LMFDB - Embedded newform 504.2.w.a.205.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(205,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([0, 3, 4, 2]))

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

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

chi := DirichletCharacter("504.205");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			205.18
Character	$\chi$	$=$	504.205
Dual form			504.2.w.a.445.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.16839 + 0.796778i) q^{2} +(1.04913 - 1.37816i) q^{3} +(0.730290 - 1.86190i) q^{4} +2.16527i q^{5} +(-0.127710 + 2.44616i) q^{6} +(-1.74348 + 1.99004i) q^{7} +(0.630255 + 2.75731i) q^{8} +(-0.798651 - 2.89174i) q^{9} +O(q^{10})$	\(q+(-1.16839 + 0.796778i) q^{2} +(1.04913 - 1.37816i) q^{3} +(0.730290 - 1.86190i) q^{4} +2.16527i q^{5} +(-0.127710 + 2.44616i) q^{6} +(-1.74348 + 1.99004i) q^{7} +(0.630255 + 2.75731i) q^{8} +(-0.798651 - 2.89174i) q^{9} +(-1.72524 - 2.52989i) q^{10} +4.23475i q^{11} +(-1.79983 - 2.95983i) q^{12} +(-4.99216 + 2.88223i) q^{13} +(0.451453 - 3.71432i) q^{14} +(2.98409 + 2.27165i) q^{15} +(-2.93335 - 2.71946i) q^{16} +(-0.567268 - 0.982536i) q^{17} +(3.23721 + 2.74234i) q^{18} +(-4.17632 - 2.41120i) q^{19} +(4.03152 + 1.58128i) q^{20} +(0.913458 + 4.49061i) q^{21} +(-3.37416 - 4.94786i) q^{22} -2.06567 q^{23} +(4.46124 + 2.02419i) q^{24} +0.311606 q^{25} +(3.53632 - 7.34522i) q^{26} +(-4.82317 - 1.93314i) q^{27} +(2.43201 + 4.69950i) q^{28} +(4.02497 + 2.32382i) q^{29} +(-5.29659 - 0.276527i) q^{30} +(-2.64072 + 4.57387i) q^{31} +(5.59411 + 0.840168i) q^{32} +(5.83617 + 4.44281i) q^{33} +(1.44566 + 0.696004i) q^{34} +(-4.30898 - 3.77511i) q^{35} +(-5.96738 - 0.624799i) q^{36} +(1.02698 + 0.592927i) q^{37} +(6.80078 - 0.510367i) q^{38} +(-1.26526 + 9.90383i) q^{39} +(-5.97033 + 1.36467i) q^{40} +(6.00635 + 10.4033i) q^{41} +(-4.64530 - 4.51898i) q^{42} +(3.94401 + 2.27708i) q^{43} +(7.88469 + 3.09260i) q^{44} +(6.26140 - 1.72930i) q^{45} +(2.41352 - 1.64588i) q^{46} +(-2.46184 - 4.26402i) q^{47} +(-6.82532 + 1.18956i) q^{48} +(-0.920540 - 6.93921i) q^{49} +(-0.364079 + 0.248281i) q^{50} +(-1.94923 - 0.249023i) q^{51} +(1.72069 + 11.3998i) q^{52} +(-5.66589 + 3.27121i) q^{53} +(7.17565 - 1.58432i) q^{54} -9.16938 q^{55} +(-6.58601 - 3.55309i) q^{56} +(-7.70452 + 3.22597i) q^{57} +(-6.55432 + 0.491872i) q^{58} +(3.42195 + 1.97567i) q^{59} +(6.40884 - 3.89711i) q^{60} +(10.9256 - 6.30791i) q^{61} +(-0.558950 - 7.44815i) q^{62} +(7.14712 + 3.45235i) q^{63} +(-7.20556 + 3.47562i) q^{64} +(-6.24080 - 10.8094i) q^{65} +(-10.3589 - 0.540822i) q^{66} +(-13.2693 - 7.66101i) q^{67} +(-2.24366 + 0.338660i) q^{68} +(-2.16716 + 2.84683i) q^{69} +(8.04251 + 0.977517i) q^{70} +6.33368 q^{71} +(7.47008 - 4.02466i) q^{72} +(3.79673 + 6.57614i) q^{73} +(-1.67235 + 0.125502i) q^{74} +(0.326915 - 0.429443i) q^{75} +(-7.53934 + 6.01502i) q^{76} +(-8.42734 - 7.38322i) q^{77} +(-6.41283 - 12.5797i) q^{78} +(2.37904 + 4.12062i) q^{79} +(5.88836 - 6.35150i) q^{80} +(-7.72431 + 4.61898i) q^{81} +(-15.3069 - 7.36943i) q^{82} +(-1.60640 - 0.927454i) q^{83} +(9.02816 + 1.57868i) q^{84} +(2.12746 - 1.22829i) q^{85} +(-6.42249 + 0.481978i) q^{86} +(7.42532 - 3.10907i) q^{87} +(-11.6765 + 2.66897i) q^{88} +(-2.46321 + 4.26641i) q^{89} +(-5.93791 + 7.00944i) q^{90} +(2.96799 - 14.9597i) q^{91} +(-1.50854 + 3.84608i) q^{92} +(3.53306 + 8.43792i) q^{93} +(6.27387 + 3.02053i) q^{94} +(5.22090 - 9.04286i) q^{95} +(7.02684 - 6.82814i) q^{96} +(0.683789 - 1.18436i) q^{97} +(6.60456 + 7.37427i) q^{98} +(12.2458 - 3.38209i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−1.16839	+	0.796778i	−0.826180	+	0.563407i
$2$	−1.16839	+	0.796778i	−0.826180	+	0.563407i
$3$	1.04913	−	1.37816i	0.605716	−	0.795681i
$3$	1.04913	−	1.37816i	0.605716	−	0.795681i
$4$	0.730290	−	1.86190i	0.365145	−	0.930951i
$5$			2.16527i			0.968338i	0.874974	+	0.484169i	$0.160878\pi$
$5$			2.16527i			0.968338i	−0.874974	+	0.484169i	$0.839122\pi$
$6$	−0.127710	+	2.44616i	−0.0521375	+	0.998640i
$7$	−1.74348	+	1.99004i	−0.658974	+	0.752165i
$7$	−1.74348	+	1.99004i	−0.658974	+	0.752165i
$8$	0.630255	+	2.75731i	0.222829	+	0.974858i
$9$	−0.798651	−	2.89174i	−0.266217	−	0.963913i
$10$	−1.72524	−	2.52989i	−0.545568	−	0.800021i
$11$			4.23475i			1.27683i	0.769694	+	0.638413i	$0.220409\pi$
$11$			4.23475i			1.27683i	−0.769694	+	0.638413i	$0.779591\pi$
$12$	−1.79983	−	2.95983i	−0.519566	−	0.854430i
$13$	−4.99216	+	2.88223i	−1.38458	+	0.799386i	−0.992697	−	0.120631i	$-0.961508\pi$
$13$	−4.99216	+	2.88223i	−1.38458	+	0.799386i	−0.391879	+	0.920017i	$0.628175\pi$
$14$	0.451453	−	3.71432i	0.120656	−	0.992694i
$15$	2.98409	+	2.27165i	0.770488	+	0.586538i
$16$	−2.93335	−	2.71946i	−0.733338	−	0.679864i
$17$	−0.567268	−	0.982536i	−0.137583	−	0.238300i	0.788998	−	0.614395i	$-0.210600\pi$
$17$	−0.567268	−	0.982536i	−0.137583	−	0.238300i	−0.926581	+	0.376095i	$0.877267\pi$
$18$	3.23721	+	2.74234i	0.763018	+	0.646377i
$19$	−4.17632	−	2.41120i	−0.958113	−	0.553167i	−0.0625214	−	0.998044i	$-0.519914\pi$
$19$	−4.17632	−	2.41120i	−0.958113	−	0.553167i	−0.895592	+	0.444877i	$0.853247\pi$
$20$	4.03152	+	1.58128i	0.901475	+	0.353584i
$21$	0.913458	+	4.49061i	0.199333	+	0.979932i
$22$	−3.37416	−	4.94786i	−0.719373	−	1.05489i
$23$	−2.06567			−0.430722			−0.215361	−	0.976534i	$-0.569093\pi$
$23$	−2.06567			−0.430722			−0.215361	+	0.976534i	$0.569093\pi$
$24$	4.46124	+	2.02419i	0.910647	+	0.413186i
$25$	0.311606			0.0623212
$26$	3.53632	−	7.34522i	0.693529	−	1.44052i
$27$	−4.82317	−	1.93314i	−0.928219	−	0.372033i
$28$	2.43201	+	4.69950i	0.459608	+	0.888122i
$29$	4.02497	+	2.32382i	0.747419	+	0.431523i	0.824761	−	0.565482i	$-0.191310\pi$
$29$	4.02497	+	2.32382i	0.747419	+	0.431523i	−0.0773416	+	0.997005i	$0.524643\pi$
$30$	−5.29659	−	0.276527i	−0.967021	−	0.0504867i
$31$	−2.64072	+	4.57387i	−0.474288	+	0.821491i	−0.999567	−	0.0294396i	$-0.990628\pi$
$31$	−2.64072	+	4.57387i	−0.474288	+	0.821491i	0.525279	+	0.850930i	$0.323961\pi$
$32$	5.59411	+	0.840168i	0.988909	+	0.148522i
$33$	5.83617	+	4.44281i	1.01595	+	0.773394i
$34$	1.44566	+	0.696004i	0.247928	+	0.119364i
$35$	−4.30898	−	3.77511i	−0.728351	−	0.638110i
$36$	−5.96738	−	0.624799i	−0.994563	−	0.104133i
$37$	1.02698	+	0.592927i	0.168835	+	0.0974767i	0.582036	−	0.813163i	$-0.302256\pi$
$37$	1.02698	+	0.592927i	0.168835	+	0.0974767i	−0.413202	+	0.910640i	$0.635590\pi$
$38$	6.80078	−	0.510367i	1.10323	−	0.0827925i
$39$	−1.26526	+	9.90383i	−0.202604	+	1.58588i
$40$	−5.97033	+	1.36467i	−0.943992	+	0.215773i
$41$	6.00635	+	10.4033i	0.938034	+	1.62472i	0.769132	+	0.639090i	$0.220689\pi$
$41$	6.00635	+	10.4033i	0.938034	+	1.62472i	0.168902	+	0.985633i	$0.445978\pi$
$42$	−4.64530	−	4.51898i	−0.716785	−	0.697294i
$43$	3.94401	+	2.27708i	0.601456	+	0.347251i	0.769614	−	0.638509i	$-0.220449\pi$
$43$	3.94401	+	2.27708i	0.601456	+	0.347251i	−0.168158	+	0.985760i	$0.553782\pi$
$44$	7.88469	+	3.09260i	1.18866	+	0.466227i
$45$	6.26140	−	1.72930i	0.933394	−	0.257788i
$46$	2.41352	−	1.64588i	0.355854	−	0.242672i
$47$	−2.46184	−	4.26402i	−0.359096	−	0.621972i	0.628714	−	0.777636i	$-0.283581\pi$
$47$	−2.46184	−	4.26402i	−0.359096	−	0.621972i	−0.987810	+	0.155664i	$0.950248\pi$
$48$	−6.82532	+	1.18956i	−0.985149	+	0.171699i
$49$	−0.920540	−	6.93921i	−0.131506	−	0.991315i
$50$	−0.364079	+	0.248281i	−0.0514885	+	0.0351122i
$51$	−1.94923	−	0.249023i	−0.272947	−	0.0348702i
$52$	1.72069	+	11.3998i	0.238617	+	1.58086i
$53$	−5.66589	+	3.27121i	−0.778270	+	0.449335i	−0.835817	−	0.549008i	$-0.815006\pi$
$53$	−5.66589	+	3.27121i	−0.778270	+	0.449335i	0.0575466	+	0.998343i	$0.481672\pi$
$54$	7.17565	−	1.58432i	0.976482	−	0.215599i
$55$	−9.16938			−1.23640
$56$	−6.58601	−	3.55309i	−0.880093	−	0.474802i
$57$	−7.70452	+	3.22597i	−1.02049	+	0.427291i
$58$	−6.55432	+	0.491872i	−0.860625	+	0.0645860i
$59$	3.42195	+	1.97567i	0.445500	+	0.257210i	0.705928	−	0.708284i	$-0.250530\pi$
$59$	3.42195	+	1.97567i	0.445500	+	0.257210i	−0.260428	+	0.965493i	$0.583864\pi$
$60$	6.40884	−	3.89711i	0.827378	−	0.503115i
$61$	10.9256	−	6.30791i	1.39888	−	0.807646i	0.404607	−	0.914490i	$-0.367408\pi$
$61$	10.9256	−	6.30791i	1.39888	−	0.807646i	0.994276	+	0.106845i	$0.0340748\pi$
$62$	−0.558950	−	7.44815i	−0.0709867	−	0.945916i
$63$	7.14712	+	3.45235i	0.900452	+	0.434955i
$64$	−7.20556	+	3.47562i	−0.900695	+	0.434452i
$65$	−6.24080	−	10.8094i	−0.774076	−	1.34074i
$66$	−10.3589	−	0.540822i	−1.27509	−	0.0665705i
$67$	−13.2693	−	7.66101i	−1.62110	−	0.935942i	−0.986627	−	0.162995i	$-0.947884\pi$
$67$	−13.2693	−	7.66101i	−1.62110	−	0.935942i	−0.634472	−	0.772946i	$-0.718782\pi$
$68$	−2.24366	+	0.338660i	−0.272083	+	0.0410685i
$69$	−2.16716	+	2.84683i	−0.260895	+	0.342718i
$70$	8.04251	+	0.977517i	0.961264	+	0.116836i
$71$	6.33368			0.751670			0.375835	−	0.926687i	$-0.377356\pi$
$71$	6.33368			0.751670			0.375835	+	0.926687i	$0.377356\pi$
$72$	7.47008	−	4.02466i	0.880357	−	0.474311i
$73$	3.79673	+	6.57614i	0.444374	+	0.769678i	0.998008	−	0.0630815i	$-0.0200928\pi$
