LMFDB - Embedded newform 221.2.z.a.216.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [221,2,Mod(44,221)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(221, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 3]))

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

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

chi := DirichletCharacter("221.44");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 221 = 13 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	221.z (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:	$1.76469388467$
Analytic rank:	$0$
Dimension:	$152$
Relative dimension:	$19$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			216.2
Character	$\chi$	$=$	221.216
Dual form			221.2.z.a.44.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.841331 + 2.03115i) q^{2} +(0.600920 - 0.401522i) q^{3} +(-2.00353 - 2.00353i) q^{4} +(0.250002 + 0.374154i) q^{5} +(0.309980 + 1.55837i) q^{6} +(-0.555096 + 0.830760i) q^{7} +(1.69279 - 0.701176i) q^{8} +(-0.948165 + 2.28907i) q^{9} +O(q^{10})$	\(q+(-0.841331 + 2.03115i) q^{2} +(0.600920 - 0.401522i) q^{3} +(-2.00353 - 2.00353i) q^{4} +(0.250002 + 0.374154i) q^{5} +(0.309980 + 1.55837i) q^{6} +(-0.555096 + 0.830760i) q^{7} +(1.69279 - 0.701176i) q^{8} +(-0.948165 + 2.28907i) q^{9} +(-0.970297 + 0.193004i) q^{10} +(0.639498 + 3.21497i) q^{11} +(-2.00842 - 0.399499i) q^{12} +(-2.93552 + 2.09350i) q^{13} +(-1.22038 - 1.82643i) q^{14} +(0.300462 + 0.124455i) q^{15} -1.63859i q^{16} +(3.55089 + 2.09551i) q^{17} +(-3.85173 - 3.85173i) q^{18} +(-1.81784 + 4.38866i) q^{19} +(0.248742 - 1.25051i) q^{20} +0.722104i q^{21} +(-7.06812 - 1.40594i) q^{22} +(2.65190 - 3.96885i) q^{23} +(0.735694 - 1.10104i) q^{24} +(1.83593 - 4.43232i) q^{25} +(-1.78247 - 7.72381i) q^{26} +(0.772329 + 3.88276i) q^{27} +(2.77660 - 0.552300i) q^{28} +(0.910635 - 4.57807i) q^{29} +(-0.505576 + 0.505576i) q^{30} +(0.972979 - 4.89149i) q^{31} +(6.71381 + 2.78095i) q^{32} +(1.67517 + 1.67517i) q^{33} +(-7.24377 + 5.44939i) q^{34} -0.449607 q^{35} +(6.48589 - 2.68654i) q^{36} +(-0.0473425 + 0.238007i) q^{37} +(-7.38462 - 7.38462i) q^{38} +(-0.923428 + 2.43670i) q^{39} +(0.685548 + 0.458068i) q^{40} +(6.27078 + 4.19000i) q^{41} +(-1.46670 - 0.607528i) q^{42} +(-7.38373 - 3.05844i) q^{43} +(5.16003 - 7.72253i) q^{44} +(-1.09351 + 0.217512i) q^{45} +(5.83021 + 8.72552i) q^{46} -0.215085 q^{47} +(-0.657932 - 0.984665i) q^{48} +(2.29675 + 5.54485i) q^{49} +(7.45809 + 7.45809i) q^{50} +(2.97520 - 0.166528i) q^{51} +(10.0758 + 1.68701i) q^{52} +(1.26863 + 3.06274i) q^{53} +(-8.53626 - 1.69797i) q^{54} +(-1.04302 + 1.04302i) q^{55} +(-0.357152 + 1.79552i) q^{56} +(0.669765 + 3.36714i) q^{57} +(8.53262 + 5.70131i) q^{58} +(10.3366 - 4.28158i) q^{59} +(-0.352634 - 0.851333i) q^{60} +(0.651639 + 3.27601i) q^{61} +(9.11677 + 6.09163i) q^{62} +(-1.37535 - 2.05835i) q^{63} +(-8.97975 + 8.97975i) q^{64} +(-1.51717 - 0.574958i) q^{65} +(-4.81189 + 1.99315i) q^{66} +(0.454653 - 0.454653i) q^{67} +(-2.91590 - 11.3127i) q^{68} -3.44976i q^{69} +(0.378268 - 0.913220i) q^{70} +(4.13678 + 0.822856i) q^{71} +4.53975i q^{72} +(3.60140 - 2.40638i) q^{73} +(-0.443597 - 0.296402i) q^{74} +(-0.676429 - 3.40064i) q^{75} +(12.4349 - 5.15069i) q^{76} +(-3.02585 - 1.25335i) q^{77} +(-4.17240 - 3.92569i) q^{78} +(1.73519 - 2.59689i) q^{79} +(0.613086 - 0.409651i) q^{80} +(-3.23282 - 3.23282i) q^{81} +(-13.7863 + 9.21172i) q^{82} +(-3.65632 - 1.51450i) q^{83} +(1.44675 - 1.44675i) q^{84} +(0.103686 + 1.85246i) q^{85} +(12.4243 - 12.4243i) q^{86} +(-1.29098 - 3.11670i) q^{87} +(3.33680 + 4.99387i) q^{88} -8.30248i q^{89} +(0.478201 - 2.40408i) q^{90} +(-0.109698 - 3.60080i) q^{91} +(-13.2648 + 2.63854i) q^{92} +(-1.37936 - 3.33007i) q^{93} +(0.180958 - 0.436871i) q^{94} +(-2.09650 + 0.417019i) q^{95} +(5.15108 - 1.02461i) q^{96} +(-14.0628 + 9.39646i) q^{97} -13.1948 q^{98} +(-7.96566 - 1.58447i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 152 q - 8 q^{2} - 16 q^{3} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 24 q^{8} - 16 q^{9}+O(q^{10}) $ 152 * q - 8 * q^2 - 16 * q^3 - 8 * q^5 - 8 * q^6 - 8 * q^7 - 24 * q^8 - 16 * q^9	$ 152 q - 8 q^{2} - 16 q^{3} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 24 q^{8} - 16 q^{9} - 8 q^{11} - 24 q^{15} - 16 q^{17} + 16 q^{18} - 8 q^{19} - 80 q^{20} - 32 q^{22} - 40 q^{24} - 8 q^{26} - 16 q^{27} - 24 q^{28} + 24 q^{29} - 40 q^{31} + 120 q^{32} + 48 q^{33} - 40 q^{34} - 32 q^{35} - 8 q^{37} + 80 q^{38} - 8 q^{39} - 16 q^{40} + 32 q^{42} + 64 q^{43} + 24 q^{44} - 16 q^{45} + 24 q^{46} - 96 q^{47} + 32 q^{48} - 16 q^{49} - 16 q^{52} - 40 q^{53} + 16 q^{54} - 48 q^{55} + 32 q^{57} + 88 q^{58} + 56 q^{59} + 16 q^{60} + 32 q^{61} - 96 q^{62} + 64 q^{63} + 48 q^{64} + 32 q^{65} - 224 q^{66} - 64 q^{67} - 16 q^{68} - 88 q^{70} - 72 q^{71} + 72 q^{73} + 104 q^{74} + 112 q^{75} - 120 q^{76} + 56 q^{78} - 80 q^{79} - 16 q^{81} - 8 q^{83} + 160 q^{84} + 24 q^{85} - 16 q^{86} + 80 q^{87} - 8 q^{90} - 128 q^{91} - 16 q^{92} - 16 q^{94} - 64 q^{95} + 64 q^{96} - 56 q^{97} - 88 q^{98} - 64 q^{99}+O(q^{100}) $ 152 * q - 8 * q^2 - 16 * q^3 - 8 * q^5 - 8 * q^6 - 8 * q^7 - 24 * q^8 - 16 * q^9 - 8 * q^11 - 24 * q^15 - 16 * q^17 + 16 * q^18 - 8 * q^19 - 80 * q^20 - 32 * q^22 - 40 * q^24 - 8 * q^26 - 16 * q^27 - 24 * q^28 + 24 * q^29 - 40 * q^31 + 120 * q^32 + 48 * q^33 - 40 * q^34 - 32 * q^35 - 8 * q^37 + 80 * q^38 - 8 * q^39 - 16 * q^40 + 32 * q^42 + 64 * q^43 + 24 * q^44 - 16 * q^45 + 24 * q^46 - 96 * q^47 + 32 * q^48 - 16 * q^49 - 16 * q^52 - 40 * q^53 + 16 * q^54 - 48 * q^55 + 32 * q^57 + 88 * q^58 + 56 * q^59 + 16 * q^60 + 32 * q^61 - 96 * q^62 + 64 * q^63 + 48 * q^64 + 32 * q^65 - 224 * q^66 - 64 * q^67 - 16 * q^68 - 88 * q^70 - 72 * q^71 + 72 * q^73 + 104 * q^74 + 112 * q^75 - 120 * q^76 + 56 * q^78 - 80 * q^79 - 16 * q^81 - 8 * q^83 + 160 * q^84 + 24 * q^85 - 16 * q^86 + 80 * q^87 - 8 * q^90 - 128 * q^91 - 16 * q^92 - 16 * q^94 - 64 * q^95 + 64 * q^96 - 56 * q^97 - 88 * q^98 - 64 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/221\mathbb{Z}\right)^\times$.

$n$	$105$	$171$
$\chi(n)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.841331	+	2.03115i	−0.594911	+	1.43624i	0.283799	+	0.958884i	$0.408405\pi$
$2$	−0.841331	+	2.03115i	−0.594911	+	1.43624i	−0.878709	+	0.477357i	$0.841595\pi$
$3$	0.600920	−	0.401522i	0.346941	−	0.231819i	−0.369874	−	0.929082i	$-0.620599\pi$
$3$	0.600920	−	0.401522i	0.346941	−	0.231819i	0.716815	+	0.697263i	$0.245599\pi$
$4$	−2.00353	−	2.00353i	−1.00176	−	1.00176i
$5$	0.250002	+	0.374154i	0.111804	+	0.167327i	0.883152	−	0.469087i	$-0.155417\pi$
$5$	0.250002	+	0.374154i	0.111804	+	0.167327i	−0.771348	+	0.636414i	$0.780417\pi$
$6$	0.309980	+	1.55837i	0.126549	+	0.636203i
$7$	−0.555096	+	0.830760i	−0.209807	+	0.313998i	−0.921416	−	0.388577i	$-0.872967\pi$
$7$	−0.555096	+	0.830760i	−0.209807	+	0.313998i	0.711609	+	0.702575i	$0.247967\pi$
$8$	1.69279	−	0.701176i	0.598491	−	0.247903i
$9$	−0.948165	+	2.28907i	−0.316055	+	0.763024i
$10$	−0.970297	+	0.193004i	−0.306835	+	0.0610332i
$11$	0.639498	+	3.21497i	0.192816	+	0.969351i	0.949068	+	0.315071i	$0.102028\pi$
$11$	0.639498	+	3.21497i	0.192816	+	0.969351i	−0.756252	+	0.654280i	$0.772972\pi$
$12$	−2.00842	−	0.399499i	−0.579781	−	0.115326i
$13$	−2.93552	+	2.09350i	−0.814167	+	0.580631i
$13$	−2.93552	+	2.09350i	−0.814167	+	0.580631i
$14$	−1.22038	−	1.82643i	−0.326160	−	0.488134i
$15$	0.300462	+	0.124455i	0.0775789	+	0.0321343i
$16$		−	1.63859i		−	0.409649i
$17$	3.55089	+	2.09551i	0.861218	+	0.508236i
$17$	3.55089	+	2.09551i	0.861218	+	0.508236i
$18$	−3.85173	−	3.85173i	−0.907862	−	0.907862i
$19$	−1.81784	+	4.38866i	−0.417041	+	1.00683i	0.566159	+	0.824296i	$0.308429\pi$
$19$	−1.81784	+	4.38866i	−0.417041	+	1.00683i	−0.983200	+	0.182531i	$0.941571\pi$
$20$	0.248742	−	1.25051i	0.0556204	−	0.279623i
$21$			0.722104i			0.157576i
$22$	−7.06812	−	1.40594i	−1.50693	−	0.299747i
$23$	2.65190	−	3.96885i	0.552959	−	0.827562i	−0.444719	−	0.895670i	$-0.646696\pi$
$23$	2.65190	−	3.96885i	0.552959	−	0.827562i	0.997678	+	0.0681082i	$0.0216963\pi$
$24$	0.735694	−	1.10104i	0.150173	−	0.224750i
$25$	1.83593	−	4.43232i	0.367185	−	0.886464i
$26$	−1.78247	−	7.72381i	−0.349570	−	1.51476i
$27$	0.772329	+	3.88276i	0.148635	+	0.747238i
$28$	2.77660	−	0.552300i	0.524728	−	0.104375i
$29$	0.910635	−	4.57807i	0.169101	−	0.850127i	−0.799339	−	0.600880i	$-0.794817\pi$
$29$	0.910635	−	4.57807i	0.169101	−	0.850127i	0.968440	−	0.249247i	$-0.0801831\pi$
$30$	−0.505576	+	0.505576i	−0.0923051	+	0.0923051i
$31$	0.972979	−	4.89149i	0.174752	−	0.878538i	−0.789540	−	0.613699i	$-0.789681\pi$
$31$	0.972979	−	4.89149i	0.174752	−	0.878538i	0.964292	−	0.264840i	$-0.0853190\pi$
$32$	6.71381	+	2.78095i	1.18685	+	0.491608i
$33$	1.67517	+	1.67517i	0.291610	+	0.291610i
$34$	−7.24377	+	5.44939i	−1.24230	+	0.934562i
$35$	−0.449607			−0.0759974
$36$	6.48589	−	2.68654i	1.08098	−	0.447757i
$37$	−0.0473425	+	0.238007i	−0.00778306	+	0.0391281i	−0.984482	−	0.175487i	$-0.943850\pi$
$37$	−0.0473425	+	0.238007i	−0.00778306	+	0.0391281i	0.976699	+	0.214616i	$0.0688498\pi$
$38$	−7.38462	−	7.38462i	−1.19794	−	1.19794i
$39$	−0.923428	+	2.43670i	−0.147867	+	0.390184i
$40$	0.685548	+	0.458068i	0.108395	+	0.0724270i
$41$	6.27078	+	4.19000i	0.979331	+	0.654368i	0.938674	−	0.344805i	$-0.112055\pi$
$41$	6.27078	+	4.19000i	0.979331	+	0.654368i	0.0406564	+	0.999173i	$0.487055\pi$
$42$	−1.46670	−	0.607528i	−0.226317	−	0.0937436i
$43$	−7.38373	−	3.05844i	−1.12601	−	0.466408i	−0.259586	−	0.965720i	$-0.583586\pi$
$43$	−7.38373	−	3.05844i	−1.12601	−	0.466408i	−0.866422	+	0.499312i	$0.833586\pi$
$44$	5.16003	−	7.72253i	0.777904	−	1.16422i
$45$	−1.09351	+	0.217512i	−0.163011	+	0.0324248i
