LMFDB - Embedded newform 200.2.o.a.69.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [200,2,Mod(29,200)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(200, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 5, 1]))

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

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

chi := DirichletCharacter("200.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 200 = 2^{3} \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	200.o (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.59700804043$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$28$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			69.13
Character	$\chi$	$=$	200.69
Dual form			200.2.o.a.29.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.338435 + 1.37312i) q^{2} +(-2.58107 + 1.87526i) q^{3} +(-1.77092 - 0.929423i) q^{4} +(-0.602254 + 2.15344i) q^{5} +(-1.70143 - 4.17877i) q^{6} +2.97769i q^{7} +(1.87555 - 2.11714i) q^{8} +(2.21828 - 6.82716i) q^{9} +O(q^{10})$	\(q+(-0.338435 + 1.37312i) q^{2} +(-2.58107 + 1.87526i) q^{3} +(-1.77092 - 0.929423i) q^{4} +(-0.602254 + 2.15344i) q^{5} +(-1.70143 - 4.17877i) q^{6} +2.97769i q^{7} +(1.87555 - 2.11714i) q^{8} +(2.21828 - 6.82716i) q^{9} +(-2.75311 - 1.55576i) q^{10} +(-0.263378 + 0.0855768i) q^{11} +(6.31378 - 0.922031i) q^{12} +(1.36304 - 4.19500i) q^{13} +(-4.08873 - 1.00775i) q^{14} +(-2.48379 - 6.68755i) q^{15} +(2.27234 + 3.29188i) q^{16} +(-3.01210 + 4.14580i) q^{17} +(8.62377 + 5.35651i) q^{18} +(-0.824879 + 1.13535i) q^{19} +(3.06800 - 3.25382i) q^{20} +(-5.58392 - 7.68561i) q^{21} +(-0.0283710 - 0.390613i) q^{22} +(-0.307187 + 0.0998113i) q^{23} +(-0.870742 + 8.98164i) q^{24} +(-4.27458 - 2.59383i) q^{25} +(5.29895 + 3.29135i) q^{26} +(4.11950 + 12.6785i) q^{27} +(2.76753 - 5.27326i) q^{28} +(2.59226 + 3.56794i) q^{29} +(10.0234 - 1.14724i) q^{30} +(-3.04947 - 2.21557i) q^{31} +(-5.28919 + 2.00612i) q^{32} +(0.519319 - 0.714781i) q^{33} +(-4.67329 - 5.53907i) q^{34} +(-6.41226 - 1.79332i) q^{35} +(-10.2737 + 10.0287i) q^{36} +(1.24835 - 3.84202i) q^{37} +(-1.27980 - 1.51690i) q^{38} +(4.34861 + 13.3836i) q^{39} +(3.42958 + 5.31394i) q^{40} +(-1.97884 + 6.09023i) q^{41} +(12.4431 - 5.06633i) q^{42} -10.9079 q^{43} +(0.545960 + 0.0932399i) q^{44} +(13.3659 + 8.88860i) q^{45} +(-0.0330901 - 0.455585i) q^{46} +(1.67150 + 2.30062i) q^{47} +(-12.0382 - 4.23533i) q^{48} -1.86662 q^{49} +(5.00831 - 4.99168i) q^{50} -16.3491i q^{51} +(-6.31278 + 6.16219i) q^{52} +(0.378304 - 0.274854i) q^{53} +(-18.8033 + 1.36572i) q^{54} +(-0.0256637 - 0.618708i) q^{55} +(6.30419 + 5.58481i) q^{56} -4.47727i q^{57} +(-5.77652 + 2.35197i) q^{58} +(-5.09147 - 1.65432i) q^{59} +(-1.81696 + 14.1516i) q^{60} +(-1.96419 + 0.638204i) q^{61} +(4.07430 - 3.43747i) q^{62} +(20.3291 + 6.60534i) q^{63} +(-0.964603 - 7.94163i) q^{64} +(8.21278 + 5.46168i) q^{65} +(0.805726 + 0.954995i) q^{66} +(1.25093 + 0.908853i) q^{67} +(9.18741 - 4.54239i) q^{68} +(0.605700 - 0.833675i) q^{69} +(4.63258 - 8.19789i) q^{70} +(7.81261 - 5.67620i) q^{71} +(-10.2936 - 17.5011i) q^{72} +(-8.54291 + 2.77576i) q^{73} +(4.85308 + 3.01441i) q^{74} +(15.8971 - 1.32108i) q^{75} +(2.51602 - 1.24395i) q^{76} +(-0.254821 - 0.784258i) q^{77} +(-19.8491 + 1.44168i) q^{78} +(4.49455 - 3.26548i) q^{79} +(-8.45738 + 2.91081i) q^{80} +(-16.9856 - 12.3407i) q^{81} +(-7.69292 - 4.77833i) q^{82} +(10.7440 + 7.80599i) q^{83} +(2.74552 + 18.8005i) q^{84} +(-7.11368 - 8.98320i) q^{85} +(3.69160 - 14.9778i) q^{86} +(-13.3816 - 4.34795i) q^{87} +(-0.312802 + 0.718114i) q^{88} +(0.992059 + 3.05324i) q^{89} +(-16.7286 + 15.3448i) q^{90} +(12.4914 + 4.05871i) q^{91} +(0.636773 + 0.108749i) q^{92} +12.0257 q^{93} +(-3.72473 + 1.51656i) q^{94} +(-1.94811 - 2.46009i) q^{95} +(9.88976 - 15.0965i) q^{96} +(9.69449 + 13.3433i) q^{97} +(0.631729 - 2.56310i) q^{98} +1.98796i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 5 q^{2} - 3 q^{4} + q^{6} + 10 q^{8} - 30 q^{9}+O(q^{10}) $ 112 * q - 5 * q^2 - 3 * q^4 + q^6 + 10 * q^8 - 30 * q^9	$ 112 q - 5 q^{2} - 3 q^{4} + q^{6} + 10 q^{8} - 30 q^{9} - 9 q^{10} - 5 q^{12} - 3 q^{14} - 2 q^{15} - 15 q^{16} - 10 q^{17} - 17 q^{20} - 30 q^{22} - 10 q^{23} - 16 q^{24} - 6 q^{25} - 14 q^{26} + 15 q^{28} - 33 q^{30} - 18 q^{31} - 10 q^{33} + 9 q^{34} + 41 q^{36} + 45 q^{38} - 10 q^{39} - 14 q^{40} - 10 q^{41} + 75 q^{42} - 32 q^{44} + 13 q^{46} - 10 q^{47} - 70 q^{48} - 80 q^{49} - 19 q^{50} - 100 q^{52} + 43 q^{54} - 34 q^{55} + 36 q^{56} - 30 q^{58} - 28 q^{60} + 20 q^{62} + 60 q^{63} - 36 q^{64} + 40 q^{65} + 40 q^{66} + 42 q^{70} + 22 q^{71} - 65 q^{72} - 10 q^{73} + 4 q^{74} - 36 q^{76} - 55 q^{78} + 14 q^{79} - 76 q^{80} - 6 q^{81} + 78 q^{84} - 59 q^{86} - 10 q^{87} + 110 q^{88} + 24 q^{89} + 49 q^{90} + 90 q^{92} + 45 q^{94} - 86 q^{95} + 46 q^{96} - 50 q^{97} + 90 q^{98}+O(q^{100}) $ 112 * q - 5 * q^2 - 3 * q^4 + q^6 + 10 * q^8 - 30 * q^9 - 9 * q^10 - 5 * q^12 - 3 * q^14 - 2 * q^15 - 15 * q^16 - 10 * q^17 - 17 * q^20 - 30 * q^22 - 10 * q^23 - 16 * q^24 - 6 * q^25 - 14 * q^26 + 15 * q^28 - 33 * q^30 - 18 * q^31 - 10 * q^33 + 9 * q^34 + 41 * q^36 + 45 * q^38 - 10 * q^39 - 14 * q^40 - 10 * q^41 + 75 * q^42 - 32 * q^44 + 13 * q^46 - 10 * q^47 - 70 * q^48 - 80 * q^49 - 19 * q^50 - 100 * q^52 + 43 * q^54 - 34 * q^55 + 36 * q^56 - 30 * q^58 - 28 * q^60 + 20 * q^62 + 60 * q^63 - 36 * q^64 + 40 * q^65 + 40 * q^66 + 42 * q^70 + 22 * q^71 - 65 * q^72 - 10 * q^73 + 4 * q^74 - 36 * q^76 - 55 * q^78 + 14 * q^79 - 76 * q^80 - 6 * q^81 + 78 * q^84 - 59 * q^86 - 10 * q^87 + 110 * q^88 + 24 * q^89 + 49 * q^90 + 90 * q^92 + 45 * q^94 - 86 * q^95 + 46 * q^96 - 50 * q^97 + 90 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/200\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$177$
$\chi(n)$	$-1$	$1$	$e\left(\frac{9}{10}\right)$

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 $

$2$	−0.338435	+	1.37312i	−0.239309	+	0.970943i
$2$	−0.338435	+	1.37312i	−0.239309	+	0.970943i
$3$	−2.58107	+	1.87526i	−1.49018	+	1.08268i	−0.516086	+	0.856537i	$0.672612\pi$
$3$	−2.58107	+	1.87526i	−1.49018	+	1.08268i	−0.974094	+	0.226143i	$0.927388\pi$
$4$	−1.77092	−	0.929423i	−0.885462	−	0.464712i
$5$	−0.602254	+	2.15344i	−0.269336	+	0.963046i
$5$	−0.602254	+	2.15344i	−0.269336	+	0.963046i
$6$	−1.70143	−	4.17877i	−0.694606	−	1.70598i
$7$			2.97769i			1.12546i	0.826641	+	0.562730i	$0.190249\pi$
$7$			2.97769i			1.12546i	−0.826641	+	0.562730i	$0.809751\pi$
$8$	1.87555	−	2.11714i	0.663108	−	0.748524i
$9$	2.21828	−	6.82716i	0.739426	−	2.27572i
$10$	−2.75311	−	1.55576i	−0.870609	−	0.491976i
$11$	−0.263378	+	0.0855768i	−0.0794116	+	0.0258024i	−0.348453	−	0.937326i	$-0.613293\pi$
$11$	−0.263378	+	0.0855768i	−0.0794116	+	0.0258024i	0.269042	+	0.963129i	$0.413293\pi$
$12$	6.31378	−	0.922031i	1.82263	−	0.266167i
$13$	1.36304	−	4.19500i	0.378039	−	1.16349i	−0.563366	−	0.826207i	$-0.690494\pi$
$13$	1.36304	−	4.19500i	0.378039	−	1.16349i	0.941405	−	0.337278i	$-0.109506\pi$
$14$	−4.08873	−	1.00775i	−1.09276	−	0.269333i
$15$	−2.48379	−	6.68755i	−0.641311	−	1.72672i
$16$	2.27234	+	3.29188i	0.568086	+	0.822969i
$17$	−3.01210	+	4.14580i	−0.730542	+	1.00551i	0.268565	+	0.963262i	$0.413451\pi$
$17$	−3.01210	+	4.14580i	−0.730542	+	1.00551i	−0.999107	+	0.0422436i	$0.986549\pi$
$18$	8.62377	+	5.35651i	2.03264	+	1.26254i
$19$	−0.824879	+	1.13535i	−0.189240	+	0.260467i	−0.893086	−	0.449886i	$-0.851465\pi$
$19$	−0.824879	+	1.13535i	−0.189240	+	0.260467i	0.703846	+	0.710353i	$0.251465\pi$
$20$	3.06800	−	3.25382i	0.686026	−	0.727577i
$21$	−5.58392	−	7.68561i	−1.21851	−	1.67714i
$22$	−0.0283710	−	0.390613i	−0.00604872	−	0.0832789i
$23$	−0.307187	+	0.0998113i	−0.0640530	+	0.0208121i	−0.340868	−	0.940111i	$-0.610721\pi$
$23$	−0.307187	+	0.0998113i	−0.0640530	+	0.0208121i	0.276815	+	0.960923i	$0.410721\pi$
$24$	−0.870742	+	8.98164i	−0.177739	+	1.83337i
$25$	−4.27458	−	2.59383i	−0.854916	−	0.518766i
$26$	5.29895	+	3.29135i	1.03921	+	0.645488i
$27$	4.11950	+	12.6785i	0.792798	+	2.43998i
$28$	2.76753	−	5.27326i	0.523014	−	0.996552i
$29$	2.59226	+	3.56794i	0.481371	+	0.662550i	0.978768	−	0.204973i	$-0.0657107\pi$
$29$	2.59226	+	3.56794i	0.481371	+	0.662550i	−0.497397	+	0.867523i	$0.665711\pi$
$30$	10.0234	−	1.14724i	1.83002	−	0.209457i
$31$	−3.04947	−	2.21557i	−0.547702	−	0.397929i	0.279236	−	0.960223i	$-0.409919\pi$
$31$	−3.04947	−	2.21557i	−0.547702	−	0.397929i	−0.826937	+	0.562294i	$0.809919\pi$
$32$	−5.28919	+	2.00612i	−0.935005	+	0.354635i
$33$	0.519319	−	0.714781i	0.0904018	−	0.124427i
$34$	−4.67329	−	5.53907i	−0.801463	−	0.949942i
$35$	−6.41226	−	1.79332i	−1.08387	−	0.303127i
$36$	−10.2737	+	10.0287i	−1.71229	+	1.67144i
$37$	1.24835	−	3.84202i	0.205227	−	0.631625i	−0.794477	−	0.607295i	$-0.792255\pi$
$37$	1.24835	−	3.84202i	0.205227	−	0.631625i	0.999704	−	0.0243301i	$-0.00774527\pi$
$38$	−1.27980	−	1.51690i	−0.207612	−	0.246074i
$39$	4.34861	+	13.3836i	0.696335	+	2.14310i
$40$	3.42958	+	5.31394i	0.542264	+	0.840208i
$41$	−1.97884	+	6.09023i	−0.309042	+	0.951135i	0.669095	+	0.743177i	$0.266682\pi$
$41$	−1.97884	+	6.09023i	−0.309042	+	0.951135i	−0.978138	+	0.207958i	$0.933318\pi$
$42$	12.4431	−	5.06633i	1.92001	−	0.781752i
$43$	−10.9079			−1.66343			−0.831717	−	0.555199i	$-0.812642\pi$
$43$	−10.9079			−1.66343			−0.831717	+	0.555199i	$0.812642\pi$
$44$	0.545960	+	0.0932399i	0.0823066	+	0.0140564i
$45$	13.3659	+	8.88860i	1.99247	+	1.32503i
$46$	−0.0330901	−	0.455585i	−0.00487887	−	0.0671724i
$47$	1.67150	+	2.30062i	0.243813	+	0.335580i	0.913333	−	0.407214i	$-0.133500\pi$
$47$	1.67150	+	2.30062i	0.243813	+	0.335580i	−0.669519	+	0.742795i	$0.733500\pi$
$48$	−12.0382	−	4.23533i	−1.73756	−	0.611317i
$49$	−1.86662			−0.266660
$50$	5.00831	−	4.99168i	0.708282	−	0.705930i
