574$	−50.7427	−	16.4873i	−2.11796	−	0.688167i
$575$	5.86177	+	11.3867i	0.244453	+	0.474860i
$576$	0.309017	−	0.951057i	0.0128757	−	0.0396274i
$577$	−13.9516	+	27.3816i	−0.580813	+	1.13991i	0.394462	+	0.918912i	$0.370931\pi$
$577$	−13.9516	+	27.3816i	−0.580813	+	1.13991i	−0.975275	+	0.220997i	$0.929069\pi$
$578$	−3.58312	+	22.6229i	−0.149038	+	0.940990i
$579$	8.33134	+	25.6412i	0.346239	+	1.06561i
$580$	0.596629	+	0.302432i	0.0247737	+	0.0125578i
$581$	−39.8675	+	54.8729i	−1.65398	+	2.27651i
$582$	0.435340	−	2.74863i	0.0180454	−	0.113934i
$583$	9.68891	−	9.68891i	0.401273	−	0.401273i
$584$	4.12747			0.170796
$585$	−7.31961	+	0.0152608i	−0.302629	+	0.000630956i
$586$	−0.479089	+	1.47449i	−0.0197910	+	0.0609104i
$587$	−4.77945	−	2.43525i	−0.197269	−	0.100514i	0.352566	−	0.935787i	$-0.385309\pi$
$587$	−4.77945	−	2.43525i	−0.197269	−	0.100514i	−0.549835	+	0.835273i	$0.685309\pi$
$588$	−13.2584	−	13.2584i	−0.546769	−	0.546769i
$589$	−1.20247	−	12.1960i	−0.0495469	−	0.502526i
$590$	0.915805	+	0.662459i	0.0377031	+	0.0272730i
$591$	1.71939	+	5.29173i	0.0707261	+	0.217673i
$592$	−3.38283	−	6.63917i	−0.139033	−	0.272868i
$593$	−0.938650	+	5.92640i	−0.0385457	+	0.243368i	−0.999437	−	0.0335586i	$-0.989316\pi$
$593$	−0.938650	+	5.92640i	−0.0385457	+	0.243368i	0.960891	+	0.276927i	$0.0893160\pi$
$594$			2.95999i			0.121450i
$595$	11.3606	+	70.7725i	0.465738	+	2.90139i
$596$	16.2429	−	11.8012i	0.665337	−	0.483396i
$597$	−0.536244	−	3.38571i	−0.0219470	−	0.138568i
$598$	8.28133	−	1.31163i	0.338649	−	0.0536367i
$599$	−0.104082	+	0.0338183i	−0.00425268	+	0.00138178i	−0.311143	−	0.950363i	$-0.600712\pi$
$599$	−0.104082	+	0.0338183i	−0.00425268	+	0.00138178i	0.306890	+	0.951745i	$0.400712\pi$
$600$	−2.92203	+	4.05730i	−0.119292	+	0.165639i
$601$	19.4901	−	6.33270i	0.795016	−	0.258316i	0.116777	−	0.993158i	$-0.462744\pi$
$601$	19.4901	−	6.33270i	0.795016	−	0.258316i	0.678239	+	0.734842i	$0.262744\pi$
$602$	−2.54291	−	4.99074i	−0.103641	−	0.203408i
$603$	7.03682	−	1.11452i	0.286562	−	0.0453869i
$604$	−0.666040	+	2.04986i	−0.0271008	+	0.0834077i
$605$	−4.94539	−	0.772708i	−0.201059	−	0.0314150i
$606$	4.83819	−	6.65920i	0.196538	−	0.270511i
$607$	−22.0872	+	11.2540i	−0.896490	+	0.456784i	−0.840602	−	0.541653i	$-0.817799\pi$
$607$	−22.0872	+	11.2540i	−0.896490	+	0.456784i	−0.0558876	+	0.998437i	$0.517799\pi$
$608$	−1.96118	−	0.999270i	−0.0795363	−	0.0405258i
$609$	−0.892252	−	1.22808i	−0.0361559	−	0.0497643i
$610$	5.90055	−	18.2897i	0.238906	−	0.740528i
$611$	24.3399	−	33.5010i	0.984687	−	1.35531i
$612$	6.23926	−	0.988202i	0.252207	−	0.0399457i
$613$	17.1403	+	2.71476i	0.692290	+	0.109648i	0.492658	−	0.870223i	$-0.336025\pi$
$613$	17.1403	+	2.71476i	0.692290	+	0.109648i	0.199632	+	0.979871i	$0.436025\pi$
$614$		−	30.8357i		−	1.24443i
$615$	13.7794	−	19.0491i	0.555640	−	0.768136i
$616$	8.82875	+	12.1517i	0.355721	+	0.489607i
$617$	25.0194	−	12.7480i	1.00724	−	0.513217i	0.129110	−	0.991630i	$-0.458788\pi$
$617$	25.0194	−	12.7480i	1.00724	−	0.513217i	0.878135	+	0.478414i	$0.158788\pi$
$618$	−3.96894	+	7.78948i	−0.159654	+	0.313339i
$619$	7.75974			0.311890			0.155945	−	0.987766i	$-0.450158\pi$
$619$	7.75974			0.311890			0.155945	+	0.987766i	$0.450158\pi$
$620$	6.73515	+	10.4708i	0.270490	+	0.420518i
$621$	−2.56139			−0.102785
$622$	7.40142	−	14.5261i	0.296770	−	0.582444i
$623$	−38.1932	+	19.4604i	−1.53018	+	0.779665i
$624$	1.92408	+	2.64827i	0.0770248	+	0.106015i
$625$	20.1022	−	14.8628i	0.804087	−	0.594512i
$626$		−	5.51904i		−	0.220585i
$627$	6.43496	+	1.01920i	0.256988	+	0.0407028i
$628$	−2.52989	+	0.400695i	−0.100953	+	0.0159895i
$629$	27.6672	−	38.0806i	1.10316	−	1.51837i
$630$	10.0994	−	5.17244i	0.402369	−	0.206075i
$631$	−27.4803	−	37.8234i	−1.09397	−	1.50573i	−0.843138	−	0.537697i	$-0.819294\pi$
$631$	−27.4803	−	37.8234i	−1.09397	−	1.50573i	−0.250836	−	0.968030i	$-0.580706\pi$
$632$	−5.87525	−	2.99359i	−0.233705	−	0.119079i
