LMFDB - Embedded newform 170.2.o.a.63.1

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			63.1
Character	$\chi$	$=$	170.63
Dual form			170.2.o.a.27.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.923880 + 0.382683i) q^{2} +(-3.22346 - 0.641185i) q^{3} +(0.707107 + 0.707107i) q^{4} +(2.10251 - 0.761213i) q^{5} +(-2.73271 - 1.82594i) q^{6} +(1.37046 - 2.05104i) q^{7} +(0.382683 + 0.923880i) q^{8} +(7.20792 + 2.98562i) q^{9} +O(q^{10})$	\(q+(0.923880 + 0.382683i) q^{2} +(-3.22346 - 0.641185i) q^{3} +(0.707107 + 0.707107i) q^{4} +(2.10251 - 0.761213i) q^{5} +(-2.73271 - 1.82594i) q^{6} +(1.37046 - 2.05104i) q^{7} +(0.382683 + 0.923880i) q^{8} +(7.20792 + 2.98562i) q^{9} +(2.23377 + 0.101327i) q^{10} +(2.38522 - 3.56973i) q^{11} +(-1.82594 - 2.73271i) q^{12} -1.04167i q^{13} +(2.05104 - 1.37046i) q^{14} +(-7.26543 + 1.10564i) q^{15} +1.00000i q^{16} +(-3.07201 + 2.75005i) q^{17} +(5.51670 + 5.51670i) q^{18} +(-2.96706 + 1.22900i) q^{19} +(2.02496 + 0.948441i) q^{20} +(-5.73272 + 5.73272i) q^{21} +(3.56973 - 2.38522i) q^{22} +(0.147204 + 0.740046i) q^{23} +(-0.641185 - 3.22346i) q^{24} +(3.84111 - 3.20092i) q^{25} +(0.398630 - 0.962378i) q^{26} +(-13.1219 - 8.76779i) q^{27} +(2.41937 - 0.481242i) q^{28} +(0.174252 + 0.0346608i) q^{29} +(-7.13549 - 1.75888i) q^{30} +(4.06364 + 6.08166i) q^{31} +(-0.382683 + 0.923880i) q^{32} +(-9.97751 + 9.97751i) q^{33} +(-3.89056 + 1.36510i) q^{34} +(1.32013 - 5.35555i) q^{35} +(2.98562 + 7.20792i) q^{36} +(0.251498 - 1.26436i) q^{37} -3.21153 q^{38} +(-0.667904 + 3.35778i) q^{39} +(1.50787 + 1.65116i) q^{40} +(-5.98908 + 1.19130i) q^{41} +(-7.49016 + 3.10253i) q^{42} +(-3.23724 + 1.34091i) q^{43} +(4.21079 - 0.837577i) q^{44} +(17.4274 + 0.790530i) q^{45} +(-0.147204 + 0.740046i) q^{46} -1.87553 q^{47} +(0.641185 - 3.22346i) q^{48} +(0.350182 + 0.845413i) q^{49} +(4.77366 - 1.48734i) q^{50} +(11.6658 - 6.89493i) q^{51} +(0.736573 - 0.736573i) q^{52} +(1.33190 - 3.21548i) q^{53} +(-8.76779 - 13.1219i) q^{54} +(2.29762 - 9.32106i) q^{55} +(2.41937 + 0.481242i) q^{56} +(10.3522 - 2.05918i) q^{57} +(0.147723 + 0.0987056i) q^{58} +(-3.48263 + 8.40781i) q^{59} +(-5.91924 - 4.35563i) q^{60} +(-1.70566 - 8.57493i) q^{61} +(1.42696 + 7.17381i) q^{62} +(16.0018 - 10.6921i) q^{63} +(-0.707107 + 0.707107i) q^{64} +(-0.792934 - 2.19012i) q^{65} +(-13.0362 + 5.39979i) q^{66} +(11.5185 + 11.5185i) q^{67} +(-4.11682 - 0.227662i) q^{68} -2.47989i q^{69} +(3.26912 - 4.44269i) q^{70} +(-7.90097 + 5.27926i) q^{71} +7.80179i q^{72} +(5.61026 + 8.39634i) q^{73} +(0.716204 - 1.07188i) q^{74} +(-14.4340 + 7.85516i) q^{75} +(-2.96706 - 1.22900i) q^{76} +(-4.05281 - 9.78436i) q^{77} +(-1.90203 + 2.84659i) q^{78} +(-4.62906 - 3.09304i) q^{79} +(0.761213 + 2.10251i) q^{80} +(20.1261 + 20.1261i) q^{81} +(-5.98908 - 1.19130i) q^{82} +(-5.58451 - 2.31318i) q^{83} -8.10729 q^{84} +(-4.36556 + 8.12046i) q^{85} -3.50396 q^{86} +(-0.539469 - 0.223455i) q^{87} +(4.21079 + 0.837577i) q^{88} +(-1.46932 - 1.46932i) q^{89} +(15.7983 + 7.39954i) q^{90} +(-2.13651 - 1.42757i) q^{91} +(-0.419203 + 0.627381i) q^{92} +(-9.19949 - 22.2095i) q^{93} +(-1.73276 - 0.717734i) q^{94} +(-5.30276 + 4.84255i) q^{95} +(1.82594 - 2.73271i) q^{96} +(-0.783232 - 1.17219i) q^{97} +0.915068i q^{98} +(27.8503 - 18.6090i) 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 $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.923880	+	0.382683i	0.653281	+	0.270598i
$2$	0.923880	+	0.382683i	0.653281	+	0.270598i
$3$	−3.22346	−	0.641185i	−1.86106	−	0.370189i	−0.868885	−	0.495014i	$-0.835163\pi$
$3$	−3.22346	−	0.641185i	−1.86106	−	0.370189i	−0.992179	+	0.124826i	$0.960163\pi$
$4$	0.707107	+	0.707107i	0.353553	+	0.353553i
$5$	2.10251	−	0.761213i	0.940272	−	0.340425i
$5$	2.10251	−	0.761213i	0.940272	−	0.340425i
$6$	−2.73271	−	1.82594i	−1.11563	−	0.745438i
$7$	1.37046	−	2.05104i	0.517986	−	0.775220i	−0.476602	−	0.879119i	$-0.658132\pi$
$7$	1.37046	−	2.05104i	0.517986	−	0.775220i	0.994588	+	0.103899i	$0.0331318\pi$
$8$	0.382683	+	0.923880i	0.135299	+	0.326641i
$9$	7.20792	+	2.98562i	2.40264	+	0.995205i
$10$	2.23377	+	0.101327i	0.706380	+	0.0320423i
$11$	2.38522	−	3.56973i	0.719170	−	1.07631i	−0.274235	−	0.961663i	$-0.588425\pi$
$11$	2.38522	−	3.56973i	0.719170	−	1.07631i	0.993406	−	0.114652i	$-0.0365753\pi$
$12$	−1.82594	−	2.73271i	−0.527104	−	0.788867i
$13$		−	1.04167i		−	0.288908i	−0.989512	−	0.144454i	$-0.953858\pi$
$13$		−	1.04167i		−	0.288908i	0.989512	−	0.144454i	$-0.0461425\pi$
$14$	2.05104	−	1.37046i	0.548164	−	0.366271i
$15$	−7.26543	+	1.10564i	−1.87593	+	0.285475i
$16$			1.00000i			0.250000i
$17$	−3.07201	+	2.75005i	−0.745072	+	0.666984i
$17$	−3.07201	+	2.75005i	−0.745072	+	0.666984i
$18$	5.51670	+	5.51670i	1.30030	+	1.30030i
$19$	−2.96706	+	1.22900i	−0.680691	+	0.281952i	−0.696116	−	0.717929i	$-0.745090\pi$
$19$	−2.96706	+	1.22900i	−0.680691	+	0.281952i	0.0154246	+	0.999881i	$0.495090\pi$
$20$	2.02496	+	0.948441i	0.452795	+	0.212078i
$21$	−5.73272	+	5.73272i	−1.25098	+	1.25098i
$22$	3.56973	−	2.38522i	0.761069	−	0.508530i
$23$	0.147204	+	0.740046i	0.0306942	+	0.154310i	0.993093	−	0.117331i	$-0.0374337\pi$
$23$	0.147204	+	0.740046i	0.0306942	+	0.154310i	−0.962399	+	0.271641i	$0.912434\pi$
$24$	−0.641185	−	3.22346i	−0.130881	−	0.657985i
$25$	3.84111	−	3.20092i	0.768222	−	0.640184i
$26$	0.398630	−	0.962378i	0.0781778	−	0.188738i
$27$	−13.1219	−	8.76779i	−2.52532	−	1.68736i
$28$	2.41937	−	0.481242i	0.457217	−	0.0909462i
$29$	0.174252	+	0.0346608i	0.0323577	+	0.00643635i	0.211243	−	0.977434i	$-0.432249\pi$
$29$	0.174252	+	0.0346608i	0.0323577	+	0.00643635i	−0.178885	+	0.983870i	$0.557249\pi$
$30$	−7.13549	−	1.75888i	−1.30276	−	0.321127i
$31$	4.06364	+	6.08166i	0.729851	+	1.09230i	0.991872	+	0.127237i	$0.0406109\pi$
$31$	4.06364	+	6.08166i	0.729851	+	1.09230i	−0.262021	+	0.965062i	$0.584389\pi$
$32$	−0.382683	+	0.923880i	−0.0676495	+	0.163320i
$33$	−9.97751	+	9.97751i	−1.73686	+	1.73686i
$34$	−3.89056	+	1.36510i	−0.667226	+	0.234114i
$35$	1.32013	−	5.35555i	0.223143	−	0.905253i
$36$	2.98562	+	7.20792i	0.497603	+	1.20132i
$37$	0.251498	−	1.26436i	0.0413459	−	0.207860i	−0.954590	−	0.297922i	$-0.903706\pi$
$37$	0.251498	−	1.26436i	0.0413459	−	0.207860i	0.995936	+	0.0900619i	$0.0287065\pi$
$38$	−3.21153			−0.520979
$39$	−0.667904	+	3.35778i	−0.106950	+	0.537675i
$40$	1.50787	+	1.65116i	0.238415	+	0.261072i
$41$	−5.98908	+	1.19130i	−0.935337	+	0.186050i	−0.639152	−	0.769080i	$-0.720715\pi$
$41$	−5.98908	+	1.19130i	−0.935337	+	0.186050i	−0.296185	+	0.955131i	$0.595715\pi$
$42$	−7.49016	+	3.10253i	−1.15576	+	0.478730i
$43$	−3.23724	+	1.34091i	−0.493674	+	0.204486i	−0.615609	−	0.788052i	$-0.711090\pi$
$43$	−3.23724	+	1.34091i	−0.493674	+	0.204486i	0.121935	+	0.992538i	$0.461090\pi$
$44$	4.21079	−	0.837577i	0.634800	−	0.126270i
$45$	17.4274	+	0.790530i	2.59793	+	0.117845i
$46$	−0.147204	+	0.740046i	−0.0217041	+	0.109114i
$47$	−1.87553			−0.273574			−0.136787	−	0.990600i	$-0.543678\pi$
$47$	−1.87553			−0.273574			−0.136787	+	0.990600i	$0.543678\pi$
$48$	0.641185	−	3.22346i	0.0925471	−	0.465266i
$49$	0.350182	+	0.845413i	0.0500259	+	0.120773i
$50$	4.77366	−	1.48734i	0.675097	−	0.210341i
$51$	11.6658	−	6.89493i	1.63354	−	0.965483i
$52$	0.736573	−	0.736573i	0.102144	−	0.102144i
$53$	1.33190	−	3.21548i	0.182950	−	0.441680i	−0.805622	−	0.592430i	$-0.798169\pi$
$53$	1.33190	−	3.21548i	0.182950	−	0.441680i	0.988572	+	0.150750i	$0.0481688\pi$
$54$	−8.76779	−	13.1219i	−1.19315	−	1.78567i
$55$	2.29762	−	9.32106i	0.309811	−	1.25685i
$56$	2.41937	+	0.481242i	0.323302	+	0.0643087i
$57$	10.3522	−	2.05918i	1.37118	−	0.272746i
$58$	0.147723	+	0.0987056i	0.0193970	+	0.0129607i
$59$	−3.48263	+	8.40781i	−0.453400	+	1.09460i	0.517621	+	0.855610i	$0.326818\pi$
$59$	−3.48263	+	8.40781i	−0.453400	+	1.09460i	−0.971021	+	0.238994i	$0.923182\pi$
$60$	−5.91924	−	4.35563i	−0.764171	−	0.562310i
$61$	−1.70566	−	8.57493i	−0.218387	−	1.09791i	−0.921960	−	0.387284i	$-0.873413\pi$
$61$	−1.70566	−	8.57493i	−0.218387	−	1.09791i	0.703573	−	0.710623i	$-0.251587\pi$
$62$	1.42696	+	7.17381i	0.181224	+	0.911075i
$63$	16.0018	−	10.6921i	2.01604	−	1.34707i
$64$	−0.707107	+	0.707107i	−0.0883883	+	0.0883883i
$65$	−0.792934	−	2.19012i	−0.0983514	−	0.271652i
$66$	−13.0362	+	5.39979i	−1.60465	+	0.664668i
$67$	11.5185	+	11.5185i	1.40721	+	1.40721i	0.773909	+	0.633297i	$0.218299\pi$
$67$	11.5185	+	11.5185i	1.40721	+	1.40721i	0.633297	+	0.773909i	$0.281701\pi$
$68$	−4.11682	−	0.227662i	−0.499237	−	0.0276081i
$69$		−	2.47989i		−	0.298544i
$70$	3.26912	−	4.44269i	0.390735	−	0.531003i
$71$	−7.90097	+	5.27926i	−0.937672	+	0.626532i	−0.927663	−	0.373417i	$-0.878186\pi$
$71$	−7.90097	+	5.27926i	−0.937672	+	0.626532i	−0.0100087	+	0.999950i	$0.503186\pi$
$72$			7.80179i			0.919450i
$73$	5.61026	+	8.39634i	0.656631	+	0.982718i	0.999067	+	0.0431767i	$0.0137479\pi$
$73$	5.61026	+	8.39634i	0.656631	+	0.982718i	−0.342436	+	0.939541i	$0.611252\pi$
$74$	0.716204	−	1.07188i	0.0832571	−	0.124603i
$75$	−14.4340	+	7.85516i	−1.66670	+	0.907036i
$76$	−2.96706	−	1.22900i	−0.340346	−	0.140976i
$77$	−4.05281	−	9.78436i	−0.461861	−	1.11503i
$78$	−1.90203	+	2.84659i	−0.215363	+	0.322313i
