LMFDB - Embedded newform 637.2.w.a.92.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(92,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(14))

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

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.w (of order $7$, degree $6$, 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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$162$
Relative dimension:	$27$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			92.4
Character	$\chi$	$=$	637.92
Dual form			637.2.w.a.547.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.50697 + 1.88968i) q^{2} +(2.72555 + 1.31256i) q^{3} +(-0.854886 - 3.74550i) q^{4} +(-3.20148 - 1.54175i) q^{5} +(-6.58762 + 3.17243i) q^{6} +(-1.89391 - 1.84746i) q^{7} +(4.01081 + 1.93150i) q^{8} +(3.83535 + 4.80937i) q^{9} +O(q^{10})$	\(q+(-1.50697 + 1.88968i) q^{2} +(2.72555 + 1.31256i) q^{3} +(-0.854886 - 3.74550i) q^{4} +(-3.20148 - 1.54175i) q^{5} +(-6.58762 + 3.17243i) q^{6} +(-1.89391 - 1.84746i) q^{7} +(4.01081 + 1.93150i) q^{8} +(3.83535 + 4.80937i) q^{9} +(7.73794 - 3.72639i) q^{10} +(2.35874 - 2.95776i) q^{11} +(2.58614 - 11.3306i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(6.34516 - 0.794806i) q^{14} +(-6.70216 - 8.40424i) q^{15} +(-2.77135 + 1.33461i) q^{16} +(0.660410 - 2.89344i) q^{17} -14.8679 q^{18} +5.83261 q^{19} +(-3.03773 + 13.3092i) q^{20} +(-2.73704 - 7.52121i) q^{21} +(2.03468 + 8.91450i) q^{22} +(-0.526843 - 2.30825i) q^{23} +(8.39645 + 10.5288i) q^{24} +(4.75504 + 5.96263i) q^{25} +(-0.537830 - 2.35639i) q^{26} +(2.12140 + 9.29444i) q^{27} +(-5.30060 + 8.67300i) q^{28} +(-0.296431 + 1.29875i) q^{29} +25.9812 q^{30} +4.73839 q^{31} +(-0.326831 + 1.43194i) q^{32} +(10.3111 - 4.96555i) q^{33} +(4.47246 + 5.60829i) q^{34} +(3.21498 + 8.83455i) q^{35} +(14.7347 - 18.4768i) q^{36} +(2.21152 - 9.68930i) q^{37} +(-8.78955 + 11.0217i) q^{38} +(-2.72555 + 1.31256i) q^{39} +(-9.86263 - 12.3674i) q^{40} +(-7.53879 - 3.63049i) q^{41} +(18.3373 + 6.16209i) q^{42} +(6.15483 - 2.96401i) q^{43} +(-13.0948 - 6.30610i) q^{44} +(-4.86393 - 21.3103i) q^{45} +(5.15578 + 2.48289i) q^{46} +(-3.47606 + 4.35884i) q^{47} -9.30519 q^{48} +(0.173764 + 6.99784i) q^{49} -18.4331 q^{50} +(5.59779 - 7.01940i) q^{51} +(3.46136 + 1.66690i) q^{52} +(-2.18787 - 9.58569i) q^{53} +(-20.7604 - 9.99766i) q^{54} +(-12.1116 + 5.83263i) q^{55} +(-4.02772 - 11.0679i) q^{56} +(15.8971 + 7.65563i) q^{57} +(-2.00750 - 2.51733i) q^{58} +(-0.598893 + 0.288412i) q^{59} +(-25.7485 + 32.2876i) q^{60} +(2.03921 - 8.93435i) q^{61} +(-7.14059 + 8.95401i) q^{62} +(1.62135 - 16.1942i) q^{63} +(-6.04905 - 7.58526i) q^{64} +(3.20148 - 1.54175i) q^{65} +(-6.15516 + 26.9675i) q^{66} +9.36195 q^{67} -11.4020 q^{68} +(1.59377 - 6.98276i) q^{69} +(-21.5393 - 7.23811i) q^{70} +(0.824749 + 3.61346i) q^{71} +(6.09353 + 26.6975i) q^{72} +(-8.31603 - 10.4280i) q^{73} +(14.9770 + 18.7805i) q^{74} +(5.13381 + 22.4927i) q^{75} +(-4.98622 - 21.8461i) q^{76} +(-9.93158 + 1.24405i) q^{77} +(1.62701 - 7.12838i) q^{78} -2.58168 q^{79} +10.9301 q^{80} +(-2.31104 + 10.1253i) q^{81} +(18.2212 - 8.77485i) q^{82} +(4.53782 + 5.69025i) q^{83} +(-25.8308 + 16.6814i) q^{84} +(-6.57527 + 8.24512i) q^{85} +(-3.67411 + 16.0973i) q^{86} +(-2.51261 + 3.15072i) q^{87} +(15.1734 - 7.30711i) q^{88} +(8.19722 + 10.2790i) q^{89} +(47.5993 + 22.9226i) q^{90} +(2.62524 - 0.328842i) q^{91} +(-8.19516 + 3.94658i) q^{92} +(12.9147 + 6.21939i) q^{93} +(-2.99849 - 13.1373i) q^{94} +(-18.6730 - 8.99244i) q^{95} +(-2.77030 + 3.47384i) q^{96} -7.54822 q^{97} +(-13.4855 - 10.2172i) q^{98} +23.2716 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) $ 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{1}{7}\right)$

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 $

$2$	−1.50697	+	1.88968i	−1.06559	+	1.33620i	−0.126713	+	0.991939i	$0.540443\pi$
$2$	−1.50697	+	1.88968i	−1.06559	+	1.33620i	−0.938873	+	0.344263i	$0.888129\pi$
$3$	2.72555	+	1.31256i	1.57360	+	0.757804i	0.998194	−	0.0600663i	$-0.0191312\pi$
$3$	2.72555	+	1.31256i	1.57360	+	0.757804i	0.575402	+	0.817871i	$0.304846\pi$
$4$	−0.854886	−	3.74550i	−0.427443	−	1.87275i
$5$	−3.20148	−	1.54175i	−1.43175	−	0.689493i	−0.452425	−	0.891803i	$-0.649441\pi$
$5$	−3.20148	−	1.54175i	−1.43175	−	0.689493i	−0.979322	+	0.202310i	$0.935155\pi$
$6$	−6.58762	+	3.17243i	−2.68938	+	1.29514i
$7$	−1.89391	−	1.84746i	−0.715829	−	0.698275i
$7$	−1.89391	−	1.84746i	−0.715829	−	0.698275i
$8$	4.01081	+	1.93150i	1.41804	+	0.682890i
$9$	3.83535	+	4.80937i	1.27845	+	1.60312i
$10$	7.73794	−	3.72639i	2.44695	−	1.17839i
$11$	2.35874	−	2.95776i	0.711186	−	0.891799i	−0.286618	−	0.958045i	$-0.592531\pi$
$11$	2.35874	−	2.95776i	0.711186	−	0.891799i	0.997803	+	0.0662464i	$0.0211023\pi$
$12$	2.58614	−	11.3306i	0.746555	−	3.27087i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$14$	6.34516	−	0.794806i	1.69582	−	0.212421i
$15$	−6.70216	−	8.40424i	−1.73049	−	2.16997i
$16$	−2.77135	+	1.33461i	−0.692837	+	0.333652i
$17$	0.660410	−	2.89344i	0.160173	−	0.701763i	−0.829510	−	0.558491i	$-0.811380\pi$
$17$	0.660410	−	2.89344i	0.160173	−	0.701763i	0.989683	−	0.143272i	$-0.0457624\pi$
$18$	−14.8679			−3.50440
$19$	5.83261			1.33809			0.669047	−	0.743221i	$-0.266703\pi$
$19$	5.83261			1.33809			0.669047	+	0.743221i	$0.266703\pi$
$20$	−3.03773	+	13.3092i	−0.679258	+	2.97602i
$21$	−2.73704	−	7.52121i	−0.597271	−	1.64126i
$22$	2.03468	+	8.91450i	0.433794	+	1.90058i
$23$	−0.526843	−	2.30825i	−0.109854	−	0.481304i	−0.999687	−	0.0250165i	$-0.992036\pi$
$23$	−0.526843	−	2.30825i	−0.109854	−	0.481304i	0.889833	−	0.456287i	$-0.150821\pi$
$24$	8.39645	+	10.5288i	1.71392	+	2.14919i
$25$	4.75504	+	5.96263i	0.951007	+	1.19253i
$26$	−0.537830	−	2.35639i	−0.105477	−	0.462126i
$27$	2.12140	+	9.29444i	0.408263	+	1.78872i
$28$	−5.30060	+	8.67300i	−1.00172	+	1.63904i
$29$	−0.296431	+	1.29875i	−0.0550458	+	0.241171i	−0.994965	−	0.100227i	$-0.968043\pi$
$29$	−0.296431	+	1.29875i	−0.0550458	+	0.241171i	0.939919	+	0.341398i	$0.110900\pi$
$30$	25.9812			4.74350
$31$	4.73839			0.851039			0.425520	−	0.904949i	$-0.360091\pi$
$31$	4.73839			0.851039			0.425520	+	0.904949i	$0.360091\pi$
$32$	−0.326831	+	1.43194i	−0.0577762	+	0.253134i
$33$	10.3111	−	4.96555i	1.79493	−	0.864392i
$34$	4.47246	+	5.60829i	0.767020	+	0.961813i
$35$	3.21498	+	8.83455i	0.543430	+	1.49331i
$36$	14.7347	−	18.4768i	2.45579	−	3.07946i
$37$	2.21152	−	9.68930i	0.363572	−	1.59291i	−0.380480	−	0.924789i	$-0.624241\pi$
$37$	2.21152	−	9.68930i	0.363572	−	1.59291i	0.744051	−	0.668122i	$-0.232902\pi$
$38$	−8.78955	+	11.0217i	−1.42585	+	1.78796i
$39$	−2.72555	+	1.31256i	−0.436437	+	0.210177i
$40$	−9.86263	−	12.3674i	−1.55942	−	1.95545i
$41$	−7.53879	−	3.63049i	−1.17736	−	0.566987i	−0.260220	−	0.965549i	$-0.583795\pi$
$41$	−7.53879	−	3.63049i	−1.17736	−	0.566987i	−0.917141	+	0.398562i	$0.869509\pi$
$42$	18.3373	+	6.16209i	2.82950	+	0.950831i
$43$	6.15483	−	2.96401i	0.938603	−	0.452007i	0.0989269	−	0.995095i	$-0.468459\pi$
$43$	6.15483	−	2.96401i	0.938603	−	0.452007i	0.839676	+	0.543087i	$0.182745\pi$
$44$	−13.0948	−	6.30610i	−1.97411	−	0.950680i
$45$	−4.86393	−	21.3103i	−0.725072	−	3.17675i
$46$	5.15578	+	2.48289i	0.760178	+	0.366083i
$47$	−3.47606	+	4.35884i	−0.507036	+	0.635803i	−0.967800	−	0.251720i	$-0.919004\pi$
$47$	−3.47606	+	4.35884i	−0.507036	+	0.635803i	0.460765	+	0.887522i	$0.347575\pi$
$48$	−9.30519			−1.34309
$49$	0.173764	+	6.99784i	0.0248234	+	0.999692i
$50$	−18.4331			−2.60684
$51$	5.59779	−	7.01940i	0.783847	−	0.982913i
$52$	3.46136	+	1.66690i	0.480005	+	0.231158i
$53$	−2.18787	−	9.58569i	−0.300527	−	1.31670i	−0.869334	−	0.494225i	$-0.835452\pi$
$53$	−2.18787	−	9.58569i	−0.300527	−	1.31670i	0.568807	−	0.822471i	$-0.307405\pi$
$54$	−20.7604	−	9.99766i	−2.82513	−	1.36051i
$55$	−12.1116	+	5.83263i	−1.63313	+	0.786472i
$56$	−4.02772	−	11.0679i	−0.538226	−	1.47901i
$57$	15.8971	+	7.65563i	2.10562	+	1.01401i
$58$	−2.00750	−	2.51733i	−0.263598	−	0.330541i
$59$	−0.598893	+	0.288412i	−0.0779692	+	0.0375480i	−0.472462	−	0.881351i	$-0.656635\pi$
$59$	−0.598893	+	0.288412i	−0.0779692	+	0.0375480i	0.394493	+	0.918899i	$0.370920\pi$
$60$	−25.7485	+	32.2876i	−3.32412	+	4.16831i
$61$	2.03921	−	8.93435i	0.261094	−	1.14393i	−0.658974	−	0.752166i	$-0.729009\pi$
$61$	2.03921	−	8.93435i	0.261094	−	1.14393i	0.920067	−	0.391760i	$-0.128134\pi$
$62$	−7.14059	+	8.95401i	−0.906855	+	1.13716i
$63$	1.62135	−	16.1942i	0.204271	−	2.04027i
$64$	−6.04905	−	7.58526i	−0.756131	−	0.948158i
$65$	3.20148	−	1.54175i	0.397095	−	0.191231i
$66$	−6.15516	+	26.9675i	−0.757648	+	3.31947i
$67$	9.36195			1.14374			0.571872	−	0.820343i	$-0.306217\pi$
$67$	9.36195			1.14374			0.571872	+	0.820343i	$0.306217\pi$
$68$	−11.4020			−1.38269
$69$	1.59377	−	6.98276i	0.191867	−	0.840626i
$70$	−21.5393	−	7.23811i	−2.57444	−	0.865119i
$71$	0.824749	+	3.61346i	0.0978797	+	0.428839i	0.999996	−	0.00265308i	$-0.000844504\pi$
