LMFDB - Embedded newform 153.2.n.a.106.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [153,2,Mod(4,153)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(153, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 9]))

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

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

chi := DirichletCharacter("153.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 153 = 3^{2} \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	153.n (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:	$1.22171115093$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$16$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			106.15
Character	$\chi$	$=$	153.106
Dual form			153.2.n.a.13.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.07111 + 1.19576i) q^{2} +(0.641087 - 1.60904i) q^{3} +(1.85966 + 3.22103i) q^{4} +(-0.854845 - 0.229055i) q^{5} +(3.25178 - 2.56591i) q^{6} +(-2.38596 + 0.639316i) q^{7} +4.11179i q^{8} +(-2.17801 - 2.06307i) q^{9} +O(q^{10})$	\(q+(2.07111 + 1.19576i) q^{2} +(0.641087 - 1.60904i) q^{3} +(1.85966 + 3.22103i) q^{4} +(-0.854845 - 0.229055i) q^{5} +(3.25178 - 2.56591i) q^{6} +(-2.38596 + 0.639316i) q^{7} +4.11179i q^{8} +(-2.17801 - 2.06307i) q^{9} +(-1.49658 - 1.49658i) q^{10} +(-2.06432 + 0.553133i) q^{11} +(6.37497 - 0.927309i) q^{12} +(0.147179 + 0.254921i) q^{13} +(-5.70605 - 1.52893i) q^{14} +(-0.916589 + 1.22863i) q^{15} +(-1.19737 + 2.07391i) q^{16} +(3.94406 + 1.20183i) q^{17} +(-2.04398 - 6.87722i) q^{18} +6.94854i q^{19} +(-0.851931 - 3.17945i) q^{20} +(-0.500924 + 4.24896i) q^{21} +(-4.93685 - 1.32282i) q^{22} +(1.67723 - 6.25950i) q^{23} +(6.61603 + 2.63602i) q^{24} +(-3.65183 - 2.10839i) q^{25} +0.703959i q^{26} +(-4.71586 + 2.18190i) q^{27} +(-6.49634 - 6.49634i) q^{28} +(-0.853904 - 3.18681i) q^{29} +(-3.36750 + 1.44862i) q^{30} +(3.61311 + 0.968131i) q^{31} +(2.16206 - 1.24826i) q^{32} +(-0.433397 + 3.67618i) q^{33} +(6.73149 + 7.20525i) q^{34} +2.18606 q^{35} +(2.59484 - 10.8521i) q^{36} +(-1.49781 + 1.49781i) q^{37} +(-8.30876 + 14.3912i) q^{38} +(0.504532 - 0.0733896i) q^{39} +(0.941827 - 3.51495i) q^{40} +(1.90726 - 7.11801i) q^{41} +(-6.11819 + 8.20108i) q^{42} +(9.64376 + 5.56783i) q^{43} +(-5.62060 - 5.62060i) q^{44} +(1.38931 + 2.26249i) q^{45} +(10.9586 - 10.9586i) q^{46} +(-3.03477 + 5.25638i) q^{47} +(2.56938 + 3.25618i) q^{48} +(-0.778101 + 0.449237i) q^{49} +(-5.04223 - 8.73340i) q^{50} +(4.46228 - 5.57567i) q^{51} +(-0.547406 + 0.948134i) q^{52} -10.6130i q^{53} +(-12.3761 - 1.12006i) q^{54} +1.89137 q^{55} +(-2.62873 - 9.81057i) q^{56} +(11.1805 + 4.45462i) q^{57} +(2.04212 - 7.62130i) q^{58} +(-5.41473 + 3.12619i) q^{59} +(-5.66202 - 0.667515i) q^{60} +(9.22562 - 2.47200i) q^{61} +(6.32551 + 6.32551i) q^{62} +(6.51561 + 3.52996i) q^{63} +10.7600 q^{64} +(-0.0674240 - 0.251630i) q^{65} +(-5.29343 + 7.09553i) q^{66} +(-0.110338 - 0.191110i) q^{67} +(3.46350 + 14.9389i) q^{68} +(-8.99653 - 6.71161i) q^{69} +(4.52758 + 2.61400i) q^{70} +(-7.53881 + 7.53881i) q^{71} +(8.48291 - 8.95554i) q^{72} +(-9.37016 + 9.37016i) q^{73} +(-4.89316 + 1.31112i) q^{74} +(-5.73362 + 4.52428i) q^{75} +(-22.3815 + 12.9220i) q^{76} +(4.57176 - 2.63951i) q^{77} +(1.13270 + 0.451299i) q^{78} +(-10.8493 + 2.90706i) q^{79} +(1.49861 - 1.49861i) q^{80} +(0.487488 + 8.98679i) q^{81} +(12.4616 - 12.4616i) q^{82} +(2.97094 + 1.71527i) q^{83} +(-14.6176 + 6.28814i) q^{84} +(-3.09628 - 1.93078i) q^{85} +(13.3155 + 23.0632i) q^{86} +(-5.67513 - 0.669061i) q^{87} +(-2.27437 - 8.48806i) q^{88} +7.17123 q^{89} +(0.172024 + 6.34714i) q^{90} +(-0.514137 - 0.514137i) q^{91} +(23.2811 - 6.23816i) q^{92} +(3.87408 - 5.19298i) q^{93} +(-12.5707 + 7.25769i) q^{94} +(1.59160 - 5.93993i) q^{95} +(-0.622438 - 4.27908i) q^{96} +(2.36860 + 8.83975i) q^{97} -2.14871 q^{98} +(5.63727 + 3.05411i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/153\mathbb{Z}\right)^\times$.

$n$	$37$	$137$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	2.07111	+	1.19576i	1.46450	+	0.845527i	0.999214	−	0.0396357i	$-0.0126197\pi$
$2$	2.07111	+	1.19576i	1.46450	+	0.845527i	0.465282	+	0.885163i	$0.345953\pi$
$3$	0.641087	−	1.60904i	0.370132	−	0.928979i
$3$	0.641087	−	1.60904i	0.370132	−	0.928979i
$4$	1.85966	+	3.22103i	0.929832	+	1.61052i
$5$	−0.854845	−	0.229055i	−0.382298	−	0.102437i	0.0625514	−	0.998042i	$-0.480076\pi$
$5$	−0.854845	−	0.229055i	−0.382298	−	0.102437i	−0.444850	+	0.895605i	$0.646743\pi$
$6$	3.25178	−	2.56591i	1.32753	−	1.04753i
$7$	−2.38596	+	0.639316i	−0.901808	+	0.241639i	−0.679792	−	0.733405i	$-0.737930\pi$
$7$	−2.38596	+	0.639316i	−0.901808	+	0.241639i	−0.222015	+	0.975043i	$0.571263\pi$
$8$			4.11179i			1.45374i
$9$	−2.17801	−	2.06307i	−0.726005	−	0.687690i
$10$	−1.49658	−	1.49658i	−0.473261	−	0.473261i
$11$	−2.06432	+	0.553133i	−0.622416	+	0.166776i	−0.556226	−	0.831031i	$-0.687751\pi$
$11$	−2.06432	+	0.553133i	−0.622416	+	0.166776i	−0.0661902	+	0.997807i	$0.521084\pi$
$12$	6.37497	−	0.927309i	1.84030	−	0.267691i
$13$	0.147179	+	0.254921i	0.0408200	+	0.0707023i	0.885714	−	0.464232i	$-0.153670\pi$
$13$	0.147179	+	0.254921i	0.0408200	+	0.0707023i	−0.844894	+	0.534934i	$0.820336\pi$
$14$	−5.70605	−	1.52893i	−1.52501	−	0.408624i
$15$	−0.916589	+	1.22863i	−0.236662	+	0.317232i
$16$	−1.19737	+	2.07391i	−0.299343	+	0.518477i
$17$	3.94406	+	1.20183i	0.956575	+	0.291486i
$17$	3.94406	+	1.20183i	0.956575	+	0.291486i
$18$	−2.04398	−	6.87722i	−0.481770	−	1.62098i
$19$			6.94854i			1.59410i	0.603910	+	0.797052i	$0.293609\pi$
$19$			6.94854i			1.59410i	−0.603910	+	0.797052i	$0.706391\pi$
$20$	−0.851931	−	3.17945i	−0.190498	−	0.710946i
$21$	−0.500924	+	4.24896i	−0.109311	+	0.927199i
$22$	−4.93685	−	1.32282i	−1.05254	−	0.282027i
$23$	1.67723	−	6.25950i	0.349726	−	1.30520i	−0.537267	−	0.843412i	$-0.680543\pi$
$23$	1.67723	−	6.25950i	0.349726	−	1.30520i	0.886993	−	0.461783i	$-0.152790\pi$
$24$	6.61603	+	2.63602i	1.35049	+	0.538075i
$25$	−3.65183	−	2.10839i	−0.730367	−	0.421677i
$26$			0.703959i			0.138058i
$27$	−4.71586	+	2.18190i	−0.907567	+	0.419907i
$28$	−6.49634	−	6.49634i	−1.22769	−	1.22769i
$29$	−0.853904	−	3.18681i	−0.158566	−	0.591776i	−0.998774	−	0.0495113i	$-0.984234\pi$
$29$	−0.853904	−	3.18681i	−0.158566	−	0.591776i	0.840208	−	0.542265i	$-0.182433\pi$
$30$	−3.36750	+	1.44862i	−0.614819	+	0.264481i
$31$	3.61311	+	0.968131i	0.648934	+	0.173881i	0.568247	−	0.822858i	$-0.307622\pi$
$31$	3.61311	+	0.968131i	0.648934	+	0.173881i	0.0806873	+	0.996739i	$0.474288\pi$
$32$	2.16206	−	1.24826i	0.382201	−	0.220664i
$33$	−0.433397	+	3.67618i	−0.0754448	+	0.639941i
$34$	6.73149	+	7.20525i	1.15444	+	1.23569i
$35$	2.18606			0.369512
$36$	2.59484	−	10.8521i	0.432473	−	1.80868i
$37$	−1.49781	+	1.49781i	−0.246239	+	0.246239i	−0.819425	−	0.573186i	$-0.805707\pi$
$37$	−1.49781	+	1.49781i	−0.246239	+	0.246239i	0.573186	+	0.819425i	$0.305707\pi$
$38$	−8.30876	+	14.3912i	−1.34786	+	2.33456i
$39$	0.504532	−	0.0733896i	0.0807898	−	0.0117517i
$40$	0.941827	−	3.51495i	0.148916	−	0.555762i
$41$	1.90726	−	7.11801i	0.297865	−	1.11165i	−0.641051	−	0.767498i	$-0.721501\pi$
$41$	1.90726	−	7.11801i	0.297865	−	1.11165i	0.938916	−	0.344148i	$-0.111832\pi$
$42$	−6.11819	+	8.20108i	−0.944057	+	1.26545i
$43$	9.64376	+	5.56783i	1.47066	+	0.849086i	0.999457	−	0.0329396i	$-0.0104869\pi$
$43$	9.64376	+	5.56783i	1.47066	+	0.849086i	0.471202	+	0.882025i	$0.343820\pi$
$44$	−5.62060	−	5.62060i	−0.847338	−	0.847338i
$45$	1.38931	+	2.26249i	0.207106	+	0.337272i
$46$	10.9586	−	10.9586i	1.61575	−	1.61575i
$47$	−3.03477	+	5.25638i	−0.442667	+	0.766722i	−0.997886	−	0.0649820i	$-0.979301\pi$
$47$	−3.03477	+	5.25638i	−0.442667	+	0.766722i	0.555219	+	0.831704i	$0.312634\pi$
$48$	2.56938	+	3.25618i	0.370858	+	0.469988i
$49$	−0.778101	+	0.449237i	−0.111157	+	0.0641767i
$50$	−5.04223	−	8.73340i	−0.713079	−	1.23509i
$51$	4.46228	−	5.57567i	0.624844	−	0.780750i
$52$	−0.547406	+	0.948134i	−0.0759115	+	0.131483i
$53$		−	10.6130i		−	1.45781i	−0.684617	−	0.728903i	$-0.740030\pi$
$53$		−	10.6130i		−	1.45781i	0.684617	−	0.728903i	$-0.259970\pi$
$54$	−12.3761	−	1.12006i	−1.68417	−	0.152420i
$55$	1.89137			0.255033
$56$	−2.62873	−	9.81057i	−0.351279	−	1.31099i
$57$	11.1805	+	4.45462i	1.48089	+	0.590029i
$58$	2.04212	−	7.62130i	0.268144	−	1.00073i
$59$	−5.41473	+	3.12619i	−0.704937	+	0.406996i	−0.809184	−	0.587556i	$-0.800090\pi$
$59$	−5.41473	+	3.12619i	−0.704937	+	0.406996i	0.104246	+	0.994552i	$0.466757\pi$
$60$	−5.66202	−	0.667515i	−0.730964	−	0.0861758i
$61$	9.22562	−	2.47200i	1.18122	−	0.316507i	0.385809	−	0.922579i	$-0.373922\pi$
$61$	9.22562	−	2.47200i	1.18122	−	0.316507i	0.795410	+	0.606072i	$0.207256\pi$
$62$	6.32551	+	6.32551i	0.803340	+	0.803340i
$63$	6.51561	+	3.52996i	0.820889	+	0.444733i
$64$	10.7600			1.34500
$65$	−0.0674240	−	0.251630i	−0.00836292	−	0.0312108i
$66$	−5.29343	+	7.09553i	−0.651576	+	0.873400i
$67$	−0.110338	−	0.191110i	−0.0134799	−	0.0233478i	0.859207	−	0.511628i	$-0.170958\pi$
$67$	−0.110338	−	0.191110i	−0.0134799	−	0.0233478i	−0.872687	+	0.488281i	$0.837624\pi$
$68$	3.46350	+	14.9389i	0.420011	+	1.81161i
$69$	−8.99653	−	6.71161i	−1.08305	−	0.807983i
