LMFDB - Embedded newform 170.2.r.b.23.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(23,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([12, 15]))

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

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

chi := DirichletCharacter("170.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			23.3
Character	$\chi$	$=$	170.23
Dual form			170.2.r.b.37.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.923880 - 0.382683i) q^{2} +(-0.432293 - 0.288849i) q^{3} +(0.707107 - 0.707107i) q^{4} +(0.601626 + 2.15361i) q^{5} +(-0.509925 - 0.101430i) q^{6} +(3.10821 + 0.618262i) q^{7} +(0.382683 - 0.923880i) q^{8} +(-1.04461 - 2.52190i) q^{9} +O(q^{10})$	\(q+(0.923880 - 0.382683i) q^{2} +(-0.432293 - 0.288849i) q^{3} +(0.707107 - 0.707107i) q^{4} +(0.601626 + 2.15361i) q^{5} +(-0.509925 - 0.101430i) q^{6} +(3.10821 + 0.618262i) q^{7} +(0.382683 - 0.923880i) q^{8} +(-1.04461 - 2.52190i) q^{9} +(1.37998 + 1.75945i) q^{10} +(0.0548902 - 0.275952i) q^{11} +(-0.509925 + 0.101430i) q^{12} -1.43214 q^{13} +(3.10821 - 0.618262i) q^{14} +(0.361990 - 1.10477i) q^{15} -1.00000i q^{16} +(-0.813030 - 4.04215i) q^{17} +(-1.93018 - 1.93018i) q^{18} +(-3.00084 + 7.24466i) q^{19} +(1.94825 + 1.09742i) q^{20} +(-1.16507 - 1.16507i) q^{21} +(-0.0548902 - 0.275952i) q^{22} +(-2.71731 - 4.06674i) q^{23} +(-0.432293 + 0.288849i) q^{24} +(-4.27609 + 2.59134i) q^{25} +(-1.32312 + 0.548056i) q^{26} +(-0.581164 + 2.92171i) q^{27} +(2.63501 - 1.76066i) q^{28} +(-2.28819 + 3.42452i) q^{29} +(-0.0883423 - 1.15920i) q^{30} +(1.68579 + 8.47506i) q^{31} +(-0.382683 - 0.923880i) q^{32} +(-0.103437 + 0.103437i) q^{33} +(-2.29801 - 3.42333i) q^{34} +(0.538484 + 7.06585i) q^{35} +(-2.52190 - 1.04461i) q^{36} +(4.87479 - 7.29563i) q^{37} +7.84157i q^{38} +(0.619104 + 0.413672i) q^{39} +(2.21991 + 0.268322i) q^{40} +(-4.80047 - 7.18442i) q^{41} +(-1.52224 - 0.630534i) q^{42} +(-6.28878 - 2.60490i) q^{43} +(-0.156314 - 0.233941i) q^{44} +(4.80274 - 3.76692i) q^{45} +(-4.06674 - 2.71731i) q^{46} -2.58114i q^{47} +(-0.288849 + 0.432293i) q^{48} +(2.81157 + 1.16459i) q^{49} +(-2.95893 + 4.03047i) q^{50} +(-0.816104 + 1.98224i) q^{51} +(-1.01268 + 1.01268i) q^{52} +(1.55794 + 3.76121i) q^{53} +(0.581164 + 2.92171i) q^{54} +(0.627317 - 0.0478075i) q^{55} +(1.76066 - 2.63501i) q^{56} +(3.38986 - 2.26503i) q^{57} +(-0.803506 + 4.03950i) q^{58} +(0.245430 - 0.101660i) q^{59} +(-0.525225 - 1.03716i) q^{60} +(7.53074 - 5.03188i) q^{61} +(4.80074 + 7.18481i) q^{62} +(-1.68766 - 8.48445i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(-0.861613 - 3.08427i) q^{65} +(-0.0559798 + 0.135147i) q^{66} +(3.18004 + 3.18004i) q^{67} +(-3.43313 - 2.28333i) q^{68} +2.54292i q^{69} +(3.20148 + 6.32192i) q^{70} +(-5.40226 + 1.07458i) q^{71} -2.72969 q^{72} +(-2.68909 + 0.534893i) q^{73} +(1.71180 - 8.60578i) q^{74} +(2.59703 + 0.114928i) q^{75} +(3.00084 + 7.24466i) q^{76} +(0.341221 - 0.823780i) q^{77} +(0.730283 + 0.145262i) q^{78} +(10.5371 + 2.09596i) q^{79} +(2.15361 - 0.601626i) q^{80} +(-4.69538 + 4.69538i) q^{81} +(-7.18442 - 4.80047i) q^{82} +(10.1754 - 4.21479i) q^{83} -1.64766 q^{84} +(8.21609 - 4.18281i) q^{85} -6.80692 q^{86} +(1.97834 - 0.819455i) q^{87} +(-0.233941 - 0.156314i) q^{88} +(-5.32436 + 5.32436i) q^{89} +(2.99562 - 5.31811i) q^{90} +(-4.45139 - 0.885437i) q^{91} +(-4.79705 - 0.954192i) q^{92} +(1.71926 - 4.15065i) q^{93} +(-0.987761 - 2.38467i) q^{94} +(-17.4076 - 2.10406i) q^{95} +(-0.101430 + 0.509925i) q^{96} +(11.7862 - 2.34443i) q^{97} +3.04323 q^{98} +(-0.753263 + 0.149833i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) $ 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	0.923880	−	0.382683i	0.653281	−	0.270598i
$2$	0.923880	−	0.382683i	0.653281	−	0.270598i
$3$	−0.432293	−	0.288849i	−0.249585	−	0.166767i	0.424485	−	0.905435i	$-0.360455\pi$
$3$	−0.432293	−	0.288849i	−0.249585	−	0.166767i	−0.674070	+	0.738668i	$0.735455\pi$
$4$	0.707107	−	0.707107i	0.353553	−	0.353553i
$5$	0.601626	+	2.15361i	0.269055	+	0.963125i
$5$	0.601626	+	2.15361i	0.269055	+	0.963125i
$6$	−0.509925	−	0.101430i	−0.208176	−	0.0414087i
$7$	3.10821	+	0.618262i	1.17479	+	0.233681i	0.743629	−	0.668592i	$-0.233103\pi$
$7$	3.10821	+	0.618262i	1.17479	+	0.233681i	0.431164	+	0.902273i	$0.358103\pi$
$8$	0.382683	−	0.923880i	0.135299	−	0.326641i
$9$	−1.04461	−	2.52190i	−0.348202	−	0.840635i
$10$	1.37998	+	1.75945i	0.436389	+	0.556386i
$11$	0.0548902	−	0.275952i	0.0165500	−	0.0832026i	−0.971628	−	0.236516i	$-0.923994\pi$
$11$	0.0548902	−	0.275952i	0.0165500	−	0.0832026i	0.988178	+	0.153313i	$0.0489944\pi$
$12$	−0.509925	+	0.101430i	−0.147203	+	0.0292804i
$13$	−1.43214			−0.397204			−0.198602	−	0.980080i	$-0.563640\pi$
$13$	−1.43214			−0.397204			−0.198602	+	0.980080i	$0.563640\pi$
$14$	3.10821	−	0.618262i	0.830704	−	0.165237i
$15$	0.361990	−	1.10477i	0.0934655	−	0.285251i
$16$		−	1.00000i		−	0.250000i
$17$	−0.813030	−	4.04215i	−0.197189	−	0.980366i
$17$	−0.813030	−	4.04215i	−0.197189	−	0.980366i
$18$	−1.93018	−	1.93018i	−0.454948	−	0.454948i
$19$	−3.00084	+	7.24466i	−0.688439	+	1.66204i	0.0594624	+	0.998231i	$0.481061\pi$
$19$	−3.00084	+	7.24466i	−0.688439	+	1.66204i	−0.747902	+	0.663809i	$0.768939\pi$
$20$	1.94825	+	1.09742i	0.435641	+	0.245391i
$21$	−1.16507	−	1.16507i	−0.254240	−	0.254240i
$22$	−0.0548902	−	0.275952i	−0.0117026	−	0.0588331i
$23$	−2.71731	−	4.06674i	−0.566598	−	0.847974i	0.431947	−	0.901899i	$-0.357827\pi$
$23$	−2.71731	−	4.06674i	−0.566598	−	0.847974i	−0.998545	+	0.0539251i	$0.982827\pi$
$24$	−0.432293	+	0.288849i	−0.0882415	+	0.0589611i
$25$	−4.27609	+	2.59134i	−0.855219	+	0.518268i
$26$	−1.32312	+	0.548056i	−0.259486	+	0.107483i
$27$	−0.581164	+	2.92171i	−0.111845	+	0.562283i
$28$	2.63501	−	1.76066i	0.497971	−	0.332734i
$29$	−2.28819	+	3.42452i	−0.424906	+	0.635917i	−0.980727	−	0.195385i	$-0.937404\pi$
$29$	−2.28819	+	3.42452i	−0.424906	+	0.635917i	0.555820	+	0.831302i	$0.312404\pi$
$30$	−0.0883423	−	1.15920i	−0.0161290	−	0.211641i
$31$	1.68579	+	8.47506i	0.302778	+	1.52217i	0.770010	+	0.638032i	$0.220251\pi$
$31$	1.68579	+	8.47506i	0.302778	+	1.52217i	−0.467232	+	0.884135i	$0.654749\pi$
$32$	−0.382683	−	0.923880i	−0.0676495	−	0.163320i
$33$	−0.103437	+	0.103437i	−0.0180061	+	0.0180061i
$34$	−2.29801	−	3.42333i	−0.394105	−	0.587096i
$35$	0.538484	+	7.06585i	0.0910205	+	1.19435i
$36$	−2.52190	−	1.04461i	−0.420317	−	0.174101i
$37$	4.87479	−	7.29563i	0.801410	−	1.19939i	−0.175233	−	0.984527i	$-0.556068\pi$
$37$	4.87479	−	7.29563i	0.801410	−	1.19939i	0.976643	−	0.214868i	$-0.0689320\pi$
$38$			7.84157i			1.27207i
$39$	0.619104	+	0.413672i	0.0991360	+	0.0662406i
$40$	2.21991	+	0.268322i	0.350999	+	0.0424254i
$41$	−4.80047	−	7.18442i	−0.749708	−	1.12202i	−0.988540	−	0.150956i	$-0.951765\pi$
$41$	−4.80047	−	7.18442i	−0.749708	−	1.12202i	0.238833	−	0.971061i	$-0.423235\pi$
$42$	−1.52224	−	0.630534i	−0.234887	−	0.0972935i
$43$	−6.28878	−	2.60490i	−0.959029	−	0.397243i	−0.152412	−	0.988317i	$-0.548704\pi$
$43$	−6.28878	−	2.60490i	−0.959029	−	0.397243i	−0.806617	+	0.591074i	$0.798704\pi$
$44$	−0.156314	−	0.233941i	−0.0235653	−	0.0352679i
$45$	4.80274	−	3.76692i	0.715950	−	0.561539i
$46$	−4.06674	−	2.71731i	−0.599608	−	0.400645i
$47$		−	2.58114i		−	0.376499i	−0.982121	−	0.188249i	$-0.939719\pi$
$47$		−	2.58114i		−	0.376499i	0.982121	−	0.188249i	$-0.0602813\pi$
$48$	−0.288849	+	0.432293i	−0.0416918	+	0.0623961i
$49$	2.81157	+	1.16459i	0.401653	+	0.166370i
$50$	−2.95893	+	4.03047i	−0.418456	+	0.569995i
$51$	−0.816104	+	1.98224i	−0.114277	+	0.277569i
$52$	−1.01268	+	1.01268i	−0.140433	+	0.140433i
$53$	1.55794	+	3.76121i	0.214000	+	0.516641i	0.994031	−	0.109100i	$-0.0347967\pi$
$53$	1.55794	+	3.76121i	0.214000	+	0.516641i	−0.780031	+	0.625741i	$0.784797\pi$
$54$	0.581164	+	2.92171i	0.0790864	+	0.397594i
$55$	0.627317	−	0.0478075i	0.0845874	−	0.00644636i
$56$	1.76066	−	2.63501i	0.235278	−	0.352119i
$57$	3.38986	−	2.26503i	0.448997	−	0.300010i
$58$	−0.803506	+	4.03950i	−0.105505	+	0.530412i
$59$	0.245430	−	0.101660i	0.0319522	−	0.0132350i	−0.366650	−	0.930359i	$-0.619495\pi$
$59$	0.245430	−	0.101660i	0.0319522	−	0.0132350i	0.398602	+	0.917124i	$0.369495\pi$
$60$	−0.525225	−	1.03716i	−0.0678063	−	0.133896i
$61$	7.53074	−	5.03188i	0.964212	−	0.644266i	0.0294596	−	0.999566i	$-0.490621\pi$
$61$	7.53074	−	5.03188i	0.964212	−	0.644266i	0.934752	+	0.355300i	$0.115621\pi$
$62$	4.80074	+	7.18481i	0.609694	+	0.912472i
$63$	−1.68766	−	8.48445i	−0.212625	−	1.06894i
$64$	−0.707107	−	0.707107i	−0.0883883	−	0.0883883i
$65$	−0.861613	−	3.08427i	−0.106870	−	0.382557i
$66$	−0.0559798	+	0.135147i	−0.00689063	+	0.0166355i
$67$	3.18004	+	3.18004i	0.388504	+	0.388504i	0.874153	−	0.485650i	$-0.161417\pi$
$67$	3.18004	+	3.18004i	0.388504	+	0.388504i	−0.485650	+	0.874153i	$0.661417\pi$
$68$	−3.43313	−	2.28333i	−0.416328	−	0.276895i
$69$			2.54292i			0.306131i
$70$	3.20148	+	6.32192i	0.382650	+	0.755614i
$71$	−5.40226	+	1.07458i	−0.641131	+	0.127529i	−0.504941	−	0.863154i	$-0.668486\pi$
$71$	−5.40226	+	1.07458i	−0.641131	+	0.127529i	−0.136190	+	0.990683i	$0.543486\pi$
$72$	−2.72969			−0.321697
$73$	−2.68909	+	0.534893i	−0.314734	+	0.0626045i	−0.349930	−	0.936776i	$-0.613795\pi$
