LMFDB - Embedded newform 504.2.w.a.205.1

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			205.1
Character	$\chi$	$=$	504.205
Dual form			504.2.w.a.445.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41403 - 0.0227401i) q^{2} +(1.48240 + 0.895821i) q^{3} +(1.99897 + 0.0643103i) q^{4} +3.06618i q^{5} +(-2.07579 - 1.30043i) q^{6} +(-1.96423 - 1.77251i) q^{7} +(-2.82514 - 0.136393i) q^{8} +(1.39501 + 2.65593i) q^{9} +O(q^{10})$	\(q+(-1.41403 - 0.0227401i) q^{2} +(1.48240 + 0.895821i) q^{3} +(1.99897 + 0.0643103i) q^{4} +3.06618i q^{5} +(-2.07579 - 1.30043i) q^{6} +(-1.96423 - 1.77251i) q^{7} +(-2.82514 - 0.136393i) q^{8} +(1.39501 + 2.65593i) q^{9} +(0.0697253 - 4.33568i) q^{10} +0.561747i q^{11} +(2.90565 + 1.88605i) q^{12} +(-3.64401 + 2.10387i) q^{13} +(2.73718 + 2.55105i) q^{14} +(-2.74675 + 4.54531i) q^{15} +(3.99173 + 0.257108i) q^{16} +(2.62656 + 4.54934i) q^{17} +(-1.91219 - 3.78728i) q^{18} +(-1.52590 - 0.880977i) q^{19} +(-0.197187 + 6.12920i) q^{20} +(-1.32393 - 4.38716i) q^{21} +(0.0127742 - 0.794328i) q^{22} -4.73570 q^{23} +(-4.06579 - 2.73301i) q^{24} -4.40148 q^{25} +(5.20058 - 2.89207i) q^{26} +(-0.311273 + 5.18682i) q^{27} +(-3.81245 - 3.66950i) q^{28} +(3.85410 + 2.22517i) q^{29} +(3.98735 - 6.36474i) q^{30} +(2.53938 - 4.39833i) q^{31} +(-5.63858 - 0.454331i) q^{32} +(-0.503225 + 0.832733i) q^{33} +(-3.61059 - 6.49263i) q^{34} +(5.43484 - 6.02270i) q^{35} +(2.61777 + 5.39882i) q^{36} +(0.260575 + 0.150443i) q^{37} +(2.13763 + 1.28043i) q^{38} +(-7.28656 - 0.145606i) q^{39} +(0.418207 - 8.66239i) q^{40} +(-4.69344 - 8.12928i) q^{41} +(1.77231 + 6.23369i) q^{42} +(-0.820087 - 0.473478i) q^{43} +(-0.0361262 + 1.12291i) q^{44} +(-8.14356 + 4.27736i) q^{45} +(6.69642 + 0.107690i) q^{46} +(4.78197 + 8.28261i) q^{47} +(5.68701 + 3.95701i) q^{48} +(0.716430 + 6.96324i) q^{49} +(6.22383 + 0.100090i) q^{50} +(-0.181780 + 9.09686i) q^{51} +(-7.41955 + 3.97122i) q^{52} +(-3.14379 + 1.81507i) q^{53} +(0.558098 - 7.32725i) q^{54} -1.72242 q^{55} +(5.30747 + 5.27549i) q^{56} +(-1.47279 - 2.67289i) q^{57} +(-5.39922 - 3.23410i) q^{58} +(11.7030 + 6.75673i) q^{59} +(-5.78297 + 8.90927i) q^{60} +(-1.46804 + 0.847572i) q^{61} +(-3.69078 + 6.16163i) q^{62} +(1.96752 - 7.68953i) q^{63} +(7.96279 + 0.770660i) q^{64} +(-6.45085 - 11.1732i) q^{65} +(0.730512 - 1.16607i) q^{66} +(4.20442 + 2.42742i) q^{67} +(4.95784 + 9.26289i) q^{68} +(-7.02019 - 4.24233i) q^{69} +(-7.82198 + 8.39270i) q^{70} -6.26054 q^{71} +(-3.57884 - 7.69363i) q^{72} +(6.45744 + 11.1846i) q^{73} +(-0.365040 - 0.218656i) q^{74} +(-6.52475 - 3.94294i) q^{75} +(-2.99356 - 1.85917i) q^{76} +(0.995702 - 1.10340i) q^{77} +(10.3001 + 0.371588i) q^{78} +(-6.59270 - 11.4189i) q^{79} +(-0.788341 + 12.2394i) q^{80} +(-5.10789 + 7.41009i) q^{81} +(6.45181 + 11.6018i) q^{82} +(-3.75844 - 2.16993i) q^{83} +(-2.36435 - 8.85493i) q^{84} +(-13.9491 + 8.05352i) q^{85} +(1.14886 + 0.688161i) q^{86} +(3.71996 + 6.75117i) q^{87} +(0.0766186 - 1.58701i) q^{88} +(4.86997 - 8.43504i) q^{89} +(11.6125 - 5.86313i) q^{90} +(10.8868 + 2.32654i) q^{91} +(-9.46649 - 0.304554i) q^{92} +(7.70449 - 4.24525i) q^{93} +(-6.57350 - 11.8206i) q^{94} +(2.70124 - 4.67868i) q^{95} +(-7.95162 - 5.72466i) q^{96} +(3.52525 - 6.10591i) q^{97} +(-0.854709 - 9.86253i) q^{98} +(-1.49196 + 0.783643i) 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 $

$2$	−1.41403	−	0.0227401i	−0.999871	−	0.0160797i
$2$	−1.41403	−	0.0227401i	−0.999871	−	0.0160797i
$3$	1.48240	+	0.895821i	0.855863	+	0.517202i
$3$	1.48240	+	0.895821i	0.855863	+	0.517202i
$4$	1.99897	+	0.0643103i	0.999483	+	0.0321552i
$5$			3.06618i			1.37124i	0.727960	+	0.685620i	$0.240469\pi$
$5$			3.06618i			1.37124i	−0.727960	+	0.685620i	$0.759531\pi$
$6$	−2.07579	−	1.30043i	−0.847436	−	0.530897i
$7$	−1.96423	−	1.77251i	−0.742411	−	0.669945i
$7$	−1.96423	−	1.77251i	−0.742411	−	0.669945i
$8$	−2.82514	−	0.136393i	−0.998837	−	0.0482224i
$9$	1.39501	+	2.65593i	0.465004	+	0.885309i
$10$	0.0697253	−	4.33568i	0.0220491	−	1.37106i
$11$			0.561747i			0.169373i	0.996408	+	0.0846866i	$0.0269889\pi$
$11$			0.561747i			0.169373i	−0.996408	+	0.0846866i	$0.973011\pi$
$12$	2.90565	+	1.88605i	0.838790	+	0.544455i
$13$	−3.64401	+	2.10387i	−1.01067	+	0.583508i	−0.911387	−	0.411551i	$-0.864987\pi$
$13$	−3.64401	+	2.10387i	−1.01067	+	0.583508i	−0.0992795	+	0.995060i	$0.531654\pi$
$14$	2.73718	+	2.55105i	0.731542	+	0.681796i
$15$	−2.74675	+	4.54531i	−0.709208	+	1.17359i
$16$	3.99173	+	0.257108i	0.997932	+	0.0642771i
$17$	2.62656	+	4.54934i	0.637035	+	1.10338i	0.986080	+	0.166271i	$0.0531726\pi$
$17$	2.62656	+	4.54934i	0.637035	+	1.10338i	−0.349045	+	0.937106i	$0.613494\pi$
$18$	−1.91219	−	3.78728i	−0.450708	−	0.892671i
$19$	−1.52590	−	0.880977i	−0.350065	−	0.202110i	0.314649	−	0.949208i	$-0.398113\pi$
$19$	−1.52590	−	0.880977i	−0.350065	−	0.202110i	−0.664714	+	0.747098i	$0.731447\pi$
$20$	−0.197187	+	6.12920i	−0.0440924	+	1.37053i
$21$	−1.32393	−	4.38716i	−0.288905	−	0.957358i
$22$	0.0127742	−	0.794328i	0.00272346	−	0.169351i
$23$	−4.73570			−0.987461			−0.493730	−	0.869615i	$-0.664367\pi$
$23$	−4.73570			−0.987461			−0.493730	+	0.869615i	$0.664367\pi$
$24$	−4.06579	−	2.73301i	−0.829927	−	0.557872i
$25$	−4.40148			−0.880297
$26$	5.20058	−	2.89207i	1.01992	−	0.567182i
$27$	−0.311273	+	5.18682i	−0.0599044	+	0.998204i
$28$	−3.81245	−	3.66950i	−0.720485	−	0.693471i
$29$	3.85410	+	2.22517i	0.715689	+	0.413203i	0.813164	−	0.582035i	$-0.197743\pi$
$29$	3.85410	+	2.22517i	0.715689	+	0.413203i	−0.0974750	+	0.995238i	$0.531077\pi$
$30$	3.98735	−	6.36474i	0.727987	−	1.16204i
$31$	2.53938	−	4.39833i	0.456086	−	0.789964i	−0.542664	−	0.839950i	$-0.682584\pi$
$31$	2.53938	−	4.39833i	0.456086	−	0.789964i	0.998750	+	0.0499859i	$0.0159176\pi$
$32$	−5.63858	−	0.454331i	−0.996770	−	0.0803152i
$33$	−0.503225	+	0.832733i	−0.0876002	+	0.144960i
$34$	−3.61059	−	6.49263i	−0.619210	−	1.11348i
$35$	5.43484	−	6.02270i	0.918655	−	1.01802i
$36$	2.61777	+	5.39882i	0.436296	+	0.899803i
$37$	0.260575	+	0.150443i	0.0428382	+	0.0247327i	0.521266	−	0.853394i	$-0.325460\pi$
$37$	0.260575	+	0.150443i	0.0428382	+	0.0247327i	−0.478428	+	0.878127i	$0.658793\pi$
$38$	2.13763	+	1.28043i	0.346770	+	0.207713i
$39$	−7.28656	−	0.145606i	−1.16678	−	0.0233156i
$40$	0.418207	−	8.66239i	0.0661244	−	1.36964i
$41$	−4.69344	−	8.12928i	−0.732992	−	1.26958i	−0.955599	−	0.294672i	$-0.904790\pi$
$41$	−4.69344	−	8.12928i	−0.732992	−	1.26958i	0.222606	−	0.974908i	$-0.428544\pi$
$42$	1.77231	+	6.23369i	0.273473	+	0.961880i
$43$	−0.820087	−	0.473478i	−0.125062	−	0.0722047i	0.436164	−	0.899867i	$-0.356337\pi$
$43$	−0.820087	−	0.473478i	−0.125062	−	0.0722047i	−0.561226	+	0.827663i	$0.689670\pi$
$44$	−0.0361262	+	1.12291i	−0.00544622	+	0.169286i
$45$	−8.14356	+	4.27736i	−1.21397	+	0.637631i
$46$	6.69642	+	0.107690i	0.987333	+	0.0158780i
$47$	4.78197	+	8.28261i	0.697522	+	1.20814i	0.969323	+	0.245790i	$0.0790473\pi$
$47$	4.78197	+	8.28261i	0.697522	+	1.20814i	−0.271801	+	0.962353i	$0.587619\pi$
$48$	5.68701	+	3.95701i	0.820849	+	0.571145i
$49$	0.716430	+	6.96324i	0.102347	+	0.994749i
$50$	6.22383	+	0.100090i	0.880183	+	0.0141549i
$51$	−0.181780	+	9.09686i	−0.0254543	+	1.27382i
$52$	−7.41955	+	3.97122i	−1.02891	+	0.550709i
$53$	−3.14379	+	1.81507i	−0.431833	+	0.249319i	−0.700127	−	0.714018i	$-0.746873\pi$
$53$	−3.14379	+	1.81507i	−0.431833	+	0.249319i	0.268294	+	0.963337i	$0.413540\pi$
$54$	0.558098	−	7.32725i	0.0759475	−	0.997112i
$55$	−1.72242			−0.232251
$56$	5.30747	+	5.27549i	0.709241	+	0.704966i
$57$	−1.47279	−	2.67289i	−0.195076	−	0.354033i
$58$	−5.39922	−	3.23410i	−0.708952	−	0.424658i
$59$	11.7030	+	6.75673i	1.52360	+	0.879651i	0.999610	+	0.0279276i	$0.00889078\pi$
$59$	11.7030	+	6.75673i	1.52360	+	0.879651i	0.523991	+	0.851724i	$0.324443\pi$
$60$	−5.78297	+	8.90927i	−0.746578	+	1.15018i
$61$	−1.46804	+	0.847572i	−0.187963	+	0.108520i	−0.591029	−	0.806651i	$-0.701278\pi$
$61$	−1.46804	+	0.847572i	−0.187963	+	0.108520i	0.403066	+	0.915171i	$0.367945\pi$
$62$	−3.69078	+	6.16163i	−0.468729	+	0.782528i
$63$	1.96752	−	7.68953i	0.247885	−	0.968790i
$64$	7.96279	+	0.770660i	0.995349	+	0.0963325i
$65$	−6.45085	−	11.1732i	−0.800130	−	1.38587i
$66$	0.730512	−	1.16607i	0.0899198	−	0.143533i
$67$	4.20442	+	2.42742i	0.513652	+	0.296557i	0.734334	−	0.678789i	$-0.237495\pi$
$67$	4.20442	+	2.42742i	0.513652	+	0.296557i	−0.220682	+	0.975346i	$0.570828\pi$
$68$	4.95784	+	9.26289i	0.601226	+	1.12329i
$69$	−7.02019	−	4.24233i	−0.845131	−	0.510717i
$70$	−7.82198	+	8.39270i	−0.934906	+	1.00312i
$71$	−6.26054			−0.742989			−0.371494	−	0.928435i	$-0.621155\pi$
$71$	−6.26054			−0.742989			−0.371494	+	0.928435i	$0.621155\pi$
$72$	−3.57884	−	7.69363i	−0.421771	−	0.906702i
$73$	6.45744	+	11.1846i	0.755786	+	1.30906i	0.944983	+	0.327121i	$0.106078\pi$
$73$	6.45744	+	11.1846i	0.755786	+	1.30906i	−0.189196	+	0.981939i	$0.560588\pi$
$74$	−0.365040	−	0.218656i	−0.0424350	−	0.0254183i
$75$	−6.52475	−	3.94294i	−0.753414	−	0.455292i
$76$	−2.99356	−	1.85917i	−0.343385	−	0.213262i