$51$		−	16.3491i		−	2.28933i
$52$	−6.31278	+	6.16219i	−0.875424	+	0.854543i
$53$	0.378304	−	0.274854i	0.0519641	−	0.0377541i	−0.561500	−	0.827477i	$-0.689776\pi$
$53$	0.378304	−	0.274854i	0.0519641	−	0.0377541i	0.613464	+	0.789723i	$0.289776\pi$
$54$	−18.8033	+	1.36572i	−2.55881	+	0.185852i
$55$	−0.0256637	−	0.618708i	−0.00346050	−	0.0834265i
$56$	6.30419	+	5.58481i	0.842433	+	0.746302i
$57$		−	4.47727i		−	0.593029i
$58$	−5.77652	+	2.35197i	−0.758495	+	0.308829i
$59$	−5.09147	−	1.65432i	−0.662853	−	0.215374i	−0.0417804	−	0.999127i	$-0.513303\pi$
$59$	−5.09147	−	1.65432i	−0.662853	−	0.215374i	−0.621073	+	0.783753i	$0.713303\pi$
$60$	−1.81696	+	14.1516i	−0.234569	+	1.82697i
$61$	−1.96419	+	0.638204i	−0.251489	+	0.0817137i	−0.432049	−	0.901850i	$-0.642209\pi$
$61$	−1.96419	+	0.638204i	−0.251489	+	0.0817137i	0.180560	+	0.983564i	$0.442209\pi$
$62$	4.07430	−	3.43747i	0.517436	−	0.436559i
$63$	20.3291	+	6.60534i	2.56123	+	0.832194i
$64$	−0.964603	−	7.94163i	−0.120575	−	0.992704i
$65$	8.21278	+	5.46168i	1.01867	+	0.677438i
$66$	0.805726	+	0.954995i	0.0991780	+	0.117552i
$67$	1.25093	+	0.908853i	0.152825	+	0.111034i	0.661570	−	0.749883i	$-0.269890\pi$
$67$	1.25093	+	0.908853i	0.152825	+	0.111034i	−0.508745	+	0.860917i	$0.669890\pi$
$68$	9.18741	−	4.54239i	1.11414	−	0.550845i
$69$	0.605700	−	0.833675i	0.0729177	−	0.100363i
$70$	4.63258	−	8.19789i	0.553699	−	0.979835i
$71$	7.81261	−	5.67620i	0.927187	−	0.673640i	−0.0181158	−	0.999836i	$-0.505767\pi$
$71$	7.81261	−	5.67620i	0.927187	−	0.673640i	0.945302	+	0.326195i	$0.105767\pi$
$72$	−10.2936	−	17.5011i	−1.21311	−	2.06253i
$73$	−8.54291	+	2.77576i	−0.999872	+	0.324878i	−0.762814	−	0.646618i	$-0.776183\pi$
$73$	−8.54291	+	2.77576i	−0.999872	+	0.324878i	−0.237057	+	0.971496i	$0.576183\pi$
$74$	4.85308	+	3.01441i	0.564159	+	0.350418i
$75$	15.8971	−	1.32108i	1.83564	−	0.152545i
$76$	2.51602	−	1.24395i	0.288607	−	0.142691i
$77$	−0.254821	−	0.784258i	−0.0290395	−	0.0893745i
$78$	−19.8491	+	1.44168i	−2.24747	+	0.163238i
$79$	4.49455	−	3.26548i	0.505677	−	0.367396i	−0.305504	−	0.952191i	$-0.598825\pi$
$79$	4.49455	−	3.26548i	0.505677	−	0.367396i	0.811181	+	0.584795i	$0.198825\pi$
$80$	−8.45738	+	2.91081i	−0.945563	+	0.325438i
$81$	−16.9856	−	12.3407i	−1.88729	−	1.37119i
$82$	−7.69292	−	4.77833i	−0.849541	−	0.527678i
$83$	10.7440	+	7.80599i	1.17931	+	0.856819i	0.992094	−	0.125500i	$-0.0400534\pi$
$83$	10.7440	+	7.80599i	1.17931	+	0.856819i	0.187217	+	0.982319i	$0.440053\pi$
$84$	2.74552	+	18.8005i	0.299561	+	2.05130i
$85$	−7.11368	−	8.98320i	−0.771587	−	0.974365i
$86$	3.69160	−	14.9778i	0.398075	−	1.61510i
$87$	−13.3816	−	4.34795i	−1.43466	−	0.466149i
$88$	−0.312802	+	0.718114i	−0.0333448	+	0.0765512i
$89$	0.992059	+	3.05324i	0.105158	+	0.323643i	0.989768	−	0.142689i	$-0.0455750\pi$
$89$	0.992059	+	3.05324i	0.105158	+	0.323643i	−0.884610	+	0.466333i	$0.845575\pi$
$90$	−16.7286	+	15.3448i	−1.76335	+	1.61748i
$91$	12.4914	+	4.05871i	1.30946	+	0.425468i
$92$	0.636773	+	0.108749i	0.0663881	+	0.0113379i
$93$	12.0257			1.24700
$94$	−3.72473	+	1.51656i	−0.384176	+	0.156421i
$95$	−1.94811	−	2.46009i	−0.199872	−	0.252400i
$96$	9.88976	−	15.0965i	1.00937	−	1.54078i
$97$	9.69449	+	13.3433i	0.984327	+	1.35481i	0.934466	+	0.356053i	$0.115878\pi$
$97$	9.69449	+	13.3433i	0.984327	+	1.35481i	0.0498611	+	0.998756i	$0.484122\pi$
$98$	0.631729	−	2.56310i	0.0638142	−	0.258912i
$99$			1.98796i			0.199797i
$100$	5.15919	+	8.56637i	0.515919	+	0.856637i
$101$			19.4874i			1.93907i	0.244946	+	0.969537i	$0.421230\pi$
$101$			19.4874i			1.93907i	−0.244946	+	0.969537i	$0.578770\pi$
$102$	22.4492	+	5.53309i	2.22281	+	0.547857i
$103$	−4.15447	−	5.71814i	−0.409352	−	0.563425i	0.553708	−	0.832711i	$-0.313212\pi$
$103$	−4.15447	−	5.71814i	−0.409352	−	0.563425i	−0.963060	+	0.269286i	$0.913212\pi$
$104$	−6.32498	−	10.7537i	−0.620215	−	1.05449i
$105$	19.9134	−	7.39594i	1.94335	−	0.721770i
$106$	0.249377	+	0.612478i	0.0242216	+	0.0594891i
$107$	−11.2557			−1.08813			−0.544064	−	0.839044i	$-0.683115\pi$
$107$	−11.2557			−1.08813			−0.544064	+	0.839044i	$0.683115\pi$
$108$	4.48838	−	26.2814i	0.431895	−	2.52893i
$109$	9.07913	+	2.94999i	0.869623	+	0.282558i	0.709642	−	0.704563i	$-0.248857\pi$
$109$	9.07913	+	2.94999i	0.869623	+	0.282558i	0.159981	+	0.987120i	$0.448857\pi$
$110$	0.858246	+	0.174153i	0.0818306	+	0.0166048i
$111$	3.98270	+	12.2575i	0.378021	+	1.16343i
$112$	−9.80218	+	6.76633i	−0.926219	+	0.639358i
$113$	−10.0510	−	3.26576i	−0.945517	−	0.307217i	−0.204624	−	0.978841i	$-0.565597\pi$
$113$	−10.0510	−	3.26576i	−0.945517	−	0.307217i	−0.740892	+	0.671624i	$0.765597\pi$
$114$	6.14783	+	1.51526i	0.575797	+	0.141917i
$115$	−0.0299325	−	0.721621i	−0.00279122	−	0.0672915i
$116$	−1.27457	−	8.72786i	−0.118341	−	0.810361i
$117$	−25.6164	−	18.6114i	−2.36823	−	1.72062i
$118$	3.99471	−	6.43133i	0.367743	−	0.592052i
$119$	−12.3449	−	8.96910i	−1.13166	−	0.822196i
$120$	−18.8170	−	7.28431i	−1.71775	−	0.664963i
$121$	−8.83714	+	6.42056i	−0.803377	+	0.583687i
$122$	−0.211582	−	2.91306i	−0.0191557	−	0.263736i
$123$	−6.31323	−	19.4301i	−0.569245	−	1.75196i
$124$	3.34118	+	6.75786i	0.300047	+	0.606874i
$125$	8.16003	−	7.64290i	0.729855	−	0.683602i
$126$	−15.9500	+	25.6789i	−1.42094	+	2.28766i
$127$	1.29082	−	0.419412i	0.114542	−	0.0372168i	−0.251185	−	0.967939i	$-0.580820\pi$
$127$	1.29082	−	0.419412i	0.114542	−	0.0372168i	0.365727	+	0.930722i	$0.380820\pi$
$128$	11.2313	+	1.36321i	0.992714	+	0.120491i
$129$	28.1540	−	20.4550i	2.47882	−	1.80097i
$130$	−10.2790	+	9.42873i	−0.901531	+	0.826954i
$131$	−0.471129	+	0.648453i	−0.0411627	+	0.0566556i	−0.829102	−	0.559097i	$-0.811148\pi$
$131$	−0.471129	+	0.648453i	−0.0411627	+	0.0566556i	0.787940	+	0.615753i	$0.211148\pi$
$132$	−1.58401	+	0.783156i	−0.137870	+	0.0681650i
$133$	−3.38071	−	2.45623i	−0.293145	−	0.212982i
$134$	−1.67132	+	1.41009i	−0.144380	+	0.121813i
$135$	−29.7834	+	1.23540i	−2.56334	+	0.106326i
$136$	3.12791	+	14.1527i	0.268216	+	1.21359i
$137$	−6.89354	−	2.23985i	−0.588955	−	0.191363i	−0.000646705	−	1.00000i	$-0.500206\pi$
$137$	−6.89354	−	2.23985i	−0.588955	−	0.191363i	−0.588308	+	0.808637i	$0.700206\pi$
$138$	0.939747	+	1.11384i	0.0799966	+	0.0948167i
$139$	0.417329	−	0.135598i	0.0353973	−	0.0115013i	−0.291265	−	0.956642i	$-0.594076\pi$
$139$	0.417329	−	0.135598i	0.0353973	−	0.0115013i	0.326662	+	0.945141i	$0.394076\pi$
$140$	9.68887	+	9.13554i	0.818859	+	0.772094i
$141$	−8.62851	−	2.80357i	−0.726652	−	0.236103i
$142$	5.15005	+	12.6487i	0.432182	+	1.06145i
$143$			1.22152i			0.102148i
$144$	27.5148	−	8.21136i	2.29290	−	0.684280i
$145$	−9.24453	+	3.43346i	−0.767717	+	0.285134i
$146$	−0.920239	−	12.6699i	−0.0761595	−	1.04856i
$147$	4.81787	−	3.50039i	0.397372	−	0.288707i
$148$	−5.78160	+	5.64369i	−0.475244	+	0.463908i
$149$			1.65547i			0.135621i	0.997698	+	0.0678107i	$0.0216014\pi$
$149$			1.65547i			0.135621i	−0.997698	+	0.0678107i	$0.978399\pi$
$150$	−3.56612	+	22.2757i	−0.291172	+	1.81880i
$151$	−14.0629			−1.14442			−0.572211	−	0.820107i	$-0.693914\pi$
$151$	−14.0629			−1.14442			−0.572211	+	0.820107i	$0.693914\pi$
$152$	0.856593	+	3.87579i	0.0694788	+	0.314368i
$153$	21.6224	+	29.7606i	1.74806	+	2.40600i
$154$	1.16312	−	0.0844800i	0.0937270	−	0.00680759i
$155$	6.60765	−	5.23251i	0.530739	−	0.420286i
$156$	4.73801	−	27.7431i	0.379345	−	2.22123i
$157$	9.56521			0.763387			0.381693	−	0.924289i	$-0.375341\pi$
$157$	9.56521			0.763387			0.381693	+	0.924289i	$0.375341\pi$
$158$	2.96279	+	7.27672i	0.235707	+	0.578905i
$159$	−0.461007	+	1.41883i	−0.0365603	+	0.112521i
$160$	−1.13462	−	12.5981i	−0.0896998	−	0.995969i
$161$	−0.297207	−	0.914708i	−0.0234232	−	0.0720891i
$162$	22.6938	−	19.1467i	1.78300	−	1.50431i
$163$	−1.69722	+	5.22350i	−0.132936	+	0.409136i	−0.995263	−	0.0972156i	$-0.969006\pi$
$163$	−1.69722	+	5.22350i	−0.132936	+	0.409136i	0.862327	+	0.506352i	$0.169006\pi$
$164$	9.16477	−	8.94616i	0.715649	−	0.698578i
$165$	1.22647	+	1.54880i	0.0954809	+	0.120574i
$166$	−14.3547	+	12.1110i	−1.11414	+	0.939999i
$167$	−7.07399	+	9.73651i	−0.547401	+	0.753433i	−0.989657	−	0.143456i	$-0.954179\pi$
$167$	−7.07399	+	9.73651i	−0.547401	+	0.753433i	0.442255	+	0.896889i	$0.354179\pi$
$168$	−26.7445	−	2.59280i	−2.06338	−	0.200039i
$169$	−5.22297	−	3.79471i	−0.401767	−	0.291901i
$170$	14.7425	−	6.72772i	1.13070	−	0.515992i
$171$	5.92139	+	8.15009i	0.452820	+	0.623253i
$172$	19.3170	+	10.1380i	1.47291	+	0.773018i
$173$	5.37296	+	16.5363i	0.408498	+	1.25723i	0.917939	+	0.396722i	$0.129852\pi$
$173$	5.37296	+	16.5363i	0.408498	+	1.25723i	−0.509440	+	0.860506i	$0.670148\pi$
$174$	10.4991	−	16.9031i	0.795931	−	1.28142i
$175$	7.72361	−	12.7284i	0.583850	−	0.962174i
$176$	−0.880195	−	0.672549i	−0.0663472	−	0.0506953i
$177$	16.2437	−	5.27790i	1.22095	−	0.396711i
$178$	−4.52822	+	0.328894i	−0.339404	+	0.0246517i
$179$	12.5073	+	17.2148i	0.934841	+	1.28670i	0.957941	+	0.286964i	$0.0926462\pi$
$179$	12.5073	+	17.2148i	0.934841	+	1.28670i	−0.0231007	+	0.999733i	$0.507354\pi$
$180$	−15.4087	−	28.1636i	−1.14850	−	2.09919i
$181$	−4.82937	+	6.64706i	−0.358964	+	0.494072i	−0.949860	−	0.312676i	$-0.898775\pi$
$181$	−4.82937	+	6.64706i	−0.358964	+	0.494072i	0.590896	+	0.806748i	$0.298775\pi$
$182$	−9.80062	+	15.7786i	−0.726470	+	1.16959i
$183$	3.87291	−	5.33061i	0.286294	−	0.394050i
$184$	−0.364831	+	0.837562i	−0.0268957	+	0.0617459i
$185$	7.52173	+	5.00211i	0.553009	+	0.367763i
$186$	−4.06990	+	16.5127i	−0.298420	+	1.21077i
$187$	0.438538	−	1.34968i	0.0320691	−	0.0986985i
$188$	−0.821848	−	5.62776i	−0.0599394	−	0.410446i
$189$	−37.7526	+	12.2666i	−2.74610	+	0.892262i
$190$	4.03731	−	1.84242i	0.292898	−	0.133663i
$191$	−1.09517	+	3.37058i	−0.0792436	+	0.243887i	−0.982828	−	0.184523i	$-0.940926\pi$
$191$	−1.09517	+	3.37058i	−0.0792436	+	0.243887i	0.903585	+	0.428410i	$0.140926\pi$