$70$	4.52758	+	2.61400i	0.541149	+	0.312433i
$71$	−7.53881	+	7.53881i	−0.894693	+	0.894693i	−0.994960	−	0.100268i	$-0.968030\pi$
$71$	−7.53881	+	7.53881i	−0.894693	+	0.894693i	0.100268	+	0.994960i	$0.468030\pi$
$72$	8.48291	−	8.95554i	0.999721	−	1.05542i
$73$	−9.37016	+	9.37016i	−1.09669	+	1.09669i	−0.101899	+	0.994795i	$0.532492\pi$
$73$	−9.37016	+	9.37016i	−1.09669	+	1.09669i	−0.994795	+	0.101899i	$0.967508\pi$
$74$	−4.89316	+	1.31112i	−0.568818	+	0.152414i
$75$	−5.73362	+	4.52428i	−0.662062	+	0.522419i
$76$	−22.3815	+	12.9220i	−2.56733	+	1.48225i
$77$	4.57176	−	2.63951i	0.521000	−	0.300800i
$78$	1.13270	+	0.451299i	0.128253	+	0.0510996i
$79$	−10.8493	+	2.90706i	−1.22064	+	0.327070i	−0.810929	−	0.585145i	$-0.801038\pi$
$79$	−10.8493	+	2.90706i	−1.22064	+	0.327070i	−0.409712	+	0.912215i	$0.634371\pi$
$80$	1.49861	−	1.49861i	0.167549	−	0.167549i
$81$	0.487488	+	8.98679i	0.0541653	+	0.998532i
$82$	12.4616	−	12.4616i	1.37615	−	1.37615i
$83$	2.97094	+	1.71527i	0.326103	+	0.188276i	0.654110	−	0.756400i	$-0.273044\pi$
$83$	2.97094	+	1.71527i	0.326103	+	0.188276i	−0.328007	+	0.944675i	$0.606377\pi$
$84$	−14.6176	+	6.28814i	−1.59491	+	0.686093i
$85$	−3.09628	−	1.93078i	−0.335838	−	0.209423i
$86$	13.3155	+	23.0632i	1.43585	+	2.48696i
$87$	−5.67513	−	0.669061i	−0.608438	−	0.0717308i
$88$	−2.27437	−	8.48806i	−0.242448	−	0.904830i
$89$	7.17123			0.760149			0.380074	−	0.924956i	$-0.375898\pi$
$89$	7.17123			0.760149			0.380074	+	0.924956i	$0.375898\pi$
$90$	0.172024	+	6.34714i	0.0181329	+	0.669047i
$91$	−0.514137	−	0.514137i	−0.0538962	−	0.0538962i
$92$	23.2811	−	6.23816i	2.42722	−	0.650373i
$93$	3.87408	−	5.19298i	0.401724	−	0.538487i
$94$	−12.5707	+	7.25769i	−1.29657	+	0.748574i
$95$	1.59160	−	5.93993i	0.163295	−	0.609424i
$96$	−0.622438	−	4.27908i	−0.0635273	−	0.436732i
$97$	2.36860	+	8.83975i	0.240495	+	0.897541i	0.975594	+	0.219581i	$0.0704690\pi$
$97$	2.36860	+	8.83975i	0.240495	+	0.897541i	−0.735099	+	0.677960i	$0.762864\pi$
$98$	−2.14871			−0.217053
$99$	5.63727	+	3.05411i	0.566567	+	0.306949i
$100$		−	15.6836i		−	1.56836i
$101$	7.72862	−	13.3864i	0.769026	−	1.33199i	−0.169065	−	0.985605i	$-0.554075\pi$
$101$	7.72862	−	13.3864i	0.769026	−	1.33199i	0.938091	−	0.346388i	$-0.112592\pi$
$102$	15.9090	−	6.21203i	1.57523	−	0.615083i
$103$	−3.90560	−	6.76471i	−0.384831	−	0.666546i	0.606915	−	0.794767i	$-0.292407\pi$
$103$	−3.90560	−	6.76471i	−0.384831	−	0.666546i	−0.991746	+	0.128220i	$0.959073\pi$
$104$	−1.04818	+	0.605168i	−0.102783	+	0.0593416i
$105$	1.40146	−	3.51746i	0.136768	−	0.343269i
$106$	12.6905	−	21.9807i	1.23261	−	2.13495i
$107$	1.03432	−	1.03432i	0.0999914	−	0.0999914i	−0.655341	−	0.755333i	$-0.727475\pi$
$107$	1.03432	−	1.03432i	0.0999914	−	0.0999914i	0.755333	+	0.655341i	$0.227475\pi$
$108$	−15.7979	−	11.1323i	−1.52015	−	1.07121i
$109$	−3.52238	−	3.52238i	−0.337383	−	0.337383i	0.517998	−	0.855382i	$-0.326677\pi$
$109$	−3.52238	−	3.52238i	−0.337383	−	0.337383i	−0.855382	+	0.517998i	$0.826677\pi$
$110$	3.91724	+	2.26162i	0.373494	+	0.215637i
$111$	1.44981	+	3.37027i	0.137610	+	0.319892i
$112$	1.53100	−	5.71376i	0.144666	−	0.539900i
$113$	−2.47345	+	9.23103i	−0.232682	+	0.868382i	0.746498	+	0.665388i	$0.231734\pi$
$113$	−2.47345	+	9.23103i	−0.232682	+	0.868382i	−0.979180	+	0.202994i	$0.934933\pi$
$114$	17.8294	+	22.5951i	1.66987	+	2.11623i
$115$	−2.86754	+	4.96672i	−0.267399	+	0.463149i
$116$	8.67685	−	8.67685i	0.805625	−	0.805625i
$117$	0.205362	−	0.858861i	0.0189858	−	0.0794017i
$118$	−14.9527			−1.37650
$119$	−10.1787	−	0.346012i	−0.933081	−	0.0317189i
$120$	−5.05189	−	3.76882i	−0.461173	−	0.344045i
$121$	−5.57082	+	3.21631i	−0.506438	+	0.292392i
$122$	22.0632	+	5.91181i	1.99751	+	0.535230i
$123$	−10.2304	−	7.63213i	−0.922447	−	0.688166i
$124$	3.60080	+	13.4384i	0.323361	+	1.20680i
$125$	5.76777	+	5.76777i	0.515885	+	0.515885i
$126$	9.27356	+	15.1020i	0.826155	+	1.34539i
$127$		−	9.07047i		−	0.804875i	−0.915448	−	0.402437i	$-0.868163\pi$
$127$		−	9.07047i		−	0.804875i	0.915448	−	0.402437i	$-0.131837\pi$
$128$	17.9610	+	10.3698i	1.58754	+	0.916566i
$129$	15.1413	−	11.9477i	1.33312	−	1.05194i
$130$	0.161245	−	0.601776i	0.0141421	−	0.0527792i
$131$	−12.3044	−	3.29694i	−1.07504	−	0.288055i	−0.322476	−	0.946578i	$-0.604515\pi$
$131$	−12.3044	−	3.29694i	−1.07504	−	0.288055i	−0.752561	+	0.658522i	$0.771182\pi$
$132$	−12.6471	+	5.44047i	−1.10079	+	0.473532i
$133$	−4.44231	−	16.5789i	−0.385197	−	1.43758i
$134$		−	0.527747i		−	0.0455904i
$135$	4.53110	−	0.784997i	0.389975	−	0.0675618i
$136$	−4.94167	+	16.2172i	−0.423744	+	1.39061i
$137$	2.76675	−	4.79216i	0.236380	−	0.409422i	−0.723293	−	0.690541i	$-0.757372\pi$
$137$	2.76675	−	4.79216i	0.236380	−	0.409422i	0.959673	+	0.281119i	$0.0907057\pi$
$138$	−10.6073	−	24.6581i	−0.902957	−	2.09904i
$139$	14.5419	+	3.89650i	1.23343	+	0.330497i	0.815914	−	0.578173i	$-0.196234\pi$
$139$	14.5419	+	3.89650i	1.23343	+	0.330497i	0.417516	+	0.908669i	$0.362901\pi$
$140$	4.06534	+	7.04138i	0.343584	+	0.595105i
$141$	6.51217	+	8.25287i	0.548423	+	0.695017i
$142$	−24.6283	+	6.59913i	−2.06676	+	0.553787i
$143$	−0.444829	−	0.444829i	−0.0371985	−	0.0371985i
$144$	6.88651	−	2.04674i	0.573876	−	0.170562i
$145$			2.91982i			0.242478i
$146$	−30.6110	+	8.20221i	−2.53339	+	0.678819i
$147$	0.224009	+	1.54000i	0.0184759	+	0.127017i
$148$	−7.60994	−	2.03908i	−0.625533	−	0.167611i
$149$	−5.37799	−	9.31495i	−0.440582	−	0.763110i	0.557151	−	0.830411i	$-0.311895\pi$
$149$	−5.37799	−	9.31495i	−0.440582	−	0.763110i	−0.997733	+	0.0673010i	$0.978561\pi$
$150$	−17.2849	+	2.51427i	−1.41131	+	0.205290i
$151$	−12.8919	−	7.44316i	−1.04913	−	0.605716i	−0.126725	−	0.991938i	$-0.540447\pi$
$151$	−12.8919	−	7.44316i	−1.04913	−	0.605716i	−0.922406	+	0.386222i	$0.873780\pi$
$152$	−28.5710			−2.31741
$153$	−6.11076	−	10.7545i	−0.494026	−	0.869447i
$154$	12.6248			1.01734
$155$	−2.86690	−	1.65520i	−0.230275	−	0.132949i
$156$	1.17465	+	1.48863i	0.0940473	+	0.119186i
$157$	−2.16855	−	3.75605i	−0.173069	−	0.299765i	0.766422	−	0.642337i	$-0.222035\pi$
$157$	−2.16855	−	3.75605i	−0.173069	−	0.299765i	−0.939491	+	0.342572i	$0.888702\pi$
$158$	−25.9462	−	6.95227i	−2.06417	−	0.553093i
$159$	−17.0767	−	6.80385i	−1.35427	−	0.539581i
$160$	−2.13414	+	0.571842i	−0.168719	+	0.0452081i
$161$			16.0072i			1.26154i
$162$	−9.73636	+	19.1955i	−0.764961	+	1.50814i
$163$	−2.07729	−	2.07729i	−0.162706	−	0.162706i	0.621059	−	0.783764i	$-0.286703\pi$
$163$	−2.07729	−	2.07729i	−0.162706	−	0.162706i	−0.783764	+	0.621059i	$0.786703\pi$
$164$	26.4742	−	7.09374i	2.06729	−	0.553928i
$165$	1.21253	−	3.04329i	0.0943957	−	0.236920i
$166$	4.10209	+	7.10504i	0.318384	+	0.551458i
$167$	−1.70278	−	0.456259i	−0.131765	−	0.0353064i	0.192334	−	0.981330i	$-0.438394\pi$
$167$	−1.70278	−	0.456259i	−0.131765	−	0.0353064i	−0.324099	+	0.946023i	$0.605061\pi$
$168$	−17.4708	−	2.05970i	−1.34790	−	0.158909i
$169$	6.45668	−	11.1833i	0.496667	−	0.860253i
$170$	−4.10398	−	7.70125i	−0.314761	−	0.590659i
$171$	14.3353	−	15.1340i	1.09625	−	1.15733i
$172$			41.4171i			3.15803i
$173$	2.25023	+	8.39796i	0.171082	+	0.638485i	0.997186	+	0.0749680i	$0.0238855\pi$
$173$	2.25023	+	8.39796i	0.171082	+	0.638485i	−0.826104	+	0.563517i	$0.809448\pi$
$174$	−10.9538	−	8.17177i	−0.830405	−	0.619500i
$175$	10.0610	+	2.69585i	0.760544	+	0.203787i
$176$	1.32461	−	4.94352i	0.0998464	−	0.372632i
$177$	1.55886	+	10.7167i	0.117171	+	0.805514i
$178$	14.8524	+	8.57504i	1.11323	+	0.642726i
$179$		−	9.76156i		−	0.729613i	−0.931083	−	0.364807i	$-0.881135\pi$
$179$		−	9.76156i		−	0.729613i	0.931083	−	0.364807i	$-0.118865\pi$
$180$	−4.70391	+	8.68248i	−0.350609	+	0.647154i
$181$	−3.58567	−	3.58567i	−0.266521	−	0.266521i	0.561176	−	0.827697i	$-0.310349\pi$
$181$	−3.58567	−	3.58567i	−0.266521	−	0.266521i	−0.827697	+	0.561176i	$0.810349\pi$
$182$	−0.450052	−	1.67962i	−0.0333601	−	0.124501i
$183$	1.93689	−	16.4291i	0.143179	−	1.21448i
$184$	25.7378	+	6.89641i	1.89741	+	0.508410i
$185$	1.62348	−	0.937318i	0.119361	−	0.0689130i
$186$	14.2332	−	6.12278i	1.04363	−	0.448944i
$187$	−8.80657	−	0.299368i	−0.644001	−	0.0218920i
$188$	−22.5746			−1.64642
$189$	9.85692	−	8.22085i	0.716985	−	0.597979i
$190$	10.3991	−	10.3991i	0.754428	−	0.754428i
$191$	−9.84003	+	17.0434i	−0.712000	+	1.23322i	0.252106	+	0.967700i	$0.418877\pi$
$191$	−9.84003	+	17.0434i	−0.712000	+	1.23322i	−0.964105	+	0.265520i	$0.914456\pi$
$192$	6.89808	−	17.3132i	0.497826	−	1.24947i
$193$	3.74323	−	13.9699i	0.269443	−	1.00558i	−0.690031	−	0.723780i	$-0.742403\pi$
$193$	3.74323	−	13.9699i	0.269443	−	1.00558i	0.959474	−	0.281797i	$-0.0909303\pi$
$194$	−5.66454	+	21.1404i	−0.406691	+	1.51779i
$195$	−0.448107	−	0.0528289i	−0.0320896	−	0.00378315i
$196$	−2.89401	−	1.67086i	−0.206715	−	0.119347i
$197$	7.71773	+	7.71773i	0.549866	+	0.549866i	0.926402	−	0.376536i	$-0.122885\pi$
$197$	7.71773	+	7.71773i	0.549866	+	0.549866i	−0.376536	+	0.926402i	$0.622885\pi$
$198$	8.02344	+	13.0662i	0.570201	+	0.928573i
$199$	−2.39618	+	2.39618i	−0.169860	+	0.169860i	−0.786918	−	0.617058i	$-0.788325\pi$
$199$	−2.39618	+	2.39618i	−0.169860	+	0.169860i	0.617058	+	0.786918i	$0.288325\pi$
$200$	8.66925	−	15.0156i	0.613008	−	1.06176i
