LMFDB - Embedded newform 504.2.cq.a.277.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(277,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 4]))

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

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

chi := DirichletCharacter("504.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.cq (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			277.9
Character	$\chi$	$=$	504.277
Dual form			504.2.cq.a.373.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.37280 - 0.339745i) q^{2} +(-0.0247783 + 1.73187i) q^{3} +(1.76915 + 0.932801i) q^{4} +(-0.736012 - 0.424937i) q^{5} +(0.622410 - 2.36909i) q^{6} +(1.20653 - 2.35463i) q^{7} +(-2.11177 - 1.88161i) q^{8} +(-2.99877 - 0.0858258i) q^{9} +O(q^{10})$	\(q+(-1.37280 - 0.339745i) q^{2} +(-0.0247783 + 1.73187i) q^{3} +(1.76915 + 0.932801i) q^{4} +(-0.736012 - 0.424937i) q^{5} +(0.622410 - 2.36909i) q^{6} +(1.20653 - 2.35463i) q^{7} +(-2.11177 - 1.88161i) q^{8} +(-2.99877 - 0.0858258i) q^{9} +(0.866026 + 0.833408i) q^{10} +(-3.81307 + 2.20148i) q^{11} +(-1.65933 + 3.04083i) q^{12} +(-0.317982 + 0.183587i) q^{13} +(-2.45629 + 2.82252i) q^{14} +(0.754174 - 1.26415i) q^{15} +(2.25976 + 3.30053i) q^{16} +(-0.847100 + 1.46722i) q^{17} +(4.08755 + 1.13664i) q^{18} +(-4.22368 + 2.43854i) q^{19} +(-0.905732 - 1.43833i) q^{20} +(4.04803 + 2.14790i) q^{21} +(5.98252 - 1.72671i) q^{22} +(-2.55099 + 4.41844i) q^{23} +(3.31103 - 3.61069i) q^{24} +(-2.13886 - 3.70461i) q^{25} +(0.498898 - 0.143995i) q^{26} +(0.222944 - 5.19137i) q^{27} +(4.33093 - 3.04024i) q^{28} +(-0.526684 - 0.304081i) q^{29} +(-1.46482 + 1.47920i) q^{30} -2.43447 q^{31} +(-1.98086 - 5.29870i) q^{32} +(-3.71820 - 6.65831i) q^{33} +(1.66138 - 1.72640i) q^{34} +(-1.88859 + 1.22034i) q^{35} +(-5.22521 - 2.94910i) q^{36} +(-5.30529 + 3.06301i) q^{37} +(6.62673 - 1.91265i) q^{38} +(-0.310071 - 0.555254i) q^{39} +(0.754722 + 2.28225i) q^{40} +(-4.57825 - 7.92976i) q^{41} +(-4.82739 - 4.32392i) q^{42} +(4.78958 + 2.76527i) q^{43} +(-8.79943 + 0.337900i) q^{44} +(2.17066 + 1.33746i) q^{45} +(5.00313 - 5.19894i) q^{46} +1.52048 q^{47} +(-5.77209 + 3.83184i) q^{48} +(-4.08859 - 5.68185i) q^{49} +(1.67760 + 5.81235i) q^{50} +(-2.52005 - 1.50343i) q^{51} +(-0.733807 + 0.0281784i) q^{52} +(-2.23363 - 1.28958i) q^{53} +(-2.06980 + 7.05095i) q^{54} +3.74196 q^{55} +(-6.97839 + 2.70223i) q^{56} +(-4.11859 - 7.37529i) q^{57} +(0.619721 + 0.596380i) q^{58} +6.33770i q^{59} +(2.51345 - 1.53297i) q^{60} -2.41038i q^{61} +(3.34204 + 0.827098i) q^{62} +(-3.82019 + 6.95745i) q^{63} +(0.919119 + 7.94703i) q^{64} +0.312052 q^{65} +(2.84221 + 10.4038i) q^{66} +2.91099i q^{67} +(-2.86727 + 1.80555i) q^{68} +(-7.58896 - 4.52747i) q^{69} +(3.00725 - 1.03364i) q^{70} +2.45918 q^{71} +(6.17122 + 5.82375i) q^{72} +(-5.34970 + 9.26595i) q^{73} +(8.32372 - 2.40245i) q^{74} +(6.46891 - 3.61244i) q^{75} +(-9.74698 + 0.374286i) q^{76} +(0.583100 + 11.6345i) q^{77} +(0.237020 + 0.867596i) q^{78} +9.66365 q^{79} +(-0.260698 - 3.38948i) q^{80} +(8.98527 + 0.514744i) q^{81} +(3.59091 + 12.4414i) q^{82} +(-9.88352 - 5.70625i) q^{83} +(5.15800 + 7.57595i) q^{84} +(1.24695 - 0.719928i) q^{85} +(-5.63564 - 5.42338i) q^{86} +(0.539681 - 0.904616i) q^{87} +(12.1946 + 2.52569i) q^{88} +(-7.67117 - 13.2869i) q^{89} +(-2.52549 - 2.57353i) q^{90} +(0.0486262 + 0.970234i) q^{91} +(-8.63459 + 5.43730i) q^{92} +(0.0603220 - 4.21620i) q^{93} +(-2.08731 - 0.516575i) q^{94} +4.14490 q^{95} +(9.22575 - 3.29931i) q^{96} +(-0.0608705 + 0.105431i) q^{97} +(3.68242 + 9.18911i) q^{98} +(11.6235 - 6.27448i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−1.37280	−	0.339745i	−0.970715	−	0.240236i
$2$	−1.37280	−	0.339745i	−0.970715	−	0.240236i
$3$	−0.0247783	+	1.73187i	−0.0143058	+	0.999898i
$3$	−0.0247783	+	1.73187i	−0.0143058	+	0.999898i
$4$	1.76915	+	0.932801i	0.884574	+	0.466401i
$5$	−0.736012	−	0.424937i	−0.329155	−	0.190037i	0.326311	−	0.945262i	$-0.394194\pi$
$5$	−0.736012	−	0.424937i	−0.329155	−	0.190037i	−0.655466	+	0.755225i	$0.727528\pi$
$6$	0.622410	−	2.36909i	0.254098	−	0.967178i
$7$	1.20653	−	2.35463i	0.456024	−	0.889967i
$7$	1.20653	−	2.35463i	0.456024	−	0.889967i
$8$	−2.11177	−	1.88161i	−0.746622	−	0.665248i
$9$	−2.99877	−	0.0858258i	−0.999591	−	0.0286086i
$10$	0.866026	+	0.833408i	0.273861	+	0.263547i
$11$	−3.81307	+	2.20148i	−1.14969	+	0.663771i	−0.948811	−	0.315846i	$-0.897712\pi$
$11$	−3.81307	+	2.20148i	−1.14969	+	0.663771i	−0.200875	+	0.979617i	$0.564378\pi$
$12$	−1.65933	+	3.04083i	−0.479007	+	0.877811i
$13$	−0.317982	+	0.183587i	−0.0881924	+	0.0509179i	−0.543448	−	0.839443i	$-0.682881\pi$
$13$	−0.317982	+	0.183587i	−0.0881924	+	0.0509179i	0.455255	+	0.890361i	$0.349548\pi$
$14$	−2.45629	+	2.82252i	−0.656471	+	0.754351i
$15$	0.754174	−	1.26415i	0.194727	−	0.326402i
$16$	2.25976	+	3.30053i	0.564941	+	0.825131i
$17$	−0.847100	+	1.46722i	−0.205452	+	0.355853i	−0.950277	−	0.311407i	$-0.899200\pi$
$17$	−0.847100	+	1.46722i	−0.205452	+	0.355853i	0.744825	+	0.667260i	$0.232533\pi$
$18$	4.08755	+	1.13664i	0.963444	+	0.267908i
$19$	−4.22368	+	2.43854i	−0.968978	+	0.559439i	−0.898924	−	0.438104i	$-0.855650\pi$
$19$	−4.22368	+	2.43854i	−0.968978	+	0.559439i	−0.0700532	+	0.997543i	$0.522317\pi$
$20$	−0.905732	−	1.43833i	−0.202528	−	0.321620i
$21$	4.04803	+	2.14790i	0.883353	+	0.468709i
$22$	5.98252	−	1.72671i	1.27548	−	0.368137i
$23$	−2.55099	+	4.41844i	−0.531917	+	0.921308i	0.467389	+	0.884052i	$0.345195\pi$
$23$	−2.55099	+	4.41844i	−0.531917	+	0.921308i	−0.999306	+	0.0372556i	$0.988138\pi$
$24$	3.31103	−	3.61069i	0.675861	−	0.737029i
$25$	−2.13886	−	3.70461i	−0.427772	−	0.740922i
$26$	0.498898	−	0.143995i	0.0978419	−	0.0282398i
$27$	0.222944	−	5.19137i	0.0429056	−	0.999079i
$28$	4.33093	−	3.04024i	0.818468	−	0.574552i
$29$	−0.526684	−	0.304081i	−0.0978028	−	0.0564665i	0.450301	−	0.892877i	$-0.351317\pi$
$29$	−0.526684	−	0.304081i	−0.0978028	−	0.0564665i	−0.548104	+	0.836410i	$0.684650\pi$
$30$	−1.46482	+	1.47920i	−0.267438	+	0.270063i
$31$	−2.43447			−0.437244			−0.218622	−	0.975810i	$-0.570156\pi$
$31$	−2.43447			−0.437244			−0.218622	+	0.975810i	$0.570156\pi$
$32$	−1.98086	−	5.29870i	−0.350170	−	0.936686i
$33$	−3.71820	−	6.65831i	−0.647256	−	1.15906i
$34$	1.66138	−	1.72640i	0.284924	−	0.296075i
$35$	−1.88859	+	1.22034i	−0.319230	+	0.206275i
$36$	−5.22521	−	2.94910i	−0.870868	−	0.491516i
$37$	−5.30529	+	3.06301i	−0.872184	+	0.503555i	−0.868073	−	0.496436i	$-0.834642\pi$
$37$	−5.30529	+	3.06301i	−0.872184	+	0.503555i	−0.00411032	+	0.999992i	$0.501308\pi$
$38$	6.62673	−	1.91265i	1.07500	−	0.310273i
$39$	−0.310071	−	0.555254i	−0.0496510	−	0.0889118i
$40$	0.754722	+	2.28225i	0.119332	+	0.360856i
$41$	−4.57825	−	7.92976i	−0.715002	−	1.23842i	−0.962959	−	0.269649i	$-0.913092\pi$
$41$	−4.57825	−	7.92976i	−0.715002	−	1.23842i	0.247957	−	0.968771i	$-0.420241\pi$
$42$	−4.82739	−	4.32392i	−0.744883	−	0.667196i
$43$	4.78958	+	2.76527i	0.730404	+	0.421699i	0.818570	−	0.574407i	$-0.194767\pi$
$43$	4.78958	+	2.76527i	0.730404	+	0.421699i	−0.0881659	+	0.996106i	$0.528101\pi$
$44$	−8.79943	+	0.337900i	−1.32656	+	0.0509404i
$45$	2.17066	+	1.33746i	0.323583	+	0.199376i
$46$	5.00313	−	5.19894i	0.737671	−	0.766541i
$47$	1.52048			0.221785			0.110892	−	0.993832i	$-0.464629\pi$
$47$	1.52048			0.221785			0.110892	+	0.993832i	$0.464629\pi$
$48$	−5.77209	+	3.83184i	−0.833129	+	0.553079i
$49$	−4.08859	−	5.68185i	−0.584084	−	0.811693i
$50$	1.67760	+	5.81235i	0.237248	+	0.821990i
$51$	−2.52005	−	1.50343i	−0.352878	−	0.210522i
$52$	−0.733807	+	0.0281784i	−0.101761	+	0.00390764i
$53$	−2.23363	−	1.28958i	−0.306812	−	0.177138i	0.338687	−	0.940899i	$-0.390017\pi$
$53$	−2.23363	−	1.28958i	−0.306812	−	0.177138i	−0.645499	+	0.763761i	$0.723351\pi$
$54$	−2.06980	+	7.05095i	−0.281664	+	0.959513i
$55$	3.74196			0.504565
$56$	−6.97839	+	2.70223i	−0.932527	+	0.361100i
$57$	−4.11859	−	7.37529i	−0.545520	−	0.976882i
$58$	0.619721	+	0.596380i	0.0813733	+	0.0783085i
$59$			6.33770i			0.825098i	0.910935	+	0.412549i	$0.135361\pi$
$59$			6.33770i			0.825098i	−0.910935	+	0.412549i	$0.864639\pi$
$60$	2.51345	−	1.53297i	0.324484	−	0.197906i
$61$		−	2.41038i		−	0.308617i	−0.988023	−	0.154309i	$-0.950685\pi$
$61$		−	2.41038i		−	0.308617i	0.988023	−	0.154309i	$-0.0493150\pi$
$62$	3.34204	+	0.827098i	0.424439	+	0.105042i
$63$	−3.82019	+	6.95745i	−0.481298	+	0.876557i
$64$	0.919119	+	7.94703i	0.114890	+	0.993378i
$65$	0.312052			0.0387052
$66$	2.84221	+	10.4038i	0.349852	+	1.28061i
$67$			2.91099i			0.355634i	0.984064	+	0.177817i	$0.0569036\pi$
$67$			2.91099i			0.355634i	−0.984064	+	0.177817i	$0.943096\pi$
$68$	−2.86727	+	1.80555i	−0.347707	+	0.218955i
$69$	−7.58896	−	4.52747i	−0.913604	−	0.545043i
$70$	3.00725	−	1.03364i	0.359435	−	0.123544i
$71$	2.45918			0.291851			0.145925	−	0.989296i	$-0.453384\pi$
$71$	2.45918			0.291851			0.145925	+	0.989296i	$0.453384\pi$
$72$	6.17122	+	5.82375i	0.727285	+	0.686336i
$73$	−5.34970	+	9.26595i	−0.626135	+	1.08450i	0.362185	+	0.932106i	$0.382031\pi$
$73$	−5.34970	+	9.26595i	−0.626135	+	1.08450i	−0.988320	+	0.152391i	$0.951303\pi$
