LMFDB - Embedded newform 847.2.r.d.215.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [847,2,Mod(40,847)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(847, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([25, 21]))

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

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

chi := DirichletCharacter("847.40");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 847 = 7 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	847.r (of order $30$, degree $8$, not 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:	$6.76332905120$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$6$ over $\Q(\zeta_{30})$
Twist minimal:	no (minimal twist has level 77)
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			215.3
Character	$\chi$	$=$	847.215
Dual form			847.2.r.d.717.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0996681 + 0.468902i) q^{2} +(2.22665 + 0.234030i) q^{3} +(1.61716 + 0.720004i) q^{4} +(0.999739 - 0.900169i) q^{5} +(-0.331663 + 1.02075i) q^{6} +(0.103533 + 2.64372i) q^{7} +(-1.06233 + 1.46217i) q^{8} +(1.96875 + 0.418472i) q^{9} +O(q^{10})$	\(q+(-0.0996681 + 0.468902i) q^{2} +(2.22665 + 0.234030i) q^{3} +(1.61716 + 0.720004i) q^{4} +(0.999739 - 0.900169i) q^{5} +(-0.331663 + 1.02075i) q^{6} +(0.103533 + 2.64372i) q^{7} +(-1.06233 + 1.46217i) q^{8} +(1.96875 + 0.418472i) q^{9} +(0.322449 + 0.558497i) q^{10} +(3.43234 + 1.98166i) q^{12} +(-1.46606 - 4.51207i) q^{13} +(-1.24997 - 0.214948i) q^{14} +(2.43673 - 1.77039i) q^{15} +(1.78925 + 1.98716i) q^{16} +(1.68173 - 0.357463i) q^{17} +(-0.392444 + 0.881444i) q^{18} +(2.06213 - 0.918120i) q^{19} +(2.26486 - 0.735897i) q^{20} +(-0.388179 + 5.91088i) q^{21} +(-0.646028 + 1.11895i) q^{23} +(-2.70763 + 3.00713i) q^{24} +(-0.333469 + 3.17274i) q^{25} +(2.26184 - 0.237729i) q^{26} +(-2.10221 - 0.683050i) q^{27} +(-1.73606 + 4.34986i) q^{28} +(4.20132 + 5.78262i) q^{29} +(0.587275 + 1.31904i) q^{30} +(-7.00306 - 6.30558i) q^{31} +(-4.24053 + 2.44827i) q^{32} +0.824195i q^{34} +(2.48331 + 2.54984i) q^{35} +(2.88248 + 2.09424i) q^{36} +(-0.273631 - 2.60342i) q^{37} +(0.224979 + 1.05844i) q^{38} +(-2.20844 - 10.3899i) q^{39} +(0.254149 + 2.41807i) q^{40} +(-1.75211 - 1.27298i) q^{41} +(-2.73293 - 0.771144i) q^{42} -5.22507i q^{43} +(2.34493 - 1.35385i) q^{45} +(-0.460290 - 0.414447i) q^{46} +(2.58305 + 5.80163i) q^{47} +(3.51898 + 4.84346i) q^{48} +(-6.97856 + 0.547428i) q^{49} +(-1.45447 - 0.472585i) q^{50} +(3.82829 - 0.402369i) q^{51} +(0.877862 - 8.35230i) q^{52} +(7.29906 - 8.10643i) q^{53} +(0.529807 - 0.917653i) q^{54} +(-3.97557 - 2.65713i) q^{56} +(4.80651 - 1.56173i) q^{57} +(-3.13022 + 1.39366i) q^{58} +(2.38785 - 5.36320i) q^{59} +(5.21527 - 1.10854i) q^{60} +(-3.97747 - 4.41743i) q^{61} +(3.65468 - 2.65528i) q^{62} +(-0.902492 + 5.24817i) q^{63} +(0.927266 + 2.85383i) q^{64} +(-5.52731 - 3.19119i) q^{65} +(-0.828067 - 1.43425i) q^{67} +(2.97700 + 0.632781i) q^{68} +(-1.70035 + 2.34032i) q^{69} +(-1.44313 + 0.910289i) q^{70} +(-4.83639 + 14.8849i) q^{71} +(-2.70335 + 2.43411i) q^{72} +(-7.90013 - 3.51737i) q^{73} +(1.24802 + 0.131172i) q^{74} +(-1.48504 + 6.98654i) q^{75} +3.99584 q^{76} +5.09196 q^{78} +(0.927266 - 4.36244i) q^{79} +(3.57757 + 0.376017i) q^{80} +(-10.0372 - 4.46886i) q^{81} +(0.771534 - 0.694692i) q^{82} +(2.49460 - 7.67760i) q^{83} +(-4.88360 + 9.27932i) q^{84} +(1.35952 - 1.87121i) q^{85} +(2.45005 + 0.520773i) q^{86} +(8.00156 + 13.8591i) q^{87} +(-2.96156 - 1.70986i) q^{89} +(0.401107 + 1.23448i) q^{90} +(11.7769 - 4.34301i) q^{91} +(-1.85038 + 1.34438i) q^{92} +(-14.1177 - 15.6792i) q^{93} +(-2.97784 + 0.632960i) q^{94} +(1.23513 - 2.77415i) q^{95} +(-10.0152 + 4.45903i) q^{96} +(-6.32443 + 2.05493i) q^{97} +(0.438850 - 3.32682i) q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 5 q^{2} + 6 q^{3} + q^{4} + 15 q^{5} - 10 q^{7} + 10 q^{8} + 4 q^{9}+O(q^{10}) $ 48 * q + 5 * q^2 + 6 * q^3 + q^4 + 15 * q^5 - 10 * q^7 + 10 * q^8 + 4 * q^9	$ 48 q + 5 q^{2} + 6 q^{3} + q^{4} + 15 q^{5} - 10 q^{7} + 10 q^{8} + 4 q^{9} - 12 q^{12} - 8 q^{14} - 10 q^{15} + 23 q^{16} - 5 q^{18} - 30 q^{19} + 10 q^{23} - 60 q^{24} + 11 q^{25} + 12 q^{26} + 60 q^{28} + 20 q^{29} - 30 q^{30} - 6 q^{31} - 45 q^{35} + 2 q^{36} + 19 q^{37} + 18 q^{38} + 10 q^{39} + 75 q^{40} - 86 q^{42} - 84 q^{45} + 10 q^{46} + 3 q^{47} - 36 q^{49} - 10 q^{50} - 20 q^{51} + 60 q^{52} - 3 q^{53} - 8 q^{56} - 10 q^{57} - 9 q^{58} - 63 q^{59} + 5 q^{60} - 90 q^{61} + 70 q^{63} - 18 q^{64} + 44 q^{67} + 165 q^{68} + 8 q^{70} + 30 q^{71} - 50 q^{72} + 60 q^{74} + 78 q^{75} + 92 q^{78} + 70 q^{79} + 30 q^{80} + 31 q^{81} + 96 q^{82} - 65 q^{84} + 80 q^{85} + 73 q^{86} + 6 q^{89} - 17 q^{91} - 70 q^{92} + 58 q^{93} + 90 q^{94} + 50 q^{95} - 150 q^{96}+O(q^{100}) $ 48 * q + 5 * q^2 + 6 * q^3 + q^4 + 15 * q^5 - 10 * q^7 + 10 * q^8 + 4 * q^9 - 12 * q^12 - 8 * q^14 - 10 * q^15 + 23 * q^16 - 5 * q^18 - 30 * q^19 + 10 * q^23 - 60 * q^24 + 11 * q^25 + 12 * q^26 + 60 * q^28 + 20 * q^29 - 30 * q^30 - 6 * q^31 - 45 * q^35 + 2 * q^36 + 19 * q^37 + 18 * q^38 + 10 * q^39 + 75 * q^40 - 86 * q^42 - 84 * q^45 + 10 * q^46 + 3 * q^47 - 36 * q^49 - 10 * q^50 - 20 * q^51 + 60 * q^52 - 3 * q^53 - 8 * q^56 - 10 * q^57 - 9 * q^58 - 63 * q^59 + 5 * q^60 - 90 * q^61 + 70 * q^63 - 18 * q^64 + 44 * q^67 + 165 * q^68 + 8 * q^70 + 30 * q^71 - 50 * q^72 + 60 * q^74 + 78 * q^75 + 92 * q^78 + 70 * q^79 + 30 * q^80 + 31 * q^81 + 96 * q^82 - 65 * q^84 + 80 * q^85 + 73 * q^86 + 6 * q^89 - 17 * q^91 - 70 * q^92 + 58 * q^93 + 90 * q^94 + 50 * q^95 - 150 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/847\mathbb{Z}\right)^\times$.

$n$	$122$	$365$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{9}{10}\right)$

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 $

$2$	−0.0996681	+	0.468902i	−0.0704760	+	0.331564i	−0.999234	−	0.0391220i	$-0.987544\pi$
$2$	−0.0996681	+	0.468902i	−0.0704760	+	0.331564i	0.928758	+	0.370686i	$0.120877\pi$
$3$	2.22665	+	0.234030i	1.28556	+	0.135117i	0.722541	−	0.691329i	$-0.242974\pi$
$3$	2.22665	+	0.234030i	1.28556	+	0.135117i	0.563016	+	0.826446i	$0.309641\pi$
$4$	1.61716	+	0.720004i	0.808578	+	0.360002i
$5$	0.999739	−	0.900169i	0.447097	−	0.402568i	−0.414590	−	0.910008i	$-0.636075\pi$
$5$	0.999739	−	0.900169i	0.447097	−	0.402568i	0.861687	+	0.507441i	$0.169408\pi$
$6$	−0.331663	+	1.02075i	−0.135401	+	0.416721i
$7$	0.103533	+	2.64372i	0.0391320	+	0.999234i
$7$	0.103533	+	2.64372i	0.0391320	+	0.999234i
$8$	−1.06233	+	1.46217i	−0.375591	+	0.516957i
$9$	1.96875	+	0.418472i	0.656251	+	0.139491i
$10$	0.322449	+	0.558497i	0.101967	+	0.176612i
$11$		0			0
$11$		0			0
$12$	3.43234	+	1.98166i	0.990830	+	0.572056i
$13$	−1.46606	−	4.51207i	−0.406612	−	1.25142i	−0.919541	−	0.392993i	$-0.871440\pi$
$13$	−1.46606	−	4.51207i	−0.406612	−	1.25142i	0.512929	−	0.858431i	$-0.328560\pi$
$14$	−1.24997	−	0.214948i	−0.334068	−	0.0574473i
$15$	2.43673	−	1.77039i	0.629162	−	0.457113i
$16$	1.78925	+	1.98716i	0.447313	+	0.496791i
$17$	1.68173	−	0.357463i	0.407880	−	0.0866976i	0.000597553	−	1.00000i	$-0.499810\pi$
$17$	1.68173	−	0.357463i	0.407880	−	0.0866976i	0.407282	+	0.913302i	$0.366476\pi$
$18$	−0.392444	+	0.881444i	−0.0925000	+	0.207758i
$19$	2.06213	−	0.918120i	0.473085	−	0.210631i	−0.156323	−	0.987706i	$-0.549964\pi$
$19$	2.06213	−	0.918120i	0.473085	−	0.210631i	0.629408	+	0.777075i	$0.283297\pi$
$20$	2.26486	−	0.735897i	0.506438	−	0.164552i
$21$	−0.388179	+	5.91088i	−0.0847076	+	1.28986i
$22$		0			0
$23$	−0.646028	+	1.11895i	−0.134706	+	0.233318i	−0.925485	−	0.378784i	$-0.876342\pi$
$23$	−0.646028	+	1.11895i	−0.134706	+	0.233318i	0.790779	+	0.612102i	$0.209676\pi$
$24$	−2.70763	+	3.00713i	−0.552693	+	0.613828i
$25$	−0.333469	+	3.17274i	−0.0666937	+	0.634548i
$26$	2.26184	−	0.237729i	0.443583	−	0.0466225i
$27$	−2.10221	−	0.683050i	−0.404571	−	0.131453i
$28$	−1.73606	+	4.34986i	−0.328085	+	0.822046i
$29$	4.20132	+	5.78262i	0.780166	+	1.07381i	0.995264	+	0.0972139i	$0.0309931\pi$
$29$	4.20132	+	5.78262i	0.780166	+	1.07381i	−0.215097	+	0.976593i	$0.569007\pi$
$30$	0.587275	+	1.31904i	0.107221	+	0.240823i
$31$	−7.00306	−	6.30558i	−1.25779	−	1.13252i	−0.985387	−	0.170332i	$-0.945516\pi$
$31$	−7.00306	−	6.30558i	−1.25779	−	1.13252i	−0.272400	−	0.962184i	$-0.587817\pi$
$32$	−4.24053	+	2.44827i	−0.749627	+	0.432798i
$33$		0			0
$34$			0.824195i			0.141348i
$35$	2.48331	+	2.54984i	0.419755	+	0.431001i
$36$	2.88248	+	2.09424i	0.480413	+	0.349041i
$37$	−0.273631	−	2.60342i	−0.0449846	−	0.428000i	−0.993717	−	0.111920i	$-0.964300\pi$
$37$	−0.273631	−	2.60342i	−0.0449846	−	0.428000i	0.948733	−	0.316080i	$-0.102367\pi$
$38$	0.224979	+	1.05844i	0.0364964	+	0.171702i
$39$	−2.20844	−	10.3899i	−0.353634	−	1.66372i
$40$	0.254149	+	2.41807i	0.0401846	+	0.382331i
$41$	−1.75211	−	1.27298i	−0.273634	−	0.198807i	0.442502	−	0.896767i	$-0.354091\pi$
$41$	−1.75211	−	1.27298i	−0.273634	−	0.198807i	−0.716136	+	0.697961i	$0.754091\pi$
$42$	−2.73293	−	0.771144i	−0.421701	−	0.118990i
$43$		−	5.22507i		−	0.796816i	−0.917208	−	0.398408i	$-0.869563\pi$
$43$		−	5.22507i		−	0.796816i	0.917208	−	0.398408i	$-0.130437\pi$
$44$		0			0
$45$	2.34493	−	1.35385i	0.349562	−	0.201820i
$46$	−0.460290	−	0.414447i	−0.0678661	−	0.0611069i
$47$	2.58305	+	5.80163i	0.376777	+	0.846255i	0.998036	+	0.0626495i	$0.0199550\pi$
$47$	2.58305	+	5.80163i	0.376777	+	0.846255i	−0.621259	+	0.783606i	$0.713378\pi$
$48$	3.51898	+	4.84346i	0.507921	+	0.699093i
$49$	−6.97856	+	0.547428i	−0.996937	+	0.0782040i
$50$	−1.45447	−	0.472585i	−0.205693	−	0.0668337i
$51$	3.82829	−	0.402369i	0.536067	−	0.0563429i