$73$	−2.68909	+	0.534893i	−0.314734	+	0.0626045i	0.0351958	+	0.999380i	$0.488795\pi$
$74$	1.71180	−	8.60578i	0.198992	−	1.00040i
$75$	2.59703	+	0.114928i	0.299879	+	0.0132707i
$76$	3.00084	+	7.24466i	0.344220	+	0.831020i
$77$	0.341221	−	0.823780i	0.0388857	−	0.0938785i
$78$	0.730283	+	0.145262i	0.0826883	+	0.0164477i
$79$	10.5371	+	2.09596i	1.18552	+	0.235814i	0.748188	−	0.663487i	$-0.230924\pi$
$79$	10.5371	+	2.09596i	1.18552	+	0.235814i	0.437330	+	0.899301i	$0.355924\pi$
$80$	2.15361	−	0.601626i	0.240781	−	0.0672638i
$81$	−4.69538	+	4.69538i	−0.521709	+	0.521709i
$82$	−7.18442	−	4.80047i	−0.793386	−	0.530124i
$83$	10.1754	−	4.21479i	1.11690	−	0.462633i	0.253589	−	0.967312i	$-0.418389\pi$
$83$	10.1754	−	4.21479i	1.11690	−	0.462633i	0.863307	+	0.504679i	$0.168389\pi$
$84$	−1.64766			−0.179775
$85$	8.21609	−	4.18281i	0.891160	−	0.453690i
$86$	−6.80692			−0.734009
$87$	1.97834	−	0.819455i	0.212100	−	0.0878547i
$88$	−0.233941	−	0.156314i	−0.0249382	−	0.0166631i
$89$	−5.32436	+	5.32436i	−0.564381	+	0.564381i	−0.930549	−	0.366168i	$-0.880670\pi$
$89$	−5.32436	+	5.32436i	−0.564381	+	0.564381i	0.366168	+	0.930549i	$0.380670\pi$
$90$	2.99562	−	5.31811i	0.315766	−	0.560578i
$91$	−4.45139	−	0.885437i	−0.466633	−	0.0928191i
$92$	−4.79705	−	0.954192i	−0.500127	−	0.0994814i
$93$	1.71926	−	4.15065i	0.178279	−	0.430403i
$94$	−0.987761	−	2.38467i	−0.101880	−	0.245960i
$95$	−17.4076	−	2.10406i	−1.78598	−	0.215872i
$96$	−0.101430	+	0.509925i	−0.0103522	+	0.0520440i
$97$	11.7862	−	2.34443i	1.19671	−	0.238040i	0.443777	−	0.896137i	$-0.353638\pi$
$97$	11.7862	−	2.34443i	1.19671	−	0.238040i	0.752933	+	0.658097i	$0.228638\pi$
$98$	3.04323			0.307412
$99$	−0.753263	+	0.149833i	−0.0757058	+	0.0150588i
$100$	−1.19130	+	4.85601i	−0.119130	+	0.485601i
$101$		−	0.552545i		−	0.0549803i	−0.999622	−	0.0274902i	$-0.991249\pi$
$101$		−	0.552545i		−	0.0549803i	0.999622	−	0.0274902i	$-0.00875149\pi$
$102$	0.00458741	+	2.14366i	0.000454222	+	0.212254i
$103$	6.78251	+	6.78251i	0.668300	+	0.668300i	0.957322	−	0.289022i	$-0.0933301\pi$
$103$	6.78251	+	6.78251i	0.668300	+	0.668300i	−0.289022	+	0.957322i	$0.593330\pi$
$104$	−0.548056	+	1.32312i	−0.0537413	+	0.129743i
$105$	1.80818	−	3.21006i	0.176460	−	0.313270i
$106$	2.87870	+	2.87870i	0.279604	+	0.279604i
$107$	0.620693	+	3.12044i	0.0600047	+	0.301664i	0.999120	−	0.0419376i	$-0.0133531\pi$
$107$	0.620693	+	3.12044i	0.0600047	+	0.301664i	−0.939116	+	0.343601i	$0.888353\pi$
$108$	1.65502	+	2.47691i	0.159254	+	0.238340i
$109$	−0.952429	+	0.636393i	−0.0912262	+	0.0609554i	−0.600347	−	0.799740i	$-0.704971\pi$
$109$	−0.952429	+	0.636393i	−0.0912262	+	0.0609554i	0.509121	+	0.860695i	$0.329971\pi$
$110$	0.561270	−	0.284232i	0.0535150	−	0.0271005i
$111$	−4.21467	+	1.74577i	−0.400039	+	0.165702i
$112$	0.618262	−	3.10821i	0.0584202	−	0.293698i
$113$	13.8927	−	9.28282i	1.30692	−	0.873254i	0.309925	−	0.950761i	$-0.399696\pi$
$113$	13.8927	−	9.28282i	1.30692	−	0.873254i	0.996992	+	0.0775070i	$0.0246960\pi$
$114$	2.26503	−	3.38986i	0.212139	−	0.317489i
$115$	7.12338	−	8.29869i	0.664259	−	0.773857i
$116$	0.803506	+	4.03950i	0.0746036	+	0.375058i
$117$	1.49602	+	3.61172i	0.138307	+	0.333904i
$118$	0.187844	−	0.187844i	0.0172924	−	0.0172924i
$119$	−0.0279623	−	13.0665i	−0.00256330	−	1.19781i
$120$	−0.882148	−	0.757213i	−0.0805287	−	0.0691238i
$121$	10.0895	+	4.17922i	0.917231	+	0.379929i
$122$	5.03188	−	7.53074i	0.455565	−	0.681801i
$123$			4.49239i			0.405065i
$124$	7.18481	+	4.80074i	0.645215	+	0.431119i
$125$	−8.15335	−	7.65003i	−0.729257	−	0.684239i
$126$	−4.80605	−	7.19277i	−0.428157	−	0.640783i
$127$	−3.67225	−	1.52109i	−0.325859	−	0.134975i	0.213756	−	0.976887i	$-0.431430\pi$
$127$	−3.67225	−	1.52109i	−0.325859	−	0.134975i	−0.539615	+	0.841912i	$0.681430\pi$
$128$	−0.923880	−	0.382683i	−0.0816602	−	0.0338248i
$129$	1.96617	+	2.94259i	0.173112	+	0.259080i
$130$	−1.97633	−	2.51977i	−0.173335	−	0.220999i
$131$	13.7925	+	9.21586i	1.20506	+	0.805194i	0.985379	−	0.170378i	$-0.0544990\pi$
$131$	13.7925	+	9.21586i	1.20506	+	0.805194i	0.219679	+	0.975572i	$0.429499\pi$
$132$			0.146282i			0.0127322i
$133$	−13.8063	+	20.6626i	−1.19716	+	1.79168i
$134$	4.15492	+	1.72102i	0.358931	+	0.148674i
$135$	−6.64187	+	0.506174i	−0.571641	+	0.0435645i
$136$	−4.04559	−	0.795722i	−0.346907	−	0.0682326i
$137$	−6.80771	+	6.80771i	−0.581622	+	0.581622i	−0.935349	−	0.353727i	$-0.884914\pi$
$137$	−6.80771	+	6.80771i	−0.581622	+	0.581622i	0.353727	+	0.935349i	$0.384914\pi$
$138$	0.973132	+	2.34935i	0.0828385	+	0.199990i
$139$	3.44383	+	17.3133i	0.292102	+	1.46849i	0.796297	+	0.604905i	$0.206789\pi$
$139$	3.44383	+	17.3133i	0.292102	+	1.46849i	−0.504196	+	0.863590i	$0.668211\pi$
$140$	5.37707	+	4.61554i	0.454446	+	0.390084i
$141$	−0.745561	+	1.11581i	−0.0627876	+	0.0939683i
$142$	−4.57982	+	3.06014i	−0.384330	+	0.256801i
$143$	−0.0786105	+	0.395202i	−0.00657374	+	0.0330484i
$144$	−2.52190	+	1.04461i	−0.210159	+	0.0870506i
$145$	−8.75172	−	2.86760i	−0.726791	−	0.238141i
$146$	−2.27970	+	1.52325i	−0.188669	+	0.126065i
$147$	−0.879033	−	1.31557i	−0.0725014	−	0.108506i
$148$	−1.71180	−	8.60578i	−0.140709	−	0.707391i
$149$	−11.9766	−	11.9766i	−0.981159	−	0.981159i	0.0186672	−	0.999826i	$-0.494058\pi$
$149$	−11.9766	−	11.9766i	−0.981159	−	0.981159i	−0.999826	+	0.0186672i	$0.994058\pi$
$150$	2.44332	−	0.887662i	0.199497	−	0.0724773i
$151$	2.46519	−	5.95150i	0.200614	−	0.484326i	−0.791270	−	0.611467i	$-0.790580\pi$
$151$	2.46519	−	5.95150i	0.200614	−	0.484326i	0.991885	+	0.127140i	$0.0405799\pi$
$152$	5.54483	+	5.54483i	0.449745	+	0.449745i
$153$	−9.34462	+	6.27284i	−0.755468	+	0.507129i
$154$		−	0.891653i		−	0.0718515i
$155$	−17.2378	+	8.72937i	−1.38457	+	0.701160i
$156$	0.730283	−	0.145262i	0.0584695	−	0.0116303i
$157$	−23.2412			−1.85485			−0.927423	−	0.374014i	$-0.877981\pi$
$157$	−23.2412			−1.85485			−0.927423	+	0.374014i	$0.877981\pi$
$158$	10.5371	−	2.09596i	0.838288	−	0.166746i
$159$	0.412933	−	2.07595i	0.0327477	−	0.164634i
$160$	1.75945	−	1.37998i	0.139096	−	0.109097i
$161$	−5.93166	−	14.3203i	−0.467480	−	1.12860i
$162$	−2.54112	+	6.13481i	−0.199649	+	0.481996i
$163$	9.71102	+	1.93164i	0.760626	+	0.151298i	0.560139	−	0.828398i	$-0.310748\pi$
$163$	9.71102	+	1.93164i	0.760626	+	0.151298i	0.200487	+	0.979696i	$0.435748\pi$
$164$	−8.47460	−	1.68570i	−0.661755	−	0.131631i
$165$	−0.284994	−	0.160533i	−0.0221867	−	0.0124975i
$166$	7.78792	−	7.78792i	0.604460	−	0.604460i
$167$	−5.83007	−	3.89552i	−0.451144	−	0.301445i	0.309163	−	0.951009i	$-0.399951\pi$
$167$	−5.83007	−	3.89552i	−0.451144	−	0.301445i	−0.760307	+	0.649564i	$0.774951\pi$
$168$	−1.52224	+	0.630534i	−0.117444	+	0.0486467i
$169$	−10.9490			−0.842229
$170$	5.98998	−	7.00858i	0.459410	−	0.537533i
$171$	21.4050			1.63688
$172$	−6.28878	+	2.60490i	−0.479515	+	0.198621i
$173$	4.01024	+	2.67956i	0.304893	+	0.203723i	0.698599	−	0.715514i	$-0.253807\pi$
$173$	4.01024	+	2.67956i	0.304893	+	0.203723i	−0.393706	+	0.919236i	$0.628807\pi$
$174$	1.51415	−	1.51415i	0.114788	−	0.114788i
$175$	−14.8931	+	5.41068i	−1.12581	+	0.409009i
$176$	−0.275952	−	0.0548902i	−0.0208007	−	0.00413751i
$177$	−0.135462	−	0.0269451i	−0.0101820	−	0.00202532i
$178$	−2.88152	+	6.95661i	−0.215979	+	0.521420i
$179$	−6.12646	−	14.7906i	−0.457913	−	1.10550i	−0.969241	−	0.246115i	$-0.920846\pi$
$179$	−6.12646	−	14.7906i	−0.457913	−	1.10550i	0.511327	−	0.859386i	$-0.329154\pi$
$180$	0.732435	−	6.05967i	0.0545925	−	0.451661i
$181$	0.409658	−	2.05949i	0.0304496	−	0.153081i	−0.962569	−	0.271036i	$-0.912634\pi$
$181$	0.409658	−	2.05949i	0.0304496	−	0.153081i	0.993019	+	0.117955i	$0.0376339\pi$
$182$	−4.45139	+	0.885437i	−0.329959	+	0.0656330i
$183$	−4.70894			−0.348095
$184$	−4.79705	+	0.954192i	−0.353643	+	0.0703440i
$185$	18.6448	+	6.10916i	1.37079	+	0.449154i
$186$		−	4.49263i		−	0.329416i
$187$	−1.16007	+	0.00248253i	−0.0848325	+	0.000181541i
$188$	−1.82514	−	1.82514i	−0.133112	−	0.133112i
$189$	−3.61276	+	8.72198i	−0.262790	+	0.634431i
$190$	−16.8877	+	4.71769i	−1.22516	+	0.342257i
$191$	2.01607	+	2.01607i	0.145878	+	0.145878i	0.776274	−	0.630396i	$-0.217107\pi$
$191$	2.01607	+	2.01607i	0.145878	+	0.145878i	−0.630396	+	0.776274i	$0.717107\pi$
$192$	0.101430	+	0.509925i	0.00732010	+	0.0368006i
$193$	−6.57450	−	9.83943i	−0.473243	−	0.708258i	0.515665	−	0.856790i	$-0.327545\pi$
$193$	−6.57450	−	9.83943i	−0.473243	−	0.708258i	−0.988907	+	0.148533i	$0.952545\pi$
$194$	9.99188	−	6.67636i	0.717375	−	0.479335i
$195$	−0.518421	+	1.58219i	−0.0371249	+	0.113303i
$196$	2.81157	−	1.16459i	0.200827	−	0.0831852i
$197$	−1.77019	+	8.89932i	−0.126120	+	0.634051i	0.865075	+	0.501643i	$0.167271\pi$
$197$	−1.77019	+	8.89932i	−0.126120	+	0.634051i	−0.991195	+	0.132408i	$0.957729\pi$
$198$	−0.638585	+	0.426689i	−0.0453823	+	0.0303235i
$199$	−6.94256	+	10.3903i	−0.492145	+	0.736547i	−0.991536	−	0.129829i	$-0.958557\pi$
$199$	−6.94256	+	10.3903i	−0.492145	+	0.736547i	0.499391	+	0.866377i	$0.333557\pi$
$200$	0.757694	+	4.94226i	0.0535771	+	0.349470i
$201$	−0.456158	−	2.29326i	−0.0321749	−	0.161754i
$202$	−0.211450	−	0.510485i	−0.0148776	−	0.0359176i
$203$	−9.22943	+	9.22943i	−0.647779	+	0.647779i
$204$	0.824581	+	1.97873i	0.0577322	+	0.138539i
$205$	12.5844	−	14.6607i	0.878930	−	1.02395i
$206$	8.86178	+	3.67067i	0.617429	+	0.255748i
