LMFDB - Embedded newform 273.2.bz.a.31.7

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			31.7
Character	$\chi$	$=$	273.31
Dual form			273.2.bz.a.229.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.918377 + 0.246078i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.949189 - 0.548015i) q^{4} +(0.213650 - 0.797354i) q^{5} +(-0.672298 - 0.672298i) q^{6} +(-1.42430 - 2.22965i) q^{7} +(-2.08146 - 2.08146i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(0.918377 + 0.246078i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.949189 - 0.548015i) q^{4} +(0.213650 - 0.797354i) q^{5} +(-0.672298 - 0.672298i) q^{6} +(-1.42430 - 2.22965i) q^{7} +(-2.08146 - 2.08146i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.392423 - 0.679697i) q^{10} +(-1.60602 + 0.430332i) 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} +(0.246078 + 0.918377i) q^{18} +(1.61226 - 6.01702i) q^{19} +(-0.639756 + 0.639756i) q^{20} +(0.118656 + 2.64309i) q^{21} -1.58083 q^{22} +(6.64218 - 3.83486i) q^{23} +(0.761866 + 2.84332i) q^{24} +(3.74000 + 2.15929i) q^{25} +(-3.40008 - 0.437109i) q^{26} -1.00000i q^{27} +(0.130050 + 2.89690i) q^{28} -1.62679 q^{29} +(-0.679697 + 0.392423i) q^{30} +(-0.265838 + 0.0712312i) q^{31} +(1.37445 + 5.12950i) q^{32} +(1.60602 + 0.430332i) q^{33} +(1.77071 - 1.77071i) q^{34} +(-2.08213 + 0.659308i) q^{35} -1.09603i q^{36} +(-3.07067 + 11.4599i) q^{37} +(2.96132 - 5.12915i) q^{38} +(3.33528 + 1.36964i) q^{39} +(-2.10436 + 1.21495i) q^{40} +(-6.98937 - 6.98937i) q^{41} +(-0.541436 + 2.45655i) q^{42} +2.91142i q^{43} +(1.76025 + 0.471657i) q^{44} +(0.797354 - 0.213650i) q^{45} +(7.04370 - 1.88735i) q^{46} +(7.66774 + 2.05456i) q^{47} +0.606660i q^{48} +(-2.94272 + 6.35141i) q^{49} +(2.90338 + 2.90338i) q^{50} +(-2.28095 + 1.31690i) q^{51} +(3.65556 + 1.50117i) q^{52} +(3.41271 - 5.91098i) q^{53} +(0.246078 - 0.918377i) q^{54} +1.37251i q^{55} +(-1.67630 + 7.60555i) q^{56} +(-4.40477 + 4.40477i) q^{57} +(-1.49400 - 0.400317i) q^{58} +(-1.89041 - 7.05512i) q^{59} +(0.873923 - 0.234167i) q^{60} +(5.64073 - 3.25668i) q^{61} -0.261668 q^{62} +(1.21879 - 2.34831i) q^{63} +6.26236i q^{64} +(-0.379508 + 2.95202i) q^{65} +(1.36904 + 0.790414i) q^{66} +(1.94649 + 7.26439i) q^{67} +(-2.49998 + 1.44337i) q^{68} -7.66973 q^{69} +(-2.07442 + 0.0931267i) q^{70} +(11.0013 - 11.0013i) q^{71} +(0.761866 - 2.84332i) q^{72} +(-0.753492 - 2.81207i) 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} +(-0.483723 + 0.129613i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-4.69894 - 8.13880i) q^{82} +(-10.9290 - 10.9290i) q^{83} +(1.33582 - 2.57382i) q^{84} +(-1.53736 - 1.53736i) q^{85} +(-0.716437 + 2.67378i) q^{86} +(1.40884 + 0.813393i) q^{87} +(4.23858 + 2.44715i) q^{88} +(2.57181 + 0.689115i) q^{89} +0.784846 q^{90} +(6.16297 + 7.28134i) q^{91} -8.40625 q^{92} +(0.265838 + 0.0712312i) q^{93} +(6.53629 + 3.77373i) q^{94} +(-4.45324 - 2.57108i) q^{95} +(1.37445 - 5.12950i) q^{96} +(4.73504 + 4.73504i) q^{97} +(-4.26547 + 5.10885i) q^{98} +(-1.17569 - 1.17569i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q - 6 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q - 6 * q^7 + 18 * q^9	$ 36 q - 6 q^{7} + 18 q^{9} + 4 q^{11} - 16 q^{12} - 36 q^{14} + 12 q^{16} + 4 q^{17} - 18 q^{19} + 44 q^{20} + 2 q^{21} - 8 q^{22} - 12 q^{23} - 18 q^{24} - 48 q^{25} - 32 q^{26} + 4 q^{28} - 16 q^{29} - 6 q^{31} + 76 q^{32} - 4 q^{33} - 48 q^{34} + 8 q^{35} - 8 q^{37} + 16 q^{38} + 10 q^{39} + 60 q^{40} - 32 q^{41} + 12 q^{42} + 4 q^{44} + 28 q^{46} + 14 q^{47} + 6 q^{49} - 68 q^{50} - 12 q^{51} - 62 q^{52} - 8 q^{53} - 8 q^{56} - 6 q^{57} + 36 q^{58} + 26 q^{59} - 46 q^{60} + 36 q^{61} + 48 q^{62} - 8 q^{65} - 40 q^{67} + 36 q^{68} - 8 q^{69} - 64 q^{70} - 36 q^{71} - 18 q^{72} - 8 q^{73} + 40 q^{74} + 10 q^{75} - 60 q^{76} + 60 q^{77} + 32 q^{78} + 26 q^{80} - 18 q^{81} + 24 q^{83} - 18 q^{84} + 44 q^{85} + 48 q^{86} + 36 q^{87} + 168 q^{88} + 10 q^{89} + 4 q^{91} - 40 q^{92} + 6 q^{93} + 76 q^{96} + 36 q^{97} + 38 q^{98} + 8 q^{99}+O(q^{100}) $ 36 * q - 6 * q^7 + 18 * q^9 + 4 * q^11 - 16 * q^12 - 36 * q^14 + 12 * q^16 + 4 * q^17 - 18 * q^19 + 44 * q^20 + 2 * q^21 - 8 * q^22 - 12 * q^23 - 18 * q^24 - 48 * q^25 - 32 * q^26 + 4 * q^28 - 16 * q^29 - 6 * q^31 + 76 * q^32 - 4 * q^33 - 48 * q^34 + 8 * q^35 - 8 * q^37 + 16 * q^38 + 10 * q^39 + 60 * q^40 - 32 * q^41 + 12 * q^42 + 4 * q^44 + 28 * q^46 + 14 * q^47 + 6 * q^49 - 68 * q^50 - 12 * q^51 - 62 * q^52 - 8 * q^53 - 8 * q^56 - 6 * q^57 + 36 * q^58 + 26 * q^59 - 46 * q^60 + 36 * q^61 + 48 * q^62 - 8 * q^65 - 40 * q^67 + 36 * q^68 - 8 * q^69 - 64 * q^70 - 36 * q^71 - 18 * q^72 - 8 * q^73 + 40 * q^74 + 10 * q^75 - 60 * q^76 + 60 * q^77 + 32 * q^78 + 26 * q^80 - 18 * q^81 + 24 * q^83 - 18 * q^84 + 44 * q^85 + 48 * q^86 + 36 * q^87 + 168 * q^88 + 10 * q^89 + 4 * q^91 - 40 * q^92 + 6 * q^93 + 76 * q^96 + 36 * q^97 + 38 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.918377	+	0.246078i	0.649390	+	0.174004i	0.568453	−	0.822716i	$-0.307542\pi$
$2$	0.918377	+	0.246078i	0.649390	+	0.174004i	0.0809372	+	0.996719i	$0.474209\pi$
$3$	−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
$5$	0.213650	−	0.797354i	0.0955473	−	0.356587i	−0.901555	−	0.432665i	$-0.857573\pi$
$5$	0.213650	−	0.797354i	0.0955473	−	0.356587i	0.997102	+	0.0760780i	$0.0242398\pi$
$6$	−0.672298	−	0.672298i	−0.274465	−	0.274465i
$7$	−1.42430	−	2.22965i	−0.538336	−	0.842730i
$7$	−1.42430	−	2.22965i	−0.538336	−	0.842730i
$8$	−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
$11$	−1.60602	+	0.430332i	−0.484234	+	0.129750i	−0.492673	−	0.870214i	$-0.663980\pi$
$11$	−1.60602	+	0.430332i	−0.484234	+	0.129750i	0.00843964	+	0.999964i	$0.497314\pi$
$12$	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	−0.660966	−	0.750416i	$-0.729853\pi$
$17$	1.31690	−	2.28095i	0.319396	−	0.553211i	0.980362	+	0.197205i	$0.0631865\pi$
$18$	0.246078	+	0.918377i	0.0580012	+	0.216463i
$19$	1.61226	−	6.01702i	0.369877	−	1.38040i	−0.490811	−	0.871266i	$-0.663299\pi$
$19$	1.61226	−	6.01702i	0.369877	−	1.38040i	0.860688	−	0.509133i	$-0.170034\pi$
$20$	−0.639756	+	0.639756i	−0.143054	+	0.143054i
$21$	0.118656	+	2.64309i	0.0258929	+	0.576769i
$22$	−1.58083			−0.337034
$23$	6.64218	−	3.83486i	1.38499	−	0.799624i	0.392245	−	0.919861i	$-0.371699\pi$
$23$	6.64218	−	3.83486i	1.38499	−	0.799624i	0.992745	+	0.120237i	$0.0383654\pi$
$24$	0.761866	+	2.84332i	0.155515	+	0.580391i
$25$	3.74000	+	2.15929i	0.748000	+	0.431858i
$26$	−3.40008	−	0.437109i	−0.666811	−	0.0857242i
$27$		−	1.00000i		−	0.192450i
$28$	0.130050	+	2.89690i	0.0245772	+	0.547463i
$29$	−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
$31$	−0.265838	+	0.0712312i	−0.0477460	+	0.0127935i	−0.282613	−	0.959234i	$-0.591201\pi$
$31$	−0.265838	+	0.0712312i	−0.0477460	+	0.0127935i	0.234867	+	0.972028i	$0.424535\pi$
$32$	1.37445	+	5.12950i	0.242970	+	0.906776i
$33$	1.60602	+	0.430332i	0.279572	+	0.0749112i
$34$	1.77071	−	1.77071i	0.303674	−	0.303674i
$35$	−2.08213	+	0.659308i	−0.351944	+	0.111443i
$36$		−	1.09603i		−	0.182672i
$37$	−3.07067	+	11.4599i	−0.504815	+	1.88400i	−0.0387428	+	0.999249i	$0.512335\pi$
$37$	−3.07067	+	11.4599i	−0.504815	+	1.88400i	−0.466072	+	0.884747i	$0.654331\pi$
$38$	2.96132	−	5.12915i	0.480389	−	0.832058i
$39$	3.33528	+	1.36964i	0.534072	+	0.219319i
$40$	−2.10436	+	1.21495i	−0.332729	+	0.192101i
$41$	−6.98937	−	6.98937i	−1.09156	−	1.09156i	−0.995363	−	0.0961931i	$-0.969333\pi$
$41$	−6.98937	−	6.98937i	−1.09156	−	1.09156i	−0.0961931	−	0.995363i	$-0.530667\pi$
$42$	−0.541436	+	2.45655i	−0.0835454	+	0.379054i
$43$			2.91142i			0.443987i	0.975048	+	0.221993i	$0.0712564\pi$
$43$			2.91142i			0.443987i	−0.975048	+	0.221993i	$0.928744\pi$
$44$	1.76025	+	0.471657i	0.265367	+	0.0711049i
$45$	0.797354	−	0.213650i	0.118862	−	0.0318491i