$77$	0.995702	−	1.10340i	0.113471	−	0.125744i
$78$	10.3001	+	0.371588i	1.16626	+	0.0420740i
$79$	−6.59270	−	11.4189i	−0.741736	−	1.28473i	−0.951704	−	0.307017i	$-0.900669\pi$
$79$	−6.59270	−	11.4189i	−0.741736	−	1.28473i	0.209968	−	0.977708i	$-0.432664\pi$
$80$	−0.788341	+	12.2394i	−0.0881392	+	1.36840i
$81$	−5.10789	+	7.41009i	−0.567543	+	0.823343i
$82$	6.45181	+	11.6018i	0.712483	+	1.28120i
$83$	−3.75844	−	2.16993i	−0.412542	−	0.238181i	0.279339	−	0.960192i	$-0.409885\pi$
$83$	−3.75844	−	2.16993i	−0.412542	−	0.238181i	−0.691881	+	0.722011i	$0.743218\pi$
$84$	−2.36435	−	8.85493i	−0.257971	−	0.966153i
$85$	−13.9491	+	8.05352i	−1.51299	+	0.873527i
$86$	1.14886	+	0.688161i	0.123885	+	0.0742063i
$87$	3.71996	+	6.75117i	0.398822	+	0.723801i
$88$	0.0766186	−	1.58701i	0.00816757	−	0.169176i
$89$	4.86997	−	8.43504i	0.516216	−	0.894113i	−0.483607	−	0.875285i	$-0.660673\pi$
$89$	4.86997	−	8.43504i	0.516216	−	0.894113i	0.999823	−	0.0188272i	$-0.00599322\pi$
$90$	11.6125	−	5.86313i	1.22407	−	0.618028i
$91$	10.8868	+	2.32654i	1.14125	+	0.243888i
$92$	−9.46649	−	0.304554i	−0.986950	−	0.0317520i
$93$	7.70449	−	4.24525i	0.798918	−	0.440212i
$94$	−6.57350	−	11.8206i	−0.678005	−	1.21920i
$95$	2.70124	−	4.67868i	0.277141	−	0.480023i
$96$	−7.95162	−	5.72466i	−0.811559	−	0.584270i
$97$	3.52525	−	6.10591i	0.357935	−	0.619961i	−0.629681	−	0.776854i	$-0.716814\pi$
$97$	3.52525	−	6.10591i	0.357935	−	0.619961i	0.987616	+	0.156893i	$0.0501476\pi$
$98$	−0.854709	−	9.86253i	−0.0863387	−	0.996266i
$99$	−1.49196	+	0.783643i	−0.149948	+	0.0787591i
$100$	−8.79842	−	0.283061i	−0.879842	−	0.0283061i
$101$			18.8201i			1.87267i	0.351109	+	0.936335i	$0.385805\pi$
$101$			18.8201i			1.87267i	−0.351109	+	0.936335i	$0.614195\pi$
$102$	0.463906	−	12.8591i	0.0459336	−	1.27324i
$103$	19.9806			1.96875			0.984375	−	0.176083i	$-0.0563426\pi$
$103$	19.9806			1.96875			0.984375	+	0.176083i	$0.0563426\pi$
$104$	10.5818	−	5.44670i	1.03763	−	0.534093i
$105$	13.4519	−	4.05941i	1.31277	−	0.396158i
$106$	4.48669	−	2.49507i	0.435786	−	0.242343i
$107$	3.76634	+	2.17450i	0.364106	+	0.210217i	0.670880	−	0.741566i	$-0.265916\pi$
$107$	3.76634	+	2.17450i	0.364106	+	0.210217i	−0.306775	+	0.951782i	$0.599250\pi$
$108$	−0.955789	+	10.3483i	−0.0919709	+	0.995762i
$109$	8.38793	−	4.84277i	0.803418	−	0.463853i	−0.0412471	−	0.999149i	$-0.513133\pi$
$109$	8.38793	−	4.84277i	0.803418	−	0.463853i	0.844665	+	0.535296i	$0.179800\pi$
$110$	2.43556	+	0.0391680i	0.232221	+	0.00373452i
$111$	0.251506	+	0.456445i	0.0238719	+	0.0433238i
$112$	−7.38496	−	7.58039i	−0.697813	−	0.716280i
$113$	−3.04274	−	5.27018i	−0.286237	−	0.495777i	0.686671	−	0.726968i	$-0.259071\pi$
$113$	−3.04274	−	5.27018i	−0.286237	−	0.495777i	−0.972908	+	0.231191i	$0.925738\pi$
$114$	2.02179	+	3.81304i	0.189358	+	0.357124i
$115$		−	14.5205i		−	1.35404i
$116$	7.56112	+	4.69589i	0.702032	+	0.436003i
$117$	−10.6712	−	6.74330i	−0.986548	−	0.623418i
$118$	−16.3948	−	9.82035i	−1.50926	−	0.904037i
$119$	2.90456	−	13.5916i	0.266260	−	1.24594i
$120$	8.37990	−	12.4665i	0.764976	−	1.13803i
$121$	10.6844			0.971313
$122$	2.09512	−	1.16511i	0.189684	−	0.105484i
$123$	0.324826	−	16.2553i	0.0292886	−	1.46569i
$124$	5.35899	−	8.62881i	0.481252	−	0.774890i
$125$			1.83516i			0.164142i
$126$	−2.95700	+	10.8285i	−0.263431	+	0.964678i
$127$	15.9718			1.41727			0.708636	−	0.705574i	$-0.249311\pi$
$127$	15.9718			1.41727			0.708636	+	0.705574i	$0.249311\pi$
$128$	−11.2421	−	1.27081i	−0.993672	−	0.112325i
$129$	−0.791545	−	1.43653i	−0.0696917	−	0.126480i
$130$	8.86762	+	15.9459i	0.777742	+	1.39855i
$131$		−	10.7358i		−	0.937992i	−0.883200	−	0.468996i	$-0.844616\pi$
$131$		−	10.7358i		−	0.937992i	0.883200	−	0.468996i	$-0.155384\pi$
$132$	−1.05948	+	1.63224i	−0.0922161	+	0.142069i
$133$	1.43568	+	4.43511i	0.124489	+	0.384573i
$134$	−5.88998	−	3.52806i	−0.508817	−	0.304778i
$135$	−15.9037	−	0.954419i	−1.36878	−	0.0821433i
$136$	−6.79990	−	13.2107i	−0.583086	−	1.13281i
$137$	−10.7634			−0.919578			−0.459789	−	0.888028i	$-0.652075\pi$
$137$	−10.7634			−0.919578			−0.459789	+	0.888028i	$0.652075\pi$
$138$	9.83029	+	6.15843i	0.836810	+	0.524240i
$139$	14.4332	−	8.33303i	1.22421	−	0.706798i	0.258398	−	0.966039i	$-0.416805\pi$
$139$	14.4332	−	8.33303i	1.22421	−	0.706798i	0.965813	+	0.259240i	$0.0834721\pi$
$140$	11.2514	−	11.6897i	0.950915	−	0.987957i
$141$	−0.330953	+	16.5619i	−0.0278713	+	1.39477i
$142$	8.85259	+	0.142365i	0.742893	+	0.0119470i
$143$	−1.18184	−	2.04701i	−0.0988307	−	0.171180i
$144$	4.88564	+	10.9604i	0.407137	+	0.913367i
$145$	−6.82277	+	11.8174i	−0.566600	+	0.981380i
$146$	−8.87668	−	15.9622i	−0.734639	−	1.32104i
$147$	−5.17578	+	10.9641i	−0.426891	+	0.904303i
$148$	0.511205	+	0.317488i	0.0420208	+	0.0260973i
$149$		−	15.3534i		−	1.25780i	−0.777487	−	0.628898i	$-0.783506\pi$
$149$		−	15.3534i		−	1.25780i	0.777487	−	0.628898i	$-0.216494\pi$
$150$	9.13654	+	5.72381i	0.745995	+	0.467347i
$151$	0.939833			0.0764825			0.0382413	−	0.999269i	$-0.487824\pi$
$151$	0.939833			0.0764825			0.0382413	+	0.999269i	$0.487824\pi$
$152$	4.19071	+	2.69700i	0.339911	+	0.218756i
$153$	−8.41863	+	13.3223i	−0.680606	+	1.07705i
$154$	−1.43304	+	1.53760i	−0.115478	+	0.123904i
$155$	13.4861	+	7.78620i	1.08323	+	0.625403i
$156$	−14.5562	−	0.759662i	−1.16543	−	0.0608216i
$157$	5.37095	+	3.10092i	0.428649	+	0.247480i	0.698771	−	0.715346i	$-0.253731\pi$
$157$	5.37095	+	3.10092i	0.428649	+	0.247480i	−0.270122	+	0.962826i	$0.587064\pi$
$158$	9.06261	+	16.2966i	0.720983	+	1.29649i
$159$	−6.28632	−	0.125618i	−0.498538	−	0.00996217i
$160$	1.39306	−	17.2889i	0.110131	−	1.36681i
$161$	9.30201	+	8.39406i	0.733101	+	0.661544i
$162$	7.39122	−	10.3619i	0.580709	−	0.814111i
$163$	−10.0419	−	5.79770i	−0.786543	−	0.454111i	0.0522012	−	0.998637i	$-0.483376\pi$
$163$	−10.0419	−	5.79770i	−0.786543	−	0.454111i	−0.838744	+	0.544526i	$0.816710\pi$
$164$	−8.85923	−	16.5520i	−0.691790	−	1.29249i
$165$	−2.55331	−	1.54298i	−0.198775	−	0.120121i
$166$	5.26520	+	3.15382i	0.408659	+	0.244784i
$167$	−8.51289	−	14.7448i	−0.658747	−	1.14098i	−0.980940	−	0.194309i	$-0.937753\pi$
$167$	−8.51289	−	14.7448i	−0.658747	−	1.14098i	0.322193	−	0.946674i	$-0.395580\pi$
$168$	3.14190	+	12.5749i	0.242403	+	0.970176i
$169$	2.35253	−	4.07471i	0.180964	−	0.313439i
$170$	19.9076	−	11.0707i	1.52684	−	0.849086i
$171$	0.211168	−	5.28164i	0.0161484	−	0.403897i
$172$	−1.60888	−	0.999206i	−0.122676	−	0.0761887i
$173$	−2.92110	+	1.68650i	−0.222087	+	0.128222i	−0.606916	−	0.794766i	$-0.707594\pi$
$173$	−2.92110	+	1.68650i	−0.222087	+	0.128222i	0.384829	+	0.922988i	$0.374260\pi$
$174$	−5.10662	−	9.63095i	−0.387132	−	0.730121i
$175$	8.64554	+	7.80167i	0.653542	+	0.589751i
$176$	−0.144430	+	2.24234i	−0.0108868	+	0.169023i
$177$	11.2957	+	20.5000i	0.849036	+	1.54087i
$178$	−7.07811	+	11.8167i	−0.530526	+	0.885696i
$179$	−1.11981	+	0.646525i	−0.0836988	+	0.0483236i	−0.541265	−	0.840852i	$-0.682055\pi$
$179$	−1.11981	+	0.646525i	−0.0836988	+	0.0483236i	0.457566	+	0.889175i	$0.348721\pi$
$180$	−16.5538	+	8.02658i	−1.23385	+	0.598266i
$181$			16.2805i			1.21012i	0.796180	+	0.605060i	$0.206851\pi$
$181$			16.2805i			1.21012i	−0.796180	+	0.605060i	$0.793149\pi$
$182$	−15.3414	−	3.53737i	−1.13718	−	0.262207i
$183$	−2.93549	−	0.0586592i	−0.216998	−	0.00433621i
$184$	13.3790	+	0.645918i	0.986312	+	0.0476177i
$185$	−0.461286	+	0.798970i	−0.0339144	+	0.0587415i
$186$	−10.9909	+	5.82772i	−0.805894	+	0.427309i
$187$	−2.55558	+	1.47546i	−0.186882	+	0.107897i
$188$	9.02634	+	16.8642i	0.658313	+	1.22995i
$189$	9.80509	−	9.63640i	0.713216	−	0.700945i
$190$	−3.92603	+	6.55437i	−0.284824	+	0.475504i
$191$	6.02004	+	10.4270i	0.435595	+	0.754472i	0.997344	−	0.0728353i	$-0.0232047\pi$
$191$	6.02004	+	10.4270i	0.435595	+	0.754472i	−0.561749	+	0.827308i	$0.689871\pi$
$192$	11.1137	+	8.27566i	0.802059	+	0.597244i
$193$	−8.46277	+	14.6580i	−0.609164	+	1.05510i	0.382215	+	0.924074i	$0.375161\pi$
$193$	−8.46277	+	14.6580i	−0.609164	+	1.05510i	−0.991379	+	0.131029i	$0.958172\pi$
$194$	−5.12366	+	8.55378i	−0.367857	+	0.614126i
$195$	0.446454	−	22.3419i	0.0319712	−	1.59994i
$196$	0.984311	+	13.9654i	0.0703079	+	0.997525i
$197$		−	11.6948i		−	0.833220i	−0.909085	−	0.416610i	$-0.863218\pi$
$197$		−	11.6948i		−	0.833220i	0.909085	−	0.416610i	$-0.136782\pi$
$198$	2.12750	−	1.07417i	0.151195	−	0.0763378i
$199$	−0.464715	−	0.804910i	−0.0329428	−	0.0570586i	0.849084	−	0.528258i	$-0.177155\pi$
$199$	−0.464715	−	0.804910i	−0.0329428	−	0.0570586i	−0.882027	+	0.471199i	$0.843821\pi$
$200$	12.4348	+	0.600333i	0.879273	+	0.0424500i
$201$	4.05809	+	7.36482i	0.286236	+	0.519474i
$202$	0.427970	−	26.6122i	0.0301119	−	1.87243i
$203$	−3.62623	−	11.2022i	−0.254512	−	0.786239i
$204$	−0.948395	+	18.1726i	−0.0664009	+	1.27234i
$205$	24.9259	−	14.3910i	1.74090	−	1.00511i
$206$	−28.2532	−	0.454361i	−1.96850	−	0.0316568i
$207$	−6.60634	−	12.5777i	−0.459173	−	0.874208i
$208$	−15.0868	+	7.46117i	−1.04608	+	0.517339i
$209$	0.494887	−	0.857169i	0.0342320	−	0.0592916i
$210$	−19.1136	+	5.43423i	−1.31897	+	0.374997i
