LMFDB - Embedded newform 182.2.w.a.171.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [182,2,Mod(19,182)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(182, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 5]))

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

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

chi := DirichletCharacter("182.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 182 = 2 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	182.w (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.45327731679$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			171.3
Character	$\chi$	$=$	182.171
Dual form			182.2.w.a.33.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.258819 - 0.965926i) q^{2} +0.0362614i q^{3} +(-0.866025 + 0.500000i) q^{4} +(-0.869631 + 3.24551i) q^{5} +(0.0350259 - 0.00938515i) q^{6} +(-0.965718 + 2.46321i) q^{7} +(0.707107 + 0.707107i) q^{8} +2.99869 q^{9} +O(q^{10})$	\(q+(-0.258819 - 0.965926i) q^{2} +0.0362614i q^{3} +(-0.866025 + 0.500000i) q^{4} +(-0.869631 + 3.24551i) q^{5} +(0.0350259 - 0.00938515i) q^{6} +(-0.965718 + 2.46321i) q^{7} +(0.707107 + 0.707107i) q^{8} +2.99869 q^{9} +3.36000 q^{10} +(2.20538 + 2.20538i) q^{11} +(-0.0181307 - 0.0314033i) q^{12} +(-3.42713 - 1.12018i) q^{13} +(2.62922 + 0.295287i) q^{14} +(-0.117687 - 0.0315341i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-2.97332 - 5.14994i) q^{17} +(-0.776117 - 2.89651i) q^{18} +(1.46894 + 1.46894i) q^{19} +(-0.869631 - 3.24551i) q^{20} +(-0.0893194 - 0.0350183i) q^{21} +(1.55944 - 2.70103i) q^{22} +(5.64099 + 3.25683i) q^{23} +(-0.0256407 + 0.0256407i) q^{24} +(-5.44693 - 3.14479i) q^{25} +(-0.195004 + 3.60027i) q^{26} +0.217521i q^{27} +(-0.395268 - 2.61606i) q^{28} +(2.68213 + 4.64559i) q^{29} +0.121838i q^{30} +(-2.23226 + 0.598133i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(-0.0799704 + 0.0799704i) q^{33} +(-4.20491 + 4.20491i) q^{34} +(-7.15454 - 5.27633i) q^{35} +(-2.59694 + 1.49934i) q^{36} +(2.90738 - 0.779030i) q^{37} +(1.03869 - 1.79907i) q^{38} +(0.0406193 - 0.124273i) q^{39} +(-2.90984 + 1.68000i) q^{40} +(1.87632 - 7.00254i) q^{41} +(-0.0107075 + 0.0953393i) q^{42} +(-6.96121 - 4.01906i) q^{43} +(-3.01261 - 0.807227i) q^{44} +(-2.60775 + 9.73226i) q^{45} +(1.68586 - 6.29171i) q^{46} +(5.13313 + 1.37542i) q^{47} +(0.0314033 + 0.0181307i) q^{48} +(-5.13478 - 4.75752i) q^{49} +(-1.62786 + 6.07527i) q^{50} +(0.186744 - 0.107817i) q^{51} +(3.52807 - 0.743460i) q^{52} +(2.87612 - 4.98159i) q^{53} +(0.210109 - 0.0562986i) q^{54} +(-9.07546 + 5.23972i) q^{55} +(-2.42462 + 1.05889i) q^{56} +(-0.0532657 + 0.0532657i) q^{57} +(3.79311 - 3.79311i) q^{58} +(11.0441 + 2.95927i) q^{59} +(0.117687 - 0.0315341i) q^{60} -3.25809i q^{61} +(1.15550 + 2.00139i) q^{62} +(-2.89588 + 7.38638i) q^{63} +1.00000i q^{64} +(6.61588 - 10.1486i) q^{65} +(0.0979433 + 0.0565476i) q^{66} +(-4.83671 + 4.83671i) q^{67} +(5.14994 + 2.97332i) q^{68} +(-0.118097 + 0.204550i) q^{69} +(-3.24481 + 8.27637i) q^{70} +(-4.14510 - 15.4697i) q^{71} +(2.12039 + 2.12039i) q^{72} +(-3.01436 - 11.2497i) q^{73} +(-1.50497 - 2.60669i) q^{74} +(0.114035 - 0.197514i) q^{75} +(-2.00660 - 0.537668i) q^{76} +(-7.56210 + 3.30254i) q^{77} +(-0.130551 - 0.00707111i) q^{78} +(4.09800 + 7.09795i) q^{79} +(2.37588 + 2.37588i) q^{80} +8.98817 q^{81} -7.24956 q^{82} +(9.96984 + 9.96984i) q^{83} +(0.0948620 - 0.0143330i) q^{84} +(19.2999 - 5.17138i) q^{85} +(-2.08042 + 7.76422i) q^{86} +(-0.168456 + 0.0972580i) q^{87} +3.11888i q^{88} +(2.92954 + 10.9332i) q^{89} +10.0756 q^{90} +(6.06887 - 7.35995i) q^{91} -6.51366 q^{92} +(-0.0216892 - 0.0809451i) q^{93} -5.31420i q^{94} +(-6.04487 + 3.49001i) q^{95} +(0.00938515 - 0.0350259i) q^{96} +(1.69806 - 0.454993i) q^{97} +(-3.26644 + 6.19115i) q^{98} +(6.61325 + 6.61325i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 8 q^{7} - 48 q^{9}+O(q^{10}) $ 40 * q - 8 * q^7 - 48 * q^9	$ 40 q - 8 q^{7} - 48 q^{9} - 12 q^{11} - 4 q^{12} - 4 q^{14} - 16 q^{15} + 20 q^{16} - 8 q^{18} + 16 q^{19} + 24 q^{21} + 4 q^{22} + 8 q^{28} + 4 q^{29} + 16 q^{31} - 24 q^{33} - 20 q^{35} - 24 q^{36} + 40 q^{37} + 12 q^{39} + 24 q^{41} + 24 q^{42} - 72 q^{43} + 12 q^{46} + 36 q^{47} - 28 q^{49} + 24 q^{51} - 16 q^{52} - 4 q^{53} + 12 q^{55} - 12 q^{56} - 12 q^{57} - 32 q^{58} + 16 q^{60} + 36 q^{62} + 16 q^{63} - 52 q^{65} - 16 q^{67} - 12 q^{68} - 84 q^{69} - 88 q^{70} + 28 q^{71} - 16 q^{72} - 76 q^{73} - 20 q^{74} + 28 q^{75} - 32 q^{76} + 8 q^{78} - 16 q^{79} - 8 q^{81} + 96 q^{82} + 108 q^{83} + 32 q^{84} + 56 q^{85} - 32 q^{86} + 24 q^{87} + 48 q^{89} + 44 q^{91} + 32 q^{92} + 48 q^{93} + 24 q^{95} - 88 q^{97} - 8 q^{98} + 28 q^{99}+O(q^{100}) $ 40 * q - 8 * q^7 - 48 * q^9 - 12 * q^11 - 4 * q^12 - 4 * q^14 - 16 * q^15 + 20 * q^16 - 8 * q^18 + 16 * q^19 + 24 * q^21 + 4 * q^22 + 8 * q^28 + 4 * q^29 + 16 * q^31 - 24 * q^33 - 20 * q^35 - 24 * q^36 + 40 * q^37 + 12 * q^39 + 24 * q^41 + 24 * q^42 - 72 * q^43 + 12 * q^46 + 36 * q^47 - 28 * q^49 + 24 * q^51 - 16 * q^52 - 4 * q^53 + 12 * q^55 - 12 * q^56 - 12 * q^57 - 32 * q^58 + 16 * q^60 + 36 * q^62 + 16 * q^63 - 52 * q^65 - 16 * q^67 - 12 * q^68 - 84 * q^69 - 88 * q^70 + 28 * q^71 - 16 * q^72 - 76 * q^73 - 20 * q^74 + 28 * q^75 - 32 * q^76 + 8 * q^78 - 16 * q^79 - 8 * q^81 + 96 * q^82 + 108 * q^83 + 32 * q^84 + 56 * q^85 - 32 * q^86 + 24 * q^87 + 48 * q^89 + 44 * q^91 + 32 * q^92 + 48 * q^93 + 24 * q^95 - 88 * q^97 - 8 * q^98 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/182\mathbb{Z}\right)^\times$.

$n$	$15$	$157$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.258819	−	0.965926i	−0.183013	−	0.683013i
$2$	−0.258819	−	0.965926i	−0.183013	−	0.683013i
$3$			0.0362614i			0.0209355i	0.999945	+	0.0104678i	$0.00333206\pi$
$3$			0.0362614i			0.0209355i	−0.999945	+	0.0104678i	$0.996668\pi$
$4$	−0.866025	+	0.500000i	−0.433013	+	0.250000i
$5$	−0.869631	+	3.24551i	−0.388911	+	1.45144i	0.442998	+	0.896523i	$0.353915\pi$
$5$	−0.869631	+	3.24551i	−0.388911	+	1.45144i	−0.831909	+	0.554912i	$0.812752\pi$
$6$	0.0350259	−	0.00938515i	0.0142992	−	0.00383147i
$7$	−0.965718	+	2.46321i	−0.365007	+	0.931005i
$7$	−0.965718	+	2.46321i	−0.365007	+	0.931005i
$8$	0.707107	+	0.707107i	0.250000	+	0.250000i
$9$	2.99869			0.999562
$10$	3.36000			1.06252
$11$	2.20538	+	2.20538i	0.664948	+	0.664948i	0.956542	−	0.291594i	$-0.0941856\pi$
$11$	2.20538	+	2.20538i	0.664948	+	0.664948i	−0.291594	+	0.956542i	$0.594186\pi$
$12$	−0.0181307	−	0.0314033i	−0.00523389	−	0.00906536i
$13$	−3.42713	−	1.12018i	−0.950514	−	0.310682i
$13$	−3.42713	−	1.12018i	−0.950514	−	0.310682i
$14$	2.62922	+	0.295287i	0.702689	+	0.0789187i
$15$	−0.117687	−	0.0315341i	−0.0303866	−	0.00814206i
$16$	0.500000	−	0.866025i	0.125000	−	0.216506i
$17$	−2.97332	−	5.14994i	−0.721136	−	1.24904i	−0.960545	−	0.278125i	$-0.910287\pi$
$17$	−2.97332	−	5.14994i	−0.721136	−	1.24904i	0.239409	−	0.970919i	$-0.423046\pi$
$18$	−0.776117	−	2.89651i	−0.182932	−	0.682713i
$19$	1.46894	+	1.46894i	0.336997	+	0.336997i	0.855236	−	0.518239i	$-0.173412\pi$
$19$	1.46894	+	1.46894i	0.336997	+	0.336997i	−0.518239	+	0.855236i	$0.673412\pi$
$20$	−0.869631	−	3.24551i	−0.194455	−	0.725718i
$21$	−0.0893194	−	0.0350183i	−0.0194911	−	0.00764162i
$22$	1.55944	−	2.70103i	0.332474	−	0.575862i
$23$	5.64099	+	3.25683i	1.17623	+	0.679096i	0.955139	−	0.296158i	$-0.0957055\pi$
$23$	5.64099	+	3.25683i	1.17623	+	0.679096i	0.221089	+	0.975254i	$0.429039\pi$
$24$	−0.0256407	+	0.0256407i	−0.00523389	+	0.00523389i
$25$	−5.44693	−	3.14479i	−1.08939	−	0.628958i
$26$	−0.195004	+	3.60027i	−0.0382434	+	0.706072i
$27$			0.217521i			0.0418619i
$28$	−0.395268	−	2.61606i	−0.0746986	−	0.494389i
$29$	2.68213	+	4.64559i	0.498060	+	0.862665i	0.999997	−	0.00223908i	$-0.000712721\pi$
$29$	2.68213	+	4.64559i	0.498060	+	0.862665i	−0.501938	+	0.864904i	$0.667379\pi$
$30$			0.121838i			0.0222445i
$31$	−2.23226	+	0.598133i	−0.400926	+	0.107428i	−0.453647	−	0.891181i	$-0.649877\pi$
$31$	−2.23226	+	0.598133i	−0.400926	+	0.107428i	0.0527208	+	0.998609i	$0.483211\pi$
$32$	−0.965926	−	0.258819i	−0.170753	−	0.0457532i
$33$	−0.0799704	+	0.0799704i	−0.0139211	+	0.0139211i
$34$	−4.20491	+	4.20491i	−0.721136	+	0.721136i
$35$	−7.15454	−	5.27633i	−1.20934	−	0.891862i
$36$	−2.59694	+	1.49934i	−0.432823	+	0.249890i
$37$	2.90738	−	0.779030i	0.477970	−	0.128072i	−0.0117870	−	0.999931i	$-0.503752\pi$
$37$	2.90738	−	0.779030i	0.477970	−	0.128072i	0.489757	+	0.871859i	$0.337085\pi$
$38$	1.03869	−	1.79907i	0.168498	−	0.291848i
$39$	0.0406193	−	0.124273i	0.00650429	−	0.0198995i
$40$	−2.90984	+	1.68000i	−0.460086	+	0.265631i
$41$	1.87632	−	7.00254i	0.293033	−	1.09361i	−0.649735	−	0.760161i	$-0.725120\pi$
$41$	1.87632	−	7.00254i	0.293033	−	1.09361i	0.942767	−	0.333451i	$-0.108213\pi$
$42$	−0.0107075	+	0.0953393i	−0.00165221	+	0.0147112i
$43$	−6.96121	−	4.01906i	−1.06157	−	0.612900i	−0.135707	−	0.990749i	$-0.543331\pi$
$43$	−6.96121	−	4.01906i	−1.06157	−	0.612900i	−0.925867	+	0.377849i	$0.876664\pi$
$44$	−3.01261	−	0.807227i	−0.454168	−	0.121694i
$45$	−2.60775	+	9.73226i	−0.388740	+	1.45080i
$46$	1.68586	−	6.29171i	0.248566	−	0.927662i
