LMFDB - Embedded newform 185.2.u.a.8.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [185,2,Mod(8,185)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(185, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([9, 1]))

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

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

chi := DirichletCharacter("185.8");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 185 = 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	185.u (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:	$1.47723243739$
Analytic rank:	$0$
Dimension:	$68$
Relative dimension:	$17$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			8.11
Character	$\chi$	$=$	185.8
Dual form			185.2.u.a.162.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.407096 - 0.235037i) q^{2} +(-0.838017 - 3.12752i) q^{3} +(-0.889515 + 1.54069i) q^{4} +(-2.02380 + 0.950915i) q^{5} +(-1.07624 - 1.07624i) q^{6} +(-0.968227 - 3.61347i) q^{7} +1.77643i q^{8} +(-6.48105 + 3.74183i) q^{9} +O(q^{10})$	\(q+(0.407096 - 0.235037i) q^{2} +(-0.838017 - 3.12752i) q^{3} +(-0.889515 + 1.54069i) q^{4} +(-2.02380 + 0.950915i) q^{5} +(-1.07624 - 1.07624i) q^{6} +(-0.968227 - 3.61347i) q^{7} +1.77643i q^{8} +(-6.48105 + 3.74183i) q^{9} +(-0.600381 + 0.862782i) q^{10} -3.20848i q^{11} +(5.56396 + 1.49086i) q^{12} +(0.708690 + 0.409162i) q^{13} +(-1.24346 - 1.24346i) q^{14} +(4.66999 + 5.53259i) q^{15} +(-1.36150 - 2.35819i) q^{16} +(-0.330184 - 0.571896i) q^{17} +(-1.75894 + 3.04657i) q^{18} +(0.437461 + 1.63263i) q^{19} +(0.335138 - 3.96389i) q^{20} +(-10.4898 + 6.05630i) q^{21} +(-0.754113 - 1.30616i) q^{22} -4.26497i q^{23} +(5.55581 - 1.48867i) q^{24} +(3.19152 - 3.84892i) q^{25} +0.384673 q^{26} +(10.2654 + 10.2654i) q^{27} +(6.42847 + 1.72250i) q^{28} +(-0.937440 - 0.937440i) q^{29} +(3.20150 + 1.15468i) q^{30} +(3.86165 - 3.86165i) q^{31} +(-4.18539 - 2.41643i) q^{32} +(-10.0346 + 2.68876i) q^{33} +(-0.268834 - 0.155211i) q^{34} +(5.39560 + 6.39224i) q^{35} -13.3137i q^{36} +(2.61665 - 5.49119i) q^{37} +(0.561817 + 0.561817i) q^{38} +(0.685770 - 2.55933i) q^{39} +(-1.68923 - 3.59513i) q^{40} +(2.21722 + 1.28011i) q^{41} +(-2.84691 + 4.93100i) q^{42} -9.49168i q^{43} +(4.94326 + 2.85399i) q^{44} +(9.55816 - 13.7356i) q^{45} +(-1.00243 - 1.73625i) q^{46} +(-6.02730 + 6.02730i) q^{47} +(-6.23434 + 6.23434i) q^{48} +(-6.05753 + 3.49732i) q^{49} +(0.394617 - 2.31701i) q^{50} +(-1.51192 + 1.51192i) q^{51} +(-1.26078 + 0.727912i) q^{52} +(-2.23181 + 8.32923i) q^{53} +(6.59175 + 1.76625i) q^{54} +(3.05100 + 6.49332i) q^{55} +(6.41906 - 1.71998i) q^{56} +(4.73948 - 2.73634i) q^{57} +(-0.601962 - 0.161295i) q^{58} +(-2.51108 - 0.672842i) q^{59} +(-12.6780 + 2.27366i) q^{60} +(4.00095 + 14.9318i) q^{61} +(0.664433 - 2.47970i) q^{62} +(19.7961 + 19.7961i) q^{63} +3.17421 q^{64} +(-1.82332 - 0.154158i) q^{65} +(-3.45309 + 3.45309i) q^{66} +(-5.70346 + 1.52824i) q^{67} +1.17482 q^{68} +(-13.3388 + 3.57412i) q^{69} +(3.69894 + 1.33409i) q^{70} +(-3.81787 + 6.61274i) q^{71} +(-6.64709 - 11.5131i) q^{72} +(7.41925 - 7.41925i) q^{73} +(-0.225403 - 2.85045i) q^{74} +(-14.7121 - 6.75609i) q^{75} +(-2.90449 - 0.778256i) q^{76} +(-11.5938 + 3.10654i) q^{77} +(-0.322363 - 1.20307i) q^{78} +(-3.47315 - 12.9620i) q^{79} +(4.99785 + 3.47783i) q^{80} +(12.2771 - 21.2646i) q^{81} +1.20349 q^{82} +(-2.60362 + 9.71686i) q^{83} -21.5487i q^{84} +(1.21205 + 0.843425i) q^{85} +(-2.23090 - 3.86403i) q^{86} +(-2.14627 + 3.71746i) q^{87} +5.69963 q^{88} +(1.41656 - 5.28666i) q^{89} +(0.662707 - 7.83826i) q^{90} +(0.792323 - 2.95699i) q^{91} +(6.57098 + 3.79376i) q^{92} +(-15.3135 - 8.84127i) q^{93} +(-1.03705 + 3.87033i) q^{94} +(-2.43782 - 2.88812i) q^{95} +(-4.05003 + 15.1149i) q^{96} +3.89183 q^{97} +(-1.64400 + 2.84749i) q^{98} +(12.0056 + 20.7943i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 68 q - 6 q^{2} - 4 q^{3} + 30 q^{4} - 8 q^{6} - 2 q^{7}+O(q^{10}) $ 68 * q - 6 * q^2 - 4 * q^3 + 30 * q^4 - 8 * q^6 - 2 * q^7	\( 68 q - 6 q^{2} - 4 q^{3} + 30 q^{4} - 8 q^{6} - 2 q^{7} - 6 q^{10} - 10 q^{12} - 6 q^{13} - 16 q^{15} - 26 q^{16} - 10 q^{17} - 8 q^{18} - 4 q^{19} - 28 q^{20} - 12 q^{21} - 14 q^{22} + 20 q^{25} - 24 q^{26} + 68 q^{27} + 14 q^{28} - 14 q^{29} + 26 q^{30} - 24 q^{31} + 18 q^{32} + 10 q^{33} - 22 q^{35} - 18 q^{37} - 36 q^{38} - 52 q^{39} + 84 q^{40} - 18 q^{41} - 40 q^{42} + 36 q^{44} - 66 q^{45} - 52 q^{46} - 24 q^{47} + 60 q^{48} + 36 q^{49} - 12 q^{50} - 8 q^{51} - 78 q^{52} - 38 q^{53} - 40 q^{54} + 6 q^{55} + 16 q^{56} + 90 q^{57} + 16 q^{58} + 8 q^{59} - 52 q^{60} + 4 q^{61} - 22 q^{62} - 48 q^{63} + 20 q^{64} - 20 q^{65} + 80 q^{66} - 56 q^{67} - 20 q^{68} - 8 q^{69} + 62 q^{70} + 4 q^{71} + 32 q^{72} + 60 q^{73} + 44 q^{74} + 64 q^{75} + 72 q^{76} + 6 q^{77} - 24 q^{78} - 56 q^{79} - 76 q^{80} - 6 q^{81} - 8 q^{82} + 12 q^{83} + 20 q^{85} - 4 q^{86} - 32 q^{87} - 36 q^{88} + 22 q^{89} - 74 q^{90} + 44 q^{91} + 156 q^{92} - 30 q^{93} + 20 q^{94} + 28 q^{95} - 8 q^{96} + 16 q^{97} + 48 q^{98} - 32 q^{99}+O(q^{100}) \) 68 * q - 6 * q^2 - 4 * q^3 + 30 * q^4 - 8 * q^6 - 2 * q^7 - 6 * q^10 - 10 * q^12 - 6 * q^13 - 16 * q^15 - 26 * q^16 - 10 * q^17 - 8 * q^18 - 4 * q^19 - 28 * q^20 - 12 * q^21 - 14 * q^22 + 20 * q^25 - 24 * q^26 + 68 * q^27 + 14 * q^28 - 14 * q^29 + 26 * q^30 - 24 * q^31 + 18 * q^32 + 10 * q^33 - 22 * q^35 - 18 * q^37 - 36 * q^38 - 52 * q^39 + 84 * q^40 - 18 * q^41 - 40 * q^42 + 36 * q^44 - 66 * q^45 - 52 * q^46 - 24 * q^47 + 60 * q^48 + 36 * q^49 - 12 * q^50 - 8 * q^51 - 78 * q^52 - 38 * q^53 - 40 * q^54 + 6 * q^55 + 16 * q^56 + 90 * q^57 + 16 * q^58 + 8 * q^59 - 52 * q^60 + 4 * q^61 - 22 * q^62 - 48 * q^63 + 20 * q^64 - 20 * q^65 + 80 * q^66 - 56 * q^67 - 20 * q^68 - 8 * q^69 + 62 * q^70 + 4 * q^71 + 32 * q^72 + 60 * q^73 + 44 * q^74 + 64 * q^75 + 72 * q^76 + 6 * q^77 - 24 * q^78 - 56 * q^79 - 76 * q^80 - 6 * q^81 - 8 * q^82 + 12 * q^83 + 20 * q^85 - 4 * q^86 - 32 * q^87 - 36 * q^88 + 22 * q^89 - 74 * q^90 + 44 * q^91 + 156 * q^92 - 30 * q^93 + 20 * q^94 + 28 * q^95 - 8 * q^96 + 16 * q^97 + 48 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/185\mathbb{Z}\right)^\times$.

$n$	$76$	$112$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.407096	−	0.235037i	0.287861	−	0.166196i	−0.349116	−	0.937080i	$-0.613518\pi$
$2$	0.407096	−	0.235037i	0.287861	−	0.166196i	0.636977	+	0.770883i	$0.280185\pi$
$3$	−0.838017	−	3.12752i	−0.483829	−	1.80568i	−0.585275	−	0.810835i	$-0.699014\pi$
$3$	−0.838017	−	3.12752i	−0.483829	−	1.80568i	0.101446	−	0.994841i	$-0.467653\pi$
$4$	−0.889515	+	1.54069i	−0.444757	+	0.770343i
$5$	−2.02380	+	0.950915i	−0.905070	+	0.425262i
$5$	−2.02380	+	0.950915i	−0.905070	+	0.425262i
$6$	−1.07624	−	1.07624i	−0.439372	−	0.439372i
$7$	−0.968227	−	3.61347i	−0.365955	−	1.36576i	−0.866121	−	0.499834i	$-0.833394\pi$
$7$	−0.968227	−	3.61347i	−0.365955	−	1.36576i	0.500166	−	0.865930i	$-0.333272\pi$
$8$			1.77643i			0.628061i
$9$	−6.48105	+	3.74183i	−2.16035	+	1.24728i
$10$	−0.600381	+	0.862782i	−0.189857	+	0.272836i
$11$		−	3.20848i		−	0.967394i	−0.875235	−	0.483697i	$-0.839294\pi$
$11$		−	3.20848i		−	0.967394i	0.875235	−	0.483697i	$-0.160706\pi$
$12$	5.56396	+	1.49086i	1.60618	+	0.430373i
$13$	0.708690	+	0.409162i	0.196555	+	0.113481i	0.595048	−	0.803690i	$-0.297133\pi$
$13$	0.708690	+	0.409162i	0.196555	+	0.113481i	−0.398492	+	0.917172i	$0.630467\pi$
$14$	−1.24346	−	1.24346i	−0.332329	−	0.332329i
$15$	4.66999	+	5.53259i	1.20579	+	1.42851i
$16$	−1.36150	−	2.35819i	−0.340376	−	0.589548i
$17$	−0.330184	−	0.571896i	−0.0800815	−	0.138705i	0.823203	−	0.567747i	$-0.192185\pi$
$17$	−0.330184	−	0.571896i	−0.0800815	−	0.138705i	−0.903285	+	0.429042i	$0.858851\pi$
$18$	−1.75894	+	3.04657i	−0.414586	+	0.718084i
$19$	0.437461	+	1.63263i	0.100360	+	0.374550i	0.997778	−	0.0666328i	$-0.0212256\pi$
$19$	0.437461	+	1.63263i	0.100360	+	0.374550i	−0.897417	+	0.441183i	$0.854559\pi$
$20$	0.335138	−	3.96389i	0.0749391	−	0.886353i
$21$	−10.4898	+	6.05630i	−2.28907	+	1.32159i
$22$	−0.754113	−	1.30616i	−0.160777	−	0.278475i
$23$		−	4.26497i		−	0.889308i	−0.895702	−	0.444654i	$-0.853327\pi$
$23$		−	4.26497i		−	0.889308i	0.895702	−	0.444654i	$-0.146673\pi$
$24$	5.55581	−	1.48867i	1.13408	−	0.303874i
$25$	3.19152	−	3.84892i	0.638304	−	0.769784i
$26$	0.384673			0.0754407
$27$	10.2654	+	10.2654i	1.97557	+	1.97557i
$28$	6.42847	+	1.72250i	1.21487	+	0.325523i
$29$	−0.937440	−	0.937440i	−0.174078	−	0.174078i	0.614690	−	0.788769i	$-0.289281\pi$
$29$	−0.937440	−	0.937440i	−0.174078	−	0.174078i	−0.788769	+	0.614690i	$0.789281\pi$
$30$	3.20150	+	1.15468i	0.584511	+	0.210814i
$31$	3.86165	−	3.86165i	0.693573	−	0.693573i	−0.269443	−	0.963016i	$-0.586840\pi$
$31$	3.86165	−	3.86165i	0.693573	−	0.693573i	0.963016	+	0.269443i	$0.0868396\pi$
$32$	−4.18539	−	2.41643i	−0.739879	−	0.427169i
$33$	−10.0346	+	2.68876i	−1.74680	+	0.468054i
$34$	−0.268834	−	0.155211i	−0.0461046	−	0.0266185i
$35$	5.39560	+	6.39224i	0.912023	+	1.08048i
$36$		−	13.3137i		−	2.21894i
$37$	2.61665	−	5.49119i	0.430175	−	0.902746i
$37$	2.61665	−	5.49119i	0.430175	−	0.902746i
$38$	0.561817	+	0.561817i	0.0911388	+	0.0911388i
$39$	0.685770	−	2.55933i	0.109811	−	0.409820i
$40$	−1.68923	−	3.59513i	−0.267091	−	0.568440i
$41$	2.21722	+	1.28011i	0.346271	+	0.199920i	0.663042	−	0.748583i	$-0.269265\pi$
$41$	2.21722	+	1.28011i	0.346271	+	0.199920i	−0.316771	+	0.948502i	$0.602599\pi$
$42$	−2.84691	+	4.93100i	−0.439288	+	0.760869i
$43$		−	9.49168i		−	1.44747i	−0.690079	−	0.723734i	$-0.742424\pi$
$43$		−	9.49168i		−	1.44747i	0.690079	−	0.723734i	$-0.257576\pi$
$44$	4.94326	+	2.85399i	0.745225	+	0.430256i
$45$	9.55816	−	13.7356i	1.42485	−	2.04759i