$207$	−7.41741	+	11.1009i	−0.515546	+	0.771568i
$208$			1.43214i			0.0993010i
$209$	1.83446	+	1.22575i	0.126892	+	0.0847868i
$210$	0.442104	−	3.65767i	0.0305081	−	0.252403i
$211$	4.13582	+	6.18970i	0.284722	+	0.426116i	0.946070	−	0.323963i	$-0.105015\pi$
$211$	4.13582	+	6.18970i	0.284722	+	0.426116i	−0.661348	+	0.750079i	$0.730015\pi$
$212$	3.76121	+	1.55794i	0.258321	+	0.107000i
$213$	2.64575	+	1.09591i	0.181284	+	0.0750903i
$214$	1.76758	+	2.64538i	0.120830	+	0.180834i
$215$	1.82645	−	15.1108i	0.124563	−	1.03055i
$216$	2.47691	+	1.65502i	0.168532	+	0.112610i
$217$			27.3846i			1.85898i
$218$	−0.636393	+	0.952429i	−0.0431020	+	0.0645067i
$219$	1.31698	+	0.545510i	0.0889931	+	0.0368622i
$220$	0.409775	−	0.477385i	0.0276270	−	0.0321853i
$221$	1.16437	+	5.78893i	0.0783242	+	0.389405i
$222$	−3.22577	+	3.22577i	−0.216500	+	0.216500i
$223$	−7.09037	−	17.1177i	−0.474806	−	1.14628i	−0.962015	−	0.272998i	$-0.911985\pi$
$223$	−7.09037	−	17.1177i	−0.474806	−	1.14628i	0.487208	−	0.873286i	$-0.338015\pi$
$224$	−0.618262	−	3.10821i	−0.0413093	−	0.207676i
$225$	11.0019	+	8.07696i	0.733463	+	0.538464i
$226$	9.28282	−	13.8927i	0.617484	−	0.924130i
$227$	−2.95443	+	1.97408i	−0.196092	+	0.131025i	−0.649740	−	0.760156i	$-0.725122\pi$
$227$	−2.95443	+	1.97408i	−0.196092	+	0.131025i	0.453648	+	0.891181i	$0.350122\pi$
$228$	0.795373	−	3.99861i	0.0526748	−	0.264814i
$229$	25.8965	−	10.7267i	1.71129	−	0.708840i	0.711309	−	0.702879i	$-0.248103\pi$
$229$	25.8965	−	10.7267i	1.71129	−	0.708840i	0.999982	−	0.00596086i	$-0.00189741\pi$
$230$	3.40537	−	10.3930i	0.224544	−	0.685293i
$231$	−0.385456	+	0.257553i	−0.0253611	+	0.0169458i
$232$	2.28819	+	3.42452i	0.150227	+	0.224831i
$233$	2.12487	+	10.6825i	0.139205	+	0.699831i	0.985844	+	0.167664i	$0.0536223\pi$
$233$	2.12487	+	10.6825i	0.139205	+	0.699831i	−0.846639	+	0.532167i	$0.821378\pi$
$234$	2.76429	+	2.76429i	0.180707	+	0.180707i
$235$	5.55878	−	1.55288i	0.362615	−	0.101299i
$236$	0.101660	−	0.245430i	0.00661752	−	0.0159761i
$237$	−3.94971	−	3.94971i	−0.256561	−	0.256561i
$238$	−5.02618	−	12.0612i	−0.325799	−	0.781811i
$239$		−	19.6237i		−	1.26935i	−0.772778	−	0.634677i	$-0.781133\pi$
$239$		−	19.6237i		−	1.26935i	0.772778	−	0.634677i	$-0.218867\pi$
$240$	−1.10477	−	0.361990i	−0.0713127	−	0.0233664i
$241$	8.89550	−	1.76942i	0.573009	−	0.113979i	0.0999238	−	0.994995i	$-0.468140\pi$
$241$	8.89550	−	1.76942i	0.573009	−	0.113979i	0.473086	+	0.881016i	$0.343140\pi$
$242$	10.9208			0.702018
$243$	12.1512	−	2.41702i	0.779497	−	0.155052i
$244$	1.76696	−	8.88311i	0.113118	−	0.568683i
$245$	−0.816564	+	6.75569i	−0.0521684	+	0.431605i
$246$	1.71916	+	4.15042i	0.109610	+	0.264621i
$247$	4.29762	−	10.3754i	0.273451	−	0.660169i
$248$	8.47506	+	1.68579i	0.538167	+	0.107048i
$249$	−5.61620	−	1.11713i	−0.355912	−	0.0707953i
$250$	−10.4602	−	3.94756i	−0.661564	−	0.249665i
$251$	−3.29703	+	3.29703i	−0.208107	+	0.208107i	−0.803462	−	0.595356i	$-0.797011\pi$
$251$	−3.29703	+	3.29703i	−0.208107	+	0.208107i	0.595356	+	0.803462i	$0.297011\pi$
$252$	−7.19277	−	4.80605i	−0.453102	−	0.302753i
$253$	−1.27138	+	0.526622i	−0.0799309	+	0.0331085i
$254$	−3.97481			−0.249402
$255$	−4.75996	−	0.565007i	−0.298080	−	0.0353821i
$256$	−1.00000			−0.0625000
$257$	20.6537	−	8.55506i	1.28834	−	0.533650i	0.369853	−	0.929090i	$-0.379408\pi$
$257$	20.6537	−	8.55506i	1.28834	−	0.533650i	0.918492	+	0.395440i	$0.129408\pi$
$258$	2.94259	+	1.96617i	0.183197	+	0.122409i
$259$	19.6625	−	19.6625i	1.22177	−	1.22177i
$260$	−2.79016	−	1.57166i	−0.173039	−	0.0974702i
$261$	11.0266	+	2.19332i	0.682527	+	0.135763i
$262$	16.2694	+	3.23618i	1.00513	+	0.199932i
$263$	−2.88120	+	6.95582i	−0.177662	+	0.428914i	−0.987475	−	0.157773i	$-0.949568\pi$
$263$	−2.88120	+	6.95582i	−0.177662	+	0.428914i	0.809813	+	0.586688i	$0.199568\pi$
$264$	0.0559798	+	0.135147i	0.00344532	+	0.00831773i
$265$	−7.16288	+	5.61804i	−0.440012	+	0.345114i
$266$	−4.84814	+	24.3733i	−0.297259	+	1.49442i
$267$	3.83962	−	0.763748i	0.234981	−	0.0467406i
$268$	4.49725			0.274714
$269$	−1.80072	+	0.358185i	−0.109792	+	0.0218389i	−0.249680	−	0.968328i	$-0.580326\pi$
$269$	−1.80072	+	0.358185i	−0.109792	+	0.0218389i	0.139889	+	0.990167i	$0.455326\pi$
$270$	−5.94259	+	3.00938i	−0.361654	+	0.183145i
$271$		−	5.86153i		−	0.356062i	−0.984025	−	0.178031i	$-0.943027\pi$
$271$		−	5.86153i		−	0.356062i	0.984025	−	0.178031i	$-0.0569728\pi$
$272$	−4.04215	+	0.813030i	−0.245091	+	0.0492972i
$273$	1.66855	+	1.66855i	0.100985	+	0.100985i
$274$	−3.68431	+	8.89470i	−0.222577	+	0.537349i
$275$	0.480369	+	1.32224i	0.0289673	+	0.0797338i
$276$	1.79811	+	1.79811i	0.108234	+	0.108234i
$277$	0.787053	+	3.95678i	0.0472894	+	0.237740i	0.997200	−	0.0747822i	$-0.0238262\pi$
$277$	0.787053	+	3.95678i	0.0472894	+	0.237740i	−0.949910	+	0.312522i	$0.898826\pi$
$278$	9.80720	+	14.6775i	0.588197	+	0.880298i
$279$	19.6123	−	13.1045i	1.17416	−	0.784547i
$280$	6.73406	+	2.20649i	0.402437	+	0.131863i
$281$	−18.0318	+	7.46903i	−1.07569	+	0.445565i	−0.848995	−	0.528401i	$-0.822792\pi$
$281$	−18.0318	+	7.46903i	−1.07569	+	0.445565i	−0.226694	+	0.973966i	$0.572792\pi$
$282$	−0.261806	+	1.31619i	−0.0155903	+	0.0783779i
$283$	13.9258	−	9.30491i	0.827802	−	0.553119i	−0.0679424	−	0.997689i	$-0.521643\pi$
$283$	13.9258	−	9.30491i	0.827802	−	0.553119i	0.895744	+	0.444570i	$0.146643\pi$
$284$	−3.06014	+	4.57982i	−0.181586	+	0.271762i
$285$	6.91742	+	5.93774i	0.409753	+	0.351721i
$286$	0.0786105	+	0.395202i	0.00464834	+	0.0233688i
$287$	−10.4790	−	25.2986i	−0.618558	−	1.49333i
$288$	−1.93018	+	1.93018i	−0.113737	+	0.113737i
$289$	−15.6780	+	6.57278i	−0.922233	+	0.386634i
$290$	−9.18292	+	0.699825i	−0.539239	+	0.0410952i
$291$	−5.77229	−	2.39096i	−0.338378	−	0.140161i
$292$	−1.52325	+	2.27970i	−0.0891412	+	0.133409i
$293$		−	3.65783i		−	0.213693i	−0.994276	−	0.106846i	$-0.965925\pi$
$293$		−	3.65783i		−	0.213693i	0.994276	−	0.106846i	$-0.0340753\pi$
$294$	−1.31557	−	0.879033i	−0.0767254	−	0.0512663i
$295$	0.366594	+	0.467399i	0.0213439	+	0.0272130i
$296$	−4.87479	−	7.29563i	−0.283341	−	0.424050i
$297$	0.774351	+	0.320747i	0.0449324	+	0.0186116i
$298$	−15.6481	−	6.48167i	−0.906472	−	0.375473i
$299$	3.89157	+	5.82414i	0.225055	+	0.336819i
$300$	1.91764	−	1.75511i	0.110715	−	0.101331i
$301$	−17.9363	−	11.9847i	−1.03383	−	0.690785i
$302$		−	6.44185i		−	0.370687i
$303$	−0.159602	+	0.238862i	−0.00916891	+	0.0137222i
$304$	7.24466	+	3.00084i	0.415510	+	0.172110i
$305$	15.3674	+	13.1910i	0.879935	+	0.755313i
$306$	−6.23279	+	9.37138i	−0.356305	+	0.535726i
$307$	−12.9665	+	12.9665i	−0.740039	+	0.740039i	−0.972585	−	0.232546i	$-0.925294\pi$
$307$	−12.9665	+	12.9665i	−0.740039	+	0.740039i	0.232546	+	0.972585i	$0.425294\pi$
$308$	−0.341221	−	0.823780i	−0.0194429	−	0.0469392i
$309$	−0.972911	−	4.89115i	−0.0553470	−	0.278248i
$310$	−12.5851	+	14.6615i	−0.714783	+	0.832717i
$311$	−3.27407	+	4.90000i	−0.185656	+	0.277853i	−0.912609	−	0.408834i	$-0.865936\pi$
$311$	−3.27407	+	4.90000i	−0.185656	+	0.277853i	0.726953	+	0.686687i	$0.240936\pi$
$312$	0.619104	−	0.413672i	0.0350499	−	0.0234196i
$313$	−1.06893	+	5.37387i	−0.0604195	+	0.303749i	−0.999165	−	0.0408625i	$-0.986989\pi$
$313$	−1.06893	+	5.37387i	−0.0604195	+	0.303749i	0.938745	+	0.344612i	$0.111989\pi$
$314$	−21.4720	+	8.89401i	−1.21174	+	0.501918i
$315$	17.2569	−	8.73903i	0.972315	−	0.492389i
$316$	8.93293	−	5.96880i	0.502517	−	0.335771i
$317$	13.2485	+	19.8279i	0.744113	+	1.11364i	0.989544	+	0.144229i	$0.0460703\pi$
$317$	13.2485	+	19.8279i	0.744113	+	1.11364i	−0.245432	+	0.969414i	$0.578930\pi$
$318$	−0.412933	−	2.07595i	−0.0231561	−	0.116414i
$319$	0.819403	+	0.819403i	0.0458778	+	0.0458778i
$320$	1.09742	−	1.94825i	0.0613477	−	0.108910i
$321$	0.633013	−	1.52823i	0.0353314	−	0.0852975i
$322$	−10.9603	−	10.9603i	−0.610793	−	0.610793i
$323$	31.7238	+	6.23971i	1.76516	+	0.347187i
$324$			6.64027i			0.368904i
$325$	6.12396	−	3.71116i	0.339696	−	0.205858i
$326$	9.71102	−	1.93164i	0.537844	−	0.106984i
$327$	0.595550			0.0329340
$328$	−8.47460	+	1.68570i	−0.467931	+	0.0930773i
$329$	1.59582	−	8.02274i	0.0879806	−	0.442308i
$330$	−0.324733	−	0.0392507i	−0.0178760	−	0.00216068i
$331$	−5.29422	−	12.7814i	−0.290997	−	0.702528i	0.709000	−	0.705209i	$-0.249147\pi$
$331$	−5.29422	−	12.7814i	−0.290997	−	0.702528i	−0.999996	+	0.00268048i	$0.999147\pi$
$332$	4.21479	−	10.1754i	0.231317	−	0.558448i
$333$	−23.4911	−	4.67267i	−1.28731	−	0.256061i
$334$	−6.87703	−	1.36793i	−0.376294	−	0.0748496i
$335$	−4.93538	+	8.76177i	−0.269649	+	0.478706i
$336$	−1.16507	+	1.16507i	−0.0635600	+	0.0635600i
$337$	−2.80590	−	1.87485i	−0.152847	−	0.102129i	0.476795	−	0.879015i	$-0.341798\pi$
$337$	−2.80590	−	1.87485i	−0.152847	−	0.102129i	−0.629642	+	0.776885i	$0.716798\pi$
$338$	−10.1155	+	4.18999i	−0.550213	+	0.227905i
$339$	−8.68706			−0.471816
$340$	2.85195	−	8.76735i	0.154669	−	0.475476i
$341$	2.43124			0.131659
$342$	19.7757	−	8.19135i	1.06935	−	0.442938i
$343$	−10.4262	−	6.96653i	−0.562960	−	0.376158i
$344$	−4.81322	+	4.81322i	−0.259511	+	0.259511i
$345$	−5.47646	+	1.52988i	−0.294842	+	0.0823662i
$346$	4.73040	+	0.940935i	0.254308	+	0.0505850i
$347$	−26.8852	−	5.34779i	−1.44327	−	0.287084i	−0.589515	−	0.807758i	$-0.700681\pi$
$347$	−26.8852	−	5.34779i	−1.44327	−	0.287084i	−0.853756	+	0.520673i	$0.825681\pi$