$192$	17.3823	+	18.6890i	1.25446	+	1.34876i
$193$			13.3961i			0.964273i	0.876096	+	0.482137i	$0.160139\pi$
$193$			13.3961i			0.964273i	−0.876096	+	0.482137i	$0.839861\pi$
$194$	−21.6030	+	8.79587i	−1.55100	+	0.631507i
$195$	−31.4398	+	1.30411i	−2.25145	+	0.0933892i
$196$	3.30564	+	1.73488i	0.236117	+	0.123920i
$197$	4.15379	−	3.01790i	0.295945	−	0.215017i	−0.429897	−	0.902878i	$-0.641450\pi$
$197$	4.15379	−	3.01790i	0.295945	−	0.215017i	0.725842	+	0.687861i	$0.241450\pi$
$198$	−2.72971	−	0.672794i	−0.193992	−	0.0478134i
$199$	12.5552			0.890012			0.445006	−	0.895528i	$-0.353202\pi$
$199$	12.5552			0.890012			0.445006	+	0.895528i	$0.353202\pi$
$200$	−13.5087	+	4.18504i	−0.955211	+	0.295927i
$201$	−4.93307			−0.347952
$202$	−26.7586	−	6.59523i	−1.88273	−	0.464038i
$203$	−10.6242	+	7.71894i	−0.745673	+	0.541763i
$204$	−15.1952	+	28.9530i	−1.06388	+	2.02711i
$205$	−11.9232	−	7.92916i	−0.832750	−	0.553797i
$206$	9.25771	−	3.76938i	0.645015	−	0.262625i
$207$			2.31863i			0.161156i
$208$	16.9067	−	5.04554i	1.17227	−	0.349845i
$209$	0.120096	−	0.369617i	0.00830719	−	0.0255669i
$210$	3.41614	+	29.8466i	0.235736	+	2.05961i
$211$	7.25107	−	2.35602i	0.499184	−	0.162195i	−0.0485936	−	0.998819i	$-0.515474\pi$
$211$	7.25107	−	2.35602i	0.499184	−	0.162195i	0.547778	+	0.836624i	$0.315474\pi$
$212$	−0.925404	+	0.135141i	−0.0635570	+	0.00928153i
$213$	−9.52057	+	29.3013i	−0.652339	+	2.00769i
$214$	3.80931	−	15.4554i	0.260399	−	1.05651i
$215$	6.56930	−	23.4894i	0.448023	−	1.60196i
$216$	34.5686	+	15.0576i	2.35209	+	1.02454i
$217$	6.59728	−	9.08038i	0.447853	−	0.616416i
$218$	−7.12338	+	11.4684i	−0.482456	+	0.776736i
$219$	16.8446	−	23.1846i	1.13825	−	1.56667i
$220$	−0.529593	+	1.11954i	−0.0357051	+	0.0754791i
$221$	13.2861	+	18.2867i	0.893717	+	1.23010i
$222$	−18.1789	+	1.32037i	−1.22009	+	0.0886176i
$223$	18.3487	−	5.96185i	1.22872	−	0.399235i	0.378469	−	0.925614i	$-0.376451\pi$
$223$	18.3487	−	5.96185i	1.22872	−	0.399235i	0.850250	+	0.526379i	$0.176451\pi$
$224$	−5.97360	−	15.7495i	−0.399128	−	1.05231i
$225$	−27.1907	+	23.4294i	−1.81271	+	1.56196i
$226$	7.88588	−	12.6960i	0.524561	−	0.844523i
$227$	−7.44462	−	22.9122i	−0.494117	−	1.52073i	−0.818329	−	0.574751i	$-0.805099\pi$
$227$	−7.44462	−	22.9122i	−0.494117	−	1.52073i	0.324212	−	0.945984i	$-0.394901\pi$
$228$	−4.16128	+	7.92890i	−0.275587	+	0.525105i
$229$	−15.5176	−	21.3582i	−1.02544	−	1.41139i	−0.908322	−	0.418272i	$-0.862636\pi$
$229$	−15.5176	−	21.3582i	−1.02544	−	1.41139i	−0.117113	−	0.993119i	$-0.537364\pi$
$230$	1.00100	+	0.203120i	0.0660042	+	0.0133934i
$231$	2.12840	+	1.54637i	0.140038	+	0.101744i
$232$	12.4158	+	1.20367i	0.815135	+	0.0790248i
$233$	14.2161	−	19.5668i	0.931328	−	1.28186i	−0.0280108	−	0.999608i	$-0.508917\pi$
$233$	14.2161	−	19.5668i	0.931328	−	1.28186i	0.959339	−	0.282256i	$-0.0910827\pi$
$234$	34.2251	−	28.8756i	2.23737	−	1.88766i
$235$	−5.96091	+	2.21391i	−0.388847	+	0.144420i
$236$	7.47905	+	7.66181i	0.486845	+	0.498741i
$237$	−5.47713	+	16.8569i	−0.355778	+	1.09497i
$238$	16.4936	−	13.9156i	1.06912	−	0.902014i
$239$	4.76280	+	14.6584i	0.308080	+	0.948173i	0.978510	+	0.206200i	$0.0661097\pi$
$239$	4.76280	+	14.6584i	0.308080	+	0.948173i	−0.670430	+	0.741973i	$0.733890\pi$
$240$	16.3706	−	23.3727i	1.05671	−	1.50870i
$241$	4.82186	−	14.8402i	0.310604	−	0.955940i	−0.666923	−	0.745127i	$-0.732389\pi$
$241$	4.82186	−	14.8402i	0.310604	−	0.955940i	0.977526	−	0.210813i	$-0.0676111\pi$
$242$	−5.82541	−	14.3074i	−0.374472	−	0.919715i
$243$	26.9901			1.73141
$244$	4.07160	+	0.695353i	0.260657	+	0.0445154i
$245$	1.12418	−	4.01965i	0.0718211	−	0.256806i
$246$	28.8165	−	2.09301i	1.83728	−	0.133445i
$247$	3.63845	+	5.00790i	0.231509	+	0.318645i
$248$	−10.4101	+	2.30075i	−0.661044	+	0.146098i
$249$	−42.3693			−2.68505
$250$	7.73299	+	13.7913i	0.489077	+	0.872241i
$251$			2.59224i			0.163621i	0.996648	+	0.0818104i	$0.0260702\pi$
$251$			2.59224i			0.163621i	−0.996648	+	0.0818104i	$0.973930\pi$
$252$	−29.8622	−	30.5919i	−1.88114	−	1.92711i
$253$	0.0723650	−	0.0525763i	0.00454955	−	0.00330544i
$254$	0.139046	+	1.91439i	0.00872455	+	0.120120i
$255$	35.2067	+	9.84628i	2.20473	+	0.616598i
$256$	−5.67290	+	14.9606i	−0.354556	+	0.935035i
$257$		−	1.98944i		−	0.124098i	−0.998073	−	0.0620490i	$-0.980236\pi$
$257$		−	1.98944i		−	0.124098i	0.998073	−	0.0620490i	$-0.0197635\pi$
$258$	18.5590	+	45.5815i	1.15543	+	2.83778i
$259$	11.4403	+	3.71719i	0.710868	+	0.230975i
$260$	−9.46801	−	17.3054i	−0.587181	−	1.07323i
$261$	30.1092	−	9.78308i	1.86371	−	0.605558i
$262$	−0.730959	−	0.866376i	−0.0451588	−	0.0535249i
$263$	−14.8066	−	4.81097i	−0.913017	−	0.296657i	−0.185418	−	0.982660i	$-0.559364\pi$
$263$	−14.8066	−	4.81097i	−0.913017	−	0.296657i	−0.727599	+	0.686003i	$0.759364\pi$
$264$	−0.539285	−	2.44008i	−0.0331907	−	0.150177i
$265$	0.364046	+	0.980187i	0.0223632	+	0.0602124i
$266$	4.51685	−	3.81085i	0.276946	−	0.233658i
$267$	−8.28618	−	6.02026i	−0.507106	−	0.368434i
$268$	−1.37059	−	2.77215i	−0.0837222	−	0.169336i
$269$	0.776787	−	1.06916i	0.0473616	−	0.0651876i	−0.784679	−	0.619902i	$-0.787172\pi$
$269$	0.776787	−	1.06916i	0.0473616	−	0.0651876i	0.832041	+	0.554714i	$0.187172\pi$
$270$	8.38336	−	41.3143i	0.510195	−	2.51431i
$271$	11.7169	−	8.51285i	0.711753	−	0.517119i	−0.171986	−	0.985099i	$-0.555018\pi$
$271$	11.7169	−	8.51285i	0.711753	−	0.517119i	0.883739	+	0.467981i	$0.155018\pi$
$272$	−20.4920	−	0.494775i	−1.24251	−	0.0300001i
$273$	−39.8523	+	12.9488i	−2.41197	+	0.783697i
$274$	5.40859	−	8.70763i	0.326745	−	0.526047i
$275$	1.34780	+	0.317354i	0.0812756	+	0.0191371i
$276$	−1.84749	+	0.913423i	−0.111206	+	0.0549816i
$277$	3.95585	+	12.1748i	0.237684	+	0.731516i	0.996754	+	0.0805069i	$0.0256539\pi$
$277$	3.95585	+	12.1748i	0.237684	+	0.731516i	−0.759070	+	0.651009i	$0.774346\pi$
$278$	0.0449545	+	0.618934i	0.00269619	+	0.0371212i
$279$	−21.8906	+	15.9045i	−1.31056	+	0.952176i
$280$	−15.8233	+	10.2122i	−0.945621	+	0.610296i
$281$	−2.54841	−	1.85153i	−0.152025	−	0.110453i	0.509172	−	0.860665i	$-0.329952\pi$
$281$	−2.54841	−	1.85153i	−0.152025	−	0.110453i	−0.661198	+	0.750212i	$0.729952\pi$
$282$	6.76983	−	10.8992i	0.403138	−	0.649036i
$283$	−10.1940	−	7.40638i	−0.605971	−	0.440264i	0.242022	−	0.970271i	$-0.422189\pi$
$283$	−10.1940	−	7.40638i	−0.605971	−	0.440264i	−0.847993	+	0.530007i	$0.822189\pi$
$284$	−19.1111	+	2.79089i	−1.13404	+	0.165609i
$285$	9.64152	+	2.69645i	0.571114	+	0.159724i
$286$	−1.67729	−	0.413404i	−0.0991804	−	0.0244451i
$287$	−18.1348	−	5.89236i	−1.07046	−	0.347815i
$288$	1.96321	+	40.5602i	0.115684	+	2.39003i
$289$	−2.86164	−	8.80721i	−0.168332	−	0.518071i
$290$	−1.58589	−	13.8559i	−0.0931269	−	0.813644i
$291$	−50.0443	−	16.2604i	−2.93365	−	0.953200i
$292$	17.7087	+	3.02432i	1.03632	+	0.176985i
$293$	−9.19701			−0.537295			−0.268647	−	0.963239i	$-0.586577\pi$
$293$	−9.19701			−0.537295			−0.268647	+	0.963239i	$0.586577\pi$
$294$	3.17593	+	7.80018i	0.185224	+	0.454916i
$295$	6.62883	−	9.96785i	0.385946	−	0.580351i
$296$	−5.79278	−	9.84885i	−0.336698	−	0.572453i
$297$	−2.16997	−	2.98671i	−0.125915	−	0.173307i
$298$	−2.27316	−	0.560268i	−0.131681	−	0.0324555i
$299$			1.42470i			0.0823925i
$300$	−29.3804	−	12.4356i	−1.69628	−	0.717969i
$301$		−	32.4802i		−	1.87213i
$302$	4.75937	−	19.3101i	0.273871	−	1.11117i
$303$	−36.5440	−	50.2984i	−2.09940	−	2.88957i
$304$	−5.61183	−	0.135496i	−0.321861	−	0.00777126i
$305$	−0.191392	−	4.61412i	−0.0109591	−	0.264204i
$306$	−48.1827	+	19.6181i	−2.75442	+	1.12149i
$307$	24.3699			1.39087			0.695433	−	0.718591i	$-0.255213\pi$
$307$	24.3699			1.39087			0.695433	+	0.718591i	$0.255213\pi$
$308$	−0.277639	+	1.62570i	−0.0158200	+	0.0926328i
$309$	21.4459	+	6.96821i	1.22002	+	0.396407i
$310$	4.94862	+	10.8440i	0.281063	+	0.615896i
$311$	7.74867	+	23.8479i	0.439387	+	1.35229i	0.888524	+	0.458830i	$0.151731\pi$
$311$	7.74867	+	23.8479i	0.439387	+	1.35229i	−0.449138	+	0.893463i	$0.648269\pi$
$312$	36.4912	+	15.8951i	2.06590	+	0.899882i
$313$	10.3764	+	3.37148i	0.586506	+	0.190567i	0.587213	−	0.809432i	$-0.300225\pi$
$313$	10.3764	+	3.37148i	0.586506	+	0.190567i	−0.000706882		1.00000i	$0.500225\pi$
$314$	−3.23720	+	13.1342i	−0.182686	+	0.741205i
$315$	−26.4675	+	39.7994i	−1.49127	+	2.24244i
$316$	−10.9945	+	1.60558i	−0.618491	+	0.0903210i
$317$	−0.695505	−	0.505314i	−0.0390635	−	0.0283813i	0.568082	−	0.822972i	$-0.307686\pi$
$317$	−0.695505	−	0.505314i	−0.0390635	−	0.0283813i	−0.607146	+	0.794591i	$0.707686\pi$
$318$	−1.79221	−	1.11320i	−0.100502	−	0.0624253i
$319$	−0.988078	−	0.717881i	−0.0553218	−	0.0401936i
$320$	17.6827	+	2.70566i	0.988495	+	0.151251i
$321$	29.0517	−	21.1073i	1.62151	−	1.17809i
$322$	1.35659	−	0.0985320i	0.0755998	−	0.00549098i
$323$	−2.22231	−	6.83957i	−0.123653	−	0.380564i
$324$	18.6104	+	37.6413i	1.03391	+	2.09118i
$325$	−16.7076	+	14.3964i	−0.926768	+	0.798568i
$326$	−6.59811	−	4.09830i	−0.365435	−	0.226984i
$327$	−28.9658	+	9.41157i	−1.60181	+	0.520461i
$328$	9.18249	+	15.6120i	0.507018	+	0.862031i
$329$	−6.85053	+	4.97720i	−0.377682	+	0.274402i
$330$	−2.54177	+	1.15993i	−0.139920	+	0.0638521i
$331$	−4.98309	+	6.85864i	−0.273895	+	0.376985i	−0.923700	−	0.383117i	$-0.874851\pi$
$331$	−4.98309	+	6.85864i	−0.273895	+	0.376985i	0.649805	+	0.760101i	$0.274851\pi$
$332$	−11.7718	−	23.8096i	−0.646061	−	1.30672i
$333$	−23.4609	−	17.0453i	−1.28565	−	0.934079i
$334$	−10.9753	−	13.0086i	−0.600543	−	0.711799i
$335$	−2.71053	+	2.14644i	−0.148092	+	0.117272i
$336$	12.6115	−	35.8460i	0.688013	−	1.95556i
$337$	15.9864	+	5.19430i	0.870835	+	0.282951i	0.710147	−	0.704054i	$-0.248629\pi$
$337$	15.9864	+	5.19430i	0.870835	+	0.282951i	0.160688	+	0.987005i	$0.448629\pi$
$338$	6.97823	−	5.88751i	0.379566	−	0.320238i
$339$	32.0664	−	10.4190i	1.74161	−	0.565883i