$46$	−1.00243	−	1.73625i	−0.147800	−	0.255997i
$47$	−6.02730	+	6.02730i	−0.879172	+	0.879172i	−0.993449	−	0.114277i	$-0.963545\pi$
$47$	−6.02730	+	6.02730i	−0.879172	+	0.879172i	0.114277	+	0.993449i	$0.463545\pi$
$48$	−6.23434	+	6.23434i	−0.899849	+	0.899849i
$49$	−6.05753	+	3.49732i	−0.865362	+	0.499617i
$50$	0.394617	−	2.31701i	0.0558072	−	0.327675i
$51$	−1.51192	+	1.51192i	−0.211711	+	0.211711i
$52$	−1.26078	+	0.727912i	−0.174839	+	0.100943i
$53$	−2.23181	+	8.32923i	−0.306563	+	1.14411i	0.625029	+	0.780602i	$0.285087\pi$
$53$	−2.23181	+	8.32923i	−0.306563	+	1.14411i	−0.931592	+	0.363506i	$0.881580\pi$
$54$	6.59175	+	1.76625i	0.897023	+	0.240357i
$55$	3.05100	+	6.49332i	0.411396	+	0.875560i
$56$	6.41906	−	1.71998i	0.857783	−	0.229842i
$57$	4.73948	−	2.73634i	0.627759	−	0.362437i
$58$	−0.601962	−	0.161295i	−0.0790415	−	0.0211791i
$59$	−2.51108	−	0.672842i	−0.326915	−	0.0875966i	0.0916288	−	0.995793i	$-0.470793\pi$
$59$	−2.51108	−	0.672842i	−0.326915	−	0.0875966i	−0.418544	+	0.908197i	$0.637459\pi$
$60$	−12.6780	+	2.27366i	−1.63672	+	0.293528i
$61$	4.00095	+	14.9318i	0.512269	+	1.91182i	0.394891	+	0.918728i	$0.370782\pi$
$61$	4.00095	+	14.9318i	0.512269	+	1.91182i	0.117378	+	0.993087i	$0.462551\pi$
$62$	0.664433	−	2.47970i	0.0843831	−	0.314922i
$63$	19.7961	+	19.7961i	2.49408	+	2.49408i
$64$	3.17421			0.396776
$65$	−1.82332	−	0.154158i	−0.226155	−	0.0191209i
$66$	−3.45309	+	3.45309i	−0.425046	+	0.425046i
$67$	−5.70346	+	1.52824i	−0.696789	+	0.186704i	−0.589792	−	0.807555i	$-0.700790\pi$
$67$	−5.70346	+	1.52824i	−0.696789	+	0.186704i	−0.106997	+	0.994259i	$0.534123\pi$
$68$	1.17482			0.142467
$69$	−13.3388	+	3.57412i	−1.60580	+	0.430273i
$70$	3.69894	+	1.33409i	0.442108	+	0.159454i
$71$	−3.81787	+	6.61274i	−0.453098	+	0.784788i	−0.998577	−	0.0533363i	$-0.983014\pi$
$71$	−3.81787	+	6.61274i	−0.453098	+	0.784788i	0.545479	+	0.838125i	$0.316348\pi$
$72$	−6.64709	−	11.5131i	−0.783367	−	1.35683i
$73$	7.41925	−	7.41925i	0.868357	−	0.868357i	−0.123933	−	0.992291i	$-0.539551\pi$
$73$	7.41925	−	7.41925i	0.868357	−	0.868357i	0.992291	+	0.123933i	$0.0395509\pi$
$74$	−0.225403	−	2.85045i	−0.0262026	−	0.331358i
$75$	−14.7121	−	6.75609i	−1.69881	−	0.780126i
$76$	−2.90449	−	0.778256i	−0.333168	−	0.0892721i
$77$	−11.5938	+	3.10654i	−1.32123	+	0.354023i
$78$	−0.322363	−	1.20307i	−0.0365004	−	0.136221i
$79$	−3.47315	−	12.9620i	−0.390760	−	1.45833i	−0.828884	−	0.559421i	$-0.811024\pi$
$79$	−3.47315	−	12.9620i	−0.390760	−	1.45833i	0.438124	−	0.898914i	$-0.355643\pi$
$80$	4.99785	+	3.47783i	0.558777	+	0.388834i
$81$	12.2771	−	21.2646i	1.36413	−	2.36274i
$82$	1.20349			0.132904
$83$	−2.60362	+	9.71686i	−0.285785	+	1.06656i	0.662479	+	0.749081i	$0.269504\pi$
$83$	−2.60362	+	9.71686i	−0.285785	+	1.06656i	−0.948264	+	0.317483i	$0.897162\pi$
$84$		−	21.5487i		−	2.35115i
$85$	1.21205	+	0.843425i	0.131465	+	0.0914823i
$86$	−2.23090	−	3.86403i	−0.240564	−	0.416669i
$87$	−2.14627	+	3.71746i	−0.230105	+	0.398553i
$88$	5.69963			0.607583
$89$	1.41656	−	5.28666i	0.150155	−	0.560384i	−0.849317	−	0.527883i	$-0.822986\pi$
$89$	1.41656	−	5.28666i	0.150155	−	0.560384i	0.999472	−	0.0325015i	$-0.0103474\pi$
$90$	0.662707	−	7.83826i	0.0698554	−	0.826225i
$91$	0.792323	−	2.95699i	0.0830581	−	0.309977i
$92$	6.57098	+	3.79376i	0.685072	+	0.395526i
$93$	−15.3135	−	8.84127i	−1.58794	−	0.916797i
$94$	−1.03705	+	3.87033i	−0.106964	+	0.399194i
$95$	−2.43782	−	2.88812i	−0.250115	−	0.296315i
$96$	−4.05003	+	15.1149i	−0.413354	+	1.54266i
$97$	3.89183			0.395156			0.197578	−	0.980287i	$-0.436692\pi$
$97$	3.89183			0.395156			0.197578	+	0.980287i	$0.436692\pi$
$98$	−1.64400	+	2.84749i	−0.166069	+	0.287640i
$99$	12.0056	+	20.7943i	1.20661	+	2.08991i
$100$	3.09107	+	8.34080i	0.309107	+	0.834080i
$101$		−	8.21578i		−	0.817501i	−0.912646	−	0.408750i	$-0.865965\pi$
$101$		−	8.21578i		−	0.817501i	0.912646	−	0.408750i	$-0.134035\pi$
$102$	−0.260139	+	0.970853i	−0.0257576	+	0.0961288i
$103$	9.85703			0.971242			0.485621	−	0.874170i	$-0.338594\pi$
$103$	9.85703			0.971242			0.485621	+	0.874170i	$0.338594\pi$
$104$	−0.726846	+	1.25893i	−0.0712731	+	0.123449i
$105$	15.4703	−	22.2317i	1.50974	−	2.16959i
$106$	1.04912	+	3.91536i	0.101899	+	0.380293i
$107$	−1.47191	−	5.49325i	−0.142295	−	0.531052i	−0.999861	−	0.0166782i	$-0.994691\pi$
$107$	−1.47191	−	5.49325i	−0.142295	−	0.531052i	0.857566	−	0.514374i	$-0.171976\pi$
$108$	−24.9469	+	6.68451i	−2.40052	+	0.643217i
$109$	2.88885	+	0.774066i	0.276702	+	0.0741421i	0.394501	−	0.918895i	$-0.370917\pi$
$109$	2.88885	+	0.774066i	0.276702	+	0.0741421i	−0.117799	+	0.993037i	$0.537584\pi$
$110$	2.76822	+	1.92631i	0.263940	+	0.183667i
$111$	−19.3666	−	3.58193i	−1.83820	−	0.339982i
$112$	−7.20302	+	7.20302i	−0.680621	+	0.680621i
$113$	−6.11419	−	10.5901i	−0.575175	−	0.996232i	−0.996023	−	0.0891010i	$-0.971601\pi$
$113$	−6.11419	−	10.5901i	−0.575175	−	0.996232i	0.420848	−	0.907131i	$-0.361733\pi$
$114$	1.28628	−	2.22791i	0.120471	−	0.208663i
$115$	4.05563	+	8.63144i	0.378189	+	0.804886i
$116$	2.27817	−	0.610433i	0.211523	−	0.0566773i
$117$	−6.12407			−0.566170
$118$	−1.18040	+	0.316286i	−0.108664	+	0.0291165i
$119$	−1.74684	+	1.74684i	−0.160132	+	0.160132i
$120$	−9.82824	+	8.29588i	−0.897191	+	0.757307i
$121$	0.705632			0.0641484
$122$	5.13829	+	5.13829i	0.465199	+	0.465199i
$123$	2.14551	−	8.00715i	0.193454	−	0.721980i
$124$	2.51459	+	9.38459i	0.225817	+	0.842761i
$125$	−2.79899	+	10.8243i	−0.250350	+	0.968155i
$126$	12.7118	+	3.40611i	1.13245	+	0.303440i
$127$	5.72873	+	1.53501i	0.508343	+	0.136210i	0.503869	−	0.863780i	$-0.331909\pi$
$127$	5.72873	+	1.53501i	0.508343	+	0.136210i	0.00447367	+	0.999990i	$0.498576\pi$
$128$	9.66298	−	5.57892i	0.854095	−	0.493112i
$129$	−29.6854	+	7.95419i	−2.61366	+	0.700327i
$130$	−0.778502	+	0.365792i	−0.0682791	+	0.0320821i
$131$	−4.46057	−	1.19521i	−0.389722	−	0.104426i	0.0586369	−	0.998279i	$-0.481325\pi$
$131$	−4.46057	−	1.19521i	−0.389722	−	0.104426i	−0.448359	+	0.893854i	$0.647991\pi$
$132$	4.78339	−	17.8519i	0.416341	−	1.55380i
$133$	5.47589	−	3.16151i	0.474820	−	0.274137i
$134$	−1.96267	+	1.96267i	−0.169549	+	0.169549i
$135$	−30.5366	−	11.0136i	−2.62817	−	0.947895i
$136$	1.01593	−	0.586548i	0.0871153	−	0.0502961i
$137$	14.7670	−	14.7670i	1.26163	−	1.26163i	0.311330	−	0.950302i	$-0.399226\pi$
$137$	14.7670	−	14.7670i	1.26163	−	1.26163i	0.950302	−	0.311330i	$-0.100774\pi$
$138$	−4.59012	+	4.59012i	−0.390737	+	0.390737i
$139$	−3.08370	−	5.34113i	−0.261556	−	0.453029i	0.705099	−	0.709108i	$-0.250902\pi$
$139$	−3.08370	−	5.34113i	−0.261556	−	0.453029i	−0.966656	+	0.256080i	$0.917569\pi$
$140$	−14.6479	+	2.62693i	−1.23797	+	0.222016i
$141$	23.9015	+	13.7995i	2.01287	+	1.16213i
$142$			3.58937i			0.301213i
$143$	1.31279	−	2.27382i	0.109781	−	0.190146i
$144$	17.6479	+	10.1890i	1.47066	+	0.849087i
$145$	2.78862	+	1.00576i	0.231582	+	0.0835241i
$146$	1.27655	−	4.76415i	0.105648	−	0.394284i
$147$	16.0143	+	16.0143i	1.32083	+	1.32083i
$148$	6.13264	+	8.91593i	0.504100	+	0.732885i
$149$			8.55558i			0.700901i	0.936581	+	0.350450i	$0.113971\pi$
$149$			8.55558i			0.700901i	−0.936581	+	0.350450i	$0.886029\pi$
$150$	−7.57719	+	0.707521i	−0.618675	+	0.0577688i
$151$	−4.80290	−	2.77296i	−0.390855	−	0.225660i	0.291676	−	0.956517i	$-0.405787\pi$
$151$	−4.80290	−	2.77296i	−0.390855	−	0.225660i	−0.682530	+	0.730857i	$0.739121\pi$
$152$	−2.90024	+	0.777117i	−0.235241	+	0.0630325i
$153$	4.27988	+	2.47099i	0.346008	+	0.199768i
$154$	−3.98963	+	3.98963i	−0.321493	+	0.321493i
$155$	−4.14310	+	11.4873i	−0.332782	+	0.922683i
$156$	3.33312	+	3.33312i	0.266863	+	0.266863i
$157$	3.81811	+	1.02306i	0.304718	+	0.0816490i	0.407938	−	0.913010i	$-0.366248\pi$
$157$	3.81811	+	1.02306i	0.304718	+	0.0816490i	−0.103220	+	0.994659i	$0.532915\pi$
$158$	−4.46045	−	4.46045i	−0.354854	−	0.354854i
$159$	27.9202			2.21421
$160$	10.7682	+	0.910427i	0.851301	+	0.0719756i
$161$	−15.4113	+	4.12946i	−1.21458	+	0.325447i
$162$		−	11.5423i		−	0.906852i
$163$	−1.58417	−	2.74387i	−0.124082	−	0.214916i	0.797292	−	0.603594i	$-0.206265\pi$
$163$	−1.58417	−	2.74387i	−0.124082	−	0.214916i	−0.921374	+	0.388678i	$0.872932\pi$
$164$	−3.94449	+	2.27735i	−0.308013	+	0.177831i
$165$	17.7512	−	14.9836i	1.38193	−	1.16647i
$166$	1.22390	+	4.56765i	0.0949929	+	0.354518i
$167$	5.81913	−	10.0790i	0.450298	−	0.779938i	−0.548107	−	0.836408i	$-0.684651\pi$
$167$	5.81913	−	10.0790i	0.450298	−	0.779938i	0.998404	+	0.0564700i	$0.0179845\pi$
$168$	−10.7586	−	18.6344i	−0.830041	−	1.43767i
$169$	−6.16517	−	10.6784i	−0.474244	−	0.821415i
$170$	0.691658	+	0.0584781i	0.0530478	+	0.00448507i
$171$	−8.94422	−	8.94422i	−0.683982	−	0.683982i
$172$	14.6237	+	8.44299i	1.11505	+	0.643772i
$173$	−15.9680	−	4.27862i	−1.21403	−	0.325298i	−0.405687	−	0.914012i	$-0.632968\pi$
$173$	−15.9680	−	4.27862i	−1.21403	−	0.325298i	−0.808341	+	0.588714i	$0.799634\pi$
$174$			2.01782i			0.152970i
$175$	−16.9981	−	7.80584i	−1.28493	−	0.590066i
$176$	−7.56623	+	4.36836i	−0.570326	+	0.329278i
$177$			8.41731i			0.632684i
$178$	−0.665886	−	2.48512i	−0.0499103	−	0.186268i
$179$	5.26547	+	5.26547i	0.393560	+	0.393560i	0.875954	−	0.482394i	$-0.160233\pi$
$179$	5.26547	+	5.26547i	0.393560	+	0.393560i	−0.482394	+	0.875954i	$0.660233\pi$
$180$	12.6602	+	26.9442i	0.943633	+	2.00830i
$181$	0.284700	−	0.493115i	0.0211616	−	0.0366530i	−0.855251	−	0.518215i	$-0.826597\pi$
$181$	0.284700	−	0.493115i	0.0211616	−	0.0366530i	0.876412	+	0.481562i	$0.159930\pi$
$182$	−0.372451	−	1.39001i	−0.0276079	−	0.103034i
$183$	43.3465	−	25.0261i	3.20427	−	1.84998i
$184$	7.57640			0.558540
$185$	−0.0739234	+	13.6013i	−0.00543496	+	0.999985i
$186$	−8.31211			−0.609474
$187$	−1.83492	+	1.05939i	−0.134183	+	0.0774703i