$46$	5.83021	+	8.72552i	0.859617	+	1.28651i
$47$	−0.215085			−0.0313734			−0.0156867	−	0.999877i	$-0.504993\pi$
$47$	−0.215085			−0.0313734			−0.0156867	+	0.999877i	$0.504993\pi$
$48$	−0.657932	−	0.984665i	−0.0949643	−	0.142124i
$49$	2.29675	+	5.54485i	0.328108	+	0.792122i
$50$	7.45809	+	7.45809i	1.05473	+	1.05473i
$51$	2.97520	−	0.166528i	0.416611	−	0.0233186i
$52$	10.0758	+	1.68701i	1.39726	+	0.233947i
$53$	1.26863	+	3.06274i	0.174259	+	0.420699i	0.986744	−	0.162283i	$-0.0518857\pi$
$53$	1.26863	+	3.06274i	0.174259	+	0.420699i	−0.812485	+	0.582982i	$0.801886\pi$
$54$	−8.53626	−	1.69797i	−1.16164	−	0.231064i
$55$	−1.04302	+	1.04302i	−0.140641	+	0.140641i
$56$	−0.357152	+	1.79552i	−0.0477264	+	0.239937i
$57$	0.669765	+	3.36714i	0.0887125	+	0.445988i
$58$	8.53262	+	5.70131i	1.12039	+	0.748619i
$59$	10.3366	−	4.28158i	1.34572	−	0.557414i	0.410620	−	0.911807i	$-0.365312\pi$
$59$	10.3366	−	4.28158i	1.34572	−	0.557414i	0.935097	+	0.354392i	$0.115312\pi$
$60$	−0.352634	−	0.851333i	−0.0455248	−	0.109907i
$61$	0.651639	+	3.27601i	0.0834338	+	0.419450i	0.999817	+	0.0191472i	$0.00609512\pi$
$61$	0.651639	+	3.27601i	0.0834338	+	0.419450i	−0.916383	+	0.400303i	$0.868905\pi$
$62$	9.11677	+	6.09163i	1.15783	+	0.773638i
$63$	−1.37535	−	2.05835i	−0.173278	−	0.259328i
$64$	−8.97975	+	8.97975i	−1.12247	+	1.12247i
$65$	−1.51717	−	0.574958i	−0.188182	−	0.0713148i
$66$	−4.81189	+	1.99315i	−0.592303	+	0.245340i
$67$	0.454653	−	0.454653i	0.0555448	−	0.0555448i	−0.678789	−	0.734334i	$-0.737495\pi$
$67$	0.454653	−	0.454653i	0.0555448	−	0.0555448i	0.734334	+	0.678789i	$0.237495\pi$
$68$	−2.91590	−	11.3127i	−0.353605	−	1.37187i
$69$		−	3.44976i		−	0.415302i
$70$	0.378268	−	0.913220i	0.0452117	−	0.109151i
$71$	4.13678	+	0.822856i	0.490945	+	0.0976551i	0.434354	−	0.900742i	$-0.356977\pi$
$71$	4.13678	+	0.822856i	0.490945	+	0.0976551i	0.0565914	+	0.998397i	$0.481977\pi$
$72$			4.53975i			0.535015i
$73$	3.60140	−	2.40638i	0.421512	−	0.281645i	−0.326670	−	0.945138i	$-0.605927\pi$
$73$	3.60140	−	2.40638i	0.421512	−	0.281645i	0.748183	+	0.663493i	$0.230927\pi$
$74$	−0.443597	−	0.296402i	−0.0515671	−	0.0344560i
$75$	−0.676429	−	3.40064i	−0.0781072	−	0.392672i
$76$	12.4349	−	5.15069i	1.42638	−	0.590825i
$77$	−3.02585	−	1.25335i	−0.344828	−	0.142832i
$78$	−4.17240	−	3.92569i	−0.472431	−	0.444497i
$79$	1.73519	−	2.59689i	0.195224	−	0.292173i	−0.720924	−	0.693014i	$-0.756282\pi$
$79$	1.73519	−	2.59689i	0.195224	−	0.292173i	0.916147	+	0.400842i	$0.131282\pi$
$80$	0.613086	−	0.409651i	0.0685451	−	0.0458004i
$81$	−3.23282	−	3.23282i	−0.359202	−	0.359202i
$82$	−13.7863	+	9.21172i	−1.52244	+	1.01726i
$83$	−3.65632	−	1.51450i	−0.401333	−	0.166238i	0.172881	−	0.984943i	$-0.444692\pi$
$83$	−3.65632	−	1.51450i	−0.401333	−	0.166238i	−0.574214	+	0.818705i	$0.694692\pi$
$84$	1.44675	−	1.44675i	0.157854	−	0.157854i
$85$	0.103686	+	1.85246i	0.0112463	+	0.200928i
$86$	12.4243	−	12.4243i	1.33975	−	1.33975i
$87$	−1.29098	−	3.11670i	−0.138407	−	0.334145i
$88$	3.33680	+	4.99387i	0.355704	+	0.532348i
$89$		−	8.30248i		−	0.880061i	−0.897983	−	0.440031i	$-0.854968\pi$
$89$		−	8.30248i		−	0.880061i	0.897983	−	0.440031i	$-0.145032\pi$
$90$	0.478201	−	2.40408i	0.0504068	−	0.253412i
$91$	−0.109698	−	3.60080i	−0.0114994	−	0.377467i
$92$	−13.2648	+	2.63854i	−1.38296	+	0.275087i
$93$	−1.37936	−	3.33007i	−0.143033	−	0.345312i
$94$	0.180958	−	0.436871i	0.0186644	−	0.0450598i
$95$	−2.09650	+	0.417019i	−0.215096	+	0.0427852i
$96$	5.15108	−	1.02461i	0.525730	−	0.104574i
$97$	−14.0628	+	9.39646i	−1.42786	+	0.954066i	−0.429153	+	0.903232i	$0.641188\pi$
$97$	−14.0628	+	9.39646i	−1.42786	+	0.954066i	−0.998707	+	0.0508337i	$0.983812\pi$
$98$	−13.1948			−1.33287
$99$	−7.96566	−	1.58447i	−0.800578	−	0.159245i
$100$	−12.5586	+	5.20194i	−1.25586	+	0.520194i
$101$	12.7732			1.27098			0.635490	−	0.772109i	$-0.280798\pi$
$101$	12.7732			1.27098			0.635490	+	0.772109i	$0.280798\pi$
$102$	−2.16488	+	6.18318i	−0.214355	+	0.612226i
$103$		−	12.8852i		−	1.26961i	−0.772671	−	0.634807i	$-0.781080\pi$
$103$		−	12.8852i		−	1.26961i	0.772671	−	0.634807i	$-0.218920\pi$
$104$	−3.50131	+	5.60216i	−0.343331	+	0.549337i
$105$	−0.270178	+	0.180527i	−0.0263667	+	0.0176176i
$106$	−7.28822			−0.707894
$107$	−15.7369	−	3.13027i	−1.52135	−	0.302614i	−0.637521	−	0.770433i	$-0.720040\pi$
$107$	−15.7369	−	3.13027i	−1.52135	−	0.302614i	−0.883824	+	0.467819i	$0.845040\pi$
$108$	6.23183	−	9.32659i	0.599658	−	0.897452i
$109$	14.3527	+	9.59018i	1.37474	+	0.918572i	0.999964	−	0.00854275i	$-0.00271928\pi$
$109$	14.3527	+	9.59018i	1.37474	+	0.918572i	0.374777	+	0.927115i	$0.377719\pi$
$110$	−1.24101	−	2.99605i	−0.118325	−	0.285662i
$111$	0.0671159	+	0.162032i	0.00637036	+	0.0153794i
$112$	1.36128	+	0.909578i	0.128629	+	0.0859470i
$113$	−2.43822	+	3.64905i	−0.229368	+	0.343273i	−0.928246	−	0.371968i	$-0.878683\pi$
$113$	−2.43822	+	3.64905i	−0.229368	+	0.343273i	0.698878	+	0.715241i	$0.253683\pi$
$114$	−7.40266	−	1.47248i	−0.693322	−	0.137910i
$115$	2.14794			0.200296
$116$	−10.9968	+	7.34781i	−1.02102	+	0.682227i
$117$	−2.00881	−	8.70460i	−0.185714	−	0.804740i
$118$			24.5975i			2.26439i
$119$	−3.71195	+	1.78673i	−0.340274	+	0.163789i
$120$	0.595884			0.0543965
$121$	0.235588	−	0.0975836i	0.0214171	−	0.00887123i
$122$	−7.20232	−	1.43263i	−0.652067	−	0.129704i
$123$	5.45061			0.491465
$124$	−11.7496	+	7.85085i	−1.05515	+	0.705027i
$125$	4.32408	−	0.860112i	0.386757	−	0.0769308i
$126$	5.33795	−	1.06178i	0.475542	−	0.0945913i
$127$	0.352611	−	0.851278i	0.0312892	−	0.0755387i	−0.907463	−	0.420133i	$-0.861983\pi$
$127$	0.352611	−	0.851278i	0.0312892	−	0.0755387i	0.938752	+	0.344594i	$0.111983\pi$
$128$	−5.12239	−	12.3665i	−0.452759	−	1.09306i
$129$	−5.66506	+	1.12685i	−0.498781	+	0.0992137i
$130$	2.44427	−	2.59788i	0.214377	−	0.227849i
$131$	−0.379560	+	1.90818i	−0.0331623	+	0.166718i	−0.993818	−	0.111025i	$-0.964587\pi$
$131$	−0.379560	+	1.90818i	−0.0331623	+	0.166718i	0.960655	+	0.277743i	$0.0895865\pi$
$132$		−	6.71249i		−	0.584247i
$133$	−2.63684	−	3.94632i	−0.228643	−	0.342189i
$134$	0.540956	+	1.30598i	0.0467315	+	0.112820i
$135$	−1.25967	+	1.25967i	−0.108415	+	0.108415i
$136$	7.48023	+	1.05745i	0.641425	+	0.0906759i
$137$	−9.30337	+	9.30337i	−0.794841	+	0.794841i	−0.982277	−	0.187436i	$-0.939982\pi$
$137$	−9.30337	+	9.30337i	−0.794841	+	0.794841i	0.187436	+	0.982277i	$0.439982\pi$
$138$	7.00698	+	2.90239i	0.596474	+	0.247068i
$139$	1.78993	−	1.19599i	0.151820	−	0.101443i	−0.477340	−	0.878719i	$-0.658399\pi$
$139$	1.78993	−	1.19599i	0.151820	−	0.101443i	0.629160	+	0.777276i	$0.283399\pi$
$140$	0.900799	+	0.900799i	0.0761314	+	0.0761314i
$141$	−0.129249	+	0.0863614i	−0.0108847	+	0.00727295i
$142$	−5.15174	+	7.71013i	−0.432325	+	0.647020i
$143$	−8.60779	−	8.09883i	−0.719820	−	0.677258i
$144$	3.75086	+	1.55366i	0.312572	+	0.129472i
$145$	1.94056	−	0.803808i	0.161155	−	0.0667526i
$146$	1.85775	+	9.33955i	0.153749	+	0.772947i
$147$	3.60655	+	2.40982i	0.297463	+	0.198758i
$148$	0.571705	−	0.382001i	0.0469938	−	0.0314003i
$149$			7.09519i			0.581260i	0.956835	+	0.290630i	$0.0938649\pi$
$149$			7.09519i			0.581260i	−0.956835	+	0.290630i	$0.906135\pi$
$150$	7.47631	+	1.48713i	0.610438	+	0.121424i
$151$	4.24280	−	10.2430i	0.345274	−	0.833565i	−0.651891	−	0.758313i	$-0.726024\pi$
$151$	4.24280	−	10.2430i	0.345274	−	0.833565i	0.997165	−	0.0752521i	$-0.0239761\pi$
$152$			8.70370i			0.705963i
$153$	−8.16361	+	6.14137i	−0.659988	+	0.496500i
$154$	5.09149	−	5.09149i	0.410284	−	0.410284i
$155$	2.07342	−	0.858838i	0.166541	−	0.0689835i
$156$	6.73210	−	3.03188i	0.539000	−	0.242745i
$157$	14.7151	−	14.7151i	1.17439	−	1.17439i	0.193241	−	0.981151i	$-0.438100\pi$
$157$	14.7151	−	14.7151i	1.17439	−	1.17439i	0.981151	−	0.193241i	$-0.0619000\pi$
$158$	3.81481	+	5.70927i	0.303490	+	0.454205i
$159$	1.99210	+	1.33108i	0.157984	+	0.105561i
$160$	0.637960	+	3.20724i	0.0504352	+	0.253555i
$161$	1.82510	+	4.40619i	0.143838	+	0.347256i
$162$	9.28622	−	3.84648i	0.729594	−	0.302208i
$163$	6.14527	+	4.10614i	0.481335	+	0.321618i	0.772456	−	0.635069i	$-0.219028\pi$
$163$	6.14527	+	4.10614i	0.481335	+	0.321618i	−0.291121	+	0.956686i	$0.594028\pi$
$164$	−4.16889	−	20.9584i	−0.325536	−	1.63658i
$165$	−0.207976	+	1.04557i	−0.0161909	+	0.0813972i
$166$	6.15235	−	6.15235i	0.477515	−	0.477515i
$167$	−5.61853	−	1.11760i	−0.434775	−	0.0864821i	−0.0271496	−	0.999631i	$-0.508643\pi$
$167$	−5.61853	−	1.11760i	−0.434775	−	0.0864821i	−0.407625	+	0.913149i	$0.633643\pi$
$168$	0.506322	+	1.22237i	0.0390636	+	0.0943079i
$169$	4.23455	−	12.2910i	0.325734	−	0.945461i
$170$	−3.84986	−	1.34793i	−0.295271	−	0.103381i
$171$	−8.32234	−	8.32234i	−0.636425	−	0.636425i
$172$	8.66583	+	20.9212i	0.660763	+	1.59522i
$173$	10.2636	+	15.3606i	0.780327	+	1.16784i	0.982091	+	0.188408i	$0.0603326\pi$
$173$	10.2636	+	15.3606i	0.780327	+	1.16784i	−0.201764	+	0.979434i	$0.564667\pi$
$174$	7.41662			0.562253
$175$	2.66308	+	3.98558i	0.201310	+	0.301281i
$176$	5.26804	−	1.04788i	0.397093	−	0.0789867i
$177$	4.49235	−	6.72328i	0.337666	−	0.505353i
$178$	16.8636	+	6.98513i	1.26398	+	0.523558i
$179$	16.4055	+	6.79536i	1.22620	+	0.507909i	0.899376	−	0.437175i	$-0.144021\pi$
$179$	16.4055	+	6.79536i	1.22620	+	0.507909i	0.326825	+	0.945085i	$0.394021\pi$
$180$	2.62666	+	1.75508i	0.195780	+	0.130816i
$181$	−0.134680	−	0.0899905i	−0.0100107	−	0.00668894i	0.550555	−	0.834799i	$-0.314416\pi$
$181$	−0.134680	−	0.0899905i	−0.0100107	−	0.00668894i	−0.560566	+	0.828110i	$0.689416\pi$
$182$	7.40607	+	2.80665i	0.548975	+	0.208043i
$183$	1.70697	+	1.70697i	0.126183	+	0.126183i
$184$	1.70624	−	8.57787i	0.125786	−	0.632369i
$185$	−0.100887	+	0.0417887i	−0.00741735	+	0.00307236i
$186$	7.92438			0.581043