$73$	3.79673	+	6.57614i	0.444374	+	0.769678i	−0.553634	+	0.832760i	$0.686759\pi$
$74$	−1.67235	+	0.125502i	−0.194407	+	0.0145893i
$75$	0.326915	−	0.429443i	0.0377489	−	0.0495878i
$76$	−7.53934	+	6.01502i	−0.864821	+	0.689970i
$77$	−8.42734	−	7.38322i	−0.960384	−	0.841396i
$78$	−6.41283	−	12.5797i	−0.726110	−	1.42437i
$79$	2.37904	+	4.12062i	0.267663	+	0.463606i	0.968258	−	0.249954i	$-0.0804153\pi$
$79$	2.37904	+	4.12062i	0.267663	+	0.463606i	−0.700595	+	0.713559i	$0.747082\pi$
$80$	5.88836	−	6.35150i	0.658338	−	0.710119i
$81$	−7.72431	+	4.61898i	−0.858257	+	0.513220i
$82$	−15.3069	−	7.36943i	−1.69036	−	0.813818i
$83$	−1.60640	−	0.927454i	−0.176325	−	0.101801i	0.409240	−	0.912427i	$-0.365794\pi$
$83$	−1.60640	−	0.927454i	−0.176325	−	0.101801i	−0.585565	+	0.810626i	$0.699127\pi$
$84$	9.02816	+	1.57868i	0.985054	+	0.172248i
$85$	2.12746	−	1.22829i	0.230755	−	0.133226i
$86$	−6.42249	+	0.481978i	−0.692555	+	0.0519731i
$87$	7.42532	−	3.10907i	0.796078	−	0.333327i
$88$	−11.6765	+	2.66897i	−1.24472	+	0.284513i
$89$	−2.46321	+	4.26641i	−0.261100	+	0.452239i	−0.966535	−	0.256536i	$-0.917419\pi$
$89$	−2.46321	+	4.26641i	−0.261100	+	0.452239i	0.705434	+	0.708775i	$0.250752\pi$
$90$	−5.93791	+	7.00944i	−0.625911	+	0.738860i
$91$	2.96799	−	14.9597i	0.311130	−	1.56821i
$92$	−1.50854	+	3.84608i	−0.157276	+	0.400981i
$93$	3.53306	+	8.43792i	0.366361	+	0.874972i
$94$	6.27387	+	3.02053i	0.647101	+	0.311543i
$95$	5.22090	−	9.04286i	0.535653	−	0.927778i
$96$	7.02684	−	6.82814i	0.717174	−	0.696894i
$97$	0.683789	−	1.18436i	0.0694282	−	0.120253i	−0.829222	−	0.558920i	$-0.811216\pi$
$97$	0.683789	−	1.18436i	0.0694282	−	0.120253i	0.898650	+	0.438667i	$0.144549\pi$
$98$	6.60456	+	7.37427i	0.667161	+	0.744913i
$99$	12.2458	−	3.38209i	1.23075	−	0.339913i
$100$	0.227563	−	0.580179i	0.0227563	−	0.0580179i
$101$		−	0.581468i		−	0.0578582i	−0.999581	−	0.0289291i	$-0.990790\pi$
$101$		−	0.581468i		−	0.0578582i	0.999581	−	0.0289291i	$-0.00920970\pi$
$102$	2.47589	−	1.26215i	0.245149	−	0.124971i
$103$	−3.94271			−0.388487			−0.194243	−	0.980953i	$-0.562225\pi$
$103$	−3.94271			−0.388487			−0.194243	+	0.980953i	$0.562225\pi$
$104$	−11.0935	−	11.9484i	−1.08781	−	1.17164i
$105$	−9.72339	+	1.97788i	−0.948905	+	0.193022i
$106$	4.01357	−	8.33652i	0.389833	−	0.809714i
$107$	−0.262791	−	0.151722i	−0.0254049	−	0.0146675i	0.487244	−	0.873266i	$-0.338002\pi$
$107$	−0.262791	−	0.151722i	−0.0254049	−	0.0146675i	−0.512649	+	0.858598i	$0.671336\pi$
$108$	−7.12163	+	7.56851i	−0.685279	+	0.728280i
$109$	14.3271	−	8.27174i	1.37229	−	0.792289i	0.381070	−	0.924546i	$-0.375556\pi$
$109$	14.3271	−	8.27174i	1.37229	−	0.792289i	0.991215	+	0.132257i	$0.0422224\pi$
$110$	10.7135	−	7.30596i	1.02149	−	0.696596i
$111$	1.89459	−	0.793286i	0.179826	−	0.0752953i
$112$	10.5261	−	1.09617i	0.994621	−	0.103578i
$113$	7.24388	+	12.5468i	0.681447	+	1.18030i	0.974539	+	0.224216i	$0.0719823\pi$
$113$	7.24388	+	12.5468i	0.681447	+	1.18030i	−0.293093	+	0.956084i	$0.594684\pi$
$114$	6.43153	−	9.90800i	0.602368	−	0.927969i
$115$		−	4.47274i		−	0.417085i
$116$	7.26612	−	5.79704i	0.674643	−	0.538242i
$117$	12.3216	+	12.1341i	1.13914	+	1.12180i
$118$	−5.57236	+	0.418180i	−0.512977	+	0.0384966i
$119$	2.94431	+	0.584148i	0.269904	+	0.0535487i
$120$	−4.38292	+	9.65979i	−0.400104	+	0.881814i
$121$	−6.93313			−0.630285
$122$	−7.73943	+	16.0754i	−0.700695	+	1.45540i
$123$	20.6389	+	2.63671i	1.86094	+	0.237744i
$124$	6.58759	+	8.25702i	0.591583	+	0.741502i
$125$			11.5011i			1.02869i
$126$	−11.1014	+	1.66096i	−0.988992	+	0.147971i
$127$	17.4782			1.55094			0.775468	−	0.631387i	$-0.217514\pi$
$127$	17.4782			1.55094			0.775468	+	0.631387i	$0.217514\pi$
$128$	5.64964	−	9.80212i	0.499362	−	0.866393i
$129$	7.27596	−	3.04653i	0.640613	−	0.268232i
$130$	15.9044	+	7.65709i	1.39491	+	0.671571i
$131$		−	13.4007i		−	1.17083i	−0.810736	−	0.585413i	$-0.800933\pi$
$131$		−	13.4007i		−	1.17083i	0.810736	−	0.585413i	$-0.199067\pi$
$132$	12.5342	−	7.62183i	1.09096	−	0.663395i
$133$	12.0797	−	4.10717i	1.04745	−	0.356137i
$134$	21.6079	−	1.62157i	1.86663	−	0.140082i
$135$	4.18577	−	10.4435i	0.360254	−	0.898830i
$136$	2.35164	−	2.18338i	0.201651	−	0.187224i
$137$	11.1831			0.955437			0.477718	−	0.878513i	$-0.341464\pi$
$137$	11.1831			0.955437			0.477718	+	0.878513i	$0.341464\pi$
$138$	0.263808	−	5.05296i	0.0224568	−	0.430136i
$139$	−3.63482	+	2.09856i	−0.308301	+	0.177998i	−0.646166	−	0.763197i	$-0.723629\pi$
$139$	−3.63482	+	2.09856i	−0.308301	+	0.177998i	0.337865	+	0.941195i	$0.390295\pi$
$140$	−10.1757	+	5.26597i	−0.860003	+	0.445056i
$141$	−8.45930	−	1.08071i	−0.712401	−	0.0910125i
$142$	−7.40024	+	5.04654i	−0.621014	+	0.423496i
$143$	−12.2055	−	21.1406i	−1.02068	−	1.76786i
$144$	−5.52123	+	10.6544i	−0.460103	+	0.887866i
$145$	−5.03170	+	8.71516i	−0.417860	+	0.723754i
$146$	−9.67580	−	4.65837i	−0.800775	−	0.385529i
$147$	−10.5291	−	6.01148i	−0.868426	−	0.495819i
$148$	1.85397	−	1.47913i	0.152395	−	0.121583i
$149$			8.12657i			0.665754i	0.942970	+	0.332877i	$0.108019\pi$
$149$			8.12657i			0.665754i	−0.942970	+	0.332877i	$0.891981\pi$
$150$	−0.0397953	+	0.762237i	−0.00324927	+	0.0622364i
$151$	−12.6380			−1.02846			−0.514232	−	0.857651i	$-0.671923\pi$
$151$	−12.6380			−1.02846			−0.514232	+	0.857651i	$0.671923\pi$
$152$	4.01629	−	13.0351i	0.325764	−	1.05729i
$153$	−2.38819	+	2.42509i	−0.193074	+	0.196057i
$154$	15.7292	+	1.91179i	1.26750	+	0.154056i
$155$	−9.90366	−	5.71788i	−0.795481	−	0.459271i
$156$	17.5159	+	9.58846i	1.40240	+	0.767691i
$157$	−13.7065	−	7.91344i	−1.09390	−	0.631561i	−0.159285	−	0.987233i	$-0.550919\pi$
$157$	−13.7065	−	7.91344i	−1.09390	−	0.631561i	−0.934611	+	0.355672i	$0.884252\pi$
$158$	−6.06287	−	2.91894i	−0.482336	−	0.232218i
$159$	−1.43602	+	11.2404i	−0.113883	+	0.891424i
$160$	−1.81919	+	12.1128i	−0.143820	+	0.957598i
$161$	3.60146	−	4.11077i	0.283835	−	0.323974i
$162$	5.34474	−	11.5514i	0.419922	−	0.907560i
$163$	1.62516	+	0.938286i	0.127292	+	0.0734922i	0.562294	−	0.826937i	$-0.309919\pi$
$163$	1.62516	+	0.938286i	0.127292	+	0.0734922i	−0.435002	+	0.900430i	$0.643252\pi$
$164$	23.7563	−	3.58580i	1.85506	−	0.280004i
$165$	−9.61988	+	12.6369i	−0.748906	+	0.983780i
$166$	2.61588	−	0.196310i	0.203032	−	0.0152366i
$167$	−4.23181	−	7.32971i	−0.327467	−	0.567190i	0.654541	−	0.756026i	$-0.272862\pi$
$167$	−4.23181	−	7.32971i	−0.327467	−	0.567190i	−0.982009	+	0.188836i	$0.939528\pi$
$168$	−11.8063	+	5.34892i	−0.910877	+	0.412678i
$169$	10.1144	−	17.5187i	0.778035	−	1.34760i
$170$	−1.50704	+	3.13023i	−0.115584	+	0.240078i
$171$	−3.63714	+	14.0025i	−0.278139	+	1.07080i
$172$	7.11997	−	5.68044i	0.542892	−	0.433129i
$173$	−19.2162	+	11.0945i	−1.46098	+	0.843497i	−0.999057	−	0.0434225i	$-0.986174\pi$
$173$	−19.2162	+	11.0945i	−1.46098	+	0.843497i	−0.461923	+	0.886920i	$0.652841\pi$
$174$	−6.19846	+	9.54895i	−0.469904	+	0.723904i
$175$	−0.543279	+	0.620109i	−0.0410681	+	0.0468758i
$176$	11.5162	−	12.4220i	0.868068	−	0.936345i
$177$	6.31286	−	2.64327i	0.474503	−	0.198680i
$178$	−0.521377	−	6.94749i	−0.0390789	−	0.520736i
$179$	−13.0127	+	7.51290i	−0.972617	+	0.561541i	−0.900033	−	0.435822i	$-0.856458\pi$
$179$	−13.0127	+	7.51290i	−0.972617	+	0.561541i	−0.0725840	+	0.997362i	$0.523125\pi$
$180$	1.35286	−	12.9210i	0.100836	−	0.963074i
$181$			9.43061i			0.700971i	0.936568	+	0.350486i	$0.113983\pi$
$181$			9.43061i			0.700971i	−0.936568	+	0.350486i	$0.886017\pi$
$182$	8.45179	+	19.8437i	0.626488	+	1.47091i
$183$	2.76909	−	21.6751i	0.204697	−	1.60227i
$184$	−1.30190	−	5.69570i	−0.0959773	−	0.419893i
$185$	−1.28385	+	2.22369i	−0.0943904	+	0.163489i
$186$	−10.8512	−	7.04376i	−0.795645	−	0.516473i
$187$	4.16080	−	2.40224i	0.304268	−	0.175669i
$188$	−9.73705	+	1.46972i	−0.710147	+	0.107190i
$189$	12.2561	−	6.22792i	0.891503	−	0.453014i
$190$	1.10508	+	14.7255i	0.0801711	+	1.06830i
$191$	4.82227	+	8.35242i	0.348928	+	0.604360i	0.986059	−	0.166395i	$-0.0532126\pi$
$191$	4.82227	+	8.35242i	0.348928	+	0.604360i	−0.637132	+	0.770755i	$0.719879\pi$
$192$	−2.76961	+	13.5768i	−0.199879	+	0.979821i
$193$	9.87298	−	17.1005i	0.710673	−	1.23092i	−0.253932	−	0.967222i	$-0.581724\pi$
$193$	9.87298	−	17.1005i	0.710673	−	1.23092i	0.964605	−	0.263699i	$-0.0849427\pi$
$194$	0.144734	+	1.92862i	0.0103913	+	0.138467i
$195$	−21.4445	−	2.73963i	−1.53567	−	0.196189i
$196$	−13.5924	−	3.35368i	−0.970884	−	0.239549i
$197$		−	10.6779i		−	0.760770i	−0.924828	−	0.380385i	$-0.875792\pi$
$197$		−	10.6779i		−	0.760770i	0.924828	−	0.380385i	$-0.124208\pi$
$198$	−11.6131	+	13.7088i	−0.825311	+	0.974242i
$199$	−7.79088	−	13.4942i	−0.552281	−	0.956579i	−0.998110	−	0.0614604i	$-0.980424\pi$
$199$	−7.79088	−	13.4942i	−0.552281	−	0.956579i	0.445828	−	0.895118i	$-0.352909\pi$
$200$	0.196391	+	0.859195i	0.0138869	+	0.0607543i
$201$	−24.4793	+	10.2498i	−1.72664	+	0.722963i
$202$	0.463300	+	0.679383i	0.0325977	+	0.0478012i
$203$	−11.6420	+	3.95833i	−0.817106	+	0.277820i
$204$	−1.88716	+	3.44741i	−0.132128	+	0.241367i
$205$	−22.5260	+	13.0054i	−1.57328	+	0.908334i
$206$	4.60664	−	3.14146i	0.320960	−	0.218876i
$207$	1.64975	+	5.97338i	0.114666	+	0.415179i
