LMFDB - Embedded newform 252.2.o.a.95.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(95,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 5, 4]))

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

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

chi := DirichletCharacter("252.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.o (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			95.17
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.612119 + 1.27488i) q^{2} +(-1.50043 - 0.865277i) q^{3} +(-1.25062 - 1.56075i) q^{4} -1.15027i q^{5} +(2.02156 - 1.38321i) q^{6} +(-0.422424 + 2.61181i) q^{7} +(2.75529 - 0.639023i) q^{8} +(1.50259 + 2.59658i) q^{9} +O(q^{10})$	\(q+(-0.612119 + 1.27488i) q^{2} +(-1.50043 - 0.865277i) q^{3} +(-1.25062 - 1.56075i) q^{4} -1.15027i q^{5} +(2.02156 - 1.38321i) q^{6} +(-0.422424 + 2.61181i) q^{7} +(2.75529 - 0.639023i) q^{8} +(1.50259 + 2.59658i) q^{9} +(1.46646 + 0.704103i) q^{10} -0.0412633 q^{11} +(0.525989 + 3.42394i) q^{12} +(-2.90716 + 5.03535i) q^{13} +(-3.07116 - 2.13728i) q^{14} +(-0.995305 + 1.72590i) q^{15} +(-0.871892 + 3.90382i) q^{16} +(2.56376 + 1.48019i) q^{17} +(-4.23008 + 0.326202i) q^{18} +(-6.29815 + 3.63624i) q^{19} +(-1.79529 + 1.43855i) q^{20} +(2.89376 - 3.55333i) q^{21} +(0.0252580 - 0.0526056i) q^{22} +6.09407 q^{23} +(-4.68706 - 1.42528i) q^{24} +3.67687 q^{25} +(-4.63993 - 6.78851i) q^{26} +(-0.00777159 - 5.19615i) q^{27} +(4.60468 - 2.60709i) q^{28} +(-6.45096 + 3.72446i) q^{29} +(-1.59107 - 2.32535i) q^{30} +(-1.84275 + 1.06391i) q^{31} +(-4.44319 - 3.50116i) q^{32} +(0.0619128 + 0.0357042i) q^{33} +(-3.45639 + 2.36243i) q^{34} +(3.00429 + 0.485903i) q^{35} +(2.17344 - 5.59251i) q^{36} +(3.94417 + 6.83150i) q^{37} +(-0.780541 - 10.2552i) q^{38} +(8.71898 - 5.03970i) q^{39} +(-0.735050 - 3.16934i) q^{40} +(-2.02586 - 1.16963i) q^{41} +(2.75873 + 5.86425i) q^{42} +(4.07080 - 2.35028i) q^{43} +(0.0516048 + 0.0644018i) q^{44} +(2.98677 - 1.72839i) q^{45} +(-3.73030 + 7.76919i) q^{46} +(0.200258 - 0.346857i) q^{47} +(4.68610 - 5.10299i) q^{48} +(-6.64312 - 2.20658i) q^{49} +(-2.25068 + 4.68756i) q^{50} +(-2.56598 - 4.43929i) q^{51} +(11.4947 - 1.75996i) q^{52} +(-5.08527 - 2.93598i) q^{53} +(6.62920 + 3.17075i) q^{54} +0.0474640i q^{55} +(0.505105 + 7.46625i) q^{56} +(12.5963 - 0.00627986i) q^{57} +(-0.799479 - 10.5040i) q^{58} +(5.20686 + 9.01855i) q^{59} +(3.93846 - 0.605030i) q^{60} +(0.683864 - 1.18449i) q^{61} +(-0.228375 - 3.00052i) q^{62} +(-7.41650 + 2.82762i) q^{63} +(7.18330 - 3.52139i) q^{64} +(5.79203 + 3.34403i) q^{65} +(-0.0834165 + 0.0570760i) q^{66} +(-0.828850 + 0.478537i) q^{67} +(-0.896089 - 5.85255i) q^{68} +(-9.14374 - 5.27306i) q^{69} +(-2.45845 + 3.53267i) q^{70} +1.28212 q^{71} +(5.79935 + 6.19415i) q^{72} +(1.36920 - 2.37152i) q^{73} +(-11.1236 + 0.846640i) q^{74} +(-5.51690 - 3.18152i) q^{75} +(13.5519 + 5.28229i) q^{76} +(0.0174306 - 0.107772i) q^{77} +(1.08795 + 14.2005i) q^{78} +(-5.87570 - 3.39234i) q^{79} +(4.49045 + 1.00291i) q^{80} +(-4.48445 + 7.80319i) q^{81} +(2.73120 - 1.86677i) q^{82} +(-6.87088 - 11.9007i) q^{83} +(-9.16486 - 0.0725697i) q^{84} +(1.70262 - 2.94902i) q^{85} +(0.504501 + 6.62841i) q^{86} +(12.9019 - 0.00643222i) q^{87} +(-0.113693 + 0.0263682i) q^{88} +(0.578834 - 0.334190i) q^{89} +(0.375221 + 4.86574i) q^{90} +(-11.9233 - 9.72001i) q^{91} +(-7.62138 - 9.51134i) q^{92} +(3.68550 - 0.00183740i) q^{93} +(0.319618 + 0.467622i) q^{94} +(4.18266 + 7.24459i) q^{95} +(3.63723 + 9.09783i) q^{96} +(-2.04166 - 3.53626i) q^{97} +(6.87950 - 7.11846i) q^{98} +(-0.0620018 - 0.107143i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	−0.612119	+	1.27488i	−0.432833	+	0.901474i
$2$	−0.612119	+	1.27488i	−0.432833	+	0.901474i
$3$	−1.50043	−	0.865277i	−0.866275	−	0.499568i
$3$	−1.50043	−	0.865277i	−0.866275	−	0.499568i
$4$	−1.25062	−	1.56075i	−0.625311	−	0.780376i
$5$		−	1.15027i		−	0.514417i	−0.966356	−	0.257209i	$-0.917197\pi$
$5$		−	1.15027i		−	0.514417i	0.966356	−	0.257209i	$-0.0828028\pi$
$6$	2.02156	−	1.38321i	0.825300	−	0.564694i
$7$	−0.422424	+	2.61181i	−0.159661	+	0.987172i
$7$	−0.422424	+	2.61181i	−0.159661	+	0.987172i
$8$	2.75529	−	0.639023i	0.974144	−	0.225929i
$9$	1.50259	+	2.59658i	0.500863	+	0.865526i
$10$	1.46646	+	0.704103i	0.463734	+	0.222657i
$11$	−0.0412633			−0.0124414			−0.00622068	−	0.999981i	$-0.501980\pi$
$11$	−0.0412633			−0.0124414			−0.00622068	+	0.999981i	$0.501980\pi$
$12$	0.525989	+	3.42394i	0.151840	+	0.988405i
$13$	−2.90716	+	5.03535i	−0.806302	+	1.39656i	0.109107	+	0.994030i	$0.465201\pi$
$13$	−2.90716	+	5.03535i	−0.806302	+	1.39656i	−0.915409	+	0.402526i	$0.868132\pi$
$14$	−3.07116	−	2.13728i	−0.820803	−	0.571211i
$15$	−0.995305	+	1.72590i	−0.256987	+	0.445627i
$16$	−0.871892	+	3.90382i	−0.217973	+	0.975955i
$17$	2.56376	+	1.48019i	0.621804	+	0.358999i	0.777571	−	0.628795i	$-0.216452\pi$
$17$	2.56376	+	1.48019i	0.621804	+	0.358999i	−0.155767	+	0.987794i	$0.549785\pi$
$18$	−4.23008	+	0.326202i	−0.997040	+	0.0768866i
$19$	−6.29815	+	3.63624i	−1.44489	+	0.834210i	−0.998171	−	0.0604613i	$-0.980743\pi$
$19$	−6.29815	+	3.63624i	−1.44489	+	0.834210i	−0.446724	+	0.894672i	$0.647409\pi$
$20$	−1.79529	+	1.43855i	−0.401439	+	0.321671i
$21$	2.89376	−	3.55333i	0.631470	−	0.775400i
$22$	0.0252580	−	0.0526056i	0.00538503	−	0.0112156i
$23$	6.09407			1.27070			0.635351	−	0.772223i	$-0.280855\pi$
$23$	6.09407			1.27070			0.635351	+	0.772223i	$0.280855\pi$
$24$	−4.68706	−	1.42528i	−0.956743	−	0.290935i
$25$	3.67687			0.735375
$26$	−4.63993	−	6.78851i	−0.909964	−	1.33134i
$27$	−0.00777159	−	5.19615i	−0.00149564	−	0.999999i
$28$	4.60468	−	2.60709i	0.870203	−	0.492693i
$29$	−6.45096	+	3.72446i	−1.19791	+	0.691615i	−0.960089	−	0.279693i	$-0.909767\pi$
$29$	−6.45096	+	3.72446i	−1.19791	+	0.691615i	−0.237823	+	0.971308i	$0.576434\pi$
$30$	−1.59107	−	2.32535i	−0.290489	−	0.424549i
$31$	−1.84275	+	1.06391i	−0.330967	+	0.191084i	−0.656270	−	0.754526i	$-0.727867\pi$
$31$	−1.84275	+	1.06391i	−0.330967	+	0.191084i	0.325303	+	0.945610i	$0.394534\pi$
$32$	−4.44319	−	3.50116i	−0.785452	−	0.618923i
$33$	0.0619128	+	0.0357042i	0.0107776	+	0.00621531i
$34$	−3.45639	+	2.36243i	−0.592765	+	0.405153i
$35$	3.00429	+	0.485903i	0.507818	+	0.0821325i
$36$	2.17344	−	5.59251i	0.362241	−	0.932085i
$37$	3.94417	+	6.83150i	0.648417	+	1.12309i	0.983501	+	0.180903i	$0.0579021\pi$
$37$	3.94417	+	6.83150i	0.648417	+	1.12309i	−0.335084	+	0.942188i	$0.608765\pi$
$38$	−0.780541	−	10.2552i	−0.126620	−	1.66361i
$39$	8.71898	−	5.03970i	1.39615	−	0.806998i
$40$	−0.735050	−	3.16934i	−0.116222	−	0.501116i
$41$	−2.02586	−	1.16963i	−0.316386	−	0.182665i	0.333395	−	0.942787i	$-0.391806\pi$
$41$	−2.02586	−	1.16963i	−0.316386	−	0.182665i	−0.649780	+	0.760122i	$0.725139\pi$
$42$	2.75873	+	5.86425i	0.425682	+	0.904873i
$43$	4.07080	−	2.35028i	0.620791	−	0.358414i	−0.156386	−	0.987696i	$-0.549984\pi$
$43$	4.07080	−	2.35028i	0.620791	−	0.358414i	0.777177	+	0.629282i	$0.216651\pi$
$44$	0.0516048	+	0.0644018i	0.00777972	+	0.00970894i
$45$	2.98677	−	1.72839i	0.445242	−	0.257653i
$46$	−3.73030	+	7.76919i	−0.550002	+	1.14550i
$47$	0.200258	−	0.346857i	0.0292106	−	0.0505943i	−0.851051	−	0.525084i	$-0.824034\pi$
$47$	0.200258	−	0.346857i	0.0292106	−	0.0505943i	0.880261	+	0.474489i	$0.157367\pi$
$48$	4.68610	−	5.10299i	0.676380	−	0.736552i
$49$	−6.64312	−	2.20658i	−0.949017	−	0.315226i
$50$	−2.25068	+	4.68756i	−0.318295	+	0.662921i
$51$	−2.56598	−	4.43929i	−0.359309	−	0.621625i
$52$	11.4947	−	1.75996i	1.59403	−	0.244063i
$53$	−5.08527	−	2.93598i	−0.698516	−	0.403288i	0.108278	−	0.994121i	$-0.465466\pi$
$53$	−5.08527	−	2.93598i	−0.698516	−	0.403288i	−0.806795	+	0.590832i	$0.798800\pi$
$54$	6.62920	+	3.17075i	0.902120	+	0.431484i
$55$			0.0474640i			0.00640005i
$56$	0.505105	+	7.46625i	0.0674974	+	0.997719i
$57$	12.5963	−	0.00627986i	1.66842	−	0.000831787i
$58$	−0.799479	−	10.5040i	−0.104977	−	1.37924i
$59$	5.20686	+	9.01855i	0.677875	+	1.17411i	0.975619	+	0.219469i	$0.0704325\pi$
$59$	5.20686	+	9.01855i	0.677875	+	1.17411i	−0.297744	+	0.954646i	$0.596234\pi$
$60$	3.93846	−	0.605030i	0.508453	−	0.0781090i
$61$	0.683864	−	1.18449i	0.0875598	−	0.151658i	−0.818919	−	0.573909i	$-0.805426\pi$
$61$	0.683864	−	1.18449i	0.0875598	−	0.151658i	0.906479	+	0.422251i	$0.138760\pi$
$62$	−0.228375	−	3.00052i	−0.0290037	−	0.381066i
$63$	−7.41650	+	2.82762i	−0.934392	+	0.356247i
$64$	7.18330	−	3.52139i	0.897912	−	0.440174i
$65$	5.79203	+	3.34403i	0.718412	+	0.414776i
$66$	−0.0834165	+	0.0570760i	−0.0102679	+	0.00702556i
$67$	−0.828850	+	0.478537i	−0.101260	+	0.0584626i	−0.549775	−	0.835313i	$-0.685287\pi$
$67$	−0.828850	+	0.478537i	−0.101260	+	0.0584626i	0.448515	+	0.893775i	$0.351953\pi$
$68$	−0.896089	−	5.85255i	−0.108667	−	0.709726i
$69$	−9.14374	−	5.27306i	−1.10078	−	0.634802i
$70$	−2.45845	+	3.53267i	−0.293841	+	0.422235i
$71$	1.28212			0.152159			0.0760796	−	0.997102i	$-0.475760\pi$
$71$	1.28212			0.152159			0.0760796	+	0.997102i	$0.475760\pi$
$72$	5.79935	+	6.19415i	0.683460	+	0.729988i
$73$	1.36920	−	2.37152i	0.160252	−	0.277565i	−0.774707	−	0.632321i	$-0.782103\pi$
$73$	1.36920	−	2.37152i	0.160252	−	0.277565i	0.934959	+	0.354756i	$0.115436\pi$
$74$	−11.1236	+	0.846640i	−1.29309	+	0.0984199i