$188$	−3.92480	−	14.6475i	−0.286245	−	1.06828i
$189$	27.1544	−	47.0329i	1.97519	−	3.42114i
$190$	−1.67124	−	0.602764i	−0.121245	−	0.0437291i
$191$	14.2644	+	14.2644i	1.03214	+	1.03214i	0.999466	+	0.0326698i	$0.0104010\pi$
$191$	14.2644	+	14.2644i	1.03214	+	1.03214i	0.0326698	+	0.999466i	$0.489599\pi$
$192$	−2.66004	−	9.92740i	−0.191972	−	0.716449i
$193$		−	1.35390i		−	0.0974558i	−0.998812	−	0.0487279i	$-0.984483\pi$
$193$		−	1.35390i		−	0.0974558i	0.998812	−	0.0487279i	$-0.0155167\pi$
$194$	1.58435	−	0.914726i	0.113750	−	0.0656735i
$195$	1.04584	+	5.83167i	0.0748944	+	0.417615i
$196$		−	12.4437i		−	0.888833i
$197$	−11.5756	−	3.10168i	−0.824730	−	0.220986i	−0.178317	−	0.983973i	$-0.557065\pi$
$197$	−11.5756	−	3.10168i	−0.824730	−	0.220986i	−0.646413	+	0.762987i	$0.723732\pi$
$198$	9.77488	+	5.64353i	0.694671	+	0.401068i
$199$	−3.38484	−	3.38484i	−0.239945	−	0.239945i	0.576882	−	0.816827i	$-0.304269\pi$
$199$	−3.38484	−	3.38484i	−0.239945	−	0.239945i	−0.816827	+	0.576882i	$0.804269\pi$
$200$	6.83732	+	5.66950i	0.483472	+	0.400894i
$201$	9.55919	+	16.5570i	0.674254	+	1.16784i
$202$	−1.93101	−	3.34461i	−0.135866	−	0.235326i
$203$	−2.47976	+	4.29507i	−0.174045	+	0.301455i
$204$	−0.984515	−	3.67426i	−0.0689299	−	0.257250i
$205$	−5.70447	−	0.482300i	−0.398418	−	0.0336853i
$206$	4.01276	−	2.31677i	0.279582	−	0.161417i
$207$	15.9588	+	27.6415i	1.10921	+	1.92121i
$208$		−	2.22830i		−	0.154505i
$209$	5.23826	−	1.40359i	0.362338	−	0.0970881i
$210$	1.07262	−	12.6865i	0.0740176	−	0.875453i
$211$	−12.6848			−0.873259			−0.436630	−	0.899641i	$-0.643828\pi$
$211$	−12.6848			−0.873259			−0.436630	+	0.899641i	$0.643828\pi$
$212$	−10.8475	−	10.8475i	−0.745009	−	0.745009i
$213$	23.8809	+	6.39888i	1.63630	+	0.438444i
$214$	−1.89033	−	1.89033i	−0.129220	−	0.129220i
$215$	9.02578	+	19.2092i	0.615553	+	1.31006i
$216$	−18.2357	+	18.2357i	−1.24078	+	1.24078i
$217$	−17.6929	−	10.2150i	−1.20107	−	0.693440i
$218$	1.35798	−	0.363869i	0.0919738	−	0.0246443i
$219$	−29.4213	−	16.9864i	−1.98811	−	1.14783i
$220$	−12.7181	−	1.07528i	−0.857452	−	0.0724957i
$221$		−	0.540396i		−	0.0363510i
$222$	−8.72596	+	3.09368i	−0.585648	+	0.207634i
$223$	−0.672002	−	0.672002i	−0.0450006	−	0.0450006i	0.684248	−	0.729249i	$-0.260130\pi$
$223$	−0.672002	−	0.672002i	−0.0450006	−	0.0450006i	−0.729249	+	0.684248i	$0.760130\pi$
$224$	−4.67931	+	17.4634i	−0.312650	+	1.16682i
$225$	−6.28236	+	36.8872i	−0.418824	+	2.45914i
$226$	−4.97813	−	2.87413i	−0.331141	−	0.191184i
$227$	9.15031	−	15.8488i	0.607327	−	1.05192i	−0.384352	−	0.923187i	$-0.625575\pi$
$227$	9.15031	−	15.8488i	0.607327	−	1.05192i	0.991679	−	0.128735i	$-0.0410916\pi$
$228$			9.73606i			0.644786i
$229$	17.3590	+	10.0222i	1.14711	+	0.662286i	0.948182	−	0.317728i	$-0.102920\pi$
$229$	17.3590	+	10.0222i	1.14711	+	0.662286i	0.198931	+	0.980014i	$0.436253\pi$
$230$	3.67974	+	2.56061i	0.242635	+	0.168841i
$231$	19.4315	+	33.6564i	1.27850	+	2.21443i
$232$	1.66529	−	1.66529i	0.109332	−	0.109332i
$233$	−5.20656	+	5.20656i	−0.341093	+	0.341093i	−0.856778	−	0.515685i	$-0.827537\pi$
$233$	−5.20656	+	5.20656i	−0.341093	+	0.341093i	0.515685	+	0.856778i	$0.327537\pi$
$234$	−2.49309	+	1.43938i	−0.162978	+	0.0940955i
$235$	6.46659	−	17.9295i	0.421834	−	1.16959i
$236$	3.27028	−	3.27028i	0.212877	−	0.212877i
$237$	−37.6283	+	21.7247i	−2.44422	+	1.41117i
$238$	−0.300559	+	1.12170i	−0.0194824	+	0.0727092i
$239$	5.81045	+	1.55691i	0.375847	+	0.100708i	0.441797	−	0.897115i	$-0.354341\pi$
$239$	5.81045	+	1.55691i	0.375847	+	0.100708i	−0.0659501	+	0.997823i	$0.521008\pi$
$240$	6.68872	−	18.5454i	0.431755	−	1.19710i
$241$	19.5065	−	5.22675i	1.25652	−	0.336685i	0.431671	−	0.902031i	$-0.357924\pi$
$241$	19.5065	−	5.22675i	1.25652	−	0.336685i	0.824853	+	0.565347i	$0.191258\pi$
$242$	0.287260	−	0.165850i	0.0184658	−	0.0106612i
$243$	−34.7257	−	9.30473i	−2.22766	−	0.596899i
$244$	−26.5640	−	7.11781i	−1.70059	−	0.455671i
$245$	8.93357	−	12.8381i	0.570745	−	0.820194i
$246$	−1.00855	−	3.76396i	−0.0643027	−	0.239981i
$247$	−0.357985	+	1.33602i	−0.0227780	+	0.0850088i
$248$	6.85994	+	6.85994i	0.435607	+	0.435607i
$249$	32.5716			2.06414
$250$	1.40465	+	5.06441i	0.0888382	+	0.320301i
$251$	9.42701	−	9.42701i	0.595027	−	0.595027i	−0.343958	−	0.938985i	$-0.611768\pi$
$251$	9.42701	−	9.42701i	0.595027	−	0.595027i	0.938985	+	0.343958i	$0.111768\pi$
$252$	−48.1085	+	12.8906i	−3.03055	+	0.812034i
$253$	−13.6841			−0.860311
$254$	2.69293	−	0.721569i	0.168970	−	0.0452753i
$255$	1.62211	−	4.49752i	0.101581	−	0.281646i
$256$	−0.551697	+	0.955567i	−0.0344810	+	0.0597229i
$257$	3.28666	+	5.69267i	0.205016	+	0.355099i	0.950138	−	0.311830i	$-0.100942\pi$
$257$	3.28666	+	5.69267i	0.205016	+	0.355099i	−0.745122	+	0.666929i	$0.767609\pi$
$258$	−10.2153	+	10.2153i	−0.635977	+	0.635977i
$259$	−22.3758	−	4.13848i	−1.39036	−	0.257153i
$260$	1.85938	−	2.67204i	0.115314	−	0.165713i
$261$	9.58334	+	2.56785i	0.593194	+	0.158946i
$262$	−2.09680	+	0.561836i	−0.129541	+	0.0347103i
$263$	2.24959	+	8.39557i	0.138715	+	0.517693i	0.999955	+	0.00949366i	$0.00302197\pi$
$263$	2.24959	+	8.39557i	0.138715	+	0.517693i	−0.861240	+	0.508199i	$0.830311\pi$
$264$	−4.77639	−	17.8257i	−0.293966	−	1.09710i
$265$	−3.40366	−	18.9789i	−0.209085	−	1.16587i
$266$	1.48614	−	2.57408i	0.0911213	−	0.157827i
$267$	−17.7212			−1.08452
$268$	2.71878	−	10.1466i	0.166076	−	0.619804i
$269$			21.1394i			1.28889i	0.764649	+	0.644446i	$0.222912\pi$
$269$			21.1394i			1.28889i	−0.764649	+	0.644446i	$0.777088\pi$
$270$	−15.0199	+	2.69365i	−0.914083	+	0.163930i
$271$	8.53968	+	14.7912i	0.518749	+	0.898499i	0.999763	+	0.0217861i	$0.00693528\pi$
$271$	8.53968	+	14.7912i	0.518749	+	0.898499i	−0.481014	+	0.876713i	$0.659731\pi$
$272$	−0.899094	+	1.55728i	−0.0545156	+	0.0944238i
$273$	−9.91204			−0.599904
$274$	2.54080	−	9.48240i	0.153495	−	0.572853i
$275$	−12.3492	−	10.2399i	−0.744685	−	0.617492i
$276$	6.35846	−	23.7301i	0.382734	−	1.42838i
$277$	1.27064	+	0.733602i	0.0763451	+	0.0440779i	0.537687	−	0.843145i	$-0.319298\pi$
$277$	1.27064	+	0.733602i	0.0763451	+	0.0440779i	−0.461342	+	0.887223i	$0.652632\pi$
$278$	−2.51073	−	1.44957i	−0.150583	−	0.0869394i
$279$	−10.5779	+	39.4772i	−0.633281	+	2.36344i
$280$	−11.3553	+	9.58488i	−0.678611	+	0.572806i
$281$	5.53740	−	20.6659i	0.330334	−	1.23282i	−0.578506	−	0.815678i	$-0.696364\pi$
$281$	5.53740	−	20.6659i	0.330334	−	1.23282i	0.908840	−	0.417145i	$-0.136969\pi$
$282$	12.9736			0.772567
$283$	−0.871358	+	1.50924i	−0.0517968	+	0.0897147i	−0.890761	−	0.454471i	$-0.849828\pi$
$283$	−0.871358	+	1.50924i	−0.0517968	+	0.0897147i	0.838964	+	0.544186i	$0.183161\pi$
$284$	−6.79210	−	11.7643i	−0.403037	−	0.698081i
$285$	−6.98972	+	10.0446i	−0.414035	+	0.594993i
$286$		−	1.23422i		−	0.0729809i
$287$	2.47887	−	9.25128i	0.146323	−	0.546086i
$288$	36.1676			2.13119
$289$	8.28196	−	14.3448i	0.487174	−	0.843810i
$290$	1.37163	−	0.245986i	0.0805448	−	0.0144448i
$291$	−3.26142	−	12.1718i	−0.191188	−	0.713524i
$292$	4.83119	+	18.0303i	0.282724	+	1.05514i
$293$	13.2676	−	3.55505i	0.775103	−	0.207688i	0.150479	−	0.988613i	$-0.451919\pi$
$293$	13.2676	−	3.55505i	0.775103	−	0.207688i	0.624625	+	0.780925i	$0.285252\pi$
$294$	10.2833	+	2.75540i	0.599734	+	0.160698i
$295$	5.72174	−	1.02613i	0.333132	−	0.0597435i
$296$	9.75468	+	4.64829i	0.566980	+	0.270176i
$297$	32.9363	−	32.9363i	1.91116	−	1.91116i
$298$	2.01088	+	3.48295i	0.116487	+	0.201762i
$299$	1.74506	−	3.02254i	0.100920	−	0.174798i
$300$	23.4957	−	16.6571i	1.35652	−	0.961700i
$301$	−34.2979	+	9.19010i	−1.97690	+	0.529708i
$302$	−2.60699			−0.150016
$303$	−25.6950	+	6.88496i	−1.47614	+	0.395531i
$304$	3.25445	−	3.25445i	0.186655	−	0.186655i
$305$	−22.2960	−	26.4143i	−1.27666	−	1.51248i
$306$	2.32310			0.132803
$307$	−8.55987	−	8.55987i	−0.488537	−	0.488537i	0.419307	−	0.907844i	$-0.362273\pi$
$307$	−8.55987	−	8.55987i	−0.488537	−	0.488537i	−0.907844	+	0.419307i	$0.862273\pi$
$308$	5.52663	−	20.6257i	0.314909	−	1.17526i
$309$	−8.26036	−	30.8281i	−0.469915	−	1.75375i
$310$	1.01330	+	5.65023i	0.0575518	+	0.320911i
$311$	−3.88096	−	1.03990i	−0.220069	−	0.0589673i	0.147100	−	0.989122i	$-0.453006\pi$
$311$	−3.88096	−	1.03990i	−0.220069	−	0.0589673i	−0.367169	+	0.930154i	$0.619673\pi$
$312$	4.54646	+	1.21822i	0.257392	+	0.0689681i
$313$	−10.4759	+	6.04829i	−0.592135	+	0.341869i	−0.765941	−	0.642910i	$-0.777727\pi$
$313$	−10.4759	+	6.04829i	−0.592135	+	0.341869i	0.173806	+	0.984780i	$0.444393\pi$
$314$	1.79479	−	0.480914i	0.101286	−	0.0271395i
$315$	−58.8878	−	21.2389i	−3.31795	−	1.19668i
$316$	23.0597	+	6.17883i	1.29721	+	0.347587i
$317$	1.95219	−	7.28567i	0.109646	−	0.409204i	−0.889185	−	0.457548i	$-0.848728\pi$
$317$	1.95219	−	7.28567i	0.109646	−	0.409204i	0.998831	+	0.0483441i	$0.0153944\pi$
$318$	11.3662	−	6.56228i	0.637385	−	0.367994i
$319$	−3.00776	+	3.00776i	−0.168402	+	0.168402i
$320$	−6.42396	+	3.01840i	−0.359110	+	0.168734i
$321$	−15.9468	+	9.20687i	−0.890062	+	0.513877i
$322$	−5.30333	+	5.30333i	−0.295543	+	0.295543i
$323$	0.789250	−	0.789250i	0.0439150	−	0.0439150i
$324$	21.8414	+	37.8304i	1.21341	+	2.10169i
$325$	3.83663	−	1.42184i	0.212818	−	0.0788696i
$326$	−1.28982	−	0.744679i	−0.0714366	−	0.0412439i
$327$		−	9.68363i		−	0.535506i
$328$	−2.27402	+	3.93872i	−0.125562	+	0.217479i
$329$	27.6153	+	15.9437i	1.52248	+	0.879003i
$330$	3.70476	−	10.2720i	0.203941	−	0.565453i
$331$	−7.39077	+	27.5827i	−0.406233	+	1.51608i	0.395536	+	0.918450i	$0.370559\pi$
$331$	−7.39077	+	27.5827i	−0.406233	+	1.51608i	−0.801770	+	0.597633i	$0.796108\pi$
$332$	−12.6547	−	12.6547i	−0.694515	−	0.694515i
$333$	3.58846	+	45.3797i	0.196647	+	2.48679i
$334$		−	5.47085i		−	0.299351i
