LMFDB - Embedded newform 273.2.br.b.17.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(17,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 1, 1]))

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

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

chi := DirichletCharacter("273.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.br (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$32$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			17.6
Character	$\chi$	$=$	273.17
Dual form			273.2.br.b.257.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-1.97083 q^{2} +(1.69172 - 0.371591i) q^{3} +1.88419 q^{4} +(0.0906165 - 0.0523174i) q^{5} +(-3.33410 + 0.732343i) q^{6} +(-2.05714 - 1.66379i) q^{7} +0.228249 q^{8} +(2.72384 - 1.25726i) q^{9} +O(q^{10})$	\(q-1.97083 q^{2} +(1.69172 - 0.371591i) q^{3} +1.88419 q^{4} +(0.0906165 - 0.0523174i) q^{5} +(-3.33410 + 0.732343i) q^{6} +(-2.05714 - 1.66379i) q^{7} +0.228249 q^{8} +(2.72384 - 1.25726i) q^{9} +(-0.178590 + 0.103109i) q^{10} +(-2.87085 - 4.97245i) q^{11} +(3.18752 - 0.700146i) q^{12} +(3.31340 + 1.42176i) q^{13} +(4.05428 + 3.27905i) q^{14} +(0.133857 - 0.122179i) q^{15} -4.21821 q^{16} +1.93052 q^{17} +(-5.36824 + 2.47784i) q^{18} +(-0.139123 + 0.240968i) q^{19} +(0.170738 - 0.0985758i) q^{20} +(-4.09835 - 2.05025i) q^{21} +(5.65796 + 9.79988i) q^{22} -7.40949i q^{23} +(0.386133 - 0.0848151i) q^{24} +(-2.49453 + 4.32065i) q^{25} +(-6.53016 - 2.80204i) q^{26} +(4.14079 - 3.13908i) q^{27} +(-3.87603 - 3.13488i) q^{28} +(3.16433 + 1.82693i) q^{29} +(-0.263810 + 0.240794i) q^{30} +(4.20000 - 7.27462i) q^{31} +7.85690 q^{32} +(-6.70439 - 7.34522i) q^{33} -3.80473 q^{34} +(-0.273456 - 0.0431423i) q^{35} +(5.13222 - 2.36890i) q^{36} -5.26461i q^{37} +(0.274188 - 0.474907i) q^{38} +(6.13366 + 1.17399i) q^{39} +(0.0206831 - 0.0119414i) q^{40} +(3.69487 + 2.13323i) q^{41} +(8.07717 + 4.04070i) q^{42} +(-2.47429 - 4.28560i) q^{43} +(-5.40921 - 9.36903i) q^{44} +(0.181048 - 0.256432i) q^{45} +14.6029i q^{46} +(-5.62823 + 3.24946i) q^{47} +(-7.13604 + 1.56745i) q^{48} +(1.46363 + 6.84528i) q^{49} +(4.91630 - 8.51527i) q^{50} +(3.26590 - 0.717362i) q^{51} +(6.24306 + 2.67885i) q^{52} +(-2.35258 - 1.35826i) q^{53} +(-8.16082 + 6.18660i) q^{54} +(-0.520292 - 0.300391i) q^{55} +(-0.469539 - 0.379757i) q^{56} +(-0.145816 + 0.459347i) q^{57} +(-6.23638 - 3.60057i) q^{58} +11.4540i q^{59} +(0.252212 - 0.230208i) q^{60} +(4.47653 + 2.58452i) q^{61} +(-8.27751 + 14.3371i) q^{62} +(-7.69512 - 1.94554i) q^{63} -7.04822 q^{64} +(0.374631 - 0.0445140i) q^{65} +(13.2132 + 14.4762i) q^{66} +(-5.11505 + 2.95317i) q^{67} +3.63745 q^{68} +(-2.75330 - 12.5348i) q^{69} +(0.538936 + 0.0850263i) q^{70} +(5.59233 + 9.68619i) q^{71} +(0.621714 - 0.286967i) q^{72} +(-5.41439 + 9.37800i) q^{73} +10.3757i q^{74} +(-2.61453 + 8.23627i) q^{75} +(-0.262133 + 0.454028i) q^{76} +(-2.36737 + 15.0055i) q^{77} +(-12.0884 - 2.31373i) q^{78} +(5.46274 + 9.46175i) q^{79} +(-0.382240 + 0.220686i) q^{80} +(5.83862 - 6.84913i) q^{81} +(-7.28197 - 4.20425i) q^{82} +10.5643i q^{83} +(-7.72206 - 3.86305i) q^{84} +(0.174937 - 0.101000i) q^{85} +(4.87642 + 8.44620i) q^{86} +(6.03204 + 1.91482i) q^{87} +(-0.655268 - 1.13496i) q^{88} -10.7345i q^{89} +(-0.356816 + 0.505386i) q^{90} +(-4.45062 - 8.43754i) q^{91} -13.9609i q^{92} +(4.40205 - 13.8673i) q^{93} +(11.0923 - 6.40415i) q^{94} +0.0291142i q^{95} +(13.2917 - 2.91955i) q^{96} +(-3.72844 - 6.45784i) q^{97} +(-2.88457 - 13.4909i) q^{98} +(-14.0714 - 9.93478i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 6 q^{3} + 56 q^{4} - 6 q^{7}+O(q^{10}) $ 64 * q - 6 * q^3 + 56 * q^4 - 6 * q^7	$ 64 q - 6 q^{3} + 56 q^{4} - 6 q^{7} - 6 q^{10} - 6 q^{12} - 12 q^{13} - 9 q^{15} + 16 q^{16} - 36 q^{18} - 12 q^{21} - 18 q^{22} - 12 q^{24} + 16 q^{25} + 18 q^{28} - 22 q^{30} + 36 q^{31} - 15 q^{33} - 24 q^{34} - 4 q^{36} - 9 q^{39} - 54 q^{40} + 39 q^{42} - 12 q^{43} - 6 q^{45} - 54 q^{48} + 2 q^{49} - 14 q^{51} - 48 q^{52} + 18 q^{54} + 42 q^{55} + 30 q^{58} - 9 q^{60} + 6 q^{61} + 3 q^{63} - 28 q^{64} - 9 q^{66} + 48 q^{67} - 39 q^{69} - 84 q^{70} - 123 q^{72} - 12 q^{73} + 18 q^{76} - 11 q^{78} + 4 q^{79} - 66 q^{82} + 27 q^{84} - 30 q^{85} - 30 q^{88} + 130 q^{91} + 84 q^{94} - 24 q^{96} - 12 q^{97}+O(q^{100}) $ 64 * q - 6 * q^3 + 56 * q^4 - 6 * q^7 - 6 * q^10 - 6 * q^12 - 12 * q^13 - 9 * q^15 + 16 * q^16 - 36 * q^18 - 12 * q^21 - 18 * q^22 - 12 * q^24 + 16 * q^25 + 18 * q^28 - 22 * q^30 + 36 * q^31 - 15 * q^33 - 24 * q^34 - 4 * q^36 - 9 * q^39 - 54 * q^40 + 39 * q^42 - 12 * q^43 - 6 * q^45 - 54 * q^48 + 2 * q^49 - 14 * q^51 - 48 * q^52 + 18 * q^54 + 42 * q^55 + 30 * q^58 - 9 * q^60 + 6 * q^61 + 3 * q^63 - 28 * q^64 - 9 * q^66 + 48 * q^67 - 39 * q^69 - 84 * q^70 - 123 * q^72 - 12 * q^73 + 18 * q^76 - 11 * q^78 + 4 * q^79 - 66 * q^82 + 27 * q^84 - 30 * q^85 - 30 * q^88 + 130 * q^91 + 84 * q^94 - 24 * q^96 - 12 * q^97

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−1.97083			−1.39359			−0.696795	−	0.717270i	$-0.745391\pi$
$2$	−1.97083			−1.39359			−0.696795	+	0.717270i	$0.745391\pi$
$3$	1.69172	−	0.371591i	0.976716	−	0.214538i
$3$	1.69172	−	0.371591i	0.976716	−	0.214538i
$4$	1.88419			0.942093
$5$	0.0906165	−	0.0523174i	0.0405249	−	0.0233971i	−0.479601	−	0.877487i	$-0.659218\pi$
$5$	0.0906165	−	0.0523174i	0.0405249	−	0.0233971i	0.520126	+	0.854090i	$0.325885\pi$
$6$	−3.33410	+	0.732343i	−1.36114	+	0.298978i
$7$	−2.05714	−	1.66379i	−0.777525	−	0.628852i
$7$	−2.05714	−	1.66379i	−0.777525	−	0.628852i
$8$	0.228249			0.0806982
$9$	2.72384	−	1.25726i	0.907947	−	0.419085i
$10$	−0.178590	+	0.103109i	−0.0564751	+	0.0326059i
$11$	−2.87085	−	4.97245i	−0.865593	−	1.49925i	−0.866457	−	0.499251i	$-0.833609\pi$
$11$	−2.87085	−	4.97245i	−0.865593	−	1.49925i	0.000864517	−	1.00000i	$-0.499725\pi$
$12$	3.18752	−	0.700146i	0.920157	−	0.202115i
$13$	3.31340	+	1.42176i	0.918971	+	0.394324i
$13$	3.31340	+	1.42176i	0.918971	+	0.394324i
$14$	4.05428	+	3.27905i	1.08355	+	0.876362i
$15$	0.133857	−	0.122179i	0.0345618	−	0.0315464i
$16$	−4.21821			−1.05455
$17$	1.93052			0.468219			0.234110	−	0.972210i	$-0.424783\pi$
$17$	1.93052			0.468219			0.234110	+	0.972210i	$0.424783\pi$
$18$	−5.36824	+	2.47784i	−1.26531	+	0.584033i
$19$	−0.139123	+	0.240968i	−0.0319169	+	0.0552818i	−0.881543	−	0.472104i	$-0.843495\pi$
$19$	−0.139123	+	0.240968i	−0.0319169	+	0.0552818i	0.849626	+	0.527386i	$0.176828\pi$
$20$	0.170738	−	0.0985758i	0.0381783	−	0.0220422i
$21$	−4.09835	−	2.05025i	−0.894333	−	0.447401i
$22$	5.65796	+	9.79988i	1.20628	+	2.08934i
$23$		−	7.40949i		−	1.54499i	−0.635023	−	0.772493i	$-0.719009\pi$
$23$		−	7.40949i		−	1.54499i	0.635023	−	0.772493i	$-0.280991\pi$
$24$	0.386133	−	0.0848151i	0.0788192	−	0.0173128i
$25$	−2.49453	+	4.32065i	−0.498905	+	0.864129i
$26$	−6.53016	−	2.80204i	−1.28067	−	0.549526i
$27$	4.14079	−	3.13908i	0.796896	−	0.604116i
$28$	−3.87603	−	3.13488i	−0.732501	−	0.592438i
$29$	3.16433	+	1.82693i	0.587602	+	0.339252i	0.764149	−	0.645040i	$-0.223159\pi$
$29$	3.16433	+	1.82693i	0.587602	+	0.339252i	−0.176547	+	0.984292i	$0.556493\pi$
$30$	−0.263810	+	0.240794i	−0.0481649	+	0.0439628i
$31$	4.20000	−	7.27462i	0.754343	−	1.30656i	−0.191358	−	0.981520i	$-0.561289\pi$
$31$	4.20000	−	7.27462i	0.754343	−	1.30656i	0.945700	−	0.325040i	$-0.105378\pi$
$32$	7.85690			1.38892
$33$	−6.70439	−	7.34522i	−1.16708	−	1.27864i
$34$	−3.80473			−0.652506
$35$	−0.273456	−	0.0431423i	−0.0462224	−	0.00729238i
$36$	5.13222	−	2.36890i	0.855371	−	0.394817i
$37$		−	5.26461i		−	0.865496i	−0.901515	−	0.432748i	$-0.857544\pi$
$37$		−	5.26461i		−	0.865496i	0.901515	−	0.432748i	$-0.142456\pi$
$38$	0.274188	−	0.474907i	0.0444791	−	0.0770401i
$39$	6.13366	+	1.17399i	0.982171	+	0.187988i
$40$	0.0206831	−	0.0119414i	0.00327029	−	0.00188810i
$41$	3.69487	+	2.13323i	0.577041	+	0.333155i	0.759957	−	0.649974i	$-0.225220\pi$
$41$	3.69487	+	2.13323i	0.577041	+	0.333155i	−0.182916	+	0.983129i	$0.558553\pi$
$42$	8.07717	+	4.04070i	1.24633	+	0.623494i
$43$	−2.47429	−	4.28560i	−0.377326	−	0.653547i	0.613346	−	0.789814i	$-0.289823\pi$
$43$	−2.47429	−	4.28560i	−0.377326	−	0.653547i	−0.990672	+	0.136267i	$0.956490\pi$
$44$	−5.40921	−	9.36903i	−0.815469	−	1.41243i
$45$	0.181048	−	0.256432i	0.0269891	−	0.0382267i
$46$			14.6029i			2.15308i
$47$	−5.62823	+	3.24946i	−0.820962	+	0.473983i	−0.850748	−	0.525574i	$-0.823851\pi$
$47$	−5.62823	+	3.24946i	−0.820962	+	0.473983i	0.0297859	+	0.999556i	$0.490517\pi$
$48$	−7.13604	+	1.56745i	−1.03000	+	0.226242i
$49$	1.46363	+	6.84528i	0.209090	+	0.977896i
$50$	4.91630	−	8.51527i	0.695269	−	1.20424i
$51$	3.26590	−	0.717362i	0.457317	−	0.100451i
$52$	6.24306	+	2.67885i	0.865757	+	0.371490i
$53$	−2.35258	−	1.35826i	−0.323152	−	0.186572i	0.329645	−	0.944105i	$-0.393071\pi$
$53$	−2.35258	−	1.35826i	−0.323152	−	0.186572i	−0.652797	+	0.757533i	$0.726404\pi$
$54$	−8.16082	+	6.18660i	−1.11055	+	0.841890i
$55$	−0.520292	−	0.300391i	−0.0701562	−	0.0405047i
$56$	−0.469539	−	0.379757i	−0.0627448	−	0.0507472i
$57$	−0.145816	+	0.459347i	−0.0193137	+	0.0608420i
$58$	−6.23638	−	3.60057i	−0.818877	−	0.472779i
$59$			11.4540i			1.49118i	0.666405	+	0.745590i	$0.267832\pi$
$59$			11.4540i			1.49118i	−0.666405	+	0.745590i	$0.732168\pi$
$60$	0.252212	−	0.230208i	0.0325604	−	0.0297197i
