LMFDB - Embedded newform 731.2.p.a.594.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [731,2,Mod(16,731)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(731, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 8]))

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

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

chi := DirichletCharacter("731.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 731 = 17 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	731.p (of order $14$, degree $6$, 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:	$5.83706438776$
Analytic rank:	$0$
Dimension:	$384$
Relative dimension:	$64$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			594.1
Character	$\chi$	$=$	731.594
Dual form			731.2.p.a.16.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.608972 + 2.66808i) q^{2} +(-0.149961 + 0.0342275i) q^{3} +(-4.94587 - 2.38180i) q^{4} +(-1.75767 - 1.40169i) q^{5} -0.420950i q^{6} +1.31934i q^{7} +(5.95414 - 7.46625i) q^{8} +(-2.68159 + 1.29139i) q^{9} +O(q^{10})$	\(q+(-0.608972 + 2.66808i) q^{2} +(-0.149961 + 0.0342275i) q^{3} +(-4.94587 - 2.38180i) q^{4} +(-1.75767 - 1.40169i) q^{5} -0.420950i q^{6} +1.31934i q^{7} +(5.95414 - 7.46625i) q^{8} +(-2.68159 + 1.29139i) q^{9} +(4.81020 - 3.83601i) q^{10} +(-2.12009 - 4.40240i) q^{11} +(0.823208 + 0.187892i) q^{12} +(-2.22859 + 2.79457i) q^{13} +(-3.52009 - 0.803438i) q^{14} +(0.311558 + 0.150038i) q^{15} +(9.44936 + 11.8491i) q^{16} +(2.79006 - 3.03571i) q^{17} +(-1.81251 - 7.94111i) q^{18} +(5.01431 + 2.41476i) q^{19} +(5.35464 + 11.1190i) q^{20} +(-0.0451576 - 0.197848i) q^{21} +(13.0370 - 2.97562i) q^{22} +(3.11298 + 6.46417i) q^{23} +(-0.637334 + 1.32344i) q^{24} +(0.0120493 + 0.0527913i) q^{25} +(-6.09898 - 7.64788i) q^{26} +(0.718709 - 0.573151i) q^{27} +(3.14240 - 6.52526i) q^{28} +(8.59061 + 1.96075i) q^{29} +(-0.590044 + 0.739892i) q^{30} +(0.464690 + 0.106062i) q^{31} +(-20.1609 + 9.70896i) q^{32} +(0.468613 + 0.587622i) q^{33} +(6.40045 + 9.29278i) q^{34} +(1.84931 - 2.31896i) q^{35} +16.3386 q^{36} -8.56761i q^{37} +(-9.49636 + 11.9081i) q^{38} +(0.238550 - 0.495354i) q^{39} +(-20.9308 + 4.77732i) q^{40} +(2.28890 + 0.522427i) q^{41} +0.555375 q^{42} +(-6.36919 - 1.55996i) q^{43} +26.8233i q^{44} +(6.52348 + 1.48894i) q^{45} +(-19.1427 + 4.36919i) q^{46} +(2.59962 + 1.25191i) q^{47} +(-1.82260 - 1.45347i) q^{48} +5.25935 q^{49} -0.148189 q^{50} +(-0.314495 + 0.550734i) q^{51} +(17.6785 - 8.51349i) q^{52} +(-1.32518 - 1.66172i) q^{53} +(1.09154 + 2.26661i) q^{54} +(-2.44442 + 10.7097i) q^{55} +(9.85049 + 7.85551i) q^{56} +(-0.834600 - 0.190492i) q^{57} +(-10.4629 + 21.7264i) q^{58} +(-1.20607 - 1.51237i) q^{59} +(-1.18356 - 1.48414i) q^{60} +(3.87025 - 0.883358i) q^{61} +(-0.565966 + 1.17524i) q^{62} +(-1.70377 - 3.53792i) q^{63} +(-6.88201 - 30.1521i) q^{64} +(7.83426 - 1.78812i) q^{65} +(-1.85319 + 0.892451i) q^{66} +(2.25150 + 1.08427i) q^{67} +(-21.0298 + 8.36883i) q^{68} +(-0.688077 - 0.862821i) q^{69} +(5.06099 + 6.34628i) q^{70} +(4.57165 - 9.49312i) q^{71} +(-6.32474 + 27.7105i) q^{72} +(-9.89322 - 7.88958i) q^{73} +(22.8591 + 5.21743i) q^{74} +(-0.00361383 - 0.00750419i) q^{75} +(-19.0486 - 23.8862i) q^{76} +(5.80825 - 2.79711i) q^{77} +(1.17637 + 0.938128i) q^{78} -5.49483i q^{79} -34.0720i q^{80} +(5.47899 - 6.87044i) q^{81} +(-2.78775 + 5.78883i) q^{82} +(-3.24809 - 14.2308i) q^{83} +(-0.247893 + 1.08609i) q^{84} +(-9.15915 + 1.42496i) q^{85} +(8.04074 - 16.0435i) q^{86} -1.35536 q^{87} +(-45.4927 - 10.3834i) q^{88} +(0.512165 + 2.24394i) q^{89} +(-7.94523 + 16.4984i) q^{90} +(-3.68698 - 2.94026i) q^{91} -39.3855i q^{92} -0.0733154 q^{93} +(-4.92329 + 6.17361i) q^{94} +(-5.42874 - 11.2729i) q^{95} +(2.69102 - 2.14602i) q^{96} +(4.23082 + 8.78538i) q^{97} +(-3.20280 + 14.0324i) q^{98} +(11.3704 + 9.06759i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 384 q - 12 q^{2} - 72 q^{4} - 8 q^{8} + 62 q^{9}+O(q^{10}) $ 384 * q - 12 * q^2 - 72 * q^4 - 8 * q^8 + 62 * q^9	$ 384 q - 12 q^{2} - 72 q^{4} - 8 q^{8} + 62 q^{9} - 18 q^{13} - 12 q^{15} - 20 q^{16} - 14 q^{17} + 30 q^{18} + 8 q^{19} + 20 q^{21} + 46 q^{25} + 2 q^{26} - 30 q^{30} + 50 q^{32} - 90 q^{33} + 8 q^{34} + 52 q^{35} - 328 q^{36} - 46 q^{38} + 184 q^{42} + 60 q^{43} - 2 q^{47} - 340 q^{49} - 172 q^{50} - 68 q^{51} + 38 q^{52} - 8 q^{53} - 28 q^{55} + 10 q^{59} + 58 q^{60} - 44 q^{64} + 90 q^{66} - 104 q^{67} + 60 q^{68} - 2 q^{69} + 40 q^{70} - 164 q^{72} - 72 q^{76} + 94 q^{77} + 120 q^{81} - 66 q^{83} + 112 q^{84} - 96 q^{85} - 136 q^{86} + 72 q^{87} - 6 q^{89} - 220 q^{93} - 142 q^{94} + 124 q^{98}+O(q^{100}) $ 384 * q - 12 * q^2 - 72 * q^4 - 8 * q^8 + 62 * q^9 - 18 * q^13 - 12 * q^15 - 20 * q^16 - 14 * q^17 + 30 * q^18 + 8 * q^19 + 20 * q^21 + 46 * q^25 + 2 * q^26 - 30 * q^30 + 50 * q^32 - 90 * q^33 + 8 * q^34 + 52 * q^35 - 328 * q^36 - 46 * q^38 + 184 * q^42 + 60 * q^43 - 2 * q^47 - 340 * q^49 - 172 * q^50 - 68 * q^51 + 38 * q^52 - 8 * q^53 - 28 * q^55 + 10 * q^59 + 58 * q^60 - 44 * q^64 + 90 * q^66 - 104 * q^67 + 60 * q^68 - 2 * q^69 + 40 * q^70 - 164 * q^72 - 72 * q^76 + 94 * q^77 + 120 * q^81 - 66 * q^83 + 112 * q^84 - 96 * q^85 - 136 * q^86 + 72 * q^87 - 6 * q^89 - 220 * q^93 - 142 * q^94 + 124 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$-1$	$e\left(\frac{3}{7}\right)$

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 $

$2$	−0.608972	+	2.66808i	−0.430608	+	1.88662i	0.0309740	+	0.999520i	$0.490139\pi$
$2$	−0.608972	+	2.66808i	−0.430608	+	1.88662i	−0.461582	+	0.887097i	$0.652718\pi$
$3$	−0.149961	+	0.0342275i	−0.0865798	+	0.0197613i	−0.265591	−	0.964086i	$-0.585567\pi$
$3$	−0.149961	+	0.0342275i	−0.0865798	+	0.0197613i	0.179012	+	0.983847i	$0.442710\pi$
$4$	−4.94587	−	2.38180i	−2.47293	−	1.19090i
$5$	−1.75767	−	1.40169i	−0.786054	−	0.626857i	0.145956	−	0.989291i	$-0.453374\pi$
$5$	−1.75767	−	1.40169i	−0.786054	−	0.626857i	−0.932009	+	0.362434i	$0.881946\pi$
$6$		−	0.420950i		−	0.171852i
$7$			1.31934i			0.498662i	0.968418	+	0.249331i	$0.0802107\pi$
$7$			1.31934i			0.498662i	−0.968418	+	0.249331i	$0.919789\pi$
$8$	5.95414	−	7.46625i	2.10511	−	2.63972i
$9$	−2.68159	+	1.29139i	−0.893863	+	0.430462i
$10$	4.81020	−	3.83601i	1.52112	−	1.21305i
$11$	−2.12009	−	4.40240i	−0.639230	−	1.32737i	−0.928929	−	0.370257i	$-0.879270\pi$
$11$	−2.12009	−	4.40240i	−0.639230	−	1.32737i	0.289699	−	0.957118i	$-0.406445\pi$
$12$	0.823208	+	0.187892i	0.237640	+	0.0542397i
$13$	−2.22859	+	2.79457i	−0.618101	+	0.775074i	−0.988076	−	0.153968i	$-0.950795\pi$
$13$	−2.22859	+	2.79457i	−0.618101	+	0.775074i	0.369975	+	0.929042i	$0.379366\pi$
$14$	−3.52009	−	0.803438i	−0.940785	−	0.214728i
$15$	0.311558	+	0.150038i	0.0804438	+	0.0387397i
$16$	9.44936	+	11.8491i	2.36234	+	2.96228i
$17$	2.79006	−	3.03571i	0.676690	−	0.736268i
$17$	2.79006	−	3.03571i	0.676690	−	0.736268i
$18$	−1.81251	−	7.94111i	−0.427212	−	1.87174i
$19$	5.01431	+	2.41476i	1.15036	+	0.553985i	0.909142	−	0.416486i	$-0.136738\pi$
$19$	5.01431	+	2.41476i	1.15036	+	0.553985i	0.241220	+	0.970471i	$0.422453\pi$
$20$	5.35464	+	11.1190i	1.19733	+	2.48629i
$21$	−0.0451576	−	0.197848i	−0.00985419	−	0.0431740i
$22$	13.0370	−	2.97562i	2.77951	−	0.634404i
$23$	3.11298	+	6.46417i	0.649102	+	1.34787i	0.922509	+	0.385975i	$0.126135\pi$
$23$	3.11298	+	6.46417i	0.649102	+	1.34787i	−0.273408	+	0.961898i	$0.588151\pi$
$24$	−0.637334	+	1.32344i	−0.130095	+	0.270146i
$25$	0.0120493	+	0.0527913i	0.00240985	+	0.0105583i
$26$	−6.09898	−	7.64788i	−1.19611	−	1.49987i
$27$	0.718709	−	0.573151i	0.138316	−	0.110303i
$28$	3.14240	−	6.52526i	0.593858	−	1.23316i
$29$	8.59061	+	1.96075i	1.59524	+	0.364102i	0.925575	−	0.378564i	$-0.123582\pi$
$29$	8.59061	+	1.96075i	1.59524	+	0.364102i	0.669662	+	0.742666i	$0.266439\pi$
$30$	−0.590044	+	0.739892i	−0.107727	+	0.135085i
$31$	0.464690	+	0.106062i	0.0834608	+	0.0190494i	0.264047	−	0.964510i	$-0.414942\pi$
$31$	0.464690	+	0.106062i	0.0834608	+	0.0190494i	−0.180587	+	0.983559i	$0.557800\pi$
$32$	−20.1609	+	9.70896i	−3.56397	+	1.71632i
$33$	0.468613	+	0.587622i	0.0815750	+	0.102292i
$34$	6.40045	+	9.29278i	1.09767	+	1.59370i
$35$	1.84931	−	2.31896i	0.312590	−	0.391975i
$36$	16.3386			2.72310
$37$		−	8.56761i		−	1.40851i	−0.709949	−	0.704253i	$-0.751282\pi$
$37$		−	8.56761i		−	1.40851i	0.709949	−	0.704253i	$-0.248718\pi$
$38$	−9.49636	+	11.9081i	−1.54051	+	1.93174i
$39$	0.238550	−	0.495354i	0.0381986	−	0.0793202i
$40$	−20.9308	+	4.77732i	−3.30945	+	0.755361i
$41$	2.28890	+	0.522427i	0.357466	+	0.0815893i	0.397483	−	0.917610i	$-0.369884\pi$
$41$	2.28890	+	0.522427i	0.357466	+	0.0815893i	−0.0400165	+	0.999199i	$0.512741\pi$
$42$	0.555375			0.0856962
$43$	−6.36919	−	1.55996i	−0.971292	−	0.237891i
$43$	−6.36919	−	1.55996i	−0.971292	−	0.237891i
$44$			26.8233i			4.04377i
$45$	6.52348	+	1.48894i	0.972462	+	0.221958i
$46$	−19.1427	+	4.36919i	−2.82243	+	0.644201i
$47$	2.59962	+	1.25191i	0.379193	+	0.182610i	0.613765	−	0.789489i	$-0.289654\pi$
$47$	2.59962	+	1.25191i	0.379193	+	0.182610i	−0.234571	+	0.972099i	$0.575369\pi$
$48$	−1.82260	−	1.45347i	−0.263069	−	0.209791i
$49$	5.25935			0.751336
$50$	−0.148189			−0.0209571
$51$	−0.314495	+	0.550734i	−0.0440381	+	0.0771181i
$52$	17.6785	−	8.51349i	2.45156	−	1.18061i
$53$	−1.32518	−	1.66172i	−0.182027	−	0.228255i	0.682443	−	0.730939i	$-0.260917\pi$
$53$	−1.32518	−	1.66172i	−0.182027	−	0.228255i	−0.864470	+	0.502684i	$0.832346\pi$
$54$	1.09154	+	2.26661i	0.148540	+	0.308446i