$71$	0.824749	+	3.61346i	0.0978797	+	0.428839i	−0.902117	+	0.431492i	$0.857987\pi$
$72$	6.09353	+	26.6975i	0.718129	+	3.14633i
$73$	−8.31603	−	10.4280i	−0.973318	−	1.22050i	−0.975386	−	0.220504i	$-0.929230\pi$
$73$	−8.31603	−	10.4280i	−0.973318	−	1.22050i	0.00206860	−	0.999998i	$-0.499342\pi$
$74$	14.9770	+	18.7805i	1.74104	+	2.18319i
$75$	5.13381	+	22.4927i	0.592801	+	2.59723i
$76$	−4.98622	−	21.8461i	−0.571959	−	2.50591i
$77$	−9.93158	+	1.24405i	−1.13181	+	0.141772i
$78$	1.62701	−	7.12838i	0.184222	−	0.807130i
$79$	−2.58168			−0.290461			−0.145231	−	0.989398i	$-0.546392\pi$
$79$	−2.58168			−0.290461			−0.145231	+	0.989398i	$0.546392\pi$
$80$	10.9301			1.22202
$81$	−2.31104	+	10.1253i	−0.256782	+	1.12504i
$82$	18.2212	−	8.77485i	2.01219	−	0.969020i
$83$	4.53782	+	5.69025i	0.498091	+	0.624586i	0.965798	−	0.259297i	$-0.0834910\pi$
$83$	4.53782	+	5.69025i	0.498091	+	0.624586i	−0.467707	+	0.883884i	$0.654920\pi$
$84$	−25.8308	+	16.6814i	−2.81838	+	1.82009i
$85$	−6.57527	+	8.24512i	−0.713188	+	0.894309i
$86$	−3.67411	+	16.0973i	−0.396189	+	1.73582i
$87$	−2.51261	+	3.15072i	−0.269381	+	0.337793i
$88$	15.1734	−	7.30711i	1.61749	−	0.778941i
$89$	8.19722	+	10.2790i	0.868903	+	1.08957i	0.995228	+	0.0975812i	$0.0311106\pi$
$89$	8.19722	+	10.2790i	0.868903	+	1.08957i	−0.126324	+	0.991989i	$0.540318\pi$
$90$	47.5993	+	22.9226i	5.01741	+	2.41626i
$91$	2.62524	−	0.328842i	0.275199	−	0.0344720i
$92$	−8.19516	+	3.94658i	−0.854405	+	0.411460i
$93$	12.9147	+	6.21939i	1.33919	+	0.644921i
$94$	−2.99849	−	13.1373i	−0.309271	−	1.35500i
$95$	−18.6730	−	8.99244i	−1.91581	−	0.922605i
$96$	−2.77030	+	3.47384i	−0.282742	+	0.354548i
$97$	−7.54822			−0.766405			−0.383203	−	0.923664i	$-0.625179\pi$
$97$	−7.54822			−0.766405			−0.383203	+	0.923664i	$0.625179\pi$
$98$	−13.4855	−	10.2172i	−1.36224	−	1.03209i
$99$	23.2716			2.33888
$100$	18.2680	−	22.9074i	1.82680	−	2.29074i
$101$	5.11332	+	2.46245i	0.508794	+	0.245022i	0.670626	−	0.741796i	$-0.266026\pi$
$101$	5.11332	+	2.46245i	0.508794	+	0.245022i	−0.161831	+	0.986818i	$0.551740\pi$
$102$	4.82872	+	21.1560i	0.478115	+	2.09476i
$103$	7.20373	+	3.46913i	0.709805	+	0.341824i	0.753706	−	0.657212i	$-0.228264\pi$
$103$	7.20373	+	3.46913i	0.709805	+	0.341824i	−0.0439012	+	0.999036i	$0.513979\pi$
$104$	−4.01081	+	1.93150i	−0.393292	+	0.189400i
$105$	−2.83326	+	28.2988i	−0.276498	+	2.76168i
$106$	21.4109	+	10.3109i	2.07961	+	1.00149i
$107$	−10.6919	−	13.4072i	−1.03362	−	1.29612i	−0.954163	−	0.299286i	$-0.903252\pi$
$107$	−10.6919	−	13.4072i	−1.03362	−	1.29612i	−0.0794609	−	0.996838i	$-0.525320\pi$
$108$	32.9988	−	15.8914i	3.17531	−	1.52915i
$109$	−7.77739	+	9.75254i	−0.744939	+	0.934124i	−0.999457	−	0.0329437i	$-0.989512\pi$
$109$	−7.77739	+	9.75254i	−0.744939	+	0.934124i	0.254518	+	0.967068i	$0.418083\pi$
$110$	7.22997	−	31.6766i	0.689350	−	3.02024i
$111$	18.7454	−	23.5059i	1.77923	−	2.23108i
$112$	7.71431	+	2.59233i	0.728934	+	0.244952i
$113$	−9.01555	−	11.3051i	−0.848112	−	1.06350i	−0.997208	−	0.0746757i	$-0.976208\pi$
$113$	−9.01555	−	11.3051i	−0.848112	−	1.06350i	0.149096	−	0.988823i	$-0.452364\pi$
$114$	−38.4230	+	18.5035i	−3.59864	+	1.73302i
$115$	−1.87207	+	8.20208i	−0.174572	+	0.764848i
$116$	5.11788			0.475183
$117$	−6.15142			−0.568699
$118$	0.357507	−	1.56634i	0.0329112	−	0.144193i
$119$	−6.59629	+	4.25983i	−0.604681	+	0.390498i
$120$	−10.6483	−	46.6531i	−0.972049	−	4.25882i
$121$	−0.736987	−	3.22895i	−0.0669988	−	0.293541i
$122$	13.8100	+	17.3172i	1.25030	+	1.56783i
$123$	−15.7821	−	19.7902i	−1.42303	−	1.78442i
$124$	−4.05078	−	17.7476i	−0.363771	−	1.59378i
$125$	−2.07677	−	9.09891i	−0.185752	−	0.813831i
$126$	28.1584	+	27.4679i	2.50855	+	2.44703i
$127$	−1.47833	+	6.47700i	−0.131181	+	0.574741i	0.866023	+	0.500005i	$0.166669\pi$
$127$	−1.47833	+	6.47700i	−0.131181	+	0.574741i	−0.997203	+	0.0747359i	$0.976189\pi$
$128$	20.5119			1.81301
$129$	20.6657			1.81952
$130$	−1.91111	+	8.37313i	−0.167616	+	0.734372i
$131$	−9.98166	+	4.80691i	−0.872101	+	0.419982i	−0.815733	−	0.578428i	$-0.803666\pi$
$131$	−9.98166	+	4.80691i	−0.872101	+	0.419982i	−0.0563680	+	0.998410i	$0.517952\pi$
$132$	−27.4133	−	34.3752i	−2.38602	−	2.99197i
$133$	−11.0464	−	10.7755i	−0.957846	−	0.934357i
$134$	−14.1081	+	17.6910i	−1.21876	+	1.52827i
$135$	7.53812	−	33.0266i	0.648778	−	2.84248i
$136$	8.23748	−	10.3295i	0.706358	−	0.885745i
$137$	0.390069	−	0.187847i	0.0333258	−	0.0160489i	−0.417147	−	0.908839i	$-0.636970\pi$
$137$	0.390069	−	0.187847i	0.0333258	−	0.0160489i	0.450472	+	0.892790i	$0.351256\pi$
$138$	10.7934	+	13.5345i	0.918795	+	1.15213i
$139$	5.27729	+	2.54141i	0.447614	+	0.215560i	0.644091	−	0.764949i	$-0.277236\pi$
$139$	5.27729	+	2.54141i	0.447614	+	0.215560i	−0.196477	+	0.980508i	$0.562950\pi$
$140$	30.3414	−	19.5942i	2.56432	−	1.65602i
$141$	−15.1954	+	7.31772i	−1.27968	+	0.616263i
$142$	−8.07114	−	3.88685i	−0.677315	−	0.326178i
$143$	0.841823	+	3.68827i	0.0703968	+	0.308429i
$144$	−17.0477	−	8.20975i	−1.42064	−	0.684146i
$145$	2.95136	−	3.70089i	0.245098	−	0.307343i
$146$	32.2375			2.66799
$147$	−8.71145	+	19.3010i	−0.718509	+	1.59192i
$148$	−38.1819			−3.13853
$149$	−9.01865	+	11.3090i	−0.738836	+	0.926472i	−0.999238	−	0.0390289i	$-0.987574\pi$
$149$	−9.01865	+	11.3090i	−0.738836	+	0.926472i	0.260402	+	0.965500i	$0.416145\pi$
$150$	−50.2404	−	24.1945i	−4.10211	−	1.97547i
$151$	1.09652	+	4.80418i	0.0892338	+	0.390959i	0.999746	−	0.0225227i	$-0.00716980\pi$
$151$	1.09652	+	4.80418i	0.0892338	+	0.390959i	−0.910513	+	0.413481i	$0.864313\pi$
$152$	23.3935	+	11.2657i	1.89746	+	0.913770i
$153$	16.4486	−	7.92121i	1.32979	−	0.640392i
$154$	12.6157	−	20.6422i	1.01660	−	1.66340i
$155$	−15.1699	−	7.30542i	−1.21847	−	0.586785i
$156$	7.24621	+	9.08646i	0.580161	+	0.727499i
$157$	−13.7057	+	6.60031i	−1.09383	+	0.526762i	−0.891714	−	0.452599i	$-0.850497\pi$
$157$	−13.7057	+	6.60031i	−1.09383	+	0.526762i	−0.202118	+	0.979361i	$0.564783\pi$
$158$	3.89050	−	4.87854i	0.309512	−	0.388115i
$159$	6.61860	−	28.9980i	0.524889	−	2.29969i
$160$	3.25405	−	4.08044i	0.257255	−	0.322587i
$161$	−3.26662	+	5.34493i	−0.257445	+	0.421240i
$162$	−15.6509	−	19.6256i	−1.22965	−	1.54194i
$163$	3.38668	−	1.63094i	0.265265	−	0.127745i	−0.296524	−	0.955025i	$-0.595827\pi$
$163$	3.38668	−	1.63094i	0.265265	−	0.127745i	0.561789	+	0.827280i	$0.310113\pi$
$164$	−7.15320	+	31.3402i	−0.558571	+	2.44726i
$165$	−40.6664			−3.16587
$166$	−17.5911			−1.36533
$167$	2.45446	−	10.7537i	0.189932	−	0.832147i	−0.786718	−	0.617312i	$-0.788222\pi$
$167$	2.45446	−	10.7537i	0.189932	−	0.832147i	0.976650	−	0.214835i	$-0.0689213\pi$
$168$	3.54950	−	35.4527i	0.273850	−	2.73524i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	−5.67191	−	24.8502i	−0.435015	−	1.90593i
$171$	22.3701	+	28.0512i	1.71068	+	2.14513i
$172$	−16.3634	−	20.5190i	−1.24770	−	1.56456i
$173$	−0.872637	−	3.82327i	−0.0663454	−	0.290678i	0.930861	−	0.365373i	$-0.119059\pi$
$173$	−0.872637	−	3.82327i	−0.0663454	−	0.290678i	−0.997206	+	0.0746953i	$0.976202\pi$
$174$	−2.16741	−	9.49606i	−0.164311	−	0.719894i
$175$	2.01014	−	20.0774i	0.151952	−	1.51771i
$176$	−2.58942	+	11.3450i	−0.195185	+	0.855160i
$177$	−2.01087			−0.151146
$178$	−31.7769			−2.38178
$179$	3.56766	−	15.6309i	0.266659	−	1.16831i	−0.647213	−	0.762309i	$-0.724066\pi$
$179$	3.56766	−	15.6309i	0.266659	−	1.16831i	0.913872	−	0.406002i	$-0.133077\pi$
$180$	−75.6596	+	36.4357i	−5.63933	+	2.71576i
$181$	6.17846	+	7.74755i	0.459242	+	0.575871i	0.956500	−	0.291732i	$-0.0942314\pi$
$181$	6.17846	+	7.74755i	0.459242	+	0.575871i	−0.497259	+	0.867602i	$0.665660\pi$
$182$	−3.33474	+	5.45640i	−0.247187	+	0.404455i
$183$	17.2848	−	21.6744i	1.27773	−	1.60222i
$184$	2.34533	−	10.2756i	0.172900	−	0.757524i
$185$	−22.0187	+	27.6105i	−1.61884	+	2.02997i
$186$	−31.2147	+	15.0322i	−2.28877	+	1.10221i
$187$	−7.00039	−	8.77821i	−0.511919	−	0.641926i
$188$	19.2977	+	9.29328i	1.40743	+	0.677782i
$189$	13.1534	−	21.5220i	0.956769	−	1.56549i
$190$	45.1324	−	21.7346i	3.27425	−	1.57679i
$191$	16.5579	+	7.97388i	1.19809	+	0.576970i	0.923131	−	0.384486i	$-0.125621\pi$
$191$	16.5579	+	7.97388i	1.19809	+	0.576970i	0.274959	+	0.961456i	$0.411336\pi$
$192$	−6.53089	−	28.6137i	−0.471327	−	2.06502i
$193$	−9.09181	−	4.37839i	−0.654443	−	0.315163i	0.0770348	−	0.997028i	$-0.475455\pi$
$193$	−9.09181	−	4.37839i	−0.654443	−	0.315163i	−0.731478	+	0.681865i	$0.761169\pi$
$194$	11.3749	−	14.2637i	0.816671	−	1.02407i
$195$	10.7494			0.769783
$196$	26.0619	−	6.63319i	1.86156	−	0.473799i
$197$	26.1899			1.86595			0.932975	−	0.359940i	$-0.117203\pi$
$197$	26.1899			1.86595			0.932975	+	0.359940i	$0.117203\pi$
$198$	−35.0695	+	43.9757i	−2.49228	+	3.12522i
$199$	21.3578	+	10.2854i	1.51402	+	0.729111i	0.992282	−	0.123998i	$-0.0395716\pi$
$199$	21.3578	+	10.2854i	1.51402	+	0.729111i	0.521733	+	0.853109i	$0.325286\pi$
$200$	7.55471	+	33.0993i	0.534199	+	2.34048i
$201$	25.5164	+	12.2881i	1.79979	+	0.866734i
