LMFDB - Embedded newform 273.2.bz.b.73.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(31,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 2, 9]))

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

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

chi := DirichletCharacter("273.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bz (of order $12$, degree $4$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			73.3
Character	$\chi$	$=$	273.73
Dual form			273.2.bz.b.187.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.246078 + 0.918377i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(0.949189 + 0.548015i) q^{4} +(0.797354 + 0.213650i) q^{5} +(0.672298 - 0.672298i) q^{6} +(-2.22965 + 1.42430i) q^{7} +(-2.08146 + 2.08146i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.246078 + 0.918377i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(0.949189 + 0.548015i) q^{4} +(0.797354 + 0.213650i) q^{5} +(0.672298 - 0.672298i) q^{6} +(-2.22965 + 1.42430i) q^{7} +(-2.08146 + 2.08146i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.392423 + 0.679697i) q^{10} +(0.430332 + 1.60602i) q^{11} +(-0.548015 - 0.949189i) q^{12} +(3.57326 + 0.481493i) q^{13} +(-0.759378 - 2.39815i) q^{14} +(-0.583704 - 0.583704i) q^{15} +(-0.303330 - 0.525383i) q^{16} +(-1.31690 + 2.28095i) q^{17} +(-0.918377 + 0.246078i) q^{18} +(6.01702 + 1.61226i) q^{19} +(0.639756 + 0.639756i) q^{20} +(2.64309 - 0.118656i) q^{21} -1.58083 q^{22} +(-6.64218 + 3.83486i) q^{23} +(2.84332 - 0.761866i) q^{24} +(-3.74000 - 2.15929i) q^{25} +(-1.32149 + 3.16311i) q^{26} -1.00000i q^{27} +(-2.89690 + 0.130050i) q^{28} -1.62679 q^{29} +(0.679697 - 0.392423i) q^{30} +(-0.0712312 - 0.265838i) q^{31} +(-5.12950 + 1.37445i) q^{32} +(0.430332 - 1.60602i) q^{33} +(-1.77071 - 1.77071i) q^{34} +(-2.08213 + 0.659308i) q^{35} +1.09603i q^{36} +(11.4599 + 3.07067i) q^{37} +(-2.96132 + 5.12915i) q^{38} +(-2.85378 - 2.20361i) q^{39} +(-2.10436 + 1.21495i) q^{40} +(6.98937 - 6.98937i) q^{41} +(-0.541436 + 2.45655i) q^{42} -2.91142i q^{43} +(-0.471657 + 1.76025i) q^{44} +(0.213650 + 0.797354i) q^{45} +(-1.88735 - 7.04370i) q^{46} +(2.05456 - 7.66774i) q^{47} +0.606660i q^{48} +(2.94272 - 6.35141i) q^{49} +(2.90338 - 2.90338i) q^{50} +(2.28095 - 1.31690i) q^{51} +(3.12783 + 2.41523i) q^{52} +(3.41271 - 5.91098i) q^{53} +(0.918377 + 0.246078i) q^{54} +1.37251i q^{55} +(1.67630 - 7.60555i) q^{56} +(-4.40477 - 4.40477i) q^{57} +(0.400317 - 1.49400i) q^{58} +(-7.05512 + 1.89041i) q^{59} +(-0.234167 - 0.873923i) q^{60} +(5.64073 - 3.25668i) q^{61} +0.261668 q^{62} +(-2.34831 - 1.21879i) q^{63} -6.26236i q^{64} +(2.74628 + 1.14735i) q^{65} +(1.36904 + 0.790414i) q^{66} +(-7.26439 + 1.94649i) q^{67} +(-2.49998 + 1.44337i) q^{68} +7.66973 q^{69} +(-0.0931267 - 2.07442i) q^{70} +(11.0013 + 11.0013i) q^{71} +(-2.84332 - 0.761866i) q^{72} +(-2.81207 + 0.753492i) q^{73} +(-5.64007 + 9.76888i) q^{74} +(2.15929 + 3.74000i) q^{75} +(4.82775 + 4.82775i) q^{76} +(-3.24695 - 2.96795i) q^{77} +(2.72600 - 2.07859i) q^{78} +(-7.63678 - 13.2273i) q^{79} +(-0.129613 - 0.483723i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(4.69894 + 8.13880i) q^{82} +(10.9290 - 10.9290i) q^{83} +(2.57382 + 1.33582i) q^{84} +(-1.53736 + 1.53736i) q^{85} +(2.67378 + 0.716437i) q^{86} +(1.40884 + 0.813393i) q^{87} +(-4.23858 - 2.44715i) q^{88} +(0.689115 - 2.57181i) q^{89} -0.784846 q^{90} +(-8.65292 + 4.01584i) q^{91} -8.40625 q^{92} +(-0.0712312 + 0.265838i) q^{93} +(6.53629 + 3.77373i) q^{94} +(4.45324 + 2.57108i) q^{95} +(5.12950 + 1.37445i) q^{96} +(-4.73504 + 4.73504i) q^{97} +(5.10885 + 4.26547i) q^{98} +(-1.17569 + 1.17569i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 4 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q + 4 * q^7 + 18 * q^9	$ 36 q + 4 q^{7} + 18 q^{9} + 4 q^{11} + 16 q^{12} - 36 q^{14} + 12 q^{16} - 4 q^{17} - 12 q^{19} - 44 q^{20} + 6 q^{21} - 8 q^{22} + 12 q^{23} - 18 q^{24} + 48 q^{25} - 28 q^{26} + 12 q^{28} - 16 q^{29} - 56 q^{32} + 4 q^{33} + 48 q^{34} + 8 q^{35} + 22 q^{37} - 16 q^{38} - 8 q^{39} + 60 q^{40} + 32 q^{41} + 12 q^{42} + 4 q^{44} - 44 q^{46} - 14 q^{47} - 6 q^{49} - 68 q^{50} + 12 q^{51} - 82 q^{52} - 8 q^{53} + 8 q^{56} - 6 q^{57} - 84 q^{58} + 70 q^{59} + 2 q^{60} + 36 q^{61} - 48 q^{62} + 2 q^{63} - 8 q^{65} + 38 q^{67} + 36 q^{68} + 8 q^{69} - 40 q^{70} - 36 q^{71} + 18 q^{72} - 46 q^{73} + 40 q^{74} - 10 q^{75} + 60 q^{76} - 60 q^{77} + 32 q^{78} - 38 q^{80} - 18 q^{81} - 24 q^{83} + 38 q^{84} + 44 q^{85} - 24 q^{86} + 36 q^{87} - 168 q^{88} + 38 q^{89} - 14 q^{91} - 40 q^{92} + 56 q^{96} - 36 q^{97} + 58 q^{98} + 8 q^{99}+O(q^{100}) $ 36 * q + 4 * q^7 + 18 * q^9 + 4 * q^11 + 16 * q^12 - 36 * q^14 + 12 * q^16 - 4 * q^17 - 12 * q^19 - 44 * q^20 + 6 * q^21 - 8 * q^22 + 12 * q^23 - 18 * q^24 + 48 * q^25 - 28 * q^26 + 12 * q^28 - 16 * q^29 - 56 * q^32 + 4 * q^33 + 48 * q^34 + 8 * q^35 + 22 * q^37 - 16 * q^38 - 8 * q^39 + 60 * q^40 + 32 * q^41 + 12 * q^42 + 4 * q^44 - 44 * q^46 - 14 * q^47 - 6 * q^49 - 68 * q^50 + 12 * q^51 - 82 * q^52 - 8 * q^53 + 8 * q^56 - 6 * q^57 - 84 * q^58 + 70 * q^59 + 2 * q^60 + 36 * q^61 - 48 * q^62 + 2 * q^63 - 8 * q^65 + 38 * q^67 + 36 * q^68 + 8 * q^69 - 40 * q^70 - 36 * q^71 + 18 * q^72 - 46 * q^73 + 40 * q^74 - 10 * q^75 + 60 * q^76 - 60 * q^77 + 32 * q^78 - 38 * q^80 - 18 * q^81 - 24 * q^83 + 38 * q^84 + 44 * q^85 - 24 * q^86 + 36 * q^87 - 168 * q^88 + 38 * q^89 - 14 * q^91 - 40 * q^92 + 56 * q^96 - 36 * q^97 + 58 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.246078	+	0.918377i	−0.174004	+	0.649390i	0.822716	+	0.568453i	$0.192458\pi$
$2$	−0.246078	+	0.918377i	−0.174004	+	0.649390i	−0.996719	+	0.0809372i	$0.974209\pi$
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$4$	0.949189	+	0.548015i	0.474595	+	0.274007i
$5$	0.797354	+	0.213650i	0.356587	+	0.0955473i	0.432665	−	0.901555i	$-0.357573\pi$
$5$	0.797354	+	0.213650i	0.356587	+	0.0955473i	−0.0760780	+	0.997102i	$0.524240\pi$
$6$	0.672298	−	0.672298i	0.274465	−	0.274465i
$7$	−2.22965	+	1.42430i	−0.842730	+	0.538336i
$7$	−2.22965	+	1.42430i	−0.842730	+	0.538336i
$8$	−2.08146	+	2.08146i	−0.735906	+	0.735906i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	−0.392423	+	0.679697i	−0.124095	+	0.214939i
$11$	0.430332	+	1.60602i	0.129750	+	0.484234i	0.999964	−	0.00843964i	$-0.00268645\pi$
$11$	0.430332	+	1.60602i	0.129750	+	0.484234i	−0.870214	+	0.492673i	$0.836020\pi$
$12$	−0.548015	−	0.949189i	−0.158198	−	0.274007i
$13$	3.57326	+	0.481493i	0.991043	+	0.133542i
$13$	3.57326	+	0.481493i	0.991043	+	0.133542i
$14$	−0.759378	−	2.39815i	−0.202952	−	0.640933i
$15$	−0.583704	−	0.583704i	−0.150712	−	0.150712i
$16$	−0.303330	−	0.525383i	−0.0758325	−	0.131346i
$17$	−1.31690	+	2.28095i	−0.319396	+	0.553211i	−0.980362	−	0.197205i	$-0.936813\pi$
$17$	−1.31690	+	2.28095i	−0.319396	+	0.553211i	0.660966	+	0.750416i	$0.270147\pi$
$18$	−0.918377	+	0.246078i	−0.216463	+	0.0580012i
$19$	6.01702	+	1.61226i	1.38040	+	0.369877i	0.871266	−	0.490811i	$-0.163299\pi$
$19$	6.01702	+	1.61226i	1.38040	+	0.369877i	0.509133	+	0.860688i	$0.329966\pi$
$20$	0.639756	+	0.639756i	0.143054	+	0.143054i
$21$	2.64309	−	0.118656i	0.576769	−	0.0258929i
$22$	−1.58083			−0.337034
$23$	−6.64218	+	3.83486i	−1.38499	+	0.799624i	−0.992745	−	0.120237i	$-0.961635\pi$
$23$	−6.64218	+	3.83486i	−1.38499	+	0.799624i	−0.392245	+	0.919861i	$0.628301\pi$
$24$	2.84332	−	0.761866i	0.580391	−	0.155515i
$25$	−3.74000	−	2.15929i	−0.748000	−	0.431858i
$26$	−1.32149	+	3.16311i	−0.259166	+	0.620337i
$27$		−	1.00000i		−	0.192450i
$28$	−2.89690	+	0.130050i	−0.547463	+	0.0245772i
$29$	−1.62679			−0.302087			−0.151043	−	0.988527i	$-0.548263\pi$
$29$	−1.62679			−0.302087			−0.151043	+	0.988527i	$0.548263\pi$
$30$	0.679697	−	0.392423i	0.124095	−	0.0716463i
$31$	−0.0712312	−	0.265838i	−0.0127935	−	0.0477460i	0.959234	−	0.282613i	$-0.0912012\pi$
$31$	−0.0712312	−	0.265838i	−0.0127935	−	0.0477460i	−0.972028	+	0.234867i	$0.924535\pi$
$32$	−5.12950	+	1.37445i	−0.906776	+	0.242970i
$33$	0.430332	−	1.60602i	0.0749112	−	0.279572i
$34$	−1.77071	−	1.77071i	−0.303674	−	0.303674i
$35$	−2.08213	+	0.659308i	−0.351944	+	0.111443i
$36$			1.09603i			0.182672i
$37$	11.4599	+	3.07067i	1.88400	+	0.504815i	0.999249	+	0.0387428i	$0.0123353\pi$
$37$	11.4599	+	3.07067i	1.88400	+	0.504815i	0.884747	+	0.466072i	$0.154331\pi$
$38$	−2.96132	+	5.12915i	−0.480389	+	0.832058i
$39$	−2.85378	−	2.20361i	−0.456971	−	0.352861i
$40$	−2.10436	+	1.21495i	−0.332729	+	0.192101i
$41$	6.98937	−	6.98937i	1.09156	−	1.09156i	0.0961931	−	0.995363i	$-0.469333\pi$
$41$	6.98937	−	6.98937i	1.09156	−	1.09156i	0.995363	−	0.0961931i	$-0.0306666\pi$
$42$	−0.541436	+	2.45655i	−0.0835454	+	0.379054i
$43$		−	2.91142i		−	0.443987i	−0.975048	−	0.221993i	$-0.928744\pi$
$43$		−	2.91142i		−	0.443987i	0.975048	−	0.221993i	$-0.0712564\pi$
$44$	−0.471657	+	1.76025i	−0.0711049	+	0.265367i
$45$	0.213650	+	0.797354i	0.0318491	+	0.118862i
$46$	−1.88735	−	7.04370i	−0.278275	−	1.03854i
$47$	2.05456	−	7.66774i	0.299689	−	1.11845i	−0.637733	−	0.770258i	$-0.720127\pi$
$47$	2.05456	−	7.66774i	0.299689	−	1.11845i	0.937422	−	0.348197i	$-0.113206\pi$
$48$			0.606660i			0.0875639i
$49$	2.94272	−	6.35141i	0.420388	−	0.907344i
$50$	2.90338	−	2.90338i	0.410599	−	0.410599i
$51$	2.28095	−	1.31690i	0.319396	−	0.184404i
$52$	3.12783	+	2.41523i	0.433752	+	0.334931i
$53$	3.41271	−	5.91098i	0.468772	−	0.811936i	−0.530591	−	0.847628i	$-0.678030\pi$
$53$	3.41271	−	5.91098i	0.468772	−	0.811936i	0.999363	+	0.0356917i	$0.0113634\pi$
$54$	0.918377	+	0.246078i	0.124975	+	0.0334870i