$52$	0.877862	−	8.35230i	0.121738	−	1.15826i
$53$	7.29906	−	8.10643i	1.00260	−	1.11350i	0.00906982	−	0.999959i	$-0.497113\pi$
$53$	7.29906	−	8.10643i	1.00260	−	1.11350i	0.993533	−	0.113544i	$-0.0362204\pi$
$54$	0.529807	−	0.917653i	0.0720976	−	0.124877i
$55$		0			0
$56$	−3.97557	−	2.65713i	−0.531258	−	0.355074i
$57$	4.80651	−	1.56173i	0.636638	−	0.206856i
$58$	−3.13022	+	1.39366i	−0.411018	+	0.182997i
$59$	2.38785	−	5.36320i	0.310872	−	0.698230i	−0.688770	−	0.724980i	$-0.741849\pi$
$59$	2.38785	−	5.36320i	0.310872	−	0.698230i	0.999642	+	0.0267501i	$0.00851583\pi$
$60$	5.21527	−	1.10854i	0.673288	−	0.143112i
$61$	−3.97747	−	4.41743i	−0.509263	−	0.565594i	0.432602	−	0.901585i	$-0.357595\pi$
$61$	−3.97747	−	4.41743i	−0.509263	−	0.565594i	−0.941865	+	0.335991i	$0.890929\pi$
$62$	3.65468	−	2.65528i	0.464145	−	0.337221i
$63$	−0.902492	+	5.24817i	−0.113703	+	0.661207i
$64$	0.927266	+	2.85383i	0.115908	+	0.356729i
$65$	−5.52731	−	3.19119i	−0.685578	−	0.395819i
$66$		0			0
$67$	−0.828067	−	1.43425i	−0.101164	−	0.175222i	0.811000	−	0.585046i	$-0.198923\pi$
$67$	−0.828067	−	1.43425i	−0.101164	−	0.175222i	−0.912165	+	0.409824i	$0.865590\pi$
$68$	2.97700	+	0.632781i	0.361014	+	0.0767359i
$69$	−1.70035	+	2.34032i	−0.204698	+	0.281742i
$70$	−1.44313	+	0.910289i	−0.172487	+	0.108800i
$71$	−4.83639	+	14.8849i	−0.573974	+	1.76651i	0.0656724	+	0.997841i	$0.479081\pi$
$71$	−4.83639	+	14.8849i	−0.573974	+	1.76651i	−0.639646	+	0.768669i	$0.720919\pi$
$72$	−2.70335	+	2.43411i	−0.318593	+	0.286862i
$73$	−7.90013	−	3.51737i	−0.924641	−	0.411677i	−0.111514	−	0.993763i	$-0.535570\pi$
$73$	−7.90013	−	3.51737i	−0.924641	−	0.411677i	−0.813127	+	0.582086i	$0.802237\pi$
$74$	1.24802	+	0.131172i	0.145079	+	0.0152485i
$75$	−1.48504	+	6.98654i	−0.171477	+	0.806736i
$76$	3.99584			0.458354
$77$		0			0
$78$	5.09196			0.576551
$79$	0.927266	−	4.36244i	0.104326	−	0.490813i	−0.894700	−	0.446668i	$-0.852610\pi$
$79$	0.927266	−	4.36244i	0.104326	−	0.490813i	0.999025	−	0.0441447i	$-0.0140563\pi$
$80$	3.57757	+	0.376017i	0.399984	+	0.0420400i
$81$	−10.0372	−	4.46886i	−1.11525	−	0.496540i
$82$	0.771534	−	0.694692i	0.0852017	−	0.0767159i
$83$	2.49460	−	7.67760i	0.273818	−	0.842726i	−0.715711	−	0.698396i	$-0.753897\pi$
$83$	2.49460	−	7.67760i	0.273818	−	0.842726i	0.989530	−	0.144330i	$-0.0461027\pi$
$84$	−4.88360	+	9.27932i	−0.532845	+	1.01246i
$85$	1.35952	−	1.87121i	0.147460	−	0.202962i
$86$	2.45005	+	0.520773i	0.264195	+	0.0561564i
$87$	8.00156	+	13.8591i	0.857858	+	1.48585i
$88$		0			0
$89$	−2.96156	−	1.70986i	−0.313925	−	0.181245i	0.334756	−	0.942305i	$-0.391346\pi$
$89$	−2.96156	−	1.70986i	−0.313925	−	0.181245i	−0.648682	+	0.761060i	$0.724679\pi$
$90$	0.401107	+	1.23448i	0.0422804	+	0.130126i
$91$	11.7769	−	4.34301i	1.23455	−	0.455272i
$92$	−1.85038	+	1.34438i	−0.192915	+	0.140161i
$93$	−14.1177	−	15.6792i	−1.46393	−	1.62586i
$94$	−2.97784	+	0.632960i	−0.307141	+	0.0652849i
$95$	1.23513	−	2.77415i	0.126722	−	0.284621i
$96$	−10.0152	+	4.45903i	−1.02217	+	0.455098i
$97$	−6.32443	+	2.05493i	−0.642148	+	0.208647i	−0.611949	−	0.790897i	$-0.709614\pi$
$97$	−6.32443	+	2.05493i	−0.642148	+	0.208647i	−0.0301994	+	0.999544i	$0.509614\pi$
$98$	0.438850	−	3.32682i	0.0443306	−	0.336060i
$99$		0			0
$100$	−2.82366	+	4.89072i	−0.282366	+	0.489072i
$101$	−8.41443	+	9.34517i	−0.837267	+	0.929880i	−0.998371	−	0.0570579i	$-0.981828\pi$
$101$	−8.41443	+	9.34517i	−0.837267	+	0.929880i	0.161104	+	0.986938i	$0.448495\pi$
$102$	−0.192887	+	1.83519i	−0.0190986	+	0.181711i
$103$	7.24684	−	0.761674i	0.714053	−	0.0750499i	0.259466	−	0.965752i	$-0.416454\pi$
$103$	7.24684	−	0.761674i	0.714053	−	0.0750499i	0.454587	+	0.890702i	$0.349787\pi$
$104$	8.15488	+	2.64968i	0.799652	+	0.259823i
$105$	4.93271	+	6.25876i	0.481383	+	0.610792i
$106$	3.07363	+	4.23049i	0.298538	+	0.410902i
$107$	4.47112	+	10.0423i	0.432239	+	0.970826i	0.990032	+	0.140845i	$0.0449819\pi$
$107$	4.47112	+	10.0423i	0.432239	+	0.970826i	−0.557792	+	0.829981i	$0.688351\pi$
$108$	−2.90781	−	2.61820i	−0.279804	−	0.251936i
$109$	−1.08789	+	0.628095i	−0.104201	+	0.0601606i	−0.551195	−	0.834377i	$-0.685828\pi$
$109$	−1.08789	+	0.628095i	−0.104201	+	0.0601606i	0.446994	+	0.894537i	$0.352495\pi$
$110$		0			0
$111$		−	5.86094i		−	0.556296i
$112$	−5.06827	+	4.93603i	−0.478906	+	0.466411i
$113$	−4.68042	−	3.40052i	−0.440297	−	0.319894i	0.345456	−	0.938435i	$-0.387724\pi$
$113$	−4.68042	−	3.40052i	−0.440297	−	0.319894i	−0.785753	+	0.618541i	$0.787724\pi$
$114$	0.253242	+	2.40944i	0.0237183	+	0.225664i
$115$	0.361387	+	1.70019i	0.0336996	+	0.158544i
$116$	2.63068	+	12.3764i	0.244252	+	1.14912i
$117$	−0.998140	−	9.49667i	−0.0922781	−	0.877967i
$118$	2.27682	+	1.65421i	0.209598	+	0.152282i
$119$	1.11915	+	4.40903i	0.102592	+	0.404175i
$120$			5.44367i			0.496937i
$121$		0			0
$122$	2.46777	−	1.42477i	0.223421	−	0.128992i
$123$	−3.60342	−	3.24453i	−0.324910	−	0.292550i
$124$	−6.78499	−	15.2393i	−0.609310	−	1.36853i
$125$	6.47630	+	8.91387i	0.579258	+	0.797281i
$126$	−2.37093	−	0.946255i	−0.211219	−	0.0842991i
$127$	16.1583	+	5.25016i	1.43382	+	0.465877i	0.919965	−	0.392000i	$-0.128217\pi$
$127$	16.1583	+	5.25016i	1.43382	+	0.465877i	0.513856	+	0.857877i	$0.328217\pi$
$128$	−11.1700	+	1.17402i	−0.987300	+	0.103769i
$129$	1.22283	−	11.6344i	0.107664	−	1.02435i
$130$	2.04725	−	2.27370i	0.179556	−	0.199417i
$131$	8.03158	−	13.9111i	0.701723	−	1.21542i	−0.266139	−	0.963935i	$-0.585748\pi$
$131$	8.03158	−	13.9111i	0.701723	−	1.21542i	0.967861	−	0.251485i	$-0.0809188\pi$
$132$		0			0
$133$	2.64076	+	5.35665i	0.228983	+	0.464480i
$134$	0.755056	−	0.245333i	0.0652269	−	0.0211935i
$135$	−2.71652	+	1.20947i	−0.233801	+	0.104095i
$136$	−1.26388	+	2.83873i	−0.108377	+	0.243419i
$137$	15.6248	−	3.32116i	1.33492	−	0.283746i	0.515474	−	0.856905i	$-0.327616\pi$
$137$	15.6248	−	3.32116i	1.33492	−	0.283746i	0.819444	+	0.573159i	$0.194282\pi$
$138$	−0.927912	−	1.03055i	−0.0789891	−	0.0877263i
$139$	7.19083	−	5.22445i	0.609918	−	0.443132i	−0.239467	−	0.970904i	$-0.576973\pi$
$139$	7.19083	−	5.22445i	0.609918	−	0.443132i	0.849386	+	0.527773i	$0.176973\pi$
$140$	2.18000	+	5.91147i	0.184243	+	0.499611i
$141$	4.39380	+	13.5227i	0.370024	+	1.13882i
$142$	−6.49751	−	3.75134i	−0.545259	−	0.314806i
$143$		0			0
$144$	2.69102	+	4.66099i	0.224252	+	0.388416i
$145$	9.40556	+	1.99921i	0.781090	+	0.166026i
$146$	2.43669	−	3.35382i	0.201662	−	0.277564i
$147$	−15.6669	−	0.414264i	−1.29219	−	0.0341679i
$148$	1.43197	−	4.40715i	0.117707	−	0.362266i
$149$	−7.78987	+	7.01403i	−0.638171	+	0.574612i	−0.923396	−	0.383849i	$-0.874598\pi$
$149$	−7.78987	+	7.01403i	−0.638171	+	0.574612i	0.285225	+	0.958461i	$0.407932\pi$
$150$	−3.12799	−	1.39267i	−0.255399	−	0.113711i
$151$	−6.04811	−	0.635682i	−0.492188	−	0.0517311i	−0.144817	−	0.989459i	$-0.546259\pi$
$151$	−6.04811	−	0.635682i	−0.492188	−	0.0517311i	−0.347372	+	0.937727i	$0.612926\pi$
$152$	−0.848216	+	3.99054i	−0.0687994	+	0.323676i
$153$	3.46051			0.279765
$154$		0			0
$155$	−12.6773			−1.01827
$156$	3.90938	−	18.3922i	0.313001	−	1.47255i
$157$	−18.1678	−	1.90952i	−1.44995	−	0.152396i	−0.653421	−	0.756994i	$-0.726667\pi$
$157$	−18.1678	−	1.90952i	−1.44995	−	0.152396i	−0.796531	+	0.604598i	$0.793334\pi$
$158$	1.95314	+	0.869593i	0.155383	+	0.0691811i
$159$	18.1496	−	16.3420i	1.43936	−	1.29600i
$160$	−2.03557	+	6.26483i	−0.160926	+	0.495278i
$161$	−3.02509	−	1.59207i	−0.238410	−	0.125473i
$162$	3.09585	−	4.26107i	0.243233	−	0.334781i
$163$	7.31944	+	1.55579i	0.573302	+	0.121859i	0.485435	−	0.874273i	$-0.338661\pi$
$163$	7.31944	+	1.55579i	0.573302	+	0.121859i	0.0878678	+	0.996132i	$0.471995\pi$
$164$	−1.91688	−	3.32014i	−0.149683	−	0.259259i
$165$		0			0
$166$	3.35141	+	1.93494i	0.260120	+	0.150180i
$167$	1.89726	+	5.83917i	0.146815	+	0.451849i	0.997240	−	0.0742470i	$-0.0236553\pi$
$167$	1.89726	+	5.83917i	0.146815	+	0.451849i	−0.850425	+	0.526096i	$0.823655\pi$
$168$	−8.23036	−	6.84690i	−0.634986	−	0.528250i
$169$	−7.69225	+	5.58875i	−0.591712	+	0.429904i
$170$	0.741915	+	0.823980i	0.0569023	+	0.0631964i
$171$	4.44403	−	0.944609i	0.339844	−	0.0722360i
$172$	3.76207	−	8.44976i	0.286855	−	0.644288i
$173$	4.51467	−	2.01006i	0.343244	−	0.152822i	−0.227873	−	0.973691i	$-0.573177\pi$
$173$	4.51467	−	2.01006i	0.343244	−	0.152822i	0.571117	+	0.820869i	$0.306510\pi$
$174$	−7.29606	+	2.37063i	−0.553113	+	0.179717i
$175$	−8.42238	−	0.553114i	−0.636672	−	0.0418115i
$176$		0			0
$177$	6.57206	−	11.3831i	0.493986	−	0.855609i
$178$	1.09693	−	1.21826i	0.0822184	−	0.0913128i
$179$	0.741909	−	7.05880i	0.0554529	−	0.527599i	−0.931171	−	0.364584i	$-0.881211\pi$
$179$	0.741909	−	7.05880i	0.0554529	−	0.527599i	0.986624	−	0.163015i	$-0.0521220\pi$
$180$	4.76690	−	0.501022i	0.355304	−	0.0373439i
$181$	−0.290876	−	0.0945115i	−0.0216207	−	0.00702498i	0.298187	−	0.954508i	$-0.403618\pi$
$181$	−0.290876	−	0.0945115i	−0.0216207	−	0.00702498i	−0.319807	+	0.947483i	$0.603618\pi$
$182$	0.862666	+	5.95507i	0.0639450	+	0.441419i
$183$	−7.82262	−	10.7669i	−0.578264	−	0.795913i
$184$	−0.949808	−	2.13330i	−0.0700208	−	0.157269i
$185$	−2.61708	−	2.35643i	−0.192411	−	0.173248i
$186$	8.75911	−	5.05707i	0.642249	−	0.370803i
$187$		0			0
$188$			11.2420i			0.819904i
$189$	1.58815	−	5.62839i	0.115521	−	0.409405i
$190$	1.17770	+	0.855648i	0.0854392	+	0.0620752i
$191$	−2.12397	−	20.2082i	−0.153685	−	1.46222i	−0.751050	−	0.660246i	$-0.770452\pi$
$191$	−2.12397	−	20.2082i	−0.153685	−	1.46222i	0.597365	−	0.801970i	$-0.296214\pi$
$192$	1.39681	+	6.57149i	0.100806	+	0.474256i
$193$	−2.74390	−	12.9090i	−0.197510	−	0.929214i	−0.959518	−	0.281646i	$-0.909120\pi$
