LMFDB - Embedded newform 170.2.o.a.3.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(3,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 1]))

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

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

chi := DirichletCharacter("170.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.o (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$4$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			3.3
Character	$\chi$	$=$	170.3
Dual form			170.2.o.a.57.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.382683 + 0.923880i) q^{2} +(-0.189672 - 0.283864i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(1.79797 - 1.32941i) q^{5} +(0.334840 - 0.0666039i) q^{6} +(-0.701012 - 3.52423i) q^{7} +(0.923880 - 0.382683i) q^{8} +(1.10345 - 2.66396i) q^{9} +O(q^{10})$	\(q+(-0.382683 + 0.923880i) q^{2} +(-0.189672 - 0.283864i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(1.79797 - 1.32941i) q^{5} +(0.334840 - 0.0666039i) q^{6} +(-0.701012 - 3.52423i) q^{7} +(0.923880 - 0.382683i) q^{8} +(1.10345 - 2.66396i) q^{9} +(0.540159 + 2.16985i) q^{10} +(0.940564 + 4.72854i) q^{11} +(-0.0666039 + 0.334840i) q^{12} +1.94218i q^{13} +(3.52423 + 0.701012i) q^{14} +(-0.718394 - 0.258227i) q^{15} +1.00000i q^{16} +(1.93263 - 3.64211i) q^{17} +(2.03890 + 2.03890i) q^{18} +(0.750101 + 1.81090i) q^{19} +(-2.21139 - 0.331322i) q^{20} +(-0.867439 + 0.867439i) q^{21} +(-4.72854 - 0.940564i) q^{22} +(-1.30315 - 0.870739i) q^{23} +(-0.283864 - 0.189672i) q^{24} +(1.46536 - 4.78045i) q^{25} +(-1.79434 - 0.743239i) q^{26} +(-1.97002 + 0.391860i) q^{27} +(-1.99631 + 2.98770i) q^{28} +(1.38219 + 2.06859i) q^{29} +(0.513488 - 0.564890i) q^{30} +(-1.47888 + 7.43482i) q^{31} +(-0.923880 - 0.382683i) q^{32} +(1.16386 - 1.16386i) q^{33} +(2.62528 + 3.17929i) q^{34} +(-5.94552 - 5.40451i) q^{35} +(-2.66396 + 1.10345i) q^{36} +(-9.32090 + 6.22802i) q^{37} -1.96011 q^{38} +(0.551314 - 0.368376i) q^{39} +(1.15236 - 1.91626i) q^{40} +(2.81015 - 4.20569i) q^{41} +(-0.469455 - 1.13336i) q^{42} +(-1.90873 - 4.60809i) q^{43} +(2.67850 - 4.00866i) q^{44} +(-1.55752 - 6.25663i) q^{45} +(1.30315 - 0.870739i) q^{46} -5.22662 q^{47} +(0.283864 - 0.189672i) q^{48} +(-5.46160 + 2.26227i) q^{49} +(3.85579 + 3.18322i) q^{50} +(-1.40043 + 0.142200i) q^{51} +(1.37333 - 1.37333i) q^{52} +(6.51739 + 2.69959i) q^{53} +(0.391860 - 1.97002i) q^{54} +(7.97725 + 7.25135i) q^{55} +(-1.99631 - 2.98770i) q^{56} +(0.371777 - 0.556404i) q^{57} +(-2.44007 + 0.485359i) q^{58} +(0.333812 + 0.138269i) q^{59} +(0.325387 + 0.690575i) q^{60} +(4.07844 + 2.72513i) q^{61} +(-6.30293 - 4.21149i) q^{62} +(-10.1619 - 2.02133i) q^{63} +(0.707107 - 0.707107i) q^{64} +(2.58194 + 3.49197i) q^{65} +(0.629878 + 1.52066i) q^{66} +(8.03403 + 8.03403i) q^{67} +(-3.94193 + 1.20878i) q^{68} +0.535073i q^{69} +(7.26837 - 3.42473i) q^{70} +(7.79122 + 1.54977i) q^{71} -2.88345i q^{72} +(-3.19568 + 16.0658i) q^{73} +(-2.18699 - 10.9947i) q^{74} +(-1.63494 + 0.490754i) q^{75} +(0.750101 - 1.81090i) q^{76} +(16.0051 - 6.62953i) q^{77} +(0.129356 + 0.650319i) q^{78} +(-16.8162 + 3.34495i) q^{79} +(1.32941 + 1.79797i) q^{80} +(-5.63182 - 5.63182i) q^{81} +(2.81015 + 4.20569i) q^{82} +(1.13744 - 2.74602i) q^{83} +1.22674 q^{84} +(-1.36703 - 9.11763i) q^{85} +4.98776 q^{86} +(0.325036 - 0.784706i) q^{87} +(2.67850 + 4.00866i) q^{88} +(9.67438 + 9.67438i) q^{89} +(6.37641 + 0.955348i) q^{90} +(6.84467 - 1.36149i) q^{91} +(0.305763 + 1.53717i) q^{92} +(2.39098 - 0.990375i) q^{93} +(2.00014 - 4.82876i) q^{94} +(3.75608 + 2.25875i) q^{95} +(0.0666039 + 0.334840i) q^{96} +(1.24592 - 6.26366i) q^{97} -5.91160i q^{98} +(13.6345 + 2.71207i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q+O(q^{10}) $ 32 * q	$ 32 q + 8 q^{10} - 40 q^{15} + 16 q^{18} + 8 q^{20} - 8 q^{25} + 8 q^{26} - 72 q^{27} + 8 q^{28} + 8 q^{29} - 16 q^{31} - 64 q^{33} - 24 q^{34} + 32 q^{35} + 16 q^{37} + 32 q^{39} - 8 q^{40} + 16 q^{41} - 40 q^{42} + 48 q^{43} + 16 q^{44} + 24 q^{45} - 64 q^{47} + 16 q^{49} + 32 q^{50} + 32 q^{51} - 16 q^{52} - 24 q^{54} + 8 q^{55} + 8 q^{56} - 8 q^{57} - 16 q^{58} + 64 q^{59} - 48 q^{60} - 24 q^{61} - 24 q^{62} - 24 q^{63} - 16 q^{65} - 16 q^{67} - 16 q^{68} + 24 q^{70} + 8 q^{71} + 16 q^{73} - 8 q^{74} - 8 q^{75} + 40 q^{77} + 48 q^{78} - 72 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} - 8 q^{85} - 64 q^{86} + 24 q^{87} + 16 q^{88} - 16 q^{89} + 48 q^{90} + 48 q^{91} + 8 q^{92} + 8 q^{93} - 8 q^{94} + 40 q^{95} + 16 q^{97} + 64 q^{99}+O(q^{100}) $ 32 * q + 8 * q^10 - 40 * q^15 + 16 * q^18 + 8 * q^20 - 8 * q^25 + 8 * q^26 - 72 * q^27 + 8 * q^28 + 8 * q^29 - 16 * q^31 - 64 * q^33 - 24 * q^34 + 32 * q^35 + 16 * q^37 + 32 * q^39 - 8 * q^40 + 16 * q^41 - 40 * q^42 + 48 * q^43 + 16 * q^44 + 24 * q^45 - 64 * q^47 + 16 * q^49 + 32 * q^50 + 32 * q^51 - 16 * q^52 - 24 * q^54 + 8 * q^55 + 8 * q^56 - 8 * q^57 - 16 * q^58 + 64 * q^59 - 48 * q^60 - 24 * q^61 - 24 * q^62 - 24 * q^63 - 16 * q^65 - 16 * q^67 - 16 * q^68 + 24 * q^70 + 8 * q^71 + 16 * q^73 - 8 * q^74 - 8 * q^75 + 40 * q^77 + 48 * q^78 - 72 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 - 8 * q^85 - 64 * q^86 + 24 * q^87 + 16 * q^88 - 16 * q^89 + 48 * q^90 + 48 * q^91 + 8 * q^92 + 8 * q^93 - 8 * q^94 + 40 * q^95 + 16 * q^97 + 64 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.382683	+	0.923880i	−0.270598	+	0.653281i
$2$	−0.382683	+	0.923880i	−0.270598	+	0.653281i
$3$	−0.189672	−	0.283864i	−0.109507	−	0.163889i	0.772668	−	0.634810i	$-0.218922\pi$
$3$	−0.189672	−	0.283864i	−0.109507	−	0.163889i	−0.882175	+	0.470921i	$0.843922\pi$
$4$	−0.707107	−	0.707107i	−0.353553	−	0.353553i
$5$	1.79797	−	1.32941i	0.804075	−	0.594528i
$5$	1.79797	−	1.32941i	0.804075	−	0.594528i
$6$	0.334840	−	0.0666039i	0.136698	−	0.0271909i
$7$	−0.701012	−	3.52423i	−0.264958	−	1.33203i	−0.852453	−	0.522805i	$-0.824886\pi$
$7$	−0.701012	−	3.52423i	−0.264958	−	1.33203i	0.587495	−	0.809228i	$-0.300114\pi$
$8$	0.923880	−	0.382683i	0.326641	−	0.135299i
$9$	1.10345	−	2.66396i	0.367816	−	0.887986i
$10$	0.540159	+	2.16985i	0.170813	+	0.686165i
$11$	0.940564	+	4.72854i	0.283591	+	1.42571i	0.815427	+	0.578860i	$0.196502\pi$
$11$	0.940564	+	4.72854i	0.283591	+	1.42571i	−0.531836	+	0.846847i	$0.678498\pi$
$12$	−0.0666039	+	0.334840i	−0.0192269	+	0.0966601i
$13$			1.94218i			0.538663i	0.963048	+	0.269331i	$0.0868027\pi$
$13$			1.94218i			0.538663i	−0.963048	+	0.269331i	$0.913197\pi$
$14$	3.52423	+	0.701012i	0.941889	+	0.187353i
$15$	−0.718394	−	0.258227i	−0.185489	−	0.0666739i
$16$			1.00000i			0.250000i
$17$	1.93263	−	3.64211i	0.468732	−	0.883340i
$17$	1.93263	−	3.64211i	0.468732	−	0.883340i
$18$	2.03890	+	2.03890i	0.480574	+	0.480574i
$19$	0.750101	+	1.81090i	0.172085	+	0.415450i	0.986267	−	0.165160i	$-0.0528141\pi$
$19$	0.750101	+	1.81090i	0.172085	+	0.415450i	−0.814182	+	0.580610i	$0.802814\pi$
$20$	−2.21139	−	0.331322i	−0.494481	−	0.0740857i
$21$	−0.867439	+	0.867439i	−0.189291	+	0.189291i
$22$	−4.72854	−	0.940564i	−1.00813	−	0.200529i
$23$	−1.30315	−	0.870739i	−0.271726	−	0.181562i	0.412240	−	0.911075i	$-0.364746\pi$
$23$	−1.30315	−	0.870739i	−0.271726	−	0.181562i	−0.683966	+	0.729514i	$0.739746\pi$
$24$	−0.283864	−	0.189672i	−0.0579435	−	0.0387166i
$25$	1.46536	−	4.78045i	0.293072	−	0.956090i
$26$	−1.79434	−	0.743239i	−0.351898	−	0.145761i
$27$	−1.97002	+	0.391860i	−0.379130	+	0.0754136i
$28$	−1.99631	+	2.98770i	−0.377268	+	0.564621i
$29$	1.38219	+	2.06859i	0.256666	+	0.384127i	0.937316	−	0.348481i	$-0.113303\pi$
$29$	1.38219	+	2.06859i	0.256666	+	0.384127i	−0.680650	+	0.732609i	$0.738303\pi$
$30$	0.513488	−	0.564890i	0.0937496	−	0.103134i
$31$	−1.47888	+	7.43482i	−0.265614	+	1.33533i	0.585637	+	0.810574i	$0.300845\pi$
$31$	−1.47888	+	7.43482i	−0.265614	+	1.33533i	−0.851251	+	0.524759i	$0.824155\pi$
$32$	−0.923880	−	0.382683i	−0.163320	−	0.0676495i
$33$	1.16386	−	1.16386i	0.202602	−	0.202602i
$34$	2.62528	+	3.17929i	0.450232	+	0.545244i
$35$	−5.94552	−	5.40451i	−1.00498	−	0.913529i
$36$	−2.66396	+	1.10345i	−0.443993	+	0.183908i
$37$	−9.32090	+	6.22802i	−1.53235	+	1.02388i	−0.550360	+	0.834928i	$0.685509\pi$
$37$	−9.32090	+	6.22802i	−1.53235	+	1.02388i	−0.981986	+	0.188953i	$0.939491\pi$
$38$	−1.96011			−0.317972
$39$	0.551314	−	0.368376i	0.0882809	−	0.0589874i
$40$	1.15236	−	1.91626i	0.182204	−	0.302988i
$41$	2.81015	−	4.20569i	0.438872	−	0.656819i	−0.544428	−	0.838807i	$-0.683253\pi$
$41$	2.81015	−	4.20569i	0.438872	−	0.656819i	0.983301	+	0.181989i	$0.0582534\pi$
$42$	−0.469455	−	1.13336i	−0.0724384	−	0.174882i
$43$	−1.90873	−	4.60809i	−0.291079	−	0.702728i	0.708917	−	0.705292i	$-0.249184\pi$
$43$	−1.90873	−	4.60809i	−0.291079	−	0.702728i	−0.999997	+	0.00256390i	$0.999184\pi$
$44$	2.67850	−	4.00866i	0.403799	−	0.604328i
$45$	−1.55752	−	6.25663i	−0.232181	−	0.932683i
$46$	1.30315	−	0.870739i	0.192139	−	0.128383i
$47$	−5.22662			−0.762380			−0.381190	−	0.924497i	$-0.624486\pi$
$47$	−5.22662			−0.762380			−0.381190	+	0.924497i	$0.624486\pi$
$48$	0.283864	−	0.189672i	0.0409722	−	0.0273768i
$49$	−5.46160	+	2.26227i	−0.780229	+	0.323181i
$50$	3.85579	+	3.18322i	0.545291	+	0.450175i
$51$	−1.40043	+	0.142200i	−0.196099	+	0.0199120i
$52$	1.37333	−	1.37333i	0.190446	−	0.190446i
$53$	6.51739	+	2.69959i	0.895232	+	0.370817i	0.782385	−	0.622795i	$-0.214003\pi$
$53$	6.51739	+	2.69959i	0.895232	+	0.370817i	0.112847	+	0.993612i	$0.464003\pi$
$54$	0.391860	−	1.97002i	0.0533254	−	0.268085i
$55$	7.97725	+	7.25135i	1.07565	+	0.977772i
$56$	−1.99631	−	2.98770i	−0.266769	−	0.399248i
$57$	0.371777	−	0.556404i	0.0492431	−	0.0736975i