$55$			1.37251i			0.185069i
$56$	1.67630	−	7.60555i	0.224005	−	1.01633i
$57$	−4.40477	−	4.40477i	−0.583426	−	0.583426i
$58$	0.400317	−	1.49400i	0.0525642	−	0.196172i
$59$	−7.05512	+	1.89041i	−0.918499	+	0.246111i	−0.686944	−	0.726711i	$-0.741048\pi$
$59$	−7.05512	+	1.89041i	−0.918499	+	0.246111i	−0.231555	+	0.972822i	$0.574381\pi$
$60$	−0.234167	−	0.873923i	−0.0302308	−	0.112823i
$61$	5.64073	−	3.25668i	0.722221	−	0.416975i	−0.0933484	−	0.995634i	$-0.529757\pi$
$61$	5.64073	−	3.25668i	0.722221	−	0.416975i	0.815570	+	0.578659i	$0.196424\pi$
$62$	0.261668			0.0332319
$63$	−2.34831	−	1.21879i	−0.295859	−	0.153553i
$64$		−	6.26236i		−	0.782795i
$65$	2.74628	+	1.14735i	0.340634	+	0.142311i
$66$	1.36904	+	0.790414i	0.168517	+	0.0972932i
$67$	−7.26439	+	1.94649i	−0.887486	+	0.237801i	−0.673634	−	0.739065i	$-0.735268\pi$
$67$	−7.26439	+	1.94649i	−0.887486	+	0.237801i	−0.213852	+	0.976866i	$0.568601\pi$
$68$	−2.49998	+	1.44337i	−0.303168	+	0.175034i
$69$	7.66973			0.923327
$70$	−0.0931267	−	2.07442i	−0.0111308	−	0.247940i
$71$	11.0013	+	11.0013i	1.30562	+	1.30562i	0.924546	+	0.381070i	$0.124444\pi$
$71$	11.0013	+	11.0013i	1.30562	+	1.30562i	0.381070	+	0.924546i	$0.375556\pi$
$72$	−2.84332	−	0.761866i	−0.335089	−	0.0897867i
$73$	−2.81207	+	0.753492i	−0.329128	+	0.0881896i	−0.419599	−	0.907710i	$-0.637829\pi$
$73$	−2.81207	+	0.753492i	−0.329128	+	0.0881896i	0.0904712	+	0.995899i	$0.471163\pi$
$74$	−5.64007	+	9.76888i	−0.655644	+	1.13561i
$75$	2.15929	+	3.74000i	0.249333	+	0.431858i
$76$	4.82775	+	4.82775i	0.553781	+	0.553781i
$77$	−3.24695	−	2.96795i	−0.370025	−	0.338229i
$78$	2.72600	−	2.07859i	0.308659	−	0.235354i
$79$	−7.63678	−	13.2273i	−0.859205	−	1.48819i	−0.872688	−	0.488277i	$-0.837625\pi$
$79$	−7.63678	−	13.2273i	−0.859205	−	1.48819i	0.0134836	−	0.999909i	$-0.495708\pi$
$80$	−0.129613	−	0.483723i	−0.0144912	−	0.0540819i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	4.69894	+	8.13880i	0.518911	+	0.898781i
$83$	10.9290	−	10.9290i	1.19961	−	1.19961i	0.225324	−	0.974284i	$-0.427656\pi$
$83$	10.9290	−	10.9290i	1.19961	−	1.19961i	0.974284	−	0.225324i	$-0.0723442\pi$
$84$	2.57382	+	1.33582i	0.280827	+	0.145750i
$85$	−1.53736	+	1.53736i	−0.166751	+	0.166751i
$86$	2.67378	+	0.716437i	0.288321	+	0.0772553i
$87$	1.40884	+	0.813393i	0.151043	+	0.0872049i
$88$	−4.23858	−	2.44715i	−0.451834	−	0.260867i
$89$	0.689115	−	2.57181i	0.0730460	−	0.272611i	−0.919737	−	0.392535i	$-0.871598\pi$
$89$	0.689115	−	2.57181i	0.0730460	−	0.272611i	0.992783	+	0.119923i	$0.0382649\pi$
$90$	−0.784846			−0.0827300
$91$	−8.65292	+	4.01584i	−0.907072	+	0.420975i
$92$	−8.40625			−0.876412
$93$	−0.0712312	+	0.265838i	−0.00738633	+	0.0275662i
$94$	6.53629	+	3.77373i	0.674167	+	0.389230i
$95$	4.45324	+	2.57108i	0.456892	+	0.263787i
$96$	5.12950	+	1.37445i	0.523527	+	0.140279i
$97$	−4.73504	+	4.73504i	−0.480770	+	0.480770i	−0.905378	−	0.424607i	$-0.860412\pi$
$97$	−4.73504	+	4.73504i	−0.480770	+	0.480770i	0.424607	+	0.905378i	$0.360412\pi$
$98$	5.10885	+	4.26547i	0.516072	+	0.430877i
$99$	−1.17569	+	1.17569i	−0.118161	+	0.118161i
$100$	−2.36665	−	4.09915i	−0.236665	−	0.409915i
$101$	−0.979496	+	1.69654i	−0.0974635	+	0.168812i	−0.910634	−	0.413214i	$-0.864406\pi$
$101$	−0.979496	+	1.69654i	−0.0974635	+	0.168812i	0.813171	+	0.582025i	$0.197740\pi$
$102$	0.648124	+	2.41883i	0.0641738	+	0.239500i
$103$	−1.62630	−	2.81684i	−0.160244	−	0.277551i	0.774712	−	0.632314i	$-0.217895\pi$
$103$	−1.62630	−	2.81684i	−0.160244	−	0.277551i	−0.934956	+	0.354763i	$0.884562\pi$
$104$	−8.43978	+	6.43537i	−0.827589	+	0.631040i
$105$	2.13283	+	0.470086i	0.208143	+	0.0458757i
$106$	4.58872	+	4.58872i	0.445696	+	0.445696i
$107$	4.81340	+	8.33705i	0.465329	+	0.805973i	0.999216	−	0.0395822i	$-0.0126027\pi$
$107$	4.81340	+	8.33705i	0.465329	+	0.805973i	−0.533887	+	0.845556i	$0.679269\pi$
$108$	0.548015	−	0.949189i	0.0527327	−	0.0913358i
$109$	0.526247	−	0.141007i	0.0504053	−	0.0135061i	−0.233528	−	0.972350i	$-0.575027\pi$
$109$	0.526247	−	0.141007i	0.0504053	−	0.0135061i	0.283934	+	0.958844i	$0.408360\pi$
$110$	−1.26048	−	0.337744i	−0.120182	−	0.0322027i
$111$	−8.38923	−	8.38923i	−0.796270	−	0.796270i
$112$	1.42463	+	0.739389i	0.134615	+	0.0698657i
$113$	−0.0255941			−0.00240769			−0.00120384	−	0.999999i	$-0.500383\pi$
$113$	−0.0255941			−0.00240769			−0.00120384	+	0.999999i	$0.500383\pi$
$114$	5.12915	−	2.96132i	0.480389	−	0.277353i
$115$	−6.11549	+	1.63864i	−0.570272	+	0.152804i
$116$	−1.54413	−	0.891503i	−0.143369	−	0.0827740i
$117$	1.36964	+	3.33528i	0.126624	+	0.308347i
$118$		−	6.94445i		−	0.639289i
$119$	−0.312517	−	6.96139i	−0.0286484	−	0.638150i
$120$	2.42991			0.221819
$121$	7.13216	−	4.11776i	0.648378	−	0.374341i
$122$	1.60279	+	5.98171i	0.145110	+	0.541559i
$123$	−9.54765	+	2.55829i	−0.860883	+	0.230673i
$124$	0.0780715	−	0.291367i	0.00701103	−	0.0261655i
$125$	−5.43929	−	5.43929i	−0.486505	−	0.486505i
$126$	1.69717	−	1.85672i	0.151196	−	0.165410i
$127$			8.39461i			0.744902i	0.928052	+	0.372451i	$0.121482\pi$
$127$			8.39461i			0.744902i	−0.928052	+	0.372451i	$0.878518\pi$
$128$	−4.50780	−	1.20786i	−0.398437	−	0.106761i
$129$	−1.45571	+	2.52136i	−0.128168	+	0.221993i
$130$	−1.72950	+	2.23978i	−0.151687	+	0.196442i
$131$	2.73857	−	1.58112i	0.239270	−	0.138143i	−0.375571	−	0.926794i	$-0.622553\pi$
$131$	2.73857	−	1.58112i	0.239270	−	0.138143i	0.614841	+	0.788651i	$0.289220\pi$
$132$	1.28859	−	1.28859i	0.112157	−	0.112157i
$133$	−15.7122	+	4.97529i	−1.36242	+	0.431413i
$134$		−	7.15043i		−	0.617703i
$135$	0.213650	−	0.797354i	0.0183881	−	0.0686253i
$136$	−2.00661	−	7.48877i	−0.172065	−	0.642157i
$137$	0.157670	+	0.588434i	0.0134707	+	0.0502733i	0.972334	−	0.233595i	$-0.0750489\pi$
$137$	0.157670	+	0.588434i	0.0134707	+	0.0502733i	−0.958863	+	0.283868i	$0.908382\pi$
$138$	−1.88735	+	7.04370i	−0.160662	+	0.599599i
$139$			7.61845i			0.646189i	0.946367	+	0.323094i	$0.104723\pi$
$139$			7.61845i			0.646189i	−0.946367	+	0.323094i	$0.895277\pi$
$140$	−2.33764	−	0.515228i	−0.197567	−	0.0435447i
$141$	−5.61317	+	5.61317i	−0.472714	+	0.472714i
$142$	−12.8105	+	7.39617i	−1.07504	+	0.620673i
$143$	0.764400	+	5.94593i	0.0639223	+	0.497223i
$144$	0.303330	−	0.525383i	0.0252775	−	0.0437819i
$145$	−1.29712	−	0.347564i	−0.107720	−	0.0288636i
$146$		−	2.76796i		−	0.229078i
$147$	−5.72417	+	4.02912i	−0.472122	+	0.332317i
$148$	9.19484	+	9.19484i	0.755811	+	0.755811i
$149$	−0.542560	+	2.02486i	−0.0444482	+	0.165883i	−0.984582	−	0.174922i	$-0.944033\pi$
$149$	−0.542560	+	2.02486i	−0.0444482	+	0.165883i	0.940134	+	0.340805i	$0.110699\pi$
$150$	−3.96608	+	1.06271i	−0.323829	+	0.0867698i
$151$	0.729666	+	2.72315i	0.0593794	+	0.221607i	0.989239	−	0.146307i	$-0.0467388\pi$
$151$	0.729666	+	2.72315i	0.0593794	+	0.221607i	−0.929860	+	0.367914i	$0.880072\pi$
$152$	−15.8800	+	9.16833i	−1.28804	+	0.743649i
$153$	−2.63381			−0.212931
$154$	3.52470	−	2.25158i	0.284028	−	0.181437i
$155$		−	0.227186i		−	0.0182480i
$156$	−1.50117	−	3.65556i	−0.120190	−	0.292679i
$157$	−1.72394	−	0.995320i	−0.137586	−	0.0794352i	0.429627	−	0.903006i	$-0.358645\pi$
$157$	−1.72394	−	0.995320i	−0.137586	−	0.0794352i	−0.567213	+	0.823571i	$0.691978\pi$
$158$	14.0269	−	3.75849i	1.11592	−	0.299010i
$159$	−5.91098	+	3.41271i	−0.468772	+	0.270645i
$160$	−4.38368			−0.346560
$161$	9.34775	−	18.0109i	0.736706	−	1.41946i
$162$	−0.672298	−	0.672298i	−0.0528208	−	0.0528208i
$163$	−10.7568	−	2.88227i	−0.842537	−	0.225757i	−0.188361	−	0.982100i	$-0.560318\pi$
$163$	−10.7568	−	2.88227i	−0.842537	−	0.225757i	−0.654176	+	0.756343i	$0.726984\pi$
$164$	10.4645	−	2.80396i	0.817141	−	0.218952i
$165$	0.686254	−	1.18863i	0.0534248	−	0.0925345i
$166$	7.34752	+	12.7263i	0.570278	+	0.987750i
$167$	15.5053	+	15.5053i	1.19984	+	1.19984i	0.974214	+	0.225625i	$0.0724424\pi$
$167$	15.5053	+	15.5053i	1.19984	+	1.19984i	0.225625	+	0.974214i	$0.427558\pi$
$168$	−5.25450	+	5.74845i	−0.405393	+	0.443503i
$169$	12.5363	+	3.44099i	0.964333	+	0.264692i
$170$	−1.03357	−	1.79019i	−0.0792710	−	0.137301i
$171$	1.61226	+	6.01702i	0.123292	+	0.460133i
$172$	1.59550	−	2.76349i	0.121656	−	0.210714i
$173$	−4.72433	−	8.18278i	−0.359184	−	0.622125i	0.628641	−	0.777696i	$-0.283612\pi$
$173$	−4.72433	−	8.18278i	−0.359184	−	0.622125i	−0.987825	+	0.155571i	$0.950278\pi$
$174$	−1.09369	+	1.09369i	−0.0829121	+	0.0829121i
$175$	11.4144	−	0.512425i	0.862847	−	0.0387357i
$176$	0.713244	−	0.713244i	0.0537628	−	0.0537628i
$177$	7.05512	+	1.89041i	0.530296	+	0.142092i
$178$	2.19232	+	1.26573i	0.164321	+	0.0948708i
$179$	−12.6068	−	7.27856i	−0.942279	−	0.544025i	−0.0516048	−	0.998668i	$-0.516434\pi$
$179$	−12.6068	−	7.27856i	−0.942279	−	0.544025i	−0.890674	+	0.454643i	$0.849767\pi$
$180$	−0.234167	+	0.873923i	−0.0174538	+	0.0651384i
$181$	−1.33889			−0.0995190			−0.0497595	−	0.998761i	$-0.515845\pi$
$181$	−1.33889			−0.0995190			−0.0497595	+	0.998761i	$0.515845\pi$
$182$	−1.55876	−	8.93485i	−0.115543	−	0.662295i
$183$	−6.51335			−0.481481
$184$	5.84330	−	21.8075i	0.430774	−	1.60767i
$185$	8.48154	+	4.89682i	0.623576	+	0.360022i
$186$	−0.226611	−	0.130834i	−0.0166160	−	0.00959323i
$187$	−4.22995	−	1.13341i	−0.309325	−	0.0828834i
$188$	6.15220	−	6.15220i	0.448696	−	0.448696i
$189$	1.42430	+	2.22965i	0.103603	+	0.162183i
$190$	−3.45706	+	3.45706i	−0.250802	+	0.250802i
$191$	3.87357	+	6.70922i	0.280282	+	0.485462i	0.971454	−	0.237228i	$-0.0762388\pi$
$191$	3.87357	+	6.70922i	0.280282	+	0.485462i	−0.691172	+	0.722690i	$0.742905\pi$
$192$	−3.13118	+	5.42336i	−0.225973	+	0.391397i
$193$	4.99482	+	18.6409i	0.359535	+	1.34180i	0.874680	+	0.484700i	$0.161071\pi$