$193$	−2.74390	−	12.9090i	−0.197510	−	0.929214i	0.762008	−	0.647568i	$-0.224214\pi$
$194$	−0.333217	−	3.17035i	−0.0239236	−	0.227618i
$195$	−11.5605	−	8.39922i	−0.827867	−	0.601481i
$196$	−11.6796	−	4.13932i	−0.834255	−	0.295665i
$197$		−	5.08391i		−	0.362214i	−0.983463	−	0.181107i	$-0.942032\pi$
$197$		−	5.08391i		−	0.362214i	0.983463	−	0.181107i	$-0.0579680\pi$
$198$		0			0
$199$	−4.75397	+	2.74471i	−0.337000	+	0.194567i	−0.658945	−	0.752191i	$-0.728997\pi$
$199$	−4.75397	+	2.74471i	−0.337000	+	0.194567i	0.321945	+	0.946758i	$0.395664\pi$
$200$	−4.28485	−	3.85809i	−0.302985	−	0.272808i
$201$	−1.50816	−	3.38737i	−0.106377	−	0.238927i
$202$	−3.54332	−	4.87696i	−0.249307	−	0.343142i
$203$	−14.8527	+	11.7058i	−1.04245	+	0.821589i
$204$	6.48064	+	2.10569i	0.453736	+	0.147428i
$205$	−2.89755	+	0.304545i	−0.202374	+	0.0212704i
$206$	−0.365129	+	3.47397i	−0.0254398	+	0.242043i
$207$	−1.74012	+	1.93260i	−0.120947	+	0.134325i
$208$	6.34308	−	10.9865i	0.439814	−	0.761779i
$209$		0			0
$210$	−3.42638	+	1.68916i	−0.236443	+	0.116563i
$211$	−7.61221	+	2.47336i	−0.524046	+	0.170273i	−0.559081	−	0.829113i	$-0.688846\pi$
$211$	−7.61221	+	2.47336i	−0.524046	+	0.170273i	0.0350346	+	0.999386i	$0.488846\pi$
$212$	17.6404	−	7.85400i	1.21155	−	0.539415i
$213$	−14.2525	+	32.0115i	−0.976562	+	2.19340i
$214$	−5.15448	+	1.09562i	−0.352353	+	0.0748949i
$215$	−4.70345	−	5.22371i	−0.320772	−	0.356254i
$216$	3.23199	−	2.34818i	0.219909	−	0.159773i
$217$	15.9452	−	19.1670i	1.08243	−	1.30114i
$218$	−0.186087	−	0.572715i	−0.0126034	−	0.0387892i
$219$	−16.7677	−	9.68081i	−1.13305	−	0.654169i
$220$		0			0
$221$	−4.07842	−	7.06404i	−0.274344	−	0.475179i
$222$	2.74821	+	0.584149i	0.184448	+	0.0392055i
$223$	−7.61943	+	10.4872i	−0.510235	+	0.702278i	−0.983959	−	0.178396i	$-0.942909\pi$
$223$	−7.61943	+	10.4872i	−0.510235	+	0.702278i	0.473724	+	0.880673i	$0.342909\pi$
$224$	−6.91160	−	10.9573i	−0.461801	−	0.732117i
$225$	−1.98422	+	6.10680i	−0.132281	+	0.407120i
$226$	2.06100	−	1.85573i	0.137096	−	0.123441i
$227$	17.6352	+	7.85171i	1.17049	+	0.521136i	0.897558	−	0.440897i	$-0.145340\pi$
$227$	17.6352	+	7.85171i	1.17049	+	0.521136i	0.272933	+	0.962033i	$0.412006\pi$
$228$	8.89733	+	0.935147i	0.589240	+	0.0619316i
$229$	1.31876	−	6.20427i	0.0871460	−	0.409990i	−0.912853	−	0.408289i	$-0.866125\pi$
$229$	1.31876	−	6.20427i	0.0871460	−	0.409990i	0.999999	−	0.00170041i	$-0.000541258\pi$
$230$	−0.833243			−0.0549424
$231$		0			0
$232$	−12.9184			−0.848135
$233$	−3.58676	+	16.8744i	−0.234977	+	1.10548i	0.689514	+	0.724272i	$0.257824\pi$
$233$	−3.58676	+	16.8744i	−0.234977	+	1.10548i	−0.924490	+	0.381205i	$0.875509\pi$
$234$	4.55249	+	0.478486i	0.297605	+	0.0312796i
$235$	7.80483	+	3.47493i	0.509131	+	0.226680i
$236$	7.72306	−	6.95387i	0.502728	−	0.452658i
$237$	3.08564	−	9.49662i	0.200434	−	0.616872i
$238$	−2.17894	+	0.0853318i	−0.141240	+	0.00553124i
$239$	−16.6588	+	22.9289i	−1.07757	+	1.48315i	−0.215401	+	0.976526i	$0.569106\pi$
$239$	−16.6588	+	22.9289i	−1.07757	+	1.48315i	−0.862169	+	0.506621i	$0.830894\pi$
$240$	7.87799	+	1.67452i	0.508522	+	0.108090i
$241$	3.43595	+	5.95124i	0.221329	+	0.383353i	0.955212	−	0.295923i	$-0.0956271\pi$
$241$	3.43595	+	5.95124i	0.221329	+	0.383353i	−0.733883	+	0.679276i	$0.762294\pi$
$242$		0			0
$243$	−15.5607	−	8.98399i	−0.998221	−	0.576323i
$244$	−3.25162	−	10.0075i	−0.208164	−	0.640662i
$245$	−6.48396	+	6.82917i	−0.414245	+	0.436300i
$246$	1.88051	−	1.36627i	0.119897	−	0.0871104i
$247$	−7.16583	−	7.95846i	−0.455951	−	0.506385i
$248$	16.6594	−	3.54107i	1.05788	−	0.224858i
$249$	7.35140	−	16.5115i	0.465876	−	1.04637i
$250$	−4.82521	+	2.14832i	−0.305173	+	0.135872i
$251$	9.19756	−	2.98847i	0.580545	−	0.188630i	−0.00399993	−	0.999992i	$-0.501273\pi$
$251$	9.19756	−	2.98847i	0.580545	−	0.188630i	0.584545	+	0.811362i	$0.301273\pi$
$252$	−5.23817	+	7.83731i	−0.329974	+	0.493704i
$253$		0			0
$254$	−4.07228	+	7.05340i	−0.255518	+	0.442570i
$255$	3.46509	−	3.84837i	0.216992	−	0.240994i
$256$	−0.0645187	+	0.613854i	−0.00403242	+	0.0383659i
$257$	−10.8177	+	1.13698i	−0.674788	+	0.0709230i	−0.435723	−	0.900081i	$-0.643507\pi$
$257$	−10.8177	+	1.13698i	−0.674788	+	0.0709230i	−0.239064	+	0.971004i	$0.576841\pi$
$258$	5.33352	+	1.73296i	0.332050	+	0.107890i
$259$	6.85440	−	0.992945i	0.425912	−	0.0616986i
$260$	−6.64084	−	9.14034i	−0.411848	−	0.566860i
$261$	5.85151	+	13.1427i	0.362199	+	0.813513i
$262$	5.72245	+	5.15252i	0.353534	+	0.318324i
$263$	−4.03337	+	2.32867i	−0.248708	+	0.143592i	−0.619173	−	0.785255i	$-0.712532\pi$
$263$	−4.03337	+	2.32867i	−0.248708	+	0.143592i	0.370464	+	0.928847i	$0.379199\pi$
$264$		0			0
$265$		−	14.6747i		−	0.901459i
$266$	−2.77494	+	0.704367i	−0.170143	+	0.0431875i
$267$	−6.19421	−	4.50035i	−0.379079	−	0.275417i
$268$	−0.306444	−	2.91562i	−0.0187191	−	0.178100i
$269$	3.63568	+	17.1045i	0.221671	+	1.04288i	0.938406	+	0.345535i	$0.112303\pi$
$269$	3.63568	+	17.1045i	0.221671	+	1.04288i	−0.716734	+	0.697346i	$0.754364\pi$
$270$	−0.296374	−	1.39433i	−0.0180367	−	0.0848562i
$271$	−3.27830	−	31.1910i	−0.199143	−	1.89472i	−0.402205	−	0.915550i	$-0.631756\pi$
$271$	−3.27830	−	31.1910i	−0.199143	−	1.89472i	0.203062	−	0.979166i	$-0.434911\pi$
$272$	3.71938	+	2.70229i	0.225521	+	0.163850i
$273$	27.2394	−	6.91422i	1.64860	−	0.418468i
$274$			7.65752i			0.462608i
$275$		0			0
$276$	−4.43477	+	2.56041i	−0.266942	+	0.154119i
$277$	10.6983	+	9.63279i	0.642799	+	0.578779i	0.924715	−	0.380660i	$-0.124303\pi$
$277$	10.6983	+	9.63279i	0.642799	+	0.578779i	−0.281916	+	0.959439i	$0.590970\pi$
$278$	1.73305	+	3.89250i	0.103942	+	0.233457i
$279$	−11.1486	−	15.3447i	−0.667449	−	0.918665i
$280$	−6.36640	+	0.922253i	−0.380465	+	0.0551151i
$281$	−23.6607	−	7.68781i	−1.41148	−	0.458617i	−0.498593	−	0.866836i	$-0.666150\pi$
$281$	−23.6607	−	7.68781i	−1.41148	−	0.458617i	−0.912884	+	0.408220i	$0.866150\pi$
$282$	−6.77875	+	0.712475i	−0.403668	+	0.0424273i
$283$	−0.635429	+	6.04570i	−0.0377723	+	0.359380i	0.959268	+	0.282498i	$0.0911631\pi$
$283$	−0.635429	+	6.04570i	−0.0377723	+	0.359380i	−0.997040	+	0.0768818i	$0.975504\pi$
$284$	−18.5384	+	20.5890i	−1.10005	+	1.22173i
$285$	3.39943	−	5.88799i	0.201365	−	0.348774i
$286$		0			0
$287$	3.18402	−	4.76390i	0.187947	−	0.281204i
$288$	−9.37310	+	3.04550i	−0.552315	+	0.179458i
$289$	−12.8298	+	5.71221i	−0.754696	+	0.336012i
$290$	−1.87487	+	4.21103i	−0.110096	+	0.247280i
$291$	−14.5632	+	3.09550i	−0.853710	+	0.181462i
$292$	−10.2432	−	11.3763i	−0.599440	−	0.665745i
$293$	−16.7167	+	12.1454i	−0.976600	+	0.709541i	−0.956946	−	0.290266i	$-0.906256\pi$
$293$	−16.7167	+	12.1454i	−0.976600	+	0.709541i	−0.0196536	+	0.999807i	$0.506256\pi$
$294$	1.75574	−	7.30496i	0.102397	−	0.426034i
$295$	−2.44056	−	7.51127i	−0.142095	−	0.437323i
$296$	4.09734	+	2.36560i	0.238153	+	0.137498i
$297$		0			0
$298$	−2.51249	−	4.35176i	−0.145545	−	0.252091i
$299$	5.99591	+	1.27447i	0.346753	+	0.0737045i
$300$	−7.43187	+	10.2291i	−0.429079	+	0.590577i
$301$	13.8137	−	0.540970i	0.796206	−	0.0311810i
$302$	0.900877	−	2.77261i	0.0518396	−	0.159546i
$303$	−20.9230	+	18.8392i	−1.20200	+	1.08228i
$304$	5.51412	+	2.45505i	0.316257	+	0.140807i
$305$	−7.95286	−	0.835879i	−0.455379	−	0.0478623i
$306$	−0.344902	+	1.62264i	−0.0197167	+	0.0927600i
$307$	29.1596			1.66423			0.832114	−	0.554605i	$-0.187131\pi$
$307$	29.1596			1.66423			0.832114	+	0.554605i	$0.187131\pi$
$308$		0			0
$309$	16.3144			0.928096
$310$	1.26352	−	5.94442i	0.0717634	−	0.337620i
$311$	23.0433	+	2.42194i	1.30666	+	0.137336i	0.732141	−	0.681153i	$-0.238521\pi$
$311$	23.0433	+	2.42194i	1.30666	+	0.137336i	0.574522	+	0.818489i	$0.305188\pi$
$312$	17.5380	+	7.80840i	0.992891	+	0.442064i
$313$	9.21291	−	8.29534i	0.520745	−	0.468881i	−0.366344	−	0.930479i	$-0.619391\pi$
$313$	9.21291	−	8.29534i	0.520745	−	0.468881i	0.887089	+	0.461599i	$0.152724\pi$
$314$	2.70613	−	8.32862i	0.152716	−	0.470011i
$315$	3.82198	+	6.05919i	0.215344	+	0.341397i
$316$	4.64051	−	6.38711i	0.261049	−	0.359303i
$317$	0.463498	+	0.0985195i	0.0260326	+	0.00553341i	0.220910	−	0.975294i	$-0.429097\pi$
$317$	0.463498	+	0.0985195i	0.0260326	+	0.00553341i	−0.194877	+	0.980828i	$0.562431\pi$
$318$	5.85384	+	10.1391i	0.328267	+	0.568575i
$319$		0			0
$320$	3.49595	+	2.01839i	0.195430	+	0.112831i
$321$	7.60541	+	23.4071i	0.424493	+	1.30645i
$322$	1.04803	−	1.25979i	0.0584044	−	0.0702054i
$323$	3.13976	−	2.28117i	0.174701	−	0.126928i
$324$	−13.0141	−	14.4537i	−0.723008	−	0.802982i
$325$	14.8045	−	3.14680i	0.821208	−	0.174553i
$326$	−1.45903	+	3.27703i	−0.0808081	+	0.181498i
$327$	−2.56935	+	1.14395i	−0.142085	+	0.0632604i
$328$	3.72265	−	1.20956i	0.205549	−	0.0667869i
$329$	−15.0705	+	7.42955i	−0.830863	+	0.409604i
$330$		0			0
$331$	9.30467	−	16.1162i	0.511431	−	0.885824i	−0.488481	−	0.872574i	$-0.662449\pi$
$331$	9.30467	−	16.1162i	0.511431	−	0.885824i	0.999912	−	0.0132499i	$-0.00421769\pi$
$332$	9.56207	−	10.6198i	0.524787	−	0.582835i
$333$	0.550746	−	5.24000i	0.0301807	−	0.287150i
$334$	−2.92709	+	0.307650i	−0.160164	+	0.0168339i
$335$	−2.11892	−	0.688479i	−0.115769	−	0.0376156i
$336$	−12.4404	+	9.80467i	−0.678681	+	0.534889i
$337$	12.1397	+	16.7089i	0.661292	+	0.910191i	0.999523	−	0.0308725i	$-0.00982857\pi$
$337$	12.1397	+	16.7089i	0.661292	+	0.910191i	−0.338231	+	0.941063i	$0.609829\pi$
$338$	−1.85390	−	4.16393i	−0.100839	−	0.226488i
$339$	−9.62582	−	8.66713i	−0.522803	−	0.470734i
$340$	3.54583	−	2.04719i	0.192300	−	0.111024i
$341$		0			0
$342$			2.17796i			0.117771i
$343$	−2.16976	−	18.3927i	−0.117156	−	0.993113i
$344$	7.63997	+	5.55076i	0.411919	+	0.299277i
