LMFDB - Embedded newform 280.2.bv.e.117.15

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			117.15
Character	$\chi$	$=$	280.117
Dual form			280.2.bv.e.213.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.614070 + 1.27394i) q^{2} +(2.48518 + 0.665902i) q^{3} +(-1.24584 - 1.56457i) q^{4} +(2.21132 - 0.331769i) q^{5} +(-2.37439 + 2.75706i) q^{6} +(-2.18569 + 1.49090i) q^{7} +(2.75820 - 0.626360i) q^{8} +(3.13462 + 1.80978i) q^{9} +O(q^{10})$	\(q+(-0.614070 + 1.27394i) q^{2} +(2.48518 + 0.665902i) q^{3} +(-1.24584 - 1.56457i) q^{4} +(2.21132 - 0.331769i) q^{5} +(-2.37439 + 2.75706i) q^{6} +(-2.18569 + 1.49090i) q^{7} +(2.75820 - 0.626360i) q^{8} +(3.13462 + 1.80978i) q^{9} +(-0.935251 + 3.02081i) q^{10} +(-1.96732 + 1.13583i) q^{11} +(-2.05428 - 4.71785i) q^{12} +(0.266469 - 0.266469i) q^{13} +(-0.557146 - 3.69994i) q^{14} +(5.71645 + 0.648016i) q^{15} +(-0.895784 + 3.89841i) q^{16} +(5.62393 + 1.50693i) q^{17} +(-4.23042 + 2.88199i) q^{18} +(2.59772 + 1.49979i) q^{19} +(-3.27402 - 3.04644i) q^{20} +(-6.42462 + 2.24969i) q^{21} +(-0.238908 - 3.20372i) q^{22} +(-1.99687 - 7.45242i) q^{23} +(7.27172 + 0.280074i) q^{24} +(4.77986 - 1.46729i) q^{25} +(0.175835 + 0.503096i) q^{26} +(1.12713 + 1.12713i) q^{27} +(5.05563 + 1.56226i) q^{28} -8.88892 q^{29} +(-4.33583 + 6.88448i) q^{30} +(-1.92658 + 1.11231i) q^{31} +(-4.41625 - 3.53507i) q^{32} +(-5.64549 + 1.51270i) q^{33} +(-5.37322 + 6.23918i) q^{34} +(-4.33862 + 4.02199i) q^{35} +(-1.07370 - 7.15903i) q^{36} +(-0.654604 - 2.44302i) q^{37} +(-3.50582 + 2.38835i) q^{38} +(0.839667 - 0.484782i) q^{39} +(5.89145 - 2.30017i) q^{40} +0.631279i q^{41} +(1.07919 - 9.56604i) q^{42} +(-7.46831 - 7.46831i) q^{43} +(4.22804 + 1.66295i) q^{44} +(7.53208 + 2.96202i) q^{45} +(10.7201 + 2.03242i) q^{46} +(1.07540 + 4.01346i) q^{47} +(-4.82214 + 9.09174i) q^{48} +(2.55445 - 6.51727i) q^{49} +(-1.06593 + 6.99026i) q^{50} +(12.9730 + 7.48998i) q^{51} +(-0.748888 - 0.0849338i) q^{52} +(0.645780 - 2.41008i) q^{53} +(-2.12804 + 0.743760i) q^{54} +(-3.97353 + 3.16438i) q^{55} +(-5.09473 + 5.48122i) q^{56} +(5.45708 + 5.45708i) q^{57} +(5.45842 - 11.3239i) q^{58} +(-1.38162 + 0.797678i) q^{59} +(-6.10789 - 9.75113i) q^{60} +(3.61096 - 6.25437i) q^{61} +(-0.233961 - 3.13738i) q^{62} +(-9.54949 + 0.717797i) q^{63} +(7.21535 - 3.45525i) q^{64} +(0.500842 - 0.677654i) q^{65} +(1.53963 - 8.12091i) q^{66} +(-3.68507 - 0.987412i) q^{67} +(-4.64880 - 10.6764i) q^{68} -19.8503i q^{69} +(-2.45955 - 7.99691i) q^{70} -7.81014 q^{71} +(9.77949 + 3.02832i) q^{72} +(0.809910 - 3.02262i) q^{73} +(3.51423 + 0.666258i) q^{74} +(12.8559 - 0.463573i) q^{75} +(-0.889793 - 5.93282i) q^{76} +(2.60653 - 5.41563i) q^{77} +(0.101968 + 1.36737i) q^{78} +(14.7923 + 8.54036i) q^{79} +(-0.687494 + 8.91781i) q^{80} +(-3.37875 - 5.85217i) q^{81} +(-0.804211 - 0.387650i) q^{82} +(-8.50310 + 8.50310i) q^{83} +(11.5238 + 7.24904i) q^{84} +(12.9363 + 1.46645i) q^{85} +(14.1002 - 4.92810i) q^{86} +(-22.0906 - 5.91915i) q^{87} +(-4.71481 + 4.36510i) q^{88} +(3.06855 - 5.31488i) q^{89} +(-8.39865 + 7.77651i) q^{90} +(-0.185140 + 0.979696i) q^{91} +(-9.17210 + 12.4088i) q^{92} +(-5.52859 + 1.48138i) q^{93} +(-5.77327 - 1.09455i) q^{94} +(6.24197 + 2.45468i) q^{95} +(-8.62118 - 11.7261i) q^{96} +(7.08893 - 7.08893i) q^{97} +(6.73398 + 7.25627i) q^{98} -8.22239 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 $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$-1$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	−0.614070	+	1.27394i	−0.434213	+	0.900810i
$2$	−0.614070	+	1.27394i	−0.434213	+	0.900810i
$3$	2.48518	+	0.665902i	1.43482	+	0.384459i	0.890716	−	0.454559i	$-0.150203\pi$
$3$	2.48518	+	0.665902i	1.43482	+	0.384459i	0.544103	+	0.839018i	$0.316870\pi$
$4$	−1.24584	−	1.56457i	−0.622918	−	0.782287i
$5$	2.21132	−	0.331769i	0.988932	−	0.148372i
$5$	2.21132	−	0.331769i	0.988932	−	0.148372i
$6$	−2.37439	+	2.75706i	−0.969342	+	1.12556i
$7$	−2.18569	+	1.49090i	−0.826112	+	0.563506i
$7$	−2.18569	+	1.49090i	−0.826112	+	0.563506i
$8$	2.75820	−	0.626360i	0.975171	−	0.221452i
$9$	3.13462	+	1.80978i	1.04487	+	0.603258i
$10$	−0.935251	+	3.02081i	−0.295752	+	0.955265i
$11$	−1.96732	+	1.13583i	−0.593168	+	0.342466i	−0.766349	−	0.642424i	$-0.777929\pi$
$11$	−1.96732	+	1.13583i	−0.593168	+	0.342466i	0.173181	+	0.984890i	$0.444595\pi$
$12$	−2.05428	−	4.71785i	−0.593018	−	1.36193i
$13$	0.266469	−	0.266469i	0.0739053	−	0.0739053i	−0.669188	−	0.743093i	$-0.733358\pi$
$13$	0.266469	−	0.266469i	0.0739053	−	0.0739053i	0.743093	+	0.669188i	$0.233358\pi$
$14$	−0.557146	−	3.69994i	−0.148903	−	0.988852i
$15$	5.71645	+	0.648016i	1.47598	+	0.167317i
$16$	−0.895784	+	3.89841i	−0.223946	+	0.974602i
$17$	5.62393	+	1.50693i	1.36400	+	0.365484i	0.865285	−	0.501280i	$-0.167137\pi$
$17$	5.62393	+	1.50693i	1.36400	+	0.365484i	0.498719	+	0.866764i	$0.333804\pi$
$18$	−4.23042	+	2.88199i	−0.997119	+	0.679291i
$19$	2.59772	+	1.49979i	0.595957	+	0.344076i	0.767450	−	0.641109i	$-0.221526\pi$
$19$	2.59772	+	1.49979i	0.595957	+	0.344076i	−0.171492	+	0.985185i	$0.554859\pi$
$20$	−3.27402	−	3.04644i	−0.732093	−	0.681205i
$21$	−6.42462	+	2.24969i	−1.40197	+	0.490924i
$22$	−0.238908	−	3.20372i	−0.0509353	−	0.683035i
$23$	−1.99687	−	7.45242i	−0.416376	−	1.55394i	−0.782063	−	0.623200i	$-0.785832\pi$
$23$	−1.99687	−	7.45242i	−0.416376	−	1.55394i	0.365686	−	0.930738i	$-0.380834\pi$
$24$	7.27172	+	0.280074i	1.48433	+	0.0571698i
$25$	4.77986	−	1.46729i	0.955972	−	0.293459i
$26$	0.175835	+	0.503096i	0.0344840	+	0.0986652i
$27$	1.12713	+	1.12713i	0.216917	+	0.216917i
$28$	5.05563	+	1.56226i	0.955424	+	0.295239i
$29$	−8.88892			−1.65063			−0.825315	−	0.564672i	$-0.809003\pi$
$29$	−8.88892			−1.65063			−0.825315	+	0.564672i	$0.809003\pi$
$30$	−4.33583	+	6.88448i	−0.791611	+	1.25693i
$31$	−1.92658	+	1.11231i	−0.346024	+	0.199777i	−0.662933	−	0.748679i	$-0.730688\pi$
$31$	−1.92658	+	1.11231i	−0.346024	+	0.199777i	0.316909	+	0.948456i	$0.397355\pi$
$32$	−4.41625	−	3.53507i	−0.780691	−	0.624918i
$33$	−5.64549	+	1.51270i	−0.982753	+	0.263328i
$34$	−5.37322	+	6.23918i	−0.921500	+	1.07001i
$35$	−4.33862	+	4.02199i	−0.733360	+	0.679841i
$36$	−1.07370	−	7.15903i	−0.178950	−	1.19317i
$37$	−0.654604	−	2.44302i	−0.107616	−	0.401630i	0.891013	−	0.453979i	$-0.149996\pi$
$37$	−0.654604	−	2.44302i	−0.107616	−	0.401630i	−0.998629	+	0.0523492i	$0.983329\pi$
$38$	−3.50582	+	2.38835i	−0.568720	+	0.387442i
$39$	0.839667	−	0.484782i	0.134454	−	0.0776272i
$40$	5.89145	−	2.30017i	0.931521	−	0.363688i
$41$			0.631279i			0.0985893i	0.998784	+	0.0492946i	$0.0156973\pi$
$41$			0.631279i			0.0985893i	−0.998784	+	0.0492946i	$0.984303\pi$
$42$	1.07919	−	9.56604i	0.166523	−	1.47607i
$43$	−7.46831	−	7.46831i	−1.13891	−	1.13891i	−0.988646	−	0.150261i	$-0.951989\pi$
$43$	−7.46831	−	7.46831i	−1.13891	−	1.13891i	−0.150261	−	0.988646i	$-0.548011\pi$
$44$	4.22804	+	1.66295i	0.637402	+	0.250700i
$45$	7.53208	+	2.96202i	1.12282	+	0.441552i
$46$	10.7201	+	2.03242i	1.58060	+	0.299664i
$47$	1.07540	+	4.01346i	0.156864	+	0.585423i	0.998939	+	0.0460623i	$0.0146673\pi$
$47$	1.07540	+	4.01346i	0.156864	+	0.585423i	−0.842075	+	0.539360i	$0.818666\pi$
$48$	−4.82214	+	9.09174i	−0.696016	+	1.31228i
$49$	2.55445	−	6.51727i	0.364922	−	0.931038i
$50$	−1.06593	+	6.99026i	−0.150745	+	0.988573i
$51$	12.9730	+	7.48998i	1.81659	+	1.04881i
$52$	−0.748888	−	0.0849338i	−0.103852	−	0.0117782i
$53$	0.645780	−	2.41008i	0.0887047	−	0.331050i	−0.907285	−	0.420516i	$-0.861849\pi$
$53$	0.645780	−	2.41008i	0.0887047	−	0.331050i	0.995990	+	0.0894653i	$0.0285158\pi$
$54$	−2.12804	+	0.743760i	−0.289590	+	0.101213i
$55$	−3.97353	+	3.16438i	−0.535791	+	0.426685i
$56$	−5.09473	+	5.48122i	−0.680811	+	0.732459i
$57$	5.45708	+	5.45708i	0.722808	+	0.722808i
$58$	5.45842	−	11.3239i	0.716725	−	1.48690i
$59$	−1.38162	+	0.797678i	−0.179871	+	0.103849i	−0.587232	−	0.809418i	$-0.699782\pi$
$59$	−1.38162	+	0.797678i	−0.179871	+	0.103849i	0.407361	+	0.913267i	$0.366449\pi$
$60$	−6.10789	−	9.75113i	−0.788526	−	1.25887i
$61$	3.61096	−	6.25437i	0.462337	−	0.800791i	−0.536740	−	0.843748i	$-0.680344\pi$
$61$	3.61096	−	6.25437i	0.462337	−	0.800791i	0.999077	+	0.0429569i	$0.0136778\pi$
$62$	−0.233961	−	3.13738i	−0.0297131	−	0.398448i
$63$	−9.54949	+	0.717797i	−1.20312	+	0.0904339i
$64$	7.21535	−	3.45525i	0.901918	−	0.431907i
$65$	0.500842	−	0.677654i	0.0621218	−	0.0840527i
$66$	1.53963	−	8.12091i	0.189516	−	0.999615i
$67$	−3.68507	−	0.987412i	−0.450203	−	0.120632i	0.0265912	−	0.999646i	$-0.491535\pi$
$67$	−3.68507	−	0.987412i	−0.450203	−	0.120632i	−0.476794	+	0.879015i	$0.658201\pi$
$68$	−4.64880	−	10.6764i	−0.563750	−	1.29471i
$69$		−	19.8503i		−	2.38970i
$70$	−2.45955	−	7.99691i	−0.293973	−	0.955814i
$71$	−7.81014			−0.926893			−0.463447	−	0.886125i	$-0.653387\pi$
$71$	−7.81014			−0.926893			−0.463447	+	0.886125i	$0.653387\pi$
$72$	9.77949	+	3.02832i	1.15252	+	0.356891i
$73$	0.809910	−	3.02262i	0.0947928	−	0.353771i	−0.902195	−	0.431328i	$-0.858045\pi$
$73$	0.809910	−	3.02262i	0.0947928	−	0.353771i	0.996988	+	0.0775566i	$0.0247118\pi$
$74$	3.51423	+	0.666258i	0.408520	+	0.0774509i
$75$	12.8559	−	0.463573i	1.48447	−	0.0535288i
$76$	−0.889793	−	5.93282i	−0.102066	−	0.680541i