$193$	4.99482	+	18.6409i	0.359535	+	1.34180i	−0.515145	+	0.857103i	$0.672262\pi$
$194$	−3.18336	−	5.51374i	−0.228552	−	0.395863i
$195$	−1.80467	−	2.36677i	−0.129235	−	0.169488i
$196$	6.27386	−	4.41604i	0.448133	−	0.315431i
$197$	5.42243	+	5.42243i	0.386332	+	0.386332i	0.873377	−	0.487045i	$-0.161925\pi$
$197$	5.42243	+	5.42243i	0.386332	+	0.386332i	−0.487045	+	0.873377i	$0.661925\pi$
$198$	−0.790414	−	1.36904i	−0.0561723	−	0.0972932i
$199$	−12.3806	+	21.4438i	−0.877635	+	1.52011i	−0.0237055	+	0.999719i	$0.507546\pi$
$199$	−12.3806	+	21.4438i	−0.877635	+	1.52011i	−0.853929	+	0.520389i	$0.825787\pi$
$200$	12.2791	−	3.29018i	0.868264	−	0.232651i
$201$	7.26439	+	1.94649i	0.512390	+	0.137295i
$202$	−1.31703	−	1.31703i	−0.0926657	−	0.0926657i
$203$	3.62717	−	2.31704i	0.254578	−	0.162624i
$204$	2.88673			0.202112
$205$	7.06628	−	4.07972i	0.493530	−	0.284940i
$206$	2.98712	−	0.800396i	0.208122	−	0.0557662i
$207$	−6.64218	−	3.83486i	−0.461663	−	0.266541i
$208$	−0.830908	−	2.02338i	−0.0576131	−	0.140296i
$209$			10.3573i			0.716427i
$210$	−0.956559	+	1.84306i	−0.0660088	+	0.127183i
$211$	−5.16576			−0.355626			−0.177813	−	0.984064i	$-0.556902\pi$
$211$	−5.16576			−0.355626			−0.177813	+	0.984064i	$0.556902\pi$
$212$	6.47861	−	3.74043i	0.444953	−	0.256894i
$213$	−4.02676	−	15.0281i	−0.275909	−	1.02971i
$214$	−8.84103	+	2.36895i	−0.604360	+	0.161938i
$215$	0.622025	−	2.32143i	0.0424218	−	0.158320i
$216$	2.08146	+	2.08146i	0.141625	+	0.141625i
$217$	0.537456	+	0.491273i	0.0364849	+	0.0333498i
$218$			0.517992i			0.0350828i
$219$	2.81207	+	0.753492i	0.190022	+	0.0509163i
$220$	−0.752154	+	1.30277i	−0.0507102	+	0.0878327i
$221$	−5.80390	+	7.51633i	−0.390412	+	0.505603i
$222$	9.76888	−	5.64007i	0.655644	−	0.378536i
$223$	−5.03109	+	5.03109i	−0.336906	+	0.336906i	−0.855202	−	0.518295i	$-0.826567\pi$
$223$	−5.03109	+	5.03109i	−0.336906	+	0.336906i	0.518295	+	0.855202i	$0.326567\pi$
$224$	9.47939	−	10.3705i	0.633368	−	0.692909i
$225$		−	4.31858i		−	0.287905i
$226$	0.00629815	−	0.0235050i	0.000418946	−	0.00156353i
$227$	−6.22524	−	23.2329i	−0.413184	−	1.54202i	−0.788446	−	0.615104i	$-0.789114\pi$
$227$	−6.22524	−	23.2329i	−0.413184	−	1.54202i	0.375262	−	0.926919i	$-0.377553\pi$
$228$	−1.76708	−	6.59483i	−0.117028	−	0.436754i
$229$	−2.40790	+	8.98640i	−0.159118	+	0.593838i	0.839599	+	0.543207i	$0.182790\pi$
$229$	−2.40790	+	8.98640i	−0.159118	+	0.593838i	−0.998717	+	0.0506313i	$0.983877\pi$
$230$		−	6.01955i		−	0.396918i
$231$	1.32797	+	4.19380i	0.0873740	+	0.275932i
$232$	3.38609	−	3.38609i	0.222307	−	0.222307i
$233$	−5.66718	+	3.27195i	−0.371269	+	0.214352i	−0.674013	−	0.738720i	$-0.735431\pi$
$233$	−5.66718	+	3.27195i	−0.371269	+	0.214352i	0.302744	+	0.953072i	$0.402097\pi$
$234$	−3.40008	+	0.437109i	−0.222270	+	0.0285747i
$235$	3.27643	−	5.67494i	0.213731	−	0.370192i
$236$	−7.73262	−	2.07195i	−0.503351	−	0.134872i
$237$			15.2736i			0.992124i
$238$	6.47009	+	1.42604i	0.419393	+	0.0924364i
$239$	−5.12266	−	5.12266i	−0.331357	−	0.331357i	0.521745	−	0.853102i	$-0.325281\pi$
$239$	−5.12266	−	5.12266i	−0.331357	−	0.331357i	−0.853102	+	0.521745i	$0.825281\pi$
$240$	−0.129613	+	0.483723i	−0.00836649	+	0.0312242i
$241$	5.31093	−	1.42306i	0.342107	−	0.0916672i	−0.0836750	−	0.996493i	$-0.526666\pi$
$241$	5.31093	−	1.42306i	0.342107	−	0.0916672i	0.425782	+	0.904826i	$0.359999\pi$
$242$	2.02658	+	7.56330i	0.130274	+	0.486187i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	7.13883			0.457017
$245$	3.70337	−	4.43561i	0.236600	−	0.283381i
$246$		−	9.39788i		−	0.599187i
$247$	20.7241	+	8.65816i	1.31864	+	0.550905i
$248$	0.701596	+	0.405066i	0.0445514	+	0.0257217i
$249$	−14.9292	+	4.00027i	−0.946101	+	0.253507i
$250$	6.33381	−	3.65683i	0.400585	−	0.231278i
$251$	−4.19610			−0.264855			−0.132428	−	0.991193i	$-0.542277\pi$
$251$	−4.19610			−0.264855			−0.132428	+	0.991193i	$0.542277\pi$
$252$	−1.56108	−	2.44377i	−0.0983387	−	0.153943i
$253$	−9.01721	−	9.01721i	−0.566907	−	0.566907i
$254$	−7.70942	−	2.06573i	−0.483732	−	0.129616i
$255$	2.10008	−	0.562714i	0.131512	−	0.0352385i
$256$	8.48090	−	14.6893i	0.530056	−	0.918084i
$257$	−14.1130	−	24.4445i	−0.880348	−	1.52481i	−0.850955	−	0.525239i	$-0.823976\pi$
$257$	−14.1130	−	24.4445i	−0.880348	−	1.52481i	−0.0293931	−	0.999568i	$-0.509357\pi$
$258$	−1.95734	−	1.95734i	−0.121859	−	0.121859i
$259$	−29.9252	+	9.47584i	−1.85946	+	0.588800i
$260$	1.97798	+	2.59405i	0.122669	+	0.160876i
$261$	−0.813393	−	1.40884i	−0.0503478	−	0.0872049i
$262$	0.778157	+	2.90412i	0.0480747	+	0.179417i
$263$	13.8123	−	23.9236i	0.851704	−	1.47519i	−0.0279653	−	0.999609i	$-0.508903\pi$
$263$	13.8123	−	23.9236i	0.851704	−	1.47519i	0.879669	−	0.475586i	$-0.157764\pi$
$264$	2.44715	+	4.23858i	0.150611	+	0.260867i
$265$	3.98402	−	3.98402i	0.244736	−	0.244736i
$266$	−0.702756	−	15.6541i	−0.0430887	−	0.959812i
$267$	−1.88270	+	1.88270i	−0.115219	+	0.115219i
$268$	−7.96198	−	2.13341i	−0.486355	−	0.130319i
$269$	20.5850	+	11.8848i	1.25509	+	0.724627i	0.972116	−	0.234501i	$-0.0753456\pi$
$269$	20.5850	+	11.8848i	1.25509	+	0.724627i	0.282974	+	0.959128i	$0.408679\pi$
$270$	0.679697	+	0.392423i	0.0413650	+	0.0238821i
$271$	5.95123	−	22.2103i	0.361512	−	1.34918i	−0.510577	−	0.859832i	$-0.670568\pi$
$271$	5.95123	−	22.2103i	0.361512	−	1.34918i	0.872089	−	0.489348i	$-0.162765\pi$
$272$	1.59783			0.0968825
$273$	9.50157	+	0.848639i	0.575061	+	0.0513620i
$274$	−0.579204			−0.0349910
$275$	1.85842	−	6.93573i	0.112067	−	0.418240i
$276$	7.28002	+	4.20312i	0.438206	+	0.252998i
$277$	−9.47021	−	5.46763i	−0.569010	−	0.328518i	0.187744	−	0.982218i	$-0.439882\pi$
$277$	−9.47021	−	5.46763i	−0.569010	−	0.328518i	−0.756754	+	0.653700i	$0.773216\pi$
$278$	−6.99661	−	1.87474i	−0.419629	−	0.112439i
$279$	0.194607	−	0.194607i	0.0116508	−	0.0116508i
$280$	2.96153	−	5.70617i	0.176986	−	0.341009i
$281$	7.47632	−	7.47632i	0.446000	−	0.446000i	−0.448023	−	0.894022i	$-0.647872\pi$
$281$	7.47632	−	7.47632i	0.446000	−	0.446000i	0.894022	+	0.448023i	$0.147872\pi$
$282$	−3.77373	−	6.53629i	−0.224722	−	0.389230i
$283$	14.6668	−	25.4036i	0.871849	−	1.51009i	0.0117666	−	0.999931i	$-0.496254\pi$
$283$	14.6668	−	25.4036i	0.871849	−	1.51009i	0.860082	−	0.510156i	$-0.170412\pi$
$284$	4.41345	+	16.4712i	0.261890	+	0.977387i
$285$	−2.57108	−	4.45324i	−0.152297	−	0.263787i
$286$	−5.64870	−	0.761157i	−0.334015	−	0.0450082i
$287$	−5.62889	+	25.5389i	−0.332263	+	1.50751i
$288$	−3.75506	−	3.75506i	−0.221269	−	0.221269i
$289$	5.03152	+	8.71485i	0.295972	+	0.512638i
$290$	0.638389	−	1.10572i	0.0374875	−	0.0649302i
$291$	6.46818	−	1.73314i	0.379171	−	0.101599i
$292$	−3.08211	−	0.825849i	−0.180367	−	0.0483292i
$293$	0.419685	+	0.419685i	0.0245183	+	0.0245183i	0.719260	−	0.694741i	$-0.244481\pi$
$293$	0.419685	+	0.419685i	0.0245183	+	0.0245183i	−0.694741	+	0.719260i	$0.744481\pi$
$294$	−2.29166	−	6.24843i	−0.133652	−	0.364416i
$295$	−6.02932			−0.351040
$296$	−30.2447	+	17.4618i	−1.75794	+	1.01495i
$297$	1.60602	−	0.430332i	0.0931908	−	0.0249704i
$298$	−1.72607	−	0.996549i	−0.0999887	−	0.0577285i
$299$	−25.5807	+	10.5048i	−1.47937	+	0.607508i
$300$			4.73329i			0.273277i
$301$	4.14674	+	6.49145i	0.239014	+	0.374161i
$302$	−2.68043			−0.154242
$303$	1.69654	−	0.979496i	0.0974635	−	0.0562706i
$304$	−0.978092	−	3.65029i	−0.0560974	−	0.209358i
$305$	5.19345	−	1.39158i	0.297376	−	0.0796816i
$306$	0.648124	−	2.41883i	0.0370508	−	0.138275i
$307$	−3.75766	−	3.75766i	−0.214461	−	0.214461i	0.591698	−	0.806159i	$-0.298458\pi$
$307$	−3.75766	−	3.75766i	−0.214461	−	0.214461i	−0.806159	+	0.591698i	$0.798458\pi$
$308$	−1.45549	−	4.59652i	−0.0829345	−	0.261911i
$309$			3.25261i			0.185034i
$310$	0.208642	+	0.0559055i	0.0118501	+	0.00317522i
$311$	−4.59532	+	7.95933i	−0.260577	+	0.451332i	−0.966395	−	0.257060i	$-0.917246\pi$
$311$	−4.59532	+	7.95933i	−0.260577	+	0.451332i	0.705818	+	0.708393i	$0.250579\pi$
$312$	10.5268	−	1.35330i	0.595960	−	0.0766157i
$313$	3.39998	−	1.96298i	0.192178	−	0.110954i	−0.400824	−	0.916155i	$-0.631276\pi$
$313$	3.39998	−	1.96298i	0.192178	−	0.110954i	0.593002	+	0.805201i	$0.297943\pi$
$314$	1.33830	−	1.33830i	0.0755249	−	0.0755249i
$315$	−1.61204	−	1.47352i	−0.0908282	−	0.0830235i
$316$		−	16.7403i		−	0.941714i
$317$	−3.74779	+	13.9869i	−0.210497	+	0.785585i	0.777206	+	0.629246i	$0.216636\pi$
$317$	−3.74779	+	13.9869i	−0.210497	+	0.785585i	−0.987703	+	0.156340i	$0.950031\pi$
$318$	−1.67959	−	6.26830i	−0.0941866	−	0.351509i
$319$	−0.700059	−	2.61265i	−0.0391958	−	0.146281i
$320$	1.33795	−	4.99331i	0.0747939	−	0.279135i
$321$		−	9.62680i		−	0.537316i
$322$	14.2405	+	13.0168i	0.793593	+	0.725401i
$323$	−11.6013	+	11.6013i	−0.645515	+	0.645515i
$324$	−0.949189	+	0.548015i	−0.0527327	+	0.0304453i
$325$	−12.3243	−	9.51648i	−0.683629	−	0.527879i
$326$	5.29403	−	9.16952i	0.293209	−	0.507853i
$327$	−0.526247	−	0.141007i	−0.0291015	−	0.00779773i
$328$			29.0961i			1.60656i
$329$	6.34022	+	20.0227i	0.349548	+	1.10389i
$330$	0.922735	+	0.922735i	0.0507949	+	0.0507949i
$331$	3.09914	−	11.5661i	0.170344	−	0.635733i	−0.826954	−	0.562270i	$-0.809928\pi$
$331$	3.09914	−	11.5661i	0.170344	−	0.635733i	0.997298	−	0.0734629i	$-0.0234050\pi$
$332$	16.3629	−	4.38442i	0.898029	−	0.240626i
$333$	3.07067	+	11.4599i	0.168272	+	0.627999i
$334$	−18.0553	+	10.4242i	−0.987940	+	0.570388i
$335$	−6.20815			−0.339188
$336$	−0.864068	−	1.35264i	−0.0471388	−	0.0737927i
$337$		−	13.6434i		−	0.743201i	−0.928393	−	0.371601i	$-0.878809\pi$
$337$		−	13.6434i		−	0.743201i	0.928393	−	0.371601i	$-0.121191\pi$
$338$	−6.24505	+	10.6663i	−0.339686	+	0.580171i