$46$	7.04370	−	1.88735i	1.03854	−	0.278275i
$47$	7.66774	+	2.05456i	1.11845	+	0.299689i	0.770258	−	0.637733i	$-0.220127\pi$
$47$	7.66774	+	2.05456i	1.11845	+	0.299689i	0.348197	+	0.937422i	$0.386794\pi$
$48$			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
$52$	3.65556	+	1.50117i	0.506935	+	0.208175i
$53$	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	$0.0113634\pi$
$54$	0.246078	−	0.918377i	0.0334870	−	0.124975i
$55$			1.37251i			0.185069i
$56$	−1.67630	+	7.60555i	−0.224005	+	1.01633i
$57$	−4.40477	+	4.40477i	−0.583426	+	0.583426i
$58$	−1.49400	−	0.400317i	−0.196172	−	0.0525642i
$59$	−1.89041	−	7.05512i	−0.246111	−	0.918499i	−0.972822	−	0.231555i	$-0.925619\pi$
$59$	−1.89041	−	7.05512i	−0.246111	−	0.918499i	0.726711	−	0.686944i	$-0.241048\pi$
$60$	0.873923	−	0.234167i	0.112823	−	0.0302308i
$61$	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
$63$	1.21879	−	2.34831i	0.153553	−	0.295859i
$64$			6.26236i			0.782795i
$65$	−0.379508	+	2.95202i	−0.0470721	+	0.366153i
$66$	1.36904	+	0.790414i	0.168517	+	0.0972932i
$67$	1.94649	+	7.26439i	0.237801	+	0.887486i	0.976866	+	0.213852i	$0.0686010\pi$
$67$	1.94649	+	7.26439i	0.237801	+	0.887486i	−0.739065	+	0.673634i	$0.764732\pi$
$68$	−2.49998	+	1.44337i	−0.303168	+	0.175034i
$69$	−7.66973			−0.923327
$70$	−2.07442	+	0.0931267i	−0.247940	+	0.0111308i
$71$	11.0013	−	11.0013i	1.30562	−	1.30562i	0.381070	−	0.924546i	$-0.375556\pi$
$71$	11.0013	−	11.0013i	1.30562	−	1.30562i	0.924546	−	0.381070i	$-0.124444\pi$
$72$	0.761866	−	2.84332i	0.0897867	−	0.335089i
$73$	−0.753492	−	2.81207i	−0.0881896	−	0.329128i	0.907710	−	0.419599i	$-0.137829\pi$
$73$	−0.753492	−	2.81207i	−0.0881896	−	0.329128i	−0.995899	+	0.0904712i	$0.971163\pi$
$74$	−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	$-0.495708\pi$
$80$	−0.483723	+	0.129613i	−0.0540819	+	0.0144912i
$81$	−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	−0.974284	−	0.225324i	$-0.927656\pi$
$83$	−10.9290	−	10.9290i	−1.19961	−	1.19961i	−0.225324	−	0.974284i	$-0.572344\pi$
$84$	1.33582	−	2.57382i	0.145750	−	0.280827i
$85$	−1.53736	−	1.53736i	−0.166751	−	0.166751i
$86$	−0.716437	+	2.67378i	−0.0772553	+	0.288321i
$87$	1.40884	+	0.813393i	0.151043	+	0.0872049i
$88$	4.23858	+	2.44715i	0.451834	+	0.260867i
$89$	2.57181	+	0.689115i	0.272611	+	0.0730460i	0.392535	−	0.919737i	$-0.371598\pi$
$89$	2.57181	+	0.689115i	0.272611	+	0.0730460i	−0.119923	+	0.992783i	$0.538265\pi$
$90$	0.784846			0.0827300
$91$	6.16297	+	7.28134i	0.646054	+	0.763291i
$92$	−8.40625			−0.876412
$93$	0.265838	+	0.0712312i	0.0275662	+	0.00738633i
$94$	6.53629	+	3.77373i	0.674167	+	0.389230i
$95$	−4.45324	−	2.57108i	−0.456892	−	0.263787i
$96$	1.37445	−	5.12950i	0.140279	−	0.523527i
$97$	4.73504	+	4.73504i	0.480770	+	0.480770i	0.905378	−	0.424607i	$-0.139588\pi$
$97$	4.73504	+	4.73504i	0.480770	+	0.480770i	−0.424607	+	0.905378i	$0.639588\pi$
$98$	−4.26547	+	5.10885i	−0.430877	+	0.516072i
$99$	−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	−0.813171	−	0.582025i	$-0.802260\pi$
$101$	0.979496	−	1.69654i	0.0974635	−	0.168812i	0.910634	+	0.413214i	$0.135594\pi$
$102$	−2.41883	+	0.648124i	−0.239500	+	0.0641738i
$103$	1.62630	+	2.81684i	0.160244	+	0.277551i	0.934956	−	0.354763i	$-0.115438\pi$
$103$	1.62630	+	2.81684i	0.160244	+	0.277551i	−0.774712	+	0.632314i	$0.782105\pi$
$104$	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
$109$	−0.141007	−	0.526247i	−0.0135061	−	0.0504053i	0.958844	−	0.283934i	$-0.0916395\pi$
$109$	−0.141007	−	0.526247i	−0.0135061	−	0.0504053i	−0.972350	+	0.233528i	$0.924973\pi$
$110$	−0.337744	+	1.26048i	−0.0322027	+	0.120182i
$111$	8.38923	−	8.38923i	0.796270	−	0.796270i
$112$	−0.739389	+	1.42463i	−0.0698657	+	0.134615i
$113$	−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
$115$	−1.63864	−	6.11549i	−0.152804	−	0.570272i
$116$	1.54413	+	0.891503i	0.143369	+	0.0827740i
$117$	−2.20361	−	2.85378i	−0.203724	−	0.263833i
$118$		−	6.94445i		−	0.639289i
$119$	−6.96139	+	0.312517i	−0.638150	+	0.0286484i
$120$	2.42991			0.221819
$121$	−7.13216	+	4.11776i	−0.648378	+	0.374341i
$122$	5.98171	−	1.60279i	0.541559	−	0.145110i
$123$	2.55829	+	9.54765i	0.230673	+	0.860883i
$124$	0.291367	+	0.0780715i	0.0261655	+	0.00701103i
$125$	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	$-0.878518\pi$
$127$		−	8.39461i		−	0.744902i	0.928052	−	0.372451i	$-0.121482\pi$
$128$	1.20786	−	4.50780i	0.106761	−	0.398437i
$129$	1.45571	−	2.52136i	0.128168	−	0.221993i
$130$	−1.07496	+	2.61768i	−0.0942802	+	0.229586i
$131$	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
$135$	−0.797354	−	0.213650i	−0.0686253	−	0.0183881i
$136$	−7.48877	+	2.00661i	−0.642157	+	0.172065i
$137$	−0.588434	+	0.157670i	−0.0502733	+	0.0134707i	−0.283868	−	0.958863i	$-0.591618\pi$
$137$	−0.588434	+	0.157670i	−0.0502733	+	0.0134707i	0.233595	+	0.972334i	$0.424951\pi$
$138$	−7.04370	−	1.88735i	−0.599599	−	0.160662i
$139$			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
$143$	5.53152	−	2.31097i	0.462569	−	0.193253i
$144$	0.303330	−	0.525383i	0.0252775	−	0.0437819i
$145$	−0.347564	+	1.29712i	−0.0288636	+	0.107720i
$146$		−	2.76796i		−	0.229078i
$147$	5.72417	−	4.02912i	0.472122	−	0.332317i
$148$	9.19484	−	9.19484i	0.755811	−	0.755811i
$149$	2.02486	+	0.542560i	0.165883	+	0.0444482i	0.340805	−	0.940134i	$-0.389301\pi$
$149$	2.02486	+	0.542560i	0.165883	+	0.0444482i	−0.174922	+	0.984582i	$0.555967\pi$
$150$	−1.06271	−	3.96608i	−0.0867698	−	0.323829i
$151$	−2.72315	+	0.729666i	−0.221607	+	0.0593794i	−0.367914	−	0.929860i	$-0.619928\pi$
$151$	−2.72315	+	0.729666i	−0.221607	+	0.0593794i	0.146307	+	0.989239i	$0.453261\pi$
$152$	−15.8800	+	9.16833i	−1.28804	+	0.743649i
$153$	2.63381			0.212931
$154$	2.25158	+	3.52470i	0.181437	+	0.284028i
$155$			0.227186i			0.0182480i
$156$	−2.41523	−	3.12783i	−0.193373	−	0.250427i
$157$	−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	$0.691978\pi$
$158$	−3.75849	−	14.0269i	−0.299010	−	1.11592i
$159$	−5.91098	+	3.41271i	−0.468772	+	0.270645i
$160$	4.38368			0.346560
$161$	−18.0109	−	9.34775i	−1.41946	−	0.736706i
$162$	−0.672298	+	0.672298i	−0.0528208	+	0.0528208i
$163$	2.88227	−	10.7568i	0.225757	−	0.842537i	−0.756343	−	0.654176i	$-0.773016\pi$
$163$	2.88227	−	10.7568i	0.225757	−	0.842537i	0.982100	−	0.188361i	$-0.0603176\pi$
$164$	2.80396	+	10.4645i	0.218952	+	0.817141i
$165$	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	−0.225625	+	0.974214i	$0.572442\pi$
$167$	−15.5053	+	15.5053i	−1.19984	+	1.19984i	−0.974214	+	0.225625i	$0.927558\pi$
$168$	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
$171$	6.01702	−	1.61226i	0.460133	−	0.123292i
$172$	1.59550	−	2.76349i	0.121656	−	0.210714i
$173$	4.72433	+	8.18278i	0.359184	+	0.622125i	0.987825	−	0.155571i	$-0.0497217\pi$
$173$	4.72433	+	8.18278i	0.359184	+	0.622125i	−0.628641	+	0.777696i	$0.716388\pi$
$174$	1.09369	+	1.09369i	0.0829121	+	0.0829121i
$175$	−0.512425	−	11.4144i	−0.0387357	−	0.862847i
$176$	0.713244	+	0.713244i	0.0537628	+	0.0537628i
$177$	−1.89041	+	7.05512i	−0.142092	+	0.530296i
$178$	2.19232	+	1.26573i	0.164321	+	0.0948708i
$179$	12.6068	+	7.27856i	0.942279	+	0.544025i	0.890674	−	0.454643i	$-0.150233\pi$
$179$	12.6068	+	7.27856i	0.942279	+	0.544025i	0.0516048	+	0.998668i	$0.483566\pi$
$180$	−0.873923	−	0.234167i	−0.0651384	−	0.0174538i
$181$	1.33889			0.0995190			0.0497595	−	0.998761i	$-0.484155\pi$
$181$	1.33889			0.0995190			0.0497595	+	0.998761i	$0.484155\pi$
$182$	3.86815	+	8.20358i	0.286726	+	0.608090i
$183$	−6.51335			−0.481481
$184$	−21.8075	−	5.84330i	−1.60767	−	0.430774i
$185$	8.48154	+	4.89682i	0.623576	+	0.360022i
$186$	0.226611	+	0.130834i	0.0166160	+	0.00959323i
$187$	−1.13341	+	4.22995i	−0.0828834	+	0.309325i
$188$	−6.15220	−	6.15220i	−0.448696	−	0.448696i
$189$	−2.22965	+	1.42430i	−0.162183	+	0.103603i
$190$	−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