$348$	0.819455	−	1.97834i	0.0439274	−	0.106050i
$349$	10.2086	+	24.6458i	0.546455	+	1.31926i	0.920099	+	0.391686i	$0.128108\pi$
$349$	10.2086	+	24.6458i	0.546455	+	1.31926i	−0.373644	+	0.927572i	$0.621892\pi$
$350$	−11.6889	+	10.6982i	−0.624797	+	0.571841i
$351$	0.832308	−	4.18430i	0.0444253	−	0.223341i
$352$	−0.275952	+	0.0548902i	−0.0147083	+	0.00292566i
$353$	17.8565			0.950404			0.475202	−	0.879877i	$-0.342375\pi$
$353$	17.8565			0.950404			0.475202	+	0.879877i	$0.342375\pi$
$354$	−0.135462	+	0.0269451i	−0.00719973	+	0.00143212i
$355$	−5.56436	−	10.9879i	−0.295326	−	0.583176i
$356$			7.52978i			0.399078i
$357$	−3.76217	+	5.65665i	−0.199115	+	0.299381i
$358$	−11.3202	−	11.3202i	−0.598293	−	0.598293i
$359$	−4.97569	+	12.0124i	−0.262607	+	0.633988i	−0.999098	−	0.0424582i	$-0.986481\pi$
$359$	−4.97569	+	12.0124i	−0.262607	+	0.633988i	0.736492	+	0.676447i	$0.236481\pi$
$360$	−1.64225	−	5.87869i	−0.0865543	−	0.309834i
$361$	−30.0451	−	30.0451i	−1.58132	−	1.58132i
$362$	−0.409658	−	2.05949i	−0.0215311	−	0.108244i
$363$	−3.15447	−	4.72100i	−0.165567	−	0.247788i
$364$	−3.77371	+	2.52151i	−0.197796	+	0.132163i
$365$	−2.76978	−	5.46945i	−0.144977	−	0.286284i
$366$	−4.35049	+	1.80203i	−0.227404	+	0.0941938i
$367$	6.99762	−	35.1794i	0.365273	−	1.83635i	−0.162173	−	0.986762i	$-0.551850\pi$
$367$	6.99762	−	35.1794i	0.365273	−	1.83635i	0.527446	−	0.849589i	$-0.323150\pi$
$368$	−4.06674	+	2.71731i	−0.211993	+	0.141650i
$369$	−13.1038	+	19.6112i	−0.682156	+	1.02092i
$370$	19.5634	−	1.49092i	1.01705	−	0.0775090i
$371$	2.51701	+	12.6538i	0.130676	+	0.656955i
$372$	−1.71926	−	4.15065i	−0.0891393	−	0.215201i
$373$	−1.37923	+	1.37923i	−0.0714140	+	0.0714140i	−0.741912	−	0.670498i	$-0.766081\pi$
$373$	−1.37923	+	1.37923i	−0.0714140	+	0.0714140i	0.670498	+	0.741912i	$0.266081\pi$
$374$	−1.07081	+	0.446232i	−0.0553704	+	0.0230741i
$375$	1.31493	+	5.66214i	0.0679028	+	0.292392i
$376$	−2.38467	−	0.987761i	−0.122980	−	0.0509399i
$377$	3.27701	−	4.90439i	0.168775	−	0.252589i
$378$			9.44060i			0.485572i
$379$	−4.91960	−	3.28717i	−0.252703	−	0.168851i	0.422767	−	0.906239i	$-0.361059\pi$
$379$	−4.91960	−	3.28717i	−0.252703	−	0.168851i	−0.675469	+	0.737388i	$0.736059\pi$
$380$	−13.7968	+	10.8212i	−0.707762	+	0.555117i
$381$	1.14812	+	1.71828i	0.0588200	+	0.0880303i
$382$	2.63413	+	1.09109i	0.134774	+	0.0558250i
$383$	−0.642841	−	0.266273i	−0.0328476	−	0.0136059i	0.366199	−	0.930537i	$-0.380659\pi$
$383$	−0.642841	−	0.266273i	−0.0328476	−	0.0136059i	−0.399047	+	0.916931i	$0.630659\pi$
$384$	0.288849	+	0.432293i	0.0147403	+	0.0220604i
$385$	1.97939	+	0.239250i	0.100879	+	0.0121933i
$386$	−9.83943	−	6.57450i	−0.500814	−	0.334633i
$387$			18.5808i			0.944514i
$388$	6.67636	−	9.99188i	0.338941	−	0.507261i
$389$	6.98147	+	2.89182i	0.353975	+	0.146621i	0.552583	−	0.833458i	$-0.313642\pi$
$389$	6.98147	+	2.89182i	0.353975	+	0.146621i	−0.198608	+	0.980079i	$0.563642\pi$
$390$	0.126518	+	1.66014i	0.00640651	+	0.0840645i
$391$	−14.2291	+	14.2902i	−0.719598	+	0.722684i
$392$	2.15189	−	2.15189i	0.108687	−	0.108687i
$393$	−3.30042	−	7.96791i	−0.166484	−	0.401928i
$394$	1.77019	+	8.89932i	0.0891807	+	0.448341i
$395$	1.82551	+	23.9538i	0.0918514	+	1.20525i
$396$	−0.426689	+	0.638585i	−0.0214419	+	0.0320901i
$397$	−13.9097	+	9.29416i	−0.698107	+	0.466460i	−0.853298	−	0.521424i	$-0.825401\pi$
$397$	−13.9097	+	9.29416i	−0.698107	+	0.466460i	0.155190	+	0.987885i	$0.450401\pi$
$398$	−2.43790	+	12.2562i	−0.122201	+	0.614346i
$399$	11.9368	−	4.94437i	0.597586	−	0.247528i
$400$	2.59134	+	4.27609i	0.129567	+	0.213805i
$401$	15.1205	−	10.1032i	0.755081	−	0.504529i	−0.117455	−	0.993078i	$-0.537474\pi$
$401$	15.1205	−	10.1032i	0.755081	−	0.504529i	0.872536	+	0.488549i	$0.162474\pi$
$402$	−1.29903	−	1.94413i	−0.0647896	−	0.0969645i
$403$	−2.41429	−	12.1375i	−0.120265	−	0.604611i
$404$	−0.390709	−	0.390709i	−0.0194385	−	0.0194385i
$405$	−12.9369	−	7.28716i	−0.642839	−	0.362102i
$406$	−4.99493	+	12.0588i	−0.247894	+	0.598470i
$407$	−1.74567	−	1.74567i	−0.0865294	−	0.0865294i
$408$	1.51904	+	1.51255i	0.0752036	+	0.0748824i
$409$		−	21.8191i		−	1.07888i	−0.842023	−	0.539441i	$-0.818635\pi$
$409$		−	21.8191i		−	1.07888i	0.842023	−	0.539441i	$-0.181365\pi$
$410$	6.01603	−	18.3605i	0.297110	−	0.906762i
$411$	4.90933	−	0.976526i	0.242159	−	0.0481685i
$412$	9.59192			0.472560
$413$	0.825700	−	0.164242i	0.0406300	−	0.00808182i
$414$	−2.60465	+	13.0944i	−0.128011	+	0.643557i
$415$	15.1988	+	19.3782i	0.746080	+	0.951236i
$416$	0.548056	+	1.32312i	0.0268707	+	0.0648715i
$417$	3.51219	−	8.47917i	0.171993	−	0.415227i
$418$	2.16390	+	0.430426i	0.105840	+	0.0210528i
$419$	−32.9487	−	6.55391i	−1.60965	−	0.320180i	−0.693329	−	0.720621i	$-0.743857\pi$
$419$	−32.9487	−	6.55391i	−1.60965	−	0.320180i	−0.916322	+	0.400442i	$0.868857\pi$
$420$	−0.991277	−	3.54843i	−0.0483694	−	0.173146i
$421$	−26.9660	+	26.9660i	−1.31424	+	1.31424i	−0.395985	+	0.918257i	$0.629597\pi$
$421$	−26.9660	+	26.9660i	−1.31424	+	1.31424i	−0.918257	+	0.395985i	$0.870403\pi$
$422$	6.18970	+	4.13582i	0.301310	+	0.201329i
$423$	−6.50940	+	2.69628i	−0.316498	+	0.131098i
$424$	4.07110			0.197710
$425$	13.9512	+	15.1778i	0.676731	+	0.736230i
$426$	2.86374			0.138749
$427$	26.5181	−	10.9842i	1.28330	−	0.531561i
$428$	2.64538	+	1.76758i	0.127869	+	0.0854394i
$429$	0.148136	−	0.148136i	0.00715210	−	0.00715210i
$430$	−4.09522	−	14.6595i	−0.197489	−	0.706942i
$431$	17.5932	+	3.49951i	0.847436	+	0.168565i	0.599663	−	0.800253i	$-0.295301\pi$
$431$	17.5932	+	3.49951i	0.847436	+	0.168565i	0.247773	+	0.968818i	$0.420301\pi$
$432$	2.92171	+	0.581164i	0.140571	+	0.0279613i
$433$	−13.3295	+	32.1803i	−0.640576	+	1.54649i	0.185327	+	0.982677i	$0.440666\pi$
$433$	−13.3295	+	32.1803i	−0.640576	+	1.54649i	−0.825904	+	0.563811i	$0.809334\pi$
$434$	10.4796	+	25.3000i	0.503038	+	1.21444i
$435$	2.95501	+	3.76757i	0.141682	+	0.180641i
$436$	−0.223471	+	1.12347i	−0.0107023	+	0.0538043i
$437$	37.6164	−	7.48236i	1.79944	−	0.357930i
$438$	1.42549			0.0681124
$439$	3.85608	−	0.767023i	0.184041	−	0.0366080i	−0.102209	−	0.994763i	$-0.532591\pi$
$439$	3.85608	−	0.767023i	0.184041	−	0.0366080i	0.286250	+	0.958155i	$0.407591\pi$
$440$	0.195895	−	0.597860i	0.00933895	−	0.0285019i
$441$		−	8.30706i		−	0.395574i
$442$	3.29107	+	4.90268i	0.156540	+	0.233197i
$443$	17.5112	+	17.5112i	0.831985	+	0.831985i	0.987788	−	0.155803i	$-0.0497967\pi$
$443$	17.5112	+	17.5112i	0.831985	+	0.831985i	−0.155803	+	0.987788i	$0.549797\pi$
$444$	−1.74577	+	4.21467i	−0.0828508	+	0.200020i
$445$	−14.6699	−	8.26333i	−0.695419	−	0.391720i
$446$	−13.1013	−	13.1013i	−0.620364	−	0.620364i
$447$	1.71797	+	8.63681i	0.0812571	+	0.408507i
$448$	−1.76066	−	2.63501i	−0.0831834	−	0.124493i
$449$	18.9084	−	12.6342i	0.892341	−	0.596243i	−0.0226383	−	0.999744i	$-0.507207\pi$
$449$	18.9084	−	12.6342i	0.892341	−	0.596243i	0.914979	+	0.403500i	$0.132207\pi$
$450$	13.2554	+	3.25188i	0.624865	+	0.153295i
$451$	−2.24605	+	0.930345i	−0.105762	+	0.0438082i
$452$	3.25969	−	16.3876i	0.153323	−	0.770807i
$453$	−2.78477	+	1.86072i	−0.130840	+	0.0874244i
$454$	−1.97408	+	2.95443i	−0.0926484	+	0.138658i
$455$	−0.771185	−	10.1193i	−0.0361537	−	0.474399i
$456$	−0.795373	−	3.99861i	−0.0372467	−	0.187252i
$457$	−8.19219	−	19.7777i	−0.383215	−	0.925162i	−0.991340	−	0.131321i	$-0.958078\pi$
$457$	−8.19219	−	19.7777i	−0.383215	−	0.925162i	0.608125	−	0.793841i	$-0.291922\pi$
$458$	19.8204	−	19.8204i	0.926144	−	0.926144i
$459$	12.2825	−	0.0262845i	0.573298	−	0.00122685i
$460$	−0.831068	−	10.9050i	−0.0387487	−	0.508450i
$461$	−29.7389	−	12.3183i	−1.38508	−	0.573719i	−0.439246	−	0.898367i	$-0.644754\pi$
$461$	−29.7389	−	12.3183i	−1.38508	−	0.573719i	−0.945835	+	0.324648i	$0.894754\pi$
$462$	−0.257553	+	0.385456i	−0.0119825	+	0.0179330i
$463$		−	38.6520i		−	1.79631i	−0.439681	−	0.898154i	$-0.644908\pi$
$463$		−	38.6520i		−	1.79631i	0.439681	−	0.898154i	$-0.355092\pi$
$464$	3.42452	+	2.28819i	0.158979	+	0.106227i
$465$	9.97325	+	1.20547i	0.462498	+	0.0559024i
$466$	6.05113	+	9.05615i	0.280313	+	0.419518i
$467$	−2.11424	−	0.875745i	−0.0978352	−	0.0405247i	0.333229	−	0.942846i	$-0.391862\pi$
$467$	−2.11424	−	0.875745i	−0.0978352	−	0.0405247i	−0.431064	+	0.902321i	$0.641862\pi$
$468$	3.61172	+	1.49602i	0.166952	+	0.0691537i
$469$	7.91814	+	11.8503i	0.365626	+	0.547197i
$470$	4.54138	−	3.56193i	0.209478	−	0.164300i
$471$	10.0470	+	6.71319i	0.462941	+	0.309327i
$472$		−	0.265651i		−	0.0122276i
$473$	−1.06402	+	1.59242i	−0.0489236	+	0.0732194i
$474$	−5.16054	−	2.13757i	−0.237031	−	0.0981816i
$475$	−5.94151	−	38.7550i	−0.272615	−	1.77820i
$476$	−9.25920	−	9.21966i	−0.424395	−	0.422582i
$477$	7.85796	−	7.85796i	0.359791	−	0.359791i
$478$	−7.50968	−	18.1300i	−0.343485	−	0.829245i
$479$	4.38824	+	22.0612i	0.200504	+	1.00800i	0.941634	+	0.336640i	$0.109290\pi$
$479$	4.38824	+	22.0612i	0.200504	+	1.00800i	−0.741130	+	0.671362i	$0.765710\pi$
$480$	−1.15920	+	0.0883423i	−0.0529101	+	0.00403225i
$481$	−6.98137	+	10.4484i	−0.318323	+	0.476404i
$482$	7.54124	−	5.03890i	0.343494	−	0.229515i
$483$	−1.57219	+	7.90392i	−0.0715370	+	0.359641i
$484$	10.0895	−	4.17922i	0.458615	−	0.189965i
$485$	12.1399	+	23.9725i	0.551244	+	1.08854i
$486$	10.3013	−	6.88308i	0.467275	−	0.312223i