$47$	5.13313	+	1.37542i	0.748743	+	0.200625i	0.612961	−	0.790113i	$-0.289978\pi$
$47$	5.13313	+	1.37542i	0.748743	+	0.200625i	0.135783	+	0.990739i	$0.456645\pi$
$48$	0.0314033	+	0.0181307i	0.00453268	+	0.00261694i
$49$	−5.13478	−	4.75752i	−0.733540	−	0.679646i
$50$	−1.62786	+	6.07527i	−0.230215	+	0.859172i
$51$	0.186744	−	0.107817i	0.0261494	−	0.0150974i
$52$	3.52807	−	0.743460i	0.489255	−	0.103099i
$53$	2.87612	−	4.98159i	0.395066	−	0.684274i	−0.598044	−	0.801463i	$-0.704055\pi$
$53$	2.87612	−	4.98159i	0.395066	−	0.684274i	0.993110	+	0.117190i	$0.0373885\pi$
$54$	0.210109	−	0.0562986i	0.0285922	−	0.00766126i
$55$	−9.07546	+	5.23972i	−1.22374	+	0.706524i
$56$	−2.42462	+	1.05889i	−0.324003	+	0.141499i
$57$	−0.0532657	+	0.0532657i	−0.00705521	+	0.00705521i
$58$	3.79311	−	3.79311i	0.498060	−	0.498060i
$59$	11.0441	+	2.95927i	1.43782	+	0.385264i	0.891771	−	0.452487i	$-0.149463\pi$
$59$	11.0441	+	2.95927i	1.43782	+	0.385264i	0.546053	+	0.837750i	$0.316130\pi$
$60$	0.117687	−	0.0315341i	0.0151933	−	0.00407103i
$61$		−	3.25809i		−	0.417156i	−0.978006	−	0.208578i	$-0.933116\pi$
$61$		−	3.25809i		−	0.417156i	0.978006	−	0.208578i	$-0.0668835\pi$
$62$	1.15550	+	2.00139i	0.146749	+	0.254177i
$63$	−2.89588	+	7.38638i	−0.364847	+	0.930597i
$64$			1.00000i			0.125000i
$65$	6.61588	−	10.1486i	0.820599	−	1.25878i
$66$	0.0979433	+	0.0565476i	0.0120560	+	0.00696053i
$67$	−4.83671	+	4.83671i	−0.590898	+	0.590898i	−0.937874	−	0.346976i	$-0.887208\pi$
$67$	−4.83671	+	4.83671i	−0.590898	+	0.590898i	0.346976	+	0.937874i	$0.387208\pi$
$68$	5.14994	+	2.97332i	0.624522	+	0.360568i
$69$	−0.118097	+	0.204550i	−0.0142172	+	0.0246250i
$70$	−3.24481	+	8.27637i	−0.387829	+	0.989215i
$71$	−4.14510	−	15.4697i	−0.491933	−	1.83592i	−0.546570	−	0.837413i	$-0.684067\pi$
$71$	−4.14510	−	15.4697i	−0.491933	−	1.83592i	0.0546373	−	0.998506i	$-0.482600\pi$
$72$	2.12039	+	2.12039i	0.249890	+	0.249890i
$73$	−3.01436	−	11.2497i	−0.352804	−	1.31668i	−0.883226	−	0.468948i	$-0.844633\pi$
$73$	−3.01436	−	11.2497i	−0.352804	−	1.31668i	0.530422	−	0.847734i	$-0.322034\pi$
$74$	−1.50497	−	2.60669i	−0.174949	−	0.303021i
$75$	0.114035	−	0.197514i	0.0131676	−	0.0228069i
$76$	−2.00660	−	0.537668i	−0.230173	−	0.0616747i
$77$	−7.56210	+	3.30254i	−0.861781	+	0.376359i
$78$	−0.130551	−	0.00707111i	−0.0147820	−	0.000800646i
$79$	4.09800	+	7.09795i	0.461061	+	0.798581i	0.999014	−	0.0443936i	$-0.0141356\pi$
$79$	4.09800	+	7.09795i	0.461061	+	0.798581i	−0.537953	+	0.842975i	$0.680802\pi$
$80$	2.37588	+	2.37588i	0.265631	+	0.265631i
$81$	8.98817			0.998685
$82$	−7.24956			−0.800580
$83$	9.96984	+	9.96984i	1.09433	+	1.09433i	0.995060	+	0.0992713i	$0.0316512\pi$
$83$	9.96984	+	9.96984i	1.09433	+	1.09433i	0.0992713	+	0.995060i	$0.468349\pi$
$84$	0.0948620	−	0.0143330i	0.0103503	−	0.00156386i
$85$	19.2999	−	5.17138i	2.09336	−	0.560915i
$86$	−2.08042	+	7.76422i	−0.224337	+	0.837237i
$87$	−0.168456	+	0.0972580i	−0.0180604	+	0.0104272i
$88$			3.11888i			0.332474i
$89$	2.92954	+	10.9332i	0.310530	+	1.15891i	0.928079	+	0.372382i	$0.121459\pi$
$89$	2.92954	+	10.9332i	0.310530	+	1.15891i	−0.617549	+	0.786532i	$0.711874\pi$
$90$	10.0756			1.06206
$91$	6.06887	−	7.35995i	0.636190	−	0.771532i
$92$	−6.51366			−0.679096
$93$	−0.0216892	−	0.0809451i	−0.00224906	−	0.00839361i
$94$		−	5.31420i		−	0.548118i
$95$	−6.04487	+	3.49001i	−0.620191	+	0.358067i
$96$	0.00938515	−	0.0350259i	0.000957868	−	0.00357481i
$97$	1.69806	−	0.454993i	0.172412	−	0.0461975i	−0.171580	−	0.985170i	$-0.554887\pi$
$97$	1.69806	−	0.454993i	0.172412	−	0.0461975i	0.343992	+	0.938973i	$0.388221\pi$
$98$	−3.26644	+	6.19115i	−0.329960	+	0.625401i
$99$	6.61325	+	6.61325i	0.664657	+	0.664657i
$100$	6.28958			0.628958
$101$	−0.212453			−0.0211399			−0.0105699	−	0.999944i	$-0.503365\pi$
$101$	−0.212453			−0.0211399			−0.0105699	+	0.999944i	$0.503365\pi$
$102$	−0.152476	−	0.152476i	−0.0150974	−	0.0150974i
$103$	1.25611	+	2.17565i	0.123768	+	0.214373i	0.921251	−	0.388969i	$-0.127169\pi$
$103$	1.25611	+	2.17565i	0.123768	+	0.214373i	−0.797482	+	0.603342i	$0.793835\pi$
$104$	−1.63126	−	3.21543i	−0.159958	−	0.315299i
$105$	0.191327	−	0.259434i	0.0186716	−	0.0253182i
$106$	−5.55624	−	1.48879i	−0.539670	−	0.144604i
$107$	3.27105	−	5.66563i	0.316224	−	0.547717i	−0.663473	−	0.748201i	$-0.730918\pi$
$107$	3.27105	−	5.66563i	0.316224	−	0.547717i	0.979697	+	0.200484i	$0.0642514\pi$
$108$	−0.108760	−	0.188379i	−0.0104655	−	0.0181267i
$109$	−0.686823	−	2.56326i	−0.0657857	−	0.245516i	0.925201	−	0.379478i	$-0.123896\pi$
$109$	−0.686823	−	2.56326i	−0.0657857	−	0.245516i	−0.990986	+	0.133963i	$0.957230\pi$
$110$	7.41008	+	7.41008i	0.706524	+	0.706524i
$111$	0.0282488	+	0.105426i	0.00268125	+	0.0100066i
$112$	1.65034	+	2.06794i	0.155943	+	0.195402i
$113$	5.80234	−	10.0500i	0.545839	−	0.945420i	−0.452715	−	0.891655i	$-0.649545\pi$
$113$	5.80234	−	10.0500i	0.545839	−	0.945420i	0.998554	−	0.0537649i	$-0.0171222\pi$
$114$	0.0652369	+	0.0376645i	0.00611000	+	0.00352761i
$115$	−15.4756	+	15.4756i	−1.44311	+	1.44311i
$116$	−4.64559	−	2.68213i	−0.431332	−	0.249030i
$117$	−10.2769	−	3.35906i	−0.950097	−	0.310545i
$118$		−	11.4337i		−	1.05256i
$119$	15.5568	−	2.35051i	1.42609	−	0.215471i
$120$	−0.0609191	−	0.105515i	−0.00556113	−	0.00963216i
$121$		−	1.27256i		−	0.115687i
$122$	−3.14708	+	0.843256i	−0.284923	+	0.0763448i
$123$	0.253922	+	0.0680382i	0.0228954	+	0.00613480i
$124$	1.63413	−	1.63413i	0.146749	−	0.146749i
$125$	3.06388	−	3.06388i	0.274042	−	0.274042i
$126$	7.88421	+	0.885471i	0.702381	+	0.0788841i
$127$	−5.04346	+	2.91184i	−0.447535	+	0.258384i	−0.706789	−	0.707425i	$-0.749857\pi$
$127$	−5.04346	+	2.91184i	−0.447535	+	0.258384i	0.259254	+	0.965809i	$0.416523\pi$
$128$	0.965926	−	0.258819i	0.0853766	−	0.0228766i
$129$	0.145737	−	0.252423i	0.0128314	−	0.0222246i
$130$	−11.5151	−	3.76380i	−1.00994	−	0.330107i
$131$	−2.44971	+	1.41434i	−0.214032	+	0.123571i	−0.603184	−	0.797602i	$-0.706101\pi$
$131$	−2.44971	+	1.41434i	−0.214032	+	0.123571i	0.389152	+	0.921174i	$0.372768\pi$
$132$	0.0292712	−	0.109242i	0.00254773	−	0.00950826i
$133$	−5.03687	+	2.19972i	−0.436752	+	0.190740i
$134$	5.92373	+	3.42007i	0.511732	+	0.295449i
$135$	−0.705966	−	0.189163i	−0.0607599	−	0.0162806i
$136$	1.53910	−	5.74401i	0.131977	−	0.492545i
$137$	−2.76573	+	10.3218i	−0.236292	+	0.881855i	0.741270	+	0.671207i	$0.234224\pi$
$137$	−2.76573	+	10.3218i	−0.236292	+	0.881855i	−0.977562	+	0.210648i	$0.932443\pi$
$138$	0.228146	+	0.0611316i	0.0194211	+	0.00520387i
$139$	2.88289	+	1.66444i	0.244524	+	0.141176i	0.617254	−	0.786764i	$-0.288245\pi$
$139$	2.88289	+	1.66444i	0.244524	+	0.141176i	−0.372730	+	0.927940i	$0.621578\pi$
$140$	8.83418	+	0.992162i	0.746624	+	0.0838530i
$141$	−0.0498746	+	0.186135i	−0.00420020	+	0.0156754i
$142$	−13.8698	+	8.00772i	−1.16393	+	0.671993i
$143$	−5.08771	−	10.0286i	−0.425455	−	0.838630i
$144$	1.49934	−	2.59694i	0.124945	−	0.216411i
$145$	−17.4098	+	4.66493i	−1.44580	+	0.387402i
$146$	−10.0862	+	5.82329i	−0.834743	+	0.481939i
$147$	0.172515	−	0.186194i	0.0142288	−	0.0153571i
$148$	−2.12835	+	2.12835i	−0.174949	+	0.174949i
$149$	−15.5644	+	15.5644i	−1.27508	+	1.27508i	−0.331694	+	0.943387i	$0.607620\pi$
$149$	−15.5644	+	15.5644i	−1.27508	+	1.27508i	−0.943387	+	0.331694i	$0.892380\pi$
$150$	−0.220298	−	0.0590286i	−0.0179872	−	0.00481967i
$151$	4.30165	−	1.15262i	0.350063	−	0.0937992i	−0.0795027	−	0.996835i	$-0.525333\pi$
$151$	4.30165	−	1.15262i	0.350063	−	0.0937992i	0.429566	+	0.903035i	$0.358667\pi$
$152$			2.07739i			0.168498i
$153$	−8.91605	−	15.4431i	−0.720820	−	1.24850i
$154$	5.14722	+	6.44966i	0.414775	+	0.519729i
$155$		−	7.76498i		−	0.623699i
$156$	0.0269589	+	0.127933i	0.00215844	+	0.0102428i
$157$	4.00469	+	2.31211i	0.319609	+	0.184527i	0.651218	−	0.758890i	$-0.274258\pi$
$157$	4.00469	+	2.31211i	0.319609	+	0.184527i	−0.331609	+	0.943417i	$0.607591\pi$
$158$	5.79545	−	5.79545i	0.461061	−	0.461061i
$159$	0.180640	+	0.104292i	0.0143256	+	0.00827092i
$160$	1.68000	−	2.90984i	0.132816	−	0.230043i
$161$	−13.4698	+	10.7498i	−1.06157	+	0.847199i
$162$	−2.32631	−	8.68190i	−0.182772	−	0.682115i
$163$	−10.7581	−	10.7581i	−0.842643	−	0.842643i	0.146559	−	0.989202i	$-0.453180\pi$
$163$	−10.7581	−	10.7581i	−0.842643	−	0.842643i	−0.989202	+	0.146559i	$0.953180\pi$
$164$	1.87632	+	7.00254i	0.146516	+	0.546806i
$165$	−0.190000	−	0.329089i	−0.0147915	−	0.0256196i
$166$	7.04974	−	12.2105i	0.547166	−	0.947719i
$167$	−0.814446	−	0.218230i	−0.0630238	−	0.0168872i	0.227169	−	0.973855i	$-0.427053\pi$
$167$	−0.814446	−	0.218230i	−0.0630238	−	0.0168872i	−0.290193	+	0.956968i	$0.593720\pi$
$168$	−0.0383967	−	0.0879200i	−0.00296237	−	0.00678318i
$169$	10.4904	+	7.67799i	0.806954	+	0.590615i
$170$	−9.99034	−	17.3038i	−0.766224	−	1.32714i
$171$	4.40487	+	4.40487i	0.336849	+	0.336849i
$172$	8.03811			0.612900
$173$	−0.160878			−0.0122313			−0.00611566	−	0.999981i	$-0.501947\pi$
$173$	−0.160878			−0.0122313			−0.00611566	+	0.999981i	$0.501947\pi$
$174$	0.137544	+	0.137544i	0.0104272	+	0.0104272i
$175$	13.0065	−	10.3799i	0.983196	−	0.784650i
$176$	3.01261	−	0.807227i	0.227084	−	0.0608470i
$177$	−0.107307	+	0.400476i	−0.00806571	+	0.0301016i
$178$	9.80242	−	5.65943i	0.734722	−	0.424192i