$345$	0.406786	+	3.87031i	0.0219006	+	0.208371i
$346$	0.492552	+	2.31728i	0.0264798	+	0.124577i
$347$	1.08647	+	5.11142i	0.0583245	+	0.274395i	0.997640	−	0.0686587i	$-0.0218719\pi$
$347$	1.08647	+	5.11142i	0.0583245	+	0.274395i	−0.939316	+	0.343054i	$0.888539\pi$
$348$	2.96115	+	28.1735i	0.158735	+	1.51026i
$349$	−12.8672	−	9.34856i	−0.688765	−	0.500417i	0.187489	−	0.982267i	$-0.439965\pi$
$349$	−12.8672	−	9.34856i	−0.688765	−	0.500417i	−0.876254	+	0.481850i	$0.839965\pi$
$350$	1.09880	−	3.89414i	0.0587333	−	0.208151i
$351$			10.4867i			0.559740i
$352$		0			0
$353$	1.53593	−	0.886769i	0.0817493	−	0.0471980i	−0.458568	−	0.888659i	$-0.651638\pi$
$353$	1.53593	−	0.886769i	0.0817493	−	0.0471980i	0.540317	+	0.841461i	$0.318304\pi$
$354$	4.68255	+	4.21619i	0.248875	+	0.224088i
$355$	8.56378	+	19.2346i	0.454518	+	1.02086i
$356$	−3.55821	−	4.89745i	−0.188584	−	0.259564i
$357$	1.46011	+	10.0793i	0.0772771	+	0.533452i
$358$	3.23594	+	1.05142i	0.171025	+	0.0555693i
$359$	−16.0623	+	1.68822i	−0.847736	+	0.0891007i	−0.518427	−	0.855122i	$-0.673482\pi$
$359$	−16.0623	+	1.68822i	−0.847736	+	0.0891007i	−0.329309	+	0.944222i	$0.606816\pi$
$360$	−0.511536	+	4.86694i	−0.0269603	+	0.256510i
$361$	−9.30404	+	10.3332i	−0.489687	+	0.543852i
$362$	0.0733077	−	0.126973i	0.00385297	−	0.00667354i
$363$		0			0
$364$	22.1721	+	1.45608i	1.16213	+	0.0763195i
$365$	−11.0643	+	3.59501i	−0.579132	+	0.188171i
$366$	5.82829	−	2.59492i	0.304649	−	0.135639i
$367$	1.03797	−	2.33131i	0.0541814	−	0.121693i	−0.884426	−	0.466680i	$-0.845450\pi$
$367$	1.03797	−	2.33131i	0.0541814	−	0.121693i	0.938608	+	0.344987i	$0.112117\pi$
$368$	−3.37945	+	0.718324i	−0.176166	+	0.0374452i
$369$	−2.91677	−	3.23940i	−0.151841	−	0.168636i
$370$	1.36577	−	0.992291i	0.0710031	−	0.0515868i
$371$	22.1869	+	18.4574i	1.15188	+	0.958261i
$372$	−11.5413	−	35.5206i	−0.598390	−	1.84166i
$373$	−3.69579	−	2.13376i	−0.191361	−	0.110482i	0.401259	−	0.915965i	$-0.368573\pi$
$373$	−3.69579	−	2.13376i	−0.191361	−	0.110482i	−0.592619	+	0.805483i	$0.701906\pi$
$374$		0			0
$375$	12.3343	+	21.3637i	0.636943	+	1.10322i
$376$	−11.2271	−	2.38639i	−0.578991	−	0.123068i
$377$	19.9322	−	27.4344i	1.02656	−	1.41294i
$378$	2.48087	+	1.30566i	0.127602	+	0.0671557i
$379$	4.87939	−	15.0172i	0.250637	−	0.771382i	−0.744021	−	0.668157i	$-0.767084\pi$
$379$	4.87939	−	15.0172i	0.250637	−	0.771382i	0.994658	−	0.103226i	$-0.0329164\pi$
$380$	3.99479	−	3.59693i	0.204929	−	0.184518i
$381$	34.7503	+	15.4718i	1.78031	+	0.792645i
$382$	9.68736	+	1.01818i	0.495648	+	0.0520948i
$383$	−2.40323	+	11.3063i	−0.122799	+	0.577726i	0.873122	+	0.487501i	$0.162092\pi$
$383$	−2.40323	+	11.3063i	−0.122799	+	0.577726i	−0.995921	+	0.0902240i	$0.971242\pi$
$384$	−25.1465			−1.28325
$385$		0			0
$386$	6.32656			0.322013
$387$	2.18654	−	10.2869i	0.111148	−	0.522912i
$388$	−11.7071	−	1.23047i	−0.594340	−	0.0624677i
$389$	7.13284	+	3.17574i	0.361649	+	0.161017i	0.579514	−	0.814962i	$-0.303242\pi$
$389$	7.13284	+	3.17574i	0.361649	+	0.161017i	−0.217865	+	0.975979i	$0.569909\pi$
$390$	5.09063	−	4.58362i	0.257774	−	0.232101i
$391$	−0.686461	+	2.11271i	−0.0347158	+	0.106844i
$392$	6.61311	−	10.7854i	0.334013	−	0.544746i
$393$	21.1391	−	29.0955i	1.06633	−	1.46768i
$394$	2.38385	+	0.506704i	0.120097	+	0.0255274i
$395$	−2.99991	−	5.19600i	−0.150942	−	0.261439i
$396$		0			0
$397$	11.7867	+	6.80506i	0.591558	+	0.341536i	0.765713	−	0.643182i	$-0.222386\pi$
$397$	11.7867	+	6.80506i	0.591558	+	0.341536i	−0.174155	+	0.984718i	$0.555719\pi$
$398$	−0.813178	−	2.50270i	−0.0407609	−	0.125449i
$399$	4.62642	+	12.5454i	0.231611	+	0.628055i
$400$	−6.90142	+	5.01417i	−0.345071	+	0.250709i
$401$	−1.97614	−	2.19472i	−0.0986836	−	0.109599i	0.691780	−	0.722108i	$-0.256827\pi$
$401$	−1.97614	−	2.19472i	−0.0986836	−	0.109599i	−0.790463	+	0.612509i	$0.790160\pi$
$402$	1.73866	−	0.369564i	0.0867165	−	0.0184322i
$403$	−18.1843	+	40.8427i	−0.905826	+	2.03452i
$404$	−20.3360	+	9.05418i	−1.01175	+	0.450462i
$405$	−14.0573	+	4.56750i	−0.698514	+	0.226961i
$406$	−4.00855	−	8.13115i	−0.198941	−	0.403542i
$407$		0			0
$408$	−3.47858	+	6.02507i	−0.172215	+	0.298285i
$409$	2.37441	−	2.63705i	0.117407	−	0.130394i	−0.681576	−	0.731747i	$-0.738705\pi$
$409$	2.37441	−	2.63705i	0.117407	−	0.130394i	0.798983	+	0.601354i	$0.205372\pi$
$410$	0.145992	−	1.38902i	0.00721003	−	0.0685989i
$411$	35.5682	−	3.73837i	1.75445	−	0.184400i
$412$	12.2677	+	3.98601i	0.604385	+	0.196377i
$413$	14.4261	+	5.75755i	0.709860	+	0.283311i
$414$	−0.732764	−	1.00856i	−0.0360134	−	0.0495682i
$415$	−4.41719	−	9.92116i	−0.216831	−	0.487011i
$416$	17.2637	+	15.5443i	0.846421	+	0.762121i
$417$	17.2341	−	9.95014i	0.843959	−	0.487260i
$418$		0			0
$419$			38.0166i			1.85723i	0.371042	+	0.928616i	$0.379001\pi$
$419$			38.0166i			1.85723i	−0.371042	+	0.928616i	$0.620999\pi$
$420$	3.47063	+	13.6730i	0.169349	+	0.667172i
$421$	4.10186	+	2.98018i	0.199913	+	0.145245i	0.683238	−	0.730196i	$-0.260571\pi$
$421$	4.10186	+	2.98018i	0.199913	+	0.145245i	−0.483325	+	0.875441i	$0.660571\pi$
$422$	−0.401067	−	3.81589i	−0.0195236	−	0.185755i
$423$	2.65758	+	12.5029i	0.129216	+	0.607913i
$424$	4.09899	+	19.2842i	0.199064	+	0.936524i
$425$	0.573334	+	5.45491i	0.0278108	+	0.264602i
$426$	−13.5898	−	9.87354i	−0.658426	−	0.478374i
$427$	11.2667	−	10.9727i	0.545232	−	0.531005i
$428$			19.4592i			0.940595i
$429$		0			0
$430$	2.91819	−	1.68482i	0.140728	−	0.0812491i
$431$	−7.50366	−	6.75633i	−0.361439	−	0.325441i	0.468324	−	0.883557i	$-0.344858\pi$
$431$	−7.50366	−	6.75633i	−0.361439	−	0.325441i	−0.829763	+	0.558116i	$0.811525\pi$
$432$	−2.40405	−	5.39959i	−0.115665	−	0.259788i
$433$	16.2335	+	22.3435i	0.780133	+	1.07376i	0.995267	+	0.0971764i	$0.0309811\pi$
$433$	16.2335	+	22.3435i	0.780133	+	1.07376i	−0.215134	+	0.976584i	$0.569019\pi$
$434$	7.39821	+	9.38706i	0.355126	+	0.450593i
$435$	20.4750	+	6.65274i	0.981702	+	0.318974i
$436$	−2.21152	+	0.232440i	−0.105913	+	0.0111319i
$437$	−0.304861	+	2.90056i	−0.0145835	+	0.138752i
$438$	6.21055	−	6.89752i	0.296752	−	0.329576i
$439$	−14.9509	+	25.8957i	−0.713567	+	1.23593i	0.249943	+	0.968261i	$0.419588\pi$
$439$	−14.9509	+	25.8957i	−0.713567	+	1.23593i	−0.963510	+	0.267674i	$0.913745\pi$
$440$		0			0
$441$	−13.9682	−	1.84258i	−0.665150	−	0.0877418i
$442$	3.71883	−	1.20832i	0.176887	−	0.0574739i
$443$	0.818519	−	0.364428i	0.0388890	−	0.0173145i	−0.387200	−	0.921996i	$-0.626558\pi$
$443$	0.818519	−	0.364428i	0.0388890	−	0.0173145i	0.426089	+	0.904681i	$0.359891\pi$
$444$	4.21990	−	9.47806i	0.200268	−	0.449809i
$445$	−4.49995	+	0.956495i	−0.213318	+	0.0453422i
$446$	−4.15807	−	4.61801i	−0.196890	−	0.218669i
$447$	−18.9868	+	13.7947i	−0.898045	+	0.652468i
$448$	−7.44874	+	2.74690i	−0.351920	+	0.129779i
$449$	−3.78772	−	11.6574i	−0.178753	−	0.550146i	0.821032	−	0.570883i	$-0.193399\pi$
$449$	−3.78772	−	11.6574i	−0.178753	−	0.550146i	−0.999785	+	0.0207364i	$0.993399\pi$
$450$	−2.66573	−	1.53906i	−0.125664	−	0.0725519i
$451$		0			0
$452$	−5.12057	−	8.86909i	−0.240852	−	0.417167i
$453$	−13.3183	−	2.83088i	−0.625746	−	0.133006i
$454$	−5.43935	+	7.48662i	−0.255281	+	0.351365i
$455$	7.86437	−	14.9431i	0.368687	−	0.700542i
$456$	−2.82259	+	8.68703i	−0.132180	+	0.406807i
$457$	−23.7930	+	21.4233i	−1.11299	+	1.00214i	−0.113027	+	0.993592i	$0.536055\pi$
$457$	−23.7930	+	21.4233i	−1.11299	+	1.00214i	−0.999963	+	0.00854917i	$0.997279\pi$
$458$	2.77776	+	1.23674i	0.129796	+	0.0577889i
$459$	−3.77952	−	0.397244i	−0.176413	−	0.0185418i
$460$	−0.639727	+	3.00968i	−0.0298274	+	0.140327i
$461$	9.89306			0.460766			0.230383	−	0.973100i	$-0.426002\pi$
$461$	9.89306			0.460766			0.230383	+	0.973100i	$0.426002\pi$
$462$		0			0
$463$	3.79441			0.176341			0.0881706	−	0.996105i	$-0.471898\pi$
$463$	3.79441			0.176341			0.0881706	+	0.996105i	$0.471898\pi$
$464$	−3.97381	+	18.6953i	−0.184479	+	0.867907i
$465$	−28.2279	−	2.96688i	−1.30904	−	0.137586i
$466$	−7.55494	−	3.36368i	−0.349976	−	0.155819i
$467$	−7.24942	+	6.52741i	−0.335463	+	0.302052i	−0.819596	−	0.572942i	$-0.805802\pi$
$467$	−7.24942	+	6.52741i	−0.335463	+	0.302052i	0.484132	+	0.874995i	$0.339135\pi$
$468$	5.22349	−	16.0763i	0.241456	−	0.743125i
$469$	3.70604	−	2.33767i	0.171129	−	0.107944i
$470$	−2.40729	+	3.31336i	−0.111040	+	0.152834i
$471$	−40.0065	−	8.50365i	−1.84340	−	0.391828i
$472$	5.30525	+	9.18896i	0.244194	+	0.422956i
$473$		0			0
$474$	4.14544	+	2.39337i	0.190406	+	0.109931i
$475$	2.22530	+	6.84877i	0.102104	+	0.314243i
$476$	−1.36468	+	7.93588i	−0.0625499	+	0.363740i
$477$	17.7624	−	12.9051i	0.813283	−	0.590884i
$478$	−9.09105	−	10.0966i	−0.415815	−	0.461809i
$479$	−5.91538	+	1.25735i	−0.270281	+	0.0574499i	−0.341058	−	0.940042i	$-0.610785\pi$
$479$	−5.91538	+	1.25735i	−0.270281	+	0.0574499i	0.0707776	+	0.997492i	$0.477452\pi$
$480$	−5.99865	+	13.4732i	−0.273800	+	0.614964i
$481$	−11.3457	+	5.05142i	−0.517318	+	0.230325i
$482$	−3.13300	+	1.01797i	−0.142704	+	0.0463675i
$483$	−6.36322	−	4.25294i	−0.289536	−	0.193516i
$484$		0			0
$485$	−4.47299	+	7.74745i	−0.203108	+	0.351793i
$486$	5.76352	−	6.40104i	0.261439	−	0.290357i
$487$	0.103449	−	0.984253i	0.00468773	−	0.0446008i	−0.991928	−	0.126803i	$-0.959529\pi$
$487$	0.103449	−	0.984253i	0.00468773	−	0.0446008i	0.996616	+	0.0822018i	$0.0261952\pi$
$488$	10.6844	−	1.12298i	0.483662	−	0.0508349i
$489$	15.9337	+	5.17718i	0.720547	+	0.234120i
$490$	−2.55596	−	3.72099i	−0.115467	−	0.168097i
$491$	13.1014	+	18.0325i	0.591257	+	0.813796i	0.994873	−	0.101133i	$-0.0322467\pi$
$491$	13.1014	+	18.0325i	0.591257	+	0.813796i	−0.403616	+	0.914929i	$0.632247\pi$
$492$	−3.49121	−	7.84140i	−0.157396	−	0.353517i