$187$	−4.46622	+	12.7561i	−0.326602	+	0.932818i
$188$	0.430929	+	0.430929i	0.0314287	+	0.0314287i
$189$	−3.65436	−	1.51369i	−0.265816	−	0.110104i
$190$	0.916817	−	4.60915i	0.0665129	−	0.334383i
$191$	−7.34867	+	7.34867i	−0.531731	+	0.531731i	−0.921087	−	0.389356i	$-0.872698\pi$
$191$	−7.34867	+	7.34867i	−0.531731	+	0.531731i	0.389356	+	0.921087i	$0.372698\pi$
$192$	−1.79055	+	9.00168i	−0.129221	+	0.649640i
$193$	−26.4351	+	5.25826i	−1.90284	+	0.378498i	−0.998801	−	0.0489586i	$-0.984410\pi$
$193$	−26.4351	+	5.25826i	−1.90284	+	0.378498i	−0.904036	+	0.427456i	$0.859410\pi$
$194$	−7.25417	−	36.4692i	−0.520819	−	2.61833i
$195$	−1.14256	+	0.263675i	−0.0818203	+	0.0188821i
$196$	6.50765	−	15.7109i	0.464832	−	1.12220i
$197$	−11.7623	+	17.6035i	−0.838028	+	1.25420i	0.126961	+	0.991908i	$0.459478\pi$
$197$	−11.7623	+	17.6035i	−0.838028	+	1.25420i	−0.964989	+	0.262290i	$0.915522\pi$
$198$	9.92004	−	14.8464i	0.704987	−	1.05509i
$199$	−10.9340	−	2.17491i	−0.775092	−	0.154175i	−0.208332	−	0.978058i	$-0.566803\pi$
$199$	−10.9340	−	2.17491i	−0.775092	−	0.154175i	−0.566760	+	0.823883i	$0.691803\pi$
$200$		−	8.79029i		−	0.621567i
$201$	0.0906571	−	0.455764i	0.00639446	−	0.0321471i
$202$	−10.7465	+	25.9443i	−0.756120	+	1.82543i
$203$	3.29779	+	3.29779i	0.231460	+	0.231460i
$204$	−6.29453	−	5.62724i	−0.440705	−	0.393986i
$205$			3.39374i			0.237029i
$206$	26.1717	+	10.8407i	1.82347	+	0.755307i
$207$	6.57055	+	9.83352i	0.456684	+	0.683477i
$208$	3.43039	+	4.81013i	0.237855	+	0.333522i
$209$	−15.2719	−	3.03777i	−1.05638	−	0.210127i
$210$	−0.139369	−	0.700655i	−0.00961737	−	0.0483498i
$211$	−15.7028	+	3.12349i	−1.08103	+	0.215030i	−0.703304	−	0.710889i	$-0.748293\pi$
$211$	−15.7028	+	3.12349i	−1.08103	+	0.215030i	−0.377723	+	0.925919i	$0.623293\pi$
$212$	3.59455	−	8.67800i	0.246874	−	0.596008i
$213$	2.81627	−	1.16654i	0.192968	−	0.0799298i
$214$	19.5980	−	29.3305i	1.33969	−	2.00499i
$215$	−0.701617	−	3.52726i	−0.0478499	−	0.240557i
$216$	4.02989	+	6.03116i	0.274199	+	0.410368i
$217$	3.52356	+	3.52356i	0.239195	+	0.239195i
$218$	−31.5545	+	21.0840i	−2.13714	+	1.42799i
$219$	1.19794	−	2.89208i	0.0809493	−	0.195429i
$220$	4.17943			0.281777
$221$	−14.8107	+	1.28237i	−0.996273	+	0.0862618i
$222$	−0.385578			−0.0258783
$223$	8.10056	−	19.5565i	0.542453	−	1.30960i	−0.380534	−	0.924767i	$-0.624260\pi$
$223$	8.10056	−	19.5565i	0.542453	−	1.30960i	0.922987	−	0.384831i	$-0.125740\pi$
$224$	−6.03712	+	4.03387i	−0.403372	+	0.269524i
$225$	8.40514	+	8.40514i	0.560343	+	0.560343i
$226$	−5.36042	−	8.02244i	−0.356570	−	0.533645i
$227$	−5.48750	−	27.5875i	−0.364218	−	1.83105i	−0.533900	−	0.845548i	$-0.679274\pi$
$227$	−5.48750	−	27.5875i	−0.364218	−	1.83105i	0.169682	−	0.985499i	$-0.445726\pi$
$228$	5.40425	−	8.08803i	0.357905	−	0.535643i
$229$	−13.0508	+	5.40581i	−0.862420	+	0.357226i	−0.769654	−	0.638462i	$-0.779571\pi$
$229$	−13.0508	+	5.40581i	−0.862420	+	0.357226i	−0.0927666	+	0.995688i	$0.529571\pi$
$230$	−1.80713	+	4.36279i	−0.119158	+	0.287674i
$231$	−2.32154	+	0.461784i	−0.152746	+	0.0303831i
$232$	−1.66852	−	8.38823i	−0.109544	−	0.550714i
$233$	29.2995	+	5.82804i	1.91948	+	0.381808i	0.999937	−	0.0111891i	$-0.00356168\pi$
$233$	29.2995	+	5.82804i	1.91948	+	0.381808i	0.919540	+	0.392997i	$0.128562\pi$
$234$	19.3704	+	3.24325i	1.26628	+	0.212018i
$235$	−0.0537716	−	0.0804749i	−0.00350767	−	0.00524961i
$236$	−29.2880	−	12.1315i	−1.90649	−	0.789692i
$237$		−	2.25724i		−	0.146623i
$238$	−0.506143	−	9.04277i	−0.0328084	−	0.586156i
$239$	9.93282	+	9.93282i	0.642501	+	0.642501i	0.951170	−	0.308669i	$-0.0998835\pi$
$239$	9.93282	+	9.93282i	0.642501	+	0.642501i	−0.308669	+	0.951170i	$0.599883\pi$
$240$	0.203932	−	0.492335i	0.0131638	−	0.0317801i
$241$	1.48535	−	7.46736i	0.0956798	−	0.481015i	−0.903000	−	0.429641i	$-0.858640\pi$
$241$	1.48535	−	7.46736i	0.0956798	−	0.481015i	0.998679	−	0.0513737i	$-0.0163600\pi$
$242$			0.560614i			0.0360376i
$243$	−14.8890	−	2.96161i	−0.955130	−	0.189987i
$244$	5.25800	−	7.86915i	0.336609	−	0.503771i
$245$	−1.50044	+	2.24556i	−0.0958593	+	0.143464i
$246$	−4.58577	+	11.0710i	−0.292378	+	0.705862i
$247$	−3.85133	−	16.6886i	−0.245054	−	1.06187i
$248$	−1.78275	−	8.96250i	−0.113205	−	0.569119i
$249$	−2.80526	+	0.558001i	−0.177776	+	0.0353619i
$250$	−1.89096	+	9.50649i	−0.119595	+	0.601243i
$251$	0.387464	−	0.387464i	0.0244565	−	0.0244565i	−0.694773	−	0.719229i	$-0.744495\pi$
$251$	0.387464	−	0.387464i	0.0244565	−	0.0244565i	0.719229	+	0.694773i	$0.244495\pi$
$252$	−1.36842	+	6.87951i	−0.0862023	+	0.433368i
$253$	14.4556	+	5.98771i	0.908817	+	0.376444i
$254$	1.43241	+	1.43241i	0.0898776	+	0.0898776i
$255$	0.806111	+	1.07155i	0.0504806	+	0.0671030i
$256$	4.02937			0.251836
$257$	−5.97068	+	2.47314i	−0.372441	+	0.154270i	−0.561049	−	0.827782i	$-0.689602\pi$
$257$	−5.97068	+	2.47314i	−0.372441	+	0.154270i	0.188609	+	0.982052i	$0.439602\pi$
$258$	2.47739	−	12.4547i	0.154235	−	0.775393i
$259$	−0.171447	−	0.171447i	−0.0106532	−	0.0106532i
$260$	1.88775	+	4.19164i	0.117073	+	0.259955i
$261$	9.61611	+	6.42528i	0.595222	+	0.397715i
$262$	−3.55646	−	2.37635i	−0.219719	−	0.146811i
$263$	3.29098	+	1.36317i	0.202930	+	0.0840565i	0.481834	−	0.876263i	$-0.339971\pi$
$263$	3.29098	+	1.36317i	0.202930	+	0.0840565i	−0.278903	+	0.960319i	$0.589971\pi$
$264$	4.01030	+	1.66112i	0.246817	+	0.102235i
$265$	−0.828776	+	1.24035i	−0.0509113	+	0.0761941i
$266$	10.2340	−	2.03567i	0.627488	−	0.124815i
$267$	−3.33363	−	4.98913i	−0.204015	−	0.305330i
$268$	−1.82182			−0.111285
$269$	−1.77262	−	2.65292i	−0.108079	−	0.161751i	0.773488	−	0.633811i	$-0.218511\pi$
$269$	−1.77262	−	2.65292i	−0.108079	−	0.161751i	−0.881566	+	0.472060i	$0.843511\pi$
$270$	−1.49878	−	3.61837i	−0.0912127	−	0.220207i
$271$	−19.2230	−	19.2230i	−1.16771	−	1.16771i	−0.982745	−	0.184967i	$-0.940782\pi$
$271$	−19.2230	−	19.2230i	−1.16771	−	1.16771i	−0.184967	−	0.982745i	$-0.559218\pi$
$272$	3.43369	−	5.81847i	0.208198	−	0.352797i
$273$	−1.51172	−	2.11975i	−0.0914936	−	0.128293i
$274$	−11.0693	−	26.7238i	−0.668724	−	1.61444i
$275$	15.4239	+	3.06800i	0.930093	+	0.185007i
$276$	−6.91168	+	6.91168i	−0.416034	+	0.416034i
$277$	−1.08693	+	5.46439i	−0.0653076	+	0.328323i	−0.999603	−	0.0281764i	$-0.991030\pi$
$277$	−1.08693	+	5.46439i	−0.0653076	+	0.328323i	0.934295	+	0.356500i	$0.116030\pi$
$278$	0.923320	+	4.64184i	0.0553771	+	0.278399i
$279$	10.2744	+	6.86516i	0.615115	+	0.411007i
$280$	−0.761090	+	0.315254i	−0.0454838	+	0.0188400i
$281$	4.86931	+	11.7555i	0.290478	+	0.701277i	0.999994	−	0.00341259i	$-0.00108626\pi$
$281$	4.86931	+	11.7555i	0.290478	+	0.701277i	−0.709516	+	0.704690i	$0.751086\pi$
$282$	−0.0666720	−	0.335183i	−0.00397026	−	0.0199599i
$283$	−13.1360	−	8.77719i	−0.780853	−	0.521750i	0.100086	−	0.994979i	$-0.468088\pi$
$283$	−13.1360	−	8.77719i	−0.780853	−	0.521750i	−0.880939	+	0.473229i	$0.843088\pi$
$284$	−6.63953	−	9.93676i	−0.393983	−	0.589638i
$285$	−1.09238	+	1.09238i	−0.0647072	+	0.0647072i
$286$	23.6919	−	10.6699i	1.40093	−	0.630927i
$287$	−6.96177	+	2.88366i	−0.410940	+	0.170217i
$288$	−12.7316	+	12.7316i	−0.750217	+	0.750217i
$289$	8.21768	+	14.8819i	0.483393	+	0.875403i
$290$			4.61785i			0.271169i
$291$	−4.67773	+	11.2930i	−0.274213	+	0.662010i
$292$	−12.0367	−	2.39426i	−0.704397	−	0.140113i
$293$		−	9.74506i		−	0.569312i	−0.958630	−	0.284656i	$-0.908121\pi$
$293$		−	9.74506i		−	0.569312i	0.958630	−	0.284656i	$-0.0918794\pi$
$294$	−7.92900	+	5.29799i	−0.462429	+	0.308985i
$295$	4.18615	+	2.79709i	0.243727	+	0.162853i
$296$	0.0867438	+	0.436091i	0.00504188	+	0.0253473i
$297$	−11.9891	+	4.96603i	−0.695676	+	0.288158i
$298$	−14.4114	−	5.96940i	−0.834830	−	0.345798i
$299$	0.524067	+	17.2024i	0.0303076	+	0.994839i
$300$	−5.45802	+	8.16850i	−0.315119	+	0.471609i
$301$	6.63951	−	4.43638i	0.382695	−	0.255709i
$302$	17.2355	+	17.2355i	0.991793	+	0.991793i
$303$	7.67567	−	5.12872i	0.440956	−	0.294637i
$304$	7.19123	+	2.97870i	0.412445	+	0.170840i
$305$	−1.06282	+	1.06282i	−0.0608569	+	0.0608569i
$306$	−5.60575	−	21.7484i	−0.320459	−	1.24328i
$307$	−9.22708	+	9.22708i	−0.526617	+	0.526617i	−0.919562	−	0.392945i	$-0.871456\pi$
$307$	−9.22708	+	9.22708i	−0.526617	+	0.526617i	0.392945	+	0.919562i	$0.371456\pi$
$308$	3.55126	+	8.57349i	0.202352	+	0.488520i
$309$	−5.17368	−	7.74296i	−0.294320	−	0.440482i
$310$			4.93399i			0.280232i
$311$	5.73956	−	28.8547i	0.325461	−	1.63620i	−0.378242	−	0.925707i	$-0.623471\pi$
$311$	5.73956	−	28.8547i	0.325461	−	1.63620i	0.703703	−	0.710495i	$-0.251529\pi$
$312$	0.145387	+	4.77231i	0.00823093	+	0.270179i
$313$	23.7999	−	4.73409i	1.34525	−	0.267587i	0.530640	−	0.847597i	$-0.321952\pi$
$313$	23.7999	−	4.73409i	1.34525	−	0.267587i	0.814609	+	0.580011i	$0.196952\pi$
$314$	17.5083	+	42.2688i	0.988052	+	2.38537i
$315$	0.426302	−	1.02918i	0.0240194	−	0.0579879i
$316$	−8.67943	+	1.72645i	−0.488256	+	0.0971201i
$317$	−19.2225	+	3.82360i	−1.07965	+	0.214755i	−0.702704	−	0.711482i	$-0.748024\pi$
$317$	−19.2225	+	3.82360i	−1.07965	+	0.214755i	−0.376942	+	0.926237i	$0.623024\pi$
$318$	−4.37964	+	2.92638i	−0.245598	+	0.164103i
$319$	15.3007			0.856676
$320$	−5.60476	−	1.11486i	−0.313315	−	0.0623223i
$321$	−10.7135	+	4.43768i	−0.597969	+	0.247687i
$322$	−10.4851			−0.584314
$323$	−15.6514	+	11.7743i	−0.870869	+	0.655142i
$324$			12.9541i			0.719671i
$325$	3.88965	+	16.8547i	0.215759	+	0.934929i
$326$	−13.5104	+	9.02736i	−0.748272	+	0.499979i
$327$	12.4755			0.689897
$328$	13.5530	+	2.69586i	0.748341	+	0.148854i
$329$	0.119393	−	0.178684i	0.00658235	−	0.00985118i
$330$	−1.94873	−	1.30210i	−0.107274	−	0.0716781i
$331$	−5.96919	−	14.4109i	−0.328096	−	0.792095i	−0.998734	−	0.0503094i	$-0.983979\pi$
$331$	−5.96919	−	14.4109i	−0.328096	−	0.792095i	0.670637	−	0.741785i	$-0.266021\pi$