$179$			0.557957i			0.0417037i	0.999783	+	0.0208518i	$0.00663783\pi$
$179$			0.557957i			0.0417037i	−0.999783	+	0.0208518i	$0.993362\pi$
$180$	−2.60775	−	9.73226i	−0.194370	−	0.725399i
$181$	16.3368			1.21431			0.607153	−	0.794585i	$-0.292311\pi$
$181$	16.3368			1.21431			0.607153	+	0.794585i	$0.292311\pi$
$182$	−8.67990	−	3.95718i	−0.643397	−	0.293326i
$183$	0.118143			0.00873339
$184$	1.68586	+	6.29171i	0.124283	+	0.463831i
$185$			10.1134i			0.743552i
$186$	−0.0725734	+	0.0419003i	−0.00532134	+	0.00307228i
$187$	4.80029	−	17.9149i	0.351032	−	1.31007i
$188$	−5.13313	+	1.37542i	−0.374372	+	0.100313i
$189$	−0.535799	−	0.210064i	−0.0389736	−	0.0152799i
$190$	4.93562	+	4.93562i	0.358067	+	0.358067i
$191$	−21.7908			−1.57673			−0.788363	−	0.615210i	$-0.789071\pi$
$191$	−21.7908			−1.57673			−0.788363	+	0.615210i	$0.789071\pi$
$192$	−0.0362614			−0.00261694
$193$	−10.8966	−	10.8966i	−0.784353	−	0.784353i	0.196209	−	0.980562i	$-0.437137\pi$
$193$	−10.8966	−	10.8966i	−0.784353	−	0.784353i	−0.980562	+	0.196209i	$0.937137\pi$
$194$	−0.878979	−	1.52244i	−0.0631070	−	0.109305i
$195$	0.368004	+	0.239901i	0.0263533	+	0.0171797i
$196$	6.82561	+	1.55275i	0.487544	+	0.110911i
$197$	−22.4365	−	6.01184i	−1.59853	−	0.428326i	−0.653934	−	0.756552i	$-0.726882\pi$
$197$	−22.4365	−	6.01184i	−1.59853	−	0.428326i	−0.944599	+	0.328226i	$0.893549\pi$
$198$	4.67628	−	8.09955i	0.332328	−	0.575610i
$199$	−7.59244	−	13.1505i	−0.538213	−	0.932213i	−0.999000	−	0.0447023i	$-0.985766\pi$
$199$	−7.59244	−	13.1505i	−0.538213	−	0.932213i	0.460787	−	0.887511i	$-0.347567\pi$
$200$	−1.62786	−	6.07527i	−0.115107	−	0.429586i
$201$	−0.175386	−	0.175386i	−0.0123708	−	0.0123708i
$202$	0.0549870	+	0.205214i	0.00386887	+	0.0144388i
$203$	−14.0332	+	2.12032i	−0.984940	+	0.148817i
$204$	−0.107817	+	0.186744i	−0.00754869	+	0.0130747i
$205$	21.0951	+	12.1792i	1.47334	+	0.850636i
$206$	1.77641	−	1.77641i	0.123768	−	0.123768i
$207$	16.9156	+	9.76620i	1.17571	+	0.678798i
$208$	−2.68367	+	2.40789i	−0.186079	+	0.166957i
$209$			6.47913i			0.448171i
$210$	−0.300113	−	0.117661i	−0.0207098	−	0.00811941i
$211$	8.38309	+	14.5199i	0.577116	+	0.999593i	0.995808	+	0.0914655i	$0.0291551\pi$
$211$	8.38309	+	14.5199i	0.577116	+	0.999593i	−0.418693	+	0.908128i	$0.637512\pi$
$212$			5.75224i			0.395066i
$213$	0.560955	−	0.150307i	0.0384360	−	0.0102989i
$214$	−6.31918	−	1.69322i	−0.431971	−	0.115746i
$215$	19.0976	−	19.0976i	1.30244	−	1.30244i
$216$	−0.153811	+	0.153811i	−0.0104655	+	0.0104655i
$217$	0.682410	−	6.07616i	0.0463250	−	0.412476i
$218$	−2.29816	+	1.32684i	−0.155651	+	0.0898650i
$219$	0.407932	−	0.109305i	0.0275655	−	0.00738614i
$220$	5.23972	−	9.07546i	0.353262	−	0.611868i
$221$	4.42109	+	20.9802i	0.297395	+	1.41128i
$222$	0.0945222	−	0.0545724i	0.00634391	−	0.00366266i
$223$	−4.46691	+	16.6707i	−0.299126	+	1.11635i	0.638759	+	0.769407i	$0.279448\pi$
$223$	−4.46691	+	16.6707i	−0.299126	+	1.11635i	−0.937885	+	0.346947i	$0.887218\pi$
$224$	1.57034	−	2.12933i	0.104923	−	0.142272i
$225$	−16.3336	−	9.43023i	−1.08891	−	0.628682i
$226$	−11.2093	−	3.00351i	−0.745629	−	0.199791i
$227$	−2.04658	+	7.63793i	−0.135836	+	0.506947i	0.864157	+	0.503222i	$0.167852\pi$
$227$	−2.04658	+	7.63793i	−0.135836	+	0.506947i	−0.999993	+	0.00372470i	$0.998814\pi$
$228$	0.0194966	−	0.0727623i	0.00129119	−	0.00481880i
$229$	14.6197	+	3.91734i	0.966097	+	0.258865i	0.707179	−	0.707034i	$-0.249967\pi$
$229$	14.6197	+	3.91734i	0.966097	+	0.258865i	0.258918	+	0.965899i	$0.416634\pi$
$230$	18.9537	+	10.9429i	1.24977	+	0.721555i
$231$	−0.119755	−	0.274212i	−0.00787929	−	0.0180419i
$232$	−1.38837	+	5.18148i	−0.0911512	+	0.340181i
$233$	−0.132599	+	0.0765563i	−0.00868688	+	0.00501537i	−0.504337	−	0.863507i	$-0.668263\pi$
$233$	−0.132599	+	0.0765563i	−0.00868688	+	0.00501537i	0.495650	+	0.868522i	$0.334930\pi$
$234$	−0.584755	+	10.7961i	−0.0382266	+	0.705762i
$235$	−8.92785	+	15.4635i	−0.582389	+	1.00873i
$236$	−11.0441	+	2.95927i	−0.718912	+	0.192632i
$237$	−0.257382	+	0.148599i	−0.0167187	+	0.00965257i
$238$	−6.29681	−	14.4183i	−0.408161	−	0.934601i
$239$	−1.78437	+	1.78437i	−0.115422	+	0.115422i	−0.762459	−	0.647037i	$-0.776008\pi$
$239$	−1.78437	+	1.78437i	−0.115422	+	0.115422i	0.647037	+	0.762459i	$0.276008\pi$
$240$	−0.0861527	+	0.0861527i	−0.00556113	+	0.00556113i
$241$	−14.9968	−	4.01838i	−0.966028	−	0.258846i	−0.258878	−	0.965910i	$-0.583353\pi$
$241$	−14.9968	−	4.01838i	−0.966028	−	0.258846i	−0.707150	+	0.707064i	$0.750019\pi$
$242$	−1.22920	+	0.329363i	−0.0790159	+	0.0211722i
$243$			0.978487i			0.0627699i
$244$	1.62905	+	2.82159i	0.104289	+	0.180634i
$245$	19.9059	−	12.5277i	1.27174	−	0.800364i
$246$		−	0.262879i		−	0.0167606i
$247$	−3.38876	−	6.67970i	−0.215622	−	0.425019i
$248$	−2.00139	−	1.15550i	−0.127089	−	0.0733746i
$249$	−0.361521	+	0.361521i	−0.0229104	+	0.0229104i
$250$	−3.75247	−	2.16649i	−0.237327	−	0.137021i
$251$	0.855466	−	1.48171i	0.0539966	−	0.0935248i	−0.837764	−	0.546033i	$-0.816137\pi$
$251$	0.855466	−	1.48171i	0.0539966	−	0.0935248i	0.891760	+	0.452508i	$0.149471\pi$
$252$	−1.18528	−	7.84474i	−0.0746658	−	0.494172i
$253$	5.25800	+	19.6231i	0.330567	+	1.23369i
$254$	4.11797	+	4.11797i	0.258384	+	0.258384i
$255$	0.187522	+	0.699841i	0.0117431	+	0.0438257i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	8.81461	−	15.2673i	0.549840	−	0.952351i	−0.448445	−	0.893810i	$-0.648022\pi$
$257$	8.81461	−	15.2673i	0.549840	−	0.952351i	0.998285	−	0.0585405i	$-0.0186447\pi$
$258$	−0.281542	−	0.0754389i	−0.0175280	−	0.00469662i
$259$	−0.888795	+	7.91380i	−0.0552271	+	0.491740i
$260$	−0.655212	+	12.0969i	−0.0406345	+	0.750218i
$261$	8.04287	+	13.9307i	0.497841	+	0.862287i
$262$	2.00018	+	2.00018i	0.123571	+	0.123571i
$263$	8.27080			0.510000			0.255000	−	0.966941i	$-0.417925\pi$
$263$	8.27080			0.510000			0.255000	+	0.966941i	$0.417925\pi$
$264$	−0.113095			−0.00696053
$265$	13.6666	+	13.6666i	0.839534	+	0.839534i
$266$	3.42840	+	4.29591i	0.210209	+	0.263399i
$267$	−0.396453	+	0.106229i	−0.0242625	+	0.00650112i
$268$	1.77036	−	6.60706i	0.108142	−	0.403591i
$269$	3.27096	−	1.88849i	0.199434	−	0.115143i	−0.396957	−	0.917837i	$-0.629934\pi$
$269$	3.27096	−	1.88849i	0.199434	−	0.115143i	0.596391	+	0.802694i	$0.296601\pi$
$270$			0.730870i			0.0444793i
$271$	−2.33564	−	8.71672i	−0.141880	−	0.529503i	−0.999874	−	0.0158443i	$-0.994956\pi$
$271$	−2.33564	−	8.71672i	−0.141880	−	0.529503i	0.857995	−	0.513659i	$-0.171710\pi$
$272$	−5.94664			−0.360568
$273$	0.266882	+	0.220066i	0.0161524	+	0.0133190i
$274$	10.6860			0.645563
$275$	−5.07711	−	18.9481i	−0.306162	−	1.14261i
$276$		−	0.236194i		−	0.0142172i
$277$	17.4403	−	10.0692i	1.04789	−	0.604997i	0.125829	−	0.992052i	$-0.459841\pi$
$277$	17.4403	−	10.0692i	1.04789	−	0.604997i	0.922057	+	0.387055i	$0.126508\pi$
$278$	0.861576	−	3.21545i	0.0516739	−	0.192850i
$279$	−6.69386	+	1.79361i	−0.400751	+	0.107381i
$280$	−1.32810	−	8.78995i	−0.0793690	−	0.525300i
$281$	−15.3914	−	15.3914i	−0.918176	−	0.918176i	0.0787211	−	0.996897i	$-0.474916\pi$
$281$	−15.3914	−	15.3914i	−0.918176	−	0.918176i	−0.996897	+	0.0787211i	$0.974916\pi$
$282$	0.192701			0.0114752
$283$	−8.32566			−0.494909			−0.247455	−	0.968899i	$-0.579594\pi$
$283$	−8.32566			−0.494909			−0.247455	+	0.968899i	$0.579594\pi$
$284$	11.3246	+	11.3246i	0.671993	+	0.671993i
$285$	−0.126553	−	0.219196i	−0.00749634	−	0.0129840i
$286$	−8.37005	+	7.50993i	−0.494931	+	0.444071i
$287$	15.4367	+	11.3842i	0.911200	+	0.671991i
$288$	−2.89651	−	0.776117i	−0.170678	−	0.0457331i
$289$	−9.18126	+	15.9024i	−0.540074	+	0.935436i
$290$	9.01196	+	15.6092i	0.529200	+	0.916602i
$291$	0.0164987	+	0.0615740i	0.000967171	+	0.00360953i
$292$	8.23538	+	8.23538i	0.481939	+	0.481939i
$293$	1.93345	+	7.21572i	0.112953	+	0.421547i	0.999126	−	0.0418086i	$-0.0133120\pi$
$293$	1.93345	+	7.21572i	0.112953	+	0.421547i	−0.886172	+	0.463356i	$0.846645\pi$
$294$	−0.224500	−	0.118446i	−0.0130931	−	0.00690789i
$295$	−19.2087	+	33.2704i	−1.11837	+	1.93708i
$296$	2.60669	+	1.50497i	0.151511	+	0.0874747i
$297$	−0.479717	+	0.479717i	−0.0278360	+	0.0278360i
$298$	19.0624	+	11.0057i	1.10425	+	0.637541i
$299$	−15.6842	−	17.4805i	−0.907039	−	1.01092i
$300$			0.228069i			0.0131676i
$301$	16.6223	−	13.2656i	0.958095	−	0.764618i
$302$	−2.22670	−	3.85675i	−0.128132	−	0.221931i
$303$		−	0.00770386i		−	0.000442575i
$304$	2.00660	−	0.537668i	0.115087	−	0.0308374i
$305$	10.5742	+	2.83334i	0.605475	+	0.162236i
$306$	−12.6092	+	12.6092i	−0.720820	+	0.720820i
$307$	10.6425	−	10.6425i	0.607397	−	0.607397i	−0.334868	−	0.942265i	$-0.608692\pi$
$307$	10.6425	−	10.6425i	0.607397	−	0.607397i	0.942265	+	0.334868i	$0.108692\pi$
$308$	4.89770	−	6.64113i	0.279072	−	0.378414i
$309$	−0.0788921	+	0.0455484i	−0.00448802	+	0.00259116i
$310$	−7.50040	+	2.00973i	−0.425994	+	0.114145i
$311$	10.2358	−	17.7290i	0.580421	−	1.00532i	−0.415008	−	0.909818i	$-0.636221\pi$
$311$	10.2358	−	17.7290i	0.580421	−	1.00532i	0.995429	−	0.0955013i	$-0.0304454\pi$
$312$	0.116596	−	0.0591518i	0.00660096	−	0.00334881i
$313$	−23.6557	+	13.6576i	−1.33710	+	0.771975i	−0.986377	−	0.164503i	$-0.947398\pi$
$313$	−23.6557	+	13.6576i	−1.33710	+	0.771975i	−0.350724	+	0.936479i	$0.614064\pi$
$314$	1.19684	−	4.46666i	0.0675414	−	0.252068i