$79$	−4.62906	−	3.09304i	−0.520810	−	0.347994i	0.267215	−	0.963637i	$-0.413897\pi$
$79$	−4.62906	−	3.09304i	−0.520810	−	0.347994i	−0.788025	+	0.615643i	$0.788897\pi$
$80$	0.761213	+	2.10251i	0.0851063	+	0.235068i
$81$	20.1261	+	20.1261i	2.23623	+	2.23623i
$82$	−5.98908	−	1.19130i	−0.661383	−	0.131557i
$83$	−5.58451	−	2.31318i	−0.612979	−	0.253904i	0.0545225	−	0.998513i	$-0.482636\pi$
$83$	−5.58451	−	2.31318i	−0.612979	−	0.253904i	−0.667502	+	0.744608i	$0.732636\pi$
$84$	−8.10729			−0.884578
$85$	−4.36556	+	8.12046i	−0.473512	+	0.880788i
$86$	−3.50396			−0.377842
$87$	−0.539469	−	0.223455i	−0.0578371	−	0.0239569i
$88$	4.21079	+	0.837577i	0.448871	+	0.0892860i
$89$	−1.46932	−	1.46932i	−0.155748	−	0.155748i	0.624932	−	0.780679i	$-0.285127\pi$
$89$	−1.46932	−	1.46932i	−0.155748	−	0.155748i	−0.780679	+	0.624932i	$0.785127\pi$
$90$	15.7983	+	7.39954i	1.66529	+	0.779980i
$91$	−2.13651	−	1.42757i	−0.223967	−	0.149650i
$92$	−0.419203	+	0.627381i	−0.0437049	+	0.0654090i
$93$	−9.19949	−	22.2095i	−0.953942	−	2.30302i
$94$	−1.73276	−	0.717734i	−0.178721	−	0.0740286i
$95$	−5.30276	+	4.84255i	−0.544051	+	0.496835i
$96$	1.82594	−	2.73271i	0.186359	−	0.278907i
$97$	−0.783232	−	1.17219i	−0.0795251	−	0.119018i	0.789575	−	0.613654i	$-0.210301\pi$
$97$	−0.783232	−	1.17219i	−0.0795251	−	0.119018i	−0.869100	+	0.494637i	$0.835301\pi$
$98$			0.915068i			0.0924359i
$99$	27.8503	−	18.6090i	2.79906	−	1.87027i
$100$	4.97947	+	0.452681i	0.497947	+	0.0452681i
$101$		−	12.0221i		−	1.19624i	−0.801407	−	0.598120i	$-0.795915\pi$
$101$		−	12.0221i		−	1.19624i	0.801407	−	0.598120i	$-0.204085\pi$
$102$	13.4163	−	1.90578i	1.32842	−	0.188701i
$103$	11.0836	+	11.0836i	1.09209	+	1.09209i	0.995305	+	0.0967899i	$0.0308575\pi$
$103$	11.0836	+	11.0836i	1.09209	+	1.09209i	0.0967899	+	0.995305i	$0.469143\pi$
$104$	0.962378	−	0.398630i	0.0943690	−	0.0390889i
$105$	−7.68929	+	16.4169i	−0.750397	+	1.60213i
$106$	2.46102	−	2.46102i	0.239036	−	0.239036i
$107$	−11.5793	+	7.73704i	−1.11941	+	0.747968i	−0.970552	−	0.240890i	$-0.922561\pi$
$107$	−11.5793	+	7.73704i	−1.11941	+	0.747968i	−0.148861	+	0.988858i	$0.547561\pi$
$108$	−3.07884	−	15.4784i	−0.296261	−	1.48941i
$109$	−0.110176	−	0.553893i	−0.0105530	−	0.0530533i	0.975150	−	0.221546i	$-0.0711102\pi$
$109$	−0.110176	−	0.553893i	−0.0105530	−	0.0530533i	−0.985703	+	0.168492i	$0.946110\pi$
$110$	5.68974	−	7.73228i	0.542495	−	0.737244i
$111$	−1.62138	+	3.91436i	−0.153895	+	0.371535i
$112$	2.05104	+	1.37046i	0.193805	+	0.129496i
$113$	−14.3282	+	2.85006i	−1.34789	+	0.268111i	−0.815680	−	0.578504i	$-0.803637\pi$
$113$	−14.3282	+	2.85006i	−1.34789	+	0.268111i	−0.532206	+	0.846615i	$0.678637\pi$
$114$	10.3522	+	2.05918i	0.969574	+	0.192860i
$115$	0.872832	+	1.44390i	0.0813920	+	0.134645i
$116$	0.0987056	+	0.147723i	0.00916459	+	0.0137158i
$117$	3.11003	−	7.50828i	0.287522	−	0.694140i
$118$	−6.43506	+	6.43506i	−0.592395	+	0.592395i
$119$	1.43039	+	10.0696i	0.131123	+	0.923083i
$120$	−3.80184	−	6.28928i	−0.347059	−	0.574130i
$121$	−2.84420	−	6.86650i	−0.258563	−	0.624227i
$122$	1.70566	−	8.57493i	0.154423	−	0.776337i
$123$	20.0694			1.80960
$124$	−1.42696	+	7.17381i	−0.128145	+	0.644227i
$125$	5.63939	−	9.65387i	0.504402	−	0.863469i
$126$	18.8754	−	3.75455i	1.68155	−	0.334482i
$127$	10.9536	−	4.53714i	0.971977	−	0.402606i	0.160529	−	0.987031i	$-0.448680\pi$
$127$	10.9536	−	4.53714i	0.971977	−	0.402606i	0.811448	+	0.584425i	$0.198680\pi$
$128$	−0.923880	+	0.382683i	−0.0816602	+	0.0338248i
$129$	11.2949	−	2.24669i	0.994457	−	0.197810i
$130$	0.105549	−	2.32685i	0.00925727	−	0.204079i
$131$	3.44233	−	17.3058i	0.300758	−	1.51201i	−0.474436	−	0.880290i	$-0.657348\pi$
$131$	3.44233	−	17.3058i	0.300758	−	1.51201i	0.775194	−	0.631723i	$-0.217652\pi$
$132$	−14.1103			−1.22815
$133$	−1.54552	+	7.76986i	−0.134014	+	0.673733i
$134$	6.23375	+	15.0496i	0.538514	+	1.30009i
$135$	−34.2632	−	8.44579i	−2.94890	−	0.726898i
$136$	−3.71632	−	1.78577i	−0.318672	−	0.153128i
$137$	−4.78970	+	4.78970i	−0.409211	+	0.409211i	−0.881463	−	0.472252i	$-0.843441\pi$
$137$	−4.78970	+	4.78970i	−0.409211	+	0.409211i	0.472252	+	0.881463i	$0.343441\pi$
$138$	0.949014	−	2.29112i	0.0807854	−	0.195033i
$139$	−4.53342	−	6.78474i	−0.384519	−	0.575474i	0.587836	−	0.808980i	$-0.299980\pi$
$139$	−4.53342	−	6.78474i	−0.384519	−	0.575474i	−0.972355	+	0.233506i	$0.924980\pi$
$140$	4.72042	−	2.85347i	0.398948	−	0.241162i
$141$	6.04569	+	1.20256i	0.509139	+	0.101274i
$142$	−9.31982	+	1.85383i	−0.782102	+	0.155570i
$143$	−3.71849	−	2.48461i	−0.310955	−	0.207774i
$144$	−2.98562	+	7.20792i	−0.248801	+	0.600660i
$145$	0.392750	−	0.0597679i	0.0326161	−	0.00496346i
$146$	1.97006	+	9.90416i	0.163043	+	0.819674i
$147$	−0.586729	−	2.94968i	−0.0483926	−	0.243286i
$148$	1.07188	−	0.716204i	0.0881076	−	0.0588716i
$149$	−11.2518	+	11.2518i	−0.921782	+	0.921782i	−0.997155	−	0.0753737i	$-0.975985\pi$
$149$	−11.2518	+	11.2518i	−0.921782	+	0.921782i	0.0753737	+	0.997155i	$0.475985\pi$
$150$	−16.3413	+	1.73356i	−1.33427	+	0.141545i
$151$	6.53680	−	2.70763i	0.531957	−	0.220344i	−0.100503	−	0.994937i	$-0.532045\pi$
$151$	6.53680	−	2.70763i	0.531957	−	0.220344i	0.632460	+	0.774593i	$0.282045\pi$
$152$	−2.27089	−	2.27089i	−0.184194	−	0.184194i
$153$	−30.3534	+	10.6503i	−2.45392	+	0.861023i
$154$		−	10.5905i		−	0.853408i
$155$	13.1733	+	9.69347i	1.05810	+	0.778598i
$156$	−2.84659	+	1.90203i	−0.227910	+	0.152284i
$157$		−	0.0156345i		−	0.00124777i	−1.00000		0.000623886i	$-0.999801\pi$
$157$		−	0.0156345i		−	0.00124777i	1.00000		0.000623886i	$-0.000198589\pi$
$158$	−3.09304	−	4.62906i	−0.246069	−	0.368268i
$159$	−6.35502	+	9.51097i	−0.503986	+	0.754269i
$160$	−0.101327	+	2.23377i	−0.00801058	+	0.176595i
$161$	1.71960	+	0.712283i	0.135524	+	0.0561358i
$162$	10.8922	+	26.2960i	0.855769	+	2.06601i
$163$	2.77592	−	4.15446i	0.217427	−	0.325403i	−0.706682	−	0.707531i	$-0.749809\pi$
$163$	2.77592	−	4.15446i	0.217427	−	0.325403i	0.924109	+	0.382129i	$0.124809\pi$
$164$	−5.07730	−	3.39254i	−0.396470	−	0.264913i
$165$	−13.3828	+	28.5728i	−1.04185	+	2.22439i
$166$	−4.27420	−	4.27420i	−0.331742	−	0.331742i
$167$	−2.73050	−	0.543131i	−0.211293	−	0.0420288i	0.0883088	−	0.996093i	$-0.471854\pi$
$167$	−2.73050	−	0.543131i	−0.211293	−	0.0420288i	−0.299602	+	0.954064i	$0.596854\pi$
$168$	−7.49016	−	3.10253i	−0.577878	−	0.239365i
$169$	11.9149			0.916532
$170$	−7.14082	+	5.83170i	−0.547676	+	0.447271i
$171$	−25.0557			−1.91605
$172$	−3.23724	−	1.34091i	−0.246837	−	0.102243i
$173$	16.0178	+	3.18614i	1.21781	+	0.242238i	0.761845	−	0.647760i	$-0.224294\pi$
$173$	16.0178	+	3.18614i	1.21781	+	0.242238i	0.455966	+	0.889997i	$0.349294\pi$
$174$	−0.412891	−	0.412891i	−0.0313012	−	0.0313012i
$175$	−1.30113	−	12.2650i	−0.0983559	−	0.927147i
$176$	3.56973	+	2.38522i	0.269079	+	0.179793i
$177$	16.6171	−	24.8692i	1.24902	−	1.86928i
$178$	−0.795190	−	1.91976i	−0.0596020	−	0.143892i
$179$	−6.03358	−	2.49919i	−0.450971	−	0.186798i	0.145625	−	0.989340i	$-0.453481\pi$
$179$	−6.03358	−	2.49919i	−0.450971	−	0.186798i	−0.596596	+	0.802542i	$0.703481\pi$
$180$	11.7641	+	12.8820i	0.876841	+	0.960170i
$181$	−0.529505	+	0.792460i	−0.0393578	+	0.0589031i	−0.850627	−	0.525770i	$-0.823777\pi$
$181$	−0.529505	+	0.792460i	−0.0393578	+	0.0589031i	0.811269	+	0.584673i	$0.198777\pi$
$182$	−1.42757	−	2.13651i	−0.105819	−	0.158369i
$183$			28.7345i			2.12412i
$184$	−0.627381	+	0.419203i	−0.0462511	+	0.0309040i
$185$	−0.433674	−	2.84978i	−0.0318844	−	0.209520i
$186$		−	24.0394i		−	1.76266i
$187$	2.48952	+	17.5257i	0.182051	+	1.28161i
$188$	−1.32620	−	1.32620i	−0.0967230	−	0.0967230i
$189$	−35.9662	+	14.8977i	−2.61616	+	1.08365i
$190$	−6.75227	+	2.44466i	−0.489861	+	0.177354i
$191$	2.14623	−	2.14623i	0.155296	−	0.155296i	−0.625183	−	0.780479i	$-0.714975\pi$
$191$	2.14623	−	2.14623i	0.155296	−	0.155296i	0.780479	+	0.625183i	$0.214975\pi$
$192$	2.73271	−	1.82594i	0.197217	−	0.131776i
$193$	−0.923400	−	4.64225i	−0.0664678	−	0.334156i	0.933216	−	0.359317i	$-0.116990\pi$
$193$	−0.923400	−	4.64225i	−0.0664678	−	0.334156i	−0.999683	+	0.0251607i	$0.991990\pi$
$194$	−0.275034	−	1.38269i	−0.0197463	−	0.0992714i
$195$	1.15171	+	7.56819i	0.0824758	+	0.541969i
$196$	−0.350182	+	0.845413i	−0.0250130	+	0.0603866i
$197$	2.40879	+	1.60950i	0.171619	+	0.114672i	0.638413	−	0.769694i	$-0.279591\pi$
$197$	2.40879	+	1.60950i	0.171619	+	0.114672i	−0.466794	+	0.884366i	$0.654591\pi$
$198$	32.8517	−	6.53460i	2.33467	−	0.464394i
$199$	2.30273	+	0.458041i	0.163236	+	0.0324697i	0.276032	−	0.961149i	$-0.410981\pi$
$199$	2.30273	+	0.458041i	0.163236	+	0.0324697i	−0.112796	+	0.993618i	$0.535981\pi$
$200$	4.42719	+	2.32378i	0.313050	+	0.164316i
$201$	−29.7438	−	44.5148i	−2.09797	−	3.13983i
$202$	4.60064	−	11.1069i	0.323700	−	0.781481i
$203$	0.309896	−	0.309896i	0.0217504	−	0.0217504i
$204$	13.1244	+	3.37350i	0.918892	+	0.236192i
$205$	−11.6853	+	7.06370i	−0.816135	+	0.493350i
$206$	5.99837	+	14.4814i	0.417927	+	1.00896i
$207$	−1.14846	+	5.77369i	−0.0798233	+	0.401299i
$208$	1.04167			0.0722269
$209$	−2.68990	+	13.5231i	−0.186064	+	0.935409i
$210$	−13.3865	+	12.2247i	−0.923754	+	0.843585i