$335$	10.0894	−	8.51635i	0.551244	−	0.465298i
$336$	28.5639	+	16.4914i	1.55829	+	0.899677i
$337$	−9.26161	+	2.48164i	−0.504512	+	0.135184i	−0.502093	−	0.864814i	$-0.667437\pi$
$337$	−9.26161	+	2.48164i	−0.504512	+	0.135184i	−0.00241865	+	0.999997i	$0.500770\pi$
$338$	−5.01964	−	2.89809i	−0.273032	−	0.157635i
$339$	−27.9970	+	27.9970i	−1.52059	+	1.52059i
$340$	−2.37759	+	1.11715i	−0.128943	+	0.0605860i
$341$	−12.3900	−	12.3900i	−0.670959	−	0.670959i
$342$	−5.74339	−	1.53894i	−0.310567	−	0.0832161i
$343$	−0.0141923	−	0.0141923i	−0.000766313	−	0.000766313i
$344$	16.8613			0.909098
$345$	23.5963	−	19.9174i	1.27038	−	1.07231i
$346$	−7.50617	+	2.01127i	−0.403534	+	0.108127i
$347$		−	6.10273i		−	0.327612i	−0.986493	−	0.163806i	$-0.947623\pi$
$347$		−	6.10273i		−	0.327612i	0.986493	−	0.163806i	$-0.0523770\pi$
$348$	−3.81829	−	6.61347i	−0.204682	−	0.354519i
$349$	−19.0538	+	11.0007i	−1.01993	+	0.588854i	−0.914082	−	0.405529i	$-0.867087\pi$
$349$	−19.0538	+	11.0007i	−1.01993	+	0.588854i	−0.105843	+	0.994383i	$0.533754\pi$
$350$	−8.75452	+	0.817454i	−0.467949	+	0.0436948i
$351$	3.07476	+	11.4752i	0.164119	+	0.612499i
$352$	−7.75309	+	13.4287i	−0.413241	+	0.715754i
$353$	−4.60772	−	7.98081i	−0.245244	−	0.424776i	0.716956	−	0.697118i	$-0.245535\pi$
$353$	−4.60772	−	7.98081i	−0.245244	−	0.424776i	−0.962200	+	0.272343i	$0.912201\pi$
$354$	1.97838	+	3.42666i	0.105150	+	0.182125i
$355$	1.43844	−	17.0133i	0.0763444	−	0.902974i
$356$	6.88502	+	6.88502i	0.364906	+	0.364906i
$357$	6.92715	+	3.99939i	0.366624	+	0.211670i
$358$	3.38114	+	0.905973i	0.178699	+	0.0478822i
$359$		−	10.0393i		−	0.529854i	−0.964268	−	0.264927i	$-0.914652\pi$
$359$		−	10.0393i		−	0.529854i	0.964268	−	0.264927i	$-0.0853479\pi$
$360$	24.4003	+	16.9794i	1.28601	+	0.894891i
$361$	13.9804	−	8.07158i	0.735810	−	0.424820i
$362$		−	0.267661i		−	0.0140679i
$363$	−0.591332	−	2.20688i	−0.0310369	−	0.115831i
$364$	3.85101	+	3.85101i	0.201848	+	0.201848i
$365$	−7.95998	+	22.0701i	−0.416645	+	1.15520i
$366$	11.7641	−	20.3761i	0.614922	−	1.06508i
$367$	7.58466	+	28.3064i	0.395916	+	1.47758i	0.820214	+	0.572057i	$0.193854\pi$
$367$	7.58466	+	28.3064i	0.395916	+	1.47758i	−0.424298	+	0.905523i	$0.639479\pi$
$368$	−10.0576	+	5.80677i	−0.524290	+	0.302699i
$369$	−19.1598			−0.997421
$370$	3.16671	+	5.55440i	0.164629	+	0.288760i
$371$	32.2583			1.67477
$372$	27.2432	−	15.7289i	1.41250	−	0.815505i
$373$	7.70462	+	28.7540i	0.398930	+	1.48883i	0.814982	+	0.579486i	$0.196747\pi$
$373$	7.70462	+	28.7540i	0.398930	+	1.48883i	−0.416052	+	0.909341i	$0.636587\pi$
$374$	−0.497993	+	0.862549i	−0.0257506	+	0.0446013i
$375$	36.1989	−	0.317036i	1.86930	−	0.0163717i
$376$	−10.7070	−	10.7070i	−0.552174	−	0.552174i
$377$	−0.280789	−	1.04792i	−0.0144614	−	0.0539706i
$378$		−	25.5292i		−	1.31308i
$379$	−4.67357	+	2.69829i	−0.240065	+	0.138602i	−0.615207	−	0.788366i	$-0.710927\pi$
$379$	−4.67357	+	2.69829i	−0.240065	+	0.138602i	0.375142	+	0.926968i	$0.377594\pi$
$380$	6.61816	−	1.18689i	0.339505	−	0.0608863i
$381$		−	19.2031i		−	0.983805i
$382$	9.15965	+	2.45432i	0.468649	+	0.125574i
$383$	29.8223	+	17.2179i	1.52385	+	0.879793i	0.999602	+	0.0282253i	$0.00898557\pi$
$383$	29.8223	+	17.2179i	1.52385	+	0.879793i	0.524245	+	0.851568i	$0.324348\pi$
$384$	−25.5460	−	25.5460i	−1.30364	−	1.30364i
$385$	20.5094	−	17.3117i	1.04525	−	0.882286i
$386$	−0.318217	−	0.551168i	−0.0161968	−	0.0280537i
$387$	35.5163	+	61.5160i	1.80539	+	3.12703i
$388$	−3.46185	+	5.99609i	−0.175749	+	0.304405i
$389$	−3.37754	−	12.6052i	−0.171248	−	0.639107i	−0.997160	−	0.0753082i	$-0.976006\pi$
$389$	−3.37754	−	12.6052i	−0.171248	−	0.639107i	0.825912	−	0.563799i	$-0.190661\pi$
$390$	1.79642	+	2.12824i	0.0909652	+	0.107768i
$391$	−2.43912	+	1.40823i	−0.123352	+	0.0712171i
$392$	−6.21272	−	10.7608i	−0.313790	−	0.543500i
$393$			14.9521i			0.754235i
$394$	−5.44141	+	1.45802i	−0.274134	+	0.0734541i
$395$	19.3547	+	22.9297i	0.973840	+	1.15372i
$396$	−42.7167			−2.14659
$397$	2.10417	+	2.10417i	0.105605	+	0.105605i	0.757935	−	0.652330i	$-0.226208\pi$
$397$	2.10417	+	2.10417i	0.105605	+	0.105605i	−0.652330	+	0.757935i	$0.726208\pi$
$398$	−2.17352	−	0.582393i	−0.108949	−	0.0291927i
$399$	−14.4766	−	14.4766i	−0.724735	−	0.724735i
$400$	−13.4218	−	2.28590i	−0.671088	−	0.114295i
$401$	−23.8517	+	23.8517i	−1.19110	+	1.19110i	−0.214337	+	0.976760i	$0.568759\pi$
$401$	−23.8517	+	23.8517i	−1.19110	+	1.19110i	−0.976760	+	0.214337i	$0.931241\pi$
$402$	7.78303	+	4.49353i	0.388182	+	0.224117i
$403$	4.31676	−	1.15667i	0.215033	−	0.0576179i
$404$	12.6579	+	7.30806i	0.629756	+	0.363590i
$405$	−4.62559	+	54.7098i	−0.229847	+	2.71855i
$406$			2.33134i			0.115703i
$407$	−17.6184	−	8.39549i	−0.873311	−	0.416149i
$408$	−2.68581	−	2.68581i	−0.132967	−	0.132967i
$409$	1.94474	−	7.25786i	0.0961611	−	0.358878i	−0.901032	−	0.433753i	$-0.857189\pi$
$409$	1.94474	−	7.25786i	0.0961611	−	0.358878i	0.997193	+	0.0748749i	$0.0238558\pi$
$410$	−2.43563	+	1.14442i	−0.120287	+	0.0565189i
$411$	−58.5592	−	33.8092i	−2.88851	−	1.66768i
$412$	−8.76797	+	15.1866i	−0.431967	+	0.748189i
$413$			9.72518i			0.478545i
$414$	12.9935	+	7.50183i	0.638598	+	0.368695i
$415$	−3.97070	−	22.1408i	−0.194914	−	1.08685i
$416$	−1.97743	−	3.42500i	−0.0969513	−	0.167925i
$417$	−14.1203	+	14.1203i	−0.691474	+	0.691474i
$418$	1.80258	−	1.80258i	0.0881671	−	0.0881671i
$419$	25.0521	−	14.4638i	1.22387	−	0.706604i	0.258132	−	0.966110i	$-0.416893\pi$
$419$	25.0521	−	14.4638i	1.22387	−	0.706604i	0.965742	+	0.259506i	$0.0835596\pi$
$420$	20.4910	+	43.6102i	0.999857	+	2.12796i
$421$	−15.2114	+	15.2114i	−0.741360	+	0.741360i	−0.972840	−	0.231480i	$-0.925643\pi$
$421$	−15.2114	+	15.2114i	−0.741360	+	0.741360i	0.231480	+	0.972840i	$0.425643\pi$
$422$	−5.16395	+	2.98141i	−0.251377	+	0.145133i
$423$	16.5100	−	61.6163i	0.802746	−	2.99589i
$424$	−14.7963	−	3.96465i	−0.718570	−	0.192540i
$425$	−3.25497	−	0.554364i	−0.157889	−	0.0268906i
$426$	11.2258	−	3.00795i	0.543893	−	0.145736i
$427$	50.0816	−	28.9146i	2.42362	−	1.39928i
$428$	9.77265	+	2.61857i	0.472379	+	0.126574i
$429$	−8.21156	−	2.20028i	−0.396458	−	0.106231i
$430$	8.18925	+	5.69862i	0.394921	+	0.274812i
$431$	−5.40908	−	20.1870i	−0.260546	−	0.972372i	−0.964920	−	0.262543i	$-0.915439\pi$
$431$	−5.40908	−	20.1870i	−0.260546	−	0.972372i	0.704374	−	0.709829i	$-0.251228\pi$
$432$	10.2314	−	38.1841i	0.492258	−	1.83713i
$433$	−14.4812	−	14.4812i	−0.695923	−	0.695923i	0.267606	−	0.963528i	$-0.413768\pi$
$433$	−14.4812	−	14.4812i	−0.695923	−	0.695923i	−0.963528	+	0.267606i	$0.913768\pi$
$434$	−9.60363			−0.460989
$435$	0.808641	−	9.56431i	0.0387713	−	0.458573i
$436$	−3.76227	+	3.76227i	−0.180180	+	0.180180i
$437$	6.96311	−	1.86576i	0.333091	−	0.0892513i
$438$	−15.9697			−0.763064
$439$	−2.20355	+	0.590440i	−0.105170	+	0.0281802i	−0.311020	−	0.950403i	$-0.600671\pi$
$439$	−2.20355	+	0.590440i	−0.105170	+	0.0281802i	0.205850	+	0.978583i	$0.434004\pi$
$440$	−11.5349	+	5.41987i	−0.549905	+	0.258382i
$441$	26.1728	−	45.3325i	1.24632	−	2.15869i
$442$	−0.127013	−	0.219993i	−0.00604140	−	0.0104640i
$443$	−2.93174	+	2.93174i	−0.139291	+	0.139291i	−0.773314	−	0.634023i	$-0.781402\pi$
$443$	−2.93174	+	2.93174i	−0.139291	+	0.139291i	0.634023	+	0.773314i	$0.281402\pi$
$444$	22.7455	−	26.6517i	1.07945	−	1.26483i
$445$	2.16034	+	12.0461i	0.102410	+	0.571042i
$446$	−0.431515	−	0.115624i	−0.0204328	−	0.00547496i
$447$	26.7578	−	7.16972i	1.26560	−	0.339116i
$448$	−3.07335	−	11.4699i	−0.145202	−	0.541902i
$449$	3.50367	+	13.0759i	0.165348	+	0.617088i	0.997996	+	0.0632844i	$0.0201575\pi$
$449$	3.50367	+	13.0759i	0.165348	+	0.617088i	−0.832647	+	0.553804i	$0.813176\pi$
$450$	6.11233	+	16.4932i	0.288138	+	0.777498i
$451$	4.10721	−	7.11390i	0.193401	−	0.334981i
$452$	21.7547			1.02325
$453$	−4.64757	+	17.3450i	−0.218362	+	0.814938i
$454$		−	8.60265i		−	0.403742i
$455$	1.20835	+	6.73779i	0.0566481	+	0.315872i
$456$	4.86090	+	8.41933i	0.227633	+	0.394271i
$457$	−8.43506	+	14.6100i	−0.394576	+	0.683425i	−0.993047	−	0.117719i	$-0.962442\pi$
$457$	−8.43506	+	14.6100i	−0.394576	+	0.683425i	0.598471	+	0.801144i	$0.295775\pi$
$458$	9.42236			0.440278
$459$	2.48126	−	9.26020i	0.115815	−	0.432229i
$460$	−16.9059	−	1.42935i	−0.788240	−	0.0666439i
$461$	−3.51021	+	13.1003i	−0.163487	+	0.610140i	0.834742	+	0.550642i	$0.185617\pi$
$461$	−3.51021	+	13.1003i	−0.163487	+	0.610140i	−0.998228	+	0.0594987i	$0.981050\pi$
$462$	15.8210	+	9.13427i	0.736061	+	0.424965i
$463$	−25.2588	−	14.5832i	−1.17388	−	0.677739i	−0.219288	−	0.975660i	$-0.570373\pi$
$463$	−25.2588	−	14.5832i	−1.17388	−	0.677739i	−0.954590	+	0.297921i	$0.903707\pi$
$464$	−0.934337	+	3.48699i	−0.0433755	+	0.161880i
$465$	39.3988	+	3.33108i	1.82708	+	0.154475i
$466$	−0.895837	+	3.34331i	−0.0414988	+	0.154876i
$467$	−13.4170			−0.620863			−0.310431	−	0.950596i	$-0.600474\pi$
$467$	−13.4170			−0.620863			−0.310431	+	0.950596i	$0.600474\pi$
$468$	5.44745	−	9.43526i	0.251808	−	0.436145i
$469$	11.0445	+	19.1296i	0.509987	+	0.883323i
$470$	−1.58157	−	8.81892i	−0.0729525	−	0.406786i
$471$		−	12.7986i		−	0.589726i
$472$	1.19525	−	4.46075i	0.0550160	−	0.205323i
$473$	−30.4539			−1.40027
$474$	−10.2122	+	17.6881i	−0.469063	+	0.812441i
$475$	7.68002	+	3.52681i	0.352383	+	0.161821i
$476$	−1.13749	−	4.24516i	−0.0521367	−	0.194577i
$477$	−16.7021	−	62.3332i	−0.764738	−	2.85404i
$478$	2.73135	−	0.731862i	0.124929	−	0.0334746i
$479$	26.9074	+	7.20982i	1.22943	+	0.329425i	0.814358	−	0.580363i	$-0.197089\pi$
$479$	26.9074	+	7.20982i	1.22943	+	0.329425i	0.415074	+	0.909788i	$0.363756\pi$
$480$	−6.17656	−	34.4407i	−0.281920	−	1.57200i
$481$	4.10118	−	2.82091i	0.186998	−	0.128623i
$482$	6.71255	−	6.71255i	0.305748	−	0.305748i