$315$	−21.4542	−	15.8220i	−1.20881	−	0.891471i
$316$	−7.09795	−	4.09800i	−0.399291	−	0.230531i
$317$	10.8213	+	2.89957i	0.607787	+	0.162856i	0.549570	−	0.835448i	$-0.314792\pi$
$317$	10.8213	+	2.89957i	0.607787	+	0.162856i	0.0582176	+	0.998304i	$0.481458\pi$
$318$	0.0539857	−	0.201477i	0.00302737	−	0.0112983i
$319$	−4.33018	+	16.1604i	−0.242443	+	0.904811i
$320$	−3.24551	−	0.869631i	−0.181429	−	0.0486139i
$321$	0.205444	+	0.118613i	0.0114667	+	0.00662033i
$322$	13.8697	+	10.2286i	0.772929	+	0.570019i
$323$	3.19732	−	11.9325i	0.177903	−	0.663945i
$324$	−7.78398	+	4.49408i	−0.432443	+	0.249671i
$325$	15.1446	+	16.8791i	0.840072	+	0.936286i
$326$	−7.60716	+	13.1760i	−0.421321	+	0.729750i
$327$	0.0929475	−	0.0249052i	0.00514001	−	0.00137726i
$328$	6.27830	−	3.62478i	0.346661	−	0.200145i
$329$	−8.34509	+	11.3157i	−0.460080	+	0.623854i
$330$	−0.268700	+	0.268700i	−0.0147915	+	0.0147915i
$331$	2.89327	−	2.89327i	0.159029	−	0.159029i	−0.623108	−	0.782136i	$-0.714130\pi$
$331$	2.89327	−	2.89327i	0.159029	−	0.159029i	0.782136	+	0.623108i	$0.214130\pi$
$332$	−13.6190	−	3.64921i	−0.747442	−	0.200277i
$333$	8.71832	−	2.33607i	0.477761	−	0.128016i
$334$			0.843177i			0.0461366i
$335$	−11.4914	−	19.9037i	−0.627843	−	1.08746i
$336$	−0.0749865	+	0.0598437i	−0.00409085	+	0.00326474i
$337$			8.73021i			0.475565i	0.971318	+	0.237783i	$0.0764205\pi$
$337$			8.73021i			0.475565i	−0.971318	+	0.237783i	$0.923579\pi$
$338$	4.70125	−	12.1202i	0.255714	−	0.659250i
$339$	0.364426	+	0.210401i	0.0197929	+	0.0114274i
$340$	−14.1285	+	14.1285i	−0.766224	+	0.766224i
$341$	−6.24211	−	3.60389i	−0.338029	−	0.195161i
$342$	3.11472	−	5.39485i	0.168425	−	0.291720i
$343$	16.6775	−	8.05360i	0.900501	−	0.434854i
$344$	−2.08042	−	7.76422i	−0.112169	−	0.418619i
$345$	−0.561169	−	0.561169i	−0.0302123	−	0.0302123i
$346$	0.0416383	+	0.155396i	0.00223849	+	0.00835415i
$347$	−6.29860	−	10.9095i	−0.338127	−	0.585652i	0.645954	−	0.763377i	$-0.276460\pi$
$347$	−6.29860	−	10.9095i	−0.338127	−	0.585652i	−0.984080	+	0.177724i	$0.943127\pi$
$348$	0.0972580	−	0.168456i	0.00521358	−	0.00903018i
$349$	−29.0996	−	7.79722i	−1.55767	−	0.417376i	−0.625743	−	0.780029i	$-0.715204\pi$
$349$	−29.0996	−	7.79722i	−1.55767	−	0.417376i	−0.931924	+	0.362654i	$0.881871\pi$
$350$	−13.3926	−	9.87675i	−0.715864	−	0.527935i
$351$	0.243662	−	0.745472i	0.0130057	−	0.0397903i
$352$	−1.55944	−	2.70103i	−0.0831185	−	0.143966i
$353$	11.1154	+	11.1154i	0.591611	+	0.591611i	0.938066	−	0.346456i	$-0.112615\pi$
$353$	11.1154	+	11.1154i	0.591611	+	0.591611i	−0.346456	+	0.938066i	$0.612615\pi$
$354$	0.414604			0.0220359
$355$	53.8118			2.85604
$356$	−8.00364	−	8.00364i	−0.424192	−	0.424192i
$357$	0.0852330	+	0.564110i	0.00451101	+	0.0298559i
$358$	0.538945	−	0.144410i	0.0284842	−	0.00763231i
$359$	1.20075	−	4.48128i	0.0633734	−	0.236513i	−0.926973	−	0.375128i	$-0.877599\pi$
$359$	1.20075	−	4.48128i	0.0633734	−	0.236513i	0.990346	+	0.138616i	$0.0442653\pi$
$360$	−8.72570	+	5.03779i	−0.459885	+	0.265515i
$361$		−	14.6845i		−	0.772866i
$362$	−4.22828	−	15.7802i	−0.222234	−	0.829387i
$363$	0.0461449			0.00242198
$364$	−1.57582	+	9.40834i	−0.0825954	+	0.493131i
$365$	39.1325			2.04829
$366$	−0.0305777	−	0.114117i	−0.00159832	−	0.00596502i
$367$		−	21.6019i		−	1.12761i	−0.825908	−	0.563805i	$-0.809337\pi$
$367$		−	21.6019i		−	1.12761i	0.825908	−	0.563805i	$-0.190663\pi$
$368$	5.64099	−	3.25683i	0.294057	−	0.169774i
$369$	5.62650	−	20.9984i	0.292904	−	1.09313i
$370$	9.76879	−	2.61754i	0.507855	−	0.136079i
$371$	9.49316	+	11.8953i	0.492860	+	0.617573i
$372$	0.0592559	+	0.0592559i	0.00307228	+	0.00307228i
$373$	−17.2769			−0.894564			−0.447282	−	0.894393i	$-0.647608\pi$
$373$	−17.2769			−0.894564			−0.447282	+	0.894393i	$0.647608\pi$
$374$	−18.5469			−0.959036
$375$	0.111101	+	0.111101i	0.00573721	+	0.00573721i
$376$	2.65710	+	4.60224i	0.137030	+	0.237342i
$377$	−3.98812	−	18.9255i	−0.205399	−	0.974713i
$378$	−0.0642310	+	0.571911i	−0.00330369	+	0.0294159i
$379$	22.8334	+	6.11818i	1.17287	+	0.314270i	0.792095	−	0.610398i	$-0.208990\pi$
$379$	22.8334	+	6.11818i	1.17287	+	0.314270i	0.380776	+	0.924667i	$0.375657\pi$
$380$	3.49001	−	6.04487i	0.179034	−	0.310095i
$381$	−0.105588	−	0.182883i	−0.00540942	−	0.00936939i
$382$	5.63987	+	21.0483i	0.288561	+	1.07692i
$383$	−25.4155	−	25.4155i	−1.29867	−	1.29867i	−0.929270	−	0.369400i	$-0.879563\pi$
$383$	−25.4155	−	25.4155i	−1.29867	−	1.29867i	−0.369400	−	0.929270i	$-0.620437\pi$
$384$	0.00938515	+	0.0350259i	0.000478934	+	0.00178741i
$385$	−4.14218	−	27.4148i	−0.211105	−	1.39719i
$386$	−7.70504	+	13.3455i	−0.392176	+	0.679269i
$387$	−20.8745	−	12.0519i	−1.06111	−	0.612632i
$388$	−1.24306	+	1.24306i	−0.0631070	+	0.0631070i
$389$	−6.53051	−	3.77039i	−0.331110	−	0.191167i	0.325224	−	0.945637i	$-0.394560\pi$
$389$	−6.53051	−	3.77039i	−0.331110	−	0.191167i	−0.656334	+	0.754471i	$0.727894\pi$
$390$	0.136481	−	0.417555i	0.00691097	−	0.0211437i
$391$		−	38.7344i		−	1.95888i
$392$	−0.266759	−	6.99492i	−0.0134734	−	0.353297i
$393$	−0.0512860	−	0.0888299i	−0.00258703	−	0.00448087i
$394$			23.2280i			1.17021i
$395$	−26.6002	+	7.12750i	−1.33840	+	0.358623i
$396$	−9.03387	−	2.42062i	−0.453969	−	0.121641i
$397$	−16.4385	+	16.4385i	−0.825023	+	0.825023i	−0.986823	−	0.161801i	$-0.948270\pi$
$397$	−16.4385	+	16.4385i	−0.825023	+	0.825023i	0.161801	+	0.986823i	$0.448270\pi$
$398$	−10.7373	+	10.7373i	−0.538213	+	0.538213i
$399$	−0.0797648	−	0.182644i	−0.00399324	−	0.00914364i
$400$	−5.44693	+	3.14479i	−0.272347	+	0.157239i
$401$	29.0066	−	7.77229i	1.44852	−	0.388130i	0.553011	−	0.833174i	$-0.313479\pi$
$401$	29.0066	−	7.77229i	1.44852	−	0.388130i	0.895508	+	0.445045i	$0.146812\pi$
$402$	−0.124017	+	0.214803i	−0.00618538	+	0.0107134i
$403$	8.32027	+	0.450655i	0.414462	+	0.0224487i
$404$	0.183990	−	0.106227i	0.00915384	−	0.00528497i
$405$	−7.81639	+	29.1712i	−0.388400	+	1.44953i
$406$	5.68014	+	13.0063i	0.281901	+	0.645491i
$407$	8.12995	+	4.69383i	0.402987	+	0.232665i
$408$	0.208286	+	0.0558101i	0.0103117	+	0.00276301i
$409$	2.57568	−	9.61255i	0.127359	−	0.475310i	−0.872554	−	0.488518i	$-0.837538\pi$
$409$	2.57568	−	9.61255i	0.127359	−	0.475310i	0.999913	+	0.0132078i	$0.00420431\pi$
$410$	6.30444	−	23.5285i	0.311354	−	1.16199i
$411$	−0.374285	−	0.100289i	−0.0184621	−	0.00494691i
$412$	−2.17565	−	1.25611i	−0.107187	−	0.0618842i
$413$	−17.9548	+	24.3462i	−0.883498	+	1.19800i
$414$	5.05536	−	18.8669i	0.248457	−	0.927255i
$415$	−41.0273	+	23.6871i	−2.01395	+	1.16275i
$416$	3.02043	+	1.96902i	0.148089	+	0.0965389i
$417$	−0.0603549	+	0.104538i	−0.00295559	+	0.00511923i
$418$	6.25836	−	1.67692i	0.306107	−	0.0820210i
$419$	7.37453	−	4.25769i	0.360269	−	0.208002i	−0.308929	−	0.951085i	$-0.599971\pi$
$419$	7.37453	−	4.25769i	0.360269	−	0.208002i	0.669199	+	0.743083i	$0.266637\pi$
$420$	−0.0359772	+	0.320340i	−0.00175551	+	0.0156310i
$421$	−0.546952	+	0.546952i	−0.0266568	+	0.0266568i	−0.720310	−	0.693653i	$-0.756000\pi$
$421$	−0.546952	+	0.546952i	−0.0266568	+	0.0266568i	0.693653	+	0.720310i	$0.256000\pi$
$422$	11.8555	−	11.8555i	0.577116	−	0.577116i
$423$	15.3926	+	4.12444i	0.748415	+	0.200537i
$424$	5.55624	−	1.48879i	0.269835	−	0.0723020i
$425$			37.4019i			1.81426i
$426$	−0.290371	−	0.502938i	−0.0140685	−	0.0243674i
$427$	8.02536	+	3.14640i	0.388374	+	0.152265i
$428$			6.54210i			0.316224i
$429$	0.363650	−	0.184488i	0.0175572	−	0.00890714i
$430$	−23.3896	−	13.5040i	−1.12795	−	0.651221i
$431$	4.33519	−	4.33519i	0.208819	−	0.208819i	−0.594947	−	0.803765i	$-0.702827\pi$
$431$	4.33519	−	4.33519i	0.208819	−	0.208819i	0.803765	+	0.594947i	$0.202827\pi$
$432$	0.188379	+	0.108760i	0.00906337	+	0.00523274i
$433$	−17.2645	+	29.9029i	−0.829677	+	1.43704i	0.0686146	+	0.997643i	$0.478142\pi$
$433$	−17.2645	+	29.9029i	−0.829677	+	1.43704i	−0.898292	+	0.439400i	$0.855191\pi$
$434$	−6.04574	+	0.913467i	−0.290205	+	0.0438478i
$435$	−0.169157	−	0.631303i	−0.00811047	−	0.0302687i
$436$	1.87644	+	1.87644i	0.0898650	+	0.0898650i
$437$	3.50218	+	13.0703i	0.167532	+	0.625238i
$438$	−0.211161	−	0.365741i	−0.0100897	−	0.0174758i
$439$	−5.94962	+	10.3051i	−0.283960	+	0.491833i	−0.972356	−	0.233501i	$-0.924982\pi$
$439$	−5.94962	+	10.3051i	−0.283960	+	0.491833i	0.688396	+	0.725335i	$0.258315\pi$
$440$	−10.1224	−	2.71228i	−0.482565	−	0.129303i
$441$	−15.3976	−	14.2663i	−0.733218	−	0.679348i
$442$	19.1210	−	9.70051i	0.909494	−	0.461406i
$443$	−17.0068	−	29.4566i	−0.808016	−	1.39952i	−0.914236	−	0.405182i	$-0.867208\pi$
$443$	−17.0068	−	29.4566i	−0.808016	−	1.39952i	0.106220	−	0.994343i	$-0.466125\pi$
$444$	−0.0771770	−	0.0771770i	−0.00366266	−	0.00366266i
$445$	−38.0313			−1.80286
$446$	17.2588			0.817228
$447$	−0.564386	−	0.564386i	−0.0266945	−	0.0266945i
$448$	−2.46321	−	0.965718i	−0.116376	−	0.0456259i
$449$	−33.5708	+	8.99527i	−1.58430	+	0.424513i	−0.940255	−	0.340471i	$-0.889414\pi$
$449$	−33.5708	+	8.99527i	−1.58430	+	0.424513i	−0.644049	+	0.764984i	$0.722747\pi$
$450$	−4.88145	+	18.2178i	−0.230114	+	0.858796i
$451$	19.5813	−	11.3053i	0.922047	−	0.532344i
$452$			11.6047i			0.545839i
$453$	0.0417958	+	0.155984i	0.00196374	+	0.00732877i
$454$	7.90736			0.371111
$455$	18.6091	+	26.0970i	0.872408	+	1.22345i