$55$	−2.44442	+	10.7097i	−0.329605	+	1.44409i
$56$	9.85049	+	7.85551i	1.31633	+	1.04974i
$57$	−0.834600	−	0.190492i	−0.110545	−	0.0252313i
$58$	−10.4629	+	21.7264i	−1.37384	+	2.85282i
$59$	−1.20607	−	1.51237i	−0.157018	−	0.196894i	0.697100	−	0.716974i	$-0.254473\pi$
$59$	−1.20607	−	1.51237i	−0.157018	−	0.196894i	−0.854117	+	0.520080i	$0.825902\pi$
$60$	−1.18356	−	1.48414i	−0.152797	−	0.191601i
$61$	3.87025	−	0.883358i	0.495534	−	0.113102i	0.0325520	−	0.999470i	$-0.489637\pi$
$61$	3.87025	−	0.883358i	0.495534	−	0.113102i	0.462982	+	0.886368i	$0.346779\pi$
$62$	−0.565966	+	1.17524i	−0.0718778	+	0.149256i
$63$	−1.70377	−	3.53792i	−0.214655	−	0.445736i
$64$	−6.88201	−	30.1521i	−0.860251	−	3.76901i
$65$	7.83426	−	1.78812i	0.971721	−	0.221789i
$66$	−1.85319	+	0.892451i	−0.228112	+	0.109853i
$67$	2.25150	+	1.08427i	0.275065	+	0.132464i	0.566331	−	0.824178i	$-0.308362\pi$
$67$	2.25150	+	1.08427i	0.275065	+	0.132464i	−0.291266	+	0.956642i	$0.594077\pi$
$68$	−21.0298	+	8.36883i	−2.55023	+	1.01487i
$69$	−0.688077	−	0.862821i	−0.0828347	−	0.103871i
$70$	5.06099	+	6.34628i	0.604903	+	0.758525i
$71$	4.57165	−	9.49312i	0.542555	−	1.12663i	−0.431875	−	0.901934i	$-0.642148\pi$
$71$	4.57165	−	9.49312i	0.542555	−	1.12663i	0.974430	−	0.224693i	$-0.0721379\pi$
$72$	−6.32474	+	27.7105i	−0.745378	+	3.26572i
$73$	−9.89322	−	7.88958i	−1.15791	−	0.923406i	−0.159946	−	0.987126i	$-0.551132\pi$
$73$	−9.89322	−	7.88958i	−1.15791	−	0.923406i	−0.997968	+	0.0637199i	$0.979704\pi$
$74$	22.8591	+	5.21743i	2.65731	+	0.606514i
$75$	−0.00361383	−	0.00750419i	−0.000417289	−	0.000866509i
$76$	−19.0486	−	23.8862i	−2.18503	−	2.73994i
$77$	5.80825	−	2.79711i	0.661911	−	0.318760i
$78$	1.17637	+	0.938128i	0.133198	+	0.106222i
$79$		−	5.49483i		−	0.618217i	−0.951027	−	0.309108i	$-0.899969\pi$
$79$		−	5.49483i		−	0.618217i	0.951027	−	0.309108i	$-0.100031\pi$
$80$		−	34.0720i		−	3.80936i
$81$	5.47899	−	6.87044i	0.608777	−	0.763382i
$82$	−2.78775	+	5.78883i	−0.307856	+	0.639269i
$83$	−3.24809	−	14.2308i	−0.356524	−	1.56204i	−0.761782	−	0.647833i	$-0.775675\pi$
$83$	−3.24809	−	14.2308i	−0.356524	−	1.56204i	0.405258	−	0.914202i	$-0.367182\pi$
$84$	−0.247893	+	1.08609i	−0.0270473	+	0.118502i
$85$	−9.15915	+	1.42496i	−0.993449	+	0.154558i
$86$	8.04074	−	16.0435i	0.867055	−	1.73002i
$87$	−1.35536			−0.145310
$88$	−45.4927	−	10.3834i	−4.84954	−	1.10688i
$89$	0.512165	+	2.24394i	0.0542894	+	0.237857i	0.994792	−	0.101930i	$-0.0325019\pi$
$89$	0.512165	+	2.24394i	0.0542894	+	0.237857i	−0.940502	+	0.339788i	$0.889645\pi$
$90$	−7.94523	+	16.4984i	−0.837501	+	1.73909i
$91$	−3.68698	−	2.94026i	−0.386500	−	0.308223i
$92$		−	39.3855i		−	4.10622i
$93$	−0.0733154			−0.00760246
$94$	−4.92329	+	6.17361i	−0.507799	+	0.636760i
$95$	−5.42874	−	11.2729i	−0.556977	−	1.15657i
$96$	2.69102	−	2.14602i	0.274651	−	0.219027i
$97$	4.23082	+	8.78538i	0.429574	+	0.892020i	0.997615	+	0.0690198i	$0.0219872\pi$
$97$	4.23082	+	8.78538i	0.429574	+	0.892020i	−0.568041	+	0.823000i	$0.692299\pi$
$98$	−3.20280	+	14.0324i	−0.323531	+	1.41748i
$99$	11.3704	+	9.06759i	1.14277	+	0.911327i
$100$	0.0661444	−	0.289798i	0.00661444	−	0.0289798i
$101$	12.0996	+	5.82684i	1.20395	+	0.579792i	0.924799	−	0.380455i	$-0.124233\pi$
$101$	12.0996	+	5.82684i	1.20395	+	0.579792i	0.279151	+	0.960247i	$0.409947\pi$
$102$	−1.27788	−	1.17448i	−0.126529	−	0.116291i
$103$	7.48600	+	9.38714i	0.737617	+	0.924943i	0.999190	−	0.0402409i	$-0.0128125\pi$
$103$	7.48600	+	9.38714i	0.737617	+	0.924943i	−0.261573	+	0.965184i	$0.584241\pi$
$104$	7.59560	+	33.2785i	0.744810	+	3.26323i
$105$	−0.197951	+	0.411049i	−0.0193180	+	0.0401143i
$106$	5.24060	−	2.52374i	0.509012	−	0.245127i
$107$	8.53846	−	1.94885i	0.825444	−	0.188402i	0.211124	−	0.977459i	$-0.432288\pi$
$107$	8.53846	−	1.94885i	0.825444	−	0.188402i	0.614320	+	0.789057i	$0.289430\pi$
$108$	−4.91977	+	1.12291i	−0.473405	+	0.108052i
$109$	−3.99208	−	8.28964i	−0.382372	−	0.794004i	−0.999972	−	0.00751114i	$-0.997609\pi$
$109$	−3.99208	−	8.28964i	−0.382372	−	0.794004i	0.617600	−	0.786493i	$-0.288105\pi$
$110$	−27.0857	−	13.0438i	−2.58252	−	1.24368i
$111$	0.293248	+	1.28480i	0.0278339	+	0.121948i
$112$	−15.6330	+	12.4669i	−1.47718	+	1.17801i
$113$	0.571676	−	0.455896i	0.0537787	−	0.0428871i	−0.596232	−	0.802812i	$-0.703336\pi$
$113$	0.571676	−	0.455896i	0.0537787	−	0.0428871i	0.650010	+	0.759925i	$0.274765\pi$
$114$	1.01650	−	2.11078i	0.0952036	−	0.197692i
$115$	3.58920	−	15.7253i	0.334695	−	1.46639i
$116$	−37.8179	−	30.1588i	−3.51131	−	2.80017i
$117$	2.36731	−	10.3719i	0.218858	−	0.958879i
$118$	4.76959	−	2.29691i	0.439076	−	0.211448i
$119$	4.00512	+	3.68103i	0.367149	+	0.337440i
$120$	2.97528	−	1.43282i	0.271605	−	0.130798i
$121$	−8.02801	+	10.0668i	−0.729819	+	0.915164i
$122$			10.8641i			0.983586i
$123$	−0.361126			−0.0325616
$124$	−2.04568	−	1.63137i	−0.183707	−	0.146502i
$125$	−4.82435	+	10.0179i	−0.431503	+	0.896024i
$126$	10.4770	−	2.39131i	0.933365	−	0.213034i
$127$	−3.51412	+	15.3964i	−0.311828	+	1.36621i	0.539682	+	0.841869i	$0.318545\pi$
$127$	−3.51412	+	15.3964i	−0.311828	+	1.36621i	−0.851510	+	0.524339i	$0.824313\pi$
$128$	39.8853			3.52540
$129$	1.00852	+	0.0159303i	0.0887952	+	0.00140258i
$130$			21.9914i			1.92877i
$131$	11.2846	+	2.57563i	0.985937	+	0.225034i	0.684947	−	0.728593i	$-0.259826\pi$
$131$	11.2846	+	2.57563i	0.985937	+	0.225034i	0.300991	+	0.953627i	$0.402683\pi$
$132$	−0.918096	−	4.02244i	−0.0799100	−	0.350109i
$133$	−3.18589	+	6.61556i	−0.276251	+	0.573642i
$134$	−4.26402	+	5.34691i	−0.368355	+	0.461902i
$135$	−2.06664			−0.177868
$136$	−6.05295	−	38.9064i	−0.519036	−	3.33619i
$137$	5.27234	−	6.61131i	0.450446	−	0.564842i	−0.503816	−	0.863811i	$-0.668071\pi$
$137$	5.27234	−	6.61131i	0.450446	−	0.564842i	0.954263	+	0.298969i	$0.0966426\pi$
$138$	2.72110	−	1.31041i	0.231635	−	0.111550i
$139$	−2.61212	+	2.08309i	−0.221557	+	0.176686i	−0.727978	−	0.685601i	$-0.759540\pi$
$139$	−2.61212	+	2.08309i	−0.221557	+	0.176686i	0.506421	+	0.862286i	$0.330968\pi$
$140$	−14.6697	+	7.06457i	−1.23982	+	0.597065i
$141$	−0.432690	−	0.0987587i	−0.0364391	−	0.00831698i
$142$	22.5444	+	17.9786i	1.89189	+	1.50873i
$143$	17.0276	+	3.88645i	1.42392	+	0.325001i
$144$	−40.6411	−	19.5717i	−3.38676	−	1.63098i
$145$	−12.3511	−	15.4878i	−1.02570	−	1.28619i
$146$	27.0747	−	21.5914i	2.24072	−	1.78692i
$147$	−0.788695	+	0.180015i	−0.0650505	+	0.0148474i
$148$	−20.4064	+	42.3743i	−1.67739	+	3.48314i
$149$	4.50492	−	2.16946i	0.369057	−	0.177729i	−0.240157	−	0.970734i	$-0.577199\pi$
$149$	4.50492	−	2.16946i	0.369057	−	0.177729i	0.609215	+	0.793005i	$0.291485\pi$
$150$	0.0222225	−	0.00507214i	0.00181446	−	0.000414138i
$151$	3.15427	+	13.8198i	0.256691	+	1.12464i	0.924764	+	0.380541i	$0.124262\pi$
$151$	3.15427	+	13.8198i	0.256691	+	1.12464i	−0.668073	+	0.744095i	$0.732881\pi$
$152$	47.8851	−	23.0603i	3.88400	−	1.87043i
$153$	−3.56154	+	11.7436i	−0.287933	+	0.949412i
$154$	3.92584	+	17.2002i	0.316353	+	1.38603i
$155$	−0.668104	−	0.837776i	−0.0536634	−	0.0672918i
$156$	−2.35967	+	1.88178i	−0.188925	+	0.150663i
$157$	−10.5715	−	5.09096i	−0.843697	−	0.406303i	−0.0384631	−	0.999260i	$-0.512246\pi$
$157$	−10.5715	−	5.09096i	−0.843697	−	0.406303i	−0.805234	+	0.592957i	$0.797960\pi$
$158$	14.6606	+	3.34620i	1.16634	+	0.266209i
$159$	0.255601	+	0.203835i	0.0202705	+	0.0161652i
$160$	49.0451	+	11.1942i	3.87736	+	0.884982i
$161$	−8.52842	+	4.10707i	−0.672133	+	0.323682i
$162$	14.9943	+	18.8023i	1.17807	+	1.47725i
$163$	−10.2325	−	21.2480i	−0.801469	−	1.66427i	−0.746130	−	0.665800i	$-0.768090\pi$
$163$	−10.2325	−	21.2480i	−0.801469	−	1.66427i	−0.0553394	−	0.998468i	$-0.517624\pi$
$164$	−10.0763	−	8.03557i	−0.786825	−	0.627472i
$165$		−	1.68970i		−	0.131543i
$166$	39.9470			3.10049
$167$	−10.7260	−	8.55367i	−0.830000	−	0.661903i	0.113404	−	0.993549i	$-0.463825\pi$
$167$	−10.7260	−	8.55367i	−0.830000	−	0.661903i	−0.943404	+	0.331646i	$0.892396\pi$
$168$	−1.74606	−	0.840858i	−0.134711	−	0.0648736i
$169$	0.0497891	+	0.218140i	0.00382993	+	0.0167800i
$170$	1.77577	−	25.3051i	0.136195	−	1.94081i
$171$	−16.5647			−1.26674
$172$	27.7856	+	22.8855i	2.11864	+	1.74500i
$173$			12.0849i			0.918796i	0.888230	+	0.459398i	$0.151935\pi$
$173$			12.0849i			0.918796i	−0.888230	+	0.459398i	$0.848065\pi$
$174$	0.825379	−	3.61622i	0.0625718	−	0.274145i
$175$	−0.0696494	+	0.0158970i	−0.00526500	+	0.00120170i
$176$	32.1312	−	66.7211i	2.42198	−	5.02929i
$177$	0.232628	+	0.185515i	0.0174854	+	0.0139441i
$178$	−6.29891			−0.472123
$179$	23.0878			1.72566			0.862830	−	0.505494i	$-0.168690\pi$
$179$	23.0878			1.72566			0.862830	+	0.505494i	$0.168690\pi$
$180$	−28.7179	−	22.9018i	−2.14050	−	1.70700i
$181$	2.98114	+	6.19039i	0.221586	+	0.460128i	0.981893	−	0.189436i	$-0.0606658\pi$
$181$	2.98114	+	6.19039i	0.221586	+	0.460128i	−0.760307	+	0.649564i	$0.774952\pi$
$182$	10.0901	−	8.04661i	0.747930	−	0.596454i
$183$	−0.550149	+	0.264938i	−0.0406682	+	0.0195848i
$184$	66.7983	+	15.2463i	4.92443	+	1.12397i
$185$	−12.0092	+	15.0590i	−0.882932	+	1.10716i
$186$	0.0446470	−	0.195611i	0.00327368	−	0.0143429i
$187$	−19.2796	−	5.84702i	−1.40986	−	0.427577i
$188$	−9.87557	−	12.3836i	−0.720250	−	0.903165i
$189$	0.756179	+	0.948218i	0.0550039	+	0.0689727i
$190$	33.3829	−	7.61944i	2.42185	−	0.552772i
$191$	8.12845	+	3.91446i	0.588154	+	0.283240i	0.704198	−	0.710004i	$-0.251307\pi$
$191$	8.12845	+	3.91446i	0.588154	+	0.283240i	−0.116044	+	0.993244i	$0.537021\pi$