$75$	−5.51690	−	3.18152i	−0.637037	−	0.367370i
$76$	13.5519	+	5.28229i	1.55451	+	0.605920i
$77$	0.0174306	−	0.107772i	0.00198640	−	0.0122818i
$78$	1.08795	+	14.2005i	0.123186	+	1.60789i
$79$	−5.87570	−	3.39234i	−0.661068	−	0.381668i	0.131616	−	0.991301i	$-0.457983\pi$
$79$	−5.87570	−	3.39234i	−0.661068	−	0.381668i	−0.792684	+	0.609633i	$0.791317\pi$
$80$	4.49045	+	1.00291i	0.502048	+	0.112129i
$81$	−4.48445	+	7.80319i	−0.498272	+	0.867021i
$82$	2.73120	−	1.86677i	0.301610	−	0.206150i
$83$	−6.87088	−	11.9007i	−0.754177	−	1.30627i	−0.945782	−	0.324801i	$-0.894703\pi$
$83$	−6.87088	−	11.9007i	−0.754177	−	1.30627i	0.191605	−	0.981472i	$-0.438631\pi$
$84$	−9.16486	−	0.0725697i	−0.999969	−	0.00791801i
$85$	1.70262	−	2.94902i	0.184675	−	0.319867i
$86$	0.504501	+	6.62841i	0.0544017	+	0.714760i
$87$	12.9019	−	0.00643222i	1.38323	−	0.000689606i
$88$	−0.113693	+	0.0263682i	−0.0121197	+	0.00281086i
$89$	0.578834	−	0.334190i	0.0613562	−	0.0354240i	−0.469008	−	0.883194i	$-0.655388\pi$
$89$	0.578834	−	0.334190i	0.0613562	−	0.0354240i	0.530364	+	0.847770i	$0.322055\pi$
$90$	0.375221	+	4.86574i	0.0395518	+	0.512895i
$91$	−11.9233	−	9.72001i	−1.24991	−	1.01893i
$92$	−7.62138	−	9.51134i	−0.794584	−	0.991625i
$93$	3.68550	−	0.00183740i	0.382168	−	0.000190529i
$94$	0.319618	+	0.467622i	0.0329661	+	0.0482315i
$95$	4.18266	+	7.24459i	0.429132	+	0.743279i
$96$	3.63723	+	9.09783i	0.371223	+	0.928544i
$97$	−2.04166	−	3.53626i	−0.207299	−	0.359053i	0.743563	−	0.668665i	$-0.233134\pi$
$97$	−2.04166	−	3.53626i	−0.207299	−	0.359053i	−0.950863	+	0.309612i	$0.899801\pi$
$98$	6.87950	−	7.11846i	0.694934	−	0.719073i
$99$	−0.0620018	−	0.107143i	−0.00623142	−	0.0107683i
$100$	−4.59838	−	5.73869i	−0.459838	−	0.573869i
$101$		−	13.4379i		−	1.33712i	−0.743660	−	0.668558i	$-0.766912\pi$
$101$		−	13.4379i		−	1.33712i	0.743660	−	0.668558i	$-0.233088\pi$
$102$	7.23023	−	0.553932i	0.715899	−	0.0548474i
$103$			11.1744i			1.10105i	0.834820	+	0.550523i	$0.185572\pi$
$103$			11.1744i			1.10105i	−0.834820	+	0.550523i	$0.814428\pi$
$104$	−4.79238	+	15.7316i	−0.469932	+	1.54261i
$105$	−4.08730	−	3.32861i	−0.398879	−	0.324839i
$106$	6.85581	−	4.68593i	0.665895	−	0.455137i
$107$	5.65631	+	9.79702i	0.546816	+	0.947114i	0.998490	+	0.0549307i	$0.0174938\pi$
$107$	5.65631	+	9.79702i	0.546816	+	0.947114i	−0.451674	+	0.892183i	$0.649173\pi$
$108$	−8.10018	+	6.51054i	−0.779440	+	0.626477i
$109$	2.33792	−	4.04939i	0.223932	−	0.387861i	−0.732067	−	0.681233i	$-0.761444\pi$
$109$	2.33792	−	4.04939i	0.223932	−	0.387861i	0.955998	+	0.293372i	$0.0947774\pi$
$110$	−0.0605108	−	0.0290536i	−0.00576948	−	0.00277015i
$111$	−0.00681166	−	13.6630i	−0.000646534	−	1.29683i
$112$	−9.82773	−	3.92628i	−0.928633	−	0.370999i
$113$	0.248562	+	0.143507i	0.0233827	+	0.0135000i	0.511646	−	0.859196i	$-0.329036\pi$
$113$	0.248562	+	0.143507i	0.0233827	+	0.0135000i	−0.488263	+	0.872696i	$0.662369\pi$
$114$	−7.70242	+	16.0626i	−0.721398	+	1.50440i
$115$		−	7.00984i		−	0.653671i
$116$	13.8807	+	5.41045i	1.28879	+	0.502348i
$117$	−17.4430	+	0.0173923i	−1.61260	+	0.00160792i
$118$	−14.6848	+	1.11768i	−1.35184	+	0.102891i
$119$	−4.94897	+	6.07080i	−0.453671	+	0.556509i
$120$	−1.63946	+	5.39140i	−0.149662	+	0.492165i
$121$	−10.9983			−0.999845
$122$	1.09147	+	1.59689i	0.0988169	+	0.144575i
$123$	2.02761	+	3.50788i	0.182823	+	0.316295i
$124$	3.96508	+	1.54552i	0.356075	+	0.138792i
$125$		−	9.98077i		−	0.892707i
$126$	0.934910	−	11.1860i	0.0832884	−	0.996525i
$127$			13.0105i			1.15449i	0.816570	+	0.577246i	$0.195873\pi$
$127$			13.0105i			1.15449i	−0.816570	+	0.577246i	$0.804127\pi$
$128$	0.0923110	+	11.3133i	0.00815921	+	0.999967i
$129$	−8.14159	+	0.00405897i	−0.716827	+	0.000357373i
$130$	−7.80863	+	5.33718i	−0.684862	+	0.468101i
$131$	−0.312628			−0.0273145			−0.0136572	−	0.999907i	$-0.504347\pi$
$131$	−0.312628			−0.0273145			−0.0136572	+	0.999907i	$0.504347\pi$
$132$	−0.0217040	−	0.141283i	−0.00188909	−	0.0122971i
$133$	−6.83668	−	17.9856i	−0.592815	−	1.55955i
$134$	−0.102721	−	1.34960i	−0.00887373	−	0.116588i
$135$	−5.97698	+	0.00893944i	−0.514417	+	0.000769384i
$136$	8.00980	+	2.44005i	0.686834	+	0.209233i
$137$		−	9.07367i		−	0.775216i	−0.921824	−	0.387608i	$-0.873301\pi$
$137$		−	9.07367i		−	0.775216i	0.921824	−	0.387608i	$-0.126699\pi$
$138$	12.3196	−	8.42940i	1.04871	−	0.717558i
$139$	0.645404	+	0.372624i	0.0547424	+	0.0316056i	0.527121	−	0.849790i	$-0.323271\pi$
$139$	0.645404	+	0.372624i	0.0547424	+	0.0316056i	−0.472379	+	0.881396i	$0.656605\pi$
$140$	−2.99886	−	5.29664i	−0.253450	−	0.447647i
$141$	−0.600601	+	0.347157i	−0.0505797	+	0.0292359i
$142$	−0.784807	+	1.63454i	−0.0658596	+	0.137168i
$143$	0.119959	−	0.207775i	0.0100315	−	0.0173751i
$144$	−11.4467	+	3.60190i	−0.953889	+	0.300159i
$145$	4.28415	+	7.42036i	0.355779	+	0.616227i
$146$	2.18528	+	3.19721i	0.180855	+	0.264603i
$147$	8.05823	+	9.05897i	0.664632	+	0.747171i
$148$	5.72961	−	14.6995i	0.470971	−	1.20829i
$149$			15.0297i			1.23128i	0.788028	+	0.615640i	$0.211102\pi$
$149$			15.0297i			1.23128i	−0.788028	+	0.615640i	$0.788898\pi$
$150$	7.43304	−	5.08590i	0.606905	−	0.415262i
$151$			10.6547i			0.867066i	0.901138	+	0.433533i	$0.142733\pi$
$151$			10.6547i			0.867066i	−0.901138	+	0.433533i	$0.857267\pi$
$152$	−15.0296	+	14.0436i	−1.21906	+	1.13908i
$153$	0.00885534	+	8.88113i	0.000715912	+	0.717997i
$154$	0.126726	+	0.0881911i	0.0102119	+	0.00710665i
$155$	1.22379	+	2.11966i	0.0982970	+	0.170255i
$156$	−18.7699	−	7.30540i	−1.50279	−	0.584900i
$157$	5.37278	+	9.30593i	0.428795	+	0.742694i	0.996766	−	0.0803539i	$-0.0256050\pi$
$157$	5.37278	+	9.30593i	0.428795	+	0.742694i	−0.567972	+	0.823048i	$0.692272\pi$
$158$	7.92143	−	5.41428i	0.630195	−	0.430737i
$159$	5.08966	+	8.80542i	0.403637	+	0.698315i
$160$	−4.02728	+	5.11087i	−0.318385	+	0.404050i
$161$	−2.57428	+	15.9166i	−0.202882	+	1.25440i
$162$	−7.20309	−	10.4936i	−0.565928	−	0.824455i
$163$	10.5970	−	6.11821i	0.830025	−	0.479215i	−0.0238365	−	0.999716i	$-0.507588\pi$
$163$	10.5970	−	6.11821i	0.830025	−	0.479215i	0.853861	+	0.520501i	$0.174255\pi$
$164$	0.708080	+	4.62462i	0.0552918	+	0.361123i
$165$	0.0410696	−	0.0712166i	0.00319726	−	0.00554420i
$166$	19.3777	−	1.47488i	1.50400	−	0.114473i
$167$	−4.78444	+	8.28690i	−0.370231	+	0.641259i	−0.989601	−	0.143840i	$-0.954055\pi$
$167$	−4.78444	+	8.28690i	−0.370231	+	0.641259i	0.619370	+	0.785100i	$0.287388\pi$
$168$	5.70250	−	11.6397i	0.439958	−	0.898019i
$169$	−10.4032	−	18.0188i	−0.800245	−	1.38607i
$170$	2.71744	+	3.97578i	0.208418	+	0.304929i
$171$	−18.9053	−	10.8899i	−1.44573	−	0.832769i
$172$	−8.75922	−	3.41420i	−0.667884	−	0.260330i
$173$	17.6264	+	10.1766i	1.34011	+	0.773711i	0.986823	−	0.161804i	$-0.0517314\pi$
$173$	17.6264	+	10.1766i	1.34011	+	0.773711i	0.353285	+	0.935516i	$0.385065\pi$
$174$	−7.88930	+	16.4523i	−0.598086	+	1.24724i
$175$	−1.55320	+	9.60330i	−0.117411	+	0.725941i
$176$	0.0359772	−	0.161085i	0.00271188	−	0.0121422i
$177$	−0.00899235	−	18.0371i	−0.000675906	−	1.35575i
$178$	0.0717359	+	0.942505i	0.00537683	+	0.0706438i
$179$	11.8952	−	20.6031i	0.889089	−	1.53995i	0.0481342	−	0.998841i	$-0.484672\pi$
$179$	11.8952	−	20.6031i	0.889089	−	1.53995i	0.840954	−	0.541106i	$-0.181994\pi$
$180$	−6.43291	−	2.50005i	−0.479480	−	0.186343i
$181$	15.3783			1.14306			0.571530	−	0.820581i	$-0.306350\pi$
$181$	15.3783			1.14306			0.571530	+	0.820581i	$0.306350\pi$
$182$	19.6903	−	9.25098i	1.45954	−	0.685728i
$183$	−2.05100	+	1.18551i	−0.151614	+	0.0876354i
$184$	16.7910	−	3.89425i	1.23785	−	0.287088i
$185$	7.85808	−	4.53687i	0.577738	−	0.333557i
$186$	−2.25362	+	4.69968i	−0.165243	+	0.344597i
$187$	−0.105789	−	0.0610775i	−0.00773608	−	0.00446643i
$188$	−0.791805	+	0.121234i	−0.0577483	+	0.00884189i
$189$	13.5746	+	2.17468i	0.987410	+	0.158185i
$190$	−11.7962	+	0.897834i	−0.855789	+	0.0651358i
$191$	3.32512	−	5.75927i	0.240597	−	0.416727i	−0.720287	−	0.693676i	$-0.755990\pi$
$191$	3.32512	−	5.75927i	0.240597	−	0.416727i	0.960885	+	0.276949i	$0.0893234\pi$
$192$	−13.8250	−	0.931937i	−0.997736	−	0.0672568i
$193$	3.07378	+	5.32394i	0.221255	+	0.383226i	0.955189	−	0.295995i	$-0.0956512\pi$
$193$	3.07378	+	5.32394i	0.221255	+	0.383226i	−0.733934	+	0.679221i	$0.762318\pi$
$194$	5.75804	−	0.438256i	0.413403	−	0.0314649i
$195$	−5.79703	−	10.0292i	−0.415134	−	0.718206i
$196$	4.86409	+	13.1279i	0.347435	+	0.937704i
$197$			13.2243i			0.942196i	0.882081	+	0.471098i	$0.156142\pi$
$197$			13.2243i			0.942196i	−0.882081	+	0.471098i	$0.843858\pi$
$198$	0.174547	−	0.0134602i	0.0124045	−	0.000956574i
$199$	14.4456	+	8.34019i	1.02402	+	0.591221i	0.915267	−	0.402848i	$-0.131980\pi$
$199$	14.4456	+	8.34019i	1.02402	+	0.591221i	0.108757	+	0.994068i	$0.465313\pi$
$200$	10.1309	−	2.34961i	0.716361	−	0.166142i
$201$	1.65770		0.000826443i	0.116925		5.82928e-5i
$202$	17.1316	+	8.22556i	1.20538	+	0.578748i
$203$	−7.00255	−	18.4220i	−0.491483	−	1.29297i
$204$	−3.71956	+	9.55672i	−0.260421	+	0.669104i
$205$	−1.34539	+	2.33029i	−0.0939663	+	0.162754i
$206$	−14.2460	−	6.84006i	−0.992565	−	0.476569i
$207$	9.15689	+	15.8237i	0.636448	+	1.09983i
$208$	−17.1224	−	15.7393i	−1.18722	−	1.09133i
$209$	0.259883	−	0.150043i	0.0179765	−	0.0103787i
$210$	6.74548	−	3.17329i	0.465482	−	0.218978i