$201$	−0.378240	+	0.0550191i	−0.0266790	+	0.00388075i
$202$	32.0136	−	18.4831i	2.25247	−	1.30047i
$203$	4.07476	+	7.05769i	0.285992	+	0.495353i
$204$	26.2577	+	4.00426i	1.83841	+	0.280354i
$205$	−3.26083	+	5.64792i	−0.227746	+	0.394468i
$206$		−	18.6806i		−	1.30154i
$207$	−16.5668	+	10.1730i	−1.15147	+	0.707075i
$208$	−0.704910			−0.0488767
$209$	−3.84347	−	14.3440i	−0.265858	−	0.992196i
$210$	7.10860	−	5.60925i	0.490540	−	0.387075i
$211$	−1.43904	+	5.37056i	−0.0990674	+	0.369725i	−0.997605	−	0.0691725i	$-0.977964\pi$
$211$	−1.43904	+	5.37056i	−0.0990674	+	0.369725i	0.898537	+	0.438897i	$0.144631\pi$
$212$	34.1848	−	19.7366i	2.34782	−	1.35551i
$213$	7.29721	+	16.9633i	0.499996	+	1.16231i
$214$	3.37898	−	0.905396i	0.230982	−	0.0618916i
$215$	−6.96858	−	6.96858i	−0.475253	−	0.475253i
$216$	−8.97153	−	19.3906i	−0.610435	−	1.31936i
$217$	−9.23968			−0.627230
$218$	−3.08333	−	11.5072i	−0.208830	−	0.779363i
$219$	9.06986	+	21.0840i	0.612884	+	1.42473i
$220$	3.51732	+	6.09217i	0.237137	+	0.410734i
$221$	0.274110	+	1.18231i	0.0184387	+	0.0795305i
$222$	−1.02730	+	8.71383i	−0.0689481	+	0.584834i
$223$	3.07915	+	1.77775i	0.206195	+	0.119047i	0.599542	−	0.800343i	$-0.295349\pi$
$223$	3.07915	+	1.77775i	0.206195	+	0.119047i	−0.393347	+	0.919390i	$0.628683\pi$
$224$	−4.36054	+	4.36054i	−0.291351	+	0.291351i
$225$	3.60399	+	12.1261i	0.240266	+	0.808405i
$226$	−16.1608	+	16.1608i	−1.07500	+	1.07500i
$227$	−9.07233	+	2.43092i	−0.602151	+	0.161346i	−0.547001	−	0.837132i	$-0.684231\pi$
$227$	−9.07233	+	2.43092i	−0.602151	+	0.161346i	−0.0551506	+	0.998478i	$0.517564\pi$
$228$	6.44344	+	44.2968i	0.426727	+	2.93363i
$229$	20.9097	−	12.0722i	1.38175	−	0.797754i	0.389383	−	0.921076i	$-0.372688\pi$
$229$	20.9097	−	12.0722i	1.38175	−	0.797754i	0.992367	+	0.123322i	$0.0393549\pi$
$230$	−11.8780	+	6.85775i	−0.783211	+	0.452187i
$231$	−1.31617	−	9.04829i	−0.0865977	−	0.595334i
$232$	13.1035	−	3.51107i	0.860288	−	0.230513i
$233$	6.96007	−	6.96007i	0.455969	−	0.455969i	−0.441361	−	0.897330i	$-0.645504\pi$
$233$	6.96007	−	6.96007i	0.455969	−	0.455969i	0.897330	+	0.441361i	$0.145504\pi$
$234$	1.45232	−	1.53323i	0.0949409	−	0.100231i
$235$	3.79826	−	3.79826i	0.247771	−	0.247771i
$236$	−20.1391	−	11.6273i	−1.31095	−	0.756875i
$237$	−2.27777	+	19.3206i	−0.147957	+	1.25501i
$238$	−20.6675	−	12.8879i	−1.33967	−	0.835398i
$239$	−2.85777	−	4.94980i	−0.184854	−	0.320176i	0.758673	−	0.651471i	$-0.225848\pi$
$239$	−2.85777	−	4.94980i	−0.184854	−	0.320176i	−0.943527	+	0.331295i	$0.892514\pi$
$240$	−1.45058	−	3.37205i	−0.0936345	−	0.217665i
$241$	−0.926361	−	3.45723i	−0.0596721	−	0.222699i	0.929650	−	0.368443i	$-0.120109\pi$
$241$	−0.926361	−	3.45723i	−0.0596721	−	0.222699i	−0.989322	+	0.145744i	$0.953442\pi$
$242$	−15.3837			−0.988902
$243$	14.7726	+	4.97693i	0.947664	+	0.319270i
$244$	25.1189	+	25.1189i	1.60807	+	1.60807i
$245$	0.768056	−	0.205800i	0.0490693	−	0.0131481i
$246$	−12.0622	−	28.0401i	−0.769057	−	1.78777i
$247$	−1.77133	+	1.02268i	−0.112707	+	0.0650714i
$248$	−3.98075	+	14.8564i	−0.252778	+	0.943381i
$249$	4.66457	−	3.68072i	0.295605	−	0.233256i
$250$	5.04884	+	18.8425i	0.319316	+	1.19171i
$251$	4.30640			0.271818			0.135909	−	0.990721i	$-0.456605\pi$
$251$	4.30640			0.271818			0.135909	+	0.990721i	$0.456605\pi$
$252$	0.746717	+	27.5515i	0.0470387	+	1.73558i
$253$			13.8493i			0.870700i
$254$	10.8461	−	18.7859i	0.680543	−	1.17874i
$255$	−5.09169	+	3.74423i	−0.318854	+	0.234473i
$256$	14.0394	+	24.3170i	0.877465	+	1.51981i
$257$	−19.5623	+	11.2943i	−1.22026	+	0.704518i	−0.964973	−	0.262348i	$-0.915503\pi$
$257$	−19.5623	+	11.2943i	−1.22026	+	0.704518i	−0.255287	+	0.966865i	$0.582170\pi$
$258$	45.6459	−	6.63969i	2.84179	−	0.413369i
$259$	2.61615	−	4.53130i	0.162560	−	0.281561i
$260$	0.685122	−	0.685122i	0.0424895	−	0.0424895i
$261$	−4.71480	+	8.70258i	−0.291839	+	0.538676i
$262$	−21.5413	−	21.5413i	−1.33083	−	1.33083i
$263$	19.8359	+	11.4522i	1.22313	+	0.706175i	0.965584	−	0.260091i	$-0.0837524\pi$
$263$	19.8359	+	11.4522i	1.22313	+	0.706175i	0.257547	+	0.966266i	$0.417086\pi$
$264$	−15.1157	−	1.78204i	−0.930306	−	0.109677i
$265$	−2.43096	+	9.07246i	−0.149333	+	0.557317i
$266$	10.6238	−	39.6487i	0.651390	−	2.43102i
$267$	4.59738	−	11.5388i	0.281355	−	0.706162i
$268$	0.410382	−	0.710802i	0.0250680	−	0.0434191i
$269$	14.2952	−	14.2952i	0.871592	−	0.871592i	−0.121054	−	0.992646i	$-0.538627\pi$
$269$	14.2952	−	14.2952i	0.871592	−	0.871592i	0.992646	+	0.121054i	$0.0386273\pi$
$270$	10.3231	+	3.79228i	0.628242	+	0.230791i
$271$	−21.2643			−1.29172			−0.645858	−	0.763458i	$-0.723500\pi$
$271$	−21.2643			−1.29172			−0.645858	+	0.763458i	$0.723500\pi$
$272$	−7.21499	+	6.74059i	−0.437473	+	0.408708i
$273$	−1.15687	+	0.497660i	−0.0700172	+	0.0301197i
$274$	11.4605	−	6.61672i	0.692354	−	0.399731i
$275$	8.70477	+	2.33244i	0.524918	+	0.140651i
$276$	4.88779	−	41.4594i	0.294211	−	2.49556i
$277$	0.737115	+	2.75095i	0.0442889	+	0.165289i	0.984528	−	0.175226i	$-0.0560655\pi$
$277$	0.737115	+	2.75095i	0.0442889	+	0.165289i	−0.940239	+	0.340514i	$0.889399\pi$
$278$	25.4587	+	25.4587i	1.52691	+	1.52691i
$279$	−5.87209	−	9.56271i	−0.351553	−	0.572504i
$280$			8.98864i			0.537174i
$281$	2.53095	+	1.46124i	0.150984	+	0.0871705i	0.573589	−	0.819144i	$-0.305551\pi$
$281$	2.53095	+	1.46124i	0.150984	+	0.0871705i	−0.422605	+	0.906314i	$0.638884\pi$
$282$	3.61900	+	24.8796i	0.215508	+	1.48156i
$283$	−6.80630	+	25.4014i	−0.404592	+	1.50996i	0.400214	+	0.916422i	$0.368936\pi$
$283$	−6.80630	+	25.4014i	−0.404592	+	1.50996i	−0.804806	+	0.593538i	$0.797731\pi$
$284$	−38.3024	−	10.2631i	−2.27283	−	0.609003i
$285$	−8.53722	−	6.36896i	−0.505701	−	0.377264i
$286$	−0.389383	−	1.45320i	−0.0230247	−	0.0859293i
$287$			18.2026i			1.07447i
$288$	−7.28424	−	1.74174i	−0.429228	−	0.102633i
$289$	14.1112	+	9.48016i	0.830072	+	0.557657i
$290$	−3.49139	+	6.04727i	−0.205022	+	0.355108i
$291$	15.7420	+	1.85588i	0.922812	+	0.108793i
$292$	−47.6069	−	12.7562i	−2.78598	−	0.746502i
$293$	8.31563	+	14.4031i	0.485804	+	0.841438i	0.999867	−	0.0163148i	$-0.00519340\pi$
$293$	8.31563	+	14.4031i	0.485804	+	0.841438i	−0.514063	+	0.857753i	$0.671860\pi$
$294$	−1.37751	+	3.45736i	−0.0803381	+	0.201637i
$295$	5.34482	−	1.43214i	0.311188	−	0.0833825i
$296$	−6.15870	−	6.15870i	−0.357967	−	0.357967i
$297$	8.52816	−	7.11264i	0.494854	−	0.412717i
$298$		−	25.7230i		−	1.49010i
$299$	1.84253	−	0.493704i	0.106556	−	0.0285516i
$300$	−25.2355	−	10.0545i	−1.45697	−	0.580499i
$301$	−26.5692	−	7.11920i	−1.53142	−	0.410344i
$302$	−17.8004	−	30.8312i	−1.02430	−	1.77414i
$303$	−16.5845	−	21.0175i	−0.952752	−	1.20742i
$304$	−14.4106	−	8.31999i	−0.826507	−	0.477184i
$305$	−8.45270			−0.484000
$306$	0.203657	−	29.5807i	0.0116423	−	1.69101i
$307$	32.6602			1.86402			0.932008	−	0.362439i	$-0.118056\pi$
$307$	32.6602			1.86402			0.932008	+	0.362439i	$0.118056\pi$
$308$	17.0039	+	9.81719i	0.968885	+	0.559386i
$309$	−13.3885	+	1.94750i	−0.761646	+	0.110790i
$310$	−3.95844	−	6.85622i	−0.224824	−	0.389407i
$311$	10.2785	+	2.75411i	0.582838	+	0.156171i	0.538178	−	0.842831i	$-0.319113\pi$
$311$	10.2785	+	2.75411i	0.582838	+	0.156171i	0.0446601	+	0.999002i	$0.485780\pi$
$312$	0.301763	+	2.07453i	0.0170840	+	0.117447i
$313$	−15.1230	+	4.05219i	−0.854801	+	0.229043i	−0.659504	−	0.751701i	$-0.729234\pi$
$313$	−15.1230	+	4.05219i	−0.854801	+	0.229043i	−0.195297	+	0.980744i	$0.562567\pi$
$314$		−	10.3722i		−	0.585340i
$315$	−4.76128	−	4.51000i	−0.268268	−	0.254110i
$316$	−29.5398	−	29.5398i	−1.66174	−	1.66174i
$317$	−27.7714	+	7.44133i	−1.55980	+	0.417947i	−0.932600	−	0.360912i	$-0.882466\pi$
$317$	−27.7714	+	7.44133i	−1.55980	+	0.417947i	−0.627199	+	0.778859i	$0.715799\pi$
$318$	−27.2320	−	34.5111i	−1.52710	−	1.93529i
$319$	3.52546	+	6.10628i	0.197388	+	0.341886i
$320$	−9.19810	−	2.46462i	−0.514189	−	0.137777i
$321$	−1.00117	−	2.32735i	−0.0558799	−	0.129900i
$322$	−19.1407	+	33.1526i	−1.06667	+	1.84752i
$323$	−8.35095	+	27.4055i	−0.464659	+	1.52488i
$324$	−28.0402	+	18.2826i	−1.55779	+	1.01570i
$325$		−	1.24124i		−	0.0688515i
$326$	−1.81836	−	6.78621i	−0.100710	−	0.375854i
$327$	−7.92581	+	3.40950i	−0.438298	+	0.188546i
$328$	29.2678	+	7.84227i	1.61604	+	0.433017i
$329$	3.88036	−	14.4817i	0.213931	−	0.798401i
$330$	6.15033	−	4.85310i	0.338564	−	0.267154i
$331$	3.11889	+	1.80069i	0.171430	+	0.0989751i	0.583260	−	0.812286i	$-0.301777\pi$
$331$	3.11889	+	1.80069i	0.171430	+	0.0989751i	−0.411830	+	0.911261i	$0.635110\pi$
$332$			12.7593i			0.700259i
$333$	6.35236	−	0.172165i	0.348107	−	0.00943459i
$334$	−2.98107	−	2.98107i	−0.163117	−	0.163117i
$335$	0.0505467	+	0.188643i	0.00276166	+	0.0103067i
$336$	−8.21216	−	6.12646i	−0.448010	−	0.334226i
$337$	31.9449	+	8.55961i	1.74015	+	0.466271i	0.982480	−	0.186368i	$-0.0596717\pi$
$337$	31.9449	+	8.55961i	1.74015	+	0.466271i	0.757669	+	0.652639i	$0.226338\pi$
$338$	26.7450	−	15.4412i	1.45473	−	0.839892i
$339$	13.2674	+	9.89777i	0.720586	+	0.537573i
$340$	0.461084	−	13.5638i	0.0250058	−	0.735601i
$341$	−7.99413			−0.432906
$342$	47.7866	−	14.2027i	2.58400	−	0.767992i
$343$	13.7958	−	13.7958i	0.744904	−	0.744904i
$344$	−22.8937	+	39.6531i	−1.23435	+	2.13795i