$74$	8.32372	−	2.40245i	0.967613	−	0.279279i
$75$	6.46891	−	3.61244i	0.746966	−	0.417128i
$76$	−9.74698	+	0.374286i	−1.11805	+	0.0429336i
$77$	0.583100	+	11.6345i	0.0664504	+	1.32588i
$78$	0.237020	+	0.867596i	0.0268372	+	0.0982359i
$79$	9.66365			1.08725			0.543623	−	0.839330i	$-0.317052\pi$
$79$	9.66365			1.08725			0.543623	+	0.839330i	$0.317052\pi$
$80$	−0.260698	−	3.38948i	−0.0291470	−	0.378956i
$81$	8.98527	+	0.514744i	0.998363	+	0.0571938i
$82$	3.59091	+	12.4414i	0.396550	+	1.37392i
$83$	−9.88352	−	5.70625i	−1.08486	−	0.626343i	−0.152655	−	0.988280i	$-0.548782\pi$
$83$	−9.88352	−	5.70625i	−1.08486	−	0.626343i	−0.932203	+	0.361937i	$0.882116\pi$
$84$	5.15800	+	7.57595i	0.562784	+	0.826604i
$85$	1.24695	−	0.719928i	0.135251	−	0.0780871i
$86$	−5.63564	−	5.42338i	−0.607707	−	0.584819i
$87$	0.539681	−	0.904616i	0.0578598	−	0.0969850i
$88$	12.1946	+	2.52569i	1.29995	+	0.269240i
$89$	−7.67117	−	13.2869i	−0.813143	−	1.40840i	−0.910654	−	0.413170i	$-0.864422\pi$
$89$	−7.67117	−	13.2869i	−0.813143	−	1.40840i	0.0975113	−	0.995234i	$-0.468912\pi$
$90$	−2.52549	−	2.57353i	−0.266210	−	0.271274i
$91$	0.0486262	+	0.970234i	0.00509741	+	0.101708i
$92$	−8.63459	+	5.43730i	−0.900218	+	0.566878i
$93$	0.0603220	−	4.21620i	0.00625510	−	0.437199i
$94$	−2.08731	−	0.516575i	−0.215290	−	0.0532806i
$95$	4.14490			0.425258
$96$	9.22575	−	3.29931i	0.941600	−	0.336734i
$97$	−0.0608705	+	0.105431i	−0.00618047	+	0.0107049i	−0.869099	−	0.494638i	$-0.835301\pi$
$97$	−0.0608705	+	0.105431i	−0.00618047	+	0.0107049i	0.862919	+	0.505343i	$0.168634\pi$
$98$	3.68242	+	9.18911i	0.371981	+	0.928240i
$99$	11.6235	−	6.27448i	1.16820	−	0.630609i
$100$	−0.328289	−	8.54913i	−0.0328289	−	0.854913i
$101$	13.4083	−	7.74127i	1.33417	−	0.770285i	0.348236	−	0.937407i	$-0.386781\pi$
$101$	13.4083	−	7.74127i	1.33417	−	0.770285i	0.985936	+	0.167122i	$0.0534474\pi$
$102$	2.94874	+	2.92007i	0.291969	+	0.289130i
$103$	−7.70095	+	13.3384i	−0.758797	+	1.31428i	0.184667	+	0.982801i	$0.440879\pi$
$103$	−7.70095	+	13.3384i	−0.758797	+	1.31428i	−0.943464	+	0.331474i	$0.892454\pi$
$104$	1.01694	+	0.210624i	0.0997194	+	0.0206534i
$105$	−2.06668	−	3.30103i	−0.201687	−	0.322148i
$106$	2.62819	+	2.52920i	0.255272	+	0.245658i
$107$	7.34461	−	4.24041i	0.710030	−	0.409936i	−0.101042	−	0.994882i	$-0.532218\pi$
$107$	7.34461	−	4.24041i	0.710030	−	0.409936i	0.811072	+	0.584946i	$0.198884\pi$
$108$	5.23693	−	8.97633i	0.503924	−	0.863748i
$109$	−14.7310	−	8.50495i	−1.41097	−	0.814627i	−0.415494	−	0.909596i	$-0.636391\pi$
$109$	−14.7310	−	8.50495i	−1.41097	−	0.814627i	−0.995480	+	0.0949692i	$0.969725\pi$
$110$	−5.13695	−	1.27131i	−0.489789	−	0.121215i
$111$	−5.17329	−	9.26398i	−0.491027	−	0.879298i
$112$	10.4980	−	1.33874i	0.991967	−	0.126499i
$113$	8.76146	+	15.1753i	0.824209	+	1.42757i	0.902522	+	0.430643i	$0.141713\pi$
$113$	8.76146	+	15.1753i	0.824209	+	1.42757i	−0.0783131	+	0.996929i	$0.524953\pi$
$114$	3.14827	+	11.5241i	0.294863	+	1.07933i
$115$	3.75511	−	2.16801i	0.350166	−	0.202168i
$116$	−0.648134	−	1.02926i	−0.0601778	−	0.0955640i
$117$	0.969313	−	0.523245i	0.0896130	−	0.0483740i
$118$	2.15320	−	8.70038i	0.198218	−	0.800935i
$119$	2.43272	+	3.76485i	0.223007	+	0.345123i
$120$	−3.97127	+	1.25053i	−0.362526	+	0.114158i
$121$	4.19302	−	7.26253i	0.381184	−	0.660230i
$122$	−0.818913	+	3.30896i	−0.0741409	+	0.299579i
$123$	13.8468	−	7.73246i	1.24852	−	0.697212i
$124$	−4.30694	−	2.27088i	−0.386774	−	0.203931i
$125$			7.88488i			0.705245i
$126$	7.60810	−	8.25329i	0.677783	−	0.735262i
$127$	16.5579			1.46927			0.734636	−	0.678462i	$-0.237353\pi$
$127$	16.5579			1.46927			0.734636	+	0.678462i	$0.237353\pi$
$128$	1.43819	−	11.2219i	0.127120	−	0.991887i
$129$	−4.90777	+	8.22643i	−0.432105	+	0.724297i
$130$	−0.428384	−	0.106018i	−0.0375717	−	0.00929838i
$131$	5.87661	+	3.39286i	0.513442	+	0.296436i	0.734247	−	0.678882i	$-0.237535\pi$
$131$	5.87661	+	3.39286i	0.513442	+	0.296436i	−0.220805	+	0.975318i	$0.570869\pi$
$132$	−0.367166	−	15.2479i	−0.0319577	−	1.32716i
$133$	0.645889	+	12.8874i	0.0560057	+	1.11748i
$134$	0.988994	−	3.99620i	0.0854361	−	0.345219i
$135$	−2.37009	+	3.72617i	−0.203985	+	0.320698i
$136$	4.54961	−	1.50452i	0.390126	−	0.129011i
$137$	4.79280	+	8.30138i	0.409477	+	0.709235i	0.994831	−	0.101543i	$-0.0323779\pi$
$137$	4.79280	+	8.30138i	0.409477	+	0.709235i	−0.585354	+	0.810778i	$0.699045\pi$
$138$	8.87993	+	8.79360i	0.755910	+	0.748561i
$139$	−12.4160	+	7.16836i	−1.05311	+	0.608013i	−0.923518	−	0.383555i	$-0.874700\pi$
$139$	−12.4160	+	7.16836i	−1.05311	+	0.608013i	−0.129591	+	0.991568i	$0.541366\pi$
$140$	−4.47952	+	0.397284i	−0.378589	+	0.0335767i
$141$	−0.0376749	+	2.63328i	−0.00317280	+	0.221762i
$142$	−3.37595	−	0.835493i	−0.283304	−	0.0701130i
$143$	0.808326	−	1.40006i	0.0675957	−	0.117079i
$144$	−6.49325	−	10.0915i	−0.541104	−	0.840956i
$145$	0.258431	+	0.447615i	0.0214615	+	0.0371724i
$146$	10.4921	−	10.9027i	0.868333	−	0.902317i
$147$	9.94156	−	6.94013i	0.819966	−	0.572412i
$148$	−12.2430	+	0.470135i	−1.00637	+	0.0386448i
$149$	8.85243	+	5.11095i	0.725220	+	0.418706i	0.816671	−	0.577104i	$-0.195817\pi$
$149$	8.85243	+	5.11095i	0.725220	+	0.418706i	−0.0914512	+	0.995810i	$0.529151\pi$
$150$	−10.1078	+	2.76137i	−0.825300	+	0.225465i
$151$	9.55827	+	16.5554i	0.777841	+	1.34726i	0.933184	+	0.359400i	$0.117019\pi$
$151$	9.55827	+	16.5554i	0.777841	+	1.34726i	−0.155342	+	0.987861i	$0.549648\pi$
$152$	13.5078	+	2.79766i	1.09563	+	0.226921i
$153$	2.66618	−	4.32716i	0.215548	−	0.349830i
$154$	3.15229	−	16.1700i	0.254019	−	1.30301i
$155$	1.79180	+	1.03450i	0.143921	+	0.0830927i
$156$	−0.0306189	−	1.27156i	−0.00245147	−	0.101806i
$157$		−	18.1236i		−	1.44642i	−0.690626	−	0.723212i	$-0.742665\pi$
$157$		−	18.1236i		−	1.44642i	0.690626	−	0.723212i	$-0.257335\pi$
$158$	−13.2662	−	3.28317i	−1.05540	−	0.261195i
$159$	2.28874	−	3.83640i	0.181509	−	0.304247i
$160$	−0.793673	+	4.74165i	−0.0627453	+	0.374860i
$161$	7.32596	+	11.3376i	0.577367	+	0.893528i
$162$	−12.1601	−	3.75934i	−0.955386	−	0.295361i
$163$	−2.81654	+	1.62613i	−0.220609	+	0.127369i	−0.606232	−	0.795288i	$-0.707320\pi$
$163$	−2.81654	+	1.62613i	−0.220609	+	0.127369i	0.385623	+	0.922656i	$0.373986\pi$
$164$	−0.702705	−	18.2995i	−0.0548721	−	1.42895i
$165$	−0.0927194	+	6.48060i	−0.00721819	+	0.504514i
$166$	11.6294	+	11.1914i	0.902617	+	0.868621i
$167$	3.48505	+	6.03628i	0.269681	+	0.467101i	0.968779	−	0.247924i	$-0.0797484\pi$
$167$	3.48505	+	6.03628i	0.269681	+	0.467101i	−0.699098	+	0.715025i	$0.746415\pi$
$168$	−4.50700	−	12.1527i	−0.347723	−	0.937597i
$169$	−6.43259	+	11.1416i	−0.494815	+	0.857044i
$170$	−1.95640	+	0.564670i	−0.150049	+	0.0433082i
$171$	12.8751	−	6.95013i	0.984586	−	0.531489i
$172$	5.89403	+	9.35989i	0.449415	+	0.713685i
$173$			11.6604i			0.886524i	0.896392	+	0.443262i	$0.146179\pi$
$173$			11.6604i			0.886524i	−0.896392	+	0.443262i	$0.853821\pi$
$174$	−1.04821	+	1.05850i	−0.0794646	+	0.0802447i
$175$	−11.3036	+	0.566513i	−0.854471	+	0.0428244i
$176$	−15.8827	−	7.61033i	−1.19720	−	0.573650i
$177$	−10.9761	−	0.157037i	−0.825014	−	0.0118037i
$178$	6.01683	+	20.8464i	0.450980	+	1.56250i
$179$	−19.6597	−	11.3505i	−1.46943	−	0.848378i	−0.470021	−	0.882655i	$-0.655754\pi$
$179$	−19.6597	−	11.3505i	−1.46943	−	0.848378i	−0.999412	+	0.0342777i	$0.989087\pi$
$180$	2.59264	+	4.39095i	0.193244	+	0.327282i
$181$		−	14.8117i		−	1.10095i	−0.834852	−	0.550474i	$-0.814447\pi$
$181$		−	14.8117i		−	1.10095i	0.834852	−	0.550474i	$-0.185553\pi$
$182$	0.262878	−	1.34846i	0.0194858	−	0.0999541i
$183$	4.17447	+	0.0597251i	0.308586	+	0.00441500i
$184$	13.7008	−	4.53076i	1.01004	−	0.334012i
$185$	5.20634			0.382778
$186$	−1.51524	+	5.76749i	−0.111103	+	0.422893i
$187$		−	7.45949i		−	0.545492i
$188$	2.68995	+	1.41831i	0.196185	+	0.103441i
$189$	−11.9548	−	6.78847i	−0.869582	−	0.493789i
$190$	−5.69011	−	1.40821i	−0.412804	−	0.102162i
$191$	13.2076			0.955669			0.477835	−	0.878450i	$-0.341422\pi$
$191$	13.2076			0.955669			0.477835	+	0.878450i	$0.341422\pi$
$192$	−13.7860	+	1.39488i	−0.994920	+	0.100667i
$193$	2.27661			0.163874			0.0819370	−	0.996638i	$-0.473889\pi$
$193$	2.27661			0.163874			0.0819370	+	0.996638i	$0.473889\pi$
$194$	0.119383	−	0.124055i	0.00857117	−	0.00890662i
$195$	−0.00773211	+	0.540434i	−0.000553708	+	0.0387013i
$196$	−1.93327	−	13.8659i	−0.138091	−	0.990420i
$197$			26.8838i			1.91539i	0.287781	+	0.957696i	$0.407083\pi$
$197$			26.8838i			1.91539i	−0.287781	+	0.957696i	$0.592917\pi$
$198$	−18.0884	+	4.66457i	−1.28549	+	0.331496i
$199$	4.52188	−	7.83213i	0.320548	−	0.555205i	−0.660053	−	0.751219i	$-0.729466\pi$
$199$	4.52188	−	7.83213i	0.320548	−	0.555205i	0.980601	+	0.196014i	$0.0627997\pi$
$200$	−2.45385	+	11.8478i	−0.173513	+	0.837763i
$201$	−5.04147	−	0.0721294i	−0.355598	−	0.00508762i
$202$	−21.0369	+	6.07181i	−1.48015	+	0.427211i
$203$	−1.35146	+	0.873265i	−0.0948537	+	0.0612912i
$204$	−3.05594	−	5.01049i	−0.213959	−	0.350804i
$205$			7.78186i			0.543509i
$206$	15.1035	−	15.6946i	1.05231	−	1.09350i
$207$	8.02904	−	13.0309i	0.558057	−	0.905713i
$208$	−1.32450	−	0.634645i	−0.0918374	−	0.0440047i
$209$	10.7368	−	18.5967i	0.742679	−	1.28636i