$192$	2.06406	+	4.28606i	0.148961	+	0.309320i
$193$	−5.82310	+	1.32908i	−0.419156	+	0.0956695i	−0.426896	−	0.904300i	$-0.640393\pi$
$193$	−5.82310	+	1.32908i	−0.419156	+	0.0956695i	0.00774084	+	0.999970i	$0.497536\pi$
$194$	−26.0165	+	5.93811i	−1.86788	+	0.426331i
$195$	−1.11363	+	0.536295i	−0.0797485	+	0.0384049i
$196$	−26.0121	−	12.5268i	−1.85800	−	0.894768i
$197$	3.30488	−	0.754317i	0.235463	−	0.0537429i	−0.103161	−	0.994665i	$-0.532896\pi$
$197$	3.30488	−	0.754317i	0.235463	−	0.0537429i	0.338624	+	0.940922i	$0.390039\pi$
$198$	−31.1173	+	24.8152i	−2.21141	+	1.76354i
$199$	19.4904	−	15.5431i	1.38164	−	1.10182i	0.398864	−	0.917010i	$-0.369405\pi$
$199$	19.4904	−	15.5431i	1.38164	−	1.10182i	0.982774	−	0.184809i	$-0.0591668\pi$
$200$	0.465896	+	0.224364i	0.0329438	+	0.0158649i
$201$	−0.374749	−	0.0855339i	−0.0264327	−	0.00603310i
$202$	−22.9148	+	28.7342i	−1.61228	+	2.02173i
$203$	−2.58689	+	11.3339i	−0.181564	+	0.795484i
$204$	2.86719	−	1.97479i	0.200743	−	0.138263i
$205$	−3.29085	−	4.12659i	−0.229843	−	0.288214i
$206$	−29.6044	+	14.2567i	−2.06264	+	0.993314i
$207$	−16.6955	−	13.3142i	−1.16042	−	0.925401i
$208$	−54.1720			−3.75615
$209$		−	27.1945i		−	1.88108i
$210$	−0.976165	−	0.778466i	−0.0673618	−	0.0537192i
$211$	2.03077	−	4.21694i	0.139804	−	0.290306i	−0.819297	−	0.573369i	$-0.805636\pi$
$211$	2.03077	−	4.21694i	0.139804	−	0.290306i	0.959101	+	0.283063i	$0.0913504\pi$
$212$	2.59626	+	11.3750i	0.178312	+	0.781235i
$213$	−0.360641	+	1.58007i	−0.0247107	+	0.108265i
$214$			23.9681i			1.63842i
$215$	9.00834	+	11.6695i	0.614364	+	0.795856i
$216$		−	8.77868i		−	0.597314i
$217$	−0.139932	+	0.613082i	−0.00949921	+	0.0416187i
$218$	24.5485	−	5.60303i	1.66263	−	0.379485i
$219$	1.75363	+	0.844506i	0.118500	+	0.0570664i
$220$	37.5981	−	47.1466i	2.53486	−	3.17862i
$221$	2.26558	+	14.5624i	0.152399	+	0.979573i
$222$	−3.60654			−0.242055
$223$	0.501051	−	0.628298i	0.0335529	−	0.0420739i	−0.764772	−	0.644301i	$-0.777148\pi$
$223$	0.501051	−	0.628298i	0.0335529	−	0.0420739i	0.798325	+	0.602227i	$0.205720\pi$
$224$	−12.8094	−	26.5990i	−0.855863	−	1.77722i
$225$	−0.100485	−	0.126004i	−0.00669900	−	0.00840028i
$226$	0.868233	+	1.80290i	0.0577540	+	0.119927i
$227$	12.0778	+	2.75668i	0.801631	+	0.182967i	0.603661	−	0.797241i	$-0.293708\pi$
$227$	12.0778	+	2.75668i	0.801631	+	0.182967i	0.197970	+	0.980208i	$0.436565\pi$
$228$	3.67411	+	2.93000i	0.243324	+	0.194044i
$229$	2.54660	−	11.1574i	0.168284	−	0.737299i	−0.818400	−	0.574649i	$-0.805139\pi$
$229$	2.54660	−	11.1574i	0.168284	−	0.737299i	0.986684	−	0.162650i	$-0.0520043\pi$
$230$	39.7707	+	19.1526i	2.62240	+	1.26288i
$231$	−0.775270	+	0.618257i	−0.0510090	+	0.0406783i
$232$	65.7892	−	52.4651i	4.31927	−	3.44450i
$233$	−4.61763	+	1.05394i	−0.302511	+	0.0690462i	−0.371082	−	0.928600i	$-0.621013\pi$
$233$	−4.61763	+	1.05394i	−0.302511	+	0.0690462i	0.0685709	+	0.997646i	$0.478156\pi$
$234$	26.2313	+	12.6323i	1.71480	+	0.825802i
$235$	−2.81447	−	5.84432i	−0.183596	−	0.381241i
$236$	2.36292	+	10.3526i	0.153813	+	0.673898i
$237$	0.188074	+	0.824007i	0.0122167	+	0.0535250i
$238$	−12.2603	+	8.44434i	−0.794717	+	0.547365i
$239$	20.9134	+	10.0714i	1.35278	+	0.651463i	0.963014	−	0.269453i	$-0.0868427\pi$
$239$	20.9134	+	10.0714i	1.35278	+	0.651463i	0.389763	+	0.920915i	$0.372557\pi$
$240$	1.16620	+	5.10945i	0.0752778	+	0.329814i
$241$	−12.7266	+	10.1491i	−0.819791	+	0.653762i	−0.940827	−	0.338886i	$-0.889950\pi$
$241$	−12.7266	+	10.1491i	−0.819791	+	0.653762i	0.121036	+	0.992648i	$0.461378\pi$
$242$	−21.9702	−	27.5498i	−1.41230	−	1.77097i
$243$	−1.78303	+	3.70251i	−0.114382	+	0.237516i
$244$	−21.2457	−	4.84919i	−1.36012	−	0.310438i
$245$	−9.24420	−	7.37201i	−0.590590	−	0.470980i
$246$	0.219916	−	0.963513i	0.0140213	−	0.0614314i
$247$	−17.9231	+	8.63131i	−1.14042	+	0.549197i
$248$	3.55872	−	2.83798i	0.225979	−	0.180212i
$249$	0.974171	+	2.02289i	0.0617356	+	0.128195i
$250$	−23.7906	−	18.9723i	−1.50465	−	1.19992i
$251$	0.575152			0.0363032			0.0181516	−	0.999835i	$-0.494222\pi$
$251$	0.575152			0.0363032			0.0181516	+	0.999835i	$0.494222\pi$
$252$			21.5561i			1.35791i
$253$	21.8581	−	27.4092i	1.37421	−	1.72320i
$254$	−38.9388	−	18.7519i	−2.44324	−	1.17660i
$255$	1.32474	−	0.527182i	0.0829583	−	0.0330134i
$256$	−10.5250	+	46.1131i	−0.657813	+	2.88207i
$257$	5.92078			0.369328			0.184664	−	0.982802i	$-0.440880\pi$
$257$	5.92078			0.369328			0.184664	+	0.982802i	$0.440880\pi$
$258$	−0.656664	+	2.68111i	−0.0408821	+	0.166919i
$259$	11.3036			0.702369
$260$	−43.0062	−	9.81588i	−2.66713	−	0.608755i
$261$	−25.5686	+	5.83586i	−1.58266	+	0.361231i
$262$	−13.7440	+	28.5397i	−0.849105	+	1.76319i
$263$	−2.28681	+	2.86757i	−0.141011	+	0.176822i	−0.847322	−	0.531079i	$-0.821787\pi$
$263$	−2.28681	+	2.86757i	−0.141011	+	0.176822i	0.706311	+	0.707902i	$0.250358\pi$
$264$	7.17751			0.441745
$265$			4.77825i			0.293525i
$266$	−15.7107	−	12.5289i	−0.963287	−	0.768196i
$267$	−0.153609	−	0.318973i	−0.00940072	−	0.0195208i
$268$	−8.55313	−	10.7253i	−0.522466	−	0.655151i
$269$	−13.1163	−	27.2362i	−0.799713	−	1.66062i	−0.749612	−	0.661877i	$-0.769760\pi$
$269$	−13.1163	−	27.2362i	−0.799713	−	1.66062i	−0.0501006	−	0.998744i	$-0.515954\pi$
$270$	1.25852	−	5.51395i	0.0765913	−	0.335568i
$271$	12.4566	−	15.6200i	0.756683	−	0.948850i	−0.243094	−	0.970003i	$-0.578162\pi$
$271$	12.4566	−	15.6200i	0.756683	−	0.948850i	0.999776	+	0.0211529i	$0.00673369\pi$
$272$	62.3349	+	4.37430i	3.77961	+	0.265231i
$273$	0.653539	+	0.314728i	0.0395540	+	0.0190482i
$274$	14.4288	+	18.0931i	0.871675	+	1.09305i
$275$	0.206863	−	0.164968i	0.0124743	−	0.00994793i
$276$	1.34807	+	5.90627i	0.0811441	+	0.355515i
$277$	−4.39281	+	9.12177i	−0.263938	+	0.548074i	−0.990252	−	0.139290i	$-0.955518\pi$
$277$	−4.39281	+	9.12177i	−0.263938	+	0.548074i	0.726313	+	0.687364i	$0.241232\pi$
$278$	−3.96715	−	8.23788i	−0.237934	−	0.494075i
$279$	−1.38308	+	0.315678i	−0.0828026	+	0.0188992i
$280$	−6.30289	−	27.6148i	−0.376670	−	1.65030i
$281$	−29.4096	+	14.1629i	−1.75443	+	0.844888i	−0.778240	+	0.627967i	$0.783887\pi$
$281$	−29.4096	+	14.1629i	−1.75443	+	0.844888i	−0.976189	+	0.216921i	$0.930399\pi$
$282$	0.526992	−	1.09431i	0.0313819	−	0.0651653i
$283$	−9.27883	+	2.11783i	−0.551569	+	0.125892i	−0.489217	−	0.872162i	$-0.662717\pi$
$283$	−9.27883	+	2.11783i	−0.551569	+	0.125892i	−0.0623524	+	0.998054i	$0.519860\pi$
$284$	−45.2215	+	36.0630i	−2.68340	+	2.13994i
$285$	1.19994	+	1.50468i	0.0710783	+	0.0891293i
$286$	−20.7387	+	43.0644i	−1.22631	+	2.54645i
$287$	−0.689256	+	3.01983i	−0.0406855	+	0.178255i
$288$	41.5252	−	52.0709i	2.44689	−	3.06831i
$289$	−1.43108	−	16.9397i	−0.0841809	−	0.996450i
$290$	48.8441	−	23.5221i	2.86822	−	1.38126i
$291$	−0.935157	−	1.17265i	−0.0548199	−	0.0687419i
$292$	30.1391	+	62.5846i	1.76376	+	3.66248i
$293$	16.0866	−	20.1719i	0.939787	−	1.17846i	−0.0439847	−	0.999032i	$-0.514005\pi$
$293$	16.0866	−	20.1719i	0.939787	−	1.17846i	0.983772	−	0.179424i	$-0.0574233\pi$
$294$		−	2.21393i		−	0.129119i
$295$			4.34879i			0.253197i
$296$	−63.9679	−	51.0127i	−3.71806	−	2.96505i
$297$	−4.04697	−	1.94892i	−0.234829	−	0.113088i
$298$	3.04491	+	13.3406i	0.176387	+	0.772802i
$299$	−25.0022	−	5.70658i	−1.44591	−	0.330020i
$300$			0.0457222i			0.00263977i
$301$	2.05810	−	8.40310i	0.118627	−	0.484346i
$302$	−38.7931			−2.23229
$303$	−2.01389	−	0.459658i	−0.115695	−	0.0264067i
$304$	18.7692	+	82.2332i	1.07649	+	4.71640i
$305$	−8.04081	−	3.87225i	−0.460415	−	0.221724i
$306$	−29.1639	−	16.6540i	−1.66719	−	0.952045i
$307$	23.6515			1.34986			0.674930	−	0.737881i	$-0.264174\pi$
$307$	23.6515			1.34986			0.674930	+	0.737881i	$0.264174\pi$
$308$	−35.3890			−2.01647
$309$	−1.44390	−	1.15147i	−0.0821408	−	0.0655051i
$310$	2.64211	−	1.27237i	0.150062	−	0.0722660i
$311$	6.69657	−	5.34033i	0.379727	−	0.302823i	−0.414962	−	0.909839i	$-0.636205\pi$
$311$	6.69657	−	5.34033i	0.379727	−	0.302823i	0.794689	+	0.607016i	$0.207634\pi$
$312$	−2.27808	−	4.73048i	−0.128971	−	0.267811i
$313$	−24.6773	−	5.63244i	−1.39484	−	0.318364i	−0.541934	−	0.840421i	$-0.682308\pi$
$313$	−24.6773	−	5.63244i	−1.39484	−	0.318364i	−0.852911	+	0.522057i	$0.825165\pi$
$314$	20.0208	−	25.1053i	1.12984	−	1.41678i
$315$	−1.96441	+	8.60666i	−0.110682	+	0.484930i
$316$	−13.0876	+	27.1767i	−0.736235	+	1.52881i
$317$	3.96118	−	3.15894i	0.222482	−	0.177424i	−0.505905	−	0.862589i	$-0.668841\pi$
$317$	3.96118	−	3.15894i	0.222482	−	0.177424i	0.728388	+	0.685165i	$0.240270\pi$
$318$	−0.699501	+	0.557834i	−0.0392261	+	0.0312818i
$319$	−9.58082	−	41.9763i	−0.536423	−	2.35022i
$320$	−30.1677	+	62.6438i	−1.68642	+	3.50190i
$321$	−1.21373	+	0.584500i	−0.0677437	+	0.0326236i
$322$	−5.76442	−	25.2556i	−0.321239	−	1.40744i
$323$	21.3208	−	8.48465i	1.18632	−	0.472098i
$324$	−43.4624	+	20.9304i	−2.41458	+	1.16280i
$325$	−0.174382	−	0.0839778i	−0.00967296	−	0.00465825i
$326$	62.9225	−	14.3617i	3.48496	−	0.795419i
$327$	0.882388	+	1.10648i	0.0487962	+	0.0611885i
$328$	17.5290	−	13.9789i	0.967877	−	0.771856i
$329$	−1.65169	+	3.42977i	−0.0910607	+	0.189089i
$330$	4.50824	+	1.02898i	0.248171	+	0.0566433i
$331$	1.48611	−	1.86352i	0.0816839	−	0.102428i	−0.739310	−	0.673365i	$-0.764848\pi$
$331$	1.48611	−	1.86352i	0.0816839	−	0.102428i	0.820994	+	0.570936i	$0.193420\pi$
$332$	−17.8304	+	78.1201i	−0.978570	+	4.28740i
$333$	11.0641	+	22.9748i	0.606308	+	1.25901i
$334$	29.3537	−	23.4088i	1.60616	−	1.28087i
$335$	−2.43759	−	5.06171i	−0.133180	−	0.276550i