$487$	−1.18721	−	1.77678i	−0.0537976	−	0.0805137i	0.803596	−	0.595176i	$-0.202917\pi$
$487$	−1.18721	−	1.77678i	−0.0537976	−	0.0805137i	−0.857393	+	0.514662i	$0.827917\pi$
$488$	−1.76696	−	8.88311i	−0.0799865	−	0.402119i
$489$	−3.64006	−	3.64006i	−0.164609	−	0.164609i
$490$	1.83088	+	6.55393i	0.0827109	+	0.296076i
$491$	−14.7586	+	35.6303i	−0.666045	+	1.60797i	0.122124	+	0.992515i	$0.461030\pi$
$491$	−14.7586	+	35.6303i	−0.666045	+	1.60797i	−0.788168	+	0.615460i	$0.788970\pi$
$492$	3.17660	+	3.17660i	0.143212	+	0.143212i
$493$	15.7028	+	6.46497i	0.707218	+	0.291168i
$494$		−	11.2302i		−	0.505272i
$495$	−0.775865	−	1.53209i	−0.0348725	−	0.0688624i
$496$	8.47506	−	1.68579i	0.380542	−	0.0756944i
$497$	−17.4557			−0.782997
$498$	−5.61620	+	1.11713i	−0.251668	+	0.0500598i
$499$	−3.78839	+	19.0455i	−0.169592	+	0.852595i	0.798499	+	0.601996i	$0.205628\pi$
$499$	−3.78839	+	19.0455i	−0.169592	+	0.852595i	−0.968091	+	0.250599i	$0.919372\pi$
$500$	−11.1747	+	0.355898i	−0.499747	+	0.0159162i
$501$	1.39508	+	3.36802i	0.0623275	+	0.150472i
$502$	−1.78434	+	4.30778i	−0.0796390	+	0.192265i
$503$	−36.1684	−	7.19433i	−1.61267	−	0.320779i	−0.695269	−	0.718750i	$-0.744715\pi$
$503$	−36.1684	−	7.19433i	−1.61267	−	0.320779i	−0.917398	+	0.397970i	$0.869715\pi$
$504$	−8.48445	−	1.68766i	−0.377927	−	0.0751744i
$505$	1.18997	−	0.332426i	0.0529529	−	0.0147927i
$506$	−0.973071	+	0.973071i	−0.0432583	+	0.0432583i
$507$	4.73317	+	3.16260i	0.210207	+	0.140456i
$508$	−3.67225	+	1.52109i	−0.162930	+	0.0674876i
$509$	29.9994			1.32970			0.664850	−	0.746977i	$-0.268496\pi$
$509$	29.9994			1.32970			0.664850	+	0.746977i	$0.268496\pi$
$510$	−4.61385	+	1.29956i	−0.204305	+	0.0575455i
$511$	−8.68896			−0.384377
$512$	−0.923880	+	0.382683i	−0.0408301	+	0.0169124i
$513$	−19.4228	−	12.9779i	−0.857539	−	0.572989i
$514$	15.8077	−	15.8077i	0.697247	−	0.697247i
$515$	−10.5264	+	18.6874i	−0.463847	+	0.823466i
$516$	3.47102	+	0.690428i	0.152803	+	0.0303944i
$517$	−0.712272	−	0.141680i	−0.0313257	−	0.00623106i
$518$	10.6413	−	25.6903i	0.467550	−	1.12877i
$519$	−0.959612	−	2.31671i	−0.0421223	−	0.101692i
$520$	−3.17922	−	0.384275i	−0.139418	−	0.0168516i
$521$	−0.719719	+	3.61827i	−0.0315314	+	0.158519i	−0.993343	−	0.115193i	$-0.963251\pi$
$521$	−0.719719	+	3.61827i	−0.0315314	+	0.158519i	0.961812	+	0.273712i	$0.0882515\pi$
$522$	11.0266	−	2.19332i	0.482620	−	0.0959990i
$523$	−13.8615			−0.606122			−0.303061	−	0.952971i	$-0.598009\pi$
$523$	−13.8615			−0.606122			−0.303061	+	0.952971i	$0.598009\pi$
$524$	16.2694	−	3.23618i	0.710731	−	0.141373i
$525$	8.00107	+	1.96286i	0.349195	+	0.0856664i
$526$			7.52893i			0.328277i
$527$	32.8869	−	13.7047i	1.43257	−	0.596987i
$528$	0.103437	+	0.103437i	0.00450152	+	0.00450152i
$529$	−0.352890	+	0.851952i	−0.0153430	+	0.0370414i
$530$	−4.46771	+	7.93151i	−0.194065	+	0.344523i
$531$	−0.512755	−	0.512755i	−0.0222517	−	0.0222517i
$532$	4.84814	+	24.3733i	0.210194	+	1.05671i
$533$	6.87495	+	10.2891i	0.297787	+	0.445670i
$534$	3.25507	−	2.17497i	0.140861	−	0.0941202i
$535$	−6.34678	+	3.21407i	−0.274395	+	0.138956i
$536$	4.15492	−	1.72102i	0.179465	−	0.0743370i
$537$	−1.62382	+	8.16350i	−0.0700730	+	0.352281i
$538$	−1.52657	+	1.02002i	−0.0658153	+	0.0439764i
$539$	0.475699	−	0.711935i	0.0204898	−	0.0306652i
$540$	−4.33859	+	5.05443i	−0.186703	+	0.217508i
$541$	−5.78650	−	29.0907i	−0.248781	−	1.25071i	−0.879952	−	0.475062i	$-0.842425\pi$
$541$	−5.78650	−	29.0907i	−0.248781	−	1.25071i	0.631171	−	0.775644i	$-0.282575\pi$
$542$	−2.24311	−	5.41534i	−0.0963498	−	0.232609i
$543$	−0.771974	+	0.771974i	−0.0331286	+	0.0331286i
$544$	−3.42333	+	2.29801i	−0.146774	+	0.0985262i
$545$	−1.94355	−	1.66829i	−0.0832525	−	0.0714618i
$546$	2.18007	+	0.903013i	0.0932982	+	0.0386454i
$547$	0.579802	−	0.867735i	0.0247905	−	0.0371017i	−0.818867	−	0.573983i	$-0.805398\pi$
$547$	0.579802	−	0.867735i	0.0247905	−	0.0371017i	0.843658	+	0.536881i	$0.180398\pi$
$548$			9.62756i			0.411269i
$549$	−20.5566	−	13.7355i	−0.877333	−	0.586215i
$550$	0.949800	+	1.03776i	0.0404996	+	0.0442501i
$551$	−17.9430	−	26.8536i	−0.764397	−	1.14400i
$552$	2.34935	+	0.973132i	0.0999949	+	0.0414192i
$553$	31.4557	+	13.0294i	1.33763	+	0.554066i
$554$	2.24134	+	3.35440i	0.0952252	+	0.142515i
$555$	−6.29538	−	8.02647i	−0.267224	−	0.340705i
$556$	14.6775	+	9.80720i	0.622465	+	0.415918i
$557$		−	38.7407i		−	1.64150i	−0.571289	−	0.820749i	$-0.693556\pi$
$557$		−	38.7407i		−	1.64150i	0.571289	−	0.820749i	$-0.306444\pi$
$558$	13.1045	−	19.6123i	0.554759	−	0.830255i
$559$	9.00641	+	3.73058i	0.380930	+	0.157787i
$560$	7.06585	−	0.538484i	0.298586	−	0.0227551i
$561$	0.502206	+	0.334011i	0.0212032	+	0.0141020i
$562$	−13.8010	+	13.8010i	−0.582158	+	0.582158i
$563$	−2.90463	−	7.01239i	−0.122415	−	0.295537i	0.850778	−	0.525525i	$-0.176131\pi$
$563$	−2.90463	−	7.01239i	−0.122415	−	0.295537i	−0.973193	+	0.229988i	$0.926131\pi$
$564$	0.261806	+	1.31619i	0.0110240	+	0.0554216i
$565$	28.3498	+	24.3347i	1.19269	+	1.02377i
$566$	9.30491	−	13.9258i	0.391115	−	0.585344i
$567$	−17.4972	+	11.6913i	−0.734813	+	0.490987i
$568$	−1.07458	+	5.40226i	−0.0450882	+	0.226674i
$569$	6.70678	−	2.77804i	0.281163	−	0.116461i	−0.237646	−	0.971352i	$-0.576376\pi$
$569$	6.70678	−	2.77804i	0.281163	−	0.116461i	0.518809	+	0.854890i	$0.326376\pi$
$570$	8.66314	+	2.83857i	0.362859	+	0.118895i
$571$	−6.04123	+	4.03662i	−0.252818	+	0.168927i	−0.675521	−	0.737341i	$-0.736081\pi$
$571$	−6.04123	+	4.03662i	−0.252818	+	0.168927i	0.422703	+	0.906268i	$0.361081\pi$
$572$	0.223864	+	0.335036i	0.00936022	+	0.0140086i
$573$	−0.289194	−	1.45387i	−0.0120812	−	0.0607365i
$574$	−19.3627	−	19.3627i	−0.808185	−	0.808185i
$575$	22.1578	+	10.3483i	0.924043	+	0.431554i
$576$	−1.04461	+	2.52190i	−0.0435253	+	0.105079i
$577$	24.2855	+	24.2855i	1.01102	+	1.01102i	0.999939	+	0.0110796i	$0.00352681\pi$
$577$	24.2855	+	24.2855i	1.01102	+	1.01102i	0.0110796	+	0.999939i	$0.496473\pi$
$578$	−11.9693	+	12.0722i	−0.497855	+	0.502135i
$579$			6.15256i			0.255692i
$580$	−8.21610	+	4.16070i	−0.341155	+	0.172764i
$581$	34.2332	−	6.80940i	1.42023	−	0.282501i
$582$	−6.24788			−0.258983
$583$	1.12343	−	0.223464i	0.0465276	−	0.00925492i
$584$	−0.534893	+	2.68909i	−0.0221340	+	0.111275i
$585$	−6.87820	+	5.39476i	−0.284378	+	0.223046i
$586$	−1.39979	−	3.37940i	−0.0578249	−	0.139602i
$587$	−9.61829	+	23.2206i	−0.396989	+	0.958417i	0.591387	+	0.806388i	$0.298581\pi$
$587$	−9.61829	+	23.2206i	−0.396989	+	0.958417i	−0.988376	+	0.152029i	$0.951419\pi$
$588$	−1.55182	−	0.308675i	−0.0639958	−	0.0127296i
$589$	−66.4578	−	13.2193i	−2.73835	−	0.544691i
$590$	0.517554	+	0.291531i	0.0213074	+	0.0120021i
$591$	3.33580	−	3.33580i	0.137216	−	0.137216i
$592$	−7.29563	−	4.87479i	−0.299849	−	0.200352i
$593$	−36.3313	+	15.0489i	−1.49195	+	0.617985i	−0.971740	−	0.236054i	$-0.924146\pi$
$593$	−36.3313	+	15.0489i	−1.49195	+	0.617985i	−0.520209	+	0.854039i	$0.674146\pi$
$594$	0.838151			0.0343898
$595$	28.1234	−	7.92138i	1.15295	−	0.324745i
$596$	−16.9374			−0.693784
$597$	6.00245	−	2.48629i	0.245664	−	0.101757i
$598$	5.82414	+	3.89157i	0.238167	+	0.159138i
$599$	30.4413	−	30.4413i	1.24380	−	1.24380i	0.285387	−	0.958412i	$-0.407878\pi$
$599$	30.4413	−	30.4413i	1.24380	−	1.24380i	0.958412	−	0.285387i	$-0.0921220\pi$
$600$	1.10002	−	2.35536i	0.0449081	−	0.0961573i
$601$	−2.94028	−	0.584859i	−0.119937	−	0.0238569i	0.134757	−	0.990879i	$-0.456975\pi$
$601$	−2.94028	−	0.584859i	−0.119937	−	0.0238569i	−0.254694	+	0.967022i	$0.581975\pi$
$602$	−21.1574	−	4.20846i	−0.862309	−	0.171524i
$603$	4.69786	−	11.3416i	0.191312	−	0.461867i
$604$	−2.46519	−	5.95150i	−0.100307	−	0.242163i
$605$	−2.93030	+	24.2433i	−0.119134	+	0.985630i
$606$	−0.0560449	+	0.281756i	−0.00227667	+	0.0114456i
$607$	−25.8899	+	5.14982i	−1.05084	+	0.209025i	−0.690153	−	0.723663i	$-0.742457\pi$
$607$	−25.8899	+	5.14982i	−1.05084	+	0.209025i	−0.360684	+	0.932688i	$0.617457\pi$
$608$	7.84157			0.318018
$609$	6.65573	−	1.32391i	0.269704	−	0.0536474i
$610$	19.2456	+	6.30603i	0.779231	+	0.255324i
$611$			3.69656i			0.149547i
$612$	−2.17207	+	11.0432i	−0.0878009	+	0.446395i
$613$	1.94977	+	1.94977i	0.0787506	+	0.0787506i	0.745385	−	0.666634i	$-0.232266\pi$
$613$	1.94977	+	1.94977i	0.0787506	+	0.0787506i	−0.666634	+	0.745385i	$0.732266\pi$
$614$	−7.01744	+	16.9416i	−0.283201	+	0.683707i
$615$	−9.67486	+	2.70274i	−0.390128	+	0.108985i
$616$	−0.630494	−	0.630494i	−0.0254033	−	0.0254033i
$617$	−5.52626	−	27.7824i	−0.222479	−	1.11848i	−0.916964	−	0.398970i	$-0.869368\pi$
$617$	−5.52626	−	27.7824i	−0.222479	−	1.11848i	0.694485	−	0.719507i	$-0.255632\pi$
$618$	−2.77062	−	4.14652i	−0.111451	−	0.166798i
$619$	−29.0829	+	19.4326i	−1.16894	+	0.781061i	−0.979621	−	0.200854i	$-0.935628\pi$
$619$	−29.0829	+	19.4326i	−1.16894	+	0.781061i	−0.189320	+	0.981916i	$0.560628\pi$
$620$	−6.01636	+	18.3615i	−0.241623	+	0.737417i
$621$	13.4610	−	5.57574i	0.540173	−	0.223747i
$622$	−1.14970	+	5.77994i	−0.0460988	+	0.231755i
$623$	−19.8411	+	13.2574i	−0.794916	+	0.531146i
$624$	0.413672	−	0.619104i	0.0165601	−	0.0247840i
$625$	11.5699	−	22.1616i	0.462797	−	0.886464i
$626$	1.06893	+	5.37387i	0.0427230	+	0.214783i
$627$	−0.438969	−	1.05977i	−0.0175307	−	0.0423230i
$628$	−16.4340	+	16.4340i	−0.655787	+	0.655787i