$493$	9.13258	+	8.22301i	0.411311	+	0.370346i
$494$	4.44594	−	2.56687i	0.200032	−	0.115489i
$495$		0			0
$496$		−	25.1985i		−	1.13145i
$497$	−39.8523	−	11.2450i	−1.78762	−	0.504407i
$498$	7.00958	+	5.09276i	0.314107	+	0.228212i
$499$	−1.55480	−	14.7929i	−0.0696024	−	0.662223i	−0.972585	−	0.232546i	$-0.925294\pi$
$499$	−1.55480	−	14.7929i	−0.0696024	−	0.662223i	0.902983	−	0.429677i	$-0.141372\pi$
$500$	4.05517	+	19.0781i	0.181353	+	0.853198i
$501$	2.85799	+	13.4458i	0.127686	+	0.600714i
$502$	0.484594	+	4.61061i	0.0216285	+	0.205781i
$503$	26.9585	+	19.5865i	1.20202	+	0.873317i	0.994482	−	0.104910i	$-0.0334554\pi$
$503$	26.9585	+	19.5865i	1.20202	+	0.873317i	0.207537	+	0.978227i	$0.433455\pi$
$504$	−6.71499	−	6.89490i	−0.299110	−	0.307123i
$505$			16.9171i			0.752803i
$506$		0			0
$507$	−18.4359	+	10.6440i	−0.818766	+	0.472715i
$508$	22.3504	+	20.1244i	0.991639	+	0.892876i
$509$	13.4553	+	30.2211i	0.596395	+	1.33953i	0.919473	+	0.393153i	$0.128616\pi$
$509$	13.4553	+	30.2211i	0.596395	+	1.33953i	−0.323078	+	0.946372i	$0.604717\pi$
$510$	1.45915	+	2.00834i	0.0646121	+	0.0889310i
$511$	8.48102	−	21.2499i	0.375178	−	0.940042i
$512$	−21.6451	−	7.03292i	−0.956587	−	0.310814i
$513$	−4.96216	+	0.521544i	−0.219085	+	0.0230267i
$514$	0.545044	−	5.18574i	0.0240408	−	0.228733i
$515$	6.55931	−	7.28486i	0.289038	−	0.321009i
$516$	10.3543	−	17.9342i	0.455823	−	0.789509i
$517$		0			0
$518$	−0.217571	+	3.31300i	−0.00955954	+	0.145565i
$519$	10.5230	−	3.41913i	0.461908	−	0.150083i
$520$	10.5379	−	4.69178i	0.462118	−	0.205748i
$521$	5.95246	−	13.3694i	0.260782	−	0.585726i	−0.734939	−	0.678133i	$-0.762789\pi$
$521$	5.95246	−	13.3694i	0.260782	−	0.585726i	0.995721	+	0.0924072i	$0.0294561\pi$
$522$	−6.74584	+	1.43387i	−0.295258	+	0.0627589i
$523$	−14.0255	−	15.5769i	−0.613293	−	0.681131i	0.353868	−	0.935295i	$-0.384866\pi$
$523$	−14.0255	−	15.5769i	−0.613293	−	0.681131i	−0.967161	+	0.254164i	$0.918200\pi$
$524$	23.0044	−	16.7137i	1.00495	−	0.730140i
$525$	−18.6242	−	3.20268i	−0.812829	−	0.139777i
$526$	−0.689918	−	2.12335i	−0.0300819	−	0.0925825i
$527$	−14.0313	−	8.10097i	−0.611212	−	0.352884i
$528$		0			0
$529$	10.6653	+	18.4728i	0.463709	+	0.803167i
$530$	6.88099	+	1.46260i	0.298891	+	0.0635313i
$531$	6.94544	−	9.55958i	0.301406	−	0.414850i
$532$	0.413703	+	10.5639i	0.0179363	+	0.458003i
$533$	−3.17509	+	9.77193i	−0.137529	+	0.423269i
$534$	2.72759	−	2.45593i	0.118034	−	0.106279i
$535$	13.5097	+	6.01491i	0.584076	+	0.260047i
$536$	2.97681	+	0.312875i	0.128579	+	0.0135142i
$537$	3.30394	−	15.5438i	0.142576	−	0.670766i
$538$	−8.38271			−0.361404
$539$		0			0
$540$	−5.26387			−0.226521
$541$	−1.90518	+	8.96318i	−0.0819102	+	0.385357i	−0.999938	−	0.0111595i	$-0.996448\pi$
$541$	−1.90518	+	8.96318i	−0.0819102	+	0.385357i	0.918028	+	0.396517i	$0.129781\pi$
$542$	14.9522	+	1.57154i	0.642254	+	0.0675036i
$543$	−0.625561	−	0.278518i	−0.0268454	−	0.0119523i
$544$	−6.25627	+	5.63317i	−0.268236	+	0.241520i
$545$	−0.522216	+	1.60722i	−0.0223693	+	0.0688456i
$546$	0.527188	+	13.4617i	0.0225616	+	0.576109i
$547$	−4.32247	+	5.94937i	−0.184815	+	0.254377i	−0.891364	−	0.453288i	$-0.850251\pi$
$547$	−4.32247	+	5.94937i	−0.184815	+	0.254377i	0.706549	+	0.707664i	$0.250251\pi$
$548$	27.6590	+	5.87910i	1.18153	+	0.251143i
$549$	−5.98209	−	10.3613i	−0.255309	−	0.442209i
$550$		0			0
$551$	13.9728	+	8.06721i	0.595262	+	0.343675i
$552$	−1.61563	−	4.97240i	−0.0687659	−	0.211640i
$553$	11.6291	+	1.99978i	0.494520	+	0.0850391i
$554$	−5.58311	+	4.05637i	−0.237204	+	0.172339i
$555$	−5.27584	−	5.85941i	−0.223947	−	0.248718i
$556$	15.3903	−	3.27131i	0.652695	−	0.138735i
$557$	3.25600	−	7.31310i	0.137961	−	0.309866i	−0.831331	−	0.555778i	$-0.812421\pi$
$557$	3.25600	−	7.31310i	0.137961	−	0.309866i	0.969292	+	0.245912i	$0.0790873\pi$
$558$	8.30633	−	3.69822i	0.351635	−	0.156558i
$559$	−23.5759	+	7.66028i	−0.997155	+	0.323995i
$560$	−0.623689	+	9.49703i	−0.0263557	+	0.401323i
$561$		0			0
$562$	5.96304	−	10.3283i	0.251536	−	0.435673i
$563$	17.4648	−	19.3967i	0.736055	−	0.817471i	−0.252617	−	0.967566i	$-0.581291\pi$
$563$	17.4648	−	19.3967i	0.736055	−	0.817471i	0.988672	+	0.150095i	$0.0479579\pi$
$564$	−2.63096	+	25.0319i	−0.110783	+	1.05403i
$565$	−7.74024	+	0.813532i	−0.325634	+	0.0342255i
$566$	−2.77151	−	0.900518i	−0.116495	−	0.0378516i
$567$	10.7752	−	26.9983i	0.452517	−	1.13382i
$568$	−16.6264	−	22.8843i	−0.697630	−	0.960205i
$569$	12.3283	+	27.6898i	0.516829	+	1.16082i	0.963887	+	0.266312i	$0.0858052\pi$
$569$	12.3283	+	27.6898i	0.516829	+	1.16082i	−0.447058	+	0.894505i	$0.647528\pi$
$570$	2.42207	+	2.18085i	0.101450	+	0.0913456i
$571$	0.104033	−	0.0600632i	0.00435363	−	0.00251357i	−0.497822	−	0.867279i	$-0.665867\pi$
$571$	0.104033	−	0.0600632i	0.00435363	−	0.00251357i	0.502175	+	0.864766i	$0.332533\pi$
$572$		0			0
$573$		−	45.4937i		−	1.90053i
$574$	1.91645	+	1.96780i	0.0799913	+	0.0821344i
$575$	−3.33472	−	2.42281i	−0.139067	−	0.101038i
$576$	0.631311	+	6.00652i	0.0263046	+	0.250272i
$577$	1.13060	+	5.31907i	0.0470676	+	0.221436i	0.995395	−	0.0958576i	$-0.0305593\pi$
$577$	1.13060	+	5.31907i	0.0470676	+	0.221436i	−0.948327	+	0.317293i	$0.897226\pi$
$578$	−1.39974	−	6.58525i	−0.0582215	−	0.273910i
$579$	−3.08860	−	29.3861i	−0.128358	−	1.22124i
$580$	13.7708	+	10.0051i	0.571802	+	0.415439i
$581$	20.5557	+	5.80016i	0.852796	+	0.240631i
$582$		−	7.13723i		−	0.295848i
$583$		0			0
$584$	13.5356	−	7.81476i	0.560106	−	0.323377i
$585$	−9.54648	−	8.59569i	−0.394699	−	0.355388i
$586$	−4.02887	−	9.04900i	−0.166431	−	0.373811i
$587$	0.652189	+	0.897661i	0.0269187	+	0.0370504i	0.822264	−	0.569106i	$-0.192711\pi$
$587$	0.652189	+	0.897661i	0.0269187	+	0.0370504i	−0.795346	+	0.606156i	$0.792711\pi$
$588$	−25.0376	−	11.9502i	−1.03253	−	0.492817i
$589$	−20.2305	−	6.57329i	−0.833583	−	0.270848i
$590$	3.76529	−	0.395748i	0.155015	−	0.0162927i
$591$	1.18979	−	11.3201i	0.0489414	−	0.465646i
$592$	4.68383	−	5.20192i	0.192504	−	0.213798i
$593$	−1.02128	+	1.76892i	−0.0419391	+	0.0726407i	−0.886233	−	0.463240i	$-0.846687\pi$
$593$	−1.02128	+	1.76892i	−0.0419391	+	0.0726407i	0.844294	+	0.535880i	$0.180020\pi$
$594$		0			0
$595$	5.08773	+	3.40045i	0.208576	+	0.139405i
$596$	−17.6476	+	5.73404i	−0.722872	+	0.234875i
$597$	−11.2278	+	4.99892i	−0.459522	+	0.204592i
$598$	−1.19520	+	2.68447i	−0.0488755	+	0.109776i
$599$	4.87344	−	1.03588i	0.199123	−	0.0423250i	−0.107270	−	0.994230i	$-0.534211\pi$
$599$	4.87344	−	1.03588i	0.199123	−	0.0423250i	0.306393	+	0.951905i	$0.400878\pi$
$600$	−8.63794	−	9.59341i	−0.352643	−	0.391649i
$601$	11.1144	−	8.07505i	0.453364	−	0.329388i	−0.337558	−	0.941305i	$-0.609601\pi$
$601$	11.1144	−	8.07505i	0.453364	−	0.329388i	0.790923	+	0.611916i	$0.209601\pi$
$602$	−1.12312	+	6.53116i	−0.0457749	+	0.266190i
$603$	−1.03007	−	3.17022i	−0.0419475	−	0.129101i
$604$	−9.32305	−	5.38266i	−0.379349	−	0.219017i
$605$		0			0
$606$	−6.74837	−	11.6885i	−0.274134	−	0.474814i
$607$	3.37499	+	0.717377i	0.136987	+	0.0291174i	0.275895	−	0.961188i	$-0.411026\pi$
$607$	3.37499	+	0.717377i	0.136987	+	0.0291174i	−0.138908	+	0.990305i	$0.544359\pi$
$608$	−6.49672	+	8.94197i	−0.263477	+	0.362645i
$609$	−35.8113	+	22.5888i	−1.45115	+	0.915345i
$610$	1.18459	−	3.64580i	0.0479627	−	0.147614i
$611$	22.3905	−	20.1605i	0.905822	−	0.815606i
$612$	5.59618	+	2.49158i	0.226212	+	0.100716i
$613$	−21.7459	−	2.28559i	−0.878309	−	0.0923140i	−0.345369	−	0.938467i	$-0.612246\pi$
$613$	−21.7459	−	2.28559i	−0.878309	−	0.0923140i	−0.532940	+	0.846153i	$0.678913\pi$
$614$	−2.90629	+	13.6730i	−0.117288	+	0.551797i
$615$	−6.52311			−0.263037
$616$		0			0
$617$	13.9890			0.563177			0.281589	−	0.959535i	$-0.409139\pi$
$617$	13.9890			0.563177			0.281589	+	0.959535i	$0.409139\pi$
$618$	−1.62603	+	7.64986i	−0.0654085	+	0.307723i
$619$	4.41019	+	0.463530i	0.177261	+	0.0186308i	0.192743	−	0.981249i	$-0.438262\pi$
$619$	4.41019	+	0.463530i	0.177261	+	0.0186308i	−0.0154823	+	0.999880i	$0.504928\pi$
$620$	−20.5012	−	9.12772i	−0.823348	−	0.366578i
$621$	2.12239	−	1.91101i	0.0851685	−	0.0766861i
$622$	−3.43233	+	10.5636i	−0.137624	+	0.423563i
$623$	4.21378	−	8.00659i	0.168821	−	0.320777i
$624$	16.6950	−	22.9787i	0.668335	−	0.919884i
$625$	−1.10392	−	0.234646i	−0.0441569	−	0.00938585i
$626$	2.97147	+	5.14673i	0.118764	+	0.205705i
$627$		0			0
$628$	−28.0054	−	16.1689i	−1.11754	−	0.645210i
$629$	−1.39080	−	4.28044i	−0.0554549	−	0.170672i
$630$	−3.22210	+	1.18823i	−0.128371	+	0.0473401i
$631$	−28.3320	+	20.5844i	−1.12788	+	0.819453i	−0.985385	−	0.170343i	$-0.945512\pi$
$631$	−28.3320	+	20.5844i	−1.12788	+	0.819453i	−0.142495	+	0.989796i	$0.545512\pi$
$632$	5.39359	+	5.99019i	0.214545	+	0.238277i
$633$	−17.5286	+	3.72581i	−0.696698	+	0.148088i
$634$	−0.0923920	+	0.207516i	−0.00366935	+	0.00824150i
$635$	20.8802	−	9.29644i	0.828604	−	0.368918i
$636$	41.1170	−	13.3597i	1.63040	−	0.529747i
$637$	12.7010	+	30.6852i	0.503233	+	1.21579i
$638$		0			0
$639$	−15.7506	+	27.2808i	−0.623083	+	1.07921i
$640$	−10.1103	+	11.2286i	−0.399645	+	0.443850i
$641$	0.620059	−	5.89946i	0.0244908	−	0.233015i	−0.975429	−	0.220316i	$-0.929291\pi$
$641$	0.620059	−	5.89946i	0.0244908	−	0.233015i	0.999919	−	0.0126987i	$-0.00404223\pi$
$642$	−11.7336	+	1.23325i	−0.463089	+	0.0486726i
$643$	−31.4210	−	10.2093i	−1.23912	−	0.402615i	−0.385111	−	0.922870i	$-0.625837\pi$
$643$	−31.4210	−	10.2093i	−1.23912	−	0.402615i	−0.854011	+	0.520255i	$0.825837\pi$
$644$	−3.74574	−	4.75270i	−0.147603	−	0.187283i
$645$	−9.25042	−	12.7321i	−0.364235	−	0.501326i
$646$	0.756710	+	1.69960i	0.0297723	+	0.0668698i
$647$	3.46693	+	3.12164i	0.136299	+	0.122724i	0.734461	−	0.678651i	$-0.237435\pi$