$77$	2.60653	−	5.41563i	0.297042	−	0.617169i
$78$	0.101968	+	1.36737i	0.0115456	+	0.154825i
$79$	14.7923	+	8.54036i	1.66427	+	0.960865i	0.970642	+	0.240530i	$0.0773212\pi$
$79$	14.7923	+	8.54036i	1.66427	+	0.960865i	0.693626	+	0.720335i	$0.256012\pi$
$80$	−0.687494	+	8.91781i	−0.0768641	+	0.997042i
$81$	−3.37875	−	5.85217i	−0.375417	−	0.650241i
$82$	−0.804211	−	0.387650i	−0.0888102	−	0.0428087i
$83$	−8.50310	+	8.50310i	−0.933336	+	0.933336i	−0.997913	−	0.0645764i	$-0.979430\pi$
$83$	−8.50310	+	8.50310i	−0.933336	+	0.933336i	0.0645764	+	0.997913i	$0.479430\pi$
$84$	11.5238	+	7.24904i	1.25735	+	0.790935i
$85$	12.9363	+	1.46645i	1.40313	+	0.159059i
$86$	14.1002	−	4.92810i	1.52047	−	0.531411i
$87$	−22.0906	−	5.91915i	−2.36836	−	0.634599i
$88$	−4.71481	+	4.36510i	−0.502601	+	0.465321i
$89$	3.06855	−	5.31488i	0.325265	−	0.563376i	−0.656301	−	0.754500i	$-0.727880\pi$
$89$	3.06855	−	5.31488i	0.325265	−	0.563376i	0.981566	+	0.191123i	$0.0612130\pi$
$90$	−8.39865	+	7.77651i	−0.885295	+	0.819716i
$91$	−0.185140	+	0.979696i	−0.0194080	+	0.102700i
$92$	−9.17210	+	12.4088i	−0.956257	+	1.29370i
$93$	−5.52859	+	1.48138i	−0.573288	+	0.153612i
$94$	−5.77327	−	1.09455i	−0.595467	−	0.112894i
$95$	6.24197	+	2.45468i	0.640412	+	0.251845i
$96$	−8.62118	−	11.7261i	−0.879896	−	1.19679i
$97$	7.08893	−	7.08893i	0.719772	−	0.719772i	−0.248787	−	0.968558i	$-0.580032\pi$
$97$	7.08893	−	7.08893i	0.719772	−	0.719772i	0.968558	+	0.248787i	$0.0800318\pi$
$98$	6.73398	+	7.25627i	0.680235	+	0.732994i
$99$	−8.22239			−0.826381
$100$	−8.25061	−	5.65043i	−0.825061	−	0.565043i
$101$	0.992304	+	1.71872i	0.0987380	+	0.171019i	0.911163	−	0.412047i	$-0.135186\pi$
$101$	0.992304	+	1.71872i	0.0987380	+	0.171019i	−0.812425	+	0.583066i	$0.801853\pi$
$102$	−17.5081	+	11.9275i	−1.73356	+	1.18099i
$103$	9.25736	−	2.48050i	0.912154	−	0.244411i	0.227926	−	0.973679i	$-0.426806\pi$
$103$	9.25736	−	2.48050i	0.912154	−	0.244411i	0.684229	+	0.729267i	$0.260139\pi$
$104$	0.568070	−	0.901881i	0.0557038	−	0.0884367i
$105$	−13.4605	+	7.10628i	−1.31361	+	0.693502i
$106$	2.67374	+	2.30264i	0.259697	+	0.223652i
$107$	0.0651921	+	0.243300i	0.00630236	+	0.0235207i	0.969005	−	0.247040i	$-0.0794577\pi$
$107$	0.0651921	+	0.243300i	0.00630236	+	0.0235207i	−0.962703	+	0.270560i	$0.912791\pi$
$108$	0.359261	−	3.16771i	0.0345699	−	0.304813i
$109$	6.40394	+	11.0919i	0.613386	+	1.06242i	0.990665	+	0.136316i	$0.0435262\pi$
$109$	6.40394	+	11.0919i	0.613386	+	1.06242i	−0.377280	+	0.926099i	$0.623140\pi$
$110$	−1.59120	−	7.00518i	−0.151715	−	0.667918i
$111$		−	6.50724i		−	0.617640i
$112$	−3.85422	−	9.85622i	−0.364189	−	0.931325i
$113$	−10.0319	+	10.0319i	−0.943721	+	0.943721i	−0.998499	−	0.0547780i	$-0.982555\pi$
$113$	−10.0319	+	10.0319i	−0.943721	+	0.943721i	0.0547780	+	0.998499i	$0.482555\pi$
$114$	−10.3030	+	3.60095i	−0.964966	+	0.337260i
$115$	−6.88820	−	15.8172i	−0.642328	−	1.47496i
$116$	11.0741	+	13.9074i	1.02821	+	1.29127i
$117$	1.31753	−	0.353031i	0.121806	−	0.0326377i
$118$	−0.167782	−	2.24993i	−0.0154456	−	0.207123i
$119$	−14.5388	+	5.09103i	−1.33277	+	0.466694i
$120$	16.1730	−	1.79320i	1.47639	−	0.163696i
$121$	−2.91978	+	5.05720i	−0.265434	+	0.459746i
$122$	5.75030	+	8.44077i	0.520608	+	0.764191i
$123$	−0.420370	+	1.56884i	−0.0379035	+	0.141458i
$124$	4.14050	+	1.62852i	0.371828	+	0.146245i
$125$	10.0830	−	4.83046i	0.901850	−	0.432050i
$126$	4.94963	−	12.6062i	0.440948	−	1.12305i
$127$	1.73859	+	1.73859i	0.154275	+	0.154275i	0.780024	−	0.625749i	$-0.215207\pi$
$127$	1.73859	+	1.73859i	0.154275	+	0.154275i	−0.625749	+	0.780024i	$0.715207\pi$
$128$	−0.0289467	+	11.3137i	−0.00255855	+	0.999997i
$129$	−13.5869	−	23.5333i	−1.19626	−	2.07199i
$130$	0.555738	+	1.05417i	0.0487414	+	0.0924567i
$131$	−9.62714	+	16.6747i	−0.841127	+	1.45687i	0.0478159	+	0.998856i	$0.484774\pi$
$131$	−9.62714	+	16.6747i	−0.841127	+	1.45687i	−0.888943	+	0.458018i	$0.848559\pi$
$132$	9.40009	+	6.94820i	0.818173	+	0.604764i
$133$	−7.91383	+	0.594851i	−0.686216	+	0.0515801i
$134$	3.52079	−	4.08821i	0.304150	−	0.353168i
$135$	2.86640	+	2.11851i	0.246701	+	0.182332i
$136$	16.4558	+	0.633804i	1.41107	+	0.0543482i
$137$	2.58733	−	9.65606i	0.221051	−	0.824973i	−0.762898	−	0.646519i	$-0.776224\pi$
$137$	2.58733	−	9.65606i	0.221051	−	0.824973i	0.983948	−	0.178453i	$-0.0571094\pi$
$138$	25.2881	+	12.1895i	2.15267	+	1.03764i
$139$			0.593011i			0.0502985i	0.999684	+	0.0251493i	$0.00800610\pi$
$139$			0.593011i			0.0502985i	−0.999684	+	0.0251493i	$0.991994\pi$
$140$	11.6979	+	1.77734i	0.988654	+	0.150213i
$141$			10.6903i			0.900284i
$142$	4.79597	−	9.94964i	0.402469	−	0.834955i
$143$	−0.221565	+	0.826893i	−0.0185282	+	0.0691483i
$144$	−9.86318	+	10.5989i	−0.821932	+	0.883239i
$145$	−19.6562	+	2.94907i	−1.63236	+	0.244907i
$146$	3.35329	+	2.88788i	0.277521	+	0.239002i
$147$	10.6881	−	14.4956i	0.881543	−	1.19557i
$148$	−3.00675	+	4.06778i	−0.247153	+	0.334369i
$149$	−8.73650	+	15.1321i	−0.715722	+	1.23967i	0.246958	+	0.969026i	$0.420569\pi$
$149$	−8.73650	+	15.1321i	−0.715722	+	1.23967i	−0.962680	+	0.270641i	$0.912764\pi$
$150$	−7.30385	+	16.6623i	−0.596357	+	1.36047i
$151$	5.11662	+	8.86224i	0.416385	+	0.721199i	0.995573	−	0.0939947i	$-0.0299637\pi$
$151$	5.11662	+	8.86224i	0.416385	+	0.721199i	−0.579188	+	0.815194i	$0.696630\pi$
$152$	8.10444	+	2.50962i	0.657357	+	0.203557i
$153$	14.9017	+	14.9017i	1.20473	+	1.20473i
$154$	5.29859	+	6.64614i	0.426973	+	0.535561i
$155$	−3.89125	+	3.09886i	−0.312553	+	0.248906i
$156$	−1.80456	−	0.709762i	−0.144481	−	0.0568264i
$157$	−3.01367	+	11.2472i	−0.240517	+	0.897621i	0.735067	+	0.677994i	$0.237151\pi$
$157$	−3.01367	+	11.2472i	−0.240517	+	0.897621i	−0.975584	+	0.219627i	$0.929516\pi$
$158$	−19.9634	+	13.6001i	−1.58820	+	1.08197i
$159$	3.20976	−	5.55947i	0.254550	−	0.440894i
$160$	−10.9386	−	6.35198i	−0.864770	−	0.502168i
$161$	15.4753	+	13.3115i	1.21963	+	1.04910i
$162$	9.53009	−	0.710679i	0.748755	−	0.0558362i
$163$	16.6963	−	4.47376i	1.30775	−	0.350412i	0.463378	−	0.886161i	$-0.346637\pi$
$163$	16.6963	−	4.47376i	1.30775	−	0.350412i	0.844377	+	0.535749i	$0.179971\pi$
$164$	0.987683	−	0.786471i	0.0771251	−	0.0614130i
$165$	−11.9821	+	5.21807i	−0.932806	+	0.406226i
$166$	−5.61092	−	16.0539i	−0.435492	−	1.24603i
$167$	−0.291949	+	0.291949i	−0.0225917	+	0.0225917i	−0.718312	−	0.695721i	$-0.755085\pi$
$167$	−0.291949	+	0.291949i	−0.0225917	+	0.0225917i	0.695721	+	0.718312i	$0.255085\pi$
$168$	−16.3113	+	10.2292i	−1.25844	+	0.789203i
$169$			12.8580i			0.989076i
$170$	−9.81194	+	15.5795i	−0.752541	+	1.19489i
$171$	5.42858	+	9.40257i	0.415134	+	0.719032i
$172$	−2.38043	+	20.9890i	−0.181506	+	1.60040i
$173$	−2.34863	−	8.76520i	−0.178563	−	0.666406i	−0.995917	−	0.0902708i	$-0.971227\pi$
$173$	−2.34863	−	8.76520i	−0.178563	−	0.666406i	0.817354	−	0.576135i	$-0.195440\pi$
$174$	21.1058	−	24.5072i	1.60003	−	1.85789i
$175$	−8.25969	+	10.3333i	−0.624374	+	0.781126i
$176$	−2.66564	−	8.68686i	−0.200930	−	0.654796i
$177$	−3.96475	+	1.06235i	−0.298009	+	0.0798512i
$178$	4.88653	+	7.17285i	0.366261	+	0.537628i
$179$	−5.02822	−	8.70913i	−0.375827	−	0.650951i	0.614624	−	0.788821i	$-0.289308\pi$
$179$	−5.02822	−	8.70913i	−0.375827	−	0.650951i	−0.990450	+	0.137869i	$0.955975\pi$
$180$	−4.74944	−	15.4747i	−0.354002	−	1.15341i
$181$	−15.6839			−1.16578			−0.582888	−	0.812553i	$-0.698077\pi$
$181$	−15.6839			−1.16578			−0.582888	+	0.812553i	$0.698077\pi$
$182$	−1.13438	−	0.837459i	−0.0840861	−	0.0620766i
$183$	13.1387	−	13.1387i	0.971241	−	0.971241i
$184$	−10.1757	−	19.3045i	−0.750161	−	1.42315i
$185$	−2.25806	−	5.18511i	−0.166016	−	0.381217i
$186$	1.50775	−	7.95276i	0.110554	−	0.583124i
$187$	−12.7757	+	3.42323i	−0.934249	+	0.250331i
$188$	4.93957	−	6.68266i	0.360256	−	0.487383i
$189$	−4.14401	−	0.783122i	−0.301432	−	0.0569638i
$190$	−6.96011	+	6.44453i	−0.504939	+	0.467536i
$191$	5.25829	−	9.10763i	0.380477	−	0.659005i	−0.610654	−	0.791898i	$-0.709093\pi$
$191$	5.25829	−	9.10763i	0.380477	−	0.659005i	0.991130	+	0.132893i	$0.0424267\pi$
$192$	20.2323	−	3.78222i	1.46014	−	0.272958i
$193$	10.2673	+	2.75110i	0.739054	+	0.198029i	0.608657	−	0.793433i	$-0.291708\pi$
$193$	10.2673	+	2.75110i	0.739054	+	0.198029i	0.130396	+	0.991462i	$0.458375\pi$
$194$	4.67776	+	13.3840i	0.335844	+	0.960912i
$195$	1.69593	−	1.35058i	0.121448	−	0.0967172i
$196$	−13.3792	+	4.12282i	−0.955656	+	0.294487i
$197$	1.31944	−	1.31944i	0.0940062	−	0.0940062i	−0.658540	−	0.752546i	$-0.728826\pi$
$197$	1.31944	−	1.31944i	0.0940062	−	0.0940062i	0.752546	+	0.658540i	$0.228826\pi$
$198$	5.04912	−	10.4748i	0.358826	−	0.744413i
$199$	−0.660921	−	1.14475i	−0.0468514	−	0.0811491i	0.841649	−	0.540025i	$-0.181585\pi$
$199$	−0.660921	−	1.14475i	−0.0468514	−	0.0811491i	−0.888500	+	0.458876i	$0.848252\pi$
$200$	12.2648	−	7.04101i	0.867249	−	0.497874i
$201$	−8.50055	−	4.90780i	−0.599583	−	0.346169i
$202$	−2.79889	+	0.208719i	−0.196929	+	0.0146854i
$203$	19.4284	−	13.2525i	1.36361	−	0.930140i
$204$	−4.44364	−	29.6285i	−0.311117	−	2.07441i
$205$	0.209439	+	1.39596i	0.0146278	+	0.0974980i
$206$	−2.52466	+	13.3165i	−0.175901	+	0.927804i
$207$	7.22778	−	26.9744i	0.502365	−	1.87485i
$208$	0.800106	+	1.27750i	0.0554774	+	0.0885790i
$209$	−6.81404			−0.471337
$210$	−0.787274	−	21.5116i	−0.0543270	−	1.48444i