$210$	1.71562	+	5.23379i	0.118389	+	0.361166i
$211$	−3.76018	+	2.17094i	−0.258861	+	0.149454i	−0.623815	−	0.781572i	$-0.714418\pi$
$211$	−3.76018	+	2.17094i	−0.258861	+	0.149454i	0.364954	+	0.931026i	$0.381085\pi$
$212$	−2.74869	−	4.36499i	−0.188781	−	0.299789i
$213$	−0.0609342	+	4.25899i	−0.00417515	+	0.291821i
$214$	−11.5233	+	3.32594i	−0.787718	+	0.227356i
$215$	−2.35013	−	4.07054i	−0.160277	−	0.277608i
$216$	−10.2389	+	10.5435i	−0.696670	+	0.717392i
$217$	−2.93725	+	5.73228i	−0.199394	+	0.389133i
$218$	17.3332	+	16.6804i	1.17395	+	1.12974i
$219$	−15.9149	−	9.49460i	−1.07543	−	0.641585i
$220$	6.62007	+	3.49050i	0.446325	+	0.235330i
$221$		−	0.622066i		−	0.0418447i
$222$	3.95449	+	14.4752i	0.265408	+	0.971510i
$223$	−11.2442	+	19.4756i	−0.752970	+	1.30418i	0.193407	+	0.981119i	$0.438046\pi$
$223$	−11.2442	+	19.4756i	−0.752970	+	1.30418i	−0.946377	+	0.323064i	$0.895287\pi$
$224$	−14.8664	−	1.72882i	−0.993306	−	0.115511i
$225$	6.09600	+	11.2929i	0.406400	+	0.752857i
$226$	−6.87199	−	23.8093i	−0.457118	−	1.58377i
$227$	−18.5242	+	10.6949i	−1.22949	+	0.709847i	−0.966924	−	0.255066i	$-0.917903\pi$
$227$	−18.5242	+	10.6949i	−1.22949	+	0.709847i	−0.262568	+	0.964913i	$0.584569\pi$
$228$	−0.406703	−	16.8898i	−0.0269346	−	1.11855i
$229$	−22.1790	−	12.8050i	−1.46563	−	0.846181i	−0.466367	−	0.884591i	$-0.654437\pi$
$229$	−22.1790	−	12.8050i	−1.46563	−	0.846181i	−0.999262	+	0.0384100i	$0.987771\pi$
$230$	−5.89158	+	1.70047i	−0.388479	+	0.112125i
$231$	−20.1640	+	0.721571i	−1.32669	+	0.0474759i
$232$	0.540073	+	1.63316i	0.0354575	+	0.107222i
$233$	−12.2958	−	21.2969i	−0.805523	−	1.39521i	−0.915937	−	0.401322i	$-0.868551\pi$
$233$	−12.2958	−	21.2969i	−0.805523	−	1.39521i	0.110414	−	0.993886i	$-0.464782\pi$
$234$	−1.50844	+	0.388990i	−0.0986098	+	0.0254291i
$235$	−1.11909	−	0.646108i	−0.0730015	−	0.0421474i
$236$	−5.91181	+	11.2123i	−0.384826	+	0.729860i
$237$	−0.239449	+	16.7362i	−0.0155539	+	1.08713i
$238$	−2.06054	−	5.99488i	−0.133565	−	0.388590i
$239$	6.86721	+	11.8944i	0.444203	+	0.769382i	0.997996	−	0.0632720i	$-0.0201536\pi$
$239$	6.86721	+	11.8944i	0.444203	+	0.769382i	−0.553793	+	0.832654i	$0.686820\pi$
$240$	5.87662	−	0.367511i	0.379334	−	0.0237227i
$241$	0.740013	+	1.28174i	0.0476684	+	0.0825641i	0.888875	−	0.458150i	$-0.151488\pi$
$241$	0.740013	+	1.28174i	0.0476684	+	0.0825641i	−0.841207	+	0.540714i	$0.818154\pi$
$242$	−8.22358	+	8.54543i	−0.528632	+	0.549321i
$243$	−1.11411	+	15.5486i	−0.0714702	+	0.997443i
$244$	2.24840	−	4.26431i	0.143939	−	0.272995i
$245$	0.594821	+	5.91930i	0.0380017	+	0.378170i
$246$	−21.6359	+	5.91073i	−1.37945	+	0.376855i
$247$	0.895369	−	1.55082i	0.0569710	−	0.0986766i
$248$	5.14103	+	4.58071i	0.326456	+	0.290876i
$249$	10.1274	−	16.9756i	0.641798	−	1.07579i
$250$	2.67885	−	10.8244i	0.169425	−	0.684592i
$251$		−	0.293236i		−	0.0185089i	−0.999957	−	0.00925445i	$-0.997054\pi$
$251$		−	0.293236i		−	0.0185089i	0.999957	−	0.00925445i	$-0.00294583\pi$
$252$	−13.2484	+	8.74529i	−0.834570	+	0.550901i
$253$		−	22.4638i		−	1.41228i
$254$	−22.7306	−	5.62544i	−1.42624	−	0.352972i
$255$	1.21593	+	2.17740i	0.0761443	+	0.136354i
$256$	−5.78694	+	14.9168i	−0.361684	+	0.932301i
$257$	−0.311341	+	0.539259i	−0.0194209	+	0.0336380i	−0.875573	−	0.483087i	$-0.839516\pi$
$257$	−0.311341	+	0.539259i	−0.0194209	+	0.0336380i	0.856152	+	0.516725i	$0.172849\pi$
$258$	9.53226	−	9.62583i	0.593452	−	0.599278i
$259$	0.811290	+	16.1876i	0.0504111	+	1.00585i
$260$	0.552065	+	0.291082i	0.0342376	+	0.0180521i
$261$	1.55331	+	0.957073i	0.0961473	+	0.0592414i
$262$	−6.91469	−	6.65426i	−0.427191	−	0.411102i
$263$	5.11353	+	8.85690i	0.315314	+	0.546140i	0.979504	−	0.201424i	$-0.0645568\pi$
$263$	5.11353	+	8.85690i	0.315314	+	0.546140i	−0.664190	+	0.747564i	$0.731224\pi$
$264$	−4.67634	+	21.0570i	−0.287809	+	1.29597i
$265$	1.09598	+	1.89830i	0.0673257	+	0.116612i
$266$	3.49174	−	17.9112i	0.214092	−	1.09821i
$267$	23.2012	−	12.9563i	1.41989	−	0.792911i
$268$	−2.71538	+	5.14997i	−0.165868	+	0.314585i
$269$	5.49235	+	3.17101i	0.334874	+	0.193340i	0.658003	−	0.753015i	$-0.271401\pi$
$269$	5.49235	+	3.17101i	0.334874	+	0.193340i	−0.323129	+	0.946355i	$0.604735\pi$
$270$	4.51960	−	4.31005i	0.275054	−	0.262302i
$271$	−14.5461	−	25.1945i	−0.883610	−	1.53046i	−0.847298	−	0.531118i	$-0.821772\pi$
$271$	−14.5461	−	25.1945i	−0.883610	−	1.53046i	−0.0363123	−	0.999340i	$-0.511561\pi$
$272$	−6.75684	+	0.519695i	−0.409694	+	0.0315111i
$273$	−1.68153	+	0.0601737i	−0.101771	+	0.00364188i
$274$	−3.75920	−	13.0244i	−0.227102	−	0.786835i
$275$	16.3112	+	9.41730i	0.983605	+	0.567885i
$276$	−9.20277	−	15.0887i	−0.553942	−	0.908236i
$277$	14.9394	−	8.62525i	0.897620	−	0.518241i	0.0211927	−	0.999775i	$-0.493254\pi$
$277$	14.9394	−	8.62525i	0.897620	−	0.518241i	0.876427	+	0.481534i	$0.159920\pi$
$278$	19.4800	−	5.62245i	1.16833	−	0.337212i
$279$	7.30042	+	0.208940i	0.437065	+	0.0125089i
$280$	6.28446	+	0.976503i	0.375568	+	0.0583572i
$281$	5.55041	−	9.61359i	0.331110	−	0.573499i	−0.651620	−	0.758546i	$-0.725910\pi$
$281$	5.55041	−	9.61359i	0.331110	−	0.573499i	0.982730	+	0.185047i	$0.0592436\pi$
$282$	0.946362	−	3.60216i	0.0563551	−	0.214505i
$283$			15.6829i			0.932254i	0.884718	+	0.466127i	$0.154351\pi$
$283$			15.6829i			0.932254i	−0.884718	+	0.466127i	$0.845649\pi$
$284$	4.35065	+	2.29392i	0.258163	+	0.136119i
$285$	−0.102704	+	7.17844i	−0.00608364	+	0.425214i
$286$	−1.58533	+	1.64738i	−0.0937427	+	0.0974115i
$287$	−24.1954	+	1.21263i	−1.42821	+	0.0715791i
$288$	5.48539	+	16.0596i	0.323230	+	0.946321i
$289$	7.06484	+	12.2367i	0.415579	+	0.719804i
$290$	−0.202698	−	0.702285i	−0.0119028	−	0.0412396i
$291$	−0.181085	−	0.108032i	−0.0106154	−	0.00633298i
$292$	−18.1077	+	11.4026i	−1.05967	+	0.667288i
$293$	27.4098	−	15.8251i	1.60130	−	0.924510i	0.610070	−	0.792348i	$-0.291141\pi$
$293$	27.4098	−	15.8251i	1.60130	−	0.924510i	0.991228	−	0.132162i	$-0.0421919\pi$
$294$	−16.0056	+	6.14980i	−0.933467	+	0.358664i
$295$	2.69312	−	4.66462i	0.156800	−	0.271585i
$296$	16.9669	+	3.51410i	0.986181	+	0.204253i
$297$	10.5786	+	20.2859i	0.613832	+	1.17711i
$298$	−10.4162	−	10.0239i	−0.603393	−	0.580667i
$299$		−	1.87331i		−	0.108336i
$300$	14.8141	−	0.356722i	0.855295	−	0.0205953i
$301$	12.2899	−	7.94133i	0.708380	−	0.457731i
$302$	−7.49696	−	25.9746i	−0.431402	−	1.49467i
$303$	13.0747	+	23.4132i	0.751120	+	1.34506i
$304$	−17.5930	−	8.42983i	−1.00903	−	0.483484i
$305$	−1.02426	+	1.77407i	−0.0586488	+	0.101583i
$306$	−5.13026	+	5.03449i	−0.293277	+	0.287802i
$307$			28.8753i			1.64800i	0.566591	+	0.823999i	$0.308262\pi$
$307$			28.8753i			1.64800i	−0.566591	+	0.823999i	$0.691738\pi$
$308$	−9.82112	+	21.1271i	−0.559610	+	1.20383i
$309$	−22.9097	−	13.6676i	−1.30329	−	0.777521i
$310$	−2.10831	−	2.02891i	−0.119744	−	0.115234i
$311$	−10.0335			−0.568946			−0.284473	−	0.958684i	$-0.591819\pi$
$311$	−10.0335			−0.568946			−0.284473	+	0.958684i	$0.591819\pi$
$312$	−0.389972	+	1.75600i	−0.0220778	+	0.0994138i
$313$	−18.7879			−1.06196			−0.530978	−	0.847385i	$-0.678175\pi$
$313$	−18.7879			−1.06196			−0.530978	+	0.847385i	$0.678175\pi$
$314$	−6.15741	+	24.8801i	−0.347483	+	1.40406i
$315$	5.76818	−	3.49743i	0.325000	−	0.197058i
$316$	17.0964	+	9.01426i	0.961748	+	0.507092i
$317$		−	21.2485i		−	1.19344i	−0.802451	−	0.596718i	$-0.796471\pi$
$317$		−	21.2485i		−	1.19344i	0.802451	−	0.596718i	$-0.203529\pi$
$318$	−4.44538	+	4.48902i	−0.249284	+	0.251732i
$319$	2.67771			0.149923
$320$	2.70050	−	6.23967i	0.150963	−	0.348808i
$321$	7.16187	+	12.8250i	0.399736	+	0.715822i
$322$	−6.20518	−	18.0532i	−0.345801	−	1.00606i
$323$		−	8.26275i		−	0.459752i
$324$	15.4161	+	9.29213i	0.856450	+	0.516229i
$325$	1.36024	+	0.785333i	0.0754524	+	0.0435625i
$326$	4.41902	−	1.27545i	0.244747	−	0.0706404i
$327$	15.0945	−	25.3015i	0.834728	−	1.39918i
$328$	−5.25249	+	25.3603i	−0.290020	+	1.40029i
$329$	1.83450	−	3.58017i	0.101139	−	0.197381i
$330$	2.32903	−	8.86505i	0.128209	−	0.488005i
$331$		−	21.1577i		−	1.16293i	−0.813571	−	0.581465i	$-0.802480\pi$
$331$		−	21.1577i		−	1.16293i	0.813571	−	0.581465i	$-0.197520\pi$
$332$	−12.1626	−	19.3146i	−0.667509	−	1.06002i
$333$	16.1722	−	8.72993i	0.886233	−	0.478397i
$334$	−2.73347	−	9.47062i	−0.149569	−	0.518209i
$335$	1.23699	−	2.14253i	0.0675839	−	0.117059i
$336$	2.05841	+	18.2144i	0.112295	+	0.993675i
$337$	0.472077	+	0.817662i	0.0257157	+	0.0445409i	0.878597	−	0.477564i	$-0.158480\pi$
$337$	0.472077	+	0.817662i	0.0257157	+	0.0445409i	−0.852881	+	0.522105i	$0.825147\pi$
$338$	12.6159	−	13.1097i	0.686217	−	0.713073i
$339$	−26.4988	+	14.7977i	−1.43922	+	0.803702i
$340$	2.87759	−	0.110500i	0.156059	−	0.00599271i
$341$	9.28282	−	5.35944i	0.502693	−	0.290230i
$342$	−20.0362	+	5.16686i	−1.08343	+	0.279392i
$343$	−18.3117	+	2.77181i	−0.988737	+	0.149664i
$344$	−4.91134	−	14.8517i	−0.264802	−	0.800750i
$345$	3.66168	+	6.55710i	0.197138	+	0.353022i
$346$	3.96156	−	16.0074i	0.212975	−	0.860562i
$347$		−	9.41746i		−	0.505556i	−0.967524	−	0.252778i	$-0.918656\pi$
$347$		−	9.41746i		−	0.505556i	0.967524	−	0.252778i	$-0.0813442\pi$
$348$	1.79860	−	1.09698i	0.0964151	−	0.0588045i