$211$	−1.95991	−	1.13155i	−0.134926	−	0.0778994i	0.431018	−	0.902343i	$-0.358155\pi$
$211$	−1.95991	−	1.13155i	−0.134926	−	0.0778994i	−0.565943	+	0.824444i	$0.691488\pi$
$212$	1.77741	+	11.6087i	0.122073	+	0.797286i
$213$	−1.92373	−	1.10939i	−0.131812	−	0.0760139i
$214$	−15.9523	+	1.21416i	−1.09048	+	0.0829984i
$215$	−2.70346	−	4.68252i	−0.184374	−	0.319345i
$216$	−3.34187	−	14.3119i	−0.227385	−	0.973805i
$217$	−2.00031	−	5.26233i	−0.135790	−	0.357230i
$218$	3.73139	+	5.45926i	0.252722	+	0.369748i
$219$	−4.10640	+	2.37356i	−0.277485	+	0.160391i
$220$	0.0740796	−	0.0593596i	0.00499445	−	0.00400202i
$221$	−14.9066	+	8.60630i	−1.00272	+	0.578922i
$222$	17.4228	+	8.35469i	1.16934	+	0.560730i
$223$	8.78900	−	5.07433i	0.588555	−	0.339802i	−0.175971	−	0.984395i	$-0.556306\pi$
$223$	8.78900	−	5.07433i	0.588555	−	0.339802i	0.764526	+	0.644593i	$0.222973\pi$
$224$	11.0213	−	10.1258i	0.736389	−	0.676558i
$225$	5.52483	+	9.54730i	0.368322	+	0.636486i
$226$	−0.335103	+	0.229042i	−0.0222907	+	0.0152357i
$227$	−2.93509			−0.194809			−0.0974044	−	0.995245i	$-0.531054\pi$
$227$	−2.93509			−0.194809			−0.0974044	+	0.995245i	$0.531054\pi$
$228$	−15.7630	−	19.6518i	−1.04393	−	1.30148i
$229$	0.443757			0.0293243			0.0146622	−	0.999893i	$-0.495333\pi$
$229$	0.443757			0.0293243			0.0146622	+	0.999893i	$0.495333\pi$
$230$	8.93669	+	4.29086i	0.589268	+	0.282931i
$231$	−0.119406	+	0.146622i	−0.00785635	+	0.00964703i
$232$	−15.3943	+	14.3843i	−1.01068	+	0.944376i
$233$	13.3304	−	7.69631i	0.873304	−	0.504202i	0.00485893	−	0.999988i	$-0.498453\pi$
$233$	13.3304	−	7.69631i	0.873304	−	0.504202i	0.868445	+	0.495786i	$0.165120\pi$
$234$	10.6550	−	22.2483i	0.696539	−	1.45442i
$235$	−0.398980	−	0.230351i	−0.0260266	−	0.0150265i
$236$	7.56390	−	19.4054i	0.492368	−	1.26318i
$237$	5.88077	+	10.1741i	0.381997	+	0.660877i
$238$	−4.71016	−	10.0254i	−0.305314	−	0.649849i
$239$	−4.34671	+	7.52872i	−0.281165	+	0.486992i	−0.971672	−	0.236334i	$-0.924054\pi$
$239$	−4.34671	+	7.52872i	−0.281165	+	0.486992i	0.690507	+	0.723326i	$0.257388\pi$
$240$	−5.86982	−	5.39029i	−0.378895	−	0.347942i
$241$	−3.57518			−0.230298			−0.115149	−	0.993348i	$-0.536735\pi$
$241$	−3.57518			−0.230298			−0.115149	+	0.993348i	$0.536735\pi$
$242$	6.73226	−	14.0215i	0.432766	−	0.901334i
$243$	13.4805	−	7.82786i	0.864776	−	0.502157i
$244$	−2.70394	+	0.414003i	−0.173102	+	0.0265038i
$245$	−2.53817	+	7.64139i	−0.162158	+	0.488191i
$246$	−5.71325	+	0.437711i	−0.364263	+	0.0279074i
$247$		−	42.2845i		−	2.69050i
$248$	−4.39745	+	4.10895i	−0.279238	+	0.260918i
$249$	0.0118661	+	23.8014i	0.000751987	+	1.50835i
$250$	12.7242	+	6.10941i	0.804752	+	0.386393i
$251$	−16.4516			−1.03842			−0.519209	−	0.854647i	$-0.673773\pi$
$251$	−16.4516			−1.03842			−0.519209	+	0.854647i	$0.673773\pi$
$252$	13.6885	+	8.03904i	0.862292	+	0.506412i
$253$	−0.251462			−0.0158093
$254$	−16.5867	−	7.96395i	−1.04074	−	0.499703i
$255$	−5.10639	+	2.95157i	−0.319775	+	0.184835i
$256$	−14.4796	−	6.80742i	−0.904976	−	0.425464i
$257$		−	25.6115i		−	1.59760i	−0.601597	−	0.798800i	$-0.705469\pi$
$257$		−	25.6115i		−	1.59760i	0.601597	−	0.798800i	$-0.294531\pi$
$258$	4.97845	−	10.3820i	0.309945	−	0.646356i
$259$	−19.5087	+	7.41563i	−1.21221	+	0.460785i
$260$	−2.02443	−	13.2220i	−0.125550	−	0.819995i
$261$	−19.3640	−	11.1541i	−1.19860	−	0.690421i
$262$	0.191366	−	0.398563i	0.0118226	−	0.0246233i
$263$	12.9001			0.795453			0.397727	−	0.917504i	$-0.369799\pi$
$263$	12.9001			0.795453			0.397727	+	0.917504i	$0.369799\pi$
$264$	0.193404	+	0.0588120i	0.0119032	+	0.00361963i
$265$	−3.37718	+	5.84945i	−0.207459	+	0.359329i
$266$	27.1143	+	2.29341i	1.66248	+	0.140618i
$267$	−1.15767		0.000577152i	−0.0708481		3.53211e-5i
$268$	1.78346	+	0.695161i	0.108942	+	0.0424637i
$269$	6.13886	+	3.54427i	0.374293	+	0.216098i	0.675332	−	0.737514i	$-0.264000\pi$
$269$	6.13886	+	3.54427i	0.374293	+	0.216098i	−0.301039	+	0.953612i	$0.597334\pi$
$270$	3.64723	−	7.62539i	0.221963	−	0.464066i
$271$	6.46932	−	3.73506i	0.392983	−	0.226889i	−0.290469	−	0.956884i	$-0.593811\pi$
$271$	6.46932	−	3.73506i	0.392983	−	0.226889i	0.683452	+	0.729996i	$0.260478\pi$
$272$	−8.01371	+	8.71790i	−0.485903	+	0.528600i
$273$	9.47964	+	24.9012i	0.573734	+	1.50709i
$274$	11.5678	+	5.55416i	0.698837	+	0.335539i
$275$	−0.151720			−0.00914906
$276$	3.20541	+	20.8657i	0.192943	+	1.25597i
$277$	21.5236			1.29323			0.646614	−	0.762817i	$-0.276184\pi$
$277$	21.5236			1.29323			0.646614	+	0.762817i	$0.276184\pi$
$278$	−0.870114	+	0.594720i	−0.0521859	+	0.0356689i
$279$	−5.53142	−	3.18622i	−0.331158	−	0.190754i
$280$	8.58822	−	0.581008i	0.513244	−	0.0347219i
$281$	−5.67950	+	3.27906i	−0.338810	+	0.195612i	−0.659746	−	0.751489i	$-0.729336\pi$
$281$	−5.67950	+	3.27906i	−0.338810	+	0.195612i	0.320935	+	0.947101i	$0.396003\pi$
$282$	−0.0749427	−	0.978194i	−0.00446277	−	0.0582506i
$283$	7.06533	−	4.07917i	0.419990	−	0.242481i	−0.275083	−	0.961420i	$-0.588705\pi$
$283$	7.06533	−	4.07917i	0.419990	−	0.242481i	0.695073	+	0.718939i	$0.255372\pi$
$284$	−1.60344	−	2.00107i	−0.0951468	−	0.118741i
$285$	−0.00722354	−	14.4892i	−0.000427886	−	0.858264i
$286$	0.191459	+	0.280116i	0.0113212	+	0.0165636i
$287$	3.91062	−	4.79708i	0.230837	−	0.283163i
$288$	2.41474	−	16.7979i	0.142290	−	0.989825i
$289$	−4.11808	−	7.13272i	−0.242240	−	0.419572i
$290$	−12.0824	+	0.919618i	−0.709506	+	0.0540018i
$291$	0.00352599	+	7.07253i	0.000206697	+	0.414599i
$292$	−5.41369	+	0.828895i	−0.316812	+	0.0485074i
$293$	21.7642	+	12.5656i	1.27148	+	0.734089i	0.975266	−	0.221033i	$-0.0709427\pi$
$293$	21.7642	+	12.5656i	1.27148	+	0.734089i	0.296213	+	0.955122i	$0.404276\pi$
$294$	−16.4817	+	4.72809i	−0.961230	+	0.275748i
$295$	10.3738	−	5.98931i	0.603985	−	0.348711i
$296$	15.2328	+	16.3024i	0.885390	+	0.947557i
$297$	0.000320681		0.214410i	1.86078e−5		0.0124413i
$298$	−19.1610	−	9.19995i	−1.10997	−	0.532939i
$299$	−17.7165	+	30.6858i	−1.02457	+	1.77461i
$300$	1.93399	+	12.5894i	0.111659	+	0.726848i
$301$	4.41887	+	11.6250i	0.254700	+	0.670052i
$302$	−13.5834	−	6.52193i	−0.781638	−	0.375295i
$303$	−11.6275	+	20.1626i	−0.667981	+	1.15831i
$304$	−8.70391	−	27.7572i	−0.499204	−	1.59199i
$305$	−1.36248	−	0.786629i	−0.0780155	−	0.0450423i
$306$	−11.3278	−	5.42502i	−0.647565	−	0.310128i
$307$		−	12.1724i		−	0.694713i	−0.937733	−	0.347357i	$-0.887079\pi$
$307$		−	12.1724i		−	0.694713i	0.937733	−	0.347357i	$-0.112921\pi$
$308$	−0.190004	+	0.107577i	−0.0108265	+	0.00612978i
$309$	9.66896	−	16.7664i	0.550048	−	0.953808i
$310$	−3.45141	+	0.262693i	−0.196027	+	0.0149200i
$311$	−5.93771	−	10.2844i	−0.336697	−	0.583176i	0.647112	−	0.762395i	$-0.275976\pi$
$311$	−5.93771	−	10.2844i	−0.336697	−	0.583176i	−0.983809	+	0.179218i	$0.942643\pi$
$312$	20.8029	−	19.4575i	1.17773	−	1.10156i
$313$	−11.7248	+	20.3080i	−0.662728	+	1.14788i	0.317168	+	0.948369i	$0.397268\pi$
$313$	−11.7248	+	20.3080i	−0.662728	+	1.14788i	−0.979896	+	0.199509i	$0.936065\pi$
$314$	−15.1527	+	1.15330i	−0.855116	+	0.0650845i
$315$	3.25254	+	8.53100i	0.183260	+	0.480667i
$316$	2.05368	+	13.4130i	0.115529	+	0.754542i
$317$	−26.3181	−	15.1947i	−1.47817	−	0.853422i	−0.478475	−	0.878101i	$-0.658810\pi$
$317$	−26.3181	−	15.1947i	−1.47817	−	0.853422i	−0.999695	+	0.0246791i	$0.992144\pi$
$318$	−14.3413	+	1.09874i	−0.804220	+	0.0616140i
$319$	0.266188	−	0.153684i	0.0149037	−	0.00860463i
$320$	−4.05056	−	8.26275i	−0.226433	−	0.461902i
$321$	−0.00976856	−	19.5940i	−0.000545228	−	1.09363i
$322$	−18.7159	−	13.0247i	−1.04300	−	0.725839i
$323$	−21.5293			−1.19792
$324$	17.7872	−	2.75972i	0.988177	−	0.153318i
$325$	−10.6893	+	18.5144i	−0.592934	+	1.02699i
$326$	1.31331	+	17.2550i	0.0727375	+	0.955666i
$327$	−7.01173	+	4.05288i	−0.387749	+	0.224125i
$328$	−6.32926	−	1.92810i	−0.349475	−	0.106462i
$329$	0.821332	+	0.669557i	0.0452815	+	0.0369139i
$330$	0.0656529	+	0.0959516i	0.00361407	+	0.00528196i
$331$	26.1580	+	15.1023i	1.43777	+	0.830099i	0.997695	−	0.0678603i	$-0.0216172\pi$
$331$	26.1580	+	15.1023i	1.43777	+	0.830099i	0.440079	+	0.897959i	$0.354951\pi$
$332$	−9.98119	+	25.6070i	−0.547789	+	1.40537i
$333$	−11.8121	+	20.5063i	−0.647297	+	1.12374i
$334$	−7.63613	−	11.1721i	−0.417830	−	0.611312i
$335$	0.550448	+	0.953404i	0.0300742	+	0.0520900i
$336$	11.3485	+	14.3948i	0.619112	+	0.785303i
$337$	−10.9483	+	18.9630i	−0.596392	+	1.03298i	0.396957	+	0.917837i	$0.370066\pi$
$337$	−10.9483	+	18.9630i	−0.596392	+	1.03298i	−0.993349	+	0.115144i	$0.963267\pi$
$338$	29.3398	−	2.23311i	1.59587	−	0.121465i
$339$	−0.248776	−	0.430398i	−0.0135117	−	0.0233760i
$340$	−6.73203	+	1.03075i	−0.365096	+	0.0559001i
$341$	0.0760379	−	0.0439005i	0.00411768	−	0.00237735i
$342$	25.4555	−	17.4361i	1.37648	−	0.942834i
$343$	8.56939	−	16.4185i	0.462704	−	0.886513i
$344$	9.71437	−	9.07703i	0.523763	−	0.489401i
$345$	−6.06546	+	10.5178i	−0.326553	+	0.566259i
$346$	−23.7633	+	16.2422i	−1.27752	+	0.873184i
$347$	−14.7174	−	25.4913i	−0.790071	−	1.36844i	−0.925922	−	0.377714i	$-0.876710\pi$
$347$	−14.7174	−	25.4913i	−0.790071	−	1.36844i	0.135851	−	0.990729i	$-0.456623\pi$
$348$	−16.1455	−	20.1286i	−0.865487	−	1.07901i
$349$	10.4396	+	18.0819i	0.558817	+	0.967900i	0.997596	+	0.0693043i	$0.0220780\pi$