$211$			6.65971i			0.458473i	0.973371	+	0.229237i	$0.0736229\pi$
$211$			6.65971i			0.458473i	−0.973371	+	0.229237i	$0.926377\pi$
$212$	−4.57529	+	1.99220i	−0.314232	+	0.136825i
$213$	−19.4096	−	5.20079i	−1.32992	−	0.356352i
$214$	−0.349982	−	0.0663526i	−0.0239243	−	0.00453577i
$215$	−18.9926	−	14.0371i	−1.29528	−	0.957320i
$216$	3.81486	+	2.40287i	0.259568	+	0.163495i
$217$	2.55256	−	5.30350i	0.173279	−	0.360025i
$218$	−18.0629	+	1.34699i	−1.22337	+	0.0912296i
$219$	4.02554	−	6.97245i	0.272021	−	0.471154i
$220$	9.90127	+	2.27458i	0.667543	+	0.153352i
$221$	1.90015	−	1.09705i	0.127818	−	0.0737959i
$222$	8.28982	+	3.99590i	0.556376	+	0.268187i
$223$	2.20733	+	2.20733i	0.147814	+	0.147814i	0.777141	−	0.629327i	$-0.216669\pi$
$223$	2.20733	+	2.20733i	0.147814	+	0.147814i	−0.629327	+	0.777141i	$0.716669\pi$
$224$	14.9230	+	1.14237i	0.997083	+	0.0763280i
$225$	17.6385	+	4.05106i	1.17590	+	0.270070i
$226$	−6.61972	−	18.9403i	−0.440337	−	1.25989i
$227$	5.79069	−	21.6111i	0.384341	−	1.43438i	−0.454861	−	0.890562i	$-0.650311\pi$
$227$	5.79069	−	21.6111i	0.384341	−	1.43438i	0.839203	−	0.543819i	$-0.183022\pi$
$228$	1.73938	−	15.3366i	0.115193	−	1.01569i
$229$	−8.05287	−	4.64933i	−0.532149	−	0.307236i	0.209742	−	0.977757i	$-0.432738\pi$
$229$	−8.05287	−	4.64933i	−0.532149	−	0.307236i	−0.741891	+	0.670520i	$0.766071\pi$
$230$	24.3799	+	0.937715i	1.60757	+	0.0618311i
$231$	10.0840	−	11.7231i	0.663477	−	0.771326i
$232$	−24.5174	+	5.56766i	−1.60965	+	0.365535i
$233$	−4.26849	−	15.9302i	−0.279638	−	1.04362i	−0.952669	−	0.304009i	$-0.901675\pi$
$233$	−4.26849	−	15.9302i	−0.279638	−	1.04362i	0.673031	−	0.739614i	$-0.264992\pi$
$234$	−0.359316	+	1.89524i	−0.0234892	+	0.123896i
$235$	3.70960	+	8.51824i	0.241987	+	0.555669i
$236$	2.96930	+	1.16787i	0.193285	+	0.0760218i
$237$	31.0746	+	31.0746i	2.01851	+	2.01851i
$238$	2.44220	−	21.6478i	0.158304	−	1.40322i
$239$			12.4926i			0.808078i	0.914742	+	0.404039i	$0.132394\pi$
$239$			12.4926i			0.808078i	−0.914742	+	0.404039i	$0.867606\pi$
$240$	−7.64694	+	21.7046i	−0.493608	+	1.40102i
$241$	−15.5296	+	8.96602i	−1.00035	+	0.577552i	−0.908352	−	0.418207i	$-0.862659\pi$
$241$	−15.5296	+	8.96602i	−1.00035	+	0.577552i	−0.0919978	+	0.995759i	$0.529325\pi$
$242$	−4.64962	−	6.82509i	−0.298889	−	0.438734i
$243$	−5.73752	−	21.4127i	−0.368062	−	1.37363i
$244$	−14.2841	+	2.14230i	−0.914446	+	0.137147i
$245$	3.48648	−	15.2592i	0.222743	−	0.974877i
$246$	−1.74047	−	1.49891i	−0.110968	−	0.0955667i
$247$	1.09186	−	0.292563i	0.0694734	−	0.0186153i
$248$	−4.61719	+	4.27471i	−0.293192	+	0.271445i
$249$	−26.7940	+	15.4695i	−1.69800	+	0.980340i
$250$	−0.0379479	+	15.8113i	−0.00240004	+	0.999997i
$251$	−15.7482			−0.994015			−0.497007	−	0.867746i	$-0.665568\pi$
$251$	−15.7482			−0.994015			−0.497007	+	0.867746i	$0.665568\pi$
$252$	13.0201	+	14.0466i	0.820192	+	0.884854i
$253$	12.3932	+	12.3932i	0.779152	+	0.779152i
$254$	−3.28248	+	1.14724i	−0.205961	+	0.0719843i
$255$	31.1724	+	12.2587i	1.95209	+	0.767668i
$256$	−14.3951	−	6.98426i	−0.899696	−	0.436516i
$257$	7.30733	+	27.2713i	0.455818	+	1.70114i	0.685671	+	0.727912i	$0.259509\pi$
$257$	7.30733	+	27.2713i	0.455818	+	1.70114i	−0.229852	+	0.973226i	$0.573824\pi$
$258$	38.3233	−	2.85785i	2.38590	−	0.177922i
$259$	5.07305	+	4.36372i	0.315224	+	0.271149i
$260$	−1.68421	+	0.0606420i	−0.104450	+	0.00376086i
$261$	−27.8634	−	16.0869i	−1.72470	−	0.995757i
$262$	−15.3308	−	22.5038i	−0.947139	−	1.39029i
$263$	−1.15767	−	0.310196i	−0.0713848	−	0.0191275i	0.222950	−	0.974830i	$-0.428431\pi$
$263$	−1.15767	−	0.310196i	−0.0713848	−	0.0191275i	−0.294335	+	0.955702i	$0.595098\pi$
$264$	−14.6239	+	7.70845i	−0.900039	+	0.474422i
$265$	0.628434	−	5.54371i	0.0386044	−	0.340547i
$266$	4.10184	−	10.4470i	0.251500	−	0.640547i
$267$	11.1651	−	11.1651i	0.683292	−	0.683292i
$268$	3.04612	+	6.99572i	0.186071	+	0.427332i
$269$	12.5767	−	7.26116i	0.766814	−	0.442721i	−0.0649226	−	0.997890i	$-0.520680\pi$
$269$	12.5767	−	7.26116i	0.766814	−	0.442721i	0.831737	+	0.555170i	$0.187347\pi$
$270$	−4.45902	+	2.35071i	−0.271367	+	0.143060i
$271$	22.1123	+	12.7665i	1.34323	+	0.775512i	0.987280	−	0.158994i	$-0.0508251\pi$
$271$	22.1123	+	12.7665i	1.34323	+	0.775512i	0.355947	+	0.934506i	$0.384158\pi$
$272$	−10.9125	+	20.5745i	−0.661664	+	1.24751i
$273$	−1.11249	+	2.31144i	−0.0673309	+	0.139895i
$274$	10.7124	+	9.22560i	0.647161	+	0.557339i
$275$	−7.73690	+	8.31574i	−0.466552	+	0.501458i
$276$	−31.0573	+	24.7303i	−1.86943	+	1.48859i
$277$	2.27883	+	0.610610i	0.136922	+	0.0366880i	0.326629	−	0.945153i	$-0.394087\pi$
$277$	2.27883	+	0.610610i	0.136922	+	0.0366880i	−0.189707	+	0.981841i	$0.560754\pi$
$278$	−0.755459	−	0.364150i	−0.0453094	−	0.0218403i
$279$	−8.05214			−0.482069
$280$	−9.44756	+	13.8110i	−0.564600	+	0.825365i
$281$	−1.71589			−0.102361			−0.0511807	−	0.998689i	$-0.516298\pi$
$281$	−1.71589			−0.102361			−0.0511807	+	0.998689i	$0.516298\pi$
$282$	−13.6188	−	6.56458i	−0.810985	−	0.390915i
$283$	−0.278331	−	0.0745786i	−0.0165451	−	0.00443324i	0.250537	−	0.968107i	$-0.419393\pi$
$283$	−0.278331	−	0.0745786i	−0.0165451	−	0.00443324i	−0.267082	+	0.963674i	$0.586059\pi$
$284$	9.73016	+	12.2195i	0.577379	+	0.725097i
$285$	13.8778	+	10.2569i	0.822052	+	0.607564i
$286$	−0.917354	−	0.790031i	−0.0542443	−	0.0467155i
$287$	−0.941172	−	1.37978i	−0.0555556	−	0.0814458i
$288$	−7.44561	−	19.0735i	−0.438737	−	1.12392i
$289$	14.6354	+	8.44973i	0.860904	+	0.497043i
$290$	8.31337	−	26.8517i	0.488178	−	1.57679i
$291$	22.3378	−	12.8967i	1.30947	−	0.756020i
$292$	−5.73813	+	2.49853i	−0.335799	+	0.146215i
$293$	−0.120381	+	0.120381i	−0.00703275	+	0.00703275i	−0.710614	−	0.703582i	$-0.751583\pi$
$293$	−0.120381	+	0.120381i	−0.00703275	+	0.00703275i	0.703582	+	0.710614i	$0.251583\pi$
$294$	11.9032	+	22.5173i	0.694208	+	1.31324i
$295$	−2.79055	+	2.22230i	−0.162472	+	0.129387i
$296$	−3.33574	−	6.32831i	−0.193886	−	0.367826i
$297$	−3.49766	−	0.937196i	−0.202955	−	0.0543817i
$298$	−13.9125	−	20.4219i	−0.805929	−	1.18301i
$299$	−2.51795	−	1.45374i	−0.145617	−	0.0840718i
$300$	−16.7416	−	19.5365i	−0.966578	−	1.12794i
$301$	27.4579	+	5.18891i	1.58265	+	0.299084i
$302$	−14.4319	+	1.07622i	−0.830463	+	0.0619294i
$303$	1.32156	+	4.93211i	0.0759214	+	0.283342i
$304$	−8.17380	+	8.78347i	−0.468799	+	0.503766i
$305$	5.90999	−	15.0284i	0.338405	−	0.860525i
$306$	−28.1345	+	9.83316i	−1.60834	+	0.562124i
$307$	6.77266	+	6.77266i	0.386536	+	0.386536i	0.873450	−	0.486914i	$-0.161877\pi$
$307$	6.77266	+	6.77266i	0.386536	+	0.386536i	−0.486914	+	0.873450i	$0.661877\pi$
$308$	−11.7205	+	2.66888i	−0.667836	+	0.152074i
$309$	24.6580			1.40274
$310$	−1.55825	−	6.86013i	−0.0885026	−	0.389629i
$311$	−2.69965	+	1.55864i	−0.153083	+	0.0883824i	−0.574585	−	0.818445i	$-0.694836\pi$
$311$	−2.69965	+	1.55864i	−0.153083	+	0.0883824i	0.421502	+	0.906828i	$0.361503\pi$
$312$	2.01232	−	1.86306i	0.113925	−	0.105475i
$313$	18.2884	−	4.90038i	1.03372	−	0.276986i	0.298214	−	0.954499i	$-0.403609\pi$
$313$	18.2884	−	4.90038i	1.03372	−	0.276986i	0.735510	+	0.677513i	$0.236942\pi$
$314$	−12.4776	−	10.7458i	−0.704151	−	0.606419i
$315$	−20.8788	+	4.75550i	−1.17639	+	0.267942i
$316$	−5.06680	−	33.7836i	−0.285030	−	1.90048i
$317$	7.05051	+	26.3129i	0.395996	+	1.47788i	0.820077	+	0.572253i	$0.193930\pi$
$317$	7.05051	+	26.3129i	0.395996	+	1.47788i	−0.424081	+	0.905624i	$0.639403\pi$
$318$	5.11140	+	7.50294i	0.286633	+	0.420744i
$319$	17.4873	−	10.0963i	0.979101	−	0.565284i
$320$	14.8091	−	10.0345i	0.827853	−	0.560945i
$321$			0.648057i			0.0361710i
$322$	−26.4610	+	11.5404i	−1.47461	+	0.643121i
$323$	12.3493	+	12.3493i	0.687134	+	0.687134i
$324$	−4.94678	+	12.5772i	−0.274821	+	0.698731i
$325$	0.882696	−	1.66467i	0.0489632	−	0.0923395i
$326$	−4.55340	+	24.0172i	−0.252190	+	1.33019i
$327$	8.52879	+	31.8299i	0.471643	+	1.76020i
$328$	0.395408	+	1.74120i	0.0218328	+	0.0961414i
$329$	−8.33414	−	7.16884i	−0.459476	−	0.395231i
$330$	0.710354	−	18.4687i	0.0391037	−	1.01667i
$331$	−9.65242	−	5.57282i	−0.530545	−	0.306310i	0.210694	−	0.977552i	$-0.432428\pi$
$331$	−9.65242	−	5.57282i	−0.530545	−	0.306310i	−0.741238	+	0.671242i	$0.765761\pi$
$332$	23.8972	+	2.71026i	1.31153	+	0.148745i
$333$	2.36937	−	8.84262i	0.129841	−	0.484573i
$334$	−0.192648	−	0.551201i	−0.0105412	−	0.0301604i
$335$	−8.47646	−	0.960890i	−0.463119	−	0.0524990i
$336$	−3.01515	−	27.0610i	−0.164490	−	1.47630i
$337$	−4.45046	−	4.45046i	−0.242432	−	0.242432i	0.575424	−	0.817856i	$-0.304837\pi$
$337$	−4.45046	−	4.45046i	−0.242432	−	0.242432i	−0.817856	+	0.575424i	$0.804837\pi$
$338$	−16.3803	−	7.89570i	−0.890970	−	0.429470i
$339$	−31.6113	+	18.2508i	−1.71689	+	0.991247i
$340$	−13.8221	−	22.0667i	−0.749608	−	1.19673i
$341$	2.52680	−	4.37654i	0.136834	−	0.237003i
$342$	−15.3118	+	1.14183i	−0.827968	+	0.0617433i
$343$	4.13334	+	18.0531i	0.223179	+	0.974777i
$344$	−25.2770	−	15.9213i	−1.36284	−	0.858417i
$345$	−6.58573	−	43.8954i	−0.354564	−	2.36325i
$346$	12.6085	+	2.39044i	0.677840	+	0.128511i
$347$	−15.5564	−	4.16832i	−0.835110	−	0.223767i	−0.184168	−	0.982895i	$-0.558959\pi$
$347$	−15.5564	−	4.16832i	−0.835110	−	0.223767i	−0.650942	+	0.759128i	$0.725626\pi$
$348$	18.2603	+	41.9366i	0.978854	+	2.24804i