$633$	−7.17607	+	3.65639i	−0.285223	+	0.145329i
$634$	−1.82620	+	2.51355i	−0.0725277	+	0.0998259i
$635$	25.1624	−	18.3618i	0.998538	−	0.728666i
$636$	−1.43048	+	4.40257i	−0.0567223	+	0.174573i
$637$	60.6222	−	9.60161i	2.40194	−	0.380430i
$638$	0.401989	+	0.788948i	0.0159149	+	0.0312348i
$639$	−11.6778	+	3.79435i	−0.461967	+	0.150102i
$640$	2.23606	−	0.00466201i	0.0883882	−	0.000184282i
$641$	−33.1561	+	10.7731i	−1.30959	+	0.425510i	−0.878906	−	0.476995i	$-0.841726\pi$
$641$	−33.1561	+	10.7731i	−1.30959	+	0.425510i	−0.430680	+	0.902505i	$0.641726\pi$
$642$	−2.24844	+	0.356118i	−0.0887390	+	0.0140549i
$643$	1.24854	+	7.88299i	0.0492377	+	0.310875i	1.00000		0.000952265i	$0.000303115\pi$
$643$	1.24854	+	7.88299i	0.0492377	+	0.310875i	−0.950762	+	0.309923i	$0.899697\pi$
$644$	−10.5154	+	7.63987i	−0.414364	+	0.301053i
$645$	2.43699	−	0.391192i	0.0959565	−	0.0154032i
$646$		−	13.9043i		−	0.547058i
$647$	1.39056	−	8.77963i	0.0546684	−	0.345163i	−0.945159	−	0.326609i	$-0.894094\pi$
$647$	1.39056	−	8.77963i	0.0546684	−	0.345163i	0.999828	−	0.0185535i	$-0.00590611\pi$
$648$	−0.453990	−	0.891007i	−0.0178344	−	0.0350020i
$649$	0.462356	+	1.42298i	0.0181490	+	0.0558570i
$650$	−5.12260	−	15.5449i	−0.200925	−	0.609721i
$651$	−2.77223	−	28.1171i	−0.108652	−	1.10200i
$652$	1.98456	+	1.98456i	0.0777214	+	0.0777214i
$653$	10.1713	+	5.18253i	0.398033	+	0.202808i	0.641537	−	0.767092i	$-0.278297\pi$
$653$	10.1713	+	5.18253i	0.398033	+	0.202808i	−0.243504	+	0.969900i	$0.578297\pi$
$654$	4.77900	−	14.7082i	0.186874	−	0.575138i
$655$	−8.34337	−	8.30865i	−0.326002	−	0.324646i
$656$	−10.5142			−0.410511
$657$	2.91856	−	2.91856i	0.113864	−	0.113864i
$658$	−10.0420	+	63.4026i	−0.391477	+	2.47169i
$659$	11.6490	−	16.0335i	0.453780	−	0.624575i	−0.519424	−	0.854517i	$-0.673853\pi$
$659$	11.6490	−	16.0335i	0.453780	−	0.624575i	0.973204	+	0.229941i	$0.0738535\pi$
$660$	−6.29051	+	2.05842i	−0.244858	+	0.0801239i
$661$	−14.3189	−	44.0689i	−0.556939	−	1.71408i	−0.690767	−	0.723077i	$-0.742727\pi$
$661$	−14.3189	−	44.0689i	−0.556939	−	1.71408i	0.133828	−	0.991005i	$-0.457273\pi$
$662$	3.29780	−	20.8215i	0.128172	−	0.809249i
$663$	−9.38780	+	18.4246i	−0.364592	+	0.715552i
$664$	−4.13040	+	12.7120i	−0.160290	+	0.493323i
$665$	−7.76732	−	23.7369i	−0.301204	−	0.920476i
$666$	−7.08663	−	2.30258i	−0.274601	−	0.0892233i
$667$	−0.682708	+	0.347857i	−0.0264346	+	0.0134691i
$668$	1.64236	+	10.3695i	0.0635449	+	0.401207i
$669$	15.7564	+	5.11956i	0.609177	+	0.197934i
$670$	7.26208	+	14.1795i	0.280559	+	0.547801i
$671$	20.5811	−	14.9531i	0.794526	−	0.577257i
$672$	−4.52139	−	2.30376i	−0.174416	−	0.0888696i
$673$	−6.70455	−	42.3309i	−0.258442	−	1.63174i	−0.685897	−	0.727699i	$-0.740590\pi$
$673$	−6.70455	−	42.3309i	−0.258442	−	1.63174i	0.427455	−	0.904037i	$-0.359410\pi$
$674$	−12.8977	−	9.37070i	−0.496800	−	0.360946i
$675$	0.802758	+	4.93514i	0.0308982	+	0.189954i
$676$	2.28461			0.0878697
$677$	−10.4888	+	10.4888i	−0.403118	+	0.403118i	−0.879330	−	0.476212i	$-0.842009\pi$
$677$	−10.4888	+	10.4888i	−0.403118	+	0.403118i	0.476212	+	0.879330i	$0.342009\pi$
$678$	17.6397	+	2.79386i	0.677449	+	0.107297i
$679$	−13.4305	−	4.36385i	−0.515417	−	0.167469i
$680$	6.43899	+	12.5724i	0.246924	+	0.482128i
$681$			22.8968i			0.877408i
$682$	−0.968522	+	16.4520i	−0.0370866	+	0.629980i
$683$	−10.3605	+	10.3605i	−0.396435	+	0.396435i	−0.876974	−	0.480539i	$-0.840441\pi$
$683$	−10.3605	+	10.3605i	−0.396435	+	0.396435i	0.480539	+	0.876974i	$0.340441\pi$
$684$	−2.09335	+	0.680172i	−0.0800414	+	0.0260070i
$685$	−15.6093	+	11.3906i	−0.596400	+	0.435213i
$686$	−48.2388	+	35.0475i	−1.84177	+	1.33812i
$687$	2.21017	+	2.21017i	0.0843234	+	0.0843234i
$688$	−0.780510	−	0.780510i	−0.0297567	−	0.0297567i
$689$	−8.90682	−	12.2592i	−0.339323	−	0.467038i
$690$	−1.78123	−	5.44343i	−0.0678103	−	0.207228i
$691$	11.1851	+	8.12645i	0.425501	+	0.309145i	0.779848	−	0.625969i	$-0.215297\pi$