$647$	3.46693	+	3.12164i	0.136299	+	0.122724i	−0.598161	+	0.801376i	$0.704102\pi$
$648$	17.1971	−	9.92875i	0.675566	−	0.390038i
$649$		0			0
$650$			7.25551i			0.284584i
$651$	39.9900	−	38.9465i	1.56733	−	1.52644i
$652$	10.7165	+	7.78599i	0.419690	+	0.304923i
$653$	−1.05758	−	10.0622i	−0.0413863	−	0.393765i	−0.995532	−	0.0944225i	$-0.969900\pi$
$653$	−1.05758	−	10.0622i	−0.0413863	−	0.393765i	0.954146	−	0.299342i	$-0.0967671\pi$
$654$	−0.280317	−	1.31879i	−0.0109612	−	0.0515686i
$655$	−4.49286	−	21.1373i	−0.175551	−	0.825901i
$656$	−0.605340	−	5.75942i	−0.0236345	−	0.224868i
$657$	−14.0815	−	10.2308i	−0.549372	−	0.399142i
$658$	−1.98168	−	7.80707i	−0.0772539	−	0.304351i
$659$		−	16.3262i		−	0.635978i	−0.948094	−	0.317989i	$-0.896992\pi$
$659$		−	16.3262i		−	0.635978i	0.948094	−	0.317989i	$-0.103008\pi$
$660$		0			0
$661$	6.68945	−	3.86215i	0.260189	−	0.150220i	−0.364232	−	0.931308i	$-0.618668\pi$
$661$	6.68945	−	3.86215i	0.260189	−	0.150220i	0.624421	+	0.781088i	$0.285335\pi$
$662$	6.62952	+	5.96924i	0.257663	+	0.232001i
$663$	−7.42802	−	16.6836i	−0.288480	−	0.647938i
$664$	8.57589	+	11.8037i	0.332809	+	0.458073i
$665$	7.46195	+	2.97812i	0.289362	+	0.115487i
$666$	2.40215	+	0.780507i	0.0930816	+	0.0302440i
$667$	−9.18465	+	0.965346i	−0.355631	+	0.0373783i
$668$	−1.13606	+	10.8089i	−0.0439555	+	0.418208i
$669$	−19.4201	+	21.5682i	−0.750825	+	0.833876i
$670$	0.534018	−	0.924946i	0.0206309	−	0.0357338i
$671$		0			0
$672$	−12.8254	−	26.0156i	−0.494749	−	1.00358i
$673$	28.3029	−	9.19616i	1.09100	−	0.354486i	0.292364	−	0.956307i	$-0.405558\pi$
$673$	28.3029	−	9.19616i	1.09100	−	0.354486i	0.798631	+	0.601821i	$0.205558\pi$
$674$	−9.04476	+	4.02699i	−0.348391	+	0.155114i
$675$	2.86816	−	6.44200i	0.110396	−	0.247953i
$676$	−16.4635	+	3.49942i	−0.633211	+	0.134593i
$677$	20.2927	+	22.5373i	0.779911	+	0.866179i	0.993858	−	0.110667i	$-0.0352986\pi$
$677$	20.2927	+	22.5373i	0.779911	+	0.866179i	−0.213947	+	0.976845i	$0.568632\pi$
$678$	5.02342	−	3.64973i	0.192923	−	0.140167i
$679$	−6.08746	−	16.5073i	−0.233615	−	0.633492i
$680$	1.29178	+	3.97570i	0.0495376	+	0.152461i
$681$	37.4299	+	21.6102i	1.43432	+	0.828104i
$682$		0			0
$683$	−21.1679	−	36.6639i	−0.809968	−	1.40291i	−0.912885	−	0.408216i	$-0.866151\pi$
$683$	−21.1679	−	36.6639i	−0.809968	−	1.40291i	0.102918	−	0.994690i	$-0.467182\pi$
$684$	7.86682	+	1.67214i	0.300795	+	0.0639360i
$685$	12.6311	−	17.3853i	0.482611	−	0.664257i
$686$	8.84063	+	0.815762i	0.337537	+	0.0311459i
$687$	4.38840	−	13.5061i	0.167428	−	0.515290i
$688$	10.3831	−	9.34897i	0.395851	−	0.356426i
$689$	−47.2777	−	21.0494i	−1.80114	−	0.801917i
$690$	−1.85534	−	0.195004i	−0.0706316	−	0.00742368i
$691$	4.35931	−	20.5089i	0.165836	−	0.780197i	−0.814075	−	0.580760i	$-0.802755\pi$
$691$	4.35931	−	20.5089i	0.165836	−	0.780197i	0.979911	−	0.199437i	$-0.0639112\pi$
$692$	8.74818			0.332556
$693$		0			0
$694$	−2.50504			−0.0950900
$695$	2.48607	−	11.6960i	0.0943020	−	0.443656i
$696$	−28.7648	−	3.02330i	−1.09033	−	0.114598i
$697$	−3.40163	−	1.51450i	−0.128846	−	0.0573659i
$698$	5.66600	−	5.10169i	0.214461	−	0.193102i
$699$	−11.9356	+	36.7339i	−0.451445	+	1.38940i
$700$	−13.2221	−	6.95862i	−0.499747	−	0.263011i
$701$	0.220814	−	0.303924i	0.00834003	−	0.0114791i	−0.804827	−	0.593510i	$-0.797742\pi$
$701$	0.220814	−	0.303924i	0.00834003	−	0.0114791i	0.813167	+	0.582031i	$0.197742\pi$
$702$	−4.91725	−	1.04519i	−0.185590	−	0.0394483i
$703$	−2.95451	−	5.11737i	−0.111432	−	0.193005i
$704$		0			0
$705$	16.5654	+	9.56402i	0.623888	+	0.360202i
$706$	0.262724	+	0.808583i	0.00988776	+	0.0304314i
$707$	−25.5772	−	21.2779i	−0.961931	−	0.800238i
$708$	18.8240	−	13.6764i	0.707448	−	0.513991i
$709$	23.4950	+	26.0938i	0.882373	+	0.979974i	0.999914	−	0.0130940i	$-0.00416806\pi$
$709$	23.4950	+	26.0938i	0.882373	+	0.979974i	−0.117542	+	0.993068i	$0.537501\pi$
$710$	−9.87266	+	2.09850i	−0.370514	+	0.0787552i
$711$	3.65112	−	8.20054i	0.136928	−	0.307544i
$712$	5.64628	−	2.51389i	0.211603	−	0.0942118i
$713$	11.5798	−	3.76251i	0.433668	−	0.140907i
$714$	−4.87172	−	0.319935i	−0.182319	−	0.0119733i
$715$		0			0
$716$	6.28215	−	10.8810i	0.234775	−	0.406642i
$717$	−42.4594	+	47.1559i	−1.58568	+	1.76107i
$718$	0.809293	−	7.69991i	0.0302025	−	0.287358i
$719$	4.43794	−	0.466446i	0.165507	−	0.0173955i	−0.0214124	−	0.999771i	$-0.506816\pi$
$719$	4.43794	−	0.466446i	0.165507	−	0.0173955i	0.186919	+	0.982375i	$0.440150\pi$
$720$	6.88600	+	2.23740i	0.256626	+	0.0833828i
$721$	2.76395	+	19.0798i	0.102935	+	0.710569i
$722$	−3.91793	−	5.39257i	−0.145810	−	0.200691i
$723$	6.25789	+	14.0555i	0.232733	+	0.522728i
$724$	−0.402344	−	0.362272i	−0.0149530	−	0.0134637i
$725$	−19.7478	+	11.4014i	−0.733414	+	0.423437i
$726$		0			0
$727$			43.6196i			1.61776i	0.587972	+	0.808881i	$0.299926\pi$
$727$			43.6196i			1.61776i	−0.587972	+	0.808881i	$0.700074\pi$
$728$	−6.16073	+	21.8336i	−0.228332	+	0.809207i
$729$	−5.87951	−	4.27172i	−0.217760	−	0.158212i
$730$	−0.582947	−	5.54637i	−0.0215759	−	0.205281i
$731$	−1.86777	−	8.78717i	−0.0690820	−	0.325005i
$732$	−4.89817	−	23.0441i	−0.181042	−	0.851734i
$733$	−0.0986061	−	0.938174i	−0.00364210	−	0.0346522i	0.992550	−	0.121839i	$-0.0388791\pi$
$733$	−0.0986061	−	0.938174i	−0.00364210	−	0.0346522i	−0.996192	+	0.0871865i	$0.972212\pi$
$734$	0.989703	+	0.719061i	0.0365306	+	0.0265410i
$735$	−16.0357	+	13.6887i	−0.591487	+	0.504916i
$736$		−	6.32661i		−	0.233202i
$737$		0			0
$738$	1.80967	−	1.04481i	0.0666149	−	0.0384601i
$739$	−13.5257	−	12.1786i	−0.497552	−	0.447998i	0.381748	−	0.924267i	$-0.375322\pi$
$739$	−13.5257	−	12.1786i	−0.497552	−	0.447998i	−0.879300	+	0.476268i	$0.841989\pi$
$740$	−2.53558	−	5.69502i	−0.0932099	−	0.209353i
$741$	−14.0933	−	19.3977i	−0.517729	−	0.712593i
$742$	−10.8660	+	8.56384i	−0.398905	+	0.314388i
$743$	27.7597	+	9.01969i	1.01841	+	0.330900i	0.770197	−	0.637806i	$-0.220158\pi$
$743$	27.7597	+	9.01969i	1.01841	+	0.330900i	0.248209	+	0.968706i	$0.420158\pi$
$744$	37.9234	−	3.98591i	1.39034	−	0.146131i
$745$	−1.47402	+	14.0244i	−0.0540040	+	0.513814i
$746$	1.36888	−	1.52029i	0.0501182	−	0.0556619i
$747$	8.12412	−	14.0714i	0.297246	−	0.514845i
$748$		0			0
$749$	−26.0862	+	12.8601i	−0.953168	+	0.469899i
$750$	−11.2468	+	3.65431i	−0.410676	+	0.133437i
$751$	11.4516	−	5.09856i	0.417873	−	0.186049i	−0.187019	−	0.982356i	$-0.559883\pi$
$751$	11.4516	−	5.09856i	0.417873	−	0.186049i	0.604893	+	0.796307i	$0.293216\pi$
$752$	−6.90707	+	15.5135i	−0.251875	+	0.565720i
$753$	21.1791	−	4.50176i	0.771810	−	0.164053i
$754$	10.8774	+	12.0806i	0.396132	+	0.439949i
$755$	−6.61875	+	4.80881i	−0.240881	+	0.175010i
$756$	6.62075	−	7.95851i	0.240794	−	0.289448i
$757$	15.6877	+	48.2816i	0.570177	+	1.75483i	0.652042	+	0.758182i	$0.273912\pi$
$757$	15.6877	+	48.2816i	0.570177	+	1.75483i	−0.0818650	+	0.996643i	$0.526088\pi$
$758$	6.55528	+	3.78469i	0.238098	+	0.137466i
$759$		0			0
$760$	2.74417	+	4.75304i	0.0995414	+	0.172411i
$761$	−0.887276	−	0.188596i	−0.0321637	−	0.00683661i	0.191802	−	0.981434i	$-0.438567\pi$
$761$	−0.887276	−	0.188596i	−0.0321637	−	0.00683661i	−0.223965	+	0.974597i	$0.571900\pi$
$762$	−10.7183	+	14.7524i	−0.388281	+	0.534424i
$763$	−1.77314	−	2.81106i	−0.0641921	−	0.101767i
$764$	11.1152	−	34.2091i	0.402134	−	1.23764i
$765$	3.45960	−	3.11504i	0.125082	−	0.112624i
$766$	−5.06202	−	2.25376i	−0.182898	−	0.0814316i
$767$	−27.6999	−	2.91138i	−1.00019	−	0.105124i
$768$	−0.287321	+	1.35174i	−0.0103678	+	0.0487767i
$769$	−29.9499			−1.08002			−0.540011	−	0.841658i	$-0.681580\pi$
$769$	−29.9499			−1.08002			−0.540011	+	0.841658i	$0.681580\pi$
$770$		0			0
$771$	−24.3532			−0.877061
$772$	4.85725	−	22.8516i	0.174816	−	0.822446i
$773$	31.5236	+	3.31327i	1.13383	+	0.119170i	0.652796	−	0.757534i	$-0.273596\pi$
$773$	31.5236	+	3.31327i	1.13383	+	0.119170i	0.481030	+	0.876704i	$0.340263\pi$
$774$	4.60561	+	2.05055i	0.165545	+	0.0737055i
$775$	22.3413	−	20.1162i	0.802523	−	0.722595i
$776$	3.71397	−	11.4304i	0.133324	−	0.410329i
$777$	15.4947	−	0.606804i	0.555870	−	0.0217690i
$778$	−2.20003	+	3.02808i	−0.0788749	+	0.108562i
$779$	−4.78183	−	1.01641i	−0.171327	−	0.0364167i
$780$	−12.6477	−	21.9065i	−0.452861	−	0.784378i
$781$		0			0
$782$	−0.922235	−	0.532453i	−0.0329791	−	0.0190405i
$783$	−4.88225	−	15.0260i	−0.174477	−	0.536986i
$784$	−13.5742	−	12.8881i	−0.484794	−	0.460288i
$785$	−19.8820	+	14.4451i	−0.709619	+	0.515568i
$786$	11.5360	+	12.8121i	0.411477	+	0.456992i
$787$	31.9872	−	6.79909i	1.14022	−	0.242361i	0.401165	−	0.916006i	$-0.368605\pi$
$787$	31.9872	−	6.79909i	1.14022	−	0.242361i	0.739055	+	0.673645i	$0.235272\pi$
$788$	3.66044	−	8.22147i	0.130398	−	0.292878i
$789$	−9.52589	+	4.24120i	−0.339131	+	0.150991i
$790$	2.73541	−	0.888788i	0.0973214	−	0.0316217i
$791$	8.50547	−	12.7258i	0.302420	−	0.452477i
$792$		0			0
$793$	−14.1005	+	24.4229i	−0.500725	+	0.867281i
$794$	−4.36566	+	4.84856i	−0.154932	+	0.172069i
$795$	3.43432	−	32.6754i	0.121803	−	1.15888i
$796$	−9.66411	+	1.01574i	−0.342535	+	0.0360019i
$797$	11.2020	+	3.63975i	0.396795	+	0.128927i	0.500616	−	0.865669i	$-0.333107\pi$
$797$	11.2020	+	3.63975i	0.396795	+	0.128927i	−0.103821	+	0.994596i	$0.533107\pi$
$798$	−6.34366	+	0.918959i	−0.224563	+	0.0325308i
$799$	6.41788	+	8.83345i	0.227048	+	0.312505i
$800$	−6.35365	−	14.2705i	−0.224636	−	0.504540i
$801$	−5.11506	−	4.60562i	−0.180732	−	0.162732i
$802$	1.22607	−	0.707870i	0.0432939	−	0.0249958i
$803$		0			0
$804$		−	6.56379i		−	0.231487i
$805$	−4.45743	+	1.13144i	−0.157104	+	0.0398779i
$806$	−17.3388	−	12.5974i	−0.610734	−	0.443724i