$349$		−	4.57660i		−	0.244980i	−0.992470	−	0.122490i	$-0.960912\pi$
$349$		−	4.57660i		−	0.244980i	0.992470	−	0.122490i	$-0.0390879\pi$
$350$	−8.09198	−	16.8677i	−0.432535	−	0.901617i
$351$	0.600693			0.0320626
$352$	12.7034	+	1.93848i	0.677094	+	0.103321i
$353$	9.57675	−	35.7409i	0.509719	−	1.90230i	0.0865441	−	0.996248i	$-0.472418\pi$
$353$	9.57675	−	35.7409i	0.509719	−	1.90230i	0.423175	−	0.906048i	$-0.360916\pi$
$354$	1.08126	−	5.70320i	0.0574685	−	0.303122i
$355$	−17.2707	+	2.59116i	−0.916634	+	0.137525i
$356$	−12.1384	+	1.82050i	−0.643336	+	0.0964863i
$357$	−39.5218	+	2.97069i	−2.09171	+	0.157226i
$358$	14.1826	−	1.05762i	0.749572	−	0.0558972i
$359$	25.1771	+	14.5360i	1.32880	+	0.767181i	0.985114	−	0.171905i	$-0.0549921\pi$
$359$	25.1771	+	14.5360i	1.32880	+	0.767181i	0.343683	+	0.939086i	$0.388325\pi$
$360$	22.6303	+	3.45205i	1.19272	+	0.181939i
$361$	−5.00124	−	8.66241i	−0.263223	−	0.455916i
$362$	9.63102	−	19.9803i	0.506195	−	1.05014i
$363$	−10.6238	+	10.6238i	−0.557604	+	0.557604i
$364$	1.76346	−	0.930876i	0.0924305	−	0.0487911i
$365$	0.788155	−	6.95269i	0.0412539	−	0.363920i
$366$	8.66981	+	24.8060i	0.453178	+	1.29663i
$367$	−5.44702	−	1.45952i	−0.284332	−	0.0761865i	0.113834	−	0.993500i	$-0.463687\pi$
$367$	−5.44702	−	1.45952i	−0.284332	−	0.0761865i	−0.398166	+	0.917313i	$0.630353\pi$
$368$	30.8413	−	1.10885i	1.60772	−	0.0578028i
$369$	−1.14247	+	1.97882i	−0.0594748	+	0.103013i
$370$	7.99211	+	0.307397i	0.415490	+	0.0159808i
$371$	2.18171	+	6.23048i	0.113269	+	0.323470i
$372$	9.20545	+	6.80433i	0.477280	+	0.352788i
$373$	1.84065	−	0.493201i	0.0953054	−	0.0255370i	−0.210851	−	0.977518i	$-0.567624\pi$
$373$	1.84065	−	0.493201i	0.0953054	−	0.0255370i	0.306157	+	0.951981i	$0.400957\pi$
$374$	3.48417	−	18.3775i	0.180162	−	0.950279i
$375$	28.2747	−	5.29029i	1.46010	−	0.273190i
$376$	5.48005	+	10.3963i	0.282612	+	0.536150i
$377$	−2.36862	+	2.36862i	−0.121990	+	0.121990i
$378$	3.54236	−	4.79831i	0.182199	−	0.246799i
$379$	1.51131			0.0776310			0.0388155	−	0.999246i	$-0.487642\pi$
$379$	1.51131			0.0776310			0.0388155	+	0.999246i	$0.487642\pi$
$380$	−3.93594	−	12.8241i	−0.201910	−	0.657865i
$381$	3.16298	+	5.47845i	0.162045	+	0.280669i
$382$	8.37359	+	12.2915i	0.428430	+	0.628886i
$383$	−11.9124	+	3.19192i	−0.608696	+	0.163100i	−0.549984	−	0.835175i	$-0.685366\pi$
$383$	−11.9124	+	3.19192i	−0.608696	+	0.163100i	−0.0587121	+	0.998275i	$0.518699\pi$
$384$	−7.60574	+	28.0972i	−0.388129	+	1.43383i
$385$	3.96713	−	12.8405i	0.202184	−	0.654410i
$386$	−9.80955	+	11.3905i	−0.499293	+	0.579760i
$387$	−9.89438	−	36.9263i	−0.502959	−	1.87707i
$388$	−19.9228	−	2.25951i	−1.01143	−	0.114709i
$389$	1.32471	+	2.29447i	0.0671656	+	0.116334i	0.897653	−	0.440704i	$-0.145271\pi$
$389$	1.32471	+	2.29447i	0.0671656	+	0.116334i	−0.830487	+	0.557038i	$0.811938\pi$
$390$	0.679135	+	2.98987i	0.0343894	+	0.151398i
$391$		−	44.9211i		−	2.27176i
$392$	2.96354	−	19.5759i	0.149681	−	0.988734i
$393$	−35.0289	+	35.0289i	−1.76697	+	1.76697i
$394$	0.870656	+	2.49111i	0.0438630	+	0.125500i
$395$	35.5440	+	13.9778i	1.78841	+	0.703300i
$396$	10.2438	+	12.8645i	0.514768	+	0.646467i
$397$	−27.1100	+	7.26411i	−1.36061	+	0.364575i	−0.864042	−	0.503420i	$-0.832075\pi$
$397$	−27.1100	+	7.26411i	−1.36061	+	0.364575i	−0.496572	+	0.867995i	$0.665408\pi$
$398$	1.86419	−	0.139017i	0.0934434	−	0.00696827i
$399$	−20.0634	−	3.79153i	−1.00443	−	0.189814i
$400$	1.43839	+	19.9482i	0.0719193	+	0.997410i
$401$	−12.5972	+	21.8191i	−0.629076	+	1.08959i	0.358661	+	0.933468i	$0.383233\pi$
$401$	−12.5972	+	21.8191i	−0.629076	+	1.08959i	−0.987737	+	0.156124i	$0.950100\pi$
$402$	11.4722	−	7.81545i	0.572179	−	0.389799i
$403$	−0.216978	+	0.809771i	−0.0108084	+	0.0403376i
$404$	1.45282	−	3.69378i	0.0722804	−	0.183772i
$405$	−9.41307	−	11.8200i	−0.467739	−	0.587343i
$406$	4.95242	+	32.8885i	0.245784	+	1.63223i
$407$	4.06267	+	4.06267i	0.201379	+	0.201379i
$408$	40.4736	+	12.5331i	2.00374	+	0.620480i
$409$	14.2361	+	24.6576i	0.703929	+	1.21924i	0.967077	+	0.254486i	$0.0819062\pi$
$409$	14.2361	+	24.6576i	0.703929	+	1.21924i	−0.263147	+	0.964756i	$0.584760\pi$
$410$	−1.90698	−	0.590405i	−0.0941788	−	0.0291580i
$411$	12.8600	−	22.2741i	0.634336	−	1.09870i
$412$	−15.4141	−	11.3935i	−0.759397	−	0.561319i
$413$	1.83053	−	3.80333i	0.0900745	−	0.187149i
$414$	29.9254	+	25.7719i	1.47075	+	1.26662i
$415$	−15.9820	+	21.6241i	−0.784525	+	1.06149i
$416$	−2.11878	+	0.234809i	−0.103882	+	0.0115125i
$417$	−0.394887	+	1.47374i	−0.0193377	+	0.0721693i
$418$	4.18430	−	8.68067i	0.204661	−	0.424585i
$419$			29.7916i			1.45542i	0.685887	+	0.727708i	$0.259415\pi$
$419$			29.7916i			1.45542i	−0.685887	+	0.727708i	$0.740585\pi$
$420$	27.8879	+	12.2067i	1.36079	+	0.595625i
$421$			7.57624i			0.369243i	0.982810	+	0.184622i	$0.0591060\pi$
$421$			7.57624i			0.369243i	−0.982810	+	0.184622i	$0.940894\pi$
$422$	−8.48405	−	4.08953i	−0.412997	−	0.199075i
$423$	−3.89247	+	14.5269i	−0.189259	+	0.706322i
$424$	0.271610	−	7.05198i	0.0131906	−	0.342475i
$425$	29.0927	−	1.04906i	1.41120	−	0.0508868i
$426$	18.5443	−	21.5330i	0.898477	−	1.04328i
$427$	1.43219	+	19.0537i	0.0693085	+	0.922072i
$428$	0.299443	−	0.405110i	0.0144741	−	0.0195817i
$429$	−1.10126	+	1.90744i	−0.0531693	+	0.0920920i
$430$	29.5451	−	15.5756i	1.42479	−	0.751123i
$431$	−7.38841	−	12.7971i	−0.355887	−	0.616415i	0.631382	−	0.775472i	$-0.282488\pi$
$431$	−7.38841	−	12.7971i	−0.355887	−	0.616415i	−0.987269	+	0.159057i	$0.949155\pi$
$432$	−5.40370	+	3.38436i	−0.259986	+	0.162830i
$433$	9.44547	+	9.44547i	0.453920	+	0.453920i	0.896653	−	0.442733i	$-0.145991\pi$
$433$	9.44547	+	9.44547i	0.453920	+	0.453920i	−0.442733	+	0.896653i	$0.645991\pi$
$434$	5.18888	+	6.50852i	0.249074	+	0.312419i
$435$	−50.8131	−	5.76016i	−2.43630	−	0.276178i
$436$	9.37591	−	23.8382i	0.449025	−	1.14164i
$437$	5.98979	−	22.3542i	0.286530	−	1.06935i
$438$	6.41050	+	9.40986i	0.306306	+	0.449621i
$439$	8.29191	−	14.3620i	0.395751	−	0.685461i	−0.597446	−	0.801909i	$-0.703818\pi$
$439$	8.29191	−	14.3620i	0.395751	−	0.685461i	0.993197	+	0.116448i	$0.0371510\pi$
$440$	−8.97775	+	11.2168i	−0.427998	+	0.534742i
$441$	19.8020	−	15.8062i	0.942954	−	0.752675i
$442$	0.230752	+	3.09435i	0.0109758	+	0.147183i
$443$	−10.6247	+	2.84689i	−0.504797	+	0.135260i	−0.502225	−	0.864737i	$-0.667485\pi$
$443$	−10.6247	+	2.84689i	−0.504797	+	0.135260i	−0.00257156	+	0.999997i	$0.500819\pi$
$444$	−10.1811	+	8.10696i	−0.483172	+	0.384739i
$445$	5.02222	−	12.7709i	0.238076	−	0.605401i
$446$	−4.16745	+	1.45654i	−0.197334	+	0.0689694i
$447$	−31.7883	+	31.7883i	−1.50353	+	1.50353i
$448$	−10.6191	+	18.3094i	−0.501703	+	0.865040i
$449$		−	3.01286i		−	0.142186i	−0.997470	−	0.0710929i	$-0.977351\pi$
$449$		−	3.01286i		−	0.142186i	0.997470	−	0.0710929i	$-0.0226487\pi$
$450$	−15.9921	+	19.9828i	−0.753874	+	0.941996i
$451$	−0.717026	−	1.24193i	−0.0337634	−	0.0584800i
$452$	28.1937	+	3.19754i	1.32612	+	0.150400i
$453$	6.81434	+	25.4315i	0.320165	+	1.19487i
$454$	23.9754	+	20.6477i	1.12522	+	0.969046i
$455$	−0.0843709	+	2.22784i	−0.00395537	+	0.104443i
$456$	18.4698	+	11.6336i	0.864929	+	0.544795i
$457$	−24.8395	+	6.65571i	−1.16194	+	0.311341i	−0.787741	−	0.616007i	$-0.788749\pi$
$457$	−24.8395	+	6.65571i	−1.16194	+	0.311341i	−0.374200	+	0.927348i	$0.622083\pi$
$458$	10.8680	−	7.40385i	0.507828	−	0.345959i
$459$	4.64042	+	8.03744i	0.216596	+	0.375156i
$460$	−16.1656	+	30.4827i	−0.753724	+	1.42126i
$461$	−10.5558			−0.491634			−0.245817	−	0.969316i	$-0.579056\pi$
$461$	−10.5558			−0.491634			−0.245817	+	0.969316i	$0.579056\pi$
$462$	8.74228	+	20.0452i	0.406728	+	0.932587i
$463$	25.8053	−	25.8053i	1.19928	−	1.19928i	0.224892	−	0.974384i	$-0.427797\pi$
$463$	25.8053	−	25.8053i	1.19928	−	1.19928i	0.974384	−	0.224892i	$-0.0722029\pi$
$464$	7.96255	−	34.6526i	0.369652	−	1.60871i
$465$	−11.7340	+	5.11002i	−0.544151	+	0.236972i
$466$	22.9152	+	4.34447i	1.06153	+	0.201254i
$467$	3.91552	−	1.04916i	0.181189	−	0.0485494i	−0.167084	−	0.985943i	$-0.553435\pi$
$467$	3.91552	−	1.04916i	0.181189	−	0.0485494i	0.348273	+	0.937393i	$0.386768\pi$
$468$	−2.19377	−	1.62155i	−0.101407	−	0.0749564i
$469$	9.52654	−	3.33589i	0.439895	−	0.154037i
$470$	−13.1297	−	0.505001i	−0.605626	−	0.0232939i
$471$	−14.9790	+	25.9444i	−0.690197	+	1.19546i
$472$	−3.31115	+	3.06555i	−0.152408	+	0.141103i
$473$	23.1753	+	6.20980i	1.06560	+	0.285527i
$474$	−58.6691	+	20.5051i	−2.69476	+	0.941832i
$475$	14.6174	+	3.35718i	0.670690	+	0.154038i
$476$	26.0783	+	16.4045i	1.19530	+	0.751899i
$477$	6.38599	−	6.38599i	0.292394	−	0.292394i
$478$	−15.9148	−	7.67132i	−0.727924	−	0.350878i
$479$	−17.1560	−	29.7150i	−0.783876	−	1.35771i	−0.929668	−	0.368398i	$-0.879906\pi$
$479$	−17.1560	−	29.7150i	−0.783876	−	1.35771i	0.145792	−	0.989315i	$-0.453427\pi$
$480$	−22.9545	−	23.0698i	−1.04773	−	1.05299i
$481$	−0.825421	−	0.476557i	−0.0376359	−	0.0217291i
$482$	−1.88589	−	25.2895i	−0.0859000	−	1.15191i
$483$	29.5948	+	43.3866i	1.34661	+	1.97416i
$484$	11.5499	−	1.73224i	0.524997	−	0.0787381i
$485$	13.3240	−	18.0278i	0.605011	−	0.818599i
$486$	30.8017	+	5.83966i	1.39719	+	0.264892i
$487$	−0.0731692	+	0.273071i	−0.00331561	+	0.0123740i	−0.967564	−	0.252627i	$-0.918706\pi$
$487$	−0.0731692	+	0.273071i	−0.00331561	+	0.0123740i	0.964248	+	0.265001i	$0.0853722\pi$