$208$	22.4819	+	5.12138i	1.55884	+	0.355104i
$209$	10.2108	−	17.6857i	0.706298	−	1.22334i
$210$	9.78482	−	10.0583i	0.675216	−	0.694090i
$211$	10.6451	−	6.14592i	0.732836	−	0.423103i	−0.0866231	−	0.996241i	$-0.527608\pi$
$211$	10.6451	−	6.14592i	0.732836	−	0.423103i	0.819459	+	0.573138i	$0.194274\pi$
$212$	1.95291	+	12.9383i	0.134127	+	0.888604i
$213$	6.64486	−	8.72883i	0.455298	−	0.598090i
$214$	0.427932	−	0.0321143i	0.0292528	−	0.00219529i
$215$	−4.93049	+	8.53985i	−0.336256	+	0.582413i
$216$	2.29045	−	14.5174i	0.155846	−	0.987781i
$217$	−4.49814	−	13.2296i	−0.305353	−	0.898084i
$218$	−10.1489	+	21.0802i	−0.687373	+	1.42773i
$219$	13.0462	+	1.66672i	0.881583	+	0.112626i
$220$	−6.69631	+	17.0725i	−0.451465	+	1.15103i
$221$	5.66378	+	3.26999i	0.380987	+	0.219963i
$222$	−1.58155	+	2.43643i	−0.106147	+	0.163523i
$223$	−3.46448	+	6.00065i	−0.231999	+	0.401833i	−0.958396	−	0.285441i	$-0.907860\pi$
$223$	−3.46448	+	6.00065i	−0.231999	+	0.401833i	0.726398	+	0.687275i	$0.241193\pi$
$224$	−11.4252	+	9.66771i	−0.763379	+	0.645951i
$225$	−0.248864	−	0.901083i	−0.0165910	−	0.0600722i
$226$	−18.4607	−	8.88781i	−1.22799	−	0.591208i
$227$			28.1419i			1.86784i	0.357482	+	0.933920i	$0.383635\pi$
$227$			28.1419i			1.86784i	−0.357482	+	0.933920i	$0.616365\pi$
$228$	0.379910	+	16.7010i	0.0251601	+	1.10605i
$229$		−	13.9795i		−	0.923794i	−0.886934	−	0.461897i	$-0.847169\pi$
$229$		−	13.9795i		−	0.923794i	0.886934	−	0.461897i	$-0.152831\pi$
$230$	3.56378	+	5.22592i	0.234989	+	0.344587i
$231$	−19.0166	+	3.86827i	−1.25120	+	0.254513i
$232$	−3.87074	+	12.5627i	−0.254127	+	0.824783i
$233$	−5.28999	+	9.16254i	−0.346559	+	0.600258i	−0.985636	−	0.168885i	$-0.945983\pi$
$233$	−5.28999	+	9.16254i	−0.346559	+	0.600258i	0.639077	+	0.769143i	$0.279317\pi$
$234$	−24.0647	−	4.35984i	−1.57316	−	0.285012i
$235$	9.23276	−	5.33054i	0.602279	−	0.347726i
$236$	6.17751	−	4.92853i	0.402122	−	0.320820i
$237$	8.17479	+	1.04437i	0.531010	+	0.0678389i
$238$	−3.90555	+	1.66345i	−0.253159	+	0.107825i
$239$	−4.66342	−	8.07728i	−0.301651	−	0.522476i	0.674859	−	0.737947i	$-0.264205\pi$
$239$	−4.66342	−	8.07728i	−0.301651	−	0.522476i	−0.976510	+	0.215471i	$0.930871\pi$
$240$	−2.57573	−	14.7787i	−0.166263	−	0.953958i
$241$	7.24462			0.466667			0.233334	−	0.972397i	$-0.425037\pi$
$241$	7.24462			0.466667			0.233334	+	0.972397i	$0.425037\pi$
$242$	8.10063	−	5.52417i	0.520728	−	0.355107i
$243$	−1.73811	+	15.4913i	−0.111500	+	0.993764i
$244$	−3.76583	−	24.9490i	−0.241083	−	1.59720i
$245$	15.0253	−	1.99322i	0.959929	−	0.127342i
$246$	−26.2152	+	13.3639i	−1.67142	+	0.852049i
$247$	27.7985			1.76877
$248$	−14.2759	−	4.39860i	−0.906521	−	0.279311i
$249$	−2.96350	+	1.24085i	−0.187804	+	0.0786359i
$250$	−9.16379	−	13.4378i	−0.579569	−	0.849879i
$251$		−	15.4048i		−	0.972340i	−0.873864	−	0.486170i	$-0.838394\pi$
$251$		−	15.4048i		−	0.972340i	0.873864	−	0.486170i	$-0.161606\pi$
$252$	11.6474	−	10.7860i	0.733717	−	0.679455i
$253$		−	8.74761i		−	0.549957i
$254$	−20.4214	+	13.9262i	−1.28135	+	0.873808i
$255$	0.539202	−	4.22061i	0.0337661	−	0.264305i
$256$	1.20911	+	15.9542i	0.0755694	+	0.997141i
$257$	−8.14520			−0.508084			−0.254042	−	0.967193i	$-0.581760\pi$
$257$	−8.14520			−0.508084			−0.254042	+	0.967193i	$0.581760\pi$
$258$	−6.07378	+	9.35687i	−0.378137	+	0.582534i
$259$	−2.97047	+	1.00998i	−0.184576	+	0.0627569i
$260$	−24.6836	+	3.72576i	−1.53081	+	0.231062i
$261$	3.50533	−	13.4951i	0.216975	−	0.835326i
$262$	10.6774	+	15.6573i	0.659651	+	0.967312i
$263$	−0.817542			−0.0504118			−0.0252059	−	0.999682i	$-0.508024\pi$
$263$	−0.817542			−0.0504118			−0.0252059	+	0.999682i	$0.508024\pi$
$264$	−8.57194	+	18.8922i	−0.527567	+	1.16274i
$265$	−7.08304	−	12.2682i	−0.435108	−	0.753629i
$266$	−10.8414	+	14.4237i	−0.664728	+	0.884371i
$267$	3.29557	+	7.87073i	0.201685	+	0.481681i
$268$	−23.9545	+	19.1113i	−1.46325	+	1.16741i
$269$	9.33235	−	5.38804i	0.569004	−	0.328514i	−0.187748	−	0.982217i	$-0.560119\pi$
$269$	9.33235	−	5.38804i	0.569004	−	0.328514i	0.756751	+	0.653703i	$0.226785\pi$
$270$	3.43049	+	15.5372i	0.208773	+	0.945565i
$271$	−9.94945	+	17.2329i	−0.604386	+	1.04683i	0.387762	+	0.921759i	$0.373248\pi$
$271$	−9.94945	+	17.2329i	−0.604386	+	1.04683i	−0.992148	+	0.125068i	$0.960085\pi$
$272$	−1.00797	+	4.42478i	−0.0611171	+	0.268292i
$273$	−17.5031	−	19.7851i	−1.05933	−	1.19745i
$274$	−13.0663	+	8.91045i	−0.789362	+	0.538300i
$275$			1.31957i			0.0795733i
$276$	3.71785	+	6.11404i	0.223789	+	0.368022i
$277$			28.9318i			1.73835i	0.494508	+	0.869173i	$0.335348\pi$
$277$			28.9318i			1.73835i	−0.494508	+	0.869173i	$0.664652\pi$
$278$	2.57481	−	5.34809i	0.154427	−	0.320757i
$279$	15.3354	+	3.98336i	0.918109	+	0.238477i
$280$	7.69341	−	14.2605i	0.459769	−	0.852227i
$281$	−9.99912	+	17.3190i	−0.596497	+	1.03316i	0.396836	+	0.917889i	$0.370108\pi$
$281$	−9.99912	+	17.3190i	−0.596497	+	1.03316i	−0.993334	+	0.115274i	$0.963225\pi$
$282$	10.7449	−	5.47748i	0.639848	−	0.326179i
$283$	3.11325	+	1.79743i	0.185063	+	0.106846i	0.589669	−	0.807645i	$-0.299258\pi$
$283$	3.11325	+	1.79743i	0.185063	+	0.106846i	−0.404606	+	0.914491i	$0.632591\pi$
$284$	4.62543	−	11.7927i	0.274469	−	0.699768i
$285$	−6.98511	−	16.6824i	−0.413762	−	0.988178i
$286$	31.1052	+	14.9754i	1.83929	+	0.885516i
$287$	−31.1750	−	6.18508i	−1.84020	−	0.365094i
$288$	−2.03820	−	16.8477i	−0.120102	−	0.992762i
$289$	7.85641	−	13.6077i	0.462142	−	0.800454i
$290$	−1.06504	−	14.1919i	−0.0625411	−	0.833376i
$291$	−0.914850	−	2.18491i	−0.0536295	−	0.128082i
$292$	15.0168	−	2.26665i	0.878794	−	0.132646i
$293$	9.45617	−	5.45952i	0.552435	−	0.318949i	−0.197668	−	0.980269i	$-0.563337\pi$
$293$	9.45617	−	5.45952i	0.552435	−	0.318949i	0.750104	+	0.661320i	$0.230004\pi$
$294$	17.0920	−	1.36558i	0.996824	−	0.0796421i
$295$	−4.27785	+	7.40945i	−0.249066	+	0.431395i
$296$	−0.987628	+	3.20540i	−0.0574047	+	0.186310i
$297$	8.18638	−	20.4249i	0.475022	−	1.18517i
$298$	−6.47507	−	9.49503i	−0.375091	−	0.550033i
$299$	10.3122	−	5.95373i	0.596368	−	0.344313i
$300$	−0.560837	−	0.922302i	−0.0323800	−	0.0532491i
$301$	−11.4078	+	3.87871i	−0.657535	+	0.223565i
$302$	14.7662	−	10.0697i	0.849696	−	0.579444i
$303$	−0.801356	−	0.610035i	−0.0460367	−	0.0350456i
$304$	5.69346	+	18.4302i	0.326542	+	1.05705i
$305$	13.6583	+	23.6569i	0.782074	+	1.35459i
$306$	0.858086	−	4.73632i	0.0490535	−	0.270758i
$307$			17.5041i			0.999014i	0.866310	+	0.499507i	$0.166485\pi$
$307$			17.5041i			0.999014i	−0.866310	+	0.499507i	$0.833515\pi$
$308$	−19.9012	+	10.2990i	−1.13398	+	0.586839i
$309$	−4.13641	+	5.43368i	−0.235312	+	0.309111i
$310$	16.1273	−	1.21028i	0.915966	−	0.0687391i
$311$	0.828327	−	1.43470i	0.0469701	−	0.0813547i	−0.841585	−	0.540125i	$-0.818377\pi$
$311$	0.828327	−	1.43470i	0.0469701	−	0.0813547i	0.888555	+	0.458771i	$0.151710\pi$
$312$	−28.1054	+	2.75322i	−1.59115	+	0.155870i
$313$	11.0353	+	19.1138i	0.623754	+	1.08037i	0.988780	+	0.149376i	$0.0477265\pi$
$313$	11.0353	+	19.1138i	0.623754	+	1.08037i	−0.365027	+	0.930997i	$0.618940\pi$
$314$	22.3198	−	1.67500i	1.25958	−	0.0945258i
$315$	−7.47526	+	15.4754i	−0.421183	+	0.871942i
$316$	9.40957	−	1.42029i	0.529330	−	0.0798975i
$317$	2.40027	−	1.38580i	0.134813	−	0.0778342i	−0.431077	−	0.902315i	$-0.641866\pi$
$317$	2.40027	−	1.38580i	0.134813	−	0.0778342i	0.565890	+	0.824481i	$0.308533\pi$
$318$	−7.27829	−	14.2774i	−0.408146	−	0.800639i
$319$	−9.84080	+	17.0448i	−0.550979	+	0.954324i
$320$	−7.52565	−	15.6020i	−0.420697	−	0.872177i
$321$	−0.484799	+	0.202991i	−0.0270588	+	0.0113299i
$322$	−0.932553	+	7.67257i	−0.0519692	+	0.427576i
$323$			5.47118i			0.304425i
$324$	2.95910	+	17.7551i	0.164394	+	0.986395i
$325$	−1.55559	+	0.898119i	−0.0862884	+	0.0498187i
$326$	−2.64643	+	0.198603i	−0.146572	+	0.0109996i
$327$	3.63118	−	28.4231i	0.200805	−	1.57180i
$328$	−24.8996	+	23.1181i	−1.37485	+	1.27648i
$329$	12.7778	+	2.53509i	0.704461	+	0.139764i
$330$	1.17102	−	22.4298i	0.0644628	−	1.23472i
$331$	21.2047	−	12.2426i	1.16552	−	0.672911i	0.212897	−	0.977075i	$-0.431710\pi$
$331$	21.2047	−	12.2426i	1.16552	−	0.672911i	0.952620	+	0.304163i	$0.0983768\pi$
$332$	−2.89996	+	2.31364i	−0.159156	+	0.126978i
$333$	0.894392	−	3.44330i	0.0490124	−	0.188692i
$334$	10.7846	+	5.19218i	0.590106	+	0.284103i
$335$	16.5882	−	28.7315i	0.906308	−	1.56977i
$336$	9.53253	−	15.6567i	0.520042	−	0.854141i
$337$	13.8748	+	24.0318i	0.755807	+	1.30910i	0.944972	+	0.327151i	$0.106088\pi$
$337$	13.8748	+	24.0318i	0.755807	+	1.30910i	−0.189165	+	0.981945i	$0.560578\pi$
$338$	2.14088	+	28.5278i	0.116448	+	1.55171i
$339$	24.8912	+	3.17997i	1.35191	+	0.172712i
$340$	−0.733289	−	4.85812i	−0.0397682	−	0.263469i
$341$	−19.3692	−	11.1828i	−1.04890	−	0.605583i
$342$	−6.90730	−	19.2585i	−0.373504	−	1.04138i
$343$	15.4143	+	10.2665i	0.832292	+	0.554337i
$344$	−3.79288	+	12.3100i	−0.204499	+	0.663712i
$345$	−6.16415	−	4.69248i	−0.331867	−	0.252635i
$346$	13.6123	−	28.2738i	0.731800	−	1.52001i
$347$	8.19335	+	4.73043i	0.439842	+	0.253943i	0.703531	−	0.710665i	$-0.251606\pi$