$345$	6.15331	+	7.79809i	0.331283	+	0.419835i
$346$	−5.38144	+	20.0838i	−0.289308	+	1.07971i
$347$	−2.56558	+	9.57489i	−0.137728	+	0.514007i	0.862244	+	0.506493i	$0.169058\pi$
$347$	−2.56558	+	9.57489i	−0.137728	+	0.514007i	−0.999972	+	0.00751398i	$0.997608\pi$
$348$	−8.39877	−	19.5240i	−0.450221	−	1.04660i
$349$	−20.2913	−	11.7152i	−1.08617	−	0.627101i	−0.153616	−	0.988131i	$-0.549092\pi$
$349$	−20.2913	−	11.7152i	−1.08617	−	0.627101i	−0.932554	+	0.361030i	$0.882425\pi$
$350$	17.6140	+	17.6140i	0.941506	+	0.941506i
$351$	−1.25029	−	0.881041i	−0.0667353	−	0.0470265i
$352$	−3.77272	+	3.77272i	−0.201087	+	0.201087i
$353$	−7.93811	+	13.7492i	−0.422503	+	0.731797i	−0.996184	−	0.0872823i	$-0.972182\pi$
$353$	−7.93811	+	13.7492i	−0.422503	+	0.731797i	0.573681	+	0.819079i	$0.305515\pi$
$354$	−9.58596	+	24.0594i	−0.509488	+	1.27874i
$355$	8.17132	−	4.71772i	0.433689	−	0.250390i
$356$	13.3361	+	23.0988i	0.706810	+	1.22423i
$357$	−7.08219	+	16.1561i	−0.374829	+	0.855073i
$358$	11.6724	−	20.2173i	0.616908	−	1.06852i
$359$			7.53863i			0.397873i	0.980012	+	0.198937i	$0.0637488\pi$
$359$			7.53863i			0.397873i	−0.980012	+	0.198937i	$0.936251\pi$
$360$	−9.30289	+	5.71255i	−0.490305	+	0.301078i
$361$	−29.2822			−1.54117
$362$	−3.13873	−	11.7139i	−0.164968	−	0.615669i
$363$	1.60379	+	11.0256i	0.0841773	+	0.578694i
$364$	0.699930	−	2.61217i	0.0366863	−	0.136915i
$365$	10.1563	−	5.86375i	0.531606	−	0.306923i
$366$	23.6567	−	31.7105i	1.23656	−	1.65754i
$367$	7.90713	−	2.11871i	0.412749	−	0.110596i	−0.0464683	−	0.998920i	$-0.514797\pi$
$367$	7.90713	−	2.11871i	0.412749	−	0.110596i	0.459217	+	0.888324i	$0.348130\pi$
$368$	10.9734	+	10.9734i	0.572026	+	0.572026i
$369$	−18.8390	+	11.5683i	−0.980719	+	0.602222i
$370$	4.48321			0.233071
$371$	6.78505	+	25.3222i	0.352262	+	1.31466i
$372$	23.9313	+	2.82134i	1.24078	+	0.146280i
$373$	−4.65772	−	8.06741i	−0.241168	−	0.417715i	0.719880	−	0.694099i	$-0.244197\pi$
$373$	−4.65772	−	8.06741i	−0.241168	−	0.417715i	−0.961047	+	0.276384i	$0.910864\pi$
$374$	−17.8814	−	11.1505i	−0.924626	−	0.576581i
$375$	12.9782	−	5.58292i	0.670191	−	0.288301i
$376$	−21.6131	−	12.4784i	−1.11461	−	0.643522i
$377$	0.686708	−	0.686708i	0.0353673	−	0.0353673i
$378$	30.2449	−	5.23982i	1.55563	−	0.269507i
$379$	16.6013	−	16.6013i	0.852752	−	0.852752i	−0.137719	−	0.990471i	$-0.543977\pi$
$379$	16.6013	−	16.6013i	0.852752	−	0.852752i	0.990471	+	0.137719i	$0.0439772\pi$
$380$	22.0925	−	5.91968i	1.13332	−	0.303673i
$381$	−14.5947	−	5.81497i	−0.747712	−	0.297910i
$382$	−40.7596	+	23.5325i	−2.08544	+	1.20403i
$383$	−3.83516	+	2.21423i	−0.195967	+	0.113142i	−0.594773	−	0.803894i	$-0.702758\pi$
$383$	−3.83516	+	2.21423i	−0.195967	+	0.113142i	0.398806	+	0.917035i	$0.369425\pi$
$384$	28.1999	−	22.2519i	1.43907	−	1.13554i
$385$	−4.51274	+	1.20918i	−0.229990	+	0.0616257i
$386$	24.4572	−	24.4572i	1.24484	−	1.24484i
$387$	−9.51743	−	32.0225i	−0.483798	−	1.62780i
$388$	−24.0683	+	24.0683i	−1.22188	+	1.22188i
$389$	16.4564	+	9.50112i	0.834374	+	0.481726i	0.855348	−	0.518054i	$-0.173343\pi$
$389$	16.4564	+	9.50112i	0.834374	+	0.481726i	−0.0209741	+	0.999780i	$0.506677\pi$
$390$	−0.864908	−	0.645241i	−0.0437963	−	0.0326730i
$391$	14.1379	−	22.6721i	0.714986	−	1.14658i
$392$	−1.84717	−	3.19939i	−0.0932961	−	0.161594i
$393$	−13.1931	+	17.6846i	−0.665503	+	0.892069i
$394$	6.75575	+	25.2128i	0.340350	+	1.27020i
$395$	9.94034			0.500153
$396$	0.646056	+	23.8374i	0.0324655	+	1.19788i
$397$	16.3196	+	16.3196i	0.819059	+	0.819059i	0.985972	−	0.166913i	$-0.0533798\pi$
$397$	16.3196	+	16.3196i	0.819059	+	0.819059i	−0.166913	+	0.985972i	$0.553380\pi$
$398$	−7.82798	+	2.09750i	−0.392381	+	0.105138i
$399$	−29.5241	−	3.48069i	−1.47805	−	0.174253i
$400$	8.74520	−	5.04905i	0.437260	−	0.252452i
$401$	−0.604920	+	2.25759i	−0.0302083	+	0.112739i	−0.979384	−	0.202009i	$-0.935253\pi$
$401$	−0.604920	+	2.25759i	−0.0302083	+	0.112739i	0.949175	+	0.314747i	$0.101920\pi$
$402$	−0.849166	−	0.338332i	−0.0423525	−	0.0168745i
$403$	0.284976	+	1.06355i	0.0141957	+	0.0529790i
$404$	57.4905			2.86026
$405$	1.64174	−	7.79397i	0.0815788	−	0.387286i
$406$			19.4897i			0.967256i
$407$	2.26348	−	3.92046i	0.112196	−	0.194330i
$408$	22.9260	+	18.3480i	1.13501	+	0.908359i
$409$	−1.30201	−	2.25516i	−0.0643805	−	0.111510i	0.832039	−	0.554718i	$-0.187174\pi$
$409$	−1.30201	−	2.25516i	−0.0643805	−	0.111510i	−0.896419	+	0.443208i	$0.853840\pi$
$410$	−13.5071	+	7.79832i	−0.667067	+	0.385131i
$411$	−5.93704	−	7.52401i	−0.292853	−	0.371132i
$412$	14.5262	−	25.1602i	0.715656	−	1.23955i
$413$	10.9207	−	10.9207i	0.537372	−	0.537372i
$414$	−46.4761	+	1.25962i	−2.28418	+	0.0619071i
$415$	−2.14680	−	2.14680i	−0.105382	−	0.105382i
$416$	0.636417	+	0.367435i	0.0312029	+	0.0180150i
$417$	15.5923	−	20.9005i	0.763557	−	1.02350i
$418$	9.19170	−	34.3039i	0.449581	−	1.67786i
$419$	5.45539	−	20.3598i	0.266513	−	0.994641i	−0.694805	−	0.719199i	$-0.744509\pi$
$419$	5.45539	−	20.3598i	0.266513	−	0.994641i	0.961318	−	0.275442i	$-0.0888242\pi$
$420$	13.9361	−	2.02716i	0.680012	−	0.0989151i
$421$	10.6721	−	18.4846i	0.520125	−	0.900884i	−0.479601	−	0.877487i	$-0.659219\pi$
$421$	10.6721	−	18.4846i	0.520125	−	0.900884i	0.999726	−	0.0233969i	$-0.00744814\pi$
$422$	−9.40228	+	9.40228i	−0.457696	+	0.457696i
$423$	17.4541	−	5.18752i	0.848645	−	0.252226i
$424$	43.6384			2.11927
$425$	−11.8691	−	12.7045i	−0.575737	−	0.616258i
$426$	−5.17063	+	43.8585i	−0.250518	+	2.12495i
$427$	−20.4316	+	11.7962i	−0.988752	+	0.570856i
$428$	5.25506	+	1.40809i	0.254013	+	0.0680626i
$429$	−1.00092	+	0.430573i	−0.0483249	+	0.0207883i
$430$	−6.09998	−	22.7654i	−0.294167	−	1.09785i
$431$	−20.5378	−	20.5378i	−0.989272	−	0.989272i	0.0106709	−	0.999943i	$-0.496603\pi$
$431$	−20.5378	−	20.5378i	−0.989272	−	0.989272i	−0.999943	+	0.0106709i	$0.996603\pi$
$432$	1.12157	−	12.3928i	0.0539615	−	0.596249i
$433$			11.1591i			0.536270i	0.963381	+	0.268135i	$0.0864073\pi$
$433$			11.1591i			0.536270i	−0.963381	+	0.268135i	$0.913593\pi$
$434$	−19.1364	−	11.0484i	−0.918576	−	0.530340i
$435$	4.69811	+	1.87186i	0.225257	+	0.0897489i
$436$	4.79526	−	17.8962i	0.229651	−	0.857071i
$437$	43.4944	+	11.6543i	2.08062	+	0.557500i
$438$	−6.42669	+	54.5127i	−0.307079	+	2.60472i
$439$	5.54170	+	20.6819i	0.264491	+	0.987094i	0.962561	+	0.271065i	$0.0873758\pi$
$439$	5.54170	+	20.6819i	0.264491	+	0.987094i	−0.698070	+	0.716030i	$0.745958\pi$
$440$			7.77693i			0.370751i
$441$	2.62152	+	0.626833i	0.124834	+	0.0298492i
$442$	−0.846037	+	2.77646i	−0.0402419	+	0.132063i
$443$	14.3605	−	24.8732i	0.682290	−	1.18176i	−0.291990	−	0.956421i	$-0.594317\pi$
$443$	14.3605	−	24.8732i	0.682290	−	1.18176i	0.974280	−	0.225340i	$-0.0723493\pi$
$444$	−8.15959	+	10.9375i	−0.387237	+	0.519069i
$445$	−6.13029	−	1.64261i	−0.290604	−	0.0778670i
$446$	4.25150	+	7.36382i	0.201314	+	0.348687i
$447$	−18.4359	+	2.68170i	−0.871987	+	0.126840i
$448$	−25.6728	+	6.87901i	−1.21293	+	0.325003i
$449$	−9.98949	−	9.98949i	−0.471433	−	0.471433i	0.430945	−	0.902378i	$-0.358180\pi$
$449$	−9.98949	−	9.98949i	−0.471433	−	0.471433i	−0.902378	+	0.430945i	$0.858180\pi$
$450$	−7.03556	+	29.4239i	−0.331660	+	1.38706i
$451$			15.7488i			0.741583i
$452$	−34.3332	+	9.19956i	−1.61490	+	0.432711i
$453$	−20.2412	+	15.9719i	−0.951014	+	0.750426i
$454$	−21.6966	−	5.81358i	−1.01827	−	0.272845i
$455$	0.321742	+	0.557273i	0.0150835	+	0.0261254i
$456$	−18.3165	+	45.9718i	−0.857748	+	2.15283i
$457$	−4.86756	−	2.81029i	−0.227695	−	0.131460i	0.381813	−	0.924239i	$-0.375300\pi$
$457$	−4.86756	−	2.81029i	−0.227695	−	0.131460i	−0.609508	+	0.792780i	$0.708633\pi$
$458$	57.7416			2.69809
$459$	−21.2219	+	2.93790i	−0.990553	+	0.137130i
$460$	−21.3306			−0.994546
$461$	−7.07343	−	4.08384i	−0.329442	−	0.190204i	0.326151	−	0.945318i	$-0.394248\pi$
$461$	−7.07343	−	4.08384i	−0.329442	−	0.190204i	−0.655593	+	0.755114i	$0.727581\pi$
$462$	8.09361	−	20.3138i	0.376549	−	0.945085i
$463$	9.42462	+	16.3239i	0.437999	+	0.758637i	0.997535	−	0.0701693i	$-0.0223540\pi$
$463$	9.42462	+	16.3239i	0.437999	+	0.758637i	−0.559536	+	0.828806i	$0.689021\pi$
$464$	7.63160	+	2.04488i	0.354288	+	0.0949312i
$465$	−4.50122	+	3.55182i	−0.208739	+	0.164712i
$466$	22.7376	−	6.09252i	1.05330	−	0.282231i
$467$		−	4.58082i		−	0.211975i	−0.994367	−	0.105988i	$-0.966200\pi$
$467$		−	4.58082i		−	0.211975i	0.994367	−	0.105988i	$-0.0338004\pi$
$468$	3.14832	−	0.935714i	0.145531	−	0.0432534i
$469$	0.385441	+	0.385441i	0.0177980	+	0.0177980i
$470$	12.4084	−	3.32482i	0.572357	−	0.153363i
$471$	−7.43386	+	1.08133i	−0.342534	+	0.0498253i
$472$	−12.8543	−	22.2642i	−0.591665	−	1.02479i
$473$	−22.9876	−	6.15950i	−1.05697	−	0.283214i
$474$	−27.8203	+	37.2915i	−1.27783	+	1.71285i
$475$	14.6502	−	25.3749i	0.672198	−	1.16428i
$476$	−17.8145	−	33.4294i	−0.816525	−	1.53224i
$477$	−21.8953	+	23.1152i	−1.00252	+	1.05837i
$478$		−	13.6688i		−	0.625196i
$479$	−0.668736	−	2.49576i	−0.0305553	−	0.114034i	0.948964	−	0.315385i	$-0.102134\pi$
$479$	−0.668736	−	2.49576i	−0.0305553	−	0.114034i	−0.979519	+	0.201351i	$0.935467\pi$
$480$	−0.448057	+	3.80052i	−0.0204509	+	0.173469i
$481$	−0.602271	−	0.161378i	−0.0274612	−	0.00735820i