$202$	−12.3588	+	5.95170i	−0.869564	+	0.418760i
$203$	2.96080	−	1.91206i	0.207807	−	0.134200i
$204$	−31.0766	−	14.9657i	−2.17580	−	1.04781i
$205$	18.5380	+	23.2459i	1.29475	+	1.62356i
$206$	−17.4113	+	8.38485i	−1.21310	+	0.584200i
$207$	9.08061	−	11.3867i	0.631146	−	0.791433i
$208$	0.684466	−	2.99884i	0.0474592	−	0.207932i
$209$	13.7576	−	17.2515i	0.951633	−	1.19331i
$210$	−49.2060	−	47.9994i	−3.39554	−	3.31227i
$211$	11.4103	+	14.3081i	0.785517	+	0.985007i	0.999966	+	0.00827221i	$0.00263315\pi$
$211$	11.4103	+	14.3081i	0.785517	+	0.985007i	−0.214449	+	0.976735i	$0.568795\pi$
$212$	−34.0328	+	16.3893i	−2.33738	+	1.12562i
$213$	−2.49497	+	10.9312i	−0.170953	+	0.748993i
$214$	41.4476			2.83330
$215$	−24.2744			−1.65550
$216$	−9.44374	+	41.3757i	−0.642565	+	2.81526i
$217$	−8.97406	−	8.75399i	−0.609199	−	0.594260i
$218$	−6.70888	−	29.3935i	−0.454383	−	1.99078i
$219$	−8.97846	−	39.3372i	−0.606708	−	2.65816i
$220$	32.2002	+	40.3777i	2.17093	+	2.72227i
$221$	1.85043	+	2.32036i	0.124473	+	0.156084i
$222$	16.1700	+	70.8453i	1.08526	+	4.75483i
$223$	3.60707	+	15.8036i	0.241547	+	1.05829i	0.939609	+	0.342250i	$0.111189\pi$
$223$	3.60707	+	15.8036i	0.241547	+	1.05829i	−0.698062	+	0.716037i	$0.745954\pi$
$224$	3.26445	−	2.10816i	0.218115	−	0.140857i
$225$	−10.4393	+	45.7375i	−0.695953	+	3.04917i
$226$	34.9492			2.32479
$227$	6.17533			0.409871			0.204935	−	0.978775i	$-0.434302\pi$
$227$	6.17533			0.409871			0.204935	+	0.978775i	$0.434302\pi$
$228$	15.0840	−	66.0872i	0.998960	−	4.37673i
$229$	0.490451	−	0.236189i	0.0324099	−	0.0156078i	−0.417609	−	0.908627i	$-0.637132\pi$
$229$	0.490451	−	0.236189i	0.0324099	−	0.0156078i	0.450019	+	0.893019i	$0.351417\pi$
$230$	−12.6781	−	15.8979i	−0.835971	−	1.04827i
$231$	−28.7019	−	9.64504i	−1.88845	−	0.634597i
$232$	−3.69746	+	4.63647i	−0.242750	+	0.304399i
$233$	0.645637	−	2.82872i	0.0422971	−	0.185316i	−0.949366	−	0.314171i	$-0.898273\pi$
$233$	0.645637	−	2.82872i	0.0422971	−	0.185316i	0.991663	+	0.128856i	$0.0411305\pi$
$234$	9.26998	−	11.6242i	0.605998	−	0.759897i
$235$	17.8488	−	8.59553i	1.16433	−	0.560711i
$236$	1.59223	+	1.99660i	0.103645	+	0.129967i
$237$	−7.03649	−	3.38860i	−0.457069	−	0.220113i
$238$	1.89068	−	18.8843i	0.122555	−	1.22409i
$239$	−11.7324	+	5.65002i	−0.758905	+	0.365469i	−0.772979	−	0.634432i	$-0.781234\pi$
$239$	−11.7324	+	5.65002i	−0.758905	+	0.365469i	0.0140740	+	0.999901i	$0.495520\pi$
$240$	29.7904	+	14.3463i	1.92296	+	0.926050i
$241$	−1.62177	−	7.10545i	−0.104468	−	0.457702i	−0.999921	−	0.0125475i	$-0.996006\pi$
$241$	−1.62177	−	7.10545i	−0.104468	−	0.457702i	0.895454	−	0.445155i	$-0.146851\pi$
$242$	7.21229	+	3.47326i	0.463624	+	0.223269i
$243$	−1.75685	+	2.20302i	−0.112702	+	0.141324i
$244$	−35.2069			−2.25389
$245$	10.2326	−	22.6714i	0.653739	−	1.44842i
$246$	61.1801			3.90070
$247$	−3.63657	+	4.56012i	−0.231390	+	0.290153i
$248$	19.0048	+	9.15221i	1.20680	+	0.581166i
$249$	4.89929	+	21.4652i	0.310480	+	1.36030i
$250$	20.3236	+	9.78733i	1.28538	+	0.619005i
$251$	−3.91898	+	1.88728i	−0.247364	+	0.119124i	−0.553458	−	0.832877i	$-0.686692\pi$
$251$	−3.91898	+	1.88728i	−0.247364	+	0.119124i	0.306094	+	0.952001i	$0.400978\pi$
$252$	−62.0413	+	7.77141i	−3.90824	+	0.489553i
$253$	−8.06994	−	3.88628i	−0.507353	−	0.244328i
$254$	−10.0116	−	12.5542i	−0.628186	−	0.787720i
$255$	−28.7434	+	13.8421i	−1.79998	+	0.866825i
$256$	−18.8126	+	23.5903i	−1.17579	+	1.47439i
$257$	−4.34868	+	19.0528i	−0.271263	+	1.18848i	0.637260	+	0.770649i	$0.280068\pi$
$257$	−4.34868	+	19.0528i	−0.271263	+	1.18848i	−0.908524	+	0.417834i	$0.862790\pi$
$258$	−31.1426	+	39.0515i	−1.93885	+	2.43124i
$259$	−22.0890	+	14.2649i	−1.37255	+	0.886380i
$260$	−8.51154	−	10.6731i	−0.527863	−	0.661920i
$261$	−7.38308	+	3.55550i	−0.457001	+	0.220080i
$262$	5.95851	−	26.1060i	0.368118	−	1.61283i
$263$	−7.44234			−0.458914			−0.229457	−	0.973319i	$-0.573695\pi$
$263$	−7.44234			−0.458914			−0.229457	+	0.973319i	$0.573695\pi$
$264$	50.9468			3.13556
$265$	−7.77433	+	34.0616i	−0.477573	+	2.09239i
$266$	37.0089	−	4.63579i	2.26916	−	0.284239i
$267$	8.85018	+	38.7752i	0.541622	+	2.37300i
$268$	−8.00340	−	35.0652i	−0.488885	−	2.14195i
$269$	9.70450	+	12.1691i	0.591694	+	0.741961i	0.984058	−	0.177849i	$-0.0569140\pi$
$269$	9.70450	+	12.1691i	0.591694	+	0.741961i	−0.392364	+	0.919810i	$0.628343\pi$
$270$	51.0500	+	64.0146i	3.10680	+	3.89581i
$271$	−1.28297	−	5.62104i	−0.0779347	−	0.341454i	0.920896	−	0.389809i	$-0.127459\pi$
$271$	−1.28297	−	5.62104i	−0.0779347	−	0.341454i	−0.998830	+	0.0483554i	$0.984602\pi$
$272$	2.03140	+	8.90013i	0.123171	+	0.539649i
$273$	7.58683	+	2.54949i	0.459176	+	0.154302i
$274$	−0.232850	+	1.02018i	−0.0140670	+	0.0616315i
$275$	28.8519			1.73984
$276$	−27.5164			−1.65629
$277$	6.30180	−	27.6100i	0.378639	−	1.65892i	−0.323006	−	0.946397i	$-0.604693\pi$
$277$	6.30180	−	27.6100i	0.378639	−	1.65892i	0.701644	−	0.712527i	$-0.252450\pi$
$278$	−12.7551	+	6.14256i	−0.765003	+	0.368406i
$279$	18.1734	+	22.7887i	1.08801	+	1.36432i
$280$	−4.16931	+	41.6435i	−0.249164	+	2.48867i
$281$	−10.0207	+	12.5656i	−0.597785	+	0.749599i	−0.985031	−	0.172378i	$-0.944855\pi$
$281$	−10.0207	+	12.5656i	−0.597785	+	0.749599i	0.387246	+	0.921976i	$0.373426\pi$
$282$	9.07084	−	39.7419i	0.540161	−	2.36660i
$283$	0.921935	−	1.15607i	0.0548033	−	0.0687212i	−0.753674	−	0.657248i	$-0.771720\pi$
$283$	0.921935	−	1.15607i	0.0548033	−	0.0687212i	0.808478	+	0.588527i	$0.200292\pi$
$284$	12.8292	−	6.17819i	0.761270	−	0.366608i
$285$	−39.0911	−	49.0187i	−2.31556	−	2.90362i
$286$	−8.23823	−	3.96732i	−0.487137	−	0.234593i
$287$	7.57057	+	20.8034i	0.446877	+	1.22799i
$288$	−8.14026	+	3.92014i	−0.479669	+	0.230997i
$289$	7.38059	+	3.55430i	0.434152	+	0.209077i
$290$	2.54588	+	11.1542i	0.149499	+	0.655000i
$291$	−20.5730	−	9.90745i	−1.20601	−	0.580785i
$292$	−31.9487	+	40.0624i	−1.86966	+	2.34448i
$293$	−6.05342			−0.353645			−0.176822	−	0.984243i	$-0.556582\pi$
$293$	−6.05342			−0.353645			−0.176822	+	0.984243i	$0.556582\pi$
$294$	−23.3448	−	45.5478i	−1.36150	−	2.65640i
$295$	2.36200			0.137521
$296$	27.5849	−	34.5904i	1.60334	−	2.01053i
$297$	32.4945	+	15.6485i	1.88552	+	0.908021i
$298$	−7.77960	−	34.0846i	−0.450660	−	1.97447i
$299$	2.13314	+	1.02727i	0.123363	+	0.0594085i
$300$	79.8576	−	38.4574i	4.61058	−	2.22034i
$301$	−17.1326	−	5.75726i	−0.987505	−	0.331843i
$302$	−10.7308	−	5.16767i	−0.617486	−	0.297366i
$303$	10.7045	+	13.4230i	0.614958	+	0.771133i
$304$	−16.1642	+	7.78426i	−0.927080	+	0.446458i
$305$	−20.3030	+	25.4592i	−1.16255	+	1.45779i
$306$	−9.81891	+	43.0195i	−0.561310	+	2.45926i
$307$	−19.7805	+	24.8040i	−1.12894	+	1.41564i	−0.232427	+	0.972614i	$0.574667\pi$
$307$	−19.7805	+	24.8040i	−1.12894	+	1.41564i	−0.896509	+	0.443026i	$0.853905\pi$
$308$	13.1500	+	36.1352i	0.749288	+	2.05900i
$309$	15.0807	+	18.9106i	0.857911	+	1.07579i
$310$	36.6653	−	17.6571i	2.08245	−	1.00286i
$311$	4.40556	−	19.3020i	0.249816	−	1.09452i	−0.681933	−	0.731415i	$-0.738860\pi$
$311$	4.40556	−	19.3020i	0.249816	−	1.09452i	0.931749	−	0.363102i	$-0.118282\pi$
$312$	−13.4669			−0.762411
$313$	−0.428568			−0.0242241			−0.0121121	−	0.999927i	$-0.503855\pi$
$313$	−0.428568			−0.0242241			−0.0121121	+	0.999927i	$0.503855\pi$
$314$	8.18156	−	35.8457i	0.461712	−	2.02289i
$315$	−30.1581	+	49.3456i	−1.69922	+	2.78031i
$316$	2.20704	+	9.66968i	0.124156	+	0.543962i
$317$	1.31378	+	5.75604i	0.0737892	+	0.323292i	0.998328	−	0.0577952i	$-0.0184070\pi$
$317$	1.31378	+	5.75604i	0.0737892	+	0.323292i	−0.924539	+	0.381087i	$0.875550\pi$
$318$	44.8228	+	56.2060i	2.51354	+	3.15187i
$319$	3.14218	+	3.94017i	0.175929	+	0.220607i
$320$	7.67131	+	33.6102i	0.428839	+	1.87887i
$321$	−11.5436	−	50.5757i	−0.644300	−	2.82286i
$322$	−5.17752	−	14.2275i	−0.288532	−	0.792866i
$323$	3.85191	−	16.8763i	0.214326	−	0.939025i
$324$	39.9001			2.21667
$325$	−7.62649			−0.423041
$326$	−2.02167	+	8.85751i	−0.111970	+	0.490572i
$327$	−33.9984	+	16.3728i	−1.88012	+	0.905417i
$328$	−23.2244	−	29.1224i	−1.28235	−	1.60802i
$329$	14.6361	−	1.83335i	0.806916	−	0.101076i
$330$	61.2829	−	76.8463i	3.37351	−	4.23025i
$331$	6.01407	−	26.3494i	0.330563	−	1.44829i	−0.487479	−	0.873134i	$-0.662084\pi$
$331$	6.01407	−	26.3494i	0.330563	−	1.44829i	0.818043	−	0.575158i	$-0.195059\pi$
$332$	17.4335	−	21.8609i	0.956789	−	1.19978i
$333$	55.0814	−	26.5258i	3.01844	−	1.45361i
$334$	16.6222	+	20.8436i	0.909528	+	1.14051i
$335$	−29.9721	−	14.4338i	−1.63755	−	0.788603i
$336$	17.6232	+	17.1910i	0.961422	+	0.937845i
$337$	−3.72207	+	1.79246i	−0.202754	+	0.0976413i	−0.532505	−	0.846427i	$-0.678749\pi$
$337$	−3.72207	+	1.79246i	−0.202754	+	0.0976413i	0.329751	+	0.944068i	$0.393035\pi$
$338$	2.17763	+	1.04869i	0.118447	+	0.0570413i
$339$	−9.73370	−	42.6461i	−0.528662	−	2.31622i
$340$	36.5032	+	17.5790i	1.97967	+	0.953357i
$341$	11.1766	−	14.0150i	0.605247	−	0.758956i
$342$	−86.7187			−4.68921
$343$	12.5992	−	13.5743i	0.680291	−	0.732942i