$347$	8.19335	+	4.73043i	0.439842	+	0.253943i	−0.263688	+	0.964608i	$0.584939\pi$
$348$	−0.366142	−	16.0957i	−0.0196273	−	0.862822i
$349$	−7.11563	−	4.10821i	−0.380891	−	0.219908i	0.297315	−	0.954780i	$-0.403909\pi$
$349$	−7.11563	−	4.10821i	−0.380891	−	0.219908i	−0.678206	+	0.734872i	$0.737242\pi$
$350$	0.140675	−	1.15740i	0.00751941	−	0.0618659i
$351$	29.6498	−	4.25091i	1.58259	−	0.226897i
$352$	−3.55790	+	23.6897i	−0.189637	+	1.26266i
$353$	−33.5034			−1.78321			−0.891604	−	0.452816i	$-0.850419\pi$
$353$	−33.5034			−1.78321			−0.891604	+	0.452816i	$0.850419\pi$
$354$	−5.26981	+	8.11832i	−0.280087	+	0.431484i
$355$			13.7141i			0.727871i
$356$	6.14478	+	7.70198i	0.325672	+	0.408204i
$357$	3.89401	−	3.44488i	0.206093	−	0.182323i
$358$	9.21788	−	19.1463i	0.487180	−	1.01191i
$359$	−15.0542	+	26.0746i	−0.794530	+	1.37617i	0.128608	+	0.991696i	$0.458949\pi$
$359$	−15.0542	+	26.0746i	−0.794530	+	1.37617i	−0.923137	+	0.384470i	$0.874384\pi$
$360$	8.71448	+	16.1747i	0.459294	+	0.852484i
$361$	2.12776	+	3.68538i	0.111987	+	0.193968i
$362$	−7.51410	−	11.0187i	−0.394932	−	0.579128i
$363$	−7.27376	+	9.55497i	−0.381773	+	0.501506i
$364$	−25.6860	−	16.4510i	−1.34631	−	0.862269i
$365$	−14.2391	+	8.22095i	−0.745309	+	0.430304i
$366$	14.0348	+	27.5314i	0.733613	+	1.43909i
$367$	−18.4093			−0.960959			−0.480480	−	0.877006i	$-0.659537\pi$
$367$	−18.4093			−0.960959			−0.480480	+	0.877006i	$0.659537\pi$
$368$	6.05934	+	5.61750i	0.315865	+	0.292833i
$369$	25.2867	−	25.6774i	1.31637	−	1.33671i
$370$	−0.271746	−	3.62109i	−0.0141274	−	0.188251i
$371$	3.36855	−	16.9787i	0.174886	−	0.881488i
$372$	18.2907	−	0.416074i	0.948330	−	0.0215724i
$373$		−	1.28756i		−	0.0666675i	−0.999444	−	0.0333338i	$-0.989388\pi$
$373$		−	1.28756i		−	0.0666675i	0.999444	−	0.0333338i	$-0.0106124\pi$
$374$	−2.94740	+	6.12199i	−0.152407	+	0.316561i
$375$	15.8503	+	12.0661i	0.818506	+	0.623091i
$376$	10.2057	−	9.47547i	0.526317	−	0.488660i
$377$	−26.7911			−1.37981
$378$	−9.35774	+	17.0421i	−0.481310	+	0.876550i
$379$			5.66592i			0.291039i	0.989355	+	0.145519i	$0.0464853\pi$
$379$			5.66592i			0.291039i	−0.989355	+	0.145519i	$0.953515\pi$
$380$	−13.0241	−	16.3247i	−0.668124	−	0.837440i
$381$	18.3369	−	24.0877i	0.939426	−	1.23405i
$382$	−12.2893	−	5.91664i	−0.628778	−	0.302722i
$383$	−10.7968			−0.551692			−0.275846	−	0.961202i	$-0.588958\pi$
$383$	−10.7968			−0.551692			−0.275846	+	0.961202i	$0.588958\pi$
$384$	−7.58169	−	18.0698i	−0.386902	−	0.922121i
$385$	15.9867	−	18.2475i	0.814755	−	0.929977i
$386$	2.08977	+	27.8467i	0.106366	+	1.41736i
$387$	3.43482	−	13.2236i	0.174602	−	0.672196i
$388$	−1.70579	−	2.13807i	−0.0865984	−	0.108544i
$389$		−	5.47582i		−	0.277635i	−0.990318	−	0.138817i	$-0.955670\pi$
$389$		−	5.47582i		−	0.277635i	0.990318	−	0.138817i	$-0.0443301\pi$
$390$	27.2385	−	13.8855i	1.37927	−	0.703120i
$391$	1.17179	+	2.02960i	0.0592599	+	0.102641i
$392$	18.5534	−	6.91168i	0.937088	−	0.349093i
$393$	−18.4683	−	14.0591i	−0.931604	−	0.709187i
$394$	8.50792	+	12.4760i	0.428623	+	0.628532i
$395$	−8.92225	+	5.15126i	−0.448927	+	0.259188i
$396$	2.64587	−	25.2704i	0.132960	−	1.26988i
$397$	−14.3623	−	8.29206i	−0.720822	−	0.416167i	0.0942331	−	0.995550i	$-0.469960\pi$
$397$	−14.3623	−	8.29206i	−0.720822	−	0.416167i	−0.815055	+	0.579383i	$0.803293\pi$
$398$	19.8547	+	9.55895i	0.995227	+	0.479147i
$399$	7.01287	−	20.9568i	0.351082	−	1.04915i
$400$	−0.914050	−	0.847399i	−0.0457025	−	0.0423699i
$401$	30.7407			1.53512			0.767559	−	0.640979i	$-0.221471\pi$
$401$	30.7407			1.53512			0.767559	+	0.640979i	$0.221471\pi$
$402$	20.4347	−	31.4803i	1.01919	−	1.57010i
$403$		−	30.4446i		−	1.51656i
$404$	−1.08264	−	0.424640i	−0.0538631	−	0.0211266i
$405$	−10.0013	−	16.7252i	−0.496971	−	0.831083i
$406$	10.4485	−	13.9010i	0.518550	−	0.689893i
$407$	−2.51090	+	4.34901i	−0.124461	+	0.215572i
$408$	−0.541877	−	5.53159i	−0.0268269	−	0.273854i
$409$	6.70473	−	11.6129i	0.331528	−	0.574223i	−0.651284	−	0.758834i	$-0.725769\pi$
$409$	6.70473	−	11.6129i	0.331528	−	0.574223i	0.982812	+	0.184611i	$0.0591026\pi$
$410$	15.9568	−	33.1436i	0.788051	−	1.63684i
$411$	11.7325	−	15.4121i	0.578723	−	0.760223i
$412$	−2.87932	+	7.34093i	−0.141854	+	0.361662i
$413$	−9.89777	+	3.36529i	−0.487037	+	0.165595i
$414$	−6.68702	−	5.66478i	−0.328649	−	0.278409i
$415$	2.00819	−	3.47828i	0.0985781	−	0.170742i
$416$	−30.3483	+	11.9292i	−1.48795	+	0.584879i
$417$	−0.921242	+	7.21103i	−0.0451134	+	0.353126i
$418$	2.16128	+	28.7996i	0.105712	+	1.40863i
$419$	10.2637	−	5.92573i	0.501413	−	0.289491i	−0.227884	−	0.973688i	$-0.573181\pi$
$419$	10.2637	−	5.92573i	0.501413	−	0.289491i	0.729297	+	0.684197i	$0.239847\pi$
$420$	−3.41827	+	19.5484i	−0.166795	+	0.953865i
$421$	1.81568	+	1.04828i	0.0884910	+	0.0510903i	0.543593	−	0.839349i	$-0.317064\pi$
$421$	1.81568	+	1.04828i	0.0884910	+	0.0510903i	−0.455102	+	0.890440i	$0.650397\pi$
$422$	−7.54068	+	15.6626i	−0.367075	+	0.762444i
$423$	−10.3643	+	10.5245i	−0.503929	+	0.511717i
$424$	−12.5907	−	13.5610i	−0.611458	−	0.658578i
$425$	−0.176764	−	0.306164i	−0.00857431	−	0.0148511i
$426$	−0.808877	+	15.4932i	−0.0391902	+	0.750648i
$427$	−6.49562	+	32.7402i	−0.314345	+	1.58441i
$428$	−0.474405	+	0.378489i	−0.0229312	+	0.0182949i
$429$	−41.9403	−	5.35806i	−2.02490	−	0.258689i
$430$	−1.04361	−	13.9064i	−0.0503275	−	0.670627i
$431$	3.90244	+	6.75922i	0.187974	+	0.325580i	0.944575	−	0.328297i	$-0.106475\pi$
$431$	3.90244	+	6.75922i	0.187974	+	0.325580i	−0.756601	+	0.653877i	$0.773141\pi$
$432$	8.89096	+	18.7870i	0.427766	+	0.903889i
$433$	23.4536			1.12711			0.563555	−	0.826079i	$-0.309433\pi$
$433$	23.4536			1.12711			0.563555	+	0.826079i	$0.309433\pi$
$434$	15.7967	+	11.8734i	0.758264	+	0.569941i
$435$	6.73198	+	16.0778i	0.322774	+	0.770872i
$436$	−4.93824	−	32.7164i	−0.236499	−	1.56683i
$437$	8.62690	+	4.98074i	0.412681	+	0.238261i
$438$	−16.5711	+	8.44757i	−0.791800	+	0.403641i
$439$	13.5171	+	23.4123i	0.645135	+	1.11741i	0.984270	+	0.176670i	$0.0565324\pi$
$439$	13.5171	+	23.4123i	0.645135	+	1.11741i	−0.339135	+	0.940738i	$0.610134\pi$
$440$	−5.77905	−	25.2829i	−0.275505	−	1.20531i
$441$	−19.3312	+	8.20397i	−0.920533	+	0.390665i
$442$	−9.22298	+	0.692143i	−0.438693	+	0.0329219i
$443$	18.2716	−	10.5491i	0.868109	−	0.501203i	0.00138951	−	0.999999i	$-0.499558\pi$
$443$	18.2716	−	10.5491i	0.868109	−	0.501203i	0.866719	+	0.498796i	$0.166224\pi$
$444$	−0.0934220	−	4.10686i	−0.00443361	−	0.194903i
$445$	−9.23793	−	5.33352i	−0.437920	−	0.252833i
$446$	−0.733310	−	9.77155i	−0.0347232	−	0.462696i
$447$	11.1997	+	8.52583i	0.529728	+	0.403258i
$448$	5.64613	−	20.3990i	0.266755	−	0.963764i
$449$	18.9747			0.895474			0.447737	−	0.894165i	$-0.352230\pi$
$449$	18.9747			0.895474			0.447737	+	0.894165i	$0.352230\pi$
$450$	1.00873	+	0.854531i	0.0475522	+	0.0402830i
$451$	−44.0554	+	25.4354i	−2.07449	+	1.19771i
$452$	28.6510	−	4.32461i	1.34763	−	0.203412i
$453$	−13.2589	+	17.4172i	−0.622957	+	0.818330i
$454$	−22.4228	−	32.8808i	−1.05235	−	1.54317i
$455$	32.3918	+	6.42650i	1.51855	+	0.301279i
$456$	−13.7508	−	19.2106i	−0.643942	−	0.899619i
$457$	−3.47797	−	6.02403i	−0.162693	−	0.281792i	0.773141	−	0.634234i	$-0.218685\pi$
$457$	−3.47797	−	6.02403i	−0.162693	−	0.281792i	−0.935834	+	0.352442i	$0.885351\pi$
$458$	11.1386	+	16.3336i	0.520472	+	0.763219i
$459$	0.836646	+	5.83555i	0.0390513	+	0.272380i
$460$	−8.32779	−	3.26640i	−0.388285	−	0.152297i
$461$	33.5100	+	19.3470i	1.56071	+	0.901079i	0.997185	+	0.0749837i	$0.0238905\pi$
$461$	33.5100	+	19.3470i	1.56071	+	0.901079i	0.563530	+	0.826095i	$0.309443\pi$
$462$	19.1368	−	19.6717i	0.890323	−	0.915210i
$463$	7.08591	+	12.2732i	0.329310	+	0.570382i	0.982375	−	0.186920i	$-0.0598505\pi$
$463$	7.08591	+	12.2732i	0.329310	+	0.570382i	−0.653065	+	0.757302i	$0.726517\pi$
$464$	−5.48714	−	17.7623i	−0.254734	−	0.824595i
$465$	−18.2704	+	7.65003i	−0.847268	+	0.354761i
$466$	−1.11971	−	14.9204i	−0.0518695	−	0.691174i
$467$	19.1225	+	11.0404i	0.884886	+	0.510889i	0.872266	−	0.489031i	$-0.162650\pi$
$467$	19.1225	+	11.0404i	0.884886	+	0.510889i	0.0126197	+	0.999920i	$0.495983\pi$
$468$	31.5909	−	14.0802i	1.46029	−	0.650859i
$469$	38.3805	−	13.0496i	1.77225	−	0.602573i
$470$	−6.54025	+	13.5846i	−0.301679	+	0.626612i
$471$	−25.2859	+	10.5875i	−1.16511	+	0.487846i
$472$	−3.29083	+	10.6806i	−0.151473	+	0.491613i
$473$	−9.64286	+	16.7019i	−0.443379	+	0.767955i
$474$	−10.3835	+	5.29326i	−0.476930	+	0.243128i
$475$	−1.30137	−	0.751344i	−0.0597107	−	0.0344740i
$476$	3.23783	−	5.05542i	0.148406	−	0.231715i
$477$	13.9845	+	13.7717i	0.640308	+	0.630564i
$478$	11.8845	+	5.72174i	0.543585	+	0.261706i
$479$	−13.0279			−0.595262			−0.297631	−	0.954681i	$-0.596196\pi$
$479$	−13.0279			−0.595262			−0.297631	+	0.954681i	$0.596196\pi$
$480$	14.7848	+	15.2150i	0.674829	+	0.694467i
$481$	−6.83580			−0.311686
$482$	−8.46457	+	5.77235i	−0.385551	+	0.262924i
$483$	−1.88690	−	9.27613i	−0.0858571	−	0.422078i
$484$	−5.06320	+	12.9088i	−0.230145	+	0.586764i
$485$	2.56445	+	1.48059i	0.116446	+	0.0672300i
$486$	−10.3123	−	19.4848i	−0.467775	−	0.883848i