$211$	−10.1930	+	5.88493i	−0.701715	+	0.405135i	−0.807986	−	0.589202i	$-0.799442\pi$
$211$	−10.1930	+	5.88493i	−0.701715	+	0.405135i	0.106271	+	0.994337i	$0.466109\pi$
$212$	−6.40105	+	3.42608i	−0.439626	+	0.235304i
$213$	−9.28061	−	5.60832i	−0.635897	−	0.384276i
$214$	−5.27627	−	3.16045i	−0.360678	−	0.216044i
$215$	1.45177	−	2.51454i	0.0990099	−	0.171490i
$216$	1.58684	−	14.6110i	0.107970	−	0.994154i
$217$	−12.7840	+	4.13829i	−0.867836	+	0.280925i
$218$	−11.9709	+	6.65709i	−0.810772	+	0.450875i
$219$	−0.446910	+	22.3648i	−0.0301994	+	1.51127i
$220$	−3.44306	−	0.110769i	−0.232131	−	0.00746807i
$221$	−19.1424	−	11.0519i	−1.28766	−	0.743430i
$222$	−0.345257	−	0.651146i	−0.0231722	−	0.0437021i
$223$	1.81345	−	3.14100i	0.121438	−	0.210337i	−0.798897	−	0.601468i	$-0.794583\pi$
$223$	1.81345	−	3.14100i	0.121438	−	0.210337i	0.920335	+	0.391131i	$0.127916\pi$
$224$	10.2702	+	10.8868i	0.686206	+	0.727408i
$225$	−6.14012	−	11.6900i	−0.409341	−	0.779335i
$226$	4.18268	+	7.52139i	0.278228	+	0.500315i
$227$		−	13.2468i		−	0.879219i	−0.898189	−	0.439609i	$-0.855117\pi$
$227$		−	13.2468i		−	0.879219i	0.898189	−	0.439609i	$-0.144883\pi$
$228$	−2.77216	−	5.43773i	−0.183591	−	0.360122i
$229$		−	17.1147i		−	1.13097i	−0.824759	−	0.565484i	$-0.808689\pi$
$229$		−	17.1147i		−	1.13097i	0.824759	−	0.565484i	$-0.191311\pi$
$230$	−0.330198	+	20.5325i	−0.0217726	+	1.35387i
$231$	2.46448	−	0.743713i	0.162151	−	0.0489327i
$232$	−10.5849	−	6.81207i	−0.694931	−	0.447235i
$233$	2.89670	−	5.01722i	0.189769	−	0.328689i	−0.755404	−	0.655259i	$-0.772559\pi$
$233$	2.89670	−	5.01722i	0.189769	−	0.328689i	0.945173	+	0.326570i	$0.105893\pi$
$234$	14.9360	+	9.77790i	0.976397	+	0.639201i
$235$	−25.3960	+	14.6624i	−1.65665	+	0.956469i
$236$	22.9594	+	14.2591i	1.49453	+	0.928188i
$237$	0.456271	−	22.8332i	0.0296380	−	1.48318i
$238$	−4.41621	+	19.1528i	−0.286260	+	1.24149i
$239$	9.75845	+	16.9021i	0.631222	+	1.09331i	0.987302	+	0.158853i	$0.0507795\pi$
$239$	9.75845	+	16.9021i	0.631222	+	1.09331i	−0.356081	+	0.934455i	$0.615887\pi$
$240$	−12.1329	+	17.4374i	−0.783177	+	1.12558i
$241$	11.0561			0.712189			0.356094	−	0.934450i	$-0.384108\pi$
$241$	11.0561			0.712189			0.356094	+	0.934450i	$0.384108\pi$
$242$	−15.1081	−	0.242965i	−0.971187	−	0.0156184i
$243$	−14.2100	+	6.40895i	−0.911575	+	0.411134i
$244$	−2.98906	+	1.59986i	−0.191355	+	0.102420i
$245$	−21.3506	+	2.19671i	−1.36404	+	0.140342i
$246$	−0.828961	+	22.9781i	−0.0528526	+	1.46503i
$247$	7.41384			0.471732
$248$	−7.77400	+	12.0795i	−0.493649	+	0.767051i
$249$	−3.62763	−	6.58359i	−0.229892	−	0.417218i
$250$	0.0417317	−	2.59497i	0.00263934	−	0.164121i
$251$			27.1861i			1.71597i	0.513676	+	0.857984i	$0.328283\pi$
$251$			27.1861i			1.71597i	−0.513676	+	0.857984i	$0.671717\pi$
$252$	4.42753	−	15.2446i	0.278908	−	0.960318i
$253$		−	2.66026i		−	0.167249i
$254$	−22.5847	−	0.363201i	−1.41709	−	0.0227893i
$255$	−27.8926	−	0.557372i	−1.74671	−	0.0349040i
$256$	15.8678	+	2.05261i	0.991737	+	0.128288i
$257$	15.1245			0.943437			0.471719	−	0.881749i	$-0.343634\pi$
$257$	15.1245			0.943437			0.471719	+	0.881749i	$0.343634\pi$
$258$	1.08660	+	2.04930i	0.0676489	+	0.127584i
$259$	−0.245169	−	0.757376i	−0.0152340	−	0.0470611i
$260$	−12.1765	−	22.7497i	−0.755153	−	1.41088i
$261$	−0.533367	+	13.3403i	−0.0330146	+	0.825747i
$262$	−0.244133	+	15.1808i	−0.0150826	+	0.937871i
$263$	15.7853			0.973365			0.486683	−	0.873579i	$-0.338207\pi$
$263$	15.7853			0.973365			0.486683	+	0.873579i	$0.338207\pi$
$264$	1.53526	−	2.28395i	0.0944886	−	0.140567i
$265$	−5.56533	−	9.63944i	−0.341876	−	0.592146i
$266$	−1.92924	−	6.30403i	−0.118289	−	0.386525i
$267$	14.7755	−	8.14147i	0.904248	−	0.498250i
$268$	8.24839	+	5.12273i	0.503850	+	0.312920i
$269$	18.6701	−	10.7792i	1.13834	−	0.657219i	0.192318	−	0.981333i	$-0.438399\pi$
$269$	18.6701	−	10.7792i	1.13834	−	0.657219i	0.946018	+	0.324114i	$0.105066\pi$
$270$	22.4667	+	1.71123i	1.36728	+	0.104142i
$271$	6.56597	−	11.3726i	0.398854	−	0.690836i	−0.594731	−	0.803925i	$-0.702741\pi$
$271$	6.56597	−	11.3726i	0.398854	−	0.690836i	0.993585	+	0.113089i	$0.0360746\pi$
$272$	9.31485	+	18.8350i	0.564796	+	1.14204i
$273$	14.0544	+	13.2015i	0.850613	+	0.798991i
$274$	15.2198	+	0.244760i	0.919459	+	0.0147865i
$275$		−	2.47252i		−	0.149099i
$276$	−13.7603	−	8.93175i	−0.828272	−	0.537628i
$277$			26.1236i			1.56961i	0.619740	+	0.784807i	$0.287238\pi$
$277$			26.1236i			1.56961i	−0.619740	+	0.784807i	$0.712762\pi$
$278$	−20.5985	+	11.4549i	−1.23542	+	0.687022i
$279$	15.2241	+	0.608683i	0.911444	+	0.0364409i
$280$	−16.1756	+	16.2737i	−0.966678	+	0.972538i
$281$	2.29874	−	3.98154i	0.137132	−	0.237519i	−0.789278	−	0.614036i	$-0.789545\pi$
$281$	2.29874	−	3.98154i	0.137132	−	0.237519i	0.926410	+	0.376517i	$0.122878\pi$
$282$	0.844597	−	23.4115i	0.0502950	−	1.39414i
$283$	−11.5739	−	6.68218i	−0.687995	−	0.397214i	0.114865	−	0.993381i	$-0.463356\pi$
$283$	−11.5739	−	6.68218i	−0.687995	−	0.397214i	−0.802861	+	0.596167i	$0.796690\pi$
$284$	−12.5146	−	0.402617i	−0.742605	−	0.0238909i
$285$	8.19557	−	4.51584i	0.485464	−	0.267496i
$286$	1.62461	+	2.92141i	0.0960654	+	0.172747i
$287$	−5.19020	+	24.2870i	−0.306368	+	1.43361i
$288$	−6.65921	−	15.6095i	−0.392398	−	0.919796i
$289$	−5.29765	+	9.17580i	−0.311627	+	0.539753i
$290$	9.91634	−	16.5550i	0.582307	−	0.972143i
$291$	10.6956	−	5.89340i	0.626989	−	0.345477i
$292$	12.1889	+	22.7729i	0.713302	+	1.33269i
$293$	12.1028	−	6.98756i	0.707054	−	0.408218i	−0.102915	−	0.994690i	$-0.532817\pi$
$293$	12.1028	−	6.98756i	0.707054	−	0.408218i	0.809969	+	0.586472i	$0.199484\pi$
$294$	7.56804	−	15.3859i	0.441377	−	0.897322i
$295$	−20.7174	+	35.8836i	−1.20621	+	2.08922i
$296$	−0.715640	−	0.460562i	−0.0415957	−	0.0267696i
$297$	−2.91368	−	0.174857i	−0.169069	−	0.0101462i
$298$	−0.349137	+	21.7101i	−0.0202250	+	1.25763i
$299$	17.2569	−	9.96328i	0.997993	−	0.576192i
$300$	−12.7892	−	8.30141i	−0.738384	−	0.479282i
$301$	0.771600	+	2.38363i	0.0444743	+	0.137390i
$302$	−1.32895	−	0.0213719i	−0.0764726	−	0.00122981i
$303$	−16.8594	+	27.8989i	−0.968549	+	1.60275i
$304$	−5.86446	−	3.90894i	−0.336350	−	0.224193i
$305$	−2.59881	−	4.50127i	−0.148807	−	0.257742i
$306$	12.2071	−	18.6467i	0.697836	−	1.06596i
$307$			20.2912i			1.15808i	0.815299	+	0.579040i	$0.196573\pi$
$307$			20.2912i			1.15808i	−0.815299	+	0.579040i	$0.803427\pi$
$308$	2.06133	−	2.14163i	0.117455	−	0.122031i
$309$	29.6193	+	17.8991i	1.68498	+	1.01824i
$310$	−18.8927	−	11.3166i	−1.07303	−	0.642740i
$311$	7.54101	−	13.0614i	0.427612	−	0.740645i	−0.569049	−	0.822304i	$-0.692688\pi$
$311$	7.54101	−	13.0614i	0.427612	−	0.740645i	0.996660	+	0.0816589i	$0.0260218\pi$
$312$	20.5657	+	1.40520i	1.16430	+	0.0795535i
$313$	−8.47303	−	14.6757i	−0.478924	−	0.829521i	0.520784	−	0.853689i	$-0.325640\pi$
$313$	−8.47303	−	14.6757i	−0.478924	−	0.829521i	−0.999708	+	0.0241676i	$0.992306\pi$
$314$	−7.52418	−	4.50693i	−0.424614	−	0.254341i
$315$	23.5775	+	6.03279i	1.32844	+	0.339909i
$316$	−12.4442	−	23.2499i	−0.700042	−	1.30791i
$317$	−5.36442	+	3.09715i	−0.301296	+	0.173953i	−0.643025	−	0.765845i	$-0.722321\pi$
$317$	−5.36442	+	3.09715i	−0.301296	+	0.173953i	0.341729	+	0.939799i	$0.388988\pi$
$318$	8.88620	+	0.320579i	0.498313	+	0.0179772i
$319$	−1.24998	+	2.16503i	−0.0699855	+	0.121219i
$320$	−2.36299	+	24.4154i	−0.132095	+	1.36486i
$321$	3.63526	+	6.59744i	0.202900	+	0.368233i
$322$	−12.9625	−	12.0810i	−0.722369	−	0.673247i
$323$		−	9.25576i		−	0.515004i
$324$	−10.6870	+	14.4840i	−0.593725	+	0.804668i
$325$	16.0390	−	9.26015i	0.889686	−	0.513661i
$326$	14.0677	+	8.42648i	0.779139	+	0.466699i
$327$	16.7725	+	0.335161i	0.927522	+	0.0185344i
$328$	12.1508	+	23.6065i	0.670917	+	1.30345i
$329$	5.28809	−	24.7451i	0.291542	−	1.36424i
$330$	3.57538	+	2.23988i	0.196818	+	0.123302i
$331$	−23.0101	+	13.2849i	−1.26475	+	0.730204i	−0.973990	−	0.226592i	$-0.927242\pi$
$331$	−23.0101	+	13.2849i	−1.26475	+	0.730204i	−0.290760	+	0.956796i	$0.593908\pi$
$332$	−7.37344	−	4.57933i	−0.404670	−	0.251323i
$333$	−0.0360608	+	0.901937i	−0.00197612	+	0.0494258i
$334$	11.7022	+	21.0431i	0.640315	+	1.15143i
$335$	−7.44293	+	12.8915i	−0.406651	+	0.704340i
$336$	−4.15678	−	17.8528i	−0.226771	−	0.973948i
$337$	−1.25960	−	2.18169i	−0.0686149	−	0.118844i	0.829677	−	0.558244i	$-0.188525\pi$
$337$	−1.25960	−	2.18169i	−0.0686149	−	0.118844i	−0.898292	+	0.439399i	$0.855191\pi$
$338$	−3.41921	+	5.70826i	−0.185981	+	0.310489i
$339$	0.210584	−	10.5383i	0.0114373	−	0.572360i
$340$	−28.4017	+	15.2016i	−1.54030	+	0.824425i
$341$	2.47075	+	1.42649i	0.133799	+	0.0772487i
$342$	−0.418703	+	7.46360i	−0.0226409	+	0.403585i
$343$	10.9352	−	14.9473i	0.590443	−	0.807079i
$344$	2.25228	+	1.44949i	0.121435	+	0.0781515i
$345$	13.0078	−	21.5252i	0.700315	−	1.15888i
$346$	4.16887	−	2.31833i	0.224120	−	0.124634i
$347$	−18.3965	−	10.6212i	−0.987574	−	0.570176i	−0.0830256	−	0.996547i	$-0.526458\pi$
$347$	−18.3965	−	10.6212i	−0.987574	−	0.570176i	−0.904548	+	0.426371i	$0.859792\pi$
$348$	7.00191	+	13.7346i	0.375342	+	0.736251i
$349$	−5.86650	−	3.38703i	−0.314027	−	0.181303i	0.334700	−	0.942325i	$-0.391365\pi$