$61$	4.47653	+	2.58452i	0.573161	+	0.330914i	0.758411	−	0.651777i	$-0.225976\pi$
$61$	4.47653	+	2.58452i	0.573161	+	0.330914i	−0.185250	+	0.982691i	$0.559309\pi$
$62$	−8.27751	+	14.3371i	−1.05124	+	1.82081i
$63$	−7.69512	−	1.94554i	−0.969494	−	0.245115i
$64$	−7.04822			−0.881028
$65$	0.374631	−	0.0445140i	0.0464673	−	0.00552129i
$66$	13.2132	+	14.4762i	1.62644	+	1.78190i
$67$	−5.11505	+	2.95317i	−0.624903	+	0.360788i	−0.778775	−	0.627303i	$-0.784159\pi$
$67$	−5.11505	+	2.95317i	−0.624903	+	0.360788i	0.153873	+	0.988091i	$0.450825\pi$
$68$	3.63745			0.441106
$69$	−2.75330	−	12.5348i	−0.331458	−	1.50901i
$70$	0.538936	+	0.0850263i	0.0644151	+	0.0101626i
$71$	5.59233	+	9.68619i	0.663687	+	1.14954i	0.979640	+	0.200764i	$0.0643426\pi$
$71$	5.59233	+	9.68619i	0.663687	+	1.14954i	−0.315953	+	0.948775i	$0.602324\pi$
$72$	0.621714	−	0.286967i	0.0732697	−	0.0338194i
$73$	−5.41439	+	9.37800i	−0.633706	+	1.09761i	0.353081	+	0.935593i	$0.385134\pi$
$73$	−5.41439	+	9.37800i	−0.633706	+	1.09761i	−0.986788	+	0.162019i	$0.948199\pi$
$74$			10.3757i			1.20615i
$75$	−2.61453	+	8.23627i	−0.301900	+	0.951042i
$76$	−0.262133	+	0.454028i	−0.0300687	+	0.0520806i
$77$	−2.36737	+	15.0055i	−0.269787	+	1.71003i
$78$	−12.0884	−	2.31373i	−1.36874	−	0.261979i
$79$	5.46274	+	9.46175i	0.614607	+	1.06453i	0.990453	+	0.137848i	$0.0440185\pi$
$79$	5.46274	+	9.46175i	0.614607	+	1.06453i	−0.375847	+	0.926682i	$0.622648\pi$
$80$	−0.382240	+	0.220686i	−0.0427357	+	0.0246735i
$81$	5.83862	−	6.84913i	0.648735	−	0.761014i
$82$	−7.28197	−	4.20425i	−0.804159	−	0.464281i
$83$			10.5643i			1.15958i	0.814765	+	0.579791i	$0.196866\pi$
$83$			10.5643i			1.15958i	−0.814765	+	0.579791i	$0.803134\pi$
$84$	−7.72206	−	3.86305i	−0.842545	−	0.421494i
$85$	0.174937	−	0.101000i	0.0189745	−	0.0109550i
$86$	4.87642	+	8.44620i	0.525837	+	0.910777i
$87$	6.03204	+	1.91482i	0.646703	+	0.205290i
$88$	−0.655268	−	1.13496i	−0.0698518	−	0.120987i
$89$		−	10.7345i		−	1.13786i	−0.822386	−	0.568929i	$-0.807358\pi$
$89$		−	10.7345i		−	1.13786i	0.822386	−	0.568929i	$-0.192642\pi$
$90$	−0.356816	+	0.505386i	−0.0376118	+	0.0532723i
$91$	−4.45062	−	8.43754i	−0.466551	−	0.884494i
$92$		−	13.9609i		−	1.45552i
$93$	4.40205	−	13.8673i	0.456472	−	1.43797i
$94$	11.0923	−	6.40415i	1.14408	−	0.660538i
$95$			0.0291142i			0.00298705i
$96$	13.2917	−	2.91955i	1.35658	−	0.297975i
$97$	−3.72844	−	6.45784i	−0.378565	−	0.655695i	0.612288	−	0.790635i	$-0.290249\pi$
$97$	−3.72844	−	6.45784i	−0.378565	−	0.655695i	−0.990854	+	0.134940i	$0.956916\pi$
$98$	−2.88457	−	13.4909i	−0.291385	−	1.36279i
$99$	−14.0714	−	9.93478i	−1.41423	−	0.998483i
$100$	−4.70015	+	8.14090i	−0.470015	+	0.814090i
$101$	−3.73555	−	6.47017i	−0.371702	−	0.643806i	0.618126	−	0.786079i	$-0.287892\pi$
$101$	−3.73555	−	6.47017i	−0.371702	−	0.643806i	−0.989827	+	0.142273i	$0.954559\pi$
$102$	−6.43654	+	1.41380i	−0.637312	+	0.139987i
$103$	3.09643	−	1.78773i	0.305100	−	0.176150i	−0.339631	−	0.940559i	$-0.610302\pi$
$103$	3.09643	−	1.78773i	0.305100	−	0.176150i	0.644732	+	0.764409i	$0.276969\pi$
$104$	0.756280	+	0.324514i	0.0741593	+	0.0318212i
$105$	−0.478642	+	0.0286288i	−0.0467107	+	0.00279388i
$106$	4.63655	+	2.67691i	0.450342	+	0.260005i
$107$			3.03871i			0.293763i	0.989154	+	0.146881i	$0.0469236\pi$
$107$			3.03871i			0.293763i	−0.989154	+	0.146881i	$0.953076\pi$
$108$	7.80203	−	5.91461i	0.750751	−	0.569134i
$109$	13.7504	+	7.93878i	1.31705	+	0.760397i	0.983252	−	0.182249i	$-0.0583378\pi$
$109$	13.7504	+	7.93878i	1.31705	+	0.760397i	0.333794	+	0.942646i	$0.391671\pi$
$110$	1.02541	+	0.592020i	0.0977689	+	0.0564469i
$111$	−1.95628	−	8.90625i	−0.185682	−	0.845344i
$112$	8.67745	+	7.01821i	0.819942	+	0.663158i
$113$	−5.14844	+	2.97245i	−0.484324	+	0.279625i	−0.722217	−	0.691667i	$-0.756877\pi$
$113$	−5.14844	+	2.97245i	−0.484324	+	0.279625i	0.237893	+	0.971291i	$0.423543\pi$
$114$	0.287378	−	0.905296i	0.0269154	−	0.0847887i
$115$	−0.387646	−	0.671422i	−0.0361482	−	0.0626104i
$116$	5.96220	+	3.44228i	0.553576	+	0.319607i
$117$	10.8127	−	0.293151i	0.999633	−	0.0271018i
$118$		−	22.5739i		−	2.07809i
$119$	−3.97134	−	3.21197i	−0.364052	−	0.294441i
$120$	0.0305527	−	0.0278872i	0.00278907	−	0.00254574i
$121$	−10.9835	+	19.0240i	−0.998502	+	1.72946i
$122$	−8.82249	−	5.09367i	−0.798751	−	0.461159i
$123$	7.04337	+	2.23586i	0.635079	+	0.201600i
$124$	7.91359	−	13.7067i	0.710661	−	1.23090i
$125$			1.04520i			0.0934858i
$126$	15.1658	+	3.83434i	1.35108	+	0.341590i
$127$	3.81860	−	6.61401i	0.338846	−	0.586899i	−0.645370	−	0.763870i	$-0.723297\pi$
$127$	3.81860	−	6.61401i	0.338846	−	0.586899i	0.984216	+	0.176972i	$0.0566301\pi$
$128$	−1.82293			−0.161126
$129$	−5.77830	−	6.33061i	−0.508751	−	0.557379i
$130$	−0.738336	+	0.0877298i	−0.0647563	+	0.00769441i
$131$	4.60153	+	7.97009i	0.402038	+	0.696350i	0.993972	−	0.109637i	$-0.0349687\pi$
$131$	4.60153	+	7.97009i	0.402038	+	0.696350i	−0.591934	+	0.805986i	$0.701635\pi$
$132$	−12.6323	−	13.8398i	−1.09950	−	1.20460i
$133$	0.687113	−	0.264233i	0.0595803	−	0.0229119i
$134$	10.0809	−	5.82022i	0.870858	−	0.502790i
$135$	0.210996	−	0.501088i	0.0181596	−	0.0431268i
$136$	0.440638			0.0377844
$137$	1.13889			0.0973021			0.0486510	−	0.998816i	$-0.484508\pi$
$137$	1.13889			0.0973021			0.0486510	+	0.998816i	$0.484508\pi$
$138$	5.42629	+	24.7040i	0.461917	+	2.10294i
$139$	0.00428742	−	0.00247534i	0.000363654	−	0.000209956i	−0.499818	−	0.866130i	$-0.666600\pi$
$139$	0.00428742	−	0.00247534i	0.000363654	−	0.000209956i	0.500182	+	0.865920i	$0.333267\pi$
$140$	−0.515241	−	0.0812882i	−0.0435458	−	0.00687010i
$141$	−8.31393	+	7.58858i	−0.700159	+	0.639074i
$142$	−11.0215	−	19.0899i	−0.924907	−	1.60199i
$143$	−2.44265	−	20.5574i	−0.204264	−	1.71909i
$144$	−11.4897	+	5.30337i	−0.957479	+	0.441948i
$145$	0.382321			0.0317500
$146$	10.6709	−	18.4825i	0.883127	−	1.52962i
$147$	5.01969	+	11.0364i	0.414017	+	0.910269i
$148$		−	9.91950i		−	0.815378i
$149$	−4.64566	+	8.04651i	−0.380587	+	0.659196i	−0.991146	−	0.132775i	$-0.957611\pi$
$149$	−4.64566	+	8.04651i	−0.380587	+	0.659196i	0.610559	+	0.791971i	$0.290945\pi$
$150$	5.15281	−	16.2323i	0.420725	−	1.32536i
$151$	5.00795	+	2.89134i	0.407542	+	0.235294i	0.689733	−	0.724064i	$-0.257728\pi$
$151$	5.00795	+	2.89134i	0.407542	+	0.235294i	−0.282191	+	0.959358i	$0.591061\pi$
$152$	−0.0317546	+	0.0550006i	−0.00257564	+	0.00446114i
$153$	5.25842	−	2.42715i	0.425118	−	0.196224i
$154$	4.66570	−	29.5733i	0.375973	−	2.38309i
$155$		−	0.878934i		−	0.0705976i
$156$	11.5570	+	2.21201i	0.925297	+	0.177103i
$157$	−6.38576	−	3.68682i	−0.509639	−	0.294240i	0.223046	−	0.974808i	$-0.428400\pi$
$157$	−6.38576	−	3.68682i	−0.509639	−	0.294240i	−0.732685	+	0.680568i	$0.761733\pi$
$158$	−10.7662	−	18.6475i	−0.856510	−	1.48352i
$159$	−4.48463	−	1.42361i	−0.355655	−	0.112899i
$160$	0.711965	−	0.411053i	0.0562857	−	0.0324966i
$161$	−12.3278	+	15.2423i	−0.971568	+	1.20127i
$162$	−11.5069	+	13.4985i	−0.904071	+	1.06054i
$163$	4.20613	+	2.42841i	0.329450	+	0.190208i	0.655597	−	0.755111i	$-0.272417\pi$
$163$	4.20613	+	2.42841i	0.329450	+	0.190208i	−0.326147	+	0.945319i	$0.605750\pi$
$164$	6.96182	+	4.01941i	0.543627	+	0.313863i
$165$	−0.991811	−	0.314842i	−0.0772124	−	0.0245104i
$166$		−	20.8205i		−	1.61598i
$167$	5.71110	+	3.29730i	0.441938	+	0.255153i	0.704419	−	0.709784i	$-0.251208\pi$
$167$	5.71110	+	3.29730i	0.441938	+	0.255153i	−0.262481	+	0.964937i	$0.584541\pi$
$168$	−0.935444	−	0.467967i	−0.0721711	−	0.0361045i
$169$	8.95722	+	9.42169i	0.689017	+	0.724745i
$170$	−0.344771	+	0.199054i	−0.0264427	+	0.0152667i
$171$	−0.0759903	+	0.831270i	−0.00581112	+	0.0635688i
$172$	−4.66202	−	8.07486i	−0.355476	−	0.615703i
$173$	9.88015	−	17.1129i	0.751174	−	1.30107i	−0.196080	−	0.980588i	$-0.562821\pi$
$173$	9.88015	−	17.1129i	0.751174	−	1.30107i	0.947254	−	0.320484i	$-0.103845\pi$
$174$	−11.8882	−	3.77379i	−0.901239	−	0.286090i
$175$	12.3202	−	4.73780i	0.931321	−	0.358144i
$176$	12.1098	+	20.9749i	0.912814	+	1.58104i
$177$	4.25619	+	19.3769i	0.319915	+	1.45646i
$178$			21.1560i			1.58571i
$179$	0.669027	−	0.386263i	0.0500054	−	0.0288706i	−0.474789	−	0.880100i	$-0.657476\pi$
$179$	0.669027	−	0.386263i	0.0500054	−	0.0288706i	0.524794	+	0.851229i	$0.324142\pi$
$180$	0.341129	−	0.483167i	0.0254263	−	0.0360131i
$181$		−	2.51090i		−	0.186634i	−0.995636	−	0.0933170i	$-0.970253\pi$
$181$		−	2.51090i		−	0.186634i	0.995636	−	0.0933170i	$-0.0297470\pi$
$182$	8.77143	+	16.6290i	0.650181	+	1.23262i
$183$	8.53342	+	2.70886i	0.630809	+	0.200245i
$184$		−	1.69121i		−	0.124678i
$185$	−0.275431	−	0.477060i	−0.0202501	−	0.0350742i
$186$	−8.67572	+	27.3302i	−0.636134	+	2.00394i
$187$	−5.54222	−	9.59940i	−0.405287	−	0.701978i
$188$	−10.6046	+	6.12259i	−0.773423	+	0.446536i
$189$	−13.7409	−	0.431882i	−0.999506	−	0.0314148i
$190$		−	0.0573792i		−	0.00416273i
$191$	−12.8633	−	7.42663i	−0.930755	−	0.537372i	−0.0437049	−	0.999044i	$-0.513916\pi$
$191$	−12.8633	−	7.42663i	−0.930755	−	0.537372i	−0.887050	+	0.461673i	$0.847249\pi$
$192$	−11.9236	+	2.61905i	−0.860513	+	0.189014i
$193$	−11.8119	+	6.81961i	−0.850239	+	0.490886i	−0.860732	−	0.509059i	$-0.829994\pi$
$193$	−11.8119	+	6.81961i	−0.850239	+	0.490886i	0.0104922	+	0.999945i	$0.496660\pi$
$194$	7.34813	+	12.7273i	0.527565	+	0.913769i