$487$	−13.1622	−	22.7976i	−0.596435	−	1.03306i	−0.993343	−	0.115197i	$-0.963250\pi$
$487$	−13.1622	−	22.7976i	−0.596435	−	1.03306i	0.396907	−	0.917859i	$-0.370083\pi$
$488$	24.2788	+	26.1498i	1.09905	+	1.18375i
$489$	2.99811	−	1.25534i	0.135579	−	0.0567687i
$490$	−15.9673	+	14.3007i	−0.721328	+	0.646038i
$491$	−25.2759	+	14.5930i	−1.14069	+	0.658575i	−0.946600	−	0.322410i	$-0.895507\pi$
$491$	−25.2759	+	14.5930i	−1.14069	+	0.658575i	−0.194085	+	0.980985i	$0.562174\pi$
$492$	19.9816	−	36.5020i	0.900842	−	1.64564i
$493$		−	5.27291i		−	0.237480i
$494$	−32.4796	+	22.1492i	−1.46133	+	0.996540i
$495$	7.32314	+	26.5155i	0.329151	+	1.19178i
$496$	20.1846	−	6.23543i	0.906315	−	0.279979i
$497$	−11.0427	+	12.6043i	−0.495331	+	0.565380i
$498$	2.47385	−	3.81106i	0.110856	−	0.170778i
$499$			31.4296i			1.40698i	0.710704	+	0.703491i	$0.248376\pi$
$499$			31.4296i			1.40698i	−0.710704	+	0.703491i	$0.751624\pi$
$500$	21.4138	+	8.39911i	0.957656	+	0.375620i
$501$	−14.5412	−	1.85771i	−0.649655	−	0.0829963i
$502$	12.2742	+	17.9988i	0.547823	+	0.803327i
$503$	−9.17089			−0.408910			−0.204455	−	0.978876i	$-0.565542\pi$
$503$	−9.17089			−0.408910			−0.204455	+	0.978876i	$0.565542\pi$
$504$	−5.01470	+	21.8827i	−0.223372	+	0.974733i
$505$	1.25903			0.0560263
$506$	6.96990	+	10.2207i	0.309850	+	0.454364i
$507$	−13.5323	−	32.3188i	−0.600989	−	1.43533i
$508$	12.7641	−	32.5426i	0.566317	−	1.44384i
$509$		−	20.5497i		−	0.910848i	−0.890275	−	0.455424i	$-0.849488\pi$
$509$		−	20.5497i		−	0.910848i	0.890275	−	0.455424i	$-0.150512\pi$
$510$	2.73289	+	5.36096i	0.121014	+	0.237387i
$511$	−19.7063	−	3.90971i	−0.871757	−	0.172956i
$512$	−14.1247	−	17.6775i	−0.624230	−	0.781241i
$513$	15.4819	+	19.7030i	0.683543	+	0.869910i
$514$	9.51681	−	6.48992i	0.419769	−	0.286258i
$515$		−	8.53703i		−	0.376186i
$516$	−0.358778	−	15.7720i	−0.0157943	−	0.694322i
$517$	18.0571	−	10.4253i	0.794150	−	0.458503i
$518$	2.66596	−	3.54686i	0.117135	−	0.155840i
$519$	−4.87033	+	38.1225i	−0.213784	+	1.67339i
$520$	25.8716	−	24.0205i	1.13454	−	1.05337i
$521$	11.1669	+	19.3416i	0.489230	+	0.847371i	0.999923	−	0.0123921i	$-0.00394461\pi$
$521$	11.1669	+	19.3416i	0.489230	+	0.847371i	−0.510693	+	0.859763i	$0.670611\pi$
$522$	6.65699	+	18.5606i	0.291368	+	0.812374i
$523$	−17.3433	−	10.0131i	−0.758368	−	0.437844i	0.0703417	−	0.997523i	$-0.477591\pi$
$523$	−17.3433	−	10.0131i	−0.758368	−	0.437844i	−0.828709	+	0.559679i	$0.810924\pi$
$524$	−24.9508	−	9.78641i	−1.08998	−	0.427521i
$525$	0.284639	+	1.39930i	0.0124227	+	0.0610705i
$526$	0.955211	−	0.651399i	0.0416492	−	0.0284023i
$527$	5.99199			0.261015
$528$	−5.03751	−	28.9035i	−0.219230	−	1.25786i
$529$	−18.7330			−0.814478
$530$	18.0508	+	8.69047i	0.784077	+	0.377490i
$531$	2.98016	−	11.4733i	0.129328	−	0.497897i
$532$	1.17456	−	25.4907i	0.0509237	−	1.10516i
$533$	−59.9693	−	34.6233i	−2.59756	−	1.49970i
$534$	−10.1217	−	6.57028i	−0.438011	−	0.284324i
$535$	0.328520	−	0.569013i	0.0142031	−	0.0246006i
$536$	12.7608	−	41.4159i	0.551183	−	1.78889i
$537$	−3.29806	+	25.8156i	−0.142322	+	1.11403i
$538$	−6.61080	+	13.7312i	−0.285012	+	0.591992i
$539$	29.3858	−	3.89826i	1.26574	−	0.167910i
$540$	−16.3879	−	15.4203i	−0.705222	−	0.663582i
$541$	4.80664	+	2.77511i	0.206653	+	0.119311i	0.599755	−	0.800184i	$-0.295265\pi$
$541$	4.80664	+	2.77511i	0.206653	+	0.119311i	−0.393102	+	0.919495i	$0.628598\pi$
$542$	−2.10595	−	28.0624i	−0.0904585	−	1.20538i
$543$	12.9969	+	9.89393i	0.557750	+	0.424589i
$544$	−2.34786	−	5.97302i	−0.100664	−	0.256091i
$545$	17.9106	+	31.0220i	0.767204	+	1.32884i
$546$	36.2148	+	9.17069i	1.54985	+	0.392469i
$547$	−14.6384	−	8.45148i	−0.625892	−	0.361359i	0.153267	−	0.988185i	$-0.451020\pi$
$547$	−14.6384	−	8.45148i	−0.625892	−	0.361359i	−0.779159	+	0.626826i	$0.784354\pi$
$548$	8.16691	−	20.8218i	0.348873	−	0.889464i
$549$	−26.9666	−	26.5562i	−1.15091	−	1.13339i
$550$	−1.05141	−	1.54178i	−0.0448322	−	0.0657418i
$551$	−11.2064	−	19.4100i	−0.477408	−	0.826895i
$552$	−9.21546	−	4.18131i	−0.392236	−	0.177968i
$553$	−12.3480	−	2.44983i	−0.525091	−	0.104177i
$554$	−23.0522	−	33.8038i	−0.979396	−	1.43619i
$555$	1.71768	+	4.10229i	0.0729113	+	0.174132i
$556$	1.25285	+	8.30024i	0.0531325	+	0.352008i
$557$	15.5753	−	8.99238i	0.659945	−	0.381020i	−0.132311	−	0.991208i	$-0.542240\pi$
$557$	15.5753	−	8.99238i	0.659945	−	0.381020i	0.792256	+	0.610189i	$0.208906\pi$
$558$	−21.0917	+	7.56481i	−0.892883	+	0.320244i
$559$	−26.2522			−1.11035
$560$	2.37351	+	22.7918i	0.100299	+	0.963130i
$561$	1.05455	−	8.25451i	0.0445232	−	0.348506i
$562$	−2.11647	−	28.2025i	−0.0892778	−	1.18965i
$563$	23.0072	+	13.2832i	0.969636	+	0.559820i	0.899125	−	0.437691i	$-0.144204\pi$
$563$	23.0072	+	13.2832i	0.969636	+	0.559820i	0.0705108	+	0.997511i	$0.477537\pi$
$564$	−8.18992	+	14.9611i	−0.344858	+	0.629978i
$565$	−27.1671	+	15.6850i	−1.14293	+	0.659871i
$566$	−5.06966	+	0.380455i	−0.213094	+	0.0159917i
$567$	4.27523	−	23.4248i	0.179543	−	0.983750i
$568$	3.99183	+	17.4640i	0.167494	+	0.732771i
$569$	−12.2097	−	21.1478i	−0.511857	−	0.886562i	−0.999906	−	0.0137454i	$-0.995625\pi$
$569$	−12.2097	−	21.1478i	−0.511857	−	0.886562i	0.488049	−	0.872816i	$-0.337709\pi$
$570$	21.4535	+	13.9260i	0.898588	+	0.583296i
$571$	35.2488	+	20.3509i	1.47512	+	0.851659i	0.999606	−	0.0280515i	$-0.00893026\pi$
$571$	35.2488	+	20.3509i	1.47512	+	0.851659i	0.475510	+	0.879710i	$0.342264\pi$
$572$	−48.2752	+	7.28671i	−2.01849	+	0.304673i
$573$	16.5702	+	2.11691i	0.692229	+	0.0884354i
$574$	41.3528	−	17.6129i	1.72603	−	0.735149i
$575$	−0.643676			−0.0268431
$576$	15.8053	+	18.0608i	0.658555	+	0.752533i
$577$	3.84537	+	6.66037i	0.160085	+	0.277275i	0.934899	−	0.354914i	$-0.115490\pi$
$577$	3.84537	+	6.66037i	0.160085	+	0.277275i	−0.774814	+	0.632189i	$0.782157\pi$
$578$	1.66293	+	22.1590i	0.0691688	+	0.921692i
$579$	−13.2092	−	31.5472i	−0.548955	−	1.31106i
$580$	12.5522	+	15.7331i	0.521200	+	0.653282i
$581$	4.64640	−	1.57980i	0.192765	−	0.0655412i
$582$	2.80980	+	1.82391i	0.116470	+	0.0756035i
$583$	−13.8527	−	23.9937i	−0.573722	−	0.993716i
$584$	−15.7396	+	14.6134i	−0.651308	+	0.604708i
$585$	−26.2737	+	26.6797i	−1.08628	+	1.10307i
$586$	−6.69851	+	13.9133i	−0.276713	+	0.574755i
$587$	−11.7047	−	6.75774i	−0.483107	−	0.278922i	0.238604	−	0.971117i	$-0.423310\pi$
$587$	−11.7047	−	6.75774i	−0.483107	−	0.278922i	−0.721710	+	0.692195i	$0.756644\pi$
$588$	−18.8821	+	15.2140i	−0.778684	+	0.627416i
$589$	22.0570	−	12.7346i	0.908843	−	0.524721i
$590$	−0.905472	−	12.0657i	−0.0372777	−	0.496735i
$591$	−14.7159	−	11.2025i	−0.605330	−	0.460810i
$592$	−1.40005	−	4.53209i	−0.0575419	−	0.186268i
$593$	−7.54049	+	13.0605i	−0.309651	+	0.536331i	−0.978286	−	0.207260i	$-0.933545\pi$
$593$	−7.54049	+	13.0605i	−0.309651	+	0.536331i	0.668635	+	0.743590i	$0.266879\pi$
$594$	6.70922	+	30.3871i	0.275282	+	1.24680i
$595$	−1.26484	+	6.37523i	−0.0518533	+	0.261359i
$596$	15.1309	+	5.93475i	0.619784	+	0.243097i
$597$	−26.7708	−	3.42009i	−1.09566	−	0.139975i
$598$	−7.30487	+	15.1728i	−0.298719	+	0.620462i
$599$	23.8811	−	41.3632i	0.975754	−	1.69005i	0.298329	−	0.954463i	$-0.403571\pi$
$599$	23.8811	−	41.3632i	0.975754	−	1.69005i	0.677425	−	0.735592i	$-0.263096\pi$
$600$	1.39015	+	0.630749i	0.0567526	+	0.0257502i
$601$	−4.82230	+	8.35246i	−0.196706	+	0.340704i	−0.947458	−	0.319879i	$-0.896358\pi$
$601$	−4.82230	+	8.35246i	−0.196706	+	0.340704i	0.750753	+	0.660583i	$0.229691\pi$
$602$	10.2383	−	13.6213i	0.417283	−	0.555165i
$603$	−11.5561	+	44.4897i	−0.470602	+	1.81176i
$604$	−9.22940	+	23.5307i	−0.375539	+	0.957450i
$605$		−	15.0121i		−	0.610329i
$606$	1.42236	+	0.0742594i	0.0577795	+	0.00301658i
$607$	−22.5384			−0.914806			−0.457403	−	0.889260i	$-0.651220\pi$
$607$	−22.5384			−0.914806			−0.457403	+	0.889260i	$0.651220\pi$
$608$	−21.3370	−	16.9973i	−0.865329	−	0.689333i
$609$	−6.75873	+	20.1973i	−0.273878	+	0.818436i
$610$	−34.8076	−	16.7580i	−1.40932	−	0.678510i
$611$	24.5798	+	14.1911i	0.994391	+	0.574112i
$612$	2.77121	+	6.21760i	0.112020	+	0.251331i
$613$	3.75713	−	2.16918i	0.151749	−	0.0876123i	−0.422203	−	0.906501i	$-0.638743\pi$
$613$	3.75713	−	2.16918i	0.151749	−	0.0876123i	0.573952	+	0.818889i	$0.305410\pi$
$614$	−13.9469	−	20.4517i	−0.562851	−	0.825365i
$615$	−5.70918	+	44.6887i	−0.230216	+	1.80202i
$616$	15.0465	−	27.8901i	0.606240	−	1.12373i
$617$	−6.29904	−	10.9103i	−0.253590	−	0.439230i	0.710922	−	0.703271i	$-0.248278\pi$
$617$	−6.29904	−	10.9103i	−0.253590	−	0.439230i	−0.964512	+	0.264041i	$0.914945\pi$
$618$	0.503524	−	9.64449i	0.0202547	−	0.387958i
$619$			18.8635i			0.758187i	0.925358	+	0.379093i	$0.123764\pi$
$619$			18.8635i			0.758187i	−0.925358	+	0.379093i	$0.876236\pi$
$620$	−17.8787	+	14.2639i	−0.718025	+	0.572853i
$621$	9.96308	+	3.99324i	0.399805	+	0.160243i
$622$	0.175328	+	2.33629i	0.00703002	+	0.0936768i
$623$	−4.19577	−	12.3403i	−0.168100	−	0.494404i
$624$	30.6445	−	25.6106i	1.22676	−	1.02524i
$625$	−23.3449			−0.933795
$626$	−28.1230	−	13.5397i	−1.12402	−	0.541155i
$627$	−13.6612	−	32.6267i	−0.545576	−	1.30299i
$628$	−24.7437	+	19.7410i	−0.987383	+	0.787752i
$629$		−	1.34539i		−	0.0536444i