$349$	10.4396	+	18.0819i	0.558817	+	0.967900i	−0.438778	+	0.898595i	$0.644589\pi$
$350$	−11.2923	−	7.85850i	−0.603598	−	0.420054i
$351$	26.1870	+	15.0669i	1.39776	+	0.804212i
$352$	0.183341	+	0.144469i	0.00977209	+	0.00770024i
$353$			28.6371i			1.52420i	0.647458	+	0.762101i	$0.275832\pi$
$353$			28.6371i			1.52420i	−0.647458	+	0.762101i	$0.724168\pi$
$354$	23.0006	+	11.0294i	1.22247	+	0.586205i
$355$		−	1.47478i		−	0.0782733i
$356$	−1.24549	−	0.485471i	−0.0660108	−	0.0257299i
$357$	12.6785	−	4.82658i	0.671018	−	0.255450i
$358$	18.9851	+	27.7764i	1.00339	+	1.46803i
$359$	5.54691	+	9.60753i	0.292755	+	0.507066i	0.974460	−	0.224561i	$-0.0720947\pi$
$359$	5.54691	+	9.60753i	0.292755	+	0.507066i	−0.681705	+	0.731627i	$0.738761\pi$
$360$	7.12496	−	6.67083i	0.375518	−	0.351584i
$361$	16.9445	−	29.3487i	0.891814	−	1.54467i
$362$	−9.41334	+	19.6054i	−0.494754	+	1.03044i
$363$	16.5022	+	9.51658i	0.866140	+	0.499491i
$364$	−0.258948	+	30.7654i	−0.0135725	+	1.61255i
$365$	−2.72789	−	1.57495i	−0.142784	−	0.0824365i
$366$	−0.255923	−	3.34044i	−0.0133773	−	0.174608i
$367$		−	0.775412i		−	0.0404762i	−0.999795	−	0.0202381i	$-0.993558\pi$
$367$		−	0.775412i		−	0.0404762i	0.999795	−	0.0202381i	$-0.00644243\pi$
$368$	−5.31337	+	23.7902i	−0.276979	+	1.24015i
$369$	−0.00699739	−	7.01777i	−0.000364270	−	0.365331i
$370$	0.973866	+	12.7952i	0.0506289	+	0.665190i
$371$	9.81638	−	12.0415i	0.509641	−	0.625166i
$372$	−4.61203	−	5.74985i	−0.239122	−	0.298116i
$373$	19.6269			1.01624			0.508121	−	0.861286i	$-0.330340\pi$
$373$	19.6269			1.01624			0.508121	+	0.861286i	$0.330340\pi$
$374$	0.142622	−	0.0974817i	0.00737481	−	0.00504066i
$375$	−8.63613	+	14.9755i	−0.445968	+	0.773329i
$376$	0.330120	−	1.08366i	0.0170247	−	0.0558857i
$377$		−	43.3105i		−	2.23060i
$378$	−11.0817	+	15.9748i	−0.569983	+	0.821656i
$379$			15.7843i			0.810784i	0.914143	+	0.405392i	$0.132865\pi$
$379$			15.7843i			0.810784i	−0.914143	+	0.405392i	$0.867135\pi$
$380$	6.07607	−	15.5883i	0.311696	−	0.799665i
$381$	11.2577	−	19.5213i	0.576748	−	1.00011i
$382$	5.30700	+	7.76448i	0.271530	+	0.397265i
$383$	−10.3839			−0.530592			−0.265296	−	0.964167i	$-0.585470\pi$
$383$	−10.3839			−0.530592			−0.265296	+	0.964167i	$0.585470\pi$
$384$	9.65066	−	17.0548i	0.492483	−	0.870322i
$385$	−0.123967	−	0.0200500i	−0.00631795	−	0.00102184i
$386$	−8.66888	+	0.659805i	−0.441235	+	0.0335832i
$387$	12.2194	+	7.03865i	0.621148	+	0.357795i
$388$	−2.96588	+	7.60906i	−0.150570	+	0.386291i
$389$		−	27.6818i		−	1.40352i	−0.712411	−	0.701762i	$-0.752397\pi$
$389$		−	27.6818i		−	1.40352i	0.712411	−	0.701762i	$-0.247603\pi$
$390$	16.3345	−	1.25144i	0.827127	−	0.0633690i
$391$	15.6238	+	9.02038i	0.790127	+	0.456180i
$392$	−19.7138	−	1.83468i	−0.995697	−	0.0926656i
$393$	0.469077	+	0.270510i	0.0236618	+	0.0136454i
$394$	−16.8594	−	8.09487i	−0.849365	−	0.407814i
$395$	−3.90211	+	6.75865i	−0.196336	+	0.340065i
$396$	−0.0896835	+	0.230765i	−0.00450677	+	0.0115964i
$397$	15.5264	+	26.8926i	0.779249	+	1.34970i	0.932375	+	0.361492i	$0.117733\pi$
$397$	15.5264	+	26.8926i	0.779249	+	1.34970i	−0.153126	+	0.988207i	$0.548934\pi$
$398$	−19.4752	+	13.3112i	−0.976202	+	0.667231i
$399$	−5.30458	+	32.9018i	−0.265561	+	1.64715i
$400$	−3.20584	+	14.3539i	−0.160292	+	0.717693i
$401$		−	29.2283i		−	1.45959i	−0.683665	−	0.729796i	$-0.739615\pi$
$401$		−	29.2283i		−	1.45959i	0.683665	−	0.729796i	$-0.260385\pi$
$402$	−1.01366	+	2.11387i	−0.0505566	+	0.105430i
$403$		−	12.3718i		−	0.616286i
$404$	−20.9732	+	16.8057i	−1.04345	+	0.836113i
$405$	8.97579	+	5.15834i	0.446010	+	0.256320i
$406$	27.7722	+	2.34905i	1.37831	+	0.116581i
$407$	−0.162749	−	0.281890i	−0.00806719	−	0.0139728i
$408$	−9.90683	−	10.5918i	−0.490461	−	0.524374i
$409$	−13.7543	−	23.8231i	−0.680104	−	1.17798i	−0.974949	−	0.222430i	$-0.928601\pi$
$409$	−13.7543	−	23.8231i	−0.680104	−	1.17798i	0.294845	−	0.955545i	$-0.404732\pi$
$410$	−2.14729	−	3.14162i	−0.106047	−	0.155154i
$411$	−7.85124	+	13.6144i	−0.387273	+	0.671550i
$412$	17.4405	−	13.9749i	0.859230	−	0.688496i
$413$	−25.7542	+	9.78968i	−1.26728	+	0.481719i
$414$	−25.7784	+	1.98790i	−1.26694	+	0.0976999i
$415$	−13.6891	+	7.90338i	−0.671970	+	0.387962i
$416$	30.5466	−	12.1946i	1.49767	−	0.597889i
$417$	−0.645961	−	1.11755i	−0.0316329	−	0.0547267i
$418$	0.0322077	+	0.423163i	0.00157533	+	0.0206976i
$419$	0.375709	−	0.650747i	0.0183546	−	0.0317911i	−0.856702	−	0.515811i	$-0.827491\pi$
$419$	0.375709	−	0.650747i	0.0183546	−	0.0317911i	0.875057	+	0.484020i	$0.160824\pi$
$420$	−0.0834749	+	10.5421i	−0.00407316	+	0.514401i
$421$	−12.5491	−	21.7357i	−0.611605	−	1.05933i	−0.990970	−	0.134084i	$-0.957191\pi$
$421$	−12.5491	−	21.7357i	−0.611605	−	1.05933i	0.379365	−	0.925247i	$-0.376142\pi$
$422$	2.64229	−	1.80600i	0.128625	−	0.0879146i
$423$	1.20155	−	0.00119806i	0.0584213	−	5.82516e-5i
$424$	−15.8876	−	4.83990i	−0.771570	−	0.235046i
$425$	9.42663	+	5.44247i	0.457259	+	0.263999i
$426$	2.59188	−	1.77344i	0.125577	−	0.0859235i
$427$	2.80478	+	2.28648i	0.135733	+	0.110650i
$428$	8.21681	−	21.0805i	0.397175	−	1.01896i
$429$	−0.359774	+	0.207955i	−0.0173700	+	0.0100402i
$430$	7.62448	−	0.580313i	0.367685	−	0.0279852i
$431$	−6.13030	+	10.6180i	−0.295286	+	0.511451i	−0.975051	−	0.221979i	$-0.928748\pi$
$431$	−6.13030	+	10.6180i	−0.295286	+	0.511451i	0.679765	+	0.733430i	$0.262082\pi$
$432$	20.2916	+	4.50014i	0.976280	+	0.216513i
$433$	12.9845			0.623996			0.311998	−	0.950083i	$-0.399002\pi$
$433$	12.9845			0.623996			0.311998	+	0.950083i	$0.399002\pi$
$434$	7.93325	+	0.671018i	0.380808	+	0.0322099i
$435$	−0.00739880	−	14.8407i	−0.000354745	−	0.711558i
$436$	−9.24394	+	1.41535i	−0.442704	+	0.0677828i
$437$	−38.3814	+	22.1595i	−1.83603	+	1.06003i
$438$	−0.512395	−	6.68806i	−0.0244832	−	0.319568i
$439$	−16.7164	−	9.65124i	−0.797832	−	0.460629i	0.0448805	−	0.998992i	$-0.485709\pi$
$439$	−16.7164	−	9.65124i	−0.797832	−	0.460629i	−0.842713	+	0.538364i	$0.819043\pi$
$440$	0.0303306	+	0.130777i	0.00144596	+	0.00623457i
$441$	−4.25231	−	20.5650i	−0.202491	−	0.979284i
$442$	−1.84740	−	24.2721i	−0.0878716	−	1.15451i
$443$	−2.61838	+	4.53518i	−0.124403	+	0.215473i	−0.921500	−	0.388380i	$-0.873035\pi$
$443$	−2.61838	+	4.53518i	−0.124403	+	0.215473i	0.797096	+	0.603852i	$0.206368\pi$
$444$	−21.3160	+	17.0979i	−1.01161	+	0.811429i
$445$	−0.384409	−	0.665816i	−0.0182227	−	0.0315627i
$446$	1.08924	+	14.3110i	0.0515768	+	0.677645i
$447$	13.0048	−	22.5510i	0.615108	−	1.06663i
$448$	6.16282	+	20.2489i	0.291166	+	0.956673i
$449$			15.8939i			0.750082i	0.927008	+	0.375041i	$0.122371\pi$
$449$			15.8939i			0.750082i	−0.927008	+	0.375041i	$0.877629\pi$
$450$	−15.5535	+	1.19940i	−0.733198	+	0.0565405i
$451$	0.0835936	+	0.0482628i	0.00393627	+	0.00227261i
$452$	−0.0868776	−	0.567416i	−0.00408638	−	0.0266890i
$453$	9.21926	−	15.9866i	0.433159	−	0.751117i
$454$	1.79662	−	3.74188i	0.0843197	−	0.175615i
$455$	−11.1807	+	13.7151i	−0.524157	+	0.642973i
$456$	34.7025	−	8.06663i	1.62509	−	0.377754i
$457$	1.79911	−	3.11616i	0.0841590	−	0.145768i	−0.820874	−	0.571110i	$-0.806513\pi$
$457$	1.79911	−	3.11616i	0.0841590	−	0.145768i	0.905033	+	0.425342i	$0.139846\pi$
$458$	−0.271632	+	0.565736i	−0.0126925	+	0.0264351i
$459$	7.67136	−	13.3332i	0.358068	−	0.622340i
$460$	−10.9406	+	8.76666i	−0.510109	+	0.408748i
$461$	−13.1236	+	7.57692i	−0.611228	+	0.352892i	−0.773446	−	0.633862i	$-0.781469\pi$
$461$	−13.1236	+	7.57692i	−0.611228	+	0.352892i	0.162218	+	0.986755i	$0.448135\pi$
$462$	−0.113835	−	0.241978i	−0.00529606	−	0.0112578i
$463$	−22.8810	−	13.2104i	−1.06337	−	0.613938i	−0.137009	−	0.990570i	$-0.543749\pi$
$463$	−22.8810	−	13.2104i	−1.06337	−	0.613938i	−0.926363	+	0.376632i	$0.877082\pi$
$464$	−8.91509	−	28.4307i	−0.413873	−	1.31986i
$465$	−0.00211350	−	4.23932i	−9.80114e−5	−	0.196594i
$466$	1.65206	+	21.7057i	0.0765302	+	1.00550i
$467$	−11.6787	−	20.2281i	−0.540426	−	0.936045i	−0.998879	−	0.0473266i	$-0.984930\pi$
$467$	−11.6787	−	20.2281i	−0.540426	−	0.936045i	0.458454	−	0.888718i	$-0.348403\pi$
$468$	21.8417	+	27.2024i	1.00963	+	1.25743i
$469$	−0.899722	−	2.36695i	−0.0415453	−	0.109295i
$470$	0.537893	−	0.367648i	0.0248111	−	0.0169583i
$471$	−0.00927890	−	18.6119i	−0.000427549	−	0.857589i
$472$	20.1095	+	21.5214i	0.925614	+	0.990605i
$473$	−0.167975	+	0.0969802i	−0.00772348	+	0.00445915i
$474$	−16.5704	+	1.26952i	−0.761105	+	0.0583108i
$475$	−23.1575	+	13.3700i	−1.06254	+	0.613457i
$476$	15.6643	+	0.131844i	0.717972	+	0.00604305i
$477$	−0.0175647	−	17.6159i	−0.000804234	−	0.806577i
$478$	−6.93749	−	10.1500i	−0.317313	−	0.464249i
$479$	−6.98068			−0.318956			−0.159478	−	0.987202i	$-0.550981\pi$
$479$	−6.98068			−0.318956			−0.159478	+	0.987202i	$0.550981\pi$
$480$	10.4650	−	4.18380i	0.477659	−	0.190964i
$481$	−45.8653			−2.09128
$482$	2.18844	−	4.55792i	0.0996805	−	0.207607i
$483$	17.6348	−	21.6543i	0.802410	−	0.985303i
$484$	13.7547	+	17.1656i	0.625214	+	0.780255i
$485$	−4.06767	+	2.34847i	−0.184703	+	0.106638i
$486$	1.72787	+	21.9776i	0.0783777	+	0.996924i
$487$	7.56727	+	4.36896i	0.342906	+	0.197977i	0.661556	−	0.749896i	$-0.269896\pi$
$487$	7.56727	+	4.36896i	0.342906	+	0.197977i	−0.318651	+	0.947872i	$0.603230\pi$
$488$	1.12733	−	3.70061i	0.0510319	−	0.167519i
$489$	−21.1941	+	0.0105663i	−0.958430	+	0.000477823i