$349$	−5.86650	−	3.38703i	−0.314027	−	0.181303i	−0.648727	+	0.761021i	$0.724698\pi$
$350$	−12.0477	−	11.2284i	−0.643974	−	0.600183i
$351$	−9.77811	−	19.5557i	−0.521917	−	1.04381i
$352$	0.255219	−	3.16746i	0.0136032	−	0.168826i
$353$	−32.8141			−1.74652			−0.873260	−	0.487254i	$-0.837998\pi$
$353$	−32.8141			−1.74652			−0.873260	+	0.487254i	$0.837998\pi$
$354$	−15.5063	−	29.2444i	−0.824150	−	1.55432i
$355$		−	19.1960i		−	1.01882i
$356$	10.2774	−	16.5482i	0.544700	−	0.877051i
$357$	16.4813	−	17.5462i	0.872284	−	0.928641i
$358$	1.59815	−	0.888742i	0.0844651	−	0.0469715i
$359$	−7.48308	+	12.9611i	−0.394942	+	0.684060i	−0.993094	−	0.117323i	$-0.962569\pi$
$359$	−7.48308	+	12.9611i	−0.394942	+	0.684060i	0.598152	+	0.801383i	$0.295902\pi$
$360$	23.5901	−	10.9734i	1.24331	−	0.578349i
$361$	−7.94776	−	13.7659i	−0.418303	−	0.724522i
$362$	0.370220	−	23.0211i	0.0194583	−	1.20996i
$363$	15.8386	+	9.57134i	0.831311	+	0.502365i
$364$	21.6127	+	5.35081i	1.13282	+	0.280459i
$365$	−34.2941	+	19.7997i	−1.79503	+	1.03636i
$366$	4.14954	+	0.149699i	0.216900	+	0.00782490i
$367$	8.66656			0.452391			0.226195	−	0.974082i	$-0.427371\pi$
$367$	8.66656			0.452391			0.226195	+	0.974082i	$0.427371\pi$
$368$	−18.9036	−	1.21759i	−0.985419	−	0.0634711i
$369$	15.0434	−	23.8059i	0.783126	−	1.23928i
$370$	0.670441	−	1.11928i	0.0348546	−	0.0581885i
$371$	9.39236	+	2.00717i	0.487627	+	0.104207i
$372$	15.6740	−	7.99064i	0.812660	−	0.414295i
$373$			29.3293i			1.51861i	0.650732	+	0.759307i	$0.274462\pi$
$373$			29.3293i			1.51861i	−0.650732	+	0.759307i	$0.725538\pi$
$374$	3.64722	−	2.02824i	0.188593	−	0.104878i
$375$	−1.64397	+	2.72044i	−0.0848945	+	0.140483i
$376$	−12.3800	−	24.0517i	−0.638451	−	1.24037i
$377$	−18.7258			−0.964430
$378$	−14.0838	+	13.4032i	−0.724394	+	0.689386i
$379$			3.90379i			0.200524i	0.994961	+	0.100262i	$0.0319681\pi$
$379$			3.90379i			0.200524i	−0.994961	+	0.100262i	$0.968032\pi$
$380$	5.70057	−	9.17881i	0.292433	−	0.470863i
$381$	23.6766	+	14.3079i	1.21299	+	0.733016i
$382$	−8.27541	−	14.8810i	−0.423407	−	0.761379i
$383$	−3.53616			−0.180690			−0.0903448	−	0.995911i	$-0.528797\pi$
$383$	−3.53616			−0.180690			−0.0903448	+	0.995911i	$0.528797\pi$
$384$	−15.5269	−	11.9548i	−0.792352	−	0.610064i
$385$	3.38324	+	3.05300i	0.172426	+	0.155596i
$386$	12.2999	−	20.5344i	0.626051	−	1.04517i
$387$	0.113491	−	2.83860i	0.00576909	−	0.144294i
$388$	7.43953	−	11.9788i	0.377685	−	0.608131i
$389$		−	16.8285i		−	0.853240i	−0.904431	−	0.426620i	$-0.859704\pi$
$389$		−	16.8285i		−	0.853240i	0.904431	−	0.426620i	$-0.140296\pi$
$390$	−1.13936	+	31.5820i	−0.0576936	+	1.59922i
$391$	−12.4386	−	21.5443i	−0.629047	−	1.08954i
$392$	−1.07427	−	19.7698i	−0.0542589	−	0.998527i
$393$	9.61736	−	15.9147i	0.485132	−	0.802793i
$394$	−0.265941	+	16.5368i	−0.0133979	+	0.833113i
$395$	35.0124	−	20.2144i	1.76167	−	1.01710i
$396$	−3.03277	+	1.47053i	−0.152403	+	0.0738968i
$397$	−24.6478	−	14.2304i	−1.23704	−	0.714204i	−0.268550	−	0.963266i	$-0.586544\pi$
$397$	−24.6478	−	14.2304i	−1.23704	−	0.714204i	−0.968488	+	0.249062i	$0.919878\pi$
$398$	0.638818	+	1.14874i	0.0320210	+	0.0575809i
$399$	−1.84481	+	7.86071i	−0.0923562	+	0.393528i
$400$	−17.5695	−	1.13166i	−0.878476	−	0.0565829i
$401$	−31.5276			−1.57441			−0.787207	−	0.616689i	$-0.788473\pi$
$401$	−31.5276			−1.57441			−0.787207	+	0.616689i	$0.788473\pi$
$402$	−5.57079	−	10.5064i	−0.277846	−	0.524010i
$403$			21.3701i			1.06452i
$404$	−1.21033	+	37.6207i	−0.0602160	+	1.87170i
$405$	−22.7207	−	15.6617i	−1.12900	−	0.778238i
$406$	4.87286	+	15.9227i	0.241836	+	0.790229i
$407$	−0.0845109	+	0.146377i	−0.00418905	+	0.00725565i
$408$	1.75431	−	25.6751i	0.0868511	−	1.27111i
$409$	4.06080	−	7.03351i	0.200794	−	0.347785i	−0.747991	−	0.663709i	$-0.768981\pi$
$409$	4.06080	−	7.03351i	0.200794	−	0.347785i	0.948784	+	0.315924i	$0.102315\pi$
$410$	−35.5732	+	19.7824i	−1.75683	+	0.976985i
$411$	−15.9556	−	9.64207i	−0.787033	−	0.475608i
$412$	39.9406	+	1.28496i	1.96773	+	0.0633055i
$413$	−11.0111	−	34.0155i	−0.541819	−	1.67379i
$414$	9.05556	+	17.9354i	0.445056	+	0.881478i
$415$	6.65342	−	11.5241i	0.326603	−	0.565694i
$416$	21.5029	−	10.2072i	1.05427	−	0.500452i
$417$	28.8607	+	0.576717i	1.41331	+	0.0282419i
$418$	−0.719277	+	1.20081i	−0.0351810	+	0.0587335i
$419$	−24.3993	+	14.0870i	−1.19199	+	0.688193i	−0.958757	−	0.284228i	$-0.908263\pi$
$419$	−24.3993	+	14.0870i	−1.19199	+	0.688193i	−0.233229	+	0.972422i	$0.574929\pi$
$420$	27.1509	−	7.24952i	1.32483	−	0.353740i
$421$	−3.03345	−	1.75136i	−0.147841	−	0.0853562i	0.424255	−	0.905543i	$-0.360536\pi$
$421$	−3.03345	−	1.75136i	−0.147841	−	0.0853562i	−0.572096	+	0.820187i	$0.693869\pi$
$422$	14.5470	−	8.08968i	0.708138	−	0.393799i
$423$	−15.3271	+	24.2549i	−0.745230	+	1.17931i
$424$	9.12920	−	4.69902i	0.443353	−	0.228205i
$425$	−11.5608	−	20.0238i	−0.560780	−	0.971299i
$426$	12.9955	+	8.14138i	0.629636	+	0.394451i
$427$	4.38590	+	0.937279i	0.212248	+	0.0453581i
$428$	7.38894	+	4.58896i	0.357158	+	0.221816i
$429$	0.0817936	−	4.09321i	0.00394903	−	0.197622i
$430$	−2.11003	+	3.52262i	−0.101755	+	0.169876i
$431$	10.2720	+	17.7915i	0.494782	+	0.856988i	0.999982	−	0.00601425i	$-0.00191441\pi$
$431$	10.2720	+	17.7915i	0.494782	+	0.856988i	−0.505199	+	0.863003i	$0.668581\pi$
$432$	−2.57609	+	20.6243i	−0.123942	+	0.992289i
$433$	23.5737			1.13288			0.566439	−	0.824104i	$-0.308321\pi$
$433$	23.5737			1.13288			0.566439	+	0.824104i	$0.308321\pi$
$434$	18.1711	−	5.56095i	0.872241	−	0.266934i
$435$	−20.7003	+	11.4061i	−0.992505	+	0.546880i
$436$	17.0786	−	9.14110i	0.817918	−	0.437780i
$437$	7.22618	+	4.17204i	0.345675	+	0.199576i
$438$	1.14052	−	31.6143i	0.0544962	−	1.51059i
$439$	1.61634	+	2.79959i	0.0771438	+	0.133617i	0.902017	−	0.431702i	$-0.142087\pi$
$439$	1.61634	+	2.79959i	0.0771438	+	0.133617i	−0.824873	+	0.565318i	$0.808753\pi$
$440$	4.86607	+	0.234927i	0.231981	+	0.0111997i
$441$	−17.4944	+	11.6166i	−0.833068	+	0.553170i
$442$	26.8167	+	16.0630i	1.27554	+	0.764039i
$443$	−11.8718	+	6.85420i	−0.564047	+	0.325653i	−0.754768	−	0.655991i	$-0.772251\pi$
$443$	−11.8718	+	6.85420i	−0.564047	+	0.325653i	0.190721	+	0.981644i	$0.438917\pi$
$444$	0.473397	+	0.928592i	0.0224664	+	0.0440690i
$445$	25.8634	+	14.9322i	1.22604	+	0.707856i
$446$	−2.63571	+	4.40023i	−0.124804	+	0.208357i
$447$	13.7539	−	22.7598i	0.650536	−	1.07650i
$448$	−14.2748	−	15.6279i	−0.674420	−	0.738348i
$449$	28.8375			1.36093			0.680463	−	0.732782i	$-0.261779\pi$
$449$	28.8375			1.36093			0.680463	+	0.732782i	$0.261779\pi$
$450$	8.41648	+	16.6697i	0.396757	+	0.785816i
$451$	4.56660	−	2.63653i	0.215033	−	0.124149i
$452$	−5.74341	−	10.7306i	−0.270147	−	0.504725i
$453$	1.39321	+	0.841922i	0.0654586	+	0.0395569i
$454$	−0.301233	+	18.7313i	−0.0141375	+	0.879105i
$455$	−7.13361	+	33.3810i	−0.334429	+	1.56492i
$456$	3.79627	+	7.75216i	0.177777	+	0.363028i
$457$	−4.38581	−	7.59645i	−0.205160	−	0.355347i	0.745024	−	0.667038i	$-0.232438\pi$
$457$	−4.38581	−	7.59645i	−0.205160	−	0.355347i	−0.950184	+	0.311691i	$0.899105\pi$
$458$	−0.389189	+	24.2006i	−0.0181856	+	1.13082i
$459$	−24.4142	+	12.2074i	−1.13956	+	0.569794i
$460$	0.933819	−	29.0260i	0.0435395	−	1.35334i
$461$	5.39680	+	3.11584i	0.251354	+	0.145119i	0.620384	−	0.784298i	$-0.286977\pi$
$461$	5.39680	+	3.11584i	0.251354	+	0.145119i	−0.369030	+	0.929417i	$0.620310\pi$
$462$	−3.50176	+	0.995591i	−0.162917	+	0.0463191i
$463$	−11.6827	−	20.2351i	−0.542943	−	0.940405i	−0.998733	−	0.0503179i	$-0.983977\pi$
$463$	−11.6827	−	20.2351i	−0.542943	−	0.940405i	0.455790	−	0.890087i	$-0.349357\pi$
$464$	14.8124	+	9.87318i	0.687649	+	0.458351i
$465$	13.0167	+	23.6234i	0.603636	+	1.09551i
$466$	−4.21011	+	7.02864i	−0.195030	+	0.325595i
$467$	−2.36972	−	1.36816i	−0.109658	−	0.0633109i	0.444168	−	0.895943i	$-0.353499\pi$
$467$	−2.36972	−	1.36816i	−0.109658	−	0.0633109i	−0.553826	+	0.832633i	$0.686833\pi$
$468$	−20.8976	−	14.1659i	−0.965992	−	0.654819i
$469$	−3.95584	−	12.2204i	−0.182664	−	0.564286i
$470$	36.2442	−	20.1556i	1.67182	−	0.929707i
$471$	5.18402	+	9.40821i	0.238867	+	0.433507i
$472$	−32.1410	−	20.6849i	−1.47941	−	0.952100i
$473$	0.265975	−	0.460682i	0.0122295	−	0.0211822i
$474$	−1.16441	+	32.2765i	−0.0534831	+	1.48251i
$475$	6.71621	+	3.87761i	0.308161	+	0.177917i
$476$	6.68019	−	26.9823i	0.306186	−	1.23673i
$477$	−9.20631	−	5.81764i	−0.421528	−	0.266371i
$478$	−13.4144	−	24.1220i	−0.613560	−	1.10332i
$479$	−7.71857			−0.352670			−0.176335	−	0.984330i	$-0.556424\pi$
$479$	−7.71857			−0.352670			−0.176335	+	0.984330i	$0.556424\pi$
$480$	17.5529	−	24.3811i	0.801174	−	1.11284i
$481$	−1.26605			−0.0577269
$482$	−15.6337	−	0.251417i	−0.712097	−	0.0114518i
$483$	6.26972	+	20.7763i	0.285282	+	0.945353i
$484$	21.3578	+	0.687120i	0.970810	+	0.0312327i
$485$	18.7219	+	10.8091i	0.850115	+	0.490814i
$486$	20.2392	−	8.73932i	0.918068	−	0.396424i
$487$	7.52153	+	13.0277i	0.340833	+	0.590340i	0.984588	−	0.174892i	$-0.0559576\pi$
$487$	7.52153	+	13.0277i	0.340833	+	0.590340i	−0.643755	+	0.765232i	$0.722624\pi$