$488$	6.04228	−	19.5126i	0.273521	−	0.883293i
$489$	44.4724			2.01111
$490$	17.2984	+	13.8118i	0.781461	+	0.623954i
$491$		−	15.6289i		−	0.705322i	−0.935751	−	0.352661i	$-0.885277\pi$
$491$		−	15.6289i		−	0.705322i	0.935751	−	0.352661i	$-0.114723\pi$
$492$	2.97828	−	1.29682i	0.134271	−	0.0584652i
$493$	−49.9907	−	13.3950i	−2.25147	−	0.603279i
$494$	−0.297771	+	1.57062i	−0.0133974	+	0.0706654i
$495$	−18.1823	+	2.72793i	−0.817235	+	0.122612i
$496$	−2.61044	−	8.50699i	−0.117212	−	0.381975i
$497$	17.0705	−	11.6441i	0.765718	−	0.522310i
$498$	−3.25382	−	43.6332i	−0.145807	−	1.95525i
$499$	12.4829	−	21.6210i	0.558810	−	0.967887i	−0.438786	−	0.898591i	$-0.644591\pi$
$499$	12.4829	−	21.6210i	0.558810	−	0.967887i	0.997596	−	0.0692957i	$-0.0220752\pi$
$500$	−20.1194	−	9.75761i	−0.899765	−	0.436374i
$501$	−0.919954	+	0.531136i	−0.0411005	+	0.0237294i
$502$	9.67047	−	20.0622i	0.431614	−	0.895419i
$503$	−18.6017	−	18.6017i	−0.829408	−	0.829408i	0.158027	−	0.987435i	$-0.449487\pi$
$503$	−18.6017	−	18.6017i	−0.829408	−	0.829408i	−0.987435	+	0.158027i	$0.949487\pi$
$504$	−25.8898	+	7.96125i	−1.15322	+	0.354622i
$505$	2.76452	+	3.47142i	0.123020	+	0.154476i
$506$	−23.3984	+	8.17785i	−1.04019	+	0.363550i
$507$	−8.56216	+	31.9544i	−0.380259	+	1.41915i
$508$	0.554155	−	4.88616i	0.0245867	−	0.216788i
$509$	10.6639	+	6.15682i	0.472670	+	0.272896i	0.717357	−	0.696706i	$-0.245352\pi$
$509$	10.6639	+	6.15682i	0.472670	+	0.272896i	−0.244687	+	0.969602i	$0.578685\pi$
$510$	−34.7589	+	32.1841i	−1.53915	+	1.42513i
$511$	2.73621	+	7.81400i	0.121043	+	0.345671i
$512$	17.7371	−	14.0497i	0.783878	−	0.620915i
$513$	1.23751	+	4.61845i	0.0546374	+	0.203909i
$514$	−39.2292	−	7.43741i	−1.73032	−	0.328050i
$515$	19.6480	−	8.55648i	0.865795	−	0.377044i
$516$	−19.8924	+	50.5764i	−0.875716	+	2.22650i
$517$	−6.67426	−	6.67426i	−0.293534	−	0.293534i
$518$	−8.67432	+	3.78312i	−0.381128	+	0.166221i
$519$		−	23.3471i		−	1.02482i
$520$	0.956967	−	2.18281i	0.0419658	−	0.0957228i
$521$	−18.9164	+	10.9214i	−0.828744	+	0.478475i	−0.853422	−	0.521220i	$-0.825477\pi$
$521$	−18.9164	+	10.9214i	−0.828744	+	0.478475i	0.0246787	+	0.999695i	$0.492144\pi$
$522$	37.6038	−	25.6177i	1.64588	−	1.12126i
$523$	−3.72547	−	13.9037i	−0.162904	−	0.607965i	−0.998298	−	0.0583140i	$-0.981428\pi$
$523$	−3.72547	−	13.9037i	−0.162904	−	0.607965i	0.835395	−	0.549651i	$-0.185239\pi$
$524$	38.0826	−	5.71156i	1.66365	−	0.249511i
$525$	−27.4078	+	20.1800i	−1.19617	+	0.880729i
$526$	1.10606	−	1.28431i	0.0482265	−	0.0559988i
$527$	−12.5111	+	3.35235i	−0.544994	+	0.146031i
$528$	−0.839995	−	23.3635i	−0.0365561	−	1.01676i
$529$	−31.6325	+	18.2631i	−1.37533	+	0.794046i
$530$	6.67644	+	4.20481i	0.290006	+	0.182645i
$531$	−5.77447			−0.250591
$532$	10.7900	+	11.6407i	0.467807	+	0.504688i
$533$	0.168216	+	0.168216i	0.00728626	+	0.00728626i
$534$	7.36749	+	21.0798i	0.318822	+	0.912211i
$535$	0.224880	+	0.516385i	0.00972241	+	0.0223253i
$536$	−10.7826	−	0.415299i	−0.465739	−	0.0179382i
$537$	−6.69661	−	24.9921i	−0.288980	−	1.07849i
$538$	1.52729	+	20.4808i	0.0658464	+	0.882989i
$539$	2.37709	+	15.7229i	0.102389	+	0.677235i
$540$	−0.256509	−	7.12401i	−0.0110384	−	0.306569i
$541$	−2.53435	−	1.46321i	−0.108960	−	0.0629082i	0.444530	−	0.895764i	$-0.353371\pi$
$541$	−2.53435	−	1.46321i	−0.108960	−	0.0629082i	−0.553490	+	0.832856i	$0.686704\pi$
$542$	−29.8423	+	20.3301i	−1.28184	+	0.873254i
$543$	−38.9773	−	10.4439i	−1.67268	−	0.448193i
$544$	−19.5096	−	26.5360i	−0.836468	−	1.13772i
$545$	17.8411	+	22.4032i	0.764229	+	0.959647i
$546$	−2.26148	−	2.83663i	−0.0967825	−	0.121396i
$547$	26.4813	−	26.4813i	1.13226	−	1.13226i	0.142456	−	0.989801i	$-0.454500\pi$
$547$	26.4813	−	26.4813i	1.13226	−	1.13226i	0.989801	−	0.142456i	$-0.0454998\pi$
$548$	−18.3310	+	7.98179i	−0.783062	+	0.340965i
$549$	22.6380	−	13.0701i	0.966167	−	0.557817i
$550$	−5.84274	−	14.9628i	−0.249135	−	0.638015i
$551$	−23.0909	−	13.3315i	−0.983705	−	0.567942i
$552$	−12.4335	−	54.7512i	−0.529203	−	2.33037i
$553$	−45.0642	+	3.38730i	−1.91632	+	0.144042i
$554$	−2.17724	+	2.52813i	−0.0925021	+	0.107410i
$555$	−2.15890	−	14.3896i	−0.0916403	−	0.610804i
$556$	0.927809	−	0.738794i	0.0393479	−	0.0313318i
$557$	19.8817	+	5.32729i	0.842415	+	0.225725i	0.654123	−	0.756388i	$-0.273038\pi$
$557$	19.8817	+	5.32729i	0.842415	+	0.225725i	0.188293	+	0.982113i	$0.439705\pi$
$558$	4.94458	−	10.2579i	0.209321	−	0.434253i
$559$	−3.98015			−0.168342
$560$	−11.7929	−	20.5165i	−0.498341	−	0.866981i
$561$	−34.0294			−1.43672
$562$	1.05368	−	2.18594i	0.0444466	−	0.0922082i
$563$	38.1670	+	10.2268i	1.60855	+	0.431009i	0.947610	−	0.319430i	$-0.103492\pi$
$563$	38.1670	+	10.2268i	1.60855	+	0.431009i	0.660939	+	0.750440i	$0.270158\pi$
$564$	16.7257	−	13.3183i	0.704280	−	0.560803i
$565$	−18.8554	+	25.5120i	−0.793254	+	1.07330i
$566$	0.265923	−	0.308780i	0.0111776	−	0.0129790i
$567$	16.1099	+	7.75364i	0.676551	+	0.325622i
$568$	−21.5419	+	4.89196i	−0.903880	+	0.205262i
$569$	−9.87826	−	5.70321i	−0.414118	−	0.239091i	0.278440	−	0.960454i	$-0.410183\pi$
$569$	−9.87826	−	5.70321i	−0.414118	−	0.239091i	−0.692558	+	0.721363i	$0.743516\pi$
$570$	−21.5886	+	11.3811i	−0.904245	+	0.476701i
$571$	26.6881	−	15.4084i	1.11686	−	0.644822i	0.176266	−	0.984343i	$-0.443598\pi$
$571$	26.6881	−	15.4084i	1.11686	−	0.644822i	0.940599	+	0.339521i	$0.110265\pi$
$572$	1.56977	−	0.683518i	0.0656354	−	0.0285793i
$573$	19.1326	−	19.1326i	0.799275	−	0.799275i
$574$	2.33570	−	0.351714i	0.0974902	−	0.0146803i
$575$	−20.4797	−	32.6915i	−0.854061	−	1.36333i
$576$	28.8706	+	2.22723i	1.20294	+	0.0928014i
$577$	23.9843	+	6.42658i	0.998480	+	0.267542i	0.720809	−	0.693134i	$-0.243771\pi$
$577$	23.9843	+	6.42658i	0.998480	+	0.267542i	0.277672	+	0.960676i	$0.410437\pi$
$578$	−19.7516	+	13.4558i	−0.821557	+	0.559688i
$579$	23.6840	+	13.6740i	0.984275	+	0.568272i
$580$	29.1025	+	27.0796i	1.20841	+	1.12442i
$581$	5.90787	−	31.2624i	0.245100	−	1.29698i
$582$	2.71267	+	36.3765i	0.112444	+	1.50785i
$583$	1.46699	+	5.47489i	0.0607566	+	0.226747i
$584$	0.340642	−	8.84430i	0.0140959	−	0.365980i
$585$	2.79635	−	1.21778i	0.115615	−	0.0503490i
$586$	−0.0794358	−	0.227281i	−0.00328146	−	0.00938888i
$587$	−5.46663	−	5.46663i	−0.225632	−	0.225632i	0.585233	−	0.810865i	$-0.301003\pi$
$587$	−5.46663	−	5.46663i	−0.225632	−	0.225632i	−0.810865	+	0.585233i	$0.801003\pi$
$588$	−35.9951	+	1.33672i	−1.48441	+	0.0551253i
$589$	−6.67295			−0.274954
$590$	−1.11748	−	4.91964i	−0.0460057	−	0.202538i
$591$	4.15766	−	2.40043i	0.171023	−	0.0987404i
$592$	10.1103	−	0.363498i	0.415529	−	0.0149397i
$593$	−23.2200	+	6.22177i	−0.953530	+	0.255497i	−0.701859	−	0.712316i	$-0.747647\pi$
$593$	−23.2200	+	6.22177i	−0.953530	+	0.255497i	−0.251670	+	0.967813i	$0.580980\pi$
$594$	3.34174	−	3.88030i	0.137113	−	0.159211i
$595$	−30.4609	+	16.0814i	−1.24878	+	0.659274i
$596$	34.5595	−	5.18317i	1.41561	−	0.212311i
$597$	−0.880217	−	3.28502i	−0.0360249	−	0.134447i
$598$	3.39817	−	2.31501i	0.138961	−	0.0946678i
$599$	−25.8564	+	14.9282i	−1.05647	+	0.609951i	−0.924452	−	0.381297i	$-0.875477\pi$
$599$	−25.8564	+	14.9282i	−1.05647	+	0.609951i	−0.132013	+	0.991248i	$0.542144\pi$
$600$	35.1688	−	9.33104i	1.43576	−	0.380938i
$601$		−	13.8947i		−	0.566775i	−0.959005	−	0.283388i	$-0.908542\pi$
$601$		−	13.8947i		−	0.566775i	0.959005	−	0.283388i	$-0.0914583\pi$
$602$	−23.4714	+	31.7933i	−0.956623	+	1.29580i
$603$	−9.76432	−	9.76432i	−0.397634	−	0.397634i
$604$	7.49117	−	19.0462i	0.304811	−	0.774980i
$605$	−4.77874	+	12.1518i	−0.194283	+	0.494040i
$606$	−7.09473	−	1.34508i	−0.288204	−	0.0546402i
$607$	−3.35624	−	12.5256i	−0.136225	−	0.508400i	−0.999990	−	0.00450428i	$-0.998566\pi$
$607$	−3.35624	−	12.5256i	−0.136225	−	0.508400i	0.863764	−	0.503896i	$-0.168100\pi$
$608$	−6.17031	−	15.8066i	−0.250239	−	0.641041i
$609$	57.1079	−	19.9973i	2.31413	−	0.810333i
$610$	15.5161	+	16.7575i	0.628230	+	0.678490i
$611$	1.35602	+	0.782901i	0.0548589	+	0.0316728i
$612$	4.74974	−	41.8799i	0.191997	−	1.69290i
$613$	−6.87935	+	25.6741i	−0.277854	+	1.03697i	0.676050	+	0.736856i	$0.263690\pi$
$613$	−6.87935	+	25.6741i	−0.277854	+	1.03697i	−0.953904	+	0.300111i	$0.902976\pi$
$614$	−12.7868	+	4.46907i	−0.516035	+	0.180357i
$615$	−0.409079	+	3.60868i	−0.0164957	+	0.145516i
$616$	3.79720	−	16.5700i	0.152993	−	0.667626i
$617$	−4.15023	−	4.15023i	−0.167082	−	0.167082i	0.618614	−	0.785695i	$-0.287695\pi$
$617$	−4.15023	−	4.15023i	−0.167082	−	0.167082i	−0.785695	+	0.618614i	$0.787695\pi$
$618$	−15.1417	+	31.4127i	−0.609089	+	1.26361i
$619$	13.0671	−	7.54430i	0.525212	−	0.303231i	−0.213853	−	0.976866i	$-0.568601\pi$
$619$	13.0671	−	7.54430i	0.525212	−	0.303231i	0.739064	+	0.673635i	$0.235268\pi$
$620$	9.69625	+	2.22749i	0.389411	+	0.0894580i
$621$	6.14914	−	10.6506i	0.246757	−	0.427395i
$622$	−0.327841	−	4.39630i	−0.0131452	−	0.176275i
$623$	1.21705	+	16.1916i	0.0487603	+	0.648701i
$624$	1.13772	+	3.70762i	0.0455451	+	0.148424i
$625$	20.6941	−	14.0269i	0.827764	−	0.561077i
$626$	−4.98761	+	26.3075i	−0.199345	+	1.05146i
$627$	−16.9341	−	4.53749i	−0.676284	−	0.181210i
$628$	21.3515	−	9.29701i	0.852019	−	0.370991i
$629$		−	14.7258i		−	0.587156i
$630$	6.76284	−	29.5185i	0.269438	−	1.17605i