$195$	0.617230	−	0.214515i	0.0442008	−	0.0153617i
$196$	2.75775	+	12.8978i	0.196982	+	0.921270i
$197$	1.87416	−	3.24615i	0.133529	−	0.231278i	−0.791506	−	0.611162i	$-0.790703\pi$
$197$	1.87416	−	3.24615i	0.133529	−	0.231278i	0.925034	+	0.379883i	$0.124036\pi$
$198$	27.7323	+	19.5798i	1.97085	+	1.39148i
$199$		−	5.55318i		−	0.393655i	−0.980438	−	0.196827i	$-0.936936\pi$
$199$		−	5.55318i		−	0.393655i	0.980438	−	0.196827i	$-0.0630638\pi$
$200$	−0.569373	+	0.986183i	−0.0402607	+	0.0697336i
$201$	−7.55586	+	6.89665i	−0.532950	+	0.486452i
$202$	7.36216	+	12.7516i	0.518000	+	0.897201i
$203$	−3.46985	−	9.02302i	−0.243536	−	0.633292i
$204$	6.15356	−	1.35164i	0.430835	−	0.0946340i
$205$	0.446421			0.0311794
$206$	−6.10255	+	3.52331i	−0.425185	+	0.245481i
$207$	−9.31563	−	20.1823i	−0.647481	−	1.40277i
$208$	−13.9766	−	5.99727i	−0.969105	−	0.415836i
$209$	1.59760			0.110508
$210$	0.943324	−	0.0564226i	0.0650955	−	0.00389353i
$211$	3.91125	−	6.77449i	0.269262	−	0.466375i	−0.699410	−	0.714721i	$-0.746554\pi$
$211$	3.91125	−	6.77449i	0.269262	−	0.466375i	0.968671	+	0.248346i	$0.0798870\pi$
$212$	−4.43271	−	2.55922i	−0.304439	−	0.175768i
$213$	13.0600	+	14.3083i	0.894853	+	0.980387i
$214$		−	5.98878i		−	0.409385i
$215$	−0.448423	−	0.258897i	−0.0305822	−	0.0176566i
$216$	0.945132	−	0.716491i	0.0643081	−	0.0487511i
$217$	−20.7434	+	7.97698i	−1.40815	+	0.541513i
$218$	−27.0997	−	15.6460i	−1.83542	−	1.05968i
$219$	−5.67486	+	17.8769i	−0.383472	+	1.20801i
$220$	−0.980327	−	0.565992i	−0.0660936	−	0.0381592i
$221$	6.39657	+	2.74472i	0.430280	+	0.184630i
$222$	3.85550	+	17.5527i	0.258764	+	1.17806i
$223$	2.26772	−	3.92781i	0.151858	−	0.263026i	−0.780053	−	0.625714i	$-0.784808\pi$
$223$	2.26772	−	3.92781i	0.151858	−	0.263026i	0.931910	+	0.362688i	$0.118141\pi$
$224$	−16.1627	−	13.0722i	−1.07992	−	0.873424i
$225$	−1.36254	+	14.9050i	−0.0908358	+	0.993667i
$226$	10.1467	−	5.85821i	0.674949	−	0.389682i
$227$		−	10.0133i		−	0.664607i	−0.943172	−	0.332304i	$-0.892174\pi$
$227$		−	10.0133i		−	0.664607i	0.943172	−	0.332304i	$-0.107826\pi$
$228$	−0.274744	+	0.865495i	−0.0181953	+	0.0573188i
$229$	−4.22486	−	7.31767i	−0.279187	−	0.483566i	0.691996	−	0.721901i	$-0.256731\pi$
$229$	−4.22486	−	7.31767i	−0.279187	−	0.483566i	−0.971183	+	0.238336i	$0.923398\pi$
$230$	0.763985	+	1.32326i	0.0503757	+	0.0872533i
$231$	1.57096	+	26.2648i	0.103362	+	1.72810i
$232$	0.722256	+	0.416995i	0.0474184	+	0.0273770i
$233$	−4.11319	+	2.37475i	−0.269464	+	0.155575i	−0.628644	−	0.777693i	$-0.716390\pi$
$233$	−4.11319	+	2.37475i	−0.269464	+	0.155575i	0.359180	+	0.933268i	$0.383056\pi$
$234$	−21.3100	+	0.577752i	−1.39308	+	0.0377689i
$235$	−0.340007	+	0.588910i	−0.0221796	+	0.0384162i
$236$			21.5814i			1.40483i
$237$	12.7573	+	13.9767i	0.828678	+	0.907886i
$238$	7.82685	+	6.33026i	0.507339	+	0.410330i
$239$	1.57680			0.101995			0.0509973	−	0.998699i	$-0.483760\pi$
$239$	1.57680			0.101995			0.0509973	+	0.998699i	$0.483760\pi$
$240$	−0.564638	+	0.515376i	−0.0364472	+	0.0332674i
$241$	22.6824			1.46110			0.730550	−	0.682859i	$-0.239264\pi$
$241$	22.6824			1.46110			0.730550	+	0.682859i	$0.239264\pi$
$242$	21.6467	−	37.4932i	1.39150	−	2.41015i
$243$	7.33224	−	13.7564i	0.470364	−	0.882473i
$244$	8.43461	+	4.86973i	0.539971	+	0.311752i
$245$	0.490756	+	0.543721i	0.0313533	+	0.0347371i
$246$	−13.8813	−	4.40650i	−0.885040	−	0.280948i
$247$	−0.803566	+	0.600623i	−0.0511297	+	0.0382167i
$248$	0.958646	−	1.66042i	0.0608741	−	0.105437i
$249$	3.92559	+	17.8718i	0.248774	+	1.13258i
$250$		−	2.05992i		−	0.130281i
$251$	−1.40614	−	2.43550i	−0.0887546	−	0.153728i	0.818230	−	0.574891i	$-0.194955\pi$
$251$	−1.40614	−	2.43550i	−0.0887546	−	0.153728i	−0.906985	+	0.421163i	$0.861622\pi$
$252$	−14.4990	−	3.66577i	−0.913354	−	0.230922i
$253$	−36.8434	+	21.2715i	−2.31632	+	1.33733i
$254$	−7.52583	+	13.0351i	−0.472212	+	0.817896i
$255$	0.258413	−	0.235868i	0.0161825	−	0.0147706i
$256$	17.6891			1.10557
$257$	27.6854			1.72697			0.863485	−	0.504374i	$-0.168277\pi$
$257$	27.6854			1.72697			0.863485	+	0.504374i	$0.168277\pi$
$258$	11.3881	+	12.4766i	0.708990	+	0.776758i
$259$	−8.75918	+	10.8300i	−0.544269	+	0.672945i
$260$	0.705875	−	0.0838728i	0.0437765	−	0.00520157i
$261$	10.9161	+	0.997888i	0.675687	+	0.0617677i
$262$	−9.06886	−	15.7077i	−0.560276	−	0.970426i
$263$	−13.3852	+	7.72797i	−0.825369	+	0.476527i	−0.852264	−	0.523111i	$-0.824771\pi$
$263$	−13.3852	+	7.72797i	−0.825369	+	0.476527i	0.0268954	+	0.999638i	$0.491438\pi$
$264$	−1.53027	−	1.67654i	−0.0941816	−	0.103184i
$265$	−0.284244			−0.0174610
$266$	−1.35419	+	0.520759i	−0.0830305	+	0.0319298i
$267$	−3.98885	−	18.1598i	−0.244114	−	1.11136i
$268$	−9.63771	+	5.56433i	−0.588717	+	0.339896i
$269$	−3.29198			−0.200715			−0.100358	−	0.994951i	$-0.531999\pi$
$269$	−3.29198			−0.200715			−0.100358	+	0.994951i	$0.531999\pi$
$270$	−0.415837	+	0.987561i	−0.0253071	+	0.0601011i
$271$	4.44528			0.270031			0.135016	−	0.990843i	$-0.456892\pi$
$271$	4.44528			0.270031			0.135016	+	0.990843i	$0.456892\pi$
$272$	−8.14333			−0.493762
$273$	−10.6645	−	12.6201i	−0.645446	−	0.763806i
$274$	−2.24457			−0.135599
$275$	28.6456			1.72739
$276$	−5.18773	−	23.6179i	−0.312265	−	1.42163i
$277$	8.48359			0.509730			0.254865	−	0.966977i	$-0.417969\pi$
$277$	8.48359			0.509730			0.254865	+	0.966977i	$0.417969\pi$
$278$	−0.00844978	+	0.00487848i	−0.000506784	+	0.000292592i
$279$	2.29409	−	25.0954i	0.137343	−	1.50242i
$280$	−0.0624159	−	0.00984718i	−0.00373007	−	0.000588482i
$281$	17.6252			1.05143			0.525716	−	0.850660i	$-0.323798\pi$
$281$	17.6252			1.05143			0.525716	+	0.850660i	$0.323798\pi$
$282$	16.3854	−	14.9558i	0.975735	−	0.890607i
$283$	−11.7316	+	6.77322i	−0.697369	+	0.402626i	−0.806367	−	0.591416i	$-0.798569\pi$
$283$	−11.7316	+	6.77322i	−0.697369	+	0.402626i	0.108998	+	0.994042i	$0.465236\pi$
$284$	10.5370	+	18.2506i	0.625255	+	1.08297i
$285$	0.0108186	+	0.0492531i	0.000640836	+	0.00291750i
$286$	4.81405	+	40.5151i	0.284661	+	2.39571i
$287$	−4.05160	−	10.5358i	−0.239159	−	0.621910i
$288$	21.4009	−	9.87813i	1.26106	−	0.582074i
$289$	−13.2731			−0.780771
$290$	−0.753491			−0.0442465
$291$	−8.70715	−	9.53942i	−0.510422	−	0.559210i
$292$	−10.2017	+	17.6699i	−0.597010	+	1.03405i
$293$	25.4563	−	14.6972i	1.48718	−	0.858621i	0.487283	−	0.873244i	$-0.337988\pi$
$293$	25.4563	−	14.6972i	1.48718	−	0.858621i	0.999893	+	0.0146231i	$0.00465485\pi$
$294$	−9.89298	−	21.7510i	−0.576970	−	1.26854i
$295$	0.599243	+	1.03792i	0.0348893	+	0.0604300i
$296$		−	1.20164i		−	0.0698440i
$297$	−27.4965	−	11.5781i	−1.59551	−	0.671829i
$298$	9.15582	−	15.8583i	0.530382	−	0.918649i
$299$	10.5345	−	24.5506i	0.609225	−	1.41980i
$300$	−4.92626	+	15.5187i	−0.284418	+	0.895971i
$301$	−2.04036	+	12.9328i	−0.117605	+	0.745431i
$302$	−9.86985	−	5.69836i	−0.567946	−	0.327904i
$303$	−8.72377	−	9.55763i	−0.501167	−	0.549071i
$304$	0.586849	−	1.01645i	0.0336581	−	0.0582976i
$305$	0.540863			0.0309697
$306$	−10.3635	+	4.78352i	−0.592440	+	0.273455i
$307$	−8.63200			−0.492654			−0.246327	−	0.969187i	$-0.579224\pi$
$307$	−8.63200			−0.492654			−0.246327	+	0.969187i	$0.579224\pi$
$308$	−4.46057	+	28.2731i	−0.254165	+	1.61101i
$309$	4.57400	−	4.17494i	0.260206	−	0.237504i
$310$			1.73223i			0.0983842i
$311$	6.35467	−	11.0066i	0.360340	−	0.624128i	−0.627676	−	0.778474i	$-0.715994\pi$
$311$	6.35467	−	11.0066i	0.360340	−	0.624128i	0.988017	+	0.154346i	$0.0493272\pi$
$312$	1.40000	+	0.267961i	0.0792594	+	0.0151703i
$313$	0.472116	−	0.272576i	0.0266856	−	0.0154069i	−0.486598	−	0.873626i	$-0.661762\pi$
$313$	0.472116	−	0.272576i	0.0266856	−	0.0154069i	0.513283	+	0.858219i	$0.328429\pi$
$314$	12.5853	+	7.26611i	0.710228	+	0.410050i
$315$	−0.799090	+	0.226291i	−0.0450236	+	0.0127500i
$316$	10.2928	+	17.8277i	0.579017	+	1.00289i
$317$	−4.43176	−	7.67603i	−0.248912	−	0.431129i	0.714312	−	0.699828i	$-0.246740\pi$
$317$	−4.43176	−	7.67603i	−0.248912	−	0.431129i	−0.963224	+	0.268698i	$0.913406\pi$
$318$	8.83847	+	2.80569i	0.495637	+	0.157335i
$319$		−	20.9793i		−	1.17462i
$320$	−0.638685	+	0.368745i	−0.0357036	+	0.0206135i
$321$	1.12915	+	5.14064i	0.0630233	+	0.286923i
$322$	24.2961	−	30.0401i	1.35397	−	1.67407i
$323$	−0.268579	+	0.465192i	−0.0149441	+	0.0258840i
$324$	11.0010	−	12.9050i	0.611169	−	0.716946i
$325$	−14.4083	+	10.7694i	−0.799227	+	0.597380i
$326$	−8.28959	−	4.78600i	−0.459118	−	0.265072i
$327$	26.2118	+	8.32069i	1.44951	+	0.460135i
$328$	0.843349	+	0.486908i	0.0465662	+	0.0268850i
$329$	16.9845	+	2.67959i	0.936384	+	0.147731i
$330$	1.95470	+	0.620501i	0.107602	+	0.0341574i
$331$	23.8870	+	13.7912i	1.31295	+	0.758031i	0.982583	−	0.185823i	$-0.0594950\pi$
$331$	23.8870	+	13.7912i	1.31295	+	0.758031i	0.330365	+	0.943853i	$0.392828\pi$
$332$			19.9051i			1.09243i
$333$	−6.61896	−	14.3400i	−0.362717	−	0.785825i
$334$	−11.2556	−	6.49844i	−0.615880	−	0.355579i
$335$	−0.309005	+	0.535213i	−0.0168828	+	0.0292418i
$336$	17.2877	+	8.64839i	0.943122	+	0.471809i
$337$	−9.65874			−0.526145			−0.263073	−	0.964776i	$-0.584736\pi$
$337$	−9.65874			−0.526145			−0.263073	+	0.964776i	$0.584736\pi$
$338$	−17.6532	−	18.5686i	−0.960207	−	1.01000i
$339$	−7.60518	+	6.94167i	−0.413057	+	0.377020i
$340$	0.329613	−	0.190302i	0.0178758	−	0.0103206i
$341$	−48.2303			−2.61181
$342$	0.149764	−	1.63830i	0.00809833	−	0.0885889i