$340$	4.24859	+	22.5202i	0.230412	+	1.22133i
$341$	0.992767	+	0.322570i	0.0537613	+	0.0174681i
$342$	−13.1951	+	5.37251i	−0.713508	+	0.290512i
$343$			15.2856i			0.825345i
$344$	−20.4583	+	23.0935i	−1.10304	+	1.24512i
$345$	1.43048	+	1.80642i	0.0770145	+	0.0972544i
$346$	−24.5247	+	1.78128i	−1.31845	+	0.0957622i
$347$	14.2663	−	10.3651i	0.765856	−	0.556427i	−0.134845	−	0.990867i	$-0.543054\pi$
$347$	14.2663	−	10.3651i	0.765856	−	0.556427i	0.900701	+	0.434440i	$0.143054\pi$
$348$	19.6567	+	20.1371i	1.05371	+	1.07946i
$349$		−	35.1956i		−	1.88398i	−0.335642	−	0.941990i	$-0.608953\pi$
$349$		−	35.1956i		−	1.88398i	0.335642	−	0.941990i	$-0.391047\pi$
$350$	14.8637	+	14.9132i	0.794496	+	0.797143i
$351$	58.8015			3.13859
$352$	1.22138	−	0.981000i	0.0650997	−	0.0522875i
$353$	−16.7024	−	22.9889i	−0.888980	−	1.22358i	−0.973852	−	0.227184i	$-0.927048\pi$
$353$	−16.7024	−	22.9889i	−0.888980	−	1.22358i	0.0848720	−	0.996392i	$-0.472952\pi$
$354$	1.74977	+	24.0908i	0.0929991	+	1.28041i
$355$	7.51815	+	20.2425i	0.399022	+	1.07436i
$356$	1.08089	−	6.32910i	0.0572873	−	0.335442i
$357$	48.6824			2.57655
$358$	−27.8710	+	11.3480i	−1.47303	+	0.599758i
$359$	3.94315	−	12.1358i	0.208112	−	0.640501i	−0.791460	−	0.611221i	$-0.790679\pi$
$359$	3.94315	−	12.1358i	0.208112	−	0.640501i	0.999571	−	0.0292801i	$-0.00932147\pi$
$360$	43.8869	−	11.6265i	2.31304	−	0.612769i
$361$	5.26273	+	16.1970i	0.276986	+	0.852475i
$362$	−7.49279	−	8.88091i	−0.393812	−	0.466770i
$363$	10.7691	−	33.1438i	0.565230	−	1.73960i
$364$	−18.3491	−	18.7975i	−0.961753	−	0.985255i
$365$	−0.832425	−	20.0683i	−0.0435711	−	1.05042i
$366$	6.00885	+	7.12204i	0.314087	+	0.372275i
$367$	12.5338	−	17.2512i	0.654257	−	0.900507i	−0.345018	−	0.938596i	$-0.612127\pi$
$367$	12.5338	−	17.2512i	0.654257	−	0.900507i	0.999274	+	0.0380891i	$0.0121271\pi$
$368$	−1.02660	−	0.784418i	−0.0535153	−	0.0408906i
$369$	37.1894	+	27.0197i	1.93600	+	1.40659i
$370$	−9.41412	+	8.63536i	−0.489417	+	0.448931i
$371$	0.818430	+	1.12647i	0.0424908	+	0.0584835i
$372$	−21.2965	−	11.1769i	−1.10417	−	0.579497i
$373$	3.63793	+	11.1964i	0.188365	+	0.579727i	0.999990	−	0.00445132i	$-0.00141691\pi$
$373$	3.63793	+	11.1964i	0.188365	+	0.579727i	−0.811625	+	0.584178i	$0.801417\pi$
$374$	1.70486	+	1.05894i	0.0881562	+	0.0547567i
$375$	−6.72921	+	35.0290i	−0.347495	+	1.80889i
$376$	8.00574	+	0.776131i	0.412864	+	0.0400259i
$377$	18.5009	−	6.01130i	0.952844	−	0.309598i
$378$	−4.06670	−	55.9904i	−0.209168	−	2.87983i
$379$	10.7274	+	14.7650i	0.551030	+	0.758428i	0.990152	−	0.140000i	$-0.0447102\pi$
$379$	10.7274	+	14.7650i	0.551030	+	0.758428i	−0.439121	+	0.898428i	$0.644710\pi$
$380$	1.16350	+	6.16726i	0.0596861	+	0.316374i
$381$	−2.54518	+	3.50315i	−0.130394	+	0.179472i
$382$	−4.25758	−	2.64452i	−0.217836	−	0.135305i
$383$	−21.1437	+	29.1018i	−1.08039	+	1.48703i	−0.221307	+	0.975204i	$0.571032\pi$
$383$	−21.1437	+	29.1018i	−1.08039	+	1.48703i	−0.859087	+	0.511830i	$0.828968\pi$
$384$	−31.5451	+	17.5430i	−1.60978	+	0.895237i
$385$	1.84232	−	0.0764185i	0.0938932	−	0.00389465i
$386$	−18.3945	−	4.53371i	−0.936255	−	0.230760i
$387$	−24.1967	+	74.4697i	−1.22999	+	3.78551i
$388$	−4.76661	−	32.6403i	−0.241988	−	1.65706i
$389$	2.67533	−	0.869269i	0.135645	−	0.0440737i	−0.240408	−	0.970672i	$-0.577281\pi$
$389$	2.67533	−	0.869269i	0.135645	−	0.0440737i	0.376053	+	0.926598i	$0.377281\pi$
$390$	8.84961	−	43.6120i	0.448118	−	2.20838i
$391$	0.511482	−	1.57418i	0.0258668	−	0.0796097i
$392$	−3.50094	+	3.95190i	−0.176824	+	0.199601i
$393$		−	2.55719i		−	0.128993i
$394$	2.73816	+	6.72501i	0.137947	+	0.338801i
$395$	4.32515	+	11.6454i	0.217622	+	0.585943i
$396$	1.84765	−	3.52052i	0.0928481	−	0.176913i
$397$	6.36873	−	4.62715i	0.319637	−	0.232230i	−0.416383	−	0.909189i	$-0.636703\pi$
$397$	6.36873	−	4.62715i	0.319637	−	0.232230i	0.736021	+	0.676959i	$0.236703\pi$
$398$	−4.24910	+	17.2398i	−0.212988	+	0.864151i
$399$	13.3319			0.667430
$400$	−1.17475	−	19.9655i	−0.0587377	−	0.998273i
$401$	−6.74733			−0.336946			−0.168473	−	0.985706i	$-0.553884\pi$
$401$	−6.74733			−0.336946			−0.168473	+	0.985706i	$0.553884\pi$
$402$	1.66952	−	6.77370i	0.0832681	−	0.337841i
$403$	−13.4509	+	9.77264i	−0.670037	+	0.486810i
$404$	18.1121	−	34.5108i	0.901110	−	1.71698i
$405$	36.8046	−	29.1451i	1.82884	−	1.44823i
$406$	−7.00344	−	17.2007i	−0.347575	−	0.853655i
$407$			1.11874i			0.0554537i
$408$	−34.6133	−	30.6635i	−1.71362	−	1.51807i
$409$	−8.52623	+	26.2411i	−0.421595	+	1.29754i	0.484622	+	0.874724i	$0.338957\pi$
$409$	−8.52623	+	26.2411i	−0.421595	+	1.29754i	−0.906217	+	0.422813i	$0.861043\pi$
$410$	14.9229	−	13.6885i	0.736990	−	0.676025i
$411$	21.9930	−	7.14596i	1.08483	−	0.352484i
$412$	2.04268	+	13.9876i	0.100636	+	0.689122i
$413$	4.92605	−	15.1608i	0.242395	−	0.746015i
$414$	−3.18375	−	0.784703i	−0.156473	−	0.0385661i
$415$	−23.2803	+	18.4354i	−1.14279	+	0.904958i
$416$	1.20631	+	24.9226i	0.0591444	+	1.22193i
$417$	−0.822872	+	1.13259i	−0.0402962	+	0.0554630i
$418$	0.466884	+	0.289997i	0.0228360	+	0.0141842i
$419$	−14.4072	+	19.8299i	−0.703839	+	0.968752i	0.296068	+	0.955167i	$0.404324\pi$
$419$	−14.4072	+	19.8299i	−0.703839	+	0.968752i	−0.999908	+	0.0135851i	$0.995676\pi$
$420$	−42.1391	−	5.41035i	−2.05618	−	0.263998i
$421$	15.9444	+	21.9456i	0.777084	+	1.06956i	0.995598	+	0.0937303i	$0.0298792\pi$
$421$	15.9444	+	21.9456i	0.777084	+	1.06956i	−0.218514	+	0.975834i	$0.570121\pi$
$422$	0.781083	+	10.7540i	0.0380225	+	0.523494i
$423$	19.4146	−	6.30817i	0.943968	−	0.306714i
$424$	0.127624	−	1.31643i	0.00619795	−	0.0639314i
$425$	23.6290	−	9.90869i	1.14617	−	0.480642i
$426$	−37.0121	−	22.9895i	−1.79324	−	1.11384i
$427$	−1.90037	−	5.84875i	−0.0919655	−	0.283041i
$428$	19.9330	+	10.4613i	0.963496	+	0.505666i
$429$	−2.29066	−	3.15282i	−0.110594	−	0.152220i
$430$	30.0305	+	16.9701i	1.44820	+	0.818370i
$431$	−6.94699	−	5.04728i	−0.334625	−	0.243119i	0.407766	−	0.913087i	$-0.366308\pi$
$431$	−6.94699	−	5.04728i	−0.334625	−	0.243119i	−0.742390	+	0.669968i	$0.766308\pi$
$432$	−32.3752	+	42.3708i	−1.55765	+	2.03857i
$433$	17.2045	−	23.6800i	0.826797	−	1.13799i	−0.161714	−	0.986838i	$-0.551702\pi$
$433$	17.2045	−	23.6800i	0.826797	−	1.13799i	0.988511	−	0.151150i	$-0.0482978\pi$
$434$	10.2357	+	12.1320i	0.491330	+	0.582354i
$435$	17.4221	−	26.1979i	0.835328	−	1.25609i
$436$	−13.3367	−	13.6626i	−0.638710	−	0.654318i
$437$	0.140072	−	0.431097i	0.00670055	−	0.0206222i
$438$	26.1344	+	30.9761i	1.24875	+	1.48009i
$439$	3.98757	+	12.2725i	0.190317	+	0.585734i	0.999999	−	0.00113362i	$-0.000360843\pi$
$439$	3.98757	+	12.2725i	0.190317	+	0.585734i	−0.809683	+	0.586868i	$0.800361\pi$
$440$	−1.35803	−	1.10608i	−0.0647414	−	0.0527305i
$441$	−4.14068	+	12.7437i	−0.197175	+	0.606843i
$442$	−29.6063	+	12.0545i	−1.40823	+	0.573375i
$443$	1.10768			0.0526274			0.0263137	−	0.999654i	$-0.491623\pi$
$443$	1.10768			0.0526274			0.0263137	+	0.999654i	$0.491623\pi$
$444$	4.33934	−	25.4087i	0.205936	−	1.20584i
$445$	−7.17244	+	0.297510i	−0.340006	+	0.0141033i
$446$	1.97651	+	27.2127i	0.0935906	+	1.28856i
$447$	−3.10443	−	4.27288i	−0.146834	−	0.202100i
$448$	23.6477	−	2.87229i	1.11725	−	0.135703i
$449$	−6.01273			−0.283758			−0.141879	−	0.989884i	$-0.545314\pi$
$449$	−6.01273			−0.283758			−0.141879	+	0.989884i	$0.545314\pi$
$450$	−22.9691	−	45.2654i	−1.08278	−	2.13383i
$451$		−	1.77338i		−	0.0835051i
$452$	14.7642	+	15.1250i	0.694452	+	0.711422i
$453$	36.2973	−	26.3715i	1.70539	−	1.23904i
$454$	33.9807	−	2.46809i	1.59479	−	0.115833i
$455$	−16.2632	+	24.4551i	−0.762429	+	1.14647i
$456$	−9.47903	−	8.39736i	−0.443896	−	0.393242i
$457$		−	36.8695i		−	1.72468i	−0.506328	−	0.862341i	$-0.668997\pi$
$457$		−	36.8695i		−	1.72468i	0.506328	−	0.862341i	$-0.331003\pi$
$458$	34.5791	−	14.0793i	1.61578	−	0.657880i
$459$	−64.9710	−	21.1103i	−3.03258	−	0.985347i
$460$	−0.617683	+	1.30576i	−0.0287996	+	0.0608812i
$461$	−32.4405	+	10.5406i	−1.51091	+	0.490923i	−0.943177	−	0.332291i	$-0.892178\pi$
$461$	−32.4405	+	10.5406i	−1.51091	+	0.490923i	−0.567730	+	0.823215i	$0.692178\pi$
$462$	−2.84368	+	2.39920i	−0.132300	+	0.111621i
$463$	39.9752	+	12.9887i	1.85780	+	0.603637i	0.995212	+	0.0977353i	$0.0311599\pi$
$463$	39.9752	+	12.9887i	1.85780	+	0.603637i	0.862591	+	0.505902i	$0.168840\pi$
$464$	−5.85471	+	16.6410i	−0.271798	+	0.772538i
$465$	−7.24250	+	25.8965i	−0.335863	+	1.20092i
$466$	22.0564	+	26.1425i	1.02174	+	1.21103i
$467$	−9.30036	−	6.75711i	−0.430370	−	0.312682i	0.351427	−	0.936215i	$-0.385696\pi$
$467$	−9.30036	−	6.75711i	−0.430370	−	0.312682i	−0.781797	+	0.623533i	$0.785696\pi$
$468$	28.0668	+	56.7678i	1.29739	+	2.62409i
$469$	−2.70628	+	3.72488i	−0.124964	+	0.171999i
$470$	−1.02259	−	8.93432i	−0.0471686	−	0.412109i
$471$	−24.6884	+	17.9372i	−1.13758	+	0.826503i
$472$	−13.0518	+	7.67662i	−0.600756	+	0.353345i
$473$	2.87290	−	0.933461i	0.132096	−	0.0429206i
$474$	−21.2929	−	13.2257i	−0.978015	−	0.607477i
$475$	6.47091	−	2.71354i	0.296906	−	0.124506i
$476$	13.5258	+	27.3572i	0.619954	+	1.25392i
$477$	−1.03729	−	3.19245i	−0.0474942	−	0.146172i
$478$	−21.7396	+	1.57900i	−0.994348	+	0.0722216i
$479$	9.62460	−	6.99268i	0.439759	−	0.319504i	−0.345780	−	0.938316i	$-0.612386\pi$
$479$	9.62460	−	6.99268i	0.439759	−	0.319504i	0.785539	+	0.618812i	$0.212386\pi$
$480$	26.5532	+	30.3889i	1.21198	+	1.38706i
$481$	−14.4158	−	10.4737i	−0.657302	−	0.477558i
$482$	18.7455	+	11.6434i	0.853833	+	0.530344i
$483$	2.48242	+	1.80359i	0.112954	+	0.0820660i
$484$	21.6173	−	3.15688i	0.982606	−	0.143494i
$485$	−34.5726	+	12.8404i	−1.56986	+	0.583053i
$486$	−9.13437	+	37.0606i	−0.414343	+	1.68110i
$487$	20.8019	+	6.75894i	0.942622	+	0.306277i	0.739714	−	0.672921i	$-0.234961\pi$
$487$	20.8019	+	6.75894i	0.942622	+	0.306277i	0.202908	+	0.979198i	$0.434961\pi$
$488$	−2.33277	+	5.35546i	−0.105600	+	0.242430i