$482$	2.21540	−	8.26799i	0.100909	−	0.376597i
$483$	25.7562	+	10.2620i	1.17195	+	0.466937i
$484$	−20.7197	−	11.9625i	−0.941804	−	0.543751i
$485$		−	8.09916i		−	0.367764i
$486$	24.6445	+	27.9722i	1.11790	+	1.26885i
$487$	26.2558	+	26.2558i	1.18977	+	1.18977i	0.977132	+	0.212633i	$0.0682039\pi$
$487$	26.2558	+	26.2558i	1.18977	+	1.18977i	0.212633	+	0.977132i	$0.431796\pi$
$488$	10.1643	+	37.9338i	0.460118	+	1.71718i
$489$	−4.67416	+	2.01071i	−0.211373	+	0.0909276i
$490$	1.83682	+	0.492173i	0.0829789	+	0.0222341i
$491$	−9.48966	+	5.47886i	−0.428262	+	0.247257i	−0.698606	−	0.715507i	$-0.746196\pi$
$491$	−9.48966	+	5.47886i	−0.428262	+	0.247257i	0.270344	+	0.962764i	$0.412863\pi$
$492$	5.55817	−	47.1457i	0.250582	−	2.12549i
$493$	0.462152	−	13.5952i	0.0208143	−	0.612298i
$494$	−4.89149			−0.220078
$495$	−4.11943	−	3.90203i	−0.185155	−	0.175383i
$496$	−6.33406	+	6.33406i	−0.284407	+	0.284407i
$497$	13.1676	−	22.8070i	0.590649	−	1.02303i
$498$	14.0621	−	2.04548i	0.630137	−	0.0916602i
$499$	6.38029	−	23.8116i	0.285621	−	1.06595i	−0.662763	−	0.748829i	$-0.730616\pi$
$499$	6.38029	−	23.8116i	0.285621	−	1.06595i	0.948384	−	0.317124i	$-0.102717\pi$
$500$	−7.85205	+	29.3043i	−0.351155	+	1.31053i
$501$	−1.82577	+	2.44734i	−0.0815694	+	0.109339i
$502$	8.91903	+	5.14941i	0.398076	+	0.229829i
$503$	−19.2077	−	19.2077i	−0.856431	−	0.856431i	0.134485	−	0.990916i	$-0.457062\pi$
$503$	−19.2077	−	19.2077i	−0.856431	−	0.856431i	−0.990916	+	0.134485i	$0.957062\pi$
$504$	−14.5145	+	26.7908i	−0.646526	+	1.19336i
$505$	−9.67298	+	9.67298i	−0.430442	+	0.430442i
$506$	−16.5604	+	28.6835i	−0.736201	+	1.27514i
$507$	−13.8551	−	17.5585i	−0.615325	−	0.779801i
$508$	29.2163	−	16.8680i	1.29626	−	0.748398i
$509$	8.22594	+	14.2478i	0.364609	+	0.631521i	0.988713	−	0.149820i	$-0.0478695\pi$
$509$	8.22594	+	14.2478i	0.364609	+	0.631521i	−0.624105	+	0.781341i	$0.714536\pi$
$510$	−15.0226	+	1.66629i	−0.665213	+	0.0737845i
$511$	16.3663	−	28.3473i	0.724004	−	1.25401i
$512$			25.6719i			1.13455i
$513$	−15.1610	−	32.7683i	−0.669376	−	1.44676i
$514$	−54.0208			−2.38275
$515$	1.78920	+	6.67737i	0.0788414	+	0.294240i
$516$	66.6418	+	26.5520i	2.93374	+	1.16889i
$517$	3.35727	−	12.5295i	0.147652	−	0.551046i
$518$	10.8367	−	6.25655i	0.476136	−	0.274897i
$519$	14.9552	+	1.76312i	0.656462	+	0.0773926i
$520$	1.03465	−	0.277234i	0.0453724	−	0.0121575i
$521$	−22.6971	−	22.6971i	−0.994378	−	0.994378i	0.00560632	−	0.999984i	$-0.498215\pi$
$521$	−22.6971	−	22.6971i	−0.994378	−	0.994378i	−0.999984	+	0.00560632i	$0.998215\pi$
$522$	−20.1710	+	12.3863i	−0.882862	+	0.542132i
$523$	9.78384			0.427817			0.213909	−	0.976854i	$-0.431381\pi$
$523$	9.78384			0.427817			0.213909	+	0.976854i	$0.431381\pi$
$524$	−12.2624	−	45.7640i	−0.535686	−	1.99921i
$525$	10.7877	−	14.4603i	0.470816	−	0.631101i
$526$	27.3882	+	47.4377i	1.19418	+	2.06838i
$527$	13.0868	+	8.16071i	0.570070	+	0.355486i
$528$	−7.10512	−	5.30058i	−0.309211	−	0.230678i
$529$	−16.4496	−	9.49720i	−0.715201	−	0.412922i
$530$	−15.8832	+	15.8832i	−0.689924	+	0.689924i
$531$	18.2429	+	4.36207i	0.791675	+	0.189298i
$532$	45.1401	−	45.1401i	1.95707	−	1.95707i
$533$	2.09524	−	0.561417i	0.0907548	−	0.0243177i
$534$	23.3193	−	18.4007i	1.00912	−	0.796278i
$535$	−1.12110	+	0.647267i	−0.0484693	+	0.0279838i
$536$	0.785806	−	0.453685i	0.0339416	−	0.0195962i
$537$	−15.7067	−	6.25802i	−0.677796	−	0.270053i
$538$	46.7004	−	12.5133i	2.01340	−	0.539488i
$539$	1.35776	−	1.35776i	0.0584830	−	0.0584830i
$540$	10.9548	+	13.1350i	0.471421	+	0.565240i
$541$	6.02025	−	6.02025i	0.258831	−	0.258831i	−0.565748	−	0.824579i	$-0.691412\pi$
$541$	6.02025	−	6.02025i	0.258831	−	0.258831i	0.824579	+	0.565748i	$0.191412\pi$
$542$	−44.0407	−	25.4269i	−1.89171	−	1.09218i
$543$	−8.06822	+	3.47076i	−0.346240	+	0.148944i
$544$	10.0275	−	2.32481i	0.429925	−	0.0996753i
$545$	2.20427	+	3.81791i	0.0944207	+	0.163541i
$546$	−2.99109	−	0.352630i	−0.128007	−	0.0150912i
$547$	9.61931	+	35.8998i	0.411292	+	1.53496i	0.792148	+	0.610329i	$0.208963\pi$
$547$	9.61931	+	35.8998i	0.411292	+	1.53496i	−0.380856	+	0.924634i	$0.624371\pi$
$548$	20.5809			0.879174
$549$	−25.1934	−	13.6490i	−1.07523	−	0.582527i
$550$	15.2395	+	15.2395i	0.649815	+	0.649815i
$551$	22.1437	−	5.93339i	0.943353	−	0.252771i
$552$	27.5967	−	36.9918i	1.17460	−	1.57448i
$553$	24.0274	−	13.8723i	1.02175	−	0.589908i
$554$	−1.76282	+	6.57893i	−0.0748950	+	0.279512i
$555$	−0.467387	−	3.21315i	−0.0198395	−	0.136391i
$556$	14.4924	+	54.0862i	0.614613	+	2.29377i
$557$	−4.26389			−0.180667			−0.0903333	−	0.995912i	$-0.528793\pi$
$557$	−4.26389			−0.180667			−0.0903333	+	0.995912i	$0.528793\pi$
$558$	−0.727080	−	26.8270i	−0.0307798	−	1.13568i
$559$			3.27786i			0.138639i
$560$	−2.61753	+	4.53370i	−0.110611	+	0.191584i
$561$	−6.12748	+	13.9782i	−0.258702	+	0.590160i
$562$	3.49458	+	6.05279i	0.147410	+	0.255322i
$563$	6.27932	−	3.62536i	0.264642	−	0.152791i	−0.361808	−	0.932252i	$-0.617841\pi$
$563$	6.27932	−	3.62536i	0.264642	−	0.152791i	0.626450	+	0.779462i	$0.284507\pi$
$564$	−14.4723	+	36.3235i	−0.609394	+	1.52949i
$565$	4.22883	−	7.32454i	0.177908	−	0.308146i
$566$	−44.4705	+	44.4705i	−1.86924	+	1.86924i
$567$	−6.90852	−	21.1305i	−0.290131	−	0.887395i
$568$	−30.9980	−	30.9980i	−1.30065	−	1.30065i
$569$	22.2117	+	12.8239i	0.931162	+	0.537607i	0.887179	−	0.461426i	$-0.152662\pi$
$569$	22.2117	+	12.8239i	0.931162	+	0.537607i	0.0439832	+	0.999032i	$0.485995\pi$
$570$	−10.0658	−	23.3992i	−0.421610	−	0.980086i
$571$	−6.78350	+	25.3164i	−0.283881	+	1.05946i	0.665773	+	0.746155i	$0.268102\pi$
$571$	−6.78350	+	25.3164i	−0.283881	+	1.05946i	−0.949653	+	0.313303i	$0.898565\pi$
$572$	0.605576	−	2.26004i	0.0253204	−	0.0944971i
$573$	21.1152	+	26.7593i	0.882101	+	1.11789i
$574$	−21.7659	+	37.6996i	−0.908491	+	1.57355i
$575$	−19.3224	+	19.3224i	−0.805800	+	0.805800i
$576$	−23.4353	−	22.1985i	−0.976473	−	0.924940i
$577$	−21.8156			−0.908193			−0.454097	−	0.890952i	$-0.650038\pi$
$577$	−21.8156			−0.908193			−0.454097	+	0.890952i	$0.650038\pi$
$578$	17.8899	+	36.5080i	0.744123	+	1.51853i
$579$	−20.0784	−	14.9789i	−0.834430	−	0.622503i
$580$	−9.40484	+	5.42989i	−0.390515	+	0.225464i
$581$	−8.18514	−	2.19320i	−0.339577	−	0.0909893i
$582$	30.3842	+	22.6673i	1.25947	+	0.939590i
$583$	5.87039	+	21.9086i	0.243127	+	0.907362i
$584$	−38.5281	−	38.5281i	−1.59431	−	1.59431i
$585$	−0.372279	+	0.687154i	−0.0153919	+	0.0284103i
$586$			39.7739i			1.64304i
$587$	−6.33435	−	3.65714i	−0.261446	−	0.150946i	0.363548	−	0.931576i	$-0.381565\pi$
$587$	−6.33435	−	3.65714i	−0.261446	−	0.150946i	−0.624994	+	0.780629i	$0.714899\pi$
$588$	−4.54379	+	3.58541i	−0.187383	+	0.147860i
$589$	−6.72710	+	25.1059i	−0.277185	+	1.03447i
$590$	12.7822	+	3.42498i	0.526235	+	0.141004i
$591$	17.3659	−	7.47039i	0.714337	−	0.307291i
$592$	−1.31289	−	4.89977i	−0.0539595	−	0.201379i
$593$		−	9.60461i		−	0.394414i	−0.980362	−	0.197207i	$-0.936813\pi$
$593$		−	9.60461i		−	0.394414i	0.980362	−	0.197207i	$-0.0631871\pi$
$594$	26.1677	−	4.53346i	1.07368	−	0.186010i
$595$	8.62197	+	2.62727i	0.353466	+	0.107708i
$596$	20.0025	−	34.6453i	0.819334	−	1.41913i
$597$	2.31938	+	5.39170i	0.0949260	+	0.220668i
$598$	4.40643	+	1.18070i	0.180192	+	0.0482824i
$599$	−18.3657	−	31.8103i	−0.750401	−	1.29973i	−0.947628	−	0.319375i	$-0.896527\pi$
$599$	−18.3657	−	31.8103i	−0.750401	−	1.29973i	0.197227	−	0.980358i	$-0.436806\pi$
$600$	−18.6029	−	23.5755i	−0.759461	−	0.962464i
$601$	−2.75760	+	0.738898i	−0.112485	+	0.0301403i	−0.314622	−	0.949217i	$-0.601878\pi$
$601$	−2.75760	+	0.738898i	−0.112485	+	0.0301403i	0.202137	+	0.979357i	$0.435211\pi$
$602$	−46.5149	−	46.5149i	−1.89581	−	1.89581i
$603$	−0.153957	+	0.643875i	−0.00626961	+	0.0262206i
$604$		−	55.3671i		−	2.25286i
$605$	5.49890	−	1.47343i	0.223562	−	0.0599033i
$606$	−9.21646	−	63.3605i	−0.374393	−	2.57384i
$607$	5.13084	+	1.37480i	0.208254	+	0.0558016i	0.361438	−	0.932396i	$-0.382286\pi$
$607$	5.13084	+	1.37480i	0.208254	+	0.0558016i	−0.153184	+	0.988198i	$0.548953\pi$
$608$	8.67361	+	15.0231i	0.351761	+	0.609269i
$609$	13.9684	−	2.03185i	0.566027	−	0.0823347i
$610$	−17.5065	−	10.1074i	−0.708816	−	0.409235i
$611$	−1.78661			−0.0722787
$612$	23.2765	−	39.6827i	0.940898	−	1.60408i
$613$	−31.5380			−1.27381			−0.636904	−	0.770943i	$-0.719785\pi$
$613$	−31.5380			−1.27381			−0.636904	+	0.770943i	$0.719785\pi$
$614$	67.6428	+	39.0536i	2.72984	+	1.57608i
$615$	6.99725	+	8.86762i	0.282157	+	0.357577i
$616$	10.8531	+	18.7981i	0.437284	+	0.757398i
$617$	30.2416	+	8.10322i	1.21748	+	0.326223i	0.809694	−	0.586853i	$-0.199633\pi$
$617$	30.2416	+	8.10322i	1.21748	+	0.326223i	0.407789	+	0.913076i	$0.366300\pi$
$618$	−30.0578	−	11.9759i	−1.20910	−	0.481741i
$619$	3.23242	−	0.866124i	0.129922	−	0.0348125i	−0.193272	−	0.981145i	$-0.561910\pi$
$619$	3.23242	−	0.866124i	0.129922	−	0.0348125i	0.323194	+	0.946333i	$0.395243\pi$
$620$		−	12.3125i		−	0.494482i
$621$	5.74804	+	33.1784i	0.230661	+	1.33140i
$622$	17.9946	+	17.9946i	0.721517	+	0.721517i
$623$	−17.1103	+	4.58468i	−0.685508	+	0.183681i
$624$	−0.451909	+	1.13423i	−0.0180908	+	0.0454055i
$625$	6.93252	+	12.0075i	0.277301	+	0.480299i