$58$	−2.44007	+	0.485359i	−0.320396	+	0.0637308i
$59$	0.333812	+	0.138269i	0.0434586	+	0.0180011i	0.404307	−	0.914623i	$-0.367513\pi$
$59$	0.333812	+	0.138269i	0.0434586	+	0.0180011i	−0.360848	+	0.932625i	$0.617513\pi$
$60$	0.325387	+	0.690575i	0.0420073	+	0.0891529i
$61$	4.07844	+	2.72513i	0.522191	+	0.348917i	0.788564	−	0.614953i	$-0.210825\pi$
$61$	4.07844	+	2.72513i	0.522191	+	0.348917i	−0.266373	+	0.963870i	$0.585825\pi$
$62$	−6.30293	−	4.21149i	−0.800473	−	0.534859i
$63$	−10.1619	−	2.02133i	−1.28028	−	0.254664i
$64$	0.707107	−	0.707107i	0.0883883	−	0.0883883i
$65$	2.58194	+	3.49197i	0.320250	+	0.433125i
$66$	0.629878	+	1.52066i	0.0775326	+	0.187180i
$67$	8.03403	+	8.03403i	0.981513	+	0.981513i	0.999832	−	0.0183194i	$-0.00583157\pi$
$67$	8.03403	+	8.03403i	0.981513	+	0.981513i	−0.0183194	+	0.999832i	$0.505832\pi$
$68$	−3.94193	+	1.20878i	−0.478030	+	0.146586i
$69$			0.535073i			0.0644152i
$70$	7.26837	−	3.42473i	0.868736	−	0.409334i
$71$	7.79122	+	1.54977i	0.924648	+	0.183924i	0.634380	−	0.773022i	$-0.281256\pi$
$71$	7.79122	+	1.54977i	0.924648	+	0.183924i	0.290268	+	0.956945i	$0.406256\pi$
$72$		−	2.88345i		−	0.339817i
$73$	−3.19568	+	16.0658i	−0.374026	+	1.88036i	0.0922798	+	0.995733i	$0.470585\pi$
$73$	−3.19568	+	16.0658i	−0.374026	+	1.88036i	−0.466306	+	0.884624i	$0.654415\pi$
$74$	−2.18699	−	10.9947i	−0.254233	−	1.27811i
$75$	−1.63494	+	0.490754i	−0.188786	+	0.0566674i
$76$	0.750101	−	1.81090i	0.0860425	−	0.207725i
$77$	16.0051	−	6.62953i	1.82395	−	0.755505i
$78$	0.129356	+	0.650319i	0.0146467	+	0.0736341i
$79$	−16.8162	+	3.34495i	−1.89197	+	0.376336i	−0.997492	−	0.0707807i	$-0.977451\pi$
$79$	−16.8162	+	3.34495i	−1.89197	+	0.376336i	−0.894476	+	0.447116i	$0.852451\pi$
$80$	1.32941	+	1.79797i	0.148632	+	0.201019i
$81$	−5.63182	−	5.63182i	−0.625758	−	0.625758i
$82$	2.81015	+	4.20569i	0.310329	+	0.464441i
$83$	1.13744	−	2.74602i	0.124850	−	0.301415i	−0.849080	−	0.528265i	$-0.822843\pi$
$83$	1.13744	−	2.74602i	0.124850	−	0.301415i	0.973930	+	0.226850i	$0.0728427\pi$
$84$	1.22674			0.133849
$85$	−1.36703	−	9.11763i	−0.148275	−	0.988946i
$86$	4.98776			0.537844
$87$	0.325036	−	0.784706i	0.0348475	−	0.0841293i
$88$	2.67850	+	4.00866i	0.285529	+	0.427325i
$89$	9.67438	+	9.67438i	1.02548	+	1.02548i	0.999667	+	0.0258152i	$0.00821815\pi$
$89$	9.67438	+	9.67438i	1.02548	+	1.02548i	0.0258152	+	0.999667i	$0.491782\pi$
$90$	6.37641	+	0.955348i	0.672133	+	0.100702i
$91$	6.84467	−	1.36149i	0.717516	−	0.142723i
$92$	0.305763	+	1.53717i	0.0318780	+	0.160261i
$93$	2.39098	−	0.990375i	0.247933	−	0.102697i
$94$	2.00014	−	4.82876i	0.206299	−	0.498049i
$95$	3.75608	+	2.25875i	0.385366	+	0.231743i
$96$	0.0666039	+	0.334840i	0.00679773	+	0.0341745i
$97$	1.24592	−	6.26366i	0.126504	−	0.635978i	−0.864553	−	0.502541i	$-0.832399\pi$
$97$	1.24592	−	6.26366i	0.126504	−	0.635978i	0.991057	−	0.133437i	$-0.0426015\pi$
$98$		−	5.91160i		−	0.597161i
$99$	13.6345	+	2.71207i	1.37032	+	0.272573i
$100$	−4.41646	+	2.34412i	−0.441646	+	0.234412i
$101$		−	3.00567i		−	0.299075i	−0.988756	−	0.149537i	$-0.952222\pi$
$101$		−	3.00567i		−	0.299075i	0.988756	−	0.149537i	$-0.0477784\pi$
$102$	0.404545	−	1.34824i	0.0400559	−	0.133496i
$103$	4.47783	+	4.47783i	0.441213	+	0.441213i	0.892420	−	0.451206i	$-0.149006\pi$
$103$	4.47783	+	4.47783i	0.441213	+	0.441213i	−0.451206	+	0.892420i	$0.649006\pi$
$104$	0.743239	+	1.79434i	0.0728805	+	0.175949i
$105$	−0.406447	+	2.71280i	−0.0396651	+	0.264743i
$106$	−4.98819	+	4.98819i	−0.484496	+	0.484496i
$107$	−7.22418	−	1.43698i	−0.698388	−	0.138918i	−0.166887	−	0.985976i	$-0.553372\pi$
$107$	−7.22418	−	1.43698i	−0.698388	−	0.138918i	−0.531500	+	0.847058i	$0.678372\pi$
$108$	1.67010	+	1.11592i	0.160705	+	0.107380i
$109$	−7.53682	−	5.03594i	−0.721896	−	0.482356i	0.139543	−	0.990216i	$-0.455437\pi$
$109$	−7.53682	−	5.03594i	−0.721896	−	0.482356i	−0.861439	+	0.507860i	$0.830437\pi$
$110$	−9.75214	+	4.59504i	−0.929830	+	0.438120i
$111$	3.53582	+	1.46459i	0.335605	+	0.139012i
$112$	3.52423	−	0.701012i	0.333008	−	0.0662394i
$113$	7.89926	−	11.8221i	0.743099	−	1.11213i	−0.246621	−	0.969112i	$-0.579320\pi$
$113$	7.89926	−	11.8221i	0.743099	−	1.11213i	0.989721	−	0.143015i	$-0.0456797\pi$
$114$	0.371777	+	0.556404i	0.0348201	+	0.0521120i
$115$	−3.50059	+	0.166861i	−0.326432	+	0.0155598i
$116$	0.485359	−	2.44007i	0.0450645	−	0.226554i
$117$	5.17387	+	2.14309i	0.478325	+	0.198129i
$118$	−0.255488	+	0.255488i	−0.0235196	+	0.0235196i
$119$	−14.1904	−	4.25787i	−1.30083	−	0.390319i
$120$	−0.762529	+	0.0363471i	−0.0696090	+	0.00331802i
$121$	−11.3117	+	4.68547i	−1.02834	+	0.425952i
$122$	−4.07844	+	2.72513i	−0.369245	+	0.246721i
$123$	−1.72685			−0.155705
$124$	6.30293	−	4.21149i	0.566020	−	0.378203i
$125$	−3.72050	−	10.5431i	−0.332771	−	0.943008i
$126$	5.75626	−	8.61486i	0.512809	−	0.767473i
$127$	2.16964	+	5.23797i	0.192524	+	0.464795i	0.990435	−	0.137981i	$-0.0440614\pi$
$127$	2.16964	+	5.23797i	0.192524	+	0.464795i	−0.797911	+	0.602776i	$0.794061\pi$
$128$	0.382683	+	0.923880i	0.0338248	+	0.0816602i
$129$	−0.946038	+	1.41585i	−0.0832940	+	0.124658i
$130$	−4.21422	+	1.04908i	−0.369612	+	0.0920108i
$131$	−7.23020	+	4.83107i	−0.631706	+	0.422092i	−0.829777	−	0.558095i	$-0.811532\pi$
$131$	−7.23020	+	4.83107i	−0.631706	+	0.422092i	0.198071	+	0.980188i	$0.436532\pi$
$132$	−1.64595			−0.143262
$133$	5.85621	−	3.91299i	0.507797	−	0.339299i
$134$	−10.4970	+	4.34798i	−0.906800	+	0.375609i
$135$	−3.02108	+	3.32350i	−0.260013	+	0.286041i
$136$	0.391746	−	4.10445i	0.0335919	−	0.351954i
$137$	−3.97096	+	3.97096i	−0.339262	+	0.339262i	−0.856090	−	0.516827i	$-0.827113\pi$
$137$	−3.97096	+	3.97096i	−0.339262	+	0.339262i	0.516827	+	0.856090i	$0.327113\pi$
$138$	−0.494343	−	0.204763i	−0.0420812	−	0.0174306i
$139$	1.95952	−	9.85119i	0.166205	−	0.835567i	−0.804252	−	0.594289i	$-0.797434\pi$
$139$	1.95952	−	9.85119i	0.166205	−	0.835567i	0.970456	−	0.241278i	$-0.0775664\pi$
$140$	0.382556	+	8.02569i	0.0323319	+	0.678294i
$141$	0.991342	+	1.48365i	0.0834861	+	0.124946i
$142$	−4.41337	+	6.60508i	−0.370362	+	0.554286i
$143$	−9.18365	+	1.82674i	−0.767975	+	0.152760i
$144$	2.66396	+	1.10345i	0.221996	+	0.0919539i
$145$	5.23512	+	1.88176i	0.434753	+	0.156272i
$146$	−13.6199	−	9.10053i	−1.12719	−	0.753165i
$147$	1.67809	+	1.12126i	0.138406	+	0.0924802i
$148$	10.9947	+	2.18699i	0.903763	+	0.179770i
$149$	−9.70578	+	9.70578i	−0.795128	+	0.795128i	−0.982323	−	0.187194i	$-0.940061\pi$
$149$	−9.70578	+	9.70578i	−0.795128	+	0.795128i	0.187194	+	0.982323i	$0.440061\pi$
$150$	0.172265	−	1.69829i	0.0140654	−	0.138665i
$151$	−9.32964	−	22.5237i	−0.759235	−	1.83296i	−0.496327	−	0.868136i	$-0.665318\pi$
$151$	−9.32964	−	22.5237i	−0.759235	−	1.83296i	−0.262909	−	0.964821i	$-0.584682\pi$
$152$	1.38601	+	1.38601i	0.112420	+	0.112420i
$153$	−7.56985	−	9.16732i	−0.611986	−	0.741134i
$154$			17.3238i			1.39599i
$155$	7.22492	+	15.3336i	0.580320	+	1.23162i
$156$	−0.650319	−	0.129356i	−0.0520672	−	0.0103568i
$157$		−	5.06165i		−	0.403964i	−0.979389	−	0.201982i	$-0.935262\pi$
$157$		−	5.06165i		−	0.403964i	0.979389	−	0.201982i	$-0.0647382\pi$
$158$	3.34495	−	16.8162i	0.266110	−	1.33782i
$159$	−0.469848	−	2.36209i	−0.0372614	−	0.187326i
$160$	−2.16985	+	0.540159i	−0.171541	+	0.0427034i
$161$	−2.15515	+	5.20300i	−0.169850	+	0.410054i
$162$	7.35833	−	3.04792i	0.578125	−	0.239467i
$163$	−1.45297	−	7.30456i	−0.113805	−	0.572137i	−0.995041	−	0.0994613i	$-0.968288\pi$
$163$	−1.45297	−	7.30456i	−0.113805	−	0.572137i	0.881236	−	0.472676i	$-0.156712\pi$
$164$	−4.96095	+	0.986794i	−0.387385	+	0.0770557i
$165$	0.545339	−	3.63983i	0.0424546	−	0.283360i
$166$	2.10171	+	2.10171i	0.163125	+	0.163125i
$167$	4.26408	+	6.38164i	0.329964	+	0.493826i	0.958944	−	0.283595i	$-0.0915272\pi$
$167$	4.26408	+	6.38164i	0.329964	+	0.493826i	−0.628980	+	0.777422i	$0.716527\pi$
$168$	−0.469455	+	1.13336i	−0.0362192	+	0.0874409i
$169$	9.22795			0.709842
$170$	8.94673	+	2.22619i	0.686183	+	0.170741i
$171$	5.65187			0.432209
$172$	−1.90873	+	4.60809i	−0.145540	+	0.351364i
$173$	2.63552	+	3.94433i	0.200375	+	0.299882i	0.918026	−	0.396521i	$-0.129783\pi$
$173$	2.63552	+	3.94433i	0.200375	+	0.299882i	−0.717651	+	0.696403i	$0.754783\pi$
$174$	0.600588	+	0.600588i	0.0455304	+	0.0455304i
$175$	−17.8746	−	1.81310i	−1.35120	−	0.137058i
$176$	−4.72854	+	0.940564i	−0.356427	+	0.0708977i
$177$	−0.0240650	−	0.120983i	−0.00180884	−	0.00909363i
$178$	−12.6402	+	5.23574i	−0.947422	+	0.392435i
$179$	2.12374	−	5.12717i	0.158736	−	0.383222i	−0.824423	−	0.565974i	$-0.808500\pi$
$179$	2.12374	−	5.12717i	0.158736	−	0.383222i	0.983159	+	0.182751i	$0.0585003\pi$
$180$	−3.32277	+	5.52544i	−0.247665	+	0.411842i
$181$	0.457102	+	2.29801i	0.0339761	+	0.170809i	0.994048	−	0.108945i	$-0.0347471\pi$
$181$	0.457102	+	2.29801i	0.0339761	+	0.170809i	−0.960072	+	0.279754i	$0.909747\pi$
$182$	−1.36149	+	6.84467i	−0.100920	+	0.507361i
$183$		−	1.67460i		−	0.123790i
$184$	−1.53717	−	0.305763i	−0.113322	−	0.0225411i
$185$	−8.47908	+	23.5890i	−0.623394	+	1.73430i
$186$			2.58798i			0.189760i
$187$	19.0396	+	5.71289i	1.39231	+	0.417768i
$188$	3.69578	+	3.69578i	0.269542	+	0.269542i
$189$	2.76201	+	6.66808i	0.200907	+	0.485032i
$190$	−3.52421	+	2.60578i	−0.255673	+	0.189043i
$191$	8.70377	−	8.70377i	0.629783	−	0.629783i	−0.318231	−	0.948013i	$-0.603089\pi$
$191$	8.70377	−	8.70377i	0.629783	−	0.629783i	0.948013	+	0.318231i	$0.103089\pi$
$192$	−0.334840	−	0.0666039i	−0.0241650	−	0.00480672i
$193$	−2.40537	−	1.60722i	−0.173142	−	0.115690i	0.465980	−	0.884795i	$-0.345702\pi$
$193$	−2.40537	−	1.60722i	−0.173142	−	0.115690i	−0.639122	+	0.769106i	$0.720702\pi$
$194$	5.31007	+	3.54808i	0.381241	+	0.254737i