$339$	0.0221651	+	0.0127970i	0.00120384	+	0.000695040i
$340$	−2.30175	+	0.616752i	−0.124830	+	0.0334480i
$341$	0.396289	−	0.228798i	0.0214603	−	0.0123901i
$342$	−5.92264			−0.320259
$343$	2.48509	+	18.3528i	0.134182	+	0.990957i
$344$	6.05999	+	6.05999i	0.326733	+	0.326733i
$345$	6.11549	+	1.63864i	0.329247	+	0.0882214i
$346$	8.67743	−	2.32511i	0.466501	−	0.124999i
$347$	1.71815	−	2.97593i	0.0922352	−	0.159756i	−0.816216	−	0.577747i	$-0.803932\pi$
$347$	1.71815	−	2.97593i	0.0922352	−	0.159756i	0.908451	+	0.417991i	$0.137265\pi$
$348$	0.891503	+	1.54413i	0.0477896	+	0.0827740i
$349$	−2.52114	−	2.52114i	−0.134954	−	0.134954i	0.636403	−	0.771357i	$-0.280422\pi$
$349$	−2.52114	−	2.52114i	−0.134954	−	0.134954i	−0.771357	+	0.636403i	$0.780422\pi$
$350$	−2.33824	+	10.6088i	−0.124984	+	0.567065i
$351$	0.481493	−	3.57326i	0.0257002	−	0.190726i
$352$	−4.41478	−	7.64662i	−0.235308	−	0.407566i
$353$	−0.705719	−	2.63378i	−0.0375616	−	0.140182i	0.944599	−	0.328228i	$-0.106451\pi$
$353$	−0.705719	−	2.63378i	−0.0375616	−	0.140182i	−0.982160	+	0.188046i	$0.939785\pi$
$354$	−3.47223	+	6.01407i	−0.184547	+	0.319644i
$355$	6.42151	+	11.1224i	0.340818	+	0.590315i
$356$	2.06349	−	2.06349i	0.109365	−	0.109365i
$357$	−3.21005	+	6.18500i	−0.169894	+	0.327345i
$358$	9.78673	−	9.78673i	0.517245	−	0.517245i
$359$	−12.0592	−	3.23126i	−0.636462	−	0.170540i	−0.0738618	−	0.997268i	$-0.523532\pi$
$359$	−12.0592	−	3.23126i	−0.636462	−	0.170540i	−0.562600	+	0.826729i	$0.690199\pi$
$360$	−2.10436	−	1.21495i	−0.110910	−	0.0640337i
$361$	17.1507	+	9.90196i	0.902669	+	0.521156i
$362$	0.329472	−	1.22961i	0.0173167	−	0.0646267i
$363$	−8.23551			−0.432252
$364$	−10.4140	−	0.930134i	−0.545842	−	0.0487523i
$365$	−2.40320			−0.125789
$366$	1.60279	−	5.98171i	0.0837794	−	0.312669i
$367$	−11.6488	−	6.72544i	−0.608063	−	0.351065i	0.164144	−	0.986436i	$-0.447514\pi$
$367$	−11.6488	−	6.72544i	−0.608063	−	0.351065i	−0.772207	+	0.635371i	$0.780847\pi$
$368$	4.02955	+	2.32646i	0.210055	+	0.121275i
$369$	9.54765	+	2.55829i	0.497031	+	0.133179i
$370$	−6.58425	+	6.58425i	−0.342299	+	0.342299i
$371$	0.809877	+	18.0402i	0.0420467	+	0.936600i
$372$	−0.213295	+	0.213295i	−0.0110588	+	0.0110588i
$373$	6.33887	+	10.9792i	0.328214	+	0.568484i	0.982158	−	0.188060i	$-0.0602199\pi$
$373$	6.33887	+	10.9792i	0.328214	+	0.568484i	−0.653943	+	0.756543i	$0.726887\pi$
$374$	2.08180	−	3.60578i	0.107647	−	0.186451i
$375$	1.99092	+	7.43021i	0.102811	+	0.383694i
$376$	11.6836	+	20.2365i	0.602534	+	1.04362i
$377$	−5.81293	−	0.783286i	−0.299381	−	0.0403413i
$378$	−2.39815	+	0.759378i	−0.123348	+	0.0390582i
$379$	4.68530	+	4.68530i	0.240667	+	0.240667i	0.817126	−	0.576459i	$-0.195566\pi$
$379$	4.68530	+	4.68530i	0.240667	+	0.240667i	−0.576459	+	0.817126i	$0.695566\pi$
$380$	2.81798	+	4.88088i	0.144559	+	0.250384i
$381$	4.19731	−	7.26995i	0.215035	−	0.372451i
$382$	−7.11480	+	1.90640i	−0.364025	+	0.0975401i
$383$	33.1452	+	8.88124i	1.69364	+	0.453810i	0.971326	−	0.237752i	$-0.0764105\pi$
$383$	33.1452	+	8.88124i	1.69364	+	0.453810i	0.722317	+	0.691562i	$0.243077\pi$
$384$	3.29994	+	3.29994i	0.168399	+	0.168399i
$385$	−1.95487	−	3.06022i	−0.0996293	−	0.155963i
$386$	−18.3485			−0.933915
$387$	2.52136	−	1.45571i	0.128168	−	0.0739978i
$388$	−7.08932	+	1.89958i	−0.359906	+	0.0964364i
$389$	33.5602	+	19.3760i	1.70157	+	0.982402i	0.944175	+	0.329444i	$0.106861\pi$
$389$	33.5602	+	19.3760i	1.70157	+	0.982402i	0.757394	+	0.652958i	$0.226472\pi$
$390$	2.61768	−	1.07496i	0.132551	−	0.0544327i
$391$		−	20.2006i		−	1.02159i
$392$	7.09504	+	19.3453i	0.358354	+	0.977086i
$393$	−3.16223			−0.159513
$394$	−6.31418	+	3.64549i	−0.318104	+	0.183657i
$395$	−3.26320	−	12.1784i	−0.164189	−	0.612763i
$396$	−1.76025	+	0.471657i	−0.0884557	+	0.0237016i
$397$	−0.697319	+	2.60243i	−0.0349974	+	0.130612i	−0.981214	−	0.192921i	$-0.938204\pi$
$397$	−0.697319	+	2.60243i	−0.0349974	+	0.130612i	0.946217	+	0.323533i	$0.104871\pi$
$398$	−16.6469	−	16.6469i	−0.834432	−	0.834432i
$399$	16.0948	+	3.54738i	0.805749	+	0.177591i
$400$			2.61991i			0.130996i
$401$	−21.3811	−	5.72905i	−1.06772	−	0.286095i	−0.318165	−	0.948035i	$-0.603067\pi$
$401$	−21.3811	−	5.72905i	−1.06772	−	0.286095i	−0.749557	+	0.661940i	$0.769733\pi$
$402$	−3.57522	+	6.19246i	−0.178316	+	0.308852i
$403$	−0.126528	−	0.984207i	−0.00630282	−	0.0490268i
$404$	−1.85945	+	1.07356i	−0.0925113	+	0.0534114i
$405$	−0.583704	+	0.583704i	−0.0290045	+	0.0290045i
$406$	1.23535	+	3.90128i	0.0613092	+	0.193617i
$407$			19.7262i			0.977794i
$408$	−2.00661	+	7.48877i	−0.0993420	+	0.370749i
$409$	−6.57304	−	24.5309i	−0.325016	−	1.21298i	−0.914296	−	0.405047i	$-0.867255\pi$
$409$	−6.57304	−	24.5309i	−0.325016	−	1.21298i	0.589280	−	0.807929i	$-0.299412\pi$
$410$	2.00786	+	7.49344i	0.0991612	+	0.370074i
$411$	0.157670	−	0.588434i	0.00777731	−	0.0290253i
$412$		−	3.56495i		−	0.175633i
$413$	13.0380	−	14.2636i	0.641556	−	0.701866i
$414$	5.15635	−	5.15635i	0.253421	−	0.253421i
$415$	11.0492	−	6.37927i	0.542385	−	0.313146i
$416$	−18.9908	+	2.44143i	−0.931101	+	0.119701i
$417$	3.80923	−	6.59778i	0.186539	−	0.323094i
$418$	−9.51188	−	2.54870i	−0.465241	−	0.124661i
$419$		−	4.80570i		−	0.234774i	−0.993086	−	0.117387i	$-0.962548\pi$
$419$		−	4.80570i		−	0.234774i	0.993086	−	0.117387i	$-0.0374518\pi$
$420$	1.76684	+	1.61502i	0.0862132	+	0.0788050i
$421$	−12.4689	−	12.4689i	−0.607699	−	0.607699i	0.334645	−	0.942344i	$-0.391383\pi$
$421$	−12.4689	−	12.4689i	−0.607699	−	0.607699i	−0.942344	+	0.334645i	$0.891383\pi$
$422$	1.27118	−	4.74412i	0.0618802	−	0.230940i
$423$	7.66774	−	2.05456i	0.372818	−	0.0998963i
$424$	5.20005	+	19.4069i	0.252537	+	0.942480i
$425$	9.85045	−	5.68716i	0.477817	−	0.275868i
$426$	14.7923			0.716691
$427$	−7.93838	+	15.2954i	−0.384165	+	0.740195i
$428$			10.5513i			0.510014i
$429$	2.31097	−	5.53152i	0.111575	−	0.267065i
$430$	1.97888	+	1.14251i	0.0954301	+	0.0550966i
$431$	29.6332	−	7.94019i	1.42738	−	0.382466i	0.539285	−	0.842123i	$-0.318695\pi$
$431$	29.6332	−	7.94019i	1.42738	−	0.382466i	0.888096	+	0.459658i	$0.152028\pi$
$432$	−0.525383	+	0.303330i	−0.0252775	+	0.0145940i
$433$	−19.5928			−0.941570			−0.470785	−	0.882248i	$-0.656029\pi$
$433$	−19.5928			−0.941570			−0.470785	+	0.882248i	$0.656029\pi$
$434$	−0.583430	+	0.372695i	−0.0280055	+	0.0178899i
$435$	0.949561	+	0.949561i	0.0455280	+	0.0455280i
$436$	0.576782	+	0.154548i	0.0276229	+	0.00740152i
$437$	−46.1489	+	12.3656i	−2.20760	+	0.591525i
$438$	−1.38398	+	2.39712i	−0.0661291	+	0.114539i
$439$	−14.6233	−	25.3283i	−0.697932	−	1.20885i	−0.969182	−	0.246345i	$-0.920770\pi$
$439$	−14.6233	−	25.3283i	−0.697932	−	1.20885i	0.271250	−	0.962509i	$-0.412563\pi$
$440$	−2.85681	−	2.85681i	−0.136193	−	0.136193i
$441$	6.97184	−	0.627237i	0.331992	−	0.0298684i
$442$	−5.47461	−	7.17977i	−0.260400	−	0.341507i
$443$	18.0043	+	31.1844i	0.855411	+	1.48162i	0.876263	+	0.481833i	$0.160029\pi$
$443$	18.0043	+	31.1844i	0.855411	+	1.48162i	−0.0208518	+	0.999783i	$0.506638\pi$
$444$	−3.36555	−	12.5604i	−0.159722	−	0.596090i
$445$	1.09894	−	1.90341i	0.0520946	−	0.0902305i
$446$	−3.38239	−	5.85847i	−0.160161	−	0.277407i
$447$	1.48230	−	1.48230i	0.0701104	−	0.0701104i
$448$	8.91950	+	13.9629i	0.421407	+	0.659685i
$449$	−18.6383	+	18.6383i	−0.879595	+	0.879595i	−0.993493	−	0.113897i	$-0.963667\pi$
$449$	−18.6383	+	18.6383i	−0.879595	+	0.879595i	0.113897	+	0.993493i	$0.463667\pi$
$450$	3.96608	+	1.06271i	0.186963	+	0.0500966i
$451$	14.2328	+	8.21732i	0.670197	+	0.386939i
$452$	−0.0242936	−	0.0140259i	−0.00114268	−	0.000659724i
$453$	0.729666	−	2.72315i	0.0342827	−	0.127945i
$454$	22.8685			1.07327
$455$	−7.75742	+	1.35335i	−0.363674	+	0.0634459i
$456$	18.3367			0.858692
$457$	−7.02291	+	26.2098i	−0.328518	+	1.22605i	0.582210	+	0.813038i	$0.302188\pi$
$457$	−7.02291	+	26.2098i	−0.328518	+	1.22605i	−0.910728	+	0.413007i	$0.864479\pi$
$458$	−7.66037	−	4.42272i	−0.357946	−	0.206660i
$459$	2.28095	+	1.31690i	0.106465	+	0.0614679i
$460$	−6.70275	−	1.79600i	−0.312517	−	0.0837388i
$461$	−17.4101	+	17.4101i	−0.810871	+	0.810871i	−0.984765	−	0.173893i	$-0.944365\pi$
$461$	−17.4101	+	17.4101i	−0.810871	+	0.810871i	0.173893	+	0.984765i	$0.444365\pi$
$462$	−4.17827	+	0.187575i	−0.194391	+	0.00872677i
$463$	4.54005	−	4.54005i	0.210994	−	0.210994i	−0.593696	−	0.804690i	$-0.702332\pi$
$463$	4.54005	−	4.54005i	0.210994	−	0.210994i	0.804690	+	0.593696i	$0.202332\pi$
$464$	0.493453	+	0.854686i	0.0229080	+	0.0396778i
$465$	−0.113593	+	0.196749i	−0.00526775	+	0.00912401i
$466$	−1.61031	−	6.00976i	−0.0745962	−	0.278397i
$467$	−9.61792	−	16.6587i	−0.445064	−	0.770874i	0.552992	−	0.833186i	$-0.313486\pi$
$467$	−9.61792	−	16.6587i	−0.445064	−	0.770874i	−0.998057	+	0.0623122i	$0.980153\pi$
$468$	−0.527730	+	3.91640i	−0.0243943	+	0.181035i
$469$	13.4247	−	14.6867i	0.619894	−	0.678168i
$470$	4.40548	+	4.40548i	0.203209	+	0.203209i
$471$	0.995320	+	1.72394i	0.0458619	+	0.0794352i
$472$	10.7501	−	18.6197i	0.494814	−	0.857043i
$473$	4.67580	−	1.25288i	0.214993	−	0.0576073i
$474$	−14.0269	−	3.75849i	−0.644276	−	0.172633i
$475$	−19.0223	−	19.0223i	−0.872805	−	0.872805i
$476$	3.51831	−	6.77895i	0.161261	−	0.310712i
$477$	6.82542			0.312514
$478$	5.96510	−	3.44395i	0.272837	−	0.157523i
$479$	−8.42700	+	2.25801i	−0.385040	+	0.103171i	−0.446146	−	0.894960i	$-0.647204\pi$
$479$	−8.42700	+	2.25801i	−0.385040	+	0.103171i	0.0611063	+	0.998131i	$0.480537\pi$
$480$	3.79638	+	2.19184i	0.173280	+	0.100043i
$481$	39.4707	+	16.4902i	1.79971	+	0.751886i
$482$			5.22761i			0.238111i
$483$	−17.1008	+	10.9240i	−0.778115	+	0.497060i
$484$	9.02636			0.410289