$626$	−36.1667	−	9.69085i	−1.44551	−	0.387324i
$627$	−25.5441	−	3.01148i	−1.02013	−	0.120267i
$628$	8.06556	−	13.9700i	0.321851	−	0.557462i
$629$	−7.70759	+	4.10736i	−0.307322	+	0.163771i
$630$	−4.46827	−	15.0340i	−0.178020	−	0.598970i
$631$		−	29.7591i		−	1.18469i	−0.805684	−	0.592346i	$-0.798202\pi$
$631$		−	29.7591i		−	1.18469i	0.805684	−	0.592346i	$-0.201798\pi$
$632$	−11.9532	−	44.6100i	−0.475474	−	1.77449i
$633$	7.71889	+	5.75847i	0.306798	+	0.228879i
$634$	−66.4157	−	17.7960i	−2.63770	−	0.706771i
$635$	−2.07764	+	7.75385i	−0.0824486	+	0.307702i
$636$	−9.84152	−	67.6575i	−0.390242	−	2.68280i
$637$	−0.229040	−	0.132236i	−0.00907489	−	0.00523939i
$638$			16.8624i			0.667587i
$639$	31.9727	−	0.866543i	1.26482	−	0.0342799i
$640$	−12.9786	−	12.9786i	−0.513024	−	0.513024i
$641$	4.76788	+	17.7940i	0.188320	+	0.702819i	0.993895	+	0.110326i	$0.0351895\pi$
$641$	4.76788	+	17.7940i	0.188320	+	0.702819i	−0.805576	+	0.592493i	$0.798144\pi$
$642$	0.709406	−	6.01735i	0.0279980	−	0.237486i
$643$	−24.3656	−	6.52875i	−0.960887	−	0.257469i	−0.255911	−	0.966700i	$-0.582375\pi$
$643$	−24.3656	−	6.52875i	−0.960887	−	0.257469i	−0.704976	+	0.709231i	$0.749042\pi$
$644$	−51.5597	+	29.7680i	−2.03173	+	1.17302i
$645$	−15.6802	+	6.74525i	−0.617407	+	0.265594i
$646$	−50.0660	+	46.7740i	−1.96982	+	1.84030i
$647$	8.13256			0.319724			0.159862	−	0.987139i	$-0.448895\pi$
$647$	8.13256			0.319724			0.159862	+	0.987139i	$0.448895\pi$
$648$	−36.9518	+	2.00445i	−1.45160	+	0.0787422i
$649$	9.44853	−	9.44853i	0.370887	−	0.370887i
$650$	1.48422	−	2.57074i	0.0582158	−	0.100833i
$651$	−5.92344	+	14.8670i	−0.232158	+	0.582684i
$652$	2.82795	−	10.5541i	0.110751	−	0.413329i
$653$	−1.75792	+	6.56065i	−0.0687928	+	0.256738i	−0.991754	−	0.128154i	$-0.959095\pi$
$653$	−1.75792	+	6.56065i	−0.0687928	+	0.256738i	0.922961	+	0.384892i	$0.125761\pi$
$654$	−20.4921	−	2.41589i	−0.801306	−	0.0944687i
$655$	9.76314	+	5.63675i	0.381478	+	0.220246i
$656$	12.4784	+	12.4784i	0.487199	+	0.487199i
$657$	39.7396	−	1.07705i	1.55039	−	0.0420196i
$658$	25.3532	−	25.3532i	0.988371	−	0.988371i
$659$	14.2163	−	24.6234i	0.553789	−	0.959191i	−0.444208	−	0.895924i	$-0.646515\pi$
$659$	14.2163	−	24.6234i	0.553789	−	0.959191i	0.997997	−	0.0632668i	$-0.0201519\pi$
$660$	12.0574	−	1.75389i	0.469336	−	0.0682699i
$661$	−32.7333	+	18.8986i	−1.27318	+	0.735069i	−0.975584	−	0.219625i	$-0.929517\pi$
$661$	−32.7333	+	18.8986i	−1.27318	+	0.735069i	−0.297592	+	0.954693i	$0.596183\pi$
$662$	4.30638	+	7.45887i	0.167372	+	0.289897i
$663$	2.07811	+	0.316908i	0.0807070	+	0.0123077i
$664$	−7.05284	+	12.2159i	−0.273703	+	0.474068i
$665$			15.1900i			0.589041i
$666$	13.3623	+	7.23930i	0.517779	+	0.280517i
$667$	−21.3800			−0.827838
$668$	−1.69698	−	6.33320i	−0.0656580	−	0.245039i
$669$	4.83447	−	3.81478i	0.186911	−	0.147488i
$670$	−0.120883	+	0.451142i	−0.00467012	+	0.0174291i
$671$	−17.6773	+	10.2060i	−0.682424	+	0.393998i
$672$	4.22079	+	9.81177i	0.162821	+	0.378497i
$673$	−13.9567	+	3.73968i	−0.537990	+	0.144154i	−0.517575	−	0.855638i	$-0.673165\pi$
$673$	−13.9567	+	3.73968i	−0.537990	+	0.144154i	−0.0204146	+	0.999792i	$0.506499\pi$
$674$	55.9262	+	55.9262i	2.15420	+	2.15420i
$675$	21.8218	+	1.97491i	0.839922	+	0.0760144i
$676$	48.0290			1.84727
$677$	−3.71076	−	13.8487i	−0.142616	−	0.532251i	−0.999850	−	0.0173233i	$-0.994486\pi$
$677$	−3.71076	−	13.8487i	−0.142616	−	0.532251i	0.857234	−	0.514927i	$-0.172181\pi$
$678$	15.6429	+	36.3639i	0.600762	+	1.39655i
$679$	−11.3028	−	19.5770i	−0.433761	−	0.751296i
$680$	7.93898	−	12.7312i	0.304446	−	0.488221i
$681$	−1.90471	+	16.1562i	−0.0729885	+	0.619106i
$682$	−16.5567	−	9.55903i	−0.633990	−	0.366034i
$683$	−26.4821	+	26.4821i	−1.01331	+	1.01331i	−0.0133997	+	0.999910i	$0.504265\pi$
$683$	−26.4821	+	26.4821i	−1.01331	+	1.01331i	−0.999910	+	0.0133997i	$0.995735\pi$
$684$	75.4061	+	18.0304i	2.88322	+	0.689408i
$685$	−3.46281	+	3.46281i	−0.132307	+	0.132307i
$686$	45.0691	−	12.0762i	1.72075	−	0.461072i
$687$	−6.01972	−	41.3838i	−0.229667	−	1.57889i
$688$	−23.0943	+	13.3335i	−0.880463	+	0.508336i
$689$	2.70547	−	1.56201i	0.103070	−	0.0595077i
$690$	3.41957	+	23.5085i	0.130181	+	0.894955i
$691$	16.7597	−	4.49074i	0.637568	−	0.170836i	0.0744663	−	0.997224i	$-0.476275\pi$
$691$	16.7597	−	4.49074i	0.637568	−	0.170836i	0.563101	+	0.826388i	$0.309608\pi$
$692$	−22.8654	+	22.8654i	−0.869213	+	0.869213i
$693$	−15.4028	−	3.68297i	−0.585105	−	0.139905i
$694$	−16.7628	+	16.7628i	−0.636309	+	0.636309i
$695$	−11.5386	−	6.66181i	−0.437684	−	0.252697i
$696$	2.75104	−	23.3350i	0.104278	−	0.884510i
$697$	16.0770	−	25.7816i	0.608959	−	0.976549i
$698$	−28.0171	−	48.5270i	−1.06046	−	1.83677i
$699$	−6.73701	−	15.6610i	−0.254817	−	0.592355i
$700$	10.0268	+	37.4203i	0.378976	+	1.41436i
$701$	17.0381			0.643521			0.321760	−	0.946821i	$-0.395725\pi$
$701$	17.0381			0.643521			0.321760	+	0.946821i	$0.395725\pi$
$702$	−1.53597	−	3.31977i	−0.0579714	−	0.125297i
$703$	−10.4076	−	10.4076i	−0.392531	−	0.392531i
$704$	−22.2120	+	5.95169i	−0.837147	+	0.224313i
$705$	−3.67653	−	8.54657i	−0.138466	−	0.321882i
$706$	−32.8814	+	18.9841i	−1.23751	+	0.714476i
$707$	−9.88206	+	36.8803i	−0.371653	+	1.38703i
$708$	−31.6198	+	24.9505i	−1.18834	+	0.937698i
$709$	0.127385	+	0.475408i	0.00478405	+	0.0178543i	0.968277	−	0.249881i	$-0.0803914\pi$
$709$	0.127385	+	0.475408i	0.00478405	+	0.0178543i	−0.963493	+	0.267735i	$0.913725\pi$
$710$	22.5649			0.846847
$711$	29.6274	+	16.0512i	1.11111	+	0.601968i
$712$			29.4866i			1.10506i
$713$	12.1200	−	20.9925i	0.453898	−	0.786175i
$714$	−33.9868	+	24.9925i	−1.27192	+	0.935322i
$715$	0.278370	+	0.482150i	0.0104104	+	0.0180314i
$716$	31.4423	−	18.1532i	1.17505	−	0.678418i
$717$	−9.79651	+	1.42501i	−0.365857	+	0.0532179i
$718$	−9.01436	+	15.6133i	−0.336413	+	0.582684i
$719$	27.0368	−	27.0368i	1.00830	−	1.00830i	0.00833737	−	0.999965i	$-0.497346\pi$
$719$	27.0368	−	27.0368i	1.00830	−	1.00830i	0.999965	−	0.00833737i	$-0.00265390\pi$
$720$	−6.35572	+	0.172256i	−0.236864	+	0.00641961i
$721$	13.6434	+	13.6434i	0.508107	+	0.508107i
$722$	−60.6467	−	35.0144i	−2.25704	−	1.30310i
$723$	−6.15669	−	0.725833i	−0.228970	−	0.0269940i
$724$	4.88142	−	18.2177i	0.181417	−	0.677056i
$725$	−3.60072	+	13.4381i	−0.133727	+	0.499077i
$726$	−9.86230	+	24.7530i	−0.366024	+	0.918669i
$727$	−7.70623	+	13.3476i	−0.285808	+	0.495034i	−0.972805	−	0.231626i	$-0.925595\pi$
$727$	−7.70623	+	13.3476i	−0.285808	+	0.495034i	0.686997	+	0.726661i	$0.258929\pi$
$728$	2.11403	−	2.11403i	0.0783510	−	0.0783510i
$729$	17.4786	−	20.5791i	0.647356	−	0.762188i
$730$	28.0465			1.03805
$731$	31.3440	+	33.5500i	1.15930	+	1.24089i
$732$	56.5208	−	24.3139i	2.08907	−	0.898668i
$733$	−2.33527	+	1.34827i	−0.0862552	+	0.0497994i	−0.542507	−	0.840051i	$-0.682525\pi$
$733$	−2.33527	+	1.34827i	−0.0862552	+	0.0497994i	0.456252	+	0.889851i	$0.349192\pi$
$734$	18.9100	+	5.06692i	0.697981	+	0.187023i
$735$	0.161251	−	1.36777i	0.00594783	−	0.0504509i
$736$	−4.18724	−	15.6270i	−0.154344	−	0.576019i
$737$	0.333481	+	0.333481i	0.0122839	+	0.0122839i
$738$	−52.8505	+	1.43238i	−1.94545	+	0.0527268i
$739$		−	47.1358i		−	1.73392i	−0.498378	−	0.866960i	$-0.666071\pi$
$739$		−	47.1358i		−	1.73392i	0.498378	−	0.866960i	$-0.333929\pi$
$740$	6.03826	+	3.48619i	0.221971	+	0.128155i
$741$	0.509951	+	3.50576i	0.0187335	+	0.128787i
$742$	−16.2265	+	60.5582i	−0.595695	+	2.22316i
$743$	−9.08629	−	2.43466i	−0.333344	−	0.0893192i	0.0882651	−	0.996097i	$-0.471868\pi$
$743$	−9.08629	−	2.43466i	−0.333344	−	0.0893192i	−0.421609	+	0.906778i	$0.638534\pi$
$744$	21.3525	+	15.9294i	0.782820	+	0.584001i
$745$	2.46371	+	9.19469i	0.0902634	+	0.336868i
$746$		−	22.2780i		−	0.815655i
$747$	−2.93202	−	9.86514i	−0.107277	−	0.360947i
$748$	−15.4130	−	28.9230i	−0.563555	−	1.05753i
$749$	−1.80659	+	3.12910i	−0.0660113	+	0.114335i
$750$	33.5551	+	3.95592i	1.22526	+	0.144450i
$751$	−30.5556	−	8.18734i	−1.11499	−	0.298760i	−0.346135	−	0.938185i	$-0.612506\pi$
$751$	−30.5556	−	8.18734i	−1.11499	−	0.298760i	−0.768854	+	0.639425i	$0.779173\pi$
$752$	−7.26750	−	12.5877i	−0.265019	−	0.459026i
$753$	2.76078	−	6.92917i	0.100608	−	0.252513i
$754$	2.24338	−	0.601113i	0.0816992	−	0.0218912i
$755$	9.31571	+	9.31571i	0.339034	+	0.339034i
$756$	44.8102	+	16.4614i	1.62973	+	0.598697i
$757$			25.3772i			0.922351i	0.887309	+	0.461176i	$0.152572\pi$
$757$			25.3772i			0.922351i	−0.887309	+	0.461176i	$0.847428\pi$
$758$	54.2342	−	14.5320i	1.96988	−	0.527827i
$759$	22.2841	+	8.87864i	0.808863	+	0.322274i
$760$	24.4237	+	6.54432i	0.885942	+	0.237388i
$761$	−14.4027	−	24.9463i	−0.522099	−	0.904301i	−0.999669	−	0.0257082i	$-0.991816\pi$
$761$	−14.4027	−	24.9463i	−0.522099	−	0.904301i	0.477571	−	0.878593i	$-0.341517\pi$
$762$	−23.2740	−	29.4952i	−0.843130	−	1.06850i
$763$	10.6562	+	6.15235i	0.385780	+	0.222730i
$764$	−73.1966			−2.64816
$765$	2.76039	+	10.5931i	0.0998021	+	0.382995i
$766$	−10.5907			−0.382658
$767$	−1.59386	−	0.920218i	−0.0575511	−	0.0332271i
$768$	48.1275	−	7.00067i	1.73665	−	0.252615i
$769$	8.80614	+	15.2527i	0.317558	+	0.550026i	0.979978	−	0.199106i	$-0.0638040\pi$
$769$	8.80614	+	15.2527i	0.317558	+	0.550026i	−0.662420	+	0.749132i	$0.730471\pi$