$456$	−0.0753291			−0.00352761
$457$	−3.71325	−	13.8580i	−0.173698	−	0.648251i	−0.996770	−	0.0803133i	$-0.974408\pi$
$457$	−3.71325	−	13.8580i	−0.173698	−	0.648251i	0.823071	−	0.567938i	$-0.192259\pi$
$458$		−	15.1354i		−	0.707232i
$459$	1.12022	−	0.646759i	0.0522874	−	0.0301881i
$460$	5.66448	−	21.1401i	0.264108	−	0.985663i
$461$	0.649382	−	0.174001i	0.0302447	−	0.00810405i	−0.243665	−	0.969859i	$-0.578350\pi$
$461$	0.649382	−	0.174001i	0.0302447	−	0.00810405i	0.273910	+	0.961755i	$0.411683\pi$
$462$	−0.233874	+	0.186646i	−0.0108808	+	0.00868354i
$463$	−5.94052	−	5.94052i	−0.276079	−	0.276079i	0.555462	−	0.831542i	$-0.312541\pi$
$463$	−5.94052	−	5.94052i	−0.276079	−	0.276079i	−0.831542	+	0.555462i	$0.812541\pi$
$464$	5.36427			0.249030
$465$	0.281569			0.0130575
$466$	0.108267	+	0.108267i	0.00501537	+	0.00501537i
$467$	13.3169	+	23.0656i	0.616234	+	1.06735i	0.990167	+	0.139893i	$0.0446759\pi$
$467$	13.3169	+	23.0656i	0.616234	+	1.06735i	−0.373932	+	0.927456i	$0.621991\pi$
$468$	10.5796	−	2.22940i	0.489041	−	0.103054i
$469$	−7.24292	−	16.5847i	−0.334447	−	0.765810i
$470$	17.2473	+	4.62140i	0.795558	+	0.213169i
$471$	−0.0838405	+	0.145216i	−0.00386317	+	0.00669120i
$472$	5.71687	+	9.90190i	0.263140	+	0.455772i
$473$	−6.48858	−	24.2157i	−0.298345	−	1.11344i
$474$	0.210151	+	0.210151i	0.00965257	+	0.00965257i
$475$	−3.38170	−	12.6207i	−0.155163	−	0.579077i
$476$	−12.2973	+	9.81398i	−0.563645	+	0.449823i
$477$	8.62458	−	14.9382i	0.394892	−	0.683974i
$478$	2.18540	+	1.26174i	0.0999580	+	0.0577108i
$479$	−8.29908	+	8.29908i	−0.379195	+	0.379195i	−0.870812	−	0.491617i	$-0.836406\pi$
$479$	−8.29908	+	8.29908i	−0.379195	+	0.379195i	0.491617	+	0.870812i	$0.336406\pi$
$480$	0.105515	+	0.0609191i	0.00481608	+	0.00278057i
$481$	−10.8366	−	0.586950i	−0.494107	−	0.0267626i
$482$			15.5258i			0.707182i
$483$	−0.389802	−	0.488436i	−0.0177366	−	0.0222246i
$484$	0.636280	+	1.10207i	0.0289218	+	0.0500941i
$485$			5.90673i			0.268211i
$486$	0.945145	−	0.253251i	0.0428727	−	0.0114877i
$487$	−0.929231	−	0.248987i	−0.0421075	−	0.0112827i	0.237704	−	0.971338i	$-0.423605\pi$
$487$	−0.929231	−	0.248987i	−0.0421075	−	0.0112827i	−0.279811	+	0.960055i	$0.590272\pi$
$488$	2.30382	−	2.30382i	0.104289	−	0.104289i
$489$	0.390106	−	0.390106i	0.0176412	−	0.0176412i
$490$	−17.2528	−	15.9853i	−0.779404	−	0.722141i
$491$	−18.4654	+	10.6610i	−0.833331	+	0.481124i	−0.854992	−	0.518641i	$-0.826438\pi$
$491$	−18.4654	+	10.6610i	−0.833331	+	0.481124i	0.0216605	+	0.999765i	$0.493105\pi$
$492$	−0.253922	+	0.0680382i	−0.0114477	+	0.00306740i
$493$	15.9497	−	27.6257i	0.718337	−	1.24420i
$494$	−5.57502	+	5.00212i	−0.250832	+	0.225056i
$495$	−27.2145	+	15.7123i	−1.22320	+	0.706214i
$496$	−0.598133	+	2.23226i	−0.0268570	+	0.100232i
$497$	42.1082	+	4.72915i	1.88881	+	0.212131i
$498$	0.442770	+	0.255634i	0.0198410	+	0.0114552i
$499$	38.4768	+	10.3098i	1.72246	+	0.461531i	0.978423	−	0.206611i	$-0.0662433\pi$
$499$	38.4768	+	10.3098i	1.72246	+	0.461531i	0.744034	+	0.668142i	$0.232910\pi$
$500$	−1.12146	+	4.18533i	−0.0501531	+	0.187174i
$501$	0.00791334	−	0.0295330i	0.000353542	−	0.00131944i
$502$	−1.65263	−	0.442822i	−0.0737607	−	0.0197641i
$503$	13.8697	+	8.00769i	0.618421	+	0.357045i	0.776254	−	0.630420i	$-0.217117\pi$
$503$	13.8697	+	8.00769i	0.618421	+	0.357045i	−0.157833	+	0.987466i	$0.550451\pi$
$504$	−7.27066	+	3.17526i	−0.323861	+	0.141437i
$505$	0.184756	−	0.689519i	0.00822153	−	0.0306832i
$506$	17.5936	−	10.1577i	0.782131	−	0.451563i
$507$	−0.278415	+	0.380397i	−0.0123648	+	0.0168940i
$508$	2.91184	−	5.04346i	0.129192	−	0.223767i
$509$	0.479264	−	0.128418i	0.0212430	−	0.00569205i	−0.248182	−	0.968713i	$-0.579833\pi$
$509$	0.479264	−	0.128418i	0.0212430	−	0.00569205i	0.269425	+	0.963021i	$0.413166\pi$
$510$	0.627460	−	0.362264i	0.0277844	−	0.0160413i
$511$	30.6215	+	3.43908i	1.35461	+	0.152136i
$512$	−0.707107	+	0.707107i	−0.0312500	+	0.0312500i
$513$	−0.319524	+	0.319524i	−0.0141073	+	0.0141073i
$514$	−17.0285	−	4.56278i	−0.751095	−	0.201255i
$515$	−8.15344	+	2.18471i	−0.359283	+	0.0962697i
$516$			0.291473i			0.0128314i
$517$	8.28719	+	14.3538i	0.364470	+	0.631281i
$518$	7.87418	−	1.18973i	0.345972	−	0.0522739i
$519$		−	0.00583366i		−	0.000256069i
$520$	11.8543	−	2.49802i	0.519845	−	0.109546i
$521$	4.72213	+	2.72632i	0.206880	+	0.119442i	0.599861	−	0.800104i	$-0.295223\pi$
$521$	4.72213	+	2.72632i	0.206880	+	0.119442i	−0.392980	+	0.919547i	$0.628556\pi$
$522$	11.3743	−	11.3743i	0.497841	−	0.497841i
$523$	2.24066	+	1.29365i	0.0979773	+	0.0565672i	0.548188	−	0.836355i	$-0.315318\pi$
$523$	2.24066	+	1.29365i	0.0979773	+	0.0565672i	−0.450211	+	0.892922i	$0.648651\pi$
$524$	1.41434	−	2.44971i	0.0617857	−	0.107016i
$525$	0.376392	+	0.471633i	0.0164271	+	0.0205838i
$526$	−2.14064	−	7.98898i	−0.0933364	−	0.348336i
$527$	9.71758	+	9.71758i	0.423305	+	0.423305i
$528$	0.0292712	+	0.109242i	0.00127387	+	0.00475413i
$529$	9.71386	+	16.8249i	0.422342	+	0.731517i
$530$	9.66376	−	16.7381i	0.419767	−	0.727057i
$531$	33.1179	+	8.87391i	1.43719	+	0.385095i
$532$	3.26220	−	4.42344i	0.141434	−	0.191781i
$533$	−14.2745	+	21.8968i	−0.618297	+	0.948454i
$534$	0.205219	+	0.355450i	0.00888069	+	0.0153818i
$535$	15.5432	+	15.5432i	0.671992	+	0.671992i
$536$	−6.84014			−0.295449
$537$	−0.0202323			−0.000873090
$538$	−2.67073	−	2.67073i	−0.115143	−	0.115143i
$539$	−0.831992	−	21.8163i	−0.0358364	−	0.939696i
$540$	0.705966	−	0.189163i	0.0303799	−	0.00814028i
$541$	−2.58161	+	9.63470i	−0.110992	+	0.414228i	−0.998956	−	0.0456852i	$-0.985453\pi$
$541$	−2.58161	+	9.63470i	−0.110992	+	0.414228i	0.887964	+	0.459913i	$0.152120\pi$
$542$	−7.81520	+	4.51211i	−0.335691	+	0.193812i
$543$			0.592397i			0.0254222i
$544$	1.53910	+	5.74401i	0.0659885	+	0.246273i
$545$	8.91636			0.381935
$546$	0.143493	−	0.314746i	0.00614094	−	0.0134699i
$547$	−3.43305			−0.146787			−0.0733934	−	0.997303i	$-0.523383\pi$
$547$	−3.43305			−0.146787			−0.0733934	+	0.997303i	$0.523383\pi$
$548$	−2.76573	−	10.3218i	−0.118146	−	0.440928i
$549$		−	9.76999i		−	0.416973i
$550$	−16.9884	+	9.80823i	−0.724386	+	0.418224i
$551$	−2.88419	+	10.7640i	−0.122871	+	0.458560i
$552$	−0.228146	+	0.0611316i	−0.00971055	+	0.00260194i
$553$	−21.4412	+	3.23961i	−0.911773	+	0.137762i
$554$	−14.2399	−	14.2399i	−0.604997	−	0.604997i
$555$	−0.366726			−0.0155667
$556$	−3.32887			−0.141176
$557$	−17.6605	−	17.6605i	−0.748298	−	0.748298i	0.225861	−	0.974160i	$-0.427480\pi$
$557$	−17.6605	−	17.6605i	−0.748298	−	0.748298i	−0.974160	+	0.225861i	$0.927480\pi$
$558$	3.46499	+	6.00155i	0.146685	+	0.254066i
$559$	19.3549	+	21.5716i	0.818624	+	0.912382i
$560$	−8.14670	+	3.55785i	−0.344261	+	0.150347i
$561$	0.649620	+	0.174065i	0.0274270	+	0.00734904i
$562$	−10.8834	+	18.8506i	−0.459088	+	0.795163i
$563$	15.2881	+	26.4797i	0.644315	+	1.11599i	0.984459	+	0.175613i	$0.0561907\pi$
$563$	15.2881	+	26.4797i	0.644315	+	1.11599i	−0.340145	+	0.940373i	$0.610476\pi$
$564$	−0.0498746	−	0.186135i	−0.00210010	−	0.00783768i
$565$	27.5713	+	27.5713i	1.15993	+	1.15993i
$566$	2.15484	+	8.04197i	0.0905747	+	0.338029i
$567$	−8.68003	+	22.1397i	−0.364527	+	0.929781i
$568$	8.00772	−	13.8698i	0.335997	−	0.581963i
$569$	34.1795	+	19.7336i	1.43288	+	0.827274i	0.997340	−	0.0728952i	$-0.0232239\pi$
$569$	34.1795	+	19.7336i	1.43288	+	0.827274i	0.435541	+	0.900169i	$0.356557\pi$
$570$	−0.178973	+	0.178973i	−0.00749634	+	0.00749634i
$571$	−33.3332	−	19.2449i	−1.39495	−	0.805375i	−0.401092	−	0.916038i	$-0.631369\pi$
$571$	−33.3332	−	19.2449i	−1.39495	−	0.805375i	−0.993858	+	0.110663i	$0.964702\pi$
$572$	9.42036	+	6.14113i	0.393885	+	0.256774i
$573$		−	0.790165i		−	0.0330096i
$574$	7.00103	−	17.8572i	0.292217	−	0.745344i
$575$	−20.4841	−	35.4795i	−0.854245	−	1.47960i
$576$			2.99869i			0.124945i
$577$	35.2769	−	9.45242i	1.46860	−	0.393509i	0.566147	−	0.824304i	$-0.308433\pi$
$577$	35.2769	−	9.45242i	1.46860	−	0.393509i	0.902450	+	0.430795i	$0.141767\pi$
$578$	17.7368	+	4.75257i	0.737755	+	0.197681i
$579$	0.395125	−	0.395125i	0.0164209	−	0.0164209i
$580$	12.7448	−	12.7448i	0.529200	−	0.529200i
$581$	−34.1858	+	14.9297i	−1.41827	+	0.619389i
$582$	0.0552057	−	0.0318730i	0.00228835	−	0.00132118i
$583$	17.3293	−	4.64336i	0.717705	−	0.192308i
$584$	5.82329	−	10.0862i	0.240970	−	0.417372i
$585$	19.8390	−	30.4325i	0.820240	−	1.25823i
$586$	6.46944	−	3.73513i	0.267250	−	0.154297i
$587$	−7.73131	+	28.8537i	−0.319105	+	1.19092i	0.601001	+	0.799249i	$0.294769\pi$
$587$	−7.73131	+	28.8537i	−0.319105	+	1.19092i	−0.920106	+	0.391669i	$0.871898\pi$
$588$	−0.0563049	+	0.247506i	−0.00232197	+	0.0102070i
$589$	−4.15767	−	2.40043i	−0.171314	−	0.0989081i
$590$	37.1083	+	9.94313i	1.52772	+	0.409352i
$591$	0.217998	−	0.813579i	0.00896723	−	0.0334662i
$592$	0.779030	−	2.90738i	0.0320179	−	0.119493i
$593$	−5.11813	−	1.37140i	−0.210176	−	0.0563166i	0.152194	−	0.988351i	$-0.451366\pi$
$593$	−5.11813	−	1.37140i	−0.210176	−	0.0563166i	−0.362371	+	0.932034i	$0.618033\pi$
$594$	0.587531	+	0.339211i	0.0241067	+	0.0139180i
$595$	−5.90003	+	52.5337i	−0.241878	+	2.15367i
$596$	5.69695	−	21.2613i	0.233356	−	0.870897i
$597$	0.476855	−	0.275313i	0.0195164	−	0.0112678i
$598$	−12.8255	+	19.6740i	−0.524473	+	0.804531i