$193$	−18.6409	+	4.99482i	−1.34180	+	0.359535i	−0.857103	−	0.515145i	$-0.827738\pi$
$193$	−18.6409	+	4.99482i	−1.34180	+	0.359535i	−0.484700	+	0.874680i	$0.661071\pi$
$194$	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	−0.487045	−	0.873377i	$-0.661925\pi$
$197$	5.42243	−	5.42243i	0.386332	−	0.386332i	0.873377	+	0.487045i	$0.161925\pi$
$198$	−0.790414	−	1.36904i	−0.0561723	−	0.0972932i
$199$	12.3806	−	21.4438i	0.877635	−	1.52011i	0.0237055	−	0.999719i	$-0.492454\pi$
$199$	12.3806	−	21.4438i	0.877635	−	1.52011i	0.853929	−	0.520389i	$-0.174213\pi$
$200$	−3.29018	−	12.2791i	−0.232651	−	0.868264i
$201$	1.94649	−	7.26439i	0.137295	−	0.512390i
$202$	1.31703	−	1.31703i	0.0926657	−	0.0926657i
$203$	2.31704	+	3.62717i	0.162624	+	0.254578i
$204$	2.88673			0.202112
$205$	−7.06628	+	4.07972i	−0.493530	+	0.284940i
$206$	0.800396	+	2.98712i	0.0557662	+	0.208122i
$207$	6.64218	+	3.83486i	0.461663	+	0.266541i
$208$	1.33684	+	1.73128i	0.0926935	+	0.120043i
$209$			10.3573i			0.716427i
$210$	1.84306	+	0.956559i	0.127183	+	0.0660088i
$211$	−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
$213$	−15.0281	+	4.02676i	−1.02971	+	0.275909i
$214$	2.36895	+	8.84103i	0.161938	+	0.604360i
$215$	2.32143	+	0.622025i	0.158320	+	0.0424218i
$216$	−2.08146	+	2.08146i	−0.141625	+	0.141625i
$217$	0.537456	+	0.491273i	0.0364849	+	0.0333498i
$218$		−	0.517992i		−	0.0350828i
$219$	−0.753492	+	2.81207i	−0.0509163	+	0.190022i
$220$	0.752154	−	1.30277i	0.0507102	−	0.0878327i
$221$	−3.60738	+	8.78449i	−0.242659	+	0.590909i
$222$	9.76888	−	5.64007i	0.655644	−	0.378536i
$223$	5.03109	+	5.03109i	0.336906	+	0.336906i	0.855202	−	0.518295i	$-0.173433\pi$
$223$	5.03109	+	5.03109i	0.336906	+	0.336906i	−0.518295	+	0.855202i	$0.673433\pi$
$224$	9.47939	−	10.3705i	0.633368	−	0.692909i
$225$			4.31858i			0.287905i
$226$	−0.0235050	−	0.00629815i	−0.00156353	−	0.000418946i
$227$	−23.2329	+	6.22524i	−1.54202	+	0.413184i	−0.926919	−	0.375262i	$-0.877553\pi$
$227$	−23.2329	+	6.22524i	−1.54202	+	0.413184i	−0.615104	+	0.788446i	$0.710886\pi$
$228$	6.59483	−	1.76708i	0.436754	−	0.117028i
$229$	−8.98640	−	2.40790i	−0.593838	−	0.159118i	−0.0506313	−	0.998717i	$-0.516123\pi$
$229$	−8.98640	−	2.40790i	−0.593838	−	0.159118i	−0.543207	+	0.839599i	$0.682790\pi$
$230$		−	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	−0.302744	−	0.953072i	$-0.597903\pi$
$233$	5.66718	−	3.27195i	0.371269	−	0.214352i	0.674013	+	0.738720i	$0.264569\pi$
$234$	−1.32149	−	3.16311i	−0.0863887	−	0.206779i
$235$	3.27643	−	5.67494i	0.213731	−	0.370192i
$236$	−2.07195	+	7.73262i	−0.134872	+	0.503351i
$237$			15.2736i			0.992124i
$238$	−6.47009	−	1.42604i	−0.419393	−	0.0924364i
$239$	−5.12266	+	5.12266i	−0.331357	+	0.331357i	−0.853102	−	0.521745i	$-0.825281\pi$
$239$	−5.12266	+	5.12266i	−0.331357	+	0.331357i	0.521745	+	0.853102i	$0.325281\pi$
$240$	0.483723	+	0.129613i	0.0312242	+	0.00836649i
$241$	1.42306	+	5.31093i	0.0916672	+	0.342107i	0.996493	−	0.0836750i	$-0.0266658\pi$
$241$	1.42306	+	5.31093i	0.0916672	+	0.342107i	−0.904826	+	0.425782i	$0.859999\pi$
$242$	−7.56330	+	2.02658i	−0.486187	+	0.130274i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	−7.13883			−0.457017
$245$	4.43561	+	3.70337i	0.283381	+	0.236600i
$246$			9.39788i			0.599187i
$247$	−2.86385	+	22.2767i	−0.182223	+	1.41743i
$248$	0.701596	+	0.405066i	0.0445514	+	0.0257217i
$249$	4.00027	+	14.9292i	0.253507	+	0.946101i
$250$	6.33381	−	3.65683i	0.400585	−	0.231278i
$251$	4.19610			0.264855			0.132428	−	0.991193i	$-0.457723\pi$
$251$	4.19610			0.264855			0.132428	+	0.991193i	$0.457723\pi$
$252$	−2.44377	+	1.56108i	−0.153943	+	0.0983387i
$253$	−9.01721	+	9.01721i	−0.566907	+	0.566907i
$254$	2.06573	−	7.70942i	0.129616	−	0.483732i
$255$	0.562714	+	2.10008i	0.0352385	+	0.131512i
$256$	8.48090	−	14.6893i	0.530056	−	0.918084i
$257$	14.1130	+	24.4445i	0.880348	+	1.52481i	0.850955	+	0.525239i	$0.176024\pi$
$257$	14.1130	+	24.4445i	0.880348	+	1.52481i	0.0293931	+	0.999568i	$0.490643\pi$
$258$	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
$262$	2.90412	−	0.778157i	0.179417	−	0.0480747i
$263$	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
$266$	−15.6541	+	0.702756i	−0.959812	+	0.0430887i
$267$	−1.88270	−	1.88270i	−0.115219	−	0.115219i
$268$	2.13341	−	7.96198i	0.130319	−	0.486355i
$269$	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
$271$	22.2103	+	5.95123i	1.34918	+	0.361512i	0.859832	−	0.510577i	$-0.170568\pi$
$271$	22.2103	+	5.95123i	1.34918	+	0.361512i	0.489348	+	0.872089i	$0.337235\pi$
$272$	−1.59783			−0.0968825
$273$	−1.69662	−	9.38730i	−0.102684	−	0.568146i
$274$	−0.579204			−0.0349910
$275$	−6.93573	−	1.85842i	−0.418240	−	0.112067i
$276$	7.28002	+	4.20312i	0.438206	+	0.252998i
$277$	9.47021	+	5.46763i	0.569010	+	0.328518i	0.756754	−	0.653700i	$-0.226784\pi$
$277$	9.47021	+	5.46763i	0.569010	+	0.328518i	−0.187744	+	0.982218i	$0.560118\pi$
$278$	−1.87474	+	6.99661i	−0.112439	+	0.419629i
$279$	−0.194607	−	0.194607i	−0.0116508	−	0.0116508i
$280$	5.70617	+	2.96153i	0.341009	+	0.176986i
$281$	7.47632	+	7.47632i	0.446000	+	0.446000i	0.894022	−	0.448023i	$-0.147872\pi$
$281$	7.47632	+	7.47632i	0.446000	+	0.446000i	−0.448023	+	0.894022i	$0.647872\pi$
$282$	−3.77373	−	6.53629i	−0.224722	−	0.389230i
$283$	−14.6668	+	25.4036i	−0.871849	+	1.51009i	−0.0117666	+	0.999931i	$0.503746\pi$
$283$	−14.6668	+	25.4036i	−0.871849	+	1.51009i	−0.860082	+	0.510156i	$0.829588\pi$
$284$	−16.4712	+	4.41345i	−0.977387	+	0.261890i
$285$	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
$291$	−1.73314	−	6.46818i	−0.101599	−	0.379171i
$292$	−0.825849	+	3.08211i	−0.0483292	+	0.180367i
$293$	−0.419685	+	0.419685i	−0.0245183	+	0.0245183i	−0.719260	−	0.694741i	$-0.755519\pi$
$293$	−0.419685	+	0.419685i	−0.0245183	+	0.0245183i	0.694741	+	0.719260i	$0.255519\pi$
$294$	6.24843	−	2.29166i	0.364416	−	0.133652i
$295$	−6.02932			−0.351040
$296$	30.2447	−	17.4618i	1.75794	−	1.01495i
$297$	0.430332	+	1.60602i	0.0249704	+	0.0931908i
$298$	1.72607	+	0.996549i	0.0999887	+	0.0577285i
$299$	−21.8877	+	16.9011i	−1.26580	+	0.977416i
$300$			4.73329i			0.273277i
$301$	6.49145	−	4.14674i	0.374161	−	0.239014i
$302$	−2.68043			−0.154242
$303$	−1.69654	+	0.979496i	−0.0974635	+	0.0562706i
$304$	−3.65029	+	0.978092i	−0.209358	+	0.0560974i
$305$	−1.39158	−	5.19345i	−0.0796816	−	0.297376i
$306$	2.41883	+	0.648124i	0.138275	+	0.0370508i
$307$	3.75766	−	3.75766i	0.214461	−	0.214461i	−0.591698	−	0.806159i	$-0.701542\pi$
$307$	3.75766	−	3.75766i	0.214461	−	0.214461i	0.806159	+	0.591698i	$0.201542\pi$
$308$	−1.45549	−	4.59652i	−0.0829345	−	0.261911i
$309$		−	3.25261i		−	0.185034i
$310$	−0.0559055	+	0.208642i	−0.00317522	+	0.0118501i
$311$	4.59532	−	7.95933i	0.260577	−	0.451332i	−0.705818	−	0.708393i	$-0.749421\pi$
$311$	4.59532	−	7.95933i	0.260577	−	0.451332i	0.966395	+	0.257060i	$0.0827539\pi$
$312$	−4.09138	−	9.79309i	−0.231629	−	0.554424i
$313$	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
$317$	13.9869	+	3.74779i	0.785585	+	0.210497i	0.629246	−	0.777206i	$-0.283364\pi$
$317$	13.9869	+	3.74779i	0.785585	+	0.210497i	0.156340	+	0.987703i	$0.450031\pi$
$318$	−6.26830	+	1.67959i	−0.351509	+	0.0941866i
$319$	2.61265	−	0.700059i	0.146281	−	0.0391958i
$320$	4.99331	+	1.33795i	0.279135	+	0.0747939i
$321$		−	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
$325$	−14.4037	−	5.91492i	−0.798972	−	0.328101i
$326$	5.29403	−	9.16952i	0.293209	−	0.507853i
$327$	−0.141007	+	0.526247i	−0.00779773	+	0.0291015i
$328$			29.0961i			1.60656i
$329$	−6.34022	−	20.0227i	−0.349548	−	1.10389i
$330$	0.922735	−	0.922735i	0.0507949	−	0.0507949i
$331$	−11.5661	−	3.09914i	−0.635733	−	0.170344i	−0.0734629	−	0.997298i	$-0.523405\pi$
$331$	−11.5661	−	3.09914i	−0.635733	−	0.170344i	−0.562270	+	0.826954i	$0.690072\pi$
$332$	4.38442	+	16.3629i	0.240626	+	0.898029i