$488$	4.26301	−	2.19427i	0.192977	−	0.0993302i
$489$	−9.69241	−	17.5902i	−0.438306	−	0.795458i
$490$	30.2403	−	2.62070i	1.36612	−	0.118391i
$491$	−15.1817	+	8.76514i	−0.685139	+	0.395565i	−0.801788	−	0.597608i	$-0.796118\pi$
$491$	−15.1817	+	8.76514i	−0.685139	+	0.395565i	0.116650	+	0.993173i	$0.462785\pi$
$492$	1.69470	−	32.4729i	0.0764030	−	1.46399i
$493$			23.3782i			1.05290i
$494$	−10.4834	−	0.168591i	−0.471671	−	0.00758528i
$495$	−2.40280	−	4.57462i	−0.107998	−	0.205614i
$496$	11.2674	−	16.9041i	0.505919	−	0.759015i
$497$	12.2972	+	11.0969i	0.551603	+	0.497762i
$498$	4.97987	+	9.39189i	0.223153	+	0.420861i
$499$		−	27.8372i		−	1.24616i	−0.782157	−	0.623082i	$-0.785880\pi$
$499$		−	27.8372i		−	1.24616i	0.782157	−	0.623082i	$-0.214120\pi$
$500$	−0.118020	+	3.66842i	−0.00527801	+	0.164057i
$501$	0.589164	−	29.4836i	0.0263219	−	1.31723i
$502$	0.618213	−	38.4419i	0.0275922	−	1.71575i
$503$	8.19096			0.365217			0.182608	−	0.983186i	$-0.441546\pi$
$503$	8.19096			0.365217			0.182608	+	0.983186i	$0.441546\pi$
$504$	−6.60733	+	21.4556i	−0.294314	+	0.955709i
$505$	−57.7059			−2.56788
$506$	−0.0604946	+	3.76170i	−0.00268931	+	0.167228i
$507$	7.13760	−	3.93289i	0.316992	−	0.174666i
$508$	31.9272	+	1.02715i	1.41654	+	0.0455726i
$509$			23.1223i			1.02488i	0.858723	+	0.512440i	$0.171258\pi$
$509$			23.1223i			1.02488i	−0.858723	+	0.512440i	$0.828742\pi$
$510$	39.4284	+	1.42242i	1.74592	+	0.0629859i
$511$	7.14090	−	33.4151i	0.315895	−	1.47820i
$512$	−22.3909	−	3.26329i	−0.989546	−	0.144219i
$513$	5.04444	−	7.64033i	0.222717	−	0.337329i
$514$	−21.3864	−	0.343931i	−0.943316	−	0.0151702i
$515$			61.2643i			2.69963i
$516$	−1.48989	−	2.92249i	−0.0655886	−	0.128655i
$517$	−4.65274	+	2.68626i	−0.204627	+	0.118142i
$518$	0.329453	+	1.07653i	0.0144753	+	0.0472999i
$519$	−5.84103	−	0.116720i	−0.256393	−	0.00512344i
$520$	16.7006	+	32.4457i	0.732369	+	1.42284i
$521$	−10.5840	−	18.3320i	−0.463693	−	0.803139i	0.535449	−	0.844568i	$-0.320142\pi$
$521$	−10.5840	−	18.3320i	−0.463693	−	0.803139i	−0.999141	+	0.0414286i	$0.986809\pi$
$522$	1.05756	−	18.8515i	0.0462880	−	0.825109i
$523$	−6.60716	−	3.81465i	−0.288911	−	0.166803i	0.348540	−	0.937294i	$-0.386678\pi$
$523$	−6.60716	−	3.81465i	−0.288911	−	0.166803i	−0.637451	+	0.770491i	$0.720011\pi$
$524$	0.690423	−	21.4605i	0.0301613	−	0.937507i
$525$	5.82725	+	19.3100i	0.254322	+	0.842759i
$526$	−22.3209	−	0.358960i	−0.973240	−	0.0156514i
$527$	26.6793			1.16217
$528$	−2.22284	+	3.19466i	−0.0967367	+	0.139030i
$529$	−0.573190			−0.0249213
$530$	7.65035	+	13.7570i	0.332310	+	0.597567i
$531$	−1.61957	+	40.5080i	−0.0702834	+	1.75790i
$532$	2.58465	+	8.95796i	0.112059	+	0.388377i
$533$	34.2059	+	19.7488i	1.48162	+	0.855414i
$534$	−21.0782	+	11.1763i	−0.912142	+	0.483645i
$535$	−6.66741	+	11.5483i	−0.288257	+	0.499276i
$536$	−11.5470	−	7.43126i	−0.498754	−	0.320982i
$537$	−2.23918	−	0.0447450i	−0.0966278	−	0.00193089i
$538$	−26.6452	+	14.8175i	−1.14876	+	0.638830i
$539$	−3.91158	+	0.402453i	−0.168484	+	0.0173349i
$540$	−31.7297	−	2.93063i	−1.36543	−	0.126114i
$541$	21.2083	+	12.2446i	0.911816	+	0.526437i	0.881015	−	0.473088i	$-0.156861\pi$
$541$	21.2083	+	12.2446i	0.911816	+	0.526437i	0.0308011	+	0.999526i	$0.490194\pi$
$542$	−9.54310	+	15.9319i	−0.409911	+	0.684333i
$543$	−14.5844	+	24.1342i	−0.625877	+	1.03570i
$544$	−12.7432	−	26.8451i	−0.546359	−	1.15098i
$545$	14.8488	+	25.7189i	0.636054	+	1.10168i
$546$	−19.5732	−	18.9869i	−0.837655	−	0.812565i
$547$	−37.4632	−	21.6294i	−1.60181	−	0.924807i	−0.991125	−	0.132935i	$-0.957560\pi$
$547$	−37.4632	−	21.6294i	−1.60181	−	0.924807i	−0.610688	−	0.791871i	$-0.709107\pi$
$548$	−21.5156	−	0.692197i	−0.919103	−	0.0295692i
$549$	−4.29901	−	2.71663i	−0.183477	−	0.115943i
$550$	−0.0562253	+	3.49622i	−0.00239746	+	0.149079i
$551$	−3.92064	−	6.79075i	−0.167025	−	0.289296i
$552$	19.2544	+	12.9427i	0.819520	+	0.550877i
$553$	−7.29047	+	34.1150i	−0.310022	+	1.45072i
$554$	0.594052	−	36.9396i	0.0252389	−	1.56941i
$555$	−1.39954	+	0.771163i	−0.0594073	+	0.0327340i
$556$	29.3874	−	15.7292i	1.24630	−	0.667068i
$557$	−21.9146	+	12.6524i	−0.928552	+	0.536100i	−0.886353	−	0.463010i	$-0.846770\pi$
$557$	−21.9146	+	12.6524i	−0.928552	+	0.536100i	−0.0421986	+	0.999109i	$0.513436\pi$
$558$	−21.5135	−	1.20689i	−0.910740	−	0.0510919i
$559$	3.98454			0.168528
$560$	23.2429	−	22.6437i	0.982191	−	0.956869i
$561$	−5.11014	−	0.102115i	−0.215750	−	0.00431128i
$562$	−3.34104	+	5.57775i	−0.140933	+	0.235283i
$563$	−31.0363	−	17.9188i	−1.30802	−	0.755187i	−0.326256	−	0.945281i	$-0.605787\pi$
$563$	−31.0363	−	17.9188i	−1.30802	−	0.755187i	−0.981766	+	0.190094i	$0.939121\pi$
$564$	−1.72667	+	33.0854i	−0.0727058	+	1.39315i
$565$	16.1593	−	9.32960i	0.679829	−	0.392499i
$566$	16.2139	+	9.71200i	0.681519	+	0.408226i
$567$	23.1675	−	5.50137i	0.972945	−	0.231036i
$568$	17.6869	+	0.853896i	0.742125	+	0.0358287i
$569$	−5.28646	−	9.15641i	−0.221620	−	0.383857i	0.733680	−	0.679495i	$-0.237801\pi$
$569$	−5.28646	−	9.15641i	−0.221620	−	0.383857i	−0.955300	+	0.295638i	$0.904468\pi$
$570$	−11.6915	+	6.19918i	−0.489702	+	0.259655i
$571$	5.94304	+	3.43121i	0.248708	+	0.143592i	0.619173	−	0.785255i	$-0.287468\pi$
$571$	5.94304	+	3.43121i	0.248708	+	0.143592i	−0.370464	+	0.928847i	$0.620801\pi$
$572$	−2.23082	−	4.16791i	−0.0932753	−	0.174269i
$573$	−0.416638	+	20.8499i	−0.0174053	+	0.871016i
$574$	7.89138	−	34.2245i	0.329380	−	1.42850i
$575$	20.8441			0.869259
$576$	9.06136	+	22.2237i	0.377557	+	0.925986i
$577$	19.3500	+	33.5151i	0.805549	+	1.39525i	0.915920	+	0.401362i	$0.131463\pi$
$577$	19.3500	+	33.5151i	0.805549	+	1.39525i	−0.110371	+	0.993891i	$0.535204\pi$
$578$	7.69970	−	12.8544i	0.320265	−	0.534672i
$579$	−25.6761	+	14.1478i	−1.06706	+	0.587963i
$580$	−14.3985	+	23.1838i	−0.597864	+	0.962654i
$581$	3.53622	+	10.9241i	0.146707	+	0.453209i
$582$	−15.2580	+	8.09023i	−0.632463	+	0.335351i
$583$	−1.01961	−	1.76602i	−0.0422279	−	0.0731409i
$584$	−16.7176	−	32.4788i	−0.691781	−	1.34398i
$585$	20.6762	−	32.7197i	0.854856	−	1.35279i
$586$	−17.2727	+	9.60541i	−0.713527	+	0.396796i
$587$	−11.2863	−	6.51612i	−0.465834	−	0.268949i	0.248660	−	0.968591i	$-0.420010\pi$
$587$	−11.2863	−	6.51612i	−0.465834	−	0.268949i	−0.714494	+	0.699642i	$0.753343\pi$
$588$	−11.0513	+	21.5840i	−0.455748	+	0.890109i
$589$	−7.74966	+	4.47427i	−0.319319	+	0.184359i
$590$	30.1110	−	50.2693i	1.23965	−	2.06956i
$591$	10.4764	−	17.3364i	0.430943	−	0.713122i
$592$	1.00146	+	0.667523i	0.0411599	+	0.0274350i
$593$	−4.54935	+	7.87971i	−0.186819	+	0.323581i	−0.944188	−	0.329407i	$-0.893151\pi$
$593$	−4.54935	+	7.87971i	−0.186819	+	0.323581i	0.757369	+	0.652988i	$0.226485\pi$
$594$	4.11606	+	0.313510i	0.168884	+	0.0128635i
$595$	41.6742	+	8.90591i	1.70848	+	0.365107i
$596$	0.987380	−	30.6909i	0.0404447	−	1.25715i
$597$	0.0321622	−	1.60950i	0.00131631	−	0.0658724i
$598$	−24.6284	+	13.6960i	−1.00713	+	0.560070i
$599$	2.28259	−	3.95356i	0.0932641	−	0.161538i	−0.815619	−	0.578590i	$-0.803603\pi$
$599$	2.28259	−	3.95356i	0.0932641	−	0.161538i	0.908883	+	0.417052i	$0.136937\pi$
$600$	17.8955	+	12.0293i	0.730582	+	0.491093i
$601$	−11.3422	+	19.6453i	−0.462658	+	0.801347i	−0.999092	−	0.0425951i	$-0.986437\pi$
$601$	−11.3422	+	19.6453i	−0.462658	+	0.801347i	0.536435	+	0.843942i	$0.319771\pi$
$602$	−1.03686	−	3.38808i	−0.0422594	−	0.138088i
$603$	−0.581847	+	14.5529i	−0.0236947	+	0.592641i
$604$	1.87869	+	0.0604410i	0.0764430	+	0.00245931i
$605$			32.7605i			1.33190i
$606$	24.4742	−	39.0665i	0.994195	−	1.58697i
$607$	−29.3088			−1.18961			−0.594803	−	0.803871i	$-0.702770\pi$
$607$	−29.3088			−1.18961			−0.594803	+	0.803871i	$0.702770\pi$
$608$	8.20364	+	5.66072i	0.332701	+	0.229573i
$609$	4.65962	−	19.8545i	0.188817	−	0.804547i
$610$	3.57244	+	6.42403i	0.144644	+	0.260102i
$611$	−34.8511	−	20.1213i	−1.40992	−	0.814020i
$612$	−17.6853	+	26.0895i	−0.714886	+	1.05460i
$613$	24.9406	−	14.3994i	1.00734	−	0.581588i	0.0969282	−	0.995291i	$-0.469098\pi$
$613$	24.9406	−	14.3994i	1.00734	−	0.581588i	0.910412	+	0.413703i	$0.135765\pi$
$614$	0.461424	−	28.6924i	0.0186215	−	1.15793i
$615$	49.8418	+	0.995976i	2.00981	+	0.0401616i
$616$	−2.96349	+	2.98146i	−0.119402	+	0.120126i
$617$	20.5507	+	35.5948i	0.827339	+	1.43299i	0.900118	+	0.435646i	$0.143480\pi$
$617$	20.5507	+	35.5948i	0.827339	+	1.43299i	−0.0727790	+	0.997348i	$0.523187\pi$
$618$	−41.4755	−	25.9834i	−1.66839	−	1.04520i
$619$			13.2514i			0.532620i	0.963887	+	0.266310i	$0.0858045\pi$
$619$			13.2514i			0.532620i	−0.963887	+	0.266310i	$0.914195\pi$
$620$	26.4575	+	16.4316i	1.06256	+	0.659911i
$621$	1.47409	−	24.5632i	0.0591533	−	0.985687i
$622$	−10.9602	+	18.2978i	−0.439466	+	0.733673i
$623$	−24.5169	+	7.93633i	−0.982251	+	0.317962i
$624$	−29.0485	−	2.45465i	−1.16287	−	0.0982648i
$625$	−27.6344			−1.10537
$626$	11.6474	+	20.9446i	0.465524	+	0.837115i
$627$	1.50149	−	0.827336i	0.0599637	−	0.0330406i
$628$	10.5369	+	6.54404i	0.420469	+	0.261136i
$629$			1.58059i			0.0630223i
$630$	−33.2021	−	9.06671i	−1.32280	−	0.361226i
$631$	−36.1852			−1.44051			−0.720254	−	0.693710i	$-0.755975\pi$