$489$	−5.41477	−	16.6649i	−0.244864	−	0.753615i
$490$	5.13900	+	2.90402i	0.232157	+	0.131190i
$491$	3.07965	+	1.00064i	0.138983	+	0.0451582i	0.377682	−	0.925935i	$-0.376721\pi$
$491$	3.07965	+	1.00064i	0.138983	+	0.0451582i	−0.238700	+	0.971093i	$0.576721\pi$
$492$	−6.87856	+	40.2770i	−0.310110	+	1.81583i
$493$	−22.6001			−1.01786
$494$	−8.10782	+	3.30119i	−0.364788	+	0.148527i
$495$	−4.28094	−	1.19725i	−0.192414	−	0.0538126i
$496$	0.363935	−	15.0730i	0.0163412	−	0.676799i
$497$	16.9019	+	23.2635i	0.758155	+	1.04351i
$498$	14.3392	−	58.1782i	0.642556	−	2.60703i
$499$		−	4.70824i		−	0.210770i	−0.994432	−	0.105385i	$-0.966393\pi$
$499$		−	4.70824i		−	0.210770i	0.994432	−	0.105385i	$-0.0336074\pi$
$500$	−21.5543	+	5.95087i	−0.963937	+	0.266131i
$501$		−	38.3961i		−	1.71541i
$502$	−3.55946	−	0.877304i	−0.158867	−	0.0391560i
$503$	7.58802	+	10.4440i	0.338333	+	0.465676i	0.943954	−	0.330078i	$-0.107075\pi$
$503$	7.58802	+	10.4440i	0.338333	+	0.465676i	−0.605621	+	0.795754i	$0.707075\pi$
$504$	52.1128	−	30.6511i	2.32129	−	1.36531i
$505$	−41.9650	−	11.7364i	−1.86742	−	0.522262i
$506$	0.0477028	+	0.117160i	0.00212065	+	0.00520838i
$507$	20.5969			0.914740
$508$	−2.67575	−	0.456969i	−0.118717	−	0.0202747i
$509$	8.87419	+	2.88340i	0.393342	+	0.127804i	0.499008	−	0.866597i	$-0.333698\pi$
$509$	8.87419	+	2.88340i	0.393342	+	0.127804i	−0.105667	+	0.994402i	$0.533698\pi$
$510$	−25.4353	+	45.0107i	−1.12629	+	1.99311i
$511$	−8.26534	−	25.4381i	−0.365637	−	1.12532i
$512$	−18.6228	−	12.8527i	−0.823017	−	0.568017i
$513$	−17.7926	−	5.78117i	−0.785563	−	0.255245i
$514$	2.73175	+	0.673296i	0.120492	+	0.0296978i
$515$	14.8157	−	5.50262i	0.652857	−	0.242474i
$516$	−68.8699	+	10.0574i	−3.03183	+	0.442752i
$517$	−0.637117	−	0.462892i	−0.0280204	−	0.0203580i
$518$	−8.97596	+	14.4510i	−0.394381	+	0.634938i
$519$	−44.8777	−	32.6055i	−1.96991	−	1.43122i
$520$	26.9667	−	7.14399i	1.18257	−	0.313285i
$521$	−14.6710	+	10.6591i	−0.642748	+	0.466984i	−0.860793	−	0.508955i	$-0.830032\pi$
$521$	−14.6710	+	10.6591i	−0.642748	+	0.466984i	0.218045	+	0.975939i	$0.430032\pi$
$522$	3.24336	+	44.6546i	0.141958	+	1.95448i
$523$	7.22455	+	22.2349i	0.315908	+	0.972264i	0.975379	+	0.220534i	$0.0707800\pi$
$523$	7.22455	+	22.2349i	0.315908	+	0.972264i	−0.659472	+	0.751729i	$0.729220\pi$
$524$	1.43702	−	0.710483i	0.0627766	−	0.0310376i
$525$	3.93377	+	47.3365i	0.171684	+	2.06594i
$526$	11.6171	−	18.7031i	0.506531	−	0.815495i
$527$	18.3707	−	5.96899i	0.800238	−	0.260013i
$528$	3.53304	+	0.0853046i	0.153756	+	0.00371240i
$529$	−18.5230	+	13.4577i	−0.805347	+	0.585119i
$530$	−1.46912	+	0.168150i	−0.0638145	+	0.00730399i
$531$	−22.5886	+	31.0905i	−0.980262	+	1.34921i
$532$	3.70411	+	7.49191i	0.160593	+	0.324816i
$533$	22.8513	+	16.6025i	0.989801	+	0.719132i
$534$	11.0709	−	9.34047i	0.479084	−	0.404202i
$535$	6.77877	−	24.2384i	0.293072	−	1.04792i
$536$	4.27036	−	0.943796i	0.184451	−	0.0407658i
$537$	−64.5645	−	20.9783i	−2.78616	−	0.905279i
$538$	1.20519	+	1.42846i	0.0519594	+	0.0615854i
$539$	0.491627	−	0.159739i	0.0211759	−	0.00688046i
$540$	53.8923	+	25.4935i	2.31915	+	1.09707i
$541$	−1.23623	−	0.401675i	−0.0531496	−	0.0172694i	0.282322	−	0.959320i	$-0.408896\pi$
$541$	−1.23623	−	0.401675i	−0.0531496	−	0.0172694i	−0.335471	+	0.942050i	$0.608896\pi$
$542$	7.72376	+	18.9698i	0.331764	+	0.814823i
$543$		−	26.2128i		−	1.12490i
$544$	7.61459	−	27.9706i	0.326473	−	1.19923i
$545$	−11.8206	+	17.7747i	−0.506337	+	0.761384i
$546$	−4.29287	−	59.1044i	−0.183718	−	2.52943i
$547$	1.78489	−	1.29680i	0.0763163	−	0.0554470i	−0.548973	−	0.835840i	$-0.684981\pi$
$547$	1.78489	−	1.29680i	0.0763163	−	0.0554470i	0.625289	+	0.780393i	$0.284981\pi$
$548$	10.1262	+	10.3736i	0.432569	+	0.443139i
$549$			14.8256i			0.632739i
$550$	−0.891908	+	1.74329i	−0.0380311	+	0.0743343i
$551$	−6.18915			−0.263667
$552$	−0.628987	−	2.84596i	−0.0267715	−	0.121132i
$553$	9.72359	+	13.3834i	0.413489	+	0.569119i
$554$	−18.0563	+	1.31147i	−0.767140	+	0.0557190i
$555$	−28.7943	+	1.19438i	−1.22225	+	0.0506985i
$556$	−0.865085	−	0.147741i	−0.0366878	−	0.00626560i
$557$	−22.2912			−0.944509			−0.472255	−	0.881462i	$-0.656560\pi$
$557$	−22.2912			−0.944509			−0.472255	+	0.881462i	$0.656560\pi$
$558$	−14.4302	−	35.4411i	−0.610880	−	1.50034i
$559$	−14.8679	+	45.7586i	−0.628844	+	1.93538i
$560$	−8.66747	−	25.1834i	−0.366268	−	1.06419i
$561$	1.39910	+	4.30599i	0.0590701	+	0.181799i
$562$	3.40484	−	2.87265i	0.143624	−	0.121176i
$563$	6.54968	−	20.1578i	0.276036	−	0.849551i	−0.712907	−	0.701258i	$-0.752622\pi$
$563$	6.54968	−	20.1578i	0.276036	−	0.849551i	0.988943	−	0.148293i	$-0.0473780\pi$
$564$	12.6747	+	12.9845i	0.533702	+	0.546744i
$565$	13.0858	−	19.6773i	0.550526	−	0.827832i
$566$	13.6199	−	11.4910i	0.572486	−	0.483004i
$567$	36.7469	−	50.5777i	1.54322	−	2.12406i
$568$	2.63564	−	27.1864i	0.110589	−	1.14072i
$569$	1.34832	+	0.979610i	0.0565244	+	0.0410674i	0.615689	−	0.787989i	$-0.288878\pi$
$569$	1.34832	+	0.979610i	0.0565244	+	0.0410674i	−0.559164	+	0.829057i	$0.688878\pi$
$570$	−6.96558	+	12.3264i	−0.291756	+	0.516296i
$571$	−2.18726	−	3.01051i	−0.0915340	−	0.125986i	0.760794	−	0.648994i	$-0.224810\pi$
$571$	−2.18726	−	3.01051i	−0.0915340	−	0.125986i	−0.852328	+	0.523008i	$0.824810\pi$
$572$	1.13531	−	2.16322i	0.0474696	−	0.0904486i
$573$	−3.49400	−	10.7534i	−0.145964	−	0.449231i
$574$	14.2284	−	22.9071i	0.593881	−	0.956124i
$575$	1.57199	+	0.370141i	0.0655566	+	0.0154359i
$576$	−56.3585	−	11.0312i	−2.34827	−	0.459635i
$577$	−23.2030	+	7.53910i	−0.965952	+	0.313857i	−0.749181	−	0.662366i	$-0.769553\pi$
$577$	−23.2030	+	7.53910i	−0.965952	+	0.313857i	−0.216771	+	0.976222i	$0.569553\pi$
$578$	13.0618	−	0.948710i	0.543301	−	0.0394611i
$579$	−25.1211	−	34.5763i	−1.04400	−	1.43694i
$580$	19.5625	+	2.51168i	0.812289	+	0.104292i
$581$	−23.2438	+	31.9924i	−0.964315	+	1.32727i
$582$	39.2642	−	63.2138i	1.62755	−	2.62030i
$583$	−0.0761160	+	0.104765i	−0.00315240	+	0.00433891i
$584$	−10.1460	+	23.2927i	−0.419844	+	0.963857i
$585$	55.5060	−	43.9544i	2.29489	−	1.81729i
$586$	3.11258	−	12.6286i	0.128580	−	0.521683i
$587$	4.25195	−	13.0862i	0.175497	−	0.540123i	−0.824159	−	0.566358i	$-0.808352\pi$
$587$	4.25195	−	13.0862i	0.175497	−	0.540123i	0.999656	+	0.0262350i	$0.00835183\pi$
$588$	−11.7854	+	1.72108i	−0.486023	+	0.0709762i
$589$	5.03089	−	1.63464i	0.207294	−	0.0673540i
$590$	11.4436	+	12.4757i	0.471127	+	0.513615i
$591$	−5.06187	+	15.5788i	−0.208217	+	0.640827i
$592$	15.4841	−	4.62099i	0.636394	−	0.189922i
$593$		−	18.8934i		−	0.775861i	−0.921689	−	0.387930i	$-0.873190\pi$
$593$		−	18.8934i		−	0.775861i	0.921689	−	0.387930i	$-0.126810\pi$
$594$	4.83551	−	1.96883i	0.198403	−	0.0807821i
$595$	26.7492	−	21.1823i	1.09661	−	0.868390i
$596$	1.53863	−	2.93171i	0.0630248	−	0.120088i
$597$	−32.4057	+	23.5441i	−1.32628	+	0.963598i
$598$	−1.95629	−	0.482168i	−0.0799985	−	0.0197173i
$599$	33.9391			1.38671			0.693356	−	0.720595i	$-0.256131\pi$
$599$	33.9391			1.38671			0.693356	+	0.720595i	$0.256131\pi$
$600$	27.0189	−	36.1342i	1.10304	−	1.47517i
$601$	13.3568			0.544836			0.272418	−	0.962179i	$-0.412177\pi$
$601$	13.3568			0.544836			0.272418	+	0.962179i	$0.412177\pi$
$602$	44.5993	+	10.9924i	1.81773	+	0.448018i
$603$	8.97979	−	6.52420i	0.365685	−	0.265686i
$604$	24.9043	+	13.0704i	1.01334	+	0.531826i
$605$	−8.50407	−	22.8970i	−0.345740	−	0.930897i
$606$	81.4336	−	33.1565i	3.30801	−	1.34689i
$607$			22.7175i			0.922076i	0.887380	+	0.461038i	$0.152523\pi$
$607$			22.7175i			0.922076i	−0.887380	+	0.461038i	$0.847477\pi$
$608$	2.08529	−	7.65987i	0.0845697	−	0.310649i
$609$	12.9468	−	39.8462i	0.524632	−	1.61465i
$610$	6.40052	+	1.29877i	0.259150	+	0.0525858i
$611$	11.9294	−	3.87611i	0.482614	−	0.156811i
$612$	−10.6313	−	72.8002i	−0.429747	−	2.94277i
$613$	9.25887	−	28.4959i	0.373962	−	1.15094i	−0.570214	−	0.821496i	$-0.693140\pi$
$613$	9.25887	−	28.4959i	0.373962	−	1.15094i	0.944176	−	0.329441i	$-0.106860\pi$
$614$	−8.24763	+	33.4629i	−0.332847	+	1.35045i
$615$	45.6437	−	1.89328i	1.84053	−	0.0763445i
$616$	−2.13832	−	0.931425i	−0.0861553	−	0.0375282i
$617$	14.2585	−	19.6251i	0.574025	−	0.790077i	−0.419000	−	0.907986i	$-0.637619\pi$
$617$	14.2585	−	19.6251i	0.574025	−	0.790077i	0.993024	+	0.117909i	$0.0376192\pi$
$618$	−16.8262	+	27.0896i	−0.676851	+	1.08970i
$619$	−20.9345	+	28.8138i	−0.841428	+	1.15813i	0.144259	+	0.989540i	$0.453920\pi$
$619$	−20.9345	+	28.8138i	−0.841428	+	1.15813i	−0.985687	+	0.168586i	$0.946080\pi$
$620$	−16.5649	+	3.12508i	−0.665261	+	0.125506i
$621$	−2.53092	−	3.48351i	−0.101562	−	0.139788i
$622$	−35.3685	+	2.56889i	−1.41815	+	0.103003i
$623$	−9.09160	+	2.95404i	−0.364247	+	0.118351i
$624$	−34.1758	+	44.7273i	−1.36813	+	1.79053i
$625$	11.5441	+	22.1751i	0.461764	+	0.887003i
$626$	−8.14117	+	13.1070i	−0.325387	+	0.523860i
$627$	0.383150	+	1.17922i	0.0153016	+	0.0470933i
$628$	−16.9393	−	8.89013i	−0.675950	−	0.354755i
$629$	12.1681	+	16.7480i	0.485175	+	0.667786i
$630$	−45.6919	−	49.8125i	−1.82041	−	1.98458i
$631$	−5.35186	−	3.88835i	−0.213054	−	0.154793i	0.476140	−	0.879369i	$-0.342035\pi$
$631$	−5.35186	−	3.88835i	−0.213054	−	0.154793i	−0.689194	+	0.724576i	$0.742035\pi$
$632$	1.51627	−	15.6402i	0.0603140	−	0.622134i
$633$	−14.2974	+	19.6786i	−0.568270	+	0.782156i
$634$	0.929240	−	0.783997i	0.0369049	−	0.0311365i
$635$	0.125778	+	3.03229i	0.00499135	+	0.120333i
$636$	2.13511	−	2.08418i	0.0846625	−	0.0826430i
$637$	−2.54428	+	7.83048i	−0.100808	+	0.310255i
$638$	1.32014	−	1.11380i	0.0522647	−	0.0440956i
$639$	−21.4217	−	65.9293i	−0.847430	−	2.60812i
$640$	−9.69966	+	23.3649i	−0.383413	+	0.923577i
$641$	6.78939	−	20.8956i	0.268165	−	0.825327i	−0.722782	−	0.691076i	$-0.757137\pi$
$641$	6.78939	−	20.8956i	0.268165	−	0.825327i	0.990947	−	0.134251i	$-0.0428629\pi$