$490$	−8.18817	−	7.91329i	−0.369904	−	0.357486i
$491$	14.3700	−	24.8895i	0.648508	−	1.12325i	−0.334972	−	0.942228i	$-0.608727\pi$
$491$	14.3700	−	24.8895i	0.648508	−	1.12325i	0.983479	−	0.181020i	$-0.0579399\pi$
$492$	2.93916	−	7.55162i	0.132507	−	0.340453i
$493$	−22.0516			−0.993156
$494$	53.9076	+	25.8832i	2.42542	+	1.16454i
$495$	−0.123244	+	0.0713190i	−0.00553941	+	0.00320555i
$496$	−2.54664	−	8.12137i	−0.114347	−	0.364660i
$497$	−0.541597	+	3.34865i	−0.0242939	+	0.150207i
$498$	−30.3512	−	14.5542i	−1.36007	−	0.652188i
$499$		−	12.5476i		−	0.561709i	−0.959750	−	0.280855i	$-0.909382\pi$
$499$		−	12.5476i		−	0.561709i	0.959750	−	0.280855i	$-0.0906179\pi$
$500$	−15.5775	+	12.4822i	−0.696647	+	0.558219i
$501$	14.3492	−	8.29405i	0.641075	−	0.370551i
$502$	10.0704	−	20.9738i	0.449462	−	0.936107i
$503$	7.28257			0.324714			0.162357	−	0.986732i	$-0.448090\pi$
$503$	7.28257			0.324714			0.162357	+	0.986732i	$0.448090\pi$
$504$	−18.6277	+	12.5303i	−0.829746	+	0.558142i
$505$	−15.4572			−0.687836
$506$	0.153924	−	0.320583i	0.00684277	−	0.0142516i
$507$	0.0179665	+	36.0377i	0.000797921	+	1.60049i
$508$	20.3061	−	16.2712i	0.900938	−	0.721916i
$509$		−	18.6106i		−	0.824899i	−0.910981	−	0.412449i	$-0.864673\pi$
$509$		−	18.6106i		−	0.824899i	0.910981	−	0.412449i	$-0.135327\pi$
$510$	−0.637173	−	8.31673i	−0.0282145	−	0.368271i
$511$	5.61557	+	4.57787i	0.248418	+	0.202513i
$512$	17.5419	−	14.2928i	0.775248	−	0.631657i
$513$	18.9434	+	32.6979i	0.836370	+	1.44365i
$514$	32.6515	+	15.6773i	1.44019	+	0.691494i
$515$	12.8536			0.566397
$516$	10.1884	+	12.7019i	0.448519	+	0.559171i
$517$	−0.00826331	+	0.0143125i	−0.000363420	+	0.000629462i
$518$	2.48762	−	29.4104i	0.109300	−	1.29222i
$519$	−17.6416	−	30.5210i	−0.774379	−	1.33972i
$520$	18.0957	+	5.51254i	0.793547	+	0.241741i
$521$	13.4091	+	7.74176i	0.587464	+	0.339172i	0.764094	−	0.645105i	$-0.223186\pi$
$521$	13.4091	+	7.74176i	0.587464	+	0.339172i	−0.176630	+	0.984277i	$0.556520\pi$
$522$	26.0732	−	17.8591i	1.14119	−	0.781671i
$523$	30.4929	−	17.6051i	1.33336	−	0.769818i	0.347550	−	0.937662i	$-0.387014\pi$
$523$	30.4929	−	17.6051i	1.33336	−	0.769818i	0.985814	+	0.167844i	$0.0536805\pi$
$524$	0.390980	+	0.487935i	0.0170800	+	0.0213155i
$525$	10.6400	−	13.0651i	0.464367	−	0.570210i
$526$	−7.89638	+	16.4460i	−0.344299	+	0.717081i
$527$	−6.29916			−0.274396
$528$	−0.193364	+	0.210566i	−0.00841509	+	0.00916371i
$529$	14.1377			0.614684
$530$	−5.39009	−	7.88605i	−0.234131	−	0.342548i
$531$	−15.5936	+	27.0712i	−0.676704	+	1.17479i
$532$	−19.5210	+	33.1636i	−0.846342	+	1.43782i
$533$	11.7790	−	6.80061i	0.510205	−	0.294567i
$534$	0.707894	−	1.47624i	0.0306336	−	0.0638830i
$535$	11.2692	−	6.50630i	0.487212	−	0.281292i
$536$	−1.97793	+	1.84817i	−0.0854336	+	0.0798286i
$537$	−35.6753	+	20.6209i	−1.53950	+	0.889856i
$538$	−8.27622	+	5.65677i	−0.356813	+	0.243881i
$539$	0.274117	+	0.0910510i	0.0118071	+	0.00392184i
$540$	7.48889	+	9.31741i	0.322271	+	0.400957i
$541$	3.06242	+	5.30426i	0.131664	+	0.228048i	0.924318	−	0.381623i	$-0.124635\pi$
$541$	3.06242	+	5.30426i	0.131664	+	0.228048i	−0.792654	+	0.609671i	$0.791301\pi$
$542$	0.801754	+	10.5339i	0.0344383	+	0.452469i
$543$	−23.0741	−	13.3065i	−0.990203	−	0.571036i
$544$	−6.20891	−	15.5529i	−0.266205	−	0.666825i
$545$	−4.65790	−	2.68924i	−0.199522	−	0.115194i
$546$	−37.5486	−	3.15712i	−1.60693	−	0.135112i
$547$	16.2992	−	9.41033i	0.696902	−	0.402357i	−0.109290	−	0.994010i	$-0.534858\pi$
$547$	16.2992	−	9.41033i	0.696902	−	0.402357i	0.806193	+	0.591653i	$0.201525\pi$
$548$	−14.1617	+	11.3477i	−0.604960	+	0.484751i
$549$	4.10318	−	0.00409126i	0.175119	−	0.000174611i
$550$	0.0928707	−	0.193424i	0.00396002	−	0.00824764i
$551$	27.0861	−	46.9144i	1.15391	−	1.99862i
$552$	−28.5633	−	8.68579i	−1.21574	−	0.369692i
$553$	11.3422	−	13.9132i	0.482318	−	0.591650i
$554$	−13.1750	+	27.4399i	−0.559752	+	1.16581i
$555$	−15.7162	+	0.00783526i	−0.667114	+	0.000332588i
$556$	−0.225582	−	1.47333i	−0.00956682	−	0.0624830i
$557$	−33.9310	−	19.5901i	−1.43770	−	0.830057i	−0.440012	−	0.897992i	$-0.645026\pi$
$557$	−33.9310	−	19.5901i	−1.43770	−	0.830057i	−0.997690	+	0.0679349i	$0.978359\pi$
$558$	7.44792	−	5.10154i	0.315296	−	0.215965i
$559$			27.3305i			1.15596i
$560$	−4.51629	+	11.3046i	−0.190848	+	0.477705i
$561$	0.105881	+	0.183180i	0.00447029	+	0.00773386i
$562$	−0.703870	−	9.24783i	−0.0296910	−	0.390096i
$563$	5.40254	+	9.35747i	0.227690	+	0.394370i	0.957123	−	0.289682i	$-0.0935494\pi$
$563$	5.40254	+	9.35747i	0.227690	+	0.394370i	−0.729433	+	0.684052i	$0.760216\pi$
$564$	1.29295	+	0.503228i	0.0544430	+	0.0211897i
$565$	0.165072	−	0.285914i	0.00694465	−	0.0120285i
$566$	0.875619	+	11.5044i	0.0368050	+	0.483564i
$567$	−18.4861	−	15.0088i	−0.776344	−	0.630310i
$568$	3.53261	−	0.819302i	0.148225	−	0.0343771i
$569$	16.9875	+	9.80777i	0.712155	+	0.411163i	0.811858	−	0.583854i	$-0.198456\pi$
$569$	16.9875	+	9.80777i	0.712155	+	0.411163i	−0.0997034	+	0.995017i	$0.531789\pi$
$570$	18.4763	+	8.85988i	0.773888	+	0.371100i
$571$	−21.8026	+	12.5877i	−0.912411	+	0.526781i	−0.881206	−	0.472732i	$-0.843268\pi$
$571$	−21.8026	+	12.5877i	−0.912411	+	0.526781i	−0.0312049	+	0.999513i	$0.509934\pi$
$572$	−0.474309	+	0.0726219i	−0.0198319	+	0.00303647i
$573$	−9.97248	+	5.76425i	−0.416607	+	0.240805i
$574$	3.72192	+	7.92194i	0.155350	+	0.330656i
$575$	22.4071			0.934442
$576$	19.9371	+	13.3608i	0.830714	+	0.556700i
$577$	−6.37775	+	11.0466i	−0.265509	+	0.459876i	−0.967697	−	0.252116i	$-0.918873\pi$
$577$	−6.37775	+	11.0466i	−0.265509	+	0.459876i	0.702188	+	0.711992i	$0.252207\pi$
$578$	11.6141	−	0.883971i	0.483083	−	0.0367683i
$579$	−0.00530848	−	10.6479i	−0.000220613	−	0.442511i
$580$	6.22349	−	15.9665i	0.258416	−	0.662975i
$581$	33.9849	−	12.9183i	1.40993	−	0.535941i
$582$	−9.01876	−	4.32473i	−0.373840	−	0.179266i
$583$	0.209835	+	0.121148i	0.00869049	+	0.00501746i
$584$	2.25708	−	7.40917i	0.0933988	−	0.306594i
$585$	0.0200059	+	20.0642i	0.000827142	+	0.829551i
$586$	−29.3419	+	20.0551i	−1.21210	+	0.828468i
$587$	17.1705	+	29.7401i	0.708702	+	1.22751i	0.965339	+	0.260999i	$0.0840521\pi$
$587$	17.1705	+	29.7401i	0.708702	+	1.22751i	−0.256637	+	0.966508i	$0.582615\pi$
$588$	4.06100	−	23.9062i	0.167473	−	0.985877i
$589$	7.73727	−	13.4013i	0.318809	−	0.552193i
$590$	1.28564	+	16.8915i	0.0529290	+	0.695410i
$591$	11.4427	−	19.8422i	0.470691	−	0.816200i
$592$	−30.1078	+	9.44099i	−1.23742	+	0.388022i
$593$	40.1331	−	23.1709i	1.64807	−	0.951514i	0.670233	−	0.742151i	$-0.266194\pi$
$593$	40.1331	−	23.1709i	1.64807	−	0.951514i	0.977838	−	0.209363i	$-0.0671391\pi$
$594$	−0.273543	−	0.130836i	−0.0112236	−	0.00536825i
$595$	6.98307	+	5.69266i	0.286278	+	0.233376i
$596$	23.4576	−	18.7964i	0.960861	−	0.769932i
$597$	−14.4581	−	25.0134i	−0.591731	−	1.02373i
$598$	−28.2761	−	41.3697i	−1.15629	−	1.69173i
$599$	−7.05120	−	12.2130i	−0.288104	−	0.499011i	0.685253	−	0.728305i	$-0.259692\pi$
$599$	−7.05120	−	12.2130i	−0.288104	−	0.499011i	−0.973357	+	0.229294i	$0.926358\pi$
$600$	−17.2337	−	5.24059i	−0.703565	−	0.213946i
$601$	−6.34404	−	10.9882i	−0.258779	−	0.448218i	0.707136	−	0.707077i	$-0.249987\pi$
$601$	−6.34404	−	10.9882i	−0.258779	−	0.448218i	−0.965915	+	0.258859i	$0.916653\pi$
$602$	−17.5253	−	1.48234i	−0.714277	−	0.0604156i
$603$	−2.48798	−	1.43313i	−0.101318	−	0.0583616i
$604$	16.6293	−	13.3250i	0.676638	−	0.542186i
$605$			12.6510i			0.514338i
$606$	−18.5874	−	27.1655i	−0.755062	−	1.10352i
$607$			34.2563i			1.39042i	0.718806	+	0.695211i	$0.244689\pi$
$607$			34.2563i			1.39042i	−0.718806	+	0.695211i	$0.755311\pi$
$608$	40.7149	+	5.89431i	1.65121	+	0.239046i
$609$	−5.43328	+	33.7001i	−0.220168	+	1.36560i
$610$	1.83686	−	1.25549i	0.0743721	−	0.0508331i
$611$	1.16437	+	2.01674i	0.0471052	+	0.0815886i
$612$	13.8502	−	11.1208i	0.559860	−	0.449530i
$613$	−1.88844	+	3.27087i	−0.0762734	+	0.132109i	−0.901639	−	0.432489i	$-0.857636\pi$
$613$	−1.88844	+	3.27087i	−0.0762734	+	0.132109i	0.825366	+	0.564598i	$0.190969\pi$
$614$	15.5183	+	7.45093i	0.626266	+	0.300695i
$615$	4.03501	−	2.33230i	0.162707	−	0.0940474i
$616$	−0.0208423	−	0.308082i	−0.000839760	−	0.0124130i
$617$	22.7647	+	13.1432i	0.916470	+	0.529124i	0.882507	−	0.470299i	$-0.155854\pi$
$617$	22.7647	+	13.1432i	0.916470	+	0.529124i	0.0339631	+	0.999423i	$0.489187\pi$
$618$	15.4566	+	22.5898i	0.621754	+	0.908694i
$619$			17.4522i			0.701464i	0.936476	+	0.350732i	$0.114067\pi$
$619$			17.4522i			0.701464i	−0.936476	+	0.350732i	$0.885933\pi$
$620$	1.77777	−	4.56092i	0.0713970	−	0.183171i
$621$	−0.0473606	−	31.6657i	−0.00190052	−	1.27070i
$622$	16.7460	−	1.27457i	0.671452	−	0.0511055i
$623$	0.628327	+	1.65297i	0.0251734	+	0.0662250i
$624$	12.0721	+	38.4314i	0.483270	+	1.53849i
$625$	6.90377			0.276151
$626$	−18.7132	−	27.3787i	−0.747932	−	1.09427i
$627$	−0.519765		0.000259128i	−0.0207574		1.03486e-5i
$628$	7.80493	−	20.0238i	0.311451	−	0.799036i
$629$			23.3525i			0.931124i
$630$	−12.8669	−	1.07540i	−0.512630	−	0.0428450i
$631$		−	24.9923i		−	0.994929i	−0.867484	−	0.497465i	$-0.834264\pi$
$631$		−	24.9923i		−	0.994929i	0.867484	−	0.497465i	$-0.165736\pi$
$632$	−18.3571	−	5.59218i	−0.730205	−	0.222445i
$633$	1.96160	+	3.39368i	0.0779667	+	0.134887i
$634$	35.4812	−	24.2513i	1.40914	−	0.963143i