$211$	−9.17525	+	1.82507i	−0.631650	+	0.125643i	−0.500524	−	0.865723i	$-0.666859\pi$
$211$	−9.17525	+	1.82507i	−0.631650	+	0.125643i	−0.131126	+	0.991366i	$0.541859\pi$
$212$	3.21548	−	1.33190i	0.220840	−	0.0914749i
$213$	28.8534	−	11.9515i	1.97700	−	0.818901i
$214$	−13.6587	+	2.71689i	−0.933691	+	0.185723i
$215$	−5.78561	+	5.28350i	−0.394575	+	0.360332i
$216$	3.07884	−	15.4784i	0.209488	−	1.05317i
$217$	18.0428			1.22482
$218$	0.110176	−	0.553893i	0.00746207	−	0.0375144i
$219$	−12.7008	−	30.6625i	−0.858241	−	2.07198i
$220$	8.21565	−	4.96632i	0.553899	−	0.334829i
$221$	2.86464	+	3.20002i	0.192697	+	0.215257i
$222$	−2.99592	+	2.99592i	−0.201073	+	0.201073i
$223$	9.07674	−	21.9132i	0.607823	−	1.46742i	−0.257538	−	0.966268i	$-0.582911\pi$
$223$	9.07674	−	21.9132i	0.607823	−	1.46742i	0.865362	−	0.501148i	$-0.167089\pi$
$224$	1.37046	+	2.05104i	0.0915678	+	0.137041i
$225$	37.2431	−	11.6039i	2.48287	−	0.773592i
$226$	−14.3282	−	2.85006i	−0.953099	−	0.189583i
$227$	9.55091	−	1.89979i	0.633916	−	0.126094i	0.132336	−	0.991205i	$-0.457752\pi$
$227$	9.55091	−	1.89979i	0.633916	−	0.126094i	0.501580	+	0.865111i	$0.332752\pi$
$228$	8.77619	+	5.86406i	0.581217	+	0.388357i
$229$	4.82856	−	11.6572i	0.319080	−	0.770328i	−0.680223	−	0.733005i	$-0.738117\pi$
$229$	4.82856	−	11.6572i	0.319080	−	0.770328i	0.999303	−	0.0373226i	$-0.0118829\pi$
$230$	0.253834	+	1.66801i	0.0167373	+	0.109985i
$231$	6.79048	+	34.1381i	0.446781	+	2.24612i
$232$	0.0346608	+	0.174252i	0.00227559	+	0.0114402i
$233$	3.94399	−	2.63529i	0.258380	−	0.172644i	−0.419633	−	0.907694i	$-0.637841\pi$
$233$	3.94399	−	2.63529i	0.258380	−	0.172644i	0.678013	+	0.735050i	$0.262841\pi$
$234$	5.74659	−	5.74659i	0.375666	−	0.375666i
$235$	−3.94332	+	1.42768i	−0.257234	+	0.0931315i
$236$	−8.40781	+	3.48263i	−0.547302	+	0.226700i
$237$	12.9384	+	12.9384i	0.840437	+	0.840437i
$238$	−2.53198	+	9.85053i	−0.164124	+	0.638515i
$239$		−	15.1242i		−	0.978303i	−0.872199	−	0.489152i	$-0.837306\pi$
$239$		−	15.1242i		−	0.978303i	0.872199	−	0.489152i	$-0.162694\pi$
$240$	−1.10564	−	7.26543i	−0.0713687	−	0.468982i
$241$	−12.5725	+	8.40070i	−0.809868	+	0.541137i	−0.890167	−	0.455634i	$-0.849412\pi$
$241$	−12.5725	+	8.40070i	−0.809868	+	0.541137i	0.0802990	+	0.996771i	$0.474412\pi$
$242$		−	7.43225i		−	0.477763i
$243$	−25.6676	−	38.4143i	−1.64658	−	2.46428i
$244$	4.85731	−	7.26947i	0.310957	−	0.465380i
$245$	1.37980	+	1.51093i	0.0881522	+	0.0965296i
$246$	18.5417	+	7.68022i	1.18218	+	0.489673i
$247$	1.28021	+	3.09070i	0.0814579	+	0.196657i
$248$	−4.06364	+	6.08166i	−0.258041	+	0.386186i
$249$	16.5182	+	11.0371i	1.04680	+	0.699450i
$250$	8.90449	−	6.76092i	0.563170	−	0.427598i
$251$	4.90333	+	4.90333i	0.309496	+	0.309496i	0.844714	−	0.535218i	$-0.179771\pi$
$251$	4.90333	+	4.90333i	0.309496	+	0.309496i	−0.535218	+	0.844714i	$0.679771\pi$
$252$	18.8754	+	3.75455i	1.18904	+	0.236514i
$253$	2.99288	+	1.23969i	0.188161	+	0.0779388i
$254$	11.8561			0.743919
$255$	19.2789	−	23.3768i	1.20729	−	1.46391i
$256$	−1.00000			−0.0625000
$257$	13.4189	+	5.55830i	0.837049	+	0.346717i	0.759689	−	0.650286i	$-0.225351\pi$
$257$	13.4189	+	5.55830i	0.837049	+	0.346717i	0.0773599	+	0.997003i	$0.475351\pi$
$258$	11.2949	+	2.24669i	0.703187	+	0.139873i
$259$	−2.24859	−	2.24859i	−0.139721	−	0.139721i
$260$	0.987963	−	2.10934i	0.0612709	−	0.130816i
$261$	1.15251	+	0.770081i	0.0713384	+	0.0476668i
$262$	9.80294	−	14.6711i	0.605627	−	0.906386i
$263$	−6.37786	−	15.3975i	−0.393276	−	0.949452i	−0.989221	−	0.146427i	$-0.953223\pi$
$263$	−6.37786	−	15.3975i	−0.393276	−	0.949452i	0.595945	−	0.803025i	$-0.296777\pi$
$264$	−13.0362	−	5.39979i	−0.802325	−	0.332334i
$265$	0.352658	−	7.77444i	0.0216636	−	0.477580i
$266$	−4.40127	+	6.58697i	−0.269859	+	0.403873i
$267$	3.79418	+	5.67840i	0.232200	+	0.347512i
$268$			16.2896i			0.995045i
$269$	−8.30103	+	5.54657i	−0.506123	+	0.338180i	−0.782275	−	0.622934i	$-0.785941\pi$
$269$	−8.30103	+	5.54657i	−0.506123	+	0.338180i	0.276152	+	0.961114i	$0.410941\pi$
$270$	−28.4230	−	20.9148i	−1.72977	−	1.27284i
$271$			25.8745i			1.57176i	0.618377	+	0.785881i	$0.287790\pi$
$271$			25.8745i			1.57176i	−0.618377	+	0.785881i	$0.712210\pi$
$272$	−2.75005	−	3.07201i	−0.166746	−	0.186268i
$273$	5.97161	+	5.97161i	0.361418	+	0.361418i
$274$	−6.25804	+	2.59216i	−0.378062	+	0.156598i
$275$	−2.26454	−	21.3466i	−0.136557	−	1.28725i
$276$	1.75355	−	1.75355i	0.105551	−	0.105551i
$277$	−21.0691	+	14.0779i	−1.26592	+	0.845860i	−0.993221	−	0.116239i	$-0.962916\pi$
$277$	−21.0691	+	14.0779i	−1.26592	+	0.845860i	−0.272698	+	0.962100i	$0.587916\pi$
$278$	−1.59192	−	8.00315i	−0.0954773	−	0.479997i
$279$	11.1328	+	55.9686i	0.666506	+	3.35075i
$280$	5.45307	−	0.829838i	0.325884	−	0.0495923i
$281$	7.32981	−	17.6957i	0.437260	−	1.05564i	−0.539631	−	0.841901i	$-0.681436\pi$
$281$	7.32981	−	17.6957i	0.437260	−	1.05564i	0.976891	−	0.213737i	$-0.0685636\pi$
$282$	5.12529	+	3.42461i	0.305206	+	0.203932i
$283$	5.55996	−	1.10594i	0.330505	−	0.0657416i	−0.0270485	−	0.999634i	$-0.508611\pi$
$283$	5.55996	−	1.10594i	0.330505	−	0.0657416i	0.357554	+	0.933893i	$0.383611\pi$
$284$	−9.31982	−	1.85383i	−0.553030	−	0.110004i
$285$	20.1982	−	12.2097i	1.19644	−	0.723241i
$286$	−2.48461	−	3.71849i	−0.146918	−	0.219879i
$287$	−5.76439	+	13.9165i	−0.340261	+	0.821464i
$288$	−5.51670	+	5.51670i	−0.325075	+	0.325075i
$289$	1.87449	−	16.8963i	0.110264	−	0.993902i
$290$	0.385726	+	0.0950806i	0.0226506	+	0.00558333i
$291$	1.77312	+	4.28070i	0.103942	+	0.250939i
$292$	−1.97006	+	9.90416i	−0.115289	+	0.579597i
$293$	−16.3318			−0.954112			−0.477056	−	0.878873i	$-0.658296\pi$
$293$	−16.3318			−0.954112			−0.477056	+	0.878873i	$0.658296\pi$
$294$	0.586729	−	2.94968i	0.0342187	−	0.172029i
$295$	−0.922129	+	20.3285i	−0.0536884	+	1.18357i
$296$	1.26436	−	0.251498i	0.0734896	−	0.0146180i
$297$	−62.5973	+	25.9287i	−3.63226	+	1.50453i
$298$	−14.7012	+	6.08942i	−0.851615	+	0.352751i
$299$	0.770885	−	0.153339i	0.0445814	−	0.00886780i
$300$	−15.7608	−	4.65196i	−0.909952	−	0.268581i
$301$	−1.68625	+	8.47736i	−0.0971940	+	0.488627i
$302$	7.07538			0.407142
$303$	−7.70837	+	38.7526i	−0.442834	+	2.22628i
$304$	−1.22900	−	2.96706i	−0.0704879	−	0.170173i
$305$	−10.1135	−	16.7305i	−0.579098	−	0.957986i
$306$	−32.1185	−	1.77617i	−1.83609	−	0.101537i
$307$	9.24486	−	9.24486i	0.527632	−	0.527632i	−0.392234	−	0.919866i	$-0.628297\pi$
$307$	9.24486	−	9.24486i	0.527632	−	0.527632i	0.919866	+	0.392234i	$0.128297\pi$
$308$	4.05281	−	9.78436i	0.230931	−	0.557516i
$309$	−28.6207	−	42.8340i	−1.62818	−	2.43674i
$310$	8.46100	+	13.9968i	0.480553	+	0.794965i
$311$	7.90851	+	1.57310i	0.448451	+	0.0892024i	0.414149	−	0.910209i	$-0.364079\pi$
$311$	7.90851	+	1.57310i	0.448451	+	0.0892024i	0.0343017	+	0.999412i	$0.489079\pi$
$312$	−3.35778	+	0.667904i	−0.190097	+	0.0378126i
$313$	2.53244	+	1.69212i	0.143142	+	0.0956444i	0.625079	−	0.780561i	$-0.285067\pi$
$313$	2.53244	+	1.69212i	0.143142	+	0.0956444i	−0.481937	+	0.876206i	$0.660067\pi$
$314$	0.00598308	−	0.0144444i	0.000337645	−	0.000815146i
$315$	25.5050	−	34.6609i	1.43704	−	1.95292i
$316$	−1.08613	−	5.46035i	−0.0610997	−	0.307169i
$317$	4.24156	+	21.3238i	0.238230	+	1.19766i	0.895865	+	0.444326i	$0.146557\pi$
$317$	4.24156	+	21.3238i	0.238230	+	1.19766i	−0.657636	+	0.753336i	$0.728443\pi$
$318$	−9.51097	+	6.35502i	−0.533348	+	0.356372i
$319$	0.539358	−	0.539358i	0.0301982	−	0.0301982i
$320$	−0.948441	+	2.02496i	−0.0530195	+	0.113199i
$321$	42.2863	−	17.5155i	2.36019	−	0.977622i
$322$	1.31613	+	1.31613i	0.0733449	+	0.0733449i
$323$	5.73505	−	11.9351i	0.319107	−	0.664085i
$324$			28.4626i			1.58125i
$325$	−3.33431	−	4.00117i	−0.184954	−	0.221945i
$326$	4.15446	−	2.77592i	0.230095	−	0.153744i
$327$			1.85609i			0.102642i
$328$	−3.39254	−	5.07730i	−0.187322	−	0.280347i
$329$	−2.57034	+	3.84679i	−0.141707	+	0.212080i
$330$	−23.2985	+	21.2765i	−1.28254	+	1.17123i
$331$	−2.33207	−	0.965973i	−0.128182	−	0.0530947i	0.317671	−	0.948201i	$-0.397099\pi$
$331$	−2.33207	−	0.965973i	−0.128182	−	0.0530947i	−0.445852	+	0.895106i	$0.647099\pi$
$332$	−2.31318	−	5.58451i	−0.126952	−	0.306490i
$333$	5.58768	−	8.36255i	0.306203	−	0.458265i
$334$	−2.31481	−	1.54671i	−0.126661	−	0.0846320i
$335$	32.9857	+	15.4497i	1.80220	+	0.844108i
$336$	−5.73272	−	5.73272i	−0.312746	−	0.312746i
$337$	−10.5596	−	2.10043i	−0.575216	−	0.114418i	−0.101094	−	0.994877i	$-0.532234\pi$
$337$	−10.5596	−	2.10043i	−0.575216	−	0.114418i	−0.474122	+	0.880459i	$0.657234\pi$
$338$	11.0080	+	4.55964i	0.598754	+	0.248012i
$339$	48.0138			2.60775
$340$	−8.82895	+	2.65511i	−0.478817	+	0.143994i
$341$	31.4026			1.70054
$342$	−23.1484	−	9.58839i	−1.25172	−	0.518481i
$343$	19.1495	+	3.80906i	1.03397	+	0.205670i
$344$	−2.47767	−	2.47767i	−0.133587	−	0.133587i
$345$	−1.88773	−	5.21400i	−0.101632	−	0.280712i
$346$	13.5792	+	9.07335i	0.730024	+	0.487786i
$347$	16.1690	−	24.1986i	0.867995	−	1.29905i	−0.0850989	−	0.996373i	$-0.527121\pi$
$347$	16.1690	−	24.1986i	0.867995	−	1.29905i	0.953094	−	0.302674i	$-0.0978794\pi$
$348$	−0.223455	−	0.539469i	−0.0119785	−	0.0289185i
$349$	−18.0300	−	7.46827i	−0.965124	−	0.399767i	−0.156229	−	0.987721i	$-0.549934\pi$