$642$	19.1508	+	47.0349i	0.755820	+	1.85632i
$643$	−32.6614			−1.28804			−0.644019	−	0.765009i	$-0.722734\pi$
$643$	−32.6614			−1.28804			−0.644019	+	0.765009i	$0.722734\pi$
$644$	−0.323821	+	1.89611i	−0.0127603	+	0.0747172i
$645$	27.0928	+	72.9469i	1.06678	+	2.87228i
$646$	10.1437	−	0.736756i	0.399097	−	0.0289873i
$647$	−20.5295	−	28.2564i	−0.807098	−	1.11088i	−0.991765	−	0.128074i	$-0.959120\pi$
$647$	−20.5295	−	28.2564i	−0.807098	−	1.11088i	0.184666	−	0.982801i	$-0.440880\pi$
$648$	−57.9845	+	12.8152i	−2.27785	+	0.503429i
$649$	1.48256			0.0581954
$650$	−14.1136	−	27.8137i	−0.553580	−	1.09094i
$651$			35.8087i			1.40345i
$652$	7.86049	−	7.67299i	0.307841	−	0.300498i
$653$	31.5991	−	22.9581i	1.23657	−	0.898420i	0.239204	−	0.970969i	$-0.423114\pi$
$653$	31.5991	−	22.9581i	1.23657	−	0.898420i	0.997365	+	0.0725499i	$0.0231137\pi$
$654$	−3.12019	−	42.9588i	−0.122009	−	1.67982i
$655$	−1.11266	−	1.40508i	−0.0434754	−	0.0549010i
$656$	−24.5449	+	7.32502i	−0.958317	+	0.285994i
$657$			64.4812i			2.51565i
$658$	−4.51585	−	11.0911i	−0.176046	−	0.432375i
$659$	−40.4722	−	13.1502i	−1.57657	−	0.512260i	−0.615402	−	0.788213i	$-0.711006\pi$
$659$	−40.4722	−	13.1502i	−1.57657	−	0.512260i	−0.961171	+	0.275953i	$0.911006\pi$
$660$	−0.732503	−	3.88272i	−0.0285126	−	0.151135i
$661$	−15.1858	+	4.93417i	−0.590660	+	0.191917i	−0.589071	−	0.808082i	$-0.700506\pi$
$661$	−15.1858	+	4.93417i	−0.590660	+	0.191917i	−0.00158966	+	0.999999i	$0.500506\pi$
$662$	−7.73129	−	9.16359i	−0.300485	−	0.356153i
$663$	−68.5844	−	22.2844i	−2.66360	−	0.865455i
$664$	36.6774	−	8.10611i	1.42336	−	0.314578i
$665$	7.32538	−	5.80088i	0.284066	−	0.224948i
$666$	31.3453	−	26.4459i	1.21461	−	1.02476i
$667$	−1.15243	−	0.837290i	−0.0446223	−	0.0324200i
$668$	21.5768	−	10.6679i	0.834832	−	0.412753i
$669$	−36.1792	+	49.7964i	−1.39877	+	1.92524i
$670$	−2.02998	−	4.44832i	−0.0784250	−	0.171854i
$671$	0.462710	−	0.336178i	0.0178627	−	0.0129780i
$672$	44.9527	+	29.4486i	1.73409	+	1.13600i
$673$	−8.44939	+	2.74537i	−0.325700	+	0.105826i	−0.467303	−	0.884097i	$-0.654774\pi$
$673$	−8.44939	+	2.74537i	−0.325700	+	0.105826i	0.141603	+	0.989924i	$0.454774\pi$
$674$	−12.5427	+	20.1933i	−0.483129	+	0.777818i
$675$	15.2768	−	64.8806i	0.588003	−	2.49726i
$676$	5.72259	+	11.5745i	0.220100	+	0.445173i
$677$	7.28520	+	22.4216i	0.279993	+	0.861730i	0.987855	+	0.155379i	$0.0496600\pi$
$677$	7.28520	+	22.4216i	0.279993	+	0.861730i	−0.707862	+	0.706351i	$0.750340\pi$
$678$	3.45418	+	47.5572i	0.132657	+	1.82642i
$679$	−39.7323	+	28.8672i	−1.52478	+	1.10782i
$680$	−32.3608	−	1.78778i	−1.24098	−	0.0685582i
$681$	62.1813	+	45.1773i	2.38279	+	1.73120i
$682$	−0.778914	+	1.25402i	−0.0298261	+	0.0480189i
$683$	20.8468	+	15.1461i	0.797680	+	0.579548i	0.910233	−	0.414097i	$-0.135903\pi$
$683$	20.8468	+	15.1461i	0.797680	+	0.579548i	−0.112553	+	0.993646i	$0.535903\pi$
$684$	−2.91144	−	19.9367i	−0.111322	−	0.762298i
$685$	8.97503	−	13.4959i	0.342918	−	0.515650i
$686$	−20.9890	−	5.17317i	−0.801363	−	0.197513i
$687$	80.1042	+	26.0274i	3.05617	+	0.993009i
$688$	−24.7864	−	35.9074i	−0.944974	−	1.36896i
$689$	−0.637371	−	1.96163i	−0.0242819	−	0.0747320i
$690$	−2.96456	+	1.35287i	−0.112859	+	0.0515028i
$691$	28.3342	+	9.20634i	1.07788	+	0.350225i	0.793553	−	0.608501i	$-0.208229\pi$
$691$	28.3342	+	9.20634i	1.07788	+	0.350225i	0.284330	+	0.958726i	$0.408229\pi$
$692$	5.85409	−	34.2782i	0.222539	−	1.30306i
$693$	−5.91952			−0.224864
$694$	9.40431	+	23.0973i	0.356983	+	0.876761i
$695$	0.0406647	+	0.980355i	0.00154250	+	0.0371870i
$696$	−34.3031	+	20.1760i	−1.30026	+	0.764769i
$697$	−19.2885	−	26.5483i	−0.730602	−	1.00559i
$698$	48.3279	+	11.9114i	1.82924	+	0.450854i
$699$			77.1621i			2.91854i
$700$	−25.5080	+	15.3625i	−0.964111	+	0.580647i
$701$			5.84579i			0.220792i	0.993888	+	0.110396i	$0.0352120\pi$
$701$			5.84579i			0.220792i	−0.993888	+	0.110396i	$0.964788\pi$
$702$	−19.9004	+	80.7415i	−0.751094	+	3.04739i
$703$	3.33230	+	4.58651i	0.125680	+	0.172984i
$704$	0.933675	+	2.00911i	0.0351892	+	0.0757211i
$705$	11.2339	−	16.8925i	0.423092	−	0.636208i
$706$	37.2192	−	15.1542i	1.40076	−	0.570336i
$707$	−58.0275			−2.18235
$708$	−33.6718	−	5.75052i	−1.26546	−	0.216118i
$709$	−18.5674	−	6.03290i	−0.697312	−	0.226570i	−0.0611529	−	0.998128i	$-0.519478\pi$
$709$	−18.5674	−	6.03290i	−0.697312	−	0.226570i	−0.636159	+	0.771558i	$0.719478\pi$
$710$	−30.3398	+	3.47259i	−1.13863	+	0.130324i
$711$	−12.3238	−	37.9288i	−0.462179	−	1.42244i
$712$	8.32481	+	3.62619i	0.311986	+	0.135897i
$713$	1.15790	+	0.376224i	0.0433637	+	0.0140897i
$714$	−16.4758	+	66.8468i	−0.616591	+	2.50168i
$715$	−2.63046	−	0.735664i	−0.0983737	−	0.0275123i
$716$	−6.14963	−	42.1108i	−0.229822	−	1.57375i
$717$	−39.7814	−	28.9028i	−1.48566	−	1.07940i
$718$	15.3294	+	9.52159i	0.572088	+	0.355342i
$719$	37.3747	+	27.1543i	1.39384	+	1.01268i	0.995432	+	0.0954761i	$0.0304373\pi$
$719$	37.3747	+	27.1543i	1.39384	+	1.01268i	0.398408	+	0.917208i	$0.369563\pi$
$720$	1.11172	+	64.1968i	0.0414315	+	2.39247i
$721$	17.0268	−	12.3707i	0.634112	−	0.460709i
$722$	−24.0216	+	1.74474i	−0.893990	+	0.0649324i
$723$	15.3836	+	47.3457i	0.572121	+	1.76081i
$724$	14.7304	−	7.28291i	0.547450	−	0.270667i
$725$	−1.82620	−	21.9753i	−0.0678232	−	0.816143i
$726$	41.8658	+	26.0043i	1.55379	+	0.965108i
$727$	6.84600	−	2.22440i	0.253904	−	0.0824984i	−0.179300	−	0.983795i	$-0.557383\pi$
$727$	6.84600	−	2.22440i	0.253904	−	0.0824984i	0.433204	+	0.901296i	$0.357383\pi$
$728$	32.0212	−	18.8338i	1.18678	−	0.698027i
$729$	−18.7064	+	13.5910i	−0.692831	+	0.503371i
$730$	27.8380	+	5.64879i	1.03033	+	0.209071i
$731$	32.8556	−	45.2219i	1.21521	−	1.67259i
$732$	−11.8130	+	5.84053i	−0.436622	+	0.215872i
$733$	22.7156	+	16.5038i	0.839018	+	0.609582i	0.922096	−	0.386961i	$-0.126475\pi$
$733$	22.7156	+	16.5038i	0.839018	+	0.609582i	−0.0830781	+	0.996543i	$0.526475\pi$
$734$	19.4462	+	23.0488i	0.717772	+	0.850746i
$735$	4.63629	+	12.4831i	0.171012	+	0.460446i
$736$	1.42454	−	1.14418i	0.0525092	−	0.0421749i
$737$	−0.407244	−	0.132322i	−0.0150010	−	0.00487413i
$738$	−49.6874	+	41.9211i	−1.82902	+	1.54314i
$739$	37.8363	−	12.2937i	1.39183	−	0.452233i	0.485290	−	0.874353i	$-0.338714\pi$
$739$	37.8363	−	12.2937i	1.39183	−	0.452233i	0.906540	+	0.422121i	$0.138714\pi$
$740$	−8.67134	−	15.8492i	−0.318765	−	0.582630i
$741$	−18.7822	−	6.10270i	−0.689980	−	0.224188i
$742$	−1.82377	+	0.742566i	−0.0669526	+	0.0272605i
$743$			20.8383i			0.764482i	0.924063	+	0.382241i	$0.124848\pi$
$743$			20.8383i			0.764482i	−0.924063	+	0.382241i	$0.875152\pi$
$744$	22.5548	−	25.4601i	0.826898	−	0.933411i
$745$	−3.56495	−	0.997013i	−0.130610	−	0.0365277i
$746$	−16.6052	+	1.20607i	−0.607959	+	0.0441574i
$747$	77.1260	−	56.0353i	2.82189	−	2.05022i
$748$	−2.03104	+	1.98260i	−0.0742623	+	0.0724909i
$749$		−	33.5159i		−	1.22464i
$750$	−45.8216	−	21.0950i	−1.67317	−	0.770282i
$751$	−48.8753			−1.78348			−0.891742	−	0.452545i	$-0.850516\pi$
$751$	−48.8753			−1.78348			−0.891742	+	0.452545i	$0.850516\pi$
$752$	−3.77514	+	10.7302i	−0.137665	+	0.391289i
$753$	−4.86111	−	6.69075i	−0.177149	−	0.243824i
$754$	1.99291	+	27.4384i	0.0725774	+	0.999247i
$755$	8.46943	−	30.2835i	0.308234	−	1.10213i
$756$	78.2579	+	13.3650i	2.84621	+	0.486081i
$757$	−18.6251			−0.676942			−0.338471	−	0.940977i	$-0.609910\pi$
$757$	−18.6251			−0.676942			−0.338471	+	0.940977i	$0.609910\pi$
$758$	−23.9047	+	9.73305i	−0.868257	+	0.353520i
$759$	−0.0881851	+	0.271406i	−0.00320092	+	0.00985141i
$760$	−8.86216	−	0.489592i	−0.321464	−	0.0177594i
$761$	12.5520	+	38.6311i	0.455009	+	1.40037i	0.871124	+	0.491063i	$0.163391\pi$
$761$	12.5520	+	38.6311i	0.455009	+	1.40037i	−0.416115	+	0.909312i	$0.636609\pi$
$762$	−3.94887	−	4.68043i	−0.143052	−	0.169554i
$763$	−8.78414	+	27.0348i	−0.318007	+	0.978726i
$764$	5.07216	−	4.95117i	0.183504	−	0.179127i
$765$	−77.1098	+	28.6390i	−2.78791	+	1.03544i
$766$	−32.8046	−	38.8820i	−1.18528	−	1.40486i
$767$	−13.8798	+	19.1039i	−0.501169	+	0.689800i
$768$	−13.4127	−	49.2523i	−0.483990	−	1.77724i
$769$	14.8380	+	10.7804i	0.535072	+	0.388753i	0.822252	−	0.569124i	$-0.192718\pi$
$769$	14.8380	+	10.7804i	0.535072	+	0.388753i	−0.287179	+	0.957877i	$0.592718\pi$
$770$	−0.518572	+	2.55559i	−0.0186880	+	0.0920970i
$771$	3.73071	+	5.13489i	0.134358	+	0.184928i
$772$	12.4507	−	23.7235i	0.448109	−	0.853827i
$773$	−10.0305	−	30.8706i	−0.360770	−	1.11034i	−0.952588	−	0.304265i	$-0.901589\pi$
$773$	−10.0305	−	30.8706i	−0.360770	−	1.11034i	0.591817	−	0.806072i	$-0.298411\pi$
$774$	−94.0670	−	58.4281i	−3.38117	−	2.10016i
$775$	7.28841	+	17.3805i	0.261807	+	0.624325i
$776$	46.4323	+	4.50147i	1.66682	+	0.161593i
$777$	−36.4990	+	11.8592i	−1.30939	+	0.425448i
$778$	0.288186	+	3.96775i	0.0103320	+	0.142251i
$779$	−5.28223	−	7.27037i	−0.189256	−	0.260488i
$780$	56.8896	+	26.9114i	2.03697	+	0.963583i
$781$	−1.57192	+	2.16357i	−0.0562478	+	0.0774185i
$782$	1.98844	+	1.23508i	0.0711064	+	0.0441665i
$783$	−34.5574	+	47.5641i	−1.23498	+	1.69980i
$784$	−4.24160	−	6.14468i	−0.151486	−	0.219453i
$785$	−5.76068	+	20.5981i	−0.205607	+	0.735177i
$786$	3.51133	+	0.865441i	0.125245	+	0.0308693i
$787$	−11.5801	+	35.6398i	−0.412785	+	1.27042i	0.501432	+	0.865197i	$0.332807\pi$
$787$	−11.5801	+	35.6398i	−0.412785	+	1.27042i	−0.914217	+	0.405224i	$0.867193\pi$
$788$	−10.1609	+	1.48385i	−0.361969	+	0.0528600i
$789$	47.2388	−	15.3488i	1.68174	−	0.546432i
$790$	−17.4543	+	1.99776i	−0.620996	+	0.0710771i
$791$	9.72441	−	29.9287i	0.345760	−	1.06414i
$792$	4.20880	+	3.72852i	0.149553	+	0.132487i
$793$			9.10969i			0.323495i
$794$	4.19824	+	10.3110i	0.148990	+	0.365925i
$795$	−2.77773	−	1.84725i	−0.0985159	−	0.0655152i
$796$	−22.2342	−	11.6691i	−0.788072	−	0.413599i
$797$	44.1511	−	32.0777i	1.56391	−	1.13625i	0.631207	−	0.775614i	$-0.282560\pi$