$629$	−33.4534	−	13.7730i	−1.33387	−	0.549167i
$630$	12.5990	−	14.6777i	0.501956	−	0.584775i
$631$	36.3969	+	15.0761i	1.44894	+	0.600170i	0.961947	−	0.273237i	$-0.0880942\pi$
$631$	36.3969	+	15.0761i	1.44894	+	0.600170i	0.486992	+	0.873407i	$0.338094\pi$
$632$	5.96880	−	8.93293i	0.237426	−	0.355333i
$633$		−	3.87039i		−	0.153834i
$634$	19.8279	+	13.2485i	0.787465	+	0.526167i
$635$	1.06653	−	8.82373i	0.0423239	−	0.350159i
$636$	−1.17593	−	1.75991i	−0.0466288	−	0.0697849i
$637$	−4.02657	−	1.66786i	−0.159538	−	0.0660830i
$638$	1.07060	+	0.443458i	0.0423855	+	0.0175567i
$639$	8.35322	+	12.5015i	0.330448	+	0.494551i
$640$	0.268322	−	2.21991i	0.0106064	−	0.0877497i
$641$	13.9969	+	9.35244i	0.552845	+	0.369399i	0.800392	−	0.599476i	$-0.204625\pi$
$641$	13.9969	+	9.35244i	0.552845	+	0.369399i	−0.247547	+	0.968876i	$0.579625\pi$
$642$		−	1.65414i		−	0.0652838i
$643$	5.74218	−	8.59378i	0.226449	−	0.338905i	−0.700795	−	0.713363i	$-0.747171\pi$
$643$	5.74218	−	8.59378i	0.226449	−	0.338905i	0.927244	+	0.374458i	$0.122171\pi$
$644$	−14.3203	−	5.93166i	−0.564299	−	0.233740i
$645$	−5.15429	+	6.00471i	−0.202950	+	0.236435i
$646$	31.6968	−	6.37543i	1.24709	−	0.250838i
$647$	−25.8429	+	25.8429i	−1.01599	+	1.01599i	−0.0161200	+	0.999870i	$0.505131\pi$
$647$	−25.8429	+	25.8429i	−1.01599	+	1.01599i	−0.999870	+	0.0161200i	$0.994869\pi$
$648$	2.54112	+	6.13481i	0.0998246	+	0.240998i
$649$	−0.0145817	−	0.0733070i	−0.000572380	−	0.00287755i
$650$	4.23761	−	5.77220i	0.166213	−	0.226404i
$651$	7.91000	−	11.8382i	0.310017	−	0.463974i
$652$	8.23261	−	5.50085i	0.322414	−	0.215430i
$653$	2.80770	−	14.1152i	0.109874	−	0.552372i	−0.886159	−	0.463382i	$-0.846636\pi$
$653$	2.80770	−	14.1152i	0.109874	−	0.552372i	0.996032	−	0.0889906i	$-0.0283641\pi$
$654$	0.550217	−	0.227907i	0.0215152	−	0.00891188i
$655$	−11.5495	+	35.2482i	−0.451275	+	1.37726i
$656$	−7.18442	+	4.80047i	−0.280504	+	0.187427i
$657$	4.15799	+	6.22287i	0.162219	+	0.242777i
$658$	−1.59582	−	8.02274i	−0.0622117	−	0.312759i
$659$	−18.8330	−	18.8330i	−0.733630	−	0.733630i	0.237707	−	0.971337i	$-0.423604\pi$
$659$	−18.8330	−	18.8330i	−0.733630	−	0.733630i	−0.971337	+	0.237707i	$0.923604\pi$
$660$	−0.315035	+	0.0880072i	−0.0122627	+	0.00342567i
$661$	14.6271	−	35.3131i	0.568930	−	1.37352i	−0.333528	−	0.942740i	$-0.608239\pi$
$661$	14.6271	−	35.3131i	0.568930	−	1.37352i	0.902458	−	0.430778i	$-0.141761\pi$
$662$	−9.78245	−	9.78245i	−0.380206	−	0.380206i
$663$	1.16878	−	2.83884i	0.0453915	−	0.110251i
$664$		−	11.0138i		−	0.427418i
$665$	−52.8056	−	17.3023i	−2.04771	−	0.670955i
$666$	−23.4911	+	4.67267i	−0.910262	+	0.181062i
$667$	20.1444			0.779992
$668$	−6.87703	+	1.36793i	−0.266080	+	0.0529267i
$669$	−1.87930	+	9.44790i	−0.0726581	+	0.365277i
$670$	−1.20671	+	9.98350i	−0.0466194	+	0.385696i
$671$	−0.975192	−	2.35432i	−0.0376469	−	0.0908876i
$672$	−0.630534	+	1.52224i	−0.0243234	+	0.0587218i
$673$	39.6540	+	7.88767i	1.52855	+	0.304047i	0.886541	−	0.462650i	$-0.153101\pi$
$673$	39.6540	+	7.88767i	1.52855	+	0.304047i	0.642008	+	0.766698i	$0.278101\pi$
$674$	−3.30979	−	0.658358i	−0.127488	−	0.0253590i
$675$	−5.08602	−	13.9995i	−0.195761	−	0.538841i
$676$	−7.74209	+	7.74209i	−0.297773	+	0.297773i
$677$	6.94924	+	4.64334i	0.267081	+	0.178458i	0.681899	−	0.731447i	$-0.261155\pi$
$677$	6.94924	+	4.64334i	0.267081	+	0.178458i	−0.414817	+	0.909905i	$0.636155\pi$
$678$	−8.02580	+	3.32439i	−0.308229	+	0.127673i
$679$	38.0836			1.46151
$680$	−0.720256	−	9.19137i	−0.0276206	−	0.352473i
$681$	1.84739			0.0707922
$682$	2.24618	−	0.930397i	0.0860105	−	0.0356267i
$683$	−8.07802	−	5.39756i	−0.309097	−	0.206532i	0.391340	−	0.920246i	$-0.372012\pi$
$683$	−8.07802	−	5.39756i	−0.309097	−	0.206532i	−0.700437	+	0.713714i	$0.747012\pi$
$684$	15.1356	−	15.1356i	0.578726	−	0.578726i
$685$	−18.7569	−	10.5655i	−0.716663	−	0.403686i
$686$	−12.2985	−	2.44632i	−0.469559	−	0.0934010i
$687$	−14.2933	−	2.84311i	−0.545323	−	0.108472i
$688$	−2.60490	+	6.28878i	−0.0993107	+	0.239757i
$689$	−2.23119	−	5.38657i	−0.0850016	−	0.205212i
$690$	−4.47412	+	3.50918i	−0.170327	+	0.133592i
$691$	−7.90957	+	39.7641i	−0.300894	+	1.51270i	0.473954	+	0.880550i	$0.342826\pi$
$691$	−7.90957	+	39.7641i	−0.300894	+	1.51270i	−0.774848	+	0.632147i	$0.782174\pi$
$692$	4.73040	−	0.940935i	0.179823	−	0.0357690i
$693$	−2.43394			−0.0924576
$694$	−26.8852	+	5.34779i	−1.02055	+	0.202999i
$695$	−35.2142	+	17.8328i	−1.33575	+	0.676437i
$696$		−	2.14134i		−	0.0811672i
$697$	−25.1376	+	25.2454i	−0.952153	+	0.956237i
$698$	18.8631	+	18.8631i	0.713977	+	0.713977i
$699$	2.16705	−	5.23172i	0.0819654	−	0.197882i
$700$	−6.70510	+	14.3570i	−0.253429	+	0.542642i
$701$	−6.03565	−	6.03565i	−0.227963	−	0.227963i	0.583878	−	0.811841i	$-0.301535\pi$
$701$	−6.03565	−	6.03565i	−0.227963	−	0.227963i	−0.811841	+	0.583878i	$0.801535\pi$
$702$	−0.832308	−	4.18430i	−0.0314135	−	0.157926i
$703$	38.2260	+	57.2092i	1.44172	+	2.15769i
$704$	−0.233941	+	0.156314i	−0.00881697	+	0.00589131i
$705$	−2.85157	−	0.934349i	−0.107396	−	0.0351896i
$706$	16.4972	−	6.83337i	0.620881	−	0.257177i
$707$	0.341618	−	1.71743i	0.0128479	−	0.0645905i
$708$	−0.114839	+	0.0767331i	−0.00431592	+	0.00288381i
$709$	4.94664	−	7.40317i	0.185775	−	0.278032i	−0.726879	−	0.686766i	$-0.759030\pi$
$709$	4.94664	−	7.40317i	0.185775	−	0.278032i	0.912653	+	0.408734i	$0.134030\pi$
$710$	−9.34568	−	8.02209i	−0.350737	−	0.301064i
$711$	−5.72133	−	28.7630i	−0.214566	−	1.07870i
$712$	2.88152	+	6.95661i	0.107990	+	0.260710i
$713$	29.8851	−	29.8851i	1.11920	−	1.11920i
$714$	−1.31108	+	6.66578i	−0.0490660	+	0.249460i
$715$	−0.898406	+	0.0684670i	−0.0335985	+	0.00256052i
$716$	−14.7906	−	6.12646i	−0.552750	−	0.228957i
$717$	−5.66830	+	8.48321i	−0.211686	+	0.316811i
$718$			13.0021i			0.485234i
$719$	−2.35890	−	1.57616i	−0.0879720	−	0.0587810i	0.510806	−	0.859696i	$-0.329347\pi$
$719$	−2.35890	−	1.57616i	−0.0879720	−	0.0587810i	−0.598778	+	0.800915i	$0.704347\pi$
$720$	−3.76692	−	4.80274i	−0.140385	−	0.178988i
$721$	16.8881	+	25.2748i	0.628946	+	0.941284i
$722$	−39.2558	−	16.2603i	−1.46095	−	0.605145i
$723$	−4.35656	−	1.80455i	−0.162022	−	0.0671118i
$724$	−1.16661	−	1.74595i	−0.0433566	−	0.0648877i
$725$	0.910428	−	20.5730i	0.0338125	−	0.764063i
$726$	−4.72100	−	3.15447i	−0.175213	−	0.117074i
$727$			31.7549i			1.17772i	0.808234	+	0.588862i	$0.200424\pi$
$727$			31.7549i			1.17772i	−0.808234	+	0.588862i	$0.799576\pi$
$728$	−2.52151	+	3.77371i	−0.0934535	+	0.139863i
$729$	12.4534	+	5.15837i	0.461237	+	0.191051i
$730$	−4.65201	−	3.99316i	−0.172179	−	0.147794i
$731$	−5.41642	+	27.5380i	−0.200334	+	1.01853i
$732$	−3.32972	+	3.32972i	−0.123070	+	0.123070i
$733$	−8.69326	−	20.9874i	−0.321093	−	0.775187i	−0.999191	−	0.0402153i	$-0.987196\pi$
$733$	−8.69326	−	20.9874i	−0.321093	−	0.775187i	0.678098	−	0.734971i	$-0.262804\pi$
$734$	−6.99762	−	35.1794i	−0.258287	−	1.29850i
$735$	2.30437	−	2.68458i	0.0849980	−	0.0990220i
$736$	−2.71731	+	4.06674i	−0.100161	+	0.149902i
$737$	1.05209	−	0.702985i	0.0387543	−	0.0258948i
$738$	−4.60144	+	23.1330i	−0.169381	+	0.851538i
$739$	−9.96337	+	4.12696i	−0.366509	+	0.151813i	−0.558334	−	0.829616i	$-0.688559\pi$
$739$	−9.96337	+	4.12696i	−0.366509	+	0.151813i	0.191826	+	0.981429i	$0.438559\pi$
$740$	17.5037	−	8.86401i	0.643447	−	0.325847i
$741$	−4.85475	+	3.24384i	−0.178344	+	0.119165i
$742$	7.16783	+	10.7274i	0.263139	+	0.393816i
$743$	0.279826	+	1.40678i	0.0102658	+	0.0516098i	0.985579	−	0.169218i	$-0.0541242\pi$
$743$	0.279826	+	1.40678i	0.0102658	+	0.0516098i	−0.975313	+	0.220828i	$0.929124\pi$
$744$	−3.17677	−	3.17677i	−0.116466	−	0.116466i
$745$	18.5875	−	32.9983i	0.680992	−	1.20896i
$746$	−0.746436	+	1.80206i	−0.0273290	+	0.0659780i
$747$	−21.2586	−	21.2586i	−0.777811	−	0.777811i
$748$	−0.818536	+	0.822046i	−0.0299286	+	0.0300570i
$749$			10.0827i			0.368415i
$750$	3.38165	+	4.72793i	0.123480	+	0.172640i
$751$	0.679292	−	0.135120i	0.0247877	−	0.00493058i	−0.182681	−	0.983172i	$-0.558478\pi$
$751$	0.679292	−	0.135120i	0.0247877	−	0.00493058i	0.207469	+	0.978242i	$0.433478\pi$
$752$	−2.58114			−0.0941247
$753$	2.37763	−	0.472940i	0.0866456	−	0.0172349i
$754$	1.15073	−	5.78512i	0.0419072	−	0.210682i
$755$	14.3003	+	1.72849i	0.520443	+	0.0629062i
$756$	3.61276	+	8.72198i	0.131395	+	0.317215i
$757$	1.75279	−	4.23160i	0.0637061	−	0.153800i	−0.888820	−	0.458256i	$-0.848474\pi$
$757$	1.75279	−	4.23160i	0.0637061	−	0.153800i	0.952527	+	0.304455i	$0.0984745\pi$
$758$	−5.80306	−	1.15430i	−0.210777	−	0.0419261i
$759$	0.701723	+	0.139581i	0.0254709	+	0.00506648i
$760$	−8.60549	+	15.2773i	−0.312154	+	0.554166i
$761$	20.1043	−	20.1043i	0.728779	−	0.728779i	−0.241597	−	0.970377i	$-0.577671\pi$
$761$	20.1043	−	20.1043i	0.728779	−	0.728779i	0.970377	+	0.241597i	$0.0776713\pi$
$762$	1.71828	+	1.14812i	0.0622469	+	0.0415920i
$763$	−3.35381	+	1.38919i	−0.121416	+	0.0502922i
$764$	2.85116			0.103151
$765$	−19.1312	−	16.3508i	−0.691691	−	0.591164i
$766$	−0.695806			−0.0251405
$767$	−0.351490	+	0.145592i	−0.0126916	+	0.00525702i
$768$	0.432293	+	0.288849i	0.0155990	+	0.0104229i
$769$	−12.1567	+	12.1567i	−0.438380	+	0.438380i	−0.891467	−	0.453086i	$-0.850323\pi$
$769$	−12.1567	+	12.1567i	−0.438380	+	0.438380i	0.453086	+	0.891467i	$0.350323\pi$
$770$	1.92028	−	0.536442i	0.0692019	−	0.0193320i