$344$	30.4109			1.63964
$345$	−15.8681	+	19.8980i	−0.854311	+	1.07127i
$346$	8.53979	+	4.11254i	0.459102	+	0.221092i
$347$	5.07912	+	22.2531i	0.272661	+	1.19461i	0.906858	+	0.421436i	$0.138474\pi$
$347$	5.07912	+	22.2531i	0.272661	+	1.19461i	−0.634197	+	0.773172i	$0.718669\pi$
$348$	13.9490	+	6.71749i	0.747746	+	0.360096i
$349$	−16.4980	+	7.94502i	−0.883118	+	0.425287i	−0.819762	−	0.572704i	$-0.805894\pi$
$349$	−16.4980	+	7.94502i	−0.883118	+	0.425287i	−0.0633554	+	0.997991i	$0.520180\pi$
$350$	34.9106	+	34.0545i	1.86605	+	1.82029i
$351$	−8.58935	−	4.13641i	−0.458466	−	0.220785i
$352$	3.46443	+	4.34426i	0.184655	+	0.231550i
$353$	12.0820	−	5.81838i	0.643059	−	0.309681i	−0.0837844	−	0.996484i	$-0.526701\pi$
$353$	12.0820	−	5.81838i	0.643059	−	0.309681i	0.726844	+	0.686803i	$0.240986\pi$
$354$	3.03031	−	3.79989i	0.161059	−	0.201962i
$355$	2.93064	−	12.8400i	0.155542	−	0.681476i
$356$	31.4923	−	39.4900i	1.66909	−	2.09297i
$357$	−23.5698	+	2.95239i	−1.24744	+	0.156257i
$358$	24.1611	+	30.2970i	1.27695	+	1.60125i
$359$	13.2019	−	6.35769i	0.696768	−	0.335546i	−0.0517499	−	0.998660i	$-0.516480\pi$
$359$	13.2019	−	6.35769i	0.696768	−	0.335546i	0.748518	+	0.663114i	$0.230766\pi$
$360$	21.6526	−	94.8662i	1.14119	−	4.99989i
$361$	15.0194			0.790493
$362$	−23.9511			−1.25884
$363$	2.22948	−	9.76801i	0.117018	−	0.512687i
$364$	−3.47595	−	9.55170i	−0.182190	−	0.500645i
$365$	10.5463	+	46.2062i	0.552017	+	2.41854i
$366$	14.9101	+	65.3253i	0.779362	+	3.41461i
$367$	−2.70401	−	3.39072i	−0.141148	−	0.176994i	0.706233	−	0.707980i	$-0.250393\pi$
$367$	−2.70401	−	3.39072i	−0.141148	−	0.176994i	−0.847381	+	0.530986i	$0.821822\pi$
$368$	4.54068	+	5.69383i	0.236699	+	0.296811i
$369$	−11.4535	−	50.1811i	−0.596246	−	2.61232i
$370$	−18.9936	−	83.2162i	−0.987428	−	4.32621i
$371$	−13.5656	+	22.1964i	−0.704290	+	1.15238i
$372$	12.2541	−	53.6889i	0.635348	−	2.78364i
$373$	−14.9849			−0.775887			−0.387943	−	0.921683i	$-0.626814\pi$
$373$	−14.9849			−0.775887			−0.387943	+	0.921683i	$0.626814\pi$
$374$	27.1373			1.40324
$375$	6.28249	−	27.5254i	0.324426	−	1.42140i
$376$	−22.3609	+	10.7685i	−1.15318	+	0.555341i
$377$	−0.830580	−	1.04151i	−0.0427771	−	0.0536407i
$378$	20.8479	+	57.2886i	1.07230	+	2.94661i
$379$	−5.92176	+	7.42566i	−0.304181	+	0.381430i	−0.910304	−	0.413940i	$-0.864152\pi$
$379$	−5.92176	+	7.42566i	−0.304181	+	0.381430i	0.606124	+	0.795371i	$0.292724\pi$
$380$	−17.7179	+	77.6273i	−0.908910	+	3.98220i
$381$	−12.5307	+	15.7130i	−0.641967	+	0.805001i
$382$	−40.0203	+	19.2728i	−2.04762	+	0.986080i
$383$	−1.86740	−	2.34164i	−0.0954196	−	0.119652i	0.731829	−	0.681488i	$-0.238667\pi$
$383$	−1.86740	−	2.34164i	−0.0954196	−	0.119652i	−0.827249	+	0.561836i	$0.810095\pi$
$384$	55.9061	+	26.9230i	2.85295	+	1.37391i
$385$	33.7138	+	11.3292i	1.71821	+	0.577392i
$386$	21.9748	−	10.5825i	1.11849	−	0.538635i
$387$	37.8610	+	18.2329i	1.92458	+	0.926829i
$388$	6.45287	+	28.2719i	0.327595	+	1.43529i
$389$	−3.14675	−	1.51539i	−0.159546	−	0.0768335i	0.352406	−	0.935847i	$-0.385363\pi$
$389$	−3.14675	−	1.51539i	−0.159546	−	0.0768335i	−0.511953	+	0.859014i	$0.671078\pi$
$390$	−16.1990	+	20.3129i	−0.820270	+	1.02859i
$391$	−7.02673			−0.355357
$392$	−12.8194	+	28.4026i	−0.647479	+	1.43455i
$393$	−33.5148			−1.69060
$394$	−39.4672	+	49.4904i	−1.98833	+	2.49329i
$395$	8.26520	+	3.98031i	0.415867	+	0.200271i
$396$	−19.8945	−	87.1636i	−0.999738	−	4.38014i
$397$	33.0592	+	15.9205i	1.65919	+	0.799026i	0.998844	+	0.0480689i	$0.0153067\pi$
$397$	33.0592	+	15.9205i	1.65919	+	0.799026i	0.660351	+	0.750957i	$0.270408\pi$
$398$	−51.6215	+	24.8596i	−2.58755	+	1.24610i
$399$	−15.9641	−	43.8683i	−0.799204	−	2.19616i
$400$	−21.1356	−	10.1784i	−1.05678	−	0.508919i
$401$	−12.1705	−	15.2614i	−0.607767	−	0.762116i	0.378799	−	0.925479i	$-0.376337\pi$
$401$	−12.1705	−	15.2614i	−0.607767	−	0.762116i	−0.986566	+	0.163363i	$0.947766\pi$
$402$	−61.6729	+	29.7001i	−3.07596	+	1.48131i
$403$	−2.95433	+	3.70462i	−0.147166	+	0.184540i
$404$	4.85179	−	21.2571i	0.241385	−	1.05758i
$405$	23.0095	−	28.8530i	1.14335	−	1.43372i
$406$	−0.848648	+	8.47637i	−0.0421177	+	0.420675i
$407$	−23.4423	−	29.3957i	−1.16199	−	1.45709i
$408$	36.0097	−	17.3413i	1.78274	−	0.858524i
$409$	−3.30798	+	14.4932i	−0.163569	+	0.716644i	0.824907	+	0.565268i	$0.191227\pi$
$409$	−3.30798	+	14.4932i	−0.163569	+	0.716644i	−0.988476	+	0.151376i	$0.951630\pi$
$410$	−71.8634			−3.54908
$411$	1.30971			0.0646033
$412$	6.83527	−	29.9473i	0.336750	−	1.47540i
$413$	1.66708	+	0.560208i	0.0820315	+	0.0275660i
$414$	7.83305	+	34.3188i	0.384973	+	1.68668i
$415$	−5.75480	−	25.2134i	−0.282492	−	1.23768i
$416$	−0.915761	−	1.14833i	−0.0448989	−	0.0563014i
$417$	11.0478	+	13.8535i	0.541012	+	0.678408i
$418$	11.8675	+	51.9948i	0.580457	+	2.54315i
$419$	7.23437	+	31.6958i	0.353422	+	1.54844i	0.769219	+	0.638986i	$0.220646\pi$
$419$	7.23437	+	31.6958i	0.353422	+	1.54844i	−0.415797	+	0.909458i	$0.636497\pi$
$420$	108.415	−	13.5803i	5.29013	−	0.662652i
$421$	−4.16589	+	18.2519i	−0.203033	+	0.889545i	0.766044	+	0.642788i	$0.222222\pi$
$421$	−4.16589	+	18.2519i	−0.203033	+	0.889545i	−0.969077	+	0.246757i	$0.920635\pi$
$422$	−44.2325			−2.15321
$423$	−34.2952			−1.66749
$424$	9.73966	−	42.6723i	0.473000	−	2.07235i
$425$	20.3928	−	9.82066i	0.989197	−	0.476372i
$426$	−16.8966	−	21.1876i	−0.818642	−	1.02654i
$427$	−20.3679	+	13.1535i	−0.985674	+	0.636541i
$428$	−41.0764	+	51.5081i	−1.98550	+	2.48974i
$429$	−2.54663	+	11.1575i	−0.122952	+	0.538689i
$430$	36.5806	−	45.8707i	1.76408	−	2.21208i
$431$	8.68038	−	4.18025i	0.418119	−	0.201356i	−0.212982	−	0.977056i	$-0.568318\pi$
$431$	8.68038	−	4.18025i	0.418119	−	0.201356i	0.631101	+	0.775700i	$0.282603\pi$
$432$	−18.2836	−	22.9269i	−0.879669	−	1.10307i
$433$	−11.2454	−	5.41552i	−0.540421	−	0.260253i	0.143700	−	0.989621i	$-0.454100\pi$
$433$	−11.2454	−	5.41552i	−0.540421	−	0.260253i	−0.684121	+	0.729368i	$0.739814\pi$
$434$	30.0658	−	3.76610i	1.44321	−	0.180778i
$435$	12.9017	−	6.21314i	0.618590	−	0.297897i
$436$	43.1770	+	20.7929i	2.06780	+	0.995800i
$437$	−3.07287	−	13.4631i	−0.146995	−	0.644029i
$438$	87.8648	+	42.3135i	4.19834	+	2.02182i
$439$	−22.3594	+	28.0378i	−1.06716	+	1.33817i	−0.129123	+	0.991629i	$0.541216\pi$
$439$	−22.3594	+	28.0378i	−1.06716	+	1.33817i	−0.938034	+	0.346544i	$0.887355\pi$
$440$	−59.8430			−2.85290
$441$	−32.9888	+	27.6749i	−1.57090	+	1.31785i
$442$	−7.17327			−0.341197
$443$	0.908784	−	1.13958i	0.0431776	−	0.0541430i	−0.759774	−	0.650187i	$-0.774690\pi$
$443$	0.908784	−	1.13958i	0.0431776	−	0.0541430i	0.802951	+	0.596044i	$0.203262\pi$
$444$	−104.067	−	50.1159i	−4.93878	−	2.37839i
$445$	−10.3956	−	45.5461i	−0.492798	−	2.15909i
$446$	−35.2994	−	16.9993i	−1.67148	−	0.804940i
$447$	−39.4245	+	18.9858i	−1.86471	+	0.897999i
$448$	−2.55716	+	25.5412i	−0.120815	+	1.20671i
$449$	18.7804	+	9.04418i	0.886304	+	0.426821i	0.820923	−	0.571039i	$-0.193459\pi$
$449$	18.7804	+	9.04418i	0.886304	+	0.426821i	0.0653809	+	0.997860i	$0.479174\pi$
$450$	−70.6974	−	88.6518i	−3.33271	−	4.17908i
$451$	−28.5202	+	13.7346i	−1.34296	+	0.646736i
$452$	−34.6362	+	43.4324i	−1.62915	+	2.04289i
$453$	−3.31713	+	14.5333i	−0.155852	+	0.682833i
$454$	−9.30601	+	11.6694i	−0.436753	+	0.547671i
$455$	−8.91164	−	2.99468i	−0.417784	−	0.140393i
$456$	48.9733	+	61.4105i	2.29338	+	2.87581i
$457$	17.2696	−	8.31659i	0.807837	−	0.389034i	0.0160805	−	0.999871i	$-0.494881\pi$
$457$	17.2696	−	8.31659i	0.807837	−	0.389034i	0.791756	+	0.610837i	$0.209167\pi$
$458$	−0.292773	+	1.28272i	−0.0136804	+	0.0599377i
$459$	28.2939			1.32065
$460$	32.3213			1.50699
$461$	−0.222260	+	0.973785i	−0.0103517	+	0.0453537i	−0.979840	−	0.199784i	$-0.935976\pi$
$461$	−0.222260	+	0.973785i	−0.0103517	+	0.0453537i	0.969488	+	0.245138i	$0.0788331\pi$
$462$	61.4788	−	39.7025i	2.86025	−	1.84713i
$463$	1.58431	+	6.94131i	0.0736291	+	0.322590i	0.998307	−	0.0581594i	$-0.0185232\pi$
$463$	1.58431	+	6.94131i	0.0736291	+	0.322590i	−0.924678	+	0.380749i	$0.875666\pi$
$464$	−0.911809	−	3.99490i	−0.0423297	−	0.185459i
$465$	−31.7574	−	39.8225i	−1.47272	−	1.84673i
$466$	4.37241	+	5.48283i	0.202548	+	0.253987i
$467$	3.28201	+	14.3794i	0.151873	+	0.665400i	0.992340	+	0.123537i	$0.0394238\pi$
$467$	3.28201	+	14.3794i	0.151873	+	0.665400i	−0.840467	+	0.541863i	$0.817719\pi$
$468$	5.25876	+	23.0402i	0.243086	+	1.06503i
$469$	−17.7306	−	17.2958i	−0.818725	−	0.798648i
$470$	−10.6548	+	46.6816i	−0.491468	+	2.15326i
$471$	−46.0188			−2.12043
$472$	−2.95911			−0.136204
$473$	5.75079	−	25.1958i	0.264422	−	1.15851i
$474$	17.0071	−	8.19019i	0.781162	−	0.376188i
$475$	27.7343	+	34.7777i	1.27254	+	1.59571i
$476$	21.5943	+	21.0647i	0.989772	+	0.965500i
$477$	37.7099	−	47.2867i	1.72662	−	2.16511i
$478$	7.00361	−	30.6848i	0.320337	−	1.40349i
$479$	11.9182	−	14.9449i	0.544555	−	0.682851i	−0.431064	−	0.902321i	$-0.641862\pi$
$479$	11.9182	−	14.9449i	0.544555	−	0.682851i	0.975619	+	0.219471i	$0.0704330\pi$