$349$	−12.9410	−	7.47147i	−0.692714	−	0.399938i	0.111914	−	0.993718i	$-0.464302\pi$
$349$	−12.9410	−	7.47147i	−0.692714	−	0.399938i	−0.804628	+	0.593779i	$0.797635\pi$
$350$	15.7100	+	3.06262i	0.839735	+	0.163704i
$351$	0.882176	+	1.69169i	0.0470871	+	0.0902958i
$352$	19.2181	+	15.8435i	1.02433	+	0.844461i
$353$	0.147638	+	0.255717i	0.00785798	+	0.0136104i	0.869928	−	0.493179i	$-0.164165\pi$
$353$	0.147638	+	0.255717i	0.00785798	+	0.0136104i	−0.862070	+	0.506790i	$0.830832\pi$
$354$	15.0146	+	3.94465i	0.798017	+	0.209656i
$355$	−1.80998	−	1.04499i	−0.0960640	−	0.0554626i
$356$	−1.17743	−	30.6621i	−0.0624038	−	1.62509i
$357$	−6.58052	+	4.11987i	−0.348278	+	0.218047i
$358$	23.1325	+	22.2612i	1.22259	+	1.17654i
$359$	−8.84109	−	15.3132i	−0.466615	−	0.808200i	0.532658	−	0.846331i	$-0.321193\pi$
$359$	−8.84109	−	15.3132i	−0.466615	−	0.808200i	−0.999273	+	0.0381302i	$0.987860\pi$
$360$	−2.06736	−	6.90873i	−0.108960	−	0.364122i
$361$	2.39296	−	4.14472i	0.125945	−	0.218143i
$362$	−5.03221	+	20.3335i	−0.264487	+	1.06871i
$363$	12.4739	+	7.44174i	0.654709	+	0.390590i
$364$	−0.819008	+	1.76184i	−0.0429277	+	0.0923458i
$365$	7.87488	−	4.54657i	0.412190	−	0.237978i
$366$	−5.71041	−	1.50024i	−0.298488	−	0.0784190i
$367$	−14.7916	−	25.6198i	−0.772115	−	1.33734i	−0.936402	−	0.350929i	$-0.885866\pi$
$367$	−14.7916	−	25.6198i	−0.772115	−	1.33734i	0.164288	−	0.986412i	$-0.447468\pi$
$368$	−20.3478	+	1.56503i	−1.06070	+	0.0815827i
$369$	13.0485	+	24.1725i	0.679280	+	1.25837i
$370$	−7.14725	−	1.76883i	−0.371568	−	0.0919569i
$371$	−5.73142	+	3.70345i	−0.297561	+	0.192273i
$372$	4.03959	−	7.40280i	0.209443	−	0.383817i
$373$	22.9899	+	13.2732i	1.19037	+	0.687263i	0.958391	−	0.285457i	$-0.0921455\pi$
$373$	22.9899	+	13.2732i	1.19037	+	0.687263i	0.231982	+	0.972720i	$0.425479\pi$
$374$	−2.53432	+	10.2404i	−0.131047	+	0.529517i
$375$	−13.6556	−	0.195374i	−0.705173	−	0.0100891i
$376$	−3.21090	−	2.86094i	−0.165589	−	0.147542i
$377$	0.223302			0.0115006
$378$	14.1051	+	13.3808i	0.725490	+	0.688233i
$379$		−	26.9767i		−	1.38570i	−0.721082	−	0.692850i	$-0.756355\pi$
$379$		−	26.9767i		−	1.38570i	0.721082	−	0.692850i	$-0.243645\pi$
$380$	7.33294	+	3.86637i	0.376172	+	0.198341i
$381$	−0.410275	+	28.6761i	−0.0210190	+	1.46912i
$382$	−18.1314	−	4.48721i	−0.927682	−	0.229586i
$383$	8.19256	−	14.1899i	0.418620	−	0.725071i	−0.577181	−	0.816616i	$-0.695847\pi$
$383$	8.19256	−	14.1899i	0.418620	−	0.725071i	0.995801	+	0.0915450i	$0.0291805\pi$
$384$	19.3993	+	2.76883i	0.989967	+	0.141296i
$385$	4.51477	−	8.81094i	0.230094	−	0.449047i
$386$	−3.12533	−	0.773466i	−0.159075	−	0.0393684i
$387$	−14.1255	−	8.70347i	−0.718041	−	0.442422i
$388$	−0.206035	+	0.129743i	−0.0104598	+	0.00658668i
$389$	4.93535	−	2.84943i	0.250232	−	0.144472i	−0.369638	−	0.929176i	$-0.620518\pi$
$389$	4.93535	−	2.84943i	0.250232	−	0.144472i	0.619871	+	0.784704i	$0.287185\pi$
$390$	0.194224	−	0.739279i	0.00983492	−	0.0374349i
$391$	−4.32188	−	7.48571i	−0.218567	−	0.378569i
$392$	−2.05686	+	19.6919i	−0.103887	+	0.994589i
$393$	−6.02162	+	10.0935i	−0.303751	+	0.509149i
$394$	9.13363	−	36.9060i	0.460146	−	1.85930i
$395$	−7.11256	−	4.10644i	−0.357872	−	0.206617i
$396$	26.4165	−	0.258068i	1.32748	−	0.0129684i
$397$	7.78967	−	4.49737i	0.390952	−	0.225716i	−0.291620	−	0.956534i	$-0.594194\pi$
$397$	7.78967	−	4.49737i	0.390952	−	0.225716i	0.682573	+	0.730818i	$0.260861\pi$
$398$	−8.86855	+	9.21564i	−0.444540	+	0.461938i
$399$	−22.3353	+	0.799271i	−1.11816	+	0.0400136i
$400$	7.39385	−	15.4309i	0.369692	−	0.771545i
$401$	−9.55061	+	16.5421i	−0.476935	+	0.826075i	−0.999651	−	0.0264318i	$-0.991586\pi$
$401$	−9.55061	+	16.5421i	−0.476935	+	0.826075i	0.522716	+	0.852507i	$0.324919\pi$
$402$	6.89641	+	1.81183i	0.343962	+	0.0903660i
$403$	0.774118	−	0.446937i	0.0385616	−	0.0222635i
$404$	30.9423	−	1.18819i	1.53944	−	0.0591147i
$405$	−6.39453	−	4.19703i	−0.317747	−	0.208552i
$406$	2.15197	−	0.739666i	0.106800	−	0.0367090i
$407$	13.4863	−	23.3590i	0.668491	−	1.15786i
$408$	2.49290	+	7.91662i	0.123417	+	0.391931i
$409$	0.190164			0.00940300			0.00470150	−	0.999989i	$-0.498503\pi$
$409$	0.190164			0.00940300			0.00470150	+	0.999989i	$0.498503\pi$
$410$	2.64385	−	10.6829i	0.130570	−	0.527592i
$411$	−14.4957	+	8.09484i	−0.715020	+	0.399289i
$412$	−26.0662	+	16.4142i	−1.28419	+	0.808670i
$413$	14.9229	+	7.64660i	0.734310	+	0.376265i
$414$	−15.4494	+	15.1610i	−0.759299	+	0.745124i
$415$	4.84959	+	8.39974i	0.238057	+	0.412327i
$416$	1.60265	+	1.32123i	0.0785764	+	0.0647786i
$417$	−12.1071	−	21.6805i	−0.592885	−	1.06170i
$418$	−21.0576	+	21.8817i	−1.02996	+	1.07027i
$419$	4.59948	−	2.65551i	0.224699	−	0.129730i	−0.383425	−	0.923572i	$-0.625256\pi$
$419$	4.59948	−	2.65551i	0.224699	−	0.129730i	0.608124	+	0.793842i	$0.291922\pi$
$420$	−0.577051	−	7.76781i	−0.0281572	−	0.379031i
$421$	−21.0767	−	12.1686i	−1.02721	−	0.593062i	−0.111029	−	0.993817i	$-0.535415\pi$
$421$	−21.0767	−	12.1686i	−1.02721	−	0.593062i	−0.916185	+	0.400755i	$0.868748\pi$
$422$	5.89953	−	1.70276i	0.287185	−	0.0828891i
$423$	−4.55957	−	0.130496i	−0.221694	−	0.00634495i
$424$	2.29041	+	6.92610i	0.111232	+	0.336361i
$425$	7.24730			0.351546
$426$	1.53062	−	5.82602i	0.0741587	−	0.282272i
$427$	−5.67555	−	2.90818i	−0.274659	−	0.140737i
$428$	16.9491	−	0.650851i	0.819268	−	0.0314601i
$429$	2.40470	+	1.43461i	0.116100	+	0.0692636i
$430$	1.84330	+	6.38647i	0.0888920	+	0.307983i
$431$	−8.12994	+	14.0815i	−0.391605	+	0.678281i	−0.992661	−	0.120926i	$-0.961414\pi$
$431$	−8.12994	+	14.0815i	−0.391605	+	0.678281i	0.601056	+	0.799207i	$0.294747\pi$
$432$	17.6380	−	10.9954i	0.848611	−	0.529018i
$433$	26.6043			1.27852			0.639261	−	0.768990i	$-0.279240\pi$
$433$	26.6043			1.27852			0.639261	+	0.768990i	$0.279240\pi$
$434$	5.97977	−	6.87135i	0.287038	−	0.329835i
$435$	−0.781616	+	0.436478i	−0.0374756	+	0.0209275i
$436$	−18.1279	−	28.7876i	−0.868168	−	1.37868i
$437$		−	24.8827i		−	1.19030i
$438$	18.6222	+	18.4412i	0.889803	+	0.881153i
$439$	14.1861			0.677068			0.338534	−	0.940954i	$-0.390069\pi$
$439$	14.1861			0.677068			0.338534	+	0.940954i	$0.390069\pi$
$440$	−7.90214	−	7.04089i	−0.376720	−	0.335661i
$441$	11.7731	+	17.3895i	0.560623	+	0.828071i
$442$	−0.211344	+	0.853971i	−0.0100526	+	0.0406193i
$443$		−	10.2935i		−	0.489061i	−0.969642	−	0.244530i	$-0.921366\pi$
$443$		−	10.2935i		−	0.489061i	0.969642	−	0.244530i	$-0.0786338\pi$
$444$	−0.510853	−	21.2150i	−0.0242440	−	1.00682i
$445$			13.0391i			0.618110i
$446$	22.0528	−	22.9159i	1.04423	−	1.08510i
$447$	−9.07087	+	15.2047i	−0.429038	+	0.719155i
$448$	19.8213	+	7.42411i	0.936467	+	0.350756i
$449$	23.6429			1.11578			0.557888	−	0.829917i	$-0.311612\pi$
$449$	23.6429			1.11578			0.557888	+	0.829917i	$0.311612\pi$
$450$	−4.53188	−	17.5739i	−0.213635	−	0.828441i
$451$	34.9144	+	20.1578i	1.64405	+	0.949195i
$452$	1.34478	+	35.0200i	0.0632530	+	1.64720i
$453$	−28.9087	+	16.1435i	−1.35825	+	0.758488i
$454$	29.0635	−	8.38849i	1.36402	−	0.393691i
$455$	0.376498	−	0.734767i	0.0176505	−	0.0344464i
$456$	−5.17990	+	23.3245i	−0.242571	+	1.09227i
$457$	−9.83138			−0.459893			−0.229946	−	0.973203i	$-0.573855\pi$
$457$	−9.83138			−0.459893			−0.229946	+	0.973203i	$0.573855\pi$
$458$	26.0968	+	25.1139i	1.21942	+	1.17350i
$459$	7.42802	+	4.72471i	0.346710	+	0.220531i
$460$	8.66567	−	0.332764i	0.404039	−	0.0155152i
$461$	7.65451	+	4.41933i	0.356506	+	0.205829i	0.667547	−	0.744568i	$-0.267344\pi$
$461$	7.65451	+	4.41933i	0.356506	+	0.205829i	−0.311041	+	0.950396i	$0.600678\pi$
$462$	27.9262	+	5.86004i	1.29925	+	0.272634i
$463$	−2.85776	−	4.94979i	−0.132812	−	0.230036i	0.791948	−	0.610589i	$-0.209067\pi$
$463$	−2.85776	−	4.94979i	−0.132812	−	0.230036i	−0.924759	+	0.380552i	$0.875734\pi$
$464$	−0.186554	−	2.42549i	−0.00866053	−	0.112600i
$465$	−1.83601	+	3.07754i	−0.0851431	+	0.142717i
$466$	9.64411	+	33.4138i	0.446755	+	1.54786i
$467$	−16.3435	+	9.43590i	−0.756285	+	0.436641i	−0.827960	−	0.560787i	$-0.810499\pi$
$467$	−16.3435	+	9.43590i	−0.756285	+	0.436641i	0.0716753	+	0.997428i	$0.477165\pi$
$468$	2.20294	−	0.0215210i	0.101831	−	0.000994807i
$469$	6.85432	+	3.51219i	0.316503	+	0.162178i
$470$	1.31677	+	1.26718i	0.0607383	+	0.0584507i
$471$	31.3879	+	0.449073i	1.44628	+	0.0206922i
$472$	11.9250	−	13.3837i	0.548895	−	0.616037i
$473$	−24.3507			−1.11965
$474$	6.01475	−	22.8941i	0.276267	−	1.05156i
$475$	18.0677	+	10.4314i	0.829002	+	0.478625i
$476$	0.791976	+	8.92981i	0.0363001	+	0.409297i
$477$	6.58745	+	4.05887i	0.301619	+	0.185843i
$478$	−5.38625	−	18.6616i	−0.246361	−	0.853564i
$479$	−6.74592	−	11.6843i	−0.308229	−	0.533868i	0.669746	−	0.742590i	$-0.266403\pi$
$479$	−6.74592	−	11.6843i	−0.308229	−	0.533868i	−0.977975	+	0.208722i	$0.933070\pi$
$480$	−8.19226	−	1.49203i	−0.373924	−	0.0681016i
$481$	1.12466	−	1.94796i	0.0512800	−	0.0888195i
$482$	−0.580424	−	2.01098i	−0.0264376	−	0.0915978i
$483$	−19.8168	+	12.4067i	−0.901696	+	0.564525i
$484$	14.1926	−	8.93723i	0.645117	−	0.406238i
$485$	0.0896029	−	0.0517323i	0.00406866	−	0.00234904i
$486$	6.81200	−	20.9666i	0.308999	−	0.951062i
$487$	17.5384	−	30.3773i	0.794739	−	1.37653i	−0.128265	−	0.991740i	$-0.540941\pi$