$336$	1.91762	−	2.40462i	0.104615	−	0.131183i
$337$			5.37880i			0.293002i	0.989211	+	0.146501i	$0.0468011\pi$
$337$			5.37880i			0.293002i	−0.989211	+	0.146501i	$0.953199\pi$
$338$	−0.612336			−0.0333067
$339$	−0.0701246	+	0.0879335i	−0.00380864	+	0.00477589i
$340$	48.6939	+	14.7677i	2.64080	+	0.800889i
$341$	−0.518253	−	2.27061i	−0.0280650	−	0.122961i
$342$	10.0874	−	44.1960i	0.545467	−	2.38985i
$343$			16.1742i			0.873325i
$344$	−49.5700	+	38.2658i	−2.67264	+	2.06315i
$345$			2.48103i			0.133574i
$346$	−32.2434	−	7.35935i	−1.73342	−	0.395641i
$347$	14.7824	−	3.37399i	0.793561	−	0.181125i	0.193522	−	0.981096i	$-0.438009\pi$
$347$	14.7824	−	3.37399i	0.793561	−	0.181125i	0.600039	+	0.799971i	$0.295152\pi$
$348$	6.70345	+	3.22821i	0.359343	+	0.173050i
$349$	−14.3231	+	17.9606i	−0.766700	+	0.961412i	−0.999939	−	0.0110079i	$-0.996496\pi$
$349$	−14.3231	+	17.9606i	−0.766700	+	0.961412i	0.233239	+	0.972419i	$0.425067\pi$
$350$		−	0.195511i		−	0.0104505i
$351$			3.28580i			0.175383i
$352$	85.4855	+	68.1724i	4.55639	+	3.63360i
$353$	11.9712	−	5.76504i	0.637165	−	0.306842i	−0.0872712	−	0.996185i	$-0.527815\pi$
$353$	11.9712	−	5.76504i	0.637165	−	0.306842i	0.724436	+	0.689342i	$0.242100\pi$
$354$	−0.636633	+	0.507698i	−0.0338366	+	0.0269838i
$355$	−21.3419	+	10.2777i	−1.13271	+	0.545485i
$356$	2.81153	−	12.3181i	0.149011	−	0.652859i
$357$	−0.726603	−	0.414924i	−0.0384559	−	0.0219601i
$358$	−14.0598	+	61.6000i	−0.743084	+	3.25566i
$359$	−11.4793	−	5.52816i	−0.605857	−	0.291765i	0.105695	−	0.994399i	$-0.466293\pi$
$359$	−11.4793	−	5.52816i	−0.605857	−	0.291765i	−0.711552	+	0.702633i	$0.752007\pi$
$360$	49.9585	−	39.8406i	2.63304	−	2.09978i
$361$	7.46592	+	9.36197i	0.392943	+	0.492735i
$362$	−18.3319	+	4.18413i	−0.963503	+	0.219913i
$363$	0.859322	−	1.78440i	0.0451027	−	0.0936568i
$364$	11.2322	+	23.3238i	0.588725	+	1.22250i
$365$	6.33023	+	27.7346i	0.331339	+	1.45169i
$366$	−0.371850	−	1.62918i	−0.0194369	−	0.0851587i
$367$	−9.92362	−	20.6066i	−0.518009	−	1.07566i	−0.981836	−	0.189731i	$-0.939238\pi$
$367$	−9.92362	−	20.6066i	−0.518009	−	1.07566i	0.463827	−	0.885926i	$-0.346476\pi$
$368$	−47.1791	+	97.9685i	−2.45938	+	5.10696i
$369$	−6.81255	+	1.55492i	−0.354647	+	0.0809459i
$370$	−32.8654	−	41.2120i	−1.70859	−	2.14251i
$371$	2.19237	−	1.74835i	0.113822	−	0.0907700i
$372$	0.362608	+	0.174623i	0.0188004	+	0.00905378i
$373$	−2.00480	+	8.78359i	−0.103804	+	0.454797i	0.896135	+	0.443782i	$0.146363\pi$
$373$	−2.00480	+	8.78359i	−0.103804	+	0.454797i	−0.999939	+	0.0110151i	$0.996494\pi$
$374$	27.3411	−	47.8788i	1.41377	−	2.47576i
$375$	0.380575	−	1.66741i	0.0196528	−	0.0861046i
$376$	24.8256	−	11.9554i	1.28028	−	0.616551i
$377$	−24.6245	+	19.6373i	−1.26822	+	1.01137i
$378$	−2.99041	+	1.44011i	−0.153810	+	0.0740711i
$379$	9.33579	+	7.44504i	0.479547	+	0.382426i	0.833219	−	0.552944i	$-0.186496\pi$
$379$	9.33579	+	7.44504i	0.479547	+	0.382426i	−0.353672	+	0.935370i	$0.615067\pi$
$380$			68.6844i			3.52344i
$381$		−	2.42913i		−	0.124448i
$382$	−15.3941	+	19.3036i	−0.787630	+	0.987656i
$383$	14.6546	+	7.05727i	0.748814	+	0.360610i	0.769053	−	0.639186i	$-0.220728\pi$
$383$	14.6546	+	7.05727i	0.748814	+	0.360610i	−0.0202390	+	0.999795i	$0.506443\pi$
$384$	−5.98122	+	1.36517i	−0.305228	+	0.0696663i
$385$	−14.1297	−	3.22500i	−0.720115	−	0.164361i
$386$		−	16.3459i		−	0.831983i
$387$	19.0941	−	4.04192i	0.970605	−	0.205462i
$388$		−	53.5283i		−	2.71749i
$389$	−3.67317	+	16.0932i	−0.186237	+	0.815957i	0.792341	+	0.610079i	$0.208862\pi$
$389$	−3.67317	+	16.0932i	−0.186237	+	0.815957i	−0.978578	+	0.205878i	$0.933995\pi$
$390$	−0.752710	−	3.29784i	−0.0381149	−	0.166992i
$391$	28.3088	+	8.58535i	1.43164	+	0.434180i
$392$	31.3149	−	39.2677i	1.58164	−	1.98332i
$393$	−1.78040			−0.0898092
$394$			9.27704i			0.467371i
$395$	−7.70207	+	9.65809i	−0.387533	+	0.485951i
$396$	−34.6393	−	71.9292i	−1.74069	−	3.61458i
$397$	15.2117	−	12.1309i	0.763455	−	0.608835i	−0.162395	−	0.986726i	$-0.551922\pi$
$397$	15.2117	−	12.1309i	0.763455	−	0.608835i	0.925850	+	0.377891i	$0.123351\pi$
$398$	29.6011	+	61.4673i	1.48377	+	3.08108i
$399$	0.251323	−	1.10112i	0.0125819	−	0.0551248i
$400$	−0.511673	+	0.641617i	−0.0255836	+	0.0320809i
$401$	1.49193	+	0.340522i	0.0745032	+	0.0170049i	0.259610	−	0.965714i	$-0.416406\pi$
$401$	1.49193	+	0.340522i	0.0745032	+	0.0170049i	−0.185107	+	0.982718i	$0.559263\pi$
$402$	0.456423	−	0.947772i	0.0227643	−	0.0472706i
$403$	−1.33200	+	1.06224i	−0.0663519	+	0.0529139i
$404$	−45.9644	−	57.6376i	−2.28682	−	2.86758i
$405$	−19.2605	+	4.39609i	−0.957063	+	0.218443i
$406$	−28.6644	−	13.8041i	−1.42259	−	0.685084i
$407$	−37.7181	+	18.1641i	−1.86962	+	0.900360i
$408$	2.23937	+	5.62724i	0.110865	+	0.278590i
$409$	6.62451	+	29.0239i	0.327561	+	1.43514i	0.823764	+	0.566932i	$0.191870\pi$
$409$	6.62451	+	29.0239i	0.327561	+	1.43514i	−0.496203	+	0.868206i	$0.665273\pi$
$410$	13.0141	−	6.26727i	0.642721	−	0.309518i
$411$	−0.564354	+	1.17189i	−0.0278376	+	0.0578053i
$412$	−14.6664	−	64.2578i	−0.722562	−	3.16575i
$413$	1.99532	−	1.59122i	0.0981834	−	0.0782987i
$414$	45.6904	−	36.4369i	2.24556	−	1.79078i
$415$	−14.2382	+	29.5659i	−0.698925	+	1.45133i
$416$	17.7980	−	77.9783i	0.872620	−	3.82320i
$417$	0.320415	−	0.401788i	0.0156908	−	0.0196756i
$418$	72.5572	+	16.5607i	3.54889	+	0.810011i
$419$	−8.91746	−	18.5173i	−0.435646	−	0.904629i	−0.997026	−	0.0770705i	$-0.975443\pi$
$419$	−8.91746	−	18.5173i	−0.435646	−	0.904629i	0.561379	−	0.827559i	$-0.310271\pi$
$420$	1.95808	−	1.56151i	0.0955444	−	0.0761941i
$421$	−3.42143	+	1.64767i	−0.166750	+	0.0803027i	−0.515397	−	0.856951i	$-0.672356\pi$
$421$	−3.42143	+	1.64767i	−0.166750	+	0.0803027i	0.348647	+	0.937254i	$0.386641\pi$
$422$	10.0145	+	7.98627i	0.487496	+	0.388765i
$423$	−8.58781			−0.417554
$424$	−20.2971			−0.985715
$425$	0.193877	+	0.110713i	0.00940442	+	0.00537037i
$426$	−3.99613	−	1.92444i	−0.193613	−	0.0932393i
$427$	1.16545	+	5.10615i	0.0563999	+	0.247104i
$428$	−46.8719	−	10.6982i	−2.26564	−	0.517117i
$429$	−2.68650			−0.129705
$430$	−36.6211	+	16.9286i	−1.76603	+	0.816368i
$431$			0.00749674i			0.000361105i	1.00000		0.000180553i	$5.74717e-5\pi$
$431$			0.00749674i			0.000361105i	−1.00000		0.000180553i	$0.999943\pi$
$432$	13.5827	+	3.10016i	0.653497	+	0.149156i
$433$	0.748983	+	3.28151i	0.0359938	+	0.157699i	0.989731	−	0.142942i	$-0.0456563\pi$
$433$	0.748983	+	3.28151i	0.0359938	+	0.157699i	−0.953737	+	0.300642i	$0.902799\pi$
$434$	−1.55054	−	0.746700i	−0.0744282	−	0.0358427i
$435$	2.38228	+	1.89981i	0.114222	+	0.0910888i
$436$			50.5078i			2.41889i
$437$			39.9305i			1.91013i
$438$	−3.32112	+	4.16456i	−0.158689	+	0.198990i
$439$	−11.1981	−	23.2531i	−0.534455	−	1.10981i	−0.977035	−	0.213079i	$-0.931651\pi$
$439$	−11.1981	−	23.2531i	−0.534455	−	1.10981i	0.442580	−	0.896729i	$-0.354063\pi$
$440$	65.4068	+	82.0175i	3.11815	+	3.91003i
$441$	−14.1034	+	6.79185i	−0.671592	+	0.323422i
$442$	−40.2333	−	2.82334i	−1.91370	−	0.134293i
$443$	9.42222	−	11.8151i	0.447663	−	0.561352i	−0.505882	−	0.862603i	$-0.668833\pi$
$443$	9.42222	−	11.8151i	0.447663	−	0.561352i	0.953545	+	0.301251i	$0.0974042\pi$
$444$	1.60978	−	7.05293i	0.0763970	−	0.334717i
$445$	2.24510	−	4.66201i	0.106428	−	0.221000i
$446$	1.37122	+	1.71946i	0.0649293	+	0.0814188i
$447$	−0.601305	+	0.479525i	−0.0284408	+	0.0226808i
$448$	39.7807	−	9.07968i	1.87946	−	0.428975i
$449$	−8.03625	+	16.6874i	−0.379254	+	0.787529i	0.620740	+	0.784017i	$0.286832\pi$
$449$	−8.03625	+	16.6874i	−0.379254	+	0.787529i	−0.999994	+	0.00351250i	$0.998882\pi$
$450$	0.397382	−	0.191369i	0.0187328	−	0.00902123i
$451$	−2.55273	−	11.1843i	−0.120203	−	0.526646i
$452$	−3.91329	+	0.893182i	−0.184066	+	0.0420118i
$453$	−0.946032	−	1.96446i	−0.0444485	−	0.0922982i
$454$	−14.7101	+	30.5458i	−0.690377	+	1.43358i
$455$	2.35913	+	10.3360i	0.110598	+	0.484560i
$456$	−6.39159	+	5.09712i	−0.299313	+	0.238694i
$457$	4.87805	+	6.11688i	0.228185	+	0.286136i	0.882723	−	0.469894i	$-0.155708\pi$
$457$	4.87805	+	6.11688i	0.228185	+	0.286136i	−0.654537	+	0.756030i	$0.727137\pi$
$458$	28.2179	+	13.5890i	1.31854	+	0.634974i
$459$	0.265323	−	3.78092i	0.0123842	−	0.176478i
$460$	−55.2064	+	69.2266i	−2.57401	+	3.22771i
$461$	1.18253	−	5.18102i	0.0550760	−	0.241304i	−0.939895	−	0.341462i	$-0.889078\pi$
$461$	1.18253	−	5.18102i	0.0550760	−	0.241304i	0.994972	+	0.100158i	$0.0319350\pi$
$462$	−1.17744	−	2.44498i	−0.0547796	−	0.113751i
$463$	−13.4438	−	16.8580i	−0.624785	−	0.783456i	0.364224	−	0.931311i	$-0.381334\pi$
$463$	−13.4438	−	16.8580i	−0.624785	−	0.783456i	−0.989009	+	0.147856i	$0.952763\pi$
$464$	57.9426	+	120.319i	2.68992	+	5.58568i
$465$	0.128864	+	0.102766i	0.00597594	+	0.00476565i
$466$		−	12.9620i		−	0.600455i
$467$	5.75978			0.266531			0.133265	−	0.991080i	$-0.457454\pi$
$467$	5.75978			0.266531			0.133265	+	0.991080i	$0.457454\pi$
$468$	−36.4122	+	45.6594i	−1.68315	+	2.11061i
$469$	−1.43051	+	2.97049i	−0.0660549	+	0.137165i
$470$	17.3070	−	3.95022i	0.798314	−	0.182210i
$471$	1.75956	+	0.401608i	0.0810762	+	0.0185051i
$472$	−18.4729			−0.850283
$473$	6.63567	+	31.3470i	0.305108	+	1.44134i
$474$	−2.31305			−0.106242
$475$	−0.0670597	+	0.293808i	−0.00307691	+	0.0134808i
$476$	−11.0413	−	27.7453i	−0.506077	−	1.27170i
$477$	5.69950	+	2.74474i	0.260962	+	0.125673i
$478$	−39.6069	+	49.6655i	−1.81158	+	2.27165i
$479$		−	4.11661i		−	0.188093i	−0.995568	−	0.0940465i	$-0.970020\pi$
$479$		−	4.11661i		−	0.188093i	0.995568	−	0.0940465i	$-0.0299802\pi$