$483$	25.8299	+	44.7388i	1.17530	+	2.03568i
$484$	−0.627671	+	1.08716i	−0.0285305	+	0.0494162i
$485$	−7.87629	+	3.70081i	−0.357644	+	0.168045i
$486$	−16.3237	+	4.37391i	−0.740457	+	0.198405i
$487$	8.16101			0.369811			0.184905	−	0.982756i	$-0.440802\pi$
$487$	8.16101			0.369811			0.184905	+	0.982756i	$0.440802\pi$
$488$	−26.5252	+	7.10739i	−1.20074	+	0.321737i
$489$	−7.25394	+	7.25394i	−0.328034	+	0.328034i
$490$	0.619401	−	7.32605i	0.0279817	−	0.330957i
$491$	19.5761			0.883458			0.441729	−	0.897148i	$-0.354365\pi$
$491$	19.5761			0.883458			0.441729	+	0.897148i	$0.354365\pi$
$492$	10.4280	+	10.4280i	0.470132	+	0.470132i
$493$	−0.226590	+	0.845646i	−0.0102051	+	0.0380860i
$494$	0.168280	+	0.628028i	0.00757126	+	0.0282563i
$495$	−44.0706	−	30.6672i	−1.98083	−	1.37839i
$496$	−14.3642	−	3.84887i	−0.644971	−	0.172819i
$497$	27.5915	+	7.39313i	1.23765	+	0.331627i
$498$	13.2598	−	7.65553i	0.594185	−	0.343053i
$499$	−2.06095	+	0.552230i	−0.0922609	+	0.0247212i	−0.304654	−	0.952463i	$-0.598541\pi$
$499$	−2.06095	+	0.552230i	−0.0922609	+	0.0247212i	0.212393	+	0.977184i	$0.431874\pi$
$500$	−14.1871	−	13.9408i	−0.634466	−	0.623449i
$501$	−36.3989	−	9.75306i	−1.62618	−	0.435734i
$502$	1.62200	−	6.05340i	0.0723935	−	0.270176i
$503$	16.1388	−	9.31776i	0.719595	−	0.415458i	−0.0950087	−	0.995476i	$-0.530288\pi$
$503$	16.1388	−	9.31776i	0.719595	−	0.415458i	0.814604	+	0.580018i	$0.196955\pi$
$504$	−35.1663	+	35.1663i	−1.56643	+	1.56643i
$505$	7.81251	+	16.6271i	0.347652	+	0.739895i
$506$	−5.57074	+	3.21627i	−0.247650	+	0.142981i
$507$	−28.2304	+	28.2304i	−1.25376	+	1.25376i
$508$	−7.46076	+	7.46076i	−0.331018	+	0.331018i
$509$	−1.23838	−	2.14493i	−0.0548901	−	0.0950725i	0.837275	−	0.546782i	$-0.184148\pi$
$509$	−1.23838	−	2.14493i	−0.0548901	−	0.0950725i	−0.892165	+	0.451710i	$0.850814\pi$
$510$	−0.396730	−	2.21218i	−0.0175675	−	0.0979570i
$511$	−33.9927	−	19.6257i	−1.50375	−	0.868191i
$512$			22.8344i			1.00915i
$513$	−12.2688	+	21.2502i	−0.541682	+	0.938221i
$514$	2.67598	+	1.54498i	0.118032	+	0.0681460i
$515$	−19.9486	+	9.37320i	−0.879042	+	0.413032i
$516$	14.1507	−	52.8113i	0.622952	−	2.32489i
$517$	19.3385	+	19.3385i	0.850506	+	0.850506i
$518$	−10.0818	+	3.57437i	−0.442968	+	0.157049i
$519$			53.5260i			2.34953i
$520$	0.273850	−	3.23900i	0.0120091	−	0.142040i
$521$	−13.4053	−	7.73954i	−0.587296	−	0.339075i	0.176732	−	0.984259i	$-0.443447\pi$
$521$	−13.4053	−	7.73954i	−0.587296	−	0.339075i	−0.764027	+	0.645184i	$0.776781\pi$
$522$	4.50488	−	1.20708i	0.197173	−	0.0528324i
$523$	−24.2703	−	14.0124i	−1.06126	−	0.612721i	−0.135482	−	0.990780i	$-0.543258\pi$
$523$	−24.2703	−	14.0124i	−1.06126	−	0.612721i	−0.925782	+	0.378059i	$0.876592\pi$
$524$	5.80918	−	5.80918i	0.253775	−	0.253775i
$525$	−10.1682	+	59.7033i	−0.443779	+	2.60567i
$526$	2.88907	+	2.88907i	0.125969	+	0.125969i
$527$	−3.48352	−	0.933407i	−0.151745	−	0.0406598i
$528$	20.0028	+	20.0028i	0.870509	+	0.870509i
$529$	4.81003			0.209132
$530$	−5.84638	−	6.92628i	−0.253950	−	0.300858i
$531$	18.7921	−	5.03533i	0.815507	−	0.218515i
$532$			11.2488i			0.487698i
$533$	1.04755	+	1.81440i	0.0453742	+	0.0785905i
$534$	−7.21425	+	4.16515i	−0.312191	+	0.180244i
$535$	8.20247	+	9.71756i	0.354624	+	0.420127i
$536$	−2.71480	−	10.1318i	−0.117262	−	0.437626i
$537$	12.0553	−	20.8804i	0.520226	−	0.901057i
$538$	4.96855	+	8.60578i	0.214209	+	0.371022i
$539$	11.2211	+	19.4355i	0.483326	+	0.837146i
$540$	44.1311	−	37.2505i	1.89910	−	1.60301i
$541$	28.3277	+	28.3277i	1.21790	+	1.21790i	0.968365	+	0.249538i	$0.0802789\pi$
$541$	28.3277	+	28.3277i	1.21790	+	1.21790i	0.249538	+	0.968365i	$0.419721\pi$
$542$	6.95295	+	4.01429i	0.298655	+	0.172428i
$543$	−1.78081	−	0.477167i	−0.0764220	−	0.0204772i
$544$			3.19147i			0.136833i
$545$	−6.58253	+	1.18050i	−0.281965	+	0.0505671i
$546$	−4.03516	+	2.32970i	−0.172689	+	0.0997019i
$547$		−	6.18336i		−	0.264381i	−0.991224	−	0.132191i	$-0.957799\pi$
$547$		−	6.18336i		−	0.264381i	0.991224	−	0.132191i	$-0.0422011\pi$
$548$	9.61584	+	35.8868i	0.410768	+	1.53301i
$549$	−81.8025	−	81.8025i	−3.49125	−	3.49125i
$550$	−7.43408	−	1.26612i	−0.316990	−	0.0539876i
$551$	1.12040	−	1.94058i	0.0477305	−	0.0826716i
$552$	−6.34915	−	23.6954i	−0.270238	−	1.00854i
$553$	−43.4749	+	25.1002i	−1.84874	+	1.06737i
$554$	0.689695			0.0293023
$555$	42.6002	−	11.1669i	1.80828	−	0.474008i
$556$	10.9720			0.465316
$557$	−23.1454	+	13.3630i	−0.980702	+	0.566208i	−0.902482	−	0.430728i	$-0.858257\pi$
$557$	−23.1454	+	13.3630i	−0.980702	+	0.566208i	−0.0782197	+	0.996936i	$0.524924\pi$
$558$	4.97239	+	18.5572i	0.210498	+	0.785590i
$559$	3.88364	−	6.72666i	0.164260	−	0.284507i
$560$	7.72800	−	21.4269i	0.326568	−	0.905453i
$561$	4.85096	+	4.85096i	0.204808	+	0.204808i
$562$	−2.60299	−	9.71450i	−0.109801	−	0.409781i
$563$			28.8435i			1.21561i	0.794087	+	0.607804i	$0.207949\pi$
$563$			28.8435i			1.21561i	−0.794087	+	0.607804i	$0.792051\pi$
$564$	−42.5215	+	24.5498i	−1.79048	+	1.03373i
$565$	22.4442	+	15.6181i	0.944234	+	0.657060i
$566$			0.819206i			0.0344338i
$567$	−88.7261	−	23.7741i	−3.72615	−	0.998418i
$568$	−11.7470	−	6.78216i	−0.492895	−	0.284573i
$569$	10.5777	+	10.5777i	0.443441	+	0.443441i	0.893167	−	0.449726i	$-0.148478\pi$
$569$	10.5777	+	10.5777i	0.443441	+	0.443441i	−0.449726	+	0.893167i	$0.648478\pi$
$570$	−0.484626	+	5.73198i	−0.0202988	+	0.240086i
$571$	−4.83429	−	8.37324i	−0.202309	−	0.350409i	0.746963	−	0.664865i	$-0.231511\pi$
$571$	−4.83429	−	8.37324i	−0.202309	−	0.350409i	−0.949272	+	0.314456i	$0.898178\pi$
$572$	2.33549	+	4.04519i	0.0976519	+	0.169138i
$573$	32.6584	−	56.5660i	1.36433	−	2.36308i
$574$	−1.16526	−	4.34879i	−0.0486368	−	0.181515i
$575$	−16.4155	−	13.6117i	−0.684575	−	0.567649i
$576$	−20.5722	+	11.8774i	−0.857174	+	0.494890i
$577$	0.881655	+	1.52707i	0.0367038	+	0.0635728i	0.883794	−	0.467877i	$-0.154981\pi$
$577$	0.881655	+	1.52707i	0.0367038	+	0.0635728i	−0.847090	+	0.531449i	$0.821648\pi$
$578$		−	7.78627i		−	0.323866i
$579$	−4.23435	+	1.13459i	−0.175974	+	0.0471520i
$580$	−4.03008	+	3.40174i	−0.167340	+	0.141249i
$581$	37.6325			1.56126
$582$	−4.18854	−	4.18854i	−0.173621	−	0.173621i
$583$	26.7242	+	7.16073i	1.10680	+	0.296567i
$584$	13.1797	+	13.1797i	0.545382	+	0.545382i
$585$	12.3939	−	5.82347i	0.512424	−	0.240771i
$586$	4.56564	−	4.56564i	0.188605	−	0.188605i
$587$	2.68803	+	1.55193i	0.110947	+	0.0640552i	0.554447	−	0.832219i	$-0.312930\pi$
$587$	2.68803	+	1.55193i	0.110947	+	0.0640552i	−0.443500	+	0.896274i	$0.646263\pi$
$588$	−38.9178	+	10.4280i	−1.60494	+	0.430044i
$589$	7.99396	+	4.61531i	0.329385	+	0.190171i
$590$	2.08812	−	1.76255i	0.0859666	−	0.0725632i
$591$			38.8023i			1.59611i
$592$	−16.5119	+	1.30570i	−0.678633	+	0.0536639i
$593$	−17.3974	−	17.3974i	−0.714425	−	0.714425i	0.253033	−	0.967458i	$-0.418572\pi$
$593$	−17.3974	−	17.3974i	−0.714425	−	0.714425i	−0.967458	+	0.253033i	$0.918572\pi$
$594$	5.66699	−	21.1495i	0.232520	−	0.867775i
$595$	1.87415	−	5.19634i	0.0768327	−	0.213029i
$596$	−13.1815	−	7.61032i	−0.539934	−	0.311731i
$597$	−7.74961	+	13.4227i	−0.317171	+	0.549355i
$598$		−	1.64062i		−	0.0670900i
$599$	20.6878	+	11.9441i	0.845279	+	0.488022i	0.859055	−	0.511883i	$-0.171052\pi$
$599$	20.6878	+	11.9441i	0.845279	+	0.488022i	−0.0137764	+	0.999905i	$0.504385\pi$
$600$	12.0017	−	26.1350i	0.489967	−	1.06696i
$601$	−8.13600	−	14.0920i	−0.331875	−	0.574823i	0.651005	−	0.759074i	$-0.274348\pi$
$601$	−8.13600	−	14.0920i	−0.331875	−	0.574823i	−0.982879	+	0.184250i	$0.941014\pi$
$602$	−11.8025	+	11.8025i	−0.481036	+	0.481036i
$603$	31.2460	−	31.2460i	1.27243	−	1.27243i
$604$	8.54451	−	4.93318i	0.347671	−	0.200728i
$605$	−1.42806	+	0.670997i	−0.0580588	+	0.0272799i
$606$	−8.84213	+	8.84213i	−0.359187	+	0.359187i
$607$	30.0825	−	17.3681i	1.22101	−	0.704951i	0.255877	−	0.966709i	$-0.417636\pi$
$607$	30.0825	−	17.3681i	1.22101	−	0.704951i	0.965133	+	0.261759i	$0.0843025\pi$
$608$	2.11419	−	7.89027i	0.0857418	−	0.319993i
$609$	15.5110	+	4.15616i	0.628537	+	0.168416i
$610$	−15.2849	−	5.51279i	−0.618869	−	0.223206i
$611$	−6.73763	+	1.80534i	−0.272575	+	0.0730363i
$612$	−7.61403	+	4.39596i	−0.307779	+	0.177696i
$613$	−2.08975	−	0.559946i	−0.0844041	−	0.0226160i	0.216370	−	0.976311i	$-0.430578\pi$
$613$	−2.08975	−	0.559946i	−0.0844041	−	0.0226160i	−0.300774	+	0.953695i	$0.597245\pi$
$614$	−5.49658	−	1.47280i	−0.221824	−	0.0594375i
$615$	3.27204	+	18.2450i	0.131941	+	0.735711i
$616$	−5.51854	−	20.5955i	−0.222348	−	0.829815i
$617$	−10.3012	+	38.4445i	−0.414709	+	1.54772i	0.370709	+	0.928749i	$0.379115\pi$
$617$	−10.3012	+	38.4445i	−0.414709	+	1.54772i	−0.785418	+	0.618966i	$0.787552\pi$
$618$	−10.6085	−	10.6085i	−0.426737	−	0.426737i
$619$	2.61061			0.104929			0.0524646	−	0.998623i	$-0.483292\pi$
$619$	2.61061			0.104929			0.0524646	+	0.998623i	$0.483292\pi$
$620$	−14.0130	−	16.6013i	−0.562775	−	0.666726i
$621$	43.7815	−	43.7815i	1.75689	−	1.75689i
$622$	−1.82434	+	0.488830i	−0.0731493	+	0.0196003i
$623$	−20.4747			−0.820302
$624$	−6.96907	+	1.86736i	−0.278986	+	0.0747541i
$625$	−4.62840	−	24.5678i	−0.185136	−	0.982713i
$626$	−2.84315	+	4.92447i	−0.113635	+	0.196822i
$627$	−8.77950	−	15.2065i	−0.350619	−	0.607290i
$628$	−4.97247	+	4.97247i	−0.198423	+	0.198423i
$629$	−4.00437	+	0.316651i	−0.159665	+	0.0126257i
$630$	−28.9650	+	5.19454i	−1.15399	+	0.206955i
$631$	9.60097	+	2.57257i	0.382209	+	0.102413i	0.444807	−	0.895626i	$-0.353272\pi$
$631$	9.60097	+	2.57257i	0.382209	+	0.102413i	−0.0625986	+	0.998039i	$0.519939\pi$
$632$	23.0260	−	6.16979i	0.915924	−	0.245421i
$633$	10.6301	+	39.6721i	0.422508	+	1.57682i
$634$	−0.917675	−	3.42481i	−0.0364455	−	0.136017i
$635$	−13.0535	+	2.34099i	−0.518011	+	0.0928994i
$636$	−24.8354	+	43.0162i	−0.984787	+	1.70570i