$770$	−10.7923	−	2.89178i	−0.388926	−	0.104212i
$771$	5.63181	+	38.7171i	0.202825	+	1.39436i
$772$	51.9587	−	13.9223i	1.87003	−	0.501074i
$773$			50.3558i			1.81117i	0.424163	+	0.905586i	$0.360569\pi$
$773$			50.3558i			1.81117i	−0.424163	+	0.905586i	$0.639431\pi$
$774$	18.5795	−	77.7027i	0.667827	−	2.79297i
$775$	−11.1533	−	11.1533i	−0.400638	−	0.400638i
$776$	−36.3472	+	9.73921i	−1.30479	+	0.349617i
$777$	−5.61386	−	7.11445i	−0.201396	−	0.255229i
$778$	22.7220	+	39.3557i	0.814625	+	1.41097i
$779$	49.4598	+	13.2527i	1.77208	+	0.474827i
$780$	−0.663165	−	1.54161i	−0.0237451	−	0.0551985i
$781$	11.3926	−	19.7325i	0.407658	−	0.706084i
$782$	56.3915	−	30.0509i	2.01656	−	1.07462i
$783$	10.9802	+	13.1654i	0.392400	+	0.470494i
$784$		−	2.15162i		−	0.0768434i
$785$	0.993437	+	3.70756i	0.0354573	+	0.132328i
$786$	−48.4708	+	20.8510i	−1.72889	+	0.743730i
$787$	15.7202	+	4.21222i	0.560366	+	0.150150i	0.527874	−	0.849322i	$-0.322989\pi$
$787$	15.7202	+	4.21222i	0.560366	+	0.150150i	0.0324914	+	0.999472i	$0.489656\pi$
$788$	−10.5067	+	39.2115i	−0.374285	+	1.39685i
$789$	31.1436	−	24.5748i	1.10874	−	0.874886i
$790$	20.5875	+	11.8862i	0.732472	+	0.422893i
$791$		−	23.6062i		−	0.839339i
$792$	−12.5578	+	23.1793i	−0.446224	+	0.823640i
$793$	1.98798	+	1.98798i	0.0705951	+	0.0705951i
$794$	14.2855	+	53.3141i	0.506972	+	1.89205i
$795$	13.0395	+	9.72775i	0.462463	+	0.345008i
$796$	−12.1742	−	3.26208i	−0.431504	−	0.115621i
$797$	−35.6622	+	20.5896i	−1.26322	+	0.729320i	−0.973696	−	0.227851i	$-0.926830\pi$
$797$	−35.6622	+	20.5896i	−1.26322	+	0.729320i	−0.289524	+	0.957171i	$0.593497\pi$
$798$	−56.9855	−	42.5125i	−2.01727	−	1.50493i
$799$	−18.2866	+	17.0842i	−0.646933	+	0.604396i
$800$	−10.5273			−0.372196
$801$	−15.6190	−	14.7947i	−0.551871	−	0.522746i
$802$	−3.95238	+	3.95238i	−0.139564	+	0.139564i
$803$	14.1601	−	24.5260i	0.499698	−	0.865502i
$804$	−0.880617	−	1.11601i	−0.0310570	−	0.0393585i
$805$	3.66653	−	13.6837i	0.129228	−	0.482286i
$806$	−0.681524	+	2.54348i	−0.0240057	+	0.0895904i
$807$	−13.8370	−	32.1660i	−0.487087	−	1.13230i
$808$	55.0419	+	31.7785i	1.93637	+	1.11796i
$809$	−8.74059	−	8.74059i	−0.307303	−	0.307303i	0.536560	−	0.843862i	$-0.319724\pi$
$809$	−8.74059	−	8.74059i	−0.307303	−	0.307303i	−0.843862	+	0.536560i	$0.819724\pi$
$810$	12.7199	−	14.1791i	0.446932	−	0.498201i
$811$	32.9521	−	32.9521i	1.15711	−	1.15711i	0.172011	−	0.985095i	$-0.444974\pi$
$811$	32.9521	−	32.9521i	1.15711	−	1.15711i	0.985095	−	0.172011i	$-0.0550265\pi$
$812$	−15.1554	+	26.2499i	−0.531849	+	0.921189i
$813$	−13.6323	+	34.2151i	−0.478105	+	1.19998i
$814$	9.37583	−	5.41314i	0.328623	−	0.189730i
$815$	1.29995	+	2.25157i	0.0455351	+	0.0788691i
$816$	6.22043	+	15.9305i	0.217759	+	0.557679i
$817$	−38.6883	+	67.0101i	−1.35353	+	2.34439i
$818$		−	6.22757i		−	0.217742i
$819$	0.0590971	+	2.18050i	0.00206502	+	0.0761928i
$820$	−24.2562			−0.847063
$821$	−3.92565	−	14.6507i	−0.137006	−	0.511314i	−0.999982	−	0.00606816i	$-0.998068\pi$
$821$	−3.92565	−	14.6507i	−0.137006	−	0.511314i	0.862975	−	0.505246i	$-0.168598\pi$
$822$	−3.29938	−	22.6823i	−0.115079	−	0.791136i
$823$	−1.47525	+	5.50571i	−0.0514240	+	0.191917i	−0.986860	−	0.161580i	$-0.948341\pi$
$823$	−1.47525	+	5.50571i	−0.0514240	+	0.191917i	0.935436	+	0.353497i	$0.115008\pi$
$824$	27.8151	−	16.0590i	0.968984	−	0.559443i
$825$	9.33350	−	12.5110i	0.324951	−	0.435578i
$826$	35.6764	−	9.55947i	1.24134	−	0.332617i
$827$	−8.60731	−	8.60731i	−0.299306	−	0.299306i	0.541436	−	0.840742i	$-0.317881\pi$
$827$	−8.60731	−	8.60731i	−0.299306	−	0.299306i	−0.840742	+	0.541436i	$0.817881\pi$
$828$	−63.5764	−	34.4438i	−2.20943	−	1.19700i
$829$	−2.24842			−0.0780910			−0.0390455	−	0.999237i	$-0.512432\pi$
$829$	−2.24842			−0.0780910			−0.0390455	+	0.999237i	$0.512432\pi$
$830$	−1.87921	−	7.01331i	−0.0652284	−	0.243436i
$831$	4.89894	+	0.577553i	0.169942	+	0.0200351i
$832$	1.58364	+	2.74294i	0.0549027	+	0.0950943i
$833$	−3.60878	+	0.836674i	−0.125037	+	0.0289890i
$834$	57.2852	−	24.6428i	1.98363	−	0.853309i
$835$	1.35111	+	0.780061i	0.0467569	+	0.0269951i
$836$	39.0550	−	39.0550i	1.35074	−	1.35074i
$837$	−19.1513	+	3.31789i	−0.661965	+	0.114683i
$838$	35.6440	−	35.6440i	1.23130	−	1.23130i
$839$	20.0266	−	5.36611i	0.691395	−	0.185259i	0.104022	−	0.994575i	$-0.466829\pi$
$839$	20.0266	−	5.36611i	0.691395	−	0.185259i	0.587373	+	0.809316i	$0.300162\pi$
$840$	14.4631	+	5.76251i	0.499024	+	0.198825i
$841$	15.6881	−	9.05754i	0.540970	−	0.312329i
$842$	44.2061	−	25.5224i	1.52344	−	0.879560i
$843$	3.97376	−	3.13561i	0.136863	−	0.107996i
$844$	−19.9749	+	5.35225i	−0.687564	+	0.184232i
$845$	−8.08105	+	8.08105i	−0.277997	+	0.277997i
$846$	42.3523	+	10.1269i	1.45610	+	0.348169i
$847$	11.2355	−	11.2355i	0.386056	−	0.386056i
$848$	22.0104	+	12.7077i	0.755839	+	0.436384i
$849$	36.5085	+	27.2361i	1.25297	+	0.934742i
$850$	−9.39082	−	40.5050i	−0.322102	−	1.38931i
$851$	6.86339	+	11.8877i	0.235274	+	0.407507i
$852$	−41.0689	+	55.0506i	−1.40700	+	1.88600i
$853$	−2.79718	−	10.4392i	−0.0957736	−	0.357432i	0.901362	−	0.433066i	$-0.142568\pi$
$853$	−2.79718	−	10.4392i	−0.0957736	−	0.357432i	−0.997136	+	0.0756344i	$0.975902\pi$
$854$	−56.4213			−1.93070
$855$	−15.7210	+	9.65366i	−0.537647	+	0.330148i
$856$	4.25291	+	4.25291i	0.145361	+	0.145361i
$857$	−8.33591	+	2.23360i	−0.284749	+	0.0762983i	−0.398367	−	0.917226i	$-0.630423\pi$
$857$	−8.33591	+	2.23360i	−0.284749	+	0.0762983i	0.113617	+	0.993525i	$0.463756\pi$
$858$	−2.58788	−	0.305094i	−0.0883487	−	0.0104157i
$859$	−18.7991	+	10.8537i	−0.641416	+	0.370322i	−0.785160	−	0.619293i	$-0.787419\pi$
$859$	−18.7991	+	10.8537i	−0.641416	+	0.370322i	0.143744	+	0.989615i	$0.454086\pi$
$860$	9.48681	−	35.4052i	0.323497	−	1.20731i
$861$	29.2887	+	11.6695i	0.998157	+	0.397694i
$862$	−17.9779	−	67.0943i	−0.612329	−	2.28524i
$863$	−34.2485			−1.16583			−0.582916	−	0.812532i	$-0.698088\pi$
$863$	−34.2485			−1.16583			−0.582916	+	0.812532i	$0.698088\pi$
$864$	−7.47236	+	10.6040i	−0.254215	+	0.360756i
$865$		−	7.69438i		−	0.261617i
$866$	−13.3435	+	23.1116i	−0.453431	+	0.785365i
$867$	24.3005	−	16.6279i	0.825288	−	0.564713i
$868$	−17.1827	−	29.7613i	−0.583219	−	1.01016i
$869$	20.7884	−	12.0022i	0.705199	−	0.407147i
$870$	7.49201	+	9.49462i	0.254003	+	0.321898i
$871$	0.0324787	−	0.0562547i	0.00110050	−	0.00190612i
$872$	14.4833	−	14.4833i	0.490467	−	0.490467i
$873$	13.0782	−	24.1397i	0.442629	−	0.817005i
$874$	76.1460	+	76.1460i	2.57568	+	2.57568i
$875$	−17.4491	−	10.0742i	−0.589886	−	0.340571i
$876$	−51.0455	+	68.4235i	−1.72467	+	2.31182i
$877$	3.31755	−	12.3813i	0.112026	−	0.418086i	−0.887021	−	0.461728i	$-0.847230\pi$
$877$	3.31755	−	12.3813i	0.112026	−	0.418086i	0.999047	+	0.0436424i	$0.0138962\pi$
$878$	−13.2531	+	49.4611i	−0.447269	+	1.66923i
$879$	28.5062	−	4.14653i	0.961490	−	0.139859i
$880$	−2.26468	+	3.92253i	−0.0763422	+	0.132229i
$881$	−21.0371	+	21.0371i	−0.708759	+	0.708759i	−0.966274	−	0.257515i	$-0.917096\pi$
$881$	−21.0371	+	21.0371i	−0.708759	+	0.708759i	0.257515	+	0.966274i	$0.417096\pi$
$882$	4.67992	+	4.43294i	0.157581	+	0.149265i
$883$	−2.40155			−0.0808187			−0.0404093	−	0.999183i	$-0.512866\pi$
$883$	−2.40155			−0.0808187			−0.0404093	+	0.999183i	$0.512866\pi$
$884$	−3.29849	+	3.08161i	−0.110940	+	0.103646i
$885$	1.12213	−	9.51816i	0.0377199	−	0.319949i
$886$	59.4845	−	34.3434i	1.99842	−	1.15379i
$887$	−41.6783	−	11.1677i	−1.39942	−	0.374973i	−0.521283	−	0.853384i	$-0.674546\pi$
$887$	−41.6783	−	11.1677i	−1.39942	−	0.374973i	−0.878136	+	0.478410i	$0.841213\pi$
$888$	−13.8579	+	5.96133i	−0.465039	+	0.200049i
$889$	5.79890	+	21.6418i	0.194489	+	0.725842i
$890$	−10.7323	−	10.7323i	−0.359749	−	0.359749i
$891$	−5.97722	−	18.2820i	−0.200244	−	0.612469i
$892$			13.2240i			0.442774i
$893$	−36.5242	−	21.0872i	−1.22224	−	0.705658i
$894$	−41.3894	−	16.4907i	−1.38427	−	0.551532i
$895$	−2.23594	+	8.34462i	−0.0747391	+	0.278930i
$896$	−49.4836	−	13.2591i	−1.65313	−	0.442956i
$897$	0.386833	−	3.28121i	0.0129160	−	0.109556i
$898$	−8.74434	−	32.6343i	−0.291802	−	1.08902i
$899$		−	12.3410i		−	0.411595i
$900$	−32.3563	+	34.1590i	−1.07854	+	1.13863i
$901$	12.7550	−	41.8583i	0.424930	−	1.39450i
$902$	−18.8317	+	32.6175i	−0.627028	+	1.08605i
$903$	−28.4883	+	38.1869i	−0.948030	+	1.27078i
$904$	−37.9561	−	10.1703i	−1.26240	−	0.338259i
$905$	2.24388	+	3.88651i	0.0745890	+	0.129192i
$906$	−61.0202	+	8.87605i	−2.02726	+	0.294887i
$907$	22.1593	−	5.93756i	0.735787	−	0.197153i	0.128582	−	0.991699i	$-0.458957\pi$
$907$	22.1593	−	5.93756i	0.735787	−	0.197153i	0.607205	+	0.794545i	$0.292291\pi$
$908$	−24.7016	−	24.7016i	−0.819750	−	0.819750i
$909$	−44.4500	+	13.2110i	−1.47431	+	0.438181i
$910$			1.53890i			0.0510140i
$911$	−40.1442	+	10.7566i	−1.33004	+	0.356382i	−0.852728	−	0.522355i	$-0.825054\pi$
$911$	−40.1442	+	10.7566i	−1.33004	+	0.356382i	−0.477307	+	0.878737i	$0.658387\pi$
$912$	−22.6257	+	17.8534i	−0.749211	+	0.591187i
$913$	−7.08174	−	1.89755i	−0.234372	−	0.0627997i
$914$	−6.72084	−	11.6408i	−0.222306	−	0.385045i
$915$	−5.41892	+	13.6007i	−0.179144	+	0.449626i
$916$	77.7699	+	44.9005i	2.56959	+	1.48355i
$917$	31.4655			1.03908
$918$	−47.4659	−	19.2915i	−1.56661	−	0.636714i