$343$	8.37819	−	16.5168i	0.452380	−	0.891825i
$344$	−0.564754	−	0.978183i	−0.0304495	−	0.0527401i
$345$	−0.905283	−	0.991813i	−0.0487388	−	0.0533974i
$346$	−19.4721	+	33.7267i	−1.04683	+	1.81316i
$347$			9.35313i			0.502102i	0.967974	+	0.251051i	$0.0807762\pi$
$347$			9.35313i			0.502102i	−0.967974	+	0.251051i	$0.919224\pi$
$348$	11.3655	+	3.60787i	0.609254	+	0.193402i
$349$	1.78187	−	3.08629i	0.0953813	−	0.165205i	−0.814386	−	0.580323i	$-0.802926\pi$
$349$	1.78187	−	3.08629i	0.0953813	−	0.165205i	0.909768	+	0.415118i	$0.136260\pi$
$350$	−24.2811	+	9.33742i	−1.29788	+	0.499106i
$351$	18.1831	−	4.51382i	0.970543	−	0.240930i
$352$	−22.5560	−	39.0681i	−1.20224	−	2.08234i
$353$	−17.7684	+	10.2586i	−0.945719	+	0.546011i	−0.891748	−	0.452531i	$-0.850521\pi$
$353$	−17.7684	+	10.2586i	−0.945719	+	0.546011i	−0.0539706	+	0.998543i	$0.517188\pi$
$354$	−8.38824	−	38.1887i	−0.445830	−	2.02971i
$355$	1.01351	+	0.585152i	0.0537917	+	0.0310567i
$356$		−	20.2259i		−	1.07197i
$357$	−7.91193	−	3.95804i	−0.418744	−	0.209482i
$358$	−1.31854	+	0.761260i	−0.0696871	+	0.0402339i
$359$	16.4456	+	28.4846i	0.867967	+	1.50336i	0.864071	+	0.503370i	$0.167907\pi$
$359$	16.4456	+	28.4846i	0.867967	+	1.50336i	0.00389546	+	0.999992i	$0.498760\pi$
$360$	0.0413241	−	0.0585304i	0.00217797	−	0.00308482i
$361$	9.46129	+	16.3874i	0.497963	+	0.862497i
$362$			4.94858i			0.260091i
$363$	−11.5119	+	36.2647i	−0.604218	+	1.90340i
$364$	−8.38579	−	15.8979i	−0.439535	−	0.833276i
$365$			1.13307i			0.0593075i
$366$	−16.8180	−	5.33871i	−0.879089	−	0.279059i
$367$	2.90400	−	1.67663i	0.151588	−	0.0875192i	−0.422288	−	0.906462i	$-0.638773\pi$
$367$	2.90400	−	1.67663i	0.151588	−	0.0875192i	0.573875	+	0.818943i	$0.305439\pi$
$368$			31.2548i			1.62927i
$369$	12.7462	+	1.16519i	0.663543	+	0.0606576i
$370$	0.542828	+	0.940206i	0.0282203	+	0.0488790i
$371$	2.57972	+	6.70833i	0.133933	+	0.348279i
$372$	8.29429	−	26.1286i	0.430039	−	1.35470i
$373$	−7.89111	+	13.6678i	−0.408586	+	0.707692i	−0.994732	−	0.102514i	$-0.967311\pi$
$373$	−7.89111	+	13.6678i	−0.408586	+	0.707692i	0.586145	+	0.810206i	$0.300645\pi$
$374$	10.9228	+	18.9188i	0.564804	+	0.978269i
$375$	0.388388	+	1.76819i	0.0200563	+	0.0913091i
$376$	−1.28464	+	0.741686i	−0.0662502	+	0.0382495i
$377$	7.88725	+	10.5523i	0.406214	+	0.543469i
$378$	27.0811	+	0.851169i	1.39290	+	0.0437794i
$379$	11.7692	+	6.79493i	0.604541	+	0.349032i	0.770826	−	0.637046i	$-0.219844\pi$
$379$	11.7692	+	6.79493i	0.604541	+	0.349032i	−0.166285	+	0.986078i	$0.553177\pi$
$380$			0.0548565i			0.00281408i
$381$	4.00230	−	12.6080i	0.205044	−	0.645928i
$382$	25.3514	+	14.6366i	1.29709	+	0.748876i
$383$	−12.6080	−	7.27921i	−0.644237	−	0.371950i	0.142008	−	0.989866i	$-0.454644\pi$
$383$	−12.6080	−	7.27921i	−0.644237	−	0.371950i	−0.786245	+	0.617915i	$0.787977\pi$
$384$	−3.08389	+	0.677384i	−0.157374	+	0.0345676i
$385$	0.570526	+	1.48360i	0.0290767	+	0.0756112i
$386$	23.2793	−	13.4403i	1.18489	−	0.684094i
$387$	−12.1277	−	8.56247i	−0.616484	−	0.435255i
$388$	−7.02507	−	12.1678i	−0.356644	−	0.617725i
$389$	−31.6841	−	18.2928i	−1.60645	−	0.927483i	−0.990156	−	0.139966i	$-0.955301\pi$
$389$	−31.6841	−	18.2928i	−1.60645	−	0.927483i	−0.616292	−	0.787518i	$-0.711366\pi$
$390$	−1.21646	+	0.422773i	−0.0615978	+	0.0214079i
$391$		−	14.3042i		−	0.723392i
$392$	0.334071	+	1.56243i	0.0168732	+	0.0789145i
$393$	10.7461	+	11.7733i	0.542070	+	0.593883i
$394$	−3.69366	+	6.39761i	−0.186084	+	0.322307i
$395$	0.990029	+	0.571593i	0.0498138	+	0.0287600i
$396$	−26.5131	−	18.7190i	−1.33233	−	0.940664i
$397$	−0.838959	+	1.45312i	−0.0421061	+	0.0729300i	−0.886310	−	0.463092i	$-0.846740\pi$
$397$	−0.838959	+	1.45312i	−0.0421061	+	0.0729300i	0.844204	+	0.536022i	$0.180073\pi$
$398$			10.9444i			0.548593i
$399$	1.06422	−	0.702333i	0.0532775	−	0.0351606i
$400$	10.5224	−	18.2254i	0.526122	−	0.911270i
$401$	−11.1396			−0.556284			−0.278142	−	0.960540i	$-0.589719\pi$
$401$	−11.1396			−0.556284			−0.278142	+	0.960540i	$0.589719\pi$
$402$	14.8914	−	13.5922i	0.742713	−	0.677915i
$403$	24.2590	−	18.1323i	1.20843	−	0.903236i
$404$	−7.03848	−	12.1910i	−0.350178	−	0.606525i
$405$	0.170746	−	0.926105i	0.00848444	−	0.0460185i
$406$	6.83850	+	17.7829i	0.339389	+	0.882550i
$407$	−26.1780	+	15.1139i	−1.29760	+	0.749167i
$408$	0.745437	−	0.163737i	0.0369046	−	0.00810619i
$409$	−13.5766			−0.671321			−0.335661	−	0.941983i	$-0.608959\pi$
$409$	−13.5766			−0.671321			−0.335661	+	0.941983i	$0.608959\pi$
$410$	−0.879822			−0.0434513
$411$	1.92669	−	0.423202i	0.0950365	−	0.0208750i
$412$	5.83425	−	3.36841i	0.287433	−	0.165950i
$413$	19.0570	−	23.5624i	0.937732	−	1.15943i
$414$	18.3596	+	39.7759i	0.902323	+	1.95488i
$415$	0.552697	+	0.957299i	0.0271308	+	0.0469920i
$416$	26.0330	+	11.1706i	1.27638	+	0.547684i
$417$	0.00633330	−	0.00578075i	0.000310143	−	0.000283084i
$418$	−3.14860			−0.154003
$419$	−14.5931	+	25.2760i	−0.712920	+	1.23481i	0.250837	+	0.968029i	$0.419294\pi$
$419$	−14.5931	+	25.2760i	−0.712920	+	1.23481i	−0.963756	+	0.266784i	$0.914039\pi$
$420$	−0.901851	+	0.0539419i	−0.0440058	+	0.00263210i
$421$			17.1623i			0.836440i	0.908346	+	0.418220i	$0.137346\pi$
$421$			17.1623i			0.836440i	−0.908346	+	0.418220i	$0.862654\pi$
$422$	−7.70843	+	13.3514i	−0.375241	+	0.649936i
$423$	−11.2450	+	15.9271i	−0.546751	+	0.774404i
$424$	−0.536974	−	0.310022i	−0.0260778	−	0.0150560i
$425$	−4.81572	+	8.34108i	−0.233597	+	0.404602i
$426$	−25.7390	−	28.1992i	−1.24706	−	1.36626i
$427$	−4.90874	−	12.7647i	−0.237550	−	0.617728i
$428$			5.72549i			0.276752i
$429$	−11.7712	−	33.8697i	−0.568319	−	1.63524i
$430$	0.883767	+	0.510243i	0.0426190	+	0.0246061i
$431$	−12.8632	−	22.2797i	−0.619597	−	1.07317i	−0.989559	−	0.144127i	$-0.953963\pi$
$431$	−12.8632	−	22.2797i	−0.619597	−	1.07317i	0.369962	−	0.929047i	$-0.379371\pi$
$432$	−17.4668	+	13.2413i	−0.840370	+	0.637073i
$433$	11.7299	−	6.77225i	0.563702	−	0.325454i	−0.190928	−	0.981604i	$-0.561150\pi$
$433$	11.7299	−	6.77225i	0.563702	−	0.325454i	0.754630	+	0.656150i	$0.227816\pi$
$434$	40.8818	−	15.7213i	1.96239	−	0.754647i
$435$	0.646781	−	0.142067i	0.0310108	−	0.00681159i
$436$	25.9083	+	14.9581i	1.24078	+	0.716365i
$437$	1.78545	+	1.03083i	0.0854096	+	0.0493112i
$438$	11.1842	−	35.2324i	0.534402	−	1.68347i
$439$			35.5572i			1.69705i	0.529153	+	0.848527i	$0.322510\pi$
$439$			35.5572i			1.69705i	−0.529153	+	0.848527i	$0.677490\pi$
$440$	−0.118756	−	0.0685638i	−0.00566147	−	0.00326865i
$441$	12.5929	+	16.8053i	0.599664	+	0.800252i
$442$	−12.6066	−	5.40940i	−0.599634	−	0.257299i
$443$	18.8087	−	10.8592i	0.893630	−	0.515937i	0.0185017	−	0.999829i	$-0.494110\pi$
$443$	18.8087	−	10.8592i	0.893630	−	0.515937i	0.875128	+	0.483891i	$0.160777\pi$
$444$	−3.68599	−	16.7810i	−0.174930	−	0.796393i
$445$	−0.561603	−	0.972726i	−0.0266226	−	0.0461116i
$446$	−4.46930	+	7.74106i	−0.211628	+	0.366550i
$447$	−4.86915	+	15.3387i	−0.230303	+	0.725497i
$448$	14.4992	+	11.7267i	0.685021	+	0.554036i
$449$	11.3852	+	19.7197i	0.537300	+	0.930632i	0.999048	+	0.0436204i	$0.0138892\pi$
$449$	11.3852	+	19.7197i	0.537300	+	0.930632i	−0.461748	+	0.887011i	$0.652777\pi$
$450$	2.68533	−	29.3753i	0.126588	−	1.38476i
$451$		−	24.4967i		−	1.15351i
$452$	−9.70062	+	5.60065i	−0.456279	+	0.263433i
$453$	9.54646	+	3.03044i	0.448532	+	0.142382i
$454$			19.7346i			0.926190i
$455$	−0.844729	−	0.531735i	−0.0396015	−	0.0249281i
$456$	−0.0332822	+	0.104845i	−0.00155858	+	0.00490983i
$457$			2.63483i			0.123252i	0.998099	+	0.0616261i	$0.0196286\pi$
$457$			2.63483i			0.123252i	−0.998099	+	0.0616261i	$0.980371\pi$
$458$	8.32650	+	14.4219i	0.389072	+	0.673892i
$459$	7.99387	−	6.06005i	0.373122	−	0.282859i
$460$	−0.730397	−	1.26508i	−0.0340549	−	0.0589849i
$461$	0.742652	−	0.428771i	0.0345888	−	0.0199698i	−0.482606	−	0.875838i	$-0.660310\pi$
$461$	0.742652	−	0.428771i	0.0345888	−	0.0199698i	0.517195	+	0.855868i	$0.326976\pi$
$462$	−3.09611	−	51.7636i	−0.144044	−	2.40826i
$463$		−	38.9575i		−	1.81051i	−0.424871	−	0.905254i	$-0.639681\pi$
$463$		−	38.9575i		−	1.81051i	0.424871	−	0.905254i	$-0.360319\pi$
$464$	−13.3478	−	7.70638i	−0.619658	−	0.357760i
$465$	−0.326603	−	1.48691i	−0.0151459	−	0.0689538i
$466$	8.10641	−	4.68024i	0.375522	−	0.216808i
$467$	16.4702	+	28.5273i	0.762152	+	1.32009i	0.941739	+	0.336344i	$0.109191\pi$
$467$	16.4702	+	28.5273i	0.762152	+	1.32009i	−0.179587	+	0.983742i	$0.557476\pi$
$468$	20.3731	−	0.552352i	0.941747	−	0.0255325i
$469$	15.4358	+	2.43526i	0.712759	+	0.112450i
$470$	0.670098	−	1.16064i	0.0309093	−	0.0535365i
$471$	−12.1729	−	3.86418i	−0.560898	−	0.178052i
$472$			2.61436i			0.120336i
$473$	−14.2066	+	24.6066i	−0.653221	+	1.13141i
$474$	−25.1426	−	27.5458i	−1.15484	−	1.26522i
$475$	−0.694090	−	1.20220i	−0.0318471	−	0.0551607i
$476$	−7.48274	−	6.05195i	−0.342971	−	0.277391i
$477$	−8.11575	−	0.741899i	−0.371595	−	0.0339692i
$478$	−3.10761			−0.142139
$479$	−10.2933	+	5.94284i	−0.470313	+	0.271535i	−0.716371	−	0.697720i	$-0.754198\pi$
$479$	−10.2933	+	5.94284i	−0.470313	+	0.271535i	0.246058	+	0.969255i	$0.420865\pi$
$480$	1.05170	−	0.959946i	0.0480034	−	0.0438154i
$481$	7.48499	−	17.4437i	0.341286	−	0.795366i
$482$	−44.7032			−2.03617
$483$	−15.1913	+	30.3667i	−0.691229	+	1.38173i
$484$	−20.6950	+	35.8448i	−0.940682	+	1.62931i
$485$	−0.675716	−	0.390125i	−0.0306827	−	0.0177146i