$631$	−36.1852			−1.44051			−0.720254	+	0.693710i	$0.755975\pi$
$632$	17.0678	+	33.1591i	0.678921	+	1.31900i
$633$	−20.3819	−	0.407287i	−0.810109	−	0.0161882i
$634$	7.65589	−	4.25748i	0.304054	−	0.169086i
$635$			48.9726i			1.94342i
$636$	−12.5581	−	0.655382i	−0.497960	−	0.0259876i
$637$	−17.2604	−	23.8668i	−0.683883	−	0.945639i
$638$	1.81675	−	3.03300i	0.0719256	−	0.120077i
$639$	−8.73351	−	16.6275i	−0.345492	−	0.657775i
$640$	3.89654	−	34.4704i	0.154024	−	1.36256i
$641$	37.7635			1.49157			0.745784	−	0.666187i	$-0.232075\pi$
$641$	37.7635			1.49157			0.745784	+	0.666187i	$0.232075\pi$
$642$	−4.99034	−	9.41164i	−0.196953	−	0.371448i
$643$	24.9536	−	14.4070i	0.984074	−	0.568156i	0.0805766	−	0.996748i	$-0.474324\pi$
$643$	24.9536	−	14.4070i	0.984074	−	0.568156i	0.903498	+	0.428593i	$0.140990\pi$
$644$	18.0546	+	17.3777i	0.711450	+	0.684775i
$645$	4.40468	−	2.42702i	0.173434	−	0.0955639i
$646$	−0.210477	+	13.0879i	−0.00828110	+	0.514938i
$647$	−10.4203	−	18.0484i	−0.409663	−	0.709558i	0.585189	−	0.810897i	$-0.301020\pi$
$647$	−10.4203	−	18.0484i	−0.409663	−	0.709558i	−0.994852	+	0.101340i	$0.967687\pi$
$648$	15.4412	−	20.2378i	0.606587	−	0.795017i
$649$	−3.79558	+	6.57413i	−0.148989	+	0.258057i
$650$	−22.8903	+	12.7294i	−0.897831	+	0.499288i
$651$	−22.6582	−	5.31760i	−0.888044	−	0.208413i
$652$	−19.7006	−	12.2352i	−0.771534	−	0.479167i
$653$			19.2885i			0.754817i	0.926047	+	0.377409i	$0.123185\pi$
$653$			19.2885i			0.754817i	−0.926047	+	0.377409i	$0.876815\pi$
$654$	−23.7092	−	0.855336i	−0.927104	−	0.0334463i
$655$	32.9180			1.28621
$656$	−16.6448	−	33.6566i	−0.649872	−	1.31407i
$657$	−20.6973	+	32.7531i	−0.807479	+	1.27782i
$658$	−8.04023	+	34.8700i	−0.313441	+	1.35938i
$659$	−16.5304	−	9.54384i	−0.643934	−	0.371775i	0.142194	−	0.989839i	$-0.454584\pi$
$659$	−16.5304	−	9.54384i	−0.643934	−	0.371775i	−0.786128	+	0.618063i	$0.787918\pi$
$660$	−5.00476	−	3.24857i	−0.194810	−	0.126450i
$661$	−26.7384	−	15.4374i	−1.04000	−	0.600446i	−0.120169	−	0.992753i	$-0.538344\pi$
$661$	−26.7384	−	15.4374i	−1.04000	−	0.600446i	−0.919834	+	0.392307i	$0.871677\pi$
$662$	32.8391	−	18.2620i	1.27633	−	0.709773i
$663$	−18.4762	−	33.5315i	−0.717556	−	1.30225i
$664$	10.3221	+	6.64299i	0.400576	+	0.257798i
$665$	−13.5989	+	4.40206i	−0.527341	+	0.170704i
$666$	0.0715012	−	1.27455i	0.00277061	−	0.0493877i
$667$	−18.2519	−	10.5377i	−0.706715	−	0.408022i
$668$	−16.0687	−	30.0217i	−0.621718	−	1.16158i
$669$	5.50203	−	3.03168i	0.212721	−	0.117211i
$670$	10.8177	−	18.0598i	0.417924	−	0.697710i
$671$	−0.476121	−	0.824666i	−0.0183805	−	0.0318359i
$672$	5.47185	+	25.3389i	0.211081	+	0.977469i
$673$	−11.9343	+	20.6708i	−0.460034	+	0.796802i	−0.998962	−	0.0455497i	$-0.985496\pi$
$673$	−11.9343	+	20.6708i	−0.460034	+	0.796802i	0.538928	+	0.842352i	$0.318829\pi$
$674$	1.73150	+	3.11363i	0.0666950	+	0.119932i
$675$	1.37006	−	22.8297i	0.0527337	−	0.878716i
$676$	4.96468	−	7.99391i	0.190949	−	0.307458i
$677$	4.98685	−	2.87916i	0.191660	−	0.110655i	−0.401099	−	0.916035i	$-0.631372\pi$
$677$	4.98685	−	2.87916i	0.191660	−	0.110655i	0.592759	+	0.805380i	$0.298038\pi$
$678$	−0.537412	+	14.8966i	−0.0206392	+	0.572102i
$679$	−17.7472	+	5.74491i	−0.681075	+	0.220469i
$680$	40.5066	−	20.8497i	1.55336	−	0.799551i
$681$	11.8667	−	19.6370i	0.454734	−	0.752491i
$682$	−3.46128	−	2.07329i	−0.132539	−	0.0793902i
$683$	23.8027	−	13.7425i	0.910784	−	0.525842i	0.0301008	−	0.999547i	$-0.490417\pi$
$683$	23.8027	−	13.7425i	0.910784	−	0.525842i	0.880683	+	0.473705i	$0.157084\pi$
$684$	0.761782	−	10.5442i	0.0291275	−	0.403169i
$685$		−	33.0025i		−	1.26096i
$686$	−15.8026	+	20.8873i	−0.603345	+	0.797481i
$687$	15.3317	−	25.3707i	0.584939	−	0.967954i
$688$	−3.15183	−	2.10085i	−0.120162	−	0.0800940i
$689$	7.63733	−	13.2282i	0.290959	−	0.503956i
$690$	−18.8829	+	30.1415i	−0.718859	+	1.14747i
$691$	5.57730	−	3.22006i	0.212171	−	0.122497i	−0.390149	−	0.920752i	$-0.627577\pi$
$691$	5.57730	−	3.22006i	0.212171	−	0.122497i	0.602320	+	0.798255i	$0.294243\pi$
$692$	−5.94763	+	3.18339i	−0.226095	+	0.121014i
$693$	4.31957	+	1.10525i	0.164087	+	0.0419850i
$694$	25.7716	+	15.4370i	0.978278	+	0.585982i
$695$	25.5506	+	44.2549i	0.969190	+	1.67869i
$696$	−9.58859	−	19.5804i	−0.363455	−	0.742191i
$697$	24.6552	−	42.7041i	0.933883	−	1.61753i
$698$	8.21839	+	4.92276i	0.311071	+	0.186329i
$699$	8.78859	−	4.84261i	0.332415	−	0.183164i
$700$	16.7804	+	16.1513i	0.634240	+	0.610460i
$701$		−	2.58776i		−	0.0977384i	−0.998805	−	0.0488692i	$-0.984438\pi$
$701$		−	2.58776i		−	0.0977384i	0.998805	−	0.0488692i	$-0.0155618\pi$
$702$	13.3819	+	27.8747i	0.505066	+	1.05206i
$703$	−0.265073	−	0.459121i	−0.00999744	−	0.0173161i
$704$	−0.432916	+	4.47308i	−0.0163161	+	0.168585i
$705$	−50.7819	−	1.01476i	−1.91256	−	0.0382182i
$706$	46.4002	+	0.746196i	1.74629	+	0.0280835i
$707$	33.3588	−	36.9671i	1.25459	−	1.39029i
$708$	21.2613	+	41.7051i	0.799050	+	1.56738i
$709$	36.1926	−	20.8958i	1.35924	−	0.784758i	0.369719	−	0.929144i	$-0.379454\pi$
$709$	36.1926	−	20.8958i	1.35924	−	0.784758i	0.989522	+	0.144385i	$0.0461205\pi$
$710$	−0.436517	+	27.1437i	−0.0163822	+	1.01868i
$711$	21.1308	−	33.4392i	0.792468	−	1.25407i
$712$	−14.9088	+	23.1659i	−0.558732	+	0.868179i
$713$	−12.0257	+	20.8292i	−0.450367	+	0.780058i
$714$	−23.7041	+	24.4360i	−0.887103	+	0.914495i
$715$	6.27652	−	3.62375i	0.234728	−	0.135521i
$716$	−2.28005	+	1.22037i	−0.0852094	+	0.0456072i
$717$	−0.675368	+	33.7975i	−0.0252221	+	1.26219i
$718$	10.8760	−	18.1572i	0.405890	−	0.677621i
$719$	5.84644	−	10.1263i	0.218035	−	0.377648i	−0.736172	−	0.676795i	$-0.763368\pi$
$719$	5.84644	−	10.1263i	0.218035	−	0.377648i	0.954207	+	0.299146i	$0.0967018\pi$
$720$	−33.6066	+	14.9803i	−1.25244	+	0.558282i
$721$	−39.2466	−	35.4158i	−1.46162	−	1.31895i
$722$	10.9253	+	19.6462i	0.406599	+	0.731155i
$723$	16.3896	+	9.90432i	0.609536	+	0.368346i
$724$	−1.04701	+	32.5442i	−0.0389116	+	1.20950i
$725$	−16.9638	−	9.79404i	−0.630019	−	0.363741i
$726$	−22.1786	−	13.8943i	−0.823125	−	0.515667i
$727$	−12.7925	+	22.1572i	−0.474447	+	0.821766i	−0.999572	−	0.0292594i	$-0.990685\pi$
$727$	−12.7925	+	22.1572i	−0.474447	+	0.821766i	0.525125	+	0.851025i	$0.324018\pi$
$728$	−30.4394	−	8.05769i	−1.12816	−	0.298638i
$729$	−26.8062	−	3.22903i	−0.992823	−	0.119594i
$730$	48.9431	−	27.2175i	1.81147	−	1.00737i
$731$		−	4.97447i		−	0.183988i
$732$	−5.86417	−	0.306040i	−0.216746	−	0.0113116i
$733$			28.5678i			1.05518i	0.849500	+	0.527588i	$0.176904\pi$
$733$			28.5678i			1.05518i	−0.849500	+	0.527588i	$0.823096\pi$
$734$	−12.2548	−	0.197078i	−0.452332	−	0.00727429i
$735$	−33.6179	−	15.8699i	−1.24002	−	0.585370i
$736$	26.7026	+	2.15157i	0.984271	+	0.0793081i
$737$	−1.36360	+	2.36182i	−0.0502288	+	0.0869989i
$738$	−21.8131	+	33.3201i	−0.802952	+	1.22653i
$739$	20.9874	−	12.1171i	0.772034	−	0.445734i	−0.0615659	−	0.998103i	$-0.519609\pi$
$739$	20.9874	−	12.1171i	0.772034	−	0.445734i	0.833600	+	0.552369i	$0.186276\pi$
$740$	−0.973476	+	1.56745i	−0.0357857	+	0.0576206i
$741$	10.9903	+	6.64147i	0.403738	+	0.243981i
$742$	−13.2354	−	3.05179i	−0.485888	−	0.112035i
$743$	−10.3268	−	17.8865i	−0.378853	−	0.656192i	0.612043	−	0.790824i	$-0.290348\pi$
$743$	−10.3268	−	17.8865i	−0.378853	−	0.656192i	−0.990896	+	0.134633i	$0.957015\pi$
$744$	−22.3453	+	10.9426i	−0.819217	+	0.401175i
$745$	47.0763			1.72474
$746$	0.666951	−	41.4726i	0.0244188	−	1.51842i
$747$	0.520128	−	13.0092i	0.0190305	−	0.475982i
$748$	−5.20340	+	2.78505i	−0.190255	+	0.101832i
$749$	−3.54366	−	10.9471i	−0.129482	−	0.399998i
$750$	2.38649	−	3.80940i	0.0871424	−	0.139100i
$751$	15.5357			0.566906			0.283453	−	0.958986i	$-0.408520\pi$
$751$	15.5357			0.566906			0.283453	+	0.958986i	$0.408520\pi$
$752$	16.9588	+	34.2914i	0.618424	+	1.25048i
$753$	−24.3538	+	40.3006i	−0.887503	+	1.46863i
$754$	26.4789	+	0.425827i	0.964305	+	0.0155077i
$755$			2.88170i			0.104876i
$756$	20.2198	−	18.6323i	0.735386	−	0.677649i
$757$		−	33.2585i		−	1.20880i	−0.796681	−	0.604400i	$-0.793413\pi$
$757$		−	33.2585i		−	1.20880i	0.796681	−	0.604400i	$-0.206587\pi$
$758$	0.0887725	−	5.52008i	0.00322436	−	0.200498i
$759$	2.38312	−	3.94357i	0.0865018	−	0.143143i
$760$	−8.26951	+	12.8495i	−0.299967	+	0.466100i
$761$	46.5453			1.68726			0.843632	−	0.536922i	$-0.180413\pi$
$761$	46.5453			1.68726			0.843632	+	0.536922i	$0.180413\pi$
$762$	−33.1541	−	20.7702i	−1.20105	−	0.752426i
$763$	−25.0597	−	5.35533i	−0.907222	−	0.193876i
$764$	11.3633	+	21.2304i	0.411109	+	0.768089i
$765$	−40.8487	−	25.8131i	−1.47689	−	0.933273i
$766$	5.00024	+	0.0804126i	0.180666	+	0.00290543i
$767$	−56.8611			−2.05314
$768$	21.6836	+	17.2575i	0.782440	+	0.622726i
$769$	4.61675	+	7.99644i	0.166484	+	0.288359i	0.937181	−	0.348842i	$-0.113425\pi$
$769$	4.61675	+	7.99644i	0.166484	+	0.288359i	−0.770697	+	0.637202i	$0.780092\pi$
$770$	−4.71458	−	4.39398i	−0.169902	−	0.158348i
$771$	22.4205	+	13.5488i	0.807453	+	0.487948i
$772$	−17.8595	+	28.7565i	−0.642776	+	1.03497i
$773$	11.2739	−	6.50898i	0.405493	−	0.234112i	−0.283358	−	0.959014i	$-0.591449\pi$