$599$	−8.34264	+	14.4499i	−0.340871	+	0.590406i	−0.984595	−	0.174852i	$-0.944055\pi$
$599$	−8.34264	+	14.4499i	−0.340871	+	0.590406i	0.643724	+	0.765258i	$0.277389\pi$
$600$	0.220298	−	0.0590286i	0.00899362	−	0.00240983i
$601$	21.4409	−	12.3789i	0.874593	−	0.504947i	0.00572138	−	0.999984i	$-0.498179\pi$
$601$	21.4409	−	12.3789i	0.874593	−	0.504947i	0.868872	+	0.495037i	$0.164845\pi$
$602$	−17.1158	−	12.6225i	−0.697587	−	0.514456i
$603$	−14.5038	+	14.5038i	−0.590639	+	0.590639i
$604$	−3.14903	+	3.14903i	−0.128132	+	0.128132i
$605$	4.13010	+	1.10666i	0.167913	+	0.0449921i
$606$	−0.00744136	+	0.00199391i	−0.000302284	+	8.09969e-5i
$607$		−	8.00877i		−	0.325066i	−0.986703	−	0.162533i	$-0.948034\pi$
$607$		−	8.00877i		−	0.325066i	0.986703	−	0.162533i	$-0.0519664\pi$
$608$	−1.03869	−	1.79907i	−0.0421246	−	0.0729620i
$609$	−0.0768859	−	0.508865i	−0.00311557	−	0.0206203i
$610$		−	10.9472i		−	0.443238i
$611$	−16.0512	−	10.4637i	−0.649361	−	0.423318i
$612$	15.4431	+	8.91605i	0.624248	+	0.360410i
$613$	11.8176	−	11.8176i	0.477307	−	0.477307i	−0.426962	−	0.904269i	$-0.640416\pi$
$613$	11.8176	−	11.8176i	0.477307	−	0.477307i	0.904269	+	0.426962i	$0.140416\pi$
$614$	−13.0343	−	7.52535i	−0.526021	−	0.303699i
$615$	−0.441637	+	0.764938i	−0.0178085	+	0.0308453i
$616$	−7.68246	−	3.01196i	−0.309535	−	0.121355i
$617$	0.776717	+	2.89875i	0.0312694	+	0.116699i	0.979797	−	0.199997i	$-0.0640932\pi$
$617$	0.776717	+	2.89875i	0.0312694	+	0.116699i	−0.948527	+	0.316696i	$0.897427\pi$
$618$	0.0644152	+	0.0644152i	0.00259116	+	0.00259116i
$619$	−11.2421	−	41.9559i	−0.451856	−	1.68635i	−0.697169	−	0.716906i	$-0.745557\pi$
$619$	−11.2421	−	41.9559i	−0.451856	−	1.68635i	0.245313	−	0.969444i	$-0.421109\pi$
$620$	3.88249	+	6.72467i	0.155925	+	0.270069i
$621$	−0.708428	+	1.22703i	−0.0284282	+	0.0492392i
$622$	−19.7741	−	5.29846i	−0.792870	−	0.212449i
$623$	−29.7598	−	3.34231i	−1.19230	−	0.133907i
$624$	−0.0873135	−	0.0973136i	−0.00349534	−	0.00389566i
$625$	−8.44455	−	14.6264i	−0.337782	−	0.585056i
$626$	19.3148	+	19.3148i	0.771975	+	0.771975i
$627$	−0.234943			−0.00938271
$628$	−4.62422			−0.184527
$629$	−12.6565	−	12.6565i	−0.504649	−	0.504649i
$630$	−9.73016	+	24.8182i	−0.387659	+	0.988782i
$631$	−20.0767	+	5.37953i	−0.799239	+	0.214156i	−0.635250	−	0.772307i	$-0.719103\pi$
$631$	−20.0767	+	5.37953i	−0.799239	+	0.214156i	−0.163989	+	0.986462i	$0.552436\pi$
$632$	−2.12128	+	7.91673i	−0.0843800	+	0.314911i
$633$	−0.526514	+	0.303983i	−0.0209270	+	0.0120822i
$634$		−	11.2031i		−	0.444931i
$635$	−5.06446	−	18.9008i	−0.200977	−	0.750057i
$636$	−0.208585			−0.00827092
$637$	12.2683	+	22.0565i	0.486086	+	0.873911i
$638$	16.7305			0.662368
$639$	−12.4299	−	46.3889i	−0.491718	−	1.83511i
$640$			3.36000i			0.132816i
$641$	25.2384	−	14.5714i	0.996857	−	0.575536i	0.0895402	−	0.995983i	$-0.471460\pi$
$641$	25.2384	−	14.5714i	0.996857	−	0.575536i	0.907317	+	0.420447i	$0.138127\pi$
$642$	0.0613986	−	0.229143i	0.00242321	−	0.00904354i
$643$	−38.0380	+	10.1922i	−1.50007	+	0.401943i	−0.913124	−	0.407682i	$-0.866337\pi$
$643$	−38.0380	+	10.1922i	−1.50007	+	0.401943i	−0.586947	+	0.809625i	$0.699670\pi$
$644$	6.29035	−	16.0445i	0.247875	−	0.632241i
$645$	0.692505	+	0.692505i	0.0272674	+	0.0272674i
$646$	−12.3535			−0.486041
$647$	−28.3293			−1.11374			−0.556870	−	0.830599i	$-0.687998\pi$
$647$	−28.3293			−1.11374			−0.556870	+	0.830599i	$0.687998\pi$
$648$	6.35559	+	6.35559i	0.249671	+	0.249671i
$649$	17.8302	+	30.8829i	0.699898	+	1.21226i
$650$	12.3843	−	18.9972i	0.485751	−	0.745132i
$651$	0.220330	+	0.0247452i	0.00863542	+	0.000969839i
$652$	14.6959	+	3.93775i	0.575536	+	0.154214i
$653$	−2.69215	+	4.66293i	−0.105352	+	0.182475i	−0.913882	−	0.405980i	$-0.866930\pi$
$653$	−2.69215	+	4.66293i	−0.105352	+	0.182475i	0.808530	+	0.588455i	$0.200264\pi$
$654$	−0.0481131	−	0.0833344i	−0.00188137	−	0.00325863i
$655$	−2.45991	−	9.18049i	−0.0961165	−	0.358712i
$656$	−5.12621	−	5.12621i	−0.200145	−	0.200145i
$657$	−9.03911	−	33.7344i	−0.352649	−	1.31611i
$658$	13.0900	+	5.13202i	0.510301	+	0.200067i
$659$	7.17647	−	12.4300i	0.279556	−	0.484205i	−0.691719	−	0.722167i	$-0.743146\pi$
$659$	7.17647	−	12.4300i	0.279556	−	0.484205i	0.971274	+	0.237962i	$0.0764795\pi$
$660$	0.329089	+	0.190000i	0.0128098	+	0.00739573i
$661$	−0.808322	+	0.808322i	−0.0314401	+	0.0314401i	−0.722652	−	0.691212i	$-0.757077\pi$
$661$	−0.808322	+	0.808322i	−0.0314401	+	0.0314401i	0.691212	+	0.722652i	$0.257077\pi$
$662$	−3.54352	−	2.04585i	−0.137723	−	0.0795143i
$663$	−0.760770	+	0.160315i	−0.0295459	+	0.00622612i
$664$			14.0995i			0.547166i
$665$	−2.75898	−	18.2601i	−0.106988	−	0.708098i
$666$	−4.51293	−	7.81663i	−0.174873	−	0.302888i
$667$			34.9410i			1.35292i
$668$	0.814446	−	0.218230i	0.0315119	−	0.00844358i
$669$	−0.604504	−	0.161976i	−0.0233715	−	0.00626237i
$670$	−16.2513	+	16.2513i	−0.627843	+	0.627843i
$671$	7.18535	−	7.18535i	0.277387	−	0.277387i
$672$	0.0772125	+	0.0569426i	0.00297854	+	0.00219661i
$673$	37.0049	−	21.3648i	1.42643	−	0.823552i	0.429597	−	0.903021i	$-0.358656\pi$
$673$	37.0049	−	21.3648i	1.42643	−	0.823552i	0.996837	+	0.0794689i	$0.0253225\pi$
$674$	8.43274	−	2.25955i	0.324817	−	0.0870344i
$675$	0.684057	−	1.18482i	0.0263294	−	0.0456038i
$676$	−12.9239	−	1.40413i	−0.497075	−	0.0540051i
$677$	19.5414	−	11.2822i	0.751038	−	0.433612i	−0.0750310	−	0.997181i	$-0.523906\pi$
$677$	19.5414	−	11.2822i	0.751038	−	0.433612i	0.826069	+	0.563569i	$0.190572\pi$
$678$	0.108912	−	0.406464i	0.00418273	−	0.0156102i
$679$	−0.519101	+	4.62206i	−0.0199213	+	0.177378i
$680$	17.3038	+	9.99034i	0.663570	+	0.383112i
$681$	−0.276962	−	0.0742118i	−0.0106132	−	0.00284380i
$682$	−1.86551	+	6.96217i	−0.0714340	+	0.266595i
$683$	−2.75908	+	10.2970i	−0.105573	+	0.394005i	−0.998410	−	0.0563765i	$-0.982045\pi$
$683$	−2.75908	+	10.2970i	−0.105573	+	0.394005i	0.892836	+	0.450381i	$0.148712\pi$
$684$	−6.01717	−	1.61230i	−0.230072	−	0.0616477i
$685$	−31.0945	−	17.9524i	−1.18806	−	0.685926i
$686$	−12.0956	−	14.0248i	−0.461814	−	0.535470i
$687$	−0.142048	+	0.530131i	−0.00541948	+	0.0202258i
$688$	−6.96121	+	4.01906i	−0.265394	+	0.153225i
$689$	−15.4371	+	13.8508i	−0.588107	+	0.527672i
$690$	−0.396806	+	0.687289i	−0.0151062	+	0.0261646i
$691$	−15.6721	+	4.19933i	−0.596195	+	0.159750i	−0.544283	−	0.838902i	$-0.683198\pi$
$691$	−15.6721	+	4.19933i	−0.596195	+	0.159750i	−0.0519122	+	0.998652i	$0.516532\pi$
$692$	0.139324	−	0.0804389i	0.00529632	−	0.00305783i
$693$	−22.6763	+	9.90328i	−0.861403	+	0.376194i
$694$	−8.90757	+	8.90757i	−0.338127	+	0.338127i
$695$	−7.90900	+	7.90900i	−0.300005	+	0.300005i
$696$	−0.187888	−	0.0503444i	−0.00712188	−	0.00190830i
$697$	−41.6416	+	11.1578i	−1.57729	+	0.422633i
$698$			30.1261i			1.14029i
$699$	−0.00277604	−	0.00480825i	−0.000105000	−	0.000181865i
$700$	−6.07396	+	15.4925i	−0.229574	+	0.585563i
$701$		−	16.2812i		−	0.614931i	−0.951559	−	0.307466i	$-0.900519\pi$
$701$		−	16.2812i		−	0.614931i	0.951559	−	0.307466i	$-0.0994809\pi$
$702$	−0.783135	−	0.0424174i	−0.0295575	−	0.00160094i
$703$	5.41510	+	3.12641i	0.204234	+	0.117915i
$704$	−2.20538	+	2.20538i	−0.0831185	+	0.0831185i
$705$	−0.560728	−	0.323737i	−0.0211183	−	0.0121926i
$706$	7.85974	−	13.6135i	0.295805	−	0.512350i
$707$	0.205170	−	0.523316i	0.00771621	−	0.0196813i
$708$	−0.107307	−	0.400476i	−0.00403286	−	0.0150508i
$709$	−14.6841	−	14.6841i	−0.551474	−	0.551474i	0.375392	−	0.926866i	$-0.377508\pi$
$709$	−14.6841	−	14.6841i	−0.551474	−	0.551474i	−0.926866	+	0.375392i	$0.877508\pi$
$710$	−13.9275	−	51.9782i	−0.522691	−	1.95071i
$711$	12.2886	+	21.2845i	0.460859	+	0.798231i
$712$	−5.65943	+	9.80242i	−0.212096	+	0.367361i
$713$	−14.5402	−	3.89603i	−0.544535	−	0.145908i
$714$	0.522829	−	0.228331i	0.0195664	−	0.00854508i
$715$	36.9722	−	7.79105i	1.38268	−	0.291369i
$716$	−0.278979	−	0.483205i	−0.0104259	−	0.0180582i
$717$	−0.0647039	−	0.0647039i	−0.00241641	−	0.00241641i
$718$	−4.63936			−0.173139
$719$	−6.13769			−0.228897			−0.114449	−	0.993429i	$-0.536510\pi$
$719$	−6.13769			−0.228897			−0.114449	+	0.993429i	$0.536510\pi$
$720$	7.12451	+	7.12451i	0.265515	+	0.265515i
$721$	−6.57212	+	0.993001i	−0.244759	+	0.0369813i
$722$	−14.1841	+	3.80062i	−0.527877	+	0.141444i
$723$	0.145712	−	0.543805i	0.00541909	−	0.0202243i
$724$	−14.1481	+	8.16841i	−0.525810	+	0.303577i
$725$		−	33.7390i		−	1.25303i
$726$	−0.0119432	−	0.0445725i	−0.000443253	−	0.00165424i
$727$	11.7366			0.435286			0.217643	−	0.976028i	$-0.430163\pi$
$727$	11.7366			0.435286			0.217643	+	0.976028i	$0.430163\pi$
$728$	9.49561	−	0.912931i	0.351931	−	0.0338355i
$729$	26.9290			0.997371
$730$	−10.1282	−	37.7991i	−0.374863	−	1.39901i
$731$			47.7997i			1.76794i
$732$	−0.102315	+	0.0590715i	−0.00378167	+	0.00218335i
$733$	−1.33862	+	4.99579i	−0.0494430	+	0.184524i	−0.986231	−	0.165374i	$-0.947117\pi$
$733$	−1.33862	+	4.99579i	−0.0494430	+	0.184524i	0.936788	+	0.349898i	$0.113784\pi$
$734$	−20.8658	+	5.59098i	−0.770172	+	0.206367i
$735$	0.454271	+	0.721818i	0.0167561	+	0.0266247i
$736$	−4.60585	−	4.60585i	−0.169774	−	0.169774i
$737$	−21.3336			−0.785833
$738$	−21.7391			−0.800229
$739$	−22.2516	−	22.2516i	−0.818537	−	0.818537i	0.167359	−	0.985896i	$-0.446476\pi$