$797$	44.1511	−	32.0777i	1.56391	−	1.13625i	0.932707	−	0.360636i	$-0.117440\pi$
$798$	−4.51198	+	18.3063i	−0.159722	+	0.648037i
$799$	−14.5727			−0.515544
$800$	27.8126	+	5.14392i	0.983323	+	0.181865i
$801$	23.0456			0.814277
$802$	2.28353	−	9.26490i	0.0806342	−	0.327155i
$803$	2.01248	−	1.46215i	0.0710187	−	0.0515981i
$804$	8.73608	+	4.58491i	0.308098	+	0.161697i
$805$	2.14876	−	0.0891296i	0.0757338	−	0.00314141i
$806$	−8.86678	−	21.7771i	−0.312319	−	0.767066i
$807$			4.21624i			0.148419i
$808$	41.2577	+	36.5497i	1.45144	+	1.28582i
$809$	−2.50898	+	7.72183i	−0.0882109	+	0.271485i	−0.985425	−	0.170111i	$-0.945587\pi$
$809$	−2.50898	+	7.72183i	−0.0882109	+	0.271485i	0.897214	+	0.441596i	$0.145587\pi$
$810$	27.5638	+	60.4009i	0.968494	+	2.12227i
$811$	1.71354	−	0.556763i	0.0601705	−	0.0195506i	−0.278777	−	0.960356i	$-0.589929\pi$
$811$	1.71354	−	0.556763i	0.0601705	−	0.0195506i	0.338948	+	0.940805i	$0.389929\pi$
$812$	25.9888	−	3.79527i	0.912029	−	0.133188i
$813$	−14.2784	+	43.9445i	−0.500766	+	1.54120i
$814$	−1.53616	−	0.378619i	−0.0538424	−	0.0132706i
$815$	−10.2263	−	6.80073i	−0.358213	−	0.238219i
$816$	53.8191	−	37.1507i	1.88405	−	1.30053i
$817$	8.99767	−	12.3842i	0.314789	−	0.433269i
$818$	−33.1466	−	20.5884i	−1.15894	−	0.719858i
$819$	55.4188	−	76.2775i	1.93649	−	2.66535i
$820$	13.7455	+	25.1236i	0.480013	+	0.877355i
$821$	−13.9783	−	19.2395i	−0.487848	−	0.671465i	0.492142	−	0.870515i	$-0.336214\pi$
$821$	−13.9783	−	19.2395i	−0.487848	−	0.671465i	−0.979989	+	0.199051i	$0.936214\pi$
$822$	2.36908	+	32.6175i	0.0826310	+	1.13767i
$823$	−22.5499	+	7.32692i	−0.786042	+	0.255400i	−0.674418	−	0.738350i	$-0.735605\pi$
$823$	−22.5499	+	7.32692i	−0.786042	+	0.255400i	−0.111624	+	0.993751i	$0.535605\pi$
$824$	−19.8980	−	1.92905i	−0.693181	−	0.0672018i
$825$	−4.07389	+	1.70837i	−0.141835	+	0.0594777i
$826$	19.1505	+	11.8950i	0.666331	+	0.413880i
$827$	−2.73313	−	8.41171i	−0.0950402	−	0.292504i	0.892224	−	0.451593i	$-0.149144\pi$
$827$	−2.73313	−	8.41171i	−0.0950402	−	0.292504i	−0.987264	+	0.159089i	$0.949144\pi$
$828$	2.15499	−	4.10611i	0.0748909	−	0.142697i
$829$	4.69015	+	6.45543i	0.162896	+	0.224206i	0.882660	−	0.470012i	$-0.155750\pi$
$829$	4.69015	+	6.45543i	0.162896	+	0.224206i	−0.719765	+	0.694218i	$0.755750\pi$
$830$	−17.4352	−	38.2059i	−0.605183	−	1.32615i
$831$	−33.0413	−	24.0059i	−1.14619	−	0.832755i
$832$	−34.6300	−	6.77825i	−1.20058	−	0.234993i
$833$	5.62245	−	7.73864i	0.194806	−	0.268128i
$834$	−1.27669	−	1.51321i	−0.0442082	−	0.0523982i
$835$	−16.7066	−	21.0972i	−0.578156	−	0.730100i
$836$	−0.556211	+	0.542943i	−0.0192370	+	0.0187781i
$837$	15.5279	−	47.7898i	0.536721	−	1.65186i
$838$	−22.3529	−	26.4940i	−0.772168	−	0.915220i
$839$	−14.2160	−	43.7523i	−0.490790	−	1.51050i	−0.823417	−	0.567437i	$-0.807935\pi$
$839$	−14.2160	−	43.7523i	−0.490790	−	1.51050i	0.332627	−	0.943058i	$-0.392065\pi$
$840$	21.6904	−	56.0311i	0.748390	−	1.93326i
$841$	2.95111	−	9.08258i	0.101762	−	0.313193i
$842$	−35.5301	+	14.4665i	−1.22445	+	0.498548i
$843$	10.0497			0.346130
$844$	−15.0308	−	2.56699i	−0.517383	−	0.0883594i
$845$	11.3172	−	8.96196i	0.389324	−	0.308301i
$846$	2.09133	+	28.7934i	0.0719014	+	0.989939i
$847$	−19.1184	−	26.3142i	−0.656917	−	0.904168i
$848$	1.76442	+	0.620768i	0.0605906	+	0.0213173i
$849$	40.2003			1.37967
$850$	5.60897	+	35.7989i	0.192386	+	1.22789i
$851$			1.30482i			0.0447287i
$852$	44.0935	−	43.0417i	1.51062	−	1.47459i
$853$	−37.0549	+	26.9220i	−1.26874	+	0.921790i	−0.999151	−	0.0411867i	$-0.986886\pi$
$853$	−37.0549	+	26.9220i	−1.26874	+	0.921790i	−0.269584	+	0.962977i	$0.586886\pi$
$854$	8.67419	−	0.630025i	0.296825	−	0.0215590i
$855$	−21.1169	+	7.84292i	−0.722182	+	0.268222i
$856$	−21.1106	+	23.8299i	−0.721546	+	0.814489i
$857$			46.7189i			1.59589i	0.602733	+	0.797943i	$0.294078\pi$
$857$			46.7189i			1.59589i	−0.602733	+	0.797943i	$0.705922\pi$
$858$	5.10444	−	2.07833i	0.174263	−	0.0709530i
$859$	−35.3436	−	11.4838i	−1.20591	−	0.391824i	−0.363978	−	0.931408i	$-0.618582\pi$
$859$	−35.3436	−	11.4838i	−1.20591	−	0.391824i	−0.841932	+	0.539584i	$0.818582\pi$
$860$	−33.4653	+	35.4923i	−1.14116	+	1.21028i
$861$	57.8569	−	18.7988i	1.97176	−	0.640662i
$862$	9.28163	−	7.83088i	0.316133	−	0.266721i
$863$	47.5068	+	15.4359i	1.61715	+	0.525444i	0.971267	−	0.237992i	$-0.0764892\pi$
$863$	47.5068	+	15.4359i	1.61715	+	0.525444i	0.645883	+	0.763436i	$0.276489\pi$
$864$	−47.2234	−	58.7948i	−1.60657	−	2.00024i
$865$	−38.8457	+	1.61130i	−1.32079	+	0.0547859i
$866$	26.6929	+	31.6380i	0.907062	+	1.07510i
$867$	23.9019	+	17.3657i	0.811750	+	0.589771i
$868$	−20.1228	+	9.94899i	−0.683012	+	0.337691i
$869$	−0.904318	+	1.24469i	−0.0306769	+	0.0422231i
$870$	30.0766	+	32.7890i	1.01969	+	1.11165i
$871$	5.51771	−	4.00885i	0.186960	−	0.135835i
$872$	23.2739	−	13.6890i	0.788155	−	0.463567i
$873$	112.602	−	36.5866i	3.81100	−	1.23827i
$874$	0.544543	+	0.338234i	0.0184194	+	0.0114409i
$875$	22.7582	+	24.2980i	0.769366	+	0.821423i
$876$	−51.3787	+	25.4024i	−1.73593	+	0.858266i
$877$	8.12444	+	25.0044i	0.274343	+	0.844340i	0.989393	+	0.145267i	$0.0464040\pi$
$877$	8.12444	+	25.0044i	0.274343	+	0.844340i	−0.715050	+	0.699073i	$0.753596\pi$
$878$	−18.2012	+	1.32199i	−0.614259	+	0.0446149i
$879$	23.7381	−	17.2467i	0.800666	−	0.581718i
$880$	1.97839	−	1.49040i	0.0666916	−	0.0502413i
$881$	−13.3185	−	9.67642i	−0.448710	−	0.326007i	0.340376	−	0.940289i	$-0.389446\pi$
$881$	−13.3185	−	9.67642i	−0.448710	−	0.326007i	−0.789086	+	0.614282i	$0.789446\pi$
$882$	−16.0973	−	9.99857i	−0.542024	−	0.336669i
$883$	5.10972	+	3.71243i	0.171956	+	0.124933i	0.670434	−	0.741969i	$-0.266108\pi$
$883$	5.10972	+	3.71243i	0.171956	+	0.124933i	−0.498479	+	0.866902i	$0.666108\pi$
$884$	−6.53252	−	44.7327i	−0.219712	−	1.50452i
$885$	1.58280	+	38.1585i	0.0532051	+	1.28268i
$886$	−0.374877	+	1.52098i	−0.0125942	+	0.0510982i
$887$	−26.2498	−	8.52907i	−0.881381	−	0.286378i	−0.166850	−	0.985982i	$-0.553360\pi$
$887$	−26.2498	−	8.52907i	−0.881381	−	0.286378i	−0.714531	+	0.699604i	$0.753360\pi$
$888$	33.4207	+	14.5576i	1.12152	+	0.488522i
$889$	1.24888	+	3.84365i	0.0418860	+	0.128912i
$890$	2.01888	−	9.94931i	0.0676731	−	0.333502i
$891$	5.52971	+	1.79671i	0.185252	+	0.0601922i
$892$	−38.0352	−	6.49571i	−1.27351	−	0.217493i
$893$	−3.99079			−0.133547
$894$	6.91783	−	2.81667i	0.231367	−	0.0942035i
$895$	−44.6036	+	16.5660i	−1.49094	+	0.553741i
$896$	−4.05920	+	33.4432i	−0.135608	+	1.11726i
$897$	−2.67168	−	3.67725i	−0.0892047	−	0.122780i
$898$	2.03492	−	8.25621i	0.0679060	−	0.275513i
$899$		−	16.6237i		−	0.554431i
$900$	69.9285	−	16.2200i	2.33095	−	0.540668i
$901$			2.39626i			0.0798312i
$902$	2.43506	+	0.600172i	0.0810787	+	0.0199836i
$903$	60.9087	+	83.8337i	2.02692	+	2.78981i
$904$	−25.7652	+	15.1543i	−0.856939	+	0.504024i
$905$	−11.4055	−	14.4030i	−0.379132	−	0.478771i
$906$	23.9270	+	58.7656i	0.794923	+	1.95236i
$907$	15.5893			0.517636			0.258818	−	0.965926i	$-0.416667\pi$
$907$	15.5893			0.517636			0.258818	+	0.965926i	$0.416667\pi$
$908$	−8.11126	+	47.4949i	−0.269182	+	1.57617i
$909$	133.044	+	43.2286i	4.41279	+	1.43380i
$910$	−28.0758	−	30.6077i	−0.930704	−	1.01464i
$911$	8.96903	+	27.6038i	0.297157	+	0.914556i	0.982488	+	0.186324i	$0.0596575\pi$
$911$	8.96903	+	27.6038i	0.297157	+	0.914556i	−0.685331	+	0.728232i	$0.740342\pi$
$912$	14.7386	−	10.1739i	0.488044	−	0.336891i
$913$	−3.49776	−	1.13649i	−0.115759	−	0.0376123i
$914$	50.6263	+	12.4779i	1.67457	+	0.412733i
$915$	9.14666	+	11.5505i	0.302379	+	0.381846i
$916$	7.62976	+	52.2462i	0.252094	+	1.72626i
$917$	−1.93089	−	1.40287i	−0.0637636	−	0.0463270i
$918$	50.9755	−	82.0685i	1.68244	−	2.70867i
$919$	34.5740	+	25.1195i	1.14049	+	0.828616i	0.987188	−	0.159563i	$-0.0510086\pi$
$919$	34.5740	+	25.1195i	1.14049	+	0.828616i	0.153304	+	0.988179i	$0.451009\pi$
$920$	−1.58392	−	1.29007i	−0.0522201	−	0.0425322i
$921$	−62.9005	+	45.6999i	−2.07264	+	1.50586i
$922$	−3.49448	−	48.1121i	−0.115085	−	1.58449i
$923$	−13.1628	−	40.5108i	−0.433258	−	1.33343i
$924$	−2.33199	−	4.71668i	−0.0767170	−	0.155167i
$925$	−15.3017	+	13.1850i	−0.503118	+	0.433521i
$926$	−31.3641	+	50.4949i	−1.03069	+	1.65937i
$927$	−48.2544	+	15.6788i	−1.58488	+	0.514959i
$928$	−20.8687	−	13.6711i	−0.685047	−	0.448776i
$929$	−7.83492	+	5.69240i	−0.257055	+	0.186762i	−0.708848	−	0.705361i	$-0.750785\pi$
$929$	−7.83492	+	5.69240i	−0.257055	+	0.186762i	0.451792	+	0.892123i	$0.350785\pi$
$930$	−33.1079	−	18.7091i	−1.08565	−	0.613496i
$931$	1.53974	−	2.11926i	0.0504628	−	0.0694561i
$932$	−43.3615	+	21.4385i	−1.42035	+	0.702242i
$933$	−64.7208	−	47.0224i	−2.11886	−	1.53945i
$934$	12.4259	−	10.4837i	0.406588	−	0.343037i
$935$	2.64234	+	1.75721i	0.0864138	+	0.0574670i
$936$	−87.4478	+	19.3269i	−2.85832	+	0.631720i
$937$	45.0827	+	14.6482i	1.47279	+	0.478537i	0.931949	−	0.362590i	$-0.118107\pi$
$937$	45.0827	+	14.6482i	1.47279	+	0.478537i	0.540837	+	0.841127i	$0.318107\pi$
$938$	−4.19881	−	4.97668i	−0.137096	−	0.162494i
$939$	−33.1045	+	10.7563i	−1.08032	+	0.351018i
$940$	12.6140	+	1.61954i	0.411423	+	0.0528236i
$941$	14.2417	+	4.62742i	0.464267	+	0.150850i	0.531804	−	0.846867i	$-0.321514\pi$
$941$	14.2417	+	4.62742i	0.464267	+	0.150850i	−0.0675373	+	0.997717i	$0.521514\pi$
$942$	−16.2745	−	39.9708i	−0.530253	−	1.30232i
$943$		−	2.06835i		−	0.0673549i
$944$	−6.12377	−	20.5197i	−0.199312	−	0.667859i
$945$	−3.67864	−	88.6855i	−0.119666	−	2.88494i
$946$	0.309467	+	4.26075i	0.0100617	+	0.138529i
$947$	−21.2273	+	15.4226i	−0.689796	+	0.501166i	−0.876593	−	0.481233i	$-0.840189\pi$
$947$	−21.2273	+	15.4226i	−0.689796	+	0.501166i	0.186797	+	0.982398i	$0.440189\pi$
$948$	25.3668	−	24.7617i	0.823874	−	0.804222i
$949$			39.6210i			1.28615i
$950$	1.53604	+	9.80370i	0.0498358	+	0.318074i
$951$	2.74274			0.0889394