$480$	14.2249	−	6.85034i	0.649274	−	0.312674i
$481$	6.19654	+	7.77022i	0.282538	+	0.354291i
$482$	15.8709	+	7.64305i	0.722902	+	0.348131i
$483$	−15.9188	+	10.2803i	−0.724332	+	0.467768i
$484$	−11.4640	+	5.52077i	−0.521091	+	0.250944i
$485$	24.1655	+	11.6375i	1.09730	+	0.528431i
$486$	−1.51548	−	6.63976i	−0.0687436	−	0.301185i
$487$	12.2992	+	5.92298i	0.557330	+	0.268396i	0.691274	−	0.722593i	$-0.257050\pi$
$487$	12.2992	+	5.92298i	0.557330	+	0.268396i	−0.133944	+	0.990989i	$0.542764\pi$
$488$	25.4356	−	31.8952i	1.15142	−	1.44383i
$489$	11.3713			0.514227
$490$	27.4213	+	53.5014i	1.23877	+	2.41695i
$491$	−7.53143			−0.339889			−0.169944	−	0.985454i	$-0.554359\pi$
$491$	−7.53143			−0.339889			−0.169944	+	0.985454i	$0.554359\pi$
$492$	−60.6322	+	76.0303i	−2.73351	+	3.42771i
$493$	3.56209	+	1.71541i	0.160428	+	0.0772582i
$494$	−3.13695	−	13.7439i	−0.141138	−	0.618367i
$495$	−74.5035	−	35.8790i	−3.34868	−	1.61264i
$496$	−13.1317	+	6.32390i	−0.589631	+	0.283951i
$497$	5.11373	−	8.36725i	0.229382	−	0.375322i
$498$	−47.9454	−	23.0893i	−2.14848	−	1.03466i
$499$	−19.3868	−	24.3103i	−0.867874	−	1.08828i	−0.995339	−	0.0964362i	$-0.969256\pi$
$499$	−19.3868	−	24.3103i	−0.867874	−	1.08828i	0.127465	−	0.991843i	$-0.459316\pi$
$500$	−32.3046	+	15.5571i	−1.44470	+	0.695733i
$501$	20.8046	−	26.0882i	0.929481	−	1.16553i
$502$	2.33942	−	10.2497i	0.104414	−	0.457466i
$503$	−1.89061	+	2.37075i	−0.0842981	+	0.105707i	−0.822192	−	0.569210i	$-0.807249\pi$
$503$	−1.89061	+	2.37075i	−0.0842981	+	0.105707i	0.737894	+	0.674917i	$0.235820\pi$
$504$	37.7820	−	61.8201i	1.68295	−	2.75369i
$505$	−12.5737	−	15.7669i	−0.559523	−	0.701620i
$506$	19.5049	−	9.39308i	0.867100	−	0.417573i
$507$	0.673155	−	2.94929i	0.0298959	−	0.130982i
$508$	25.5234			1.13242
$509$	0.640744			0.0284005			0.0142002	−	0.999899i	$-0.495480\pi$
$509$	0.640744			0.0284005			0.0142002	+	0.999899i	$0.495480\pi$
$510$	17.1583	−	75.1753i	0.759781	−	3.32882i
$511$	−3.51550	+	35.1132i	−0.155517	+	1.55331i
$512$	−7.09934	−	31.1043i	−0.313750	−	1.37463i
$513$	12.3733	+	54.2109i	0.546293	+	2.39347i
$514$	−29.4503	−	36.9296i	−1.29900	−	1.62889i
$515$	−17.7141	−	22.2127i	−0.780575	−	0.978810i
$516$	−17.6668	−	77.4035i	−0.777740	−	3.40750i
$517$	4.69331	+	20.5627i	0.206411	+	0.904347i
$518$	6.33133	−	63.2379i	0.278183	−	2.77851i
$519$	2.63984	−	11.5659i	0.115876	−	0.507687i
$520$	15.8184			0.693684
$521$	−18.0075			−0.788922			−0.394461	−	0.918913i	$-0.629069\pi$
$521$	−18.0075			−0.788922			−0.394461	+	0.918913i	$0.629069\pi$
$522$	4.40730	−	19.3097i	0.192902	−	0.845160i
$523$	−19.3066	+	9.29759i	−0.844221	+	0.406555i	−0.805429	−	0.592692i	$-0.798065\pi$
$523$	−19.3066	+	9.29759i	−0.844221	+	0.406555i	−0.0387915	+	0.999247i	$0.512351\pi$
$524$	26.5375	+	33.2769i	1.15929	+	1.45371i
$525$	31.8314	−	52.0836i	1.38924	−	2.27311i
$526$	11.2154	−	14.0636i	0.489013	−	0.613203i
$527$	3.12928	−	13.7103i	0.136313	−	0.597228i
$528$	−21.9485	+	27.5225i	−0.955185	+	1.19776i
$529$	15.6718	−	7.54715i	0.681384	−	0.328137i
$530$	−52.6497	−	66.0206i	−2.28696	−	2.86775i
$531$	−3.68404	−	1.77414i	−0.159874	−	0.0769912i
$532$	−30.9163	+	50.5862i	−1.34039	+	2.19319i
$533$	7.53879	−	3.63049i	0.326541	−	0.157254i
$534$	−86.6095	−	41.7089i	−3.74796	−	1.80492i
$535$	13.5593	+	59.4072i	0.586220	+	2.56840i
$536$	37.5490	+	18.0826i	1.62187	+	0.781051i
$537$	30.2403	−	37.9201i	1.30496	−	1.63637i
$538$	−37.6199			−1.62191
$539$	21.1078	+	15.9921i	0.909178	+	0.688829i
$540$	−130.146			−5.60057
$541$	0.0686706	−	0.0861102i	0.00295238	−	0.00370217i	−0.780353	−	0.625339i	$-0.784961\pi$
$541$	0.0686706	−	0.0861102i	0.00295238	−	0.00370217i	0.783305	+	0.621637i	$0.213532\pi$
$542$	12.5553	+	6.04633i	0.539298	+	0.259712i
$543$	6.67062	+	29.2259i	0.286264	+	1.25420i
$544$	3.92740	+	1.89134i	0.168386	+	0.0810904i
$545$	39.9352	−	19.2318i	1.71064	−	0.823799i
$546$	−16.2508	+	10.4947i	−0.695471	+	0.449130i
$547$	−33.8805	−	16.3160i	−1.44863	−	0.697621i	−0.466270	−	0.884643i	$-0.654402\pi$
$547$	−33.8805	−	16.3160i	−1.44863	−	0.697621i	−0.982356	+	0.187021i	$0.940117\pi$
$548$	−1.03705	−	1.30042i	−0.0443004	−	0.0555510i
$549$	50.7897	−	24.4590i	2.16765	−	1.04389i
$550$	−43.4789	+	54.5208i	−1.85395	+	2.32477i
$551$	−1.72897	+	7.57509i	−0.0736564	+	0.322710i
$552$	19.8795	−	24.9282i	0.846129	−	1.06101i
$553$	4.88946	+	4.76955i	0.207921	+	0.202822i
$554$	42.6774	+	53.5157i	1.81319	+	2.27366i
$555$	−96.2532	+	46.3531i	−4.08572	+	1.96758i
$556$	5.00737	−	21.9387i	0.212360	−	0.930409i
$557$	25.9053			1.09764			0.548821	−	0.835940i	$-0.315077\pi$
$557$	25.9053			1.09764			0.548821	+	0.835940i	$0.315077\pi$
$558$	−70.4498			−2.98238
$559$	−1.52012	+	6.66007i	−0.0642941	+	0.281691i
$560$	−20.7005	−	20.1929i	−0.874756	−	0.853304i
$561$	−7.55802	−	33.1138i	−0.319100	−	1.39807i
$562$	−8.64398	−	37.8718i	−0.364624	−	1.59752i
$563$	−4.94438	−	6.20005i	−0.208381	−	0.261301i	0.666647	−	0.745373i	$-0.267729\pi$
$563$	−4.94438	−	6.20005i	−0.208381	−	0.261301i	−0.875028	+	0.484072i	$0.839157\pi$
$564$	40.3989	+	50.6586i	1.70110	+	2.13311i
$565$	11.4334	+	50.0930i	0.481006	+	2.10743i
$566$	0.795273	+	3.48432i	0.0334278	+	0.146457i
$567$	23.0831	−	14.9069i	0.969397	−	0.626029i
$568$	−3.67150	+	16.0859i	−0.154053	+	0.674950i
$569$	19.7618			0.828457			0.414228	−	0.910173i	$-0.364051\pi$
$569$	19.7618			0.828457			0.414228	+	0.910173i	$0.364051\pi$
$570$	151.538			6.34725
$571$	2.85368	−	12.5028i	0.119423	−	0.523225i	−0.879460	−	0.475972i	$-0.842096\pi$
$571$	2.85368	−	12.5028i	0.119423	−	0.523225i	0.998883	−	0.0472529i	$-0.0150467\pi$
$572$	13.0948	−	6.30610i	0.547519	−	0.263671i
$573$	34.6633	+	43.4664i	1.44808	+	1.81583i
$574$	−50.7204	−	17.0442i	−2.11703	−	0.711410i
$575$	11.2581	−	14.1172i	0.469494	−	0.588727i
$576$	13.2802	−	58.1842i	0.553341	−	2.42434i
$577$	13.6994	−	17.1785i	0.570314	−	0.715152i	−0.410113	−	0.912035i	$-0.634511\pi$
$577$	13.6994	−	17.1785i	0.570314	−	0.715152i	0.980427	+	0.196883i	$0.0630820\pi$
$578$	−17.8388	+	8.59071i	−0.741996	+	0.357326i
$579$	−19.0333	−	23.8670i	−0.790997	−	0.991879i
$580$	−16.3848	−	7.89050i	−0.680341	−	0.327635i
$581$	1.91831	−	19.1603i	0.0795850	−	0.794902i
$582$	49.7248	−	23.9462i	2.06116	−	0.992601i
$583$	−33.5128	−	16.1389i	−1.38796	−	0.668405i
$584$	−13.2123	−	57.8870i	−0.546731	−	2.39538i
$585$	19.6937	+	9.48397i	0.814233	+	0.392114i
$586$	9.12231	−	11.4390i	0.376839	−	0.472541i
$587$	20.7642			0.857031			0.428516	−	0.903534i	$-0.359037\pi$
$587$	20.7642			0.857031			0.428516	+	0.903534i	$0.359037\pi$
$588$	79.7394	+	16.1286i	3.28840	+	0.665131i
$589$	27.6372			1.13877
$590$	−3.55946	+	4.46342i	−0.146541	+	0.183756i
$591$	71.3818	+	34.3757i	2.93625	+	1.41403i
$592$	6.80255	+	29.8039i	0.279583	+	1.22493i
$593$	−10.1540	−	4.88991i	−0.416975	−	0.200804i	0.213620	−	0.976917i	$-0.431475\pi$
$593$	−10.1540	−	4.88991i	−0.416975	−	0.200804i	−0.630595	+	0.776112i	$0.717189\pi$
$594$	−78.5389	+	37.8223i	−3.22249	+	1.55187i
$595$	27.6855	−	3.46793i	1.13499	−	0.142171i
$596$	50.0679	+	24.1114i	2.05086	+	0.987642i
$597$	44.7116	+	56.0666i	1.82993	+	2.29465i
$598$	−5.15578	+	2.48289i	−0.210836	+	0.101533i
$599$	−13.3431	+	16.7318i	−0.545186	+	0.683641i	−0.975742	−	0.218922i	$-0.929746\pi$
$599$	−13.3431	+	16.7318i	−0.545186	+	0.683641i	0.430556	+	0.902564i	$0.358317\pi$
$600$	−22.8540	+	100.130i	−0.933010	+	4.08778i
$601$	−24.5452	+	30.7787i	−1.00122	+	1.25549i	−0.0345663	+	0.999402i	$0.511005\pi$
$601$	−24.5452	+	30.7787i	−1.00122	+	1.25549i	−0.966654	+	0.256088i	$0.917566\pi$
$602$	36.6976	−	23.6990i	1.49568	−	0.965900i
$603$	35.9063	+	45.0251i	1.46222	+	1.83356i
$604$	17.0567	−	8.21406i	0.694026	−	0.334225i
$605$	−2.61879	+	11.4737i	−0.106469	+	0.466472i
$606$	−41.4965			−1.68568
$607$	−27.3663			−1.11076			−0.555382	−	0.831595i	$-0.687428\pi$
$607$	−27.3663			−1.11076			−0.555382	+	0.831595i	$0.687428\pi$
$608$	−1.90628	+	8.35196i	−0.0773099	+	0.338717i
$609$	10.5795	−	1.32521i	0.428703	−	0.0537001i
$610$	−17.5137	−	76.7323i	−0.709107	−	3.10680i
$611$	−1.24059	−	5.43539i	−0.0501890	−	0.219892i
$612$	−43.7305	−	54.8364i	−1.76770	−	2.21663i
$613$	−30.2559	−	37.9397i	−1.22202	−	1.53237i	−0.766645	−	0.642071i	$-0.778075\pi$
$613$	−30.2559	−	37.9397i	−1.22202	−	1.53237i	−0.455379	−	0.890298i	$-0.650496\pi$
$614$	−17.0629	−	74.7576i	−0.688604	−	3.01697i
$615$	20.0147	+	87.6900i	0.807069	+	3.53600i
$616$	−42.2366	−	14.1933i	−1.70176	−	0.571862i
$617$	−6.50215	+	28.4878i	−0.261767	+	1.14688i	0.657567	+	0.753396i	$0.271586\pi$
$617$	−6.50215	+	28.4878i	−0.261767	+	1.14688i	−0.919334	+	0.393479i	$0.871271\pi$
$618$	−58.4610			−2.35165
$619$	−24.1587			−0.971020			−0.485510	−	0.874231i	$-0.661366\pi$
$619$	−24.1587			−0.971020			−0.485510	+	0.874231i	$0.661366\pi$
$620$	−14.3939	+	63.0640i	−0.578075	+	2.53271i
$621$	20.3363	−	9.79342i	0.816066	−	0.392997i
$622$	29.8355	+	37.4126i	1.19630	+	1.50011i