$486$	−14.4506	+	27.1116i	−0.655494	+	1.22981i
$487$		−	17.8192i		−	0.807464i	−0.914877	−	0.403732i	$-0.867713\pi$
$487$		−	17.8192i		−	0.807464i	0.914877	−	0.403732i	$-0.132287\pi$
$488$	1.02176	+	0.589915i	0.0462530	+	0.0267042i
$489$	8.01798	+	2.54524i	0.362586	+	0.115100i
$490$	−0.967199	−	1.07158i	−0.0436936	−	0.0484093i
$491$	−17.1359	−	9.89339i	−0.773330	−	0.446482i	0.0607310	−	0.998154i	$-0.480657\pi$
$491$	−17.1359	−	9.89339i	−0.773330	−	0.446482i	−0.834061	+	0.551672i	$0.813990\pi$
$492$	13.2710	+	4.21277i	0.598304	+	0.189926i
$493$	6.10880	+	3.52692i	0.275127	+	0.158844i
$494$	1.58370	−	1.18373i	0.0712538	−	0.0532585i
$495$	−1.79486	−	0.164077i	−0.0806730	−	0.00737470i
$496$	−17.7165	+	30.6859i	−0.795495	+	1.37784i
$497$	4.61158	−	29.2303i	0.206857	−	1.31116i
$498$	−7.73669	−	35.2224i	−0.346690	−	1.57836i
$499$	−10.1460	+	5.85779i	−0.454197	+	0.262231i	−0.709601	−	0.704604i	$-0.751125\pi$
$499$	−10.1460	+	5.85779i	−0.454197	+	0.262231i	0.255404	+	0.966834i	$0.417792\pi$
$500$			1.96936i			0.0880724i
$501$	10.8868	+	3.45593i	0.486388	+	0.154399i
$502$	2.77126	+	4.79997i	0.123688	+	0.214233i
$503$	−21.8178	−	37.7895i	−0.972805	−	1.68495i	−0.686995	−	0.726662i	$-0.741070\pi$
$503$	−21.8178	−	37.7895i	−0.972805	−	1.68495i	−0.285811	−	0.958286i	$-0.592263\pi$
$504$	−1.75640	−	0.444068i	−0.0782364	−	0.0197804i
$505$	−0.677005	−	0.390869i	−0.0301263	−	0.0173935i
$506$	72.6121	−	41.9226i	3.22800	−	1.86369i
$507$	18.6541	+	12.6105i	0.828459	+	0.560050i
$508$	7.19496	−	12.4620i	0.319225	−	0.552913i
$509$		−	4.99990i		−	0.221617i	−0.993842	−	0.110808i	$-0.964656\pi$
$509$		−	4.99990i		−	0.221617i	0.993842	−	0.110808i	$-0.0353440\pi$
$510$	−0.509290	+	0.464857i	−0.0225517	+	0.0205842i
$511$	26.7411	−	10.2834i	1.18296	−	0.454913i
$512$	−31.2165			−1.37959
$513$	0.180338	+	1.43451i	0.00796211	+	0.0633354i
$514$	−54.5634			−2.40669
$515$	0.187058	−	0.323995i	0.00824278	−	0.0142769i
$516$	−10.8874	−	11.9281i	−0.479291	−	0.525103i
$517$	32.3156	+	18.6574i	1.42124	+	0.820552i
$518$	17.2629	−	21.3442i	0.758488	−	0.937809i
$519$	10.3555	−	32.6217i	0.454554	−	1.43193i
$520$	0.0855091	−	0.0101603i	0.00374982	−	0.000445558i
$521$	13.0301	−	22.5687i	0.570857	−	0.988754i	−0.425621	−	0.904902i	$-0.639944\pi$
$521$	13.0301	−	22.5687i	0.570857	−	0.988754i	0.996478	−	0.0838522i	$-0.0267224\pi$
$522$	−21.5137	−	1.96667i	−0.941631	−	0.0860789i
$523$			23.5531i			1.02990i	0.857219	+	0.514952i	$0.172190\pi$
$523$			23.5531i			1.02990i	−0.857219	+	0.514952i	$0.827810\pi$
$524$	8.67015	+	15.0171i	0.378757	+	0.656027i
$525$	19.0818	−	12.5931i	0.832800	−	0.549609i
$526$	26.3801	−	15.2305i	1.15023	−	0.664083i
$527$	8.10818	−	14.0438i	0.353198	−	0.611756i
$528$	28.2805	+	30.9837i	1.23075	+	1.34839i
$529$	−31.9006			−1.38698
$530$	0.560197			0.0243334
$531$	14.4006	+	31.1988i	0.624931	+	1.35391i
$532$	1.29465	−	0.497864i	0.0561302	−	0.0215851i
$533$	9.20963	+	12.3214i	0.398913	+	0.533701i
$534$	7.86137	+	35.7900i	0.340195	+	1.54879i
$535$	0.158977	+	0.275357i	0.00687319	+	0.0119047i
$536$	−1.16750	+	0.674059i	−0.0504285	+	0.0291149i
$537$	0.988276	−	0.902053i	0.0426472	−	0.0389265i
$538$	6.48794			0.279715
$539$	29.8360	−	26.9296i	1.28513	−	1.15994i
$540$	0.397555	−	0.944143i	0.0171080	−	0.0406295i
$541$	−1.12767	+	0.651062i	−0.0484824	+	0.0279913i	−0.524045	−	0.851690i	$-0.675578\pi$
$541$	−1.12767	+	0.651062i	−0.0484824	+	0.0279913i	0.475563	+	0.879682i	$0.342244\pi$
$542$	−8.76091			−0.376313
$543$	−0.933028	−	4.24775i	−0.0400401	−	0.182288i
$544$	15.1679			0.650318
$545$	1.66135			0.0711642
$546$	21.0180	+	24.8722i	0.899487	+	1.06443i
$547$	−25.9373			−1.10900			−0.554499	−	0.832185i	$-0.687090\pi$
$547$	−25.9373			−1.10900			−0.554499	+	0.832185i	$0.687090\pi$
$548$	2.14588			0.0916677
$549$	15.4428	+	1.41170i	0.659081	+	0.0602497i
$550$	−56.4557			−2.40728
$551$	−0.880462	+	0.508335i	−0.0375089	+	0.0216558i
$552$	−0.628437	−	2.86105i	−0.0267481	−	0.121775i
$553$	4.50472	−	28.5530i	0.191560	−	1.21420i
$554$	−16.7198			−0.710354
$555$	−0.643223	−	0.704705i	−0.0273033	−	0.0299131i
$556$	0.00807829	−	0.00466400i	0.000342596	−	0.000197798i
$557$	19.7421	+	34.1944i	0.836501	+	1.44886i	0.892803	+	0.450448i	$0.148736\pi$
$557$	19.7421	+	34.1944i	0.836501	+	1.44886i	−0.0563017	+	0.998414i	$0.517931\pi$
$558$	−4.52126	+	49.4588i	−0.191400	+	2.09376i
$559$	−2.10524	−	17.7177i	−0.0890421	−	0.749380i
$560$	1.15349	+	0.181983i	0.0487440	+	0.00769021i
$561$	−12.9429	−	14.1801i	−0.546451	−	0.598683i
$562$	−34.7363			−1.46526
$563$	−16.2558			−0.685100			−0.342550	−	0.939500i	$-0.611291\pi$
$563$	−16.2558			−0.685100			−0.342550	+	0.939500i	$0.611291\pi$
$564$	−15.6650	+	14.2983i	−0.659616	+	0.602067i
$565$	−0.311022	+	0.538706i	−0.0130848	+	0.0226635i
$566$	23.1210	−	13.3489i	0.971847	−	0.561096i
$567$	−23.4063	+	4.37538i	−0.982973	+	0.183749i
$568$	1.27644	+	2.21086i	0.0535583	+	0.0927657i
$569$			8.61656i			0.361225i	0.983554	+	0.180613i	$0.0578080\pi$
$569$			8.61656i			0.361225i	−0.983554	+	0.180613i	$0.942192\pi$
$570$	−0.0213216	−	0.0970696i	−0.000893062	−	0.00406580i
$571$	−13.8803	+	24.0413i	−0.580871	+	1.00610i	0.414505	+	0.910047i	$0.363955\pi$
$571$	−13.8803	+	24.0413i	−0.580871	+	1.00610i	−0.995376	+	0.0960518i	$0.969379\pi$
$572$	−4.60240	−	38.7339i	−0.192436	−	1.61955i
$573$	−24.5208	−	7.78390i	−1.02437	−	0.325177i
$574$	7.98504	+	20.7644i	0.333289	+	0.866687i
$575$	32.0138	+	18.4832i	1.33507	+	0.770802i
$576$	−19.1982	+	8.86141i	−0.799926	+	0.369226i
$577$	20.5244	−	35.5493i	0.854441	−	1.47994i	−0.0227210	−	0.999742i	$-0.507233\pi$
$577$	20.5244	−	35.5493i	0.854441	−	1.47994i	0.877162	−	0.480194i	$-0.159434\pi$
$578$	26.1591			1.08807
$579$	−17.4483	+	15.9261i	−0.725129	+	0.661865i
$580$	0.720364			0.0299115
$581$	17.5767	−	21.7322i	0.729206	−	0.901604i
$582$	17.1603	+	18.8006i	0.711319	+	0.779310i
$583$			15.5975i			0.645981i
$584$	−1.23583	+	2.14052i	−0.0511389	+	0.0885752i
$585$	0.964470	−	0.592256i	0.0398759	−	0.0244868i
$586$	−50.1702	+	28.9658i	−2.07251	+	1.19657i
$587$	−19.7125	−	11.3810i	−0.813622	−	0.469745i	0.0345899	−	0.999402i	$-0.488988\pi$
$587$	−19.7125	−	11.3810i	−0.813622	−	0.469745i	−0.848212	+	0.529657i	$0.822321\pi$
$588$	9.45803	+	20.7947i	0.390043	+	0.857558i
$589$	1.16863	+	2.02413i	0.0481526	+	0.0834028i
$590$	−1.18101	−	2.04557i	−0.0486213	−	0.0842146i
$591$	1.96432	−	6.18799i	0.0808015	−	0.254540i
$592$			22.2072i			0.912712i
$593$	−34.8292	+	20.1086i	−1.43026	+	0.825763i	−0.997140	−	0.0755715i	$-0.975922\pi$
$593$	−34.8292	+	20.1086i	−1.43026	+	0.825763i	−0.433123	+	0.901335i	$0.642589\pi$
$594$	54.1911	+	22.8185i	2.22349	+	0.936254i
$595$	−0.527911	−	0.0832870i	−0.0216422	−	0.00341443i
$596$	−8.75328	+	15.1611i	−0.358549	+	0.621024i
$597$	−2.06351	−	9.39444i	−0.0844539	−	0.384489i
$598$	−20.7617	+	48.3852i	−0.849010	+	1.97862i
$599$	12.3320	+	7.11988i	0.503872	+	0.290910i	0.730311	−	0.683115i	$-0.239375\pi$
$599$	12.3320	+	7.11988i	0.503872	+	0.290910i	−0.226439	+	0.974025i	$0.572709\pi$
$600$	−0.596764	+	1.87992i	−0.0243628	+	0.0767474i
$601$	−13.7308	−	7.92747i	−0.560090	−	0.323368i	0.193092	−	0.981181i	$-0.438149\pi$
$601$	−13.7308	−	7.92747i	−0.560090	−	0.323368i	−0.753182	+	0.657813i	$0.771482\pi$
$602$	4.02122	−	25.4883i	0.163893	−	1.03883i
$603$	−10.2197	+	14.4749i	−0.416178	+	0.589463i
$604$	9.43592	+	5.44783i	0.383942	+	0.221669i
$605$			2.29852i			0.0934481i
$606$	17.1931	+	18.8365i	0.698422	+	0.765180i
$607$	0.946951	+	0.546722i	0.0384355	+	0.0221908i	0.519095	−	0.854717i	$-0.326269\pi$
$607$	0.946951	+	0.546722i	0.0384355	+	0.0221908i	−0.480659	+	0.876908i	$0.659603\pi$
$608$	−1.09307	+	1.89326i	−0.0443300	+	0.0767818i
$609$	−9.22289	−	13.9751i	−0.373730	−	0.566299i
$610$	−1.06595			−0.0431591
$611$	−23.2685	+	2.76479i	−0.941344	+	0.111851i
$612$	9.90785	−	4.57321i	0.400501	−	0.184861i
$613$	17.3720	−	10.0297i	0.701648	−	0.405096i	−0.106313	−	0.994333i	$-0.533905\pi$
$613$	17.3720	−	10.0297i	0.701648	−	0.405096i	0.807961	+	0.589236i	$0.200571\pi$
$614$	17.0122			0.686558
$615$	0.755220	−	0.165886i	0.0304534	−	0.00668916i
$616$	−0.540350	+	3.42499i	−0.0217713	+	0.137997i
$617$	−11.1177	−	19.2564i	−0.447582	−	0.775235i	0.550646	−	0.834739i	$-0.314381\pi$
$617$	−11.1177	−	19.2564i	−0.447582	−	0.775235i	−0.998228	+	0.0595041i	$0.981048\pi$
$618$	−9.01459	+	8.22811i	−0.362620	+	0.330983i
$619$	10.2778	−	17.8017i	0.413099	−	0.715509i	−0.582127	−	0.813098i	$-0.697780\pi$
$619$	10.2778	−	17.8017i	0.413099	−	0.715509i	0.995227	+	0.0975883i	$0.0311128\pi$
$620$		−	1.65607i		−	0.0665096i
$621$	−23.2590	−	30.6812i	−0.933351	−	1.23119i
$622$	−12.5240	+	21.6922i	−0.502167	+	0.869779i
$623$	−17.8600	+	22.0824i	−0.715545	+	0.884713i
$624$	−25.8731	−	4.95213i	−1.03575	−	0.198244i
$625$	−12.4179	−	21.5085i	−0.496718	−	0.860341i
$626$	−0.930462	+	0.537203i	−0.0371888	+	0.0214709i
$627$	2.70269	−	0.593653i	0.107935	−	0.0237082i
$628$	−12.0320	−	6.94666i	−0.480128	−	0.277202i
$629$		−	10.1634i		−	0.405242i
$630$	1.57487	−	0.445981i	0.0627445	−	0.0177683i
$631$	2.93703	−	1.69569i	0.116921	−	0.0675045i	−0.440399	−	0.897802i	$-0.645163\pi$
$631$	2.93703	−	1.69569i	0.116921	−	0.0675045i	0.557320	+	0.830298i	$0.311830\pi$
$632$	1.24686	+	2.15963i	0.0495976	+	0.0859056i