$349$	−18.0300	−	7.46827i	−0.965124	−	0.399767i	−0.808895	+	0.587953i	$0.799934\pi$
$350$	3.49153	−	11.8293i	0.186630	−	0.632303i
$351$	−9.13315	+	13.6687i	−0.487492	+	0.729583i
$352$	2.38522	+	3.56973i	0.127133	+	0.190267i
$353$		−	14.6737i		−	0.781000i	−0.920603	−	0.390500i	$-0.872302\pi$
$353$		−	14.6737i		−	0.781000i	0.920603	−	0.390500i	$-0.127698\pi$
$354$	24.8692	−	16.6171i	1.32178	−	0.883187i
$355$	−12.5932	+	17.1140i	−0.668379	+	0.908318i
$356$		−	2.07793i		−	0.110130i
$357$	1.84572	−	33.3762i	0.0976860	−	1.76646i
$358$	−4.61790	−	4.61790i	−0.244064	−	0.244064i
$359$	14.1591	−	5.86488i	0.747288	−	0.309537i	0.0236532	−	0.999720i	$-0.492470\pi$
$359$	14.1591	−	5.86488i	0.747288	−	0.309537i	0.723634	+	0.690184i	$0.242470\pi$
$360$	5.93883	+	16.4034i	0.313004	+	0.864533i
$361$	−6.14199	+	6.14199i	−0.323263	+	0.323263i
$362$	−0.792460	+	0.529505i	−0.0416508	+	0.0278302i
$363$	4.76545	+	23.9575i	0.250121	+	1.25744i
$364$	−0.501296	−	2.52018i	−0.0262750	−	0.132094i
$365$	18.1870	+	13.3828i	0.951953	+	0.700488i
$366$	−10.9962	+	26.5473i	−0.574782	+	1.38765i
$367$	−15.7719	−	10.5384i	−0.823285	−	0.550102i	0.0710636	−	0.997472i	$-0.477361\pi$
$367$	−15.7719	−	10.5384i	−0.823285	−	0.550102i	−0.894349	+	0.447370i	$0.852361\pi$
$368$	−0.740046	+	0.147204i	−0.0385776	+	0.00767356i
$369$	−46.7256	−	9.29429i	−2.43244	−	0.483841i
$370$	0.689902	−	2.79882i	0.0358663	−	0.145503i
$371$	−4.76977	−	7.13846i	−0.247634	−	0.370610i
$372$	9.19949	−	22.2095i	0.476971	−	1.15151i
$373$	5.48426	−	5.48426i	0.283964	−	0.283964i	−0.550724	−	0.834688i	$-0.685648\pi$
$373$	5.48426	−	5.48426i	0.283964	−	0.283964i	0.834688	+	0.550724i	$0.185648\pi$
$374$	−4.40679	+	17.1443i	−0.227870	+	0.886513i
$375$	−24.3683	+	27.5029i	−1.25837	+	1.42025i
$376$	−0.717734	−	1.73276i	−0.0370143	−	0.0893604i
$377$	0.0361051	−	0.181513i	0.00185951	−	0.00934839i
$378$	−38.9295			−2.00232
$379$	−6.22888	+	31.3147i	−0.319956	+	1.60853i	0.401358	+	0.915921i	$0.368538\pi$
$379$	−6.22888	+	31.3147i	−0.319956	+	1.60853i	−0.721315	+	0.692608i	$0.756462\pi$
$380$	−7.17382	−	0.325414i	−0.368009	−	0.0166934i
$381$	−38.2177	+	7.60197i	−1.95795	+	0.389460i
$382$	2.80419	−	1.16153i	0.143475	−	0.0594292i
$383$	−12.1667	+	5.03961i	−0.621690	+	0.257512i	−0.671217	−	0.741260i	$-0.734228\pi$
$383$	−12.1667	+	5.03961i	−0.621690	+	0.257512i	0.0495279	+	0.998773i	$0.484228\pi$
$384$	3.22346	−	0.641185i	0.164496	−	0.0327204i
$385$	−15.9691	−	17.4867i	−0.813859	−	0.891203i
$386$	0.923400	−	4.64225i	0.0469998	−	0.236284i
$387$	−27.3372			−1.38963
$388$	0.275034	−	1.38269i	0.0139628	−	0.0701955i
$389$	13.9881	+	33.7702i	0.709225	+	1.71222i	0.701930	+	0.712246i	$0.252322\pi$
$389$	13.9881	+	33.7702i	0.709225	+	1.71222i	0.00729465	+	0.999973i	$0.497678\pi$
$390$	−1.83218	+	7.43284i	−0.0927759	+	0.376376i
$391$	−2.48738	−	1.86861i	−0.125792	−	0.0944997i
$392$	−0.647051	+	0.647051i	−0.0326810	+	0.0326810i
$393$	−22.1924	+	53.5773i	−1.11946	+	2.70262i
$394$	1.60950	+	2.40879i	0.0810854	+	0.121353i
$395$	−12.0871	−	2.97945i	−0.608169	−	0.149912i
$396$	32.8517	+	6.53460i	1.65086	+	0.328376i
$397$	−16.7453	+	3.33084i	−0.840420	+	0.167170i	−0.596488	−	0.802622i	$-0.703438\pi$
$397$	−16.7453	+	3.33084i	−0.840420	+	0.167170i	−0.243933	+	0.969792i	$0.578438\pi$
$398$	1.95216	+	1.30439i	0.0978529	+	0.0653832i
$399$	9.96385	−	24.0549i	0.498816	−	1.20425i
$400$	3.20092	+	3.84111i	0.160046	+	0.192055i
$401$	−3.65010	−	18.3503i	−0.182277	−	0.916370i	−0.958322	−	0.285691i	$-0.907777\pi$
$401$	−3.65010	−	18.3503i	−0.182277	−	0.916370i	0.776044	−	0.630678i	$-0.217223\pi$
$402$	−10.4446	−	52.5088i	−0.520932	−	2.61890i
$403$	6.33509	−	4.23297i	0.315573	−	0.210859i
$404$	8.50088	−	8.50088i	0.422935	−	0.422935i
$405$	57.6356	+	26.9951i	2.86393	+	1.34140i
$406$	0.404898	−	0.167714i	0.0200948	−	0.00832353i
$407$	−3.91356	−	3.91356i	−0.193988	−	0.193988i
$408$	10.8344	+	8.13920i	0.536382	+	0.402950i
$409$		−	34.2241i		−	1.69227i	−0.532968	−	0.846135i	$-0.678924\pi$
$409$		−	34.2241i		−	1.69227i	0.532968	−	0.846135i	$-0.321076\pi$
$410$	−13.4989	+	2.05424i	−0.666665	+	0.101452i
$411$	18.5105	−	12.3683i	0.913054	−	0.610083i
$412$			15.6745i			0.772228i
$413$	12.4720	+	18.6656i	0.613705	+	0.918474i
$414$	−3.27053	+	4.89470i	−0.160738	+	0.240561i
$415$	−13.5023	−	0.612482i	−0.662802	−	0.0300656i
$416$	0.962378	+	0.398630i	0.0471845	+	0.0195445i
$417$	10.2630	+	24.7771i	0.502581	+	1.21334i
$418$	−7.66019	+	11.4643i	−0.374672	+	0.560737i
$419$	−3.26644	−	2.18256i	−0.159576	−	0.106625i	0.473218	−	0.880945i	$-0.343092\pi$
$419$	−3.26644	−	2.18256i	−0.159576	−	0.106625i	−0.632794	+	0.774320i	$0.718092\pi$
$420$	−17.0457	+	6.17138i	−0.831744	+	0.301132i
$421$	−25.3712	−	25.3712i	−1.23652	−	1.23652i	−0.961415	−	0.275101i	$-0.911289\pi$
$421$	−25.3712	−	25.3712i	−1.23652	−	1.23652i	−0.275101	−	0.961415i	$-0.588711\pi$
$422$	−9.17525	−	1.82507i	−0.446644	−	0.0888430i
$423$	−13.5187	−	5.59961i	−0.657300	−	0.272262i
$424$	3.48041			0.169024
$425$	−2.99724	+	20.3965i	−0.145388	+	0.989375i
$426$	31.2307			1.51313
$427$	−19.9251	−	8.25323i	−0.964241	−	0.399402i
$428$	−13.6587	−	2.71689i	−0.660219	−	0.131326i
$429$	10.3933	+	10.3933i	0.501792	+	0.501792i
$430$	−7.36711	+	2.66726i	−0.355274	+	0.128627i
$431$	13.5614	+	9.06142i	0.653228	+	0.436473i	0.837526	−	0.546397i	$-0.184001\pi$
$431$	13.5614	+	9.06142i	0.653228	+	0.436473i	−0.184298	+	0.982870i	$0.559001\pi$
$432$	8.76779	−	13.1219i	0.421841	−	0.631329i
$433$	−10.2233	−	24.6813i	−0.491301	−	1.18611i	−0.954058	−	0.299621i	$-0.903140\pi$
$433$	−10.2233	−	24.6813i	−0.491301	−	1.18611i	0.462757	−	0.886485i	$-0.346860\pi$
$434$	16.6694	+	6.90468i	0.800155	+	0.331435i
$435$	−1.30434	−	0.0591663i	−0.0625381	−	0.00283681i
$436$	0.313755	−	0.469568i	0.0150261	−	0.0224882i
$437$	−1.34628	−	2.01485i	−0.0644013	−	0.0963834i
$438$		−	33.1888i		−	1.58582i
$439$	−17.1108	+	11.4331i	−0.816654	+	0.545671i	−0.892289	−	0.451465i	$-0.850902\pi$
$439$	−17.1108	+	11.4331i	−0.816654	+	0.545671i	0.0756346	+	0.997136i	$0.475902\pi$
$440$	9.49080	−	1.44429i	0.452456	−	0.0688539i
$441$			7.13917i			0.339961i
$442$	1.42199	+	4.05269i	0.0676372	+	0.192767i
$443$	−13.4381	−	13.4381i	−0.638465	−	0.638465i	0.311712	−	0.950177i	$-0.399098\pi$
$443$	−13.4381	−	13.4381i	−0.638465	−	0.638465i	−0.950177	+	0.311712i	$0.899098\pi$
$444$	−3.91436	+	1.62138i	−0.185768	+	0.0769474i
$445$	−4.20773	−	1.97080i	−0.199465	−	0.0934247i
$446$	16.7716	−	16.7716i	0.794160	−	0.794160i
$447$	43.4841	−	29.0551i	2.05673	−	1.37426i
$448$	0.481242	+	2.41937i	0.0227365	+	0.114304i
$449$	−3.85780	−	19.3945i	−0.182061	−	0.915282i	−0.958501	−	0.285090i	$-0.907976\pi$
$449$	−3.85780	−	19.3945i	−0.182061	−	0.915282i	0.776440	−	0.630191i	$-0.217024\pi$
$450$	38.8488	+	3.53173i	1.83135	+	0.166487i
$451$	−10.0326	+	24.2209i	−0.472418	+	1.14052i
$452$	−12.1469	−	8.11629i	−0.571341	−	0.381758i
$453$	−22.8072	+	4.53663i	−1.07157	+	0.213149i
$454$	9.55091	+	1.89979i	0.448246	+	0.0891618i
$455$	−5.57872	−	1.37514i	−0.261534	−	0.0644677i
$456$	5.86406	+	8.77619i	0.274610	+	0.410983i
$457$	−0.754026	+	1.82038i	−0.0352719	+	0.0851538i	−0.940534	−	0.339700i	$-0.889674\pi$
$457$	−0.754026	+	1.82038i	−0.0352719	+	0.0851538i	0.905262	+	0.424854i	$0.139674\pi$
$458$	8.92201	−	8.92201i	0.416898	−	0.416898i
$459$	64.4225	−	9.15117i	3.00699	−	0.427140i
$460$	−0.403807	+	1.63818i	−0.0188276	+	0.0763805i
$461$	11.7083	+	28.2664i	0.545311	+	1.31650i	0.920932	+	0.389724i	$0.127430\pi$
$461$	11.7083	+	28.2664i	0.545311	+	1.31650i	−0.375620	+	0.926774i	$0.622570\pi$
$462$	−6.79048	+	34.1381i	−0.315922	+	1.58825i
$463$	−13.1015			−0.608876			−0.304438	−	0.952532i	$-0.598469\pi$
$463$	−13.1015			−0.608876			−0.304438	+	0.952532i	$0.598469\pi$
$464$	−0.0346608	+	0.174252i	−0.00160909	+	0.00808943i
$465$	−36.2482	−	39.6930i	−1.68097	−	1.84072i
$466$	4.65226	−	0.925391i	0.215512	−	0.0428679i
$467$	−5.25288	+	2.17582i	−0.243075	+	0.100685i	−0.500895	−	0.865508i	$-0.666996\pi$
$467$	−5.25288	+	2.17582i	−0.243075	+	0.100685i	0.257820	+	0.966193i	$0.416996\pi$
$468$	7.50828	−	3.11003i	0.347070	−	0.143761i
$469$	39.4105	−	7.83923i	1.81981	−	0.361982i
$470$	−4.18950	−	0.190041i	−0.193247	−	0.00876595i
$471$	−0.0100246	+	0.0503972i	−0.000461911	+	0.00232218i
$472$	−9.10055			−0.418887
$473$	−2.93484	+	14.7544i	−0.134944	+	0.678409i
$474$	7.00219	+	16.9048i	0.321621	+	0.776463i
$475$	−7.46289	+	14.2181i	−0.342421	+	0.652369i
$476$	−6.10888	+	8.13175i	−0.280000	+	0.372718i
$477$	19.2004	−	19.2004i	0.879125	−	0.879125i
$478$	5.78778	−	13.9729i	0.264727	−	0.639107i
$479$	11.5681	+	17.3128i	0.528558	+	0.791043i	0.995651	−	0.0931653i	$-0.0296985\pi$
$479$	11.5681	+	17.3128i	0.528558	+	0.791043i	−0.467093	+	0.884208i	$0.654699\pi$
$480$	1.75888	−	7.13549i	0.0802817	−	0.325689i
$481$	−1.31705	−	0.261978i	−0.0600523	−	0.0119452i
$482$	−14.8303	+	2.94993i	−0.675502	+	0.134366i
$483$	−5.08636	−	3.39860i	−0.231437	−	0.154642i
$484$	2.84420	−	6.86650i	0.129282	−	0.312114i
$485$	−2.53904	−	1.86833i	−0.115292	−	0.0848367i
$486$	−9.01327	−	45.3128i	−0.408850	−	2.05543i
$487$	−2.62080	−	13.1757i	−0.118760	−	0.597046i	−0.993630	−	0.112689i	$-0.964054\pi$