$623$	3.46528	−	34.6115i	0.138833	−	1.38668i
$624$	5.80169	−	7.27509i	0.232254	−	0.291237i
$625$	1.10573	−	4.84454i	0.0442293	−	0.193781i
$626$	0.645838	−	0.809855i	0.0258129	−	0.0323683i
$627$	60.1405	−	28.9621i	2.40178	−	1.15664i
$628$	36.4383	+	45.6921i	1.45405	+	1.82331i
$629$	−26.5750	−	12.7978i	−1.05961	−	0.510283i
$630$	−47.8000	−	131.351i	−1.90440	−	5.23316i
$631$	20.6896	−	9.96358i	0.823639	−	0.396644i	0.0259135	−	0.999664i	$-0.491751\pi$
$631$	20.6896	−	9.96358i	0.823639	−	0.396644i	0.797726	+	0.603020i	$0.206036\pi$
$632$	−10.3546	−	4.98652i	−0.411885	−	0.198353i
$633$	12.3192	+	53.9740i	0.489645	+	2.14527i
$634$	−12.8569	−	6.19155i	−0.510612	−	0.245898i
$635$	14.7188	−	18.4568i	0.584097	−	0.732435i
$636$	−114.270			−4.53110
$637$	−5.57947	−	4.22723i	−0.221067	−	0.167489i
$638$	−12.1808			−0.482243
$639$	−14.2153	+	17.8254i	−0.562348	+	0.705162i
$640$	−65.6684	−	31.6242i	−2.59577	−	1.25006i
$641$	−7.55230	−	33.0888i	−0.298298	−	1.30693i	−0.872661	−	0.488327i	$-0.837607\pi$
$641$	−7.55230	−	33.0888i	−0.298298	−	1.30693i	0.574363	−	0.818601i	$-0.305250\pi$
$642$	112.968	+	54.4023i	4.45847	+	2.14709i
$643$	3.72894	−	1.79576i	0.147055	−	0.0708180i	−0.358909	−	0.933373i	$-0.616851\pi$
$643$	3.72894	−	1.79576i	0.147055	−	0.0708180i	0.505964	+	0.862555i	$0.331137\pi$
$644$	22.8120	+	7.66580i	0.898920	+	0.302075i
$645$	−66.1610	−	31.8614i	−2.60509	−	1.25454i
$646$	26.0861	+	32.7110i	1.02634	+	1.28700i
$647$	2.89489	−	1.39411i	0.113810	−	0.0548080i	−0.376112	−	0.926574i	$-0.622739\pi$
$647$	2.89489	−	1.39411i	0.113810	−	0.0548080i	0.489922	+	0.871766i	$0.337025\pi$
$648$	−28.8262	+	36.1470i	−1.13240	+	1.41999i
$649$	−0.559578	+	2.45167i	−0.0219653	+	0.0962365i
$650$	11.4929	−	14.4116i	0.450787	−	0.565269i
$651$	−12.9691	−	35.6384i	−0.508301	−	1.39678i
$652$	−9.00392	−	11.2906i	−0.352621	−	0.442172i
$653$	27.3383	−	13.1654i	1.06983	−	0.515203i	0.185778	−	0.982592i	$-0.440519\pi$
$653$	27.3383	−	13.1654i	1.06983	−	0.515203i	0.884052	+	0.467389i	$0.154805\pi$
$654$	20.2952	−	88.9192i	0.793607	−	3.47702i
$655$	39.3672			1.53820
$656$	25.7379			1.00490
$657$	18.2571	−	79.9898i	0.712279	−	3.12070i
$658$	−18.5917	+	30.4203i	−0.724781	+	1.18591i
$659$	1.45966	+	6.39517i	0.0568602	+	0.249121i	0.995368	−	0.0961370i	$-0.0306487\pi$
$659$	1.45966	+	6.39517i	0.0568602	+	0.249121i	−0.938508	+	0.345258i	$0.887792\pi$
$660$	34.7651	+	152.316i	1.35323	+	5.92889i
$661$	6.16058	+	7.72513i	0.239619	+	0.300473i	0.887071	−	0.461634i	$-0.152737\pi$
$661$	6.16058	+	7.72513i	0.239619	+	0.300473i	−0.647452	+	0.762107i	$0.724165\pi$
$662$	40.7288	+	51.0723i	1.58297	+	1.98498i
$663$	1.99783	+	8.75305i	0.0775892	+	0.339940i
$664$	7.20961	+	31.5873i	0.279787	+	1.22583i
$665$	18.7517	+	51.5285i	0.727160	+	1.99819i
$666$	−32.8807	+	144.060i	−1.27410	+	5.58220i
$667$	3.15401			0.122124
$668$	−42.3763			−1.63959
$669$	−10.9119	+	47.8080i	−0.421877	+	1.84836i
$670$	72.4422	−	34.8863i	2.79868	−	1.34778i
$671$	−21.6157	−	27.1053i	−0.834466	−	1.04639i
$672$	11.6645	−	1.46111i	0.449967	−	0.0563637i
$673$	0.746311	−	0.935845i	0.0287682	−	0.0360742i	−0.767239	−	0.641361i	$-0.778370\pi$
$673$	0.746311	−	0.935845i	0.0287682	−	0.0360742i	0.796007	+	0.605287i	$0.206942\pi$
$674$	2.22188	−	9.73468i	0.0855835	−	0.374966i
$675$	−45.3320	+	56.8445i	−1.74483	+	2.18795i
$676$	−3.46136	+	1.66690i	−0.133129	+	0.0641117i
$677$	20.9675	+	26.2924i	0.805845	+	1.01050i	0.999567	+	0.0294409i	$0.00937269\pi$
$677$	20.9675	+	26.2924i	0.805845	+	1.01050i	−0.193722	+	0.981057i	$0.562056\pi$
$678$	95.2557	+	45.8727i	3.65827	+	1.76173i
$679$	14.2956	+	13.9450i	0.548616	+	0.535162i
$680$	−42.2976	+	20.3695i	−1.62204	+	0.781133i
$681$	16.8312	+	8.10546i	0.644971	+	0.310602i
$682$	9.64108	+	42.2403i	0.369176	+	1.61747i
$683$	25.6812	+	12.3674i	0.982665	+	0.473226i	0.855021	−	0.518594i	$-0.173544\pi$
$683$	25.6812	+	12.3674i	0.982665	+	0.473226i	0.127644	+	0.991820i	$0.459258\pi$
$684$	85.9420	−	107.768i	3.28607	−	4.12061i
$685$	−1.53841			−0.0587797
$686$	6.66449	+	44.2643i	0.254451	+	1.69002i
$687$	1.64676			0.0628278
$688$	−13.1014	+	16.4286i	−0.499485	+	0.626335i
$689$	8.85851	+	4.26603i	0.337482	+	0.162523i
$690$	−13.6880	−	59.9712i	−0.521095	−	2.28306i
$691$	13.0880	+	6.30287i	0.497892	+	0.239772i	0.665938	−	0.746007i	$-0.268031\pi$
$691$	13.0880	+	6.30287i	0.497892	+	0.239772i	−0.168046	+	0.985779i	$0.553746\pi$
$692$	−13.5741	+	6.53693i	−0.516009	+	0.248497i
$693$	−44.0742	−	42.9933i	−1.67424	−	1.63318i
$694$	−49.7052	−	23.9367i	−1.88678	−	0.908626i
$695$	−12.9769	−	16.2726i	−0.492243	−	0.617253i
$696$	−16.1632	+	7.78381i	−0.612666	+	0.295045i
$697$	−15.4833	+	19.4155i	−0.586473	+	0.735413i
$698$	9.84842	−	43.1487i	0.372768	−	1.63320i
$699$	5.47257	−	6.86238i	0.206991	−	0.259559i
$700$	−76.9184	+	9.63494i	−2.90724	+	0.364166i
$701$	−15.3565	−	19.2564i	−0.580006	−	0.727305i	0.402108	−	0.915592i	$-0.368278\pi$
$701$	−15.3565	−	19.2564i	−0.580006	−	0.727305i	−0.982114	+	0.188288i	$0.939706\pi$
$702$	20.7604	−	9.99766i	0.783549	−	0.377337i
$703$	12.8989	−	56.5140i	0.486493	−	2.13146i
$704$	−36.7035			−1.38332
$705$	59.9299			2.25709
$706$	−7.21230	+	31.5991i	−0.271438	+	1.18925i
$707$	−5.13488	−	14.1103i	−0.193117	−	0.530673i
$708$	1.71906	+	7.53171i	0.0646064	+	0.283059i
$709$	4.54327	+	19.9054i	0.170626	+	0.747561i	0.985742	+	0.168264i	$0.0538160\pi$
$709$	4.54327	+	19.9054i	0.170626	+	0.747561i	−0.815116	+	0.579298i	$0.803327\pi$
$710$	19.8470	+	24.8874i	0.744846	+	0.934007i
$711$	−9.90163	−	12.4163i	−0.371340	−	0.465646i
$712$	13.0236	+	57.0600i	0.488079	+	2.13841i
$713$	−2.49639	−	10.9374i	−0.0934904	−	0.409608i
$714$	29.9398	−	48.9884i	1.12047	−	1.83334i
$715$	2.99132	−	13.1058i	0.111869	−	0.490129i
$716$	−61.5956			−2.30194
$717$	−39.3932			−1.47116
$718$	−7.88081	+	34.5281i	−0.294109	+	1.28858i
$719$	−16.0655	+	7.73673i	−0.599141	+	0.288531i	−0.708768	−	0.705442i	$-0.750749\pi$
$719$	−16.0655	+	7.73673i	−0.599141	+	0.288531i	0.109627	+	0.993973i	$0.465034\pi$
$720$	41.9206	+	52.5667i	1.56229	+	1.95905i
$721$	−7.23410	−	19.8788i	−0.269412	−	0.740327i
$722$	−22.6337	+	28.3817i	−0.842338	+	1.05626i
$723$	4.90607	−	21.4949i	0.182459	−	0.799404i
$724$	23.7366	−	29.7647i	0.882163	−	1.10620i
$725$	−9.15349	+	4.40809i	−0.339952	+	0.163712i
$726$	15.0986	+	18.9331i	0.560362	+	0.702672i
$727$	0.0145387	+	0.00700147i	0.000539211	+	0.000259670i	0.434153	−	0.900839i	$-0.357048\pi$
$727$	0.0145387	+	0.00700147i	0.000539211	+	0.000259670i	−0.433614	+	0.901099i	$0.642762\pi$
$728$	11.1645	+	3.75173i	0.413783	+	0.139048i
$729$	20.3917	−	9.82010i	0.755246	−	0.363707i
$730$	−103.208	−	49.7022i	−3.81989	−	1.83956i
$731$	−4.51149	−	19.7661i	−0.166864	−	0.731077i
$732$	−95.9582	−	46.2110i	−3.54672	−	1.70801i
$733$	−18.8629	+	23.6533i	−0.696717	+	0.873655i	−0.996773	−	0.0802659i	$-0.974423\pi$
$733$	−18.8629	+	23.6533i	−0.696717	+	0.873655i	0.300056	+	0.953921i	$0.402994\pi$
$734$	10.4822			0.386906
$735$	57.6470	−	48.3610i	2.12634	−	1.78382i
$736$	3.47747			0.128181
$737$	22.0824	−	27.6904i	0.813414	−	1.01999i
$738$	112.086	+	53.9778i	4.12594	+	1.98695i
$739$	1.36163	+	5.96567i	0.0500882	+	0.219451i	0.993778	−	0.111382i	$-0.0355276\pi$
$739$	1.36163	+	5.96567i	0.0500882	+	0.219451i	−0.943689	+	0.330833i	$0.892670\pi$
$740$	122.239	+	58.8670i	4.49358	+	2.16400i
$741$	−15.8971	+	7.65563i	−0.583994	+	0.281236i
$742$	−21.5012	−	59.0838i	−0.789332	−	2.16903i
$743$	−41.2620	−	19.8707i	−1.51375	−	0.728986i	−0.521505	−	0.853248i	$-0.674629\pi$
$743$	−41.2620	−	19.8707i	−1.51375	−	0.728986i	−0.992249	+	0.124263i	$0.960343\pi$
$744$	39.7856	+	49.8896i	1.45861	+	1.82904i
$745$	46.3088	−	22.3011i	1.69662	−	0.817050i
$746$	22.5817	−	28.3165i	0.826774	−	1.03674i
$747$	−9.96242	+	43.6482i	−0.364506	+	1.59700i
$748$	−26.8943	+	33.7243i	−0.983351	+	1.23308i
$749$	−4.51987	+	45.1449i	−0.165153	+	1.64956i
$750$	42.5466	+	53.3517i	1.55358	+	1.94813i
$751$	8.51672	−	4.10144i	0.310780	−	0.149664i	−0.271992	−	0.962299i	$-0.587682\pi$
$751$	8.51672	−	4.10144i	0.310780	−	0.149664i	0.582772	+	0.812636i	$0.301968\pi$
$752$	3.81601	−	16.7190i	0.139156	−	0.609681i
$753$	−13.1586			−0.479524
$754$	3.21978			0.117258
$755$	3.89636	−	17.0711i	0.141803	−	0.621280i
$756$	−91.8553	−	30.8672i	−3.34075	−	1.12263i
$757$	−0.300209	−	1.31530i	−0.0109113	−	0.0478055i	0.969179	−	0.246357i	$-0.0792335\pi$
$757$	−0.300209	−	1.31530i	−0.0109113	−	0.0478055i	−0.980090	+	0.198551i	$0.936376\pi$
$758$	−5.10819	−	22.3804i	−0.185538	−	0.812894i
$759$	−16.8941	−	21.1845i	−0.613216	−	0.768948i
$760$	−57.5249	−	72.1340i	−2.08665	−	2.61657i
$761$	8.63240	+	37.8210i	0.312924	+	1.37101i	0.849692	+	0.527280i	$0.176788\pi$
$761$	8.63240	+	37.8210i	0.312924	+	1.37101i	−0.536767	+	0.843730i	$0.680355\pi$
$762$	−10.8091	−	47.3579i	−0.391574	−	1.71560i
$763$	32.7471	−	4.10196i	1.18553	−	0.148501i
$764$	15.7110	−	68.8345i	0.568405	−	2.49034i
$765$	−64.8723			−2.34546