$633$	4.09941	−	12.9139i	0.162937	−	0.513283i
$634$	8.73426	+	15.1282i	0.346882	+	0.600817i
$635$		−	0.799118i		−	0.0317120i
$636$	−8.44989	−	2.68234i	−0.335060	−	0.106362i
$637$	−4.88273	+	24.7620i	−0.193461	+	0.981108i
$638$			41.3468i			1.63694i
$639$	27.4106	+	19.3527i	1.08435	+	0.765579i
$640$	−0.165187	+	0.0953710i	−0.00652961	+	0.00376987i
$641$		−	21.2296i		−	0.838518i	−0.907867	−	0.419259i	$-0.862290\pi$
$641$		−	21.2296i		−	0.838518i	0.907867	−	0.419259i	$-0.137710\pi$
$642$	−2.22538	−	10.1314i	−0.0878286	−	0.399853i
$643$	11.7156	+	20.2921i	0.462019	+	0.800241i	0.999061	−	0.0433145i	$-0.0137918\pi$
$643$	11.7156	+	20.2921i	0.462019	+	0.800241i	−0.537042	+	0.843555i	$0.680458\pi$
$644$	−23.2279	+	28.7194i	−0.915308	+	1.13170i
$645$	−0.854810	−	0.271352i	−0.0336581	−	0.0106845i
$646$	0.529324	−	0.916816i	0.0208260	−	0.0360717i
$647$	7.97970	+	13.8212i	0.313714	+	0.543369i	0.979163	−	0.203074i	$-0.0650932\pi$
$647$	7.97970	+	13.8212i	0.313714	+	0.543369i	−0.665449	+	0.746443i	$0.731760\pi$
$648$	1.33266	−	1.56331i	0.0523518	−	0.0614124i
$649$	56.9543	−	32.8826i	2.23565	−	1.29076i
$650$	28.3963	−	21.2247i	1.11379	−	0.832502i
$651$	−32.1279	+	21.2029i	−1.25919	+	0.831006i
$652$	7.92514	+	4.57558i	0.310373	+	0.179194i
$653$			29.8842i			1.16946i	0.811228	+	0.584729i	$0.198799\pi$
$653$			29.8842i			1.16946i	−0.811228	+	0.584729i	$0.801201\pi$
$654$	−51.6590	−	16.3987i	−2.02003	−	0.641240i
$655$	0.833949	+	0.481481i	0.0325851	+	0.0188130i
$656$	−15.5857	−	8.99843i	−0.608521	−	0.351330i
$657$	−2.95740	+	32.3514i	−0.115379	+	1.26215i
$658$	−33.4736	−	5.28103i	−1.30494	−	0.205876i
$659$	−4.02686	+	2.32491i	−0.156864	+	0.0905656i	−0.576377	−	0.817184i	$-0.695534\pi$
$659$	−4.02686	+	2.32491i	−0.156864	+	0.0905656i	0.419513	+	0.907749i	$0.362201\pi$
$660$	−1.86876	−	0.593221i	−0.0727413	−	0.0230911i
$661$	−6.74929	−	11.6901i	−0.262517	−	0.454693i	0.704393	−	0.709810i	$-0.251219\pi$
$661$	−6.74929	−	11.6901i	−0.262517	−	0.454693i	−0.966910	+	0.255117i	$0.917886\pi$
$662$	−47.0773	−	27.1801i	−1.82971	−	1.05638i
$663$	11.8411	+	2.26640i	0.459871	+	0.0880197i
$664$			2.41129i			0.0935762i
$665$	0.0484398	−	0.0598919i	0.00187841	−	0.00232251i
$666$	13.0449	+	28.2617i	0.505478	+	1.09512i
$667$	13.5366	−	23.4461i	0.524140	−	0.907837i
$668$	10.7608	+	6.21273i	0.416347	+	0.240378i
$669$	2.37682	−	7.48742i	0.0918930	−	0.289481i
$670$	0.608998	−	1.05482i	0.0235276	−	0.0407511i
$671$		−	29.6791i		−	1.14575i
$672$	−32.2003	−	16.1086i	−1.24215	−	0.621403i
$673$	−8.62134	+	14.9326i	−0.332328	+	0.575610i	−0.982968	−	0.183777i	$-0.941168\pi$
$673$	−8.62134	+	14.9326i	−0.332328	+	0.575610i	0.650640	+	0.759387i	$0.274501\pi$
$674$	19.0358			0.733231
$675$	3.23353	+	25.7214i	0.124459	+	0.990018i
$676$	16.8771	+	17.7522i	0.649118	+	0.682778i
$677$	14.7179	+	25.4922i	0.565656	+	0.979744i	0.996988	+	0.0775514i	$0.0247102\pi$
$677$	14.7179	+	25.4922i	0.565656	+	0.979744i	−0.431333	+	0.902193i	$0.641956\pi$
$678$	14.9886	−	13.6809i	0.575632	−	0.525411i
$679$	−3.07457	+	19.4880i	−0.117991	+	0.747881i
$680$	0.0399291	−	0.0230531i	0.00153121	−	0.000884045i
$681$	−3.72086	−	16.9397i	−0.142584	−	0.649133i
$682$	95.0538			3.63980
$683$	24.7109			0.945537			0.472769	−	0.881187i	$-0.343255\pi$
$683$	24.7109			0.945537			0.472769	+	0.881187i	$0.343255\pi$
$684$	−0.143180	+	1.56627i	−0.00547462	+	0.0598878i
$685$	0.103202	−	0.0595839i	0.00394316	−	0.00227658i
$686$	−16.5120	+	32.5519i	−0.630432	+	1.24284i
$687$	−9.86647	−	10.8095i	−0.376429	−	0.412410i
$688$	10.4371	+	18.0776i	0.397910	+	0.689201i
$689$	−5.86392	−	7.84527i	−0.223398	−	0.298881i
$690$	1.78416	+	1.95470i	0.0679219	+	0.0744141i
$691$	−23.1323			−0.879994			−0.439997	−	0.897999i	$-0.645020\pi$
$691$	−23.1323			−0.879994			−0.439997	+	0.897999i	$0.645020\pi$
$692$	18.6160	−	32.2439i	0.707676	−	1.22573i
$693$	12.4174	+	43.8490i	0.471698	+	1.66568i
$694$		−	18.4335i		−	0.699724i
$695$	0.000259007	0	0.000448613i	9.82469e−6	0	1.70169e-5i
$696$	1.37681	+	0.437055i	0.0521877	+	0.0165665i
$697$	7.13300	+	4.11824i	0.270182	+	0.155989i
$698$	−3.51177	+	6.08256i	−0.132922	+	0.230228i
$699$	−6.07593	+	5.54584i	−0.229813	+	0.209763i
$700$	23.2136	−	8.92690i	0.877391	−	0.337405i
$701$		−	6.64070i		−	0.250816i	−0.992105	−	0.125408i	$-0.959976\pi$
$701$		−	6.64070i		−	0.250816i	0.992105	−	0.125408i	$-0.0400240\pi$
$702$	−35.8359	+	8.89599i	−1.35254	+	0.335758i
$703$	1.26860	+	0.732426i	0.0478462	+	0.0276240i
$704$	20.2344	+	35.0469i	0.762611	+	1.32088i
$705$	−0.356364	+	1.12261i	−0.0134214	+	0.0422801i
$706$	35.0187	−	20.2180i	1.31794	−	0.760916i
$707$	−3.08043	+	19.5252i	−0.115852	+	0.734320i
$708$	8.01945	+	36.5098i	0.301390	+	1.37212i
$709$	22.9800	+	13.2675i	0.863031	+	0.498271i	0.865026	−	0.501727i	$-0.167302\pi$
$709$	22.9800	+	13.2675i	0.863031	+	0.498271i	−0.00199497	+	0.999998i	$0.500635\pi$
$710$	−1.99747	−	1.15324i	−0.0749636	−	0.0432803i
$711$	26.7755	+	18.9042i	1.00416	+	0.708964i
$712$		−	2.45015i		−	0.0918231i
$713$	−53.9012	−	31.1199i	−2.01862	−	1.16545i
$714$	15.5931	+	7.80064i	0.583557	+	0.291932i
$715$	−1.29685	−	1.73504i	−0.0484995	−	0.0648869i
$716$	1.26057	−	0.727792i	0.0471098	−	0.0271988i
$717$	2.66750	−	0.585923i	0.0996197	−	0.0218817i
$718$	−32.4116	−	56.1385i	−1.20959	−	2.09507i
$719$	6.59699	−	11.4263i	0.246026	−	0.426130i	−0.716393	−	0.697697i	$-0.754208\pi$
$719$	6.59699	−	11.4263i	0.246026	−	0.426130i	0.962420	+	0.271567i	$0.0875417\pi$
$720$	−0.763701	+	1.08169i	−0.0284615	+	0.0403121i
$721$	−9.34418	−	1.47420i	−0.347995	−	0.0549022i
$722$	−18.6466	−	32.2969i	−0.693956	−	1.20197i
$723$	38.3723	−	8.42856i	1.42708	−	0.313461i
$724$		−	4.73101i		−	0.175827i
$725$	−15.7870	+	9.11465i	−0.586316	+	0.338509i
$726$	22.6881	−	71.4717i	0.842033	−	2.65256i
$727$		−	52.7275i		−	1.95555i	−0.209649	−	0.977777i	$-0.567232\pi$
$727$		−	52.7275i		−	1.95555i	0.209649	−	0.977777i	$-0.432768\pi$
$728$	−1.01585	−	1.92586i	−0.0376499	−	0.0713771i
$729$	7.29236	−	25.9966i	0.270088	−	0.962836i
$730$		−	2.23309i		−	0.0826503i
$731$	−4.77666	−	8.27342i	−0.176671	−	0.306003i
$732$	16.0786	+	5.10400i	0.594281	+	0.188649i
$733$	−11.1332	−	19.2833i	−0.411215	−	0.712245i	0.583808	−	0.811892i	$-0.301562\pi$
$733$	−11.1332	−	19.2833i	−0.411215	−	0.712245i	−0.995023	+	0.0996470i	$0.968229\pi$
$734$	−5.72331	+	3.30435i	−0.211251	+	0.121966i
$735$	1.03226	+	0.737465i	0.0380756	+	0.0272018i
$736$		−	58.2157i		−	2.14586i
$737$	29.3690	+	16.9562i	1.08182	+	0.624591i
$738$	−25.1207	−	2.29640i	−0.924707	−	0.0845318i
$739$	−43.5566	+	25.1474i	−1.60225	+	0.925062i	−0.611219	+	0.791462i	$0.709320\pi$
$739$	−43.5566	+	25.1474i	−1.60225	+	0.925062i	−0.991035	+	0.133600i	$0.957346\pi$
$740$	−0.518963	−	0.898870i	−0.0190775	−	0.0330431i
$741$	−1.13622	+	1.31468i	−0.0417402	+	0.0482961i
$742$	−5.08421	−	13.2210i	−0.186647	−	0.485359i
$743$	9.41663	−	16.3101i	0.345463	−	0.598359i	−0.639975	−	0.768396i	$-0.721055\pi$
$743$	9.41663	−	16.3101i	0.345463	−	0.598359i	0.985438	+	0.170037i	$0.0543886\pi$
$744$	1.00476	−	3.16520i	0.0368364	−	0.116042i
$745$			0.972196i			0.0356185i
$746$	15.5521	−	26.9370i	0.569402	−	0.986232i
$747$	13.2820	+	28.7755i	0.485964	+	1.05284i
$748$	−10.4426	−	18.0871i	−0.381818	−	0.661329i
$749$	5.05576	−	6.25104i	0.184733	−	0.228408i
$750$	−0.765448	−	3.48481i	−0.0279502	−	0.127247i
$751$	−20.3727			−0.743412			−0.371706	−	0.928351i	$-0.621227\pi$
$751$	−20.3727			−0.743412			−0.371706	+	0.928351i	$0.621227\pi$
$752$	23.7411	−	13.7069i	0.865749	−	0.499840i
$753$	−3.28380	−	3.59768i	−0.119668	−	0.131107i
$754$	−15.5445	−	20.7967i	−0.566096	−	0.757373i
$755$	0.605071			0.0220208
$756$	−25.8905	−	0.813747i	−0.941628	−	0.0295957i
$757$	−12.1065	+	20.9691i	−0.440019	+	0.762136i	−0.997690	−	0.0679262i	$-0.978362\pi$
$757$	−12.1065	+	20.9691i	−0.440019	+	0.762136i	0.557671	+	0.830062i	$0.311695\pi$
$758$	−23.1951	−	13.3917i	−0.842482	−	0.486407i
$759$	−54.4244	+	49.6761i	−1.97548	+	1.80313i
$760$			0.00664528i			0.000241050i
$761$	−34.4440	−	19.8863i	−1.24859	−	0.720876i	−0.277766	−	0.960649i	$-0.589594\pi$
$761$	−34.4440	−	19.8863i	−1.24859	−	0.720876i	−0.970829	+	0.239772i	$0.922927\pi$
$762$	−7.88788	+	24.8483i	−0.285748	+	0.900159i
$763$	−15.0780	−	39.2088i	−0.545859	−	1.41945i
$764$	−24.2368	−	13.9931i	−0.876858	−	0.506254i
$765$	0.349517	−	0.495047i	0.0126368	−	0.0178985i
$766$	24.8482	+	14.3461i	0.897802	+	0.518346i
$767$	−16.2848	+	37.9516i	−0.588008	+	1.37035i
$768$	29.9251	−	6.57312i	1.07983	−	0.237187i
$769$	16.5378	−	28.6444i	0.596370	−	1.03294i	−0.396982	−	0.917826i	$-0.629943\pi$
$769$	16.5378	−	28.6444i	0.596370	−	1.03294i	0.993352	−	0.115116i	$-0.0367241\pi$
$770$	−1.12441	−	2.92393i	−0.0405210	−	0.105371i
$771$	46.8360	−	10.2876i	1.68676	−	0.370501i
$772$	−22.2558	+	12.8494i	−0.801005	+	0.462460i
$773$			32.0885i			1.15414i	0.816694	+	0.577072i	$0.195805\pi$
$773$			32.0885i			1.15414i	−0.816694	+	0.577072i	$0.804195\pi$
$774$	23.9016	+	16.8752i	0.859126	+	0.606567i
$775$	20.9540	+	36.2934i	0.752691	+	1.30370i
$776$	−0.851012	−	1.47400i	−0.0305495	−	0.0529134i
$777$	−10.7938	+	21.5762i	−0.387224	+	0.774042i
$778$	62.4441	+	36.0521i	2.23873	+	1.29253i
$779$	−1.02808	+	0.593562i	−0.0368348	+	0.0212666i
$780$	1.16298	−	0.404186i	0.0416413	−	0.0144722i
$781$	32.1094	−	55.6151i	1.14897	−	1.99007i