$487$	−2.62080	−	13.1757i	−0.118760	−	0.597046i	0.874870	−	0.484357i	$-0.160946\pi$
$488$	7.26947	−	4.85731i	0.329074	−	0.219880i
$489$	−11.6119	+	11.6119i	−0.525106	+	0.525106i
$490$	0.696562	+	1.92394i	0.0314675	+	0.0869148i
$491$	−20.1305	+	8.33834i	−0.908478	+	0.376304i	−0.787474	−	0.616348i	$-0.788611\pi$
$491$	−20.1305	+	8.33834i	−0.908478	+	0.376304i	−0.121004	+	0.992652i	$0.538611\pi$
$492$	14.1912	+	14.1912i	0.639789	+	0.639789i
$493$	−0.630621	+	0.372722i	−0.0284018	+	0.0167865i
$494$			3.34535i			0.150515i
$495$	44.3902	−	60.3256i	1.99519	−	2.71143i
$496$	−6.08166	+	4.06364i	−0.273075	+	0.182463i
$497$			23.4402i			1.05144i
$498$	11.0371	+	16.5182i	0.494586	+	0.740200i
$499$	−2.70370	+	4.04637i	−0.121034	+	0.181140i	−0.887039	−	0.461694i	$-0.847242\pi$
$499$	−2.70370	+	4.04637i	−0.121034	+	0.181140i	0.766005	+	0.642835i	$0.222242\pi$
$500$	10.8140	−	2.83867i	0.483615	−	0.126949i
$501$	8.45342	+	3.50152i	0.377671	+	0.156436i
$502$	2.65366	+	6.40651i	0.118439	+	0.285937i
$503$	21.7097	−	32.4909i	0.967989	−	1.44870i	0.0757535	−	0.997127i	$-0.475864\pi$
$503$	21.7097	−	32.4909i	0.967989	−	1.44870i	0.892235	−	0.451571i	$-0.149136\pi$
$504$	16.0018	+	10.6921i	0.712776	+	0.476262i
$505$	−9.15135	−	25.2765i	−0.407230	−	1.12479i
$506$	2.29065	+	2.29065i	0.101832	+	0.101832i
$507$	−38.4072	−	7.63967i	−1.70573	−	0.339290i
$508$	10.9536	+	4.53714i	0.485988	+	0.201303i
$509$	−25.8752			−1.14690			−0.573450	−	0.819241i	$-0.694395\pi$
$509$	−25.8752			−1.14690			−0.573450	+	0.819241i	$0.694395\pi$
$510$	26.7573	−	14.2196i	1.18483	−	0.629656i
$511$	24.9099			1.10195
$512$	−0.923880	−	0.382683i	−0.0408301	−	0.0169124i
$513$	49.7092	+	9.88777i	2.19471	+	0.436556i
$514$	10.2704	+	10.2704i	0.453008	+	0.453008i
$515$	31.7402	+	14.8663i	1.39864	+	0.655089i
$516$	9.57532	+	6.39802i	0.421530	+	0.281657i
$517$	−4.47355	+	6.69514i	−0.196746	+	0.294452i
$518$	−1.21693	−	2.93793i	−0.0534688	−	0.129085i
$519$	−49.5898	−	20.5408i	−2.17675	−	0.901639i
$520$	1.71997	−	1.57070i	0.0754256	−	0.0688798i
$521$	6.65437	−	9.95897i	0.291533	−	0.436310i	−0.656574	−	0.754262i	$-0.727995\pi$
$521$	6.65437	−	9.95897i	0.291533	−	0.436310i	0.948107	+	0.317952i	$0.102995\pi$
$522$	0.770081	+	1.15251i	0.0337055	+	0.0504439i
$523$			8.10165i			0.354261i	0.984187	+	0.177130i	$0.0566814\pi$
$523$			8.10165i			0.354261i	−0.984187	+	0.177130i	$0.943319\pi$
$524$	14.6711	−	9.80294i	0.640911	−	0.428243i
$525$	−3.67002	+	40.3700i	−0.160173	+	1.76189i
$526$		−	16.6662i		−	0.726679i
$527$	−29.2084	−	7.50774i	−1.27234	−	0.327042i
$528$	−9.97751	−	9.97751i	−0.434215	−	0.434215i
$529$	20.7232	−	8.58384i	0.901010	−	0.373211i
$530$	3.30096	−	7.04769i	0.143385	−	0.306132i
$531$	−50.2050	+	50.2050i	−2.17871	+	2.17871i
$532$	−6.58697	+	4.40127i	−0.285581	+	0.190819i
$533$	1.24094	+	6.23865i	0.0537513	+	0.270226i
$534$	1.33234	+	6.69813i	0.0576560	+	0.289856i
$535$	−18.4561	+	25.0815i	−0.797926	+	1.08437i
$536$	−6.23375	+	15.0496i	−0.269257	+	0.650044i
$537$	17.8465	+	11.9247i	0.770134	+	0.514587i
$538$	−9.79173	+	1.94770i	−0.422151	+	0.0839711i
$539$	3.85316	+	0.766441i	0.165967	+	0.0330129i
$540$	−18.2556	−	30.1998i	−0.785597	−	1.29959i
$541$	16.4836	+	24.6695i	0.708687	+	1.06063i	0.994742	+	0.102412i	$0.0326561\pi$
$541$	16.4836	+	24.6695i	0.708687	+	1.06063i	−0.286055	+	0.958213i	$0.592344\pi$
$542$	−9.90173	+	23.9049i	−0.425316	+	1.02680i
$543$	2.21495	−	2.21495i	0.0950526	−	0.0950526i
$544$	−1.36510	−	3.89056i	−0.0585284	−	0.166807i
$545$	−0.653277	−	1.08070i	−0.0279833	−	0.0462920i
$546$	3.23181	+	7.80228i	0.138309	+	0.333907i
$547$	2.44692	−	12.3015i	0.104623	−	0.525974i	−0.892558	−	0.450933i	$-0.851091\pi$
$547$	2.44692	−	12.3015i	0.104623	−	0.525974i	0.997180	−	0.0750406i	$-0.0239086\pi$
$548$	−6.77365			−0.289356
$549$	13.3072	−	66.8998i	0.567937	−	2.85521i
$550$	6.07683	−	20.5883i	0.259117	−	0.877888i
$551$	−0.559614	+	0.111314i	−0.0238404	+	0.00474214i
$552$	2.29112	−	0.949014i	0.0975166	−	0.0403927i
$553$	−12.6879	+	5.25550i	−0.539544	+	0.223487i
$554$	−24.8527	+	4.94351i	−1.05589	+	0.210030i
$555$	−0.429309	+	9.46421i	−0.0182231	+	0.401734i
$556$	1.59192	−	8.00315i	0.0675126	−	0.339409i
$557$	−20.7756			−0.880291			−0.440146	−	0.897926i	$-0.645073\pi$
$557$	−20.7756			−0.880291			−0.440146	+	0.897926i	$0.645073\pi$
$558$	−11.1328	+	55.9686i	−0.471291	+	2.36934i
$559$	1.39678	+	3.37213i	0.0590777	+	0.142626i
$560$	5.35555	+	1.32013i	0.226313	+	0.0557857i
$561$	3.21239	−	58.0896i	0.135627	−	2.45255i
$562$	13.5437	−	13.5437i	0.571308	−	0.571308i
$563$	9.60884	−	23.1978i	0.404964	−	0.977670i	−0.581478	−	0.813562i	$-0.697525\pi$
$563$	9.60884	−	23.1978i	0.404964	−	0.977670i	0.986442	−	0.164108i	$-0.0524746\pi$
$564$	3.42461	+	5.12529i	0.144202	+	0.215813i
$565$	−27.9558	+	16.8991i	−1.17611	+	0.710952i
$566$	5.55996	+	1.10594i	0.233703	+	0.0464863i
$567$	68.8614	−	13.6974i	2.89191	−	0.575236i
$568$	−7.90097	−	5.27926i	−0.331517	−	0.221513i
$569$	4.13146	−	9.97424i	0.173200	−	0.418142i	−0.813313	−	0.581827i	$-0.802338\pi$
$569$	4.13146	−	9.97424i	0.173200	−	0.418142i	0.986513	+	0.163685i	$0.0523381\pi$
$570$	23.3331	−	3.55079i	0.977318	−	0.148726i
$571$	6.65460	+	33.4549i	0.278486	+	1.40005i	0.826199	+	0.563379i	$0.190499\pi$
$571$	6.65460	+	33.4549i	0.278486	+	1.40005i	−0.547713	+	0.836667i	$0.684501\pi$
$572$	−0.872480	−	4.38625i	−0.0364802	−	0.183398i
$573$	−8.29442	+	5.54216i	−0.346505	+	0.231527i
$574$	−10.6512	+	10.6512i	−0.444573	+	0.444573i
$575$	2.93426	+	2.37141i	0.122367	+	0.0988946i
$576$	−7.20792	+	2.98562i	−0.300330	+	0.124401i
$577$	8.24515	+	8.24515i	0.343250	+	0.343250i	0.857588	−	0.514338i	$-0.171962\pi$
$577$	8.24515	+	8.24515i	0.343250	+	0.343250i	−0.514338	+	0.857588i	$0.671962\pi$
$578$	8.19775	−	14.8928i	0.340981	−	0.619461i
$579$			15.5562i			0.646492i
$580$	0.319979	+	0.235454i	0.0132864	+	0.00977670i
$581$	−12.3978	+	8.28393i	−0.514346	+	0.343675i
$582$			4.63339i			0.192060i
$583$	−8.30154	−	12.4241i	−0.343814	−	0.514555i
$584$	−5.61026	+	8.39634i	−0.232154	+	0.347443i
$585$	0.823472	−	18.1536i	0.0340464	−	0.750560i
$586$	−15.0886	−	6.24989i	−0.623303	−	0.258181i
$587$	2.89441	+	6.98772i	0.119465	+	0.288414i	0.972288	−	0.233786i	$-0.0751115\pi$
$587$	2.89441	+	6.98772i	0.119465	+	0.288414i	−0.852823	+	0.522200i	$0.825111\pi$
$588$	1.67086	−	2.50062i	0.0689052	−	0.103124i
$589$	−19.5314	−	13.0505i	−0.804779	−	0.537736i
$590$	−8.63133	+	18.4282i	−0.355346	+	0.758679i
$591$	−6.73263	−	6.73263i	−0.276943	−	0.276943i
$592$	1.26436	+	0.251498i	0.0519650	+	0.0103365i
$593$	−16.1628	−	6.69483i	−0.663725	−	0.274924i	0.0252801	−	0.999680i	$-0.491952\pi$
$593$	−16.1628	−	6.69483i	−0.663725	−	0.274924i	−0.689005	+	0.724756i	$0.741952\pi$
$594$	−67.7548			−2.78001
$595$	10.6726	+	20.0827i	0.437532	+	0.823311i
$596$	−15.9124			−0.651798
$597$	−7.12906	−	2.95295i	−0.291773	−	0.120856i
$598$	0.770885	+	0.153339i	0.0315238	+	0.00627048i
$599$	−30.0493	−	30.0493i	−1.22778	−	1.22778i	−0.964802	−	0.262977i	$-0.915296\pi$
$599$	−30.0493	−	30.0493i	−1.22778	−	1.22778i	−0.262977	−	0.964802i	$-0.584704\pi$
$600$	−12.7809	−	10.3293i	−0.521778	−	0.421690i
$601$	−1.84758	−	1.23451i	−0.0753644	−	0.0503569i	0.517317	−	0.855794i	$-0.326931\pi$
$601$	−1.84758	−	1.23451i	−0.0753644	−	0.0503569i	−0.592682	+	0.805437i	$0.701931\pi$
$602$	−4.80204	+	7.18676i	−0.195717	+	0.292911i
$603$	48.6345	+	117.414i	1.98055	+	4.78147i
$604$	6.53680	+	2.70763i	0.265978	+	0.110172i
$605$	−11.2068	−	12.2719i	−0.455623	−	0.498922i
$606$	−21.9516	+	32.8529i	−0.891722	+	1.33456i
$607$	−6.99433	−	10.4678i	−0.283891	−	0.424873i	0.661928	−	0.749568i	$-0.269739\pi$
$607$	−6.99433	−	10.4678i	−0.283891	−	0.424873i	−0.945819	+	0.324694i	$0.894739\pi$
$608$		−	3.21153i		−	0.130245i
$609$	−1.19764	+	0.800235i	−0.0485307	+	0.0324272i
$610$	−2.94118	−	19.3273i	−0.119085	−	0.782538i
$611$			1.95368i			0.0790376i
$612$	−28.9939	−	13.9322i	−1.17201	−	0.563176i
$613$	28.1666	+	28.1666i	1.13764	+	1.13764i	0.988873	+	0.148764i	$0.0475295\pi$
$613$	28.1666	+	28.1666i	1.13764	+	1.13764i	0.148764	+	0.988873i	$0.452470\pi$
$614$	12.0790	−	5.00328i	0.487469	−	0.201916i
$615$	42.1961	−	15.2771i	1.70151	−	0.616032i
$616$	7.48862	−	7.48862i	0.301725	−	0.301725i
$617$	−1.34340	+	0.897632i	−0.0540833	+	0.0361373i	−0.582318	−	0.812961i	$-0.697854\pi$
$617$	−1.34340	+	0.897632i	−0.0540833	+	0.0361373i	0.528235	+	0.849098i	$0.322854\pi$
$618$	−10.0503	−	50.5261i	−0.404281	−	2.03246i
$619$	0.348070	+	1.74987i	0.0139901	+	0.0703331i	0.987150	−	0.159798i	$-0.0510844\pi$
$619$	0.348070	+	1.74987i	0.0139901	+	0.0703331i	−0.973160	+	0.230131i	$0.926084\pi$
$620$	2.46060	+	16.1692i	0.0988202	+	0.649372i
$621$	4.55697	−	11.0015i	0.182865	−	0.441475i
$622$	6.70451	+	4.47981i	0.268826	+	0.179624i
$623$	−5.02728	+	0.999989i	−0.201414	+	0.0400637i
$624$	−3.35778	−	0.667904i	−0.134419	−	0.0267376i
$625$	4.50822	−	24.5902i	0.180329	−	0.983606i
$626$	1.69212	+	2.53244i	0.0676308	+	0.101217i
$627$	17.3416	−	41.8662i	0.692555	−	1.67198i
$628$	0.0110553	−	0.0110553i	0.000441154	−	0.000441154i
$629$	2.70446	+	4.57577i	0.107834	+	0.182448i
$630$	36.8277	−	22.2622i	1.46725	−	0.886947i