$691$	11.1851	+	8.12645i	0.425501	+	0.309145i	−0.354346	+	0.935114i	$0.615297\pi$
$692$	3.91578	−	7.68515i	0.148856	−	0.292145i
$693$	14.8354	+	2.34970i	0.563552	+	0.0892579i
$694$	9.76253	+	30.0460i	0.370580	+	1.14053i
$695$	31.9204	+	4.98750i	1.21081	+	0.189187i
$696$	−0.242011	−	0.175832i	−0.00917342	−	0.00666488i
$697$	−30.1534	−	59.1794i	−1.14214	−	2.24158i
$698$	−16.5179	−	32.4182i	−0.625212	−	1.22705i
$699$	5.57210	+	4.04837i	0.210756	+	0.153123i
$700$	18.0156	+	17.8660i	0.680927	+	0.675271i
$701$	−1.62038	−	4.98701i	−0.0612008	−	0.188357i	0.915782	−	0.401676i	$-0.131572\pi$
$701$	−1.62038	−	4.98701i	−0.0612008	−	0.188357i	−0.976982	+	0.213320i	$0.931572\pi$
$702$	3.23314	+	0.512078i	0.122027	+	0.0193272i
$703$	−7.44588	+	14.6134i	−0.280827	+	0.551154i
$704$	2.39468	+	1.73984i	0.0902529	+	0.0655725i
$705$	−25.2303	−	12.7893i	−0.950228	−	0.481673i
$706$	−11.5782	−	15.9360i	−0.435750	−	0.599758i
$707$	−29.5352	−	29.5352i	−1.11079	−	1.11079i
$708$	−0.357428	−	0.357428i	−0.0134330	−	0.0134330i
$709$	25.1934	−	18.3041i	0.946159	−	0.687425i	−0.00373621	−	0.999993i	$-0.501189\pi$
$709$	25.1934	−	18.3041i	0.946159	−	0.687425i	0.949895	+	0.312568i	$0.101189\pi$
$710$	−16.1846	−	22.1788i	−0.607398	−	0.832356i
$711$	−6.27122	+	2.03764i	−0.235189	+	0.0764175i
$712$	−5.97309	+	5.97309i	−0.223851	+	0.223851i
$713$	−14.2366	−	0.838100i	−0.533164	−	0.0313871i
$714$		−	32.0556i		−	1.19965i
$715$	6.65219	−	20.6195i	0.248778	−	0.771126i
$716$	3.65161	+	1.18648i	0.136467	+	0.0443409i
$717$	−7.28038	−	1.15310i	−0.271891	−	0.0430632i
$718$	−13.7634	+	13.7634i	−0.513644	+	0.513644i
$719$	−17.2454			−0.643146			−0.321573	−	0.946885i	$-0.604211\pi$
$719$	−17.2454			−0.643146			−0.321573	+	0.946885i	$0.604211\pi$
$720$	1.57784	−	1.58443i	0.0588026	−	0.0590483i
$721$	35.8902	+	26.0758i	1.33662	+	0.971113i
$722$	−2.21437	−	13.9810i	−0.0824102	−	0.520318i
$723$	−22.5138	−	11.4713i	−0.837296	−	0.426624i
$724$	−13.3092	+	9.66969i	−0.494632	+	0.359371i
$725$	0.884196	+	1.20638i	0.0328382	+	0.0448038i
$726$	2.12892	+	0.691729i	0.0790117	+	0.0256725i
$727$	−3.24099	−	20.4628i	−0.120202	−	0.758923i	−0.971987	−	0.235033i	$-0.924480\pi$
$727$	−3.24099	−	20.4628i	−0.120202	−	0.758923i	0.851786	−	0.523890i	$-0.175520\pi$
$728$	14.8005	−	7.54122i	0.548542	−	0.279496i
$729$	−0.951057	−	0.309017i	−0.0352243	−	0.0114451i
$730$	8.23209	+	4.17286i	0.304683	+	0.154445i
$731$	2.15471	−	6.63152i	0.0796949	−	0.245276i
$732$	−3.90183	+	7.65778i	−0.144216	+	0.283040i
$733$	−3.61479	+	22.8229i	−0.133515	+	0.842983i	0.826480	+	0.562966i	$0.190340\pi$
$733$	−3.61479	+	22.8229i	−0.133515	+	0.842983i	−0.959995	+	0.280017i	$0.909660\pi$
$734$	4.66511	+	14.3577i	0.172192	+	0.529954i
$735$	−13.0392	−	39.8477i	−0.480959	−	1.46981i
$736$	−1.50555	+	2.07221i	−0.0554953	+	0.0763827i
$737$	−3.29897	+	20.8289i	−0.121519	+	0.767242i
$738$	−7.43466	+	7.43466i	−0.273674	+	0.273674i
$739$	−42.4959			−1.56324			−0.781619	−	0.623756i	$-0.785606\pi$
$739$	−42.4959			−1.56324			−0.781619	+	0.623756i	$0.785606\pi$
$740$	−0.0347381	−	16.6616i	−0.00127700	−	0.612493i
$741$	2.22650	−	6.85246i	0.0817925	−	0.251731i
$742$	20.9301	+	10.6644i	0.768369	+	0.391504i
$743$	12.2509	+	12.2509i	0.449442	+	0.449442i	0.895169	−	0.445727i	$-0.147055\pi$
$743$	12.2509	+	12.2509i	0.449442	+	0.449442i	−0.445727	+	0.895169i	$0.647055\pi$
$744$	−2.23180	−	5.10089i	−0.0818218	−	0.187008i
$745$	44.3269	−	7.11546i	1.62401	−	0.260690i
$746$	1.86441	+	5.73807i	0.0682609	+	0.210085i
$747$	6.06815	+	11.9094i	0.222022	+	0.435742i
$748$	−2.92506	+	18.4681i	−0.106951	+	0.675262i
$749$			11.5519i			0.422097i
$750$	−9.92981	+	5.13798i	−0.362586	+	0.187612i
$751$	8.54796	−	6.21046i	0.311919	−	0.226623i	−0.420800	−	0.907153i	$-0.638251\pi$
$751$	8.54796	−	6.21046i	0.311919	−	0.226623i	0.732720	+	0.680531i	$0.238251\pi$
$752$	1.97892	+	12.4944i	0.0721639	+	0.455625i