$333$	−11.4599	+	3.07067i	−0.627999	+	0.168272i
$334$	−18.0553	+	10.4242i	−0.987940	+	0.570388i
$335$	6.20815			0.339188
$336$	1.35264	−	0.864068i	0.0737927	−	0.0471388i
$337$			13.6434i			0.743201i	0.928393	+	0.371601i	$0.121191\pi$
$337$			13.6434i			0.743201i	−0.928393	+	0.371601i	$0.878809\pi$
$338$	12.3598	−	0.0752093i	0.672286	−	0.00409084i
$339$	0.0221651	+	0.0127970i	0.00120384	+	0.000695040i
$340$	0.616752	+	2.30175i	0.0334480	+	0.124830i
$341$	0.396289	−	0.228798i	0.0214603	−	0.0123901i
$342$	5.92264			0.320259
$343$	18.3528	−	2.48509i	0.990957	−	0.134182i
$344$	6.05999	−	6.05999i	0.326733	−	0.326733i
$345$	−1.63864	+	6.11549i	−0.0882214	+	0.329247i
$346$	2.32511	+	8.67743i	0.124999	+	0.466501i
$347$	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	$-0.719578\pi$
$349$	2.52114	−	2.52114i	0.134954	−	0.134954i	0.771357	+	0.636403i	$0.219578\pi$
$350$	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
$353$	−2.63378	+	0.705719i	−0.140182	+	0.0375616i	−0.328228	−	0.944599i	$-0.606451\pi$
$353$	−2.63378	+	0.705719i	−0.140182	+	0.0375616i	0.188046	+	0.982160i	$0.439785\pi$
$354$	−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
$357$	6.18500	+	3.21005i	0.327345	+	0.169894i
$358$	9.78673	+	9.78673i	0.517245	+	0.517245i
$359$	3.23126	−	12.0592i	0.170540	−	0.636462i	−0.826729	−	0.562600i	$-0.809801\pi$
$359$	3.23126	−	12.0592i	0.170540	−	0.636462i	0.997268	−	0.0738618i	$-0.0235324\pi$
$360$	−2.10436	−	1.21495i	−0.110910	−	0.0640337i
$361$	−17.1507	−	9.90196i	−0.902669	−	0.521156i
$362$	1.22961	+	0.329472i	0.0646267	+	0.0173167i
$363$	8.23551			0.432252
$364$	−1.85954	−	10.2888i	−0.0974664	−	0.539278i
$365$	−2.40320			−0.125789
$366$	−5.98171	−	1.60279i	−0.312669	−	0.0837794i
$367$	−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
$369$	2.55829	−	9.54765i	0.133179	−	0.497031i
$370$	6.58425	+	6.58425i	0.342299	+	0.342299i
$371$	−18.0402	+	0.809877i	−0.936600	+	0.0420467i
$372$	−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
$375$	−7.43021	+	1.99092i	−0.383694	+	0.102811i
$376$	−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	−0.576459	−	0.817126i	$-0.695566\pi$
$379$	4.68530	−	4.68530i	0.240667	−	0.240667i	0.817126	+	0.576459i	$0.195566\pi$
$380$	2.81798	+	4.88088i	0.144559	+	0.250384i
$381$	−4.19731	+	7.26995i	−0.215035	+	0.372451i
$382$	1.90640	+	7.11480i	0.0975401	+	0.364025i
$383$	8.88124	−	33.1452i	0.453810	−	1.69364i	−0.237752	−	0.971326i	$-0.576410\pi$
$383$	8.88124	−	33.1452i	0.453810	−	1.69364i	0.691562	−	0.722317i	$-0.256923\pi$
$384$	−3.29994	+	3.29994i	−0.168399	+	0.168399i
$385$	3.06022	−	1.95487i	0.155963	−	0.0996293i
$386$	−18.3485			−0.933915
$387$	−2.52136	+	1.45571i	−0.128168	+	0.0739978i
$388$	−1.89958	−	7.08932i	−0.0964364	−	0.359906i
$389$	−33.5602	−	19.3760i	−1.70157	−	0.982402i	−0.944175	−	0.329444i	$-0.893139\pi$
$389$	−33.5602	−	19.3760i	−1.70157	−	0.982402i	−0.757394	−	0.652958i	$-0.773528\pi$
$390$	2.23978	−	1.72950i	0.113416	−	0.0875765i
$391$		−	20.2006i		−	1.02159i
$392$	19.3453	−	7.09504i	0.977086	−	0.358354i
$393$	−3.16223			−0.159513
$394$	6.31418	−	3.64549i	0.318104	−	0.183657i
$395$	−12.1784	+	3.26320i	−0.612763	+	0.164189i
$396$	0.471657	+	1.76025i	0.0237016	+	0.0884557i
$397$	−2.60243	−	0.697319i	−0.130612	−	0.0349974i	0.192921	−	0.981214i	$-0.438204\pi$
$397$	−2.60243	−	0.697319i	−0.130612	−	0.0349974i	−0.323533	+	0.946217i	$0.604871\pi$
$398$	16.6469	−	16.6469i	0.834432	−	0.834432i
$399$	16.0948	+	3.54738i	0.805749	+	0.177591i
$400$		−	2.61991i		−	0.130996i
$401$	5.72905	−	21.3811i	0.286095	−	1.06772i	−0.661940	−	0.749557i	$-0.730267\pi$
$401$	5.72905	−	21.3811i	0.286095	−	1.06772i	0.948035	−	0.318165i	$-0.103067\pi$
$402$	3.57522	−	6.19246i	0.178316	−	0.308852i
$403$	0.915612	−	0.382527i	0.0456099	−	0.0190550i
$404$	−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
$408$	7.48877	+	2.00661i	0.370749	+	0.0993420i
$409$	−24.5309	+	6.57304i	−1.21298	+	0.325016i	−0.807929	−	0.589280i	$-0.799412\pi$
$409$	−24.5309	+	6.57304i	−1.21298	+	0.325016i	−0.405047	+	0.914296i	$0.632745\pi$
$410$	−7.49344	+	2.00786i	−0.370074	+	0.0991612i
$411$	0.588434	+	0.157670i	0.0290253	+	0.00777731i
$412$		−	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
$416$	−7.38106	−	17.6672i	−0.361886	−	0.866208i
$417$	3.80923	−	6.59778i	0.186539	−	0.323094i
$418$	−2.54870	+	9.51188i	−0.124661	+	0.465241i
$419$		−	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	−0.942344	−	0.334645i	$-0.891383\pi$
$421$	−12.4689	+	12.4689i	−0.607699	+	0.607699i	0.334645	+	0.942344i	$0.391383\pi$
$422$	−4.74412	−	1.27118i	−0.230940	−	0.0618802i
$423$	2.05456	+	7.66774i	0.0998963	+	0.372818i
$424$	−19.4069	+	5.20005i	−0.942480	+	0.252537i
$425$	9.85045	−	5.68716i	0.477817	−	0.275868i
$426$	−14.7923			−0.716691
$427$	−15.2954	−	7.93838i	−0.740195	−	0.384165i
$428$		−	10.5513i		−	0.510014i
$429$	−5.94593	−	0.764400i	−0.287072	−	0.0369056i
$430$	1.97888	+	1.14251i	0.0954301	+	0.0550966i
$431$	−7.94019	−	29.6332i	−0.382466	−	1.42738i	−0.842123	−	0.539285i	$-0.818695\pi$
$431$	−7.94019	−	29.6332i	−0.382466	−	1.42738i	0.459658	−	0.888096i	$-0.347972\pi$
$432$	−0.525383	+	0.303330i	−0.0252775	+	0.0145940i
$433$	19.5928			0.941570			0.470785	−	0.882248i	$-0.343971\pi$
$433$	19.5928			0.941570			0.470785	+	0.882248i	$0.343971\pi$
$434$	0.372695	+	0.583430i	0.0178899	+	0.0280055i
$435$	0.949561	−	0.949561i	0.0455280	−	0.0455280i
$436$	−0.154548	+	0.576782i	−0.00740152	+	0.0276229i
$437$	−12.3656	−	46.1489i	−0.591525	−	2.20760i
$438$	−1.38398	+	2.39712i	−0.0661291	+	0.114539i
$439$	14.6233	+	25.3283i	0.697932	+	1.20885i	0.969182	+	0.246345i	$0.0792296\pi$
$439$	14.6233	+	25.3283i	0.697932	+	1.20885i	−0.271250	+	0.962509i	$0.587437\pi$
$440$	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	$0.506638\pi$
$444$	−12.5604	+	3.36555i	−0.596090	+	0.159722i
$445$	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
$448$	13.9629	−	8.91950i	0.659685	−	0.421407i
$449$	−18.6383	−	18.6383i	−0.879595	−	0.879595i	0.113897	−	0.993493i	$-0.463667\pi$
$449$	−18.6383	−	18.6383i	−0.879595	−	0.879595i	−0.993493	+	0.113897i	$0.963667\pi$
$450$	−1.06271	+	3.96608i	−0.0500966	+	0.186963i
$451$	14.2328	+	8.21732i	0.670197	+	0.386939i
$452$	0.0242936	+	0.0140259i	0.00114268	+	0.000659724i
$453$	2.72315	+	0.729666i	0.127945	+	0.0342827i
$454$	−22.8685			−1.07327
$455$	7.12252	−	3.35840i	0.333909	−	0.157444i
$456$	18.3367			0.858692
$457$	26.2098	+	7.02291i	1.22605	+	0.328518i	0.813038	−	0.582210i	$-0.197812\pi$
$457$	26.2098	+	7.02291i	1.22605	+	0.328518i	0.413007	+	0.910728i	$0.364479\pi$
$458$	−7.66037	−	4.42272i	−0.357946	−	0.206660i
$459$	−2.28095	−	1.31690i	−0.106465	−	0.0614679i
$460$	−1.79600	+	6.70275i	−0.0837388	+	0.312517i
$461$	17.4101	+	17.4101i	0.810871	+	0.810871i	0.984765	−	0.173893i	$-0.0556348\pi$
$461$	17.4101	+	17.4101i	0.810871	+	0.810871i	−0.173893	+	0.984765i	$0.555635\pi$
$462$	−0.187575	−	4.17827i	−0.00872677	−	0.194391i
$463$	4.54005	+	4.54005i	0.210994	+	0.210994i	0.804690	−	0.593696i	$-0.202332\pi$
$463$	4.54005	+	4.54005i	0.210994	+	0.210994i	−0.593696	+	0.804690i	$0.702332\pi$
$464$	0.493453	+	0.854686i	0.0229080	+	0.0396778i
$465$	0.113593	−	0.196749i	0.00526775	−	0.00912401i
$466$	6.00976	−	1.61031i	0.278397	−	0.0745962i
$467$	9.61792	+	16.6587i	0.445064	+	0.770874i	0.998057	−	0.0623122i	$-0.0198475\pi$
$467$	9.61792	+	16.6587i	0.445064	+	0.770874i	−0.552992	+	0.833186i	$0.686514\pi$
$468$	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
$473$	−1.25288	−	4.67580i	−0.0576073	−	0.214993i
$474$	−3.75849	+	14.0269i	−0.172633	+	0.644276i
$475$	19.0223	−	19.0223i	0.872805	−	0.872805i
$476$	6.77895	+	3.51831i	0.310712	+	0.161261i
$477$	6.82542			0.312514
$478$	−5.96510	+	3.44395i	−0.272837	+	0.157523i
$479$	−2.25801	−	8.42700i	−0.103171	−	0.385040i	0.894960	−	0.446146i	$-0.147204\pi$