$919$	−55.6614			−1.83610			−0.918051	−	0.396463i	$-0.870238\pi$
$919$	−55.6614			−1.83610			−0.918051	+	0.396463i	$0.870238\pi$
$920$	−20.4221	−	11.7907i	−0.673298	−	0.388729i
$921$	20.9380	−	52.5515i	0.689932	−	1.73163i
$922$	−9.76656	−	16.9162i	−0.321645	−	0.557105i
$923$	−3.03135	−	0.812249i	−0.0997782	−	0.0267355i
$924$	26.6972	−	21.0662i	0.878273	−	0.693027i
$925$	8.62774	−	2.31180i	0.283678	−	0.0760114i
$926$			45.0782i			1.48136i
$927$	−5.44960	+	22.7912i	−0.178988	+	0.748560i
$928$	−5.82417	−	5.82417i	−0.191188	−	0.191188i
$929$	−18.5040	+	4.95812i	−0.607096	+	0.162671i	−0.549255	−	0.835655i	$-0.685088\pi$
$929$	−18.5040	+	4.95812i	−0.607096	+	0.162671i	−0.0578410	+	0.998326i	$0.518422\pi$
$930$	−13.5696	+	1.97385i	−0.444966	+	0.0647250i
$931$	−3.12154	−	5.40667i	−0.102304	−	0.177196i
$932$	35.3620	+	9.47522i	1.15832	+	0.310371i
$933$	11.0209	−	14.7728i	0.360807	−	0.483641i
$934$	5.47754	−	9.48738i	0.179231	−	0.310437i
$935$	7.45969	+	2.27310i	0.243958	+	0.0743384i
$936$	3.53146	+	0.844407i	0.115429	+	0.0276003i
$937$			47.9982i			1.56803i	0.620740	+	0.784017i	$0.286832\pi$
$937$			47.9982i			1.56803i	−0.620740	+	0.784017i	$0.713168\pi$
$938$	0.337397	+	1.25918i	0.0110164	+	0.0411138i
$939$	−3.17502	+	26.9313i	−0.103613	+	0.878868i
$940$	19.2978	+	5.17083i	0.629425	+	0.168654i
$941$	−11.6938	+	43.6417i	−0.381205	+	1.42268i	0.462857	+	0.886433i	$0.346824\pi$
$941$	−11.6938	+	43.6417i	−0.381205	+	1.42268i	−0.844062	+	0.536245i	$0.819842\pi$
$942$	−16.6893	−	6.64952i	−0.543768	−	0.216653i
$943$	−41.3562	−	23.8770i	−1.34674	−	0.777543i
$944$		−	14.9729i		−	0.487325i
$945$	−10.3092	+	4.76978i	−0.335357	+	0.155161i
$946$	−40.2445	−	40.2445i	−1.30846	−	1.30846i
$947$	−14.8696	−	55.4941i	−0.483197	−	1.80332i	−0.588046	−	0.808827i	$-0.700103\pi$
$947$	−14.8696	−	55.4941i	−0.483197	−	1.80332i	0.104849	−	0.994488i	$-0.466564\pi$
$948$	−66.4682	+	28.5931i	−2.15879	+	0.928660i
$949$	−3.76774	−	1.00956i	−0.122306	−	0.0327718i
$950$	60.6844	−	35.0362i	1.96886	−	1.13672i
$951$	−5.83052	+	49.4559i	−0.189068	+	1.60372i
$952$	1.42273	−	41.8528i	0.0461110	−	1.35646i
$953$	8.00149			0.259194			0.129597	−	0.991567i	$-0.458632\pi$
$953$	8.00149			0.259194			0.129597	+	0.991567i	$0.458632\pi$
$954$	−72.9878	+	21.6927i	−2.36307	+	0.702328i
$955$	12.3156	−	12.3156i	0.398523	−	0.398523i
$956$	10.6290	−	18.4099i	0.343766	−	0.595420i
$957$	12.0854	−	1.75795i	0.390665	−	0.0568264i
$958$	1.59929	−	5.96863i	0.0516707	−	0.192838i
$959$	−3.53766	+	13.2027i	−0.114237	+	0.426338i
$960$	−9.86246	+	13.2201i	−0.318310	+	0.426676i
$961$	−14.7295	−	8.50407i	−0.475144	−	0.274325i
$962$	−1.05440	−	1.05440i	−0.0339952	−	0.0339952i
$963$	−4.38663	+	0.118889i	−0.141357	+	0.00383115i
$964$	9.41312	−	9.41312i	0.303176	−	0.303176i
$965$	−6.39976	+	11.0847i	−0.206016	+	0.356829i
$966$	41.0730	+	52.0518i	1.32150	+	1.67474i
$967$	−11.0429	+	6.37562i	−0.355116	+	0.205026i	−0.666936	−	0.745115i	$-0.732395\pi$
$967$	−11.0429	+	6.37562i	−0.355116	+	0.205026i	0.311820	+	0.950141i	$0.399061\pi$
$968$	−13.2248	−	22.9060i	−0.425061	−	0.736228i
$969$	38.7428	+	31.0063i	1.24460	+	0.996066i
$970$	9.68462	−	16.7742i	0.310954	−	0.538589i
$971$			4.77766i			0.153322i	0.997057	+	0.0766612i	$0.0244260\pi$
$971$			4.77766i			0.153322i	−0.997057	+	0.0766612i	$0.975574\pi$
$972$	11.4412	+	56.8385i	0.366978	+	1.82310i
$973$	−37.1876			−1.19218
$974$	22.9831	+	85.7743i	0.736427	+	2.74838i
$975$	−1.99720	−	0.795742i	−0.0639616	−	0.0254841i
$976$	−5.91980	+	22.0930i	−0.189488	+	0.707179i
$977$	−20.3125	+	11.7274i	−0.649854	+	0.375193i	−0.788400	−	0.615163i	$-0.789090\pi$
$977$	−20.3125	+	11.7274i	−0.649854	+	0.375193i	0.138547	+	0.990356i	$0.455757\pi$
$978$	−12.0850	−	1.42474i	−0.386436	−	0.0455583i
$979$	−14.8037	+	3.96664i	−0.473129	+	0.126774i
$980$	2.09121	+	2.09121i	0.0668014	+	0.0668014i
$981$	0.404878	+	14.9387i	0.0129267	+	0.476957i
$982$	−26.2055			−0.836251
$983$	−0.822556	−	3.06982i	−0.0262354	−	0.0979120i	0.951567	−	0.307442i	$-0.0994731\pi$
$983$	−0.822556	−	3.06982i	−0.0262354	−	0.0979120i	−0.977802	+	0.209530i	$0.932806\pi$
$984$	31.3817	−	42.0654i	1.00041	−	1.34100i
$985$	−4.82968	−	8.36525i	−0.153886	−	0.266539i
$986$	17.2137	−	27.6046i	0.548197	−	0.879109i
$987$	−20.8140	−	15.5277i	−0.662515	−	0.494251i
$988$	−6.58815	−	3.80367i	−0.209597	−	0.121011i
$989$	51.0266	−	51.0266i	1.62255	−	1.62255i
$990$	−3.86592	−	13.0074i	−0.122867	−	0.413402i
$991$	−36.5208	+	36.5208i	−1.16012	+	1.16012i	−0.175674	+	0.984448i	$0.556211\pi$
$991$	−36.5208	+	36.5208i	−1.16012	+	1.16012i	−0.984448	+	0.175674i	$0.943789\pi$
$992$	9.02024	−	2.41696i	0.286393	−	0.0767387i
$993$	4.89687	−	3.86402i	0.155398	−	0.122621i
$994$	54.5432	−	31.4905i	1.73000	−	0.998819i
$995$	2.59721	−	1.49950i	0.0823372	−	0.0475374i
$996$	20.5302	+	8.17984i	0.650526	+	0.259188i
$997$	18.8632	−	5.05438i	0.597404	−	0.160074i	0.0525690	−	0.998617i	$-0.483259\pi$
$997$	18.8632	−	5.05438i	0.597404	−	0.160074i	0.544835	+	0.838543i	$0.316592\pi$
$998$	41.6871	−	41.6871i	1.31958	−	1.31958i
$999$	3.79540	−	10.3316i	0.120081	−	0.326876i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	153.2.n.a.106.15	yes	64
3.2	odd	2		459.2.o.a.208.2		64
9.4	even	3	inner	153.2.n.a.4.2	✓	64
9.5	odd	6		459.2.o.a.361.15		64
17.13	even	4	inner	153.2.n.a.115.2	yes	64
51.47	odd	4		459.2.o.a.370.15		64
153.13	even	12	inner	153.2.n.a.13.15	yes	64
153.149	odd	12		459.2.o.a.64.2		64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
153.2.n.a.4.2	✓	64	9.4	even	3	inner
153.2.n.a.13.15	yes	64	153.13	even	12	inner
153.2.n.a.106.15	yes	64	1.1	even	1	trivial
153.2.n.a.115.2	yes	64	17.13	even	4	inner
459.2.o.a.64.2		64	153.149	odd	12
459.2.o.a.208.2		64	3.2	odd	2
459.2.o.a.361.15		64	9.5	odd	6
459.2.o.a.370.15		64	51.47	odd	4

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 153 = 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	153.n (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(2.07111 + 1.19576i) q^{2} +(0.641087 - 1.60904i) q^{3} +(1.85966 + 3.22103i) q^{4} +(-0.854845 - 0.229055i) q^{5} +(3.25178 - 2.56591i) q^{6} +(-2.38596 + 0.639316i) q^{7} +4.11179i q^{8} +(-2.17801 - 2.06307i) q^{9} +O(q^{10})\)	\(q+(2.07111 + 1.19576i) q^{2} +(0.641087 - 1.60904i) q^{3} +(1.85966 + 3.22103i) q^{4} +(-0.854845 - 0.229055i) q^{5} +(3.25178 - 2.56591i) q^{6} +(-2.38596 + 0.639316i) q^{7} +4.11179i q^{8} +(-2.17801 - 2.06307i) q^{9} +(-1.49658 - 1.49658i) q^{10} +(-2.06432 + 0.553133i) q^{11} +(6.37497 - 0.927309i) q^{12} +(0.147179 + 0.254921i) q^{13} +(-5.70605 - 1.52893i) q^{14} +(-0.916589 + 1.22863i) q^{15} +(-1.19737 + 2.07391i) q^{16} +(3.94406 + 1.20183i) q^{17} +(-2.04398 - 6.87722i) q^{18} +6.94854i q^{19} +(-0.851931 - 3.17945i) q^{20} +(-0.500924 + 4.24896i) q^{21} +(-4.93685 - 1.32282i) q^{22} +(1.67723 - 6.25950i) q^{23} +(6.61603 + 2.63602i) q^{24} +(-3.65183 - 2.10839i) q^{25} +0.703959i q^{26} +(-4.71586 + 2.18190i) q^{27} +(-6.49634 - 6.49634i) q^{28} +(-0.853904 - 3.18681i) q^{29} +(-3.36750 + 1.44862i) q^{30} +(3.61311 + 0.968131i) q^{31} +(2.16206 - 1.24826i) q^{32} +(-0.433397 + 3.67618i) q^{33} +(6.73149 + 7.20525i) q^{34} +2.18606 q^{35} +(2.59484 - 10.8521i) q^{36} +(-1.49781 + 1.49781i) q^{37} +(-8.30876 + 14.3912i) q^{38} +(0.504532 - 0.0733896i) q^{39} +(0.941827 - 3.51495i) q^{40} +(1.90726 - 7.11801i) q^{41} +(-6.11819 + 8.20108i) q^{42} +(9.64376 + 5.56783i) q^{43} +(-5.62060 - 5.62060i) q^{44} +(1.38931 + 2.26249i) q^{45} +(10.9586 - 10.9586i) q^{46} +(-3.03477 + 5.25638i) q^{47} +(2.56938 + 3.25618i) q^{48} +(-0.778101 + 0.449237i) q^{49} +(-5.04223 - 8.73340i) q^{50} +(4.46228 - 5.57567i) q^{51} +(-0.547406 + 0.948134i) q^{52} -10.6130i q^{53} +(-12.3761 - 1.12006i) q^{54} +1.89137 q^{55} +(-2.62873 - 9.81057i) q^{56} +(11.1805 + 4.45462i) q^{57} +(2.04212 - 7.62130i) q^{58} +(-5.41473 + 3.12619i) q^{59} +(-5.66202 - 0.667515i) q^{60} +(9.22562 - 2.47200i) q^{61} +(6.32551 + 6.32551i) q^{62} +(6.51561 + 3.52996i) q^{63} +10.7600 q^{64} +(-0.0674240 - 0.251630i) q^{65} +(-5.29343 + 7.09553i) q^{66} +(-0.110338 - 0.191110i) q^{67} +(3.46350 + 14.9389i) q^{68} +(-8.99653 - 6.71161i) q^{69} +(4.52758 + 2.61400i) q^{70} +(-7.53881 + 7.53881i) q^{71} +(8.48291 - 8.95554i) q^{72} +(-9.37016 + 9.37016i) q^{73} +(-4.89316 + 1.31112i) q^{74} +(-5.73362 + 4.52428i) q^{75} +(-22.3815 + 12.9220i) q^{76} +(4.57176 - 2.63951i) q^{77} +(1.13270 + 0.451299i) q^{78} +(-10.8493 + 2.90706i) q^{79} +(1.49861 - 1.49861i) q^{80} +(0.487488 + 8.98679i) q^{81} +(12.4616 - 12.4616i) q^{82} +(2.97094 + 1.71527i) q^{83} +(-14.6176 + 6.28814i) q^{84} +(-3.09628 - 1.93078i) q^{85} +(13.3155 + 23.0632i) q^{86} +(-5.67513 - 0.669061i) q^{87} +(-2.27437 - 8.48806i) q^{88} +7.17123 q^{89} +(0.172024 + 6.34714i) q^{90} +(-0.514137 - 0.514137i) q^{91} +(23.2811 - 6.23816i) q^{92} +(3.87408 - 5.19298i) q^{93} +(-12.5707 + 7.25769i) q^{94} +(1.59160 - 5.93993i) q^{95} +(-0.622438 - 4.27908i) q^{96} +(2.36860 + 8.83975i) q^{97} -2.14871 q^{98} +(5.63727 + 3.05411i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

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