$753$	−13.2234	+	2.09438i	−0.481888	+	0.0763236i
$754$	0.931297	−	0.302597i	0.0339158	−	0.0110199i
$755$	−3.40080	+	3.41501i	−0.123768	+	0.124285i
$756$	−4.82611	+	1.56810i	−0.175524	+	0.0570312i
$757$	7.26438	+	14.2572i	0.264028	+	0.518185i	0.984519	−	0.175280i	$-0.0560831\pi$
$757$	7.26438	+	14.2572i	0.264028	+	0.518185i	−0.720490	+	0.693465i	$0.756083\pi$
$758$	29.3307	−	4.64553i	1.06534	−	0.168733i
$759$	2.34287	−	7.21061i	0.0850408	−	0.261729i
$760$	−2.90124	−	3.97575i	−0.105239	−	0.144216i
$761$	−18.0715	+	24.8733i	−0.655091	+	0.901655i	−0.999307	−	0.0372357i	$-0.988145\pi$
$761$	−18.0715	+	24.8733i	−0.655091	+	0.901655i	0.344216	+	0.938891i	$0.388145\pi$
$762$	−12.4122	+	6.32433i	−0.449647	+	0.229106i
$763$	−69.9240	−	35.6280i	−2.53142	−	1.28982i
$764$	−9.60170	−	13.2156i	−0.347377	−	0.478124i
$765$	13.4430	+	4.33695i	0.486034	+	0.156803i
$766$	−19.3389	+	26.6178i	−0.698744	+	0.961739i
$767$	1.63429	−	0.258845i	0.0590106	−	0.00934637i
$768$	−0.987688	−	0.156434i	−0.0356401	−	0.00564484i
$769$		−	43.6330i		−	1.57344i	−0.617307	−	0.786722i	$-0.711776\pi$
$769$		−	43.6330i		−	1.57344i	0.617307	−	0.786722i	$-0.288224\pi$
$770$	5.32325	+	33.1620i	0.191837	+	1.19508i
$771$	5.87842	+	8.09096i	0.211706	+	0.291389i
$772$	24.0222	−	12.2399i	0.864579	−	0.440525i
$773$	−7.42831	+	14.5789i	−0.267178	+	0.524366i	−0.985148	−	0.171708i	$-0.945071\pi$
$773$	−7.42831	+	14.5789i	−0.267178	+	0.524366i	0.717970	+	0.696074i	$0.245071\pi$
$774$	−1.10381			−0.0396756
$775$	2.84704	+	27.6929i	0.102269	+	0.994757i
$776$	−2.78289			−0.0999000
$777$	−17.1661	+	33.6903i	−0.615829	+	1.20863i
$778$	−2.72114	+	1.38649i	−0.0975575	+	0.0497081i
$779$	13.6029	+	18.7228i	0.487374	+	0.670813i
$780$	1.16011	+	7.22711i	0.0415387	+	0.258772i
$781$		−	36.3450i		−	1.30053i
$782$	−15.9812	−	2.53117i	−0.571487	−	0.0905146i
$783$	−0.295459	+	0.0467962i	−0.0105589	+	0.00167236i
$784$	−11.0211	+	15.1693i	−0.393612	+	0.541760i
$785$	−5.45087	−	1.75854i	−0.194550	−	0.0627649i
$786$	3.09518	+	4.26015i	0.110402	+	0.151955i
$787$	13.9528	+	7.10929i	0.497363	+	0.253419i	0.684631	−	0.728890i	$-0.259963\pi$
$787$	13.9528	+	7.10929i	0.497363	+	0.253419i	−0.187268	+	0.982309i	$0.559963\pi$
$788$	4.95761	−	2.52603i	0.176607	−	0.0899860i
$789$	−9.96515	+	13.7159i	−0.354769	+	0.488297i
$790$	−8.69146	−	11.9105i	−0.309228	−	0.423755i
$791$	28.0056	−	86.1923i	0.995764	−	3.06465i
$792$	2.92354	−	0.463044i	0.103884	−	0.0164535i
$793$	−12.7724	−	25.0673i	−0.453562	−	0.890165i
$794$	16.8794	−	5.48444i	0.599026	−	0.194635i
$795$	−7.30403	+	7.33455i	−0.259047	+	0.260130i
$796$	−3.26014	+	1.05928i	−0.115553	+	0.0375453i
$797$	−18.7566	+	2.97075i	−0.664393	+	0.105229i	−0.479517	−	0.877533i	$-0.659188\pi$
$797$	−18.7566	+	2.97075i	−0.664393	+	0.105229i	−0.184875	+	0.982762i	$0.559188\pi$
$798$	1.74727	+	11.0318i	0.0618526	+	0.390522i
$799$	−64.6498	+	46.9708i	−2.28715	+	1.66171i
$800$	4.46446	+	2.25136i	0.157842	+	0.0795975i
$801$			8.44723i			0.298468i
$802$	−3.92651	+	24.7910i	−0.138650	+	0.875401i
$803$	5.54652	+	10.8857i	0.195732	+	0.384147i
$804$	−2.20160	−	6.77584i	−0.0776446	−	0.238965i
$805$	−28.6964	+	4.60642i	−1.01142	+	0.162355i
$806$	17.8027	+	3.90410i	0.627072	+	0.137516i
$807$	−12.7159	−	12.7159i	−0.447622	−	0.447622i
$808$	−7.33407	−	3.73690i	−0.258012	−	0.131464i
$809$	8.36926	−	25.7579i	0.294247	−	0.905600i	−0.689226	−	0.724547i	$-0.742049\pi$
$809$	8.36926	−	25.7579i	0.294247	−	0.905600i	0.983473	−	0.181054i	$-0.0579508\pi$
$810$	−0.00466201	−	2.23606i	−0.000163806	−	0.0785672i
$811$	−48.8885			−1.71671			−0.858353	−	0.513059i	$-0.828512\pi$
$811$	−48.8885			−1.71671			−0.858353	+	0.513059i	$0.828512\pi$
$812$	−1.07338	+	1.07338i	−0.0376683	+	0.0376683i
$813$	−0.969672	+	6.12227i	−0.0340079	+	0.214717i
$814$	12.9641	−	17.8435i	0.454391	−	0.625415i
$815$	1.95175	+	5.96452i	0.0683667	+	0.208928i
$816$	−1.95207	−	6.00786i	−0.0683362	−	0.210317i