$631$	3.36303	+	8.11908i	0.133880	+	0.323215i	0.976575	−	0.215176i	$-0.0690324\pi$
$631$	3.36303	+	8.11908i	0.133880	+	0.323215i	−0.842695	+	0.538391i	$0.819032\pi$
$632$	1.08613	−	5.46035i	0.0432040	−	0.217201i
$633$	30.7462			1.22205
$634$	−4.24156	+	21.3238i	−0.168454	+	0.846875i
$635$	19.5764	−	17.8774i	0.776865	−	0.709444i
$636$	−11.2189	+	2.23159i	−0.444860	+	0.0884882i
$637$	0.880642	−	0.364774i	0.0348923	−	0.0144529i
$638$	0.704705	−	0.291898i	0.0278995	−	0.0115564i
$639$	−72.7113	+	14.4632i	−2.87642	+	0.572155i
$640$	−1.65116	+	1.50787i	−0.0652680	+	0.0596036i
$641$	−5.84687	+	29.3942i	−0.230937	+	1.16100i	0.675075	+	0.737749i	$0.264111\pi$
$641$	−5.84687	+	29.3942i	−0.230937	+	1.16100i	−0.906012	+	0.423251i	$0.860889\pi$
$642$	45.7703			1.80641
$643$	3.27763	−	16.4778i	0.129257	−	0.649820i	−0.860776	−	0.508984i	$-0.830021\pi$
$643$	3.27763	−	16.4778i	0.129257	−	0.649820i	0.990033	−	0.140836i	$-0.0449789\pi$
$644$	0.712283	+	1.71960i	0.0280679	+	0.0677618i
$645$	22.0374	−	13.3215i	0.867720	−	0.524533i
$646$	9.86584	−	8.83185i	0.388166	−	0.347485i
$647$	−29.2312	+	29.2312i	−1.14920	+	1.14920i	−0.162488	+	0.986710i	$0.551952\pi$
$647$	−29.2312	+	29.2312i	−1.14920	+	1.14920i	−0.986710	+	0.162488i	$0.948048\pi$
$648$	−10.8922	+	26.2960i	−0.427884	+	1.03300i
$649$	21.7068	+	32.4865i	0.852066	+	1.27521i
$650$	−1.54931	−	4.97258i	−0.0607691	−	0.195041i
$651$	−58.1602	−	11.5688i	−2.27948	−	0.453416i
$652$	4.90053	−	0.974775i	0.191919	−	0.0381751i
$653$	−20.5744	−	13.7474i	−0.805140	−	0.537978i	0.0835403	−	0.996504i	$-0.473377\pi$
$653$	−20.5744	−	13.7474i	−0.805140	−	0.537978i	−0.888681	+	0.458527i	$0.848377\pi$
$654$	−0.710296	+	1.71481i	−0.0277748	+	0.0670542i
$655$	−5.93585	−	39.0059i	−0.231933	−	1.52409i
$656$	−1.19130	−	5.98908i	−0.0465125	−	0.233834i
$657$	15.3700	+	77.2702i	0.599641	+	3.01460i
$658$	−3.84679	+	2.57034i	−0.149963	+	0.100202i
$659$	24.3205	−	24.3205i	0.947392	−	0.947392i	−0.0512918	−	0.998684i	$-0.516334\pi$
$659$	24.3205	−	24.3205i	0.947392	−	0.947392i	0.998684	+	0.0512918i	$0.0163338\pi$
$660$	−29.6671	+	10.7410i	−1.15479	+	0.418092i
$661$	38.8967	−	16.1115i	1.51291	−	0.626666i	0.536751	−	0.843741i	$-0.319651\pi$
$661$	38.8967	−	16.1115i	1.51291	−	0.626666i	0.976155	+	0.217074i	$0.0696514\pi$
$662$	−1.78489	−	1.78489i	−0.0693715	−	0.0693715i
$663$	−7.18225	−	12.1519i	−0.278935	−	0.471941i
$664$		−	6.04463i		−	0.234577i
$665$	2.66505	+	17.5127i	0.103346	+	0.679113i
$666$	8.36255	−	5.58768i	0.324042	−	0.216518i
$667$			0.134056i			0.00519069i
$668$	−1.54671	−	2.31481i	−0.0598439	−	0.0895627i
$669$	−43.3089	+	64.8163i	−1.67442	+	2.50594i
$670$	24.5625	+	26.8968i	0.948932	+	1.03911i
$671$	−34.6786	−	14.3643i	−1.33875	−	0.554529i
$672$	−3.10253	−	7.49016i	−0.119683	−	0.288939i
$673$	−3.41880	+	5.11660i	−0.131785	+	0.197230i	−0.891493	−	0.453034i	$-0.850342\pi$
$673$	−3.41880	+	5.11660i	−0.131785	+	0.197230i	0.759708	+	0.650264i	$0.225342\pi$
$674$	−8.95196	−	5.98151i	−0.344817	−	0.230399i
$675$	−78.4677	+	8.32420i	−3.02022	+	0.320399i
$676$	8.42512	+	8.42512i	0.324043	+	0.324043i
$677$	39.5192	+	7.86085i	1.51884	+	0.302117i	0.882879	−	0.469600i	$-0.155602\pi$
$677$	39.5192	+	7.86085i	1.51884	+	0.302117i	0.635966	+	0.771717i	$0.280602\pi$
$678$	44.3590	+	18.3741i	1.70360	+	0.705653i
$679$	−3.47760			−0.133458
$680$	−9.17295	−	0.925688i	−0.351767	−	0.0354985i
$681$	−32.0051			−1.22644
$682$	29.0122	+	12.0172i	1.11093	+	0.460164i
$683$	−49.8450	−	9.91478i	−1.90727	−	0.379379i	−0.908046	−	0.418871i	$-0.862426\pi$
$683$	−49.8450	−	9.91478i	−1.90727	−	0.379379i	−0.999220	+	0.0394928i	$0.987426\pi$
$684$	−17.7170	−	17.7170i	−0.677428	−	0.677428i
$685$	−6.42441	+	13.7164i	−0.245464	+	0.524076i
$686$	16.2341	+	10.8473i	0.619822	+	0.414152i
$687$	−23.0391	+	34.4804i	−0.878995	+	1.31551i
$688$	−1.34091	−	3.23724i	−0.0511216	−	0.123418i
$689$	−3.34947	−	1.38740i	−0.127605	−	0.0528556i
$690$	0.251279	−	5.53951i	0.00956604	−	0.210886i
$691$	24.8313	−	37.1627i	0.944627	−	1.41373i	0.0345003	−	0.999405i	$-0.489016\pi$
$691$	24.8313	−	37.1627i	0.944627	−	1.41373i	0.910127	−	0.414330i	$-0.135984\pi$
$692$	9.07335	+	13.5792i	0.344917	+	0.516205i
$693$		−	82.6250i		−	3.13866i
$694$	24.1986	−	16.1690i	0.918565	−	0.613765i
$695$	−14.6962	−	10.8141i	−0.557459	−	0.410202i
$696$		−	0.583917i		−	0.0221333i
$697$	15.1224	−	20.1299i	0.572801	−	0.762476i
$698$	−13.7996	−	13.7996i	−0.522321	−	0.522321i
$699$	−14.4030	+	5.96592i	−0.544772	+	0.225652i
$700$	7.75263	−	9.59270i	0.293022	−	0.362570i
$701$	23.2778	−	23.2778i	0.879189	−	0.879189i	−0.114261	−	0.993451i	$-0.536450\pi$
$701$	23.2778	−	23.2778i	0.879189	−	0.879189i	0.993451	+	0.114261i	$0.0364501\pi$
$702$	−13.6687	+	9.13315i	−0.515893	+	0.344709i
$703$	0.807691	+	4.06054i	0.0304627	+	0.153146i
$704$	0.837577	+	4.21079i	0.0315674	+	0.158700i
$705$	13.6265	−	2.07366i	0.513205	−	0.0780985i
$706$	5.61537	−	13.5567i	0.211337	−	0.510213i
$707$	−24.6577	−	16.4758i	−0.927349	−	0.619635i
$708$	29.3352	−	5.83514i	1.10249	−	0.219298i
$709$	44.5543	+	8.86240i	1.67327	+	0.332834i	0.938447	−	0.345424i	$-0.112265\pi$
$709$	44.5543	+	8.86240i	1.67327	+	0.332834i	0.734824	+	0.678258i	$0.237265\pi$
$710$	−18.1839	+	10.9921i	−0.682429	+	0.412525i
$711$	−24.1313	−	36.1150i	−0.904993	−	1.35442i
$712$	0.795190	−	1.91976i	0.0298010	−	0.0719460i
$713$	−3.90253	+	3.90253i	−0.146151	+	0.146151i
$714$	14.4778	−	30.1293i	0.541816	−	1.12756i
$715$	−9.70948	−	2.39336i	−0.363114	−	0.0895068i
$716$	−2.49919	−	6.03358i	−0.0933991	−	0.225485i
$717$	−9.69742	+	48.7522i	−0.362157	+	1.82068i
$718$	15.3257			0.571949
$719$	−2.22186	+	11.1701i	−0.0828615	+	0.416573i	0.916983	+	0.398927i	$0.130617\pi$
$719$	−2.22186	+	11.1701i	−0.0828615	+	0.416573i	−0.999844	+	0.0176461i	$0.994383\pi$
$720$	−0.790530	+	17.4274i	−0.0294613	+	0.649481i
$721$	37.9224	−	7.54323i	1.41230	−	0.280925i
$722$	−8.02490	+	3.32402i	−0.298656	+	0.123707i
$723$	45.9134	−	19.0180i	1.70754	−	0.707286i
$724$	−0.934770	+	0.185937i	−0.0347405	+	0.00691031i
$725$	0.780266	−	0.424630i	0.0289783	−	0.0157703i
$726$	−4.76545	+	23.9575i	−0.176862	+	0.889147i
$727$	28.1067			1.04242			0.521209	−	0.853429i	$-0.325481\pi$
$727$	28.1067			1.04242			0.521209	+	0.853429i	$0.325481\pi$
$728$	0.501296	−	2.52018i	0.0185793	−	0.0934043i
$729$	25.4313	+	61.3966i	0.941901	+	2.27395i
$730$	11.6813	+	19.3240i	0.432343	+	0.715213i
$731$	6.25726	−	13.0218i	0.231433	−	0.481630i
$732$	−20.3184	+	20.3184i	−0.750989	+	0.750989i
$733$	−0.800418	+	1.93238i	−0.0295641	+	0.0713741i	−0.937972	−	0.346711i	$-0.887299\pi$
$733$	−0.800418	+	1.93238i	−0.0295641	+	0.0713741i	0.908408	+	0.418085i	$0.137299\pi$
$734$	−10.5384	−	15.7719i	−0.388981	−	0.582151i
$735$	−3.47894	−	5.75512i	−0.128323	−	0.212281i
$736$	−0.740046	−	0.147204i	−0.0272785	−	0.00542603i
$737$	68.5919	−	13.6438i	2.52662	−	0.502575i
$738$	−39.6120	−	26.4679i	−1.45814	−	0.974297i
$739$	0.150199	−	0.362614i	0.00552518	−	0.0133390i	−0.921093	−	0.389343i	$-0.872702\pi$
$739$	0.150199	−	0.362614i	0.00552518	−	0.0133390i	0.926618	+	0.376004i	$0.122702\pi$
$740$	1.70845	−	2.32175i	0.0628037	−	0.0853494i
$741$	−2.14499	−	10.7836i	−0.0787983	−	0.396146i
$742$	−1.67492	−	8.42039i	−0.0614882	−	0.309122i
$743$	−25.7028	+	17.1741i	−0.942944	+	0.630055i	−0.929092	−	0.369849i	$-0.879409\pi$
$743$	−25.7028	+	17.1741i	−0.942944	+	0.630055i	−0.0138523	+	0.999904i	$0.504409\pi$
$744$	16.9984	−	16.9984i	0.623193	−	0.623193i
$745$	−15.0920	+	32.2220i	−0.552928	+	1.18052i
$746$	7.16553	−	2.96806i	0.262349	−	0.108668i
$747$	−33.3464	−	33.3464i	−1.22008	−	1.22008i
$748$	−10.6322	+	14.1529i	−0.388752	+	0.517481i
$749$			34.3529i			1.25523i
$750$	−33.0383	+	16.0841i	−1.20639	+	0.587308i
$751$	29.4951	−	19.7080i	1.07629	−	0.719156i	0.114635	−	0.993408i	$-0.463430\pi$
$751$	29.4951	−	19.7080i	1.07629	−	0.719156i	0.961658	+	0.274252i	$0.0884302\pi$
$752$		−	1.87553i		−	0.0683935i
$753$	−12.6617	−	18.9496i	−0.461419	−	0.690563i
$754$	0.102819	−	0.153879i	0.00374444	−	0.00560395i
$755$	11.6826	−	10.6687i	0.425174	−	0.388274i
$756$	−35.9662	−	14.8977i	−1.30808	−	0.541823i
$757$	−12.7568	−	30.7976i	−0.463653	−	1.11936i	−0.966886	−	0.255208i	$-0.917856\pi$
$757$	−12.7568	−	30.7976i	−0.463653	−	1.11936i	0.503233	−	0.864151i	$-0.332144\pi$
$758$	−17.7384	+	26.5473i	−0.644286	+	0.964242i
$759$	−8.85255	−	5.91509i	−0.321327	−	0.214704i
$760$	−6.50321	−	3.04594i	−0.235896	−	0.110488i
$761$	27.6987	+	27.6987i	1.00408	+	1.00408i	0.999992	+	0.00408366i	$0.00129987\pi$
$761$	27.6987	+	27.6987i	1.00408	+	1.00408i	0.00408366	+	0.999992i	$0.498700\pi$
$762$	−38.2177	−	7.60197i	−1.38448	−	0.275390i
$763$	−1.28705	−	0.533113i	−0.0465943	−	0.0193000i
$764$	3.03523			0.109811
$765$	−55.7112	+	45.4977i	−2.01424	+	1.64497i
$766$	−13.1691			−0.475821
$767$	8.75817	+	3.62775i	0.316239	+	0.130991i
$768$	3.22346	+	0.641185i	0.116316	+	0.0231368i
$769$	−9.03327	−	9.03327i	−0.325748	−	0.325748i	0.525219	−	0.850967i	$-0.323983\pi$
$769$	−9.03327	−	9.03327i	−0.325748	−	0.325748i	−0.850967	+	0.525219i	$0.823983\pi$
$770$	−8.06164	−	22.2667i	−0.290521	−	0.802435i
$771$	−39.6914	−	26.5210i	−1.42945	−	0.955129i
$772$	2.62962	−	3.93551i	0.0946421	−	0.141642i