$487$	17.5384	−	30.3773i	0.794739	−	1.37653i	0.923004	−	0.384789i	$-0.125726\pi$
$488$	−4.53538	+	5.09016i	−0.205307	+	0.230421i
$489$	−2.74647	−	4.91819i	−0.124200	−	0.222408i
$490$	1.19448	−	8.32809i	0.0539612	−	0.376225i
$491$	−37.2718	+	21.5189i	−1.68205	+	0.971133i	−0.721756	+	0.692148i	$0.756665\pi$
$491$	−37.2718	+	21.5189i	−1.68205	+	0.971133i	−0.960295	+	0.278985i	$0.910002\pi$
$492$	31.7098	−	0.763566i	1.42959	−	0.0344242i
$493$	0.892308	−	0.515174i	0.0401875	−	0.0232023i
$494$	−1.75604	+	1.82477i	−0.0790082	+	0.0821004i
$495$	−11.2213	−	0.321156i	−0.504359	−	0.0144349i
$496$	−5.50133	−	8.03503i	−0.247017	−	0.360784i
$497$	2.96706	−	5.79046i	0.133091	−	0.259738i
$498$	−19.6703	+	19.8634i	−0.881445	+	0.890098i
$499$	11.4079	+	6.58635i	0.510688	+	0.294846i	0.733116	−	0.680103i	$-0.238065\pi$
$499$	11.4079	+	6.58635i	0.510688	+	0.294846i	−0.222429	+	0.974949i	$0.571398\pi$
$500$	−7.35503	+	13.9495i	−0.328927	+	0.623841i
$501$	−10.5404	+	5.88609i	−0.470911	+	0.262971i
$502$	−0.0996254	+	0.402554i	−0.00444650	+	0.0179669i
$503$	−36.4456			−1.62503			−0.812515	−	0.582940i	$-0.801902\pi$
$503$	−36.4456			−1.62503			−0.812515	+	0.582940i	$0.801902\pi$
$504$	21.1585	−	7.50444i	0.942476	−	0.334274i
$505$	−13.1582			−0.585532
$506$	−7.63194	+	30.8382i	−0.339281	+	1.37093i
$507$	−19.1364	−	11.4165i	−0.849878	−	0.507025i
$508$	29.2933	+	15.4452i	1.29968	+	0.685269i
$509$	−14.8681	−	8.58411i	−0.659018	−	0.380484i	0.132885	−	0.991131i	$-0.457576\pi$
$509$	−14.8681	−	8.58411i	−0.659018	−	0.380484i	−0.791903	+	0.610647i	$0.790909\pi$
$510$	−0.929461	−	3.40223i	−0.0411572	−	0.150653i
$511$	15.3634	+	23.7762i	0.679635	+	1.05180i
$512$	13.0122	−	18.5117i	0.575064	−	0.818109i
$513$	11.7177	+	22.4703i	0.517350	+	0.992088i
$514$	0.610619	−	0.634517i	0.0269332	−	0.0279873i
$515$	11.3360	−	6.54483i	0.499523	−	0.288400i
$516$	−16.3562	+	9.97579i	−0.720041	+	0.439160i
$517$	−5.79770	+	3.34731i	−0.254983	+	0.147214i
$518$	4.38591	−	22.4979i	0.192706	−	0.988502i
$519$	−20.1943	−	0.288925i	−0.886433	−	0.0126824i
$520$	−0.658980	−	0.587158i	−0.0288982	−	0.0257486i
$521$	−20.4220	+	35.3719i	−0.894703	+	1.54967i	−0.0605312	+	0.998166i	$0.519279\pi$
$521$	−20.4220	+	35.3719i	−0.894703	+	1.54967i	−0.834172	+	0.551505i	$0.814054\pi$
$522$	−1.80722	−	1.84160i	−0.0790997	−	0.0806045i
$523$	−10.2347	+	5.90898i	−0.447531	+	0.258382i	−0.706787	−	0.707427i	$-0.749856\pi$
$523$	−10.2347	+	5.90898i	−0.447531	+	0.258382i	0.259256	+	0.965809i	$0.416523\pi$
$524$	7.23172	+	11.4842i	0.315919	+	0.501689i
$525$	−0.701046	−	19.5904i	−0.0305961	−	0.854996i
$526$	−4.01076	−	13.8960i	−0.174878	−	0.605896i
$527$	2.06224	−	3.57190i	0.0898326	−	0.155595i
$528$	13.5737	−	27.3182i	0.590718	−	1.18887i
$529$	−1.51505	−	2.62415i	−0.0658718	−	0.114093i
$530$	−0.859626	−	2.97833i	−0.0373398	−	0.129371i
$531$	0.543938	−	19.0053i	0.0236049	−	0.824760i
$532$	−10.8787	+	23.4021i	−0.471651	+	1.01461i
$533$	2.91160	+	1.68101i	0.126115	+	0.0728128i
$534$	−36.2524	+	9.90385i	−1.56880	+	0.428581i
$535$	−7.20762			−0.311613
$536$	5.47734	−	6.14734i	0.236585	−	0.265525i
$537$	20.1448	−	33.7668i	0.869312	−	1.45715i
$538$	−6.46255	−	6.21915i	−0.278620	−	0.268127i
$539$	28.0986	+	12.6644i	1.21029	+	0.545494i
$540$	−7.66882	+	4.38132i	−0.330013	+	0.188542i
$541$	−22.0852	+	12.7509i	−0.949518	+	0.548205i	−0.892931	−	0.450193i	$-0.851355\pi$
$541$	−22.0852	+	12.7509i	−0.949518	+	0.548205i	−0.0565871	+	0.998398i	$0.518022\pi$
$542$	11.4091	+	39.5289i	0.490063	+	1.69791i
$543$	25.6521	+	0.367010i	1.10084	+	0.0157499i
$544$	9.45234	+	1.58216i	0.405266	+	0.0678348i
$545$	7.22813	+	12.5195i	0.309619	+	0.536276i
$546$	2.32884	+	0.488684i	0.0996652	+	0.0209137i
$547$	−8.48266	−	4.89747i	−0.362692	−	0.209401i	0.307569	−	0.951526i	$-0.400485\pi$
$547$	−8.48266	−	4.89747i	−0.362692	−	0.209401i	−0.670261	+	0.742125i	$0.733818\pi$
$548$	0.735637	+	19.1571i	0.0314249	+	0.818350i
$549$	−0.206873	+	7.22817i	−0.00882910	+	0.308491i
$550$	−19.1926	−	18.4697i	−0.818374	−	0.787551i
$551$	2.96606			0.126358
$552$	7.50722	+	23.8404i	0.319528	+	1.01471i
$553$	11.6594	−	22.7543i	0.495810	−	0.967613i
$554$	−23.4391	+	6.76515i	−0.995833	+	0.287424i
$555$	−0.129004	+	9.01672i	−0.00547592	+	0.382738i
$556$	−28.6523	+	1.10026i	−1.21513	+	0.0466613i
$557$	−16.4653	−	9.50626i	−0.697658	−	0.402793i	0.108817	−	0.994062i	$-0.465294\pi$
$557$	−16.4653	−	9.50626i	−0.697658	−	0.402793i	−0.806475	+	0.591269i	$0.798627\pi$
$558$	−9.95102	−	2.76711i	−0.421260	−	0.117141i
$559$	−2.03067			−0.0858881
$560$	−8.29553	−	3.47565i	−0.350550	−	0.146873i
$561$	12.9189	+	0.184834i	0.545436	+	0.00780368i
$562$	−10.8858	+	11.3118i	−0.459188	+	0.477159i
$563$		−	22.9308i		−	0.966419i	−0.875505	−	0.483210i	$-0.839471\pi$
$563$		−	22.9308i		−	0.966419i	0.875505	−	0.483210i	$-0.160529\pi$
$564$	−2.52298	+	4.62351i	−0.106237	+	0.194685i
$565$		−	14.8923i		−	0.626522i
$566$	5.32820	−	21.5295i	0.223961	−	0.904953i
$567$	12.0530	−	20.5360i	0.506178	−	0.862429i
$568$	−5.19321	−	4.62720i	−0.217902	−	0.194153i
$569$	−15.3599			−0.643919			−0.321960	−	0.946753i	$-0.604341\pi$
$569$	−15.3599			−0.643919			−0.321960	+	0.946753i	$0.604341\pi$
$570$	2.57983	−	9.81966i	0.108057	−	0.411300i
$571$			34.1764i			1.43024i	0.699003	+	0.715119i	$0.253627\pi$
$571$			34.1764i			1.43024i	−0.699003	+	0.715119i	$0.746373\pi$
$572$	2.73603	−	1.72291i	0.114399	−	0.0720384i
$573$	−0.327262	+	22.8739i	−0.0136716	+	0.955571i
$574$	33.6274	+	6.55558i	1.40358	+	0.273625i
$575$	21.8248			0.910156
$576$	−2.07417	−	23.9102i	−0.0864237	−	0.996258i
$577$	−14.2559	+	24.6920i	−0.593481	+	1.02794i	0.400278	+	0.916394i	$0.368913\pi$
$577$	−14.2559	+	24.6920i	−0.593481	+	1.02794i	−0.993759	+	0.111546i	$0.964420\pi$
$578$	−5.54126	−	19.1987i	−0.230486	−	0.798561i
$579$	−0.0564105	+	3.94280i	−0.00234434	+	0.163857i
$580$	0.0396659	+	1.03296i	0.00164704	+	0.0428914i
$581$	−25.3609	+	16.3873i	−1.05215	+	0.679860i
$582$	0.211889	+	0.209829i	0.00878309	+	0.00869770i
$583$	11.3560			0.470316
$584$	28.7322	−	9.50150i	1.18895	−	0.393175i
$585$	−0.935772	−	0.0267821i	−0.0386894	−	0.00110730i
$586$	−43.0046	+	12.4123i	−1.77650	+	0.512746i
$587$	−13.7260	−	7.92471i	−0.566533	−	0.327088i	0.189230	−	0.981933i	$-0.439401\pi$
$587$	−13.7260	−	7.92471i	−0.566533	−	0.327088i	−0.755763	+	0.654845i	$0.772734\pi$
$588$	24.0618	−	3.00461i	0.992294	−	0.123908i
$589$	10.2824	−	5.93655i	0.423679	−	0.244611i
$590$	−5.28189	+	5.48861i	−0.217452	+	0.225962i
$591$	−46.5594	−	0.666135i	−1.91520	−	0.0274011i
$592$	−22.0982	−	10.5886i	−0.908231	−	0.435187i
$593$	2.00101	+	3.46585i	0.0821716	+	0.142325i	0.904182	−	0.427146i	$-0.140481\pi$
$593$	2.00101	+	3.46585i	0.0821716	+	0.142325i	−0.822011	+	0.569472i	$0.807148\pi$
$594$	−7.63024	−	31.4424i	−0.313073	−	1.29010i
$595$	−0.190685	−	3.80472i	−0.00781733	−	0.155978i
$596$	10.8938	+	17.2996i	0.446225	+	0.708619i
$597$	13.4522	+	8.02539i	0.550562	+	0.328458i
$598$	−0.636448	+	2.57168i	−0.0260263	+	0.105164i
$599$	−36.7842			−1.50296			−0.751481	−	0.659755i	$-0.770660\pi$
$599$	−36.7842			−1.50296			−0.751481	+	0.659755i	$0.770660\pi$
$600$	−20.4580	−	4.54332i	−0.835195	−	0.185480i
$601$	10.3788	−	17.9766i	0.423359	−	0.733280i	−0.572906	−	0.819621i	$-0.694184\pi$
$601$	10.3788	−	17.9766i	0.423359	−	0.733280i	0.996266	+	0.0863410i	$0.0275174\pi$
$602$	−19.5696	+	6.72640i	−0.797598	+	0.274148i
$603$	0.249838	−	8.72940i	0.0101742	−	0.355489i
$604$	1.46708	+	38.2049i	0.0596946	+	1.55454i
$605$	−6.17223	+	3.56354i	−0.250937	+	0.144879i
$606$	−9.99434	−	36.5837i	−0.405992	−	1.48611i
$607$	−1.23949	+	2.14686i	−0.0503093	+	0.0871383i	−0.890083	−	0.455798i	$-0.849354\pi$
$607$	−1.23949	+	2.14686i	−0.0503093	+	0.0871383i	0.839774	+	0.542936i	$0.182687\pi$
$608$	21.2876	+	17.5496i	0.863326	+	0.711729i
$609$	−1.47890	−	2.36219i	−0.0599280	−	0.0957209i
$610$	2.00883	−	2.08745i	0.0813351	−	0.0845183i
$611$	−0.483485	+	0.279140i	−0.0195597	+	0.0112928i
$612$	8.75325	−	5.16835i	0.353829	−	0.208918i
$613$	28.8303	+	16.6452i	1.16445	+	0.672293i	0.952365	−	0.304959i	$-0.0986428\pi$
$613$	28.8303	+	16.6452i	1.16445	+	0.672293i	0.212080	+	0.977252i	$0.431976\pi$
$614$	9.81021	−	39.6399i	0.395908	−	1.59974i
$615$	−13.4772	−	0.192821i	−0.543453	−	0.00777530i
$616$	20.6602	−	25.6666i	0.832425	−	1.03414i
$617$	6.80791	+	11.7916i	0.274076	+	0.474713i	0.969902	−	0.243497i	$-0.0782947\pi$
$617$	6.80791	+	11.7916i	0.274076	+	0.474713i	−0.695826	+	0.718211i	$0.744961\pi$
$618$	26.8069	+	26.5463i	1.07833	+	1.06785i
$619$	12.9848	−	7.49678i	0.521903	−	0.301321i	−0.215810	−	0.976435i	$-0.569239\pi$
$619$	12.9848	−	7.49678i	0.521903	−	0.301321i	0.737713	+	0.675115i	$0.235906\pi$
$620$	2.20498	+	3.50157i	0.0885540	+	0.140626i
$621$	22.3690	+	14.2282i	0.897637	+	0.570957i
$622$	13.7739	+	3.40882i	0.552285	+	0.136681i
$623$	−40.5411	+	2.03184i	−1.62425	+	0.0814040i
$624$	1.13194	−	2.27814i	0.0453140	−	0.0911985i
$625$	−7.34371	+	12.7197i	−0.293748	+	0.508787i
$626$	25.7920	+	6.38310i	1.03086	+	0.255120i
$627$	31.9410	+	19.0556i	1.27560	+	0.761006i
$628$	16.9058	−	32.0634i	0.674613	−	1.27947i
$629$		−	10.3787i		−	0.413826i