$195$	0.501522	−	1.39525i	0.0359147	−	0.0999157i
$196$	5.46160	+	2.26227i	0.390114	+	0.161591i
$197$	−13.9651	+	2.77782i	−0.994969	+	0.197912i	−0.665615	−	0.746295i	$-0.731831\pi$
$197$	−13.9651	+	2.77782i	−0.994969	+	0.197912i	−0.329354	+	0.944207i	$0.606831\pi$
$198$	−7.72331	+	11.5588i	−0.548872	+	0.821445i
$199$	−7.74473	−	11.5908i	−0.549010	−	0.821651i	0.448381	−	0.893842i	$-0.352001\pi$
$199$	−7.74473	−	11.5908i	−0.549010	−	0.821651i	−0.997391	+	0.0721915i	$0.977001\pi$
$200$	−0.475584	−	4.97733i	−0.0336289	−	0.351950i
$201$	0.756742	−	3.80440i	0.0533765	−	0.268342i
$202$	2.77687	+	1.15022i	0.195380	+	0.0809291i
$203$	6.32124	−	6.32124i	0.443664	−	0.443664i
$204$	1.09080	+	0.889702i	0.0763715	+	0.0622916i
$205$	−0.538513	−	11.2975i	−0.0376114	−	0.789053i
$206$	−5.85056	+	2.42338i	−0.407628	+	0.168845i
$207$	−3.75757	+	2.51073i	−0.261169	+	0.174508i
$208$	−1.94218			−0.134666
$209$	−7.85741	+	5.25015i	−0.543508	+	0.363161i
$210$	−2.35076	−	1.41365i	−0.162218	−	0.0975513i
$211$	5.28582	−	7.91079i	0.363891	−	0.544602i	−0.603671	−	0.797233i	$-0.706296\pi$
$211$	5.28582	−	7.91079i	0.363891	−	0.544602i	0.967563	+	0.252632i	$0.0812961\pi$
$212$	−2.69959	−	6.51739i	−0.185409	−	0.447616i
$213$	−1.03785	−	2.50559i	−0.0711124	−	0.171681i
$214$	4.09217	−	6.12436i	0.279735	−	0.418653i
$215$	−9.55787	−	5.74771i	−0.651841	−	0.391990i
$216$	−1.67010	+	1.11592i	−0.113636	+	0.0759290i
$217$	27.2387			1.84908
$218$	7.53682	−	5.03594i	0.510458	−	0.341077i
$219$	5.16663	−	2.14009i	0.349128	−	0.144614i
$220$	−0.513285	−	10.7682i	−0.0346056	−	0.725995i
$221$	7.07361	+	3.75351i	0.475823	+	0.252489i
$222$	−2.70620	+	2.70620i	−0.181628	+	0.181628i
$223$	1.12336	+	0.465309i	0.0752254	+	0.0311594i	0.419979	−	0.907534i	$-0.362037\pi$
$223$	1.12336	+	0.465309i	0.0752254	+	0.0311594i	−0.344753	+	0.938693i	$0.612037\pi$
$224$	−0.701012	+	3.52423i	−0.0468384	+	0.235472i
$225$	−11.1180	−	9.17863i	−0.741198	−	0.611909i
$226$	7.89926	+	11.8221i	0.525451	+	0.786392i
$227$	9.56087	−	14.3089i	0.634577	−	0.949712i	−0.365246	−	0.930911i	$-0.619015\pi$
$227$	9.56087	−	14.3089i	0.634577	−	0.949712i	0.999823	−	0.0188008i	$-0.00598484\pi$
$228$	−0.656323	+	0.130551i	−0.0434661	+	0.00864594i
$229$	9.76206	+	4.04358i	0.645095	+	0.267207i	0.681151	−	0.732143i	$-0.261480\pi$
$229$	9.76206	+	4.04358i	0.645095	+	0.267207i	−0.0360564	+	0.999350i	$0.511480\pi$
$230$	1.18546	−	3.29798i	0.0781668	−	0.217462i
$231$	−4.91760	−	3.28583i	−0.323554	−	0.216192i
$232$	2.06859	+	1.38219i	0.135809	+	0.0907450i
$233$	12.0660	+	2.40007i	0.790468	+	0.157234i	0.573783	−	0.819008i	$-0.305475\pi$
$233$	12.0660	+	2.40007i	0.790468	+	0.157234i	0.216686	+	0.976241i	$0.430475\pi$
$234$	−3.95991	+	3.95991i	−0.258867	+	0.258867i
$235$	−9.39728	+	6.94830i	−0.613011	+	0.453257i
$236$	−0.138269	−	0.333812i	−0.00900056	−	0.0217293i
$237$	4.13906	+	4.13906i	0.268861	+	0.268861i
$238$	9.36420	−	11.4808i	0.606991	−	0.744190i
$239$		−	24.2390i		−	1.56789i	−0.620830	−	0.783945i	$-0.713204\pi$
$239$		−	24.2390i		−	1.56789i	0.620830	−	0.783945i	$-0.286796\pi$
$240$	0.258227	−	0.718394i	0.0166685	−	0.0463721i
$241$	−25.0133	−	4.97546i	−1.61125	−	0.320498i	−0.694358	−	0.719630i	$-0.744311\pi$
$241$	−25.0133	−	4.97546i	−1.61125	−	0.320498i	−0.916893	+	0.399133i	$0.869311\pi$
$242$		−	12.2437i		−	0.787056i
$243$	−1.70605	+	8.57691i	−0.109443	+	0.550209i
$244$	−0.956938	−	4.81085i	−0.0612616	−	0.307983i
$245$	−6.81230	+	11.3282i	−0.435222	+	0.723730i
$246$	0.660837	−	1.59540i	0.0421334	−	0.101719i
$247$	−3.51709	+	1.45683i	−0.223787	+	0.0926957i
$248$	1.47888	+	7.43482i	0.0939088	+	0.472111i
$249$	−0.995237	+	0.197965i	−0.0630706	+	0.0125455i
$250$	11.1644	+	0.597397i	0.706097	+	0.0377827i
$251$	21.0326	+	21.0326i	1.32757	+	1.32757i	0.907485	+	0.420083i	$0.137999\pi$
$251$	21.0326	+	21.0326i	1.32757	+	1.32757i	0.420083	+	0.907485i	$0.362001\pi$
$252$	5.75626	+	8.61486i	0.362611	+	0.542685i
$253$	2.89162	−	6.98099i	0.181795	−	0.438891i
$254$	−5.66954			−0.355738
$255$	−2.32888	+	2.11741i	−0.145840	+	0.132597i
$256$	−1.00000			−0.0625000
$257$	−2.84001	+	6.85638i	−0.177155	+	0.427689i	−0.987368	−	0.158447i	$-0.949351\pi$
$257$	−2.84001	+	6.85638i	−0.177155	+	0.427689i	0.810213	+	0.586136i	$0.199351\pi$
$258$	−0.946038	−	1.41585i	−0.0588978	−	0.0881468i
$259$	28.4830	+	28.4830i	1.76985	+	1.76985i
$260$	0.643485	−	4.29490i	0.0399072	−	0.266358i
$261$	7.03580	−	1.39951i	0.435505	−	0.0866273i
$262$	−1.69645	−	8.52861i	−0.104807	−	0.526899i
$263$	15.5976	−	6.46073i	0.961787	−	0.398385i	0.154139	−	0.988049i	$-0.450740\pi$
$263$	15.5976	−	6.46073i	0.961787	−	0.398385i	0.807649	+	0.589664i	$0.200740\pi$
$264$	0.629878	−	1.52066i	0.0387663	−	0.0935901i
$265$	15.3069	−	3.81048i	0.940295	−	0.234076i
$266$	1.37406	+	6.90787i	0.0842490	+	0.423548i
$267$	0.911250	−	4.58116i	0.0557676	−	0.280363i
$268$		−	11.3618i		−	0.694034i
$269$	−23.5534	−	4.68505i	−1.43607	−	0.285653i	−0.585143	−	0.810930i	$-0.698962\pi$
$269$	−23.5534	−	4.68505i	−1.43607	−	0.285653i	−0.850931	+	0.525277i	$0.823962\pi$
$270$	−1.91440	−	4.06296i	−0.116507	−	0.247264i
$271$		−	3.09601i		−	0.188069i	−0.995569	−	0.0940346i	$-0.970024\pi$
$271$		−	3.09601i		−	0.188069i	0.995569	−	0.0940346i	$-0.0299764\pi$
$272$	3.64211	+	1.93263i	0.220835	+	0.117183i
$273$	−1.68472	−	1.68472i	−0.101964	−	0.101964i
$274$	−2.14907	−	5.18831i	−0.129830	−	0.313437i
$275$	23.9828	+	2.43268i	1.44622	+	0.146696i
$276$	0.378353	−	0.378353i	0.0227742	−	0.0227742i
$277$	−10.4131	−	2.07129i	−0.625662	−	0.124452i	−0.127931	−	0.991783i	$-0.540834\pi$
$277$	−10.4131	−	2.07129i	−0.625662	−	0.124452i	−0.497732	+	0.867331i	$0.665834\pi$
$278$	8.35143	+	5.58025i	0.500886	+	0.334681i
$279$	18.1742	+	12.1436i	1.08806	+	0.727018i
$280$	−7.56116	−	2.71786i	−0.451866	−	0.162423i
$281$	−16.0958	−	6.66711i	−0.960197	−	0.397727i	−0.153143	−	0.988204i	$-0.548939\pi$
$281$	−16.0958	−	6.66711i	−0.960197	−	0.397727i	−0.807054	+	0.590478i	$0.798939\pi$
$282$	−1.75008	+	0.348113i	−0.104216	+	0.0207298i
$283$	1.91155	−	2.86083i	0.113630	−	0.170059i	−0.770296	−	0.637687i	$-0.779891\pi$
$283$	1.91155	−	2.86083i	0.113630	−	0.170059i	0.883925	+	0.467628i	$0.154891\pi$
$284$	−4.41337	−	6.60508i	−0.261885	−	0.391939i
$285$	−0.0712442	−	1.49464i	−0.00422014	−	0.0885347i
$286$	1.82674	−	9.18365i	0.108018	−	0.543041i
$287$	−16.7918	−	6.95538i	−0.991186	−	0.410563i
$288$	−2.03890	+	2.03890i	−0.120144	+	0.120144i
$289$	−9.52987	−	14.0777i	−0.560580	−	0.828100i
$290$	−3.74191	+	4.11650i	−0.219733	+	0.241729i
$291$	−2.01434	+	0.834368i	−0.118083	+	0.0489115i
$292$	13.6199	−	9.10053i	0.797045	−	0.532568i
$293$	−3.01986			−0.176422			−0.0882111	−	0.996102i	$-0.528115\pi$
$293$	−3.01986			−0.176422			−0.0882111	+	0.996102i	$0.528115\pi$
$294$	−1.67809	+	1.12126i	−0.0978681	+	0.0653934i
$295$	0.783998	−	0.195168i	0.0456461	−	0.0113631i
$296$	−6.22802	+	9.32090i	−0.361997	+	0.541766i
$297$	−3.70585	−	8.94672i	−0.215035	−	0.519141i
$298$	−5.25273	−	12.6812i	−0.304282	−	0.734603i
$299$	1.69113	−	2.53095i	0.0978004	−	0.146369i
$300$	1.50309	+	0.809058i	0.0867809	+	0.0467110i
$301$	−14.9019	+	9.95714i	−0.858932	+	0.573920i
$302$	24.3795			1.40288
$303$	−0.853200	+	0.570090i	−0.0490151	+	0.0327508i
$304$	−1.81090	+	0.750101i	−0.103862	+	0.0430212i
$305$	10.9557	−	0.522220i	0.627321	−	0.0299022i
$306$	11.3664	−	3.48545i	0.649771	−	0.199250i
$307$	−9.44890	+	9.44890i	−0.539277	+	0.539277i	−0.923317	−	0.384039i	$-0.874533\pi$
$307$	−9.44890	+	9.44890i	−0.539277	+	0.539277i	0.384039	+	0.923317i	$0.374533\pi$
$308$	−16.0051	−	6.62953i	−0.911975	−	0.377752i
$309$	0.421776	−	2.12041i	0.0239940	−	0.120626i
$310$	−16.9312	+	0.807052i	−0.961629	+	0.0458375i
$311$	13.5248	+	20.2414i	0.766923	+	1.14778i	0.985118	+	0.171877i	$0.0549830\pi$
$311$	13.5248	+	20.2414i	0.766923	+	1.14778i	−0.218195	+	0.975905i	$0.570017\pi$
$312$	0.368376	−	0.551314i	0.0208552	−	0.0312120i
$313$	−18.5755	+	3.69489i	−1.04995	+	0.208848i	−0.689765	−	0.724034i	$-0.742286\pi$
$313$	−18.5755	+	3.69489i	−1.04995	+	0.208848i	−0.360184	+	0.932881i	$0.617286\pi$
$314$	4.67636	+	1.93701i	0.263902	+	0.109312i
$315$	−20.9579	+	9.87503i	−1.18085	+	0.556395i
$316$	14.2561	+	9.52560i	0.801966	+	0.535857i
$317$	−4.88172	−	3.26186i	−0.274185	−	0.183204i	0.410874	−	0.911692i	$-0.365224\pi$
$317$	−4.88172	−	3.26186i	−0.274185	−	0.183204i	−0.685059	+	0.728488i	$0.740224\pi$
$318$	2.36209	+	0.469848i	0.132459	+	0.0263478i
$319$	−8.48136	+	8.48136i	−0.474865	+	0.474865i
$320$	0.331322	−	2.21139i	0.0185214	−	0.123620i
$321$	0.962317	+	2.32324i	0.0537113	+	0.129670i
$322$	−3.98221	−	3.98221i	−0.221920	−	0.221920i
$323$	8.04517	+	0.767864i	0.447645	+	0.0427251i
$324$			7.96460i			0.442478i
$325$	9.28448	+	2.84599i	0.515010	+	0.157867i
$326$	7.30456	+	1.45297i	0.404562	+	0.0804724i
$327$			3.09461i			0.171132i
$328$	0.986794	−	4.96095i	0.0544866	−	0.273923i
$329$	3.66392	+	18.4198i	0.201999	+	1.01552i
$330$	3.15407	+	1.89673i	0.173626	+	0.104412i
$331$	5.88738	−	14.2134i	0.323599	−	0.781238i	−0.675440	−	0.737415i	$-0.736046\pi$
$331$	5.88738	−	14.2134i	0.323599	−	0.781238i	0.999039	−	0.0438231i	$-0.0139538\pi$
$332$	−2.74602	+	1.13744i	−0.150707	+	0.0624251i
$333$	6.30607	+	31.7028i	0.345571	+	1.73730i
$334$	−7.52766	+	1.49734i	−0.411895	+	0.0819311i
$335$	25.1254	+	3.76442i	1.37275	+	0.205672i
$336$	−0.867439	−	0.867439i	−0.0473227	−	0.0473227i
$337$	1.97524	+	2.95615i	0.107598	+	0.161032i	0.881361	−	0.472443i	$-0.156628\pi$
$337$	1.97524	+	2.95615i	0.107598	+	0.161032i	−0.773763	+	0.633475i	$0.781628\pi$
$338$	−3.53138	+	8.52552i	−0.192082	+	0.463727i
$339$	−4.85413			−0.263640