$773$	21.1652	+	51.0973i	0.761260	+	1.83784i	0.476214	+	0.879330i	$0.342009\pi$
$773$	21.1652	+	51.0973i	0.761260	+	1.83784i	0.285046	+	0.958514i	$0.407991\pi$
$774$	−25.2562	−	10.4615i	−0.907817	−	0.376030i
$775$	35.0758	+	10.3529i	1.25996	+	0.371889i
$776$	0.783232	−	1.17219i	0.0281164	−	0.0420791i
$777$	5.80648	+	8.69001i	0.208306	+	0.311752i
$778$			36.5527i			1.31048i
$779$	16.3059	−	10.8952i	0.584219	−	0.390363i
$780$	−4.53714	+	6.16590i	−0.162456	+	0.220775i
$781$			40.7965i			1.45981i
$782$	−1.58295	−	2.67825i	−0.0566061	−	0.0957740i
$783$	−1.98262	−	1.98262i	−0.0708530	−	0.0708530i
$784$	−0.845413	+	0.350182i	−0.0301933	+	0.0125065i
$785$	−0.0119012	−	0.0328718i	−0.000424773	−	0.00117324i
$786$	−41.0063	+	41.0063i	−1.46264	+	1.46264i
$787$	19.9653	−	13.3404i	0.711685	−	0.475532i	−0.146279	−	0.989243i	$-0.546730\pi$
$787$	19.9653	−	13.3404i	0.711685	−	0.475532i	0.857963	+	0.513711i	$0.171730\pi$
$788$	0.565181	+	2.84136i	0.0201337	+	0.101219i
$789$	10.6861	+	53.7227i	0.380435	+	1.91258i
$790$	−10.0269	−	7.37819i	−0.356740	−	0.262504i
$791$	−13.7907	+	33.2937i	−0.490340	+	1.18379i
$792$	27.8503	+	18.6090i	0.989617	+	0.661241i
$793$	−8.93225	+	1.77674i	−0.317194	+	0.0630937i
$794$	−16.7453	−	3.33084i	−0.594267	−	0.118207i
$795$	−6.12164	+	24.8344i	−0.217112	+	0.880787i
$796$	1.30439	+	1.95216i	0.0462329	+	0.0691925i
$797$	−20.2052	+	48.7796i	−0.715703	+	1.72786i	−0.0304710	+	0.999536i	$0.509701\pi$
$797$	−20.2052	+	48.7796i	−0.715703	+	1.72786i	−0.685232	+	0.728325i	$0.740299\pi$
$798$	18.4108	−	18.4108i	0.651735	−	0.651735i
$799$	5.76164	−	5.15779i	0.203832	−	0.182470i
$800$	1.48734	+	4.77366i	0.0525853	+	0.168774i
$801$	−6.20391	−	14.9776i	−0.219204	−	0.529206i
$802$	3.65010	−	18.3503i	0.128889	−	0.647971i
$803$	43.3544			1.52994
$804$	10.4446	−	52.5088i	0.368354	−	1.85184i
$805$	4.15768	+	0.188598i	0.146539	+	0.00664720i
$806$	7.47275	−	1.48642i	0.263216	−	0.0523570i
$807$	30.3144	−	12.5566i	1.06712	−	0.442014i
$808$	11.1069	−	4.60064i	0.390741	−	0.161850i
$809$	45.8811	−	9.12633i	1.61309	−	0.320865i	0.695544	−	0.718483i	$-0.255163\pi$
$809$	45.8811	−	9.12633i	1.61309	−	0.320865i	0.917551	+	0.397619i	$0.130163\pi$
$810$	42.9177	+	46.9964i	1.50798	+	1.65128i
$811$	−0.316866	+	1.59299i	−0.0111267	+	0.0559375i	−0.985950	−	0.167042i	$-0.946578\pi$
$811$	−0.316866	+	1.59299i	−0.0111267	+	0.0559375i	0.974823	+	0.222980i	$0.0715784\pi$
$812$	0.438259			0.0153799
$813$	16.5903	−	83.4052i	0.581848	−	2.92515i
$814$	−2.11800	−	5.11331i	−0.0742360	−	0.179222i
$815$	2.67398	−	10.8479i	0.0936654	−	0.379985i
$816$	6.89493	+	11.6658i	0.241371	+	0.408384i
$817$	7.95711	−	7.95711i	0.278384	−	0.278384i
$818$	13.0970	−	31.6189i	0.457925	−	1.10553i
$819$	−11.1376	−	16.6686i	−0.389179	−	0.582448i
$820$	−13.2575	−	3.26795i	−0.462973	−	0.114122i
$821$	−23.5236	−	4.67914i	−0.820981	−	0.163303i	−0.233309	−	0.972403i	$-0.574955\pi$
$821$	−23.5236	−	4.67914i	−0.820981	−	0.163303i	−0.587672	+	0.809100i	$0.699955\pi$
$822$	21.8346	−	4.34317i	0.761568	−	0.151485i
$823$	−23.7432	−	15.8647i	−0.827636	−	0.553009i	0.0680571	−	0.997681i	$-0.478320\pi$
$823$	−23.7432	−	15.8647i	−0.827636	−	0.553009i	−0.895693	+	0.444673i	$0.853320\pi$
$824$	−5.99837	+	14.4814i	−0.208963	+	0.504482i
$825$	−6.38748	+	70.2619i	−0.222384	+	2.44620i
$826$	4.37957	+	22.0176i	0.152385	+	0.766089i
$827$	1.36224	+	6.84847i	0.0473699	+	0.238145i	0.997215	−	0.0745750i	$-0.0237600\pi$
$827$	1.36224	+	6.84847i	0.0473699	+	0.238145i	−0.949846	+	0.312720i	$0.898760\pi$
$828$	−4.89470	+	3.27053i	−0.170102	+	0.113659i
$829$	−0.413022	+	0.413022i	−0.0143448	+	0.0143448i	−0.714243	−	0.699898i	$-0.753229\pi$
$829$	−0.413022	+	0.413022i	−0.0143448	+	0.0143448i	0.699898	+	0.714243i	$0.253229\pi$
$830$	−12.2401	−	5.73297i	−0.424861	−	0.198994i
$831$	76.9419	−	31.8704i	2.66908	−	1.10557i
$832$	0.736573	+	0.736573i	0.0255361	+	0.0255361i
$833$	−3.40069	−	1.63410i	−0.117827	−	0.0566183i
$834$			26.8185i			0.928649i
$835$	−6.15436	+	0.936558i	−0.212980	+	0.0324109i
$836$	−11.4643	+	7.66019i	−0.396501	+	0.264933i
$837$		−	115.432i		−	3.98992i
$838$	−2.18256	−	3.26644i	−0.0753954	−	0.112837i
$839$	8.73881	−	13.0785i	0.301697	−	0.451522i	−0.649385	−	0.760460i	$-0.724974\pi$
$839$	8.73881	−	13.0785i	0.301697	−	0.451522i	0.951082	+	0.308938i	$0.0999736\pi$
$840$	−18.1098	−	0.821485i	−0.624849	−	0.0283439i
$841$	−26.7633	−	11.0857i	−0.922874	−	0.382267i
$842$	−13.7308	−	33.1491i	−0.473194	−	1.14239i
$843$	−34.9736	+	52.3416i	−1.20455	+	1.80274i
$844$	−7.77840	−	5.19736i	−0.267744	−	0.178900i
$845$	25.0513	−	9.06980i	0.861789	−	0.312011i
$846$	−10.3467	−	10.3467i	−0.355728	−	0.355728i
$847$	−17.9813	−	3.57671i	−0.617846	−	0.122897i
$848$	3.21548	+	1.33190i	0.110420	+	0.0457375i
$849$	−18.6314			−0.639428
$850$	−10.5745	+	17.6969i	−0.362702	+	0.606999i
$851$	0.972709			0.0333440
$852$	28.8534	+	11.9515i	0.988501	+	0.409451i
$853$	15.9885	+	3.18031i	0.547435	+	0.108892i	0.461057	−	0.887371i	$-0.347470\pi$
$853$	15.9885	+	3.18031i	0.547435	+	0.108892i	0.0863788	+	0.996262i	$0.472470\pi$
$854$	−15.2500	−	15.2500i	−0.521844	−	0.521844i
$855$	−52.6798	+	19.0727i	−1.80161	+	0.652273i
$856$	−11.5793	−	7.73704i	−0.395772	−	0.264447i
$857$	21.4810	−	32.1486i	0.733777	−	1.09818i	−0.257486	−	0.966282i	$-0.582894\pi$
$857$	21.4810	−	32.1486i	0.733777	−	1.09818i	0.991264	−	0.131894i	$-0.0421057\pi$
$858$	5.62480	+	13.5795i	0.192028	+	0.463596i
$859$	36.5056	+	15.1211i	1.24555	+	0.515926i	0.905446	−	0.424460i	$-0.139536\pi$
$859$	36.5056	+	15.1211i	1.24555	+	0.515926i	0.340108	+	0.940386i	$0.389536\pi$
$860$	−7.82704	−	0.355045i	−0.266900	−	0.0121069i
$861$	27.5043	−	41.1631i	0.937345	−	1.40284i
$862$	9.06142	+	13.5614i	0.308633	+	0.461902i
$863$		−	32.2110i		−	1.09647i	−0.836323	−	0.548237i	$-0.815299\pi$
$863$		−	32.2110i		−	1.09647i	0.836323	−	0.548237i	$-0.184701\pi$
$864$	13.1219	−	8.76779i	0.446417	−	0.298286i
$865$	36.1029	−	5.49407i	1.22754	−	0.186804i
$866$		−	26.7148i		−	0.907806i
$867$	−16.8760	+	53.2627i	−0.573139	+	1.80890i
$868$	12.7582	+	12.7582i	0.433041	+	0.433041i
$869$	−22.0826	+	9.14693i	−0.749102	+	0.310288i
$870$	−1.18241	−	0.553810i	−0.0400874	−	0.0187759i
$871$	11.9985	−	11.9985i	0.406552	−	0.406552i
$872$	0.469568	−	0.313755i	0.0159016	−	0.0106251i
$873$	−2.14576	−	10.7875i	−0.0726230	−	0.365100i
$874$	−0.472751	−	2.37668i	−0.0159910	−	0.0803924i
$875$	−12.0719	−	24.7969i	−0.408105	−	0.838288i
$876$	12.7008	−	30.6625i	0.429121	−	1.03599i
$877$	−15.3968	−	10.2878i	−0.519913	−	0.347395i	0.267763	−	0.963485i	$-0.413716\pi$
$877$	−15.3968	−	10.2878i	−0.519913	−	0.347395i	−0.787676	+	0.616090i	$0.788716\pi$
$878$	−20.1836	+	4.01476i	−0.681163	+	0.135492i
$879$	52.6447	+	10.4717i	1.77566	+	0.353201i
$880$	9.32106	+	2.29762i	0.314213	+	0.0774528i
$881$	27.5356	+	41.2099i	0.927698	+	1.38840i	0.921483	+	0.388418i	$0.126978\pi$
$881$	27.5356	+	41.2099i	0.927698	+	1.38840i	0.00621479	+	0.999981i	$0.498022\pi$
$882$	−2.73204	+	6.59574i	−0.0919927	+	0.222090i
$883$	27.6674	−	27.6674i	0.931082	−	0.931082i	−0.0666919	−	0.997774i	$-0.521244\pi$
$883$	27.6674	−	27.6674i	0.931082	−	0.931082i	0.997774	+	0.0666919i	$0.0212444\pi$
$884$	−0.237149	+	4.28837i	−0.00797618	+	0.144233i
$885$	16.0068	−	64.9369i	0.538063	−	2.18283i
$886$	−7.27266	−	17.5578i	−0.244330	−	0.589865i
$887$	−3.59257	+	18.0610i	−0.120627	+	0.606431i	0.872425	+	0.488748i	$0.162546\pi$
$887$	−3.59257	+	18.0610i	−0.120627	+	0.606431i	−0.993051	+	0.117682i	$0.962454\pi$
$888$	−4.23688			−0.142180
$889$	5.70566	−	28.6843i	0.191362	−	0.962040i
$890$	−3.13324	−	3.43101i	−0.105027	−	0.115008i
$891$	119.850	−	23.8396i	4.01512	−	0.798657i
$892$	21.9132	−	9.07674i	0.733708	−	0.303912i
$893$	5.56482	−	2.30502i	0.186219	−	0.0771346i
$894$	51.2930	−	10.2028i	1.71549	−	0.341233i
$895$	−14.5881	−	0.661734i	−0.487626	−	0.0221193i
$896$	−0.481242	+	2.41937i	−0.0160772	+	0.0808254i
$897$	−2.58323			−0.0862516
$898$	3.85780	−	19.3945i	0.128736	−	0.647202i
$899$	0.497300	+	1.20059i	0.0165859	+	0.0400419i
$900$	34.5400	+	18.1297i	1.15133	+	0.604322i
$901$	4.75112	+	13.5408i	0.158283	+	0.451108i
$902$	−18.5379	+	18.5379i	−0.617244	+	0.617244i
$903$	10.8711	−	26.2452i	0.361768	−	0.873386i
$904$	−8.11629	−	12.1469i	−0.269944	−	0.403999i
$905$	−0.510059	+	2.06922i	−0.0169549	+	0.0687833i
$906$	−22.8072	−	4.53663i	−0.757718	−	0.150719i
$907$	−53.1692	+	10.5760i	−1.76545	+	0.351171i	−0.967757	−	0.251887i	$-0.918949\pi$
$907$	−53.1692	+	10.5760i	−1.76545	+	0.351171i	−0.797697	+	0.603058i	$0.793949\pi$
$908$	8.09687	+	5.41016i	0.268704	+	0.179542i
$909$	35.8933	−	86.6540i	1.19050	−	2.87413i
$910$	−4.62782	−	3.40535i	−0.153411	−	0.112886i
$911$	−0.123767	−	0.622216i	−0.00410057	−	0.0206149i	0.978681	−	0.205387i	$-0.0658453\pi$
$911$	−0.123767	−	0.622216i	−0.00410057	−	0.0206149i	−0.982781	+	0.184772i	$0.940845\pi$
$912$	2.05918	+	10.3522i	0.0681864	+	0.342796i
$913$	−21.5777	+	14.4178i	−0.714117	+	0.477158i
$914$	−1.39326	+	1.39326i	−0.0460849	+	0.0460849i
$915$	21.8731	+	60.4147i	0.723103	+	1.99725i
$916$	11.6572	−	4.82856i	0.385164	−	0.159540i
$917$	−30.7773	−	30.7773i	−1.01635	−	1.01635i