$807$	4.09241	+	38.9367i	0.144060	+	1.37064i
$808$	−4.72535	−	22.2310i	−0.166237	−	0.782085i
$809$	2.34870	+	11.0498i	0.0825758	+	0.388489i	0.999955	−	0.00952658i	$-0.00303245\pi$
$809$	2.34870	+	11.0498i	0.0825758	+	0.388489i	−0.917379	+	0.398015i	$0.869699\pi$
$810$	−0.740642	−	7.04674i	−0.0260235	−	0.247597i
$811$	27.4962	+	19.9772i	0.965522	+	0.701493i	0.954427	−	0.298445i	$-0.0964681\pi$
$811$	27.4962	+	19.9772i	0.965522	+	0.701493i	0.0110956	+	0.999938i	$0.496468\pi$
$812$	−32.4474	+	8.23616i	−1.13868	+	0.289033i
$813$		−	70.2185i		−	2.46267i
$814$		0			0
$815$	8.71800	−	5.03334i	0.305378	−	0.176310i
$816$	7.64934	+	6.88749i	0.267780	+	0.241111i
$817$	−4.79724	−	10.7748i	−0.167834	−	0.376962i
$818$	0.999863	+	1.37619i	0.0349594	+	0.0481175i
$819$	25.0032	−	3.62203i	0.873684	−	0.126564i
$820$	−4.90507	−	1.59375i	−0.171292	−	0.0556563i
$821$	−6.32173	+	0.664441i	−0.220630	+	0.0231892i	−0.214198	−	0.976790i	$-0.568714\pi$
$821$	−6.32173	+	0.664441i	−0.220630	+	0.0231892i	−0.00643159	+	0.999979i	$0.502047\pi$
$822$	−1.79209	+	17.0506i	−0.0625064	+	0.594708i
$823$	2.21577	−	2.46086i	0.0772367	−	0.0857801i	−0.703288	−	0.710905i	$-0.748285\pi$
$823$	2.21577	−	2.46086i	0.0772367	−	0.0857801i	0.780524	+	0.625125i	$0.214952\pi$
$824$	−6.58485	+	11.4053i	−0.229394	+	0.397322i
$825$		0			0
$826$	−4.13754	+	6.19056i	−0.143964	+	0.215397i
$827$	25.1017	−	8.15602i	0.872870	−	0.283613i	0.161877	−	0.986811i	$-0.448245\pi$
$827$	25.1017	−	8.15602i	0.872870	−	0.283613i	0.710994	+	0.703198i	$0.248245\pi$
$828$	−4.20552	+	1.87242i	−0.146152	+	0.0650711i
$829$	6.64326	−	14.9210i	0.230730	−	0.518228i	−0.760663	−	0.649147i	$-0.775126\pi$
$829$	6.64326	−	14.9210i	0.230730	−	0.518228i	0.991393	+	0.130919i	$0.0417927\pi$
$830$	5.09230	−	1.08240i	0.176756	−	0.0375707i
$831$	21.5670	+	23.9526i	0.748151	+	0.830906i
$832$	11.5173	−	8.36778i	0.399289	−	0.290101i
$833$	−11.5404	+	3.41521i	−0.399851	+	0.118330i
$834$	2.94794	+	9.07283i	0.102079	+	0.314166i
$835$	7.15301	+	4.12979i	0.247540	+	0.142917i
$836$		0			0
$837$	10.4149	+	18.0391i	0.359991	+	0.623523i
$838$	−17.8261	−	3.78904i	−0.615791	−	0.130890i
$839$	−7.99462	+	11.0037i	−0.276005	+	0.379888i	−0.924406	−	0.381411i	$-0.875438\pi$
$839$	−7.99462	+	11.0037i	−0.276005	+	0.379888i	0.648400	+	0.761299i	$0.275438\pi$
$840$	−14.3916	+	0.563603i	−0.496557	+	0.0194461i
$841$	−6.82614	+	21.0087i	−0.235384	+	0.724438i
$842$	−1.80624	+	1.62634i	−0.0622470	+	0.0560474i
$843$	−50.8848	−	22.6554i	−1.75257	−	0.780293i
$844$	−14.0910	−	1.48102i	−0.485031	−	0.0509788i
$845$	−2.65943	+	12.5116i	−0.0914870	+	0.430413i
$846$	−6.12752			−0.210668
$847$		0			0
$848$	29.1686			1.00166
$849$	−2.82976	+	13.3130i	−0.0971170	+	0.456899i
$850$	−2.61496	−	0.274843i	−0.0896923	−	0.00942704i
$851$	3.08988	+	1.37570i	0.105920	+	0.0471585i
$852$	−46.0969	+	41.5058i	−1.57925	+	1.42197i
$853$	−13.2742	+	40.8537i	−0.454499	+	1.39881i	0.417223	+	0.908804i	$0.363004\pi$
$853$	−13.2742	+	40.8537i	−0.454499	+	1.39881i	−0.871722	+	0.490001i	$0.836996\pi$
$854$	4.02218	+	6.37658i	0.137636	+	0.218202i
$855$	3.59257	−	4.94474i	0.122863	−	0.169107i
$856$	−19.4334	−	4.13070i	−0.664220	−	0.141184i
$857$	−21.1712	−	36.6696i	−0.723195	−	1.25261i	−0.959713	−	0.280984i	$-0.909339\pi$
$857$	−21.1712	−	36.6696i	−0.723195	−	1.25261i	0.236517	−	0.971627i	$-0.423994\pi$
$858$		0			0
$859$	−31.2199	−	18.0248i	−1.06521	−	0.614999i	−0.138341	−	0.990385i	$-0.544177\pi$
$859$	−31.2199	−	18.0248i	−1.06521	−	0.614999i	−0.926869	+	0.375386i	$0.877510\pi$
$860$	−3.84512	−	11.8341i	−0.131117	−	0.403538i
$861$	8.20458	−	9.86237i	0.279611	−	0.336109i
$862$	3.91593	−	2.84509i	0.133377	−	0.0969041i
$863$	−0.882436	−	0.980044i	−0.0300385	−	0.0333611i	0.727938	−	0.685643i	$-0.240479\pi$
$863$	−0.882436	−	0.980044i	−0.0300385	−	0.0333611i	−0.757977	+	0.652281i	$0.773812\pi$
$864$	10.5868	−	2.25029i	0.360170	−	0.0765565i
$865$	2.70410	−	6.07350i	0.0919420	−	0.206505i
$866$	−12.0949	+	5.38499i	−0.411001	+	0.182989i
$867$	−29.9044	+	9.71652i	−1.01561	+	0.329990i
$868$	39.5862	−	19.5154i	1.34364	−	0.662397i
$869$		0			0
$870$	−5.16019	+	8.93770i	−0.174947	+	0.303017i
$871$	−5.25746	+	5.83900i	−0.178142	+	0.197847i
$872$	0.237318	−	2.25793i	0.00803661	−	0.0764632i
$873$	−13.3112	+	1.39906i	−0.450515	+	0.0473510i
$874$	−1.32969	−	0.432043i	−0.0449775	−	0.0146141i
$875$	−22.8953	+	18.0445i	−0.774002	+	0.610014i
$876$	−20.1457	−	27.7282i	−0.680660	−	0.936848i
$877$	−7.73951	−	17.3832i	−0.261345	−	0.586990i	0.734444	−	0.678669i	$-0.237443\pi$
$877$	−7.73951	−	17.3832i	−0.261345	−	0.586990i	−0.995789	+	0.0916797i	$0.970776\pi$
$878$	−10.6524	−	9.59147i	−0.359501	−	0.323697i
$879$	−40.0646	+	23.1313i	−1.35135	+	0.780200i
$880$		0			0
$881$			10.2750i			0.346172i	0.984907	+	0.173086i	$0.0553738\pi$
$881$			10.2750i			0.346172i	−0.984907	+	0.173086i	$0.944626\pi$
$882$	2.25617	−	6.36605i	0.0759691	−	0.214356i
$883$	−36.9309	−	26.8318i	−1.24282	−	0.902963i	−0.245039	−	0.969513i	$-0.578801\pi$
$883$	−36.9309	−	26.8318i	−1.24282	−	0.902963i	−0.997783	+	0.0665498i	$0.978801\pi$
$884$	−1.50931	−	14.3601i	−0.0507636	−	0.482983i
$885$	−3.67641	−	17.2961i	−0.123581	−	0.581403i
$886$	0.0893007	+	0.420127i	0.00300012	+	0.0141144i
$887$	2.70268	+	25.7143i	0.0907472	+	0.863402i	0.941313	+	0.337534i	$0.109593\pi$
$887$	2.70268	+	25.7143i	0.0907472	+	0.863402i	−0.850566	+	0.525868i	$0.823741\pi$
$888$	8.56972	+	6.22627i	0.287581	+	0.208940i
$889$	−12.2071	+	43.2618i	−0.409412	+	1.45095i
$890$		−	2.20537i		−	0.0739241i
$891$		0			0
$892$	−19.8727	+	11.4735i	−0.665386	+	0.384161i
$893$	10.6532	+	9.59217i	0.356495	+	0.320990i
$894$	−4.57599	−	10.2778i	−0.153044	−	0.343742i
$895$	−5.61239	−	7.72480i	−0.187602	−	0.258211i
$896$	−4.26025	−	29.4089i	−0.142325	−	0.982483i
$897$	13.0525	+	4.24102i	0.435811	+	0.141604i
$898$	5.84369	−	0.614196i	0.195006	−	0.0204960i
$899$	7.04071	−	66.9879i	0.234821	−	2.23417i
$900$	−7.60572	+	8.44700i	−0.253524	+	0.281567i
$901$	9.37731	−	16.2420i	0.312404	−	0.541099i
$902$		0			0
$903$	30.8848	+	2.02826i	1.02778	+	0.0674964i
$904$	9.94431	−	3.23110i	0.330743	−	0.107465i
$905$	−0.375877	+	0.167351i	−0.0124946	+	0.00556294i
$906$	2.65481	−	5.96280i	0.0882002	−	0.198101i
$907$	41.3636	−	8.79210i	1.37346	−	0.291937i	0.538672	−	0.842515i	$-0.318926\pi$
$907$	41.3636	−	8.79210i	1.37346	−	0.291937i	0.834783	+	0.550578i	$0.185593\pi$
$908$	22.8656	+	25.3949i	0.758823	+	0.842758i
$909$	−20.4766	+	14.8771i	−0.679167	+	0.493444i
$910$	6.22301	+	5.17697i	0.206291	+	0.171615i
$911$	−1.44469	−	4.44629i	−0.0478647	−	0.147312i	0.924268	−	0.381745i	$-0.124677\pi$
$911$	−1.44469	−	4.44629i	−0.0478647	−	0.147312i	−0.972132	+	0.234433i	$0.924677\pi$
$912$	11.7035	+	6.75700i	0.387540	+	0.223747i
$913$		0			0
$914$	−7.67403	−	13.2918i	−0.253834	−	0.439654i
$915$	−17.5126	−	3.72242i	−0.578949	−	0.123059i
$916$	6.59974	−	9.08376i	0.218062	−	0.300136i
$917$	37.6087	+	19.7930i	1.24195	+	0.653623i
$918$	0.562967	−	1.73263i	0.0185807	−	0.0571854i
$919$	−1.12411	+	1.01215i	−0.0370809	+	0.0333878i	−0.687463	−	0.726220i	$-0.741276\pi$
$919$	−1.12411	+	1.01215i	−0.0370809	+	0.0333878i	0.650382	+	0.759607i	$0.274609\pi$
$920$	−2.86989	−	1.27776i	−0.0946176	−	0.0421265i
$921$	64.9282	+	6.82423i	2.13946	+	0.224866i
$922$	−0.986023	+	4.63887i	−0.0324729	+	0.152773i
$923$	74.2521			2.44404
$924$		0			0
$925$	8.35123			0.274587
$926$	−0.378182	+	1.77921i	−0.0124278	+	0.0584683i
$927$	14.5860	+	1.53305i	0.479067	+	0.0503519i
$928$	−31.9733	−	14.2354i	−1.04957	−	0.467301i
$929$	−24.4622	+	22.0259i	−0.802580	+	0.722646i	−0.964479	−	0.264161i	$-0.914905\pi$
$929$	−24.4622	+	22.0259i	−0.802580	+	0.722646i	0.161899	+	0.986807i	$0.448238\pi$
$930$	4.20460	−	12.9404i	0.137874	−	0.424333i
$931$	−13.8881	+	7.53602i	−0.455164	+	0.246983i
$932$	−17.9500	+	24.7060i	−0.587971	+	0.809273i
$933$	50.7425	+	10.7856i	1.66123	+	0.353106i
$934$	−2.33818	−	4.04984i	−0.0765075	−	0.132515i
$935$		0			0
$936$	14.9461	+	8.62916i	0.488530	+	0.282053i
$937$	1.32070	+	4.06471i	0.0431455	+	0.132788i	0.970309	−	0.241869i	$-0.0777604\pi$
$937$	1.32070	+	4.06471i	0.0431455	+	0.132788i	−0.927163	+	0.374657i	$0.877760\pi$
$938$	0.726765	+	1.97076i	0.0237297	+	0.0643476i
$939$	22.4553	−	16.3147i	0.732801	−	0.532411i
$940$	10.1197	+	11.2390i	0.330067	+	0.366576i
$941$	−55.5413	+	11.8057i	−1.81059	+	0.384854i	−0.984032	−	0.177992i	$-0.943040\pi$
$941$	−55.5413	+	11.8057i	−1.81059	+	0.384854i	−0.826562	+	0.562846i	$0.809706\pi$
$942$	7.97475	−	17.9116i	0.259832	−	0.583591i
$943$	2.55632	−	1.13815i	0.0832453	−	0.0370632i
$944$	14.9300	−	4.85106i	0.485931	−	0.157889i
$945$	−3.47877	−	7.05652i	−0.113164	−	0.229549i
$946$		0			0
$947$	24.2402	−	41.9853i	0.787701	−	1.36434i	−0.139670	−	0.990198i	$-0.544604\pi$
$947$	24.2402	−	41.9853i	0.787701	−	1.36434i	0.927372	−	0.374141i	$-0.122062\pi$
$948$	11.8276	−	13.1358i	0.384141	−	0.426632i
$949$	−4.28853	+	40.8027i	−0.139212	+	1.32451i
$950$	−3.43319	+	0.360843i	−0.111387	+	0.0117073i
$951$	1.00899	+	0.327841i	0.0327188	+	0.0106310i
$952$	−7.63568	−	3.04746i	−0.247474	−	0.0987687i
$953$	29.3755	+	40.4319i	0.951566	+	1.30972i	0.950829	+	0.309718i	$0.100235\pi$
$953$	29.3755	+	40.4319i	0.951566	+	1.30972i	0.000737039		1.00000i	$0.499765\pi$
$954$	4.28089	+	9.61503i	0.138599	+	0.311298i
$955$	−20.3142	−	18.2910i	−0.657353	−	0.591883i
$956$	−43.4488	+	25.0852i	−1.40523	+	0.811313i
$957$		0			0
$958$		−	2.89905i		−	0.0936640i
$959$	10.3979	+	40.9639i	0.335766	+	1.32279i
$960$	7.31190	+	5.31240i	0.235990	+	0.171457i
$961$	6.04208	+	57.4866i	0.194906	+	1.85441i
$962$	−1.23782	−	5.82347i	−0.0399088	−	0.187756i