$635$	14.9656			0.593891
$636$	7.37783	−	18.9559i	0.292550	−	0.751652i
$637$	30.4235	−	27.0355i	1.20542	−	1.07119i
$638$	0.0329891	+	0.433429i	0.00130605	+	0.0171596i
$639$	1.92650	+	3.32912i	0.0762110	+	0.131698i
$640$	13.0134	−	0.106183i	0.514400	−	0.00419724i
$641$		−	33.7285i		−	1.33220i	−0.745864	−	0.666098i	$-0.767963\pi$
$641$		−	33.7285i		−	1.33220i	0.745864	−	0.666098i	$-0.232037\pi$
$642$	24.9860	+	11.9814i	0.986117	+	0.472869i
$643$	14.4308	+	8.33160i	0.569093	+	0.328566i	0.756787	−	0.653661i	$-0.226768\pi$
$643$	14.4308	+	8.33160i	0.569093	+	0.328566i	−0.187694	+	0.982228i	$0.560101\pi$
$644$	28.0613	−	15.8878i	1.10577	−	0.626067i
$645$	0.00466892	+	9.36505i	0.000183839	+	0.368748i
$646$	13.1785	−	27.4472i	0.518500	−	1.07990i
$647$	−3.12081	+	5.40539i	−0.122692	+	0.212508i	−0.920828	−	0.389968i	$-0.872486\pi$
$647$	−3.12081	+	5.40539i	−0.122692	+	0.212508i	0.798137	+	0.602476i	$0.205819\pi$
$648$	−7.36956	+	24.3657i	−0.289504	+	0.957177i
$649$	−0.214852	−	0.372135i	−0.00843369	−	0.0146076i
$650$	−17.0604	−	24.9605i	−0.669165	−	0.979031i
$651$	−1.55204	+	9.62659i	−0.0608294	+	0.377296i
$652$	−22.8019	−	8.88780i	−0.892991	−	0.348073i
$653$			38.3753i			1.50174i	0.660449	+	0.750871i	$0.270366\pi$
$653$			38.3753i			1.50174i	−0.660449	+	0.750871i	$0.729634\pi$
$654$	−0.874919	−	11.4199i	−0.0342121	−	0.446555i
$655$			0.359608i			0.0140510i
$656$	6.33235	−	6.88879i	0.247237	−	0.268962i
$657$	8.21517	−	0.00819131i	0.320504	−	0.000319573i
$658$	−1.35636	+	0.637248i	−0.0528762	+	0.0248425i
$659$	12.4132	+	21.5003i	0.483551	+	0.837535i	0.999822	−	0.0188909i	$-0.00601351\pi$
$659$	12.4132	+	21.5003i	0.483551	+	0.837535i	−0.516271	+	0.856425i	$0.672680\pi$
$660$	−0.162514	+	0.0249655i	−0.00632584	+	0.000971783i
$661$	4.36072	+	7.55300i	0.169613	+	0.293777i	0.938284	−	0.345867i	$-0.112415\pi$
$661$	4.36072	+	7.55300i	0.169613	+	0.293777i	−0.768671	+	0.639644i	$0.779082\pi$
$662$	−35.2654	+	24.1038i	−1.37063	+	0.936821i
$663$	29.8131	−	0.0148633i	1.15784	−	0.000577241i
$664$	−26.5361	−	28.3993i	−1.02980	−	1.10211i
$665$	−20.6883	+	7.86404i	−0.802260	+	0.304954i
$666$	−18.9126	−	27.6112i	−0.732848	−	1.06991i
$667$	−39.3126	+	22.6971i	−1.52219	+	0.878837i
$668$	18.9173	−	2.89645i	0.731933	−	0.112067i
$669$	−17.5780	+	0.00876347i	−0.679605	+	0.000338815i
$670$	−1.55241	+	0.118157i	−0.0599749	+	0.00456480i
$671$	−0.0282185	+	0.0488759i	−0.00108936	+	0.00188683i
$672$	−25.2983	+	5.65661i	−0.975902	+	0.218208i
$673$	18.6887	+	32.3698i	0.720396	+	1.24776i	0.960841	+	0.277100i	$0.0893734\pi$
$673$	18.6887	+	32.3698i	0.720396	+	1.24776i	−0.240445	+	0.970663i	$0.577293\pi$
$674$	−17.4738	−	25.5653i	−0.673067	−	0.984740i
$675$	−0.0285751	−	19.1056i	−0.00109986	−	0.735374i
$676$	−15.1125	+	38.7716i	−0.581250	+	1.49121i
$677$	14.8171	+	8.55467i	0.569468	+	0.328783i	0.756937	−	0.653488i	$-0.226695\pi$
$677$	14.8171	+	8.55467i	0.569468	+	0.328783i	−0.187469	+	0.982271i	$0.560028\pi$
$678$	0.700985	−	0.0537048i	0.0269212	−	0.00206252i
$679$	10.0985	−	3.83864i	0.387545	−	0.147313i
$680$	2.80673	−	9.21345i	0.107633	−	0.353320i
$681$	4.40390	+	2.53967i	0.168758	+	0.0973202i
$682$	0.00942351	+	0.123811i	0.000360845	+	0.00474098i
$683$	−20.8154	+	36.0533i	−0.796480	+	1.37954i	0.125416	+	0.992104i	$0.459973\pi$
$683$	−20.8154	+	36.0533i	−0.796480	+	1.37954i	−0.921895	+	0.387439i	$0.873360\pi$
$684$	6.64701	+	43.1256i	0.254155	+	1.64895i
$685$	−10.4372			−0.398785
$686$	15.6860	+	20.9750i	0.598895	+	0.800828i
$687$	−0.665827	−	0.383973i	−0.0254029	−	0.0146495i
$688$	5.62576	+	17.9408i	0.214480	+	0.683988i
$689$	29.5674	−	17.0708i	1.12643	−	0.650344i
$690$	−9.69610	−	14.1708i	−0.369124	−	0.539475i
$691$	−25.7241	−	14.8518i	−0.978590	−	0.564989i	−0.0767458	−	0.997051i	$-0.524453\pi$
$691$	−25.7241	−	14.8518i	−0.978590	−	0.564989i	−0.901844	+	0.432061i	$0.857786\pi$
$692$	−6.16078	−	40.2374i	−0.234198	−	1.52960i
$693$	0.306030	−	0.116677i	0.0116251	−	0.00443220i
$694$	41.5070	−	3.15918i	1.57558	−	0.119921i
$695$	0.428619	−	0.742390i	0.0162584	−	0.0281605i
$696$	35.5445	−	8.26234i	1.34731	−	0.313183i
$697$	−3.46255	−	5.99731i	−0.131153	−	0.227164i
$698$	−29.4424	+	2.24092i	−1.11441	+	0.0848199i
$699$	−26.6608	+	0.0132917i	−1.00840	+	0.000502738i
$700$	16.9308	−	9.58594i	0.639925	−	0.362314i
$701$			5.38772i			0.203491i	0.994810	+	0.101746i	$0.0324428\pi$
$701$			5.38772i			0.203491i	−0.994810	+	0.101746i	$0.967557\pi$
$702$	−35.2380	+	24.1625i	−1.32997	+	0.911955i
$703$	−49.6819	−	28.6839i	−1.87379	−	1.08183i
$704$	−0.296407	+	0.145304i	−0.0111713	+	0.00547637i
$705$	0.399325	+	0.690855i	0.0150394	+	0.0260191i
$706$	−36.5088	−	17.5293i	−1.37403	−	0.659725i
$707$	35.0971	+	5.67647i	1.31996	+	0.213486i
$708$	−28.1402	+	22.5716i	−1.05757	+	0.848293i
$709$	0.512934	−	0.888429i	0.0192637	−	0.0333656i	−0.856233	−	0.516590i	$-0.827201\pi$
$709$	0.512934	−	0.888429i	0.0192637	−	0.0333656i	0.875497	+	0.483224i	$0.160534\pi$
$710$	1.88017	+	0.902742i	0.0705614	+	0.0338793i
$711$	−0.0202949	−	20.3540i	−0.000761118	−	0.763335i
$712$	1.38130	−	1.29068i	0.0517665	−	0.0483703i
$713$	−11.2298	+	6.48355i	−0.420561	+	0.242811i
$714$	−1.60746	+	19.1180i	−0.0601575	+	0.715473i
$715$	−0.238998	−	0.137986i	−0.00893803	−	0.00516037i
$716$	−47.0327	+	7.20121i	−1.75769	+	0.269122i
$717$	13.0364	−	7.53522i	0.486852	−	0.281408i
$718$	−15.6438	+	1.19068i	−0.583821	+	0.0444357i
$719$	21.4410	+	37.1370i	0.799616	+	1.38498i	0.919866	+	0.392232i	$0.128297\pi$
$719$	21.4410	+	37.1370i	0.799616	+	1.38498i	−0.120250	+	0.992744i	$0.538370\pi$
$720$	4.14317	+	13.1668i	0.154407	+	0.490697i
$721$	−29.1854	−	4.72033i	−1.08692	−	0.175794i
$722$	27.0439	+	39.5670i	1.00647	+	1.47253i
$723$	5.36432	+	3.09352i	0.199501	+	0.115049i
$724$	−19.2324	−	24.0017i	−0.714767	−	0.892016i
$725$	−23.7194	+	13.6944i	−0.880915	+	0.508596i
$726$	−22.2338	+	15.2130i	−0.825172	+	0.564607i
$727$	9.11133	−	5.26043i	0.337921	−	0.195098i	−0.321432	−	0.946933i	$-0.604164\pi$
$727$	9.11133	−	5.26043i	0.337921	−	0.195098i	0.659352	+	0.751834i	$0.270831\pi$
$728$	−39.0636	−	19.1622i	−1.44779	−	0.710199i
$729$	−26.9999	+	0.0807646i	−0.999996	+	0.00299128i
$730$	3.67766	−	2.51367i	0.136116	−	0.0930350i
$731$	13.9154			0.514680
$732$	4.41531	+	1.71848i	0.163195	+	0.0635168i
$733$	35.7403			1.32010			0.660048	−	0.751223i	$-0.270536\pi$
$733$	35.7403			1.32010			0.660048	+	0.751223i	$0.270536\pi$
$734$	0.988555	+	0.474644i	0.0364882	+	0.0175194i
$735$	10.4203	−	9.26916i	0.384358	−	0.341898i
$736$	−27.0771	−	21.3363i	−0.998075	−	0.786466i
$737$	0.0342011	−	0.0197460i	0.00125981	−	0.000727354i
$738$	8.95108	+	4.28679i	0.329494	+	0.157799i
$739$	−11.4786	−	6.62717i	−0.422247	−	0.243784i	0.273791	−	0.961789i	$-0.411722\pi$
$739$	−11.4786	−	6.62717i	−0.422247	−	0.243784i	−0.696038	+	0.718005i	$0.745056\pi$
$740$	−16.9084	−	6.59061i	−0.621565	−	0.242276i
$741$	−36.5879	+	63.4451i	−1.34409	+	2.33071i
$742$	9.34270	+	19.8855i	0.342981	+	0.730021i
$743$	−8.67905	+	15.0326i	−0.318404	+	0.551491i	−0.980155	−	0.198232i	$-0.936480\pi$
$743$	−8.67905	+	15.0326i	−0.318404	+	0.551491i	0.661752	+	0.749723i	$0.269813\pi$
$744$	10.1535	−	2.36018i	0.372244	−	0.0865284i
$745$	17.2882			0.633392
$746$	−12.0140	+	25.0219i	−0.439863	+	0.916116i
$747$	20.5770	−	35.7227i	0.752874	−	1.30702i
$748$	0.0369756	+	0.241496i	0.00135196	+	0.00882996i
$749$	−27.9773	+	10.6347i	−1.02227	+	0.388584i
$750$	−13.8055	−	20.1768i	−0.504106	−	0.736751i
$751$			39.0876i			1.42633i	0.700998	+	0.713163i	$0.252738\pi$
$751$			39.0876i			1.42633i	−0.700998	+	0.713163i	$0.747262\pi$
$752$	1.17946	+	1.08419i	0.0430106	+	0.0395365i
$753$	24.6846	+	14.2352i	0.899555	+	0.518761i
$754$	55.2155	+	26.5111i	2.01083	+	0.965479i
$755$	12.2558			0.446034
$756$	−13.5826	−	23.9063i	−0.493994	−	0.869465i
$757$	−50.4536			−1.83377			−0.916883	−	0.399156i	$-0.869303\pi$
$757$	−50.4536			−1.83377			−0.916883	+	0.399156i	$0.869303\pi$
$758$	−20.1230	−	9.66185i	−0.730900	−	0.350934i
$759$	0.377301	+	0.217584i	0.0136952	+	0.00789780i
$760$	16.1539	+	17.2882i	0.585965	+	0.627107i
$761$			46.0013i			1.66755i	0.552107	+	0.833774i	$0.313824\pi$
$761$			46.0013i			1.66755i	−0.552107	+	0.833774i	$0.686176\pi$
$762$	17.9962	+	26.3015i	0.651935	+	0.952803i
$763$	9.58865	+	7.81675i	0.347132	+	0.282985i
$764$	−13.1473	+	2.01299i	−0.475651	+	0.0728273i
$765$	10.2157	−	0.0101860i	0.369350	−	0.000368277i
$766$	6.35617	−	13.2382i	0.229658	−	0.478315i
$767$	−60.5488			−2.18629
$768$	15.8354	+	22.7429i	0.571409	+	0.820665i
$769$	9.35320	−	16.2002i	0.337285	−	0.584195i	−0.646636	−	0.762799i	$-0.723825\pi$
$769$	9.35320	−	16.2002i	0.337285	−	0.584195i	0.983921	+	0.178604i	$0.0571581\pi$
$770$	0.101444	−	0.145770i	0.00365578	−	0.00525318i
$771$	−22.1610	+	38.4283i	−0.798110	+	1.38396i
$772$	4.46522	−	11.4556i	0.160707	−	0.412297i
$773$	5.68811	+	3.28403i	0.204587	+	0.118118i	0.598793	−	0.800904i	$-0.295647\pi$
$773$	5.68811	+	3.28403i	0.204587	+	0.118118i	−0.394206	+	0.919022i	$0.628980\pi$
$774$	−16.4531	+	11.2698i	−0.591396	+	0.405083i
$775$	−6.77555	+	3.91187i	−0.243385	+	0.140518i
$776$	−7.88514	−	8.43878i	−0.283060	−	0.302935i
$777$	35.6880	+	5.75379i	1.28030	+	0.206416i
$778$	35.2909	+	16.9446i	1.26524	+	0.607492i