$817$	−0.380069	+	2.39966i	−0.0132969	+	0.0839535i
$818$	−6.51612	+	12.7886i	−0.227831	+	0.447143i
$819$	5.13307	−	15.7980i	0.179364	−	0.552026i
$820$	−20.9702	−	10.6298i	−0.732311	−	0.371210i
$821$	−2.56306	−	0.832787i	−0.0894512	−	0.0290645i	0.263949	−	0.964537i	$-0.414975\pi$
$821$	−2.56306	−	0.832787i	−0.0894512	−	0.0290645i	−0.353401	+	0.935472i	$0.614975\pi$
$822$	7.69982	−	3.92325i	0.268562	−	0.136839i
$823$	−6.23804	−	39.3854i	−0.217444	−	1.37289i	−0.818879	−	0.573967i	$-0.805404\pi$
$823$	−6.23804	−	39.3854i	−0.217444	−	1.37289i	0.601434	−	0.798922i	$-0.294596\pi$
$824$	8.31446	+	2.70153i	0.289648	+	0.0941123i
$825$	−14.6272	−	2.25425i	−0.509255	−	0.0784828i
$826$	−2.07517	+	1.50770i	−0.0722042	+	0.0524594i
$827$	−29.4838	−	15.0228i	−1.02525	−	0.522393i	−0.141299	−	0.989967i	$-0.545128\pi$
$827$	−29.4838	−	15.0228i	−1.02525	−	0.522393i	−0.883954	+	0.467574i	$0.845128\pi$
$828$	0.400690	+	2.52986i	0.0139249	+	0.0879186i
$829$	5.76727	+	4.19017i	0.200306	+	0.145531i	0.683417	−	0.730029i	$-0.260493\pi$
$829$	5.76727	+	4.19017i	0.200306	+	0.145531i	−0.483111	+	0.875559i	$0.660493\pi$
$830$	−21.0898	+	21.1779i	−0.732037	+	0.735096i
$831$	−7.90071			−0.274072
$832$	2.31467	−	2.31467i	0.0802467	−	0.0802467i
$833$	−116.988	−	18.5291i	−4.05339	−	0.641994i
$834$	−13.7413	−	4.46482i	−0.475822	−	0.154604i
$835$	−7.20787	+	22.3419i	−0.249439	+	0.773175i
$836$		−	6.51517i		−	0.225332i
$837$	−5.18499	−	2.02875i	−0.179220	−	0.0701239i
$838$	3.25465	−	3.25465i	0.112430	−	0.112430i
$839$	38.3782	−	12.4698i	1.32496	−	0.430506i	0.440766	−	0.897622i	$-0.354707\pi$
$839$	38.3782	−	12.4698i	1.32496	−	0.430506i	0.884196	+	0.467116i	$0.154707\pi$
$840$	−6.68865	−	9.16588i	−0.230780	−	0.316253i
$841$	23.3891	−	16.9932i	0.806521	−	0.585972i
$842$	17.4537	+	17.4537i	0.601495	+	0.601495i
$843$	3.64635	+	3.64635i	0.125587	+	0.125587i
$844$	4.73396	+	6.51574i	0.162950	+	0.224281i
$845$	4.55657	+	2.30974i	0.156751	+	0.0794574i
$846$	10.2342	+	7.43558i	0.351859	+	0.255641i
$847$	5.15693	−	10.1210i	0.177194	−	0.347763i
$848$	4.57214	+	0.724157i	0.157008	+	0.0248676i
$849$	1.08484	+	3.33880i	0.0372317	+	0.114587i
$850$	0.131704	+	31.5849i	0.00451743	+	1.08335i
$851$	15.4407	+	11.2183i	0.529300	+	0.384559i
$852$	5.57445	+	10.9405i	0.190977	+	0.374814i
$853$	−19.1892	−	37.6609i	−0.657025	−	1.28948i	−0.943493	−	0.331394i	$-0.892481\pi$
$853$	−19.1892	−	37.6609i	−0.657025	−	1.28948i	0.286468	−	0.958090i	$-0.407519\pi$
$854$	35.2834	+	25.6349i	1.20737	+	0.877208i
$855$	−4.86277	−	0.759798i	−0.166303	−	0.0259845i
$856$	0.703468	+	2.16505i	0.0240440	+	0.0739999i
$857$	55.2654	+	8.75318i	1.88783	+	0.299003i	0.989970	−	0.141278i	$-0.0451211\pi$
$857$	55.2654	+	8.75318i	1.88783	+	0.299003i	0.897860	+	0.440281i	$0.145121\pi$
$858$	−4.39886	+	8.63325i	−0.150175	+	0.294734i
$859$	−46.6377	−	33.8843i	−1.59126	−	1.15612i	−0.902119	−	0.431487i	$-0.857989\pi$
$859$	−46.6377	−	33.8843i	−1.59126	−	1.15612i	−0.689139	−	0.724630i	$-0.742011\pi$
$860$	−0.767605	−	2.34579i	−0.0261751	−	0.0799909i
$861$	31.3607	+	43.1643i	1.06877	+	1.47104i
$862$	−8.50619	−	8.50619i	−0.289722	−	0.289722i
$863$	15.2291	+	15.2291i	0.518406	+	0.518406i	0.917089	−	0.398683i	$-0.130533\pi$
$863$	15.2291	+	15.2291i	0.518406	+	0.518406i	−0.398683	+	0.917089i	$0.630533\pi$
$864$	−0.809017	+	0.587785i	−0.0275233	+	0.0199969i
$865$	15.5795	−	11.3689i	0.529720	−	0.386554i
$866$	−14.1441	+	4.59570i	−0.480637	+	0.156168i
$867$	16.1962	−	16.1962i	0.550053	−	0.550053i
$868$	−27.3373	+	7.13659i	−0.927888	+	0.242232i
$869$		−	19.5180i		−	0.662103i
$870$	−0.304917	−	0.595362i	−0.0103377	−	0.0201847i
$871$	22.1803	+	7.20681i	0.751550	+	0.244193i
$872$	−15.2748	−	2.41928i	−0.517268	−	0.0819273i
$873$	−1.96780	+	1.96780i	−0.0666000	+	0.0666000i
$874$	5.63784			0.190703
$875$	17.8690	+	53.8468i	0.604083	+	1.82036i
$876$	−3.33920	−	2.42607i	−0.112821	−	0.0819692i