$480$	−7.73799			−0.353189
$481$	23.9428	+	19.0937i	1.09170	+	0.870599i
$482$	−19.3285	−	40.1361i	−0.880390	−	1.82815i
$483$	1.13835	−	0.907805i	0.0517968	−	0.0413065i
$484$	63.6826	−	30.6679i	2.89466	−	1.39400i
$485$	4.87804	−	21.3721i	0.221501	−	0.970457i
$486$	−8.79277	−	7.01200i	−0.398848	−	0.318071i
$487$	−6.63987	−	1.51551i	−0.300881	−	0.0686742i	0.0694150	−	0.997588i	$-0.477887\pi$
$487$	−6.63987	−	1.51551i	−0.300881	−	0.0686742i	−0.370296	+	0.928914i	$0.620744\pi$
$488$	16.4486	−	34.1559i	0.744593	−	1.54616i
$489$	2.26173	+	2.83612i	0.102279	+	0.128254i
$490$	25.2986	−	20.1749i	1.14287	−	0.911411i
$491$	−8.24215	−	36.1112i	−0.371963	−	1.62968i	−0.721259	−	0.692665i	$-0.756436\pi$
$491$	−8.24215	−	36.1112i	−0.371963	−	1.62968i	0.349296	−	0.937012i	$-0.386421\pi$
$492$	1.78608	+	0.860132i	0.0805228	+	0.0387777i
$493$	29.9206	−	20.6080i	1.34756	−	0.928137i
$494$	−12.1144	−	53.0765i	−0.545051	−	2.38802i
$495$	−7.27541	−	31.8757i	−0.327005	−	1.43270i
$496$	3.13428	+	6.50840i	0.140733	+	0.292236i
$497$	12.5246	+	6.03154i	0.561806	+	0.270551i
$498$	−5.99047	+	1.36729i	−0.268439	+	0.0612695i
$499$	−9.56588	+	7.62853i	−0.428228	+	0.341500i	−0.813767	−	0.581191i	$-0.802587\pi$
$499$	−9.56588	+	7.62853i	−0.428228	+	0.341500i	0.385539	+	0.922691i	$0.374015\pi$
$500$	47.7212	−	38.0564i	2.13415	−	1.70193i
$501$	1.90124	+	0.915590i	0.0849412	+	0.0409055i
$502$	−0.350251	+	1.53455i	−0.0156325	+	0.0684904i
$503$	−2.29982	−	1.83404i	−0.102544	−	0.0817759i	0.570876	−	0.821036i	$-0.306604\pi$
$503$	−2.29982	−	1.83404i	−0.102544	−	0.0817759i	−0.673420	+	0.739261i	$0.735175\pi$
$504$	−36.5595	−	8.34446i	−1.62849	−	0.371692i
$505$	−13.0996	−	27.2015i	−0.582923	−	1.21045i
$506$	59.8190	+	75.0106i	2.65928	+	3.33463i
$507$	−0.0149328	−	0.0310083i	−0.000663189	−	0.00137713i
$508$	54.0516	−	67.7785i	2.39815	−	3.00719i
$509$	−36.3334			−1.61045			−0.805224	−	0.592970i	$-0.797955\pi$
$509$	−36.3334			−1.61045			−0.805224	+	0.592970i	$0.797955\pi$
$510$	0.599836	+	3.85555i	0.0265612	+	0.170727i
$511$	10.4090	−	13.0525i	0.460467	−	0.577408i
$512$	−44.7532	−	21.5520i	−1.97783	−	0.952472i
$513$	4.98785	−	1.13845i	0.220219	−	0.0502636i
$514$	−3.60559	+	15.7971i	−0.159036	+	0.696781i
$515$		−	26.9926i		−	1.18944i
$516$	−4.95006	−	2.48089i	−0.217914	−	0.109215i
$517$		−	14.0987i		−	0.620062i
$518$	−6.88355	+	30.1588i	−0.302446	+	1.32510i
$519$	−0.413635	−	1.81226i	−0.0181566	−	0.0795492i
$520$	33.2957	−	69.1393i	1.46011	−	3.03196i
$521$	6.89960	+	5.50225i	0.302277	+	0.241058i	0.762867	−	0.646555i	$-0.223791\pi$
$521$	6.89960	+	5.50225i	0.302277	+	0.241058i	−0.460590	+	0.887613i	$0.652362\pi$
$522$		−	71.7729i		−	3.14142i
$523$	7.28641			0.318613			0.159306	−	0.987229i	$-0.449074\pi$
$523$	7.28641			0.318613			0.159306	+	0.987229i	$0.449074\pi$
$524$	−49.6773	−	39.6164i	−2.17016	−	1.73065i
$525$	0.00990054	−	0.00476785i	0.000432095	−	0.000208086i
$526$	−6.25831	−	7.84768i	−0.272875	−	0.342175i
$527$	1.61849	−	1.11474i	0.0705026	−	0.0485590i
$528$	−2.53471	+	11.1053i	−0.110309	+	0.483296i
$529$	−17.7546	+	22.2636i	−0.771940	+	0.967982i
$530$	−12.7487	−	2.90982i	−0.553770	−	0.126394i
$531$	5.18725	+	2.49805i	0.225107	+	0.108406i
$532$	31.5139	−	25.1315i	1.36630	−	1.08959i
$533$	−6.56099	+	5.23221i	−0.284188	+	0.226632i
$534$	0.944588	−	0.215596i	0.0408763	−	0.00932975i
$535$	−17.7395	−	8.54288i	−0.766944	−	0.369341i
$536$	21.5012	−	10.3544i	0.928710	−	0.447243i
$537$	−3.46225	+	0.790237i	−0.149407	+	0.0341012i
$538$	80.6558	−	18.4092i	3.47732	−	0.793676i
$539$	−11.1503	−	23.1538i	−0.480277	−	0.997305i
$540$	10.2213	+	4.92232i	0.439855	+	0.211823i
$541$	15.9724	−	3.64560i	0.686707	−	0.156736i	0.135089	−	0.990833i	$-0.456868\pi$
$541$	15.9724	−	3.64560i	0.686707	−	0.156736i	0.551618	+	0.834097i	$0.314011\pi$
$542$	34.0898	+	42.7473i	1.46428	+	1.83615i
$543$	−0.658934	−	0.826278i	−0.0282776	−	0.0354590i
$544$	−26.7765	+	88.2912i	−1.14803	+	3.78545i
$545$	−4.60279	+	20.1661i	−0.197162	+	0.863822i
$546$	−1.23771	+	1.55203i	−0.0529689	+	0.0664209i
$547$	−10.8713	−	2.48130i	−0.464823	−	0.106093i	−0.0163060	−	0.999867i	$-0.505191\pi$
$547$	−10.8713	−	2.48130i	−0.464823	−	0.106093i	−0.448517	+	0.893774i	$0.648048\pi$
$548$	−41.8231	+	20.1410i	−1.78660	+	0.860379i
$549$	−9.23766	+	7.36678i	−0.394254	+	0.314407i
$550$	0.314173	+	0.652388i	0.0133964	+	0.0278179i
$551$	38.3413	+	30.5761i	1.63339	+	1.30259i
$552$	−10.5389			−0.448567
$553$	7.24952			0.308281
$554$	−21.6625	−	17.2753i	−0.920352	−	0.733956i
$555$	1.28547	−	2.66930i	0.0545651	−	0.113306i
$556$	17.8807	−	4.08115i	0.758311	−	0.173079i
$557$	4.31288	−	18.8960i	0.182743	−	0.800648i	−0.797575	−	0.603220i	$-0.793884\pi$
$557$	4.31288	−	18.8960i	0.182743	−	0.800648i	0.980317	−	0.197428i	$-0.0632589\pi$
$558$		−	3.88240i		−	0.164355i
$559$	18.5537	−	14.3226i	0.784739	−	0.605782i
$560$	44.9524			1.89958
$561$	3.09131	+	0.216930i	0.130515	+	0.00915880i
$562$	−19.8782	−	87.0920i	−0.838510	−	3.67375i
$563$	−32.2141	−	15.5135i	−1.35766	−	0.653816i	−0.393549	−	0.919304i	$-0.628753\pi$
$563$	−32.2141	−	15.5135i	−1.35766	−	0.653816i	−0.964114	+	0.265487i	$0.914467\pi$
$564$	1.90480	+	1.51903i	0.0802067	+	0.0639627i
$565$	−1.64384			−0.0691570
$566$		−	26.0464i		−	1.09481i
$567$	9.06442	+	7.22863i	0.380670	+	0.303574i
$568$	−43.6578	−	90.6564i	−1.83184	−	3.80386i
$569$	12.0463	+	15.1056i	0.505008	+	0.633260i	0.967351	−	0.253441i	$-0.0815625\pi$
$569$	12.0463	+	15.1056i	0.505008	+	0.633260i	−0.462343	+	0.886701i	$0.652991\pi$
$570$	−4.74533	+	2.28523i	−0.198760	+	0.0957177i
$571$	16.5250	+	3.77172i	0.691549	+	0.157842i	0.553830	−	0.832630i	$-0.313166\pi$
$571$	16.5250	+	3.77172i	0.691549	+	0.157842i	0.137719	+	0.990471i	$0.456023\pi$
$572$	−74.9597	−	59.7783i	−3.13422	−	2.49946i
$573$	−1.35293	−	0.308797i	−0.0565194	−	0.0129002i
$574$	−7.63741	−	3.67798i	−0.318779	−	0.153516i
$575$	−0.303743	+	0.242227i	−0.0126669	+	0.0101016i
$576$	57.3927	+	71.9681i	2.39136	+	2.99867i
$577$	0.184889	+	0.810052i	0.00769703	+	0.0337229i	0.978631	−	0.205626i	$-0.0659231\pi$
$577$	0.184889	+	0.810052i	0.00769703	+	0.0337229i	−0.970934	+	0.239349i	$0.923066\pi$
$578$	46.0679	+	6.49755i	1.91617	+	0.270262i
$579$	0.827743	−	0.398620i	0.0343998	−	0.0165661i
$580$	24.1980	+	106.018i	1.00477	+	4.40217i
$581$	18.7752	−	4.28532i	0.778928	−	0.177785i
$582$	3.69821	−	1.78096i	0.153296	−	0.0738233i
$583$	−4.50607	+	9.35695i	−0.186622	+	0.387525i
$584$	−117.811	+	26.8896i	−4.87506	+	1.11270i
$585$	−18.6991	+	14.9121i	−0.773114	+	0.616538i
$586$	44.0240	+	55.2044i	1.81862	+	2.28047i
$587$	−16.4693	−	7.93119i	−0.679761	−	0.327355i	0.0619465	−	0.998079i	$-0.480269\pi$
$587$	−16.4693	−	7.93119i	−0.679761	−	0.327355i	−0.741707	+	0.670724i	$0.765983\pi$
$588$	4.32954	+	0.988190i	0.178547	+	0.0407523i
$589$	2.07398	+	1.65395i	0.0854571	+	0.0681497i
$590$	−11.6029	−	2.64829i	−0.477685	−	0.109029i
$591$	−0.469783	+	0.226236i	−0.0193243	+	0.00930609i
$592$	101.519	−	80.9585i	4.17239	−	3.32737i
$593$	−17.1178	+	8.24350i	−0.702944	+	0.338520i	−0.750980	−	0.660325i	$-0.770418\pi$
$593$	−17.1178	+	8.24350i	−0.702944	+	0.338520i	0.0480352	+	0.998846i	$0.484704\pi$
$594$	7.66435	−	9.61080i	0.314472	−	0.394336i
$595$	−1.88000	−	12.0840i	−0.0770723	−	0.495395i
$596$	−27.4480			−1.12431
$597$	−2.39079	+	2.99796i	−0.0978485	+	0.122698i
$598$	30.4512	−	63.2326i	1.24524	−	2.58577i
$599$	2.15412	+	9.43783i	0.0880151	+	0.385619i	0.999679	−	0.0253162i	$-0.00805925\pi$
$599$	2.15412	+	9.43783i	0.0880151	+	0.385619i	−0.911664	+	0.410936i	$0.865202\pi$
$600$	−0.0775454	−	0.0176992i	−0.00316578	−	0.000722568i
$601$			23.4438i			0.956291i	0.878281	+	0.478146i	$0.158691\pi$
$601$			23.4438i			0.956291i	−0.878281	+	0.478146i	$0.841309\pi$
$602$	21.1668	+	10.6084i	0.862695	+	0.432368i
$603$	−7.43782			−0.302891
$604$	17.3154	−	75.8636i	0.704552	−	3.08684i
$605$	28.2212	−	6.44129i	1.14735	−	0.261876i
$606$	2.45281	−	5.09331i	0.0996386	−	0.206902i
$607$	0.567607	+	0.452651i	0.0230385	+	0.0183726i	0.634941	−	0.772560i	$-0.281024\pi$
$607$	0.567607	+	0.452651i	0.0230385	+	0.0183726i	−0.611903	+	0.790933i	$0.709596\pi$
$608$	−124.538			−5.05067
$609$		−	1.78818i		−	0.0724608i
$610$	15.2281	−	19.0954i	0.616568	−	0.773152i
$611$	−9.29205	+	4.47481i	−0.375916	+	0.181032i
$612$	45.5858	−	49.5993i	1.84270	−	2.00493i
$613$	−7.06831	+	3.40392i	−0.285486	+	0.137483i	−0.571147	−	0.820848i	$-0.693501\pi$
$613$	−7.06831	+	3.40392i	−0.285486	+	0.137483i	0.285661	+	0.958331i	$0.407787\pi$
$614$	−14.4031	+	63.1040i	−0.581261	+	2.54667i
$615$	0.634740	+	0.506188i	0.0255952	+	0.0204115i
$616$	13.6992	−	60.0202i	0.551957	−	2.41828i
$617$	−5.56776	+	11.5616i	−0.224150	+	0.465452i	−0.982468	−	0.186433i	$-0.940307\pi$
$617$	−5.56776	+	11.5616i	−0.224150	+	0.465452i	0.758318	+	0.651885i	$0.226021\pi$
$618$	3.95152	−	3.15123i	0.158954	−	0.126761i
$619$	17.2428	−	13.7507i	0.693048	−	0.552687i	−0.212380	−	0.977187i	$-0.568122\pi$
$619$	17.2428	−	13.7507i	0.693048	−	0.552687i	0.905428	+	0.424500i	$0.139550\pi$
$620$	1.30894	+	5.73483i	0.0525682	+	0.230316i
$621$	5.94228	+	2.86165i	0.238455	+	0.114834i
$622$	10.1704	+	21.1191i	0.407797	+	0.846798i
$623$	−2.96051	+	0.675718i	−0.118610	+	0.0270721i
$624$	8.12366	−	1.85417i	0.325207	−	0.0742263i
$625$	22.7655	−	10.9633i	0.910620	−	0.438532i
$626$	30.0556	−	62.4111i	1.20126	−	2.49445i
$627$	0.930801	+	4.07811i	0.0371726	+	0.162864i
$628$	40.1595	+	50.3585i	1.60254	+	2.00952i
$629$	−26.0088	−	23.9042i	−1.03704	−	0.953122i