$479$	−2.25801	−	8.42700i	−0.103171	−	0.385040i	−0.998131	+	0.0611063i	$0.980537\pi$
$480$	−3.79638	−	2.19184i	−0.173280	−	0.100043i
$481$	5.45444	−	42.4277i	0.248701	−	1.93454i
$482$			5.22761i			0.238111i
$483$	10.9240	+	17.1008i	0.497060	+	0.778115i
$484$	9.02636			0.410289
$485$	4.78714	−	2.76386i	0.217373	−	0.125500i
$486$	0.918377	−	0.246078i	0.0416584	−	0.0111623i
$487$	6.12233	+	22.8488i	0.277429	+	1.03538i	0.954196	+	0.299182i	$0.0967138\pi$
$487$	6.12233	+	22.8488i	0.277429	+	1.03538i	−0.676767	+	0.736197i	$0.736620\pi$
$488$	−18.5196	−	4.96230i	−0.838341	−	0.224633i
$489$	−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	$0.106908\pi$
$491$			14.6061i			0.659165i	−0.944127	+	0.329583i	$0.893092\pi$
$492$	2.80396	−	10.4645i	0.126412	−	0.471777i
$493$	−2.14232	+	3.71061i	−0.0964854	+	0.167118i
$494$	−8.11190	+	19.7536i	−0.364972	+	0.888758i
$495$	−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
$499$	11.5922	+	3.10611i	0.518937	+	0.139049i	0.508775	−	0.860900i	$-0.330099\pi$
$499$	11.5922	+	3.10611i	0.518937	+	0.139049i	0.0101620	+	0.999948i	$0.496765\pi$
$500$	−8.14372	+	2.18210i	−0.364198	+	0.0975867i
$501$	21.1807	−	5.67535i	0.946283	−	0.253556i
$502$	3.85360	+	1.03257i	0.171994	+	0.0460858i
$503$			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
$507$	−12.5773	−	3.28818i	−0.558576	−	0.146033i
$508$	−4.60037	+	7.96808i	−0.204109	+	0.353526i
$509$	−1.95844	+	7.30901i	−0.0868064	+	0.323966i	−0.995650	−	0.0931708i	$-0.970300\pi$
$509$	−1.95844	+	7.30901i	−0.0868064	+	0.323966i	0.908844	+	0.417137i	$0.136966\pi$
$510$			2.06714i			0.0915343i
$511$	−5.19674	+	5.68527i	−0.229890	+	0.251501i
$512$	4.80352	−	4.80352i	0.212287	−	0.212287i
$513$	−6.01702	−	1.61226i	−0.265658	−	0.0711829i
$514$	6.94583	+	25.9222i	0.306367	+	1.14338i
$515$	2.59348	−	0.694920i	0.114282	−	0.0306219i
$516$	−2.76349	+	1.59550i	−0.121656	+	0.0702379i
$517$	−13.1987			−0.580478
$518$	29.8144	−	1.33846i	1.30997	−	0.0588083i
$519$		−	9.44866i		−	0.414750i
$520$	6.93443	−	5.35457i	0.304095	−	0.234814i
$521$	−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	$0.807105\pi$
$522$	−0.400317	−	1.49400i	−0.0175214	−	0.0653907i
$523$	−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
$525$	−5.26342	+	10.1414i	−0.229715	+	0.442606i
$526$	18.5720	−	18.5720i	0.809778	−	0.809778i
$527$	−0.187609	+	0.700168i	−0.00817240	+	0.0304998i
$528$	−0.261065	−	0.974309i	−0.0113614	−	0.0424014i
$529$	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
$535$	7.67597	−	2.05677i	0.331861	−	0.0889219i
$536$	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
$539$	1.99285	−	11.4668i	0.0858382	−	0.493912i
$540$	0.639756	+	0.639756i	0.0275307	+	0.0275307i
$541$	−2.23911	+	8.35648i	−0.0962669	+	0.359273i	−0.997208	−	0.0746673i	$-0.976211\pi$
$541$	−2.23911	+	8.35648i	−0.0962669	+	0.359273i	0.900942	+	0.433940i	$0.142877\pi$
$542$	18.9330	+	10.9310i	0.813240	+	0.469525i
$543$	−1.15951	−	0.669446i	−0.0497595	−	0.0287287i
$544$	13.5101	+	3.62003i	0.579242	+	0.155207i
$545$	−0.449731			−0.0192644
$546$	0.751879	−	9.03858i	0.0321775	−	0.386816i
$547$	−35.0884			−1.50027			−0.750136	−	0.661283i	$-0.770012\pi$
$547$	−35.0884			−1.50027			−0.750136	+	0.661283i	$0.770012\pi$
$548$	0.644941	+	0.172811i	0.0275505	+	0.00738214i
$549$	5.64073	+	3.25668i	0.240740	+	0.138992i
$550$	−5.91230	−	3.41347i	−0.252101	−	0.145551i
$551$	−2.62280	+	9.78841i	−0.111735	+	0.417000i
$552$	15.9642	+	15.9642i	0.679481	+	0.679481i
$553$	−18.6152	+	35.8671i	−0.791599	+	1.52522i
$554$	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
$557$	30.6540	−	8.21373i	1.29885	−	0.348027i	0.457837	−	0.889036i	$-0.348624\pi$
$557$	30.6540	−	8.21373i	1.29885	−	0.348027i	0.841016	+	0.541010i	$0.181958\pi$
$558$	−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	−0.998866	−	0.0476107i	$-0.984839\pi$
$563$	−10.8720	+	18.8309i	−0.458201	+	0.793627i	0.540665	+	0.841238i	$0.318173\pi$
$564$	2.25186	+	8.40407i	0.0948205	+	0.353875i
$565$	−0.00546818	+	0.0204075i	−0.000230048	+	0.000858551i
$566$	−19.7209	+	19.7209i	−0.828931	+	0.828931i
$567$	2.64309	−	0.118656i	0.110999	−	0.00498308i
$568$	−45.7975			−1.92162
$569$	33.3531	−	19.2564i	1.39823	−	0.807270i	0.404026	−	0.914748i	$-0.367611\pi$
$569$	33.3531	−	19.2564i	1.39823	−	0.807270i	0.994208	+	0.107477i	$0.0342773\pi$
$570$	1.26537	+	4.72244i	0.0530006	+	0.197801i
$571$	−15.5625	−	8.98501i	−0.651270	−	0.376011i	0.137672	−	0.990478i	$-0.456038\pi$
$571$	−15.5625	−	8.98501i	−0.651270	−	0.376011i	−0.788943	+	0.614467i	$0.789371\pi$
$572$	−6.51691	−	0.837805i	−0.272486	−	0.0350304i
$573$		−	7.74714i		−	0.323642i
$574$	−11.4540	+	22.0691i	−0.478081	+	0.921148i
$575$	33.1223			1.38130
$576$	−5.42336	+	3.13118i	−0.225973	+	0.130466i
$577$	6.58987	−	1.76575i	0.274340	−	0.0735091i	−0.119026	−	0.992891i	$-0.537977\pi$
$577$	6.58987	−	1.76575i	0.274340	−	0.0735091i	0.393366	+	0.919382i	$0.371311\pi$
$578$	2.47630	+	9.24167i	0.103000	+	0.384403i
$579$	18.6409	+	4.99482i	0.774691	+	0.207578i
$580$	1.04075	−	1.04075i	0.0432147	−	0.0432147i
$581$	−8.80164	+	39.9339i	−0.365153	+	1.65674i
$582$		−	6.36672i		−	0.263909i
$583$	−2.93720	+	10.9618i	−0.121646	+	0.453990i
$584$	−4.28484	+	7.42156i	−0.177308	+	0.307106i
$585$	−2.74628	+	1.14735i	−0.113545	+	0.0474370i
$586$	−0.488704	+	0.282154i	−0.0201882	+	0.0116557i
$587$	−18.0156	−	18.0156i	−0.743585	−	0.743585i	0.229681	−	0.973266i	$-0.426232\pi$
$587$	−18.0156	−	18.0156i	−0.743585	−	0.743585i	−0.973266	+	0.229681i	$0.926232\pi$
$588$	−7.64134	+	0.687470i	−0.315124	+	0.0283508i
$589$			1.71440i			0.0706406i
$590$	−5.53719	−	1.48368i	−0.227962	−	0.0610823i
$591$	−7.40718	+	1.98475i	−0.304691	+	0.0816416i
$592$	6.95227	−	1.86285i	0.285736	−	0.0765628i
$593$	23.1547	+	6.20427i	0.950848	+	0.254779i	0.700722	−	0.713434i	$-0.252861\pi$
$593$	23.1547	+	6.20427i	0.950848	+	0.254779i	0.250126	+	0.968213i	$0.419528\pi$
$594$			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
$598$	−24.2602	+	10.1355i	−0.992073	+	0.414471i
$599$	−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	$0.269234\pi$
$600$	−3.29018	+	12.2791i	−0.134321	+	0.501293i
$601$		−	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
$604$	2.98465	+	0.799736i	0.121444	+	0.0325408i
$605$	1.75952	+	6.56662i	0.0715346	+	0.266971i
$606$	−1.79909	+	0.482066i	−0.0730832	+	0.0195826i
$607$	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
$609$	−0.193028	−	4.29974i	−0.00782189	−	0.174234i
$610$		−	5.11198i		−	0.206978i
$611$	−28.3881	−	3.64953i	−1.14846	−	0.147644i
$612$	−2.49998	−	1.44337i	−0.101056	−	0.0583446i
$613$	−6.21549	−	23.1965i	−0.251041	−	0.936899i	−0.970250	−	0.242105i	$-0.922162\pi$
$613$	−6.21549	−	23.1965i	−0.251041	−	0.936899i	0.719209	−	0.694794i	$-0.244504\pi$
$614$	4.37563	−	2.52627i	0.176586	−	0.101952i
$615$	8.15944			0.329020
$616$	−0.580737	−	12.9360i	−0.0233986	−	0.521208i
$617$	−5.37879	+	5.37879i	−0.216542	+	0.216542i	−0.807039	−	0.590497i	$-0.798932\pi$
$617$	−5.37879	+	5.37879i	−0.216542	+	0.216542i	0.590497	+	0.807039i	$0.298932\pi$
$618$	0.800396	−	2.98712i	0.0321966	−	0.120160i
$619$	−7.96726	−	29.7342i	−0.320231	−	1.19512i	−0.919019	−	0.394212i	$-0.871017\pi$
$619$	−7.96726	−	29.7342i	−0.320231	−	1.19512i	0.598788	−	0.800908i	$-0.295649\pi$
$620$	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
$626$	3.60550	−	0.966092i	0.144105	−	0.0386128i
$627$	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
$630$	−1.11786	−	1.74994i	−0.0445366	−	0.0697191i
$631$	4.93640	+	4.93640i	0.196515	+	0.196515i	0.798504	−	0.601989i	$-0.205625\pi$
$631$	4.93640	+	4.93640i	0.196515	+	0.196515i	−0.601989	+	0.798504i	$0.705625\pi$
$632$	−11.6364	+	43.4276i	−0.462871	+	1.72746i
$633$	4.47368	+	2.58288i	0.177813	+	0.102660i
$634$	11.9230	+	6.88377i	0.473524	+	0.273389i