$877$	−1.09727	−	6.92788i	−0.0370521	−	0.233938i	0.962212	−	0.272303i	$-0.0877852\pi$
$877$	−1.09727	−	6.92788i	−0.0370521	−	0.233938i	−0.999264	+	0.0383646i	$0.987785\pi$
$878$	−17.2427	−	8.78559i	−0.581912	−	0.296499i
$879$	1.25427	−	0.911282i	0.0423056	−	0.0307368i
$880$	3.01713	+	5.89105i	0.101707	+	0.198587i
$881$	19.0091	+	6.17645i	0.640434	+	0.208090i	0.611192	−	0.791483i	$-0.290690\pi$
$881$	19.0091	+	6.17645i	0.640434	+	0.208090i	0.0292427	+	0.999572i	$0.490690\pi$
$882$	2.93319	+	18.5194i	0.0987656	+	0.623582i
$883$	6.23943	−	3.17915i	0.209974	−	0.106987i	−0.345841	−	0.938293i	$-0.612406\pi$
$883$	6.23943	−	3.17915i	0.209974	−	0.106987i	0.555815	+	0.831306i	$0.312406\pi$
$884$	19.6663	+	6.38998i	0.661451	+	0.214918i
$885$	−0.351519	−	1.07424i	−0.0118162	−	0.0361101i
$886$	−6.12859	+	18.8619i	−0.205894	+	0.633676i
$887$	3.50317	−	6.87535i	0.117625	−	0.230852i	−0.824686	−	0.565591i	$-0.808648\pi$
$887$	3.50317	−	6.87535i	0.117625	−	0.230852i	0.942311	+	0.334739i	$0.108648\pi$
$888$	−1.16564	+	7.35958i	−0.0391164	+	0.246971i
$889$	21.8445	+	67.2303i	0.732639	+	2.25483i
$890$	−17.9519	+	5.87433i	−0.601749	+	0.196908i
$891$	1.73984	−	2.39468i	0.0582867	−	0.0802248i
$892$	2.59169	−	16.3633i	0.0867762	−	0.547883i
$893$	19.6887	−	19.6887i	0.658858	−	0.658858i
$894$	−20.0774			−0.671488
$895$	6.08348	+	6.05816i	0.203348	+	0.202502i
$896$	−1.56810	+	4.82611i	−0.0523865	+	0.161229i
$897$	−7.47070	−	3.80651i	−0.249439	−	0.127096i
$898$	23.7979	+	23.7979i	0.794148	+	0.794148i
$899$	−1.65752	+	0.163424i	−0.0552813	+	0.00545050i
$900$	4.74880	−	1.56490i	0.158293	−	0.0521633i
$901$	9.03641	+	27.8112i	0.301046	+	0.926525i
$902$	−14.1290	−	27.7298i	−0.470446	−	0.923302i
$903$	−0.876227	+	5.53228i	−0.0291590	+	0.184103i
$904$		−	17.8596i		−	0.594001i
$905$	−36.3207	+	5.83029i	−1.20734	+	0.193805i
$906$	1.74372	−	1.26688i	0.0579311	−	0.0420894i
$907$	−3.81513	−	24.0878i	−0.126679	−	0.799821i	−0.966445	−	0.256872i	$-0.917308\pi$
$907$	−3.81513	−	24.0878i	−0.126679	−	0.799821i	0.839766	−	0.542948i	$-0.182692\pi$
$908$	22.6149	−	3.58185i	0.750503	−	0.118868i
$909$	−7.82836	+	2.54359i	−0.259650	+	0.0843655i
$910$	37.1432	−	0.0774405i	1.23128	−	0.00256713i
$911$	27.7508	−	9.01678i	0.919425	−	0.298739i	0.189194	−	0.981940i	$-0.439412\pi$
$911$	27.7508	−	9.01678i	0.919425	−	0.298739i	0.730231	+	0.683200i	$0.239412\pi$
$912$	0.999270	+	1.96118i	0.0330891	+	0.0649411i
$913$	−39.0768	+	6.18915i	−1.29325	+	0.204831i
$914$	−5.17896	+	15.9392i	−0.171305	+	0.527222i
$915$	−15.5241	+	11.3284i	−0.513210	+	0.374506i
$916$	1.83722	−	2.52871i	0.0607033	−	0.0835509i
$917$	23.8089	−	12.1312i	0.786239	−	0.400609i
$918$	−5.62852	−	2.86787i	−0.185769	−	0.0946539i
$919$	−1.17626	−	1.61899i	−0.0388014	−	0.0534055i	0.789176	−	0.614168i	$-0.210508\pi$
$919$	−1.17626	−	1.61899i	−0.0388014	−	0.0534055i	−0.827977	+	0.560762i	$0.810508\pi$
$920$	−5.09776	+	2.61084i	−0.168068	+	0.0860769i
$921$	−18.1248	+	24.9466i	−0.597232	+	0.822020i
$922$	−32.3199	+	5.11896i	−1.06440	+	0.168584i
$923$	−39.6990	−	6.28770i	−1.30671	−	0.206962i
$924$		−	15.0204i		−	0.494134i
$925$	16.7756	−	33.2661i	0.551577	−	1.09378i
$926$	−3.34343	−	4.60184i	−0.109872	−	0.151226i
$927$	7.78948	−	3.96894i	0.255840	−	0.130357i
$928$	−0.135808	+	0.266538i	−0.00445811	+	0.00874953i
$929$	49.2678			1.61642			0.808212	−	0.588892i	$-0.200436\pi$
$929$	49.2678			1.61642			0.808212	+	0.588892i	$0.200436\pi$
$930$	0.705738	−	12.4299i	0.0231421	−	0.407592i
$931$	41.2709			1.35260
$932$	3.12686	−	6.13681i	0.102424	−	0.201018i
$933$	−14.5261	+	7.40142i	−0.475563	+	0.242312i
$934$	0.401519	+	0.552644i	0.0131381	+	0.0180831i
$935$	−24.5052	+	33.8768i	−0.801405	+	1.10789i
$936$		−	3.27344i		−	0.106996i
$937$	44.8615	+	7.10536i	1.46556	+	0.232122i	0.837669	−	0.546179i	$-0.183918\pi$
$937$	44.8615	+	7.10536i	1.46556	+	0.232122i	0.627892	+	0.778301i	$0.283918\pi$
$938$	−35.7082	+	5.65562i	−1.16591	+	0.184662i