$637$	−5.72388			−0.226788
$638$	−0.517513	+	1.93139i	−0.0204885	+	0.0764643i
$639$		−	57.1433i		−	2.26056i
$640$	−14.2508	+	20.4793i	−0.563314	+	0.809515i
$641$	9.52943	+	16.5054i	0.376390	+	0.651926i	0.990534	−	0.137268i	$-0.0438321\pi$
$641$	9.52943	+	16.5054i	0.376390	+	0.651926i	−0.614144	+	0.789194i	$0.710499\pi$
$642$	−4.32792	+	7.49617i	−0.170809	+	0.295850i
$643$	29.6176			1.16800			0.584002	−	0.811752i	$-0.301486\pi$
$643$	29.6176			1.16800			0.584002	+	0.811752i	$0.301486\pi$
$644$	7.34643	−	27.4172i	0.289490	−	1.08039i
$645$	52.5136	−	44.3260i	2.06772	−	1.74534i
$646$	0.135798	−	0.506804i	0.00534289	−	0.0199399i
$647$	−28.8639	−	16.6646i	−1.13476	−	0.655153i	−0.189631	−	0.981855i	$-0.560729\pi$
$647$	−28.8639	−	16.6646i	−1.13476	−	0.655153i	−0.945127	+	0.326702i	$0.894063\pi$
$648$	37.7750	+	21.8094i	1.48394	+	0.856755i
$649$	−2.15880	+	8.05676i	−0.0847404	+	0.316256i
$650$	1.22769	−	1.48058i	0.0481541	−	0.0580730i
$651$	−17.1207	+	63.8954i	−0.671014	+	2.50426i
$652$	5.63658			0.220745
$653$	19.6464	−	34.0286i	0.768824	−	1.33164i	−0.169377	−	0.985551i	$-0.554176\pi$
$653$	19.6464	−	34.0286i	0.768824	−	1.33164i	0.938201	−	0.346090i	$-0.112491\pi$
$654$	−2.27601	−	3.94217i	−0.0889992	−	0.154151i
$655$	10.1638	−	1.82277i	0.397134	−	0.0712214i
$656$		−	6.97150i		−	0.272191i
$657$	−20.3229	+	75.8461i	−0.792871	+	2.95904i
$658$	14.9894			0.584349
$659$	23.0987	−	40.0081i	0.899797	−	1.55849i	0.0720451	−	0.997401i	$-0.477047\pi$
$659$	23.0987	−	40.0081i	0.899797	−	1.55849i	0.827752	−	0.561094i	$-0.189619\pi$
$660$	7.29499	+	40.6772i	0.283957	+	1.58336i
$661$	0.698299	+	2.60609i	0.0271607	+	0.101365i	0.978176	−	0.207780i	$-0.0666238\pi$
$661$	0.698299	+	2.60609i	0.0271607	+	0.101365i	−0.951015	+	0.309145i	$0.899957\pi$
$662$	3.47421	+	12.9659i	0.135029	+	0.503935i
$663$	−1.69010	+	0.452861i	−0.0656380	+	0.0175877i
$664$	−17.2613	−	4.62515i	−0.669868	−	0.179490i
$665$	−8.07577	+	11.6054i	−0.313165	+	0.450036i
$666$	12.1268	+	17.6305i	0.469903	+	0.683168i
$667$	−3.99816	+	3.99816i	−0.154809	+	0.154809i
$668$	10.3524	+	17.9309i	0.400547	+	0.693767i
$669$	−1.53855	+	2.66485i	−0.0594838	+	0.103029i
$670$	2.10571	−	5.83837i	0.0813507	−	0.225556i
$671$	47.9083	−	12.8370i	1.84948	−	0.495566i
$672$	58.5386			2.25818
$673$	25.0034	−	6.69965i	0.963811	−	0.258252i	0.257598	−	0.966252i	$-0.417069\pi$
$673$	25.0034	−	6.69965i	0.963811	−	0.258252i	0.706213	+	0.708000i	$0.250402\pi$
$674$	−3.18709	+	3.18709i	−0.122762	+	0.122762i
$675$	72.2728	−	6.74848i	2.78178	−	0.259749i
$676$	21.9361			0.843694
$677$	−13.1444	−	13.1444i	−0.505180	−	0.505180i	0.407863	−	0.913043i	$-0.366274\pi$
$677$	−13.1444	−	13.1444i	−0.505180	−	0.505180i	−0.913043	+	0.407863i	$0.866274\pi$
$678$	−4.81713	+	17.9778i	−0.185001	+	0.690433i
$679$	−3.76818	−	14.0630i	−0.144609	−	0.539690i
$680$	−1.49828	+	2.15312i	−0.0574565	+	0.0825683i
$681$	−57.2356	−	15.3362i	−2.19327	−	0.587685i
$682$	−7.95607	−	2.13182i	−0.304654	−	0.0816317i
$683$	−29.6575	+	17.1228i	−1.13481	+	0.655185i	−0.945141	−	0.326663i	$-0.894076\pi$
$683$	−29.6575	+	17.1228i	−1.13481	+	0.655185i	−0.189672	+	0.981847i	$0.560743\pi$
$684$	21.7363	−	5.82421i	0.831106	−	0.222694i
$685$	−15.8433	+	43.9277i	−0.605341	+	1.67839i
$686$	−0.00911336	−	0.00244192i	−0.000347950	−	9.32328e-5i
$687$	16.7976	−	62.6893i	0.640867	−	2.39175i
$688$	−22.3832	+	12.9230i	−0.853352	+	0.492683i
$689$	−4.98967	+	4.98967i	−0.190091	+	0.190091i
$690$	4.92467	−	13.6543i	0.187479	−	0.519810i
$691$	−17.0881	+	9.86580i	−0.650061	+	0.375313i	−0.788479	−	0.615061i	$-0.789131\pi$
$691$	−17.0881	+	9.86580i	−0.650061	+	0.375313i	0.138419	+	0.990374i	$0.455798\pi$
$692$	20.7958	−	20.7958i	0.790539	−	0.790539i
$693$	63.5155	−	63.5155i	2.41276	−	2.41276i
$694$	−1.43437	−	2.48440i	−0.0544479	−	0.0943065i
$695$	11.3198	+	7.87703i	0.429383	+	0.298793i
$696$	−6.60378	−	3.81270i	−0.250316	−	0.144520i
$697$		−	1.69069i		−	0.0640394i
$698$	−5.17115	+	8.95670i	−0.195731	+	0.339016i
$699$	20.6468	+	11.9204i	0.780935	+	0.450873i
$700$	27.1464	−	19.2453i	1.02604	−	0.727403i
$701$	11.0687	−	41.3088i	0.418058	−	1.56021i	−0.360574	−	0.932731i	$-0.617419\pi$
$701$	11.0687	−	41.3088i	0.418058	−	1.56021i	0.778631	−	0.627482i	$-0.215914\pi$
$702$	3.94882	+	3.94882i	0.149039	+	0.149039i
$703$	10.1097	+	1.86984i	0.381296	+	0.0705222i
$704$		−	10.1844i		−	0.383839i
$705$	−61.4940	−	5.19918i	−2.31600	−	0.195812i
$706$	−3.75157	−	2.16597i	−0.141192	−	0.0815174i
$707$	−29.6875	+	7.95474i	−1.11651	+	0.299169i
$708$	−12.9684	−	7.48733i	−0.487384	−	0.281391i
$709$	−26.0295	+	26.0295i	−0.977557	+	0.977557i	−0.999754	−	0.0221963i	$-0.992934\pi$
$709$	−26.0295	+	26.0295i	−0.977557	+	0.977557i	0.0221963	+	0.999754i	$0.492934\pi$
$710$	−3.41318	−	7.26415i	−0.128094	−	0.272619i
$711$	71.0111	+	71.0111i	2.66313	+	2.66313i
$712$	9.39135	+	2.51640i	0.351956	+	0.0943063i
$713$	−16.4698	−	16.4698i	−0.616800	−	0.616800i
$714$	3.76002			0.140715
$715$	−0.494613	+	5.85010i	−0.0184975	+	0.218782i
$716$	−12.7962	+	3.42872i	−0.478215	+	0.128137i
$717$		−	19.4770i		−	0.727383i
$718$	−2.35961	−	4.08697i	−0.0880599	−	0.152524i
$719$	−26.1105	+	15.0749i	−0.973757	+	0.562199i	−0.900380	−	0.435105i	$-0.856711\pi$
$719$	−26.1105	+	15.0749i	−0.973757	+	0.562199i	−0.0733778	+	0.997304i	$0.523378\pi$
$720$	−45.4048	−	3.83887i	−1.69214	−	0.143066i
$721$	−9.54384	−	35.6181i	−0.355431	−	1.32649i
$722$	3.79424	−	6.57182i	0.141207	−	0.244578i
$723$	−32.6936	−	56.6269i	−1.21589	−	2.10598i
$724$	0.506490	+	0.877267i	0.0188236	+	0.0326034i
$725$	−6.59999	+	0.616275i	−0.245118	+	0.0228879i
$726$	−0.759428	−	0.759428i	−0.0281850	−	0.0281850i
$727$	−32.5706	−	18.8047i	−1.20798	−	0.697426i	−0.245661	−	0.969356i	$-0.579005\pi$
$727$	−32.5706	−	18.8047i	−1.20798	−	0.697426i	−0.962317	+	0.271930i	$0.912338\pi$
$728$	5.25288	+	1.40750i	0.194685	+	0.0521656i
$729$			42.7402i			1.58297i
$730$	1.94682	+	10.8556i	0.0720551	+	0.401783i
$731$	−5.42825	+	3.13400i	−0.200771	+	0.115915i
$732$			89.0445i			3.29118i
$733$	11.8420	+	44.1950i	0.437395	+	1.63238i	0.735269	+	0.677775i	$0.237056\pi$
$733$	11.8420	+	44.1950i	0.437395	+	1.63238i	−0.297874	+	0.954605i	$0.596278\pi$
$734$	9.74074	+	9.74074i	0.359537	+	0.359537i
$735$	−47.6378	−	17.1814i	−1.75715	−	0.633746i
$736$	−10.3060	+	17.8505i	−0.379885	+	0.657980i
$737$	4.90333	+	18.2995i	0.180616	+	0.674069i
$738$	−7.79990	+	4.50328i	−0.287118	+	0.165768i
$739$	52.6605			1.93715			0.968573	−	0.248729i	$-0.0800128\pi$
$739$	52.6605			1.93715			0.968573	+	0.248729i	$0.0800128\pi$
$740$	−20.8895	−	12.2124i	−0.767914	−	0.448938i
$741$	4.47842			0.164519
$742$	13.1323	−	7.58191i	0.482100	−	0.278341i
$743$	9.03023	+	33.7013i	0.331287	+	1.23638i	0.907839	+	0.419319i	$0.137731\pi$
$743$	9.03023	+	33.7013i	0.331287	+	1.23638i	−0.576552	+	0.817061i	$0.695602\pi$
$744$	15.7059	−	27.2034i	0.575805	−	0.997323i
$745$	−8.13563	−	17.3148i	−0.298067	−	0.634364i
$746$	9.89479	+	9.89479i	0.362274	+	0.362274i
$747$	−19.4847	−	72.7177i	−0.712906	−	2.66060i
$748$		−	3.76938i		−	0.137822i
$749$	−18.4245	+	10.6374i	−0.673218	+	0.388683i
$750$	14.6619	−	8.63715i	0.535377	−	0.315384i
$751$		−	29.5424i		−	1.07802i	−0.842301	−	0.539008i	$-0.818799\pi$
$751$		−	29.5424i		−	1.07802i	0.842301	−	0.539008i	$-0.181201\pi$
$752$	22.4197	+	6.00735i	0.817563	+	0.219065i
$753$	−37.3832	−	21.5832i	−1.36232	−	0.786535i
$754$	−0.360608	−	0.360608i	−0.0131326	−	0.0131326i
$755$	12.3570	+	1.04475i	0.449716	+	0.0380225i
$756$	48.3085	+	83.6729i	1.75696	+	3.04315i
$757$	−26.9069	−	46.6041i	−0.977947	−	1.69385i	−0.669844	−	0.742502i	$-0.733639\pi$
$757$	−26.9069	−	46.6041i	−0.977947	−	1.69385i	−0.308103	−	0.951353i	$-0.599694\pi$
$758$	−1.26840	+	2.19692i	−0.0460702	+	0.0797959i
$759$	11.4675	+	42.7973i	0.416244	+	1.55344i
$760$	5.13053	−	4.33061i	0.186104	−	0.157088i
$761$	24.3583	−	14.0633i	0.882989	−	0.509794i	0.0113459	−	0.999936i	$-0.496388\pi$
$761$	24.3583	−	14.0633i	0.882989	−	0.509794i	0.871643	+	0.490142i	$0.163055\pi$
$762$	−4.51345	−	7.81752i	−0.163505	−	0.283199i
$763$		−	11.1883i		−	0.405042i
$764$	−34.6654	+	9.28855i	−1.25415	+	0.336048i
$765$	−11.0113	−	0.930982i	−0.398115	−	0.0336597i
$766$	16.1874			0.584874
$767$	−1.50428	−	1.50428i	−0.0543163	−	0.0543163i
$768$	3.45089	+	0.924663i	0.124523	+	0.0333659i
$769$	13.6718	+	13.6718i	0.493020	+	0.493020i	0.909256	−	0.416237i	$-0.136651\pi$
$769$	13.6718	+	13.6718i	0.493020	+	0.493020i	−0.416237	+	0.909256i	$0.636651\pi$
$770$	4.28040	−	11.8680i	0.154255	−	0.427693i
$771$	15.0497	−	15.0497i	0.542000	−	0.542000i
$772$	2.08593	+	1.20431i	0.0750743	+	0.0433442i
$773$	−2.95830	+	0.792674i	−0.106403	+	0.0285105i	−0.311628	−	0.950204i	$-0.600874\pi$
$773$	−2.95830	+	0.792674i	−0.106403	+	0.0285105i	0.205225	+	0.978715i	$0.434207\pi$
$774$	28.9171	+	16.6953i	1.03940	+	0.600100i
$775$	−2.53866	−	27.1877i	−0.0911912	−	0.976612i
$776$			6.91356i			0.248182i
$777$	5.80806	+	73.4488i	0.208363	+	2.63496i
$778$	−4.33767	−	4.33767i	−0.155513	−	0.155513i
$779$	−1.12000	+	4.17988i	−0.0401280	+	0.149760i
$780$	−9.91506	−	3.57604i	−0.355016	−	0.128043i
$781$	21.2169	+	12.2496i	0.759200	+	0.438324i
$782$	−0.661971	+	1.14657i	−0.0236720	+	0.0410012i
$783$		−	19.2464i		−	0.687809i
$784$	16.4947	+	9.52322i	0.589097	+	0.340115i
$785$	−8.69992	+	1.56023i	−0.310513	+	0.0556871i
$786$	3.51431	+	6.08696i	0.125351	+	0.217115i
$787$	−38.1630	+	38.1630i	−1.36036	+	1.36036i	−0.486913	+	0.873451i	$0.661877\pi$
$787$	−38.1630	+	38.1630i	−1.36036	+	1.36036i	−0.873451	+	0.486913i	$0.838123\pi$
$788$	15.0754	−	15.0754i	0.537040	−	0.537040i
$789$	24.3721	−	14.0713i	0.867671	−	0.500950i
$790$	13.2686	+	4.78554i	0.472074	+	0.170262i