$630$	−9.10678	+	2.84156i	−0.362823	+	0.113210i
$631$	−29.8664			−1.18896			−0.594481	−	0.804110i	$-0.702642\pi$
$631$	−29.8664			−1.18896			−0.594481	+	0.804110i	$0.702642\pi$
$632$	−20.4074	−	18.1832i	−0.811761	−	0.723288i
$633$	−3.66662	−	6.56595i	−0.145735	−	0.260973i
$634$	−7.21907	+	29.1699i	−0.286706	+	1.15848i
$635$	−12.1868	−	7.03604i	−0.483618	−	0.279217i
$636$	7.62772	−	4.65222i	0.302459	−	0.184472i
$637$	2.34321	+	1.05612i	0.0928415	+	0.0418448i
$638$	−3.67596	−	0.909739i	−0.145533	−	0.0360169i
$639$	−7.37451	−	0.211061i	−0.291731	−	0.00834944i
$640$	−5.82714	+	7.64833i	−0.230338	+	0.302327i
$641$	−5.72938	−	9.92358i	−0.226297	−	0.391958i	0.730411	−	0.683008i	$-0.239329\pi$
$641$	−5.72938	−	9.92358i	−0.226297	−	0.391958i	−0.956708	+	0.291050i	$0.905995\pi$
$642$	−5.47457	−	20.0393i	−0.216064	−	0.790890i
$643$	10.6382	−	6.14199i	0.419531	−	0.242216i	−0.275346	−	0.961345i	$-0.588792\pi$
$643$	10.6382	−	6.14199i	0.419531	−	0.242216i	0.694877	+	0.719129i	$0.255459\pi$
$644$	2.38498	+	26.8915i	0.0939815	+	1.05968i
$645$	7.10789	−	3.96926i	0.279873	−	0.156289i
$646$	−2.80722	+	11.3431i	−0.110449	+	0.446288i
$647$	5.30257	−	9.18432i	0.208466	−	0.361073i	−0.742766	−	0.669551i	$-0.766486\pi$
$647$	5.30257	−	9.18432i	0.208466	−	0.361073i	0.951231	+	0.308478i	$0.0998197\pi$
$648$	−18.0062	−	17.9938i	−0.707352	−	0.706861i
$649$	−13.9523	−	24.1661i	−0.547676	−	0.948603i
$650$	−1.60052	−	1.54024i	−0.0627775	−	0.0604131i
$651$	−9.85481	−	5.22899i	−0.386240	−	0.204940i
$652$	−6.49974	+	0.249592i	−0.254549	+	0.00977476i
$653$	−8.94999	−	5.16728i	−0.350240	−	0.202211i	0.314551	−	0.949241i	$-0.398146\pi$
$653$	−8.94999	−	5.16728i	−0.350240	−	0.202211i	−0.664791	+	0.747029i	$0.731479\pi$
$654$	−29.3178	+	29.6056i	−1.14642	+	1.15767i
$655$	−2.88350	−	4.99438i	−0.112668	−	0.195146i
$656$	15.8266	−	33.0300i	0.617925	−	1.28960i
$657$	16.8378	−	27.3273i	0.656905	−	1.06614i
$658$	−3.73474	+	4.29159i	−0.145595	+	0.167304i
$659$	−2.35708	−	1.36086i	−0.0918187	−	0.0530115i	0.453388	−	0.891313i	$-0.350215\pi$
$659$	−2.35708	−	1.36086i	−0.0918187	−	0.0530115i	−0.545206	+	0.838302i	$0.683549\pi$
$660$	−6.20914	+	11.3786i	−0.241691	+	0.442913i
$661$			2.89945i			0.112775i	0.998409	+	0.0563877i	$0.0179583\pi$
$661$			2.89945i			0.112775i	−0.998409	+	0.0563877i	$0.982042\pi$
$662$	−7.18821	+	29.0452i	−0.279378	+	1.12887i
$663$	1.07734	+	0.0154137i	0.0418404	+	0.000598620i
$664$	10.1348	+	30.6472i	0.393305	+	1.18934i
$665$	5.00093	−	9.75972i	0.193928	−	0.378466i
$666$	−25.1671	+	6.49000i	−0.975207	+	0.251483i
$667$	2.68713	−	1.55141i	0.104046	−	0.0600710i
$668$	0.534912	+	13.9299i	0.0206964	+	0.538965i
$669$	−33.4507	−	19.9562i	−1.29328	−	0.771550i
$670$	−2.42605	+	2.52099i	−0.0937263	+	0.0973945i
$671$	5.30640	+	9.19095i	0.204851	+	0.354813i
$672$	3.36246	−	25.7040i	0.129710	−	0.991552i
$673$	−1.59176	+	2.75700i	−0.0613577	+	0.106275i	−0.895073	−	0.445921i	$-0.852876\pi$
$673$	−1.59176	+	2.75700i	−0.0613577	+	0.106275i	0.833715	+	0.552195i	$0.186210\pi$
$674$	−0.370271	−	1.28287i	−0.0142623	−	0.0494143i
$675$	−19.7088	+	10.2777i	−0.758593	+	0.395588i
$676$	−21.7731	+	13.7108i	−0.837426	+	0.527337i
$677$			17.8899i			0.687564i	0.939049	+	0.343782i	$0.111708\pi$
$677$			17.8899i			0.687564i	−0.939049	+	0.343782i	$0.888292\pi$
$678$	41.4049	−	11.3115i	1.59015	−	0.434414i
$679$	0.174809	+	0.270533i	0.00670856	+	0.0103821i
$680$	−3.98789	−	0.825951i	−0.152929	−	0.0316738i
$681$	−18.0633	−	32.3465i	−0.692186	−	1.23952i
$682$	−14.5643	+	4.20364i	−0.557695	+	0.160966i
$683$	−4.96671	−	2.86753i	−0.190046	−	0.109723i	0.401958	−	0.915658i	$-0.368330\pi$
$683$	−4.96671	−	2.86753i	−0.190046	−	0.109723i	−0.592004	+	0.805935i	$0.701663\pi$
$684$	29.2611	−	0.285858i	1.11883	−	0.0109300i
$685$		−	8.14655i		−	0.311264i
$686$	26.0799	+	2.41615i	0.995736	+	0.0922490i
$687$	22.7263	−	38.0939i	0.867062	−	1.45337i
$688$	1.69649	+	22.0570i	0.0646780	+	0.840914i
$689$	0.947004			0.0360780
$690$	−2.79901	−	10.2456i	−0.106556	−	0.390044i
$691$		−	27.6819i		−	1.05307i	−0.850154	−	0.526534i	$-0.823491\pi$
$691$		−	27.6819i		−	1.05307i	0.850154	−	0.526534i	$-0.176509\pi$
$692$	−10.8768	+	20.6290i	−0.413475	+	0.784196i
$693$	−0.750040	−	34.9394i	−0.0284917	−	1.32724i
$694$	−3.19953	+	12.9283i	−0.121453	+	0.490750i
$695$	12.1844			0.462181
$696$	−2.84181	+	0.894871i	−0.107719	+	0.0339200i
$697$	15.5129			0.587594
$698$	15.2269	+	14.6534i	0.576348	+	0.554641i
$699$	37.1882	−	20.7670i	1.40659	−	0.785481i
$700$	−20.5261	−	9.54175i	−0.775815	−	0.360644i
$701$			25.0241i			0.945146i	0.881291	+	0.472573i	$0.156675\pi$
$701$			25.0241i			0.945146i	−0.881291	+	0.472573i	$0.843325\pi$
$702$	−0.636306	−	2.62207i	−0.0240158	−	0.0989635i
$703$	14.9385	−	25.8743i	0.563418	−	0.975868i
$704$	−20.9999	−	28.2792i	−0.791463	−	1.06581i
$705$	1.14671	−	1.92212i	0.0431874	−	0.0723911i
$706$	−0.115799	−	0.401206i	−0.00435815	−	0.0150996i
$707$	−2.05041	−	40.9116i	−0.0771135	−	1.53864i
$708$	−19.2718	−	10.5163i	−0.724280	−	0.395228i
$709$			53.1391i			1.99568i	0.0656732	+	0.997841i	$0.479081\pi$
$709$			53.1391i			1.99568i	−0.0656732	+	0.997841i	$0.520919\pi$
$710$	2.12971	+	2.04950i	0.0799266	+	0.0769163i
$711$	−28.9791	−	0.829390i	−1.08680	−	0.0311045i
$712$	−8.80091	+	42.4929i	−0.329828	+	1.59249i
$713$	6.21030	−	10.7566i	0.232578	−	0.402836i
$714$	10.4334	−	3.42005i	0.390461	−	0.127992i
$715$	−1.18988	+	0.686975i	−0.0444988	+	0.0256914i
$716$	−24.1931	−	38.4193i	−0.904138	−	1.43580i
$717$	−20.7697	+	11.5984i	−0.775658	+	0.433151i
$718$	6.93444	+	24.0257i	0.258791	+	0.896629i
$719$	−3.60706	−	6.24761i	−0.134521	−	0.232997i	0.790894	−	0.611954i	$-0.209616\pi$
$719$	−3.60706	−	6.24761i	−0.134521	−	0.232997i	−0.925414	+	0.378957i	$0.876283\pi$
$720$	0.490870	+	10.1867i	0.0182936	+	0.379634i
$721$	22.1157	+	34.2261i	0.823632	+	1.27465i
$722$	−4.69319	+	4.87687i	−0.174663	+	0.181498i
$723$	−2.23815	+	1.24985i	−0.0832376	+	0.0464824i
$724$	13.8164	−	26.2041i	0.513483	−	0.973869i
$725$			2.60155i			0.0966190i
$726$	−14.5958	−	14.4539i	−0.541702	−	0.536436i
$727$	2.85162	−	4.93915i	0.105761	−	0.183183i	−0.808288	−	0.588787i	$-0.799606\pi$
$727$	2.85162	−	4.93915i	0.105761	−	0.183183i	0.914049	+	0.405604i	$0.132939\pi$
$728$	1.72291	−	2.14040i	0.0638553	−	0.0793286i
$729$	−26.9006	−	2.31477i	−0.996318	−	0.0857321i
$730$	−12.3553	+	3.56607i	−0.457290	+	0.131986i
$731$	−8.11450	+	4.68491i	−0.300126	+	0.173278i
$732$	7.32954	+	3.99961i	0.270908	+	0.147830i
$733$	21.5462	+	12.4397i	0.795827	+	0.459471i	0.842010	−	0.539462i	$-0.181372\pi$
$733$	21.5462	+	12.4397i	0.795827	+	0.459471i	−0.0461826	+	0.998933i	$0.514706\pi$
$734$	11.6017	+	40.1961i	0.428226	+	1.48367i
$735$	−10.2662	+	0.883485i	−0.378675	+	0.0325878i
$736$	28.4651	+	4.76458i	1.04924	+	0.175625i
$737$	−6.40849	−	11.0998i	−0.236060	−	0.408868i
$738$	−9.70054	−	37.6171i	−0.357082	−	1.38470i
$739$	10.4327	+	6.02333i	0.383773	+	0.221572i	0.679459	−	0.733714i	$-0.262215\pi$
$739$	10.4327	+	6.02333i	0.383773	+	0.221572i	−0.295685	+	0.955285i	$0.595548\pi$
$740$	9.21078	+	4.85648i	0.338595	+	0.178528i
$741$	2.66365	+	1.58909i	0.0978515	+	0.0583768i
$742$	9.12631	−	3.13687i	0.335037	−	0.115158i
$743$	15.1714	+	26.2776i	0.556584	+	0.964032i	0.997778	+	0.0666203i	$0.0212216\pi$
$743$	15.1714	+	26.2776i	0.556584	+	0.964032i	−0.441194	+	0.897412i	$0.645445\pi$
$744$	−8.06060	+	8.79012i	−0.295516	+	0.322261i
$745$	−4.34366	−	7.52345i	−0.159140	−	0.275638i
$746$	−27.0510	−	26.0322i	−0.990408	−	0.953106i
$747$	29.1487	+	17.9600i	1.06649	+	0.657122i
$748$	6.95822	−	13.1969i	0.254418	−	0.482528i
$749$	−1.12315	−	22.4100i	−0.0410388	−	0.818844i
$750$	18.6800	+	4.90763i	0.682098	+	0.179201i
$751$	−4.90043	+	8.48779i	−0.178819	+	0.309724i	−0.941476	−	0.337079i	$-0.890561\pi$
$751$	−4.90043	+	8.48779i	−0.178819	+	0.309724i	0.762657	+	0.646803i	$0.223894\pi$
$752$	3.43592	+	5.01838i	0.125295	+	0.183002i
$753$	0.507848	+	0.00726589i	0.0185070	+	0.000264784i
$754$	−0.306548	−	0.0758655i	−0.0111638	−	0.00276286i
$755$		−	16.2466i		−	0.591276i
$756$	−14.8175	−	23.1612i	−0.538906	−	0.842366i
$757$		−	19.9237i		−	0.724139i	−0.932151	−	0.362070i	$-0.882070\pi$
$757$		−	19.9237i		−	0.724139i	0.932151	−	0.362070i	$-0.117930\pi$
$758$	−9.16519	+	37.0336i	−0.332895	+	1.34512i
$759$	38.9044	+	0.556614i	1.41214	+	0.0202038i
$760$	−8.75306	−	7.79907i	−0.317507	−	0.282902i
$761$	−0.704845	+	1.22083i	−0.0255506	+	0.0442550i	−0.878518	−	0.477709i	$-0.841467\pi$
$761$	−0.704845	+	1.22083i	−0.0255506	+	0.0442550i	0.852967	+	0.521964i	$0.174801\pi$
$762$	10.3058	−	39.2271i	0.373339	−	1.42105i
$763$	−37.7994	+	24.4247i	−1.36843	+	0.884232i
$764$	23.3662	+	12.3201i	0.845360	+	0.445725i
$765$	−3.80111	+	2.05188i	−0.137429	+	0.0741858i
$766$	−16.0677	+	16.6965i	−0.580549	+	0.603270i
$767$	−1.16352	−	2.01527i	−0.0420123	−	0.0727674i
$768$	−25.6906	−	10.3919i	−0.927031	−	0.374984i
$769$	15.8577	+	27.4663i	0.571843	+	0.990462i	0.996377	+	0.0850495i	$0.0271048\pi$
$769$	15.8577	+	27.4663i	0.571843	+	0.990462i	−0.424533	+	0.905412i	$0.639562\pi$
$770$	−9.19134	+	10.5618i	−0.331233	+	0.380619i