$332$	4.29120	+	10.3599i	0.235510	+	0.568571i
$333$	−0.499926	−	0.334040i	−0.0273958	−	0.0183053i
$334$	6.99705	−	10.4718i	0.382861	−	0.572993i
$335$	0.283774	+	0.0564462i	0.0155042	+	0.00308399i
$336$	1.18324			0.0645508
$337$	19.2955	−	12.8928i	1.05109	−	0.702317i	0.0950277	−	0.995475i	$-0.469706\pi$
$337$	19.2955	−	12.8928i	1.05109	−	0.702317i	0.956064	+	0.293157i	$0.0947060\pi$
$338$	21.4022	+	18.9418i	1.16413	+	1.03030i
$339$			3.17178i			0.172268i
$340$	3.50371	−	3.91919i	0.190016	−	0.212548i
$341$	16.3482			0.885307
$342$	23.9058	−	9.90210i	1.29268	−	0.535444i
$343$	−12.7410	−	2.53434i	−0.687949	−	0.136842i
$344$	−14.6436			−0.789530
$345$	1.29074	−	0.862445i	0.0694911	−	0.0464325i
$346$	−39.8347	+	7.92362i	−2.14153	+	0.425976i
$347$	4.58954	−	0.912917i	0.246380	−	0.0490080i	−0.0703555	−	0.997522i	$-0.522413\pi$
$347$	4.58954	−	0.912917i	0.246380	−	0.0490080i	0.316735	+	0.948514i	$0.397413\pi$
$348$	−3.65788	+	8.83089i	−0.196083	+	0.473385i
$349$	−3.51865	−	8.49478i	−0.188349	−	0.454715i	0.801293	−	0.598272i	$-0.204146\pi$
$349$	−3.51865	−	8.49478i	−0.188349	−	0.454715i	−0.989642	+	0.143557i	$0.954146\pi$
$350$	−10.3358	+	2.05593i	−0.552474	+	0.109894i
$351$	−10.3957	−	9.78105i	−0.554883	−	0.522074i
$352$	−4.64722	+	23.3631i	−0.247697	+	1.24526i
$353$			0.418283i			0.0222630i	0.999938	+	0.0111315i	$0.00354333\pi$
$353$			0.418283i			0.0222630i	−0.999938	+	0.0111315i	$0.996457\pi$
$354$	9.87645	+	14.7811i	0.524927	+	0.785609i
$355$	0.726326	+	1.75351i	0.0385494	+	0.0930664i
$356$	−16.6342	+	16.6342i	−0.881613	+	0.881613i
$357$	−1.51318	+	2.56411i	−0.0800857	+	0.135707i
$358$	−27.6048	+	27.6048i	−1.45896	+	1.45896i
$359$	−2.76839	−	1.14670i	−0.146110	−	0.0605207i	0.308430	−	0.951247i	$-0.400196\pi$
$359$	−2.76839	−	1.14670i	−0.146110	−	0.0605207i	−0.454540	+	0.890726i	$0.650196\pi$
$360$	−1.69856	+	1.13494i	−0.0895222	+	0.0598168i
$361$	−2.52073	−	2.52073i	−0.132670	−	0.132670i
$362$	0.296095	−	0.197844i	0.0155624	−	0.0103985i
$363$	0.102387	−	0.153234i	0.00537394	−	0.00804268i
$364$	−6.99452	+	7.43409i	−0.366613	+	0.389652i
$365$	1.80071	+	0.745879i	0.0942536	+	0.0390411i
$366$	−4.90325	+	2.03099i	−0.256297	+	0.106162i
$367$	4.93764	+	24.8232i	0.257743	+	1.29576i	0.865208	+	0.501414i	$0.167186\pi$
$367$	4.93764	+	24.8232i	0.257743	+	1.29576i	−0.607465	+	0.794346i	$0.707814\pi$
$368$	−6.50333	−	4.34539i	−0.339010	−	0.226519i
$369$	−15.5369	+	10.3815i	−0.808821	+	0.540437i
$370$		−	0.240074i		−	0.0124809i
$371$	−3.24861	−	0.646189i	−0.168659	−	0.0335484i
$372$	−3.90830	+	9.43547i	−0.202636	+	0.489206i
$373$		−	5.74980i		−	0.297713i	−0.988859	−	0.148857i	$-0.952441\pi$
$373$		−	5.74980i		−	0.297713i	0.988859	−	0.148857i	$-0.0475593\pi$
$374$	−22.1520	−	19.8037i	−1.14545	−	1.02402i
$375$	2.25307	−	2.25307i	0.116348	−	0.116348i
$376$	−0.364094	+	0.150813i	−0.0187767	+	0.00777757i
$377$	6.91099	+	15.3454i	0.355934	+	0.790330i
$378$	6.14905	−	6.14905i	0.316273	−	0.316273i
$379$	1.05563	+	1.57987i	0.0542243	+	0.0811523i	0.857591	−	0.514332i	$-0.171960\pi$
$379$	1.05563	+	1.57987i	0.0542243	+	0.0811523i	−0.803367	+	0.595484i	$0.796960\pi$
$380$	5.03589	+	3.36487i	0.258336	+	0.172614i
$381$	−0.129916	−	0.653132i	−0.00665580	−	0.0334609i
$382$	−8.74361	−	21.1089i	−0.447362	−	1.08003i
$383$	16.8090	−	6.96251i	0.858899	−	0.355768i	0.0906224	−	0.995885i	$-0.471114\pi$
$383$	16.8090	−	6.96251i	0.858899	−	0.355768i	0.768277	+	0.640118i	$0.221114\pi$
$384$	−8.04359	−	5.37455i	−0.410472	−	0.274269i
$385$	−0.287523	−	1.44547i	−0.0146535	−	0.0736682i
$386$	11.5603	−	58.1175i	0.588404	−	2.95810i
$387$	14.0020	−	14.0020i	0.711761	−	0.711761i
$388$	47.0012	+	9.34912i	2.38612	+	0.474630i
$389$	−8.22925	−	19.8672i	−0.417239	−	1.00731i	−0.983144	−	0.182834i	$-0.941473\pi$
$389$	−8.22925	−	19.8672i	−0.417239	−	1.00731i	0.565904	−	0.824471i	$-0.308527\pi$
$390$	0.425706	−	2.54255i	0.0215565	−	0.128747i
$391$	17.7334	−	8.53588i	0.896815	−	0.431678i
$392$	7.77584	+	7.77584i	0.392739	+	0.392739i
$393$	0.538090	+	1.29906i	0.0271430	+	0.0655291i
$394$	−25.8594	−	38.7014i	−1.30278	−	1.94975i
$395$	1.40544			0.0707151
$396$	12.7849	+	19.1339i	0.642464	+	0.961516i
$397$	9.02964	−	1.79611i	0.453185	−	0.0901440i	0.0367799	−	0.999323i	$-0.488290\pi$
$397$	9.02964	−	1.79611i	0.453185	−	0.0901440i	0.416405	+	0.909179i	$0.363290\pi$
$398$	13.6167	−	20.3788i	0.682543	−	1.02150i
$399$	−3.16907	−	1.31267i	−0.158652	−	0.0657157i
$400$	−7.26278	−	3.00834i	−0.363139	−	0.150417i
$401$	−20.3369	−	13.5887i	−1.01558	−	0.678588i	−0.0678597	−	0.997695i	$-0.521617\pi$
$401$	−20.3369	−	13.5887i	−1.01558	−	0.678588i	−0.947719	+	0.319107i	$0.896617\pi$
$402$	0.849453	+	0.567586i	0.0423669	+	0.0283086i
$403$	7.38413	+	16.3960i	0.367830	+	0.816743i
$404$	−25.5914	−	25.5914i	−1.27322	−	1.27322i
$405$	0.401362	−	2.01778i	0.0199438	−	0.100264i
$406$	−9.47284	+	3.92378i	−0.470129	+	0.194734i
$407$	−0.795460			−0.0394295
$408$	4.91962	−	2.36803i	0.243557	−	0.117235i
$409$	1.09282	+	1.09282i	0.0540363	+	0.0540363i	0.733609	−	0.679572i	$-0.237835\pi$
$409$	1.09282	+	1.09282i	0.0540363	+	0.0540363i	−0.679572	+	0.733609i	$0.737835\pi$
$410$	−6.89320	−	2.85526i	−0.340431	−	0.141011i
$411$	−1.85508	+	9.32609i	−0.0915041	+	0.460022i
$412$	−25.8158	+	25.8158i	−1.27185	+	1.27185i
$413$	−2.18087	+	10.9640i	−0.107313	+	0.539501i
$414$	−25.5014	+	5.07254i	−1.25332	+	0.249302i
$415$	−0.347431	−	1.74665i	−0.0170547	−	0.0857398i
$416$	−25.5304	+	5.89180i	−1.25173	+	0.288869i
$417$	0.595388	−	1.43739i	0.0291563	−	0.0703894i
$418$	19.0189	−	28.4638i	0.930245	−	1.39221i
$419$	3.74397	−	5.60325i	0.182905	−	0.273737i	−0.728675	−	0.684860i	$-0.759863\pi$
$419$	3.74397	−	5.60325i	0.182905	−	0.273737i	0.911580	+	0.411123i	$0.134863\pi$
$420$	0.902999	+	0.179618i	0.0440618	+	0.00876445i
$421$		−	22.3502i		−	1.08928i	−0.838669	−	0.544642i	$-0.816666\pi$
$421$		−	22.3502i		−	1.08928i	0.838669	−	0.544642i	$-0.183334\pi$
$422$	6.86699	−	34.5227i	0.334280	−	1.68054i
$423$	0.203936	−	0.492346i	0.00991572	−	0.0239387i
$424$	4.29504	+	4.29504i	0.208585	+	0.208585i
$425$	15.8071	−	11.8915i	0.766759	−	0.576822i
$426$			6.70171i			0.324699i
$427$	−3.08330	−	1.27715i	−0.149211	−	0.0618054i
$428$	25.2577	+	37.8009i	1.22088	+	1.82718i
$429$	−8.42445	−	1.41053i	−0.406736	−	0.0681011i
$430$	7.75470	+	1.54251i	0.373965	+	0.0743862i
$431$	3.89342	+	19.5736i	0.187540	+	0.942826i	0.953834	+	0.300335i	$0.0970986\pi$
$431$	3.89342	+	19.5736i	0.187540	+	0.942826i	−0.766294	+	0.642490i	$0.777901\pi$
$432$	6.36227	−	1.26553i	0.306105	−	0.0608881i
$433$	9.20456	−	22.2218i	0.442343	−	1.06791i	−0.532781	−	0.846253i	$-0.678853\pi$
$433$	9.20456	−	22.2218i	0.442343	−	1.06791i	0.975125	−	0.221658i	$-0.0711468\pi$
$434$	−10.1214	+	4.19241i	−0.485841	+	0.201242i
$435$	0.843377	−	1.26220i	0.0404368	−	0.0605180i
$436$	−9.54187	−	47.9702i	−0.456972	−	2.29736i
$437$	12.5972	+	18.8530i	0.602605	+	0.901862i
$438$	4.86640	+	4.86640i	0.232525	+	0.232525i
$439$	31.1244	−	20.7967i	1.48549	−	0.992570i	0.493024	−	0.870016i	$-0.335891\pi$
$439$	31.1244	−	20.7967i	1.48549	−	0.992570i	0.992462	−	0.122554i	$-0.0391086\pi$
$440$	−1.03427	+	2.49695i	−0.0493069	+	0.119037i
$441$	−14.8703			−0.708108
$442$	9.85596	−	31.1616i	0.468800	−	1.48221i
$443$	−29.0751			−1.38140			−0.690699	−	0.723142i	$-0.742697\pi$
$443$	−29.0751			−1.38140			−0.690699	+	0.723142i	$0.742697\pi$
$444$	0.190167	−	0.459104i	0.00902493	−	0.0217881i
$445$	3.10640	−	2.07563i	0.147258	−	0.0983944i
$446$	32.9069	+	32.9069i	1.55819	+	1.55819i
$447$	2.84887	+	4.26364i	0.134747	+	0.201663i
$448$	−2.47539	−	12.4446i	−0.116951	−	0.587954i
$449$	11.5157	−	17.2345i	0.543461	−	0.813346i	−0.453500	−	0.891256i	$-0.649825\pi$
$449$	11.5157	−	17.2345i	0.543461	−	0.813346i	0.996960	+	0.0779100i	$0.0248247\pi$
$450$	−24.1436	+	10.0006i	−1.13814	+	0.471433i
$451$	−9.46058	+	22.8399i	−0.445481	+	1.07549i
$452$	12.1960	−	2.42593i	0.573651	−	0.114106i
$453$	−1.56322	−	7.85881i	−0.0734463	−	0.369239i
$454$	60.6512	+	12.0643i	2.84650	+	0.566204i
$455$	1.31983	−	0.941250i	0.0618746	−	0.0441265i
$456$	3.49473	+	5.23023i	0.163656	+	0.244928i
$457$	3.65965	+	1.51588i	0.171191	+	0.0709097i	0.466633	−	0.884451i	$-0.345467\pi$
$457$	3.65965	+	1.51588i	0.171191	+	0.0709097i	−0.295442	+	0.955361i	$0.595467\pi$
$458$		−	31.0562i		−	1.45116i
$459$	−5.39390	+	15.4057i	−0.251766	+	0.719076i
$460$	−4.30345	−	4.30345i	−0.200649	−	0.200649i
$461$	−10.5635	+	25.5027i	−0.491993	+	1.18778i	0.461711	+	0.887031i	$0.347236\pi$
$461$	−10.5635	+	25.5027i	−0.491993	+	1.18778i	−0.953704	+	0.300747i	$0.902764\pi$
$462$	1.01523	−	5.10392i	0.0472329	−	0.237456i
$463$		−	19.3064i		−	0.897247i	−0.893721	−	0.448623i	$-0.851914\pi$
$463$		−	19.3064i		−	0.897247i	0.893721	−	0.448623i	$-0.148086\pi$
$464$	−7.50161	−	1.49216i	−0.348253	−	0.0692719i
$465$	0.901116	−	1.34862i	0.0417883	−	0.0625406i
$466$	−36.4882	+	54.6085i	−1.69029	+	2.52969i
$467$	−1.25542	+	3.03085i	−0.0580939	+	0.140251i	−0.950261	−	0.311454i	$-0.899184\pi$
$467$	−1.25542	+	3.03085i	−0.0580939	+	0.140251i	0.892167	+	0.451705i	$0.149184\pi$
$468$	−13.4152	+	21.4646i	−0.620117	+	0.992201i
$469$	0.125332	+	0.630084i	0.00578727	+	0.0290946i
$470$	0.208696	−	0.0415123i	0.00962645	−	0.00191482i
$471$	2.93416	−	14.7510i	0.135199	−	0.679692i
$472$	14.4956	−	14.4956i	0.667215	−	0.667215i
$473$	5.11092	−	25.6943i	0.235001	−	1.18143i
$474$	4.58479	+	1.89908i	0.210587	+	0.0872278i
$475$	16.1145	+	16.1145i	0.739384	+	0.739384i
$476$	11.0168	+	3.85723i	0.504952	+	0.176796i
$477$	−8.21370			−0.376079
$478$	−28.5319	+	11.8183i	−1.30502	+	0.540556i
$479$	6.67767	−	33.5709i	0.305111	−	1.53390i	−0.458780	−	0.888550i	$-0.651713\pi$
$479$	6.67767	−	33.5709i	0.305111	−	1.53390i	0.763891	−	0.645345i	$-0.223287\pi$