$631$	18.0603			0.718967			0.359484	−	0.933151i	$-0.382953\pi$
$631$	18.0603			0.718967			0.359484	+	0.933151i	$0.382953\pi$
$632$	46.1496	+	14.2907i	1.83573	+	0.568453i
$633$	−4.43471	+	16.5506i	−0.176264	+	0.657826i
$634$	−37.8504	−	7.17602i	−1.50323	−	0.284996i
$635$	4.42139	+	3.26777i	0.175458	+	0.129678i
$636$	−12.6970	+	1.90428i	−0.503470	+	0.0755095i
$637$	−1.05597	−	2.41733i	−0.0418390	−	0.0957783i
$638$	2.12363	+	28.4776i	0.0840754	+	1.12744i
$639$	−24.4818	−	14.1346i	−0.968487	−	0.559156i
$640$	3.68952	+	25.0277i	0.145841	+	0.989308i
$641$	9.32370	+	16.1491i	0.368264	+	0.637852i	0.989294	−	0.145935i	$-0.0466190\pi$
$641$	9.32370	+	16.1491i	0.368264	+	0.637852i	−0.621030	+	0.783787i	$0.713286\pi$
$642$	−0.825584	−	0.397952i	−0.0325832	−	0.0157059i
$643$	20.2835	−	20.2835i	0.799901	−	0.799901i	−0.183178	−	0.983080i	$-0.558639\pi$
$643$	20.2835	−	20.2835i	0.799901	−	0.799901i	0.983080	+	0.183178i	$0.0586386\pi$
$644$	1.54716	−	40.7963i	0.0609666	−	1.60760i
$645$	−37.8527	−	47.5318i	−1.49045	−	1.87156i
$646$	−23.3156	+	8.14891i	−0.917340	+	0.320615i
$647$	8.96115	+	2.40113i	0.352299	+	0.0943982i	0.430628	−	0.902529i	$-0.358292\pi$
$647$	8.96115	+	2.40113i	0.352299	+	0.0943982i	−0.0783295	+	0.996928i	$0.524959\pi$
$648$	−12.9848	−	14.0251i	−0.510093	−	0.550960i
$649$	1.81205	−	3.13857i	0.0711293	−	0.123200i
$650$	1.57865	+	2.14673i	0.0619199	+	0.0842015i
$651$	9.87518	−	11.4804i	0.387039	−	0.449952i
$652$	−27.8004	−	20.5490i	−1.08875	−	0.804762i
$653$	31.6406	−	8.47808i	1.23819	−	0.331773i	0.420428	−	0.907326i	$-0.361880\pi$
$653$	31.6406	−	8.47808i	1.23819	−	0.331773i	0.817765	+	0.575553i	$0.195213\pi$
$654$	−45.7866	−	8.68062i	−1.79040	−	0.339439i
$655$	−15.7565	+	40.0670i	−0.615658	+	1.56555i
$656$	−2.46098	−	0.565490i	−0.0960852	−	0.0220787i
$657$	8.00903	−	8.00903i	0.312462	−	0.312462i
$658$	14.2504	−	6.21501i	0.555539	−	0.242286i
$659$	−43.2371			−1.68428			−0.842138	−	0.539261i	$-0.818704\pi$
$659$	−43.2371			−1.68428			−0.842138	+	0.539261i	$0.818704\pi$
$660$	23.0918	+	12.2460i	0.898847	+	0.476676i
$661$	−3.72730	−	6.45587i	−0.144975	−	0.251104i	0.784389	−	0.620270i	$-0.212977\pi$
$661$	−3.72730	−	6.45587i	−0.144975	−	0.251104i	−0.929364	+	0.369166i	$0.879644\pi$
$662$	13.0267	−	8.87447i	0.506297	−	0.344916i
$663$	5.45276	−	1.46106i	0.211768	−	0.0567430i
$664$	−18.1273	+	28.7793i	−0.703474	+	1.11685i
$665$	−17.3027	+	3.94097i	−0.670968	+	0.152824i
$666$	9.80999	+	8.44842i	0.380129	+	0.327370i
$667$	17.7500	+	66.2440i	0.687283	+	2.56498i
$668$	0.820495	+	0.0930551i	0.0317459	+	0.00360041i
$669$	4.01574	+	6.95547i	0.155258	+	0.268914i
$670$	6.42925	−	10.2084i	0.248384	−	0.394386i
$671$			16.4058i			0.633338i
$672$	36.3256	+	12.7762i	1.40129	+	0.492854i
$673$	30.9386	−	30.9386i	1.19259	−	1.19259i	0.216258	−	0.976336i	$-0.430615\pi$
$673$	30.9386	−	30.9386i	1.19259	−	1.19259i	0.976336	−	0.216258i	$-0.0693853\pi$
$674$	8.40250	−	2.93672i	0.323652	−	0.113118i
$675$	7.04138	+	3.73371i	0.271023	+	0.143710i
$676$	20.1173	−	16.0189i	0.773741	−	0.616113i
$677$	−10.6938	+	2.86539i	−0.410995	+	0.110126i	−0.458392	−	0.888750i	$-0.651574\pi$
$677$	−10.6938	+	2.86539i	−0.410995	+	0.110126i	0.0473963	+	0.998876i	$0.484908\pi$
$678$	−3.83883	−	51.4781i	−0.147429	−	1.97701i
$679$	−4.92532	+	26.0630i	−0.189016	+	1.00021i
$680$	36.5993	−	4.05799i	1.40352	−	0.155617i
$681$	28.7818	−	49.8515i	1.10292	−	1.91032i
$682$	4.02381	+	5.90648i	0.154080	+	0.226171i
$683$	−10.1568	+	37.9058i	−0.388640	+	1.45043i	0.443707	+	0.896172i	$0.353663\pi$
$683$	−10.1568	+	37.9058i	−0.388640	+	1.45043i	−0.832348	+	0.554254i	$0.813004\pi$
$684$	7.94790	−	20.2075i	0.303896	−	0.772652i
$685$	2.51784	−	22.2110i	0.0962016	−	0.848639i
$686$	−25.5367	−	5.82027i	−0.974997	−	0.222219i
$687$	−16.9169	−	16.9169i	−0.645418	−	0.645418i
$688$	35.8045	−	22.4245i	1.36503	−	0.854927i
$689$	−0.470132	−	0.814293i	−0.0179106	−	0.0310221i
$690$	59.9642	+	18.5651i	2.28280	+	0.706759i
$691$	2.80628	−	4.86061i	0.106756	−	0.184906i	−0.807698	−	0.589596i	$-0.799287\pi$
$691$	2.80628	−	4.86061i	0.106756	−	0.184906i	0.914454	+	0.404689i	$0.132620\pi$
$692$	−10.7878	+	14.5946i	−0.410091	+	0.554804i
$693$	17.9716	−	12.2587i	0.682684	−	0.465671i
$694$	14.8629	−	17.2582i	0.564187	−	0.655113i
$695$	0.196743	+	1.31134i	0.00746287	+	0.0497418i
$696$	−64.6377	−	2.48955i	−2.45009	−	0.0943662i
$697$	−0.951293	+	3.55027i	−0.0360328	+	0.134476i
$698$	5.83030	+	2.81035i	0.220680	+	0.106373i
$699$		−	42.4318i		−	1.60492i
$700$	26.4575	+	0.0492714i	0.999998	+	0.00186228i
$701$		−	17.1666i		−	0.648373i	−0.945993	−	0.324187i	$-0.894909\pi$
$701$		−	17.1666i		−	0.648373i	0.945993	−	0.324187i	$-0.105091\pi$
$702$	−0.368868	+	0.765246i	−0.0139220	+	0.0288824i
$703$	1.96354	−	7.32804i	0.0740564	−	0.276382i
$704$	−10.2703	+	14.9930i	−0.387076	+	0.565069i
$705$	3.54670	+	23.6396i	0.133577	+	0.890319i
$706$	39.6509	+	34.1476i	1.49228	+	1.28516i
$707$	−4.73130	−	2.27716i	−0.177939	−	0.0856416i
$708$	6.60156	+	4.87963i	0.248102	+	0.183388i
$709$	6.21802	−	10.7699i	0.233522	−	0.404473i	−0.725320	−	0.688412i	$-0.758308\pi$
$709$	6.21802	−	10.7699i	0.233522	−	0.404473i	0.958842	+	0.283939i	$0.0916414\pi$
$710$	7.30444	−	23.5930i	0.274131	−	0.885428i
$711$	30.9123	+	53.5416i	1.15930	+	2.00797i
$712$	5.13464	−	16.5815i	0.192429	−	0.621419i
$713$	12.1366	+	12.1366i	0.454517	+	0.454517i
$714$	20.4846	−	52.1725i	0.766619	−	1.95251i
$715$	−0.215614	+	1.90203i	−0.00806350	+	0.0711320i
$716$	−7.36175	+	18.7172i	−0.275121	+	0.699494i
$717$	−8.31883	+	31.0463i	−0.310673	+	1.15945i
$718$	−33.9785	+	23.1479i	−1.26807	+	0.863874i
$719$	7.58211	−	13.1326i	0.282765	−	0.489763i	−0.689300	−	0.724476i	$-0.742082\pi$
$719$	7.58211	−	13.1326i	0.282765	−	0.489763i	0.972065	+	0.234713i	$0.0754150\pi$
$720$	−18.2943	+	26.7098i	−0.681787	+	0.995414i
$721$	−16.5355	+	19.2234i	−0.615815	+	0.715915i
$722$	14.1065	−	1.05195i	0.524989	−	0.0391495i
$723$	−44.5644	+	11.9410i	−1.65737	+	0.444090i
$724$	19.5396	+	24.5386i	0.726183	+	0.911971i
$725$	−42.4878	+	13.0427i	−1.57796	+	0.484392i
$726$	−7.01029	−	20.0578i	−0.260176	−	0.744414i
$727$	20.4327	−	20.4327i	0.757806	−	0.757806i	−0.218117	−	0.975923i	$-0.569991\pi$
$727$	20.4327	−	20.4327i	0.757806	−	0.757806i	0.975923	+	0.218117i	$0.0699913\pi$
$728$	0.102989	+	2.81816i	0.00381703	+	0.104448i
$729$		−	36.7626i		−	1.36158i
$730$	8.37331	+	5.27350i	0.309910	+	0.195181i
$731$	−30.7471	−	53.2555i	−1.13722	−	1.96973i
$732$	−36.9251	−	4.18780i	−1.36479	−	0.154786i
$733$	5.61754	+	20.9650i	0.207489	+	0.774358i	0.988677	+	0.150062i	$0.0479474\pi$
$733$	5.61754	+	20.9650i	0.207489	+	0.774358i	−0.781188	+	0.624296i	$0.785386\pi$
$734$	5.20419	−	6.04291i	0.192090	−	0.223048i
$735$	18.8257	−	35.6003i	0.694397	−	1.31314i
$736$	−17.5261	+	39.9709i	−0.646022	+	1.47335i
$737$	8.37124	−	2.24307i	0.308358	−	0.0826244i
$738$	−1.81934	−	2.67058i	−0.0669708	−	0.0983053i
$739$	−8.04625	−	13.9365i	−0.295986	−	0.512663i	0.679228	−	0.733928i	$-0.262315\pi$
$739$	−8.04625	−	13.9365i	−0.295986	−	0.512663i	−0.975214	+	0.221265i	$0.928982\pi$
$740$	−5.29932	+	9.99270i	−0.194807	+	0.367339i
$741$	2.90829			0.106839
$742$	−9.27697	−	1.04658i	−0.340568	−	0.0384212i
$743$	−5.05372	+	5.05372i	−0.185403	+	0.185403i	−0.793705	−	0.608302i	$-0.791851\pi$
$743$	−5.05372	+	5.05372i	−0.185403	+	0.185403i	0.608302	+	0.793705i	$0.291851\pi$
$744$	−14.3211	+	7.54884i	−0.525037	+	0.276754i
$745$	−14.2988	+	36.3603i	−0.523869	+	1.33214i
$746$	−0.501982	+	2.64774i	−0.0183789	+	0.0969406i
$747$	−42.0427	+	11.2653i	−1.53826	+	0.412176i
$748$	21.2723	+	15.7237i	0.777792	+	0.574915i
$749$	−0.505225	−	0.434583i	−0.0184605	−	0.0158793i
$750$	−10.6231	+	39.2688i	−0.387901	+	1.43389i
$751$	−7.22663	+	12.5169i	−0.263704	+	0.456748i	−0.967223	−	0.253928i	$-0.918277\pi$
$751$	−7.22663	+	12.5169i	−0.263704	+	0.456748i	0.703520	+	0.710676i	$0.251611\pi$
$752$	−16.6094	+	0.597164i	−0.605683	+	0.0217763i
$753$	−39.1370	−	10.4867i	−1.42623	−	0.382158i
$754$	−1.56298	−	4.47198i	−0.0569203	−	0.162860i
$755$	14.2547	+	17.8997i	0.518781	+	0.651437i
$756$	3.93750	+	7.45925i	0.143205	+	0.271290i
$757$	−2.97568	+	2.97568i	−0.108153	+	0.108153i	−0.759112	−	0.650960i	$-0.774367\pi$
$757$	−2.97568	+	2.97568i	−0.108153	+	0.108153i	0.650960	+	0.759112i	$0.274367\pi$
$758$	−0.928053	+	1.92532i	−0.0337084	+	0.0699308i
$759$	22.5466	+	39.0519i	0.818391	+	1.41749i
$760$	18.7541	+	2.86077i	0.680283	+	0.103771i
$761$	34.7136	+	20.0419i	1.25837	+	0.726519i	0.972757	−	0.231827i	$-0.0744704\pi$
$761$	34.7136	+	20.0419i	1.25837	+	0.726519i	0.285610	+	0.958346i	$0.407804\pi$
$762$	−8.92150	+	0.665295i	−0.323192	+	0.0241011i
$763$	−30.5339	−	14.6959i	−1.10540	−	0.532027i
$764$	−20.8005	+	3.11963i	−0.752537	+	0.112864i
$765$	37.8963	+	28.0085i	1.37015	+	1.01265i
$766$	3.24874	−	17.1357i	0.117382	−	0.619139i
$767$	−0.155602	+	0.580716i	−0.00561847	+	0.0209684i
$768$	−31.1237	−	26.9429i	−1.12308	−	0.972219i
$769$	−53.2226			−1.91926			−0.959629	−	0.281270i	$-0.909244\pi$
$769$	−53.2226			−1.91926			−0.959629	+	0.281270i	$0.909244\pi$
$770$	13.9219	+	12.9388i	0.501709	+	0.466283i
$771$			72.6401i			2.61607i
$772$	−8.48702	−	19.4913i	−0.305455	−	0.701508i
$773$	4.66524	+	1.25005i	0.167797	+	0.0449611i	0.341739	−	0.939795i	$-0.388984\pi$