$485$	−4.78714	+	2.76386i	−0.217373	+	0.125500i
$486$	0.246078	+	0.918377i	0.0111623	+	0.0416584i
$487$	−22.8488	+	6.12233i	−1.03538	+	0.277429i	−0.736197	−	0.676767i	$-0.763380\pi$
$487$	−22.8488	+	6.12233i	−1.03538	+	0.277429i	−0.299182	+	0.954196i	$0.596714\pi$
$488$	−4.96230	+	18.5196i	−0.224633	+	0.838341i
$489$	7.87452	+	7.87452i	0.356098	+	0.356098i
$490$	3.16224	+	4.49259i	0.142856	+	0.202955i
$491$		−	14.6061i		−	0.659165i	−0.944127	−	0.329583i	$-0.893092\pi$
$491$		−	14.6061i		−	0.659165i	0.944127	−	0.329583i	$-0.106908\pi$
$492$	−10.4645	−	2.80396i	−0.471777	−	0.126412i
$493$	2.14232	−	3.71061i	0.0964854	−	0.167118i
$494$	−13.0512	+	16.9019i	−0.587201	+	0.760454i
$495$	−1.18863	+	0.686254i	−0.0534248	+	0.0308448i
$496$	−0.118061	+	0.118061i	−0.00530107	+	0.00530107i
$497$	−40.1984	−	8.85992i	−1.80314	−	0.397422i
$498$		−	14.6950i		−	0.658500i
$499$	−3.10611	+	11.5922i	−0.139049	+	0.518937i	0.860900	+	0.508775i	$0.169901\pi$
$499$	−3.10611	+	11.5922i	−0.139049	+	0.518937i	−0.999948	+	0.0101620i	$0.996765\pi$
$500$	−2.18210	−	8.14372i	−0.0975867	−	0.364198i
$501$	−5.67535	−	21.1807i	−0.253556	−	0.946283i
$502$	1.03257	−	3.85360i	0.0460858	−	0.171994i
$503$			13.9168i			0.620521i	0.950652	+	0.310261i	$0.100416\pi$
$503$			13.9168i			0.620521i	−0.950652	+	0.310261i	$0.899584\pi$
$504$	7.42475	−	2.35106i	0.330725	−	0.104724i
$505$	−1.14347	+	1.14347i	−0.0508838	+	0.0508838i
$506$	10.5001	−	6.06226i	0.466788	−	0.269500i
$507$	−9.13628	−	9.24815i	−0.405757	−	0.410725i
$508$	−4.60037	+	7.96808i	−0.204109	+	0.353526i
$509$	−7.30901	−	1.95844i	−0.323966	−	0.0868064i	0.0931708	−	0.995650i	$-0.470300\pi$
$509$	−7.30901	−	1.95844i	−0.323966	−	0.0868064i	−0.417137	+	0.908844i	$0.636966\pi$
$510$			2.06714i			0.0915343i
$511$	5.19674	−	5.68527i	0.229890	−	0.251501i
$512$	4.80352	+	4.80352i	0.212287	+	0.212287i
$513$	1.61226	−	6.01702i	0.0711829	−	0.265658i
$514$	25.9222	−	6.94583i	1.14338	−	0.306367i
$515$	−0.694920	−	2.59348i	−0.0306219	−	0.114282i
$516$	−2.76349	+	1.59550i	−0.121656	+	0.0702379i
$517$	13.1987			0.580478
$518$	−1.33846	−	29.8144i	−0.0588083	−	1.30997i
$519$			9.44866i			0.414750i
$520$	−8.10441	+	3.32811i	−0.355402	+	0.145947i
$521$	−16.8823	−	9.74701i	−0.739628	−	0.427024i	0.0823062	−	0.996607i	$-0.473771\pi$
$521$	−16.8823	−	9.74701i	−0.739628	−	0.427024i	−0.821934	+	0.569583i	$0.807105\pi$
$522$	1.49400	−	0.400317i	0.0653907	−	0.0175214i
$523$	−22.5532	+	13.0211i	−0.986182	+	0.569372i	−0.904131	−	0.427256i	$-0.859480\pi$
$523$	−22.5532	+	13.0211i	−0.986182	+	0.569372i	−0.0820510	+	0.996628i	$0.526147\pi$
$524$	3.46590			0.151408
$525$	−10.1414	−	5.26342i	−0.442606	−	0.229715i
$526$	18.5720	+	18.5720i	0.809778	+	0.809778i
$527$	0.700168	+	0.187609i	0.0304998	+	0.00817240i
$528$	−0.974309	+	0.261065i	−0.0424014	+	0.0113614i
$529$	17.9123	−	31.0251i	0.778798	−	1.34892i
$530$	2.67845	+	4.63921i	0.116344	+	0.201515i
$531$	−5.16471	−	5.16471i	−0.224129	−	0.224129i
$532$	−17.6404	−	3.88803i	−0.764809	−	0.168568i
$533$	28.3401	−	21.6095i	1.22755	−	0.936010i
$534$	−1.26573	−	2.19232i	−0.0547737	−	0.0948708i
$535$	2.05677	+	7.67597i	0.0889219	+	0.331861i
$536$	11.0690	−	19.1720i	0.478107	−	0.828105i
$537$	7.27856	+	12.6068i	0.314093	+	0.544025i
$538$	−15.9802	+	15.9802i	−0.688956	+	0.688956i
$539$	11.4668	+	1.99285i	0.493912	+	0.0858382i
$540$	0.639756	−	0.639756i	0.0275307	−	0.0275307i
$541$	8.35648	+	2.23911i	0.359273	+	0.0962669i	0.433940	−	0.900942i	$-0.357123\pi$
$541$	8.35648	+	2.23911i	0.359273	+	0.0962669i	−0.0746673	+	0.997208i	$0.523789\pi$
$542$	18.9330	+	10.9310i	0.813240	+	0.469525i
$543$	1.15951	+	0.669446i	0.0497595	+	0.0287287i
$544$	3.62003	−	13.5101i	0.155207	−	0.579242i
$545$	0.449731			0.0192644
$546$	−3.11750	+	8.51719i	−0.133417	+	0.364502i
$547$	−35.0884			−1.50027			−0.750136	−	0.661283i	$-0.770012\pi$
$547$	−35.0884			−1.50027			−0.750136	+	0.661283i	$0.770012\pi$
$548$	−0.172811	+	0.644941i	−0.00738214	+	0.0275505i
$549$	5.64073	+	3.25668i	0.240740	+	0.138992i
$550$	5.91230	+	3.41347i	0.252101	+	0.145551i
$551$	−9.78841	−	2.62280i	−0.417000	−	0.111735i
$552$	−15.9642	+	15.9642i	−0.679481	+	0.679481i
$553$	35.8671	+	18.6152i	1.52522	+	0.791599i
$554$	7.35175	−	7.35175i	0.312346	−	0.312346i
$555$	−4.89682	−	8.48154i	−0.207859	−	0.360022i
$556$	−4.17503	+	7.23136i	−0.177061	+	0.306678i
$557$	−8.21373	−	30.6540i	−0.348027	−	1.29885i	−0.889036	−	0.457837i	$-0.848624\pi$
$557$	−8.21373	−	30.6540i	−0.348027	−	1.29885i	0.541010	−	0.841016i	$-0.318042\pi$
$558$	0.130834	+	0.226611i	0.00553865	+	0.00959323i
$559$	1.40183	−	10.4032i	0.0592909	−	0.440010i
$560$	0.977961	+	0.893926i	0.0413264	+	0.0377753i
$561$	3.09654	+	3.09654i	0.130736	+	0.130736i
$562$	5.02632	+	8.70584i	0.212022	+	0.367233i
$563$	10.8720	−	18.8309i	0.458201	−	0.793627i	−0.540665	−	0.841238i	$-0.681827\pi$
$563$	10.8720	−	18.8309i	0.458201	−	0.793627i	0.998866	+	0.0476107i	$0.0151607\pi$
$564$	−8.40407	+	2.25186i	−0.353875	+	0.0948205i
$565$	−0.0204075	−	0.00546818i	−0.000858551	−	0.000230048i
$566$	19.7209	+	19.7209i	0.828931	+	0.828931i
$567$	−0.118656	−	2.64309i	−0.00498308	−	0.110999i
$568$	−45.7975			−1.92162
$569$	−33.3531	+	19.2564i	−1.39823	+	0.807270i	−0.994208	−	0.107477i	$-0.965723\pi$
$569$	−33.3531	+	19.2564i	−1.39823	+	0.807270i	−0.404026	+	0.914748i	$0.632389\pi$
$570$	4.72244	−	1.26537i	0.197801	−	0.0530006i
$571$	15.5625	+	8.98501i	0.651270	+	0.376011i	0.788943	−	0.614467i	$-0.210629\pi$
$571$	15.5625	+	8.98501i	0.651270	+	0.376011i	−0.137672	+	0.990478i	$0.543962\pi$
$572$	−2.53290	+	6.06271i	−0.105906	+	0.253495i
$573$		−	7.74714i		−	0.323642i
$574$	−22.0691	−	11.4540i	−0.921148	−	0.478081i
$575$	33.1223			1.38130
$576$	5.42336	−	3.13118i	0.225973	−	0.130466i
$577$	1.76575	+	6.58987i	0.0735091	+	0.274340i	0.992891	−	0.119026i	$-0.0379772\pi$
$577$	1.76575	+	6.58987i	0.0735091	+	0.274340i	−0.919382	+	0.393366i	$0.871311\pi$
$578$	−9.24167	+	2.47630i	−0.384403	+	0.103000i
$579$	4.99482	−	18.6409i	0.207578	−	0.774691i
$580$	−1.04075	−	1.04075i	−0.0432147	−	0.0432147i
$581$	−8.80164	+	39.9339i	−0.365153	+	1.65674i
$582$			6.36672i			0.263909i
$583$	10.9618	+	2.93720i	0.453990	+	0.121646i
$584$	4.28484	−	7.42156i	0.177308	−	0.307106i
$585$	0.379508	+	2.95202i	0.0156907	+	0.122051i
$586$	−0.488704	+	0.282154i	−0.0201882	+	0.0116557i
$587$	18.0156	−	18.0156i	0.743585	−	0.743585i	−0.229681	−	0.973266i	$-0.573768\pi$
$587$	18.0156	−	18.0156i	0.743585	−	0.743585i	0.973266	+	0.229681i	$0.0737684\pi$
$588$	−7.64134	+	0.687470i	−0.315124	+	0.0283508i
$589$		−	1.71440i		−	0.0706406i
$590$	1.48368	−	5.53719i	0.0610823	−	0.227962i
$591$	−1.98475	−	7.40718i	−0.0816416	−	0.304691i
$592$	−1.86285	−	6.95227i	−0.0765628	−	0.285736i
$593$	6.20427	−	23.1547i	0.254779	−	0.950848i	−0.713434	−	0.700722i	$-0.752861\pi$
$593$	6.20427	−	23.1547i	0.254779	−	0.950848i	0.968213	−	0.250126i	$-0.0804720\pi$
$594$			1.58083i			0.0648622i
$595$	1.23812	−	5.61746i	0.0507579	−	0.230294i
$596$	−1.62465	+	1.62465i	−0.0665481	+	0.0665481i
$597$	21.4438	−	12.3806i	0.877635	−	0.506703i
$598$	−3.35251	−	26.0777i	−0.137094	−	1.06640i
$599$	−7.75054	+	13.4243i	−0.316679	+	0.548503i	−0.979793	−	0.200015i	$-0.935901\pi$
$599$	−7.75054	+	13.4243i	−0.316679	+	0.548503i	0.663114	+	0.748518i	$0.269234\pi$
$600$	−12.2791	−	3.29018i	−0.501293	−	0.134321i
$601$		−	34.9343i		−	1.42500i	−0.701672	−	0.712501i	$-0.747563\pi$
$601$		−	34.9343i		−	1.42500i	0.701672	−	0.712501i	$-0.252437\pi$
$602$	−6.98202	+	2.21087i	−0.284566	+	0.0901082i
$603$	−5.31790	−	5.31790i	−0.216562	−	0.216562i
$604$	−0.799736	+	2.98465i	−0.0325408	+	0.121444i
$605$	6.56662	−	1.75952i	0.266971	−	0.0715346i
$606$	0.482066	+	1.79909i	0.0195826	+	0.0730832i
$607$	35.3245	−	20.3946i	1.43378	−	0.827792i	0.436371	−	0.899767i	$-0.356263\pi$
$607$	35.3245	−	20.3946i	1.43378	−	0.827792i	0.997406	+	0.0719747i	$0.0229301\pi$
$608$	−33.0803			−1.34158
$609$	−4.29974	+	0.193028i	−0.174234	+	0.00782189i
$610$			5.11198i			0.206978i
$611$	11.0334	−	26.4095i	0.446365	−	1.06842i
$612$	−2.49998	−	1.44337i	−0.101056	−	0.0583446i
$613$	23.1965	−	6.21549i	0.936899	−	0.251041i	0.242105	−	0.970250i	$-0.422162\pi$
$613$	23.1965	−	6.21549i	0.936899	−	0.251041i	0.694794	+	0.719209i	$0.255496\pi$
$614$	4.37563	−	2.52627i	0.176586	−	0.101952i
$615$	−8.15944			−0.329020
$616$	12.9360	−	0.580737i	0.521208	−	0.0233986i
$617$	−5.37879	−	5.37879i	−0.216542	−	0.216542i	0.590497	−	0.807039i	$-0.298932\pi$
$617$	−5.37879	−	5.37879i	−0.216542	−	0.216542i	−0.807039	+	0.590497i	$0.798932\pi$
$618$	−2.98712	−	0.800396i	−0.120160	−	0.0321966i
$619$	−29.7342	+	7.96726i	−1.19512	+	0.320231i	−0.800908	−	0.598788i	$-0.795649\pi$
$619$	−29.7342	+	7.96726i	−1.19512	+	0.320231i	−0.394212	+	0.919019i	$0.628983\pi$
$620$	0.124501	−	0.215642i	0.00500009	−	0.00866041i
$621$	3.83486	+	6.64218i	0.153888	+	0.266541i
$622$	−6.17886	−	6.17886i	−0.247750	−	0.247750i
$623$	2.12655	+	6.71576i	0.0851985	+	0.269061i
$624$	−0.292102	+	2.16775i	−0.0116935	+	0.0867796i
$625$	7.62152	+	13.2009i	0.304861	+	0.528034i
$626$	0.966092	+	3.60550i	0.0386128	+	0.144105i
$627$	5.17864	−	8.96966i	0.206815	−	0.358214i
$628$	−1.09090	−	1.88949i	−0.0435316	−	0.0753990i
$629$	−22.0956	+	22.0956i	−0.881011	+	0.881011i
$630$	1.74994	−	1.11786i	0.0697191	−	0.0445366i
$631$	4.93640	−	4.93640i	0.196515	−	0.196515i	−0.601989	−	0.798504i	$-0.705625\pi$
$631$	4.93640	−	4.93640i	0.196515	−	0.196515i	0.798504	+	0.601989i	$0.205625\pi$
$632$	43.4276	+	11.6364i	1.72746	+	0.462871i
$633$	4.47368	+	2.58288i	0.177813	+	0.102660i
$634$	−11.9230	−	6.88377i	−0.473524	−	0.273389i