$766$	7.23905			0.261558
$767$	0.147914	−	0.648055i	0.00534088	−	0.0233999i
$768$	−82.2382	+	39.6038i	−2.96751	+	1.42908i
$769$	−25.9238	−	32.5074i	−0.934835	−	1.17225i	−0.984835	−	0.173496i	$-0.944494\pi$
$769$	−25.9238	−	32.5074i	−0.934835	−	1.17225i	0.0499998	−	0.998749i	$-0.484078\pi$
$770$	−72.2141	+	46.6354i	−2.60242	+	1.68062i
$771$	−36.8604	+	46.2215i	−1.32750	+	1.66463i
$772$	−8.62679	+	37.7964i	−0.310485	+	1.36032i
$773$	−8.99036	+	11.2736i	−0.323361	+	0.405481i	−0.916768	−	0.399421i	$-0.869211\pi$
$773$	−8.99036	+	11.2736i	−0.323361	+	0.405481i	0.593407	+	0.804903i	$0.297783\pi$
$774$	−91.5094	+	44.0686i	−3.28924	+	1.58401i
$775$	22.5312	+	28.2532i	0.809345	+	1.01489i
$776$	−30.2745	−	14.5794i	−1.08679	−	0.523370i
$777$	−78.9283	+	9.88670i	−2.83154	+	0.354683i
$778$	7.60565	−	3.66269i	0.272676	−	0.131314i
$779$	−43.9709	−	21.1752i	−1.57542	−	0.758682i
$780$	−9.18954	−	40.2620i	−0.329038	−	1.44161i
$781$	12.6331	+	6.08379i	0.452048	+	0.217695i
$782$	10.5890	−	13.2782i	0.378663	−	0.474829i
$783$	−12.7000			−0.453860
$784$	−9.82095	−	19.1615i	−0.350748	−	0.684341i
$785$	54.0545			1.92929
$786$	50.5057	−	63.3322i	1.80148	−	2.25898i
$787$	19.5546	+	9.41699i	0.697045	+	0.335679i	0.748629	−	0.662989i	$-0.230713\pi$
$787$	19.5546	+	9.41699i	0.697045	+	0.335679i	−0.0515835	+	0.998669i	$0.516427\pi$
$788$	−22.3894	−	98.0942i	−0.797588	−	3.49446i
$789$	−20.2845	−	9.76848i	−0.722146	−	0.347767i
$790$	−19.9769	+	9.62035i	−0.710745	+	0.342277i
$791$	−3.81122	+	38.0668i	−0.135511	+	1.35350i
$792$	93.3378	+	44.9491i	3.31661	+	1.59720i
$793$	5.71373	+	7.16479i	0.202901	+	0.254429i
$794$	−79.9037	+	38.4796i	−2.83568	+	1.36559i
$795$	−65.8970	+	82.6322i	−2.33713	+	2.93066i
$796$	20.2654	−	88.7885i	0.718288	−	3.14703i
$797$	−2.44265	+	3.06298i	−0.0865229	+	0.108496i	−0.823209	−	0.567739i	$-0.807818\pi$
$797$	−2.44265	+	3.06298i	−0.0865229	+	0.108496i	0.736686	+	0.676235i	$0.236390\pi$
$798$	106.954	+	35.9411i	3.78614	+	1.27230i
$799$	10.3164	+	12.9364i	0.364970	+	0.457657i
$800$	−10.0922	+	4.86016i	−0.356814	+	0.171833i
$801$	−17.9963	+	78.8470i	−0.635868	+	2.78592i
$802$	47.1796			1.66597
$803$	−50.4588			−1.78065
$804$	24.2113	−	106.077i	0.853868	−	3.74104i
$805$	18.6986	−	12.0754i	0.659038	−	0.425602i
$806$	−2.54845	−	11.1655i	−0.0897652	−	0.393287i
$807$	10.4775	+	45.9051i	0.368827	+	1.61593i
$808$	15.7523	+	19.7528i	0.554165	+	0.694901i
$809$	17.1211	+	21.4692i	0.601947	+	0.754818i	0.985680	−	0.168626i	$-0.0539330\pi$
$809$	17.1211	+	21.4692i	0.601947	+	0.754818i	−0.383733	+	0.923444i	$0.625362\pi$
$810$	19.8483	+	86.9610i	0.697397	+	3.05550i
$811$	6.86090	+	30.0596i	0.240919	+	1.05553i	0.940183	+	0.340671i	$0.110654\pi$
$811$	6.86090	+	30.0596i	0.240919	+	1.05553i	−0.699264	+	0.714864i	$0.746489\pi$
$812$	−9.69278	−	9.45508i	−0.340150	−	0.331808i
$813$	3.88114	−	17.0044i	0.136118	−	0.596370i
$814$	90.8750			3.18517
$815$	−13.3569			−0.467872
$816$	−6.14524	+	26.9241i	−0.215126	+	0.942530i
$817$	35.8988	−	17.2879i	1.25594	−	0.604828i
$818$	−22.4025	−	28.0918i	−0.783284	−	0.982208i
$819$	11.6502	+	11.3645i	0.407091	+	0.397108i
$820$	71.2197	−	89.3067i	2.48710	−	3.11872i
$821$	4.60613	−	20.1808i	0.160755	−	0.704313i	−0.828727	−	0.559654i	$-0.810934\pi$
$821$	4.60613	−	20.1808i	0.160755	−	0.704313i	0.989481	−	0.144660i	$-0.0462087\pi$
$822$	−1.97369	+	2.47493i	−0.0688404	+	0.0863231i
$823$	−23.8093	+	11.4659i	−0.829940	+	0.399678i	−0.800092	−	0.599877i	$-0.795216\pi$
$823$	−23.8093	+	11.4659i	−0.829940	+	0.399678i	−0.0298470	+	0.999554i	$0.509502\pi$
$824$	22.1921	+	27.8281i	0.773100	+	0.969437i
$825$	78.6373	+	37.8697i	2.73780	+	1.31845i
$826$	−3.57084	+	2.30602i	−0.124245	+	0.0802368i
$827$	9.80839	−	4.72347i	0.341071	−	0.164251i	−0.255505	−	0.966808i	$-0.582242\pi$
$827$	9.80839	−	4.72347i	0.341071	−	0.164251i	0.596576	+	0.802557i	$0.296527\pi$
$828$	−50.4119	−	24.2771i	−1.75193	−	0.843687i
$829$	−9.64308	−	42.2491i	−0.334918	−	1.46737i	−0.809479	−	0.587149i	$-0.800250\pi$
$829$	−9.64308	−	42.2491i	−0.334918	−	1.46737i	0.474561	−	0.880223i	$-0.342607\pi$
$830$	56.3175	+	27.1211i	1.95481	+	0.941387i
$831$	53.4155	−	66.9810i	1.85296	−	2.32354i
$832$	9.70191			0.336353
$833$	20.3626	+	4.11867i	0.705523	+	0.142703i
$834$	−42.8272			−1.48299
$835$	−24.4375	+	30.6436i	−0.845694	+	1.06047i
$836$	−76.3766	−	36.7810i	−2.64154	−	1.27210i
$837$	10.0520	+	44.0406i	0.347447	+	1.52227i
$838$	−70.7968	−	34.0940i	−2.44564	−	1.17776i
$839$	11.5906	−	5.58173i	0.400151	−	0.192703i	−0.222975	−	0.974824i	$-0.571577\pi$
$839$	11.5906	−	5.58173i	0.400151	−	0.192703i	0.623126	+	0.782122i	$0.285862\pi$
$840$	−66.0230	+	108.029i	−2.27801	+	3.72735i
$841$	24.5292	+	11.8127i	0.845835	+	0.407333i
$842$	−28.2124	−	35.3772i	−0.972264	−	1.21918i
$843$	−43.8049	+	21.0953i	−1.50872	+	0.726562i
$844$	43.8364	−	54.9690i	1.50891	−	1.89211i
$845$	−0.790701	+	3.46429i	−0.0272009	+	0.119175i
$846$	51.6817	−	64.8068i	1.77685	−	2.22811i
$847$	−4.56958	+	7.47689i	−0.157013	+	0.256909i
$848$	18.8565	+	23.6453i	0.647535	+	0.811983i
$849$	4.03018	−	1.94083i	0.138316	−	0.0666093i
$850$	−12.1734	+	53.3352i	−0.417545	+	1.82938i
$851$	−23.5305			−0.806614
$852$	43.0757			1.47575
$853$	−0.433653	+	1.89996i	−0.0148480	+	0.0650534i	−0.981809	−	0.189870i	$-0.939193\pi$
$853$	−0.433653	+	1.89996i	−0.0148480	+	0.0650534i	0.966961	+	0.254924i	$0.0820504\pi$
$854$	5.83802	−	58.3107i	0.199773	−	1.99535i
$855$	−28.3694	−	124.295i	−0.970214	−	4.25079i
$856$	−16.9871	−	74.4252i	−0.580606	−	2.54380i
$857$	19.3731	+	24.2931i	0.661772	+	0.829836i	0.993535	−	0.113527i	$-0.0362149\pi$
$857$	19.3731	+	24.2931i	0.661772	+	0.829836i	−0.331763	+	0.943363i	$0.607643\pi$
$858$	−17.2464	−	21.6263i	−0.588782	−	0.738309i
$859$	−10.3350	−	45.2806i	−0.352625	−	1.54495i	−0.771094	−	0.636721i	$-0.780290\pi$
$859$	−10.3350	−	45.2806i	−0.352625	−	1.54495i	0.418469	−	0.908231i	$-0.362567\pi$
$860$	20.7518	+	90.9196i	0.707631	+	3.10033i
$861$	−6.67171	+	66.6376i	−0.227371	+	2.27100i
$862$	−5.18172	+	22.7026i	−0.176490	+	0.773254i
$863$	49.7282			1.69277			0.846384	−	0.532574i	$-0.178775\pi$
$863$	49.7282			1.69277			0.846384	+	0.532574i	$0.178775\pi$
$864$	−14.0024			−0.476373
$865$	−3.10081	+	13.5855i	−0.105431	+	0.461922i
$866$	27.1801	−	13.0892i	0.923616	−	0.444790i
$867$	15.4509	+	19.3749i	0.524741	+	0.658005i
$868$	−25.1163	+	41.0960i	−0.852502	+	1.39489i
$869$	−6.08950	+	7.63599i	−0.206572	+	0.259033i
$870$	−7.70163	+	33.7431i	−0.261110	+	1.14400i
$871$	−5.83708	+	7.31946i	−0.197782	+	0.248011i
$872$	−50.0307	+	24.0935i	−1.69425	+	0.815910i
$873$	−28.9500	−	36.3022i	−0.979811	−	1.22864i
$874$	30.0717	+	14.4818i	1.01719	+	0.489853i
$875$	−12.8767	+	21.0692i	−0.435312	+	0.712270i
$876$	−139.662	+	67.2577i	−4.71874	+	2.27243i
$877$	19.6128	+	9.44503i	0.662277	+	0.318936i	0.734655	−	0.678441i	$-0.237344\pi$
$877$	19.6128	+	9.44503i	0.662277	+	0.318936i	−0.0723772	+	0.997377i	$0.523059\pi$
$878$	−19.2875	−	84.5041i	−0.650922	−	2.85188i
$879$	−16.4989	−	7.94545i	−0.556494	−	0.267994i
$880$	25.7811	−	32.3285i	0.869081	−	1.08979i
$881$	53.3800			1.79842			0.899209	−	0.437519i	$-0.144143\pi$
$881$	53.3800			1.79842			0.899209	+	0.437519i	$0.144143\pi$
$882$	−2.58351	−	104.043i	−0.0869912	−	3.50332i
$883$	28.1452			0.947162			0.473581	−	0.880750i	$-0.342961\pi$
$883$	28.1452			0.947162			0.473581	+	0.880750i	$0.342961\pi$
$884$	7.10902	−	8.91442i	0.239102	−	0.299825i
$885$	6.43776	+	3.10026i	0.216403	+	0.104214i
$886$	0.783928	+	3.43461i	0.0263366	+	0.115388i
$887$	−16.7382	−	8.06067i	−0.562012	−	0.270651i	0.131234	−	0.991351i	$-0.458106\pi$
$887$	−16.7382	−	8.06067i	−0.562012	−	0.270651i	−0.693247	+	0.720700i	$0.743820\pi$
$888$	120.586	−	58.0711i	4.04660	−	1.94874i
$889$	14.7658	−	9.53567i	0.495230	−	0.319816i
$890$	101.733	+	48.9921i	3.41010	+	1.64222i
$891$	24.4972	+	30.7185i	0.820686	+	1.02911i
$892$	56.1088	−	27.0206i	1.87866	−	0.904715i
$893$	−20.2745	+	25.4234i	−0.678461	+	0.850763i
$894$	23.5343	−	103.111i	0.787105	−	3.44853i
$895$	−35.5208	+	44.5417i	−1.18733	+	1.48886i
$896$	−38.8476	−	37.8949i	−1.29781	−	1.26598i
$897$	4.46564	+	5.59974i	0.149104	+	0.186970i
$898$	−45.3921	+	21.8597i	−1.51475	+	0.729467i
$899$	−1.40460	+	6.15397i	−0.0468461	+	0.205246i
$900$	180.234			6.00781
$901$	−29.1806			−0.972145
$902$	17.0250	−	74.5914i	0.566871	−	2.48362i
$903$	−39.1390	−	38.1792i	−1.30246	−	1.27052i
$904$	−14.3237	−	62.7564i	−0.476400	−	2.08725i
$905$	−7.83544	−	34.3293i	−0.260459	−	1.14114i
$906$	−22.4644	−	28.1695i	−0.746330	−	0.935868i
$907$	5.60380	+	7.02694i	0.186071	+	0.233326i	0.866114	−	0.499847i	$-0.166610\pi$
$907$	5.60380	+	7.02694i	0.186071	+	0.233326i	−0.680043	+	0.733172i	$0.738039\pi$
$908$	−5.27920	−	23.1297i	−0.175196	−	0.767586i
$909$	7.76854	+	34.0362i	0.257666	+	1.12891i
$910$	19.0885	−	12.3272i	0.632778	−	0.408643i
$911$	0.256624	−	1.12434i	0.00850233	−	0.0372511i	−0.970499	−	0.241106i	$-0.922490\pi$