$773$	4.66524	+	1.25005i	0.167797	+	0.0449611i	−0.173942	+	0.984756i	$0.555651\pi$
$774$	53.1177	+	10.0705i	1.90928	+	0.361977i
$775$	−7.57669	+	8.14355i	−0.272163	+	0.292525i
$776$	15.1125	−	23.9929i	0.542506	−	0.861296i
$777$	9.70163	+	14.2228i	0.348044	+	0.510240i
$778$	−3.73648	+	0.278637i	−0.133959	+	0.00998962i
$779$	−0.946788	+	1.63989i	−0.0339222	+	0.0587550i
$780$	−4.22594	−	0.970811i	−0.151313	−	0.0347606i
$781$	15.3650	−	8.87100i	0.549804	−	0.317429i
$782$	57.2267	+	27.5847i	2.04642	+	0.986426i
$783$	−10.0190	−	10.0190i	−0.358050	−	0.358050i
$784$	23.1187	+	15.7964i	0.825668	+	0.564156i
$785$	−2.93272	+	25.8709i	−0.104673	+	0.923372i
$786$	−23.1144	−	66.1348i	−0.824465	−	2.35895i
$787$	−3.26436	+	12.1828i	−0.116362	+	0.434269i	−0.999385	−	0.0350606i	$-0.988838\pi$
$787$	−3.26436	+	12.1828i	−0.116362	+	0.434269i	0.883023	+	0.469329i	$0.155504\pi$
$788$	−3.70817	−	0.420555i	−0.132098	−	0.0149817i
$789$	−2.67045	−	1.54179i	−0.0950707	−	0.0548891i
$790$	−39.6334	+	36.6975i	−1.41009	+	1.30564i
$791$	6.97005	−	36.8831i	0.247827	−	1.31141i
$792$	−22.6790	+	5.15018i	−0.805863	+	0.183004i
$793$	−0.704387	−	2.62881i	−0.0250135	−	0.0933517i
$794$	7.39343	−	38.9972i	0.262383	−	1.38396i
$795$	5.25334	−	13.3587i	0.186317	−	0.473783i
$796$	−0.967645	+	2.46023i	−0.0342973	+	0.0872005i
$797$	−32.1191	−	32.1191i	−1.13772	−	1.13772i	−0.988859	−	0.148856i	$-0.952441\pi$
$797$	−32.1191	−	32.1191i	−1.13772	−	1.13772i	−0.148856	−	0.988859i	$-0.547559\pi$
$798$	17.1505	−	23.2313i	0.607122	−	0.822379i
$799$			24.1920i			0.855850i
$800$	−26.2961	−	10.4172i	−0.929706	−	0.368303i
$801$	19.2375	−	11.1068i	0.679723	−	0.392438i
$802$	−20.0605	−	29.4465i	−0.708362	−	1.03979i
$803$	1.83984	+	6.86638i	0.0649266	+	0.242309i
$804$	2.91168	+	19.4141i	0.102687	+	0.684681i
$805$	38.6372	+	24.3018i	1.36178	+	0.856526i
$806$	−0.898359	−	0.773672i	−0.0316433	−	0.0272514i
$807$	36.0906	−	9.67044i	1.27045	−	0.340416i
$808$	3.81351	+	4.11904i	0.134159	+	0.144907i
$809$	15.1482	−	8.74583i	0.532583	−	0.307487i	−0.209485	−	0.977812i	$-0.567179\pi$
$809$	15.1482	−	8.74583i	0.532583	−	0.307487i	0.742068	+	0.670325i	$0.233845\pi$
$810$	20.8383	−	4.73333i	0.732183	−	0.166312i
$811$	−18.9966			−0.667061			−0.333531	−	0.942739i	$-0.608240\pi$
$811$	−18.9966			−0.667061			−0.333531	+	0.942739i	$0.608240\pi$
$812$	−44.9390	−	13.8868i	−1.57705	−	0.487330i
$813$	46.4518	+	46.4518i	1.62914	+	1.62914i
$814$	−7.67035	+	2.68082i	−0.268846	+	0.0939628i
$815$	35.4366	−	15.4322i	1.24129	−	0.540567i
$816$	−40.8200	+	43.8647i	−1.42899	+	1.53557i
$817$	−8.19964	−	30.6015i	−0.286869	−	1.07061i
$818$	−40.1543	+	2.99439i	−1.40396	+	0.104696i
$819$	−2.35337	+	2.73592i	−0.0822336	+	0.0956006i
$820$	1.92316	−	2.06682i	0.0671595	−	0.0721765i
$821$	−3.22323	−	1.86093i	−0.112492	−	0.0649470i	0.442699	−	0.896670i	$-0.354021\pi$
$821$	−3.22323	−	1.86093i	−0.112492	−	0.0649470i	−0.555190	+	0.831723i	$0.687355\pi$
$822$	20.4789	+	30.0607i	0.714285	+	1.04849i
$823$	−26.4188	−	7.07889i	−0.920901	−	0.246755i	−0.232931	−	0.972493i	$-0.574832\pi$
$823$	−26.4188	−	7.07889i	−0.920901	−	0.246755i	−0.687971	+	0.725739i	$0.741498\pi$
$824$	23.9800	−	12.6402i	0.835382	−	0.440341i
$825$	−24.7651	+	15.5141i	−0.862209	+	0.540132i
$826$	3.72113	+	4.66749i	0.129475	+	0.162403i
$827$	17.6105	−	17.6105i	0.612375	−	0.612375i	−0.331189	−	0.943564i	$-0.607450\pi$
$827$	17.6105	−	17.6105i	0.612375	−	0.612375i	0.943564	+	0.331189i	$0.107450\pi$
$828$	−51.2081	+	22.2973i	−1.77960	+	0.774886i
$829$	14.8575	−	8.57799i	0.516023	−	0.297926i	−0.219283	−	0.975661i	$-0.570372\pi$
$829$	14.8575	−	8.57799i	0.516023	−	0.297926i	0.735306	+	0.677735i	$0.237039\pi$
$830$	−17.7337	−	33.6388i	−0.615547	−	1.16762i
$831$	5.25670	+	3.03496i	0.182353	+	0.105281i
$832$	1.00195	−	2.84339i	0.0347363	−	0.0985767i
$833$	24.1871	−	32.8033i	0.838034	−	1.13657i
$834$	−1.63496	−	1.40804i	−0.0566142	−	0.0487564i
$835$	−0.548732	+	0.742451i	−0.0189896	+	0.0256936i
$836$	8.48918	+	10.6611i	0.293604	+	0.368721i
$837$	−3.42524	−	0.917791i	−0.118394	−	0.0317235i
$838$	−37.9527	−	18.2941i	−1.31105	−	0.631961i
$839$	52.5145			1.81300			0.906501	−	0.422204i	$-0.138743\pi$
$839$	52.5145			1.81300			0.906501	+	0.422204i	$0.138743\pi$
$840$	−32.6757	+	28.0317i	−1.12742	+	0.967185i
$841$	50.0128			1.72458
$842$	−9.65166	−	4.65234i	−0.332618	−	0.160330i
$843$	−4.26429	−	1.14261i	−0.146870	−	0.0393537i
$844$	10.4196	−	8.29690i	0.358658	−	0.285591i
$845$	4.26588	+	28.4331i	0.146751	+	0.978129i
$846$	−16.1161	−	13.8793i	−0.554084	−	0.477180i
$847$	−1.15805	−	15.4066i	−0.0397910	−	0.529375i
$848$	8.81700	+	4.67643i	0.302777	+	0.160589i
$849$	−0.642041	−	0.370682i	−0.0220348	−	0.0127218i
$850$	−16.5285	+	37.7065i	−0.566924	+	1.29332i
$851$	−16.8992	+	9.75678i	−0.579298	+	0.334458i
$852$	16.0442	+	36.8471i	0.549665	+	1.26236i
$853$	−28.5671	+	28.5671i	−0.978117	+	0.978117i	−0.999766	−	0.0216483i	$-0.993109\pi$
$853$	−28.5671	+	28.5671i	−0.978117	+	0.978117i	0.0216483	+	0.999766i	$0.493109\pi$
$854$	−25.1527	−	9.87577i	−0.860707	−	0.337942i
$855$	15.1238	+	18.9910i	0.517223	+	0.649480i
$856$	0.332206	+	0.630237i	0.0113546	+	0.0215411i
$857$	42.1111	+	11.2836i	1.43849	+	0.385442i	0.892004	−	0.452028i	$-0.149299\pi$
$857$	42.1111	+	11.2836i	1.43849	+	0.385442i	0.546484	+	0.837470i	$0.315966\pi$
$858$	−1.75371	−	2.57424i	−0.0598706	−	0.0878830i
$859$	43.7008	+	25.2307i	1.49105	+	0.860859i	0.999948	−	0.0102418i	$-0.00326011\pi$
$859$	43.7008	+	25.2307i	1.49105	+	0.860859i	0.491104	+	0.871101i	$0.336593\pi$
$860$	1.69961	+	47.2032i	0.0579562	+	1.60961i
$861$	−1.42019	−	4.05573i	−0.0483998	−	0.138219i
$862$	20.8397	−	1.55406i	0.709804	−	0.0529315i
$863$	3.86849	+	14.4374i	0.131685	+	0.491455i	0.999990	−	0.00457643i	$-0.00145673\pi$
$863$	3.86849	+	14.4374i	0.131685	+	0.491455i	−0.868305	+	0.496031i	$0.834790\pi$
$864$	−0.993215	−	8.96221i	−0.0337899	−	0.304901i
$865$	−8.10159	−	18.6035i	−0.275462	−	0.632536i
$866$	−17.8331	+	6.23276i	−0.605994	+	0.211798i
$867$	30.7448	+	30.7448i	1.04415	+	1.04415i
$868$	−11.4778	+	2.61362i	−0.389581	+	0.0887121i
$869$	−38.8016			−1.31625
$870$	38.5409	−	61.1956i	1.30666	−	2.07472i
$871$	−1.24507	+	0.718843i	−0.0421877	+	0.0243571i
$872$	24.6109	+	26.5826i	0.833430	+	0.900202i
$873$	35.0505	−	9.39175i	1.18628	−	0.317863i
$874$	24.7997	+	21.3576i	0.838862	+	0.722433i
$875$	−14.8365	+	25.5906i	−0.501566	+	0.865119i
$876$	−15.9241	+	2.38826i	−0.538025	+	0.0806920i
$877$	−7.90879	−	29.5160i	−0.267061	−	0.996685i	−0.960977	−	0.276629i	$-0.910783\pi$
$877$	−7.90879	−	29.5160i	−0.267061	−	0.996685i	0.693916	−	0.720056i	$-0.255884\pi$
$878$	13.2045	+	19.3827i	0.445630	+	0.654133i
$879$	−0.379331	+	0.219007i	−0.0127945	+	0.00738693i
$880$	−8.77660	−	18.3250i	−0.295859	−	0.617737i
$881$		−	20.6792i		−	0.696700i	−0.937364	−	0.348350i	$-0.886742\pi$
$881$		−	20.6792i		−	0.696700i	0.937364	−	0.348350i	$-0.113258\pi$
$882$	7.97627	+	34.9327i	0.268575	+	1.17624i
$883$	−9.13918	−	9.13918i	−0.307558	−	0.307558i	0.536404	−	0.843962i	$-0.319782\pi$
$883$	−9.13918	−	9.13918i	−0.307558	−	0.307558i	−0.843962	+	0.536404i	$0.819782\pi$
$884$	−4.08371	−	1.60618i	−0.137350	−	0.0540218i
$885$	−8.41487	+	3.66458i	−0.282863	+	0.123183i
$886$	2.89757	−	15.2835i	0.0973459	−	0.513458i
$887$	−7.10509	−	26.5165i	−0.238565	−	0.890338i	−0.976509	−	0.215476i	$-0.930870\pi$
$887$	−7.10509	−	26.5165i	−0.238565	−	0.890338i	0.737944	−	0.674862i	$-0.235797\pi$
$888$	−4.07588	−	17.9483i	−0.136777	−	0.602305i
$889$	−6.39208	−	1.20796i	−0.214384	−	0.0405136i
$890$	13.1854	+	14.2403i	0.441975	+	0.477334i
$891$	13.2942	+	7.67538i	0.445371	+	0.257135i
$892$	0.703559	−	6.20349i	0.0235569	−	0.207708i
$893$	−3.22576	+	12.0387i	−0.107946	+	0.402860i
$894$	−20.9761	−	60.0165i	−0.701544	−	2.00725i
$895$	−14.0084	−	17.5905i	−0.468250	−	0.587984i
$896$	−16.8042	−	24.7713i	−0.561391	−	0.827551i
$897$	−5.28950	−	5.28950i	−0.176611	−	0.176611i
$898$	3.83820	+	1.85011i	0.128082	+	0.0617389i
$899$	17.1252	−	9.88725i	0.571158	−	0.329758i
$900$	−15.6365	−	32.6437i	−0.521218	−	1.08812i
$901$	7.26365	−	12.5810i	0.241987	−	0.419134i
$902$	2.02244	−	0.150818i	0.0673399	−	0.00502168i
$903$	64.7825	+	31.1796i	2.15583	+	1.03759i
$904$	−21.3864	+	33.9535i	−0.711301	+	1.12928i
$905$	−34.6821	+	5.20343i	−1.15287	+	0.172968i
$906$	−36.5826	−	6.93565i	−1.21537	−	0.230421i
$907$	−30.8577	−	8.26829i	−1.02461	−	0.274544i	−0.292889	−	0.956146i	$-0.594617\pi$
$907$	−30.8577	−	8.26829i	−1.02461	−	0.274544i	−0.731723	+	0.681602i	$0.761283\pi$
$908$	−41.0265	+	17.8640i	−1.36151	+	0.592837i
$909$			7.18339i			0.238258i
$910$	−2.78633	−	1.47554i	−0.0923658	−	0.0489135i
$911$	−16.1539			−0.535203			−0.267601	−	0.963530i	$-0.586231\pi$
$911$	−16.1539			−0.535203			−0.267601	+	0.963530i	$0.586231\pi$
$912$	−26.1623	+	16.3856i	−0.866320	+	0.542580i
$913$	7.07020	−	26.3864i	0.233990	−	0.873261i
$914$	6.77420	−	35.7310i	0.224071	−	1.18188i
$915$	24.6948	−	33.4129i	0.816386	−	1.10460i
$916$	2.75834	+	18.3916i	0.0911382	+	0.607676i
$917$	−3.81834	−	50.7987i	−0.126093	−	1.67752i
$918$	−13.0887	+	0.976055i	−0.431993	+	0.0322146i
$919$	−25.7389	−	14.8604i	−0.849049	−	0.490199i	0.0112810	−	0.999936i	$-0.496409\pi$