$771$	−11.3996	−	2.26752i	−0.410546	−	0.0816627i
$772$	−11.6064	−	2.30866i	−0.417723	−	0.0830904i
$773$	4.21702	−	10.1808i	0.151676	−	0.366177i	−0.829718	−	0.558182i	$-0.811499\pi$
$773$	4.21702	−	10.1808i	0.151676	−	0.366177i	0.981394	+	0.192005i	$0.0614990\pi$
$774$	7.11056	+	17.1664i	0.255584	+	0.617034i
$775$	−29.1704	−	31.8717i	−1.04783	−	1.14486i
$776$	2.34443	−	11.7862i	0.0841600	−	0.423101i
$777$	−14.1794	+	2.82047i	−0.508685	+	0.101184i
$778$	7.55669			0.270920
$779$	66.4541	−	13.2185i	2.38097	−	0.473604i
$780$	0.752196	+	1.48535i	0.0269329	+	0.0531842i
$781$			1.54975i			0.0554544i
$782$	−7.67739	+	18.6476i	−0.274543	+	0.666838i
$783$	−8.67563	−	8.67563i	−0.310042	−	0.310042i
$784$	1.16459	−	2.81157i	0.0415926	−	0.100413i
$785$	−13.9825	−	50.0524i	−0.499056	−	1.78645i
$786$	−6.09838	−	6.09838i	−0.217522	−	0.217522i
$787$	−1.27980	−	6.43401i	−0.0456201	−	0.229348i	0.951248	−	0.308426i	$-0.0998022\pi$
$787$	−1.27980	−	6.43401i	−0.0456201	−	0.229348i	−0.996868	+	0.0790785i	$0.974802\pi$
$788$	5.04106	+	7.54448i	0.179580	+	0.268761i
$789$	3.25470	−	2.17472i	0.115871	−	0.0774222i
$790$	10.8533	+	21.4319i	0.386143	+	0.762512i
$791$	48.9207	−	20.2636i	1.73942	−	0.720492i
$792$	−0.149833	+	0.753263i	−0.00532409	+	0.0267660i
$793$	−10.7851	+	7.20635i	−0.382989	+	0.255905i
$794$	−9.29416	+	13.9097i	−0.329837	+	0.493636i
$795$	4.71923	−	0.359650i	0.167374	−	0.0127555i
$796$	2.43790	+	12.2562i	0.0864092	+	0.434408i
$797$	10.3939	+	25.0932i	0.368172	+	0.888845i	0.994050	+	0.108925i	$0.0347407\pi$
$797$	10.3939	+	25.0932i	0.368172	+	0.888845i	−0.625878	+	0.779921i	$0.715259\pi$
$798$	9.13601	−	9.13601i	0.323411	−	0.323411i
$799$	−10.4334	+	2.09855i	−0.369106	+	0.0742413i
$800$	4.03047	+	2.95893i	0.142499	+	0.104614i
$801$	18.9894	+	7.86566i	0.670957	+	0.277919i
$802$	10.1032	−	15.1205i	0.356756	−	0.533923i
$803$			0.771419i			0.0272228i
$804$	−1.94413	−	1.29903i	−0.0685643	−	0.0458132i
$805$	27.2717	−	21.3900i	0.961202	−	0.753897i
$806$	−6.87533	−	10.2897i	−0.242173	−	0.362438i
$807$	0.881899	+	0.365295i	0.0310443	+	0.0128590i
$808$	−0.510485	−	0.211450i	−0.0179588	−	0.00743878i
$809$	17.3258	+	25.9300i	0.609144	+	0.911649i	0.999961	−	0.00881956i	$-0.00280739\pi$
$809$	17.3258	+	25.9300i	0.609144	+	0.911649i	−0.390817	+	0.920469i	$0.627807\pi$
$810$	−14.7408	−	1.78173i	−0.517939	−	0.0626036i
$811$	12.5844	+	8.40864i	0.441899	+	0.295267i	0.756545	−	0.653942i	$-0.226886\pi$
$811$	12.5844	+	8.40864i	0.441899	+	0.295267i	−0.314646	+	0.949209i	$0.601886\pi$
$812$			13.0524i			0.458049i
$813$	−1.69310	+	2.53390i	−0.0593795	+	0.0888677i
$814$	−2.28082	−	0.944747i	−0.0799428	−	0.0331134i
$815$	1.68239	+	22.0759i	0.0589317	+	0.773285i
$816$	1.98224	+	0.816104i	0.0693922	+	0.0285694i
$817$	37.7432	−	37.7432i	1.32047	−	1.32047i
$818$	−8.34979	−	20.1582i	−0.291944	−	0.704814i
$819$	2.41697	+	12.1509i	0.0844557	+	0.424588i
$820$	−1.46819	−	19.2652i	−0.0512713	−	0.672768i
$821$	9.00841	−	13.4820i	0.314396	−	0.470526i	−0.640294	−	0.768130i	$-0.721187\pi$
$821$	9.00841	−	13.4820i	0.314396	−	0.470526i	0.954689	+	0.297604i	$0.0961874\pi$
$822$	4.16193	−	2.78091i	0.145164	−	0.0969954i
$823$	0.910422	−	4.57700i	0.0317353	−	0.159544i	−0.961668	−	0.274216i	$-0.911582\pi$
$823$	0.910422	−	4.57700i	0.0317353	−	0.159544i	0.993403	+	0.114672i	$0.0365817\pi$
$824$	8.86178	−	3.67067i	0.308715	−	0.127874i
$825$	0.174266	−	0.710347i	0.00606717	−	0.0247311i
$826$	0.699995	−	0.467722i	0.0243559	−	0.0162741i
$827$	29.2788	+	43.8189i	1.01813	+	1.52373i	0.842082	+	0.539349i	$0.181330\pi$
$827$	29.2788	+	43.8189i	1.01813	+	1.52373i	0.176043	+	0.984382i	$0.443670\pi$
$828$	2.60465	+	13.0944i	0.0905178	+	0.455063i
$829$	5.55667	+	5.55667i	0.192991	+	0.192991i	0.796987	−	0.603996i	$-0.206426\pi$
$829$	5.55667	+	5.55667i	0.192991	+	0.192991i	−0.603996	+	0.796987i	$0.706426\pi$
$830$	21.4576	+	12.0867i	0.744803	+	0.419537i
$831$	0.802675	−	1.93783i	0.0278445	−	0.0672225i
$832$	1.01268	+	1.01268i	0.0351082	+	0.0351082i
$833$	2.42156	−	12.3117i	0.0839022	−	0.426574i
$834$		−	9.17779i		−	0.317801i
$835$	4.88193	−	14.8993i	0.168946	−	0.515613i
$836$	2.16390	−	0.430426i	0.0748399	−	0.0148866i
$837$	−25.7414			−0.889753
$838$	−32.9487	+	6.55391i	−1.13820	+	0.226401i
$839$	−5.56494	+	27.9768i	−0.192123	+	0.965868i	0.757586	+	0.652735i	$0.226378\pi$
$839$	−5.56494	+	27.9768i	−0.192123	+	0.965868i	−0.949709	+	0.313133i	$0.898622\pi$
$840$	−2.27375	−	2.89898i	−0.0784517	−	0.100024i
$841$	4.60630	+	11.1206i	0.158838	+	0.383469i
$842$	−14.5939	+	35.2328i	−0.502939	+	1.21420i
$843$	9.95245	+	1.97967i	0.342781	+	0.0681833i
$844$	7.30125	+	1.45231i	0.251319	+	0.0499905i
$845$	−6.58719	−	23.5798i	−0.226606	−	0.811171i
$846$	−4.98208	+	4.98208i	−0.171287	+	0.171287i
$847$	28.7766	+	19.2279i	0.988774	+	0.660678i
$848$	3.76121	−	1.55794i	0.129160	−	0.0535000i
$849$	−8.70774			−0.298849
$850$	18.6975	+	8.68355i	0.641318	+	0.297843i
$851$	−42.9157			−1.47113
$852$	2.64575	−	1.09591i	0.0906420	−	0.0375451i
$853$	−17.2728	−	11.5413i	−0.591408	−	0.395166i	0.223545	−	0.974694i	$-0.428237\pi$
$853$	−17.2728	−	11.5413i	−0.591408	−	0.395166i	−0.814953	+	0.579528i	$0.803237\pi$
$854$	20.2961	−	20.2961i	0.694518	−	0.694518i
$855$	12.8778	+	46.0982i	0.440412	+	1.57652i
$856$	3.12044	+	0.620693i	0.106654	+	0.0212149i
$857$	−35.1512	−	6.99201i	−1.20074	−	0.238842i	−0.446102	−	0.894982i	$-0.647188\pi$
$857$	−35.1512	−	6.99201i	−1.20074	−	0.238842i	−0.754639	+	0.656140i	$0.772188\pi$
$858$	0.0801709	−	0.193550i	0.00273699	−	0.00660767i
$859$	−14.2377	−	34.3729i	−0.485785	−	1.17279i	−0.956822	−	0.290675i	$-0.906120\pi$
$859$	−14.2377	−	34.3729i	−0.485785	−	1.17279i	0.471037	−	0.882114i	$-0.343880\pi$
$860$	−9.39343	−	11.9764i	−0.320313	−	0.408392i
$861$	−2.77747	+	13.9633i	−0.0946559	+	0.475867i
$862$	17.5932	−	3.49951i	0.599228	−	0.119194i
$863$	25.0129			0.851448			0.425724	−	0.904853i	$-0.360019\pi$
$863$	25.0129			0.851448			0.425724	+	0.904853i	$0.360019\pi$
$864$	2.92171	−	0.581164i	0.0993986	−	0.0197716i
$865$	−3.35806	+	10.2486i	−0.114178	+	0.348463i
$866$			34.8317i			1.18363i
$867$	8.67602	+	1.68720i	0.294653	+	0.0573002i
$868$	19.3638	+	19.3638i	0.657250	+	0.657250i
$869$	1.15677	−	2.79269i	0.0392407	−	0.0947355i
$870$	4.17186	+	2.34995i	0.141439	+	0.0796707i
$871$	−4.55426	−	4.55426i	−0.154315	−	0.154315i
$872$	0.223471	+	1.12347i	0.00756770	+	0.0380454i
$873$	−18.2244	−	27.2747i	−0.616802	−	0.923110i
$874$	31.8896	−	21.3080i	1.07868	−	0.720753i
$875$	−20.6126	−	28.8188i	−0.696833	−	0.974254i
$876$	1.31698	−	0.545510i	0.0444966	−	0.0184311i
$877$	0.803548	−	4.03971i	0.0271339	−	0.136411i	−0.964844	−	0.262824i	$-0.915346\pi$
$877$	0.803548	−	4.03971i	0.0271339	−	0.136411i	0.991978	+	0.126412i	$0.0403462\pi$
$878$	3.26903	−	2.18430i	0.110324	−	0.0737164i
$879$	−1.05656	+	1.58126i	−0.0356370	+	0.0533345i
$880$	−0.0478075	−	0.627317i	−0.00161159	−	0.0211468i
$881$	9.29242	+	46.7161i	0.313069	+	1.57391i	0.741893	+	0.670518i	$0.233928\pi$
$881$	9.29242	+	46.7161i	0.313069	+	1.57391i	−0.428824	+	0.903388i	$0.641072\pi$
$882$	−3.17897	−	7.67472i	−0.107042	−	0.258421i
$883$	−1.23936	+	1.23936i	−0.0417078	+	0.0417078i	−0.727653	−	0.685945i	$-0.759389\pi$
$883$	−1.23936	+	1.23936i	−0.0417078	+	0.0417078i	0.685945	+	0.727653i	$0.259389\pi$
$884$	4.91672	+	3.27005i	0.165367	+	0.109984i
$885$	−0.0234682	−	0.307944i	−0.000788876	−	0.0103514i
$886$	22.8796	+	9.47702i	0.768654	+	0.318387i
$887$	22.3566	−	33.4591i	0.750662	−	1.12345i	−0.237702	−	0.971338i	$-0.576394\pi$
$887$	22.3566	−	33.4591i	0.750662	−	1.12345i	0.988364	−	0.152107i	$-0.0486059\pi$
$888$			4.56193i			0.153088i
$889$	−10.4737	−	6.99829i	−0.351276	−	0.234715i
$890$	−16.7154	−	2.02041i	−0.560303	−	0.0677241i
$891$	1.03797	+	1.55343i	0.0347732	+	0.0520418i
$892$	−17.1177	−	7.09037i	−0.573142	−	0.237403i
$893$	18.6995	+	7.74560i	0.625756	+	0.259197i
$894$	4.89236	+	7.32193i	0.163625	+	0.244882i
$895$	28.1674	−	22.0924i	0.941531	−	0.738469i
$896$	−2.63501	−	1.76066i	−0.0880297	−	0.0588195i
$897$		−	3.64181i		−	0.121597i
$898$	12.6342	−	18.9084i	0.421608	−	0.630981i
$899$	−32.8804	−	13.6195i	−1.09662	−	0.454236i
$900$	13.4908	−	2.06827i	0.449694	−	0.0689423i
$901$	13.9367	−	9.35541i	0.464299	−	0.311674i
$902$	−1.71905	+	1.71905i	−0.0572382	+	0.0572382i
$903$	4.29199	+	10.3618i	0.142829	+	0.344819i
$904$	−3.25969	−	16.3876i	−0.108416	−	0.545043i
$905$	4.68180	−	0.356798i	0.155628	−	0.0118604i
$906$	−1.86072	+	2.78477i	−0.0618184	+	0.0925178i
$907$	−5.00951	+	3.34725i	−0.166338	+	0.111143i	−0.635953	−	0.771728i	$-0.719393\pi$
$907$	−5.00951	+	3.34725i	−0.166338	+	0.111143i	0.469615	+	0.882871i	$0.344393\pi$
$908$	−0.693206	+	3.48498i	−0.0230049	+	0.115653i
$909$	−1.39347	+	0.577193i	−0.0462184	+	0.0191443i
$910$	−4.58496	−	9.05388i	−0.151990	−	0.300133i
$911$	41.2026	−	27.5307i	1.36510	−	0.912134i	0.365281	−	0.930897i	$-0.380973\pi$
$911$	41.2026	−	27.5307i	1.36510	−	0.912134i	0.999824	+	0.0187636i	$0.00597300\pi$
$912$	−2.26503	−	3.38986i	−0.0750026	−	0.112249i
$913$	−0.604549	−	3.03927i	−0.0200077	−	0.100585i
$914$	−15.1372	−	15.1372i	−0.500694	−	0.500694i
$915$	−2.83302	−	10.1412i	−0.0936567	−	0.335259i
$916$	10.7267	−	25.8965i	0.354420	−	0.855646i
$917$	37.1722	+	37.1722i	1.22754	+	1.22754i