$480$	1.67114	+	1.67114i	0.0762768	+	0.0762768i
$481$	−0.359291	−	0.797785i	−0.0163823	−	0.0363758i
$482$	13.9177	+	9.29949i	0.633932	+	0.423580i
$483$	2.86592	+	1.91495i	0.130404	+	0.0871331i
$484$	−0.667517	−	0.276495i	−0.0303417	−	0.0125679i
$485$	−7.03144	−	2.91252i	−0.319281	−	0.132251i
$486$	18.5420	−	27.7501i	0.841084	−	1.25877i
$487$	−36.0019	+	7.16122i	−1.63140	+	0.324506i	−0.924025	−	0.382331i	$-0.875121\pi$
$487$	−36.0019	+	7.16122i	−1.63140	+	0.324506i	−0.707377	+	0.706837i	$0.750121\pi$
$488$	3.40015	+	5.08868i	0.153917	+	0.230354i
$489$	5.34152			0.241552
$490$	−3.29871	−	4.93687i	−0.149021	−	0.223025i
$491$	10.5081	+	25.3688i	0.474224	+	1.14488i	0.962279	+	0.272065i	$0.0877064\pi$
$491$	10.5081	+	25.3688i	0.474224	+	1.14488i	−0.488055	+	0.872813i	$0.662294\pi$
$492$	−10.9204	−	10.9204i	−0.492332	−	0.492332i
$493$	12.8270	−	14.3480i	0.577697	−	0.646202i
$494$	37.1374	+	6.21802i	1.67089	+	0.279762i
$495$	−1.39859	−	3.37650i	−0.0628620	−	0.151762i
$496$	−8.01518	−	1.59432i	−0.359892	−	0.0715870i
$497$	−2.97991	+	2.97991i	−0.133667	+	0.133667i
$498$	1.22677	−	6.16737i	0.0549727	−	0.276367i
$499$	7.33368	+	36.8689i	0.328301	+	1.65048i	0.694168	+	0.719813i	$0.255772\pi$
$499$	7.33368	+	36.8689i	0.328301	+	1.65048i	−0.365868	+	0.930667i	$0.619228\pi$
$500$	−10.3867	−	6.94014i	−0.464505	−	0.310373i
$501$	−3.82503	+	1.58438i	−0.170890	+	0.0707848i
$502$	0.461012	+	1.11298i	0.0205760	+	0.0496748i
$503$	5.71873	+	28.7500i	0.254985	+	1.28190i	0.869870	+	0.493281i	$0.164203\pi$
$503$	5.71873	+	28.7500i	0.254985	+	1.28190i	−0.614885	+	0.788617i	$0.710797\pi$
$504$	−3.77144	−	2.52000i	−0.167993	−	0.112250i
$505$	3.19332	+	4.77914i	0.142101	+	0.212669i
$506$	−24.3239	+	24.3239i	−1.08133	+	1.08133i
$507$	−2.39048	−	9.08617i	−0.106165	−	0.403531i
$508$	−2.41202	+	0.999093i	−0.107016	+	0.0443276i
$509$	17.9214	−	17.9214i	0.794354	−	0.794354i	−0.187845	−	0.982199i	$-0.560150\pi$
$509$	17.9214	−	17.9214i	0.794354	−	0.794354i	0.982199	+	0.187845i	$0.0601501\pi$
$510$	−2.85468	+	0.735807i	−0.126408	+	0.0325821i
$511$			4.32767i			0.191445i
$512$	6.85474	−	16.5488i	0.302940	−	0.731361i
$513$	−18.4441	−	3.66875i	−0.814326	−	0.161979i
$514$		−	14.2081i		−	0.626692i
$515$	4.82104	−	3.22131i	0.212440	−	0.141948i
$516$	13.6078	+	9.09243i	0.599049	+	0.400272i
$517$	−0.137546	−	0.691493i	−0.00604929	−	0.0304118i
$518$	0.492478	−	0.203991i	0.0216382	−	0.00896285i
$519$	12.3352	+	5.10941i	0.541456	+	0.224278i
$520$	−2.97140	+	0.0905232i	−0.130305	+	0.00396970i
$521$	−4.50143	+	6.73686i	−0.197211	+	0.295147i	−0.916874	−	0.399176i	$-0.869296\pi$
$521$	−4.50143	+	6.73686i	−0.197211	+	0.295147i	0.719663	+	0.694323i	$0.244296\pi$
$522$	−21.1410	+	14.1260i	−0.925318	+	0.618278i
$523$	8.39619	+	8.39619i	0.367140	+	0.367140i	0.866433	−	0.499293i	$-0.166407\pi$
$523$	8.39619	+	8.39619i	0.367140	+	0.367140i	−0.499293	+	0.866433i	$0.666407\pi$
$524$	4.58354	−	3.06262i	0.200233	−	0.133791i
$525$	3.20060	+	1.32573i	0.139685	+	0.0578596i
$526$	−5.53760	+	5.53760i	−0.241451	+	0.241451i
$527$	13.7051	−	15.3303i	0.597004	−	0.667798i
$528$	2.74492	−	2.74492i	0.119457	−	0.119457i
$529$	0.0825334	+	0.199253i	0.00358841	+	0.00866318i
$530$	−1.82207	−	2.72691i	−0.0791455	−	0.118450i
$531$			27.7210i			1.20299i
$532$	−2.62356	+	13.1895i	−0.113746	+	0.571839i
$533$	−27.1797	+	0.828025i	−1.17728	+	0.0358657i
$534$	12.9384	−	2.57360i	0.559898	−	0.111371i
$535$	−2.76305	−	6.67060i	−0.119457	−	0.288395i
$536$	0.450840	−	1.08842i	0.0194733	−	0.0470128i
$537$	12.5869	−	2.50368i	0.543163	−	0.108042i
$538$	6.87984	−	1.36849i	0.296611	−	0.0589996i
$539$	−16.3578	+	10.9299i	−0.704579	+	0.470785i
$540$	5.04755			0.217212
$541$	28.2148	+	5.61227i	1.21305	+	0.241291i	0.759838	−	0.650113i	$-0.225278\pi$
$541$	28.2148	+	5.61227i	1.21305	+	0.241291i	0.453211	+	0.891403i	$0.350278\pi$
$542$	55.2176	−	22.8719i	2.37180	−	0.982432i
$543$	−0.117065			−0.00502375
$544$	18.0125	+	23.9437i	0.772280	+	1.02658i
$545$			7.76768i			0.332731i
$546$	5.57739	−	1.28713i	0.238690	−	0.0550839i
$547$	23.8762	−	15.9536i	1.02087	−	0.682125i	0.0718762	−	0.997414i	$-0.477101\pi$
$547$	23.8762	−	15.9536i	1.02087	−	0.682125i	0.948996	+	0.315289i	$0.102101\pi$
$548$	37.2791			1.59248
$549$	−8.11689	−	1.61455i	−0.346420	−	0.0689073i
$550$	−19.2081	+	28.7470i	−0.819037	+	1.22578i
$551$	18.4362	+	12.3187i	0.785408	+	0.524793i
$552$	−2.41889	−	5.83971i	−0.102955	−	0.248555i
$553$	1.19420	+	2.88305i	0.0507824	+	0.122600i
$554$	−10.1845	−	6.80509i	−0.432699	−	0.289120i
$555$	−0.0438458	+	0.0656199i	−0.00186115	+	0.00278541i
$556$	−5.98237	−	1.18997i	−0.253709	−	0.0504659i
$557$	23.4575			0.993924			0.496962	−	0.867772i	$-0.334449\pi$
$557$	23.4575			0.993924			0.496962	+	0.867772i	$0.334449\pi$
$558$	−22.5884	+	15.0931i	−0.956243	+	0.638941i
$559$	28.0779	−	6.47970i	1.18757	−	0.274062i
$560$			0.736724i			0.0311323i
$561$	2.43801	+	9.45868i	0.102933	+	0.399346i
$562$	−27.9740			−1.18001
$563$	−1.16525	+	0.482662i	−0.0491094	+	0.0203418i	−0.407103	−	0.913382i	$-0.633461\pi$
$563$	−1.16525	+	0.482662i	−0.0491094	+	0.0203418i	0.357994	+	0.933724i	$0.383461\pi$
$564$	0.431981	+	0.0859264i	0.0181897	+	0.00361815i
$565$	−1.97486			−0.0830831
$566$	28.8795	−	19.2967i	1.21390	−	0.811099i
$567$	4.48022	−	0.891172i	0.188152	−	0.0374257i
$568$	7.57966	−	1.50769i	0.318035	−	0.0632612i
$569$	5.64290	−	13.6232i	0.236563	−	0.571113i	−0.760360	−	0.649502i	$-0.774978\pi$
$569$	5.64290	−	13.6232i	0.236563	−	0.571113i	0.996923	+	0.0783890i	$0.0249776\pi$
$570$	−1.29974	−	3.13785i	−0.0544402	−	0.131430i
$571$	−37.5705	+	7.47324i	−1.57228	+	0.312745i	−0.902791	−	0.430079i	$-0.858486\pi$
$571$	−37.5705	+	7.47324i	−1.57228	+	0.312745i	−0.669486	+	0.742824i	$0.733486\pi$
$572$	1.01972	+	33.4721i	0.0426367	+	1.39954i
$573$	−1.46531	+	7.36662i	−0.0612143	+	0.307745i
$574$		−	16.5665i		−	0.691473i
$575$	−12.7225	−	19.0406i	−0.530565	−	0.794047i
$576$	−12.0410	−	29.0696i	−0.501709	−	1.21123i
$577$	−13.9623	+	13.9623i	−0.581259	+	0.581259i	−0.935249	−	0.353990i	$-0.884825\pi$
$577$	−13.9623	+	13.9623i	−0.581259	+	0.581259i	0.353990	+	0.935249i	$0.384825\pi$
$578$	−37.1411	+	4.17080i	−1.54487	+	0.173482i
$579$	−13.7741	+	13.7741i	−0.572430	+	0.572430i
$580$	−5.49842	−	2.27752i	−0.228309	−	0.0945689i
$581$	3.28779	−	2.19683i	0.136401	−	0.0911400i
$582$	−19.0024	−	19.0024i	−0.787673	−	0.787673i
$583$	−9.03533	+	6.03721i	−0.374205	+	0.250036i
$584$	4.40912	−	6.59871i	0.182451	−	0.273057i
$585$	2.75465	−	2.92777i	0.113891	−	0.121048i
$586$	19.7937	+	8.19881i	0.817670	+	0.338690i
$587$	18.5420	−	7.68033i	0.765308	−	0.317001i	0.0343379	−	0.999410i	$-0.489068\pi$
$587$	18.5420	−	7.68033i	0.765308	−	0.317001i	0.730970	+	0.682409i	$0.239068\pi$
$588$	−2.39768	−	12.0539i	−0.0988786	−	0.497096i
$589$	19.6984	+	13.1620i	0.811657	+	0.542332i
$590$	−9.20325	+	6.14942i	−0.378892	+	0.253168i
$591$			15.3011i			0.629404i
$592$	0.389997	+	0.0775751i	0.0160288	+	0.00318832i
$593$	12.5465	−	30.2900i	0.515223	−	1.24386i	−0.425584	−	0.904919i	$-0.639931\pi$
$593$	12.5465	−	30.2900i	0.515223	−	1.24386i	0.940808	−	0.338940i	$-0.110069\pi$
$594$		−	28.5297i		−	1.17059i
$595$	−1.59651	−	0.942155i	−0.0654504	−	0.0386246i
$596$	14.2154	−	14.2154i	0.582285	−	0.582285i
$597$	−7.44374	+	3.08330i	−0.304652	+	0.126191i
$598$	−35.3815	−	13.4084i	−1.44686	−	0.548311i
$599$	6.79705	−	6.79705i	0.277720	−	0.277720i	−0.554478	−	0.832198i	$-0.687082\pi$
$599$	6.79705	−	6.79705i	0.277720	−	0.277720i	0.832198	+	0.554478i	$0.187082\pi$
$600$	−3.52950	−	5.28226i	−0.144091	−	0.215648i
$601$	4.66447	+	3.11670i	0.190268	+	0.127133i	0.647056	−	0.762443i	$-0.276000\pi$
$601$	4.66447	+	3.11670i	0.190268	+	0.127133i	−0.456788	+	0.889576i	$0.651000\pi$
$602$	3.42494	+	17.2183i	0.139590	+	0.701766i
$603$	0.609648	+	1.47182i	0.0248268	+	0.0599372i
$604$	−29.0227	+	12.0216i	−1.18092	+	0.489152i
$605$	0.0954085	+	0.0637499i	0.00387891	+	0.00259180i
$606$	3.95943	+	19.9054i	0.160841	+	0.808602i
$607$	7.93296	−	39.8817i	0.321989	−	1.61875i	−0.392949	−	0.919560i	$-0.628545\pi$
$607$	7.93296	−	39.8817i	0.321989	−	1.61875i	0.714938	−	0.699188i	$-0.246455\pi$
$608$	−24.4093	+	24.4093i	−0.989927	+	0.989927i
$609$	3.30584	+	0.657573i	0.133960	+	0.0266462i
$610$	−1.26457	−	3.05293i	−0.0512008	−	0.123610i
$611$	0.631387	−	0.450280i	0.0255432	−	0.0182164i
$612$	28.6604	+	4.05161i	1.15853	+	0.163777i
$613$	−20.6556	−	20.6556i	−0.834274	−	0.834274i	0.153824	−	0.988098i	$-0.450841\pi$
$613$	−20.6556	−	20.6556i	−0.834274	−	0.834274i	−0.988098	+	0.153824i	$0.950841\pi$
$614$	−10.9786	−	26.5046i	−0.443059	−	1.06964i
$615$	1.36266	+	2.03937i	0.0549478	+	0.0822352i
$616$	−6.00095			−0.241785
$617$	2.38639	+	3.57148i	0.0960724	+	0.143783i	0.876392	−	0.481598i	$-0.159944\pi$
$617$	2.38639	+	3.57148i	0.0960724	+	0.143783i	−0.780320	+	0.625381i	$0.784944\pi$
$618$	20.0799	−	3.99414i	0.807732	−	0.160668i
$619$	−14.1102	+	21.1174i	−0.567137	+	0.848781i	−0.998575	−	0.0533619i	$-0.983006\pi$
$619$	−14.1102	+	21.1174i	−0.567137	+	0.848781i	0.431438	+	0.902143i	$0.358006\pi$
$620$	−5.87485	−	2.43344i	−0.235940	−	0.0977294i
$621$	17.4582	+	7.23144i	0.700575	+	0.290187i
$622$	53.7795	+	35.9343i	2.15636	+	1.44083i
$623$	6.89737	+	4.60867i	0.276337	+	0.184643i
$624$	3.99276	+	1.51312i	0.159838	+	0.0605734i
$625$	−15.5589	−	15.5589i	−0.622357	−	0.622357i
$626$	−10.4079	+	52.3241i	−0.415984	+	2.09129i
$627$	−10.3969	+	4.30655i	−0.415214	+	0.171987i
$628$	−58.9642			−2.35293
$629$	−0.666853	+	0.745930i	−0.0265892	+	0.0297422i
$630$	1.73177	+	1.73177i	0.0689952	+	0.0689952i
$631$	−38.6525	−	16.0104i	−1.53873	−	0.637363i	−0.557496	−	0.830179i	$-0.688238\pi$