$919$	−25.7389	−	14.8604i	−0.849049	−	0.490199i	−0.860330	+	0.509738i	$0.829742\pi$
$920$	−28.9063	−	39.3125i	−0.953012	−	1.29609i
$921$	12.3214	+	21.3412i	0.406003	+	0.703217i
$922$	6.48202	−	13.4475i	0.213474	−	0.442869i
$923$	−2.08116	+	2.08116i	−0.0685023	+	0.0685023i
$924$	−30.9047	−	1.17203i	−1.01669	−	0.0385570i
$925$	−6.71354	−	10.7168i	−0.220740	−	0.352366i
$926$	17.0281	+	48.7207i	0.559579	+	1.60106i
$927$	33.5075	+	8.97830i	1.10053	+	0.294886i
$928$	39.2557	+	31.4229i	1.28863	+	1.03151i
$929$	−16.8503	+	29.1857i	−0.552842	+	0.957550i	0.445226	+	0.895418i	$0.353123\pi$
$929$	−16.8503	+	29.1857i	−0.552842	+	0.957550i	−0.998068	+	0.0621321i	$0.980210\pi$
$930$	0.695645	−	18.0863i	0.0228111	−	0.593073i
$931$	16.4103	−	13.0989i	0.537826	−	0.429298i
$932$	−19.6062	+	26.5248i	−0.642221	+	0.868848i
$933$	−7.74701	+	2.07580i	−0.253626	+	0.0679588i
$934$	−1.06784	+	5.63239i	−0.0349407	+	0.184297i
$935$	−27.1154	+	11.8084i	−0.886767	+	0.386177i
$936$	3.41289	−	1.79898i	0.111554	−	0.0588015i
$937$	−31.2144	+	31.2144i	−1.01973	+	1.01973i	−0.0199291	+	0.999801i	$0.506344\pi$
$937$	−31.2144	+	31.2144i	−1.01973	+	1.01973i	−0.999801	+	0.0199291i	$0.993656\pi$
$938$	−1.60025	+	14.1847i	−0.0522500	+	0.463147i
$939$	48.7133			1.58970
$940$	8.70587	−	16.4163i	0.283954	−	0.535440i
$941$	13.6064	+	23.5670i	0.443557	+	0.768264i	0.997950	−	0.0639913i	$-0.0203830\pi$
$941$	13.6064	+	23.5670i	0.443557	+	0.768264i	−0.554393	+	0.832255i	$0.687050\pi$
$942$	−23.8534	−	35.0140i	−0.777186	−	1.14082i
$943$	4.70456	−	1.26058i	0.153202	−	0.0410502i
$944$	−1.87204	−	6.10066i	−0.0609297	−	0.198560i
$945$	−9.42353	−	0.356879i	−0.306548	−	0.0116093i
$946$	−22.1421	+	25.7106i	−0.719903	+	0.835924i
$947$	−0.549516	−	2.05082i	−0.0178569	−	0.0666427i	0.956422	−	0.291986i	$-0.0943162\pi$
$947$	−0.549516	−	2.05082i	−0.0178569	−	0.0666427i	−0.974279	+	0.225344i	$0.927650\pi$
$948$	9.90465	−	87.3323i	0.321688	−	2.83642i
$949$	−0.589620	−	1.02125i	−0.0191399	−	0.0331512i
$950$	−13.2529	+	16.5601i	−0.429982	+	0.537279i
$951$			70.0871i			2.27273i
$952$	−36.9122	+	23.1486i	−1.19633	+	0.750251i
$953$	−17.1127	+	17.1127i	−0.554335	+	0.554335i	−0.927689	−	0.373354i	$-0.878208\pi$
$953$	−17.1127	+	17.1127i	−0.554335	+	0.554335i	0.373354	+	0.927689i	$0.378208\pi$
$954$	4.21391	+	12.0568i	0.136430	+	0.390353i
$955$	8.60613	−	21.8844i	0.278488	−	0.708163i
$956$	19.5456	−	15.5637i	0.632149	−	0.503366i
$957$	50.1823	−	13.4463i	1.62216	−	0.434657i
$958$	48.3900	−	3.60855i	1.56341	−	0.116587i
$959$	8.74109	+	24.9626i	0.282264	+	0.806083i
$960$	43.4852	−	15.0761i	1.40348	−	0.486580i
$961$	−13.0255	+	22.5609i	−0.420178	+	0.727770i
$962$	1.11397	−	0.758896i	0.0359158	−	0.0244678i
$963$	−0.235966	+	0.880637i	−0.00760390	+	0.0283781i
$964$	33.3753	+	13.1270i	1.07495	+	0.422793i
$965$	23.6169	+	2.67721i	0.760256	+	0.0861824i
$966$	−73.4452	+	11.0595i	−2.36306	+	0.355835i
$967$	−19.0419	−	19.0419i	−0.612346	−	0.612346i	0.331211	−	0.943557i	$-0.392543\pi$
$967$	−19.0419	−	19.0419i	−0.612346	−	0.612346i	−0.943557	+	0.331211i	$0.892543\pi$
$968$	−4.88570	+	15.7776i	−0.157032	+	0.507112i
$969$	22.4668	+	38.9137i	0.721739	+	1.25009i
$970$	14.7844	+	28.0443i	0.474698	+	0.900447i
$971$	0.879367	−	1.52311i	0.0282202	−	0.0488788i	−0.851570	−	0.524240i	$-0.824349\pi$
$971$	0.879367	−	1.52311i	0.0282202	−	0.0488788i	0.879791	+	0.475361i	$0.157683\pi$
$972$	−26.3538	+	35.6535i	−0.845297	+	1.14359i
$973$	−0.884118	−	1.29614i	−0.0283435	−	0.0415522i
$974$	−0.302945	−	0.260898i	−0.00970697	−	0.00835970i
$975$	3.30217	−	3.54923i	0.105754	−	0.113666i
$976$	21.1474	+	19.6796i	0.676913	+	0.629928i
$977$	−3.57319	+	13.3353i	−0.114317	+	0.426635i	−0.999235	−	0.0391110i	$-0.987547\pi$
$977$	−3.57319	+	13.3353i	−0.114317	+	0.426635i	0.884918	+	0.465746i	$0.154214\pi$
$978$	−27.3092	+	56.6551i	−0.873251	+	1.81163i
$979$			13.9414i			0.445569i
$980$	−28.2178	+	13.5557i	−0.901385	+	0.433019i
$981$			46.3587i			1.48012i
$982$	19.9102	+	9.59723i	0.635361	+	0.306260i
$983$	−1.70329	+	6.35678i	−0.0543266	+	0.202750i	−0.987755	−	0.156015i	$-0.950135\pi$
$983$	−1.70329	+	6.35678i	−0.0543266	+	0.202750i	0.933428	+	0.358765i	$0.116802\pi$
$984$	−0.176805	+	4.59049i	−0.00563633	+	0.146339i
$985$	2.47995	−	3.35545i	0.0790179	−	0.106914i
$986$	47.7621	−	55.4596i	1.52106	−	1.76619i
$987$	−15.9381	−	23.3656i	−0.507315	−	0.743735i
$988$	−1.81802	−	1.34381i	−0.0578388	−	0.0427523i
$989$	−40.7438	+	70.5703i	−1.29558	+	2.24400i
$990$	7.69000	−	24.8383i	0.244404	−	0.789413i
$991$	0.497114	+	0.861026i	0.0157913	+	0.0273514i	0.873813	−	0.486262i	$-0.161640\pi$
$991$	0.497114	+	0.861026i	0.0157913	+	0.0273514i	−0.858022	+	0.513613i	$0.828307\pi$
$992$	12.4404	+	1.89834i	0.394982	+	0.0602724i
$993$	−20.2770	−	20.2770i	−0.643473	−	0.643473i
$994$	4.35139	+	28.8971i	0.138018	+	0.916560i
$995$	−1.84130	−	2.31213i	−0.0583731	−	0.0732995i
$996$	57.5841	+	22.6487i	1.82462	+	0.717651i
$997$	−2.13419	+	7.96490i	−0.0675904	+	0.252251i	−0.991451	−	0.130478i	$-0.958349\pi$
$997$	−2.13419	+	7.96490i	−0.0675904	+	0.252251i	0.923861	+	0.382729i	$0.125016\pi$
$998$	19.8784	+	29.1792i	0.629240	+	0.923651i
$999$	2.01578	−	3.49144i	0.0637765	−	0.110464i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bv.e.117.15	yes	160
5.3	odd	4	inner	280.2.bv.e.173.34	yes	160
7.3	odd	6	inner	280.2.bv.e.157.13	yes	160
8.5	even	2	inner	280.2.bv.e.117.9	✓	160
35.3	even	12	inner	280.2.bv.e.213.9	yes	160
40.13	odd	4	inner	280.2.bv.e.173.13	yes	160
56.45	odd	6	inner	280.2.bv.e.157.34	yes	160
280.213	even	12	inner	280.2.bv.e.213.15	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bv.e.117.9	✓	160	8.5	even	2	inner
280.2.bv.e.117.15	yes	160	1.1	even	1	trivial
280.2.bv.e.157.13	yes	160	7.3	odd	6	inner
280.2.bv.e.157.34	yes	160	56.45	odd	6	inner
280.2.bv.e.173.13	yes	160	40.13	odd	4	inner
280.2.bv.e.173.34	yes	160	5.3	odd	4	inner
280.2.bv.e.213.9	yes	160	35.3	even	12	inner
280.2.bv.e.213.15	yes	160	280.213	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.614070 + 1.27394i) q^{2} +(2.48518 + 0.665902i) q^{3} +(-1.24584 - 1.56457i) q^{4} +(2.21132 - 0.331769i) q^{5} +(-2.37439 + 2.75706i) q^{6} +(-2.18569 + 1.49090i) q^{7} +(2.75820 - 0.626360i) q^{8} +(3.13462 + 1.80978i) q^{9} +O(q^{10})\)	\(q+(-0.614070 + 1.27394i) q^{2} +(2.48518 + 0.665902i) q^{3} +(-1.24584 - 1.56457i) q^{4} +(2.21132 - 0.331769i) q^{5} +(-2.37439 + 2.75706i) q^{6} +(-2.18569 + 1.49090i) q^{7} +(2.75820 - 0.626360i) q^{8} +(3.13462 + 1.80978i) q^{9} +(-0.935251 + 3.02081i) q^{10} +(-1.96732 + 1.13583i) q^{11} +(-2.05428 - 4.71785i) q^{12} +(0.266469 - 0.266469i) q^{13} +(-0.557146 - 3.69994i) q^{14} +(5.71645 + 0.648016i) q^{15} +(-0.895784 + 3.89841i) q^{16} +(5.62393 + 1.50693i) q^{17} +(-4.23042 + 2.88199i) q^{18} +(2.59772 + 1.49979i) q^{19} +(-3.27402 - 3.04644i) q^{20} +(-6.42462 + 2.24969i) q^{21} +(-0.238908 - 3.20372i) q^{22} +(-1.99687 - 7.45242i) q^{23} +(7.27172 + 0.280074i) q^{24} +(4.77986 - 1.46729i) q^{25} +(0.175835 + 0.503096i) q^{26} +(1.12713 + 1.12713i) q^{27} +(5.05563 + 1.56226i) q^{28} -8.88892 q^{29} +(-4.33583 + 6.88448i) q^{30} +(-1.92658 + 1.11231i) q^{31} +(-4.41625 - 3.53507i) q^{32} +(-5.64549 + 1.51270i) q^{33} +(-5.37322 + 6.23918i) q^{34} +(-4.33862 + 4.02199i) q^{35} +(-1.07370 - 7.15903i) q^{36} +(-0.654604 - 2.44302i) q^{37} +(-3.50582 + 2.38835i) q^{38} +(0.839667 - 0.484782i) q^{39} +(5.89145 - 2.30017i) q^{40} +0.631279i q^{41} +(1.07919 - 9.56604i) q^{42} +(-7.46831 - 7.46831i) q^{43} +(4.22804 + 1.66295i) q^{44} +(7.53208 + 2.96202i) q^{45} +(10.7201 + 2.03242i) q^{46} +(1.07540 + 4.01346i) q^{47} +(-4.82214 + 9.09174i) q^{48} +(2.55445 - 6.51727i) q^{49} +(-1.06593 + 6.99026i) q^{50} +(12.9730 + 7.48998i) q^{51} +(-0.748888 - 0.0849338i) q^{52} +(0.645780 - 2.41008i) q^{53} +(-2.12804 + 0.743760i) q^{54} +(-3.97353 + 3.16438i) q^{55} +(-5.09473 + 5.48122i) q^{56} +(5.45708 + 5.45708i) q^{57} +(5.45842 - 11.3239i) q^{58} +(-1.38162 + 0.797678i) q^{59} +(-6.10789 - 9.75113i) q^{60} +(3.61096 - 6.25437i) q^{61} +(-0.233961 - 3.13738i) q^{62} +(-9.54949 + 0.717797i) q^{63} +(7.21535 - 3.45525i) q^{64} +(0.500842 - 0.677654i) q^{65} +(1.53963 - 8.12091i) q^{66} +(-3.68507 - 0.987412i) q^{67} +(-4.64880 - 10.6764i) q^{68} -19.8503i q^{69} +(-2.45955 - 7.99691i) q^{70} -7.81014 q^{71} +(9.77949 + 3.02832i) q^{72} +(0.809910 - 3.02262i) q^{73} +(3.51423 + 0.666258i) q^{74} +(12.8559 - 0.463573i) q^{75} +(-0.889793 - 5.93282i) q^{76} +(2.60653 - 5.41563i) q^{77} +(0.101968 + 1.36737i) q^{78} +(14.7923 + 8.54036i) q^{79} +(-0.687494 + 8.91781i) q^{80} +(-3.37875 - 5.85217i) q^{81} +(-0.804211 - 0.387650i) q^{82} +(-8.50310 + 8.50310i) q^{83} +(11.5238 + 7.24904i) q^{84} +(12.9363 + 1.46645i) q^{85} +(14.1002 - 4.92810i) q^{86} +(-22.0906 - 5.91915i) q^{87} +(-4.71481 + 4.36510i) q^{88} +(3.06855 - 5.31488i) q^{89} +(-8.39865 + 7.77651i) q^{90} +(-0.185140 + 0.979696i) q^{91} +(-9.17210 + 12.4088i) q^{92} +(-5.52859 + 1.48138i) q^{93} +(-5.77327 - 1.09455i) q^{94} +(6.24197 + 2.45468i) q^{95} +(-8.62118 - 11.7261i) q^{96} +(7.08893 - 7.08893i) q^{97} +(6.73398 + 7.25627i) q^{98} -8.22239 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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