$340$	−5.48050	+	7.41378i	−0.297222	+	0.402069i
$341$	−36.5468			−1.97912
$342$	−2.16288	+	5.22164i	−0.116955	+	0.282354i
$343$	−2.17280	−	3.25182i	−0.117320	−	0.175582i
$344$	−3.52688	−	3.52688i	−0.190157	−	0.190157i
$345$	0.711329	+	0.962042i	0.0382967	+	0.0517946i
$346$	−4.65265	+	0.925470i	−0.250128	+	0.0497536i
$347$	1.36939	+	6.88437i	0.0735125	+	0.369573i	0.999977	−	0.00681022i	$-0.00216778\pi$
$347$	1.36939	+	6.88437i	0.0735125	+	0.369573i	−0.926464	+	0.376383i	$0.877168\pi$
$348$	−0.784706	+	0.325036i	−0.0420647	+	0.0174237i
$349$	0.541376	−	1.30700i	0.0289792	−	0.0699620i	−0.908727	−	0.417390i	$-0.862945\pi$
$349$	0.541376	−	1.30700i	0.0289792	−	0.0699620i	0.937707	+	0.347428i	$0.112945\pi$
$350$	8.51542	−	15.8202i	0.455168	−	0.845623i
$351$	−0.761062	−	3.82612i	−0.0406225	−	0.204223i
$352$	0.940564	−	4.72854i	0.0501323	−	0.252032i
$353$			15.8188i			0.841950i	0.907072	+	0.420975i	$0.138312\pi$
$353$			15.8188i			0.841950i	−0.907072	+	0.420975i	$0.861688\pi$
$354$	0.120983	+	0.0240650i	0.00643017	+	0.00127904i
$355$	16.0686	−	7.57126i	0.852834	−	0.401841i
$356$		−	13.6816i		−	0.725125i
$357$	1.48286	+	4.83574i	0.0784815	+	0.255935i
$358$	3.92416	+	3.92416i	0.207399	+	0.207399i
$359$	−7.61923	−	18.3945i	−0.402128	−	0.970822i	−0.987149	−	0.159804i	$-0.948914\pi$
$359$	−7.61923	−	18.3945i	−0.402128	−	0.970822i	0.585021	−	0.811018i	$-0.301086\pi$
$360$	−3.83327	−	5.18434i	−0.202031	−	0.273238i
$361$	10.7183	−	10.7183i	0.564121	−	0.564121i
$362$	−2.29801	−	0.457102i	−0.120780	−	0.0240247i
$363$	3.47555	+	2.32229i	0.182419	+	0.121889i
$364$	−5.80263	−	3.87719i	−0.304140	−	0.203220i
$365$	15.6122	+	33.1341i	0.817181	+	1.73432i
$366$	1.54713	+	0.640843i	0.0808698	+	0.0334974i
$367$	−30.1198	+	5.99119i	−1.57224	+	0.312738i	−0.902777	−	0.430109i	$-0.858475\pi$
$367$	−30.1198	+	5.99119i	−1.57224	+	0.312738i	−0.669462	+	0.742846i	$0.733475\pi$
$368$	0.870739	−	1.30315i	0.0453904	−	0.0679315i
$369$	−8.10292	−	12.1269i	−0.421821	−	0.631300i
$370$	−18.5486	−	16.8608i	−0.964297	−	0.876550i
$371$	4.94520	−	24.8612i	0.256742	−	1.29073i
$372$	−2.39098	−	0.990375i	−0.123966	−	0.0513486i
$373$	−16.7824	+	16.7824i	−0.868959	+	0.868959i	−0.992357	−	0.123399i	$-0.960621\pi$
$373$	−16.7824	+	16.7824i	−0.868959	+	0.868959i	0.123399	+	0.992357i	$0.460621\pi$
$374$	−12.5642	+	15.4041i	−0.649677	+	0.796525i
$375$	−2.28715	+	3.05585i	−0.118108	+	0.157804i
$376$	−4.82876	+	2.00014i	−0.249025	+	0.103149i
$377$	−4.01756	+	2.68445i	−0.206915	+	0.138256i
$378$	−7.21748			−0.371227
$379$	21.7735	−	14.5486i	1.11843	−	0.747310i	0.148070	−	0.988977i	$-0.452694\pi$
$379$	21.7735	−	14.5486i	1.11843	−	0.747310i	0.970359	+	0.241667i	$0.0776940\pi$
$380$	−1.05877	−	4.25313i	−0.0543138	−	0.218181i
$381$	1.07535	−	1.60938i	0.0550919	−	0.0824509i
$382$	4.71045	+	11.3720i	0.241007	+	0.581843i
$383$	−2.69731	−	6.51188i	−0.137826	−	0.332742i	0.839863	−	0.542798i	$-0.182635\pi$
$383$	−2.69731	−	6.51188i	−0.137826	−	0.332742i	−0.977689	+	0.210057i	$0.932635\pi$
$384$	0.189672	−	0.283864i	0.00967915	−	0.0144859i
$385$	19.9633	−	33.1969i	1.01742	−	1.69187i
$386$	2.40537	−	1.60722i	0.122430	−	0.0818051i
$387$	−14.3819			−0.731075
$388$	−5.31007	+	3.54808i	−0.269578	+	0.180126i
$389$	29.0794	−	12.0451i	1.47438	−	0.610710i	0.506530	−	0.862222i	$-0.330928\pi$
$389$	29.0794	−	12.0451i	1.47438	−	0.610710i	0.967854	+	0.251512i	$0.0809278\pi$
$390$	1.09712	+	0.997284i	0.0555547	+	0.0504994i
$391$	−5.68984	+	3.06340i	−0.287747	+	0.154923i
$392$	−4.18013	+	4.18013i	−0.211128	+	0.211128i
$393$	2.74273	+	1.13608i	0.138353	+	0.0573075i
$394$	2.77782	−	13.9651i	0.139945	−	0.703549i
$395$	−25.7881	+	28.3696i	−1.29754	+	1.42743i
$396$	−7.72331	−	11.5588i	−0.388111	−	0.580849i
$397$	−14.5586	+	21.7885i	−0.730675	+	1.09353i	0.261072	+	0.965319i	$0.415924\pi$
$397$	−14.5586	+	21.7885i	−0.730675	+	1.09353i	−0.991747	+	0.128213i	$0.959076\pi$
$398$	13.6723	−	2.71959i	0.685330	−	0.136321i
$399$	−2.22151	−	0.920182i	−0.111215	−	0.0460667i
$400$	4.78045	+	1.46536i	0.239023	+	0.0732680i
$401$	14.0433	+	9.38346i	0.701291	+	0.468587i	0.854396	−	0.519622i	$-0.173927\pi$
$401$	14.0433	+	9.38346i	0.701291	+	0.468587i	−0.153105	+	0.988210i	$0.548927\pi$
$402$	3.22521	+	2.15502i	0.160859	+	0.107483i
$403$	−14.4397	−	2.87224i	−0.719294	−	0.143076i
$404$	−2.12533	+	2.12533i	−0.105739	+	0.105739i
$405$	−17.6128	−	2.63884i	−0.875187	−	0.131125i
$406$	3.42103	+	8.25910i	0.169783	+	0.409892i
$407$	−38.2163	−	38.2163i	−1.89431	−	1.89431i
$408$	−1.23941	+	0.667297i	−0.0613599	+	0.0330361i
$409$			14.1837i			0.701338i	0.936500	+	0.350669i	$0.114046\pi$
$409$			14.1837i			0.701338i	−0.936500	+	0.350669i	$0.885954\pi$
$410$	10.6436	+	3.82585i	0.525651	+	0.188945i
$411$	1.88039	+	0.374033i	0.0927530	+	0.0184497i
$412$		−	6.33260i		−	0.311985i
$413$	0.253286	−	1.27336i	0.0124634	−	0.0626578i
$414$	−0.881650	−	4.43236i	−0.0433307	−	0.217838i
$415$	−1.60550	−	6.44937i	−0.0788109	−	0.316587i
$416$	0.743239	−	1.79434i	0.0364403	−	0.0879746i
$417$	−3.16806	+	1.31225i	−0.155141	+	0.0642614i
$418$	−1.84361	−	9.26844i	−0.0901738	−	0.453334i
$419$	7.69999	−	1.53162i	0.376169	−	0.0748247i	−0.00338495	−	0.999994i	$-0.501077\pi$
$419$	7.69999	−	1.53162i	0.376169	−	0.0748247i	0.379554	+	0.925170i	$0.376077\pi$
$420$	2.20564	−	1.63084i	0.107624	−	0.0795769i
$421$	−8.33374	−	8.33374i	−0.406162	−	0.406162i	0.474236	−	0.880398i	$-0.342724\pi$
$421$	−8.33374	−	8.33374i	−0.406162	−	0.406162i	−0.880398	+	0.474236i	$0.842724\pi$
$422$	5.28582	+	7.91079i	0.257310	+	0.385091i
$423$	−5.76729	+	13.9235i	−0.280415	+	0.676983i
$424$	7.05437			0.342590
$425$	−14.5789	−	14.5758i	−0.707181	−	0.707032i
$426$	2.71204			0.131399
$427$	6.74493	−	16.2837i	0.326410	−	0.788024i
$428$	4.09217	+	6.12436i	0.197802	+	0.296032i
$429$	2.26043	+	2.26043i	0.109134	+	0.109134i
$430$	8.96783	−	6.63076i	0.432467	−	0.319764i
$431$	−12.7486	+	2.53586i	−0.614080	+	0.122148i	−0.492324	−	0.870412i	$-0.663852\pi$
$431$	−12.7486	+	2.53586i	−0.614080	+	0.122148i	−0.121756	+	0.992560i	$0.538852\pi$
$432$	−0.391860	−	1.97002i	−0.0188534	−	0.0947824i
$433$	−21.7936	+	9.02722i	−1.04733	+	0.433820i	−0.838940	−	0.544224i	$-0.816824\pi$
$433$	−21.7936	+	9.02722i	−1.04733	+	0.433820i	−0.208395	+	0.978045i	$0.566824\pi$
$434$	−10.4238	+	25.1653i	−0.500358	+	1.20797i
$435$	−0.458790	−	1.84298i	−0.0219973	−	0.0883641i
$436$	1.76839	+	8.89028i	0.0846904	+	0.425767i
$437$	0.599328	−	3.01303i	0.0286697	−	0.144133i
$438$			5.59231i			0.267211i
$439$	−19.3108	−	3.84115i	−0.921652	−	0.183328i	−0.288611	−	0.957446i	$-0.593194\pi$
$439$	−19.3108	−	3.84115i	−0.921652	−	0.183328i	−0.633041	+	0.774118i	$0.718194\pi$
$440$	10.1450	+	3.64662i	0.483643	+	0.173846i
$441$			17.0458i			0.811703i
$442$	−6.17475	+	5.09876i	−0.293703	+	0.242523i
$443$	−15.3000	−	15.3000i	−0.726923	−	0.726923i	0.243083	−	0.970006i	$-0.421841\pi$
$443$	−15.3000	−	15.3000i	−0.726923	−	0.726923i	−0.970006	+	0.243083i	$0.921841\pi$
$444$	−1.46459	−	3.53582i	−0.0695062	−	0.167803i
$445$	30.2554	+	4.53302i	1.43424	+	0.214886i
$446$	−0.859779	+	0.859779i	−0.0407117	+	0.0407117i
$447$	4.59603	+	0.914208i	0.217385	+	0.0432406i
$448$	−2.98770	−	1.99631i	−0.141155	−	0.0943170i
$449$	28.1837	+	18.8317i	1.33007	+	0.888725i	0.998502	−	0.0547067i	$-0.0174224\pi$
$449$	28.1837	+	18.8317i	1.33007	+	0.888725i	0.331568	+	0.943431i	$0.392422\pi$
$450$	12.7346	−	6.75916i	0.600315	−	0.318630i
$451$	22.5299	+	9.33219i	1.06089	+	0.439436i
$452$	−13.9451	+	2.77385i	−0.655922	+	0.130471i
$453$	−4.62411	+	6.92047i	−0.217260	+	0.325152i
$454$	9.56087	+	14.3089i	0.448714	+	0.671548i
$455$	10.4965	−	11.5473i	0.492084	−	0.541344i
$456$	0.130551	−	0.656323i	0.00611360	−	0.0307352i
$457$	6.43627	+	2.66599i	0.301076	+	0.124710i	0.528107	−	0.849178i	$-0.322902\pi$
$457$	6.43627	+	2.66599i	0.301076	+	0.124710i	−0.227031	+	0.973888i	$0.572902\pi$
$458$	−7.47155	+	7.47155i	−0.349123	+	0.349123i
$459$	−2.38012	+	7.93233i	−0.111094	+	0.370249i
$460$	2.59328	+	2.35730i	0.120912	+	0.109910i
$461$	−8.56017	+	3.54574i	−0.398687	+	0.165142i	−0.573013	−	0.819547i	$-0.694225\pi$
$461$	−8.56017	+	3.54574i	−0.398687	+	0.165142i	0.174326	+	0.984688i	$0.444225\pi$
$462$	4.91760	−	3.28583i	0.228787	−	0.152871i
$463$	−3.97411			−0.184692			−0.0923462	−	0.995727i	$-0.529437\pi$
$463$	−3.97411			−0.184692			−0.0923462	+	0.995727i	$0.529437\pi$
$464$	−2.06859	+	1.38219i	−0.0960318	+	0.0641664i
$465$	2.98228	−	4.95924i	0.138300	−	0.229979i
$466$	−6.83483	+	10.2290i	−0.316617	+	0.473851i
$467$	−7.38269	−	17.8234i	−0.341630	−	0.824768i	−0.997551	−	0.0699388i	$-0.977720\pi$
$467$	−7.38269	−	17.8234i	−0.341630	−	0.824768i	0.655921	−	0.754829i	$-0.272280\pi$
$468$	−2.14309	−	5.17387i	−0.0990643	−	0.239162i
$469$	22.6818	−	33.9457i	1.04735	−	1.56747i
$470$	−2.82321	−	11.3409i	−0.130225	−	0.523119i
$471$	−1.43682	+	0.960053i	−0.0662052	+	0.0442369i
$472$	0.361315			0.0166309
$473$	19.9943	−	13.3597i	0.919337	−	0.614281i
$474$	−5.40795	+	2.24005i	−0.248395	+	0.102889i
$475$	9.75611	−	0.932197i	0.447641	−	0.0427721i
$476$	7.02336	+	13.0449i	0.321915	+	0.597912i
$477$	14.3832	−	14.3832i	0.658561	−	0.658561i
$478$	22.3939	+	9.27587i	1.02427	+	0.424268i
$479$	0.484550	−	2.43600i	0.0221396	−	0.111304i	−0.968135	−	0.250428i	$-0.919429\pi$
$479$	0.484550	−	2.43600i	0.0221396	−	0.111304i	0.990275	+	0.139124i	$0.0444287\pi$
$480$	0.564890	+	0.513488i	0.0257836	+	0.0234374i
$481$	−12.0959	−	18.1028i	−0.551526	−	0.825418i
$482$	14.1689	−	21.2053i	0.645377	−	0.965874i
$483$	1.88572	−	0.375093i	0.0858031	−	0.0170673i
$484$	11.3117	+	4.68547i	0.514169	+	0.212976i
$485$	−6.08683	−	12.9182i	−0.276389	−	0.586584i