$630$	−21.7670	−	10.4824i	−0.867217	−	0.417630i
$631$	5.95270	−	26.0805i	0.236973	−	1.03825i	−0.706738	−	0.707476i	$-0.749834\pi$
$631$	5.95270	−	26.0805i	0.236973	−	1.03825i	0.943711	−	0.330772i	$-0.107309\pi$
$632$	−41.0258	−	32.7170i	−1.63192	−	1.30141i
$633$	−0.160200	+	0.701883i	−0.00636739	+	0.0278974i
$634$	6.01605	+	12.4925i	0.238928	+	0.496139i
$635$	27.7577	−	22.1360i	1.10153	−	0.878441i
$636$	−0.778673	−	1.61693i	−0.0308764	−	0.0641155i
$637$	−11.7210	+	14.6976i	−0.464402	+	0.582341i
$638$	117.831			4.66496
$639$			31.3604i			1.24060i
$640$	−70.1052	−	55.9070i	−2.77115	−	2.20992i
$641$	−2.99911	+	6.22771i	−0.118458	+	0.245980i	−0.951764	−	0.306832i	$-0.900731\pi$
$641$	−2.99911	+	6.22771i	−0.118458	+	0.245980i	0.833306	+	0.552812i	$0.186445\pi$
$642$	−0.820368	−	3.59427i	−0.0323773	−	0.141854i
$643$	40.1049	+	9.15369i	1.58158	+	0.360986i	0.920937	−	0.389711i	$-0.127425\pi$
$643$	40.1049	+	9.15369i	1.58158	+	0.360986i	0.660647	+	0.750697i	$0.270282\pi$
$644$	51.9627			2.04762
$645$	−1.75032	−	1.44164i	−0.0689186	−	0.0567644i
$646$	9.65396	+	62.0525i	0.379830	+	2.44142i
$647$	2.39841	−	10.5081i	0.0942911	−	0.413116i	−0.905649	−	0.424027i	$-0.860616\pi$
$647$	2.39841	−	10.5081i	0.0942911	−	0.413116i	0.999940	+	0.0109110i	$0.00347315\pi$
$648$	−18.6738	−	81.8151i	−0.733575	−	3.21400i
$649$	−4.10108	+	8.51598i	−0.160981	+	0.334281i
$650$	0.330253	−	0.414124i	0.0129536	−	0.0162433i
$651$		−	0.0967277i		−	0.00379106i
$652$			129.461i			5.07010i
$653$	−3.36298	−	2.68189i	−0.131604	−	0.104950i	0.555476	−	0.831533i	$-0.312536\pi$
$653$	−3.36298	−	2.68189i	−0.131604	−	0.104950i	−0.687079	+	0.726582i	$0.741108\pi$
$654$	−3.48953	+	1.68047i	−0.136451	+	0.0657115i
$655$	−16.2243	−	20.3446i	−0.633936	−	0.794930i
$656$	15.4384	+	32.0581i	0.602766	+	1.25166i
$657$	36.7181	+	8.38066i	1.43251	+	0.326961i
$658$	−8.14507	−	6.49548i	−0.317528	−	0.253220i
$659$	0.693828	−	3.03986i	0.0270277	−	0.118416i	−0.959615	−	0.281318i	$-0.909228\pi$
$659$	0.693828	−	3.03986i	0.0270277	−	0.118416i	0.986642	+	0.162902i	$0.0520855\pi$
$660$	−4.02453	+	8.35701i	−0.156654	+	0.325296i
$661$	16.2585	+	20.3875i	0.632381	+	0.792981i	0.990027	−	0.140876i	$-0.0449920\pi$
$661$	16.2585	+	20.3875i	0.632381	+	0.792981i	−0.357646	+	0.933857i	$0.616421\pi$
$662$	4.06703	+	5.09989i	0.158069	+	0.198213i
$663$	−0.838182	−	2.10624i	−0.0325523	−	0.0817996i
$664$	−125.590	−	60.4812i	−4.87386	−	2.34713i
$665$	14.8727	−	7.16233i	0.576740	−	0.277743i
$666$	−68.0364	+	15.5289i	−2.63636	+	0.601731i
$667$	14.0678	+	61.6350i	0.544707	+	2.38652i
$668$	32.6760	+	67.8524i	1.26427	+	2.62529i
$669$	−0.0536328	+	0.111370i	−0.00207356	+	0.00430580i
$670$	14.9895	−	3.42125i	0.579093	−	0.132174i
$671$	−12.0942	−	15.1656i	−0.466890	−	0.585461i
$672$	2.83132	+	3.55036i	0.109220	+	0.136958i
$673$	−16.9780	+	35.2552i	−0.654454	+	1.35899i	0.264409	+	0.964411i	$0.414823\pi$
$673$	−16.9780	+	35.2552i	−0.654454	+	1.35899i	−0.918863	+	0.394577i	$0.870891\pi$
$674$	−14.3511	−	3.27554i	−0.552783	−	0.126169i
$675$	0.0389173	+	0.0310355i	0.00149793	+	0.00119456i
$676$	0.273317	−	1.19748i	0.0105122	−	0.0460570i
$677$	18.3737	+	38.1533i	0.706157	+	1.46635i	0.876719	+	0.481003i	$0.159727\pi$
$677$	18.3737	+	38.1533i	0.706157	+	1.46635i	−0.170562	+	0.985347i	$0.554558\pi$
$678$	−0.191910	−	0.240647i	−0.00737024	−	0.00924199i
$679$	−11.5909	+	5.58187i	−0.444817	+	0.214212i
$680$	−43.8958	+	76.8689i	−1.68333	+	2.94779i
$681$	−1.90555			−0.0730207
$682$	6.37378			0.244065
$683$	36.3479	+	28.9865i	1.39082	+	1.10914i	0.980351	+	0.197262i	$0.0632049\pi$
$683$	36.3479	+	28.9865i	1.39082	+	1.10914i	0.410465	+	0.911877i	$0.365367\pi$
$684$	81.9269	+	39.4539i	3.13255	+	1.50856i
$685$	−18.5341	+	4.23028i	−0.708150	+	0.161631i
$686$	−43.1541	−	9.84964i	−1.64763	−	0.376061i
$687$			1.76033i			0.0671607i
$688$	−41.7007	−	90.2099i	−1.58982	−	3.43922i
$689$	7.59707			0.289425
$690$	−6.61958	−	1.51088i	−0.252003	−	0.0575181i
$691$	−39.1391	+	8.93325i	−1.48892	+	0.339837i	−0.888139	−	0.459574i	$-0.848002\pi$
$691$	−39.1391	+	8.93325i	−1.48892	+	0.339837i	−0.600784	+	0.799411i	$0.705145\pi$
$692$	28.7838	−	59.7702i	1.09420	−	2.27212i
$693$	−11.9632	+	15.0014i	−0.454444	+	0.569855i
$694$			41.4953i			1.57514i
$695$	7.51110			0.284912
$696$	−8.07003	+	10.1195i	−0.305894	+	0.383578i
$697$	7.97212	−	5.49083i	0.301965	−	0.207980i
$698$	−39.1981	−	49.1528i	−1.48367	−	1.86046i
$699$	0.656389	−	0.316100i	0.0248269	−	0.0119560i
$700$	0.382340	+	0.0872667i	0.0144511	+	0.00329837i
$701$	4.73051	−	5.93187i	0.178669	−	0.224044i	−0.684430	−	0.729078i	$-0.739949\pi$
$701$	4.73051	−	5.93187i	0.178669	−	0.224044i	0.863099	+	0.505035i	$0.168520\pi$
$702$	−8.76679	−	2.00096i	−0.330881	−	0.0755214i
$703$	20.6888	−	42.9607i	0.780292	−	1.62029i
$704$	−118.151	+	94.2223i	−4.45299	+	3.55114i
$705$	0.622097	+	0.780084i	0.0234295	+	0.0293797i
$706$	8.09145	+	35.4510i	0.304526	+	1.33421i
$707$	−7.68756	+	15.9634i	−0.289120	+	0.600365i
$708$	−0.708689	−	1.47161i	−0.0266341	−	0.0553064i
$709$	28.6406	−	6.53703i	1.07562	−	0.245503i	0.352209	−	0.935921i	$-0.385431\pi$
$709$	28.6406	−	6.53703i	1.07562	−	0.245503i	0.723411	+	0.690418i	$0.242573\pi$
$710$	−14.4252	−	63.2008i	−0.541367	−	2.37188i
$711$	7.09594	+	14.7349i	0.266119	+	0.552601i
$712$	19.8033	+	9.53679i	0.742161	+	0.357406i
$713$	0.760966	+	3.33401i	0.0284984	+	0.124860i
$714$	1.54953	−	1.68596i	0.0579898	−	0.0630954i
$715$	−24.4813	−	30.6986i	−0.915550	−	1.14806i
$716$	−114.189	−	54.9905i	−4.26744	−	2.05509i
$717$	−3.48091	−	0.794494i	−0.129997	−	0.0296709i
$718$	21.7402	−	27.2613i	0.811336	−	1.01738i
$719$	−17.0918	−	3.90109i	−0.637417	−	0.145486i	−0.108413	−	0.994106i	$-0.534577\pi$
$719$	−17.0918	−	3.90109i	−0.637417	−	0.145486i	−0.529004	+	0.848620i	$0.677434\pi$
$720$	44.0001	+	91.3671i	1.63979	+	3.40505i
$721$	−12.3848	+	9.87655i	−0.461234	+	0.367822i
$722$	−29.5250	+	14.2185i	−1.09881	+	0.529158i
$723$	1.56111	−	1.95757i	0.0580582	−	0.0728027i
$724$		−	37.7173i		−	1.40175i
$725$			0.477135i			0.0177203i
$726$	4.23762	+	3.37939i	0.157273	+	0.125421i
$727$	22.2592	+	10.7194i	0.825546	+	0.397562i	0.798443	−	0.602071i	$-0.205657\pi$
$727$	22.2592	+	10.7194i	0.825546	+	0.397562i	0.0271033	+	0.999633i	$0.491372\pi$
$728$	−43.9055	+	10.0211i	−1.62725	+	0.371408i
$729$	−5.72563	+	25.0856i	−0.212060	+	0.929098i
$730$	−77.8530			−2.88147
$731$	−22.5060	+	14.9826i	−0.832415	+	0.554153i
$732$	3.35199			0.123893
$733$	−1.39787	+	6.12445i	−0.0516313	+	0.226212i	−0.994160	−	0.107913i	$-0.965583\pi$
$733$	−1.39787	+	6.12445i	−0.0516313	+	0.226212i	0.942529	+	0.334124i	$0.108440\pi$
$734$	61.0233	−	13.9282i	2.25241	−	0.514098i
$735$	1.63859	+	0.789104i	0.0604403	+	0.0291065i
$736$	−125.521	−	100.100i	−4.62676	−	3.68972i
$737$		−	12.2108i		−	0.449790i
$738$		−	19.1233i		−	0.703939i
$739$	−14.1940	+	17.7987i	−0.522133	+	0.654735i	−0.971060	−	0.238834i	$-0.923235\pi$
$739$	−14.1940	+	17.7987i	−0.522133	+	0.654735i	0.448927	+	0.893568i	$0.351806\pi$
$740$	95.2634	−	45.8765i	3.50195	−	1.68645i
$741$	2.39233	−	1.90782i	0.0878844	−	0.0700855i
$742$	3.32966	+	6.91411i	0.122236	+	0.253825i
$743$	25.1507	+	5.74049i	0.922691	+	0.210598i	0.657375	−	0.753563i	$-0.271667\pi$
$743$	25.1507	+	5.74049i	0.922691	+	0.210598i	0.265316	+	0.964162i	$0.414524\pi$
$744$	−0.436530	+	0.547392i	−0.0160040	+	0.0200683i
$745$	−10.9591	−	2.50134i	−0.401509	−	0.0916419i
$746$	−22.2144	−	10.6979i	−0.813329	−	0.391678i
$747$	27.0875	+	33.9667i	0.991081	+	1.24278i
$748$	81.4279	+	74.8388i	2.97730	+	2.73638i
$749$	2.57118	+	11.2651i	0.0939490	+	0.411617i
$750$	4.21702	+	2.03081i	0.153984	+	0.0741547i
$751$	−10.5155	−	21.8356i	−0.383714	−	0.796791i	−0.999957	−	0.00923492i	$-0.997060\pi$
$751$	−10.5155	−	21.8356i	−0.383714	−	0.796791i	0.616243	−	0.787556i	$-0.288654\pi$
$752$	9.73070	+	42.6330i	0.354842	+	1.55466i
$753$	−0.0862500	+	0.0196860i	−0.00314313	+	0.000717398i
$754$	−37.3984	−	77.6586i	−1.36197	−	2.82816i
$755$	13.8269	−	28.7119i	0.503213	−	1.04493i
$756$	−1.48149	−	6.49083i	−0.0538813	−	0.236069i
$757$	−15.2789	−	19.1591i	−0.555321	−	0.696350i	0.422364	−	0.906426i	$-0.361200\pi$
$757$	−15.2789	−	19.1591i	−0.555321	−	0.696350i	−0.977685	+	0.210076i	$0.932629\pi$
$758$	−25.5492	+	20.3748i	−0.927989	+	0.740046i
$759$	−2.33971	+	4.85845i	−0.0849259	+	0.176350i
$760$	−116.490	−	26.5880i	−4.22553	−	0.964449i
$761$	−0.612672	+	0.768267i	−0.0222094	+	0.0278497i	−0.792812	−	0.609466i	$-0.791384\pi$
$761$	−0.612672	+	0.768267i	−0.0222094	+	0.0278497i	0.770603	+	0.637316i	$0.219955\pi$
$762$	6.48111	+	1.47927i	0.234786	+	0.0535884i
$763$	10.9368	−	5.26690i	0.395940	−	0.190674i
$764$	−30.8788	−	38.7208i	−1.11715	−	1.40087i
$765$	22.7209	−	15.6491i	0.821476	−	0.565796i
$766$	−27.7536	+	34.8019i	−1.00278	+	1.25744i
$767$	6.91427			0.249660
$768$		−	7.27539i		−	0.262528i
$769$	15.2296	−	19.0973i	0.549192	−	0.688665i	−0.427327	−	0.904097i	$-0.640545\pi$
$769$	15.2296	−	19.0973i	0.549192	−	0.688665i	0.976519	+	0.215432i	$0.0691160\pi$
$770$	17.2091	−	35.7351i	0.620174	−	1.28781i
$771$	−0.887883	+	0.202654i	−0.0319763	+	0.00729839i
$772$	31.9659	+	7.29600i	1.15048	+	0.262589i
$773$	−18.1701			−0.653533			−0.326767	−	0.945105i	$-0.605959\pi$
$773$	−18.1701			−0.653533			−0.326767	+	0.945105i	$0.605959\pi$
$774$	−0.843584	+	53.4059i	−0.0303220	+	1.91963i
$775$			0.0258095i			0.000927106i
$776$	90.7847	+	20.7210i	3.25898	+	0.743841i