$939$	−3.24401	+	4.46500i	−0.105864	+	0.145710i
$940$	−8.68495	+	26.9204i	−0.283272	+	0.878045i
$941$	6.57123	+	9.04452i	0.214216	+	0.294843i	0.902580	−	0.430523i	$-0.141671\pi$
$941$	6.57123	+	9.04452i	0.214216	+	0.294843i	−0.688364	+	0.725366i	$0.741671\pi$
$942$	2.28224	+	1.16286i	0.0743595	+	0.0378881i
$943$	23.9957	−	12.2264i	0.781408	−	0.398147i
$944$	−0.297114	+	0.408942i	−0.00967023	+	0.0133099i
$945$	−11.2108	−	1.75167i	−0.364689	−	0.0569819i
$946$	1.00964	−	3.10735i	0.0328262	−	0.101029i
$947$	17.3999	−	2.75587i	0.565420	−	0.0895537i	0.132821	−	0.991140i	$-0.457597\pi$
$947$	17.3999	−	2.75587i	0.565420	−	0.0895537i	0.432599	+	0.901586i	$0.357597\pi$
$948$	2.99359	+	5.87525i	0.0972273	+	0.190819i
$949$	12.8497	−	4.17514i	0.417120	−	0.135531i
$950$	−1.76694	−	10.8626i	−0.0573270	−	0.352431i
$951$	2.95486	−	0.960091i	0.0958178	−	0.0311331i
$952$	−31.6610	+	5.01460i	−1.02614	+	0.162524i
$953$	−4.85474	−	30.6517i	−0.157261	−	0.992904i	−0.932482	−	0.361215i	$-0.882362\pi$
$953$	−4.85474	−	30.6517i	−0.157261	−	0.992904i	0.775222	−	0.631689i	$-0.217638\pi$
$954$	3.74505	−	2.72094i	0.121250	−	0.0880936i
$955$	−5.78929	−	36.0653i	−0.187337	−	1.16705i
$956$			7.37113i			0.238399i
$957$	0.138516	−	0.874556i	0.00447759	−	0.0282704i
$958$	1.38809	+	2.72427i	0.0448470	+	0.0880173i
$959$	−13.5511	−	41.7058i	−0.437586	−	1.34675i
$960$	−1.81175	−	1.31055i	−0.0584741	−	0.0422979i
$961$	−28.1551	−	12.9726i	−0.908230	−	0.418472i
$962$	−17.2473	−	17.2473i	−0.556077	−	0.556077i
$963$	2.02835	+	1.03350i	0.0653626	+	0.0333039i
$964$	−7.80818	+	24.0311i	−0.251484	+	0.773989i
$965$	60.2860	−	0.125691i	1.94068	−	0.00404615i
$966$	12.9977			0.418195
$967$	−27.3332	+	27.3332i	−0.878975	+	0.878975i	−0.993429	−	0.114453i	$-0.963488\pi$
$967$	−27.3332	+	27.3332i	−0.878975	+	0.878975i	0.114453	+	0.993429i	$0.463488\pi$
$968$	0.350176	−	2.21092i	0.0112551	−	0.0710617i
$969$	−8.17275	+	11.2488i	−0.262547	+	0.361364i
$970$	−5.55038	−	2.81350i	−0.178212	−	0.0903360i
$971$	−0.435570	−	1.34055i	−0.0139781	−	0.0430202i	0.943824	−	0.330448i	$-0.107200\pi$
$971$	−0.435570	−	1.34055i	−0.0139781	−	0.0430202i	−0.957802	+	0.287428i	$0.907200\pi$
$972$	−0.156434	+	0.987688i	−0.00501764	+	0.0316801i
$973$	−33.2858	+	65.3270i	−1.06709	+	2.09429i
$974$	4.60793	−	14.1817i	0.147647	−	0.454412i
$975$	−4.99279	+	15.5871i	−0.159897	+	0.499186i
$976$	8.17388	+	2.65586i	0.261640	+	0.0850119i
$977$	40.2740	−	20.5206i	1.28848	−	0.656513i	0.330623	−	0.943763i	$-0.392741\pi$
$977$	40.2740	−	20.5206i	1.28848	−	0.656513i	0.957856	+	0.287250i	$0.0927412\pi$
$978$	−0.439048	−	2.77204i	−0.0140392	−	0.0886400i
$979$	−23.7799	−	7.72656i	−0.760010	−	0.246942i
$980$	−37.3174	+	19.1123i	−1.19206	+	0.610519i
$981$	−12.5116	+	9.09019i	−0.399464	+	0.290227i
$982$	29.9857	+	15.2785i	0.956884	+	0.487557i
$983$	1.88088	+	11.8754i	0.0599909	+	0.378767i	0.999357	+	0.0358519i	$0.0114144\pi$
$983$	1.88088	+	11.8754i	0.0599909	+	0.378767i	−0.939366	+	0.342915i	$0.888586\pi$
$984$	8.50617	+	6.18009i	0.271167	+	0.197014i
$985$	12.4416	−	0.0259397i	0.396422	−	0.000826507i
$986$	−1.88969			−0.0601801
$987$	45.3913	−	45.3913i	1.44482	−	1.44482i
$988$	−7.11640	−	1.12713i	−0.226403	−	0.0358587i
$989$	2.68891	+	0.873679i	0.0855023	+	0.0277814i
$990$	6.29904	+	2.03217i	0.200197	+	0.0645867i
$991$			40.6665i			1.29181i	0.763416	+	0.645907i	$0.223520\pi$
$991$			40.6665i			1.29181i	−0.763416	+	0.645907i	$0.776480\pi$
$992$	−4.68896	+	3.00228i	−0.148875	+	0.0953225i
$993$	−14.9065	+	14.9065i	−0.473044	+	0.473044i
$994$	59.2587	−	19.2543i	1.87957	−	0.610710i
$995$	−7.57316	−	1.18329i	−0.240085	−	0.0375128i
$996$	10.8135	−	7.85648i	0.342639	−	0.248942i
$997$	−25.7500	−	25.7500i	−0.815511	−	0.815511i	0.169943	−	0.985454i	$-0.445642\pi$
$997$	−25.7500	−	25.7500i	−0.815511	−	0.815511i	−0.985454	+	0.169943i	$0.945642\pi$
$998$	−29.7072	−	29.7072i	−0.940364	−	0.940364i