$486$	−7.27116	−	4.85843i	−0.329826	−	0.220383i
$487$	30.6486	+	20.4787i	1.38882	+	0.927979i	0.999978	+	0.00667389i	$0.00212438\pi$
$487$	30.6486	+	20.4787i	1.38882	+	0.927979i	0.388841	+	0.921305i	$0.372876\pi$
$488$	4.81085	+	0.956938i	0.217777	+	0.0433185i
$489$	−1.79791	+	1.79791i	−0.0813045	+	0.0813045i
$490$	−7.85891	−	10.6288i	−0.355029	−	0.480162i
$491$	6.37547	+	15.3918i	0.287721	+	0.694620i	0.999973	−	0.00730348i	$-0.00232479\pi$
$491$	6.37547	+	15.3918i	0.287721	+	0.694620i	−0.712252	+	0.701924i	$0.752325\pi$
$492$	1.22107	+	1.22107i	0.0550500	+	0.0550500i
$493$	10.2053	−	1.03625i	0.459622	−	0.0466703i
$494$		−	3.80688i		−	0.171279i
$495$	28.1198	−	13.2496i	1.26389	−	0.595523i
$496$	−7.43482	−	1.47888i	−0.333833	−	0.0664035i
$497$		−	28.5444i		−	1.28039i
$498$	0.197965	−	0.995237i	0.00887102	−	0.0445976i
$499$	2.15278	+	10.8228i	0.0963718	+	0.484494i	0.998584	+	0.0532010i	$0.0169424\pi$
$499$	2.15278	+	10.8228i	0.0963718	+	0.484494i	−0.902212	+	0.431293i	$0.858058\pi$
$500$	−4.82434	+	10.0859i	−0.215751	+	0.451056i
$501$	1.00274	−	2.42084i	0.0447993	−	0.108155i
$502$	−27.4805	+	11.3828i	−1.22651	+	0.508039i
$503$	3.97591	+	19.9882i	0.177277	+	0.891231i	0.962347	+	0.271824i	$0.0876269\pi$
$503$	3.97591	+	19.9882i	0.177277	+	0.891231i	−0.785070	+	0.619407i	$0.787373\pi$
$504$	−10.1619	+	2.02133i	−0.452648	+	0.0900372i
$505$	−3.99575	−	5.40408i	−0.177809	−	0.240478i
$506$	5.34302	+	5.34302i	0.237526	+	0.237526i
$507$	−1.75028	−	2.61948i	−0.0777328	−	0.116335i
$508$	2.16964	−	5.23797i	0.0962621	−	0.232397i
$509$	−4.17100			−0.184876			−0.0924382	−	0.995718i	$-0.529466\pi$
$509$	−4.17100			−0.184876			−0.0924382	+	0.995718i	$0.529466\pi$
$510$	−1.06501	−	2.96190i	−0.0471593	−	0.131155i
$511$	58.8596			2.60380
$512$	0.382683	−	0.923880i	0.0169124	−	0.0408301i
$513$	−2.18733	−	3.27357i	−0.0965731	−	0.144532i
$514$	−5.24765	−	5.24765i	−0.231464	−	0.231464i
$515$	14.0038	+	2.09813i	0.617082	+	0.0924545i
$516$	1.67010	−	0.332205i	0.0735223	−	0.0146245i
$517$	−4.91597	−	24.7143i	−0.216204	−	1.08693i
$518$	−37.2149	+	15.4149i	−1.63513	+	0.677292i
$519$	0.619770	−	1.49626i	0.0272049	−	0.0656783i
$520$	3.72172	+	2.23809i	0.163208	+	0.0981467i
$521$	6.75071	+	33.9381i	0.295754	+	1.48686i	0.787607	+	0.616178i	$0.211320\pi$
$521$	6.75071	+	33.9381i	0.295754	+	1.48686i	−0.491853	+	0.870678i	$0.663680\pi$
$522$	−1.39951	+	7.03580i	−0.0612548	+	0.307949i
$523$		−	9.83988i		−	0.430268i	−0.976585	−	0.215134i	$-0.930981\pi$
$523$		−	9.83988i		−	0.430268i	0.976585	−	0.215134i	$-0.0690188\pi$
$524$	8.52861	+	1.69645i	0.372574	+	0.0741096i
$525$	2.87564	+	5.41786i	0.125503	+	0.236455i
$526$			16.8827i			0.736120i
$527$	24.2203	+	19.7550i	1.05505	+	0.860541i
$528$	1.16386	+	1.16386i	0.0506506	+	0.0506506i
$529$	−7.86170	−	18.9798i	−0.341813	−	0.825210i
$530$	−2.33726	+	15.5999i	−0.101524	+	0.677618i
$531$	0.736687	−	0.736687i	0.0319695	−	0.0319695i
$532$	−6.90787	−	1.37406i	−0.299494	−	0.0595731i
$533$	8.16819	+	5.45781i	0.353804	+	0.236404i
$534$	3.88372	+	2.59502i	0.168065	+	0.112298i
$535$	−14.8991	+	7.02023i	−0.644146	+	0.303511i
$536$	10.4970	+	4.34798i	0.453400	+	0.187804i
$537$	−1.85823	+	0.369625i	−0.0801886	+	0.0159505i
$538$	13.3419	−	19.9676i	0.575210	−	0.860863i
$539$	−15.8342	−	23.6976i	−0.682028	−	1.02073i
$540$	4.48630	−	0.213846i	0.193059	−	0.00920246i
$541$	2.36486	−	11.8890i	0.101673	−	0.511147i	−0.896065	−	0.443924i	$-0.853586\pi$
$541$	2.36486	−	11.8890i	0.101673	−	0.511147i	0.997738	−	0.0672231i	$-0.0214139\pi$
$542$	2.86034	+	1.18479i	0.122862	+	0.0508912i
$543$	0.565622	−	0.565622i	0.0242731	−	0.0242731i
$544$	−3.17929	+	2.62528i	−0.136311	+	0.112558i
$545$	−20.2457	+	0.965044i	−0.867233	+	0.0413379i
$546$	2.20119	−	0.911763i	0.0942023	−	0.0390199i
$547$	2.79467	−	1.86734i	0.119491	−	0.0798416i	−0.494388	−	0.869241i	$-0.664608\pi$
$547$	2.79467	−	1.86734i	0.119491	−	0.0798416i	0.613880	+	0.789399i	$0.289608\pi$
$548$	5.61579			0.239895
$549$	11.7600	−	7.85776i	0.501903	−	0.335361i
$550$	−11.4253	+	21.2263i	−0.487178	+	0.905092i
$551$	−2.70923	+	4.05466i	−0.115417	+	0.172734i
$552$	0.204763	+	0.494343i	0.00871531	+	0.0210406i
$553$	23.5767	+	56.9192i	1.00258	+	2.42045i
$554$	5.89855	−	8.82780i	0.250605	−	0.375057i
$555$	8.30432	−	2.06727i	0.352499	−	0.0877507i
$556$	−8.35143	+	5.58025i	−0.354180	+	0.236655i
$557$	8.39356			0.355647			0.177823	−	0.984062i	$-0.443094\pi$
$557$	8.39356			0.355647			0.177823	+	0.984062i	$0.443094\pi$
$558$	−18.1742	+	12.1436i	−0.769374	+	0.514079i
$559$	8.94973	−	3.70710i	0.378533	−	0.156794i
$560$	5.40451	−	5.94552i	0.228382	−	0.251244i
$561$	−1.98959	−	6.48823i	−0.0840007	−	0.273933i
$562$	12.3192	−	12.3192i	0.519655	−	0.519655i
$563$	−33.8887	−	14.0372i	−1.42824	−	0.591596i	−0.471323	−	0.881961i	$-0.656223\pi$
$563$	−33.8887	−	14.0372i	−1.42824	−	0.591596i	−0.956916	+	0.290365i	$0.906223\pi$
$564$	0.348113	−	1.75008i	0.0146582	−	0.0736918i
$565$	−1.51374	−	31.7570i	−0.0636837	−	1.33603i
$566$	1.91155	+	2.86083i	0.0803483	+	0.120250i
$567$	−15.8998	+	23.7958i	−0.667731	+	0.999329i
$568$	7.79122	−	1.54977i	0.326912	−	0.0650269i
$569$	−11.3582	−	4.70471i	−0.476159	−	0.197232i	0.131679	−	0.991292i	$-0.457963\pi$
$569$	−11.3582	−	4.70471i	−0.476159	−	0.197232i	−0.607838	+	0.794061i	$0.707963\pi$
$570$	1.40813	+	0.506152i	0.0589801	+	0.0212004i
$571$	−27.6155	−	18.4521i	−1.15567	−	0.772195i	−0.178352	−	0.983967i	$-0.557077\pi$
$571$	−27.6155	−	18.4521i	−1.15567	−	0.772195i	−0.977319	+	0.211772i	$0.932077\pi$
$572$	7.78552	+	5.20212i	0.325529	+	0.217512i
$573$	−4.12155	−	0.819827i	−0.172180	−	0.0342488i
$574$	12.8519	−	12.8519i	0.536426	−	0.536426i
$575$	−6.07211	+	4.95371i	−0.253225	+	0.206584i
$576$	−1.10345	−	2.66396i	−0.0459770	−	0.110998i
$577$	−5.54163	−	5.54163i	−0.230701	−	0.230701i	0.582284	−	0.812985i	$-0.302159\pi$
$577$	−5.54163	−	5.54163i	−0.230701	−	0.230701i	−0.812985	+	0.582284i	$0.802159\pi$
$578$	16.6530	−	3.41715i	0.692674	−	0.142135i
$579$			0.987641i			0.0410450i
$580$	−2.37118	−	5.03239i	−0.0984579	−	0.208959i
$581$	−10.4750	−	2.08360i	−0.434575	−	0.0864423i
$582$		−	2.18031i		−	0.0903767i
$583$	−6.63509	+	33.3568i	−0.274797	+	1.38150i
$584$	3.19568	+	16.0658i	0.132238	+	0.664806i
$585$	12.1515	−	3.02498i	0.502402	−	0.125067i
$586$	1.15565	−	2.78999i	0.0477395	−	0.115253i
$587$	−21.5141	+	8.91145i	−0.887984	+	0.367815i	−0.779588	−	0.626293i	$-0.784571\pi$
$587$	−21.5141	+	8.91145i	−0.887984	+	0.367815i	−0.108396	+	0.994108i	$0.534571\pi$
$588$	−0.393735	−	1.97944i	−0.0162374	−	0.0816308i
$589$	−14.5730	+	2.89876i	−0.600472	+	0.119441i
$590$	−0.119711	+	0.799007i	−0.00492844	+	0.0328946i
$591$	3.43730	+	3.43730i	0.141392	+	0.141392i
$592$	−6.22802	−	9.32090i	−0.255970	−	0.383086i
$593$	17.5350	−	42.3333i	0.720077	−	1.73842i	0.0469434	−	0.998898i	$-0.485052\pi$
$593$	17.5350	−	42.3333i	0.720077	−	1.73842i	0.673133	−	0.739521i	$-0.264948\pi$
$594$	9.68386			0.397334
$595$	−31.1743	+	11.2093i	−1.27802	+	0.459537i
$596$	13.7260			0.562241
$597$	−1.82126	+	4.39690i	−0.0745391	+	0.179953i
$598$	1.69113	+	2.53095i	0.0691553	+	0.103498i
$599$	−10.6077	−	10.6077i	−0.433419	−	0.433419i	0.456371	−	0.889790i	$-0.349149\pi$
$599$	−10.6077	−	10.6077i	−0.433419	−	0.433419i	−0.889790	+	0.456371i	$0.849149\pi$
$600$	−1.32268	+	1.07906i	−0.0539982	+	0.0440525i
$601$	14.2317	−	2.83086i	0.580523	−	0.115473i	0.103910	−	0.994587i	$-0.466864\pi$
$601$	14.2317	−	2.83086i	0.580523	−	0.115473i	0.476613	+	0.879113i	$0.341864\pi$
$602$	−3.49648	−	17.5780i	−0.142506	−	0.716426i
$603$	30.2674	−	12.5372i	1.23258	−	0.510553i
$604$	−9.32964	+	22.5237i	−0.379618	+	0.916478i
$605$	−14.1092	+	23.4622i	−0.573621	+	0.953874i
$606$	−0.200189	−	1.00642i	−0.00813212	−	0.0408829i
$607$	−7.41071	+	37.2562i	−0.300792	+	1.51218i	0.474318	+	0.880354i	$0.342695\pi$
$607$	−7.41071	+	37.2562i	−0.300792	+	1.51218i	−0.775109	+	0.631827i	$0.782305\pi$
$608$		−	1.96011i		−	0.0794929i
$609$	−2.99334	−	0.595412i	−0.121296	−	0.0241273i
$610$	−3.71010	+	10.3216i	−0.150217	+	0.417909i
$611$		−	10.1510i		−	0.410666i
$612$	−1.12958	+	11.8350i	−0.0456605	+	0.478400i
$613$	−5.34975	−	5.34975i	−0.216075	−	0.216075i	0.590767	−	0.806842i	$-0.298825\pi$
$613$	−5.34975	−	5.34975i	−0.216075	−	0.216075i	−0.806842	+	0.590767i	$0.798825\pi$
$614$	−5.11371	−	12.3456i	−0.206372	−	0.498227i
$615$	−3.10482	+	2.29569i	−0.125198	+	0.0925710i
$616$	12.2498	−	12.2498i	0.493557	−	0.493557i
$617$	−4.07823	−	0.811211i	−0.164184	−	0.0326581i	0.112314	−	0.993673i	$-0.464174\pi$
$617$	−4.07823	−	0.811211i	−0.164184	−	0.0326581i	−0.276498	+	0.961015i	$0.589174\pi$
$618$	1.79760	+	1.20112i	0.0723100	+	0.0483160i
$619$	15.1530	+	10.1249i	0.609052	+	0.406956i	0.821493	−	0.570218i	$-0.193141\pi$
$619$	15.1530	+	10.1249i	0.609052	+	0.406956i	−0.212441	+	0.977174i	$0.568141\pi$
$620$	5.73368	−	15.9513i	0.230270	−	0.640618i
$621$	2.90844	+	1.20471i	0.116712	+	0.0483435i
$622$	−23.8763	+	4.74929i	−0.957352	+	0.190429i
$623$	27.3128	−	40.8766i	1.09427	−	1.63768i
$624$	0.368376	+	0.551314i	0.0147468	+	0.0220702i
$625$	−20.7054	−	14.0102i	−0.828218	−	0.560406i
$626$	3.69489	−	18.5755i	0.147678	−	0.742426i
$627$	2.98066	+	1.23463i	0.119036	+	0.0493063i
$628$	−3.57913	+	3.57913i	−0.142823	+	0.142823i
$629$	4.66926	+	45.9842i	0.186176	+	1.83351i
$630$	−1.10308	−	23.1416i	−0.0439478	−	0.921985i
$631$	−37.0346	+	15.3402i	−1.47433	+	0.610685i	−0.967841	−	0.251564i	$-0.919055\pi$
$631$	−37.0346	+	15.3402i	−1.47433	+	0.610685i	−0.506484	+	0.862249i	$0.669055\pi$
$632$	−14.2561	+	9.52560i	−0.567076	+	0.378908i
$633$	−3.24816			−0.129103
$634$	4.88172	−	3.26186i	0.193878	−	0.129545i