$777$	−1.69509	+	0.386893i	−0.0608109	+	0.0138797i
$778$	−40.7011	−	19.6006i	−1.45920	−	0.702716i
$779$	10.2157	+	8.14676i	0.366016	+	0.291888i
$780$	6.78520			0.242949
$781$	−51.4849			−1.84227
$782$	−40.1457	+	70.3019i	−1.43561	+	2.51399i
$783$	7.29796	−	3.51451i	0.260808	−	0.125598i
$784$	49.6975	+	62.3187i	1.77491	+	2.22567i
$785$	11.4452	+	23.7662i	0.408497	+	0.848254i
$786$	1.08421	−	4.75024i	0.0386726	−	0.169436i
$787$	16.2018	+	12.9205i	0.577532	+	0.460567i	0.868170	−	0.496266i	$-0.165296\pi$
$787$	16.2018	+	12.9205i	0.577532	+	0.460567i	−0.290638	+	0.956833i	$0.593868\pi$
$788$	−18.1421	−	4.14082i	−0.646287	−	0.147511i
$789$	0.244782	−	0.508295i	0.00871447	−	0.0180958i
$790$	−21.0782	−	26.4313i	−0.749929	−	0.940382i
$791$	0.601480	+	0.754232i	0.0213862	+	0.0268174i
$792$	135.402	−	30.9046i	4.81130	−	1.09815i
$793$	−6.15660	+	12.7843i	−0.218627	+	0.453984i
$794$	23.1028	+	47.9735i	0.819889	+	1.70252i
$795$	−0.163548	−	0.716548i	−0.00580043	−	0.0254134i
$796$	−133.418	+	30.4517i	−4.72886	+	1.07933i
$797$	41.5509	−	20.0098i	1.47181	−	0.708785i	0.485581	−	0.874192i	$-0.338608\pi$
$797$	41.5509	−	20.0098i	1.47181	−	0.708785i	0.986225	+	0.165407i	$0.0528937\pi$
$798$	2.78482	+	1.34110i	0.0985816	+	0.0474744i
$799$	11.0535	−	4.39878i	0.391046	−	0.155618i
$800$	−0.755472	−	0.947332i	−0.0267100	−	0.0334932i
$801$	−4.27121	−	5.35593i	−0.150916	−	0.189242i
$802$	−1.81708	+	3.77321i	−0.0641634	+	0.133237i
$803$	−13.7586	+	60.2806i	−0.485532	+	2.12725i
$804$	1.64973	+	1.31562i	0.0581816	+	0.0463982i
$805$	20.7470	+	4.73536i	0.731235	+	0.166900i
$806$	−2.02298	−	4.20077i	−0.0712566	−	0.147966i
$807$	2.89915	+	3.63542i	0.102055	+	0.127973i
$808$	115.547	−	55.6445i	4.06493	−	1.95757i
$809$	−11.1077	−	8.85813i	−0.390528	−	0.311435i	0.408468	−	0.912773i	$-0.366063\pi$
$809$	−11.1077	−	8.85813i	−0.390528	−	0.311435i	−0.798995	+	0.601337i	$0.794635\pi$
$810$		−	54.0657i		−	1.89967i
$811$		−	9.29201i		−	0.326287i	−0.986602	−	0.163143i	$-0.947837\pi$
$811$		−	9.29201i		−	0.326287i	0.986602	−	0.163143i	$-0.0521633\pi$
$812$	39.7896	−	49.8945i	1.39634	−	1.75095i
$813$	−1.33336	+	2.76875i	−0.0467629	+	0.0971042i
$814$	−25.4939	−	111.696i	−0.893562	−	3.91495i
$815$	−11.7978	+	51.6897i	−0.413260	+	1.81061i
$816$	−9.49749	+	1.47759i	−0.332479	+	0.0517262i
$817$	−28.1702	−	23.2022i	−0.985549	−	0.811742i
$818$	−81.4722			−2.84861
$819$	13.6840	+	3.12328i	0.478157	+	0.109136i
$820$	6.44736	+	28.2477i	0.225152	+	0.986454i
$821$	19.3266	−	40.1322i	0.674504	−	1.40062i	−0.229589	−	0.973288i	$-0.573738\pi$
$821$	19.3266	−	40.1322i	0.674504	−	1.40062i	0.904093	−	0.427335i	$-0.140548\pi$
$822$	−2.78303	−	2.21939i	−0.0970694	−	0.0774102i
$823$		−	6.74024i		−	0.234950i	−0.993076	−	0.117475i	$-0.962520\pi$
$823$		−	6.74024i		−	0.234950i	0.993076	−	0.117475i	$-0.0374800\pi$
$824$	114.659			3.99435
$825$	−0.0253748	+	0.0318190i	−0.000883439	+	0.00110780i
$826$	3.03040	+	6.29269i	0.105441	+	0.218951i
$827$	9.17148	−	7.31401i	0.318924	−	0.254333i	−0.450922	−	0.892563i	$-0.648905\pi$
$827$	9.17148	−	7.31401i	0.318924	−	0.254333i	0.769846	+	0.638230i	$0.220333\pi$
$828$	50.8618	+	105.616i	1.76757	+	3.67040i
$829$	8.36887	−	36.6664i	0.290663	−	1.27348i	−0.592942	−	0.805245i	$-0.702034\pi$
$829$	8.36887	−	36.6664i	0.290663	−	1.27348i	0.883605	−	0.468232i	$-0.155109\pi$
$830$	−70.2136	−	55.9934i	−2.43715	−	1.94356i
$831$	0.346533	−	1.51826i	0.0120211	−	0.0526679i
$832$	99.5992	+	47.9645i	3.45298	+	1.66287i
$833$	14.6739	−	15.9659i	0.508422	−	0.553185i
$834$	0.876879	+	1.09957i	0.0303638	+	0.0380750i
$835$	6.86306	+	30.0690i	0.237506	+	1.04058i
$836$	−64.7721	+	134.501i	−2.24019	+	4.65180i
$837$	0.394767	−	0.190110i	0.0136451	−	0.00657115i
$838$	54.8361	−	12.5160i	1.89428	−	0.432358i
$839$	11.8132	−	2.69628i	0.407836	−	0.0930860i	−0.0136808	−	0.999906i	$-0.504355\pi$
$839$	11.8132	−	2.69628i	0.407836	−	0.0930860i	0.421517	+	0.906820i	$0.361498\pi$
$840$	1.89037	+	3.92539i	0.0652239	+	0.135439i
$841$	43.8260	+	21.1055i	1.51124	+	0.727776i
$842$	−2.31257	−	10.1320i	−0.0796964	−	0.349173i
$843$	3.92552	−	3.13049i	0.135202	−	0.107820i
$844$	−20.0879	+	16.0195i	−0.691453	+	0.551415i
$845$	0.218253	−	0.453208i	0.00750814	−	0.0155908i
$846$	5.22974	−	22.9130i	0.179802	−	0.787764i
$847$	−13.2815	−	10.5916i	−0.456357	−	0.363933i
$848$	7.16785	−	31.4044i	0.246145	−	1.07843i
$849$	1.31897	−	0.635183i	0.0452670	−	0.0217994i
$850$	−0.413457	+	0.449859i	−0.0141815	+	0.0154300i
$851$	55.3825	−	26.6708i	1.89849	−	0.914264i
$852$	5.54710	−	6.95584i	0.190041	−	0.238303i
$853$		−	36.8456i		−	1.26157i	−0.775958	−	0.630785i	$-0.782733\pi$
$853$		−	36.8456i		−	1.26157i	0.775958	−	0.630785i	$-0.217267\pi$
$854$	−14.3334			−0.490477
$855$	29.1153	+	23.2187i	0.995722	+	0.794062i
$856$	36.2886	−	75.3540i	1.24032	−	2.57555i
$857$	34.7849	−	7.93944i	1.18823	−	0.271206i	0.417686	−	0.908591i	$-0.362841\pi$
$857$	34.7849	−	7.93944i	1.18823	−	0.271206i	0.770545	+	0.637386i	$0.219984\pi$
$858$	1.63600	−	7.16779i	0.0558521	−	0.244704i
$859$	8.88067			0.303005			0.151502	−	0.988457i	$-0.451589\pi$
$859$	8.88067			0.303005			0.151502	+	0.988457i	$0.451589\pi$
$860$	−16.7595	−	79.1721i	−0.571495	−	2.69975i
$861$		−	0.476447i		−	0.0162373i
$862$	−0.0200019	−	0.00456530i	−0.000681267	−	0.000155495i
$863$	9.87361	+	43.2591i	0.336102	+	1.47256i	0.807095	+	0.590421i	$0.201038\pi$
$863$	9.87361	+	43.2591i	0.336102	+	1.47256i	−0.470993	+	0.882137i	$0.656104\pi$
$864$	−8.92509	+	18.5331i	−0.303638	+	0.630510i
$865$	16.9393	−	21.2412i	0.575954	−	0.722223i
$866$	−9.21144			−0.313017
$867$	0.794407	+	2.49130i	0.0269795	+	0.0846089i
$868$	2.15233	−	2.69893i	0.0730548	−	0.0916078i
$869$	−24.1905	+	11.6495i	−0.820605	+	0.395182i
$870$	−6.51958	+	5.19919i	−0.221035	+	0.176269i
$871$	−8.04775	+	3.87559i	−0.272688	+	0.131319i
$872$	−85.6620	−	19.5518i	−2.90088	−	0.662107i
$873$	−22.6906	−	18.0952i	−0.767961	−	0.612429i
$874$	−106.538	−	24.3166i	−3.60369	−	0.822520i
$875$	−13.2169	−	6.36493i	−0.446813	−	0.215174i
$876$	−6.66179	−	8.35363i	−0.225081	−	0.282243i
$877$	−38.8084	+	30.9487i	−1.31047	+	1.04506i	−0.315086	+	0.949063i	$0.602033\pi$
$877$	−38.8084	+	30.9487i	−1.31047	+	1.04506i	−0.995381	+	0.0960000i	$0.969395\pi$
$878$	68.8604	−	15.7169i	2.32392	−	0.530421i
$879$	−1.72192	+	3.57559i	−0.0580788	+	0.120602i
$880$	−149.999	+	72.2355i	−5.05645	+	2.43506i
$881$	11.3266	−	2.58523i	0.381604	−	0.0870986i	−0.0274160	−	0.999624i	$-0.508728\pi$
$881$	11.3266	−	2.58523i	0.381604	−	0.0870986i	0.409020	+	0.912526i	$0.365871\pi$
$882$	−9.53262	−	41.7651i	−0.320980	−	1.40630i
$883$	18.7339	−	9.02178i	0.630446	−	0.303607i	−0.0912382	−	0.995829i	$-0.529082\pi$
$883$	18.7339	−	9.02178i	0.630446	−	0.303607i	0.721684	+	0.692222i	$0.243368\pi$
$884$	23.4795	−	77.4199i	0.789702	−	2.60391i
$885$	−0.148848	−	0.652147i	−0.00500348	−	0.0219217i
$886$	25.7857	+	32.3343i	0.866289	+	1.08629i
$887$	6.73802	−	5.37339i	0.226240	−	0.180421i	−0.503809	−	0.863815i	$-0.668068\pi$
$887$	6.73802	−	5.37339i	0.226240	−	0.180421i	0.730049	+	0.683394i	$0.239497\pi$
$888$	11.3387	+	5.46043i	0.380502	+	0.183240i
$889$	−20.3130	−	4.63631i	−0.681276	−	0.155497i
$890$	11.0714	+	8.82915i	0.371114	+	0.295954i
$891$	−41.8624	−	9.55482i	−1.40244	−	0.320098i
$892$	−3.97462	+	1.91407i	−0.133080	+	0.0640879i
$893$	10.0122	+	12.5549i	0.335047	+	0.420135i
$894$	−0.913233	−	1.89635i	−0.0305431	−	0.0634234i
$895$	−40.5807	−	32.3620i	−1.35646	−	1.08174i
$896$			52.6221i			1.75798i
$897$	3.94466			0.131708
$898$	−39.6296	−	31.6035i	−1.32246	−	1.05462i
$899$	3.78401	+	1.82228i	0.126204	+	0.0607766i
$900$	0.196868	+	0.862536i	0.00656227	+	0.0287512i
$901$	−8.74183	−	0.613451i	−0.291233	−	0.0204370i
$902$	31.3950			1.04534
$903$	−0.0210174	+	1.33058i	−0.000699416	+	0.0442788i
$904$		−	6.98274i		−	0.232243i
$905$	3.43719	−	15.0593i	0.114256	−	0.500588i
$906$	5.81743	−	1.32779i	0.193271	−	0.0441129i
$907$	−11.8837	+	24.6768i	−0.394592	+	0.819379i	0.605137	+	0.796121i	$0.293118\pi$
$907$	−11.8837	+	24.6768i	−0.394592	+	0.819379i	−0.999730	+	0.0232578i	$0.992596\pi$
$908$	−53.1693	−	42.4011i	−1.76448	−	1.40713i
$909$	−39.9707			−1.32575
$910$	−29.0140			−0.961804
$911$	−11.3330	−	9.03773i	−0.375478	−	0.299433i	0.417509	−	0.908673i	$-0.362903\pi$
$911$	−11.3330	−	9.03773i	−0.375478	−	0.299433i	−0.792986	+	0.609240i	$0.791475\pi$
$912$	−5.62928	−	11.6893i	−0.186404	−	0.387072i
$913$	−55.7636	+	44.4700i	−1.84551	+	1.47174i
$914$	−19.2909	+	9.29002i	−0.638087	+	0.307286i
$915$	1.33834	+	0.305468i	0.0442442	+	0.0100985i
$916$	−39.1698	+	49.1174i	−1.29421	+	1.62288i
$917$	−3.39812	+	14.8881i	−0.112216	+	0.491650i
$918$	9.92623	+	3.01038i	0.327614	+	0.0993573i
$919$	16.6238	+	20.8456i	0.548369	+	0.687632i	0.976360	−	0.216150i	$-0.0693501\pi$
$919$	16.6238	+	20.8456i	0.548369	+	0.687632i	−0.427992	+	0.903783i	$0.640779\pi$
$920$	−96.0387	−	120.429i	−3.16630	−	3.97042i
$921$	−3.54679	+	0.809531i	−0.116871	+	0.0266750i
$922$	13.1032	+	6.31019i	0.431532	+	0.207815i
$923$	16.3408	+	33.9321i	0.537865	+	1.11689i
$924$	5.30695	−	1.21128i	0.174586	−	0.0398481i
$925$	0.452295	−	0.103233i	0.0148714	−	0.00339429i
$926$	53.1653	−	25.6030i	1.74712	−	0.841368i
$927$	−32.1968	−	15.5052i	−1.05748	−	0.509256i
$928$	−192.231	+	43.8755i	−6.31029	+	1.44028i
$929$	−21.7593	+	17.3525i	−0.713900	+	0.569316i	−0.911666	−	0.410933i	$-0.865203\pi$
$929$	−21.7593	+	17.3525i	−0.713900	+	0.569316i	0.197765	+	0.980249i	$0.436632\pi$