$779$	17.0122			0.609526
$780$	−8.40320	+	21.5904i	−0.300883	+	0.773062i
$781$	−0.0529044			−0.00189307
$782$	−21.0635	+	14.3968i	−0.753228	+	0.514829i
$783$	19.4030	+	33.4912i	0.693406	+	1.19688i
$784$	14.4062	−	24.0096i	0.514507	−	0.857486i
$785$	10.7044	−	6.18016i	0.382055	−	0.220579i
$786$	−0.631998	+	0.432431i	−0.0225426	+	0.0154243i
$787$	−9.06210	+	5.23200i	−0.323029	+	0.186501i	−0.652742	−	0.757580i	$-0.726381\pi$
$787$	−9.06210	+	5.23200i	−0.323029	+	0.186501i	0.329713	+	0.944081i	$0.393048\pi$
$788$	20.6399	−	16.5386i	0.735267	−	0.589165i
$789$	−19.3557	−	11.1622i	−0.689081	−	0.397383i
$790$	−6.22789	−	9.11180i	−0.221579	−	0.324183i
$791$	−0.479812	+	0.588576i	−0.0170602	+	0.0209273i
$792$	−0.239301	−	0.255591i	−0.00850317	−	0.00908204i
$793$	3.97621	+	6.88699i	0.141199	+	0.244564i
$794$	−43.7887	+	3.33284i	−1.55400	+	0.118278i
$795$	10.1286	−	5.85450i	0.359225	−	0.207638i
$796$	−5.04905	−	32.9765i	−0.178959	−	1.16882i
$797$	−9.90432	−	5.71826i	−0.350829	−	0.202551i	0.314221	−	0.949350i	$-0.398257\pi$
$797$	−9.90432	−	5.71826i	−0.350829	−	0.202551i	−0.665050	+	0.746798i	$0.731590\pi$
$798$	−38.6987	−	26.9025i	−1.36992	−	0.952338i
$799$	1.02683	−	0.592840i	0.0363266	−	0.0209732i
$800$	−16.3370	−	12.8733i	−0.577602	−	0.455140i
$801$	1.73750	+	1.00084i	0.0613915	+	0.0353628i
$802$	37.2625	+	17.8912i	1.31578	+	0.631760i
$803$	−0.0564976	+	0.0978566i	−0.00199376	+	0.00345329i
$804$	−2.07445	−	2.58623i	−0.0731601	−	0.0912092i
$805$	18.3084	+	2.96113i	0.645286	+	0.104366i
$806$	15.7726	+	7.57304i	0.555566	+	0.266749i
$807$	−6.14416	−	10.6298i	−0.216285	−	0.374185i
$808$	−8.58710	−	37.0252i	−0.302093	−	1.30254i
$809$	46.6840	+	26.9530i	1.64132	+	0.947617i	0.980365	+	0.197193i	$0.0631826\pi$
$809$	46.6840	+	26.9530i	1.64132	+	0.947617i	0.660957	+	0.750424i	$0.270151\pi$
$810$	−12.0705	+	8.28551i	−0.424114	+	0.291123i
$811$			7.92248i			0.278196i	0.990279	+	0.139098i	$0.0444203\pi$
$811$			7.92248i			0.278196i	−0.990279	+	0.139098i	$0.955580\pi$
$812$	−19.9946	+	33.9682i	−0.701673	+	1.19205i
$813$	−12.9386	+	0.00645053i	−0.453778	+	0.000226230i
$814$	0.458997	−	0.0349352i	0.0160879	−	0.00122448i
$815$	−7.03760	−	12.1895i	−0.246516	−	0.426979i
$816$	19.5674	−	6.14653i	0.684997	−	0.215172i
$817$	−17.0923	+	29.6048i	−0.597985	+	1.03574i
$818$	38.7907	−	2.95244i	1.35629	−	0.103229i
$819$	7.32290	−	45.5651i	0.255883	−	1.59217i
$820$	5.31958	−	0.814485i	0.185768	−	0.0284430i
$821$	21.5869	+	12.4632i	0.753387	+	0.434968i	0.826916	−	0.562325i	$-0.190093\pi$
$821$	21.5869	+	12.4632i	0.753387	+	0.434968i	−0.0735294	+	0.997293i	$0.523426\pi$
$822$	−12.5508	−	18.3430i	−0.437760	−	0.639786i
$823$	−16.7372	+	9.66325i	−0.583423	+	0.336840i	−0.762493	−	0.646997i	$-0.776025\pi$
$823$	−16.7372	+	9.66325i	−0.583423	+	0.336840i	0.179069	+	0.983836i	$0.442691\pi$
$824$	7.14070	+	30.7888i	0.248758	+	1.07258i
$825$	0.227646	+	0.131280i	0.00792560	+	0.00457058i
$826$	3.28401	−	38.8259i	0.114265	−	1.35093i
$827$	−50.6751			−1.76215			−0.881074	−	0.472979i	$-0.843179\pi$
$827$	−50.6751			−1.76215			−0.881074	+	0.472979i	$0.843179\pi$
$828$	13.2451	−	34.0812i	0.460300	−	1.18440i
$829$	18.8507	−	32.6504i	0.654713	−	1.13400i	−0.327253	−	0.944937i	$-0.606123\pi$
$829$	18.8507	−	32.6504i	0.654713	−	1.13400i	0.981966	−	0.189059i	$-0.0605436\pi$
$830$	−1.69651	−	22.2897i	−0.0588867	−	0.773686i
$831$	−32.2947	−	18.6239i	−1.12029	−	0.646056i
$832$	−3.15156	+	46.4077i	−0.109261	+	1.60890i
$833$	−13.7652	−	15.4902i	−0.476936	−	0.536704i
$834$	1.82014	−	0.139447i	0.0630264	−	0.00482867i
$835$	9.53219	+	5.50341i	0.329875	+	0.190453i
$836$	−0.559195	−	0.217965i	−0.0193402	−	0.00753847i
$837$	5.54256	+	9.56692i	0.191579	+	0.330681i
$838$	0.599644	+	0.877317i	0.0207143	+	0.0303064i
$839$	−13.8503	−	23.9895i	−0.478166	−	0.828208i	0.521521	−	0.853239i	$-0.325365\pi$
$839$	−13.8503	−	23.9895i	−0.478166	−	0.828208i	−0.999687	+	0.0250307i	$0.992032\pi$
$840$	−13.3888	−	6.55943i	−0.461956	−	0.226322i
$841$	13.2432	−	22.9380i	0.456663	−	0.790964i
$842$	35.3918	−	2.69374i	1.21968	−	0.0928323i
$843$	11.3590	−	0.00566300i	0.391224	−	0.000195044i
$844$	0.685030	+	4.47408i	0.0235797	+	0.154004i
$845$	−20.7266	+	11.9665i	−0.713016	+	0.411660i
$846$	−0.733963	+	1.53256i	−0.0252342	+	0.0526905i
$847$	4.64595	−	28.7255i	0.159637	−	0.987019i
$848$	15.8954	−	17.2921i	0.545849	−	0.593814i
$849$	−14.1307	+	0.00704481i	−0.484963	+	0.000241777i
$850$	−12.7087	+	8.68636i	−0.435905	+	0.297940i
$851$	24.0360	+	41.6317i	0.823945	+	1.42711i
$852$	0.674379	+	4.38988i	0.0231038	+	0.150395i
$853$	4.35844	+	7.54903i	0.149230	+	0.258474i	0.930943	−	0.365164i	$-0.118987\pi$
$853$	4.35844	+	7.54903i	0.149230	+	0.258474i	−0.781713	+	0.623638i	$0.785654\pi$
$854$	−4.63183	+	2.17615i	−0.158498	+	0.0744662i
$855$	−12.5263	+	21.7463i	−0.428391	+	0.743706i
$856$	21.8453	+	23.3792i	0.746658	+	0.799084i
$857$		−	24.5865i		−	0.839857i	−0.907557	−	0.419929i	$-0.862055\pi$
$857$		−	24.5865i		−	0.839857i	0.907557	−	0.419929i	$-0.137945\pi$
$858$	−0.0448924	−	0.585960i	−0.00153260	−	0.0200044i
$859$		−	2.67964i		−	0.0914280i	−0.998955	−	0.0457140i	$-0.985444\pi$
$859$		−	2.67964i		−	0.0914280i	0.998955	−	0.0457140i	$-0.0145563\pi$
$860$	−3.92726	+	10.0755i	−0.133918	+	0.343571i
$861$	−10.0184	+	3.81391i	−0.341427	+	0.129978i
$862$	−9.78416	−	14.3149i	−0.333250	−	0.487566i
$863$	−14.5911	−	25.2725i	−0.496686	−	0.860285i	0.503307	−	0.864108i	$-0.332116\pi$
$863$	−14.5911	−	25.2725i	−0.496686	−	0.860285i	−0.999993	+	0.00382290i	$0.998783\pi$
$864$	−18.1580	+	23.1147i	−0.617747	+	0.786377i
$865$	11.7058	−	20.2751i	0.398011	−	0.689375i
$866$	−7.94806	+	16.5537i	−0.270086	+	0.562516i
$867$	0.00711201	+	14.2654i	0.000241536	+	0.484480i
$868$	−5.71156	+	9.70318i	−0.193863	+	0.329347i
$869$	0.242451	+	0.139979i	0.00822458	+	0.00474846i
$870$	18.9246	+	9.07484i	0.641604	+	0.307666i
$871$		−	5.56474i		−	0.188554i
$872$	3.85399	−	12.6512i	0.130513	−	0.428425i
$873$	6.11441	−	10.6149i	0.206941	−	0.359260i
$874$	−4.75667	−	62.4958i	−0.160897	−	2.11395i
$875$	26.0679	+	4.21612i	0.881255	+	0.142531i
$876$	8.84010	+	3.44065i	0.298679	+	0.116249i
$877$	−11.6780			−0.394337			−0.197169	−	0.980370i	$-0.563175\pi$
$877$	−11.6780			−0.394337			−0.197169	+	0.980370i	$0.563175\pi$
$878$	22.5366	−	15.4037i	0.760573	−	0.519849i
$879$	−21.7830	−	37.6859i	−0.734723	−	1.27111i
$880$	−0.185291	−	0.0413835i	−0.00624616	−	0.00139504i
$881$		−	36.3492i		−	1.22463i	−0.790612	−	0.612317i	$-0.790238\pi$
$881$		−	36.3492i		−	1.22463i	0.790612	−	0.612317i	$-0.209762\pi$
$882$	28.8207	+	7.16703i	0.970444	+	0.241326i
$883$			44.6127i			1.50134i	0.660680	+	0.750668i	$0.270268\pi$
$883$			44.6127i			1.50134i	−0.660680	+	0.750668i	$0.729732\pi$
$884$	32.0748	+	12.5022i	1.07879	+	0.420494i
$885$	−20.7476	+	0.0103436i	−0.697422	+	0.000347698i
$886$	−4.17903	−	6.11418i	−0.140397	−	0.205410i
$887$	34.8560			1.17035			0.585175	−	0.810907i	$-0.301026\pi$
$887$	34.8560			1.17035			0.585175	+	0.810907i	$0.301026\pi$
$888$	−8.74974	−	37.6412i	−0.293622	−	1.26316i
$889$	−33.9809	−	5.49593i	−1.13968	−	0.184328i
$890$	1.08414	−	0.0825158i	0.0363404	−	0.00276594i
$891$	0.185043	−	0.321985i	0.00619918	−	0.0107869i
$892$	−18.9115	−	7.37138i	−0.633203	−	0.246812i
$893$			2.91274i			0.0974713i
$894$	20.7892	+	30.3835i	0.695297	+	1.01618i
$895$	−23.6992	−	13.6827i	−0.792175	−	0.457363i
$896$	−29.5873	−	4.53792i	−0.988442	−	0.151601i
$897$	53.1341	−	30.7123i	1.77410	−	1.02545i
$898$	−20.2628	−	9.72898i	−0.676179	−	0.324660i
$899$	7.92499	−	13.7265i	0.264313	−	0.457804i
$900$	7.99148	−	20.5629i	0.266383	−	0.685432i
$901$	−8.69162	−	15.0543i	−0.289560	−	0.501533i
$902$	−0.112698	+	0.0770290i	−0.00375244	+	0.00256479i
$903$	3.42860	−	21.2660i	0.114097	−	0.707689i
$904$	0.776565	+	0.236568i	0.0258282	+	0.00786813i
$905$		−	17.6892i		−	0.588010i
$906$	14.7377	+	21.5391i	0.489627	+	0.715590i
$907$		−	35.0458i		−	1.16368i	−0.813305	−	0.581838i	$-0.802334\pi$
$907$		−	35.0458i		−	1.16368i	0.813305	−	0.581838i	$-0.197666\pi$
$908$	3.67069	+	4.58095i	0.121816	+	0.152024i
$909$	34.8925	−	20.1916i	1.15731	−	0.669712i
$910$	−10.6411	−	22.6492i	−0.352751	−	0.750814i
$911$	−11.5348	−	19.9789i	−0.382166	−	0.661930i	0.609206	−	0.793012i	$-0.291488\pi$
$911$	−11.5348	−	19.9789i	−0.382166	−	0.661930i	−0.991372	+	0.131082i	$0.958155\pi$
$912$	−10.9581	+	49.1791i	−0.362859	+	1.62848i
$913$	0.283515	+	0.491063i	0.00938299	+	0.0162518i
$914$	2.87145	+	4.20111i	0.0949790	+	0.138960i
$915$	1.36366	+	2.35921i	0.0450812	+	0.0779930i
$916$	−0.554972	−	0.692595i	−0.0183368	−	0.0228840i
$917$	0.132062	−	0.816526i	0.00436106	−	0.0269641i
$918$	12.3024	+	17.9415i	0.406040	+	0.592159i
$919$	−33.1126	+	19.1176i	−1.09228	+	0.630630i	−0.934184	−	0.356793i	$-0.883870\pi$
$919$	−33.1126	+	19.1176i	−1.09228	+	0.630630i	−0.158100	+	0.987423i	$0.550537\pi$
$920$	−4.47945	−	19.3142i	−0.147683	−	0.636770i
$921$	−10.5325	+	18.2638i	−0.347057	+	0.601813i
$922$	−1.62643	−	21.3690i	−0.0535637	−	0.703749i
$923$	−3.72732	+	6.45591i	−0.122686	+	0.212499i
$924$	0.378173	+	0.00299447i	0.0124410	+	9.85108e-5i
$925$	14.5022	+	25.1186i	0.476830	+	0.825893i
$926$	30.8475	−	21.0842i	1.01371	−	0.692869i
$927$	−29.0152	+	16.7905i	−0.952985	+	0.551474i