$782$			28.1911i			1.00811i
$783$	18.8377	−	2.36816i	0.673206	−	0.0846310i
$784$	−6.17390	−	28.8748i	−0.220496	−	1.03124i
$785$	−0.771540			−0.0275375
$786$	−21.1788	−	23.2032i	−0.755423	−	0.827630i
$787$	−34.6248			−1.23424			−0.617120	−	0.786869i	$-0.711701\pi$
$787$	−34.6248			−1.23424			−0.617120	+	0.786869i	$0.711701\pi$
$788$	3.53127	−	6.11634i	0.125796	−	0.217886i
$789$	−19.7724	+	18.0474i	−0.703918	+	0.642504i
$790$	−1.95118	−	1.12652i	−0.0694200	−	0.0400796i
$791$	15.5366	+	2.45116i	0.552417	+	0.0871532i
$792$	−3.21178	−	2.26760i	−0.114125	−	0.0805758i
$793$	11.1580	+	14.9281i	0.396231	+	0.530112i
$794$	1.65345	−	2.86386i	0.0586787	−	0.101634i
$795$	−0.480861	+	0.105622i	−0.0170544	+	0.00374604i
$796$		−	10.4632i		−	0.370859i
$797$	18.3734	+	31.8236i	0.650818	+	1.12725i	0.982925	+	0.184008i	$0.0589073\pi$
$797$	18.3734	+	31.8236i	0.650818	+	1.12725i	−0.332106	+	0.943242i	$0.607759\pi$
$798$	−2.09740	+	1.38418i	−0.0742470	+	0.0489995i
$799$	−10.8654	+	6.27314i	−0.384390	+	0.221928i
$800$	−19.5992	+	33.9469i	−0.692938	+	1.20020i
$801$	−13.4961	−	29.2392i	−0.476860	−	1.03312i
$802$	21.9542			0.775231
$803$	62.1755			2.19413
$804$	−14.2367	+	12.9946i	−0.502088	+	0.458283i
$805$	−0.319663	+	2.02617i	−0.0112666	+	0.0714130i
$806$	−47.8105	+	35.7358i	−1.68405	+	1.25874i
$807$	−5.56910	+	1.22327i	−0.196042	+	0.0430610i
$808$	−0.852636	−	1.47681i	−0.0299956	−	0.0519540i
$809$	39.8572	−	23.0116i	1.40130	−	0.809043i	0.406777	−	0.913527i	$-0.366653\pi$
$809$	39.8572	−	23.0116i	1.40130	−	0.809043i	0.994527	+	0.104484i	$0.0333192\pi$
$810$	−0.336512	+	1.82520i	−0.0118238	+	0.0641310i
$811$	−28.1736			−0.989309			−0.494654	−	0.869090i	$-0.664705\pi$
$811$	−28.1736			−0.989309			−0.494654	+	0.869090i	$0.664705\pi$
$812$	−6.53785	−	17.0011i	−0.229433	−	0.596620i
$813$	7.52017	−	1.65182i	0.263744	−	0.0579320i
$814$	51.5925	−	29.7870i	1.80832	−	1.04403i
$815$	0.508193			0.0178012
$816$	−13.7762	+	3.02599i	−0.482265	+	0.105931i
$817$	1.37692			0.0481723
$818$	26.7573			0.935546
$819$	−22.7309	−	17.3869i	−0.794282	−	0.607549i
$820$	0.841140			0.0293739
$821$	−10.9122			−0.380838			−0.190419	−	0.981703i	$-0.560985\pi$
$821$	−10.9122			−0.380838			−0.190419	+	0.981703i	$0.560985\pi$
$822$	−3.79718	+	0.834060i	−0.132442	+	0.0290912i
$823$	−39.4149			−1.37392			−0.686958	−	0.726697i	$-0.741054\pi$
$823$	−39.4149			−1.37392			−0.686958	+	0.726697i	$0.741054\pi$
$824$	0.706757	−	0.408046i	0.0246210	−	0.0142150i
$825$	48.4604	−	10.6444i	1.68717	−	0.370592i
$826$	−37.5581	+	46.4376i	−1.30681	+	1.61577i
$827$	−15.1405			−0.526487			−0.263243	−	0.964729i	$-0.584792\pi$
$827$	−15.1405			−0.526487			−0.263243	+	0.964729i	$0.584792\pi$
$828$	−17.5524	−	38.0272i	−0.609987	−	1.32154i
$829$	1.30798	−	0.755164i	0.0454281	−	0.0262279i	−0.477114	−	0.878841i	$-0.658317\pi$
$829$	1.30798	−	0.755164i	0.0454281	−	0.0262279i	0.522542	+	0.852614i	$0.324984\pi$
$830$	−1.08927	−	1.88668i	−0.0378093	−	0.0654876i
$831$	14.3519	−	3.15242i	0.497861	−	0.109356i
$832$	−23.3536	−	10.0208i	−0.809639	−	0.347410i
$833$	2.82556	+	13.2149i	0.0978998	+	0.457870i
$834$	−0.0124819	+	0.0113929i	−0.000432212	+	0.000394504i
$835$	0.690026			0.0238793
$836$	3.01018			0.104109
$837$	−5.44425	−	43.3068i	−0.188181	−	1.49690i
$838$	28.7606	−	49.8148i	0.993518	−	1.72082i
$839$	−44.3479	+	25.6042i	−1.53106	+	0.883957i	−0.531745	+	0.846905i	$0.678463\pi$
$839$	−44.3479	+	25.6042i	−1.53106	+	0.883957i	−0.999313	+	0.0370520i	$0.988203\pi$
$840$	−0.109249	+	0.00653448i	−0.00376947	+	0.000225461i
$841$	−7.82466	−	13.5527i	−0.269816	−	0.467335i
$842$		−	33.8241i		−	1.16565i
$843$	29.8169	−	6.54936i	1.02695	−	0.225572i
$844$	7.36953	−	12.7644i	0.253670	−	0.439369i
$845$	1.30459	+	0.385141i	0.0448793	+	0.0132493i
$846$	22.1620	−	31.3898i	0.761947	−	1.07920i
$847$	54.2465	−	20.8608i	1.86393	−	0.716785i
$848$	9.92370	+	5.72945i	0.340781	+	0.196750i
$849$	−17.3297	+	15.8177i	−0.594753	+	0.542863i
$850$	9.49099	−	16.4389i	0.325538	−	0.563849i
$851$	−39.0081			−1.33718
$852$	24.6074	+	26.9595i	0.843035	+	0.923616i
$853$	−44.4156			−1.52076			−0.760381	−	0.649477i	$-0.774988\pi$
$853$	−44.4156			−1.52076			−0.760381	+	0.649477i	$0.774988\pi$
$854$	9.67430	+	25.1571i	0.331048	+	0.860859i
$855$	0.0366040	+	0.0793024i	0.00125183	+	0.00271208i
$856$			0.693581i			0.0237061i
$857$	18.8025	−	32.5669i	0.642281	−	1.11246i	−0.342641	−	0.939466i	$-0.611322\pi$
$857$	18.8025	−	32.5669i	0.642281	−	1.11246i	0.984922	−	0.172997i	$-0.0553451\pi$
$858$	23.1991	+	66.7515i	0.792003	+	2.27886i
$859$	16.5980	−	9.58285i	0.566316	−	0.326963i	−0.189361	−	0.981908i	$-0.560642\pi$
$859$	16.5980	−	9.58285i	0.566316	−	0.326963i	0.755677	+	0.654945i	$0.227308\pi$
$860$	−0.844912	−	0.487810i	−0.0288113	−	0.0166342i
$861$	−10.7692	−	16.3181i	−0.367013	−	0.556120i
$862$	25.3512	+	43.9095i	0.863465	+	1.49556i
$863$	24.0564	+	41.6669i	0.818889	+	1.41836i	0.906502	+	0.422202i	$0.138743\pi$
$863$	24.0564	+	41.6669i	0.818889	+	1.41836i	−0.0876131	+	0.996155i	$0.527924\pi$
$864$	32.5338	−	24.6634i	1.10682	−	0.839067i
$865$		−	2.06762i		−	0.0703011i
$866$	−23.1176	+	13.3470i	−0.785570	+	0.453549i
$867$	−22.4544	+	4.93216i	−0.762591	+	0.167505i
$868$	−39.0844	+	15.0301i	−1.32661	+	0.510155i
$869$	31.3654	−	54.3265i	1.06400	−	1.84290i
$870$	−1.27470	+	0.279990i	−0.0432163	+	0.00949256i
$871$	−21.1469	+	2.51269i	−0.716535	+	0.0851394i
$872$	3.13851	+	1.81202i	0.106283	+	0.0613626i
$873$	−18.2748	−	12.9025i	−0.618509	−	0.436685i
$874$	−3.51882	−	2.03159i	−0.119026	−	0.0687196i
$875$	1.73900	−	2.15013i	0.0587888	−	0.0726875i
$876$	−10.6925	+	33.6834i	−0.361266	+	1.13806i
$877$	30.3970	+	17.5497i	1.02643	+	0.592612i	0.915961	−	0.401267i	$-0.131430\pi$
$877$	30.3970	+	17.5497i	1.02643	+	0.592612i	0.110474	+	0.993879i	$0.464763\pi$
$878$		−	70.0774i		−	2.36500i
$879$	37.6037	−	34.3230i	1.26834	−	1.15768i
$880$	2.19470	+	1.26711i	0.0739834	+	0.0427143i
$881$	−2.95453	+	5.11740i	−0.0995407	+	0.172410i	−0.911495	−	0.411312i	$-0.865071\pi$
$881$	−2.95453	+	5.11740i	−0.0995407	+	0.172410i	0.811954	+	0.583722i	$0.198404\pi$
$882$	−24.8186	−	33.1204i	−0.835686	−	1.11522i
$883$	−2.99195			−0.100687			−0.0503436	−	0.998732i	$-0.516032\pi$
$883$	−2.99195			−0.100687			−0.0503436	+	0.998732i	$0.516032\pi$
$884$	12.0523	+	5.17157i	0.405364	+	0.173939i
$885$	1.39943	+	1.53320i	0.0470414	+	0.0515378i
$886$	−37.0689	+	21.4017i	−1.24535	+	0.719005i
$887$	35.3839			1.18808			0.594038	−	0.804437i	$-0.297533\pi$
$887$	35.3839			1.18808			0.594038	+	0.804437i	$0.297533\pi$
$888$	−0.446518	−	2.03284i	−0.0149842	−	0.0682177i
$889$	−18.8597	+	7.25259i	−0.632534	+	0.243244i
$890$	1.10683	+	1.91708i	0.0371009	+	0.0642607i
$891$	−50.8187	−	9.36946i	−1.70249	−	0.313889i
$892$	4.27281	−	7.40073i	0.143064	−	0.247795i
$893$		−	1.80830i		−	0.0605123i
$894$	9.59628	−	30.2301i	0.320948	−	1.01105i
$895$	0.0404166	−	0.0700036i	0.00135098	−	0.00233996i
$896$	3.75002	+	3.03297i	0.125279	+	0.101324i
$897$	8.69865	−	45.4473i	0.290439	−	1.51744i
$898$	−22.4383	−	38.8643i	−0.748777	−	1.29692i
$899$	26.5804	−	15.3462i	0.886507	−	0.511825i
$900$	−2.56727	+	28.0838i	−0.0855758	+	0.936127i
$901$	−4.54170	−	2.62215i	−0.151306	−	0.0873566i
$902$			48.2790i			1.60751i
$903$	1.35396	+	22.6368i	0.0450571	+	0.753305i
$904$	−1.17513	+	0.678459i	−0.0390841	+	0.0225652i
$905$	−0.131364	−	0.227529i	−0.00436669	−	0.00756333i
$906$	−18.8145	−	5.97249i	−0.625069	−	0.198423i
$907$	13.7635	+	23.8391i	0.457010	+	0.791565i	0.998801	−	0.0489483i	$-0.0155870\pi$
$907$	13.7635	+	23.8391i	0.457010	+	0.791565i	−0.541791	+	0.840513i	$0.682254\pi$
$908$		−	18.8670i		−	0.626122i
$909$	−18.3097	−	12.9272i	−0.607295	−	0.428767i
$910$	1.66482	+	1.04796i	0.0551883	+	0.0347396i
$911$		−	11.5124i		−	0.381423i	−0.981646	−	0.190711i	$-0.938921\pi$
$911$		−	11.5124i		−	0.381423i	0.981646	−	0.190711i	$-0.0610795\pi$
$912$	0.615081	−	1.93762i	0.0203674	−	0.0641611i
$913$	52.5305	−	30.3285i	1.73850	−	1.00373i
$914$		−	5.19281i		−	0.171763i
$915$	0.914989	−	0.200980i	0.0302486	−	0.00664418i
$916$	−7.96043	−	13.7879i	−0.263020	−	0.455564i
$917$	3.79454	−	24.0515i	0.125307	−	0.794252i
$918$	−15.7546	+	11.9433i	−0.519979	+	0.394189i
$919$	15.6643	−	27.1313i	0.516716	−	0.894979i	−0.483095	−	0.875568i	$-0.660488\pi$
$919$	15.6643	−	27.1313i	0.516716	−	0.894979i	0.999812	−	0.0194111i	$-0.00617913\pi$
$920$	−0.0884797	−	0.153251i	−0.00291709	−	0.00505255i
$921$	−14.6029	+	3.20757i	−0.481183	+	0.105693i
$922$	−1.46364	+	0.845036i	−0.0482026	+	0.0278298i
$923$	4.75820	+	40.0451i	0.156618	+	1.31810i
$924$	2.95999	+	49.4878i	0.0973765	+	1.62803i
$925$	22.7465	+	13.1327i	0.747900	+	0.431801i
$926$			76.7787i			2.52311i
$927$	6.18656	−	8.76248i	0.203193	−	0.287798i
$928$	24.8619	+	14.3540i	0.816131	+	0.471193i
$929$	50.2856	+	29.0324i	1.64982	+	0.952522i	0.977143	+	0.212583i	$0.0681876\pi$
$929$	50.2856	+	29.0324i	1.64982	+	0.952522i	0.672674	+	0.739939i	$0.265146\pi$
$930$	0.643681	+	2.93045i	0.0211071	+	0.0960934i
$931$	−1.85311	−	0.599646i	−0.0607333	−	0.0196526i
$932$	−7.75001	+	4.47447i	−0.253860	+	0.146566i
$933$	6.66038	−	20.9815i	0.218051	−	0.686902i
$934$	−32.4601	−	56.2226i	−1.06213	−	1.83966i
$935$	−1.00443	−	0.579909i	−0.0328485	−	0.0189651i
$936$	2.46798	−	0.0669115i	0.0806685	−	0.00218707i