$739$	−22.2516	−	22.2516i	−0.818537	−	0.818537i	−0.985896	+	0.167359i	$0.946476\pi$
$740$	−5.05670	−	8.75846i	−0.185888	−	0.321967i
$741$	0.242215	−	0.122881i	0.00889801	−	0.00451415i
$742$	9.03296	−	12.2484i	0.331610	−	0.449654i
$743$	43.3322	+	11.6108i	1.58970	+	0.425960i	0.941912	−	0.335859i	$-0.109026\pi$
$743$	43.3322	+	11.6108i	1.58970	+	0.425960i	0.647791	+	0.761818i	$0.275693\pi$
$744$	0.0419003	−	0.0725734i	0.00153614	−	0.00266067i
$745$	−36.9790	−	64.0495i	−1.35480	−	2.34659i
$746$	4.47159	+	16.6882i	0.163717	+	0.610999i
$747$	29.8964	+	29.8964i	1.09385	+	1.09385i
$748$	4.80029	+	17.9149i	0.175516	+	0.655034i
$749$	10.7967	+	13.5287i	0.394503	+	0.494327i
$750$	0.0785600	−	0.136070i	0.00286860	−	0.00496857i
$751$	31.8790	+	18.4053i	1.16328	+	0.671620i	0.952088	−	0.305824i	$-0.0989320\pi$
$751$	31.8790	+	18.4053i	1.16328	+	0.671620i	0.211192	+	0.977445i	$0.432265\pi$
$752$	3.75771	−	3.75771i	0.137030	−	0.137030i
$753$	0.0537290	+	0.0310204i	0.00195799	+	0.00113045i
$754$	−17.2484	+	8.75051i	−0.628151	+	0.318675i
$755$			14.9634i			0.544574i
$756$	0.569048	−	0.0859790i	0.0206961	−	0.00312703i
$757$	−15.5608	−	26.9521i	−0.565567	−	0.979591i	−0.996997	−	0.0774445i	$-0.975324\pi$
$757$	−15.5608	−	26.9521i	−0.565567	−	0.979591i	0.431429	−	0.902147i	$-0.358009\pi$
$758$		−	23.6388i		−	0.858601i
$759$	−0.711562	+	0.190662i	−0.0258281	+	0.00692061i
$760$	−6.74218	−	1.80656i	−0.244565	−	0.0655309i
$761$	−12.2238	+	12.2238i	−0.443112	+	0.443112i	−0.893057	−	0.449944i	$-0.851444\pi$
$761$	−12.2238	+	12.2238i	−0.443112	+	0.443112i	0.449944	+	0.893057i	$0.351444\pi$
$762$	−0.149324	+	0.149324i	−0.00540942	+	0.00540942i
$763$	6.97712	+	0.783596i	0.252589	+	0.0283681i
$764$	18.8714	−	10.8954i	0.682742	−	0.394181i
$765$	57.8742	−	15.5073i	2.09245	−	0.560669i
$766$	−17.9715	+	31.1275i	−0.649335	+	1.12468i
$767$	−34.5348	−	22.5132i	−1.24698	−	0.812904i
$768$	0.0314033	−	0.0181307i	0.00113317	−	0.000654236i
$769$	4.28846	−	16.0047i	0.154646	−	0.577146i	−0.844490	−	0.535572i	$-0.820096\pi$
$769$	4.28846	−	16.0047i	0.154646	−	0.577146i	0.999135	−	0.0415739i	$-0.0132372\pi$
$770$	−25.4086	+	11.0965i	−0.915663	+	0.399891i
$771$	0.553616	+	0.319630i	0.0199380	+	0.0115112i
$772$	14.8850	+	3.98842i	0.535723	+	0.143547i
$773$	−6.08126	+	22.6956i	−0.218728	+	0.816303i	0.766093	+	0.642729i	$0.222198\pi$
$773$	−6.08126	+	22.6956i	−0.218728	+	0.816303i	−0.984821	+	0.173573i	$0.944469\pi$
$774$	−6.23851	+	23.2824i	−0.224239	+	0.836870i
$775$	14.0400	+	3.76201i	0.504332	+	0.135135i
$776$	1.52244	+	0.878979i	0.0546523	+	0.0315535i
$777$	−0.286966	−	0.0322290i	−0.0102948	−	0.00115621i
$778$	−1.95170	+	7.28384i	−0.0699718	+	0.261138i
$779$	13.0425	−	7.53007i	0.467295	−	0.269793i
$780$	−0.438651	−	0.0237589i	−0.0157062	−	0.000850706i
$781$	24.9752	−	43.2582i	0.893681	−	1.54790i
$782$	−37.4145	+	10.0252i	−1.33794	+	0.358500i
$783$	−1.01051	+	0.583420i	−0.0361128	+	0.0208497i
$784$	−6.68753	+	2.06809i	−0.238840	+	0.0738603i
$785$	−10.9866	+	10.9866i	−0.392128	+	0.392128i
$786$	−0.0725293	+	0.0725293i	−0.00258703	+	0.00258703i
$787$	−3.57443	−	0.957767i	−0.127415	−	0.0341407i	0.194548	−	0.980893i	$-0.437676\pi$
$787$	−3.57443	−	0.957767i	−0.127415	−	0.0341407i	−0.321963	+	0.946752i	$0.604343\pi$
$788$	22.4365	−	6.01184i	0.799266	−	0.214163i
$789$			0.299911i			0.0106771i
$790$	13.7693	+	23.8491i	0.489889	+	0.848512i
$791$	19.1517	+	23.9978i	0.680956	+	0.853263i
$792$			9.35255i			0.332328i
$793$	−3.64965	+	11.1659i	−0.129603	+	0.396513i
$794$	20.1329	+	11.6237i	0.714491	+	0.412511i
$795$	−0.495571	+	0.495571i	−0.0175761	+	0.0175761i
$796$	13.1505	+	7.59244i	0.466107	+	0.269107i
$797$	11.6148	−	20.1173i	0.411416	−	0.712593i	−0.583629	−	0.812020i	$-0.698368\pi$
$797$	11.6148	−	20.1173i	0.411416	−	0.712593i	0.995045	+	0.0994274i	$0.0317011\pi$
$798$	−0.155776	+	0.124319i	−0.00551441	+	0.00440083i
$799$	−8.17911	−	30.5249i	−0.289356	−	1.07989i
$800$	4.44740	+	4.44740i	0.157239	+	0.157239i
$801$	8.78475	+	32.7852i	0.310394	+	1.15841i
$802$	−15.0149	−	26.0066i	−0.530195	−	0.918324i
$803$	18.1622	−	31.4578i	0.640929	−	1.11012i
$804$	0.239582	+	0.0641957i	0.00844939	+	0.00226401i
$805$	−23.1746	−	53.0648i	−0.816798	−	1.87029i
$806$	−1.71814	−	8.15340i	−0.0605190	−	0.287191i
$807$	0.0684793	+	0.118610i	0.00241059	+	0.00417526i
$808$	−0.150227	−	0.150227i	−0.00528497	−	0.00528497i
$809$	3.84543			0.135198			0.0675991	−	0.997713i	$-0.478466\pi$
$809$	3.84543			0.135198			0.0675991	+	0.997713i	$0.478466\pi$
$810$	30.2002			1.06113
$811$	−31.0031	−	31.0031i	−1.08866	−	1.08866i	−0.995666	−	0.0929980i	$-0.970355\pi$
$811$	−31.0031	−	31.0031i	−1.08866	−	1.08866i	−0.0929980	−	0.995666i	$-0.529645\pi$
$812$	11.0930	−	8.85287i	0.389287	−	0.310675i
$813$	0.316081	−	0.0846936i	0.0110854	−	0.00297033i
$814$	2.42971	−	9.06778i	0.0851611	−	0.317826i
$815$	44.2713	−	25.5600i	1.55075	−	0.895329i
$816$		−	0.215634i		−	0.00754869i
$817$	−4.32183	−	16.1293i	−0.151202	−	0.564293i
$818$	−9.95165			−0.347951
$819$	18.1986	−	22.0702i	0.635911	−	0.771194i
$820$	−24.3585			−0.850636
$821$	7.60201	+	28.3711i	0.265312	+	0.990157i	0.962059	+	0.272841i	$0.0879632\pi$
$821$	7.60201	+	28.3711i	0.265312	+	0.990157i	−0.696747	+	0.717317i	$0.745370\pi$
$822$			0.387488i			0.0135152i
$823$	−0.822994	+	0.475156i	−0.0286878	+	0.0165629i	−0.514275	−	0.857625i	$-0.671939\pi$
$823$	−0.822994	+	0.475156i	−0.0286878	+	0.0165629i	0.485588	+	0.874188i	$0.338606\pi$
$824$	−0.650211	+	2.42662i	−0.0226512	+	0.0845353i
$825$	0.687083	−	0.184103i	0.0239212	−	0.00640966i
$826$	28.1637	+	11.0418i	0.979939	+	0.384192i
$827$	−1.05849	−	1.05849i	−0.0368074	−	0.0368074i	0.688464	−	0.725271i	$-0.258286\pi$
$827$	−1.05849	−	1.05849i	−0.0368074	−	0.0368074i	−0.725271	+	0.688464i	$0.758286\pi$
$828$	−19.5324			−0.678798
$829$	−11.8905			−0.412974			−0.206487	−	0.978449i	$-0.566203\pi$
$829$	−11.8905			−0.412974			−0.206487	+	0.978449i	$0.566203\pi$
$830$	33.4986	+	33.4986i	1.16275	+	1.16275i
$831$	0.365122	+	0.632410i	0.0126659	+	0.0219381i
$832$	1.12018	−	3.42713i	0.0388352	−	0.118814i
$833$	−9.23363	+	40.5895i	−0.319926	+	1.40634i
$834$	0.116597	+	0.0312420i	0.00403741	+	0.00108182i
$835$	1.41654	−	2.45351i	0.0490212	−	0.0849073i
$836$	−3.23957	−	5.61109i	−0.112043	−	0.194064i
$837$	−0.130106	−	0.485564i	−0.00449714	−	0.0167835i
$838$	−6.02128	−	6.02128i	−0.208002	−	0.208002i
$839$	−7.53618	−	28.1254i	−0.260178	−	0.970997i	−0.965136	−	0.261748i	$-0.915701\pi$
$839$	−7.53618	−	28.1254i	−0.260178	−	0.970997i	0.704959	−	0.709249i	$-0.250966\pi$
$840$	0.318736	−	0.0481587i	0.0109974	−	0.00166163i
$841$	0.112322	−	0.194547i	0.00387317	−	0.00670853i
$842$	0.669876	+	0.386753i	0.0230855	+	0.0133284i
$843$	0.558115	−	0.558115i	0.0192225	−	0.0192225i
$844$	−14.5199	−	8.38309i	−0.499797	−	0.288558i
$845$	−34.0417	+	27.3697i	−1.17107	+	0.941545i
$846$		−	15.9356i		−	0.547878i
$847$	3.13458	+	1.22893i	0.107705	+	0.0422267i
$848$	−2.87612	−	4.98159i	−0.0987664	−	0.171068i
$849$		−	0.301900i		−	0.0103612i
$850$	36.1274	−	9.68031i	1.23916	−	0.332032i
$851$	18.9377	+	5.07434i	0.649175	+	0.173946i
$852$	−0.410647	+	0.410647i	−0.0140685	+	0.0140685i
$853$	6.89225	−	6.89225i	0.235986	−	0.235986i	−0.579200	−	0.815186i	$-0.696635\pi$
$853$	6.89225	−	6.89225i	0.235986	−	0.235986i	0.815186	+	0.579200i	$0.196635\pi$
$854$	0.962071	−	8.56625i	0.0329214	−	0.293131i
$855$	−18.1267	+	10.4654i	−0.619919	+	0.357910i
$856$	6.31918	−	1.69322i	0.215985	−	0.0578731i
$857$	20.6808	−	35.8201i	0.706441	−	1.22359i	−0.259727	−	0.965682i	$-0.583633\pi$
$857$	20.6808	−	35.8201i	0.706441	−	1.22359i	0.966169	−	0.257910i	$-0.0830339\pi$
$858$	−0.272321	−	0.303510i	−0.00929688	−	0.0103617i
$859$	−26.7947	+	15.4699i	−0.914222	+	0.527827i	−0.881787	−	0.471647i	$-0.843660\pi$
$859$	−26.7947	+	15.4699i	−0.914222	+	0.527827i	−0.0324351	+	0.999474i	$0.510326\pi$
$860$	−6.99019	+	26.0878i	−0.238364	+	0.889585i
$861$	−0.412809	+	0.559757i	−0.0140685	+	0.0190765i
$862$	−5.30950	−	3.06544i	−0.180842	−	0.104409i
$863$	12.0837	+	3.23782i	0.411334	+	0.110217i	0.458551	−	0.888668i	$-0.348369\pi$
$863$	12.0837	+	3.23782i	0.411334	+	0.110217i	−0.0472170	+	0.998885i	$0.515035\pi$
$864$	0.0562986	−	0.210109i	0.00191532	−	0.00714806i
$865$	0.139904	−	0.522130i	0.00475689	−	0.0177530i
$866$	33.3524	+	8.93674i	1.13336	+	0.303683i
$867$	−0.576644	−	0.332926i	−0.0195839	−	0.0113067i
$868$	2.44709	+	5.60331i	0.0830598	+	0.190189i
$869$	−6.61603	+	24.6914i	−0.224433	+	0.837597i
$870$	−0.566011	+	0.326787i	−0.0191896	+	0.0110791i
$871$	21.9940	−	11.1580i	0.745238	−	0.378075i
$872$	1.32684	−	2.29816i	0.0449325	−	0.0778254i
$873$	5.09194	−	1.36438i	0.172336	−	0.0461773i
$874$	11.7185	−	6.76570i	0.396385	−	0.228853i
$875$	4.58812	+	10.5058i	0.155107	+	0.355161i
$876$	−0.298627	+	0.298627i	−0.0100897	+	0.0100897i
$877$	36.7674	−	36.7674i	1.24155	−	1.24155i	0.282187	−	0.959359i	$-0.408940\pi$
$877$	36.7674	−	36.7674i	1.24155	−	1.24155i	0.959359	−	0.282187i	$-0.0910599\pi$
$878$	11.4938	+	3.07975i	0.387897	+	0.103937i
$879$	−0.261652	+	0.0701096i	−0.00882532	+	0.00236474i
$880$			10.4794i			0.353262i
$881$	3.74394	+	6.48469i	0.126137	+	0.218475i	0.922177	−	0.386769i	$-0.126409\pi$