$918$	63.0206	+	16.1988i	2.07999	+	0.534642i
$919$			32.2867i			1.06504i	0.846417	+	0.532520i	$0.178755\pi$
$919$			32.2867i			1.06504i	−0.846417	+	0.532520i	$0.821245\pi$
$920$	−0.999973	+	1.35895i	−0.0329681	+	0.0448032i
$921$	−35.7281	+	23.8727i	−1.17728	+	0.786634i
$922$			30.5953i			1.00760i
$923$	5.49925	+	8.23021i	0.181010	+	0.270901i
$924$	−19.3377	+	28.9408i	−0.636162	+	0.952084i
$925$	−3.08110	−	5.66158i	−0.101306	−	0.186152i
$926$	−12.1042	−	5.01371i	−0.397767	−	0.164761i
$927$	46.7981	+	112.981i	1.53705	+	3.71077i
$928$	−0.0987056	+	0.147723i	−0.00324017	+	0.00484926i
$929$	6.95436	+	4.64676i	0.228165	+	0.152455i	0.664399	−	0.747378i	$-0.268688\pi$
$929$	6.95436	+	4.64676i	0.228165	+	0.152455i	−0.436233	+	0.899834i	$0.643688\pi$
$930$	−18.2991	−	50.5431i	−0.600052	−	1.65738i
$931$	−2.07802	−	2.07802i	−0.0681044	−	0.0681044i
$932$	4.65226	+	0.925391i	0.152390	+	0.0303122i
$933$	−24.4841	−	10.1416i	−0.801573	−	0.332023i
$934$	−5.68568			−0.186041
$935$	18.5750	+	34.9530i	0.607469	+	1.14308i
$936$	8.12690			0.265636
$937$	1.49589	+	0.619618i	0.0488686	+	0.0202420i	0.406984	−	0.913435i	$-0.366581\pi$
$937$	1.49589	+	0.619618i	0.0488686	+	0.0202420i	−0.358115	+	0.933677i	$0.616581\pi$
$938$	39.4105	+	7.83923i	1.28680	+	0.255960i
$939$	−7.07825	−	7.07825i	−0.230990	−	0.230990i
$940$	−3.79787	−	1.77883i	−0.123873	−	0.0580190i
$941$	−15.7069	−	10.4950i	−0.512030	−	0.342128i	0.272564	−	0.962138i	$-0.412128\pi$
$941$	−15.7069	−	10.4950i	−0.512030	−	0.342128i	−0.784594	+	0.620010i	$0.787128\pi$
$942$	−0.0285477	+	0.0427247i	−0.000930136	+	0.00139205i
$943$	−1.76324	−	4.25683i	−0.0574189	−	0.138622i
$944$	−8.40781	−	3.48263i	−0.273651	−	0.113350i
$945$	−64.2790	+	58.7005i	−2.09100	+	1.90953i
$946$	−8.35771	+	12.5082i	−0.271732	+	0.406676i
$947$	−13.3811	−	20.0262i	−0.434827	−	0.650765i	0.547745	−	0.836645i	$-0.315486\pi$
$947$	−13.3811	−	20.0262i	−0.434827	−	0.650765i	−0.982572	+	0.185880i	$0.940486\pi$
$948$			18.2976i			0.594279i
$949$	8.74623	−	5.84404i	0.283915	−	0.189706i
$950$	−12.3358	+	10.2798i	−0.400227	+	0.333522i
$951$		−	71.4558i		−	2.31711i
$952$	−8.75576	+	5.17499i	−0.283776	+	0.167722i
$953$	−18.1758	−	18.1758i	−0.588772	−	0.588772i	0.348527	−	0.937299i	$-0.386682\pi$
$953$	−18.1758	−	18.1758i	−0.588772	−	0.588772i	−0.937299	+	0.348527i	$0.886682\pi$
$954$	25.0865	−	10.3912i	0.812205	−	0.336426i
$955$	2.87874	−	6.14622i	0.0931538	−	0.198887i
$956$	10.6944	−	10.6944i	0.345882	−	0.345882i
$957$	−2.08443	+	1.39277i	−0.0673799	+	0.0450218i
$958$	4.06216	+	20.4219i	0.131243	+	0.659801i
$959$	3.25977	+	16.3880i	0.105263	+	0.529195i
$960$	4.35563	−	5.91924i	0.140577	−	0.191043i
$961$	−8.61030	+	20.7871i	−0.277752	+	0.670552i
$962$	−1.11654	−	0.746049i	−0.0359988	−	0.0240536i
$963$	−106.562	+	21.1966i	−3.43393	+	0.683051i
$964$	−14.8303	−	2.94993i	−0.477652	−	0.0950109i
$965$	−5.47520	−	9.05747i	−0.176253	−	0.291570i
$966$	−3.39860	−	5.08636i	−0.109348	−	0.163651i
$967$	4.22566	−	10.2016i	0.135888	−	0.328063i	−0.841257	−	0.540635i	$-0.818184\pi$
$967$	4.22566	−	10.2016i	0.135888	−	0.328063i	0.977145	+	0.212572i	$0.0681840\pi$
$968$	5.25539	−	5.25539i	0.168915	−	0.168915i
$969$	−26.1393	+	34.7949i	−0.839714	+	1.11777i
$970$	−1.63079	−	2.69776i	−0.0523614	−	0.0866200i
$971$	−2.50272	−	6.04210i	−0.0803161	−	0.193900i	0.878621	−	0.477521i	$-0.158464\pi$
$971$	−2.50272	−	6.04210i	−0.0803161	−	0.193900i	−0.958937	+	0.283620i	$0.908464\pi$
$972$	9.01327	−	45.3128i	0.289101	−	1.45341i
$973$	−20.1286			−0.645295
$974$	2.62080	−	13.1757i	0.0839759	−	0.422175i
$975$	8.18250	+	15.0355i	0.262050	+	0.481522i
$976$	8.57493	−	1.70566i	0.274477	−	0.0545968i
$977$	42.2480	−	17.4997i	1.35163	−	0.559865i	0.414886	−	0.909873i	$-0.363821\pi$
$977$	42.2480	−	17.4997i	1.35163	−	0.559865i	0.936747	+	0.350009i	$0.113821\pi$
$978$	−15.1716	+	6.28429i	−0.485135	+	0.200949i
$979$	−8.74973	+	1.74043i	−0.279643	+	0.0556244i
$980$	−0.0927209	+	2.04405i	−0.00296186	+	0.0652949i
$981$	0.859571	−	4.32136i	0.0274440	−	0.137970i
$982$	−21.7891			−0.695319
$983$	2.90810	−	14.6200i	0.0927538	−	0.466305i	−0.906293	−	0.422650i	$-0.861100\pi$
$983$	2.90810	−	14.6200i	0.0927538	−	0.466305i	0.999047	−	0.0436547i	$-0.0139002\pi$
$984$	7.68022	+	18.5417i	0.244837	+	0.591088i
$985$	6.28967	+	1.55039i	0.200406	+	0.0493996i
$986$	−0.725253	+	0.103022i	−0.0230968	+	0.00328088i
$987$	10.7519	−	10.7519i	0.342236	−	0.342236i
$988$	−1.28021	+	3.09070i	−0.0407290	+	0.0983284i
$989$	−1.46887	−	2.19832i	−0.0467073	−	0.0699024i
$990$	64.0968	−	38.7462i	2.03713	−	1.23144i
$991$	8.91866	+	1.77403i	0.283311	+	0.0563540i	0.334700	−	0.942325i	$-0.391365\pi$
$991$	8.91866	+	1.77403i	0.283311	+	0.0563540i	−0.0513895	+	0.998679i	$0.516365\pi$
$992$	−7.17381	+	1.42696i	−0.227769	+	0.0453060i
$993$	6.89794	+	4.60906i	0.218900	+	0.146264i
$994$	−8.97018	+	21.6559i	−0.284517	+	0.686885i
$995$	5.19018	−	0.789831i	0.164540	−	0.0250393i
$996$	3.87573	+	19.4846i	0.122807	+	0.617393i
$997$	5.32944	+	26.7929i	0.168785	+	0.848540i	0.968663	+	0.248377i	$0.0798973\pi$
$997$	5.32944	+	26.7929i	0.168785	+	0.848540i	−0.799878	+	0.600162i	$0.795103\pi$
$998$	−4.04637	+	2.70370i	−0.128086	+	0.0855840i
$999$	−14.3858	+	14.3858i	−0.455147	+	0.455147i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.o.a.63.1	yes	32
5.2	odd	4		170.2.r.a.97.1	yes	32
5.3	odd	4		850.2.v.c.607.4		32
5.4	even	2		850.2.s.c.743.4		32
17.10	odd	16		170.2.r.a.163.1	yes	32
85.27	even	16	inner	170.2.o.a.27.1	✓	32
85.44	odd	16		850.2.v.c.843.4		32
85.78	even	16		850.2.s.c.707.4		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.a.27.1	✓	32	85.27	even	16	inner
170.2.o.a.63.1	yes	32	1.1	even	1	trivial
170.2.r.a.97.1	yes	32	5.2	odd	4
170.2.r.a.163.1	yes	32	17.10	odd	16
850.2.s.c.707.4		32	85.78	even	16
850.2.s.c.743.4		32	5.4	even	2
850.2.v.c.607.4		32	5.3	odd	4
850.2.v.c.843.4		32	85.44	odd	16

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)

\(f(q)\)	\(=\)	\(q+(0.923880 + 0.382683i) q^{2} +(-3.22346 - 0.641185i) q^{3} +(0.707107 + 0.707107i) q^{4} +(2.10251 - 0.761213i) q^{5} +(-2.73271 - 1.82594i) q^{6} +(1.37046 - 2.05104i) q^{7} +(0.382683 + 0.923880i) q^{8} +(7.20792 + 2.98562i) q^{9} +O(q^{10})\)	\(q+(0.923880 + 0.382683i) q^{2} +(-3.22346 - 0.641185i) q^{3} +(0.707107 + 0.707107i) q^{4} +(2.10251 - 0.761213i) q^{5} +(-2.73271 - 1.82594i) q^{6} +(1.37046 - 2.05104i) q^{7} +(0.382683 + 0.923880i) q^{8} +(7.20792 + 2.98562i) q^{9} +(2.23377 + 0.101327i) q^{10} +(2.38522 - 3.56973i) q^{11} +(-1.82594 - 2.73271i) q^{12} -1.04167i q^{13} +(2.05104 - 1.37046i) q^{14} +(-7.26543 + 1.10564i) q^{15} +1.00000i q^{16} +(-3.07201 + 2.75005i) q^{17} +(5.51670 + 5.51670i) q^{18} +(-2.96706 + 1.22900i) q^{19} +(2.02496 + 0.948441i) q^{20} +(-5.73272 + 5.73272i) q^{21} +(3.56973 - 2.38522i) q^{22} +(0.147204 + 0.740046i) q^{23} +(-0.641185 - 3.22346i) q^{24} +(3.84111 - 3.20092i) q^{25} +(0.398630 - 0.962378i) q^{26} +(-13.1219 - 8.76779i) q^{27} +(2.41937 - 0.481242i) q^{28} +(0.174252 + 0.0346608i) q^{29} +(-7.13549 - 1.75888i) q^{30} +(4.06364 + 6.08166i) q^{31} +(-0.382683 + 0.923880i) q^{32} +(-9.97751 + 9.97751i) q^{33} +(-3.89056 + 1.36510i) q^{34} +(1.32013 - 5.35555i) q^{35} +(2.98562 + 7.20792i) q^{36} +(0.251498 - 1.26436i) q^{37} -3.21153 q^{38} +(-0.667904 + 3.35778i) q^{39} +(1.50787 + 1.65116i) q^{40} +(-5.98908 + 1.19130i) q^{41} +(-7.49016 + 3.10253i) q^{42} +(-3.23724 + 1.34091i) q^{43} +(4.21079 - 0.837577i) q^{44} +(17.4274 + 0.790530i) q^{45} +(-0.147204 + 0.740046i) q^{46} -1.87553 q^{47} +(0.641185 - 3.22346i) q^{48} +(0.350182 + 0.845413i) q^{49} +(4.77366 - 1.48734i) q^{50} +(11.6658 - 6.89493i) q^{51} +(0.736573 - 0.736573i) q^{52} +(1.33190 - 3.21548i) q^{53} +(-8.76779 - 13.1219i) q^{54} +(2.29762 - 9.32106i) q^{55} +(2.41937 + 0.481242i) q^{56} +(10.3522 - 2.05918i) q^{57} +(0.147723 + 0.0987056i) q^{58} +(-3.48263 + 8.40781i) q^{59} +(-5.91924 - 4.35563i) q^{60} +(-1.70566 - 8.57493i) q^{61} +(1.42696 + 7.17381i) q^{62} +(16.0018 - 10.6921i) q^{63} +(-0.707107 + 0.707107i) q^{64} +(-0.792934 - 2.19012i) q^{65} +(-13.0362 + 5.39979i) q^{66} +(11.5185 + 11.5185i) q^{67} +(-4.11682 - 0.227662i) q^{68} -2.47989i q^{69} +(3.26912 - 4.44269i) q^{70} +(-7.90097 + 5.27926i) q^{71} +7.80179i q^{72} +(5.61026 + 8.39634i) q^{73} +(0.716204 - 1.07188i) q^{74} +(-14.4340 + 7.85516i) q^{75} +(-2.96706 - 1.22900i) q^{76} +(-4.05281 - 9.78436i) q^{77} +(-1.90203 + 2.84659i) q^{78} +(-4.62906 - 3.09304i) q^{79} +(0.761213 + 2.10251i) q^{80} +(20.1261 + 20.1261i) q^{81} +(-5.98908 - 1.19130i) q^{82} +(-5.58451 - 2.31318i) q^{83} -8.10729 q^{84} +(-4.36556 + 8.12046i) q^{85} -3.50396 q^{86} +(-0.539469 - 0.223455i) q^{87} +(4.21079 + 0.837577i) q^{88} +(-1.46932 - 1.46932i) q^{89} +(15.7983 + 7.39954i) q^{90} +(-2.13651 - 1.42757i) q^{91} +(-0.419203 + 0.627381i) q^{92} +(-9.19949 - 22.2095i) q^{93} +(-1.73276 - 0.717734i) q^{94} +(-5.30276 + 4.84255i) q^{95} +(1.82594 - 2.73271i) q^{96} +(-0.783232 - 1.17219i) q^{97} +0.915068i q^{98} +(27.8503 - 18.6090i) 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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