$635$	−1.79351	+	6.69348i	−0.0711734	+	0.265623i
$636$	−7.48086			−0.296635
$637$	13.5732	−	21.2783i	0.537791	−	0.843078i
$638$	2.57167			0.101813
$639$	−4.02676	+	15.0281i	−0.159296	+	0.594502i
$640$	−3.33625	−	1.92619i	−0.131877	−	0.0761392i
$641$	−17.6069	−	10.1653i	−0.695430	−	0.401506i	0.110213	−	0.993908i	$-0.464847\pi$
$641$	−17.6069	−	10.1653i	−0.695430	−	0.401506i	−0.805643	+	0.592401i	$0.798180\pi$
$642$	8.84103	+	2.36895i	0.348928	+	0.0934949i
$643$	7.11371	−	7.11371i	0.280537	−	0.280537i	−0.552786	−	0.833323i	$-0.686435\pi$
$643$	7.11371	−	7.11371i	0.280537	−	0.280537i	0.833323	+	0.552786i	$0.186435\pi$
$644$	18.7430	−	11.9730i	0.738579	−	0.471804i
$645$	−1.69940	+	1.69940i	−0.0669140	+	0.0669140i
$646$	−7.79955	−	13.5092i	−0.306869	−	0.531513i
$647$	23.4621	−	40.6375i	0.922389	−	1.59763i	0.126682	−	0.991943i	$-0.459567\pi$
$647$	23.4621	−	40.6375i	0.922389	−	1.59763i	0.795707	−	0.605682i	$-0.207100\pi$
$648$	−0.761866	−	2.84332i	−0.0299289	−	0.111696i
$649$	−6.07209	−	10.5172i	−0.238350	−	0.412835i
$650$	11.7725	−	8.97655i	0.461754	−	0.352089i
$651$	−0.219814	−	0.694183i	−0.00861518	−	0.0272072i
$652$	−8.63070	−	8.63070i	−0.338004	−	0.338004i
$653$	−15.4303	−	26.7260i	−0.603833	−	1.04587i	−0.992235	−	0.124379i	$-0.960306\pi$
$653$	−15.4303	−	26.7260i	−0.603833	−	1.04587i	0.388402	−	0.921490i	$-0.373027\pi$
$654$	0.258996	−	0.448594i	0.0101275	−	0.0175414i
$655$	2.52142	−	0.675612i	0.0985199	−	0.0263983i
$656$	−5.79218	−	1.55201i	−0.226147	−	0.0605958i
$657$	−2.05858	−	2.05858i	−0.0803128	−	0.0803128i
$658$	−19.9486	+	0.895551i	−0.777677	+	0.0349122i
$659$	0.686929			0.0267589			0.0133795	−	0.999910i	$-0.495741\pi$
$659$	0.686929			0.0267589			0.0133795	+	0.999910i	$0.495741\pi$
$660$	1.30277	−	0.752154i	0.0507102	−	0.0292776i
$661$	−16.9165	+	4.53276i	−0.657976	+	0.176304i	−0.572332	−	0.820022i	$-0.693961\pi$
$661$	−16.9165	+	4.53276i	−0.657976	+	0.176304i	−0.0856434	+	0.996326i	$0.527295\pi$
$662$	9.85944	+	5.69235i	0.383198	+	0.221240i
$663$	8.78449	−	3.60738i	0.341161	−	0.140099i
$664$			45.4963i			1.76560i
$665$	−13.5912	+	0.610147i	−0.527043	+	0.0236605i
$666$	−11.2801			−0.437096
$667$	10.8054	−	6.23850i	0.418387	−	0.241556i
$668$	6.22035	+	23.2147i	0.240673	+	0.898202i
$669$	6.87259	−	1.84151i	0.265710	−	0.0711967i
$670$	1.52769	−	5.70142i	0.0590199	−	0.220265i
$671$	7.65768	+	7.65768i	0.295621	+	0.295621i
$672$	−13.3946	+	4.24143i	−0.516710	+	0.163617i
$673$			31.9379i			1.23112i	0.788092	+	0.615558i	$0.211069\pi$
$673$			31.9379i			1.23112i	−0.788092	+	0.615558i	$0.788931\pi$
$674$	12.5297	+	3.35733i	0.482628	+	0.129320i
$675$	−2.15929	+	3.74000i	−0.0831111	+	0.143953i
$676$	10.0136	+	10.1362i	0.385140	+	0.389856i
$677$	−5.32859	+	3.07647i	−0.204795	+	0.118238i	−0.598890	−	0.800831i	$-0.704391\pi$
$677$	−5.32859	+	3.07647i	−0.204795	+	0.118238i	0.394095	+	0.919070i	$0.371058\pi$
$678$	−0.0172069	+	0.0172069i	−0.000660825	+	0.000660825i
$679$	3.81337	−	17.3016i	0.146344	−	0.663975i
$680$		−	6.39991i		−	0.245425i
$681$	−6.22524	+	23.2329i	−0.238552	+	0.890287i
$682$	0.112604	+	0.420245i	0.00431184	+	0.0160920i
$683$	5.55790	+	20.7424i	0.212667	+	0.793684i	0.986975	+	0.160875i	$0.0514316\pi$
$683$	5.55790	+	20.7424i	0.212667	+	0.793684i	−0.774308	+	0.632809i	$0.781902\pi$
$684$	−1.76708	+	6.59483i	−0.0675660	+	0.252160i
$685$			0.502877i			0.0192139i
$686$	−17.4663	−	2.23397i	−0.666866	−	0.0852933i
$687$	6.57850	−	6.57850i	0.250985	−	0.250985i
$688$	−1.52961	+	0.883120i	−0.0583158	+	0.0336687i
$689$	15.0406	−	19.4783i	0.573000	−	0.742063i
$690$	−3.00978	+	5.21309i	−0.114580	+	0.198459i
$691$	−3.02165	−	0.809649i	−0.114949	−	0.0308005i	0.200886	−	0.979615i	$-0.435618\pi$
$691$	−3.02165	−	0.809649i	−0.114949	−	0.0308005i	−0.315835	+	0.948814i	$0.602285\pi$
$692$		−	10.3560i		−	0.393676i
$693$	0.946842	−	4.29592i	0.0359676	−	0.163188i
$694$	2.31022	+	2.31022i	0.0876948	+	0.0876948i
$695$	−1.62769	+	6.07460i	−0.0617416	+	0.230423i
$696$	−4.62548	+	1.23939i	−0.175328	+	0.0469791i
$697$	6.73804	+	25.1467i	0.255221	+	0.952499i
$698$	2.93576	−	1.69496i	0.111120	−	0.0641552i
$699$	6.54389			0.247513
$700$	11.1152	+	5.76887i	0.420117	+	0.218043i
$701$		−	42.1574i		−	1.59226i	−0.605124	−	0.796131i	$-0.706877\pi$
$701$		−	42.1574i		−	1.59226i	0.605124	−	0.796131i	$-0.293123\pi$
$702$	3.16311	+	1.32149i	0.119384	+	0.0498765i
$703$	64.0038	+	36.9526i	2.41395	+	1.39369i
$704$	10.0575	−	2.69489i	0.379055	−	0.101568i
$705$	−5.67494	+	3.27643i	−0.213731	+	0.123397i
$706$	2.59246			0.0975687
$707$	−0.232446	−	5.17779i	−0.00874204	−	0.194731i
$708$	5.66067	+	5.66067i	0.212741	+	0.212741i
$709$	−37.5492	−	10.0613i	−1.41019	−	0.377859i	−0.528196	−	0.849122i	$-0.677132\pi$
$709$	−37.5492	−	10.0613i	−1.41019	−	0.377859i	−0.881993	+	0.471263i	$0.843798\pi$
$710$	−11.7947	+	3.16039i	−0.442648	+	0.118607i
$711$	7.63678	−	13.2273i	0.286402	−	0.496062i
$712$	3.91875	+	6.78747i	0.146861	+	0.254371i
$713$	1.49258	+	1.49258i	0.0558977	+	0.0558977i
$714$	−4.89024	−	4.47003i	−0.183013	−	0.167287i
$715$	−0.660852	+	4.90432i	−0.0247145	+	0.183411i
$716$	−7.97751	−	13.8175i	−0.298134	−	0.516383i
$717$	1.87502	+	6.99768i	0.0700240	+	0.261333i
$718$	5.93503	−	10.2798i	0.221494	−	0.383638i
$719$	9.22269	+	15.9742i	0.343948	+	0.595736i	0.985162	−	0.171626i	$-0.0549021\pi$
$719$	9.22269	+	15.9742i	0.343948	+	0.595736i	−0.641214	+	0.767362i	$0.721569\pi$
$720$	0.354110	−	0.354110i	0.0131969	−	0.0131969i
$721$	7.63813	+	3.96423i	0.284459	+	0.147636i
$722$	−13.3142	+	13.3142i	−0.495501	+	0.495501i
$723$	−5.31093	−	1.42306i	−0.197515	−	0.0529241i
$724$	−1.27086	−	0.733732i	−0.0472312	−	0.0272689i
$725$	6.08418	+	3.51270i	0.225961	+	0.130459i
$726$	2.02658	−	7.56330i	0.0752135	−	0.280700i
$727$	41.2199			1.52876			0.764382	−	0.644764i	$-0.223044\pi$
$727$	41.2199			1.52876			0.764382	+	0.644764i	$0.223044\pi$
$728$	9.65187	−	26.3695i	0.357722	−	0.977317i
$729$	−1.00000			−0.0370370
$730$	0.591375	−	2.20704i	0.0218878	−	0.0816863i
$731$	6.64079	+	3.83406i	0.245618	+	0.141808i
$732$	−6.18241	−	3.56941i	−0.228508	−	0.131929i
$733$	−14.5673	−	3.90329i	−0.538055	−	0.144171i	−0.0204498	−	0.999791i	$-0.506510\pi$
$733$	−14.5673	−	3.90329i	−0.538055	−	0.144171i	−0.517605	+	0.855619i	$0.673176\pi$
$734$	9.04301	−	9.04301i	0.333784	−	0.333784i
$735$	−5.42502	+	1.98967i	−0.200105	+	0.0733899i
$736$	28.8002	−	28.8002i	1.06159	−	1.06159i
$737$	−6.25220	−	10.8291i	−0.230303	−	0.398896i
$738$	−4.69894	+	8.13880i	−0.172970	+	0.299594i
$739$	3.86989	+	14.4426i	0.142356	+	0.531280i	0.999859	+	0.0168007i	$0.00534808\pi$
$739$	3.86989	+	14.4426i	0.142356	+	0.531280i	−0.857503	+	0.514479i	$0.827985\pi$
$740$	5.36706	+	9.29602i	0.197297	+	0.341729i
$741$	−13.6185	−	17.8602i	−0.500288	−	0.656112i
$742$	−16.7670	−	3.69553i	−0.615535	−	0.135667i
$743$	14.7937	+	14.7937i	0.542729	+	0.542729i	0.924328	−	0.381599i	$-0.124627\pi$
$743$	14.7937	+	14.7937i	0.542729	+	0.542729i	−0.381599	+	0.924328i	$0.624627\pi$
$744$	−0.405066	−	0.701596i	−0.0148505	−	0.0257217i
$745$	−0.865224	+	1.49861i	−0.0316994	+	0.0549049i
$746$	−11.6429	+	3.11972i	−0.426278	+	0.114221i
$747$	14.9292	+	4.00027i	0.546232	+	0.146362i
$748$	−3.39390	−	3.39390i	−0.124093	−	0.124093i
$749$	−22.6067	−	11.7330i	−0.826031	−	0.428715i
$750$	−7.31365			−0.267057
$751$	−29.9881	+	17.3136i	−1.09428	+	0.631784i	−0.934713	−	0.355403i	$-0.884344\pi$
$751$	−29.9881	+	17.3136i	−1.09428	+	0.631784i	−0.159568	+	0.987187i	$0.551010\pi$
$752$	−4.65171	+	1.24642i	−0.169630	+	0.0454523i
$753$	3.63393	+	2.09805i	0.132428	+	0.0764571i
$754$	2.14979	−	5.14571i	0.0782906	−	0.187396i
$755$			2.32721i			0.0846958i
$756$	0.130050	+	2.89690i	0.00472989	+	0.105359i
$757$	−15.5391			−0.564777			−0.282389	−	0.959300i	$-0.591127\pi$
$757$	−15.5391			−0.564777			−0.282389	+	0.959300i	$0.591127\pi$
$758$	−5.45582	+	3.14992i	−0.198164	+	0.114410i
$759$	3.30053	+	12.3177i	0.119802	+	0.447106i
$760$	−14.6208	+	3.91763i	−0.530352	+	0.142107i
$761$	−5.23424	+	19.5345i	−0.189741	+	0.708124i	0.803825	+	0.594866i	$0.202795\pi$
$761$	−5.23424	+	19.5345i	−0.189741	+	0.708124i	−0.993566	+	0.113257i	$0.963872\pi$
$762$	5.64369	+	5.64369i	0.204449	+	0.204449i
$763$	−0.972512	+	1.06393i	−0.0352073	+	0.0385170i
$764$			8.49110i			0.307197i
$765$	−2.10008	−	0.562714i	−0.0759285	−	0.0203450i
$766$	−16.3127	+	28.2543i	−0.589400	+	1.02087i
$767$	−26.1200	+	3.35795i	−0.943138	+	0.121248i
$768$	−14.6893	+	8.48090i	−0.530056	+	0.306028i
$769$	−28.3218	+	28.3218i	−1.02131	+	1.02131i	−0.0215423	+	0.999768i	$0.506858\pi$
$769$	−28.3218	+	28.3218i	−1.02131	+	1.02131i	−0.999768	+	0.0215423i	$0.993142\pi$
$770$	3.29148	−	1.04225i	0.118617	−	0.0375602i
$771$			28.2261i			1.01654i
$772$	−5.47447	+	20.4310i	−0.197031	+	0.735328i
$773$	5.44534	+	20.3223i	0.195855	+	0.730942i	0.992044	+	0.125893i	$0.0401797\pi$
$773$	5.44534	+	20.3223i	0.195855	+	0.730942i	−0.796189	+	0.605049i	$0.793154\pi$
$774$	0.716437	+	2.67378i	0.0257518	+	0.0961070i
$775$	−0.307618	+	1.14804i	−0.0110500	+	0.0412390i
$776$		−	19.7115i		−	0.707603i
$777$	30.6539	+	6.75627i	1.09970	+	0.242380i
$778$	−26.0529	+	26.0529i	−0.934042	+	0.934042i
$779$	53.3238	−	30.7865i	1.91052	−	1.10304i
$780$	−0.415951	−	3.23550i	−0.0148935	−	0.115850i
$781$	−12.9341	+	22.4026i	−0.462820	+	0.801627i
$782$	18.5518	+	4.97093i	0.663410	+	0.177760i
$783$			1.62679i			0.0581366i
$784$	−4.22954	+	0.380520i	−0.151055	+	0.0135900i
$785$	−1.16194	−	1.16194i	−0.0414715	−	0.0414715i
$786$	0.778157	−	2.90412i	0.0277559	−	0.103587i
$787$	−21.4712	+	5.75320i	−0.765366	+	0.205079i	−0.620323	−	0.784346i	$-0.712999\pi$