$999$	4.37978	+	6.02824i	0.138570	+	0.190725i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.b.337.4	yes	128
5.3	odd	4		930.2.bj.a.523.12	yes	128
31.23	odd	10		930.2.bj.a.457.12	✓	128
155.23	even	20	inner	930.2.bj.b.643.4	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.457.12	✓	128	31.23	odd	10
930.2.bj.a.523.12	yes	128	5.3	odd	4
930.2.bj.b.337.4	yes	128	1.1	even	1	trivial
930.2.bj.b.643.4	yes	128	155.23	even	20	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.453990 + 0.891007i) q^{2} +(0.891007 - 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-0.354402 - 2.20780i) q^{5} +1.00000i q^{6} +(5.01200 + 0.793822i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +O(q^{10})\)	\(q+(-0.453990 + 0.891007i) q^{2} +(0.891007 - 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-0.354402 - 2.20780i) q^{5} +1.00000i q^{6} +(5.01200 + 0.793822i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +(2.12806 + 0.686548i) q^{10} +(1.73984 + 2.39468i) q^{11} +(-0.891007 - 0.453990i) q^{12} +(2.91665 - 1.48611i) q^{13} +(-2.98270 + 4.10533i) q^{14} +(-1.31810 - 1.80627i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(-6.23926 + 0.988202i) q^{17} +(0.453990 + 0.891007i) q^{18} +(2.09335 - 0.680172i) q^{19} +(-1.57784 + 1.58443i) q^{20} +(4.82611 - 1.56810i) q^{21} +(-2.92354 + 0.463044i) q^{22} +(-0.400690 - 2.52986i) q^{23} +(0.809017 - 0.587785i) q^{24} +(-4.74880 + 1.56490i) q^{25} +3.27344i q^{26} +(0.156434 - 0.987688i) q^{27} +(-2.30376 - 4.52139i) q^{28} +(-0.0924401 - 0.284501i) q^{29} +(2.20780 - 0.354402i) q^{30} +(1.19266 - 5.43853i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(2.63737 + 1.34381i) q^{33} +(1.95207 - 6.00786i) q^{34} +(-0.0236572 - 11.3468i) q^{35} -1.00000 q^{36} +(-5.26888 + 5.26888i) q^{37} +(-0.344325 + 2.17398i) q^{38} +(1.92408 - 2.64827i) q^{39} +(-0.695415 - 2.12518i) q^{40} +(3.24907 + 9.99960i) q^{41} +(-0.793822 + 5.01200i) q^{42} +(-0.501118 + 0.983500i) q^{43} +(0.914686 - 2.81511i) q^{44} +(-1.99446 - 1.01100i) q^{45} +(2.43603 + 0.791514i) q^{46} +(11.2714 - 5.74306i) q^{47} +(0.156434 + 0.987688i) q^{48} +(17.8326 + 5.79415i) q^{49} +(0.761573 - 4.94166i) q^{50} +(-5.11059 + 3.71306i) q^{51} +(-2.91665 - 1.48611i) q^{52} +(-0.724157 - 4.57214i) q^{53} +(0.809017 + 0.587785i) q^{54} +(4.67038 - 4.68990i) q^{55} +5.07447 q^{56} +(1.55640 - 1.55640i) q^{57} +(0.295459 + 0.0467962i) q^{58} +(0.480740 + 0.156202i) q^{59} +(-0.686548 + 2.12806i) q^{60} -8.59453i q^{61} +(4.30430 + 3.53171i) q^{62} +(3.58819 - 3.58819i) q^{63} +(0.951057 - 0.309017i) q^{64} +(-4.31471 - 5.91272i) q^{65} +(-2.39468 + 1.73984i) q^{66} +(5.03781 + 5.03781i) q^{67} +(4.46682 + 4.46682i) q^{68} +(-1.50555 - 2.07221i) q^{69} +(10.1208 + 5.13028i) q^{70} +(-9.93374 - 7.21729i) q^{71} +(0.453990 - 0.891007i) q^{72} +(4.07666 + 0.645679i) q^{73} +(-2.30258 - 7.08663i) q^{74} +(-3.52076 + 3.55025i) q^{75} +(-1.78071 - 1.29376i) q^{76} +(6.81910 + 13.3832i) q^{77} +(1.48611 + 2.91665i) q^{78} +(-5.33462 - 3.87583i) q^{79} +(2.20926 + 0.345193i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-10.3848 - 1.64478i) q^{82} +(-6.06815 + 11.9094i) q^{83} +(-4.10533 - 2.98270i) q^{84} +(4.39296 + 13.4248i) q^{85} +(-0.648802 - 0.892999i) q^{86} +(-0.211526 - 0.211526i) q^{87} +(2.09303 + 2.09303i) q^{88} +(-6.83395 + 4.96516i) q^{89} +(1.80627 - 1.31810i) q^{90} +(15.7980 - 5.13307i) q^{91} +(-1.81118 + 1.81118i) q^{92} +(-1.40637 - 5.38722i) q^{93} +12.6502i q^{94} +(-2.24357 - 4.38066i) q^{95} +(-0.951057 - 0.309017i) q^{96} +(-2.74863 - 0.435340i) q^{97} +(-13.2584 + 13.2584i) q^{98} +2.95999 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 4 q^{7}+O(q^{10}) \) 128 * q + 4 * q^7	\( 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) \) 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Introduction

L-functions

Modular forms

Varieties

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