$630$	−3.59644	−	24.0375i	−0.143285	−	0.957678i
$631$	20.2028			0.804263			0.402131	−	0.915582i	$-0.368270\pi$
$631$	20.2028			0.804263			0.402131	+	0.915582i	$0.368270\pi$
$632$	−9.86243	+	9.15679i	−0.392307	+	0.364238i
$633$	2.69798	−	21.1185i	0.107235	−	0.839383i
$634$	−1.70029	+	3.53164i	−0.0675273	+	0.140260i
$635$			37.8449i			1.50183i
$636$	19.8799	+	10.8825i	0.788288	+	0.431519i
$637$	24.5958	+	31.9884i	0.974523	+	1.26743i
$638$	−2.08296	−	27.7559i	−0.0824651	−	1.09887i
$639$	−5.05840	−	18.3154i	−0.200107	−	0.724544i
$640$	21.2242	+	12.2330i	0.838962	+	0.483551i
$641$	36.0514			1.42394			0.711972	−	0.702207i	$-0.247802\pi$
$641$	36.0514			1.42394			0.711972	+	0.702207i	$0.247802\pi$
$642$	0.404698	−	0.623451i	0.0159721	−	0.0246056i
$643$	11.4486	−	6.60985i	0.451489	−	0.260667i	−0.256970	−	0.966419i	$-0.582724\pi$
$643$	11.4486	−	6.60985i	0.451489	−	0.260667i	0.708459	+	0.705752i	$0.249391\pi$
$644$	−5.02374	−	9.70762i	−0.197963	−	0.382534i
$645$	6.59656	+	15.7544i	0.259739	+	0.620330i
$646$	−4.35931	−	6.39249i	−0.171515	−	0.251509i
$647$	23.8302	+	41.2751i	0.936861	+	1.62269i	0.771281	+	0.636495i	$0.219616\pi$
$647$	23.8302	+	41.2751i	0.936861	+	1.62269i	0.165581	+	0.986196i	$0.447050\pi$
$648$	−17.6043	−	18.3872i	−0.691561	−	0.722318i
$649$	−8.36645	+	14.4911i	−0.328412	+	0.568826i
$650$	1.10194	−	2.28881i	0.0432216	−	0.0897747i
$651$	−22.9516	−	7.68043i	−0.899546	−	0.301020i
$652$	2.93383	−	2.34066i	0.114898	−	0.0916675i
$653$		−	4.06652i		−	0.159135i	−0.996829	−	0.0795676i	$-0.974646\pi$
$653$		−	4.06652i		−	0.159135i	0.996829	−	0.0795676i	$-0.0253539\pi$
$654$	18.4043	+	36.1027i	0.719664	+	1.41173i
$655$	29.0161			1.13375
$656$	10.6726	−	46.8506i	0.416695	−	1.82921i
$657$	15.9842	−	16.2312i	0.623603	−	0.633240i
$658$	−16.9494	+	7.21905i	−0.660755	+	0.281428i
$659$	23.0493	+	13.3075i	0.897874	+	0.518388i	0.876510	−	0.481384i	$-0.159866\pi$
$659$	23.0493	+	13.3075i	0.897874	+	0.518388i	0.0213643	+	0.999772i	$0.493199\pi$
$660$	16.5033	+	27.1399i	0.642391	+	1.05642i
$661$	−29.5178	−	17.0421i	−1.14811	−	0.662861i	−0.199683	−	0.979861i	$-0.563991\pi$
$661$	−29.5178	−	17.0421i	−1.14811	−	0.662861i	−0.948426	+	0.317000i	$0.897325\pi$
$662$	−15.0209	+	31.1996i	−0.583803	+	1.21261i
$663$	10.4486	−	4.37496i	0.405790	−	0.169909i
$664$	1.54484	−	5.01387i	0.0599515	−	0.194576i
$665$	8.89313	+	26.1559i	0.344861	+	1.01428i
$666$	1.69854	+	4.73577i	0.0658172	+	0.183507i
$667$	−8.31427	−	4.80025i	−0.321930	−	0.185866i
$668$	−16.7377	+	2.52640i	−0.647599	+	0.0977492i
$669$	4.63517	+	11.0701i	0.179206	+	0.427994i
$670$	3.51114	+	46.7868i	0.135647	+	1.80753i
$671$	26.7125	+	46.2673i	1.03122	+	1.78613i
$672$	1.33712	+	25.8885i	0.0515805	+	0.998669i
$673$	5.44974	−	9.43923i	0.210072	−	0.363855i	−0.741665	−	0.670771i	$-0.765963\pi$
$673$	5.44974	−	9.43923i	0.210072	−	0.363855i	0.951737	+	0.306915i	$0.0992968\pi$
$674$	−35.3592	−	17.0235i	−1.36199	−	0.655721i
$675$	−1.50293	−	0.602378i	−0.0578477	−	0.0231856i
$676$	−25.2317	−	31.6259i	−0.970449	−	1.21638i
$677$	23.6320	−	13.6439i	0.908252	−	0.524379i	0.0283836	−	0.999597i	$-0.490964\pi$
$677$	23.6320	−	13.6439i	0.908252	−	0.524379i	0.879868	+	0.475218i	$0.157631\pi$
$678$	−31.6165	+	16.1173i	−1.21422	+	0.618982i
$679$	1.16475	+	3.42567i	0.0446989	+	0.131465i
$680$	4.72761	+	5.09193i	0.181296	+	0.195267i
$681$	38.7840	+	29.5245i	1.48621	+	1.13138i
$682$	31.5411	−	2.36701i	1.20777	−	0.0906376i
$683$	4.90646	−	2.83274i	0.187740	−	0.108392i	−0.403184	−	0.915119i	$-0.632097\pi$
$683$	4.90646	−	2.83274i	0.187740	−	0.108392i	0.590924	+	0.806727i	$0.298763\pi$
$684$	23.4152	+	16.9979i	0.895301	+	0.649931i
$685$			24.2144i			0.925186i
$686$	−26.1900	+	0.286457i	−0.999940	+	0.0109370i
$687$	−19.2660	−	14.6664i	−0.735045	−	0.559556i
$688$	−5.37677	−	17.4050i	−0.204987	−	0.663561i
$689$	18.8567	−	32.6608i	0.718383	−	1.24428i
$690$	10.9410	+	0.571215i	0.416518	+	0.0217458i
$691$	9.70094	−	5.60084i	0.369041	−	0.213066i	−0.303998	−	0.952673i	$-0.598322\pi$
$691$	9.70094	−	5.60084i	0.369041	−	0.213066i	0.673039	+	0.739607i	$0.264988\pi$
$692$	6.62342	+	43.8808i	0.251785	+	1.66810i
$693$	−14.6198	+	30.2663i	−0.555361	+	1.14972i
$694$	−13.3422	+	1.00127i	−0.506462	+	0.0380077i
$695$	−4.54396	−	7.87037i	−0.172362	−	0.298540i
$696$	13.2525	+	18.5144i	0.502336	+	0.701788i
$697$	6.81441	−	11.8029i	0.258114	−	0.447067i
$698$	11.5872	−	0.869566i	0.438582	−	0.0329136i
$699$	7.07755	+	16.9032i	0.267698	+	0.639336i
$700$	0.757830	+	1.46439i	0.0286433	+	0.0553488i
$701$		−	4.87564i		−	0.184150i	−0.995752	−	0.0920751i	$-0.970650\pi$
$701$		−	4.87564i		−	0.184150i	0.995752	−	0.0920751i	$-0.0293500\pi$
$702$	−31.2556	+	28.5910i	−1.17967	+	1.07910i
$703$	−2.85933	−	4.95251i	−0.107842	−	0.186787i
$704$	−14.7184	−	30.5138i	−0.554720	−	1.15003i
$705$	2.34004	−	18.3167i	0.0881308	−	0.689845i
$706$	39.1452	−	26.6948i	1.47325	−	1.00467i
$707$	1.15715	+	1.01378i	0.0435189	+	0.0381271i
$708$	−0.311287	−	13.6843i	−0.0116989	−	0.514286i
$709$	−33.1528	+	19.1408i	−1.24508	+	0.718848i	−0.970124	−	0.242609i	$-0.921997\pi$
$709$	−33.1528	+	19.1408i	−1.24508	+	0.718848i	−0.274957	+	0.961457i	$0.588664\pi$
$710$	−10.9271	−	16.0235i	−0.410087	−	0.601352i
$711$	10.0157	−	10.1705i	0.375619	−	0.381423i
$712$	−13.3163	−	4.10293i	−0.499049	−	0.153764i
$713$	5.45487	−	9.44811i	0.204286	−	0.353834i
$714$	−1.80494	+	7.12765i	−0.0675481	+	0.266745i
$715$	45.7750	−	26.4282i	1.71189	−	0.988360i
$716$	4.48521	+	29.7150i	0.167620	+	1.11050i
$717$	−16.0243	−	2.04718i	−0.598439	−	0.0764533i
$718$	−3.18645	−	42.4603i	−0.118917	−	1.58460i
$719$	7.92823	−	13.7321i	0.295673	−	0.512121i	−0.679468	−	0.733705i	$-0.737789\pi$
$719$	7.92823	−	13.7321i	0.295673	−	0.512121i	0.975141	+	0.221584i	$0.0711227\pi$
$720$	−23.0696	−	11.9550i	−0.859754	−	0.445535i
$721$	6.87404	−	7.84616i	0.256003	−	0.292206i
$722$	−5.42249	−	2.61063i	−0.201804	−	0.0971577i
$723$	7.60055	−	9.98425i	0.282668	−	0.371318i
$724$	17.5589	+	6.88708i	0.652570	+	0.255956i
$725$	1.25421	+	0.724116i	0.0465800	+	0.0268930i
$726$	0.885432	−	16.9595i	0.0328615	−	0.629428i
$727$	−0.376528	+	0.652165i	−0.0139646	+	0.0241875i	−0.872923	−	0.487858i	$-0.837779\pi$
$727$	−0.376528	+	0.652165i	−0.0139646	+	0.0241875i	0.858959	+	0.512045i	$0.171112\pi$
$728$	43.1192	−	1.24475i	1.59811	−	0.0461334i
$729$	19.5259	+	18.6477i	0.723182	+	0.690657i
$730$	10.0866	−	20.9507i	0.373323	−	0.775421i
$731$		−	5.16685i		−	0.191103i
$732$	−38.3346	−	20.9849i	−1.41689	−	0.775623i
$733$			15.3329i			0.566335i	0.959070	+	0.283168i	$0.0913852\pi$
$733$			15.3329i			0.566335i	−0.959070	+	0.283168i	$0.908615\pi$
$734$	21.5094	−	14.6681i	0.793925	−	0.541411i
$735$	13.0165	−	22.7984i	0.480120	−	0.840930i
$736$	−11.5556	−	1.73551i	−0.425945	−	0.0639718i
$737$	32.4425	−	56.1920i	1.19503	−	2.06986i
$738$	−9.08560	+	50.1492i	−0.334445	+	1.84602i
$739$	−31.4237	+	18.1425i	−1.15594	+	0.667382i	−0.950327	−	0.311252i	$-0.899252\pi$
$739$	−31.4237	+	18.1425i	−1.15594	+	0.667382i	−0.205612	+	0.978634i	$0.565918\pi$
$740$	3.20271	+	4.01434i	0.117734	+	0.147570i
$741$	29.1642	−	38.3108i	1.07137	−	1.40738i
$742$	9.59243	+	22.5217i	0.352149	+	0.826799i
$743$	6.97738	+	12.0852i	0.255975	+	0.443362i	0.965160	−	0.261661i	$-0.0842701\pi$
$743$	6.97738	+	12.0852i	0.255975	+	0.443362i	−0.709185	+	0.705023i	$0.750937\pi$
$744$	−21.0393	+	15.0598i	−0.771337	+	0.552119i
$745$	−17.5962			−0.644675
$746$	1.02590	+	1.50438i	0.0375610	+	0.0550794i
$747$	−1.39900	+	5.38600i	−0.0511869	+	0.197063i
$748$	−1.43414	−	9.50133i	−0.0524373	−	0.347403i
$749$	0.760104	−	0.258439i	0.0277736	−	0.00944317i
$750$	−28.1334	−	1.46880i	−1.02729	−	0.0536331i
$751$	−9.63303			−0.351514			−0.175757	−	0.984434i	$-0.556237\pi$
$751$	−9.63303			−0.351514			−0.175757	+	0.984434i	$0.556237\pi$
$752$	−4.37440	+	19.2027i	−0.159518	+	0.700252i
$753$	−21.2302	−	16.1616i	−0.773672	−	0.588961i
$754$	31.3026	−	21.3465i	1.13997	−	0.777395i
$755$		−	27.3647i		−	0.995902i
$756$	−2.64522	−	27.3679i	−0.0962057	−	0.995361i
$757$		−	4.76447i		−	0.173168i	−0.996245	−	0.0865839i	$-0.972405\pi$
$757$		−	4.76447i		−	0.173168i	0.996245	−	0.0865839i	$-0.0275951\pi$
$758$	−4.51448	−	6.62003i	−0.163973	−	0.240450i
$759$	−12.0556	−	9.17738i	−0.437591	−	0.333118i
$760$	28.2245	+	8.69635i	1.02381	+	0.315450i
$761$	−33.1558			−1.20190			−0.600948	−	0.799288i	$-0.705210\pi$
$761$	−33.1558			−1.20190			−0.600948	+	0.799288i	$0.705210\pi$
$762$	−2.23214	+	42.7543i	−0.0808619	+	1.54883i
$763$	−8.51789	+	42.9331i	−0.308368	+	1.55428i
$764$	19.0730	−	2.87890i	0.690039	−	0.104155i
$765$	−5.25098	−	5.17108i	−0.189850	−	0.186961i
$766$	12.6150	−	8.60268i	0.455797	−	0.310827i
$767$	−22.7772			−0.822439
$768$	23.2560	+	15.0717i	0.839180	+	0.543854i
$769$	18.5228	+	32.0825i	0.667951	+	1.15692i	0.978476	+	0.206359i	$0.0661616\pi$
$769$	18.5228	+	32.0825i	0.667951	+	1.15692i	−0.310526	+	0.950565i	$0.600505\pi$
$770$	−4.13954	+	34.0580i	−0.149179	+	1.22737i
$771$	−8.54538	+	11.2254i	−0.307754	+	0.404273i
$772$	−24.6293	−	30.8709i	−0.886428	−	1.11107i