$635$	−6.69348	−	1.79351i	−0.265623	−	0.0711734i
$636$	7.48086			0.296635
$637$	7.45693	−	24.1121i	0.295454	−	0.955357i
$638$	2.57167			0.101813
$639$	15.0281	+	4.02676i	0.594502	+	0.159296i
$640$	−3.33625	−	1.92619i	−0.131877	−	0.0761392i
$641$	17.6069	+	10.1653i	0.695430	+	0.401506i	0.805643	−	0.592401i	$-0.201820\pi$
$641$	17.6069	+	10.1653i	0.695430	+	0.401506i	−0.110213	+	0.993908i	$0.535153\pi$
$642$	2.36895	−	8.84103i	0.0934949	−	0.348928i
$643$	−7.11371	−	7.11371i	−0.280537	−	0.280537i	0.552786	−	0.833323i	$-0.313565\pi$
$643$	−7.11371	−	7.11371i	−0.280537	−	0.280537i	−0.833323	+	0.552786i	$0.813565\pi$
$644$	11.9730	+	18.7430i	0.471804	+	0.738579i
$645$	−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	$0.540433\pi$
$647$	−23.4621	+	40.6375i	−0.922389	+	1.59763i	−0.795707	+	0.605682i	$0.792900\pi$
$648$	2.84332	−	0.761866i	0.111696	−	0.0299289i
$649$	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
$655$	−0.675612	−	2.52142i	−0.0263983	−	0.0985199i
$656$	−1.55201	+	5.79218i	−0.0605958	+	0.226147i
$657$	2.05858	−	2.05858i	0.0803128	−	0.0803128i
$658$	−0.895551	−	19.9486i	−0.0349122	−	0.777677i
$659$	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
$661$	−4.53276	−	16.9165i	−0.176304	−	0.657976i	−0.996326	−	0.0856434i	$-0.972705\pi$
$661$	−4.53276	−	16.9165i	−0.176304	−	0.657976i	0.820022	−	0.572332i	$-0.193961\pi$
$662$	−9.85944	−	5.69235i	−0.383198	−	0.221240i
$663$	7.51633	−	5.80390i	0.291910	−	0.225405i
$664$			45.4963i			1.76560i
$665$	0.610147	+	13.5912i	0.0236605	+	0.527043i
$666$	−11.2801			−0.437096
$667$	−10.8054	+	6.23850i	−0.418387	+	0.241556i
$668$	23.2147	−	6.22035i	0.898202	−	0.240673i
$669$	−1.84151	−	6.87259i	−0.0711967	−	0.265710i
$670$	5.70142	+	1.52769i	0.220265	+	0.0590199i
$671$	−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	$-0.788931\pi$
$673$		−	31.9379i		−	1.23112i	0.788092	−	0.615558i	$-0.211069\pi$
$674$	−3.35733	+	12.5297i	−0.129320	+	0.482628i
$675$	2.15929	−	3.74000i	0.0831111	−	0.143953i
$676$	−13.7851	−	3.60394i	−0.530195	−	0.138613i
$677$	−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
$681$	23.2329	+	6.22524i	0.890287	+	0.238552i
$682$	0.420245	−	0.112604i	0.0160920	−	0.00431184i
$683$	−20.7424	+	5.55790i	−0.793684	+	0.212667i	−0.632809	−	0.774308i	$-0.718098\pi$
$683$	−20.7424	+	5.55790i	−0.793684	+	0.212667i	−0.160875	+	0.986975i	$0.551432\pi$
$684$	−6.59483	−	1.76708i	−0.252160	−	0.0675660i
$685$			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
$689$	−9.34839	+	22.7647i	−0.356145	+	0.867264i
$690$	−3.00978	+	5.21309i	−0.114580	+	0.198459i
$691$	−0.809649	+	3.02165i	−0.0308005	+	0.114949i	−0.979615	−	0.200886i	$-0.935618\pi$
$691$	−0.809649	+	3.02165i	−0.0308005	+	0.114949i	0.948814	+	0.315835i	$0.102285\pi$
$692$		−	10.3560i		−	0.393676i
$693$	−0.946842	+	4.29592i	−0.0359676	+	0.163188i
$694$	2.31022	−	2.31022i	0.0876948	−	0.0876948i
$695$	6.07460	+	1.62769i	0.230423	+	0.0617416i
$696$	−1.23939	−	4.62548i	−0.0469791	−	0.175328i
$697$	−25.1467	+	6.73804i	−0.952499	+	0.255221i
$698$	2.93576	−	1.69496i	0.111120	−	0.0641552i
$699$	−6.54389			−0.247513
$700$	−5.76887	+	11.1152i	−0.218043	+	0.420117i
$701$			42.1574i			1.59226i	0.605124	+	0.796131i	$0.293123\pi$
$701$			42.1574i			1.59226i	−0.605124	+	0.796131i	$0.706877\pi$
$702$	−0.437109	+	3.40008i	−0.0164976	+	0.128328i
$703$	64.0038	+	36.9526i	2.41395	+	1.39369i
$704$	−2.69489	−	10.0575i	−0.101568	−	0.379055i
$705$	−5.67494	+	3.27643i	−0.213731	+	0.123397i
$706$	−2.59246			−0.0975687
$707$	−5.17779	+	0.232446i	−0.194731	+	0.00874204i
$708$	5.66067	−	5.66067i	0.212741	−	0.212741i
$709$	10.0613	−	37.5492i	0.377859	−	1.41019i	−0.471263	−	0.881993i	$-0.656202\pi$
$709$	10.0613	−	37.5492i	0.377859	−	1.41019i	0.849122	−	0.528196i	$-0.177132\pi$
$710$	−3.16039	−	11.7947i	−0.118607	−	0.442648i
$711$	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
$717$	6.99768	−	1.87502i	0.261333	−	0.0700240i
$718$	5.93503	−	10.2798i	0.221494	−	0.383638i
$719$	−9.22269	−	15.9742i	−0.343948	−	0.595736i	0.641214	−	0.767362i	$-0.278431\pi$
$719$	−9.22269	−	15.9742i	−0.343948	−	0.595736i	−0.985162	+	0.171626i	$0.945098\pi$
$720$	−0.354110	−	0.354110i	−0.0131969	−	0.0131969i
$721$	3.96423	−	7.63813i	0.147636	−	0.284459i
$722$	−13.3142	−	13.3142i	−0.495501	−	0.495501i
$723$	1.42306	−	5.31093i	0.0529241	−	0.197515i
$724$	−1.27086	−	0.733732i	−0.0472312	−	0.0272689i
$725$	−6.08418	−	3.51270i	−0.225961	−	0.130459i
$726$	7.56330	+	2.02658i	0.280700	+	0.0752135i
$727$	−41.2199			−1.52876			−0.764382	−	0.644764i	$-0.776956\pi$
$727$	−41.2199			−1.52876			−0.764382	+	0.644764i	$0.776956\pi$
$728$	2.32784	−	27.9837i	0.0862755	−	1.03715i
$729$	−1.00000			−0.0370370
$730$	−2.20704	−	0.591375i	−0.0816863	−	0.0218878i
$731$	6.64079	+	3.83406i	0.245618	+	0.141808i
$732$	6.18241	+	3.56941i	0.228508	+	0.131929i
$733$	−3.90329	+	14.5673i	−0.144171	+	0.538055i	0.855619	+	0.517605i	$0.173176\pi$
$733$	−3.90329	+	14.5673i	−0.144171	+	0.538055i	−0.999791	+	0.0204498i	$0.993490\pi$
$734$	−9.04301	−	9.04301i	−0.333784	−	0.333784i
$735$	−1.98967	−	5.42502i	−0.0733899	−	0.200105i
$736$	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
$739$	−14.4426	+	3.86989i	−0.531280	+	0.142356i	−0.514479	−	0.857503i	$-0.672015\pi$
$739$	−14.4426	+	3.86989i	−0.531280	+	0.142356i	−0.0168007	+	0.999859i	$0.505348\pi$
$740$	−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	−0.381599	−	0.924328i	$-0.624627\pi$
$743$	14.7937	−	14.7937i	0.542729	−	0.542729i	0.924328	+	0.381599i	$0.124627\pi$
$744$	−0.405066	−	0.701596i	−0.0148505	−	0.0257217i
$745$	0.865224	−	1.49861i	0.0316994	−	0.0549049i
$746$	3.11972	+	11.6429i	0.114221	+	0.426278i
$747$	4.00027	−	14.9292i	0.146362	−	0.546232i
$748$	3.39390	−	3.39390i	0.124093	−	0.124093i
$749$	11.7330	−	22.6067i	0.428715	−	0.826031i
$750$	−7.31365			−0.267057
$751$	29.9881	−	17.3136i	1.09428	−	0.631784i	0.159568	−	0.987187i	$-0.448990\pi$
$751$	29.9881	−	17.3136i	1.09428	−	0.631784i	0.934713	+	0.355403i	$0.115656\pi$
$752$	−1.24642	−	4.65171i	−0.0454523	−	0.169630i
$753$	−3.63393	−	2.09805i	−0.132428	−	0.0764571i
$754$	5.53121	+	0.711084i	0.201435	+	0.0258961i
$755$			2.32721i			0.0846958i
$756$	2.89690	−	0.130050i	0.105359	−	0.00472989i
$757$	−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
$759$	12.3177	−	3.30053i	0.447106	−	0.119802i
$760$	3.91763	+	14.6208i	0.142107	+	0.530352i
$761$	−19.5345	−	5.23424i	−0.708124	−	0.189741i	−0.113257	−	0.993566i	$-0.536128\pi$
$761$	−19.5345	−	5.23424i	−0.708124	−	0.189741i	−0.594866	+	0.803825i	$0.702795\pi$
$762$	−5.64369	+	5.64369i	−0.204449	+	0.204449i
$763$	−0.972512	+	1.06393i	−0.0352073	+	0.0385170i
$764$		−	8.49110i		−	0.307197i
$765$	0.562714	−	2.10008i	0.0203450	−	0.0759285i
$766$	16.3127	−	28.2543i	0.589400	−	1.02087i
$767$	10.1519	+	24.2995i	0.366565	+	0.877406i
$768$	−14.6893	+	8.48090i	−0.530056	+	0.306028i
$769$	28.3218	+	28.3218i	1.02131	+	1.02131i	0.999768	+	0.0215423i	$0.00685767\pi$
$769$	28.3218	+	28.3218i	1.02131	+	1.02131i	0.0215423	+	0.999768i	$0.493142\pi$
$770$	3.29148	−	1.04225i	0.118617	−	0.0375602i
$771$		−	28.2261i		−	1.01654i
$772$	20.4310	+	5.47447i	0.735328	+	0.197031i
$773$	20.3223	−	5.44534i	0.730942	−	0.195855i	0.125893	−	0.992044i	$-0.459820\pi$
$773$	20.3223	−	5.44534i	0.730942	−	0.195855i	0.605049	+	0.796189i	$0.293154\pi$
$774$	−2.67378	+	0.716437i	−0.0961070	+	0.0257518i
$775$	−1.14804	−	0.307618i	−0.0412390	−	0.0110500i
$776$		−	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
$780$	−3.01000	+	1.25753i	−0.107775	+	0.0450267i
$781$	−12.9341	+	22.4026i	−0.462820	+	0.801627i
$782$	4.97093	−	18.5518i	0.177760	−	0.663410i
$783$			1.62679i			0.0581366i
$784$	4.22954	−	0.380520i	0.151055	−	0.0135900i
$785$	−1.16194	+	1.16194i	−0.0414715	+	0.0414715i
$786$	−2.90412	−	0.778157i	−0.103587	−	0.0277559i