$787$	−21.4712	+	5.75320i	−0.765366	+	0.205079i	−0.145043	+	0.989425i	$0.546332\pi$
$788$	2.17534	+	8.11849i	0.0774934	+	0.289209i
$789$	−23.9236	+	13.8123i	−0.851704	+	0.491732i
$790$	11.9874			0.426492
$791$	0.0570659	−	0.0364537i	0.00202903	−	0.00129615i
$792$		−	4.89429i		−	0.173911i
$793$	21.7238	−	8.92097i	0.771436	−	0.316793i
$794$	−2.21842	−	1.28080i	−0.0787286	−	0.0454540i
$795$	−5.44227	+	1.45825i	−0.193018	+	0.0517189i
$796$	−23.5030	+	13.5695i	−0.833042	+	0.480957i
$797$	−35.2091			−1.24717			−0.623585	−	0.781756i	$-0.714324\pi$
$797$	−35.2091			−1.24717			−0.623585	+	0.781756i	$0.714324\pi$
$798$	−7.21842	+	13.9082i	−0.255529	+	0.492344i
$799$	14.7840	+	14.7840i	0.523021	+	0.523021i
$800$	22.1522	+	5.93565i	0.783197	+	0.209857i
$801$	2.57181	−	0.689115i	0.0908705	−	0.0243487i
$802$	10.5229	−	18.2261i	0.371575	−	0.643587i
$803$	−2.42025	−	4.19199i	−0.0854087	−	0.147932i
$804$	5.82858	+	5.82858i	0.205558	+	0.205558i
$805$	11.3015	−	12.3639i	0.398326	−	0.435771i
$806$	0.935008	+	0.125991i	0.0329343	+	0.00443786i
$807$	−11.8848	−	20.5850i	−0.418363	−	0.724627i
$808$	−1.49249	−	5.57005i	−0.0525056	−	0.195954i
$809$	2.21462	−	3.83583i	0.0778618	−	0.134861i	−0.824465	−	0.565912i	$-0.808524\pi$
$809$	2.21462	−	3.83583i	0.0778618	−	0.134861i	0.902327	+	0.431052i	$0.141857\pi$
$810$	−0.392423	−	0.679697i	−0.0137883	−	0.0238821i
$811$	13.7208	−	13.7208i	0.481801	−	0.481801i	−0.423906	−	0.905706i	$-0.639341\pi$
$811$	13.7208	−	13.7208i	0.481801	−	0.481801i	0.905706	+	0.423906i	$0.139341\pi$
$812$	4.71264	−	0.211564i	0.165381	−	0.00742445i
$813$	−16.2591	+	16.2591i	−0.570231	+	0.570231i
$814$	−18.1161	−	4.85420i	−0.634970	−	0.170140i
$815$	−7.96117	−	4.59638i	−0.278868	−	0.161004i
$816$	−1.38376	−	0.798914i	−0.0484413	−	0.0279676i
$817$	4.69395	−	17.5181i	0.164221	−	0.612879i
$818$	24.1461			0.844249
$819$	−7.80428	−	5.48573i	−0.272704	−	0.191687i
$820$	8.94298			0.312303
$821$	3.43687	−	12.8266i	0.119948	−	0.447651i	−0.879662	−	0.475600i	$-0.842231\pi$
$821$	3.43687	−	12.8266i	0.119948	−	0.447651i	0.999609	+	0.0279492i	$0.00889767\pi$
$822$	0.501605	+	0.289602i	0.0174955	+	0.0101010i
$823$	−27.6763	−	15.9789i	−0.964735	−	0.556990i	−0.0671081	−	0.997746i	$-0.521377\pi$
$823$	−27.6763	−	15.9789i	−0.964735	−	0.556990i	−0.897627	+	0.440756i	$0.854711\pi$
$824$	9.24821	+	2.47805i	0.322177	+	0.0863269i
$825$	−5.07731	+	5.07731i	−0.176769	+	0.176769i
$826$	9.89101	+	15.4837i	0.344152	+	0.538748i
$827$	−12.0573	+	12.0573i	−0.419275	+	0.419275i	−0.884954	−	0.465679i	$-0.845810\pi$
$827$	−12.0573	+	12.0573i	−0.419275	+	0.419275i	0.465679	+	0.884954i	$0.345810\pi$
$828$	−4.20312	−	7.28002i	−0.146069	−	0.252998i
$829$	−17.4961	+	30.3041i	−0.607664	+	1.05251i	0.383960	+	0.923350i	$0.374560\pi$
$829$	−17.4961	+	30.3041i	−0.607664	+	1.05251i	−0.991624	+	0.129156i	$0.958773\pi$
$830$	3.13960	+	11.7171i	0.108977	+	0.406708i
$831$	5.46763	+	9.47021i	0.189670	+	0.328518i
$832$	3.01528	−	22.3770i	0.104536	−	0.775783i
$833$	10.6119	+	15.0764i	0.367682	+	0.522366i
$834$	5.12188	+	5.12188i	0.177356	+	0.177356i
$835$	9.05052	+	15.6760i	0.313206	+	0.542489i
$836$	−5.67594	+	9.83101i	−0.196306	+	0.340013i
$837$	−0.265838	+	0.0712312i	−0.00918872	+	0.00246211i
$838$	4.41344	+	1.18258i	0.152460	+	0.0408515i
$839$	24.8427	+	24.8427i	0.857665	+	0.857665i	0.991063	−	0.133398i	$-0.0425887\pi$
$839$	24.8427	+	24.8427i	0.857665	+	0.857665i	−0.133398	+	0.991063i	$0.542589\pi$
$840$	−5.41785	+	3.46092i	−0.186934	+	0.119413i
$841$	−26.3536			−0.908744
$842$	14.5195	−	8.38285i	0.500376	−	0.288892i
$843$	−10.2128	+	2.73652i	−0.351749	+	0.0942508i
$844$	−4.90329	−	2.83091i	−0.168778	−	0.0974441i
$845$	9.26072	+	5.42208i	0.318579	+	0.186525i
$846$			7.54746i			0.259487i
$847$	−10.0373	+	19.3395i	−0.344886	+	0.664514i
$848$	−4.14071			−0.142193
$849$	−25.4036	+	14.6668i	−0.871849	+	0.503362i
$850$	2.79897	+	10.4459i	0.0960040	+	0.358292i
$851$	−87.8943	+	23.5512i	−3.01298	+	0.807325i
$852$	4.41345	−	16.4712i	0.151202	−	0.564295i
$853$	26.4309	+	26.4309i	0.904978	+	0.904978i	0.995862	−	0.0908832i	$-0.0289690\pi$
$853$	26.4309	+	26.4309i	0.904978	+	0.904978i	−0.0908832	+	0.995862i	$0.528969\pi$
$854$	−12.0935	−	11.0543i	−0.413829	−	0.378270i
$855$			5.14215i			0.175858i
$856$	−27.3721	−	7.33433i	−0.935559	−	0.250682i
$857$	−16.3385	+	28.2991i	−0.558112	+	0.966678i	0.439542	+	0.898222i	$0.355141\pi$
$857$	−16.3385	+	28.2991i	−0.558112	+	0.966678i	−0.997654	+	0.0684560i	$0.978193\pi$
$858$	4.51134	+	3.48353i	0.154015	+	0.118926i
$859$	−29.6268	+	17.1051i	−1.01085	+	0.583617i	−0.911442	−	0.411429i	$-0.865030\pi$
$859$	−29.6268	+	17.1051i	−1.01085	+	0.583617i	−0.0994127	+	0.995046i	$0.531696\pi$
$860$	1.86260	−	1.86260i	0.0635140	−	0.0635140i
$861$	17.6442	−	19.3029i	0.601312	−	0.657839i
$862$			29.1684i			0.993478i
$863$	12.8385	−	47.9141i	0.437029	−	1.63102i	−0.299134	−	0.954211i	$-0.596698\pi$
$863$	12.8385	−	47.9141i	0.437029	−	1.63102i	0.736163	−	0.676804i	$-0.236636\pi$
$864$	1.37445	+	5.12950i	0.0467596	+	0.174509i
$865$	−2.01871	−	7.53392i	−0.0686382	−	0.256161i
$866$	4.82137	−	17.9936i	0.163837	−	0.611447i
$867$		−	10.0630i		−	0.341759i
$868$	0.240922	+	0.760845i	0.00817744	+	0.0258248i
$869$	17.9570	−	17.9570i	0.609148	−	0.609148i
$870$	−1.10572	+	0.638389i	−0.0374875	+	0.0216434i
$871$	−26.8947	+	3.45755i	−0.911293	+	0.117155i
$872$	−0.801859	+	1.38886i	−0.0271544	+	0.0470328i
$873$	−6.46818	−	1.73314i	−0.218915	−	0.0586580i
$874$		−	45.4250i		−	1.53652i
$875$	19.8749	+	4.38053i	0.671895	+	0.148089i
$876$	2.25626	+	2.25626i	0.0762321	+	0.0762321i
$877$	−2.78382	+	10.3894i	−0.0940031	+	0.350824i	−0.996866	−	0.0791034i	$-0.974794\pi$
$877$	−2.78382	+	10.3894i	−0.0940031	+	0.350824i	0.902863	+	0.429928i	$0.141461\pi$
$878$	26.8594	−	7.19696i	0.906461	−	0.242885i
$879$	−0.153615	−	0.573301i	−0.00518132	−	0.0193369i
$880$	0.721093	−	0.416323i	0.0243080	−	0.0140342i
$881$	−0.161372			−0.00543678			−0.00271839	−	0.999996i	$-0.500865\pi$
$881$	−0.161372			−0.00543678			−0.00271839	+	0.999996i	$0.500865\pi$
$882$	−1.13958	+	6.55713i	−0.0383716	+	0.220790i
$883$		−	29.4627i		−	0.991499i	−0.868466	−	0.495749i	$-0.834893\pi$
$883$		−	29.4627i		−	0.991499i	0.868466	−	0.495749i	$-0.165107\pi$
$884$	−9.62806	+	3.95380i	−0.323827	+	0.132981i
$885$	5.22154	+	3.01466i	0.175520	+	0.101337i
$886$	−33.0695	+	8.86095i	−1.11099	+	0.297689i
$887$	26.1311	−	15.0868i	0.877396	−	0.506565i	0.00759677	−	0.999971i	$-0.497582\pi$
$887$	26.1311	−	15.0868i	0.877396	−	0.506565i	0.869799	+	0.493407i	$0.164249\pi$
$888$	34.9236			1.17196
$889$	−11.9565	−	18.7171i	−0.401007	−	0.627751i
$890$	1.47763	+	1.47763i	0.0495302	+	0.0495302i
$891$	−1.60602	−	0.430332i	−0.0538037	−	0.0144167i
$892$	−7.53256	+	2.01834i	−0.252209	+	0.0675792i
$893$	24.7247	−	42.8245i	0.827381	−	1.43307i
$894$	0.996549	+	1.72607i	0.0333296	+	0.0577285i
$895$	−8.49704	−	8.49704i	−0.284025	−	0.284025i
$896$	11.7712	−	3.72736i	0.393248	−	0.124522i
$897$	27.4059	+	3.69292i	0.915056	+	0.123303i
$898$	−12.5305	−	21.7035i	−0.418148	−	0.724254i
$899$	0.115878	+	0.432463i	0.00386475	+	0.0144234i
$900$	2.36665	−	4.09915i	0.0788882	−	0.136638i
$901$	8.98843	+	15.5684i	0.299448	+	0.518659i
$902$	−11.0490	+	11.0490i	−0.367891	+	0.367891i
$903$	−0.345457	−	7.69513i	−0.0114961	−	0.256078i
$904$	0.0532729	−	0.0532729i	0.00177183	−	0.00177183i
$905$	−1.06757	−	0.286055i	−0.0354872	−	0.00950878i
$906$	2.32132	+	1.34022i	0.0771208	+	0.0445257i
$907$	−9.09871	−	5.25314i	−0.302118	−	0.174428i	0.341276	−	0.939963i	$-0.389141\pi$
$907$	−9.09871	−	5.25314i	−0.302118	−	0.174428i	−0.643394	+	0.765535i	$0.722474\pi$
$908$	6.82305	−	25.4640i	0.226431	−	0.845051i
$909$	−1.95899			−0.0649757
$910$	0.666051	−	7.45727i	0.0220794	−	0.247206i
$911$	5.45946			0.180880			0.0904400	−	0.995902i	$-0.471173\pi$
$911$	5.45946			0.180880			0.0904400	+	0.995902i	$0.471173\pi$
$912$	−0.978092	+	3.65029i	−0.0323879	+	0.120873i
$913$	22.2552	+	12.8490i	0.736540	+	0.425241i
$914$	−22.3423	−	12.8994i	−0.739019	−	0.426673i
$915$	−5.19345	−	1.39158i	−0.171690	−	0.0460042i
$916$	−7.21023	+	7.21023i	−0.238233	+	0.238233i
$917$	−3.85408	+	7.42590i	−0.127273	+	0.245225i
$918$	−1.77071	+	1.77071i	−0.0584420	+	0.0584420i
$919$	−3.98408	−	6.90063i	−0.131423	−	0.227631i	0.792803	−	0.609479i	$-0.208621\pi$
$919$	−3.98408	−	6.90063i	−0.131423	−	0.227631i	−0.924225	+	0.381848i	$0.875288\pi$
$920$	9.31836	−	16.1399i	0.307217	−	0.532116i
$921$	1.37540	+	5.13306i	0.0453209	+	0.169140i
$922$	−11.7048	−	20.2733i	−0.385477	−	0.667667i
$923$	34.0135	+	44.6076i	1.11957	+	1.46828i
$924$	−1.03777	+	4.70845i	−0.0341400	+	0.154897i
$925$	−36.2296	−	36.2296i	−1.19122	−	1.19122i
$926$	3.05227	+	5.28669i	0.100304	+	0.173731i
$927$	1.62630	−	2.81684i	0.0534148	−	0.0925172i
$928$	8.34460	−	2.23593i	0.273925	−	0.0733980i
$929$	34.3592	+	9.20652i	1.12729	+	0.302056i	0.773830	−	0.633394i	$-0.218339\pi$
$929$	34.3592	+	9.20652i	1.12729	+	0.302056i	0.353459	+	0.935450i	$0.385005\pi$
$930$	−0.152737	−	0.152737i	−0.00500844	−	0.00500844i
$931$	27.9465	−	33.4722i	0.915910	−	1.09701i
$932$	−7.17230			−0.234936
$933$	7.95933	−	4.59532i	0.260577	−	0.150444i
$934$	17.6658	−	4.73352i	0.578041	−	0.154886i
$935$	−3.13062	−	1.80746i	−0.102382	−	0.0591103i
$936$	−9.79309	−	4.09138i	−0.320097	−	0.133731i
$937$		−	4.32240i		−	0.141207i	−0.997504	−	0.0706034i	$-0.977508\pi$
$937$		−	4.32240i		−	0.141207i	0.997504	−	0.0706034i	$-0.0224925\pi$
$938$	10.1844	+	15.9430i	0.332532	+	0.520557i
$939$	−3.92595			−0.128119
$940$	6.21990	−	3.59106i	0.202871	−	0.117128i