$773$	11.2739	−	6.50898i	0.405493	−	0.234112i	0.688851	+	0.724903i	$0.258115\pi$
$774$	−0.225030	+	4.01128i	−0.00808854	+	0.144183i
$775$	−11.1770	+	19.3592i	−0.401491	+	0.695403i
$776$	−10.7921	+	16.7692i	−0.387415	+	0.601980i
$777$	0.315036	−	1.34236i	0.0113018	−	0.0481569i
$778$	−0.382682	+	23.7960i	−0.0137198	+	0.853130i
$779$			16.5393i			0.592580i
$780$	2.32926	−	44.6321i	0.0834010	−	1.59808i
$781$		−	3.51684i		−	0.125842i
$782$	17.0986	+	30.7471i	0.611446	+	1.09952i
$783$	−12.7412	+	19.2979i	−0.455334	+	0.689651i
$784$	1.06949	+	27.9796i	0.0381960	+	0.999270i
$785$	−9.50799	+	16.4683i	−0.339355	+	0.587780i
$786$	−13.9611	+	22.2852i	−0.497978	+	0.794888i
$787$	20.1736	+	11.6472i	0.719112	+	0.415179i	0.814426	−	0.580268i	$-0.197052\pi$
$787$	20.1736	+	11.6472i	0.719112	+	0.415179i	−0.0953139	+	0.995447i	$0.530385\pi$
$788$	0.752097	−	23.3775i	0.0267923	−	0.832789i
$789$	23.4002	+	14.1408i	0.833068	+	0.503427i
$790$	−49.9683	+	27.7876i	−1.77779	+	0.988639i
$791$	−3.36478	+	15.7452i	−0.119638	+	0.559833i
$792$	4.32187	−	2.01041i	0.153571	−	0.0714367i
$793$	3.56636	−	6.17712i	0.126645	−	0.219356i
$794$	34.5291	+	20.6827i	1.22539	+	0.734003i
$795$	0.385168	−	19.2750i	0.0136605	−	0.683615i
$796$	−0.877185	−	1.63887i	−0.0310910	−	0.0580883i
$797$	41.7184	−	24.0861i	1.47774	−	0.853175i	0.478058	−	0.878328i	$-0.341341\pi$
$797$	41.7184	−	24.0861i	1.47774	−	0.853175i	0.999684	+	0.0251538i	$0.00800753\pi$
$798$	2.78738	−	11.0733i	0.0986721	−	0.391992i
$799$	−25.1203	+	43.5096i	−0.888691	+	1.53926i
$800$	24.8181	+	1.99973i	0.877453	+	0.0707012i
$801$	29.1965	+	1.16732i	1.03161	+	0.0412452i
$802$	44.5810	+	0.716940i	1.57421	+	0.0253160i
$803$	−6.28293	+	3.62745i	−0.221720	+	0.128010i
$804$	7.63835	+	14.9830i	0.269384	+	0.528410i
$805$	−25.7377	+	28.5217i	−0.907136	+	1.00526i
$806$	0.485957	−	30.2180i	0.0171171	−	1.06438i
$807$	37.3328	+	0.746012i	1.31418	+	0.0262609i
$808$	2.56694	−	53.1693i	0.0903045	−	1.87049i
$809$	−18.8270	−	32.6093i	−0.661923	−	1.14648i	−0.980110	−	0.198456i	$-0.936407\pi$
$809$	−18.8270	−	32.6093i	−0.661923	−	1.14648i	0.318187	−	0.948028i	$-0.396926\pi$
$810$	31.7716	+	22.6628i	1.11634	+	0.796291i
$811$		−	11.2869i		−	0.396338i	−0.980168	−	0.198169i	$-0.936501\pi$
$811$		−	11.2869i		−	0.396338i	0.980168	−	0.198169i	$-0.0634994\pi$
$812$	−6.52830	−	22.6260i	−0.229098	−	0.794016i
$813$	19.9212	−	10.9768i	0.698667	−	0.384973i
$814$	0.122830	−	0.205060i	0.00430518	−	0.00718735i
$815$	17.7768	−	30.7903i	0.622694	−	1.07854i
$816$	−3.06450	+	36.2655i	−0.107279	+	1.26954i
$817$	0.834246	+	1.44496i	0.0291866	+	0.0505526i
$818$	−5.90204	+	9.85326i	−0.206360	+	0.344511i
$819$	9.00809	+	32.1601i	0.314768	+	1.12377i
$820$	50.7514	−	27.1640i	1.77232	−	0.948609i
$821$	−0.300265	+	0.173358i	−0.0104793	+	0.00605023i	−0.505231	−	0.862984i	$-0.668593\pi$
$821$	−0.300265	+	0.173358i	−0.0104793	+	0.00605023i	0.494751	+	0.869035i	$0.335259\pi$
$822$	22.3425	+	13.9970i	0.779284	+	0.488202i
$823$	8.62696	−	14.9423i	0.300717	−	0.520857i	−0.675582	−	0.737285i	$-0.736107\pi$
$823$	8.62696	−	14.9423i	0.300717	−	0.520857i	0.976299	+	0.216428i	$0.0694407\pi$
$824$	−56.4480	−	2.72523i	−1.96646	−	0.0949378i
$825$	2.21494	−	3.66526i	0.0771142	−	0.127608i
$826$	14.7965	+	48.3493i	0.514835	+	1.68229i
$827$		−	2.94840i		−	0.102526i	−0.998685	−	0.0512630i	$-0.983675\pi$
$827$		−	2.94840i		−	0.102526i	0.998685	−	0.0512630i	$-0.0163247\pi$
$828$	−12.3970	−	25.5672i	−0.430825	−	0.888520i
$829$	−37.5570	+	21.6835i	−1.30441	+	0.753100i	−0.981157	−	0.193213i	$-0.938109\pi$
$829$	−37.5570	+	21.6835i	−1.30441	+	0.753100i	−0.323251	+	0.946313i	$0.604776\pi$
$830$	−9.67019	+	16.1441i	−0.335657	+	0.560369i
$831$	−23.4021	+	38.7256i	−0.811808	+	1.34338i
$832$	−30.6379	+	13.9444i	−1.06218	+	0.483435i
$833$	−29.7964	+	21.5487i	−1.03238	+	0.746617i
$834$	−40.7968	−	1.47179i	−1.41268	−	0.0509639i
$835$	45.2101	−	26.1021i	1.56456	−	0.903300i
$836$	1.04439	−	1.68162i	0.0361208	−	0.0581602i
$837$	22.0229	+	14.5404i	0.761224	+	0.502589i
$838$	34.8218	−	19.3646i	1.20290	−	0.668938i
$839$	1.50843	−	2.61268i	0.0520768	−	0.0901996i	−0.838812	−	0.544421i	$-0.816749\pi$
$839$	1.50843	−	2.61268i	0.0520768	−	0.0901996i	0.890889	+	0.454222i	$0.150083\pi$
$840$	−38.5570	+	9.63363i	−1.33034	+	0.332392i
$841$	−4.59726	−	7.96270i	−0.158526	−	0.274576i
$842$	4.24956	+	2.54546i	0.146450	+	0.0877224i
$843$	6.97440	−	3.84297i	0.240211	−	0.132359i
$844$	−20.7539	+	11.1083i	−0.714379	+	0.382362i
$845$	12.4938	+	7.21330i	0.429800	+	0.248145i
$846$	22.2246	−	33.9486i	0.764096	−	1.16718i
$847$	−20.9867	−	18.9383i	−0.721113	−	0.650726i
$848$	−13.0158	+	6.43696i	−0.446965	+	0.221046i
$849$	−11.1711	−	20.2738i	−0.383390	−	0.695794i
$850$	15.8919	+	28.5772i	0.545089	+	0.980190i
$851$	−1.23400	−	0.712452i	−0.0423011	−	0.0244225i
$852$	−18.1909	−	11.8077i	−0.623212	−	0.404524i
$853$	9.88047	+	5.70449i	0.338301	+	0.195318i	0.659520	−	0.751687i	$-0.270759\pi$
$853$	9.88047	+	5.70449i	0.338301	+	0.195318i	−0.321220	+	0.947005i	$0.604093\pi$
$854$	−6.18048	−	1.42508i	−0.211492	−	0.0487651i
$855$	16.1945	+	0.647480i	0.553840	+	0.0221433i
$856$	−10.3438	−	6.65696i	−0.353545	−	0.227530i
$857$	34.1654			1.16707			0.583535	−	0.812088i	$-0.301669\pi$
$857$	34.1654			1.16707			0.583535	+	0.812088i	$0.301669\pi$
$858$	−0.208739	+	5.78606i	−0.00712622	+	0.197533i
$859$		−	34.6365i		−	1.18178i	−0.806751	−	0.590891i	$-0.798776\pi$
$859$		−	34.6365i		−	1.18178i	0.806751	−	0.590891i	$-0.201224\pi$
$860$	3.06375	−	4.93311i	0.104473	−	0.168218i
$861$	−29.4507	+	31.3535i	−1.00368	+	1.06852i
$862$	−14.1203	−	25.3914i	−0.480938	−	0.864834i
$863$	0.320796	−	0.555635i	0.0109200	−	0.0189140i	−0.860514	−	0.509427i	$-0.829857\pi$
$863$	0.320796	−	0.555635i	0.0109200	−	0.0189140i	0.871434	+	0.490513i	$0.163191\pi$
$864$	4.11167	−	29.1049i	0.139882	−	0.990168i
$865$	−5.17111	−	8.95662i	−0.175823	−	0.304534i
$866$	−33.3339	−	0.536067i	−1.13273	−	0.0182163i
$867$	−16.0731	+	8.85645i	−0.545871	+	0.300781i
$868$	−25.8209	+	7.45015i	−0.876420	+	0.252874i
$869$	6.41453	−	3.70343i	0.217598	−	0.125630i
$870$	29.5303	−	15.6578i	1.00117	−	0.530851i
$871$	−20.4279			−0.692174
$872$	−24.3576	+	12.5374i	−0.824851	+	0.424571i
$873$	21.1346	+	0.844994i	0.715298	+	0.0285987i
$874$	−10.1232	−	6.06371i	−0.342421	−	0.205108i
$875$	3.25284	−	3.60468i	0.109966	−	0.121861i
$876$	−2.33164	+	44.6777i	−0.0787789	+	1.50952i
$877$		−	33.5204i		−	1.13190i	−0.824439	−	0.565951i	$-0.808509\pi$
$877$		−	33.5204i		−	1.13190i	0.824439	−	0.565951i	$-0.191491\pi$
$878$	−2.22189	−	3.99546i	−0.0749853	−	0.134840i
$879$	24.2008	+	0.483599i	0.816273	+	0.0163114i
$880$	−6.87544	−	0.442849i	−0.231771	−	0.0149284i
$881$	27.1285			0.913982			0.456991	−	0.889471i	$-0.348927\pi$
$881$	27.1285			0.913982			0.456991	+	0.889471i	$0.348927\pi$
$882$	25.0018	−	16.0284i	0.841855	−	0.539704i
$883$			22.6254i			0.761404i	0.924698	+	0.380702i	$0.124318\pi$
$883$			22.6254i			0.761404i	−0.924698	+	0.380702i	$0.875682\pi$
$884$	−37.5543	−	23.3234i	−1.26309	−	0.784451i
$885$	−62.8566	+	34.6347i	−2.11290	+	1.16423i
$886$	16.9430	−	9.42208i	0.569211	−	0.316541i
$887$	−9.60902			−0.322639			−0.161320	−	0.986902i	$-0.551575\pi$
$887$	−9.60902			−0.322639			−0.161320	+	0.986902i	$0.551575\pi$
$888$	−0.648282	−	1.32382i	−0.0217549	−	0.0444246i
$889$	−31.3724	−	28.3102i	−1.05220	−	0.949494i
$890$	−36.2321	−	21.7028i	−1.21450	−	0.727479i
$891$	−4.16260	−	2.86934i	−0.139452	−	0.0961267i
$892$	3.82703	−	6.16212i	0.128139	−	0.206323i
$893$		−	16.8512i		−	0.563905i
$894$	−19.9659	+	31.8703i	−0.667761	+	1.06590i
$895$	−1.98236	−	3.43356i	−0.0662631	−	0.114771i
$896$	19.8296	+	22.4229i	0.662461	+	0.749097i
$897$	34.5069	+	0.689544i	1.15215	+	0.0230232i
$898$	−40.7771	−	0.655767i	−1.36075	−	0.0218832i
$899$	19.5741	−	11.3011i	0.652831	−	0.376912i
$900$	−11.5221	−	23.7628i	−0.384070	−	0.792094i
$901$	−16.5147	−	9.53477i	−0.550185	−	0.317649i
$902$	−6.51727	+	3.62429i	−0.217001	+	0.120676i
$903$	−0.991488	+	4.22471i	−0.0329947	+	0.140589i
$904$	7.87734	+	15.3040i	0.261996	+	0.509003i
$905$	−49.9190			−1.65937
$906$	−1.95089	−	1.22219i	−0.0648141	−	0.0406044i
$907$		−	38.4654i		−	1.27722i	−0.769529	−	0.638611i	$-0.779509\pi$
$907$		−	38.4654i		−	1.27722i	0.769529	−	0.638611i	$-0.220491\pi$
$908$	0.851904	−	26.4798i	0.0282714	−	0.878764i
$909$	−49.9848	+	26.2542i	−1.65789	+	0.870798i
$910$	10.8462	−	47.0395i	0.359549	−	1.55934i
$911$	6.02421	−	10.4342i	0.199591	−	0.345702i	−0.748805	−	0.662791i	$-0.769372\pi$
$911$	6.02421	−	10.4342i	0.199591	−	0.345702i	0.948396	+	0.317089i	$0.102705\pi$
$912$	−5.19176	−	11.0481i	−0.171916	−	0.365840i
$913$	1.21895	−	2.11129i	0.0403415	−	0.0698736i
$914$	6.02893	+	10.8413i	0.199419	+	0.358600i
$915$	0.179860	−	9.00075i	0.00594598	−	0.297555i
$916$	1.10065	−	34.2116i	0.0363665	−	1.13038i
$917$	−19.0293	+	21.0876i	−0.628403	+	0.696375i
$918$	34.8000	−	16.7065i	1.14857	−	0.551396i
$919$	3.10718	−	5.38180i	0.102496	−	0.177529i	−0.810216	−	0.586131i	$-0.800650\pi$