$635$	10.8643	+	6.53336i	0.431137	+	0.259268i
$636$	−1.33802	+	2.00248i	−0.0530557	+	0.0794035i
$637$	−4.39373	−	10.6074i	−0.174086	−	0.420280i
$638$	−4.59008	−	11.0814i	−0.181723	−	0.438718i
$639$	12.7257	−	19.0454i	0.503422	−	0.753424i
$640$	1.91626	+	1.15236i	0.0757469	+	0.0455511i
$641$	−21.2435	+	14.1944i	−0.839067	+	0.560646i	−0.899197	−	0.437544i	$-0.855848\pi$
$641$	−21.2435	+	14.1944i	−0.839067	+	0.560646i	0.0601302	+	0.998191i	$0.480848\pi$
$642$	−2.51465			−0.0992455
$643$	−14.6723	+	9.80374i	−0.578621	+	0.386622i	−0.810165	−	0.586203i	$-0.800622\pi$
$643$	−14.6723	+	9.80374i	−0.578621	+	0.386622i	0.231544	+	0.972824i	$0.425622\pi$
$644$	5.20300	−	2.15515i	0.205027	−	0.0849250i
$645$	0.181291	+	3.80331i	0.00713831	+	0.149755i
$646$	−3.78817	+	7.13892i	−0.149043	+	0.280877i
$647$	22.3536	−	22.3536i	0.878812	−	0.878812i	−0.114600	−	0.993412i	$-0.536558\pi$
$647$	22.3536	−	22.3536i	0.878812	−	0.878812i	0.993412	+	0.114600i	$0.0365585\pi$
$648$	−7.35833	−	3.04792i	−0.289062	−	0.119734i
$649$	−0.339840	+	1.70849i	−0.0133399	+	0.0670642i
$650$	−6.18236	+	7.48863i	−0.242492	+	0.293728i
$651$	−5.16641	−	7.73208i	−0.202488	−	0.303044i
$652$	−4.13770	+	6.19251i	−0.162045	+	0.242517i
$653$	−21.9335	+	4.36284i	−0.858323	+	0.170731i	−0.604584	−	0.796542i	$-0.706660\pi$
$653$	−21.9335	+	4.36284i	−0.858323	+	0.170731i	−0.253739	+	0.967273i	$0.581660\pi$
$654$	−2.85904	−	1.18426i	−0.111797	−	0.0463080i
$655$	−6.57721	+	18.2980i	−0.256993	+	0.714961i
$656$	4.20569	+	2.81015i	0.164205	+	0.109718i
$657$	39.2723	+	26.2409i	1.53216	+	1.02375i
$658$	−18.4198	−	3.66392i	−0.718078	−	0.142835i
$659$	−25.0220	+	25.0220i	−0.974721	+	0.974721i	−0.999688	−	0.0249676i	$-0.992052\pi$
$659$	−25.0220	+	25.0220i	−0.974721	+	0.974721i	0.0249676	+	0.999688i	$0.492052\pi$
$660$	−2.95936	+	2.18814i	−0.115193	+	0.0851731i
$661$	−4.80255	−	11.5944i	−0.186797	−	0.450969i	0.802542	−	0.596595i	$-0.203480\pi$
$661$	−4.80255	−	11.5944i	−0.186797	−	0.450969i	−0.989340	+	0.145626i	$0.953480\pi$
$662$	10.8785	+	10.8785i	0.422803	+	0.422803i
$663$	−0.276178	−	2.71988i	−0.0107259	−	0.105631i
$664$		−	2.97227i		−	0.115347i
$665$	5.32730	−	14.8207i	0.206584	−	0.574722i
$666$	−31.7028	−	6.30607i	−1.22846	−	0.244355i
$667$		−	3.89921i		−	0.150978i
$668$	1.49734	−	7.52766i	0.0579340	−	0.291254i
$669$	−0.0809844	−	0.407136i	−0.00313104	−	0.0157408i
$670$	−13.0929	+	21.7723i	−0.505824	+	0.841136i
$671$	−9.04983	+	21.8482i	−0.349365	+	0.843441i
$672$	1.13336	−	0.469455i	0.0437204	−	0.0181096i
$673$	−3.09529	−	15.5611i	−0.119315	−	0.599836i	−0.993461	−	0.114173i	$-0.963578\pi$
$673$	−3.09529	−	15.5611i	−0.119315	−	0.599836i	0.874146	−	0.485663i	$-0.161422\pi$
$674$	−3.48702	+	0.693610i	−0.134315	+	0.0267169i
$675$	−1.01351	+	9.99178i	−0.0390100	+	0.384584i
$676$	−6.52515	−	6.52515i	−0.250967	−	0.250967i
$677$	−14.3947	−	21.5432i	−0.553233	−	0.827972i	0.444464	−	0.895797i	$-0.353394\pi$
$677$	−14.3947	−	21.5432i	−0.553233	−	0.827972i	−0.997697	+	0.0678245i	$0.978394\pi$
$678$	1.85759	−	4.48463i	0.0713405	−	0.172231i
$679$	−22.9480			−0.880662
$680$	−4.75214	−	7.90045i	−0.182236	−	0.302969i
$681$	−5.87520			−0.225138
$682$	13.9858	−	33.7648i	0.535546	−	1.29292i
$683$	1.50749	+	2.25612i	0.0576827	+	0.0863282i	0.859190	−	0.511657i	$-0.170968\pi$
$683$	1.50749	+	2.25612i	0.0576827	+	0.0863282i	−0.801507	+	0.597985i	$0.795968\pi$
$684$	−3.99647	−	3.99647i	−0.152809	−	0.152809i
$685$	−1.86063	+	12.4187i	−0.0710911	+	0.474493i
$686$	3.83579	−	0.762985i	0.146451	−	0.0291309i
$687$	−0.703762	−	3.53805i	−0.0268502	−	0.134985i
$688$	4.60809	−	1.90873i	0.175682	−	0.0727698i
$689$	−5.24308	+	12.6579i	−0.199745	+	0.482228i
$690$	−1.16102	+	0.289025i	−0.0441995	+	0.0110030i
$691$	2.82377	+	14.1960i	0.107421	+	0.540042i	0.996594	+	0.0824701i	$0.0262809\pi$
$691$	2.82377	+	14.1960i	0.107421	+	0.540042i	−0.889172	+	0.457572i	$0.848719\pi$
$692$	0.925470	−	4.65265i	0.0351811	−	0.176867i
$693$		−	49.9522i		−	1.89753i
$694$	−6.88437	−	1.36939i	−0.261327	−	0.0519812i
$695$	−9.57307	−	20.3171i	−0.363127	−	0.770671i
$696$		−	0.849360i		−	0.0321949i
$697$	−9.88658	−	18.3629i	−0.374481	−	0.695545i
$698$	1.00033	+	1.00033i	0.0378632	+	0.0378632i
$699$	−1.60728	−	3.88032i	−0.0607930	−	0.146767i
$700$	11.3572	+	13.9213i	0.429262	+	0.526177i
$701$	33.9947	−	33.9947i	1.28396	−	1.28396i	0.345566	−	0.938394i	$-0.387687\pi$
$701$	33.9947	−	33.9947i	1.28396	−	1.28396i	0.938394	−	0.345566i	$-0.112313\pi$
$702$	3.82612	+	0.761062i	0.144407	+	0.0287244i
$703$	−18.2700	−	12.2076i	−0.689065	−	0.460418i
$704$	4.00866	+	2.67850i	0.151082	+	0.100950i
$705$	3.75477	+	1.34965i	0.141413	+	0.0508308i
$706$	−14.6147	−	6.05360i	−0.550031	−	0.227830i
$707$	−10.5926	+	2.10701i	−0.398377	+	0.0792422i
$708$	−0.0685313	+	0.102564i	−0.00257556	+	0.00385460i
$709$	21.5761	+	32.2910i	0.810309	+	1.21271i	0.974078	+	0.226214i	$0.0726349\pi$
$709$	21.5761	+	32.2910i	0.810309	+	1.21271i	−0.163769	+	0.986499i	$0.552365\pi$
$710$	0.845740	+	17.7429i	0.0317401	+	0.665878i
$711$	−9.64497	+	48.4885i	−0.361715	+	1.81846i
$712$	12.6402	+	5.23574i	0.473711	+	0.196217i
$713$	8.40098	−	8.40098i	0.314619	−	0.314619i
$714$	−5.03511	−	0.480571i	−0.188434	−	0.0179849i
$715$	−14.0834	+	15.4932i	−0.526690	+	0.579414i
$716$	−5.12717	+	2.12374i	−0.191611	+	0.0793680i
$717$	−6.88058	+	4.59746i	−0.256960	+	0.171695i
$718$	19.9100			0.743035
$719$	6.40695	−	4.28098i	0.238939	−	0.159654i	−0.430336	−	0.902669i	$-0.641605\pi$
$719$	6.40695	−	4.28098i	0.238939	−	0.159654i	0.669275	+	0.743015i	$0.266605\pi$
$720$	6.25663	−	1.55752i	0.233171	−	0.0580454i
$721$	12.6419	−	18.9199i	0.470808	−	0.704613i
$722$	5.80071	+	14.0041i	0.215880	+	0.521180i
$723$	3.33197	+	8.04409i	0.123917	+	0.299163i
$724$	1.30172	−	1.94815i	0.0483779	−	0.0724026i
$725$	11.9142	−	3.57625i	0.442482	−	0.132819i
$726$	−3.47555	+	2.32229i	−0.128990	+	0.0861883i
$727$	9.16941			0.340075			0.170037	−	0.985438i	$-0.445611\pi$
$727$	9.16941			0.340075			0.170037	+	0.985438i	$0.445611\pi$
$728$	5.80263	−	3.87719i	0.215060	−	0.143698i
$729$	−19.3167	+	8.00125i	−0.715434	+	0.296342i
$730$	−36.5864	+	1.74395i	−1.35412	+	0.0645463i
$731$	−20.4720	−	1.95393i	−0.757186	−	0.0722689i
$732$	−1.18412	+	1.18412i	−0.0437664	+	0.0437664i
$733$	49.0690	+	20.3250i	1.81240	+	0.750722i	0.980705	+	0.195496i	$0.0626315\pi$
$733$	49.0690	+	20.3250i	1.81240	+	0.750722i	0.831699	+	0.555227i	$0.187368\pi$
$734$	5.99119	−	30.1198i	0.221139	−	1.11174i
$735$	4.50776	−	0.214869i	0.166271	−	0.00792557i
$736$	0.870739	+	1.30315i	0.0320958	+	0.0480348i
$737$	−30.4327	+	45.5457i	−1.12100	+	1.67770i
$738$	14.3046	−	2.84537i	0.526561	−	0.104739i
$739$	−0.826766	−	0.342458i	−0.0304131	−	0.0125975i	0.367425	−	0.930053i	$-0.380239\pi$
$739$	−0.826766	−	0.342458i	−0.0304131	−	0.0125975i	−0.397838	+	0.917456i	$0.630239\pi$
$740$	22.6756	−	10.6843i	0.833571	−	0.392764i
$741$	1.08063	+	0.722057i	0.0396981	+	0.0265254i
$742$	21.0763	+	14.0827i	0.773735	+	0.516993i
$743$	34.6510	+	6.89251i	1.27122	+	0.252862i	0.784189	−	0.620522i	$-0.213079\pi$
$743$	34.6510	+	6.89251i	1.27122	+	0.252862i	0.487033	+	0.873384i	$0.338079\pi$
$744$	1.82998	−	1.82998i	0.0670901	−	0.0670901i
$745$	−4.54773	+	30.3536i	−0.166616	+	1.11207i
$746$	−9.08256	−	21.9272i	−0.332536	−	0.802813i
$747$	−6.06018	−	6.06018i	−0.221730	−	0.221730i
$748$	−9.42341	−	17.5026i	−0.344554	−	0.639960i
$749$			26.4670i			0.967082i
$750$	−1.94799	−	3.28247i	−0.0711304	−	0.119859i
$751$	−0.624091	−	0.124139i	−0.0227734	−	0.00452991i	0.183690	−	0.982984i	$-0.441196\pi$
$751$	−0.624091	−	0.124139i	−0.0227734	−	0.00452991i	−0.206464	+	0.978454i	$0.566196\pi$
$752$		−	5.22662i		−	0.190595i
$753$	1.98111	−	9.95971i	0.0721957	−	0.362952i
$754$	−0.942653	−	4.73904i	−0.0343294	−	0.172586i
$755$	−46.7176	−	28.0940i	−1.70023	−	1.02245i
$756$	2.76201	−	6.66808i	0.100453	−	0.242516i
$757$	26.0293	−	10.7817i	0.946052	−	0.391868i	0.144307	−	0.989533i	$-0.453905\pi$
$757$	26.0293	−	10.7817i	0.946052	−	0.391868i	0.801746	+	0.597665i	$0.203905\pi$
$758$	5.10878	+	25.6836i	0.185559	+	0.932870i
$759$	−2.53011	+	0.503270i	−0.0918372	+	0.0182676i
$760$	4.33455	+	0.649426i	0.157231	+	0.0235572i
$761$	25.9017	+	25.9017i	0.938936	+	0.938936i	0.998240	−	0.0593040i	$-0.0188881\pi$
$761$	25.9017	+	25.9017i	0.938936	+	0.938936i	−0.0593040	+	0.998240i	$0.518888\pi$
$762$	1.07535	+	1.60938i	0.0389559	+	0.0583016i
$763$	−12.4644	+	30.0917i	−0.451241	+	1.08939i
$764$	−12.3090			−0.445324
$765$	−25.7974	−	6.41911i	−0.932708	−	0.232083i
$766$	7.04841			0.254669
$767$	−0.268543	+	0.648321i	−0.00969654	+	0.0234095i
$768$	0.189672	+	0.283864i	0.00684419	+	0.0102431i
$769$	15.4402	+	15.4402i	0.556788	+	0.556788i	0.928392	−	0.371604i	$-0.121192\pi$
$769$	15.4402	+	15.4402i	0.556788	+	0.556788i	−0.371604	+	0.928392i	$0.621192\pi$
$770$	23.0303	+	31.1476i	0.829956	+	1.12248i
$771$	2.48495	−	0.494287i	0.0894932	−	0.0178013i
$772$	0.564379	+	2.83733i	0.0203125	+	0.102118i
$773$	29.2176	−	12.1023i	1.05088	−	0.435290i	0.210676	−	0.977556i	$-0.432434\pi$
$773$	29.2176	−	12.1023i	1.05088	−	0.435290i	0.840207	+	0.542266i	$0.182434\pi$
$774$	5.50373	−	13.2872i	0.197828	−	0.477598i
$775$	33.3747	+	17.9644i	1.19885	+	0.645300i
$776$	−1.24592	−	6.26366i	−0.0447259	−	0.224852i
$777$	2.68288	−	13.4877i	0.0962477	−	0.483870i
$778$			31.4753i			1.12845i
$779$	9.72400	+	1.93422i	0.348398	+	0.0693008i
$780$	−1.34122	+	0.631959i	−0.0480233	+	0.0226278i
$781$			38.2987i			1.37044i
$782$	−0.652808	−	6.42904i	−0.0233444	−	0.229902i
$783$	−3.53353	−	3.53353i	−0.126278	−	0.126278i
$784$	−2.26227	−	5.46160i	−0.0807953	−	0.195057i
$785$	−6.72899	−	9.10068i	−0.240168	−	0.324817i