$937$			15.2301i			0.497546i	0.968562	+	0.248773i	$0.0800274\pi$
$937$			15.2301i			0.497546i	−0.968562	+	0.248773i	$0.919973\pi$
$938$	−30.4214	−	4.79950i	−0.993295	−	0.156709i
$939$	0.697402	−	0.636557i	0.0227589	−	0.0207733i
$940$	−0.640637	+	1.10962i	−0.0208953	+	0.0361917i
$941$	−25.4118	−	14.6715i	−0.828400	−	0.478277i	0.0249042	−	0.999690i	$-0.492072\pi$
$941$	−25.4118	−	14.6715i	−0.828400	−	0.478277i	−0.853305	+	0.521413i	$0.825405\pi$
$942$	23.9908	+	7.61567i	0.781662	+	0.248132i
$943$	15.8062	−	27.3771i	0.514720	−	0.891521i
$944$		−	48.3153i		−	1.57253i
$945$	−1.26775	+	0.679755i	−0.0412399	+	0.0221124i
$946$	27.9989	−	48.4955i	0.910322	−	1.57672i
$947$	−54.7958			−1.78063			−0.890313	−	0.455349i	$-0.849514\pi$
$947$	−54.7958			−1.78063			−0.890313	+	0.455349i	$0.849514\pi$
$948$	24.0372	+	26.3348i	0.780692	+	0.855314i
$949$	−31.2732	+	23.3751i	−1.01517	+	0.758788i
$950$	1.36794	+	2.36934i	0.0443817	+	0.0768714i
$951$	−10.3496	−	11.3389i	−0.335610	−	0.367689i
$952$	−0.906454	−	0.733128i	−0.0293783	−	0.0237608i
$953$	−22.0244	+	12.7158i	−0.713439	+	0.411904i	−0.812333	−	0.583194i	$-0.801803\pi$
$953$	−22.0244	+	12.7158i	−0.713439	+	0.411904i	0.0988940	+	0.995098i	$0.468470\pi$
$954$	15.9948	+	1.46216i	0.517850	+	0.0473391i
$955$	−1.55417			−0.0502917
$956$	2.97098			0.0960884
$957$	−7.79572	−	35.4912i	−0.252000	−	1.14727i
$958$	20.2864	−	11.7123i	0.655423	−	0.378409i
$959$	−2.34286	−	1.89487i	−0.0756548	−	0.0611886i
$960$	−0.943455	+	0.861143i	−0.0304499	+	0.0277933i
$961$	−19.7800	−	34.2600i	−0.638066	−	1.10516i
$962$	−14.7517	+	34.3787i	−0.475613	+	1.10841i
$963$	3.82043	+	8.27695i	0.123112	+	0.266721i
$964$	42.7378			1.37649
$965$	−0.713569	+	1.23594i	−0.0229706	+	0.0397862i
$966$	29.9396	−	59.8477i	0.963290	−	1.92557i
$967$		−	47.4669i		−	1.52643i	−0.646144	−	0.763216i	$-0.723619\pi$
$967$		−	47.4669i		−	1.52643i	0.646144	−	0.763216i	$-0.276381\pi$
$968$	−2.50698	+	4.34221i	−0.0805773	+	0.139564i
$969$	−0.281499	+	0.886777i	−0.00904306	+	0.0284874i
$970$	1.33172	+	0.768871i	0.0427591	+	0.0246870i
$971$	−17.8345	+	30.8903i	−0.572337	+	0.991316i	0.423989	+	0.905667i	$0.360630\pi$
$971$	−17.8345	+	30.8903i	−0.572337	+	0.991316i	−0.996325	+	0.0856486i	$0.972704\pi$
$972$	13.8153	−	25.9196i	0.443126	−	0.831372i
$973$	−0.0129382	−	0.00204123i	−0.000414781	−	6.54388e-5i
$974$			35.1187i			1.12527i
$975$	−20.3729	+	23.5728i	−0.652456	+	0.754934i
$976$	−18.8830	−	10.9021i	−0.604429	−	0.348967i
$977$	−9.23146	−	15.9894i	−0.295341	−	0.511545i	0.679723	−	0.733469i	$-0.262100\pi$
$977$	−9.23146	−	15.9894i	−0.295341	−	0.511545i	−0.975064	+	0.221923i	$0.928766\pi$
$978$	−15.8021	−	5.01624i	−0.505296	−	0.160402i
$979$	−53.3770	+	30.8172i	−1.70594	+	0.984922i
$980$	0.924676	+	1.02447i	0.0295377	+	0.0327256i
$981$	47.4349	+	4.33624i	1.51448	+	0.138446i
$982$	33.7719	+	19.4982i	1.07771	+	0.622214i
$983$	4.30184	+	2.48367i	0.137207	+	0.0792167i	0.567032	−	0.823696i	$-0.308091\pi$
$983$	4.30184	+	2.48367i	0.137207	+	0.0792167i	−0.429825	+	0.902912i	$0.641425\pi$
$984$	1.60764	+	0.510332i	0.0512498	+	0.0162688i
$985$		−	0.392206i		−	0.0124967i
$986$	−12.0394	−	6.95097i	−0.383414	−	0.221364i
$987$	29.7287	−	1.77815i	0.946274	−	0.0565990i
$988$	−1.51407	+	1.13169i	−0.0481689	+	0.0360037i
$989$	−31.7541	+	18.3332i	−1.00972	+	0.582963i
$990$	3.53737	+	0.323368i	0.112425	+	0.0102773i
$991$	17.2661	+	29.9057i	0.548474	+	0.949985i	0.998379	+	0.0569088i	$0.0181244\pi$
$991$	17.2661	+	29.9057i	0.548474	+	0.949985i	−0.449905	+	0.893076i	$0.648542\pi$
$992$	32.9990	−	57.1560i	1.04772	−	1.81470i
$993$	45.5348	+	14.4546i	1.44500	+	0.458703i
$994$	−9.08865	+	57.6080i	−0.288274	+	1.82721i
$995$	−0.290528	−	0.503210i	−0.00921037	−	0.0159528i
$996$	7.39655	+	33.6739i	0.234369	+	1.06700i
$997$			58.8330i			1.86326i	0.363408	+	0.931630i	$0.381613\pi$
$997$			58.8330i			1.86326i	−0.363408	+	0.931630i	$0.618387\pi$
$998$	19.9961	−	11.5447i	0.632965	−	0.365442i
$999$	−16.5260	−	21.7997i	−0.522860	−	0.689711i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.br.b.17.6	yes	64
3.2	odd	2	inner	273.2.br.b.17.27	yes	64
7.5	odd	6		273.2.y.b.173.27	yes	64
13.10	even	6		273.2.y.b.101.6	✓	64
21.5	even	6		273.2.y.b.173.6	yes	64
39.23	odd	6		273.2.y.b.101.27	yes	64
91.75	odd	6	inner	273.2.br.b.257.27	yes	64
273.257	even	6	inner	273.2.br.b.257.6	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.y.b.101.6	✓	64	13.10	even	6
273.2.y.b.101.27	yes	64	39.23	odd	6
273.2.y.b.173.6	yes	64	21.5	even	6
273.2.y.b.173.27	yes	64	7.5	odd	6
273.2.br.b.17.6	yes	64	1.1	even	1	trivial
273.2.br.b.17.27	yes	64	3.2	odd	2	inner
273.2.br.b.257.6	yes	64	273.257	even	6	inner
273.2.br.b.257.27	yes	64	91.75	odd	6	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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.br (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q-1.97083 q^{2} +(1.69172 - 0.371591i) q^{3} +1.88419 q^{4} +(0.0906165 - 0.0523174i) q^{5} +(-3.33410 + 0.732343i) q^{6} +(-2.05714 - 1.66379i) q^{7} +0.228249 q^{8} +(2.72384 - 1.25726i) q^{9} +O(q^{10})\)	\(q-1.97083 q^{2} +(1.69172 - 0.371591i) q^{3} +1.88419 q^{4} +(0.0906165 - 0.0523174i) q^{5} +(-3.33410 + 0.732343i) q^{6} +(-2.05714 - 1.66379i) q^{7} +0.228249 q^{8} +(2.72384 - 1.25726i) q^{9} +(-0.178590 + 0.103109i) q^{10} +(-2.87085 - 4.97245i) q^{11} +(3.18752 - 0.700146i) q^{12} +(3.31340 + 1.42176i) q^{13} +(4.05428 + 3.27905i) q^{14} +(0.133857 - 0.122179i) q^{15} -4.21821 q^{16} +1.93052 q^{17} +(-5.36824 + 2.47784i) q^{18} +(-0.139123 + 0.240968i) q^{19} +(0.170738 - 0.0985758i) q^{20} +(-4.09835 - 2.05025i) q^{21} +(5.65796 + 9.79988i) q^{22} -7.40949i q^{23} +(0.386133 - 0.0848151i) q^{24} +(-2.49453 + 4.32065i) q^{25} +(-6.53016 - 2.80204i) q^{26} +(4.14079 - 3.13908i) q^{27} +(-3.87603 - 3.13488i) q^{28} +(3.16433 + 1.82693i) q^{29} +(-0.263810 + 0.240794i) q^{30} +(4.20000 - 7.27462i) q^{31} +7.85690 q^{32} +(-6.70439 - 7.34522i) q^{33} -3.80473 q^{34} +(-0.273456 - 0.0431423i) q^{35} +(5.13222 - 2.36890i) q^{36} -5.26461i q^{37} +(0.274188 - 0.474907i) q^{38} +(6.13366 + 1.17399i) q^{39} +(0.0206831 - 0.0119414i) q^{40} +(3.69487 + 2.13323i) q^{41} +(8.07717 + 4.04070i) q^{42} +(-2.47429 - 4.28560i) q^{43} +(-5.40921 - 9.36903i) q^{44} +(0.181048 - 0.256432i) q^{45} +14.6029i q^{46} +(-5.62823 + 3.24946i) q^{47} +(-7.13604 + 1.56745i) q^{48} +(1.46363 + 6.84528i) q^{49} +(4.91630 - 8.51527i) q^{50} +(3.26590 - 0.717362i) q^{51} +(6.24306 + 2.67885i) q^{52} +(-2.35258 - 1.35826i) q^{53} +(-8.16082 + 6.18660i) q^{54} +(-0.520292 - 0.300391i) q^{55} +(-0.469539 - 0.379757i) q^{56} +(-0.145816 + 0.459347i) q^{57} +(-6.23638 - 3.60057i) q^{58} +11.4540i q^{59} +(0.252212 - 0.230208i) q^{60} +(4.47653 + 2.58452i) q^{61} +(-8.27751 + 14.3371i) q^{62} +(-7.69512 - 1.94554i) q^{63} -7.04822 q^{64} +(0.374631 - 0.0445140i) q^{65} +(13.2132 + 14.4762i) q^{66} +(-5.11505 + 2.95317i) q^{67} +3.63745 q^{68} +(-2.75330 - 12.5348i) q^{69} +(0.538936 + 0.0850263i) q^{70} +(5.59233 + 9.68619i) q^{71} +(0.621714 - 0.286967i) q^{72} +(-5.41439 + 9.37800i) q^{73} +10.3757i q^{74} +(-2.61453 + 8.23627i) q^{75} +(-0.262133 + 0.454028i) q^{76} +(-2.36737 + 15.0055i) q^{77} +(-12.0884 - 2.31373i) q^{78} +(5.46274 + 9.46175i) q^{79} +(-0.382240 + 0.220686i) q^{80} +(5.83862 - 6.84913i) q^{81} +(-7.28197 - 4.20425i) q^{82} +10.5643i q^{83} +(-7.72206 - 3.86305i) q^{84} +(0.174937 - 0.101000i) q^{85} +(4.87642 + 8.44620i) q^{86} +(6.03204 + 1.91482i) q^{87} +(-0.655268 - 1.13496i) q^{88} -10.7345i q^{89} +(-0.356816 + 0.505386i) q^{90} +(-4.45062 - 8.43754i) q^{91} -13.9609i q^{92} +(4.40205 - 13.8673i) q^{93} +(11.0923 - 6.40415i) q^{94} +0.0291142i q^{95} +(13.2917 - 2.91955i) q^{96} +(-3.72844 - 6.45784i) q^{97} +(-2.88457 - 13.4909i) q^{98} +(-14.0714 - 9.93478i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 6 q^{3} + 56 q^{4} - 6 q^{7}+O(q^{10}) \) 64 * q - 6 * q^3 + 56 * q^4 - 6 * q^7	\( 64 q - 6 q^{3} + 56 q^{4} - 6 q^{7} - 6 q^{10} - 6 q^{12} - 12 q^{13} - 9 q^{15} + 16 q^{16} - 36 q^{18} - 12 q^{21} - 18 q^{22} - 12 q^{24} + 16 q^{25} + 18 q^{28} - 22 q^{30} + 36 q^{31} - 15 q^{33} - 24 q^{34} - 4 q^{36} - 9 q^{39} - 54 q^{40} + 39 q^{42} - 12 q^{43} - 6 q^{45} - 54 q^{48} + 2 q^{49} - 14 q^{51} - 48 q^{52} + 18 q^{54} + 42 q^{55} + 30 q^{58} - 9 q^{60} + 6 q^{61} + 3 q^{63} - 28 q^{64} - 9 q^{66} + 48 q^{67} - 39 q^{69} - 84 q^{70} - 123 q^{72} - 12 q^{73} + 18 q^{76} - 11 q^{78} + 4 q^{79} - 66 q^{82} + 27 q^{84} - 30 q^{85} - 30 q^{88} + 130 q^{91} + 84 q^{94} - 24 q^{96} - 12 q^{97}+O(q^{100}) \) 64 * q - 6 * q^3 + 56 * q^4 - 6 * q^7 - 6 * q^10 - 6 * q^12 - 12 * q^13 - 9 * q^15 + 16 * q^16 - 36 * q^18 - 12 * q^21 - 18 * q^22 - 12 * q^24 + 16 * q^25 + 18 * q^28 - 22 * q^30 + 36 * q^31 - 15 * q^33 - 24 * q^34 - 4 * q^36 - 9 * q^39 - 54 * q^40 + 39 * q^42 - 12 * q^43 - 6 * q^45 - 54 * q^48 + 2 * q^49 - 14 * q^51 - 48 * q^52 + 18 * q^54 + 42 * q^55 + 30 * q^58 - 9 * q^60 + 6 * q^61 + 3 * q^63 - 28 * q^64 - 9 * q^66 + 48 * q^67 - 39 * q^69 - 84 * q^70 - 123 * q^72 - 12 * q^73 + 18 * q^76 - 11 * q^78 + 4 * q^79 - 66 * q^82 + 27 * q^84 - 30 * q^85 - 30 * q^88 + 130 * q^91 + 84 * q^94 - 24 * q^96 - 12 * q^97

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