$631$	−38.6525	−	16.0104i	−1.53873	−	0.637363i	−0.981235	+	0.192816i	$0.938238\pi$
$632$	1.11643	−	5.61266i	0.0444091	−	0.223260i
$633$	−8.18199	+	8.18199i	−0.325205	+	0.325205i
$634$	8.40620	−	42.2608i	0.333853	−	1.67839i
$635$	0.406662	−	0.0808902i	0.0161379	−	0.00321003i
$636$	−1.32437	−	6.65808i	−0.0525148	−	0.264010i
$637$	−18.3503	−	11.4688i	−0.727065	−	0.454410i
$638$	−12.8730	+	31.0781i	−0.509646	+	1.23039i
$639$	−5.80593	+	8.68918i	−0.229679	+	0.343739i
$640$	3.34638	−	5.00821i	0.132277	−	0.197967i
$641$	−25.5760	−	5.08738i	−1.01019	−	0.200939i	−0.337865	−	0.941195i	$-0.609705\pi$
$641$	−25.5760	−	5.08738i	−1.01019	−	0.200939i	−0.672326	+	0.740255i	$0.734705\pi$
$642$		−	25.4943i		−	1.00618i
$643$	−1.09224	+	5.49107i	−0.0430738	+	0.216547i	−0.996327	−	0.0856246i	$-0.972711\pi$
$643$	−1.09224	+	5.49107i	−0.0430738	+	0.216547i	0.953254	+	0.302171i	$0.0977114\pi$
$644$	5.17127	−	12.4845i	0.203777	−	0.491960i
$645$	−1.83789	−	1.83789i	−0.0723669	−	0.0723669i
$646$	−10.7475	−	41.6965i	−0.422853	−	1.64053i
$647$			30.8860i			1.21425i	0.794605	+	0.607127i	$0.207678\pi$
$647$			30.8860i			1.21425i	−0.794605	+	0.607127i	$0.792322\pi$
$648$	−7.73926	−	3.20571i	−0.304027	−	0.125932i
$649$	20.3754	+	30.4940i	0.799805	+	1.19699i
$650$	−37.5069	−	6.27988i	−1.47114	−	0.246317i
$651$	3.53217	+	0.702592i	0.138437	+	0.0275367i
$652$	−4.08545	−	20.5390i	−0.159999	−	0.804368i
$653$	−47.3974	+	9.42792i	−1.85480	+	0.368943i	−0.990887	−	0.134695i	$-0.956995\pi$
$653$	−47.3974	+	9.42792i	−1.85480	+	0.368943i	−0.863915	+	0.503638i	$0.831995\pi$
$654$	−10.4960	+	25.3396i	−0.410427	+	0.990858i
$655$	−0.808842	+	0.335033i	−0.0316041	+	0.0130908i
$656$	6.86571	−	10.2753i	0.268061	−	0.401181i
$657$	2.09366	+	10.5255i	0.0816813	+	0.410640i
$658$	0.262486	+	0.392838i	0.0102328	+	0.0153144i
$659$	30.1242	+	30.1242i	1.17347	+	1.17347i	0.981376	+	0.192095i	$0.0615281\pi$
$659$	30.1242	+	30.1242i	1.17347	+	1.17347i	0.192095	+	0.981376i	$0.438472\pi$
$660$	2.51150	−	1.67813i	0.0977601	−	0.0653212i
$661$	−5.45736	+	13.1752i	−0.212267	+	0.512457i	−0.993771	−	0.111443i	$-0.964453\pi$
$661$	−5.45736	+	13.1752i	−0.212267	+	0.512457i	0.781504	+	0.623900i	$0.214453\pi$
$662$	34.2928			1.33283
$663$	−8.38512	+	6.71741i	−0.325651	+	0.260883i
$664$	−7.25131			−0.281405
$665$	0.817314	−	1.97317i	0.0316941	−	0.0765163i
$666$	1.09909	−	0.734388i	0.0425888	−	0.0284570i
$667$	−15.7548	−	15.7548i	−0.610027	−	0.610027i
$668$	9.01774	+	13.4960i	0.348907	+	0.522176i
$669$	−2.98457	−	15.0044i	−0.115390	−	0.580105i
$670$	−0.353399	+	0.528899i	−0.0136530	+	0.0204331i
$671$	−10.1156	+	4.19000i	−0.390507	+	0.161753i
$672$	−2.00814	+	4.84807i	−0.0774656	+	0.187018i
$673$	10.0555	−	2.00016i	0.387610	−	0.0771005i	0.00256157	−	0.999997i	$-0.499185\pi$
$673$	10.0555	−	2.00016i	0.387610	−	0.0771005i	0.385049	+	0.922896i	$0.374185\pi$
$674$	9.95341	+	50.0392i	0.383391	+	1.92744i
$675$	18.6276	+	3.70526i	0.716976	+	0.142615i
$676$	−33.1094	+	16.1413i	−1.27344	+	0.620820i
$677$	0.756474	+	1.13214i	0.0290737	+	0.0435118i	0.845722	−	0.533624i	$-0.179170\pi$
$677$	0.756474	+	1.13214i	0.0290737	+	0.0435118i	−0.816648	+	0.577136i	$0.804170\pi$
$678$	−6.44237	−	2.66852i	−0.247418	−	0.102484i
$679$		−	16.8987i		−	0.648514i
$680$	1.47442	+	3.06312i	0.0565414	+	0.117465i
$681$	−14.3745	−	14.3745i	−0.550833	−	0.550833i
$682$	−13.7543	+	33.2057i	−0.526678	+	1.27151i
$683$	−4.69671	+	23.6120i	−0.179715	+	0.903487i	0.780698	+	0.624908i	$0.214864\pi$
$683$	−4.69671	+	23.6120i	−0.179715	+	0.903487i	−0.960413	+	0.278579i	$0.910136\pi$
$684$			33.3481i			1.27509i
$685$	−5.80675	−	1.15503i	−0.221864	−	0.0441316i
$686$	15.8670	−	23.7467i	0.605806	−	0.906653i
$687$	−5.67193	+	8.48864i	−0.216398	+	0.323862i
$688$	−5.01155	+	12.0989i	−0.191063	+	0.461268i
$689$	−10.1359	−	6.33486i	−0.386147	−	0.241339i
$690$	0.665817	+	3.34729i	0.0253472	+	0.127429i
$691$	−8.93083	+	1.77645i	−0.339745	+	0.0675795i	−0.362014	−	0.932173i	$-0.617911\pi$
$691$	−8.93083	+	1.77645i	−0.339745	+	0.0675795i	0.0222694	+	0.999752i	$0.492911\pi$
$692$	10.2119	−	51.3387i	0.388198	−	1.95160i
$693$	5.73802	−	5.73802i	0.217969	−	0.217969i
$694$	−2.00705	+	10.0901i	−0.0761866	+	0.383016i
$695$	0.894971	+	0.370709i	0.0339482	+	0.0140618i
$696$	−4.37071	−	4.37071i	−0.165671	−	0.165671i
$697$	13.4867	+	28.0187i	0.510844	+	1.06128i
$698$	20.2145			0.765132
$699$	19.9468	−	8.26223i	0.754456	−	0.312506i
$700$	2.64966	−	13.3208i	0.100148	−	0.503477i
$701$	−2.15598	−	2.15598i	−0.0814301	−	0.0814301i	0.665219	−	0.746649i	$-0.268338\pi$
$701$	−2.15598	−	2.15598i	−0.0814301	−	0.0814301i	−0.746649	+	0.665219i	$0.768338\pi$
$702$	28.6130	−	12.8862i	1.07993	−	0.486359i
$703$	−0.958469	−	0.640428i	−0.0361493	−	0.0241542i
$704$	−34.6122	−	23.1271i	−1.30450	−	0.871636i
$705$	−0.0646249	−	0.0267685i	−0.00243392	−	0.00100816i
$706$	−0.849597	−	0.351914i	−0.0319750	−	0.0132445i
$707$	−7.09035	+	10.6115i	−0.266660	+	0.399085i
$708$	−22.4708	+	4.46972i	−0.844505	+	0.167982i
$709$	−10.4628	−	15.6586i	−0.392937	−	0.588072i	0.581275	−	0.813707i	$-0.302554\pi$
$709$	−10.4628	−	15.6586i	−0.392937	−	0.588072i	−0.974212	+	0.225636i	$0.927554\pi$
$710$	−4.17272			−0.156599
$711$	4.29923	+	6.43425i	0.161234	+	0.241303i
$712$	−5.82150	−	14.0543i	−0.218170	−	0.526709i
$713$	−16.8334	−	16.8334i	−0.630414	−	0.630414i
$714$	−3.93502	−	5.23076i	−0.147265	−	0.195756i
$715$	0.878245	−	5.24536i	0.0328445	−	0.196165i
$716$	−19.2541	−	46.4834i	−0.719559	−	1.73717i
$717$	9.95708	+	1.98059i	0.371854	+	0.0739664i
$718$	4.65826	−	4.65826i	0.173845	−	0.173845i
$719$	−4.08977	+	20.5607i	−0.152523	+	0.766783i	0.826485	+	0.562959i	$0.190337\pi$
$719$	−4.08977	+	20.5607i	−0.152523	+	0.766783i	−0.979008	+	0.203824i	$0.934663\pi$
$720$	0.356414	+	1.79182i	0.0132828	+	0.0667771i
$721$	10.7045	+	7.15251i	0.398656	+	0.266373i
$722$	7.24074	−	2.99921i	0.269473	−	0.111619i
$723$	−2.10573	−	5.08369i	−0.0783130	−	0.189064i
$724$	0.0895372	+	0.450134i	0.00332762	+	0.0167291i
$725$	−18.6196	−	12.4412i	−0.691515	−	0.462056i
$726$	0.225099	+	0.336884i	0.00835421	+	0.0125030i
$727$	−18.1748	+	18.1748i	−0.674066	+	0.674066i	−0.958651	−	0.284585i	$-0.908144\pi$
$727$	−18.1748	+	18.1748i	−0.674066	+	0.674066i	0.284585	+	0.958651i	$0.408144\pi$
$728$	−2.71049	−	6.01849i	−0.100458	−	0.223060i
$729$	2.53540	−	1.05020i	0.0939036	−	0.0388961i
$730$	−3.02999	+	3.02999i	−0.112145	+	0.112145i
$731$	−19.8098	−	26.3329i	−0.732693	−	0.973956i
$732$		−	6.83993i		−	0.252811i
$733$	14.8912	−	35.9505i	0.550019	−	1.32786i	−0.367445	−	0.930045i	$-0.619767\pi$
$733$	14.8912	−	35.9505i	0.550019	−	1.32786i	0.917464	−	0.397818i	$-0.130233\pi$
$734$	−54.5738	−	10.8554i	−2.01436	−	0.400681i
$735$			1.95186i			0.0719955i
$736$	28.8415	−	19.2713i	1.06311	−	0.710349i
$737$	1.75245	+	1.17095i	0.0645522	+	0.0431324i
$738$	−8.01460	−	40.2921i	−0.295022	−	1.48317i
$739$	35.0534	−	14.5196i	1.28946	−	0.534112i	0.370636	−	0.928778i	$-0.379140\pi$
$739$	35.0534	−	14.5196i	1.28946	−	0.534112i	0.918825	+	0.394666i	$0.129140\pi$
$740$	0.285854	+	0.118405i	0.0105082	+	0.00435264i
$741$	−9.01519	−	8.48214i	−0.331181	−	0.311599i
$742$	4.04566	−	6.05476i	0.148521	−	0.222277i
$743$	2.40524	−	1.60713i	0.0882395	−	0.0589598i	−0.510668	−	0.859778i	$-0.670602\pi$
$743$	2.40524	−	1.60713i	0.0882395	−	0.0589598i	0.598907	+	0.800818i	$0.295602\pi$
$744$	−4.66993	−	4.66993i	−0.171208	−	0.171208i
$745$	−2.65469	+	1.77381i	−0.0972603	+	0.0649873i
$746$	11.6787	+	4.83748i	0.427588	+	0.177113i
$747$	6.93359	−	6.93359i	0.253687	−	0.253687i
$748$	34.5053	−	16.6090i	1.26164	−	0.607285i
$749$	11.3360	−	11.3360i	0.414209	−	0.414209i
$750$	2.68075	+	6.47190i	0.0978872	+	0.236321i
$751$	9.19818	+	13.7660i	0.335646	+	0.502330i	0.960450	−	0.278451i	$-0.0898211\pi$
$751$	9.19818	+	13.7660i	0.335646	+	0.502330i	−0.624804	+	0.780782i	$0.714821\pi$
$752$			0.352437i			0.0128521i
$753$	0.0772595	−	0.388410i	0.00281549	−	0.0141544i
$754$	−36.9833	+	1.12669i	−1.34685	+	0.0410316i
$755$	4.89317	−	0.973312i	0.178081	−	0.0354225i
$756$	4.28890	+	10.3543i	0.155986	+	0.376583i
$757$	6.38205	−	15.4076i	0.231960	−	0.560000i	−0.764448	−	0.644685i	$-0.776988\pi$
$757$	6.38205	−	15.4076i	0.231960	−	0.560000i	0.996408	+	0.0846851i	$0.0269884\pi$
$758$	−4.09709	+	0.814961i	−0.148813	+	0.0296007i
$759$	11.0909	−	2.20611i	0.402573	−	0.0800768i
$760$	−3.25652	+	2.17594i	−0.118126	+	0.0789295i
$761$	−38.7443			−1.40448			−0.702240	−	0.711940i	$-0.747817\pi$
$761$	−38.7443			−1.40448			−0.702240	+	0.711940i	$0.747817\pi$
$762$	1.43591	+	0.285621i	0.0520176	+	0.0103469i
$763$	−15.9343	+	6.60019i	−0.576859	+	0.238943i
$764$	29.4465			1.06534
$765$	−4.33873	−	1.51909i	−0.156867	−	0.0549229i
$766$			39.9994i			1.44524i
$767$	−21.3800	+	34.2084i	−0.771986	+	1.23519i
$768$	2.42133	−	1.61788i	0.0873723	−	0.0583803i
$769$	21.2660			0.766873			0.383436	−	0.923567i	$-0.374741\pi$
$769$	21.2660			0.766873			0.383436	+	0.923567i	$0.374741\pi$
$770$	3.17788	+	0.632119i	0.114523	+	0.0227800i
$771$	−2.59488	+	3.88352i	−0.0934525	+	0.139861i
$772$	63.4984	+	42.4283i	2.28536	+	1.52703i
$773$	−6.69411	−	16.1610i	−0.240770	−	0.581271i	0.756589	−	0.653890i	$-0.226864\pi$
$773$	−6.69411	−	16.1610i	−0.240770	−	0.581271i	−0.997360	+	0.0726191i	$0.976864\pi$
$774$	16.6599	+	40.2205i	0.598826	+	1.44569i
$775$	−19.8943	−	13.2930i	−0.714626	−	0.477498i
$776$	−17.2168	+	25.7667i	−0.618046	+	0.924971i
$777$	−0.171866	−	0.0341862i	−0.00616564	−	0.00122642i
$778$	47.2767			1.69495
$779$	−29.7877	+	19.9035i	−1.06726	+	0.713118i
$780$	2.81743	+	1.76087i	0.100880	+	0.0630492i
$781$			13.8258i			0.494727i
$782$	2.41803	+	43.2007i	0.0864686	+	1.54485i
$783$	18.4789			0.660381
$784$	9.08577	−	3.76345i	0.324492	−	0.134409i
$785$	9.18450	+	1.82691i	0.327809	+	0.0652053i