$786$	−2.09920	+	2.09920i	−0.0748759	+	0.0748759i
$787$	25.1370	+	5.00006i	0.896038	+	0.178233i	0.621566	−	0.783362i	$-0.286497\pi$
$787$	25.1370	+	5.00006i	0.896038	+	0.178233i	0.274472	+	0.961595i	$0.411497\pi$
$788$	11.8390	+	7.91057i	0.421747	+	0.281802i
$789$	−4.79239	−	3.20217i	−0.170614	−	0.114000i
$790$	−16.3414	−	34.6817i	−0.581402	−	1.23392i
$791$	−47.2011	−	19.5514i	−1.67828	−	0.695166i
$792$	13.6345	−	2.71207i	0.484480	−	0.0963691i
$793$	−5.29268	+	7.92105i	−0.187948	+	0.281285i
$794$	−14.5586	−	21.7885i	−0.516665	−	0.773244i
$795$	−3.98494	−	3.62233i	−0.141331	−	0.128471i
$796$	−2.71959	+	13.6723i	−0.0963933	+	0.484602i
$797$	43.0976	+	17.8516i	1.52660	+	0.632337i	0.978900	−	0.204341i	$-0.0655051\pi$
$797$	43.0976	+	17.8516i	1.52660	+	0.632337i	0.547696	+	0.836678i	$0.315505\pi$
$798$	1.70027	−	1.70027i	0.0601890	−	0.0601890i
$799$	−10.1011	+	19.0359i	−0.357352	+	0.673441i
$800$	−3.18322	+	3.85579i	−0.112544	+	0.136323i
$801$	36.4473	−	15.0970i	1.28780	−	0.533425i
$802$	−14.0433	+	9.38346i	−0.495887	+	0.331341i
$803$	−78.9734			−2.78691
$804$	−3.22521	+	2.15502i	−0.113745	+	0.0760017i
$805$	3.04201	+	12.2199i	0.107217	+	0.430695i
$806$	8.17945	−	12.2414i	0.288109	−	0.431185i
$807$	3.13749	+	7.57457i	0.110445	+	0.266638i
$808$	−1.15022	−	2.77687i	−0.0404645	−	0.0976900i
$809$	17.4188	−	26.0690i	0.612411	−	0.916537i	−0.387575	−	0.921838i	$-0.626687\pi$
$809$	17.4188	−	26.0690i	0.612411	−	0.916537i	0.999986	+	0.00530074i	$0.00168729\pi$
$810$	9.17810	−	15.2623i	0.322485	−	0.536261i
$811$	43.3535	−	28.9679i	1.52235	−	1.01720i	0.537602	−	0.843199i	$-0.319330\pi$
$811$	43.3535	−	28.9679i	1.52235	−	1.01720i	0.984745	−	0.174001i	$-0.0556696\pi$
$812$	−8.93959			−0.313718
$813$	−0.878846	+	0.587226i	−0.0308225	+	0.0205949i
$814$	49.9321	−	20.6825i	1.75012	−	0.724923i
$815$	−12.3231	−	11.2018i	−0.431660	−	0.392381i
$816$	−0.142200	−	1.40043i	−0.00497801	−	0.0490248i
$817$	6.91307	−	6.91307i	0.241858	−	0.241858i
$818$	−13.1040	−	5.42786i	−0.458171	−	0.189781i
$819$	3.92578	−	19.7362i	0.137178	−	0.689640i
$820$	−7.60777	+	8.36934i	−0.265675	+	0.292270i
$821$	−18.5846	−	27.8138i	−0.648607	−	0.970708i	−0.999413	−	0.0342603i	$-0.989092\pi$
$821$	−18.5846	−	27.8138i	−0.648607	−	0.970708i	0.350806	−	0.936448i	$-0.385908\pi$
$822$	−1.06516	+	1.59412i	−0.0371516	+	0.0556013i
$823$	15.7163	−	3.12617i	0.547837	−	0.108972i	0.0865913	−	0.996244i	$-0.472403\pi$
$823$	15.7163	−	3.12617i	0.547837	−	0.108972i	0.461246	+	0.887272i	$0.347403\pi$
$824$	5.85056	+	2.42338i	0.203814	+	0.0844225i
$825$	−3.85831	−	7.26927i	−0.134329	−	0.253083i
$826$	1.07950	+	0.721298i	0.0375606	+	0.0250972i
$827$	15.5868	+	10.4147i	0.542005	+	0.362156i	0.796235	−	0.604988i	$-0.206822\pi$
$827$	15.5868	+	10.4147i	0.542005	+	0.362156i	−0.254230	+	0.967144i	$0.581822\pi$
$828$	4.43236	+	0.881650i	0.154035	+	0.0306395i
$829$	−33.9039	+	33.9039i	−1.17753	+	1.17753i	−0.197158	+	0.980372i	$0.563171\pi$
$829$	−33.9039	+	33.9039i	−1.17753	+	1.17753i	−0.980372	+	0.197158i	$0.936829\pi$
$830$	6.57284	+	0.984778i	0.228147	+	0.0341821i
$831$	1.38711	+	3.34877i	0.0481182	+	0.116168i
$832$	1.37333	+	1.37333i	0.0476115	+	0.0476115i
$833$	−2.31584	+	24.2639i	−0.0802392	+	0.840693i
$834$		−	3.42909i		−	0.118740i
$835$	16.1505	+	5.80528i	0.558910	+	0.200900i
$836$	9.26844	+	1.84361i	0.320556	+	0.0637625i
$837$		−	15.2262i		−	0.526295i
$838$	−1.53162	+	7.69999i	−0.0529090	+	0.265992i
$839$	−2.83103	−	14.2325i	−0.0977380	−	0.491362i	−0.998385	−	0.0568105i	$-0.981907\pi$
$839$	−2.83103	−	14.2325i	−0.0977380	−	0.491362i	0.900647	−	0.434551i	$-0.143093\pi$
$840$	0.662637	+	2.66184i	0.0228632	+	0.0918423i
$841$	8.72920	−	21.0742i	0.301007	−	0.726695i
$842$	10.8886	−	4.51019i	0.375245	−	0.155431i
$843$	1.16037	+	5.83359i	0.0399654	+	0.200920i
$844$	−9.33142	+	1.85613i	−0.321201	+	0.0638908i
$845$	16.5915	−	12.2677i	0.570766	−	0.422022i
$846$	−10.6566	−	10.6566i	−0.366380	−	0.366380i
$847$	24.4423	+	36.5805i	0.839848	+	1.25692i
$848$	−2.69959	+	6.51739i	−0.0927043	+	0.223808i
$849$	−1.17465			−0.0403140
$850$	19.0454	−	7.89122i	0.653253	−	0.270667i
$851$	17.5695			0.602276
$852$	−1.03785	+	2.50559i	−0.0355562	+	0.0858403i
$853$	−15.5515	−	23.2745i	−0.532474	−	0.796903i	0.463543	−	0.886075i	$-0.346578\pi$
$853$	−15.5515	−	23.2745i	−0.532474	−	0.796903i	−0.996016	+	0.0891716i	$0.971578\pi$
$854$	12.4630	+	12.4630i	0.426475	+	0.426475i
$855$	10.1619	−	7.51362i	0.347528	−	0.256961i
$856$	−7.22418	+	1.43698i	−0.246917	+	0.0491149i
$857$	7.92585	+	39.8460i	0.270742	+	1.36111i	0.841617	+	0.540075i	$0.181604\pi$
$857$	7.92585	+	39.8460i	0.270742	+	1.36111i	−0.570875	+	0.821037i	$0.693396\pi$
$858$	−2.95339	+	1.22333i	−0.100827	+	0.0417639i
$859$	−17.9558	+	43.3492i	−0.612645	+	1.47906i	0.247438	+	0.968904i	$0.420411\pi$
$859$	−17.9558	+	43.3492i	−0.612645	+	1.47906i	−0.860083	+	0.510153i	$0.829589\pi$
$860$	2.69419	+	10.8227i	0.0918710	+	0.369050i
$861$	1.21054	+	6.08582i	0.0412552	+	0.207404i
$862$	2.53586	−	12.7486i	0.0863717	−	0.434220i
$863$		−	24.4153i		−	0.831108i	−0.909569	−	0.415554i	$-0.863588\pi$
$863$		−	24.4153i		−	0.831108i	0.909569	−	0.415554i	$-0.136412\pi$
$864$	1.97002	+	0.391860i	0.0670213	+	0.0133314i
$865$	9.98218	+	3.58810i	0.339404	+	0.121999i
$866$		−	23.5893i		−	0.801595i
$867$	−2.18860	+	5.37533i	−0.0743289	+	0.182556i
$868$	−19.2607	−	19.2607i	−0.653750	−	0.653750i
$869$	−31.6334	−	76.3698i	−1.07309	−	2.59067i
$870$	1.87826	+	0.281411i	0.0636790	+	0.00954073i
$871$	−15.6035	+	15.6035i	−0.528704	+	0.528704i
$872$	−8.89028	−	1.76839i	−0.301063	−	0.0598852i
$873$	−15.3113	−	10.2307i	−0.518209	−	0.346256i
$874$	2.55432	+	1.70674i	0.0864011	+	0.0577314i
$875$	−34.5483	+	20.5027i	−1.16795	+	0.693119i
$876$	−5.16663	−	2.14009i	−0.174564	−	0.0723068i
$877$	32.8714	−	6.53853i	1.10999	−	0.220790i	0.394143	−	0.919049i	$-0.371041\pi$
$877$	32.8714	−	6.53853i	1.10999	−	0.220790i	0.715846	+	0.698259i	$0.246041\pi$
$878$	10.9387	−	16.3709i	0.369162	−	0.552490i
$879$	0.572783	+	0.857230i	0.0193195	+	0.0289137i
$880$	−7.25135	+	7.97725i	−0.244443	+	0.268913i
$881$	6.19893	−	31.1641i	0.208847	−	1.04995i	−0.724035	−	0.689764i	$-0.757714\pi$
$881$	6.19893	−	31.1641i	0.208847	−	1.04995i	0.932882	−	0.360182i	$-0.117286\pi$
$882$	−15.7482	−	6.52313i	−0.530271	−	0.219645i
$883$	21.7415	−	21.7415i	0.731658	−	0.731658i	−0.239290	−	0.970948i	$-0.576915\pi$
$883$	21.7415	−	21.7415i	0.731658	−	0.731658i	0.970948	+	0.239290i	$0.0769147\pi$
$884$	−2.34766	−	7.65593i	−0.0789605	−	0.257497i
$885$	−0.204103	−	0.185531i	−0.00686086	−	0.00623655i
$886$	19.9904	−	8.28028i	0.671589	−	0.278181i
$887$	11.6891	−	7.81041i	0.392482	−	0.262248i	−0.343634	−	0.939104i	$-0.611658\pi$
$887$	11.6891	−	7.81041i	0.392482	−	0.262248i	0.736116	+	0.676856i	$0.236658\pi$
$888$	3.82715			0.128431
$889$	16.9388	−	11.3182i	0.568111	−	0.379599i
$890$	−15.7662	+	26.2176i	−0.528484	+	0.878816i
$891$	21.3332	−	31.9274i	0.714688	−	1.06961i
$892$	−0.465309	−	1.12336i	−0.0155797	−	0.0376127i
$893$	−3.92049	−	9.46490i	−0.131194	−	0.316731i
$894$	−2.60344	+	3.89633i	−0.0870722	+	0.130313i
$895$	−2.99767	−	12.0418i	−0.100201	−	0.402513i
$896$	2.98770	−	1.99631i	0.0998119	−	0.0666922i
$897$	−1.03921			−0.0346981
$898$	−28.1837	+	18.8317i	−0.940502	+	0.628423i
$899$	−17.4237	+	7.21712i	−0.581111	+	0.240704i
$900$	1.37132	+	14.3519i	0.0457107	+	0.478395i
$901$	22.4279	−	18.5197i	0.747182	−	0.616981i
$902$	−17.2436	+	17.2436i	−0.574150	+	0.574150i
$903$	5.65295	+	2.34153i	0.188118	+	0.0779212i
$904$	2.77385	−	13.9451i	0.0922569	−	0.463807i
$905$	3.87684	+	3.52406i	0.128870	+	0.117144i
$906$	−4.62411	−	6.92047i	−0.153626	−	0.229917i
$907$	25.8652	−	38.7100i	0.858839	−	1.28534i	−0.0981359	−	0.995173i	$-0.531288\pi$
$907$	25.8652	−	38.7100i	0.858839	−	1.28534i	0.956975	−	0.290170i	$-0.0937120\pi$
$908$	−16.8784	+	3.35733i	−0.560131	+	0.111417i
$909$	−8.00696	−	3.31659i	−0.265574	−	0.110004i
$910$	6.65143	+	14.1165i	0.220493	+	0.467956i
$911$	−26.9087	−	17.9798i	−0.891524	−	0.595697i	0.0232204	−	0.999730i	$-0.492608\pi$
$911$	−26.9087	−	17.9798i	−0.891524	−	0.595697i	−0.914744	+	0.404033i	$0.867608\pi$
$912$	0.556404	+	0.371777i	0.0184244	+	0.0123108i
$913$	14.0545	+	2.79561i	0.465136	+	0.0925213i
$914$	−4.92611	+	4.92611i	−0.162941	+	0.162941i
$915$	−2.22623	−	3.01088i	−0.0735968	−	0.0995365i
$916$	−4.04358	−	9.76206i	−0.133604	−	0.322547i
$917$	22.0942	+	22.0942i	0.729616	+	0.729616i
$918$	−6.41768	−	5.23451i	−0.211815	−	0.172765i
$919$		−	4.92062i		−	0.162316i	−0.996701	−	0.0811581i	$-0.974138\pi$
$919$		−	4.92062i		−	0.162316i	0.996701	−	0.0811581i	$-0.0258619\pi$
$920$	−3.17027	+	1.49378i	−0.104521	+	0.0492483i
$921$	4.47439	+	0.890012i	0.147436	+	0.0293269i
$922$		−	9.26546i		−	0.305142i
$923$	−3.00993	+	15.1319i	−0.0990729	+	0.498073i
$924$	1.15383	+	5.80070i	0.0379583	+	0.190829i
$925$	16.1143	+	53.6844i	0.529835	+	1.76513i
$926$	1.52082	−	3.67159i	0.0499774	−	0.120656i
$927$	16.8698	−	6.98769i	0.554076	−	0.229506i
$928$	−0.485359	−	2.44007i	−0.0159327	−	0.0800991i
$929$	−36.2635	+	7.21326i	−1.18977	+	0.236659i	−0.749991	−	0.661448i	$-0.769942\pi$
$929$	−36.2635	+	7.21326i	−1.18977	+	0.236659i	−0.439776	+	0.898108i	$0.644942\pi$
$930$	3.44047	+	4.65309i	0.112817	+	0.152581i
$931$	−8.19351	−	8.19351i	−0.268531	−	0.268531i
$932$	−6.83483	−	10.2290i	−0.223882	−	0.335063i
$933$	3.18051	−	7.67843i	0.104125	−	0.251380i
$934$	19.2919			0.631250
$935$	41.8273	−	15.0398i	1.36790	−	0.491853i
$936$	5.60016			0.183047
$937$	−6.43270	+	15.5299i	−0.210147	+	0.507340i	−0.993446	−	0.114306i	$-0.963536\pi$