$787$	−5.75320	−	21.4712i	−0.205079	−	0.765366i	−0.989425	−	0.145043i	$-0.953668\pi$
$787$	−5.75320	−	21.4712i	−0.205079	−	0.765366i	0.784346	−	0.620323i	$-0.212999\pi$
$788$	−8.11849	+	2.17534i	−0.289209	+	0.0774934i
$789$	−23.9236	+	13.8123i	−0.851704	+	0.491732i
$790$	−11.9874			−0.426492
$791$	0.0364537	+	0.0570659i	0.00129615	+	0.00202903i
$792$			4.89429i			0.173911i
$793$	−18.5877	+	14.3529i	−0.660069	+	0.509687i
$794$	−2.21842	−	1.28080i	−0.0787286	−	0.0454540i
$795$	1.45825	+	5.44227i	0.0517189	+	0.193018i
$796$	−23.5030	+	13.5695i	−0.833042	+	0.480957i
$797$	35.2091			1.24717			0.623585	−	0.781756i	$-0.285676\pi$
$797$	35.2091			1.24717			0.623585	+	0.781756i	$0.285676\pi$
$798$	13.9082	+	7.21842i	0.492344	+	0.255529i
$799$	14.7840	−	14.7840i	0.523021	−	0.523021i
$800$	−5.93565	+	22.1522i	−0.209857	+	0.783197i
$801$	0.689115	+	2.57181i	0.0243487	+	0.0908705i
$802$	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
$808$	−5.57005	+	1.49249i	−0.195954	+	0.0525056i
$809$	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	$-0.360659\pi$
$811$	−13.7208	−	13.7208i	−0.481801	−	0.481801i	−0.905706	+	0.423906i	$0.860659\pi$
$812$	−0.211564	−	4.71264i	−0.00742445	−	0.165381i
$813$	−16.2591	−	16.2591i	−0.570231	−	0.570231i
$814$	4.85420	−	18.1161i	0.170140	−	0.634970i
$815$	−7.96117	−	4.59638i	−0.278868	−	0.161004i
$816$	1.38376	+	0.798914i	0.0484413	+	0.0279676i
$817$	17.5181	+	4.69395i	0.612879	+	0.164221i
$818$	−24.1461			−0.844249
$819$	−3.22434	+	8.97795i	−0.112668	+	0.313715i
$820$	8.94298			0.312303
$821$	−12.8266	−	3.43687i	−0.447651	−	0.119948i	0.0279492	−	0.999609i	$-0.491102\pi$
$821$	−12.8266	−	3.43687i	−0.447651	−	0.119948i	−0.475600	+	0.879662i	$0.657769\pi$
$822$	0.501605	+	0.289602i	0.0174955	+	0.0101010i
$823$	27.6763	+	15.9789i	0.964735	+	0.556990i	0.897627	−	0.440756i	$-0.145289\pi$
$823$	27.6763	+	15.9789i	0.964735	+	0.556990i	0.0671081	+	0.997746i	$0.478623\pi$
$824$	2.47805	−	9.24821i	0.0863269	−	0.322177i
$825$	5.07731	+	5.07731i	0.176769	+	0.176769i
$826$	−15.4837	+	9.89101i	−0.538748	+	0.344152i
$827$	−12.0573	−	12.0573i	−0.419275	−	0.419275i	0.465679	−	0.884954i	$-0.345810\pi$
$827$	−12.0573	−	12.0573i	−0.419275	−	0.419275i	−0.884954	+	0.465679i	$0.845810\pi$
$828$	−4.20312	−	7.28002i	−0.146069	−	0.252998i
$829$	17.4961	−	30.3041i	0.607664	−	1.05251i	−0.383960	−	0.923350i	$-0.625440\pi$
$829$	17.4961	−	30.3041i	0.607664	−	1.05251i	0.991624	−	0.129156i	$-0.0412268\pi$
$830$	−11.7171	+	3.13960i	−0.406708	+	0.108977i
$831$	−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
$837$	0.0712312	+	0.265838i	0.00246211	+	0.00918872i
$838$	1.18258	−	4.41344i	0.0408515	−	0.152460i
$839$	−24.8427	+	24.8427i	−0.857665	+	0.857665i	−0.991063	−	0.133398i	$-0.957411\pi$
$839$	−24.8427	+	24.8427i	−0.857665	+	0.857665i	0.133398	+	0.991063i	$0.457411\pi$
$840$	−3.46092	−	5.41785i	−0.119413	−	0.186934i
$841$	−26.3536			−0.908744
$842$	−14.5195	+	8.38285i	−0.500376	+	0.288892i
$843$	−2.73652	−	10.2128i	−0.0942508	−	0.351749i
$844$	4.90329	+	2.83091i	0.168778	+	0.0974441i
$845$	−0.0652982	−	10.7311i	−0.00224633	−	0.369160i
$846$			7.54746i			0.259487i
$847$	19.3395	+	10.0373i	0.664514	+	0.344886i
$848$	−4.14071			−0.142193
$849$	25.4036	−	14.6668i	0.871849	−	0.503362i
$850$	10.4459	−	2.79897i	0.358292	−	0.0960040i
$851$	23.5512	+	87.8943i	0.807325	+	3.01298i
$852$	16.4712	+	4.41345i	0.564295	+	0.151202i
$853$	−26.4309	+	26.4309i	−0.904978	+	0.904978i	−0.995862	−	0.0908832i	$-0.971031\pi$
$853$	−26.4309	+	26.4309i	−0.904978	+	0.904978i	0.0908832	+	0.995862i	$0.471031\pi$
$854$	−12.0935	−	11.0543i	−0.413829	−	0.378270i
$855$		−	5.14215i		−	0.175858i
$856$	7.33433	−	27.3721i	0.250682	−	0.935559i
$857$	16.3385	−	28.2991i	0.558112	−	0.966678i	−0.439542	−	0.898222i	$-0.644859\pi$
$857$	16.3385	−	28.2991i	0.558112	−	0.966678i	0.997654	−	0.0684560i	$-0.0218073\pi$
$858$	−5.27250	−	2.16517i	−0.180000	−	0.0739177i
$859$	−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
$863$	−47.9141	−	12.8385i	−1.63102	−	0.437029i	−0.676804	−	0.736163i	$-0.736636\pi$
$863$	−47.9141	−	12.8385i	−1.63102	−	0.437029i	−0.954211	+	0.299134i	$0.903302\pi$
$864$	5.12950	−	1.37445i	0.174509	−	0.0467596i
$865$	7.53392	−	2.01871i	0.256161	−	0.0686382i
$866$	17.9936	+	4.82137i	0.611447	+	0.163837i
$867$		−	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
$871$	−10.4530	−	25.0203i	−0.354188	−	0.847781i
$872$	−0.801859	+	1.38886i	−0.0271544	+	0.0470328i
$873$	−1.73314	+	6.46818i	−0.0586580	+	0.218915i
$874$		−	45.4250i		−	1.53652i
$875$	−19.8749	−	4.38053i	−0.671895	−	0.148089i
$876$	2.25626	−	2.25626i	0.0762321	−	0.0762321i
$877$	10.3894	+	2.78382i	0.350824	+	0.0940031i	0.429928	−	0.902863i	$-0.358539\pi$
$877$	10.3894	+	2.78382i	0.350824	+	0.0940031i	−0.0791034	+	0.996866i	$0.525206\pi$
$878$	7.19696	+	26.8594i	0.242885	+	0.906461i
$879$	0.573301	−	0.153615i	0.0193369	−	0.00518132i
$880$	0.721093	−	0.416323i	0.0243080	−	0.0140342i
$881$	0.161372			0.00543678			0.00271839	−	0.999996i	$-0.499135\pi$
$881$	0.161372			0.00543678			0.00271839	+	0.999996i	$0.499135\pi$
$882$	−6.55713	−	1.13958i	−0.220790	−	0.0383716i
$883$			29.4627i			0.991499i	0.868466	+	0.495749i	$0.165107\pi$
$883$			29.4627i			0.991499i	−0.868466	+	0.495749i	$0.834893\pi$
$884$	8.23812	−	6.36124i	0.277078	−	0.213952i
$885$	5.22154	+	3.01466i	0.175520	+	0.101337i
$886$	8.86095	+	33.0695i	0.297689	+	1.11099i
$887$	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
$889$	−18.7171	+	11.9565i	−0.627751	+	0.401007i
$890$	1.47763	−	1.47763i	0.0495302	−	0.0495302i
$891$	0.430332	−	1.60602i	0.0144167	−	0.0538037i
$892$	−2.01834	−	7.53256i	−0.0675792	−	0.252209i
$893$	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
$899$	0.432463	−	0.115878i	0.0144234	−	0.00386475i
$900$	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
$903$	−7.69513	+	0.345457i	−0.256078	+	0.0114961i
$904$	0.0532729	+	0.0532729i	0.00177183	+	0.00177183i
$905$	0.286055	−	1.06757i	0.00950878	−	0.0354872i
$906$	2.32132	+	1.34022i	0.0771208	+	0.0445257i
$907$	9.09871	+	5.25314i	0.302118	+	0.174428i	0.643394	−	0.765535i	$-0.277526\pi$
$907$	9.09871	+	5.25314i	0.302118	+	0.174428i	−0.341276	+	0.939963i	$0.610859\pi$
$908$	25.4640	+	6.82305i	0.845051	+	0.226431i
$909$	1.95899			0.0649757
$910$	7.36759	−	1.33158i	0.244233	−	0.0441415i
$911$	5.45946			0.180880			0.0904400	−	0.995902i	$-0.471173\pi$
$911$	5.45946			0.180880			0.0904400	+	0.995902i	$0.471173\pi$
$912$	3.65029	+	0.978092i	0.120873	+	0.0323879i
$913$	22.2552	+	12.8490i	0.736540	+	0.425241i
$914$	22.3423	+	12.8994i	0.739019	+	0.426673i
$915$	−1.39158	+	5.19345i	−0.0460042	+	0.171690i
$916$	7.21023	+	7.21023i	0.238233	+	0.238233i
$917$	−7.42590	−	3.85408i	−0.245225	−	0.127273i
$918$	−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
$921$	−5.13306	+	1.37540i	−0.169140	+	0.0453209i
$922$	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
$928$	−2.23593	−	8.34460i	−0.0733980	−	0.273925i
$929$	9.20652	−	34.3592i	0.302056	−	1.12729i	−0.633394	−	0.773830i	$-0.718339\pi$
$929$	9.20652	−	34.3592i	0.302056	−	1.12729i	0.935450	−	0.353459i	$-0.114995\pi$
$930$	0.152737	−	0.152737i	0.00500844	−	0.00500844i
$931$	33.4722	+	27.9465i	1.09701	+	0.915910i
$932$	−7.17230			−0.234936
$933$	−7.95933	+	4.59532i	−0.260577	+	0.150444i
$934$	4.73352	+	17.6658i	0.154886	+	0.578041i
$935$	3.13062	+	1.80746i	0.102382	+	0.0591103i
$936$	−1.35330	+	10.5268i	−0.0442341	+	0.344078i
$937$		−	4.32240i		−	0.141207i	−0.997504	−	0.0706034i	$-0.977508\pi$
$937$		−	4.32240i		−	0.141207i	0.997504	−	0.0706034i	$-0.0224925\pi$
$938$	15.9430	−	10.1844i	0.520557	−	0.332532i
$939$	−3.92595			−0.128119
$940$	−6.21990	+	3.59106i	−0.202871	+	0.117128i
$941$	37.1002	−	9.94096i	1.20943	−	0.324066i	0.402892	−	0.915247i	$-0.368005\pi$