$786$	−3.09131			−0.110263
$787$	−18.9503	+	12.6622i	−0.675505	+	0.451358i	−0.845421	−	0.534101i	$-0.820650\pi$
$787$	−18.9503	+	12.6622i	−0.675505	+	0.451358i	0.169916	+	0.985459i	$0.445650\pi$
$788$	58.8351	−	11.7030i	2.09591	−	0.416903i
$789$	2.52496	−	0.502245i	0.0898908	−	0.0178804i
$790$	−1.18244	+	2.85465i	−0.0420692	+	0.101564i
$791$	−1.67804	−	4.05114i	−0.0596642	−	0.144042i
$792$	−14.5952	+	2.90316i	−0.518617	+	0.103159i
$793$	−8.77122	−	8.25259i	−0.311475	−	0.293058i
$794$	−3.94875	+	19.8517i	−0.140136	+	0.704510i
$795$			1.07812i			0.0382371i
$796$	17.5491	+	26.2641i	0.622011	+	0.930905i
$797$	−13.6212	−	32.8845i	−0.482488	−	1.16483i	−0.958424	−	0.285348i	$-0.907891\pi$
$797$	−13.6212	−	32.8845i	−0.482488	−	1.16483i	0.475936	−	0.879480i	$-0.342109\pi$
$798$	5.33246	−	5.33246i	0.188767	−	0.188767i
$799$	−0.763744	−	0.450713i	−0.0270193	−	0.0159451i
$800$	24.6521	−	24.6521i	0.871585	−	0.871585i
$801$	19.0050	+	7.87212i	0.671508	+	0.278148i
$802$	44.7108	−	29.8748i	1.57879	−	1.05492i
$803$	10.0395	+	10.0395i	0.354287	+	0.354287i
$804$	−1.09477	+	0.731501i	−0.0386095	+	0.0257980i
$805$	−1.19231	+	1.78442i	−0.0420235	+	0.0628926i
$806$	−39.5153	+	1.20382i	−1.39187	+	0.0424029i
$807$	−2.13041	−	0.882445i	−0.0749940	−	0.0310635i
$808$	21.6223	−	8.95626i	0.760671	−	0.315080i
$809$	0.512434	+	2.57618i	0.0180162	+	0.0905737i	0.988747	−	0.149595i	$-0.0477971\pi$
$809$	0.512434	+	2.57618i	0.0180162	+	0.0905737i	−0.970731	+	0.240169i	$0.922797\pi$
$810$	3.76074	+	2.51285i	0.132139	+	0.0882925i
$811$	−15.4076	+	10.2950i	−0.541035	+	0.361508i	−0.795861	−	0.605479i	$-0.792982\pi$
$811$	−15.4076	+	10.2950i	−0.541035	+	0.361508i	0.254827	+	0.966987i	$0.417982\pi$
$812$		−	13.2144i		−	0.463735i
$813$	−19.2699	−	3.83302i	−0.675825	−	0.134430i
$814$	0.669245	−	1.61570i	0.0234570	−	0.0566303i
$815$			3.32582i			0.116498i
$816$	−0.272872	−	4.87514i	−0.00955243	−	0.170664i
$817$	26.8449	−	26.8449i	0.939184	−	0.939184i
$818$	−3.13910	+	1.30026i	−0.109756	+	0.0454624i
$819$	8.34652	+	3.16305i	0.291651	+	0.110526i
$820$	6.79945	−	6.79945i	0.237447	−	0.237447i
$821$	2.08860	+	3.12582i	0.0728928	+	0.109092i	0.866125	−	0.499828i	$-0.166603\pi$
$821$	2.08860	+	3.12582i	0.0728928	+	0.109092i	−0.793232	+	0.608919i	$0.791603\pi$
$822$	−17.3820	−	11.6143i	−0.606266	−	0.405094i
$823$	2.84384	+	14.2970i	0.0991301	+	0.498361i	0.998169	+	0.0604914i	$0.0192668\pi$
$823$	2.84384	+	14.2970i	0.0991301	+	0.498361i	−0.899039	+	0.437869i	$0.855733\pi$
$824$	−9.03478	−	21.8119i	−0.314741	−	0.759853i
$825$	10.5004	−	4.34940i	0.365576	−	0.151427i
$826$	−20.4346	−	13.6540i	−0.711012	−	0.475083i
$827$	8.57716	+	43.1203i	0.298257	+	1.49944i	0.781473	+	0.623939i	$0.214469\pi$
$827$	8.57716	+	43.1203i	0.298257	+	1.49944i	−0.483216	+	0.875501i	$0.660531\pi$
$828$	6.53745	−	32.8660i	0.227192	−	1.14217i
$829$	−3.30473	+	3.30473i	−0.114778	+	0.114778i	−0.762163	−	0.647385i	$-0.775863\pi$
$829$	−3.30473	+	3.30473i	−0.114778	+	0.114778i	0.647385	+	0.762163i	$0.275863\pi$
$830$	3.84002	+	0.763827i	0.133289	+	0.0265128i
$831$	1.54091	+	3.72009i	0.0534537	+	0.129049i
$832$	7.56115	−	45.1593i	0.262136	−	1.56562i
$833$	−3.46377	+	24.5020i	−0.120012	+	0.848946i
$834$	2.41865	+	2.41865i	0.0837508	+	0.0837508i
$835$	−0.986489	−	2.38159i	−0.0341389	−	0.0824185i
$836$	24.5114	+	36.6839i	0.847745	+	1.26874i
$837$	19.7440			0.682451
$838$	8.23114	+	12.3188i	0.284340	+	0.425545i
$839$	49.2271	−	9.79187i	1.69951	−	0.338053i	0.752335	−	0.658781i	$-0.228927\pi$
$839$	49.2271	−	9.79187i	1.69951	−	0.338053i	0.947171	+	0.320728i	$0.103927\pi$
$840$	−0.330773	+	0.495037i	−0.0114127	+	0.0170804i
$841$	6.66301	+	2.75991i	0.229759	+	0.0951693i
$842$	45.3967	+	18.8039i	1.56447	+	0.648026i
$843$	7.64618	+	5.10901i	0.263348	+	0.175964i
$844$	37.7190	+	25.2030i	1.29834	+	0.867524i
$845$	5.65737	−	1.48840i	0.194619	−	0.0512024i
$846$	0.828451	+	0.828451i	0.0284827	+	0.0284827i
$847$	−0.0497052	+	0.249885i	−0.00170789	+	0.00858615i
$848$	5.01859	−	2.07877i	0.172339	−	0.0713851i
$849$	−11.4179			−0.391862
$850$	10.8544	+	42.1114i	0.372302	+	1.44441i
$851$	0.819065	+	0.819065i	0.0280772	+	0.0280772i
$852$	−7.97965	−	3.30528i	−0.273378	−	0.113237i
$853$	−1.32644	+	6.66845i	−0.0454163	+	0.228323i	−0.996827	−	0.0796026i	$-0.974635\pi$
$853$	−1.32644	+	6.66845i	−0.0454163	+	0.228323i	0.951410	+	0.307926i	$0.0996349\pi$
$854$	5.18815	−	5.18815i	0.177535	−	0.177535i
$855$	1.03324	−	5.19443i	0.0353360	−	0.177646i
$856$	−28.8342	+	5.73547i	−0.985531	+	0.196034i
$857$	−9.96215	−	50.0831i	−0.340300	−	1.71081i	−0.649968	−	0.759961i	$-0.725218\pi$
$857$	−9.96215	−	50.0831i	−0.340300	−	1.71081i	0.309668	−	0.950845i	$-0.399782\pi$
$858$	9.95275	−	15.9246i	0.339781	−	0.543657i
$859$	−4.65556	+	11.2395i	−0.158846	+	0.383487i	−0.983186	−	0.182607i	$-0.941546\pi$
$859$	−4.65556	+	11.2395i	−0.158846	+	0.383487i	0.824340	+	0.566095i	$0.191546\pi$
$860$	−5.66126	+	8.47267i	−0.193047	+	0.288916i
$861$	−3.02561	+	4.52815i	−0.103113	+	0.154319i
$862$	−43.0325	−	8.55970i	−1.46569	−	0.291545i
$863$		−	37.9925i		−	1.29328i	−0.762795	−	0.646641i	$-0.776173\pi$
$863$		−	37.9925i		−	1.29328i	0.762795	−	0.646641i	$-0.223827\pi$
$864$	−5.61250	+	28.2159i	−0.190941	+	0.959926i
$865$	−3.18130	+	7.68033i	−0.108167	+	0.261139i
$866$	37.3917	+	37.3917i	1.27062	+	1.27062i
$867$	10.9136	+	5.64323i	0.370644	+	0.191654i
$868$		−	14.1191i		−	0.479233i
$869$	9.45857	+	3.91787i	0.320860	+	0.132905i
$870$	1.85417	+	2.77496i	0.0628622	+	0.0940799i
$871$	−0.382829	+	2.28646i	−0.0129717	+	0.0774737i
$872$	31.0205	+	6.17036i	1.05049	+	0.208955i
$873$	−8.17533	−	41.1001i	−0.276693	−	1.39103i
$874$	−48.8917	+	9.72517i	−1.65379	+	0.328959i
$875$	−1.68573	+	4.06971i	−0.0569881	+	0.137581i
$876$	−8.19447	+	3.39426i	−0.276866	+	0.114681i
$877$	−19.1857	+	28.7134i	−0.647854	+	0.969583i	0.351587	+	0.936155i	$0.385642\pi$
$877$	−19.1857	+	28.7134i	−0.647854	+	0.969583i	−0.999441	+	0.0334274i	$0.989358\pi$
$878$	16.0553	+	80.7152i	0.541839	+	2.72401i
$879$	−3.91286	−	5.85600i	−0.131977	−	0.197518i
$880$	1.70908	+	1.70908i	0.0576132	+	0.0576132i
$881$	−34.5553	+	23.0891i	−1.16420	+	0.777893i	−0.978810	−	0.204772i	$-0.934355\pi$
$881$	−34.5553	+	23.0891i	−1.16420	+	0.777893i	−0.185390	+	0.982665i	$0.559355\pi$
$882$	12.5108	−	30.2038i	0.421261	−	1.01701i
$883$	39.1910			1.31888			0.659442	−	0.751756i	$-0.270793\pi$
$883$	39.1910			1.31888			0.659442	+	0.751756i	$0.270793\pi$
$884$	32.2428	+	27.1043i	1.08444	+	0.911615i
$885$	3.63864			0.122311
$886$	24.4617	−	59.0559i	0.821808	−	1.98402i
$887$	28.5052	−	19.0466i	0.957111	−	0.639521i	0.0242305	−	0.999706i	$-0.492286\pi$
$887$	28.5052	−	19.0466i	0.957111	−	0.639521i	0.932881	+	0.360185i	$0.117286\pi$
$888$	0.227226	+	0.227226i	0.00762521	+	0.00762521i
$889$	0.511475	+	0.765477i	0.0171543	+	0.0256733i
$890$	1.60241	+	8.05587i	0.0537130	+	0.270033i
$891$	8.32604	−	12.4608i	0.278933	−	0.417453i
$892$	−55.4116	+	22.9522i	−1.85532	+	0.768497i
$893$	0.390991	−	0.943935i	0.0130840	−	0.0315876i
$894$	−11.0569	+	2.19936i	−0.369800	+	0.0735577i
$895$	1.55888	+	7.83702i	0.0521076	+	0.261963i
$896$	13.1170	+	2.60914i	0.438210	+	0.0871653i
$897$	7.22205	+	10.1268i	0.241137	+	0.338125i
$898$	25.3174	+	37.8901i	0.844851	+	1.26441i
$899$	−21.5076	−	8.90874i	−0.717318	−	0.297123i
$900$		−	33.6798i		−	1.12266i
$901$	−1.91323	+	13.5339i	−0.0637391	+	0.450879i
$902$	−38.4317	−	38.4317i	−1.27964	−	1.27964i
$903$	2.20851	−	5.33182i	0.0734947	−	0.177432i
$904$	−1.56876	+	7.88669i	−0.0521762	+	0.262307i
$905$		−	0.0728889i		−	0.00242291i
$906$	17.2776	+	3.43673i	0.574011	+	0.114178i
$907$	23.0944	−	34.5633i	0.766838	−	1.14765i	−0.218299	−	0.975882i	$-0.570051\pi$
$907$	23.0944	−	34.5633i	0.766838	−	1.14765i	0.985137	−	0.171772i	$-0.0549492\pi$
$908$	−44.2779	+	66.2666i	−1.46941	+	2.19913i
$909$	−12.1111	+	29.2388i	−0.401700	+	0.969789i
$910$	0.801409	+	3.47268i	0.0265665	+	0.115118i
$911$	−10.2498	−	51.5292i	−0.339591	−	1.70724i	−0.652779	−	0.757549i	$-0.726397\pi$
$911$	−10.2498	−	51.5292i	−0.339591	−	1.70724i	0.313187	−	0.949691i	$-0.398603\pi$
$912$	5.51737	−	1.09747i	0.182698	−	0.0363410i
$913$	2.53086	−	12.7235i	0.0837592	−	0.421086i
$914$	−6.15795	+	6.15795i	−0.203687	+	0.203687i
$915$	−0.211925	+	1.06542i	−0.00700601	+	0.0352216i
$916$	36.9783	+	15.3169i	1.22180	+	0.506085i
$917$	−1.37454	−	1.37454i	−0.0453915	−	0.0453915i
$918$	−26.7532	−	23.9171i	−0.882988	−	0.789382i
$919$	−35.8913			−1.18394			−0.591972	−	0.805958i	$-0.701650\pi$
$919$	−35.8913			−1.18394			−0.591972	+	0.805958i	$0.701650\pi$
$920$	3.63601	−	1.50608i	0.119876	−	0.0496541i
$921$	−1.83986	+	9.24961i	−0.0606255	+	0.304785i
$922$	−42.9123	−	42.9123i	−1.41324	−	1.41324i
$923$	−13.8662	+	6.24482i	−0.456413	+	0.205551i
$924$	5.57647	+	3.72608i	0.183452	+	0.122579i
$925$	0.968005	+	0.646800i	0.0318278	+	0.0212667i
$926$	39.2143	+	16.2431i	1.28866	+	0.533782i
$927$	29.4951	+	12.2173i	0.968746	+	0.401268i
$928$	18.8452	−	28.2039i	0.618625	−	0.925838i
$929$	3.32342	−	0.661069i	0.109038	−	0.0216890i	−0.140270	−	0.990113i	$-0.544797\pi$
$929$	3.32342	−	0.661069i	0.109038	−	0.0216890i	0.249308	+	0.968424i	$0.419797\pi$
$930$	1.98111	+	2.96493i	0.0649630	+	0.0972240i
$931$	−28.5096			−0.934364
$932$	−47.0258	−	70.3790i	−1.54038	−	2.30534i
$933$	−8.13679	−	19.6439i	−0.266387	−	0.643114i
$934$	−5.09990	−	5.09990i	−0.166874	−	0.166874i
$935$	−5.88930	+	1.51799i	−0.192601	+	0.0496436i
$936$	−9.50395	−	13.3265i	−0.310646	−	0.435591i
$937$	−3.64856	−	8.80841i	−0.119193	−	0.287758i	0.853011	−	0.521893i	$-0.174774\pi$
$937$	−3.64856	−	8.80841i	−0.119193	−	0.287758i	−0.972204	+	0.234135i	$0.924774\pi$
$938$	−1.38524	−	0.275542i	−0.0452298	−	0.00899676i