$930$	−0.352662	+	0.281239i	−0.0115643	+	0.00922218i
$931$	26.3720	+	12.7001i	0.864308	+	0.416229i
$932$	25.3485	+	5.78563i	0.830318	+	0.189515i
$933$	−0.821434	+	1.03005i	−0.0268926	+	0.0337222i
$934$	−3.50755	+	15.3676i	−0.114770	+	0.502842i
$935$	25.6914	+	37.3012i	0.840199	+	1.21988i
$936$	−63.3437	−	79.4304i	−2.07045	−	2.59626i
$937$	−37.3790	+	18.0008i	−1.22112	+	0.588060i	−0.929623	−	0.368513i	$-0.879867\pi$
$937$	−37.3790	+	18.0008i	−1.22112	+	0.588060i	−0.291495	+	0.956572i	$0.594153\pi$
$938$	−7.05437	−	5.62567i	−0.230333	−	0.183685i
$939$	3.89341			0.127057
$940$			35.6088i			1.16143i
$941$	38.1092	+	30.3911i	1.24232	+	0.990720i	0.999788	+	0.0205776i	$0.00655051\pi$
$941$	38.1092	+	30.3911i	1.24232	+	0.990720i	0.242535	+	0.970143i	$0.422021\pi$
$942$	−2.14304	+	4.45008i	−0.0698241	+	0.144991i
$943$	3.74825	+	16.4222i	0.122060	+	0.534779i
$944$	6.52362	−	28.5819i	0.212326	−	0.930260i
$945$		−	2.72659i		−	0.0886958i
$946$	−87.6772	−	1.38492i	−2.85063	−	0.0450278i
$947$			21.1931i			0.688684i	0.938844	+	0.344342i	$0.111898\pi$
$947$			21.1931i			0.688684i	−0.938844	+	0.344342i	$0.888102\pi$
$948$	1.03243	−	4.52339i	0.0335319	−	0.146913i
$949$	44.0960	−	10.0646i	1.43142	−	0.326711i
$950$	−0.743066	−	0.357842i	−0.0241082	−	0.0116099i
$951$	−0.485899	+	0.609298i	−0.0157563	+	0.0197578i
$952$	51.3306	−	7.98587i	1.66363	−	0.258824i
$953$	−31.9140			−1.03380			−0.516898	−	0.856047i	$-0.672913\pi$
$953$	−31.9140			−1.03380			−0.516898	+	0.856047i	$0.672913\pi$
$954$	−10.7940	+	13.5353i	−0.349469	+	0.438220i
$955$	−8.80026	−	18.2739i	−0.284770	−	0.591330i
$956$	−79.4470	−	99.6233i	−2.56950	−	3.22205i
$957$	2.87349	+	5.96686i	0.0928867	+	0.192881i
$958$	10.9835	+	2.50690i	0.354859	+	0.0809943i
$959$	8.72253	+	6.95599i	0.281665	+	0.224621i
$960$	2.37982	−	10.4267i	0.0768083	−	0.336519i
$961$	−27.7253	−	13.3518i	−0.894366	−	0.430704i
$962$	−65.5241	+	52.2537i	−2.11258	+	1.68473i
$963$	−20.3799	+	16.2524i	−0.656734	+	0.523728i
$964$	87.1172	−	19.8839i	2.80586	−	0.640418i
$965$	12.0980	+	5.82611i	0.389450	+	0.187549i
$966$	1.72887	+	3.59004i	0.0556255	+	0.115508i
$967$	−7.38199	−	32.3426i	−0.237389	−	1.04007i	−0.943345	−	0.331813i	$-0.892340\pi$
$967$	−7.38199	−	32.3426i	−0.237389	−	1.04007i	0.705956	−	0.708255i	$-0.250517\pi$
$968$	27.3614	+	119.878i	0.879429	+	3.85303i
$969$	−2.90687	+	2.00212i	−0.0933820	+	0.0643173i
$970$	54.0519	+	26.0300i	1.73550	+	0.835774i
$971$	−0.670952	−	2.93963i	−0.0215319	−	0.0943373i	0.963020	−	0.269429i	$-0.0868349\pi$
$971$	−0.670952	−	2.93963i	−0.0215319	−	0.0943373i	−0.984552	+	0.175092i	$0.943978\pi$
$972$	17.6373	−	14.0653i	0.565717	−	0.451144i
$973$	−2.74830	−	3.44626i	−0.0881064	−	0.110482i
$974$	8.08699	−	16.7928i	0.259124	−	0.538076i
$975$	0.0290247	+	0.00662470i	0.000929535	+	0.000212160i
$976$	47.0384	+	37.5119i	1.50566	+	1.20073i
$977$	10.5657	−	46.2916i	0.338028	−	1.48100i	−0.465135	−	0.885240i	$-0.653994\pi$
$977$	10.5657	−	46.2916i	0.338028	−	1.48100i	0.803164	−	0.595759i	$-0.203148\pi$
$978$	−8.94433	+	4.30736i	−0.286008	+	0.137734i
$979$	8.79290	−	7.01211i	0.281022	−	0.224108i
$980$	28.1619	+	58.4789i	0.899600	+	1.86804i
$981$	21.4102	+	17.0741i	0.683577	+	0.545134i
$982$	101.367			3.23475
$983$		−	11.5305i		−	0.367766i	−0.982948	−	0.183883i	$-0.941133\pi$
$983$		−	11.5305i		−	0.367766i	0.982948	−	0.183883i	$-0.0588668\pi$
$984$	−2.15019	+	2.69626i	−0.0685457	+	0.0859536i
$985$	−6.86621	−	3.30659i	−0.218776	−	0.105357i
$986$	36.7629	+	92.3804i	1.17077	+	2.94199i
$987$	0.130296	−	0.570864i	0.00414736	−	0.0181708i
$988$	109.203			3.47422
$989$	−9.74334	−	46.0276i	−0.309820	−	1.46359i
$990$	89.4773			2.84378
$991$	27.3439	+	6.24107i	0.868608	+	0.198254i	0.633526	−	0.773721i	$-0.281607\pi$
$991$	27.3439	+	6.24107i	0.868608	+	0.198254i	0.235082	+	0.971976i	$0.424464\pi$
$992$	−10.3983	+	2.37335i	−0.330147	+	0.0753538i
$993$	−0.159074	+	0.330320i	−0.00504806	+	0.0104824i
$994$	−23.7198	+	29.7437i	−0.752345	+	0.943411i
$995$	−56.0443			−1.77672
$996$		−	12.3252i		−	0.390540i
$997$	37.1043	+	29.5897i	1.17511	+	0.937116i	0.998884	−	0.0472344i	$-0.0150408\pi$
$997$	37.1043	+	29.5897i	1.17511	+	0.937116i	0.176222	+	0.984350i	$0.443612\pi$
$998$	−14.5282	−	30.1681i	−0.459882	−	0.954954i
$999$	−4.91054	−	6.15762i	−0.155362	−	0.194818i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.p.a.594.1	yes	384
17.16	even	2	inner	731.2.p.a.594.2	yes	384
43.16	even	7	inner	731.2.p.a.16.2	yes	384
731.16	even	14	inner	731.2.p.a.16.1	✓	384

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.p.a.16.1	✓	384	731.16	even	14	inner
731.2.p.a.16.2	yes	384	43.16	even	7	inner
731.2.p.a.594.1	yes	384	1.1	even	1	trivial
731.2.p.a.594.2	yes	384	17.16	even	2	inner

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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:	\( N \)	\(=\)	\( 731 = 17 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	731.p (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.608972 + 2.66808i) q^{2} +(-0.149961 + 0.0342275i) q^{3} +(-4.94587 - 2.38180i) q^{4} +(-1.75767 - 1.40169i) q^{5} -0.420950i q^{6} +1.31934i q^{7} +(5.95414 - 7.46625i) q^{8} +(-2.68159 + 1.29139i) q^{9} +O(q^{10})\)	\(q+(-0.608972 + 2.66808i) q^{2} +(-0.149961 + 0.0342275i) q^{3} +(-4.94587 - 2.38180i) q^{4} +(-1.75767 - 1.40169i) q^{5} -0.420950i q^{6} +1.31934i q^{7} +(5.95414 - 7.46625i) q^{8} +(-2.68159 + 1.29139i) q^{9} +(4.81020 - 3.83601i) q^{10} +(-2.12009 - 4.40240i) q^{11} +(0.823208 + 0.187892i) q^{12} +(-2.22859 + 2.79457i) q^{13} +(-3.52009 - 0.803438i) q^{14} +(0.311558 + 0.150038i) q^{15} +(9.44936 + 11.8491i) q^{16} +(2.79006 - 3.03571i) q^{17} +(-1.81251 - 7.94111i) q^{18} +(5.01431 + 2.41476i) q^{19} +(5.35464 + 11.1190i) q^{20} +(-0.0451576 - 0.197848i) q^{21} +(13.0370 - 2.97562i) q^{22} +(3.11298 + 6.46417i) q^{23} +(-0.637334 + 1.32344i) q^{24} +(0.0120493 + 0.0527913i) q^{25} +(-6.09898 - 7.64788i) q^{26} +(0.718709 - 0.573151i) q^{27} +(3.14240 - 6.52526i) q^{28} +(8.59061 + 1.96075i) q^{29} +(-0.590044 + 0.739892i) q^{30} +(0.464690 + 0.106062i) q^{31} +(-20.1609 + 9.70896i) q^{32} +(0.468613 + 0.587622i) q^{33} +(6.40045 + 9.29278i) q^{34} +(1.84931 - 2.31896i) q^{35} +16.3386 q^{36} -8.56761i q^{37} +(-9.49636 + 11.9081i) q^{38} +(0.238550 - 0.495354i) q^{39} +(-20.9308 + 4.77732i) q^{40} +(2.28890 + 0.522427i) q^{41} +0.555375 q^{42} +(-6.36919 - 1.55996i) q^{43} +26.8233i q^{44} +(6.52348 + 1.48894i) q^{45} +(-19.1427 + 4.36919i) q^{46} +(2.59962 + 1.25191i) q^{47} +(-1.82260 - 1.45347i) q^{48} +5.25935 q^{49} -0.148189 q^{50} +(-0.314495 + 0.550734i) q^{51} +(17.6785 - 8.51349i) q^{52} +(-1.32518 - 1.66172i) q^{53} +(1.09154 + 2.26661i) q^{54} +(-2.44442 + 10.7097i) q^{55} +(9.85049 + 7.85551i) q^{56} +(-0.834600 - 0.190492i) q^{57} +(-10.4629 + 21.7264i) q^{58} +(-1.20607 - 1.51237i) q^{59} +(-1.18356 - 1.48414i) q^{60} +(3.87025 - 0.883358i) q^{61} +(-0.565966 + 1.17524i) q^{62} +(-1.70377 - 3.53792i) q^{63} +(-6.88201 - 30.1521i) q^{64} +(7.83426 - 1.78812i) q^{65} +(-1.85319 + 0.892451i) q^{66} +(2.25150 + 1.08427i) q^{67} +(-21.0298 + 8.36883i) q^{68} +(-0.688077 - 0.862821i) q^{69} +(5.06099 + 6.34628i) q^{70} +(4.57165 - 9.49312i) q^{71} +(-6.32474 + 27.7105i) q^{72} +(-9.89322 - 7.88958i) q^{73} +(22.8591 + 5.21743i) q^{74} +(-0.00361383 - 0.00750419i) q^{75} +(-19.0486 - 23.8862i) q^{76} +(5.80825 - 2.79711i) q^{77} +(1.17637 + 0.938128i) q^{78} -5.49483i q^{79} -34.0720i q^{80} +(5.47899 - 6.87044i) q^{81} +(-2.78775 + 5.78883i) q^{82} +(-3.24809 - 14.2308i) q^{83} +(-0.247893 + 1.08609i) q^{84} +(-9.15915 + 1.42496i) q^{85} +(8.04074 - 16.0435i) q^{86} -1.35536 q^{87} +(-45.4927 - 10.3834i) q^{88} +(0.512165 + 2.24394i) q^{89} +(-7.94523 + 16.4984i) q^{90} +(-3.68698 - 2.94026i) q^{91} -39.3855i q^{92} -0.0733154 q^{93} +(-4.92329 + 6.17361i) q^{94} +(-5.42874 - 11.2729i) q^{95} +(2.69102 - 2.14602i) q^{96} +(4.23082 + 8.78538i) q^{97} +(-3.20280 + 14.0324i) q^{98} +(11.3704 + 9.06759i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 384 q - 12 q^{2} - 72 q^{4} - 8 q^{8} + 62 q^{9}+O(q^{10}) \) 384 * q - 12 * q^2 - 72 * q^4 - 8 * q^8 + 62 * q^9	\( 384 q - 12 q^{2} - 72 q^{4} - 8 q^{8} + 62 q^{9} - 18 q^{13} - 12 q^{15} - 20 q^{16} - 14 q^{17} + 30 q^{18} + 8 q^{19} + 20 q^{21} + 46 q^{25} + 2 q^{26} - 30 q^{30} + 50 q^{32} - 90 q^{33} + 8 q^{34} + 52 q^{35} - 328 q^{36} - 46 q^{38} + 184 q^{42} + 60 q^{43} - 2 q^{47} - 340 q^{49} - 172 q^{50} - 68 q^{51} + 38 q^{52} - 8 q^{53} - 28 q^{55} + 10 q^{59} + 58 q^{60} - 44 q^{64} + 90 q^{66} - 104 q^{67} + 60 q^{68} - 2 q^{69} + 40 q^{70} - 164 q^{72} - 72 q^{76} + 94 q^{77} + 120 q^{81} - 66 q^{83} + 112 q^{84} - 96 q^{85} - 136 q^{86} + 72 q^{87} - 6 q^{89} - 220 q^{93} - 142 q^{94} + 124 q^{98}+O(q^{100}) \) 384 * q - 12 * q^2 - 72 * q^4 - 8 * q^8 + 62 * q^9 - 18 * q^13 - 12 * q^15 - 20 * q^16 - 14 * q^17 + 30 * q^18 + 8 * q^19 + 20 * q^21 + 46 * q^25 + 2 * q^26 - 30 * q^30 + 50 * q^32 - 90 * q^33 + 8 * q^34 + 52 * q^35 - 328 * q^36 - 46 * q^38 + 184 * q^42 + 60 * q^43 - 2 * q^47 - 340 * q^49 - 172 * q^50 - 68 * q^51 + 38 * q^52 - 8 * q^53 - 28 * q^55 + 10 * q^59 + 58 * q^60 - 44 * q^64 + 90 * q^66 - 104 * q^67 + 60 * q^68 - 2 * q^69 + 40 * q^70 - 164 * q^72 - 72 * q^76 + 94 * q^77 + 120 * q^81 - 66 * q^83 + 112 * q^84 - 96 * q^85 - 136 * q^86 + 72 * q^87 - 6 * q^89 - 220 * q^93 - 142 * q^94 + 124 * q^98

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