$791$	−32.3471	+	32.3471i	−1.15013	+	1.15013i
$792$	−36.9396	+	21.3271i	−1.31259	+	0.757825i
$793$	−3.27408	+	12.2190i	−0.116266	+	0.433910i
$794$	1.35116	+	0.362042i	0.0479509	+	0.0128484i
$795$	−56.5048	+	26.5497i	−2.00402	+	0.941621i
$796$	8.22584	−	2.20411i	0.291557	−	0.0781225i
$797$	39.3591	−	22.7240i	1.39417	−	0.804925i	0.400398	−	0.916342i	$-0.368872\pi$
$797$	39.3591	−	22.7240i	1.39417	−	0.804925i	0.993774	+	0.111416i	$0.0355387\pi$
$798$	−9.29589	−	2.49083i	−0.329071	−	0.0881743i
$799$	5.43711	+	1.45687i	0.192351	+	0.0515403i
$800$	−22.6584	+	8.39713i	−0.801096	+	0.296883i
$801$	10.6010	+	39.5636i	0.374569	+	1.39791i
$802$	−4.10390	+	15.3160i	−0.144914	+	0.540826i
$803$	−23.8045	−	23.8045i	−0.840044	−	0.840044i
$804$	−34.0122			−1.19952
$805$	27.2627	−	23.0121i	0.960884	−	0.811069i
$806$	1.48548	−	1.48548i	0.0523236	−	0.0523236i
$807$	66.1140	−	17.7152i	2.32732	−	0.623604i
$808$	14.5947			0.513441
$809$	49.0386	−	13.1399i	1.72411	−	0.461973i	0.745294	−	0.666736i	$-0.232309\pi$
$809$	49.0386	−	13.1399i	1.72411	−	0.461973i	0.978812	+	0.204763i	$0.0656424\pi$
$810$	10.9758	+	23.3594i	0.385650	+	0.820764i
$811$	−7.60549	+	13.1731i	−0.267065	+	0.462570i	−0.968103	−	0.250554i	$-0.919387\pi$
$811$	−7.60549	+	13.1731i	−0.267065	+	0.462570i	0.701038	+	0.713124i	$0.252720\pi$
$812$	−4.41156	−	7.64105i	−0.154816	−	0.268148i
$813$	39.1033	−	39.1033i	1.37141	−	1.37141i
$814$	−9.14563	+	0.723203i	−0.320554	+	0.0253483i
$815$	5.81523	+	4.04662i	0.203699	+	0.141747i
$816$	5.62388	+	1.50691i	0.196875	+	0.0527525i
$817$	15.4964	−	4.15224i	0.542149	−	0.145269i
$818$	−0.914171	−	3.41173i	−0.0319633	−	0.119288i
$819$	5.92948	+	22.1291i	0.207193	+	0.773255i
$820$	5.81729	−	8.35979i	0.203149	−	0.291936i
$821$	6.82079	−	11.8140i	0.238047	−	0.412310i	−0.722107	−	0.691782i	$-0.756826\pi$
$821$	6.82079	−	11.8140i	0.238047	−	0.412310i	0.960154	+	0.279472i	$0.0901593\pi$
$822$	−31.7857			−1.10865
$823$	1.59736	−	5.96144i	0.0556806	−	0.207803i	−0.932481	−	0.361219i	$-0.882361\pi$
$823$	1.59736	−	5.96144i	0.0556806	−	0.207803i	0.988162	+	0.153416i	$0.0490275\pi$
$824$			17.5103i			0.609999i
$825$	−21.6768	+	47.2036i	−0.754689	+	1.64342i
$826$	2.28578	+	3.95909i	0.0795325	+	0.137754i
$827$	6.81150	−	11.7979i	0.236859	−	0.410252i	−0.722952	−	0.690898i	$-0.757215\pi$
$827$	6.81150	−	11.7979i	0.236859	−	0.410252i	0.959811	+	0.280646i	$0.0905487\pi$
$828$	−56.7824			−1.97332
$829$	5.72823	−	21.3780i	0.198950	−	0.742490i	−0.792259	−	0.610185i	$-0.791095\pi$
$829$	5.72823	−	21.3780i	0.198950	−	0.742490i	0.991209	−	0.132306i	$-0.0422380\pi$
$830$	−6.82037	−	8.08018i	−0.236738	−	0.280467i
$831$	1.22954	−	4.58871i	0.0426523	−	0.159181i
$832$	2.24953	+	1.29877i	0.0779883	+	0.0450266i
$833$	4.00020	+	2.30952i	0.138599	+	0.0800201i
$834$	−2.42953	+	9.06712i	−0.0841277	+	0.313969i
$835$	−2.19244	+	25.9314i	−0.0758726	+	0.897394i
$836$	−2.49702	+	9.31902i	−0.0863613	+	0.322305i
$837$	79.2826			2.74041
$838$	6.79907	−	11.7763i	0.234870	−	0.406807i
$839$	−19.6810	−	34.0884i	−0.679462	−	1.17686i	−0.975143	−	0.221577i	$-0.928880\pi$
$839$	−19.6810	−	34.0884i	−0.679462	−	1.17686i	0.295681	−	0.955287i	$-0.404454\pi$
$840$	39.4929	+	27.4818i	1.36263	+	0.948211i
$841$		−	27.2424i		−	0.939394i
$842$	−2.61727	+	9.76777i	−0.0901970	+	0.336620i
$843$	−69.2734			−2.38590
$844$	11.2833	−	19.5433i	0.388389	−	0.672709i
$845$	22.6313	+	15.7484i	0.778541	+	0.541760i
$846$	−7.76095	−	28.9643i	−0.266827	−	0.995812i
$847$	−0.683212	−	2.54978i	−0.0234754	−	0.0876116i
$848$	22.6806	−	6.07724i	0.778854	−	0.208693i
$849$	5.45038	+	1.46042i	0.187057	+	0.0501216i
$850$	−1.45538	+	0.539360i	−0.0499193	+	0.0184999i
$851$	−23.4197	−	11.1599i	−0.802819	−	0.382558i
$852$	−31.1011	+	31.1011i	−1.06551	+	1.06551i
$853$	−7.51132	−	13.0100i	−0.257183	−	0.445453i	0.708303	−	0.705908i	$-0.249461\pi$
$853$	−7.51132	−	13.0100i	−0.257183	−	0.445453i	−0.965486	+	0.260455i	$0.916128\pi$
$854$	13.5920	−	23.5421i	0.465110	−	0.805594i
$855$	26.6065	+	9.59611i	0.909923	+	0.328180i
$856$	9.75835	−	2.61474i	0.333533	−	0.0893700i
$857$	12.5974			0.430319			0.215159	−	0.976579i	$-0.430973\pi$
$857$	12.5974			0.430319			0.215159	+	0.976579i	$0.430973\pi$
$858$	−3.86005	+	1.03430i	−0.131780	+	0.0353103i
$859$	22.7974	−	22.7974i	0.777838	−	0.777838i	−0.201625	−	0.979463i	$-0.564622\pi$
$859$	22.7974	−	22.7974i	0.777838	−	0.777838i	0.979463	+	0.201625i	$0.0646221\pi$
$860$	−37.6240	−	3.18102i	−1.28297	−	0.108472i
$861$	−31.0109			−1.05685
$862$	−6.94671	−	6.94671i	−0.236606	−	0.236606i
$863$	0.323666	−	1.20794i	0.0110177	−	0.0411187i	−0.960198	−	0.279320i	$-0.909891\pi$
$863$	0.323666	−	1.20794i	0.0110177	−	0.0411187i	0.971216	+	0.238201i	$0.0765577\pi$
$864$	−18.1590	−	67.7702i	−0.617781	−	2.30559i
$865$	36.3847	−	6.52518i	1.23712	−	0.221863i
$866$	−9.29888	−	2.49163i	−0.315989	−	0.0846689i
$867$	−51.8040	−	13.8808i	−1.75936	−	0.471418i
$868$	31.4762	−	18.1728i	1.06837	−	0.616826i
$869$	−41.5883	+	11.1435i	−1.41078	+	0.378019i
$870$	−1.91877	−	4.08366i	−0.0650525	−	0.138449i
$871$	−4.66728	−	1.25059i	−0.158145	−	0.0423748i
$872$	−1.37507	+	5.13183i	−0.0465658	+	0.173786i
$873$	−25.2232	+	14.5626i	−0.853675	+	0.492869i
$874$	2.39613	−	2.39613i	0.0810504	−	0.0810504i
$875$	41.8234	−	0.366297i	1.41389	−	0.0123831i
$876$	52.3414	−	30.2193i	1.76845	−	1.02102i
$877$	8.07888	−	8.07888i	0.272804	−	0.272804i	−0.557424	−	0.830228i	$-0.688210\pi$
$877$	8.07888	−	8.07888i	0.272804	−	0.272804i	0.830228	+	0.557424i	$0.188210\pi$
$878$	−0.758283	+	0.758283i	−0.0255908	+	0.0255908i
$879$	−22.2370	−	38.5156i	−0.750036	−	1.29910i
$880$	11.1586	−	16.0355i	0.376155	−	0.540557i
$881$	9.12655	+	5.26922i	0.307481	+	0.177524i	0.645799	−	0.763508i	$-0.276524\pi$
$881$	9.12655	+	5.26922i	0.307481	+	0.177524i	−0.338318	+	0.941032i	$0.609858\pi$
$882$		−	24.6063i		−	0.828537i
$883$	4.17864	−	7.23762i	0.140622	−	0.243565i	−0.787109	−	0.616814i	$-0.788423\pi$
$883$	4.17864	−	7.23762i	0.140622	−	0.243565i	0.927731	+	0.373249i	$0.121756\pi$
$884$	0.832580	+	0.480690i	0.0280027	+	0.0161674i
$885$	−8.00415	−	17.0349i	−0.269057	−	0.572624i
$886$	−0.504434	+	1.88257i	−0.0169468	+	0.0632462i
$887$	0.732255	+	0.732255i	0.0245867	+	0.0245867i	0.719293	−	0.694707i	$-0.244466\pi$
$887$	0.732255	+	0.732255i	0.0245867	+	0.0245867i	−0.694707	+	0.719293i	$0.744466\pi$
$888$	6.36303	−	34.4033i	0.213529	−	1.15450i
$889$		−	22.1869i		−	0.744123i
$890$	3.71076	+	4.39618i	0.124385	+	0.147360i
$891$	−68.2272	−	39.3910i	−2.28570	−	1.31965i
$892$	1.63310	−	0.437587i	0.0546802	−	0.0146515i
$893$	−12.4770	−	7.20362i	−0.417528	−	0.241060i
$894$	9.20784	−	9.20784i	0.307956	−	0.307956i
$895$	−15.6633	−	5.64924i	−0.523565	−	0.188833i
$896$	−29.5152	−	29.5152i	−0.986035	−	0.986035i
$897$	−10.9155	−	2.92479i	−0.364457	−	0.0976558i
$898$	4.49964	+	4.49964i	0.150155	+	0.150155i
$899$	−7.24014			−0.241472
$900$	−51.2433	−	42.4908i	−1.70811	−	1.41636i
$901$	5.50036	−	1.47382i	0.183244	−	0.0491000i
$902$		−	3.86139i		−	0.128570i
$903$	57.4845	+	99.5660i	1.91296	+	3.31335i
$904$	18.8125	−	10.8614i	0.625695	−	0.361245i
$905$	−0.107265	+	1.26869i	−0.00356561	+	0.0421727i
$906$	2.18471	+	8.15343i	0.0725820	+	0.270880i
$907$	13.8491	−	23.9873i	0.459851	−	0.796485i	−0.539102	−	0.842241i	$-0.681236\pi$
$907$	13.8491	−	23.9873i	0.459851	−	0.796485i	0.998953	+	0.0457555i	$0.0145695\pi$
$908$	16.2787	+	28.1955i	0.540227	+	0.935700i
$909$	30.7421	+	53.2468i	1.01965	+	1.76609i
$910$	2.07554	+	2.45892i	0.0688036	+	0.0815125i
$911$	−20.5971	−	20.5971i	−0.682413	−	0.682413i	0.278130	−	0.960543i	$-0.410285\pi$
$911$	−20.5971	−	20.5971i	−0.682413	−	0.682413i	−0.960543	+	0.278130i	$0.910285\pi$
$912$	−12.9056	−	7.45107i	−0.427348	−	0.246730i
$913$	31.1764	+	8.35369i	1.03179	+	0.276467i
$914$			7.93022i			0.262308i
$915$	−63.9269	+	91.8667i	−2.11336	+	3.03702i
$916$	−30.8821	+	17.8298i	−1.02037	+	0.589113i
$917$			17.2754i			0.570483i
$918$	−1.16638	−	4.35298i	−0.0384962	−	0.143670i
$919$	13.2406	+	13.2406i	0.436768	+	0.436768i	0.890923	−	0.454155i	$-0.150059\pi$
$919$	13.2406	+	13.2406i	0.436768	+	0.436768i	−0.454155	+	0.890923i	$0.650059\pi$
$920$	−15.3331	+	7.20452i	−0.505518	+	0.237526i
$921$	−19.5979	+	33.9445i	−0.645772	+	1.11851i
$922$	1.65006	+	6.15810i	0.0543418	+	0.202806i
$923$	−5.41137	+	3.12426i	−0.178117	+	0.102836i
$924$	−69.1386			−2.27449
$925$	−12.7840	−	27.5965i	−0.420337	−	0.907368i
$926$	−13.7104			−0.450551
$927$	−63.8838	+	36.8834i	−2.09822	+	1.21141i
$928$	1.65829	+	6.18881i	0.0544359	+	0.203158i
$929$	−3.42137	+	5.92598i	−0.112251	+	0.194425i	−0.916678	−	0.399627i	$-0.869140\pi$
$929$	−3.42137	+	5.92598i	−0.112251	+	0.194425i	0.804426	+	0.594052i	$0.202473\pi$
$930$	16.8220	−	7.90412i	0.551616	−	0.259186i
$931$	−8.35975	−	8.35975i	−0.273980	−	0.273980i
$932$	−3.39036	−	12.6530i	−0.111055	−	0.414462i
$933$			13.0092i			0.425903i
$934$	−5.46200	+	3.15349i	−0.178722	+	0.103185i
$935$	2.70612	−	3.88885i	0.0884994	−	0.127179i
$936$		−	10.8790i		−	0.355590i
$937$	−2.98236	−	0.799121i	−0.0974294	−	0.0261061i	0.209775	−	0.977750i	$-0.432727\pi$
$937$	−2.98236	−	0.799121i	−0.0974294	−	0.0261061i	−0.307204	+	0.951644i	$0.599394\pi$
$938$	8.99234	+	5.19173i	0.293610	+	0.169516i
$939$	27.6952	+	27.6952i	0.903798	+	0.903798i
$940$	21.8716	+	25.9115i	0.713372	+	0.845140i
$941$	−0.0235265	−	0.0407491i	−0.000766943	−	0.00132838i	0.865642	−	0.500664i	$-0.166911\pi$
$941$	−0.0235265	−	0.0407491i	−0.000766943	−	0.00132838i	−0.866409	+	0.499336i	$0.833577\pi$
$942$	−3.00814	−	5.21025i	−0.0980104	−	0.169759i
$943$	5.45963	−	9.45636i	0.177790	−	0.307941i
$944$	1.83215	+	6.83769i	0.0596315	+	0.222548i
$945$	−10.2308	+	121.007i	−0.332809	+	3.93634i