$911$	0.256624	−	1.12434i	0.00850233	−	0.0372511i	0.979001	+	0.203855i	$0.0653470\pi$
$912$	−54.2736			−1.79718
$913$	27.5339			0.911241
$914$	−10.3090	+	45.1667i	−0.340992	+	1.49398i
$915$	−88.7536	+	42.7415i	−2.93410	+	1.41299i
$916$	−1.30393	−	1.63507i	−0.0430829	−	0.0540243i
$917$	27.7849	+	9.33689i	0.917539	+	0.308331i
$918$	−42.6380	+	53.4664i	−1.40726	+	1.76465i
$919$	−4.54033	+	19.8925i	−0.149772	+	0.656193i	0.843176	+	0.537638i	$0.180683\pi$
$919$	−4.54033	+	19.8925i	−0.149772	+	0.656193i	−0.992948	+	0.118555i	$0.962174\pi$
$920$	−23.3509	+	29.2811i	−0.769856	+	0.965369i
$921$	−86.4695	+	41.6415i	−2.84927	+	1.37213i
$922$	−1.50520	−	1.88746i	−0.0495711	−	0.0621602i
$923$	−3.33934	−	1.60814i	−0.109916	−	0.0529326i
$924$	−11.5886	+	115.748i	−0.381238	+	3.80784i
$925$	68.2896	−	32.8865i	2.24535	−	1.08130i
$926$	−15.5043	−	7.46649i	−0.509504	−	0.245364i
$927$	10.9445	+	47.9508i	0.359463	+	1.57491i
$928$	−1.76285	−	0.848943i	−0.0578683	−	0.0278679i
$929$	−17.5122	+	21.9596i	−0.574557	+	0.720472i	−0.981174	−	0.193127i	$-0.938137\pi$
$929$	−17.5122	+	21.9596i	−0.574557	+	0.720472i	0.406617	+	0.913599i	$0.366709\pi$
$930$	123.109			4.03691
$931$	1.01350	+	40.8157i	0.0332161	+	1.33768i
$932$	−11.1469			−0.365129
$933$	37.3425	−	46.8260i	1.22254	−	1.53302i
$934$	−32.1183	−	15.4674i	−1.05094	−	0.506108i
$935$	8.87779	+	38.8961i	0.290335	+	1.27204i
$936$	−24.6722	−	11.8815i	−0.806435	−	0.388359i
$937$	−24.6733	+	11.8820i	−0.806040	+	0.388168i	−0.791075	−	0.611720i	$-0.790478\pi$
$937$	−24.6733	+	11.8820i	−0.806040	+	0.388168i	−0.0149653	+	0.999888i	$0.504764\pi$
$938$	59.4030	−	7.44093i	1.93958	−	0.242955i
$939$	−1.16808	−	0.562519i	−0.0381190	−	0.0183571i
$940$	−47.4533	−	59.5045i	−1.54775	−	1.94082i
$941$	−12.2715	+	5.90964i	−0.400039	+	0.192649i	−0.623076	−	0.782161i	$-0.714117\pi$
$941$	−12.2715	+	5.90964i	−0.400039	+	0.192649i	0.223037	+	0.974810i	$0.428403\pi$
$942$	69.3488	−	86.9606i	2.25950	−	2.83333i
$943$	−4.40832	+	19.3141i	−0.143555	+	0.628954i
$944$	1.27482	−	1.59858i	0.0414919	−	0.0520293i
$945$	−75.2920	+	48.6230i	−2.44925	+	1.58171i
$946$	38.9458	+	48.8364i	1.26624	+	1.58781i
$947$	9.23144	−	4.44563i	0.299981	−	0.144463i	−0.277838	−	0.960628i	$-0.589618\pi$
$947$	9.23144	−	4.44563i	0.299981	−	0.144463i	0.577820	+	0.816164i	$0.303904\pi$
$948$	−6.67659	+	29.2520i	−0.216846	+	0.950062i
$949$	13.3379			0.432966
$950$	−107.513			−3.48819
$951$	−3.97436	+	17.4128i	−0.128877	+	0.564648i
$952$	−34.6843	+	4.34462i	−1.12413	+	0.140810i
$953$	7.66889	+	33.5996i	0.248420	+	1.08840i	0.933118	+	0.359571i	$0.117077\pi$
$953$	7.66889	+	33.5996i	0.248420	+	1.08840i	−0.684698	+	0.728827i	$0.740066\pi$
$954$	32.5290	+	142.519i	1.05317	+	4.61423i
$955$	−40.7162	−	51.0565i	−1.31754	−	1.65215i
$956$	31.1920	+	39.1135i	1.00882	+	1.26502i
$957$	3.39248	+	14.8634i	0.109663	+	0.480466i
$958$	10.2808	+	45.0430i	0.332156	+	1.45527i
$959$	−1.08579	−	0.364872i	−0.0350621	−	0.0117823i
$960$	−23.2067	+	101.675i	−0.748994	+	3.28156i
$961$	−8.54771			−0.275732
$962$	−24.0212			−0.774474
$963$	23.4732	−	102.843i	0.756412	−	3.31406i
$964$	−25.2270	+	12.1487i	−0.812508	+	0.391283i
$965$	22.3569	+	28.0347i	0.719694	+	0.902467i
$966$	4.56278	−	45.5735i	0.146805	−	1.46630i
$967$	28.2255	−	35.3936i	0.907670	−	1.13818i	−0.0822578	−	0.996611i	$-0.526213\pi$
$967$	28.2255	−	35.3936i	0.907670	−	1.13818i	0.989928	−	0.141571i	$-0.0452155\pi$
$968$	3.28082	−	14.3742i	0.105450	−	0.462005i
$969$	32.6497	−	40.9415i	1.04886	−	1.31523i
$970$	−58.4076	+	28.1276i	−1.87536	+	0.903124i
$971$	−15.9117	−	19.9526i	−0.510630	−	0.640309i	0.457960	−	0.888973i	$-0.348580\pi$
$971$	−15.9117	−	19.9526i	−0.510630	−	0.640309i	−0.968590	+	0.248663i	$0.920009\pi$
$972$	9.75332	+	4.69695i	0.312838	+	0.150655i
$973$	−5.29954	−	14.5628i	−0.169895	−	0.466862i
$974$	−29.7270	+	14.3158i	−0.952514	+	0.458707i
$975$	−20.7864	−	10.0102i	−0.665697	−	0.320583i
$976$	6.27252	+	27.4817i	0.200779	+	0.879669i
$977$	−11.6668	−	5.61845i	−0.373255	−	0.179750i	0.237846	−	0.971303i	$-0.423559\pi$
$977$	−11.6668	−	5.61845i	−0.373255	−	0.179750i	−0.611101	+	0.791553i	$0.709273\pi$
$978$	−17.1361	+	21.4880i	−0.547953	+	0.687111i
$979$	49.7379			1.58963
$980$	−93.6634	−	18.9449i	−2.99197	−	0.605173i
$981$	−76.7327			−2.44989
$982$	11.3496	−	14.2320i	0.362181	−	0.454160i
$983$	−8.44740	−	4.06805i	−0.269430	−	0.129751i	0.294291	−	0.955716i	$-0.404917\pi$
$983$	−8.44740	−	4.06805i	−0.269430	−	0.129751i	−0.563721	+	0.825965i	$0.690631\pi$
$984$	−25.0743	−	109.858i	−0.799341	−	3.50214i
$985$	−83.8464	−	40.3783i	−2.67157	−	1.28656i
$986$	−8.60952	+	4.14613i	−0.274183	+	0.132040i
$987$	42.2979	+	14.2139i	1.34636	+	0.452432i
$988$	20.1888	+	9.72241i	0.642291	+	0.309311i
$989$	−10.0843	−	12.6453i	−0.320662	−	0.402098i
$990$	180.074	−	86.7190i	5.72312	−	2.75611i
$991$	5.99640	−	7.51925i	0.190482	−	0.238857i	−0.677415	−	0.735601i	$-0.736900\pi$
$991$	5.99640	−	7.51925i	0.190482	−	0.238857i	0.867897	+	0.496744i	$0.165471\pi$
$992$	−1.54865	+	6.78509i	−0.0491698	+	0.215427i
$993$	50.9766	−	63.9227i	1.61769	−	2.02853i
$994$	8.10516	+	22.2725i	0.257080	+	0.706440i
$995$	−52.5191	−	65.8569i	−1.66497	−	2.08780i
$996$	76.2096	−	36.7006i	2.41479	−	1.16290i
$997$	−4.63918	+	20.3256i	−0.146924	+	0.643717i	0.846805	+	0.531903i	$0.178523\pi$
$997$	−4.63918	+	20.3256i	−0.146924	+	0.643717i	−0.993729	+	0.111814i	$0.964334\pi$
$998$	75.1539			2.37896
$999$	94.7481			2.99770

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.a.92.4	✓	162
49.8	even	7	inner	637.2.w.a.547.4	yes	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.a.92.4	✓	162	1.1	even	1	trivial
637.2.w.a.547.4	yes	162	49.8	even	7	inner

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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.50697 + 1.88968i) q^{2} +(2.72555 + 1.31256i) q^{3} +(-0.854886 - 3.74550i) q^{4} +(-3.20148 - 1.54175i) q^{5} +(-6.58762 + 3.17243i) q^{6} +(-1.89391 - 1.84746i) q^{7} +(4.01081 + 1.93150i) q^{8} +(3.83535 + 4.80937i) q^{9} +O(q^{10})\)	\(q+(-1.50697 + 1.88968i) q^{2} +(2.72555 + 1.31256i) q^{3} +(-0.854886 - 3.74550i) q^{4} +(-3.20148 - 1.54175i) q^{5} +(-6.58762 + 3.17243i) q^{6} +(-1.89391 - 1.84746i) q^{7} +(4.01081 + 1.93150i) q^{8} +(3.83535 + 4.80937i) q^{9} +(7.73794 - 3.72639i) q^{10} +(2.35874 - 2.95776i) q^{11} +(2.58614 - 11.3306i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(6.34516 - 0.794806i) q^{14} +(-6.70216 - 8.40424i) q^{15} +(-2.77135 + 1.33461i) q^{16} +(0.660410 - 2.89344i) q^{17} -14.8679 q^{18} +5.83261 q^{19} +(-3.03773 + 13.3092i) q^{20} +(-2.73704 - 7.52121i) q^{21} +(2.03468 + 8.91450i) q^{22} +(-0.526843 - 2.30825i) q^{23} +(8.39645 + 10.5288i) q^{24} +(4.75504 + 5.96263i) q^{25} +(-0.537830 - 2.35639i) q^{26} +(2.12140 + 9.29444i) q^{27} +(-5.30060 + 8.67300i) q^{28} +(-0.296431 + 1.29875i) q^{29} +25.9812 q^{30} +4.73839 q^{31} +(-0.326831 + 1.43194i) q^{32} +(10.3111 - 4.96555i) q^{33} +(4.47246 + 5.60829i) q^{34} +(3.21498 + 8.83455i) q^{35} +(14.7347 - 18.4768i) q^{36} +(2.21152 - 9.68930i) q^{37} +(-8.78955 + 11.0217i) q^{38} +(-2.72555 + 1.31256i) q^{39} +(-9.86263 - 12.3674i) q^{40} +(-7.53879 - 3.63049i) q^{41} +(18.3373 + 6.16209i) q^{42} +(6.15483 - 2.96401i) q^{43} +(-13.0948 - 6.30610i) q^{44} +(-4.86393 - 21.3103i) q^{45} +(5.15578 + 2.48289i) q^{46} +(-3.47606 + 4.35884i) q^{47} -9.30519 q^{48} +(0.173764 + 6.99784i) q^{49} -18.4331 q^{50} +(5.59779 - 7.01940i) q^{51} +(3.46136 + 1.66690i) q^{52} +(-2.18787 - 9.58569i) q^{53} +(-20.7604 - 9.99766i) q^{54} +(-12.1116 + 5.83263i) q^{55} +(-4.02772 - 11.0679i) q^{56} +(15.8971 + 7.65563i) q^{57} +(-2.00750 - 2.51733i) q^{58} +(-0.598893 + 0.288412i) q^{59} +(-25.7485 + 32.2876i) q^{60} +(2.03921 - 8.93435i) q^{61} +(-7.14059 + 8.95401i) q^{62} +(1.62135 - 16.1942i) q^{63} +(-6.04905 - 7.58526i) q^{64} +(3.20148 - 1.54175i) q^{65} +(-6.15516 + 26.9675i) q^{66} +9.36195 q^{67} -11.4020 q^{68} +(1.59377 - 6.98276i) q^{69} +(-21.5393 - 7.23811i) q^{70} +(0.824749 + 3.61346i) q^{71} +(6.09353 + 26.6975i) q^{72} +(-8.31603 - 10.4280i) q^{73} +(14.9770 + 18.7805i) q^{74} +(5.13381 + 22.4927i) q^{75} +(-4.98622 - 21.8461i) q^{76} +(-9.93158 + 1.24405i) q^{77} +(1.62701 - 7.12838i) q^{78} -2.58168 q^{79} +10.9301 q^{80} +(-2.31104 + 10.1253i) q^{81} +(18.2212 - 8.77485i) q^{82} +(4.53782 + 5.69025i) q^{83} +(-25.8308 + 16.6814i) q^{84} +(-6.57527 + 8.24512i) q^{85} +(-3.67411 + 16.0973i) q^{86} +(-2.51261 + 3.15072i) q^{87} +(15.1734 - 7.30711i) q^{88} +(8.19722 + 10.2790i) q^{89} +(47.5993 + 22.9226i) q^{90} +(2.62524 - 0.328842i) q^{91} +(-8.19516 + 3.94658i) q^{92} +(12.9147 + 6.21939i) q^{93} +(-2.99849 - 13.1373i) q^{94} +(-18.6730 - 8.99244i) q^{95} +(-2.77030 + 3.47384i) q^{96} -7.54822 q^{97} +(-13.4855 - 10.2172i) q^{98} +23.2716 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

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