$941$	37.1002	−	9.94096i	1.20943	−	0.324066i	0.806539	+	0.591182i	$0.201338\pi$
$942$	0.489853	+	1.82816i	0.0159603	+	0.0595646i
$943$	−73.2279	−	19.6214i	−2.38463	−	0.638959i
$944$	−3.13322	+	3.13322i	−0.101978	+	0.101978i
$945$	0.659308	+	2.08213i	0.0214473	+	0.0677316i
$946$		−	4.60245i		−	0.149639i
$947$	7.19113	−	26.8376i	0.233680	−	0.872106i	−0.745059	−	0.666998i	$-0.767579\pi$
$947$	7.19113	−	26.8376i	0.233680	−	0.872106i	0.978739	−	0.205108i	$-0.0657546\pi$
$948$	8.37014	−	14.4975i	0.271849	−	0.470857i
$949$	4.04641	+	9.68545i	0.131352	+	0.314403i
$950$	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	$0.230254\pi$
$953$			40.8672i			1.32382i	−0.749583	+	0.661910i	$0.769746\pi$
$954$	6.26830	+	1.67959i	0.202944	+	0.0543786i
$955$	6.17721	−	1.65518i	0.199890	−	0.0535604i
$956$	7.66966	−	2.05508i	0.248055	−	0.0664660i
$957$	−2.61265	−	0.700059i	−0.0844551	−	0.0226297i
$958$		−	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
$962$	15.4498	−	37.6224i	0.498120	−	1.21299i
$963$	−4.81340	+	8.33705i	−0.155110	+	0.268658i
$964$	1.55971	−	5.82093i	0.0502350	−	0.187480i
$965$			15.9306i			0.512823i
$966$	5.82422	+	18.3932i	0.187391	+	0.591791i
$967$	28.8321	−	28.8321i	0.927177	−	0.927177i	−0.0703460	−	0.997523i	$-0.522410\pi$
$967$	28.8321	−	28.8321i	0.927177	−	0.927177i	0.997523	+	0.0703460i	$0.0224103\pi$
$968$	23.4162	+	6.27435i	0.752625	+	0.201665i
$969$	4.24638	+	15.8477i	0.136413	+	0.509101i
$970$	5.07653	−	1.36025i	0.162997	−	0.0436750i
$971$	−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
$973$	16.9865	−	10.8510i	0.544563	−	0.347867i
$974$			22.4904i			0.720639i
$975$	9.51648	+	12.3243i	0.304771	+	0.394693i
$976$	−3.42201	−	1.97570i	−0.109536	−	0.0632405i
$977$	7.99928	+	29.8537i	0.255919	+	0.955105i	0.967577	+	0.252578i	$0.0812783\pi$
$977$	7.99928	+	29.8537i	0.255919	+	0.955105i	−0.711657	+	0.702527i	$0.752055\pi$
$978$	−9.16952	+	5.29403i	−0.293209	+	0.169284i
$979$	−4.42693			−0.141485
$980$	−2.18073	−	5.94598i	−0.0696609	−	0.189937i
$981$	0.385240	−	0.385240i	0.0122998	−	0.0122998i
$982$	−3.59425	+	13.4139i	−0.114697	+	0.428056i
$983$	0.499895	+	1.86563i	0.0159442	+	0.0595045i	0.973440	−	0.228944i	$-0.0735273\pi$
$983$	0.499895	+	1.86563i	0.0159442	+	0.0595045i	−0.957495	+	0.288448i	$0.906861\pi$
$984$	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
$990$	−1.26048	+	0.337744i	−0.0400607	+	0.0107342i
$991$	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
$994$	−34.7370	−	18.0287i	−1.10179	−	0.571835i
$995$	−14.4532	−	14.4532i	−0.458196	−	0.458196i
$996$	4.38442	−	16.3629i	0.138926	−	0.518477i
$997$	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
$999$	11.4599	+	3.07067i	0.362575	+	0.0971517i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bz.a.31.7	✓	36	1.1	even	1	trivial
273.2.bz.a.229.7	yes	36	91.47	even	12	inner
273.2.bz.b.73.3	yes	36	13.8	odd	4
273.2.bz.b.187.3	yes	36	7.5	odd	6
819.2.fn.f.577.3		36	3.2	odd	2
819.2.fn.f.775.3		36	273.47	odd	12
819.2.fn.g.73.7		36	39.8	even	4
819.2.fn.g.460.7		36	21.5	even	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.918377 + 0.246078i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.949189 - 0.548015i) q^{4} +(0.213650 - 0.797354i) q^{5} +(-0.672298 - 0.672298i) q^{6} +(-1.42430 - 2.22965i) q^{7} +(-2.08146 - 2.08146i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(0.918377 + 0.246078i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.949189 - 0.548015i) q^{4} +(0.213650 - 0.797354i) q^{5} +(-0.672298 - 0.672298i) q^{6} +(-1.42430 - 2.22965i) q^{7} +(-2.08146 - 2.08146i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.392423 - 0.679697i) q^{10} +(-1.60602 + 0.430332i) 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} +(0.246078 + 0.918377i) q^{18} +(1.61226 - 6.01702i) q^{19} +(-0.639756 + 0.639756i) q^{20} +(0.118656 + 2.64309i) q^{21} -1.58083 q^{22} +(6.64218 - 3.83486i) q^{23} +(0.761866 + 2.84332i) q^{24} +(3.74000 + 2.15929i) q^{25} +(-3.40008 - 0.437109i) q^{26} -1.00000i q^{27} +(0.130050 + 2.89690i) q^{28} -1.62679 q^{29} +(-0.679697 + 0.392423i) q^{30} +(-0.265838 + 0.0712312i) q^{31} +(1.37445 + 5.12950i) q^{32} +(1.60602 + 0.430332i) q^{33} +(1.77071 - 1.77071i) q^{34} +(-2.08213 + 0.659308i) q^{35} -1.09603i q^{36} +(-3.07067 + 11.4599i) q^{37} +(2.96132 - 5.12915i) q^{38} +(3.33528 + 1.36964i) q^{39} +(-2.10436 + 1.21495i) q^{40} +(-6.98937 - 6.98937i) q^{41} +(-0.541436 + 2.45655i) q^{42} +2.91142i q^{43} +(1.76025 + 0.471657i) q^{44} +(0.797354 - 0.213650i) q^{45} +(7.04370 - 1.88735i) q^{46} +(7.66774 + 2.05456i) q^{47} +0.606660i q^{48} +(-2.94272 + 6.35141i) q^{49} +(2.90338 + 2.90338i) q^{50} +(-2.28095 + 1.31690i) q^{51} +(3.65556 + 1.50117i) q^{52} +(3.41271 - 5.91098i) q^{53} +(0.246078 - 0.918377i) q^{54} +1.37251i q^{55} +(-1.67630 + 7.60555i) q^{56} +(-4.40477 + 4.40477i) q^{57} +(-1.49400 - 0.400317i) q^{58} +(-1.89041 - 7.05512i) q^{59} +(0.873923 - 0.234167i) q^{60} +(5.64073 - 3.25668i) q^{61} -0.261668 q^{62} +(1.21879 - 2.34831i) q^{63} +6.26236i q^{64} +(-0.379508 + 2.95202i) q^{65} +(1.36904 + 0.790414i) q^{66} +(1.94649 + 7.26439i) q^{67} +(-2.49998 + 1.44337i) q^{68} -7.66973 q^{69} +(-2.07442 + 0.0931267i) q^{70} +(11.0013 - 11.0013i) q^{71} +(0.761866 - 2.84332i) q^{72} +(-0.753492 - 2.81207i) 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} +(-0.483723 + 0.129613i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-4.69894 - 8.13880i) q^{82} +(-10.9290 - 10.9290i) q^{83} +(1.33582 - 2.57382i) q^{84} +(-1.53736 - 1.53736i) q^{85} +(-0.716437 + 2.67378i) q^{86} +(1.40884 + 0.813393i) q^{87} +(4.23858 + 2.44715i) q^{88} +(2.57181 + 0.689115i) q^{89} +0.784846 q^{90} +(6.16297 + 7.28134i) q^{91} -8.40625 q^{92} +(0.265838 + 0.0712312i) q^{93} +(6.53629 + 3.77373i) q^{94} +(-4.45324 - 2.57108i) q^{95} +(1.37445 - 5.12950i) q^{96} +(4.73504 + 4.73504i) q^{97} +(-4.26547 + 5.10885i) q^{98} +(-1.17569 - 1.17569i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q - 6 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q - 6 * q^7 + 18 * q^9	\( 36 q - 6 q^{7} + 18 q^{9} + 4 q^{11} - 16 q^{12} - 36 q^{14} + 12 q^{16} + 4 q^{17} - 18 q^{19} + 44 q^{20} + 2 q^{21} - 8 q^{22} - 12 q^{23} - 18 q^{24} - 48 q^{25} - 32 q^{26} + 4 q^{28} - 16 q^{29} - 6 q^{31} + 76 q^{32} - 4 q^{33} - 48 q^{34} + 8 q^{35} - 8 q^{37} + 16 q^{38} + 10 q^{39} + 60 q^{40} - 32 q^{41} + 12 q^{42} + 4 q^{44} + 28 q^{46} + 14 q^{47} + 6 q^{49} - 68 q^{50} - 12 q^{51} - 62 q^{52} - 8 q^{53} - 8 q^{56} - 6 q^{57} + 36 q^{58} + 26 q^{59} - 46 q^{60} + 36 q^{61} + 48 q^{62} - 8 q^{65} - 40 q^{67} + 36 q^{68} - 8 q^{69} - 64 q^{70} - 36 q^{71} - 18 q^{72} - 8 q^{73} + 40 q^{74} + 10 q^{75} - 60 q^{76} + 60 q^{77} + 32 q^{78} + 26 q^{80} - 18 q^{81} + 24 q^{83} - 18 q^{84} + 44 q^{85} + 48 q^{86} + 36 q^{87} + 168 q^{88} + 10 q^{89} + 4 q^{91} - 40 q^{92} + 6 q^{93} + 76 q^{96} + 36 q^{97} + 38 q^{98} + 8 q^{99}+O(q^{100}) \) 36 * q - 6 * q^7 + 18 * q^9 + 4 * q^11 - 16 * q^12 - 36 * q^14 + 12 * q^16 + 4 * q^17 - 18 * q^19 + 44 * q^20 + 2 * q^21 - 8 * q^22 - 12 * q^23 - 18 * q^24 - 48 * q^25 - 32 * q^26 + 4 * q^28 - 16 * q^29 - 6 * q^31 + 76 * q^32 - 4 * q^33 - 48 * q^34 + 8 * q^35 - 8 * q^37 + 16 * q^38 + 10 * q^39 + 60 * q^40 - 32 * q^41 + 12 * q^42 + 4 * q^44 + 28 * q^46 + 14 * q^47 + 6 * q^49 - 68 * q^50 - 12 * q^51 - 62 * q^52 - 8 * q^53 - 8 * q^56 - 6 * q^57 + 36 * q^58 + 26 * q^59 - 46 * q^60 + 36 * q^61 + 48 * q^62 - 8 * q^65 - 40 * q^67 + 36 * q^68 - 8 * q^69 - 64 * q^70 - 36 * q^71 - 18 * q^72 - 8 * q^73 + 40 * q^74 + 10 * q^75 - 60 * q^76 + 60 * q^77 + 32 * q^78 + 26 * q^80 - 18 * q^81 + 24 * q^83 - 18 * q^84 + 44 * q^85 + 48 * q^86 + 36 * q^87 + 168 * q^88 + 10 * q^89 + 4 * q^91 - 40 * q^92 + 6 * q^93 + 76 * q^96 + 36 * q^97 + 38 * q^98 + 8 * q^99

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