$941$	9.94096	+	37.1002i	0.324066	+	1.20943i	0.915247	+	0.402892i	$0.131995\pi$
$941$	9.94096	+	37.1002i	0.324066	+	1.20943i	−0.591182	+	0.806539i	$0.701338\pi$
$942$	−1.82816	+	0.489853i	−0.0595646	+	0.0159603i
$943$	−19.6214	+	73.2279i	−0.638959	+	2.38463i
$944$	3.13322	+	3.13322i	0.101978	+	0.101978i
$945$	0.659308	+	2.08213i	0.0214473	+	0.0677316i
$946$			4.60245i			0.149639i
$947$	−26.8376	−	7.19113i	−0.872106	−	0.233680i	−0.205108	−	0.978739i	$-0.565755\pi$
$947$	−26.8376	−	7.19113i	−0.872106	−	0.233680i	−0.666998	+	0.745059i	$0.732421\pi$
$948$	−8.37014	+	14.4975i	−0.271849	+	0.470857i
$949$	−10.4111	+	1.33843i	−0.337957	+	0.0434473i
$950$	22.1507	−	12.7887i	0.718662	−	0.414920i
$951$	10.2392	−	10.2392i	0.332027	−	0.332027i
$952$	15.1403	+	13.8393i	0.490701	+	0.448536i
$953$		−	40.8672i		−	1.32382i	−0.749583	−	0.661910i	$-0.769746\pi$
$953$		−	40.8672i		−	1.32382i	0.749583	−	0.661910i	$-0.230254\pi$
$954$	−1.67959	+	6.26830i	−0.0543786	+	0.202944i
$955$	1.65518	+	6.17721i	0.0535604	+	0.199890i
$956$	−2.05508	−	7.66966i	−0.0664660	−	0.248055i
$957$	−0.700059	+	2.61265i	−0.0226297	+	0.0844551i
$958$		−	8.29481i		−	0.267993i
$959$	−1.18966	−	1.08743i	−0.0384161	−	0.0351151i
$960$	−3.65536	+	3.65536i	−0.117976	+	0.117976i
$961$	26.7812	−	15.4621i	0.863909	−	0.498778i
$962$	−24.8570	+	32.1911i	−0.801423	+	1.03788i
$963$	−4.81340	+	8.33705i	−0.155110	+	0.268658i
$964$	5.82093	+	1.55971i	0.187480	+	0.0502350i
$965$			15.9306i			0.512823i
$966$	−5.82422	−	18.3932i	−0.187391	−	0.591791i
$967$	28.8321	+	28.8321i	0.927177	+	0.927177i	0.997523	−	0.0703460i	$-0.0224103\pi$
$967$	28.8321	+	28.8321i	0.927177	+	0.927177i	−0.0703460	+	0.997523i	$0.522410\pi$
$968$	−6.27435	+	23.4162i	−0.201665	+	0.752625i
$969$	15.8477	−	4.24638i	0.509101	−	0.136413i
$970$	−1.36025	−	5.07653i	−0.0436750	−	0.162997i
$971$	−47.6061	+	27.4854i	−1.52775	+	0.882049i	−0.528298	+	0.849059i	$0.677170\pi$
$971$	−47.6061	+	27.4854i	−1.52775	+	0.882049i	−0.999456	+	0.0329897i	$0.989497\pi$
$972$	1.09603			0.0351552
$973$	−10.8510	−	16.9865i	−0.347867	−	0.544563i
$974$		−	22.4904i		−	0.720639i
$975$	5.91492	+	14.4037i	0.189429	+	0.461286i
$976$	−3.42201	−	1.97570i	−0.109536	−	0.0632405i
$977$	−29.8537	+	7.99928i	−0.955105	+	0.255919i	−0.702527	−	0.711657i	$-0.747945\pi$
$977$	−29.8537	+	7.99928i	−0.955105	+	0.255919i	−0.252578	+	0.967577i	$0.581278\pi$
$978$	−9.16952	+	5.29403i	−0.293209	+	0.169284i
$979$	4.42693			0.141485
$980$	5.94598	−	2.18073i	0.189937	−	0.0696609i
$981$	0.385240	+	0.385240i	0.0122998	+	0.0122998i
$982$	13.4139	+	3.59425i	0.428056	+	0.114697i
$983$	1.86563	−	0.499895i	0.0595045	−	0.0159442i	−0.228944	−	0.973440i	$-0.573527\pi$
$983$	1.86563	−	0.499895i	0.0595045	−	0.0159442i	0.288448	+	0.957495i	$0.406861\pi$
$984$	14.5481	−	25.1980i	0.463775	−	0.803282i
$985$	3.16509	+	5.48210i	0.100848	+	0.174674i
$986$	2.88056	+	2.88056i	0.0917358	+	0.0917358i
$987$	4.52057	−	20.5103i	0.143891	−	0.652850i
$988$	14.9263	+	19.5753i	0.474868	+	0.622774i
$989$	11.1649	+	19.3381i	0.355023	+	0.614917i
$990$	−0.337744	−	1.26048i	−0.0107342	−	0.0400607i
$991$	2.90725	−	5.03550i	0.0923517	−	0.159958i	−0.816149	−	0.577842i	$-0.803895\pi$
$991$	2.90725	−	5.03550i	0.0923517	−	0.159958i	0.908500	+	0.417884i	$0.137228\pi$
$992$	0.730761	+	1.26572i	0.0232017	+	0.0401865i
$993$	−8.46700	+	8.46700i	−0.268692	+	0.268692i
$994$	18.0287	−	34.7370i	0.571835	−	1.10179i
$995$	−14.4532	+	14.4532i	−0.458196	+	0.458196i
$996$	−16.3629	−	4.38442i	−0.518477	−	0.138926i
$997$	28.6027	+	16.5138i	0.905857	+	0.522997i	0.879096	−	0.476645i	$-0.158147\pi$
$997$	28.6027	+	16.5138i	0.905857	+	0.522997i	0.0267612	+	0.999642i	$0.491481\pi$
$998$	−9.88163	−	5.70516i	−0.312798	−	0.180594i
$999$	3.07067	−	11.4599i	0.0971517	−	0.362575i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bz.b.73.3	yes	36
3.2	odd	2		819.2.fn.g.73.7		36
7.5	odd	6		273.2.bz.a.229.7	yes	36
13.5	odd	4		273.2.bz.a.31.7	✓	36
21.5	even	6		819.2.fn.f.775.3		36
39.5	even	4		819.2.fn.f.577.3		36
91.5	even	12	inner	273.2.bz.b.187.3	yes	36
273.5	odd	12		819.2.fn.g.460.7		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bz.a.31.7	✓	36	13.5	odd	4
273.2.bz.a.229.7	yes	36	7.5	odd	6
273.2.bz.b.73.3	yes	36	1.1	even	1	trivial
273.2.bz.b.187.3	yes	36	91.5	even	12	inner
819.2.fn.f.577.3		36	39.5	even	4
819.2.fn.f.775.3		36	21.5	even	6
819.2.fn.g.73.7		36	3.2	odd	2
819.2.fn.g.460.7		36	273.5	odd	12

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bz (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.246078 + 0.918377i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(0.949189 + 0.548015i) q^{4} +(0.797354 + 0.213650i) q^{5} +(0.672298 - 0.672298i) q^{6} +(-2.22965 + 1.42430i) q^{7} +(-2.08146 + 2.08146i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.246078 + 0.918377i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(0.949189 + 0.548015i) q^{4} +(0.797354 + 0.213650i) q^{5} +(0.672298 - 0.672298i) q^{6} +(-2.22965 + 1.42430i) q^{7} +(-2.08146 + 2.08146i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.392423 + 0.679697i) q^{10} +(0.430332 + 1.60602i) q^{11} +(-0.548015 - 0.949189i) q^{12} +(3.57326 + 0.481493i) q^{13} +(-0.759378 - 2.39815i) q^{14} +(-0.583704 - 0.583704i) q^{15} +(-0.303330 - 0.525383i) q^{16} +(-1.31690 + 2.28095i) q^{17} +(-0.918377 + 0.246078i) q^{18} +(6.01702 + 1.61226i) q^{19} +(0.639756 + 0.639756i) q^{20} +(2.64309 - 0.118656i) q^{21} -1.58083 q^{22} +(-6.64218 + 3.83486i) q^{23} +(2.84332 - 0.761866i) q^{24} +(-3.74000 - 2.15929i) q^{25} +(-1.32149 + 3.16311i) q^{26} -1.00000i q^{27} +(-2.89690 + 0.130050i) q^{28} -1.62679 q^{29} +(0.679697 - 0.392423i) q^{30} +(-0.0712312 - 0.265838i) q^{31} +(-5.12950 + 1.37445i) q^{32} +(0.430332 - 1.60602i) q^{33} +(-1.77071 - 1.77071i) q^{34} +(-2.08213 + 0.659308i) q^{35} +1.09603i q^{36} +(11.4599 + 3.07067i) q^{37} +(-2.96132 + 5.12915i) q^{38} +(-2.85378 - 2.20361i) q^{39} +(-2.10436 + 1.21495i) q^{40} +(6.98937 - 6.98937i) q^{41} +(-0.541436 + 2.45655i) q^{42} -2.91142i q^{43} +(-0.471657 + 1.76025i) q^{44} +(0.213650 + 0.797354i) q^{45} +(-1.88735 - 7.04370i) q^{46} +(2.05456 - 7.66774i) q^{47} +0.606660i q^{48} +(2.94272 - 6.35141i) q^{49} +(2.90338 - 2.90338i) q^{50} +(2.28095 - 1.31690i) q^{51} +(3.12783 + 2.41523i) q^{52} +(3.41271 - 5.91098i) q^{53} +(0.918377 + 0.246078i) q^{54} +1.37251i q^{55} +(1.67630 - 7.60555i) q^{56} +(-4.40477 - 4.40477i) q^{57} +(0.400317 - 1.49400i) q^{58} +(-7.05512 + 1.89041i) q^{59} +(-0.234167 - 0.873923i) q^{60} +(5.64073 - 3.25668i) q^{61} +0.261668 q^{62} +(-2.34831 - 1.21879i) q^{63} -6.26236i q^{64} +(2.74628 + 1.14735i) q^{65} +(1.36904 + 0.790414i) q^{66} +(-7.26439 + 1.94649i) q^{67} +(-2.49998 + 1.44337i) q^{68} +7.66973 q^{69} +(-0.0931267 - 2.07442i) q^{70} +(11.0013 + 11.0013i) q^{71} +(-2.84332 - 0.761866i) q^{72} +(-2.81207 + 0.753492i) q^{73} +(-5.64007 + 9.76888i) q^{74} +(2.15929 + 3.74000i) q^{75} +(4.82775 + 4.82775i) q^{76} +(-3.24695 - 2.96795i) q^{77} +(2.72600 - 2.07859i) q^{78} +(-7.63678 - 13.2273i) q^{79} +(-0.129613 - 0.483723i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(4.69894 + 8.13880i) q^{82} +(10.9290 - 10.9290i) q^{83} +(2.57382 + 1.33582i) q^{84} +(-1.53736 + 1.53736i) q^{85} +(2.67378 + 0.716437i) q^{86} +(1.40884 + 0.813393i) q^{87} +(-4.23858 - 2.44715i) q^{88} +(0.689115 - 2.57181i) q^{89} -0.784846 q^{90} +(-8.65292 + 4.01584i) q^{91} -8.40625 q^{92} +(-0.0712312 + 0.265838i) q^{93} +(6.53629 + 3.77373i) q^{94} +(4.45324 + 2.57108i) q^{95} +(5.12950 + 1.37445i) q^{96} +(-4.73504 + 4.73504i) q^{97} +(5.10885 + 4.26547i) q^{98} +(-1.17569 + 1.17569i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 4 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q + 4 * q^7 + 18 * q^9	\( 36 q + 4 q^{7} + 18 q^{9} + 4 q^{11} + 16 q^{12} - 36 q^{14} + 12 q^{16} - 4 q^{17} - 12 q^{19} - 44 q^{20} + 6 q^{21} - 8 q^{22} + 12 q^{23} - 18 q^{24} + 48 q^{25} - 28 q^{26} + 12 q^{28} - 16 q^{29} - 56 q^{32} + 4 q^{33} + 48 q^{34} + 8 q^{35} + 22 q^{37} - 16 q^{38} - 8 q^{39} + 60 q^{40} + 32 q^{41} + 12 q^{42} + 4 q^{44} - 44 q^{46} - 14 q^{47} - 6 q^{49} - 68 q^{50} + 12 q^{51} - 82 q^{52} - 8 q^{53} + 8 q^{56} - 6 q^{57} - 84 q^{58} + 70 q^{59} + 2 q^{60} + 36 q^{61} - 48 q^{62} + 2 q^{63} - 8 q^{65} + 38 q^{67} + 36 q^{68} + 8 q^{69} - 40 q^{70} - 36 q^{71} + 18 q^{72} - 46 q^{73} + 40 q^{74} - 10 q^{75} + 60 q^{76} - 60 q^{77} + 32 q^{78} - 38 q^{80} - 18 q^{81} - 24 q^{83} + 38 q^{84} + 44 q^{85} - 24 q^{86} + 36 q^{87} - 168 q^{88} + 38 q^{89} - 14 q^{91} - 40 q^{92} + 56 q^{96} - 36 q^{97} + 58 q^{98} + 8 q^{99}+O(q^{100}) \) 36 * q + 4 * q^7 + 18 * q^9 + 4 * q^11 + 16 * q^12 - 36 * q^14 + 12 * q^16 - 4 * q^17 - 12 * q^19 - 44 * q^20 + 6 * q^21 - 8 * q^22 + 12 * q^23 - 18 * q^24 + 48 * q^25 - 28 * q^26 + 12 * q^28 - 16 * q^29 - 56 * q^32 + 4 * q^33 + 48 * q^34 + 8 * q^35 + 22 * q^37 - 16 * q^38 - 8 * q^39 + 60 * q^40 + 32 * q^41 + 12 * q^42 + 4 * q^44 - 44 * q^46 - 14 * q^47 - 6 * q^49 - 68 * q^50 + 12 * q^51 - 82 * q^52 - 8 * q^53 + 8 * q^56 - 6 * q^57 - 84 * q^58 + 70 * q^59 + 2 * q^60 + 36 * q^61 - 48 * q^62 + 2 * q^63 - 8 * q^65 + 38 * q^67 + 36 * q^68 + 8 * q^69 - 40 * q^70 - 36 * q^71 + 18 * q^72 - 46 * q^73 + 40 * q^74 - 10 * q^75 + 60 * q^76 - 60 * q^77 + 32 * q^78 - 38 * q^80 - 18 * q^81 - 24 * q^83 + 38 * q^84 + 44 * q^85 - 24 * q^86 + 36 * q^87 - 168 * q^88 + 38 * q^89 - 14 * q^91 - 40 * q^92 + 56 * q^96 - 36 * q^97 + 58 * q^98 + 8 * q^99

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