$771$	−0.926213	−	0.552565i	−0.0333568	−	0.0199002i
$772$	4.02766	+	2.12363i	0.144959	+	0.0764309i
$773$	−17.9067	−	10.3385i	−0.644061	−	0.371849i	0.142116	−	0.989850i	$-0.454609\pi$
$773$	−17.9067	−	10.3385i	−0.644061	−	0.371849i	−0.786177	+	0.618001i	$0.787943\pi$
$774$	16.4345	+	16.7472i	0.590727	+	0.601965i
$775$	5.20699	+	9.01876i	0.187040	+	0.323964i
$776$	0.326924	−	0.108111i	0.0117359	−	0.00388096i
$777$	−28.0550	+	1.00395i	−1.00647	+	0.0360165i
$778$	−7.74332	+	2.23493i	−0.277611	+	0.0801261i
$779$	38.6741	+	22.3285i	1.38564	+	0.800001i
$780$	−0.517797	+	0.948894i	−0.0185401	+	0.0339759i
$781$	−9.37703	+	5.41383i	−0.335536	+	0.193722i
$782$	3.38983	+	11.7447i	0.121220	+	0.419990i
$783$	−1.69602	+	2.66642i	−0.0606108	+	0.0952900i
$784$	9.51386	−	26.3341i	0.339781	−	0.940505i
$785$	−7.70140	+	13.3392i	−0.274875	+	0.476097i
$786$	11.6957	−	11.8105i	0.417171	−	0.421266i
$787$		−	41.2661i		−	1.47098i	−0.677536	−	0.735489i	$-0.736952\pi$
$787$		−	41.2661i		−	1.47098i	0.677536	−	0.735489i	$-0.263048\pi$
$788$	−25.0773	+	47.5614i	−0.893340	+	1.69431i
$789$	−15.4657	+	8.63653i	−0.550595	+	0.307469i
$790$	8.36896	+	8.05376i	0.297754	+	0.286540i
$791$	46.3032	−	2.32062i	1.64635	−	0.0825119i
$792$	−36.3522	−	8.62059i	−1.29172	−	0.306319i
$793$	0.442514	+	0.766457i	0.0157141	+	0.0272177i
$794$	−12.2216	+	3.52748i	−0.433728	+	0.125185i
$795$	−3.31477	+	1.85107i	−0.117563	+	0.0656506i
$796$	15.3057	−	9.63817i	0.542496	−	0.341616i
$797$	6.56746	−	3.79172i	0.232631	−	0.134310i	−0.379154	−	0.925334i	$-0.623785\pi$
$797$	6.56746	−	3.79172i	0.232631	−	0.134310i	0.611785	+	0.791024i	$0.290452\pi$
$798$	30.9334	+	6.49106i	1.09503	+	0.229781i
$799$	−1.28800	+	2.23088i	−0.0455661	+	0.0789228i
$800$	−15.3928	+	18.6715i	−0.544218	+	0.660136i
$801$	21.8637	+	40.5027i	0.772517	+	1.43109i
$802$	18.7312	−	19.4642i	0.661420	−	0.687306i
$803$		−	47.1090i		−	1.66244i
$804$	−8.85182	−	4.83030i	−0.312180	−	0.170351i
$805$	−0.574236	−	11.4577i	−0.0202392	−	0.403830i
$806$	−1.21455	+	0.350552i	−0.0427808	+	0.0123477i
$807$	−5.62788	+	9.43348i	−0.198111	+	0.332074i
$808$	−42.8811	−	8.88132i	−1.50855	−	0.312444i
$809$	15.8159	−	27.3939i	0.556056	−	0.963117i	−0.441765	−	0.897131i	$-0.645647\pi$
$809$	15.8159	−	27.3939i	0.556056	−	0.963117i	0.997821	−	0.0659862i	$-0.0210193\pi$
$810$	7.35248	+	7.93418i	0.258340	+	0.278779i
$811$		−	12.8429i		−	0.450976i	−0.974246	−	0.225488i	$-0.927602\pi$
$811$		−	12.8429i		−	0.450976i	0.974246	−	0.225488i	$-0.0723977\pi$
$812$	−3.20551	+	0.284293i	−0.112491	+	0.00997674i
$813$	43.9941	−	24.5677i	1.54294	−	0.861626i
$814$	−26.4500	+	27.4852i	−0.927073	+	0.963357i
$815$	2.76401			0.0968192
$816$	−0.732623	−	11.7149i	−0.0256469	−	0.410103i
$817$	−26.9728			−0.943660
$818$	−0.261057	−	0.0646072i	−0.00912763	−	0.00225894i
$819$	−0.0625478	−	2.91368i	−0.00218560	−	0.101812i
$820$	−7.25893	+	13.7673i	−0.253493	+	0.480773i
$821$		−	43.0000i		−	1.50071i	−0.661034	−	0.750356i	$-0.729882\pi$
$821$		−	43.0000i		−	1.50071i	0.661034	−	0.750356i	$-0.270118\pi$
$822$	22.6498	−	6.18774i	0.790004	−	0.215822i
$823$	16.8320			0.586725			0.293362	−	0.956001i	$-0.405226\pi$
$823$	16.8320			0.586725			0.293362	+	0.956001i	$0.405226\pi$
$824$	41.3603	−	13.6775i	1.44085	−	0.476479i
$825$	−16.7137	+	28.0157i	−0.581898	+	0.975380i
$826$	−17.8883	−	15.5672i	−0.622413	−	0.541653i
$827$			54.9483i			1.91074i	0.295413	+	0.955370i	$0.404543\pi$
$827$			54.9483i			1.91074i	−0.295413	+	0.955370i	$0.595457\pi$
$828$	26.3598	−	15.5642i	0.916068	−	0.540892i
$829$	44.4279	+	25.6505i	1.54305	+	0.890878i	0.998644	+	0.0520535i	$0.0165766\pi$
$829$	44.4279	+	25.6505i	1.54305	+	0.890878i	0.544402	+	0.838825i	$0.316757\pi$
$830$	−3.80374	−	13.1788i	−0.132030	−	0.457442i
$831$	14.5677	+	26.0868i	0.505347	+	0.904942i
$832$	−1.75123	−	2.35827i	−0.0607131	−	0.0817584i
$833$	11.8000	−	1.18576i	0.408845	−	0.0410842i
$834$	9.25470	+	33.8763i	0.320464	+	1.17304i
$835$		−	5.92370i		−	0.204998i
$836$	36.3420	−	22.8850i	1.25691	−	0.791493i
$837$	−0.542750	+	12.6382i	−0.0187602	+	0.436841i
$838$	−7.21635	+	2.08283i	−0.249285	+	0.0719502i
$839$	−22.6586	+	39.2459i	−0.782262	+	1.35492i	0.148358	+	0.988934i	$0.452601\pi$
$839$	−22.6586	+	39.2459i	−0.782262	+	1.35492i	−0.930621	+	0.365985i	$0.880732\pi$
$840$	−1.84690	+	10.8597i	−0.0637241	+	0.374695i
$841$	−14.3151	−	24.7944i	−0.493623	−	0.854980i
$842$	24.7998	+	23.8657i	0.854657	+	0.822468i
$843$	16.5120	+	9.85082i	0.568703	+	0.339280i
$844$	−8.67737	+	0.333213i	−0.298687	+	0.0114697i
$845$	9.46893	−	5.46689i	0.325741	−	0.188067i
$846$	6.21504	+	1.72824i	0.213677	+	0.0594180i
$847$	−12.0416	−	18.6355i	−0.413754	−	0.640322i
$848$	−0.791159	−	10.2863i	−0.0271685	−	0.353233i
$849$	−27.1609	−	0.388597i	−0.932159	−	0.0133366i
$850$	−9.94908	−	2.46223i	−0.341251	−	0.0844539i
$851$		−	31.2548i		−	1.07140i
$852$	−4.08059	+	7.47793i	−0.139799	+	0.256190i
$853$	4.32326	+	2.49603i	0.148026	+	0.0854626i	0.572183	−	0.820126i	$-0.306097\pi$
$853$	4.32326	+	2.49603i	0.148026	+	0.0854626i	−0.424158	+	0.905588i	$0.639430\pi$
$854$	6.80335	+	5.92059i	0.232806	+	0.202598i
$855$	−12.4296	−	0.355739i	−0.425084	−	0.0121660i
$856$	−23.4889	−	4.86490i	−0.802833	−	0.166279i
$857$	8.14366	+	14.1052i	0.278182	+	0.481825i	0.970933	−	0.239351i	$-0.0769348\pi$
$857$	8.14366	+	14.1052i	0.278182	+	0.481825i	−0.692751	+	0.721177i	$0.743601\pi$
$858$	−2.81377	−	2.78641i	−0.0960605	−	0.0951266i
$859$	14.3462	+	8.28276i	0.489484	+	0.282604i	0.724361	−	0.689421i	$-0.242135\pi$
$859$	14.3462	+	8.28276i	0.489484	+	0.282604i	−0.234876	+	0.972025i	$0.575468\pi$
$860$	−0.360716	−	9.39358i	−0.0123003	−	0.320318i
$861$	−1.50060	−	41.9335i	−0.0511402	−	1.42909i
$862$	15.9449	−	16.5689i	0.543084	−	0.564339i
$863$	7.53006	+	13.0424i	0.256326	+	0.443970i	0.965255	−	0.261310i	$-0.0841545\pi$
$863$	7.53006	+	13.0424i	0.256326	+	0.443970i	−0.708929	+	0.705280i	$0.750821\pi$
$864$	−27.9491	+	9.10207i	−0.950848	+	0.309659i
$865$	4.95493	−	8.58220i	0.168473	−	0.291803i
$866$	−36.5224	−	9.03868i	−1.24108	−	0.307147i
$867$	−21.3674	+	11.9322i	−0.725676	+	0.405239i
$868$	−10.5435	+	7.40138i	−0.357870	+	0.251219i
$869$	−36.8482	+	21.2743i	−1.24999	+	0.721682i
$870$	1.22129	−	0.333646i	0.0414057	−	0.0113117i
$871$	−0.534421	−	0.925644i	−0.0181082	−	0.0313642i
$872$	15.1055	+	45.6784i	0.511536	+	1.54687i
$873$	0.191586	−	0.310939i	0.00648419	−	0.0105237i
$874$	−8.45377	+	34.1589i	−0.285953	+	1.15544i
$875$	18.5660	+	9.51332i	0.627645	+	0.321609i
$876$	−19.2992	−	31.6428i	−0.652060	−	1.06911i
$877$	−29.5344	−	17.0517i	−0.997305	−	0.575795i	−0.0898555	−	0.995955i	$-0.528641\pi$
$877$	−29.5344	−	17.0517i	−0.997305	−	0.575795i	−0.907450	+	0.420160i	$0.861974\pi$
$878$	−19.4747	−	4.81967i	−0.657240	−	0.162656i
$879$	26.7278	+	47.8624i	0.901507	+	1.61436i
$880$	8.45594	+	12.3504i	0.285050	+	0.416333i
$881$	−11.8070			−0.397789			−0.198895	−	0.980021i	$-0.563735\pi$
$881$	−11.8070			−0.397789			−0.198895	+	0.980021i	$0.563735\pi$
$882$	−10.2541	−	27.8721i	−0.345273	−	0.938502i
$883$			20.3874i			0.686089i	0.939319	+	0.343045i	$0.111458\pi$
$883$			20.3874i			0.686089i	−0.939319	+	0.343045i	$0.888542\pi$
$884$	0.580264	−	1.10053i	0.0195164	−	0.0370147i
$885$	8.01180	+	4.77973i	0.269314	+	0.160669i
$886$	−3.49718	+	14.1310i	−0.117490	+	0.474739i
$887$	−9.13347	+	15.8196i	−0.306672	+	0.531172i	−0.977632	−	0.210322i	$-0.932549\pi$
$887$	−9.13347	+	15.8196i	−0.306672	+	0.531172i	0.670960	+	0.741493i	$0.265882\pi$
$888$	−6.50638	+	29.2975i	−0.218340	+	0.983158i
$889$	19.9775	−	38.9877i	0.670023	−	1.30760i
$890$	4.42995	−	17.9000i	0.148492	−	0.600009i
$891$	−35.3947	+	17.8181i	−1.18577	+	0.596930i
$892$	−38.0596	+	23.9665i	−1.27433	+	0.802459i
$893$	−6.42201	+	3.70775i	−0.214904	+	0.124075i
$894$	17.6182	−	17.7911i	0.589240	−	0.595024i
$895$	9.64650	+	16.7082i	0.322447	+	0.558495i
$896$	−24.6883	−	16.9260i	−0.824778	−	0.565457i
$897$	3.24434	+	0.0464175i	0.108325	+	0.00154983i
$898$	−32.4569	−	8.03253i	−1.08310	−	0.268049i
$899$	1.28220	+	0.740277i	0.0427637	+	0.0246896i
$900$	0.250727	+	25.6651i	0.00835758	+	0.855502i
$901$	3.78421	−	2.18481i	0.126070	−	0.0727867i
$902$	−41.0819	−	39.5346i	−1.36788	−	1.31636i
$903$	13.4489	+	21.4814i	0.447550	+	0.714856i
$904$	10.0518	−	48.5323i	0.334317	−	1.61416i
$905$	−6.29405	+	10.9016i	−0.209221	+	0.362382i
$906$	45.1705	−	12.3402i	1.50069	−	0.409975i
$907$	−44.5767	+	25.7364i	−1.48015	+	0.854563i	−0.999747	−	0.0224870i	$-0.992842\pi$
$907$	−44.5767	+	25.7364i	−1.48015	+	0.854563i	−0.480399	+	0.877050i	$0.659508\pi$
$908$	−42.7482	+	1.64154i	−1.41865	+	0.0544765i
$909$	−40.8727	+	22.0635i	−1.35566	+	0.731801i
$910$	−0.766489	+	0.880773i	−0.0254089	+	0.0291973i
$911$	3.12731	−	5.41666i	0.103612	−	0.179462i	−0.809558	−	0.587040i	$-0.800293\pi$
$911$	3.12731	−	5.41666i	0.103612	−	0.179462i	0.913170	+	0.407578i	$0.133626\pi$
$912$	15.0353	−	30.2599i	0.497869	−	1.00201i
$913$	50.2488			1.66299
$914$	13.4965	+	3.34016i	0.446424	+	0.110483i
$915$	−3.04708	−	1.81784i	−0.100733	−	0.0600961i
$916$	−27.2933	−	43.3426i	−0.901797	−	1.43208i
$917$	15.0792	−	9.74368i	0.497960	−	0.321765i