$937$	−6.43270	+	15.5299i	−0.210147	+	0.507340i	0.783299	+	0.621646i	$0.213536\pi$
$938$	22.6818	+	33.9457i	0.740587	+	1.10837i
$939$	4.57209	+	4.57209i	0.149205	+	0.149205i
$940$	11.5581	+	1.73169i	0.376983	+	0.0564815i
$941$	−3.21281	+	0.639067i	−0.104735	+	0.0208330i	−0.247179	−	0.968970i	$-0.579504\pi$
$941$	−3.21281	+	0.639067i	−0.104735	+	0.0208330i	0.142445	+	0.989803i	$0.454504\pi$
$942$	−0.337126	−	1.69485i	−0.0109842	−	0.0552211i
$943$	−7.32411	+	3.03375i	−0.238506	+	0.0987924i
$944$	−0.138269	+	0.333812i	−0.00450028	+	0.0108646i
$945$	13.8306	+	8.31715i	0.449909	+	0.270557i
$946$	4.69131	+	23.5848i	0.152528	+	0.766809i
$947$	−5.12084	+	25.7442i	−0.166405	+	0.836574i	0.803914	+	0.594746i	$0.202747\pi$
$947$	−5.12084	+	25.7442i	−0.166405	+	0.836574i	−0.970319	+	0.241829i	$0.922253\pi$
$948$		−	5.85352i		−	0.190114i
$949$	−31.2026	−	6.20658i	−1.01288	−	0.201474i
$950$	−2.87226	+	9.37020i	−0.0931885	+	0.304010i
$951$			2.00443i			0.0649981i
$952$	−14.7396	+	1.49667i	−0.477715	+	0.0485074i
$953$	6.27140	+	6.27140i	0.203151	+	0.203151i	0.801348	−	0.598198i	$-0.204116\pi$
$953$	6.27140	+	6.27140i	0.203151	+	0.203151i	−0.598198	+	0.801348i	$0.704116\pi$
$954$	7.78412	+	18.7925i	0.252020	+	0.608431i
$955$	4.07823	−	27.2199i	0.131969	−	0.880816i
$956$	−17.1396	+	17.1396i	−0.554333	+	0.554333i
$957$	4.01623	+	0.798877i	0.129826	+	0.0258240i
$958$	2.06514	+	1.37988i	0.0667216	+	0.0445819i
$959$	16.7783	+	11.2109i	0.541799	+	0.362018i
$960$	−0.690575	+	0.325387i	−0.0222882	+	0.0105018i
$961$	−24.4492	−	10.1272i	−0.788682	−	0.326683i
$962$	21.3537	−	4.24752i	0.688472	−	0.136946i
$963$	−11.7995	+	17.6593i	−0.380235	+	0.569062i
$964$	14.1689	+	21.2053i	0.456350	+	0.682976i
$965$	−6.46141	+	0.307993i	−0.208000	+	0.00991464i
$966$	−0.375093	+	1.88572i	−0.0120684	+	0.0606720i
$967$	−13.0484	−	5.40483i	−0.419608	−	0.173807i	0.162881	−	0.986646i	$-0.447921\pi$
$967$	−13.0484	−	5.40483i	−0.419608	−	0.173807i	−0.582490	+	0.812838i	$0.697921\pi$
$968$	−8.65762	+	8.65762i	−0.278266	+	0.278266i
$969$	−1.30797	−	2.42938i	−0.0420182	−	0.0780428i
$970$	14.2642	−	0.679923i	0.457995	−	0.0218310i
$971$	−1.56138	+	0.646745i	−0.0501071	+	0.0207550i	−0.407596	−	0.913162i	$-0.633633\pi$
$971$	−1.56138	+	0.646745i	−0.0501071	+	0.0207550i	0.357489	+	0.933917i	$0.383633\pi$
$972$	7.27116	−	4.85843i	0.233222	−	0.155834i
$973$	−36.0915			−1.15704
$974$	−30.6486	+	20.4787i	−0.982043	+	0.656180i
$975$	−0.953132	−	3.17533i	−0.0305246	−	0.101692i
$976$	−2.72513	+	4.07844i	−0.0872292	+	0.130548i
$977$	−1.10106	−	2.65820i	−0.0352262	−	0.0850435i	0.905287	−	0.424800i	$-0.139655\pi$
$977$	−1.10106	−	2.65820i	−0.0352262	−	0.0850435i	−0.940514	+	0.339756i	$0.889655\pi$
$978$	−0.973024	−	2.34909i	−0.0311139	−	0.0751156i
$979$	−36.6463	+	54.8450i	−1.17122	+	1.75285i
$980$	12.8272	−	3.19320i	0.409751	−	0.102003i
$981$	−21.7320	+	14.5209i	−0.693850	+	0.463615i
$982$	−16.6599			−0.531639
$983$	38.0131	−	25.3995i	1.21243	−	0.810120i	0.225972	−	0.974134i	$-0.427444\pi$
$983$	38.0131	−	25.3995i	1.21243	−	0.810120i	0.986458	+	0.164014i	$0.0524443\pi$
$984$	−1.59540	+	0.660837i	−0.0508596	+	0.0210667i
$985$	−21.4158	+	23.5597i	−0.682365	+	0.750673i
$986$	−2.94802	+	9.82500i	−0.0938841	+	0.312892i
$987$	4.53377	−	4.53377i	0.144312	−	0.144312i
$988$	3.51709	+	1.45683i	0.111894	+	0.0463479i
$989$	−1.52507	+	7.66706i	−0.0484945	+	0.243798i
$990$	1.48003	+	31.0497i	0.0470384	+	0.986823i
$991$	−6.63121	−	9.92431i	−0.210647	−	0.315256i	0.711068	−	0.703123i	$-0.248212\pi$
$991$	−6.63121	−	9.92431i	−0.210647	−	0.315256i	−0.921715	+	0.387867i	$0.873212\pi$
$992$	4.21149	−	6.30293i	0.133715	−	0.200118i
$993$	−5.15134	+	1.02466i	−0.163473	+	0.0325167i
$994$	26.3716	+	10.9235i	0.836457	+	0.346472i
$995$	−29.3337	−	10.5440i	−0.929939	−	0.334267i
$996$	0.843721	+	0.563756i	0.0267343	+	0.0178633i
$997$	−37.2486	−	24.8887i	−1.17968	−	0.788234i	−0.198264	−	0.980149i	$-0.563530\pi$
$997$	−37.2486	−	24.8887i	−1.17968	−	0.788234i	−0.981412	+	0.191914i	$0.938530\pi$
$998$	−10.8228	−	2.15278i	−0.342589	−	0.0681452i
$999$	15.9218	−	15.9218i	0.503743	−	0.503743i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.o.a.3.3	✓	32
5.2	odd	4		170.2.r.a.37.3	yes	32
5.3	odd	4		850.2.v.c.207.2		32
5.4	even	2		850.2.s.c.343.2		32
17.6	odd	16		170.2.r.a.23.3	yes	32
85.23	even	16		850.2.s.c.57.2		32
85.57	even	16	inner	170.2.o.a.57.3	yes	32
85.74	odd	16		850.2.v.c.193.2		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.a.3.3	✓	32	1.1	even	1	trivial
170.2.o.a.57.3	yes	32	85.57	even	16	inner
170.2.r.a.23.3	yes	32	17.6	odd	16
170.2.r.a.37.3	yes	32	5.2	odd	4
850.2.s.c.57.2		32	85.23	even	16
850.2.s.c.343.2		32	5.4	even	2
850.2.v.c.193.2		32	85.74	odd	16
850.2.v.c.207.2		32	5.3	odd	4

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.o (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.382683 + 0.923880i) q^{2} +(-0.189672 - 0.283864i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(1.79797 - 1.32941i) q^{5} +(0.334840 - 0.0666039i) q^{6} +(-0.701012 - 3.52423i) q^{7} +(0.923880 - 0.382683i) q^{8} +(1.10345 - 2.66396i) q^{9} +O(q^{10})\)	\(q+(-0.382683 + 0.923880i) q^{2} +(-0.189672 - 0.283864i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(1.79797 - 1.32941i) q^{5} +(0.334840 - 0.0666039i) q^{6} +(-0.701012 - 3.52423i) q^{7} +(0.923880 - 0.382683i) q^{8} +(1.10345 - 2.66396i) q^{9} +(0.540159 + 2.16985i) q^{10} +(0.940564 + 4.72854i) q^{11} +(-0.0666039 + 0.334840i) q^{12} +1.94218i q^{13} +(3.52423 + 0.701012i) q^{14} +(-0.718394 - 0.258227i) q^{15} +1.00000i q^{16} +(1.93263 - 3.64211i) q^{17} +(2.03890 + 2.03890i) q^{18} +(0.750101 + 1.81090i) q^{19} +(-2.21139 - 0.331322i) q^{20} +(-0.867439 + 0.867439i) q^{21} +(-4.72854 - 0.940564i) q^{22} +(-1.30315 - 0.870739i) q^{23} +(-0.283864 - 0.189672i) q^{24} +(1.46536 - 4.78045i) q^{25} +(-1.79434 - 0.743239i) q^{26} +(-1.97002 + 0.391860i) q^{27} +(-1.99631 + 2.98770i) q^{28} +(1.38219 + 2.06859i) q^{29} +(0.513488 - 0.564890i) q^{30} +(-1.47888 + 7.43482i) q^{31} +(-0.923880 - 0.382683i) q^{32} +(1.16386 - 1.16386i) q^{33} +(2.62528 + 3.17929i) q^{34} +(-5.94552 - 5.40451i) q^{35} +(-2.66396 + 1.10345i) q^{36} +(-9.32090 + 6.22802i) q^{37} -1.96011 q^{38} +(0.551314 - 0.368376i) q^{39} +(1.15236 - 1.91626i) q^{40} +(2.81015 - 4.20569i) q^{41} +(-0.469455 - 1.13336i) q^{42} +(-1.90873 - 4.60809i) q^{43} +(2.67850 - 4.00866i) q^{44} +(-1.55752 - 6.25663i) q^{45} +(1.30315 - 0.870739i) q^{46} -5.22662 q^{47} +(0.283864 - 0.189672i) q^{48} +(-5.46160 + 2.26227i) q^{49} +(3.85579 + 3.18322i) q^{50} +(-1.40043 + 0.142200i) q^{51} +(1.37333 - 1.37333i) q^{52} +(6.51739 + 2.69959i) q^{53} +(0.391860 - 1.97002i) q^{54} +(7.97725 + 7.25135i) q^{55} +(-1.99631 - 2.98770i) q^{56} +(0.371777 - 0.556404i) q^{57} +(-2.44007 + 0.485359i) q^{58} +(0.333812 + 0.138269i) q^{59} +(0.325387 + 0.690575i) q^{60} +(4.07844 + 2.72513i) q^{61} +(-6.30293 - 4.21149i) q^{62} +(-10.1619 - 2.02133i) q^{63} +(0.707107 - 0.707107i) q^{64} +(2.58194 + 3.49197i) q^{65} +(0.629878 + 1.52066i) q^{66} +(8.03403 + 8.03403i) q^{67} +(-3.94193 + 1.20878i) q^{68} +0.535073i q^{69} +(7.26837 - 3.42473i) q^{70} +(7.79122 + 1.54977i) q^{71} -2.88345i q^{72} +(-3.19568 + 16.0658i) q^{73} +(-2.18699 - 10.9947i) q^{74} +(-1.63494 + 0.490754i) q^{75} +(0.750101 - 1.81090i) q^{76} +(16.0051 - 6.62953i) q^{77} +(0.129356 + 0.650319i) q^{78} +(-16.8162 + 3.34495i) q^{79} +(1.32941 + 1.79797i) q^{80} +(-5.63182 - 5.63182i) q^{81} +(2.81015 + 4.20569i) q^{82} +(1.13744 - 2.74602i) q^{83} +1.22674 q^{84} +(-1.36703 - 9.11763i) q^{85} +4.98776 q^{86} +(0.325036 - 0.784706i) q^{87} +(2.67850 + 4.00866i) q^{88} +(9.67438 + 9.67438i) q^{89} +(6.37641 + 0.955348i) q^{90} +(6.84467 - 1.36149i) q^{91} +(0.305763 + 1.53717i) q^{92} +(2.39098 - 0.990375i) q^{93} +(2.00014 - 4.82876i) q^{94} +(3.75608 + 2.25875i) q^{95} +(0.0666039 + 0.334840i) q^{96} +(1.24592 - 6.26366i) q^{97} -5.91160i q^{98} +(13.6345 + 2.71207i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q+O(q^{10}) \) 32 * q	\( 32 q + 8 q^{10} - 40 q^{15} + 16 q^{18} + 8 q^{20} - 8 q^{25} + 8 q^{26} - 72 q^{27} + 8 q^{28} + 8 q^{29} - 16 q^{31} - 64 q^{33} - 24 q^{34} + 32 q^{35} + 16 q^{37} + 32 q^{39} - 8 q^{40} + 16 q^{41} - 40 q^{42} + 48 q^{43} + 16 q^{44} + 24 q^{45} - 64 q^{47} + 16 q^{49} + 32 q^{50} + 32 q^{51} - 16 q^{52} - 24 q^{54} + 8 q^{55} + 8 q^{56} - 8 q^{57} - 16 q^{58} + 64 q^{59} - 48 q^{60} - 24 q^{61} - 24 q^{62} - 24 q^{63} - 16 q^{65} - 16 q^{67} - 16 q^{68} + 24 q^{70} + 8 q^{71} + 16 q^{73} - 8 q^{74} - 8 q^{75} + 40 q^{77} + 48 q^{78} - 72 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} - 8 q^{85} - 64 q^{86} + 24 q^{87} + 16 q^{88} - 16 q^{89} + 48 q^{90} + 48 q^{91} + 8 q^{92} + 8 q^{93} - 8 q^{94} + 40 q^{95} + 16 q^{97} + 64 q^{99}+O(q^{100}) \) 32 * q + 8 * q^10 - 40 * q^15 + 16 * q^18 + 8 * q^20 - 8 * q^25 + 8 * q^26 - 72 * q^27 + 8 * q^28 + 8 * q^29 - 16 * q^31 - 64 * q^33 - 24 * q^34 + 32 * q^35 + 16 * q^37 + 32 * q^39 - 8 * q^40 + 16 * q^41 - 40 * q^42 + 48 * q^43 + 16 * q^44 + 24 * q^45 - 64 * q^47 + 16 * q^49 + 32 * q^50 + 32 * q^51 - 16 * q^52 - 24 * q^54 + 8 * q^55 + 8 * q^56 - 8 * q^57 - 16 * q^58 + 64 * q^59 - 48 * q^60 - 24 * q^61 - 24 * q^62 - 24 * q^63 - 16 * q^65 - 16 * q^67 - 16 * q^68 + 24 * q^70 + 8 * q^71 + 16 * q^73 - 8 * q^74 - 8 * q^75 + 40 * q^77 + 48 * q^78 - 72 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 - 8 * q^85 - 64 * q^86 + 24 * q^87 + 16 * q^88 - 16 * q^89 + 48 * q^90 + 48 * q^91 + 8 * q^92 + 8 * q^93 - 8 * q^94 + 40 * q^95 + 16 * q^97 + 64 * q^99

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