$919$	3.10718	−	5.38180i	0.102496	−	0.177529i	0.912713	+	0.408602i	$0.133984\pi$
$920$	−1.98050	+	41.0224i	−0.0652952	+	1.35247i
$921$	−18.1773	+	30.0797i	−0.598962	+	0.991158i
$922$	−7.56039	−	4.52862i	−0.248988	−	0.149142i
$923$	22.8134	−	13.1714i	0.750914	−	0.433540i
$924$	4.97424	−	1.32817i	0.163640	−	0.0436934i
$925$	−1.14692	−	0.662172i	−0.0377104	−	0.0217721i
$926$	16.0596	+	28.8787i	0.527752	+	0.949014i
$927$	27.8732	+	53.0671i	0.915476	+	1.74295i
$928$	−20.7207	−	14.2978i	−0.680190	−	0.469349i
$929$	9.42690	+	16.3279i	0.309287	+	0.535700i	0.978206	−	0.207634i	$-0.0665764\pi$
$929$	9.42690	+	16.3279i	0.309287	+	0.535700i	−0.668920	+	0.743334i	$0.733243\pi$
$930$	−17.8689	−	33.7002i	−0.585943	−	1.10507i
$931$	5.04126	−	11.2563i	0.165221	−	0.368912i
$932$	6.11305	−	9.84297i	0.200240	−	0.322417i
$933$	22.8795	−	12.6068i	0.749040	−	0.412729i
$934$	3.31975	+	1.98851i	0.108626	+	0.0650660i
$935$	−4.52404	−	7.83587i	−0.147952	−	0.256260i
$936$	29.2277	+	20.5062i	0.955338	+	0.670267i
$937$	31.2801			1.02188			0.510938	−	0.859617i	$-0.329298\pi$
$937$	31.2801			1.02188			0.510938	+	0.859617i	$0.329298\pi$
$938$	5.31579	+	17.3700i	0.173567	+	0.567150i
$939$	0.586406	−	29.3456i	0.0191366	−	0.957657i
$940$	−51.7087	+	27.6764i	−1.68655	+	0.902705i
$941$	−19.2365	−	11.1062i	−0.627092	−	0.362052i	0.152533	−	0.988298i	$-0.451257\pi$
$941$	−19.2365	−	11.1062i	−0.627092	−	0.362052i	−0.779625	+	0.626246i	$0.784590\pi$
$942$	−7.11642	−	13.4214i	−0.231866	−	0.437292i
$943$	22.2267	+	38.4978i	0.723801	+	1.25366i
$944$	44.9780	+	29.9800i	1.46391	+	0.975765i
$945$	29.5470	+	30.0642i	0.961163	+	0.977989i
$946$	−0.386572	+	0.645370i	−0.0125686	+	0.0209828i
$947$	24.9827	−	14.4238i	0.811828	−	0.468709i	−0.0357623	−	0.999360i	$-0.511386\pi$
$947$	24.9827	−	14.4238i	0.811828	−	0.468709i	0.847590	+	0.530651i	$0.178053\pi$
$948$	2.38048	−	45.6135i	0.0773144	−	1.48146i
$949$	−47.0619	−	27.1712i	−1.52770	−	0.882015i
$950$	−9.40875	−	5.63578i	−0.305260	−	0.182849i
$951$	−10.7267	−	0.214349i	−0.347837	−	0.00695075i
$952$	−10.0596	+	38.0019i	−0.326033	+	1.23165i
$953$	30.1749			0.977460			0.488730	−	0.872435i	$-0.337460\pi$
$953$	30.1749			0.977460			0.488730	+	0.872435i	$0.337460\pi$
$954$	12.8857	+	8.43567i	0.417190	+	0.273115i
$955$	−31.9711	+	18.4585i	−1.03456	+	0.597305i
$956$	18.4198	+	34.4144i	0.595740	+	1.11304i
$957$	−3.79245	+	2.08968i	−0.122593	+	0.0675498i
$958$	10.9143	+	0.175521i	0.352625	+	0.00567082i
$959$	21.1418	+	19.0782i	0.682705	+	0.616067i
$960$	−25.3747	+	34.0765i	−0.818965	+	1.09982i
$961$	2.60311	+	4.50872i	0.0839712	+	0.145442i
$962$	1.79023	+	0.0287900i	0.0577194	+	0.000928228i
$963$	−0.521221	+	13.0366i	−0.0167961	+	0.420097i
$964$	22.1008	+	0.711024i	0.711820	+	0.0229005i
$965$	−44.9440	−	25.9484i	−1.44680	−	0.835309i
$966$	−8.39312	−	29.5209i	−0.270044	−	0.949818i
$967$	−8.48552	−	14.6973i	−0.272876	−	0.472635i	0.696721	−	0.717342i	$-0.254641\pi$
$967$	−8.48552	−	14.6973i	−0.272876	−	0.472635i	−0.969597	+	0.244707i	$0.921308\pi$
$968$	−30.1850	−	1.45729i	−0.970183	−	0.0468390i
$969$	8.29150	−	13.7207i	0.266361	−	0.440773i
$970$	−26.2275	−	15.7101i	−0.842113	−	0.504421i
$971$	17.9990	+	10.3917i	0.577616	+	0.333487i	0.760185	−	0.649706i	$-0.225108\pi$
$971$	17.9990	+	10.3917i	0.577616	+	0.333487i	−0.182569	+	0.983193i	$0.558441\pi$
$972$	−28.8176	+	11.8974i	−0.924323	+	0.381610i
$973$	−43.1206	−	9.21500i	−1.38238	−	0.295419i
$974$	−10.3394	−	18.5926i	−0.331297	−	0.595744i
$975$	32.0717	+	0.640881i	1.02712	+	0.0205246i
$976$	−6.07792	+	3.00583i	−0.194550	+	0.0962143i
$977$	−8.27866	+	14.3391i	−0.264858	+	0.458747i	−0.967526	−	0.252770i	$-0.918658\pi$
$977$	−8.27866	+	14.3391i	−0.264858	+	0.458747i	0.702668	+	0.711517i	$0.251992\pi$
$978$	13.3054	+	25.0936i	0.425459	+	0.802403i
$979$	4.73836	+	2.73569i	0.151439	+	0.0874332i
$980$	−42.8203	+	3.01808i	−1.36785	+	0.0964089i
$981$	24.5633	+	15.5220i	0.784246	+	0.495579i
$982$	21.6667	−	12.0489i	0.691411	−	0.384497i
$983$	−2.01253			−0.0641897			−0.0320948	−	0.999485i	$-0.510218\pi$
$983$	−2.01253			−0.0641897			−0.0320948	+	0.999485i	$0.510218\pi$
$984$	−3.13480	+	45.8792i	−0.0999336	+	1.46257i
$985$	35.8584			1.14254
$986$	0.531621	−	33.0574i	0.0169303	−	1.05276i
$987$	30.0062	−	31.9449i	0.955108	−	1.01682i
$988$	14.8200	+	0.476787i	0.471488	+	0.0151686i
$989$	3.88368	+	2.24225i	0.123494	+	0.0712993i
$990$	3.29360	+	6.52330i	0.104677	+	0.207324i
$991$	13.6157	+	23.5831i	0.432516	+	0.749141i	0.997089	−	0.0762427i	$-0.0242924\pi$
$991$	13.6157	+	23.5831i	0.432516	+	0.749141i	−0.564573	+	0.825383i	$0.690959\pi$
$992$	−16.3168	+	23.6466i	−0.518059	+	0.750781i
$993$	−46.0110	−	0.919428i	−1.46012	−	0.0291772i
$994$	−17.1362	−	15.9709i	−0.543528	−	0.506567i
$995$	2.46800	−	1.42490i	0.0782409	−	0.0451724i
$996$	−6.82811	−	13.3937i	−0.216357	−	0.424395i
$997$			28.9122i			0.915660i	0.889040	+	0.457830i	$0.151373\pi$
$997$			28.9122i			0.915660i	−0.889040	+	0.457830i	$0.848627\pi$
$998$	−0.633020	+	39.3626i	−0.0200379	+	1.24600i
$999$	−0.861430	+	1.30473i	−0.0272544	+	0.0412797i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.w.a.205.1	✓	184
7.4	even	3		504.2.cq.a.277.61	yes	184
8.5	even	2	inner	504.2.w.a.205.62	yes	184
9.4	even	3		504.2.cq.a.373.61	yes	184
56.53	even	6		504.2.cq.a.277.62	yes	184
63.4	even	3	inner	504.2.w.a.445.62	yes	184
72.13	even	6		504.2.cq.a.373.62	yes	184
504.445	even	6	inner	504.2.w.a.445.1	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.1	✓	184	1.1	even	1	trivial
504.2.w.a.205.62	yes	184	8.5	even	2	inner
504.2.w.a.445.1	yes	184	504.445	even	6	inner
504.2.w.a.445.62	yes	184	63.4	even	3	inner
504.2.cq.a.277.61	yes	184	7.4	even	3
504.2.cq.a.277.62	yes	184	56.53	even	6
504.2.cq.a.373.61	yes	184	9.4	even	3
504.2.cq.a.373.62	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)

\(f(q)\)	\(=\)	\(q+(-1.41403 - 0.0227401i) q^{2} +(1.48240 + 0.895821i) q^{3} +(1.99897 + 0.0643103i) q^{4} +3.06618i q^{5} +(-2.07579 - 1.30043i) q^{6} +(-1.96423 - 1.77251i) q^{7} +(-2.82514 - 0.136393i) q^{8} +(1.39501 + 2.65593i) q^{9} +O(q^{10})\)	\(q+(-1.41403 - 0.0227401i) q^{2} +(1.48240 + 0.895821i) q^{3} +(1.99897 + 0.0643103i) q^{4} +3.06618i q^{5} +(-2.07579 - 1.30043i) q^{6} +(-1.96423 - 1.77251i) q^{7} +(-2.82514 - 0.136393i) q^{8} +(1.39501 + 2.65593i) q^{9} +(0.0697253 - 4.33568i) q^{10} +0.561747i q^{11} +(2.90565 + 1.88605i) q^{12} +(-3.64401 + 2.10387i) q^{13} +(2.73718 + 2.55105i) q^{14} +(-2.74675 + 4.54531i) q^{15} +(3.99173 + 0.257108i) q^{16} +(2.62656 + 4.54934i) q^{17} +(-1.91219 - 3.78728i) q^{18} +(-1.52590 - 0.880977i) q^{19} +(-0.197187 + 6.12920i) q^{20} +(-1.32393 - 4.38716i) q^{21} +(0.0127742 - 0.794328i) q^{22} -4.73570 q^{23} +(-4.06579 - 2.73301i) q^{24} -4.40148 q^{25} +(5.20058 - 2.89207i) q^{26} +(-0.311273 + 5.18682i) q^{27} +(-3.81245 - 3.66950i) q^{28} +(3.85410 + 2.22517i) q^{29} +(3.98735 - 6.36474i) q^{30} +(2.53938 - 4.39833i) q^{31} +(-5.63858 - 0.454331i) q^{32} +(-0.503225 + 0.832733i) q^{33} +(-3.61059 - 6.49263i) q^{34} +(5.43484 - 6.02270i) q^{35} +(2.61777 + 5.39882i) q^{36} +(0.260575 + 0.150443i) q^{37} +(2.13763 + 1.28043i) q^{38} +(-7.28656 - 0.145606i) q^{39} +(0.418207 - 8.66239i) q^{40} +(-4.69344 - 8.12928i) q^{41} +(1.77231 + 6.23369i) q^{42} +(-0.820087 - 0.473478i) q^{43} +(-0.0361262 + 1.12291i) q^{44} +(-8.14356 + 4.27736i) q^{45} +(6.69642 + 0.107690i) q^{46} +(4.78197 + 8.28261i) q^{47} +(5.68701 + 3.95701i) q^{48} +(0.716430 + 6.96324i) q^{49} +(6.22383 + 0.100090i) q^{50} +(-0.181780 + 9.09686i) q^{51} +(-7.41955 + 3.97122i) q^{52} +(-3.14379 + 1.81507i) q^{53} +(0.558098 - 7.32725i) q^{54} -1.72242 q^{55} +(5.30747 + 5.27549i) q^{56} +(-1.47279 - 2.67289i) q^{57} +(-5.39922 - 3.23410i) q^{58} +(11.7030 + 6.75673i) q^{59} +(-5.78297 + 8.90927i) q^{60} +(-1.46804 + 0.847572i) q^{61} +(-3.69078 + 6.16163i) q^{62} +(1.96752 - 7.68953i) q^{63} +(7.96279 + 0.770660i) q^{64} +(-6.45085 - 11.1732i) q^{65} +(0.730512 - 1.16607i) q^{66} +(4.20442 + 2.42742i) q^{67} +(4.95784 + 9.26289i) q^{68} +(-7.02019 - 4.24233i) q^{69} +(-7.82198 + 8.39270i) q^{70} -6.26054 q^{71} +(-3.57884 - 7.69363i) q^{72} +(6.45744 + 11.1846i) q^{73} +(-0.365040 - 0.218656i) q^{74} +(-6.52475 - 3.94294i) q^{75} +(-2.99356 - 1.85917i) q^{76} +(0.995702 - 1.10340i) q^{77} +(10.3001 + 0.371588i) q^{78} +(-6.59270 - 11.4189i) q^{79} +(-0.788341 + 12.2394i) q^{80} +(-5.10789 + 7.41009i) q^{81} +(6.45181 + 11.6018i) q^{82} +(-3.75844 - 2.16993i) q^{83} +(-2.36435 - 8.85493i) q^{84} +(-13.9491 + 8.05352i) q^{85} +(1.14886 + 0.688161i) q^{86} +(3.71996 + 6.75117i) q^{87} +(0.0766186 - 1.58701i) q^{88} +(4.86997 - 8.43504i) q^{89} +(11.6125 - 5.86313i) q^{90} +(10.8868 + 2.32654i) q^{91} +(-9.46649 - 0.304554i) q^{92} +(7.70449 - 4.24525i) q^{93} +(-6.57350 - 11.8206i) q^{94} +(2.70124 - 4.67868i) q^{95} +(-7.95162 - 5.72466i) q^{96} +(3.52525 - 6.10591i) q^{97} +(-0.854709 - 9.86253i) q^{98} +(-1.49196 + 0.783643i) 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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