$963$	4.60012	+	21.6419i	0.148237	+	0.697399i
$964$	1.27155	+	12.0980i	0.0409539	+	0.389650i
$965$	−14.3635	−	10.4357i	−0.462378	−	0.335937i
$966$	2.62842	−	2.55984i	0.0845681	−	0.0823615i
$967$			39.0758i			1.25659i	0.777974	+	0.628297i	$0.216248\pi$
$967$			39.0758i			1.25659i	−0.777974	+	0.628297i	$0.783752\pi$
$968$		0			0
$969$	7.52500	−	4.34456i	0.241738	−	0.139567i
$970$	−3.18698	−	2.86957i	−0.102328	−	0.0921362i
$971$	−4.22808	−	9.49643i	−0.135686	−	0.304755i	0.832905	−	0.553416i	$-0.186676\pi$
$971$	−4.22808	−	9.49643i	−0.135686	−	0.304755i	−0.968591	+	0.248661i	$0.920009\pi$
$972$	−18.6956	−	25.7323i	−0.599662	−	0.825364i
$973$	14.5565	+	18.4697i	0.466660	+	0.592111i
$974$	0.451207	+	0.146606i	0.0144576	+	0.00469756i
$975$	33.7009	−	3.54211i	1.07929	−	0.113438i
$976$	1.66146	−	15.8078i	0.0531822	−	0.505994i
$977$	31.1755	−	34.6239i	0.997391	−	1.10772i	0.00321023	−	0.999995i	$-0.498978\pi$
$977$	31.1755	−	34.6239i	0.997391	−	1.10772i	0.994181	−	0.107721i	$-0.0343552\pi$
$978$	−4.01567	+	6.95535i	−0.128407	+	0.222407i
$979$		0			0
$980$	−15.4026	+	6.37535i	−0.492018	+	0.203653i
$981$	−2.40463	+	0.781312i	−0.0767740	+	0.0249454i
$982$	−9.76126	+	4.34599i	−0.311494	+	0.138686i
$983$	−1.99566	+	4.48232i	−0.0636516	+	0.142964i	−0.942570	−	0.334008i	$-0.891599\pi$
$983$	−1.99566	+	4.48232i	−0.0636516	+	0.142964i	0.878919	+	0.476972i	$0.158266\pi$
$984$	8.57211	−	1.82206i	0.273269	−	0.0580851i
$985$	−4.57638	−	5.08258i	−0.145815	−	0.161945i
$986$	−4.76601	+	3.46271i	−0.151781	+	0.110275i
$987$	−35.2954	+	13.0160i	−1.12347	+	0.414305i
$988$	−5.85814	−	18.0295i	−0.186372	−	0.573595i
$989$	5.84661	+	3.37554i	0.185911	+	0.107336i
$990$		0			0
$991$	4.78069	+	8.28040i	0.151864	+	0.263036i	0.931913	−	0.362683i	$-0.118139\pi$
$991$	4.78069	+	8.28040i	0.151864	+	0.263036i	−0.780049	+	0.625719i	$0.784806\pi$
$992$	45.1345	+	9.59363i	1.43302	+	0.304598i
$993$	24.4899	−	33.7075i	0.777164	−	1.06967i
$994$	9.24480	−	17.5660i	0.293227	−	0.557161i
$995$	−2.28203	+	7.02336i	−0.0723452	+	0.222656i
$996$	23.7767	−	21.4086i	0.753394	−	0.678359i
$997$	−36.1817	−	16.1091i	−1.14589	−	0.510181i	−0.256141	−	0.966639i	$-0.582451\pi$
$997$	−36.1817	−	16.1091i	−1.14589	−	0.510181i	−0.889745	+	0.456458i	$0.849118\pi$
$998$	7.09140	+	0.745336i	0.224474	+	0.0235932i
$999$	−1.20304	+	5.65985i	−0.0380624	+	0.179070i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	847.2.r.d.215.3		48
7.3	odd	6	inner	847.2.r.d.94.3		48
11.2	odd	10	inner	847.2.r.d.838.3		48
11.3	even	5		847.2.i.b.362.14		48
11.4	even	5		77.2.n.a.19.3	✓	48
11.5	even	5		847.2.r.c.40.3		48
11.6	odd	10		77.2.n.a.40.4	yes	48
11.7	odd	10		847.2.r.c.481.4		48
11.8	odd	10		847.2.i.b.362.11		48
11.9	even	5		847.2.r.a.838.4		48
11.10	odd	2		847.2.r.a.215.4		48
33.17	even	10		693.2.cg.a.271.3		48
33.26	odd	10		693.2.cg.a.19.4		48
77.3	odd	30		847.2.i.b.241.11		48
77.4	even	15		539.2.s.d.129.4		48
77.6	even	10		539.2.s.d.117.4		48
77.10	even	6		847.2.r.a.94.4		48
77.17	even	30		77.2.n.a.73.3	yes	48
77.24	even	30	inner	847.2.r.d.717.3		48
77.26	odd	30		539.2.m.a.195.7		48
77.31	odd	30		847.2.r.a.717.4		48
77.37	even	15		539.2.m.a.195.8		48
77.38	odd	30		847.2.r.c.766.4		48
77.39	odd	30		539.2.s.d.227.3		48
77.48	odd	10		539.2.s.d.19.3		48
77.52	even	30		847.2.i.b.241.14		48
77.59	odd	30		77.2.n.a.52.4	yes	48
77.61	even	30		539.2.m.a.293.8		48
77.72	odd	30		539.2.m.a.293.7		48
77.73	even	30		847.2.r.c.360.3		48
231.17	odd	30		693.2.cg.a.73.4		48
231.59	even	30		693.2.cg.a.514.3		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
77.2.n.a.19.3	✓	48	11.4	even	5
77.2.n.a.40.4	yes	48	11.6	odd	10
77.2.n.a.52.4	yes	48	77.59	odd	30
77.2.n.a.73.3	yes	48	77.17	even	30
539.2.m.a.195.7		48	77.26	odd	30
539.2.m.a.195.8		48	77.37	even	15
539.2.m.a.293.7		48	77.72	odd	30
539.2.m.a.293.8		48	77.61	even	30
539.2.s.d.19.3		48	77.48	odd	10
539.2.s.d.117.4		48	77.6	even	10
539.2.s.d.129.4		48	77.4	even	15
539.2.s.d.227.3		48	77.39	odd	30
693.2.cg.a.19.4		48	33.26	odd	10
693.2.cg.a.73.4		48	231.17	odd	30
693.2.cg.a.271.3		48	33.17	even	10
693.2.cg.a.514.3		48	231.59	even	30
847.2.i.b.241.11		48	77.3	odd	30
847.2.i.b.241.14		48	77.52	even	30
847.2.i.b.362.11		48	11.8	odd	10
847.2.i.b.362.14		48	11.3	even	5
847.2.r.a.94.4		48	77.10	even	6
847.2.r.a.215.4		48	11.10	odd	2
847.2.r.a.717.4		48	77.31	odd	30
847.2.r.a.838.4		48	11.9	even	5
847.2.r.c.40.3		48	11.5	even	5
847.2.r.c.360.3		48	77.73	even	30
847.2.r.c.481.4		48	11.7	odd	10
847.2.r.c.766.4		48	77.38	odd	30
847.2.r.d.94.3		48	7.3	odd	6	inner
847.2.r.d.215.3		48	1.1	even	1	trivial
847.2.r.d.717.3		48	77.24	even	30	inner
847.2.r.d.838.3		48	11.2	odd	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 847 = 7 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	847.r (of order \(30\), degree \(8\), not minimal)

\(f(q)\)	\(=\)	\(q+(-0.0996681 + 0.468902i) q^{2} +(2.22665 + 0.234030i) q^{3} +(1.61716 + 0.720004i) q^{4} +(0.999739 - 0.900169i) q^{5} +(-0.331663 + 1.02075i) q^{6} +(0.103533 + 2.64372i) q^{7} +(-1.06233 + 1.46217i) q^{8} +(1.96875 + 0.418472i) q^{9} +O(q^{10})\)	\(q+(-0.0996681 + 0.468902i) q^{2} +(2.22665 + 0.234030i) q^{3} +(1.61716 + 0.720004i) q^{4} +(0.999739 - 0.900169i) q^{5} +(-0.331663 + 1.02075i) q^{6} +(0.103533 + 2.64372i) q^{7} +(-1.06233 + 1.46217i) q^{8} +(1.96875 + 0.418472i) q^{9} +(0.322449 + 0.558497i) q^{10} +(3.43234 + 1.98166i) q^{12} +(-1.46606 - 4.51207i) q^{13} +(-1.24997 - 0.214948i) q^{14} +(2.43673 - 1.77039i) q^{15} +(1.78925 + 1.98716i) q^{16} +(1.68173 - 0.357463i) q^{17} +(-0.392444 + 0.881444i) q^{18} +(2.06213 - 0.918120i) q^{19} +(2.26486 - 0.735897i) q^{20} +(-0.388179 + 5.91088i) q^{21} +(-0.646028 + 1.11895i) q^{23} +(-2.70763 + 3.00713i) q^{24} +(-0.333469 + 3.17274i) q^{25} +(2.26184 - 0.237729i) q^{26} +(-2.10221 - 0.683050i) q^{27} +(-1.73606 + 4.34986i) q^{28} +(4.20132 + 5.78262i) q^{29} +(0.587275 + 1.31904i) q^{30} +(-7.00306 - 6.30558i) q^{31} +(-4.24053 + 2.44827i) q^{32} +0.824195i q^{34} +(2.48331 + 2.54984i) q^{35} +(2.88248 + 2.09424i) q^{36} +(-0.273631 - 2.60342i) q^{37} +(0.224979 + 1.05844i) q^{38} +(-2.20844 - 10.3899i) q^{39} +(0.254149 + 2.41807i) q^{40} +(-1.75211 - 1.27298i) q^{41} +(-2.73293 - 0.771144i) q^{42} -5.22507i q^{43} +(2.34493 - 1.35385i) q^{45} +(-0.460290 - 0.414447i) q^{46} +(2.58305 + 5.80163i) q^{47} +(3.51898 + 4.84346i) q^{48} +(-6.97856 + 0.547428i) q^{49} +(-1.45447 - 0.472585i) q^{50} +(3.82829 - 0.402369i) q^{51} +(0.877862 - 8.35230i) q^{52} +(7.29906 - 8.10643i) q^{53} +(0.529807 - 0.917653i) q^{54} +(-3.97557 - 2.65713i) q^{56} +(4.80651 - 1.56173i) q^{57} +(-3.13022 + 1.39366i) q^{58} +(2.38785 - 5.36320i) q^{59} +(5.21527 - 1.10854i) q^{60} +(-3.97747 - 4.41743i) q^{61} +(3.65468 - 2.65528i) q^{62} +(-0.902492 + 5.24817i) q^{63} +(0.927266 + 2.85383i) q^{64} +(-5.52731 - 3.19119i) q^{65} +(-0.828067 - 1.43425i) q^{67} +(2.97700 + 0.632781i) q^{68} +(-1.70035 + 2.34032i) q^{69} +(-1.44313 + 0.910289i) q^{70} +(-4.83639 + 14.8849i) q^{71} +(-2.70335 + 2.43411i) q^{72} +(-7.90013 - 3.51737i) q^{73} +(1.24802 + 0.131172i) q^{74} +(-1.48504 + 6.98654i) q^{75} +3.99584 q^{76} +5.09196 q^{78} +(0.927266 - 4.36244i) q^{79} +(3.57757 + 0.376017i) q^{80} +(-10.0372 - 4.46886i) q^{81} +(0.771534 - 0.694692i) q^{82} +(2.49460 - 7.67760i) q^{83} +(-4.88360 + 9.27932i) q^{84} +(1.35952 - 1.87121i) q^{85} +(2.45005 + 0.520773i) q^{86} +(8.00156 + 13.8591i) q^{87} +(-2.96156 - 1.70986i) q^{89} +(0.401107 + 1.23448i) q^{90} +(11.7769 - 4.34301i) q^{91} +(-1.85038 + 1.34438i) q^{92} +(-14.1177 - 15.6792i) q^{93} +(-2.97784 + 0.632960i) q^{94} +(1.23513 - 2.77415i) q^{95} +(-10.0152 + 4.45903i) q^{96} +(-6.32443 + 2.05493i) q^{97} +(0.438850 - 3.32682i) q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 5 q^{2} + 6 q^{3} + q^{4} + 15 q^{5} - 10 q^{7} + 10 q^{8} + 4 q^{9}+O(q^{10}) \) 48 * q + 5 * q^2 + 6 * q^3 + q^4 + 15 * q^5 - 10 * q^7 + 10 * q^8 + 4 * q^9	\( 48 q + 5 q^{2} + 6 q^{3} + q^{4} + 15 q^{5} - 10 q^{7} + 10 q^{8} + 4 q^{9} - 12 q^{12} - 8 q^{14} - 10 q^{15} + 23 q^{16} - 5 q^{18} - 30 q^{19} + 10 q^{23} - 60 q^{24} + 11 q^{25} + 12 q^{26} + 60 q^{28} + 20 q^{29} - 30 q^{30} - 6 q^{31} - 45 q^{35} + 2 q^{36} + 19 q^{37} + 18 q^{38} + 10 q^{39} + 75 q^{40} - 86 q^{42} - 84 q^{45} + 10 q^{46} + 3 q^{47} - 36 q^{49} - 10 q^{50} - 20 q^{51} + 60 q^{52} - 3 q^{53} - 8 q^{56} - 10 q^{57} - 9 q^{58} - 63 q^{59} + 5 q^{60} - 90 q^{61} + 70 q^{63} - 18 q^{64} + 44 q^{67} + 165 q^{68} + 8 q^{70} + 30 q^{71} - 50 q^{72} + 60 q^{74} + 78 q^{75} + 92 q^{78} + 70 q^{79} + 30 q^{80} + 31 q^{81} + 96 q^{82} - 65 q^{84} + 80 q^{85} + 73 q^{86} + 6 q^{89} - 17 q^{91} - 70 q^{92} + 58 q^{93} + 90 q^{94} + 50 q^{95} - 150 q^{96}+O(q^{100}) \) 48 * q + 5 * q^2 + 6 * q^3 + q^4 + 15 * q^5 - 10 * q^7 + 10 * q^8 + 4 * q^9 - 12 * q^12 - 8 * q^14 - 10 * q^15 + 23 * q^16 - 5 * q^18 - 30 * q^19 + 10 * q^23 - 60 * q^24 + 11 * q^25 + 12 * q^26 + 60 * q^28 + 20 * q^29 - 30 * q^30 - 6 * q^31 - 45 * q^35 + 2 * q^36 + 19 * q^37 + 18 * q^38 + 10 * q^39 + 75 * q^40 - 86 * q^42 - 84 * q^45 + 10 * q^46 + 3 * q^47 - 36 * q^49 - 10 * q^50 - 20 * q^51 + 60 * q^52 - 3 * q^53 - 8 * q^56 - 10 * q^57 - 9 * q^58 - 63 * q^59 + 5 * q^60 - 90 * q^61 + 70 * q^63 - 18 * q^64 + 44 * q^67 + 165 * q^68 + 8 * q^70 + 30 * q^71 - 50 * q^72 + 60 * q^74 + 78 * q^75 + 92 * q^78 + 70 * q^79 + 30 * q^80 + 31 * q^81 + 96 * q^82 - 65 * q^84 + 80 * q^85 + 73 * q^86 + 6 * q^89 - 17 * q^91 - 70 * q^92 + 58 * q^93 + 90 * q^94 + 50 * q^95 - 150 * q^96

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