$918$	−8.59198	−	9.00971i	−0.283577	−	0.297365i
$919$	0.939987	+	1.62810i	0.0310073	+	0.0537062i	0.881113	−	0.472906i	$-0.156795\pi$
$919$	0.939987	+	1.62810i	0.0310073	+	0.0537062i	−0.850105	+	0.526613i	$0.823462\pi$
$920$	−12.0093	−	2.48730i	−0.395934	−	0.0820038i
$921$	−50.0083	−	0.715480i	−1.64783	−	0.0235759i
$922$	−9.00664	−	8.66742i	−0.296618	−	0.285446i
$923$	−0.781975	+	0.451473i	−0.0257390	+	0.0148604i
$924$	−36.3461	−	17.5324i	−1.19570	−	0.576775i
$925$	22.6945	+	13.1027i	0.746191	+	0.430813i
$926$	2.24147	+	7.76597i	0.0736592	+	0.255206i
$927$	24.2382	−	39.3380i	0.796086	−	1.29203i
$928$	−0.567946	+	3.39308i	−0.0186437	+	0.111383i
$929$	−8.60162			−0.282210			−0.141105	−	0.989995i	$-0.545065\pi$
$929$	−8.60162			−0.282210			−0.141105	+	0.989995i	$0.545065\pi$
$930$	3.56605	−	3.60106i	0.116935	−	0.118083i
$931$	31.1243	+	14.0281i	1.02006	+	0.459753i
$932$	−1.88725	−	49.1469i	−0.0618190	−	1.60986i
$933$	0.248613	−	17.3767i	0.00813921	−	0.568888i
$934$	25.6421	−	7.40098i	0.839034	−	0.242167i
$935$	−3.16981	+	5.49028i	−0.103664	+	0.179551i
$936$	−3.03150	−	0.718893i	−0.0990878	−	0.0234978i
$937$	−41.3671			−1.35140			−0.675702	−	0.737175i	$-0.736159\pi$
$937$	−41.3671			−1.35140			−0.675702	+	0.737175i	$0.736159\pi$
$938$	−8.21634	−	7.15024i	−0.268273	−	0.233464i
$939$	0.465533	−	32.5383i	0.0151921	−	1.06185i
$940$	−1.37715	−	2.18695i	−0.0449176	−	0.0713304i
$941$		−	4.44245i		−	0.144820i	−0.997375	−	0.0724099i	$-0.976931\pi$
$941$		−	4.44245i		−	0.144820i	0.997375	−	0.0724099i	$-0.0230690\pi$
$942$	−42.9366	−	11.2803i	−1.39895	−	0.367533i
$943$	46.7162			1.52129
$944$	−20.9177	+	14.3217i	−0.680814	+	0.466132i
$945$	5.91419	+	10.0764i	0.192388	+	0.327786i
$946$	33.4286	+	8.27302i	1.08686	+	0.268979i
$947$			12.5055i			0.406374i	0.979140	+	0.203187i	$0.0651299\pi$
$947$			12.5055i			0.406374i	−0.979140	+	0.203187i	$0.934870\pi$
$948$	−16.0352	+	29.3855i	−0.520798	+	0.954396i
$949$		−	3.92854i		−	0.127526i
$950$	−21.2593	−	20.4586i	−0.689742	−	0.663764i
$951$	36.7997	+	0.526502i	1.19331	+	0.0170730i
$952$	1.94663	−	12.5279i	0.0630908	−	0.406031i
$953$	−32.9844			−1.06847			−0.534235	−	0.845336i	$-0.679400\pi$
$953$	−32.9844			−1.06847			−0.534235	+	0.845336i	$0.679400\pi$
$954$	−7.66426	−	7.81006i	−0.248140	−	0.252860i
$955$	−9.72096	−	5.61240i	−0.314563	−	0.181613i
$956$	1.05403	+	27.4486i	0.0340899	+	0.887752i
$957$	−0.0663492	+	4.63746i	−0.00214477	+	0.149908i
$958$	5.29111	+	18.3320i	0.170948	+	0.592281i
$959$	25.3293	−	1.26946i	0.817927	−	0.0409929i
$960$	10.7394	+	4.83153i	0.346613	+	0.155937i
$961$	−25.0734			−0.808818
$962$	−2.20574	+	2.29206i	−0.0711158	+	0.0738991i
$963$	−22.3887	+	12.0857i	−0.721467	+	0.389455i
$964$	0.113583	+	2.95787i	0.00365826	+	0.0952666i
$965$	−1.67561	−	0.967415i	−0.0539399	−	0.0311422i
$966$	31.4196	−	10.2993i	1.01091	−	0.331373i
$967$	2.42437	+	4.19914i	0.0779626	+	0.135035i	0.902371	−	0.430961i	$-0.141825\pi$
$967$	2.42437	+	4.19914i	0.0779626	+	0.135035i	−0.824408	+	0.565996i	$0.808492\pi$
$968$	−22.5199	+	7.44715i	−0.723817	+	0.239361i
$969$	14.3100	+	0.204737i	0.459705	+	0.00657710i
$970$	−0.140582	+	0.0405758i	−0.00451383	+	0.00130281i
$971$	−20.3750	+	11.7635i	−0.653864	+	0.377509i	−0.789935	−	0.613190i	$-0.789886\pi$
$971$	−20.3750	+	11.7635i	−0.653864	+	0.377509i	0.136071	+	0.990699i	$0.456552\pi$
$972$	−16.4748	+	26.4685i	−0.528429	+	0.848978i
$973$	1.89866	+	37.8839i	0.0608684	+	1.21450i
$974$	−34.3972	+	35.7434i	−1.10216	+	1.14529i
$975$	−1.39380	+	2.33630i	−0.0446374	+	0.0748215i
$976$	7.95551	−	5.44688i	0.254650	−	0.174350i
$977$	21.8102			0.697769			0.348885	−	0.937166i	$-0.386561\pi$
$977$	21.8102			0.697769			0.348885	+	0.937166i	$0.386561\pi$
$978$	2.09941	+	7.68478i	0.0671319	+	0.245732i
$979$	58.5015	+	33.7759i	1.86972	+	1.07948i
$980$	−4.46921	+	11.0270i	−0.142764	+	0.352244i
$981$	43.4450	+	26.7687i	1.38709	+	0.854659i
$982$	58.4775	−	16.8782i	1.86609	−	0.538604i
$983$	−13.3337	−	23.0947i	−0.425280	−	0.736607i	0.571166	−	0.820834i	$-0.306491\pi$
$983$	−13.3337	−	23.0947i	−0.425280	−	0.736607i	−0.996447	+	0.0842273i	$0.973158\pi$
$984$	−43.7906	−	9.72502i	−1.39599	−	0.310022i
$985$	11.4239	−	19.7868i	0.363996	−	0.630460i
$986$	−1.39999	+	0.404073i	−0.0445846	+	0.0128683i
$987$	6.15495	+	3.26583i	0.195914	+	0.103953i
$988$	3.03065	−	1.90844i	0.0964178	−	0.0607154i
$989$	−24.4363	+	14.1083i	−0.777029	+	0.448618i
$990$	15.2954	+	4.25325i	0.486121	+	0.135177i
$991$	−19.6752	+	34.0784i	−0.625002	+	1.08253i	0.363539	+	0.931579i	$0.381568\pi$
$991$	−19.6752	+	34.0784i	−0.625002	+	1.08253i	−0.988541	+	0.150956i	$0.951765\pi$
$992$	4.82235	+	12.8995i	0.153110	+	0.409560i
$993$	36.6424	+	0.524251i	1.16281	+	0.0166366i
$994$	−6.04046	+	6.94109i	−0.191592	+	0.220158i
$995$	−6.65632	+	3.84303i	−0.211019	+	0.121832i
$996$	33.7517	−	20.5855i	1.06946	−	0.652277i
$997$	12.3067	−	7.10530i	0.389758	−	0.225027i	−0.292297	−	0.956328i	$-0.594420\pi$
$997$	12.3067	−	7.10530i	0.389758	−	0.225027i	0.682055	+	0.731301i	$0.261086\pi$
$998$	−13.4231	−	12.9175i	−0.424900	−	0.408897i
$999$	14.7184	+	28.2246i	0.465670	+	0.892986i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cq.a.277.9	yes	184
7.2	even	3		504.2.w.a.205.53	✓	184
8.5	even	2	inner	504.2.cq.a.277.10	yes	184
9.4	even	3		504.2.w.a.445.71	yes	184
56.37	even	6		504.2.w.a.205.71	yes	184
63.58	even	3	inner	504.2.cq.a.373.9	yes	184
72.13	even	6		504.2.w.a.445.53	yes	184
504.373	even	6	inner	504.2.cq.a.373.10	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.53	✓	184	7.2	even	3
504.2.w.a.205.71	yes	184	56.37	even	6
504.2.w.a.445.53	yes	184	72.13	even	6
504.2.w.a.445.71	yes	184	9.4	even	3
504.2.cq.a.277.9	yes	184	1.1	even	1	trivial
504.2.cq.a.277.10	yes	184	8.5	even	2	inner
504.2.cq.a.373.9	yes	184	63.58	even	3	inner
504.2.cq.a.373.10	yes	184	504.373	even	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.cq (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.37280 - 0.339745i) q^{2} +(-0.0247783 + 1.73187i) q^{3} +(1.76915 + 0.932801i) q^{4} +(-0.736012 - 0.424937i) q^{5} +(0.622410 - 2.36909i) q^{6} +(1.20653 - 2.35463i) q^{7} +(-2.11177 - 1.88161i) q^{8} +(-2.99877 - 0.0858258i) q^{9} +O(q^{10})\)	\(q+(-1.37280 - 0.339745i) q^{2} +(-0.0247783 + 1.73187i) q^{3} +(1.76915 + 0.932801i) q^{4} +(-0.736012 - 0.424937i) q^{5} +(0.622410 - 2.36909i) q^{6} +(1.20653 - 2.35463i) q^{7} +(-2.11177 - 1.88161i) q^{8} +(-2.99877 - 0.0858258i) q^{9} +(0.866026 + 0.833408i) q^{10} +(-3.81307 + 2.20148i) q^{11} +(-1.65933 + 3.04083i) q^{12} +(-0.317982 + 0.183587i) q^{13} +(-2.45629 + 2.82252i) q^{14} +(0.754174 - 1.26415i) q^{15} +(2.25976 + 3.30053i) q^{16} +(-0.847100 + 1.46722i) q^{17} +(4.08755 + 1.13664i) q^{18} +(-4.22368 + 2.43854i) q^{19} +(-0.905732 - 1.43833i) q^{20} +(4.04803 + 2.14790i) q^{21} +(5.98252 - 1.72671i) q^{22} +(-2.55099 + 4.41844i) q^{23} +(3.31103 - 3.61069i) q^{24} +(-2.13886 - 3.70461i) q^{25} +(0.498898 - 0.143995i) q^{26} +(0.222944 - 5.19137i) q^{27} +(4.33093 - 3.04024i) q^{28} +(-0.526684 - 0.304081i) q^{29} +(-1.46482 + 1.47920i) q^{30} -2.43447 q^{31} +(-1.98086 - 5.29870i) q^{32} +(-3.71820 - 6.65831i) q^{33} +(1.66138 - 1.72640i) q^{34} +(-1.88859 + 1.22034i) q^{35} +(-5.22521 - 2.94910i) q^{36} +(-5.30529 + 3.06301i) q^{37} +(6.62673 - 1.91265i) q^{38} +(-0.310071 - 0.555254i) q^{39} +(0.754722 + 2.28225i) q^{40} +(-4.57825 - 7.92976i) q^{41} +(-4.82739 - 4.32392i) q^{42} +(4.78958 + 2.76527i) q^{43} +(-8.79943 + 0.337900i) q^{44} +(2.17066 + 1.33746i) q^{45} +(5.00313 - 5.19894i) q^{46} +1.52048 q^{47} +(-5.77209 + 3.83184i) q^{48} +(-4.08859 - 5.68185i) q^{49} +(1.67760 + 5.81235i) q^{50} +(-2.52005 - 1.50343i) q^{51} +(-0.733807 + 0.0281784i) q^{52} +(-2.23363 - 1.28958i) q^{53} +(-2.06980 + 7.05095i) q^{54} +3.74196 q^{55} +(-6.97839 + 2.70223i) q^{56} +(-4.11859 - 7.37529i) q^{57} +(0.619721 + 0.596380i) q^{58} +6.33770i q^{59} +(2.51345 - 1.53297i) q^{60} -2.41038i q^{61} +(3.34204 + 0.827098i) q^{62} +(-3.82019 + 6.95745i) q^{63} +(0.919119 + 7.94703i) q^{64} +0.312052 q^{65} +(2.84221 + 10.4038i) q^{66} +2.91099i q^{67} +(-2.86727 + 1.80555i) q^{68} +(-7.58896 - 4.52747i) q^{69} +(3.00725 - 1.03364i) q^{70} +2.45918 q^{71} +(6.17122 + 5.82375i) q^{72} +(-5.34970 + 9.26595i) q^{73} +(8.32372 - 2.40245i) q^{74} +(6.46891 - 3.61244i) q^{75} +(-9.74698 + 0.374286i) q^{76} +(0.583100 + 11.6345i) q^{77} +(0.237020 + 0.867596i) q^{78} +9.66365 q^{79} +(-0.260698 - 3.38948i) q^{80} +(8.98527 + 0.514744i) q^{81} +(3.59091 + 12.4414i) q^{82} +(-9.88352 - 5.70625i) q^{83} +(5.15800 + 7.57595i) q^{84} +(1.24695 - 0.719928i) q^{85} +(-5.63564 - 5.42338i) q^{86} +(0.539681 - 0.904616i) q^{87} +(12.1946 + 2.52569i) q^{88} +(-7.67117 - 13.2869i) q^{89} +(-2.52549 - 2.57353i) q^{90} +(0.0486262 + 0.970234i) q^{91} +(-8.63459 + 5.43730i) q^{92} +(0.0603220 - 4.21620i) q^{93} +(-2.08731 - 0.516575i) q^{94} +4.14490 q^{95} +(9.22575 - 3.29931i) q^{96} +(-0.0608705 + 0.105431i) q^{97} +(3.68242 + 9.18911i) q^{98} +(11.6235 - 6.27448i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

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