$939$	12.4010	−	12.4010i	0.404691	−	0.404691i
$940$	−0.0535008	+	0.268966i	−0.00174500	+	0.00877272i
$941$	−9.46417	−	47.5796i	−0.308523	−	1.55105i	−0.754678	−	0.656095i	$-0.772207\pi$
$941$	−9.46417	−	47.5796i	−0.308523	−	1.55105i	0.446155	−	0.894956i	$-0.352793\pi$
$942$	27.4930	+	18.3702i	0.895770	+	0.598534i
$943$	33.2589	−	13.7763i	1.08306	−	0.448618i
$944$	−7.01577	−	16.9376i	−0.228344	−	0.551271i
$945$	−0.347245	−	1.74572i	−0.0112959	−	0.0567882i
$946$	47.8891	+	31.9985i	1.55701	+	1.04036i
$947$	−15.7498	−	23.5712i	−0.511798	−	0.765960i	0.482117	−	0.876107i	$-0.339868\pi$
$947$	−15.7498	−	23.5712i	−0.511798	−	0.765960i	−0.993915	+	0.110147i	$0.964868\pi$
$948$	−4.52244	+	4.52244i	−0.146882	+	0.146882i
$949$	−5.53424	+	14.6035i	−0.179649	+	0.474049i
$950$	−46.2886	+	19.1734i	−1.50180	+	0.622066i
$951$	−10.0160	+	10.0160i	−0.324790	+	0.324790i
$952$	−5.03074	+	5.62729i	−0.163047	+	0.182382i
$953$		−	44.1689i		−	1.43077i	−0.698731	−	0.715385i	$-0.746251\pi$
$953$		−	44.1689i		−	1.43077i	0.698731	−	0.715385i	$-0.253749\pi$
$954$	6.91043	−	16.6833i	0.223734	−	0.540141i
$955$	−4.58671	−	0.912354i	−0.148423	−	0.0295231i
$956$		−	39.8013i		−	1.28727i
$957$	9.19452	−	6.14358i	0.297216	−	0.198594i
$958$	62.5695	+	41.8076i	2.02153	+	1.35074i
$959$	−2.56460	−	12.8931i	−0.0828154	−	0.416341i
$960$	−3.81565	+	1.58049i	−0.123150	+	0.0510102i
$961$	5.66023	+	2.34455i	0.182588	+	0.0756305i
$962$	1.92270	−	0.0585748i	0.0619905	−	0.00188853i
$963$	22.0866	−	33.0549i	0.711731	−	1.06518i
$964$	−17.9370	+	11.9851i	−0.577711	+	0.386014i
$965$	−8.57620	−	8.57620i	−0.276078	−	0.276078i
$966$	−6.30074	+	4.21002i	−0.202723	+	0.135455i
$967$	−30.5891	−	12.6704i	−0.983679	−	0.407453i	−0.167892	−	0.985805i	$-0.553696\pi$
$967$	−30.5891	−	12.6704i	−0.983679	−	0.407453i	−0.815787	+	0.578352i	$0.803696\pi$
$968$	0.330377	−	0.330377i	0.0106187	−	0.0106187i
$969$	−4.67760	+	13.3598i	−0.150266	+	0.429180i
$970$	11.8315	−	11.8315i	0.379887	−	0.379887i
$971$	−6.67876	−	16.1240i	−0.214332	−	0.517443i	0.779748	−	0.626093i	$-0.215347\pi$
$971$	−6.67876	−	16.1240i	−0.214332	−	0.517443i	−0.994080	+	0.108651i	$0.965347\pi$
$972$	23.8968	+	35.7641i	0.766491	+	1.14714i
$973$			2.15089i			0.0689545i
$974$	15.7440	−	79.1503i	0.504469	−	2.53614i
$975$	9.10489	+	8.56653i	0.291590	+	0.274349i
$976$	5.36805	−	1.06777i	0.171827	−	0.0341786i
$977$	−4.03335	−	9.73737i	−0.129038	−	0.311526i	0.846135	−	0.532968i	$-0.178924\pi$
$977$	−4.03335	−	9.73737i	−0.129038	−	0.311526i	−0.975173	+	0.221442i	$0.928924\pi$
$978$	−4.49399	+	10.8494i	−0.143702	+	0.346927i
$979$	26.6922	−	5.30942i	0.853088	−	0.169690i
$980$	7.50520	−	1.49288i	0.239745	−	0.0476882i
$981$	−35.5614	+	23.7613i	−1.13539	+	0.758641i
$982$	−60.3686			−1.92644
$983$	−24.8808	−	4.94910i	−0.793574	−	0.157852i	−0.218375	−	0.975865i	$-0.570076\pi$
$983$	−24.8808	−	4.94910i	−0.793574	−	0.157852i	−0.575199	+	0.818013i	$0.695076\pi$
$984$	9.22674	−	3.82184i	0.294138	−	0.121836i
$985$	−9.52701			−0.303556
$986$	18.3513	+	38.1249i	0.584423	+	1.21414i
$987$		−	0.155314i		−	0.00494369i
$988$	−25.7199	+	41.1523i	−0.818258	+	1.30923i
$989$	−31.7194	+	21.1942i	−1.00862	+	0.673937i
$990$	8.03486			0.255365
$991$	54.7202	+	10.8845i	1.73824	+	0.345758i	0.959527	−	0.281617i	$-0.0908709\pi$
$991$	54.7202	+	10.8845i	1.73824	+	0.345758i	0.778717	+	0.627375i	$0.215871\pi$
$992$	20.1354	−	30.1348i	0.639300	−	0.956780i
$993$	−9.37330	−	6.26304i	−0.297453	−	0.198752i
$994$	−3.54555	−	8.55973i	−0.112458	−	0.271498i
$995$	−1.91977	−	4.63473i	−0.0608608	−	0.146931i
$996$	6.73838	+	4.50244i	0.213514	+	0.142665i
$997$	−11.3824	+	17.0350i	−0.360485	+	0.539504i	−0.966738	−	0.255768i	$-0.917672\pi$
$997$	−11.3824	+	17.0350i	−0.360485	+	0.539504i	0.606253	+	0.795272i	$0.292672\pi$
$998$	−81.0564	−	16.1231i	−2.56580	−	0.510369i
$999$	−0.960687			−0.0303948

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	221.2.z.a.216.2	yes	152
13.5	odd	4		221.2.ba.a.148.18	yes	152
17.10	odd	16		221.2.ba.a.112.18	yes	152
221.44	even	16	inner	221.2.z.a.44.2	✓	152

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
221.2.z.a.44.2	✓	152	221.44	even	16	inner
221.2.z.a.216.2	yes	152	1.1	even	1	trivial
221.2.ba.a.112.18	yes	152	17.10	odd	16
221.2.ba.a.148.18	yes	152	13.5	odd	4

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 221 = 13 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	221.z (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.841331 + 2.03115i) q^{2} +(0.600920 - 0.401522i) q^{3} +(-2.00353 - 2.00353i) q^{4} +(0.250002 + 0.374154i) q^{5} +(0.309980 + 1.55837i) q^{6} +(-0.555096 + 0.830760i) q^{7} +(1.69279 - 0.701176i) q^{8} +(-0.948165 + 2.28907i) q^{9} +O(q^{10})\)	\(q+(-0.841331 + 2.03115i) q^{2} +(0.600920 - 0.401522i) q^{3} +(-2.00353 - 2.00353i) q^{4} +(0.250002 + 0.374154i) q^{5} +(0.309980 + 1.55837i) q^{6} +(-0.555096 + 0.830760i) q^{7} +(1.69279 - 0.701176i) q^{8} +(-0.948165 + 2.28907i) q^{9} +(-0.970297 + 0.193004i) q^{10} +(0.639498 + 3.21497i) q^{11} +(-2.00842 - 0.399499i) q^{12} +(-2.93552 + 2.09350i) q^{13} +(-1.22038 - 1.82643i) q^{14} +(0.300462 + 0.124455i) q^{15} -1.63859i q^{16} +(3.55089 + 2.09551i) q^{17} +(-3.85173 - 3.85173i) q^{18} +(-1.81784 + 4.38866i) q^{19} +(0.248742 - 1.25051i) q^{20} +0.722104i q^{21} +(-7.06812 - 1.40594i) q^{22} +(2.65190 - 3.96885i) q^{23} +(0.735694 - 1.10104i) q^{24} +(1.83593 - 4.43232i) q^{25} +(-1.78247 - 7.72381i) q^{26} +(0.772329 + 3.88276i) q^{27} +(2.77660 - 0.552300i) q^{28} +(0.910635 - 4.57807i) q^{29} +(-0.505576 + 0.505576i) q^{30} +(0.972979 - 4.89149i) q^{31} +(6.71381 + 2.78095i) q^{32} +(1.67517 + 1.67517i) q^{33} +(-7.24377 + 5.44939i) q^{34} -0.449607 q^{35} +(6.48589 - 2.68654i) q^{36} +(-0.0473425 + 0.238007i) q^{37} +(-7.38462 - 7.38462i) q^{38} +(-0.923428 + 2.43670i) q^{39} +(0.685548 + 0.458068i) q^{40} +(6.27078 + 4.19000i) q^{41} +(-1.46670 - 0.607528i) q^{42} +(-7.38373 - 3.05844i) q^{43} +(5.16003 - 7.72253i) q^{44} +(-1.09351 + 0.217512i) q^{45} +(5.83021 + 8.72552i) q^{46} -0.215085 q^{47} +(-0.657932 - 0.984665i) q^{48} +(2.29675 + 5.54485i) q^{49} +(7.45809 + 7.45809i) q^{50} +(2.97520 - 0.166528i) q^{51} +(10.0758 + 1.68701i) q^{52} +(1.26863 + 3.06274i) q^{53} +(-8.53626 - 1.69797i) q^{54} +(-1.04302 + 1.04302i) q^{55} +(-0.357152 + 1.79552i) q^{56} +(0.669765 + 3.36714i) q^{57} +(8.53262 + 5.70131i) q^{58} +(10.3366 - 4.28158i) q^{59} +(-0.352634 - 0.851333i) q^{60} +(0.651639 + 3.27601i) q^{61} +(9.11677 + 6.09163i) q^{62} +(-1.37535 - 2.05835i) q^{63} +(-8.97975 + 8.97975i) q^{64} +(-1.51717 - 0.574958i) q^{65} +(-4.81189 + 1.99315i) q^{66} +(0.454653 - 0.454653i) q^{67} +(-2.91590 - 11.3127i) q^{68} -3.44976i q^{69} +(0.378268 - 0.913220i) q^{70} +(4.13678 + 0.822856i) q^{71} +4.53975i q^{72} +(3.60140 - 2.40638i) q^{73} +(-0.443597 - 0.296402i) q^{74} +(-0.676429 - 3.40064i) q^{75} +(12.4349 - 5.15069i) q^{76} +(-3.02585 - 1.25335i) q^{77} +(-4.17240 - 3.92569i) q^{78} +(1.73519 - 2.59689i) q^{79} +(0.613086 - 0.409651i) q^{80} +(-3.23282 - 3.23282i) q^{81} +(-13.7863 + 9.21172i) q^{82} +(-3.65632 - 1.51450i) q^{83} +(1.44675 - 1.44675i) q^{84} +(0.103686 + 1.85246i) q^{85} +(12.4243 - 12.4243i) q^{86} +(-1.29098 - 3.11670i) q^{87} +(3.33680 + 4.99387i) q^{88} -8.30248i q^{89} +(0.478201 - 2.40408i) q^{90} +(-0.109698 - 3.60080i) q^{91} +(-13.2648 + 2.63854i) q^{92} +(-1.37936 - 3.33007i) q^{93} +(0.180958 - 0.436871i) q^{94} +(-2.09650 + 0.417019i) q^{95} +(5.15108 - 1.02461i) q^{96} +(-14.0628 + 9.39646i) q^{97} -13.1948 q^{98} +(-7.96566 - 1.58447i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 152 q - 8 q^{2} - 16 q^{3} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 24 q^{8} - 16 q^{9}+O(q^{10}) \) 152 * q - 8 * q^2 - 16 * q^3 - 8 * q^5 - 8 * q^6 - 8 * q^7 - 24 * q^8 - 16 * q^9	\( 152 q - 8 q^{2} - 16 q^{3} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 24 q^{8} - 16 q^{9} - 8 q^{11} - 24 q^{15} - 16 q^{17} + 16 q^{18} - 8 q^{19} - 80 q^{20} - 32 q^{22} - 40 q^{24} - 8 q^{26} - 16 q^{27} - 24 q^{28} + 24 q^{29} - 40 q^{31} + 120 q^{32} + 48 q^{33} - 40 q^{34} - 32 q^{35} - 8 q^{37} + 80 q^{38} - 8 q^{39} - 16 q^{40} + 32 q^{42} + 64 q^{43} + 24 q^{44} - 16 q^{45} + 24 q^{46} - 96 q^{47} + 32 q^{48} - 16 q^{49} - 16 q^{52} - 40 q^{53} + 16 q^{54} - 48 q^{55} + 32 q^{57} + 88 q^{58} + 56 q^{59} + 16 q^{60} + 32 q^{61} - 96 q^{62} + 64 q^{63} + 48 q^{64} + 32 q^{65} - 224 q^{66} - 64 q^{67} - 16 q^{68} - 88 q^{70} - 72 q^{71} + 72 q^{73} + 104 q^{74} + 112 q^{75} - 120 q^{76} + 56 q^{78} - 80 q^{79} - 16 q^{81} - 8 q^{83} + 160 q^{84} + 24 q^{85} - 16 q^{86} + 80 q^{87} - 8 q^{90} - 128 q^{91} - 16 q^{92} - 16 q^{94} - 64 q^{95} + 64 q^{96} - 56 q^{97} - 88 q^{98} - 64 q^{99}+O(q^{100}) \) 152 * q - 8 * q^2 - 16 * q^3 - 8 * q^5 - 8 * q^6 - 8 * q^7 - 24 * q^8 - 16 * q^9 - 8 * q^11 - 24 * q^15 - 16 * q^17 + 16 * q^18 - 8 * q^19 - 80 * q^20 - 32 * q^22 - 40 * q^24 - 8 * q^26 - 16 * q^27 - 24 * q^28 + 24 * q^29 - 40 * q^31 + 120 * q^32 + 48 * q^33 - 40 * q^34 - 32 * q^35 - 8 * q^37 + 80 * q^38 - 8 * q^39 - 16 * q^40 + 32 * q^42 + 64 * q^43 + 24 * q^44 - 16 * q^45 + 24 * q^46 - 96 * q^47 + 32 * q^48 - 16 * q^49 - 16 * q^52 - 40 * q^53 + 16 * q^54 - 48 * q^55 + 32 * q^57 + 88 * q^58 + 56 * q^59 + 16 * q^60 + 32 * q^61 - 96 * q^62 + 64 * q^63 + 48 * q^64 + 32 * q^65 - 224 * q^66 - 64 * q^67 - 16 * q^68 - 88 * q^70 - 72 * q^71 + 72 * q^73 + 104 * q^74 + 112 * q^75 - 120 * q^76 + 56 * q^78 - 80 * q^79 - 16 * q^81 - 8 * q^83 + 160 * q^84 + 24 * q^85 - 16 * q^86 + 80 * q^87 - 8 * q^90 - 128 * q^91 - 16 * q^92 - 16 * q^94 - 64 * q^95 + 64 * q^96 - 56 * q^97 - 88 * q^98 - 64 * q^99

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