$773$	3.36371	−	1.94204i	0.120984	−	0.0698503i	−0.438287	−	0.898835i	$-0.644415\pi$
$773$	3.36371	−	1.94204i	0.120984	−	0.0698503i	0.559271	+	0.828985i	$0.311081\pi$
$774$	6.52308	+	18.1872i	0.234467	+	0.653726i
$775$	−0.822865	+	1.42524i	−0.0295582	+	0.0511963i
$776$	3.69660	+	1.13897i	0.132700	+	0.0408868i
$777$	−1.72450	+	5.15339i	−0.0618662	+	0.184877i
$778$	4.36301	+	6.39791i	0.156421	+	0.229376i
$779$		−	57.9300i		−	2.07556i
$780$	−20.7616	+	37.9267i	−0.743384	+	1.35800i
$781$			26.8216i			0.959752i
$782$	−2.98625	−	1.43771i	−0.106788	−	0.0514126i
$783$	−14.9209	−	18.9890i	−0.533228	−	0.678612i
$784$	−16.1706	+	22.8585i	−0.577522	+	0.816375i
$785$	17.1347	−	29.6782i	0.611565	−	1.05926i
$786$	32.7802	+	1.71141i	1.16923	+	0.0610439i
$787$	6.23576	+	3.60022i	0.222281	+	0.128334i	0.607006	−	0.794697i	$-0.292370\pi$
$787$	6.23576	+	3.60022i	0.222281	+	0.128334i	−0.384725	+	0.923031i	$0.625704\pi$
$788$	−19.8812	−	7.79797i	−0.708239	−	0.277791i
$789$	−0.857708	+	1.12670i	−0.0305352	+	0.0401117i
$790$	6.32029	−	13.1278i	0.224866	−	0.467065i
$791$	−37.5982	−	7.45944i	−1.33684	−	0.265227i
$792$	17.0435	+	31.6339i	0.605613	+	1.12406i
$793$	−36.3617	+	62.9802i	−1.29124	+	2.23649i
$794$	23.3877	−	1.75514i	0.830000	−	0.0622877i
$795$	−24.3386	−	3.10936i	−0.863200	−	0.110278i
$796$	−30.8145	+	4.65117i	−1.09219	+	0.164856i
$797$	−9.53986	+	5.50784i	−0.337919	+	0.195098i	−0.659352	−	0.751835i	$-0.729169\pi$
$797$	−9.53986	+	5.50784i	−0.337919	+	0.195098i	0.321432	+	0.946933i	$0.395836\pi$
$798$	8.50408	+	30.0734i	0.301041	+	1.06459i
$799$	−2.79304	+	4.83769i	−0.0988106	+	0.171145i
$800$	1.74316	+	0.261801i	0.0616300	+	0.00925607i
$801$	14.3046	+	3.71560i	0.505428	+	0.131284i
$802$	−35.9173	+	24.4935i	−1.26828	+	0.864896i
$803$	−27.8483	+	16.0782i	−0.982745	+	0.567388i
$804$	1.20707	+	53.0633i	0.0425702	+	1.87140i
$805$	8.90094	+	7.79814i	0.313717	+	0.274848i
$806$	24.2576	+	35.5713i	0.854438	+	1.25295i
$807$	2.36528	−	18.5142i	0.0832617	−	0.651732i
$808$	1.60329	−	0.366473i	0.0564035	−	0.0128925i
$809$	−19.0360	−	32.9713i	−0.669269	−	1.15921i	−0.978109	−	0.208094i	$-0.933274\pi$
$809$	−19.0360	−	32.9713i	−0.669269	−	1.15921i	0.308839	−	0.951114i	$-0.400059\pi$
$810$	25.0118	+	11.5728i	0.878825	+	0.406627i
$811$		−	43.8107i		−	1.53840i	−0.639007	−	0.769201i	$-0.720655\pi$
$811$		−	43.8107i		−	1.53840i	0.639007	−	0.769201i	$-0.279345\pi$
$812$	−1.13200	+	24.5669i	−0.0397253	+	0.862130i
$813$	13.3115	+	31.7915i	0.466855	+	1.11498i
$814$	−0.531471	−	7.08199i	−0.0186280	−	0.248224i
$815$	−2.03164	+	3.51891i	−0.0711653	+	0.123262i
$816$	5.04057	+	6.03132i	0.176455	+	0.211138i
$817$	−10.9810	−	19.0196i	−0.384176	−	0.665412i
$818$	1.41916	+	18.9107i	0.0496198	+	0.661196i
$819$	−45.6300	+	3.36494i	−1.59444	+	0.117581i
$820$	7.76422	+	51.4388i	0.271138	+	1.79632i
$821$	13.7455	−	7.93598i	0.479722	−	0.276968i	−0.240579	−	0.970630i	$-0.577337\pi$
$821$	13.7455	−	7.93598i	0.479722	−	0.276968i	0.720301	+	0.693662i	$0.244004\pi$
$822$	−1.42820	+	27.3556i	−0.0498141	+	0.954137i
$823$	−12.2581	+	21.2317i	−0.427292	+	0.740091i	−0.996631	−	0.0820112i	$-0.973866\pi$
$823$	−12.2581	+	21.2317i	−0.427292	+	0.740091i	0.569339	+	0.822103i	$0.307199\pi$
$824$	−2.48491	−	10.8713i	−0.0865659	−	0.378719i
$825$	1.81858	+	1.38441i	0.0633150	+	0.0481988i
$826$	8.88311	−	11.8183i	0.309083	−	0.411212i
$827$		−	6.72973i		−	0.234016i	−0.993131	−	0.117008i	$-0.962670\pi$
$827$		−	6.72973i		−	0.234016i	0.993131	−	0.117008i	$-0.0373303\pi$
$828$	12.3266	+	1.29063i	0.428381	+	0.0448525i
$829$	38.7775	−	22.3882i	1.34680	−	0.777574i	0.359003	−	0.933336i	$-0.383117\pi$
$829$	38.7775	−	22.3882i	1.34680	−	0.777574i	0.987795	+	0.155763i	$0.0497835\pi$
$830$	0.425064	+	5.66409i	0.0147542	+	0.196603i
$831$	39.8727	+	30.3533i	1.38317	+	1.05294i
$832$	25.9538	−	38.1189i	0.899786	−	1.32153i
$833$	−6.29583	+	4.84085i	−0.218138	+	0.167726i
$834$	−4.66922	−	9.15935i	−0.161682	−	0.317162i
$835$	15.8708	−	9.16301i	0.549232	−	0.317099i
$836$	−25.4721	−	31.9272i	−0.880971	−	1.10423i
$837$	21.5786	−	16.9556i	0.745865	−	0.586073i
$838$	−7.27052	+	15.1015i	−0.251156	+	0.521671i
$839$	13.0613	−	22.6229i	0.450927	−	0.781028i	−0.547517	−	0.836795i	$-0.684427\pi$
$839$	13.0613	−	22.6229i	0.450927	−	0.781028i	0.998444	+	0.0557664i	$0.0177602\pi$
$840$	−11.5819	−	25.5639i	−0.399612	−	0.882037i
$841$	−3.69972	−	6.40811i	−0.127577	−	0.220969i
$842$	−2.95668	+	0.221886i	−0.101894	+	0.00764668i
$843$	13.3780	+	31.9503i	0.460761	+	1.10043i
$844$	−3.66912	−	24.3083i	−0.126296	−	0.836728i
$845$	37.9328	+	21.9005i	1.30493	+	0.753401i
$846$	3.72393	−	20.5548i	0.128031	−	0.706687i
$847$	12.0878	−	13.7972i	0.415341	−	0.474078i
$848$	25.5160	+	5.81256i	0.876222	+	0.199604i
$849$	5.74335	−	2.40481i	0.197111	−	0.0825329i
$850$	0.450475	+	0.216879i	0.0154512	+	0.00743888i
$851$	−2.12140	−	1.22479i	−0.0727208	−	0.0419854i
$852$	−11.3995	−	18.7466i	−0.390542	−	0.642250i
$853$	−15.5646	−	8.98622i	−0.532921	−	0.307682i	0.209284	−	0.977855i	$-0.432887\pi$
$853$	−15.5646	−	8.98622i	−0.532921	−	0.307682i	−0.742205	+	0.670173i	$0.766220\pi$
$854$	−18.4972	−	43.4290i	−0.632962	−	1.48611i
$855$	−30.3193	−	7.87538i	−1.03690	−	0.269332i
$856$	0.252721	−	0.820220i	0.00863782	−	0.0280345i
$857$	−21.0895			−0.720405			−0.360202	−	0.932874i	$-0.617292\pi$
$857$	−21.0895			−0.720405			−0.360202	+	0.932874i	$0.617292\pi$
$858$	53.2719	−	27.1567i	1.81867	−	0.927116i
$859$		−	6.60836i		−	0.225474i	−0.993625	−	0.112737i	$-0.964038\pi$
$859$		−	6.60836i		−	0.225474i	0.993625	−	0.112737i	$-0.0359618\pi$
$860$	12.2997	+	15.4167i	0.419416	+	0.525703i
$861$	−41.2306	+	36.4752i	−1.40514	+	1.24307i
$862$	−9.94518	−	4.78806i	−0.338734	−	0.163082i
$863$	8.15000	−	14.1162i	0.277429	−	0.480521i	−0.693316	−	0.720634i	$-0.743851\pi$
$863$	8.15000	−	14.1162i	0.277429	−	0.480521i	0.970745	+	0.240112i	$0.0771843\pi$
$864$	−25.3572	−	14.8665i	−0.862669	−	0.505768i
$865$	−24.0225	−	41.6082i	−0.816791	−	1.41472i
$866$	−27.4031	+	18.6873i	−0.931195	+	0.635021i
$867$	−10.5112	−	25.1037i	−0.356979	−	0.852565i
$868$	−27.9172	−	1.28637i	−0.947570	−	0.0436622i
$869$	−17.4498	+	10.0746i	−0.591944	+	0.341759i
$870$	−20.6761	−	13.4213i	−0.700984	−	0.455026i
$871$	88.3231			2.99271
$872$	31.8375	+	34.2909i	1.07815	+	1.16124i
$873$	−3.97096	−	1.03145i	−0.134397	−	0.0349093i
$874$	−14.0482	+	1.05425i	−0.475186	+	0.0356606i
$875$	−22.8876	−	20.0519i	−0.773742	−	0.677878i
$876$	12.6308	−	23.0736i	0.426755	−	0.779585i
$877$			21.7099i			0.733090i	0.930400	+	0.366545i	$0.119459\pi$
$877$			21.7099i			0.733090i	−0.930400	+	0.366545i	$0.880541\pi$
$878$	−34.4477	−	16.5847i	−1.16255	−	0.559705i
$879$	2.39666	−	18.7599i	0.0808373	−	0.632755i
$880$	26.8970	+	24.9357i	0.906699	+	0.840584i
$881$	−57.6386			−1.94189			−0.970946	−	0.239298i	$-0.923083\pi$
$881$	−57.6386			−1.94189			−0.970946	+	0.239298i	$0.923083\pi$
$882$	16.0497	−	24.9881i	0.540422	−	0.841394i
$883$			17.0446i			0.573598i	0.957991	+	0.286799i	$0.0925911\pi$
$883$			17.0446i			0.573598i	−0.957991	+	0.286799i	$0.907409\pi$
$884$	10.2246	−	8.15736i	0.343890	−	0.274362i
$885$	5.72339	+	13.6690i	0.192390	+	0.459480i
$886$	−12.9431	+	26.8839i	−0.434833	+	0.903182i
$887$	−14.9052			−0.500469			−0.250234	−	0.968185i	$-0.580508\pi$
$887$	−14.9052			−0.500469			−0.250234	+	0.968185i	$0.580508\pi$
$888$	3.38141	+	4.72399i	0.113473	+	0.158527i
$889$	−30.4729	+	34.7823i	−1.02203	+	1.16656i
$890$	15.0432	−	1.12892i	0.504249	−	0.0378416i
$891$	−19.5603	−	32.7106i	−0.655293	−	1.09584i
$892$	8.64255	+	10.8327i	0.289374	+	0.362707i
$893$			23.7439i			0.794559i
$894$	−19.8789	−	1.03785i	−0.664849	−	0.0347108i
$895$	−16.2675	−	28.1761i	−0.543761	−	0.941822i
$896$	9.65660	+	28.3328i	0.322604	+	0.946534i
$897$	2.61361	−	20.4581i	0.0872659	−	0.683075i
$898$	−22.1700	+	15.1187i	−0.739822	+	0.504516i
$899$	−21.2577	+	12.2731i	−0.708983	+	0.409332i
$900$	−1.85947	−	0.194691i	−0.0619824	−	0.00648970i
$901$	6.42816	+	3.71130i	0.214153	+	0.123641i
$902$	31.2077	−	64.8209i	1.03910	−	2.15830i
$903$	−6.62278	+	19.7910i	−0.220392	+	0.658605i
$904$	−30.0299	+	27.8813i	−0.998779	+	0.927318i
$905$	−20.4198			−0.678777
$906$	1.61400	−	30.9145i	0.0536216	−	1.02707i
$907$		−	44.0300i		−	1.46199i	−0.682382	−	0.730996i	$-0.739056\pi$
$907$		−	44.0300i		−	1.46199i	0.682382	−	0.730996i	$-0.260944\pi$
$908$	52.3973	+	20.5517i	1.73887	+	0.682033i
$909$	−1.68145	+	0.464390i	−0.0557703	+	0.0154028i
$910$	−42.9669	+	18.3004i	−1.42434	+	0.606653i
$911$	1.94914	−	3.37601i	0.0645779	−	0.111852i	−0.831929	−	0.554882i	$-0.812763\pi$
$911$	1.94914	−	3.37601i	0.0645779	−	0.111852i	0.896507	+	0.443030i	$0.146097\pi$
$912$	31.3730	+	11.4892i	1.03886	+	0.380445i
$913$	3.92754	−	6.80270i	0.129983	−	0.225136i
$914$	8.86345	+	4.26727i	0.293177	+	0.141149i
$915$	46.9324	+	5.99583i	1.55154	+	0.198216i
$916$	−26.0285	−	10.2091i	−0.860006	−	0.337319i
$917$	26.6680	+	23.3639i	0.880654	+	0.771544i
$918$	−5.62717	−	6.15160i	−0.185724	−	0.203033i
$919$	−0.00629926	+	0.0109106i	−0.000207793	+	0.000359909i	−0.866129	−	0.499820i	$-0.833399\pi$