$928$	41.7027	+	6.03732i	1.36896	+	0.198185i
$929$	10.2047	+	5.89171i	0.334806	+	0.193301i	0.657973	−	0.753041i	$-0.271414\pi$
$929$	10.2047	+	5.89171i	0.334806	+	0.193301i	−0.323167	+	0.946342i	$0.604747\pi$
$930$	5.40591	+	2.59227i	0.177267	+	0.0850040i
$931$	49.8630	−	10.2586i	1.63419	−	0.336211i
$932$	−28.6833	−	11.1803i	−0.939553	−	0.366222i
$933$	0.0102545	+	20.5688i	0.000335719	+	0.673394i
$934$	32.9371	−	2.50690i	1.07773	−	0.0820284i
$935$	−0.0702558	+	0.121687i	−0.00229761	+	0.00397958i
$936$	−48.0494	+	11.1944i	−1.57054	+	0.365900i
$937$	−30.8568			−1.00805			−0.504024	−	0.863690i	$-0.668148\pi$
$937$	−30.8568			−1.00805			−0.504024	+	0.863690i	$0.668148\pi$
$938$	3.56830	+	0.301817i	0.116509	+	0.00985469i
$939$	35.1644	−	20.3256i	1.14755	−	0.663300i
$940$	0.139452	+	0.910791i	0.00454842	+	0.0297067i
$941$	23.6362	−	13.6463i	0.770517	−	0.444858i	−0.0625423	−	0.998042i	$-0.519921\pi$
$941$	23.6362	−	13.6463i	0.770517	−	0.444858i	0.833059	+	0.553184i	$0.186588\pi$
$942$	23.7335	+	11.3808i	0.773279	+	0.370808i
$943$	−12.3457	−	7.12781i	−0.402032	−	0.232113i
$944$	−39.7466	+	12.4634i	−1.29364	+	0.405651i
$945$	2.50147	−	15.6145i	0.0813729	−	0.507941i
$946$	−0.0208174	−	0.273510i	−0.000676832	−	0.00889259i
$947$	−3.06265	+	5.30466i	−0.0995227	+	0.172378i	−0.911487	−	0.411328i	$-0.865065\pi$
$947$	−3.06265	+	5.30466i	−0.0995227	+	0.172378i	0.811965	+	0.583707i	$0.198398\pi$
$948$	8.52459	−	21.9023i	0.276866	−	0.711355i
$949$	7.96095	+	13.7888i	0.258423	+	0.447602i
$950$	−2.86995	−	37.7070i	−0.0931135	−	1.22338i
$951$	26.3408	+	45.5711i	0.854159	+	1.47774i
$952$	−9.75649	+	19.8893i	−0.316210	+	0.644617i
$953$			32.5362i			1.05395i	0.849881	+	0.526975i	$0.176674\pi$
$953$			32.5362i			1.05395i	−0.849881	+	0.526975i	$0.823326\pi$
$954$	22.4689	+	10.7606i	0.727456	+	0.348388i
$955$	−6.62473	−	3.82479i	−0.214371	−	0.123767i
$956$	17.1865	−	2.63145i	0.555853	−	0.0851070i
$957$	−0.532376		0.000265415i	−0.0172093		8.57964e-6i
$958$	4.27301	−	8.89951i	0.138055	−	0.287530i
$959$	23.6987	+	3.83294i	0.765272	+	0.123772i
$960$	−1.07198	+	15.9025i	−0.0345981	+	0.513253i
$961$	−13.2362	+	22.9257i	−0.426974	+	0.739540i
$962$	28.0750	−	58.4727i	0.905176	−	1.88523i
$963$	−16.9396	+	29.4080i	−0.545872	+	0.947659i
$964$	4.47120	+	5.57997i	0.144008	+	0.179719i
$965$	6.12398	−	3.53568i	0.197138	−	0.113818i
$966$	16.8119	+	35.7372i	0.540915	+	1.14982i
$967$	−29.4129	−	16.9816i	−0.945856	−	0.546090i	−0.0540646	−	0.998537i	$-0.517218\pi$
$967$	−29.4129	−	16.9816i	−0.945856	−	0.546090i	−0.891791	+	0.452447i	$0.850551\pi$
$968$	−30.3036	+	7.02816i	−0.973993	+	0.225894i
$969$	32.3032	+	18.6288i	1.03773	+	0.598443i
$970$	−0.504113	−	6.62331i	−0.0161861	−	0.212662i
$971$	9.81717	+	17.0038i	0.315048	+	0.545679i	0.979448	−	0.201698i	$-0.0646461\pi$
$971$	9.81717	+	17.0038i	0.315048	+	0.545679i	−0.664400	+	0.747377i	$0.731313\pi$
$972$	−29.0764	−	11.2501i	−0.932625	−	0.360846i
$973$	−1.24586	+	1.52827i	−0.0399404	+	0.0489940i
$974$	−10.2020	+	6.97301i	−0.326892	+	0.223430i
$975$	32.0586	−	18.5303i	1.02670	−	0.593446i
$976$	4.02777	+	3.70242i	0.128926	+	0.118512i
$977$	−38.9493	+	22.4874i	−1.24610	+	0.719435i	−0.970329	−	0.241788i	$-0.922266\pi$
$977$	−38.9493	+	22.4874i	−1.24610	+	0.719435i	−0.275770	+	0.961224i	$0.588933\pi$
$978$	12.9598	−	27.0263i	0.414410	−	0.864206i
$979$	−0.0238846	+	0.0137898i	−0.000763355	+	0.000440723i
$980$	15.1006	−	5.59503i	0.482371	−	0.178727i
$981$	14.0275	−	0.0139867i	0.447863	−	0.000446562i
$982$	22.9349	+	33.5553i	0.731883	+	1.07079i
$983$	5.06596			0.161579			0.0807895	−	0.996731i	$-0.474256\pi$
$983$	5.06596			0.161579			0.0807895	+	0.996731i	$0.474256\pi$
$984$	7.82827	+	8.36955i	0.249556	+	0.266812i
$985$	15.2116			0.484682
$986$	13.4982	−	28.1131i	0.429871	−	0.895304i
$987$	−0.652999	−	1.71530i	−0.0207852	−	0.0545987i
$988$	−65.9957	+	52.8820i	−2.09960	+	1.68240i
$989$	24.8077	−	14.3228i	0.788840	−	0.455437i
$990$	−0.0154829	−	0.200777i	−0.000492078	−	0.00638111i
$991$	26.7965	+	15.4710i	0.851220	+	0.491452i	0.861062	−	0.508500i	$-0.169800\pi$
$991$	26.7965	+	15.4710i	0.851220	+	0.491452i	−0.00984253	+	0.999952i	$0.503133\pi$
$992$	11.9126	+	1.72459i	0.378225	+	0.0547558i
$993$	−26.1806	−	45.2939i	−0.830816	−	1.43736i
$994$	−3.93759	−	2.74024i	−0.124893	−	0.0869151i
$995$	9.59349	−	16.6164i	0.304134	−	0.526776i
$996$	37.1333	−	29.7851i	1.17661	−	0.943777i
$997$	−12.0444			−0.381449			−0.190725	−	0.981644i	$-0.561084\pi$
$997$	−12.0444			−0.381449			−0.190725	+	0.981644i	$0.561084\pi$
$998$	15.9967	+	7.68064i	0.506366	+	0.243126i
$999$	35.4668	−	20.5476i	1.12212	−	0.650096i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.o.a.95.17	✓	88
3.2	odd	2		756.2.o.a.179.28		88
4.3	odd	2	inner	252.2.o.a.95.33	yes	88
7.2	even	3		252.2.bb.a.23.43	yes	88
9.2	odd	6		252.2.bb.a.11.2	yes	88
9.7	even	3		756.2.bb.a.683.43		88
12.11	even	2		756.2.o.a.179.12		88
21.2	odd	6		756.2.bb.a.611.2		88
28.23	odd	6		252.2.bb.a.23.2	yes	88
36.7	odd	6		756.2.bb.a.683.2		88
36.11	even	6		252.2.bb.a.11.43	yes	88
63.2	odd	6	inner	252.2.o.a.191.33	yes	88
63.16	even	3		756.2.o.a.359.12		88
84.23	even	6		756.2.bb.a.611.43		88
252.79	odd	6		756.2.o.a.359.28		88
252.191	even	6	inner	252.2.o.a.191.17	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.17	✓	88	1.1	even	1	trivial
252.2.o.a.95.33	yes	88	4.3	odd	2	inner
252.2.o.a.191.17	yes	88	252.191	even	6	inner
252.2.o.a.191.33	yes	88	63.2	odd	6	inner
252.2.bb.a.11.2	yes	88	9.2	odd	6
252.2.bb.a.11.43	yes	88	36.11	even	6
252.2.bb.a.23.2	yes	88	28.23	odd	6
252.2.bb.a.23.43	yes	88	7.2	even	3
756.2.o.a.179.12		88	12.11	even	2
756.2.o.a.179.28		88	3.2	odd	2
756.2.o.a.359.12		88	63.16	even	3
756.2.o.a.359.28		88	252.79	odd	6
756.2.bb.a.611.2		88	21.2	odd	6
756.2.bb.a.611.43		88	84.23	even	6
756.2.bb.a.683.2		88	36.7	odd	6
756.2.bb.a.683.43		88	9.7	even	3

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.o (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.612119 + 1.27488i) q^{2} +(-1.50043 - 0.865277i) q^{3} +(-1.25062 - 1.56075i) q^{4} -1.15027i q^{5} +(2.02156 - 1.38321i) q^{6} +(-0.422424 + 2.61181i) q^{7} +(2.75529 - 0.639023i) q^{8} +(1.50259 + 2.59658i) q^{9} +O(q^{10})\)	\(q+(-0.612119 + 1.27488i) q^{2} +(-1.50043 - 0.865277i) q^{3} +(-1.25062 - 1.56075i) q^{4} -1.15027i q^{5} +(2.02156 - 1.38321i) q^{6} +(-0.422424 + 2.61181i) q^{7} +(2.75529 - 0.639023i) q^{8} +(1.50259 + 2.59658i) q^{9} +(1.46646 + 0.704103i) q^{10} -0.0412633 q^{11} +(0.525989 + 3.42394i) q^{12} +(-2.90716 + 5.03535i) q^{13} +(-3.07116 - 2.13728i) q^{14} +(-0.995305 + 1.72590i) q^{15} +(-0.871892 + 3.90382i) q^{16} +(2.56376 + 1.48019i) q^{17} +(-4.23008 + 0.326202i) q^{18} +(-6.29815 + 3.63624i) q^{19} +(-1.79529 + 1.43855i) q^{20} +(2.89376 - 3.55333i) q^{21} +(0.0252580 - 0.0526056i) q^{22} +6.09407 q^{23} +(-4.68706 - 1.42528i) q^{24} +3.67687 q^{25} +(-4.63993 - 6.78851i) q^{26} +(-0.00777159 - 5.19615i) q^{27} +(4.60468 - 2.60709i) q^{28} +(-6.45096 + 3.72446i) q^{29} +(-1.59107 - 2.32535i) q^{30} +(-1.84275 + 1.06391i) q^{31} +(-4.44319 - 3.50116i) q^{32} +(0.0619128 + 0.0357042i) q^{33} +(-3.45639 + 2.36243i) q^{34} +(3.00429 + 0.485903i) q^{35} +(2.17344 - 5.59251i) q^{36} +(3.94417 + 6.83150i) q^{37} +(-0.780541 - 10.2552i) q^{38} +(8.71898 - 5.03970i) q^{39} +(-0.735050 - 3.16934i) q^{40} +(-2.02586 - 1.16963i) q^{41} +(2.75873 + 5.86425i) q^{42} +(4.07080 - 2.35028i) q^{43} +(0.0516048 + 0.0644018i) q^{44} +(2.98677 - 1.72839i) q^{45} +(-3.73030 + 7.76919i) q^{46} +(0.200258 - 0.346857i) q^{47} +(4.68610 - 5.10299i) q^{48} +(-6.64312 - 2.20658i) q^{49} +(-2.25068 + 4.68756i) q^{50} +(-2.56598 - 4.43929i) q^{51} +(11.4947 - 1.75996i) q^{52} +(-5.08527 - 2.93598i) q^{53} +(6.62920 + 3.17075i) q^{54} +0.0474640i q^{55} +(0.505105 + 7.46625i) q^{56} +(12.5963 - 0.00627986i) q^{57} +(-0.799479 - 10.5040i) q^{58} +(5.20686 + 9.01855i) q^{59} +(3.93846 - 0.605030i) q^{60} +(0.683864 - 1.18449i) q^{61} +(-0.228375 - 3.00052i) q^{62} +(-7.41650 + 2.82762i) q^{63} +(7.18330 - 3.52139i) q^{64} +(5.79203 + 3.34403i) q^{65} +(-0.0834165 + 0.0570760i) q^{66} +(-0.828850 + 0.478537i) q^{67} +(-0.896089 - 5.85255i) q^{68} +(-9.14374 - 5.27306i) q^{69} +(-2.45845 + 3.53267i) q^{70} +1.28212 q^{71} +(5.79935 + 6.19415i) q^{72} +(1.36920 - 2.37152i) q^{73} +(-11.1236 + 0.846640i) q^{74} +(-5.51690 - 3.18152i) q^{75} +(13.5519 + 5.28229i) q^{76} +(0.0174306 - 0.107772i) q^{77} +(1.08795 + 14.2005i) q^{78} +(-5.87570 - 3.39234i) q^{79} +(4.49045 + 1.00291i) q^{80} +(-4.48445 + 7.80319i) q^{81} +(2.73120 - 1.86677i) q^{82} +(-6.87088 - 11.9007i) q^{83} +(-9.16486 - 0.0725697i) q^{84} +(1.70262 - 2.94902i) q^{85} +(0.504501 + 6.62841i) q^{86} +(12.9019 - 0.00643222i) q^{87} +(-0.113693 + 0.0263682i) q^{88} +(0.578834 - 0.334190i) q^{89} +(0.375221 + 4.86574i) q^{90} +(-11.9233 - 9.72001i) q^{91} +(-7.62138 - 9.51134i) q^{92} +(3.68550 - 0.00183740i) q^{93} +(0.319618 + 0.467622i) q^{94} +(4.18266 + 7.24459i) q^{95} +(3.63723 + 9.09783i) q^{96} +(-2.04166 - 3.53626i) q^{97} +(6.87950 - 7.11846i) q^{98} +(-0.0620018 - 0.107143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

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