$952$	−42.1424	+	9.31393i	−1.36584	+	0.301866i
$953$	−17.5587	−	24.1675i	−0.568782	−	0.782861i	0.423628	−	0.905836i	$-0.360756\pi$
$953$	−17.5587	−	24.1675i	−0.568782	−	0.782861i	−0.992410	+	0.122975i	$0.960756\pi$
$954$	4.73467	−	0.343889i	0.153291	−	0.0111338i
$955$	−6.59877	−	4.38832i	−0.213531	−	0.142003i
$956$	5.18929	−	30.3856i	0.167834	−	0.982739i
$957$	3.89651			0.125956
$958$	6.34450	+	15.5823i	0.204982	+	0.503441i
$959$	6.66957	−	20.5268i	0.215371	−	0.662845i
$960$	−50.7142	+	26.1762i	−1.63679	+	0.844832i
$961$	−5.18900	−	15.9701i	−0.167387	−	0.515164i
$962$	19.2604	−	16.2499i	0.620980	−	0.523919i
$963$	−24.9682	+	76.8443i	−0.804590	+	2.47627i
$964$	−22.3320	+	21.7993i	−0.719264	+	0.702107i
$965$	−28.8477	−	8.06786i	−0.928640	−	0.259713i
$966$	−3.31668	+	2.79827i	−0.106712	+	0.0900329i
$967$	15.3115	−	21.0745i	0.492385	−	0.677710i	−0.488440	−	0.872597i	$-0.662434\pi$
$967$	15.3115	−	21.0745i	0.492385	−	0.677710i	0.980826	+	0.194887i	$0.0624340\pi$
$968$	−2.98127	+	30.7516i	−0.0958217	+	0.988394i
$969$	18.5619	+	13.4860i	0.596294	+	0.433233i
$970$	−5.93090	−	51.8180i	−0.190430	−	1.66377i
$971$	−1.38452	−	1.90563i	−0.0444314	−	0.0611546i	0.786223	−	0.617943i	$-0.212034\pi$
$971$	−1.38452	−	1.90563i	−0.0444314	−	0.0611546i	−0.830655	+	0.556788i	$0.812034\pi$
$972$	−47.7973	−	25.0852i	−1.53310	−	0.804608i
$973$	0.403769	+	1.24267i	0.0129442	+	0.0398383i
$974$	−16.3209	+	26.2760i	−0.522956	+	0.841938i
$975$	16.1264	−	68.4890i	0.516458	−	2.19340i
$976$	−6.56421	−	5.01565i	−0.210115	−	0.160547i
$977$	−8.92406	+	2.89960i	−0.285506	+	0.0927665i	−0.448269	−	0.893899i	$-0.647959\pi$
$977$	−8.92406	+	2.89960i	−0.285506	+	0.0927665i	0.162763	+	0.986665i	$0.447959\pi$
$978$	24.7155	−	1.79514i	0.790315	−	0.0574023i
$979$	−0.522574	−	0.719261i	−0.0167015	−	0.0229877i
$980$	−5.72679	+	6.07366i	−0.182936	+	0.194016i
$981$	40.2801	−	55.4407i	1.28604	−	1.77009i
$982$	−2.41626	+	3.89008i	−0.0771059	+	0.124137i
$983$	32.0991	−	44.1807i	1.02380	−	1.40914i	0.114301	−	0.993446i	$-0.463537\pi$
$983$	32.0991	−	44.1807i	1.02380	−	1.40914i	0.909503	−	0.415698i	$-0.136463\pi$
$984$	−52.9772	−	23.0762i	−1.68885	−	0.735643i
$985$	3.99723	+	10.7625i	0.127362	+	0.342920i
$986$	7.64866	−	31.0327i	0.243583	−	0.988283i
$987$	8.34816	−	25.6930i	0.265725	−	0.817817i
$988$	−1.78896	−	12.2503i	−0.0569145	−	0.389733i
$989$	3.35076	−	1.08873i	0.106548	−	0.0346196i
$990$	3.09280	−	5.47306i	0.0982955	−	0.173945i
$991$	19.1415	−	58.9116i	0.608051	−	1.87139i	0.133778	−	0.991011i	$-0.457289\pi$
$991$	19.1415	−	58.9116i	0.608051	−	1.87139i	0.474273	−	0.880378i	$-0.342711\pi$
$992$	20.5739	+	5.60096i	0.653223	+	0.177831i
$993$		−	27.0472i		−	0.858316i
$994$	−37.6638	+	15.3352i	−1.19462	+	0.486404i
$995$	−7.56139	+	27.0368i	−0.239712	+	0.857123i
$996$	75.0328	+	39.3790i	2.37751	+	1.24777i
$997$	−24.8911	+	18.0845i	−0.788310	+	0.572741i	−0.907462	−	0.420135i	$-0.861983\pi$
$997$	−24.8911	+	18.0845i	−0.788310	+	0.572741i	0.119151	+	0.992876i	$0.461983\pi$
$998$	6.46498	+	1.59343i	0.204645	+	0.0504391i
$999$	53.8537			1.70386

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	200.2.o.a.69.13	yes	112
4.3	odd	2		800.2.be.a.369.28		112
5.2	odd	4		1000.2.t.b.901.6		224
5.3	odd	4		1000.2.t.b.901.51		224
5.4	even	2		1000.2.o.a.349.16		112
8.3	odd	2		800.2.be.a.369.1		112
8.5	even	2	inner	200.2.o.a.69.7	yes	112
25.3	odd	20		1000.2.t.b.101.17		224
25.4	even	10	inner	200.2.o.a.29.7	✓	112
25.21	even	5		1000.2.o.a.149.22		112
25.22	odd	20		1000.2.t.b.101.40		224
40.13	odd	4		1000.2.t.b.901.17		224
40.29	even	2		1000.2.o.a.349.22		112
40.37	odd	4		1000.2.t.b.901.40		224
100.79	odd	10		800.2.be.a.529.1		112
200.21	even	10		1000.2.o.a.149.16		112
200.29	even	10	inner	200.2.o.a.29.13	yes	112
200.53	odd	20		1000.2.t.b.101.51		224
200.179	odd	10		800.2.be.a.529.28		112
200.197	odd	20		1000.2.t.b.101.6		224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
200.2.o.a.29.7	✓	112	25.4	even	10	inner
200.2.o.a.29.13	yes	112	200.29	even	10	inner
200.2.o.a.69.7	yes	112	8.5	even	2	inner
200.2.o.a.69.13	yes	112	1.1	even	1	trivial
800.2.be.a.369.1		112	8.3	odd	2
800.2.be.a.369.28		112	4.3	odd	2
800.2.be.a.529.1		112	100.79	odd	10
800.2.be.a.529.28		112	200.179	odd	10
1000.2.o.a.149.16		112	200.21	even	10
1000.2.o.a.149.22		112	25.21	even	5
1000.2.o.a.349.16		112	5.4	even	2
1000.2.o.a.349.22		112	40.29	even	2
1000.2.t.b.101.6		224	200.197	odd	20
1000.2.t.b.101.17		224	25.3	odd	20
1000.2.t.b.101.40		224	25.22	odd	20
1000.2.t.b.101.51		224	200.53	odd	20
1000.2.t.b.901.6		224	5.2	odd	4
1000.2.t.b.901.17		224	40.13	odd	4
1000.2.t.b.901.40		224	40.37	odd	4
1000.2.t.b.901.51		224	5.3	odd	4

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 200 = 2^{3} \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	200.o (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.338435 + 1.37312i) q^{2} +(-2.58107 + 1.87526i) q^{3} +(-1.77092 - 0.929423i) q^{4} +(-0.602254 + 2.15344i) q^{5} +(-1.70143 - 4.17877i) q^{6} +2.97769i q^{7} +(1.87555 - 2.11714i) q^{8} +(2.21828 - 6.82716i) q^{9} +O(q^{10})\)	\(q+(-0.338435 + 1.37312i) q^{2} +(-2.58107 + 1.87526i) q^{3} +(-1.77092 - 0.929423i) q^{4} +(-0.602254 + 2.15344i) q^{5} +(-1.70143 - 4.17877i) q^{6} +2.97769i q^{7} +(1.87555 - 2.11714i) q^{8} +(2.21828 - 6.82716i) q^{9} +(-2.75311 - 1.55576i) q^{10} +(-0.263378 + 0.0855768i) q^{11} +(6.31378 - 0.922031i) q^{12} +(1.36304 - 4.19500i) q^{13} +(-4.08873 - 1.00775i) q^{14} +(-2.48379 - 6.68755i) q^{15} +(2.27234 + 3.29188i) q^{16} +(-3.01210 + 4.14580i) q^{17} +(8.62377 + 5.35651i) q^{18} +(-0.824879 + 1.13535i) q^{19} +(3.06800 - 3.25382i) q^{20} +(-5.58392 - 7.68561i) q^{21} +(-0.0283710 - 0.390613i) q^{22} +(-0.307187 + 0.0998113i) q^{23} +(-0.870742 + 8.98164i) q^{24} +(-4.27458 - 2.59383i) q^{25} +(5.29895 + 3.29135i) q^{26} +(4.11950 + 12.6785i) q^{27} +(2.76753 - 5.27326i) q^{28} +(2.59226 + 3.56794i) q^{29} +(10.0234 - 1.14724i) q^{30} +(-3.04947 - 2.21557i) q^{31} +(-5.28919 + 2.00612i) q^{32} +(0.519319 - 0.714781i) q^{33} +(-4.67329 - 5.53907i) q^{34} +(-6.41226 - 1.79332i) q^{35} +(-10.2737 + 10.0287i) q^{36} +(1.24835 - 3.84202i) q^{37} +(-1.27980 - 1.51690i) q^{38} +(4.34861 + 13.3836i) q^{39} +(3.42958 + 5.31394i) q^{40} +(-1.97884 + 6.09023i) q^{41} +(12.4431 - 5.06633i) q^{42} -10.9079 q^{43} +(0.545960 + 0.0932399i) q^{44} +(13.3659 + 8.88860i) q^{45} +(-0.0330901 - 0.455585i) q^{46} +(1.67150 + 2.30062i) q^{47} +(-12.0382 - 4.23533i) q^{48} -1.86662 q^{49} +(5.00831 - 4.99168i) q^{50} -16.3491i q^{51} +(-6.31278 + 6.16219i) q^{52} +(0.378304 - 0.274854i) q^{53} +(-18.8033 + 1.36572i) q^{54} +(-0.0256637 - 0.618708i) q^{55} +(6.30419 + 5.58481i) q^{56} -4.47727i q^{57} +(-5.77652 + 2.35197i) q^{58} +(-5.09147 - 1.65432i) q^{59} +(-1.81696 + 14.1516i) q^{60} +(-1.96419 + 0.638204i) q^{61} +(4.07430 - 3.43747i) q^{62} +(20.3291 + 6.60534i) q^{63} +(-0.964603 - 7.94163i) q^{64} +(8.21278 + 5.46168i) q^{65} +(0.805726 + 0.954995i) q^{66} +(1.25093 + 0.908853i) q^{67} +(9.18741 - 4.54239i) q^{68} +(0.605700 - 0.833675i) q^{69} +(4.63258 - 8.19789i) q^{70} +(7.81261 - 5.67620i) q^{71} +(-10.2936 - 17.5011i) q^{72} +(-8.54291 + 2.77576i) q^{73} +(4.85308 + 3.01441i) q^{74} +(15.8971 - 1.32108i) q^{75} +(2.51602 - 1.24395i) q^{76} +(-0.254821 - 0.784258i) q^{77} +(-19.8491 + 1.44168i) q^{78} +(4.49455 - 3.26548i) q^{79} +(-8.45738 + 2.91081i) q^{80} +(-16.9856 - 12.3407i) q^{81} +(-7.69292 - 4.77833i) q^{82} +(10.7440 + 7.80599i) q^{83} +(2.74552 + 18.8005i) q^{84} +(-7.11368 - 8.98320i) q^{85} +(3.69160 - 14.9778i) q^{86} +(-13.3816 - 4.34795i) q^{87} +(-0.312802 + 0.718114i) q^{88} +(0.992059 + 3.05324i) q^{89} +(-16.7286 + 15.3448i) q^{90} +(12.4914 + 4.05871i) q^{91} +(0.636773 + 0.108749i) q^{92} +12.0257 q^{93} +(-3.72473 + 1.51656i) q^{94} +(-1.94811 - 2.46009i) q^{95} +(9.88976 - 15.0965i) q^{96} +(9.69449 + 13.3433i) q^{97} +(0.631729 - 2.56310i) q^{98} +1.98796i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 5 q^{2} - 3 q^{4} + q^{6} + 10 q^{8} - 30 q^{9}+O(q^{10}) \) 112 * q - 5 * q^2 - 3 * q^4 + q^6 + 10 * q^8 - 30 * q^9	\( 112 q - 5 q^{2} - 3 q^{4} + q^{6} + 10 q^{8} - 30 q^{9} - 9 q^{10} - 5 q^{12} - 3 q^{14} - 2 q^{15} - 15 q^{16} - 10 q^{17} - 17 q^{20} - 30 q^{22} - 10 q^{23} - 16 q^{24} - 6 q^{25} - 14 q^{26} + 15 q^{28} - 33 q^{30} - 18 q^{31} - 10 q^{33} + 9 q^{34} + 41 q^{36} + 45 q^{38} - 10 q^{39} - 14 q^{40} - 10 q^{41} + 75 q^{42} - 32 q^{44} + 13 q^{46} - 10 q^{47} - 70 q^{48} - 80 q^{49} - 19 q^{50} - 100 q^{52} + 43 q^{54} - 34 q^{55} + 36 q^{56} - 30 q^{58} - 28 q^{60} + 20 q^{62} + 60 q^{63} - 36 q^{64} + 40 q^{65} + 40 q^{66} + 42 q^{70} + 22 q^{71} - 65 q^{72} - 10 q^{73} + 4 q^{74} - 36 q^{76} - 55 q^{78} + 14 q^{79} - 76 q^{80} - 6 q^{81} + 78 q^{84} - 59 q^{86} - 10 q^{87} + 110 q^{88} + 24 q^{89} + 49 q^{90} + 90 q^{92} + 45 q^{94} - 86 q^{95} + 46 q^{96} - 50 q^{97} + 90 q^{98}+O(q^{100}) \) 112 * q - 5 * q^2 - 3 * q^4 + q^6 + 10 * q^8 - 30 * q^9 - 9 * q^10 - 5 * q^12 - 3 * q^14 - 2 * q^15 - 15 * q^16 - 10 * q^17 - 17 * q^20 - 30 * q^22 - 10 * q^23 - 16 * q^24 - 6 * q^25 - 14 * q^26 + 15 * q^28 - 33 * q^30 - 18 * q^31 - 10 * q^33 + 9 * q^34 + 41 * q^36 + 45 * q^38 - 10 * q^39 - 14 * q^40 - 10 * q^41 + 75 * q^42 - 32 * q^44 + 13 * q^46 - 10 * q^47 - 70 * q^48 - 80 * q^49 - 19 * q^50 - 100 * q^52 + 43 * q^54 - 34 * q^55 + 36 * q^56 - 30 * q^58 - 28 * q^60 + 20 * q^62 + 60 * q^63 - 36 * q^64 + 40 * q^65 + 40 * q^66 + 42 * q^70 + 22 * q^71 - 65 * q^72 - 10 * q^73 + 4 * q^74 - 36 * q^76 - 55 * q^78 + 14 * q^79 - 76 * q^80 - 6 * q^81 + 78 * q^84 - 59 * q^86 - 10 * q^87 + 110 * q^88 + 24 * q^89 + 49 * q^90 + 90 * q^92 + 45 * q^94 - 86 * q^95 + 46 * q^96 - 50 * q^97 + 90 * q^98

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