$918$	11.3375	−	4.72459i	0.374193	−	0.155935i
$919$			22.2579i			0.734219i	0.930178	+	0.367109i	$0.119653\pi$
$919$			22.2579i			0.734219i	−0.930178	+	0.367109i	$0.880347\pi$
$920$	−4.94099	−	9.75691i	−0.162900	−	0.321676i
$921$	9.35072	−	1.85997i	0.308117	−	0.0612882i
$922$	−32.1892			−1.06009
$923$	7.73680	−	1.53894i	0.254660	−	0.0506550i
$924$	−0.0904407	+	0.454676i	−0.00297528	+	0.0149577i
$925$	−1.93959	+	43.8290i	−0.0637732	+	1.44109i
$926$	−14.7915	−	35.7097i	−0.486078	−	1.17350i
$927$	10.0198	−	24.1899i	0.329093	−	0.794500i
$928$	4.03950	+	0.803506i	0.132603	+	0.0263764i
$929$	23.2061	+	4.61598i	0.761368	+	0.151445i	0.560479	−	0.828169i	$-0.310617\pi$
$929$	23.2061	+	4.61598i	0.761368	+	0.151445i	0.200889	+	0.979614i	$0.435617\pi$
$930$	9.67539	−	2.70288i	0.317269	−	0.0886311i
$931$	−16.8742	+	16.8742i	−0.553028	+	0.553028i
$932$	9.05615	+	6.05113i	0.296644	+	0.198211i
$933$	2.83072	−	1.17252i	0.0926736	−	0.0383867i
$934$	−2.28843			−0.0748798
$935$	−0.703273	−	2.49684i	−0.0229995	−	0.0816554i
$936$	3.90930			0.127779
$937$	−22.7927	+	9.44106i	−0.744606	+	0.308426i	−0.722539	−	0.691330i	$-0.757025\pi$
$937$	−22.7927	+	9.44106i	−0.744606	+	0.308426i	−0.0220675	+	0.999756i	$0.507025\pi$
$938$	11.8503	+	7.91814i	0.386927	+	0.258536i
$939$	2.01433	−	2.01433i	0.0657352	−	0.0657352i
$940$	2.83260	−	5.02871i	0.0923892	−	0.164018i
$941$	13.2934	+	2.64422i	0.433352	+	0.0861990i	0.406946	−	0.913452i	$-0.366594\pi$
$941$	13.2934	+	2.64422i	0.433352	+	0.0861990i	0.0264059	+	0.999651i	$0.491594\pi$
$942$	11.8512	+	2.35736i	0.386134	+	0.0768069i
$943$	−16.1728	+	39.0446i	−0.526658	+	1.27147i
$944$	−0.101660	−	0.245430i	−0.00330876	−	0.00798806i
$945$	−20.9573	−	2.53312i	−0.681741	−	0.0824024i
$946$	−0.373634	+	1.87838i	−0.0121479	+	0.0610715i
$947$	26.1777	−	5.20707i	0.850661	−	0.169207i	0.249539	−	0.968365i	$-0.419721\pi$
$947$	26.1777	−	5.20707i	0.850661	−	0.169207i	0.601121	+	0.799158i	$0.294721\pi$
$948$	−5.58573			−0.181416
$949$	3.85115	−	0.766041i	0.125014	−	0.0248668i
$950$	−20.3202	−	33.5313i	−0.659273	−	1.08790i
$951$		−	12.3983i		−	0.402042i
$952$	−12.0826	−	4.97451i	−0.391599	−	0.161225i
$953$	−7.02796	−	7.02796i	−0.227658	−	0.227658i	0.584056	−	0.811714i	$-0.301465\pi$
$953$	−7.02796	−	7.02796i	−0.227658	−	0.227658i	−0.811714	+	0.584056i	$0.801465\pi$
$954$	4.25270	−	10.2669i	0.137686	−	0.332404i
$955$	−3.12892	+	5.55476i	−0.101249	+	0.179748i
$956$	−13.8761	−	13.8761i	−0.448784	−	0.448784i
$957$	−0.117539	−	0.590906i	−0.00379948	−	0.0191013i
$958$	12.4967	+	18.7026i	0.403749	+	0.604253i
$959$	−25.3688	+	16.9509i	−0.819200	+	0.547372i
$960$	−1.03716	+	0.525225i	−0.0334741	+	0.0169516i
$961$	−40.3445	+	16.7112i	−1.30144	+	0.539073i
$962$	−2.45153	+	12.3247i	−0.0790406	+	0.397364i
$963$	7.22106	−	4.82496i	0.232695	−	0.155482i
$964$	5.03890	−	7.54124i	0.162292	−	0.242887i
$965$	17.2349	−	20.0786i	0.554812	−	0.646352i
$966$	1.57219	+	7.90392i	0.0505843	+	0.254305i
$967$	−4.03708	−	9.74638i	−0.129824	−	0.313422i	0.845580	−	0.533849i	$-0.179255\pi$
$967$	−4.03708	−	9.74638i	−0.129824	−	0.313422i	−0.975404	+	0.220427i	$0.929255\pi$
$968$	7.72220	−	7.72220i	0.248201	−	0.248201i
$969$	−11.9116	−	11.8608i	−0.382657	−	0.381023i
$970$	20.3897	+	17.5020i	0.654673	+	0.561954i
$971$	−26.7504	−	11.0804i	−0.858462	−	0.355587i	−0.0903564	−	0.995909i	$-0.528801\pi$
$971$	−26.7504	−	11.0804i	−0.858462	−	0.355587i	−0.768106	+	0.640323i	$0.778801\pi$
$972$	6.88308	−	10.3013i	0.220775	−	0.330413i
$973$			55.9426i			1.79344i
$974$	−1.77678	−	1.18721i	−0.0569318	−	0.0380406i
$975$	−3.71931	−	0.164593i	−0.119113	−	0.00527118i
$976$	−5.03188	−	7.53074i	−0.161066	−	0.241053i
$977$	−0.0420147	−	0.0174030i	−0.00134417	−	0.000556773i	0.382011	−	0.924158i	$-0.375232\pi$
$977$	−0.0420147	−	0.0174030i	−0.00134417	−	0.000556773i	−0.383355	+	0.923601i	$0.625232\pi$
$978$	−4.75596	−	1.96998i	−0.152079	−	0.0629931i
$979$	1.17701	+	1.76152i	0.0376174	+	0.0562985i
$980$	4.19960	+	5.35439i	0.134151	+	0.171040i
$981$	2.59984	+	1.73715i	0.0830064	+	0.0554631i
$982$			38.5660i			1.23069i
$983$	−14.1343	+	21.1535i	−0.450815	+	0.674693i	−0.985368	−	0.170443i	$-0.945480\pi$
$983$	−14.1343	+	21.1535i	−0.450815	+	0.674693i	0.534552	+	0.845135i	$0.320480\pi$
$984$	4.15042	+	1.71916i	0.132311	+	0.0548049i
$985$	−20.2307	+	1.54177i	−0.644603	+	0.0491249i
$986$	16.9815	−	0.0363403i	0.540802	−	0.00115731i
$987$	−3.00723	+	3.00723i	−0.0957210	+	0.0957210i
$988$	−4.29762	−	10.3754i	−0.136726	−	0.330085i
$989$	6.49511	+	32.6531i	0.206533	+	1.03831i
$990$	−1.30311	−	1.11856i	−0.0414156	−	0.0355501i
$991$	1.52850	−	2.28756i	0.0485545	−	0.0726669i	−0.806398	−	0.591373i	$-0.798586\pi$
$991$	1.52850	−	2.28756i	0.0485545	−	0.0726669i	0.854953	+	0.518706i	$0.173586\pi$
$992$	7.18481	−	4.80074i	0.228118	−	0.152424i
$993$	−1.40323	+	7.05454i	−0.0445303	+	0.223869i
$994$	−16.1270	+	6.68002i	−0.511518	+	0.211877i
$995$	−26.5535	−	8.70053i	−0.841801	−	0.275825i
$996$	−4.76118	+	3.18132i	−0.150864	+	0.100804i
$997$	−1.99333	−	2.98323i	−0.0631295	−	0.0944799i	0.798562	−	0.601913i	$-0.205595\pi$
$997$	−1.99333	−	2.98323i	−0.0631295	−	0.0944799i	−0.861691	+	0.507433i	$0.830595\pi$
$998$	3.78839	+	19.0455i	0.119919	+	0.602876i
$999$	18.4827	+	18.4827i	0.584766	+	0.584766i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.r.b.23.3	yes	40
5.2	odd	4		170.2.o.b.57.3	yes	40
5.3	odd	4		850.2.s.d.57.3		40
5.4	even	2		850.2.v.d.193.3		40
17.3	odd	16		170.2.o.b.3.3	✓	40
85.3	even	16		850.2.v.d.207.3		40
85.37	even	16	inner	170.2.r.b.37.3	yes	40
85.54	odd	16		850.2.s.d.343.3		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.3.3	✓	40	17.3	odd	16
170.2.o.b.57.3	yes	40	5.2	odd	4
170.2.r.b.23.3	yes	40	1.1	even	1	trivial
170.2.r.b.37.3	yes	40	85.37	even	16	inner
850.2.s.d.57.3		40	5.3	odd	4
850.2.s.d.343.3		40	85.54	odd	16
850.2.v.d.193.3		40	5.4	even	2
850.2.v.d.207.3		40	85.3	even	16

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.923880 - 0.382683i) q^{2} +(-0.432293 - 0.288849i) q^{3} +(0.707107 - 0.707107i) q^{4} +(0.601626 + 2.15361i) q^{5} +(-0.509925 - 0.101430i) q^{6} +(3.10821 + 0.618262i) q^{7} +(0.382683 - 0.923880i) q^{8} +(-1.04461 - 2.52190i) q^{9} +O(q^{10})\)	\(q+(0.923880 - 0.382683i) q^{2} +(-0.432293 - 0.288849i) q^{3} +(0.707107 - 0.707107i) q^{4} +(0.601626 + 2.15361i) q^{5} +(-0.509925 - 0.101430i) q^{6} +(3.10821 + 0.618262i) q^{7} +(0.382683 - 0.923880i) q^{8} +(-1.04461 - 2.52190i) q^{9} +(1.37998 + 1.75945i) q^{10} +(0.0548902 - 0.275952i) q^{11} +(-0.509925 + 0.101430i) q^{12} -1.43214 q^{13} +(3.10821 - 0.618262i) q^{14} +(0.361990 - 1.10477i) q^{15} -1.00000i q^{16} +(-0.813030 - 4.04215i) q^{17} +(-1.93018 - 1.93018i) q^{18} +(-3.00084 + 7.24466i) q^{19} +(1.94825 + 1.09742i) q^{20} +(-1.16507 - 1.16507i) q^{21} +(-0.0548902 - 0.275952i) q^{22} +(-2.71731 - 4.06674i) q^{23} +(-0.432293 + 0.288849i) q^{24} +(-4.27609 + 2.59134i) q^{25} +(-1.32312 + 0.548056i) q^{26} +(-0.581164 + 2.92171i) q^{27} +(2.63501 - 1.76066i) q^{28} +(-2.28819 + 3.42452i) q^{29} +(-0.0883423 - 1.15920i) q^{30} +(1.68579 + 8.47506i) q^{31} +(-0.382683 - 0.923880i) q^{32} +(-0.103437 + 0.103437i) q^{33} +(-2.29801 - 3.42333i) q^{34} +(0.538484 + 7.06585i) q^{35} +(-2.52190 - 1.04461i) q^{36} +(4.87479 - 7.29563i) q^{37} +7.84157i q^{38} +(0.619104 + 0.413672i) q^{39} +(2.21991 + 0.268322i) q^{40} +(-4.80047 - 7.18442i) q^{41} +(-1.52224 - 0.630534i) q^{42} +(-6.28878 - 2.60490i) q^{43} +(-0.156314 - 0.233941i) q^{44} +(4.80274 - 3.76692i) q^{45} +(-4.06674 - 2.71731i) q^{46} -2.58114i q^{47} +(-0.288849 + 0.432293i) q^{48} +(2.81157 + 1.16459i) q^{49} +(-2.95893 + 4.03047i) q^{50} +(-0.816104 + 1.98224i) q^{51} +(-1.01268 + 1.01268i) q^{52} +(1.55794 + 3.76121i) q^{53} +(0.581164 + 2.92171i) q^{54} +(0.627317 - 0.0478075i) q^{55} +(1.76066 - 2.63501i) q^{56} +(3.38986 - 2.26503i) q^{57} +(-0.803506 + 4.03950i) q^{58} +(0.245430 - 0.101660i) q^{59} +(-0.525225 - 1.03716i) q^{60} +(7.53074 - 5.03188i) q^{61} +(4.80074 + 7.18481i) q^{62} +(-1.68766 - 8.48445i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(-0.861613 - 3.08427i) q^{65} +(-0.0559798 + 0.135147i) q^{66} +(3.18004 + 3.18004i) q^{67} +(-3.43313 - 2.28333i) q^{68} +2.54292i q^{69} +(3.20148 + 6.32192i) q^{70} +(-5.40226 + 1.07458i) q^{71} -2.72969 q^{72} +(-2.68909 + 0.534893i) q^{73} +(1.71180 - 8.60578i) q^{74} +(2.59703 + 0.114928i) q^{75} +(3.00084 + 7.24466i) q^{76} +(0.341221 - 0.823780i) q^{77} +(0.730283 + 0.145262i) q^{78} +(10.5371 + 2.09596i) q^{79} +(2.15361 - 0.601626i) q^{80} +(-4.69538 + 4.69538i) q^{81} +(-7.18442 - 4.80047i) q^{82} +(10.1754 - 4.21479i) q^{83} -1.64766 q^{84} +(8.21609 - 4.18281i) q^{85} -6.80692 q^{86} +(1.97834 - 0.819455i) q^{87} +(-0.233941 - 0.156314i) q^{88} +(-5.32436 + 5.32436i) q^{89} +(2.99562 - 5.31811i) q^{90} +(-4.45139 - 0.885437i) q^{91} +(-4.79705 - 0.954192i) q^{92} +(1.71926 - 4.15065i) q^{93} +(-0.987761 - 2.38467i) q^{94} +(-17.4076 - 2.10406i) q^{95} +(-0.101430 + 0.509925i) q^{96} +(11.7862 - 2.34443i) q^{97} +3.04323 q^{98} +(-0.753263 + 0.149833i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) \) 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

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