$946$	−12.3977	+	7.15780i	−0.403083	+	0.232720i
$947$	−10.7342	−	18.5922i	−0.348816	−	0.604166i	0.637224	−	0.770679i	$-0.280083\pi$
$947$	−10.7342	−	18.5922i	−0.348816	−	0.604166i	−0.986039	+	0.166512i	$0.946749\pi$
$948$		−	77.2978i		−	2.51051i
$949$	8.29362	−	2.22227i	0.269222	−	0.0721379i
$950$	3.95544	−	0.369339i	0.128331	−	0.0119830i
$951$	−24.4221			−0.791940
$952$	−3.10313	−	3.10313i	−0.100573	−	0.100573i
$953$	−43.4192	−	11.6341i	−1.40649	−	0.376867i	−0.525817	−	0.850598i	$-0.676240\pi$
$953$	−43.4192	−	11.6341i	−1.40649	−	0.376867i	−0.880670	+	0.473731i	$0.842907\pi$
$954$	−21.4500	−	21.4500i	−0.694469	−	0.694469i
$955$	−42.4325	−	15.3040i	−1.37308	−	0.495227i
$956$	−7.56718	+	7.56718i	−0.244740	+	0.244740i
$957$	11.9274	+	6.88629i	0.385558	+	0.222602i
$958$	12.6485	−	3.38915i	0.408654	−	0.109499i
$959$	−67.6580	−	39.0624i	−2.18479	−	1.26139i
$960$	14.8235	+	17.5616i	0.478426	+	0.566798i
$961$			1.17528i			0.0379124i
$962$	1.00656	−	2.11231i	0.0324527	−	0.0681037i
$963$	30.0943	+	30.0943i	0.969777	+	0.969777i
$964$	−9.29855	+	34.7026i	−0.299486	+	1.11770i
$965$	1.28744	+	2.74002i	0.0414443	+	0.0882043i
$966$	21.0306	+	12.1420i	0.676647	+	0.390662i
$967$	−3.06859	+	5.31495i	−0.0986791	+	0.170917i	−0.911138	−	0.412101i	$-0.864795\pi$
$967$	−3.06859	+	5.31495i	−0.0986791	+	0.170917i	0.812459	+	0.583018i	$0.198128\pi$
$968$			1.25350i			0.0402891i
$969$	−3.12980	−	1.80699i	−0.100544	−	0.0580489i
$970$	−2.33658	+	3.35781i	−0.0750231	+	0.107813i
$971$	19.3023	+	33.4325i	0.619440	+	1.07290i	0.989588	+	0.143928i	$0.0459735\pi$
$971$	19.3023	+	33.4325i	0.619440	+	1.07290i	−0.370148	+	0.928973i	$0.620693\pi$
$972$	45.2247	−	45.2247i	1.45058	−	1.45058i
$973$	−16.3143	+	16.3143i	−0.523012	+	0.523012i
$974$	3.32232	−	1.91814i	0.106454	−	0.0614612i
$975$	−7.66200	−	10.8076i	−0.245381	−	0.346121i
$976$	29.7647	−	29.7647i	0.952743	−	0.952743i
$977$	−16.6231	+	9.59737i	−0.531821	+	0.307047i	−0.741758	−	0.670668i	$-0.766008\pi$
$977$	−16.6231	+	9.59737i	−0.531821	+	0.307047i	0.209936	+	0.977715i	$0.432674\pi$
$978$	−1.24811	+	4.65800i	−0.0399101	+	0.148946i
$979$	−16.9621	−	4.54499i	−0.542113	−	0.145259i
$980$	11.8329	+	25.1835i	0.377987	+	0.804456i
$981$	−21.6192	+	5.79285i	−0.690248	+	0.184952i
$982$	7.96937	−	4.60112i	0.254313	−	0.146828i
$983$	−28.9018	−	7.74421i	−0.921824	−	0.247002i	−0.233459	−	0.972367i	$-0.575005\pi$
$983$	−28.9018	−	7.74421i	−0.921824	−	0.247002i	−0.688365	+	0.725365i	$0.741671\pi$
$984$	14.2241	+	3.81134i	0.453448	+	0.121501i
$985$	26.3762	−	4.73027i	0.840416	−	0.150719i
$986$	0.106514	+	0.397517i	0.00339211	+	0.0126595i
$987$	26.7221	−	99.7284i	0.850575	−	3.17439i
$988$	−1.73995	−	1.73995i	−0.0553552	−	0.0553552i
$989$	−40.4817			−1.28724
$990$	−25.1489	−	2.12628i	−0.799285	−	0.0675777i
$991$	13.2519	−	13.2519i	0.420962	−	0.420962i	−0.464573	−	0.885535i	$-0.653792\pi$
$991$	13.2519	−	13.2519i	0.420962	−	0.420962i	0.885535	+	0.464573i	$0.153792\pi$
$992$	−25.4939	+	6.83108i	−0.809433	+	0.216887i
$993$	92.4592			2.93410
$994$	12.9701	−	3.47532i	0.411386	−	0.110230i
$995$	10.0689	+	3.63154i	0.319207	+	0.115128i
$996$	−28.9729	+	50.1825i	−0.918042	+	1.59009i
$997$	14.0509	+	24.3369i	0.444997	+	0.770757i	0.998052	−	0.0623875i	$-0.0198715\pi$
$997$	14.0509	+	24.3369i	0.444997	+	0.770757i	−0.553055	+	0.833145i	$0.686538\pi$
$998$	−0.709211	+	0.709211i	−0.0224497	+	0.0224497i
$999$	83.2300	−	29.5082i	2.63328	−	0.933597i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	185.2.u.a.8.11	yes	68
5.2	odd	4		185.2.p.a.82.11	✓	68
5.3	odd	4		925.2.t.b.82.7		68
5.4	even	2		925.2.y.b.193.7		68
37.14	odd	12		185.2.p.a.88.11	yes	68
185.14	odd	12		925.2.t.b.643.7		68
185.88	even	12		925.2.y.b.532.7		68
185.162	even	12	inner	185.2.u.a.162.11	yes	68

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
185.2.p.a.82.11	✓	68	5.2	odd	4
185.2.p.a.88.11	yes	68	37.14	odd	12
185.2.u.a.8.11	yes	68	1.1	even	1	trivial
185.2.u.a.162.11	yes	68	185.162	even	12	inner
925.2.t.b.82.7		68	5.3	odd	4
925.2.t.b.643.7		68	185.14	odd	12
925.2.y.b.193.7		68	5.4	even	2
925.2.y.b.532.7		68	185.88	even	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:	\( N \)	\(=\)	\( 185 = 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	185.u (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.407096 - 0.235037i) q^{2} +(-0.838017 - 3.12752i) q^{3} +(-0.889515 + 1.54069i) q^{4} +(-2.02380 + 0.950915i) q^{5} +(-1.07624 - 1.07624i) q^{6} +(-0.968227 - 3.61347i) q^{7} +1.77643i q^{8} +(-6.48105 + 3.74183i) q^{9} +O(q^{10})\)	\(q+(0.407096 - 0.235037i) q^{2} +(-0.838017 - 3.12752i) q^{3} +(-0.889515 + 1.54069i) q^{4} +(-2.02380 + 0.950915i) q^{5} +(-1.07624 - 1.07624i) q^{6} +(-0.968227 - 3.61347i) q^{7} +1.77643i q^{8} +(-6.48105 + 3.74183i) q^{9} +(-0.600381 + 0.862782i) q^{10} -3.20848i q^{11} +(5.56396 + 1.49086i) q^{12} +(0.708690 + 0.409162i) q^{13} +(-1.24346 - 1.24346i) q^{14} +(4.66999 + 5.53259i) q^{15} +(-1.36150 - 2.35819i) q^{16} +(-0.330184 - 0.571896i) q^{17} +(-1.75894 + 3.04657i) q^{18} +(0.437461 + 1.63263i) q^{19} +(0.335138 - 3.96389i) q^{20} +(-10.4898 + 6.05630i) q^{21} +(-0.754113 - 1.30616i) q^{22} -4.26497i q^{23} +(5.55581 - 1.48867i) q^{24} +(3.19152 - 3.84892i) q^{25} +0.384673 q^{26} +(10.2654 + 10.2654i) q^{27} +(6.42847 + 1.72250i) q^{28} +(-0.937440 - 0.937440i) q^{29} +(3.20150 + 1.15468i) q^{30} +(3.86165 - 3.86165i) q^{31} +(-4.18539 - 2.41643i) q^{32} +(-10.0346 + 2.68876i) q^{33} +(-0.268834 - 0.155211i) q^{34} +(5.39560 + 6.39224i) q^{35} -13.3137i q^{36} +(2.61665 - 5.49119i) q^{37} +(0.561817 + 0.561817i) q^{38} +(0.685770 - 2.55933i) q^{39} +(-1.68923 - 3.59513i) q^{40} +(2.21722 + 1.28011i) q^{41} +(-2.84691 + 4.93100i) q^{42} -9.49168i q^{43} +(4.94326 + 2.85399i) q^{44} +(9.55816 - 13.7356i) q^{45} +(-1.00243 - 1.73625i) q^{46} +(-6.02730 + 6.02730i) q^{47} +(-6.23434 + 6.23434i) q^{48} +(-6.05753 + 3.49732i) q^{49} +(0.394617 - 2.31701i) q^{50} +(-1.51192 + 1.51192i) q^{51} +(-1.26078 + 0.727912i) q^{52} +(-2.23181 + 8.32923i) q^{53} +(6.59175 + 1.76625i) q^{54} +(3.05100 + 6.49332i) q^{55} +(6.41906 - 1.71998i) q^{56} +(4.73948 - 2.73634i) q^{57} +(-0.601962 - 0.161295i) q^{58} +(-2.51108 - 0.672842i) q^{59} +(-12.6780 + 2.27366i) q^{60} +(4.00095 + 14.9318i) q^{61} +(0.664433 - 2.47970i) q^{62} +(19.7961 + 19.7961i) q^{63} +3.17421 q^{64} +(-1.82332 - 0.154158i) q^{65} +(-3.45309 + 3.45309i) q^{66} +(-5.70346 + 1.52824i) q^{67} +1.17482 q^{68} +(-13.3388 + 3.57412i) q^{69} +(3.69894 + 1.33409i) q^{70} +(-3.81787 + 6.61274i) q^{71} +(-6.64709 - 11.5131i) q^{72} +(7.41925 - 7.41925i) q^{73} +(-0.225403 - 2.85045i) q^{74} +(-14.7121 - 6.75609i) q^{75} +(-2.90449 - 0.778256i) q^{76} +(-11.5938 + 3.10654i) q^{77} +(-0.322363 - 1.20307i) q^{78} +(-3.47315 - 12.9620i) q^{79} +(4.99785 + 3.47783i) q^{80} +(12.2771 - 21.2646i) q^{81} +1.20349 q^{82} +(-2.60362 + 9.71686i) q^{83} -21.5487i q^{84} +(1.21205 + 0.843425i) q^{85} +(-2.23090 - 3.86403i) q^{86} +(-2.14627 + 3.71746i) q^{87} +5.69963 q^{88} +(1.41656 - 5.28666i) q^{89} +(0.662707 - 7.83826i) q^{90} +(0.792323 - 2.95699i) q^{91} +(6.57098 + 3.79376i) q^{92} +(-15.3135 - 8.84127i) q^{93} +(-1.03705 + 3.87033i) q^{94} +(-2.43782 - 2.88812i) q^{95} +(-4.05003 + 15.1149i) q^{96} +3.89183 q^{97} +(-1.64400 + 2.84749i) q^{98} +(12.0056 + 20.7943i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 68 q - 6 q^{2} - 4 q^{3} + 30 q^{4} - 8 q^{6} - 2 q^{7}+O(q^{10}) \) 68 * q - 6 * q^2 - 4 * q^3 + 30 * q^4 - 8 * q^6 - 2 * q^7	\( 68 q - 6 q^{2} - 4 q^{3} + 30 q^{4} - 8 q^{6} - 2 q^{7} - 6 q^{10} - 10 q^{12} - 6 q^{13} - 16 q^{15} - 26 q^{16} - 10 q^{17} - 8 q^{18} - 4 q^{19} - 28 q^{20} - 12 q^{21} - 14 q^{22} + 20 q^{25} - 24 q^{26} + 68 q^{27} + 14 q^{28} - 14 q^{29} + 26 q^{30} - 24 q^{31} + 18 q^{32} + 10 q^{33} - 22 q^{35} - 18 q^{37} - 36 q^{38} - 52 q^{39} + 84 q^{40} - 18 q^{41} - 40 q^{42} + 36 q^{44} - 66 q^{45} - 52 q^{46} - 24 q^{47} + 60 q^{48} + 36 q^{49} - 12 q^{50} - 8 q^{51} - 78 q^{52} - 38 q^{53} - 40 q^{54} + 6 q^{55} + 16 q^{56} + 90 q^{57} + 16 q^{58} + 8 q^{59} - 52 q^{60} + 4 q^{61} - 22 q^{62} - 48 q^{63} + 20 q^{64} - 20 q^{65} + 80 q^{66} - 56 q^{67} - 20 q^{68} - 8 q^{69} + 62 q^{70} + 4 q^{71} + 32 q^{72} + 60 q^{73} + 44 q^{74} + 64 q^{75} + 72 q^{76} + 6 q^{77} - 24 q^{78} - 56 q^{79} - 76 q^{80} - 6 q^{81} - 8 q^{82} + 12 q^{83} + 20 q^{85} - 4 q^{86} - 32 q^{87} - 36 q^{88} + 22 q^{89} - 74 q^{90} + 44 q^{91} + 156 q^{92} - 30 q^{93} + 20 q^{94} + 28 q^{95} - 8 q^{96} + 16 q^{97} + 48 q^{98} - 32 q^{99}+O(q^{100}) \) 68 * q - 6 * q^2 - 4 * q^3 + 30 * q^4 - 8 * q^6 - 2 * q^7 - 6 * q^10 - 10 * q^12 - 6 * q^13 - 16 * q^15 - 26 * q^16 - 10 * q^17 - 8 * q^18 - 4 * q^19 - 28 * q^20 - 12 * q^21 - 14 * q^22 + 20 * q^25 - 24 * q^26 + 68 * q^27 + 14 * q^28 - 14 * q^29 + 26 * q^30 - 24 * q^31 + 18 * q^32 + 10 * q^33 - 22 * q^35 - 18 * q^37 - 36 * q^38 - 52 * q^39 + 84 * q^40 - 18 * q^41 - 40 * q^42 + 36 * q^44 - 66 * q^45 - 52 * q^46 - 24 * q^47 + 60 * q^48 + 36 * q^49 - 12 * q^50 - 8 * q^51 - 78 * q^52 - 38 * q^53 - 40 * q^54 + 6 * q^55 + 16 * q^56 + 90 * q^57 + 16 * q^58 + 8 * q^59 - 52 * q^60 + 4 * q^61 - 22 * q^62 - 48 * q^63 + 20 * q^64 - 20 * q^65 + 80 * q^66 - 56 * q^67 - 20 * q^68 - 8 * q^69 + 62 * q^70 + 4 * q^71 + 32 * q^72 + 60 * q^73 + 44 * q^74 + 64 * q^75 + 72 * q^76 + 6 * q^77 - 24 * q^78 - 56 * q^79 - 76 * q^80 - 6 * q^81 - 8 * q^82 + 12 * q^83 + 20 * q^85 - 4 * q^86 - 32 * q^87 - 36 * q^88 + 22 * q^89 - 74 * q^90 + 44 * q^91 + 156 * q^92 - 30 * q^93 + 20 * q^94 + 28 * q^95 - 8 * q^96 + 16 * q^97 + 48 * q^98 - 32 * q^99

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