$919$	−0.00629926	+	0.0109106i	−0.000207793	+	0.000359909i	0.865921	+	0.500180i	$0.166733\pi$
$920$	12.3327	−	2.81896i	0.406598	−	0.0929384i
$921$	24.1235	+	18.3641i	0.794897	+	0.605118i
$922$	−54.5681	+	4.09509i	−1.79710	+	0.134865i
$923$	−31.6188	+	18.2551i	−1.04074	+	0.600874i
$924$	−6.68533	+	38.2320i	−0.219931	+	1.25774i
$925$	0.320013	+	0.184760i	0.0105220	+	0.00607486i
$926$	−18.0581	−	8.69399i	−0.593427	−	0.285702i
$927$	3.14885	+	11.4013i	0.103422	+	0.374467i
$928$	20.5638	+	16.3814i	0.675039	+	0.537745i
$929$	−3.52836	−	6.11130i	−0.115762	−	0.200505i	0.802322	−	0.596891i	$-0.203598\pi$
$929$	−3.52836	−	6.11130i	−0.115762	−	0.200505i	−0.918084	+	0.396386i	$0.870264\pi$
$930$	15.2516	−	23.4957i	0.500121	−	0.770454i
$931$	−12.8873	+	31.1999i	−0.422366	+	1.02254i
$932$	13.1965	+	16.5408i	0.432266	+	0.541810i
$933$	−1.10823	−	2.64676i	−0.0362818	−	0.0866510i
$934$	−31.1394	+	2.33687i	−1.01891	+	0.0764648i
$935$	5.20149	+	9.00925i	0.170107	+	0.294634i
$936$	−25.6918	+	41.6222i	−0.839764	+	1.36046i
$937$	−33.3677			−1.09007			−0.545037	−	0.838412i	$-0.683484\pi$
$937$	−33.3677			−1.09007			−0.545037	+	0.838412i	$0.683484\pi$
$938$	−34.4459	+	45.8277i	−1.12470	+	1.49633i
$939$	37.9193	+	4.84436i	1.23745	+	0.158090i
$940$	−3.18234	−	21.0833i	−0.103796	−	0.687663i
$941$	−3.99452	−	2.30624i	−0.130218	−	0.0751812i	0.433476	−	0.901165i	$-0.357287\pi$
$941$	−3.99452	−	2.30624i	−0.130218	−	0.0751812i	−0.563694	+	0.825984i	$0.690620\pi$
$942$	21.1080	−	32.5176i	0.687735	−	1.05948i
$943$	−12.4071	−	21.4898i	−0.404032	−	0.699804i
$944$	−4.66506	−	15.1012i	−0.151835	−	0.491501i
$945$	13.4851	+	26.5379i	0.438671	+	0.863277i
$946$	−2.04106	−	27.1976i	−0.0663606	−	0.884272i
$947$	30.9829	−	17.8880i	1.00681	−	0.581281i	0.0965530	−	0.995328i	$-0.469218\pi$
$947$	30.9829	−	17.8880i	1.00681	−	0.581281i	0.910256	+	0.414047i	$0.135885\pi$
$948$	7.91448	−	14.4580i	0.257050	−	0.469573i
$949$	−37.9078	−	21.8861i	−1.23054	−	0.710452i
$950$	2.11916	−	0.159033i	0.0687547	−	0.00515973i
$951$	0.608347	−	4.76185i	0.0197270	−	0.154413i
$952$	0.244986	+	8.48655i	0.00794005	+	0.275051i
$953$	−32.1070			−1.04005			−0.520024	−	0.854152i	$-0.674077\pi$
$953$	−32.1070			−1.04005			−0.520024	+	0.854152i	$0.674077\pi$
$954$	−27.3125	−	4.94824i	−0.884274	−	0.160205i
$955$	−18.0853	+	10.4415i	−0.585225	+	0.337880i
$956$	−18.4447	+	2.78407i	−0.596546	+	0.0900432i
$957$	13.1661	+	31.4444i	0.425601	+	1.01645i
$958$	15.2218	−	10.3804i	0.491793	−	0.335375i
$959$	−19.4975	+	22.2548i	−0.629608	+	0.718646i
$960$	−29.3974	−	5.99695i	−0.948798	−	0.193551i
$961$	1.55316	+	2.69016i	0.0501021	+	0.0867793i
$962$	7.98691	−	5.44662i	0.257508	−	0.175606i
$963$	−0.228863	+	0.881095i	−0.00737501	+	0.0283929i
$964$	5.29068	−	13.4888i	0.170401	−	0.434444i
$965$	37.0272	+	21.3777i	1.19195	+	0.688172i
$966$	9.59566	+	9.33473i	0.308735	+	0.300340i
$967$	−28.3447	−	49.0945i	−0.911506	−	1.57877i	−0.811938	−	0.583743i	$-0.801588\pi$
$967$	−28.3447	−	49.0945i	−0.911506	−	1.57877i	−0.0995671	−	0.995031i	$-0.531746\pi$
$968$	−4.36964	−	19.1168i	−0.140445	−	0.614438i
$969$	7.54016	+	5.73998i	0.242225	+	0.184395i
$970$	−4.17599	+	0.313389i	−0.134083	+	0.0100623i
$971$	−30.5062	−	17.6128i	−0.978991	−	0.565221i	−0.0770258	−	0.997029i	$-0.524542\pi$
$971$	−30.5062	−	17.6128i	−0.978991	−	0.565221i	−0.901965	+	0.431808i	$0.857876\pi$
$972$	27.5739	+	14.5493i	0.884432	+	0.466669i
$973$	2.16101	−	10.8923i	0.0692788	−	0.349190i
$974$	33.5432	+	16.1492i	1.07479	+	0.517454i
$975$	−0.394262	+	3.08609i	−0.0126265	+	0.0988340i
$976$	−49.2028	−	11.2084i	−1.57494	−	0.358773i
$977$	9.55954	−	16.5576i	0.305837	−	0.529725i	−0.671610	−	0.740904i	$-0.734397\pi$
$977$	9.55954	−	16.5576i	0.305837	−	0.529725i	0.977447	+	0.211179i	$0.0677305\pi$
$978$	−2.50274	+	3.85557i	−0.0800289	+	0.123287i
$979$	−18.0672	−	10.4311i	−0.577430	−	0.333380i
$980$	7.26163	−	29.4312i	0.231964	−	0.940144i
$981$	−35.3621	−	34.8239i	−1.12902	−	1.11184i
$982$	17.9048	−	37.1897i	0.571365	−	1.18677i
$983$	16.2403			0.517986			0.258993	−	0.965879i	$-0.416609\pi$
$983$	16.2403			0.517986			0.258993	+	0.965879i	$0.416609\pi$
$984$	5.73751	+	58.5696i	0.182905	+	1.86713i
$985$	23.1206			0.736682
$986$	4.20134	+	6.16084i	0.133798	+	0.196201i
$987$	16.8993	−	14.9502i	0.537910	−	0.475869i
$988$	20.3010	−	51.7580i	0.645859	−	1.64664i
$989$	−8.14704	−	4.70369i	−0.259061	−	0.149569i
$990$	−29.6833	−	25.1456i	−0.943396	−	0.799180i
$991$	20.4775	+	35.4680i	0.650488	+	1.12668i	0.983005	+	0.183580i	$0.0587688\pi$
$991$	20.4775	+	35.4680i	0.650488	+	1.12668i	−0.332517	+	0.943097i	$0.607898\pi$
$992$	−18.6153	+	23.3681i	−0.591037	+	0.741937i
$993$	5.37432	−	42.0675i	0.170549	−	1.33497i
$994$	2.85936	−	23.5253i	0.0906933	−	0.746178i
$995$	29.2186	−	16.8694i	0.926292	−	0.534795i
$996$	0.146130	+	6.42393i	0.00463031	+	0.203550i
$997$			5.39396i			0.170828i	0.996346	+	0.0854142i	$0.0272214\pi$
$997$			5.39396i			0.170828i	−0.996346	+	0.0854142i	$0.972779\pi$
$998$	−25.0424	−	36.7222i	−0.792703	−	1.16242i
$999$	−3.80709	−	4.84509i	−0.120451	−	0.153292i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.w.a.205.18	✓	184
7.4	even	3		504.2.cq.a.277.45	yes	184
8.5	even	2	inner	504.2.w.a.205.79	yes	184
9.4	even	3		504.2.cq.a.373.45	yes	184
56.53	even	6		504.2.cq.a.277.46	yes	184
63.4	even	3	inner	504.2.w.a.445.79	yes	184
72.13	even	6		504.2.cq.a.373.46	yes	184
504.445	even	6	inner	504.2.w.a.445.18	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.18	✓	184	1.1	even	1	trivial
504.2.w.a.205.79	yes	184	8.5	even	2	inner
504.2.w.a.445.18	yes	184	504.445	even	6	inner
504.2.w.a.445.79	yes	184	63.4	even	3	inner
504.2.cq.a.277.45	yes	184	7.4	even	3
504.2.cq.a.277.46	yes	184	56.53	even	6
504.2.cq.a.373.45	yes	184	9.4	even	3
504.2.cq.a.373.46	yes	184	72.13	even	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-1.16839 + 0.796778i) q^{2} +(1.04913 - 1.37816i) q^{3} +(0.730290 - 1.86190i) q^{4} +2.16527i q^{5} +(-0.127710 + 2.44616i) q^{6} +(-1.74348 + 1.99004i) q^{7} +(0.630255 + 2.75731i) q^{8} +(-0.798651 - 2.89174i) q^{9} +O(q^{10})\)	\(q+(-1.16839 + 0.796778i) q^{2} +(1.04913 - 1.37816i) q^{3} +(0.730290 - 1.86190i) q^{4} +2.16527i q^{5} +(-0.127710 + 2.44616i) q^{6} +(-1.74348 + 1.99004i) q^{7} +(0.630255 + 2.75731i) q^{8} +(-0.798651 - 2.89174i) q^{9} +(-1.72524 - 2.52989i) q^{10} +4.23475i q^{11} +(-1.79983 - 2.95983i) q^{12} +(-4.99216 + 2.88223i) q^{13} +(0.451453 - 3.71432i) q^{14} +(2.98409 + 2.27165i) q^{15} +(-2.93335 - 2.71946i) q^{16} +(-0.567268 - 0.982536i) q^{17} +(3.23721 + 2.74234i) q^{18} +(-4.17632 - 2.41120i) q^{19} +(4.03152 + 1.58128i) q^{20} +(0.913458 + 4.49061i) q^{21} +(-3.37416 - 4.94786i) q^{22} -2.06567 q^{23} +(4.46124 + 2.02419i) q^{24} +0.311606 q^{25} +(3.53632 - 7.34522i) q^{26} +(-4.82317 - 1.93314i) q^{27} +(2.43201 + 4.69950i) q^{28} +(4.02497 + 2.32382i) q^{29} +(-5.29659 - 0.276527i) q^{30} +(-2.64072 + 4.57387i) q^{31} +(5.59411 + 0.840168i) q^{32} +(5.83617 + 4.44281i) q^{33} +(1.44566 + 0.696004i) q^{34} +(-4.30898 - 3.77511i) q^{35} +(-5.96738 - 0.624799i) q^{36} +(1.02698 + 0.592927i) q^{37} +(6.80078 - 0.510367i) q^{38} +(-1.26526 + 9.90383i) q^{39} +(-5.97033 + 1.36467i) q^{40} +(6.00635 + 10.4033i) q^{41} +(-4.64530 - 4.51898i) q^{42} +(3.94401 + 2.27708i) q^{43} +(7.88469 + 3.09260i) q^{44} +(6.26140 - 1.72930i) q^{45} +(2.41352 - 1.64588i) q^{46} +(-2.46184 - 4.26402i) q^{47} +(-6.82532 + 1.18956i) q^{48} +(-0.920540 - 6.93921i) q^{49} +(-0.364079 + 0.248281i) q^{50} +(-1.94923 - 0.249023i) q^{51} +(1.72069 + 11.3998i) q^{52} +(-5.66589 + 3.27121i) q^{53} +(7.17565 - 1.58432i) q^{54} -9.16938 q^{55} +(-6.58601 - 3.55309i) q^{56} +(-7.70452 + 3.22597i) q^{57} +(-6.55432 + 0.491872i) q^{58} +(3.42195 + 1.97567i) q^{59} +(6.40884 - 3.89711i) q^{60} +(10.9256 - 6.30791i) q^{61} +(-0.558950 - 7.44815i) q^{62} +(7.14712 + 3.45235i) q^{63} +(-7.20556 + 3.47562i) q^{64} +(-6.24080 - 10.8094i) q^{65} +(-10.3589 - 0.540822i) q^{66} +(-13.2693 - 7.66101i) q^{67} +(-2.24366 + 0.338660i) q^{68} +(-2.16716 + 2.84683i) q^{69} +(8.04251 + 0.977517i) q^{70} +6.33368 q^{71} +(7.47008 - 4.02466i) q^{72} +(3.79673 + 6.57614i) q^{73} +(-1.67235 + 0.125502i) q^{74} +(0.326915 - 0.429443i) q^{75} +(-7.53934 + 6.01502i) q^{76} +(-8.42734 - 7.38322i) q^{77} +(-6.41283 - 12.5797i) q^{78} +(2.37904 + 4.12062i) q^{79} +(5.88836 - 6.35150i) q^{80} +(-7.72431 + 4.61898i) q^{81} +(-15.3069 - 7.36943i) q^{82} +(-1.60640 - 0.927454i) q^{83} +(9.02816 + 1.57868i) q^{84} +(2.12746 - 1.22829i) q^{85} +(-6.42249 + 0.481978i) q^{86} +(7.42532 - 3.10907i) q^{87} +(-11.6765 + 2.66897i) q^{88} +(-2.46321 + 4.26641i) q^{89} +(-5.93791 + 7.00944i) q^{90} +(2.96799 - 14.9597i) q^{91} +(-1.50854 + 3.84608i) q^{92} +(3.53306 + 8.43792i) q^{93} +(6.27387 + 3.02053i) q^{94} +(5.22090 - 9.04286i) q^{95} +(7.02684 - 6.82814i) q^{96} +(0.683789 - 1.18436i) q^{97} +(6.60456 + 7.37427i) q^{98} +(12.2458 - 3.38209i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

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