$881$	3.74394	+	6.48469i	0.126137	+	0.218475i	−0.796040	+	0.605244i	$0.793076\pi$
$882$	−9.79502	+	18.5653i	−0.329815	+	0.625127i
$883$			42.5577i			1.43218i	0.698007	+	0.716091i	$0.254070\pi$
$883$			42.5577i			1.43218i	−0.698007	+	0.716091i	$0.745930\pi$
$884$	−14.3189	−	15.9588i	−0.481595	−	0.536752i
$885$	−1.20643	−	0.696533i	−0.0405537	−	0.0234137i
$886$	−24.0512	+	24.0512i	−0.808016	+	0.808016i
$887$	33.0784	+	19.0978i	1.11066	+	0.641242i	0.939001	−	0.343914i	$-0.111753\pi$
$887$	33.0784	+	19.0978i	1.11066	+	0.641242i	0.171663	+	0.985156i	$0.445086\pi$
$888$	−0.0545724	+	0.0945222i	−0.00183133	+	0.00317196i
$889$	−2.30192	−	15.2351i	−0.0772038	−	0.510969i
$890$	9.84323	+	36.7354i	0.329946	+	1.23137i
$891$	19.8224	+	19.8224i	0.664074	+	0.664074i
$892$	−4.46691	−	16.6707i	−0.149563	−	0.558177i
$893$	5.51983	+	9.56063i	0.184714	+	0.319934i
$894$	−0.399081	+	0.691228i	−0.0133473	+	0.0231181i
$895$	−1.81085	−	0.485217i	−0.0605302	−	0.0162190i
$896$	−0.295287	+	2.62922i	−0.00986483	+	0.0878361i
$897$	0.633867	−	0.568730i	0.0211642	−	0.0189894i
$898$	17.3775	+	30.0988i	0.579896	+	1.00441i
$899$	−8.76591	−	8.76591i	−0.292360	−	0.292360i
$900$	18.8605			0.628682
$901$	−34.2065			−1.13958
$902$	−15.9881	−	15.9881i	−0.532344	−	0.532344i
$903$	0.481031	+	0.602749i	0.0160077	+	0.0200582i
$904$	11.2093	−	3.00351i	0.372815	−	0.0998954i
$905$	−14.2070	+	53.0213i	−0.472257	+	1.76249i
$906$	0.139851	−	0.0807432i	0.00464625	−	0.00268251i
$907$			55.9843i			1.85893i	0.368914	+	0.929463i	$0.379730\pi$
$907$			55.9843i			1.85893i	−0.368914	+	0.929463i	$0.620270\pi$
$908$	−2.04658	−	7.63793i	−0.0679180	−	0.253473i
$909$	−0.637080			−0.0211306
$910$	20.3914	−	24.7294i	0.675968	−	0.819772i
$911$	−48.1896			−1.59659			−0.798297	−	0.602264i	$-0.794265\pi$
$911$	−48.1896			−1.59659			−0.798297	+	0.602264i	$0.794265\pi$
$912$	0.0194966	+	0.0727623i	0.000645597	+	0.00240940i
$913$			43.9746i			1.45535i
$914$	−12.4248	+	7.17345i	−0.410975	+	0.237277i
$915$	−0.102741	+	0.383434i	−0.00339651	+	0.0126759i
$916$	−14.6197	+	3.91734i	−0.483049	+	0.129432i
$917$	−1.11808	−	7.39999i	−0.0369224	−	0.244369i
$918$	−0.914656	−	0.914656i	−0.0301881	−	0.0301881i
$919$	20.0302			0.660734			0.330367	−	0.943853i	$-0.392828\pi$
$919$	20.0302			0.660734			0.330367	+	0.943853i	$0.392828\pi$
$920$	−21.8859			−0.721555
$921$	0.385911	+	0.385911i	0.0127162	+	0.0127162i
$922$	−0.336145	−	0.582220i	−0.0110703	−	0.0191744i
$923$	−3.12307	+	57.6600i	−0.102797	+	1.89790i
$924$	0.240817	+	0.177598i	0.00792230	+	0.00584253i
$925$	−18.2862	−	4.89977i	−0.601246	−	0.161103i
$926$	−4.20058	+	7.27562i	−0.138040	+	0.239092i
$927$	3.76668	+	6.52409i	0.123714	+	0.214279i
$928$	−1.38837	−	5.18148i	−0.0455756	−	0.170091i
$929$	−14.5521	−	14.5521i	−0.477438	−	0.477438i	0.426873	−	0.904312i	$-0.359615\pi$
$929$	−14.5521	−	14.5521i	−0.477438	−	0.477438i	−0.904312	+	0.426873i	$0.859615\pi$
$930$	−0.0728755	−	0.271975i	−0.00238968	−	0.00891842i
$931$	−0.554163	−	14.5312i	−0.0181620	−	0.476239i
$932$	0.0765563	−	0.132599i	0.00250769	−	0.00434344i
$933$	0.642879	+	0.371166i	0.0210469	+	0.0121514i
$934$	18.8330	−	18.8330i	0.616234	−	0.616234i
$935$	53.9685	+	31.1587i	1.76496	+	1.01900i
$936$	−4.89163	−	9.64206i	−0.159888	−	0.315161i
$937$			36.7487i			1.20053i	0.799803	+	0.600263i	$0.204938\pi$
$937$			36.7487i			1.20053i	−0.799803	+	0.600263i	$0.795062\pi$
$938$	−14.1450	+	11.2886i	−0.461850	+	0.368584i
$939$	−0.495246	−	0.857790i	−0.0161617	−	0.0279929i
$940$		−	17.8557i		−	0.582389i
$941$	−21.6111	+	5.79068i	−0.704502	+	0.188771i	−0.593246	−	0.805021i	$-0.702154\pi$
$941$	−21.6111	+	5.79068i	−0.704502	+	0.188771i	−0.111256	+	0.993792i	$0.535487\pi$
$942$	0.161967	+	0.0433990i	0.00527718	+	0.00141402i
$943$	33.3904	−	33.3904i	1.08734	−	1.08734i
$944$	8.08487	−	8.08487i	0.263140	−	0.263140i
$945$	1.14771	−	1.55626i	0.0373350	−	0.0506252i
$946$	−21.7112	+	12.5350i	−0.705892	+	0.407547i
$947$	−42.7320	+	11.4500i	−1.38860	+	0.372076i	−0.874239	−	0.485496i	$-0.838639\pi$
$947$	−42.7320	+	11.4500i	−1.38860	+	0.372076i	−0.514366	+	0.857571i	$0.671973\pi$
$948$	0.148599	−	0.257382i	0.00482628	−	0.00835937i
$949$	−2.27113	+	41.9309i	−0.0737239	+	1.36113i
$950$	−11.3154	+	6.53295i	−0.367120	+	0.211957i
$951$	−0.105143	+	0.392398i	−0.00340948	+	0.0127244i
$952$	12.6624	+	9.33822i	0.410389	+	0.302654i
$953$	27.9551	+	16.1399i	0.905553	+	0.522821i	0.878998	−	0.476826i	$-0.158213\pi$
$953$	27.9551	+	16.1399i	0.905553	+	0.522821i	0.0265556	+	0.999647i	$0.491546\pi$
$954$	−16.6614	−	4.46441i	−0.539433	−	0.144541i
$955$	18.9499	−	70.7222i	0.613206	−	2.28852i
$956$	0.653126	−	2.43750i	0.0211236	−	0.0788344i
$957$	−0.586001	−	0.157018i	−0.0189427	−	0.00507569i
$958$	10.1643	+	5.86833i	0.328392	+	0.189597i
$959$	−22.7539	−	16.7806i	−0.734763	−	0.541873i
$960$	0.0315341	−	0.117687i	0.00101776	−	0.00379832i
$961$	−22.2216	+	12.8296i	−0.716824	+	0.413859i
$962$	2.23777	+	10.6193i	0.0721487	+	0.342379i
$963$	9.80885	−	16.9894i	0.316086	−	0.547477i
$964$	14.9968	−	4.01838i	0.483014	−	0.129423i
$965$	44.8409	−	25.8889i	1.44348	−	0.833394i
$966$	−0.370905	+	0.502936i	−0.0119337	+	0.0161817i
$967$	−42.5240	+	42.5240i	−1.36748	+	1.36748i	−0.503462	+	0.864018i	$0.667940\pi$
$967$	−42.5240	+	42.5240i	−1.36748	+	1.36748i	−0.864018	+	0.503462i	$0.832060\pi$
$968$	0.899836	−	0.899836i	0.0289218	−	0.0289218i
$969$	0.432691	+	0.115939i	0.0139000	+	0.00372451i
$970$	5.70547	−	1.52878i	0.183192	−	0.0490860i
$971$		−	13.1476i		−	0.421925i	−0.977494	−	0.210963i	$-0.932340\pi$
$971$		−	13.1476i		−	0.421925i	0.977494	−	0.210963i	$-0.0676599\pi$
$972$	−0.489243	−	0.847394i	−0.0156925	−	0.0271802i
$973$	−6.88391	+	5.49378i	−0.220688	+	0.176122i
$974$			0.962010i			0.0308248i
$975$	−0.612061	+	0.549165i	−0.0196017	+	0.0175874i
$976$	−2.82159	−	1.62905i	−0.0903169	−	0.0521445i
$977$	0.191748	−	0.191748i	0.00613457	−	0.00613457i	−0.704033	−	0.710167i	$-0.748619\pi$
$977$	0.191748	−	0.191748i	0.00613457	−	0.00613457i	0.710167	+	0.704033i	$0.248619\pi$
$978$	−0.477780	−	0.275846i	−0.0152777	−	0.00882060i
$979$	−17.6511	+	30.5726i	−0.564132	+	0.977105i
$980$	−10.9752	+	20.8023i	−0.350590	+	0.664504i
$981$	−2.05957	−	7.68641i	−0.0657569	−	0.245408i
$982$	15.0769	+	15.0769i	0.481124	+	0.481124i
$983$	5.99977	+	22.3914i	0.191363	+	0.714176i	0.993178	+	0.116604i	$0.0372009\pi$
$983$	5.99977	+	22.3914i	0.191363	+	0.714176i	−0.801816	+	0.597571i	$0.796132\pi$
$984$	0.131440	+	0.227660i	0.00419014	+	0.00725754i
$985$	39.0229	−	67.5897i	1.24337	−	2.15359i
$986$	−30.8124	−	8.25616i	−0.981267	−	0.262930i
$987$	−0.410323	−	0.302605i	−0.0130607	−	0.00963202i
$988$	6.27460	+	4.09041i	0.199622	+	0.130133i
$989$	−26.1787	−	45.3429i	−0.832436	−	1.44182i
$990$	22.2205	+	22.2205i	0.706214	+	0.706214i
$991$	−39.5306			−1.25573			−0.627865	−	0.778322i	$-0.716071\pi$
$991$	−39.5306			−1.25573			−0.627865	+	0.778322i	$0.716071\pi$
$992$	2.31101			0.0733746
$993$	0.104914	+	0.104914i	0.00332935	+	0.00332935i
$994$	−6.33039	−	41.8973i	−0.200788	−	1.32890i
$995$	49.2826	−	13.2052i	1.56236	−	0.418634i
$996$	0.132326	−	0.493846i	0.00419290	−	0.0156481i
$997$	29.8166	−	17.2146i	0.944300	−	0.545192i	0.0529946	−	0.998595i	$-0.483123\pi$
$997$	29.8166	−	17.2146i	0.944300	−	0.545192i	0.891306	+	0.453403i	$0.149790\pi$
$998$		−	39.8341i		−	1.26093i
$999$	0.169455	+	0.632416i	0.00536133	+	0.0200088i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	182.2.w.a.171.3	yes	40
7.5	odd	6		182.2.bc.a.145.3	yes	40
13.7	odd	12		182.2.bc.a.59.3	yes	40
91.33	even	12	inner	182.2.w.a.33.3	✓	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
182.2.w.a.33.3	✓	40	91.33	even	12	inner
182.2.w.a.171.3	yes	40	1.1	even	1	trivial
182.2.bc.a.59.3	yes	40	13.7	odd	12
182.2.bc.a.145.3	yes	40	7.5	odd	6

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:	\( N \)	\(=\)	\( 182 = 2 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	182.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.258819 - 0.965926i) q^{2} +0.0362614i q^{3} +(-0.866025 + 0.500000i) q^{4} +(-0.869631 + 3.24551i) q^{5} +(0.0350259 - 0.00938515i) q^{6} +(-0.965718 + 2.46321i) q^{7} +(0.707107 + 0.707107i) q^{8} +2.99869 q^{9} +O(q^{10})\)	\(q+(-0.258819 - 0.965926i) q^{2} +0.0362614i q^{3} +(-0.866025 + 0.500000i) q^{4} +(-0.869631 + 3.24551i) q^{5} +(0.0350259 - 0.00938515i) q^{6} +(-0.965718 + 2.46321i) q^{7} +(0.707107 + 0.707107i) q^{8} +2.99869 q^{9} +3.36000 q^{10} +(2.20538 + 2.20538i) q^{11} +(-0.0181307 - 0.0314033i) q^{12} +(-3.42713 - 1.12018i) q^{13} +(2.62922 + 0.295287i) q^{14} +(-0.117687 - 0.0315341i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-2.97332 - 5.14994i) q^{17} +(-0.776117 - 2.89651i) q^{18} +(1.46894 + 1.46894i) q^{19} +(-0.869631 - 3.24551i) q^{20} +(-0.0893194 - 0.0350183i) q^{21} +(1.55944 - 2.70103i) q^{22} +(5.64099 + 3.25683i) q^{23} +(-0.0256407 + 0.0256407i) q^{24} +(-5.44693 - 3.14479i) q^{25} +(-0.195004 + 3.60027i) q^{26} +0.217521i q^{27} +(-0.395268 - 2.61606i) q^{28} +(2.68213 + 4.64559i) q^{29} +0.121838i q^{30} +(-2.23226 + 0.598133i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(-0.0799704 + 0.0799704i) q^{33} +(-4.20491 + 4.20491i) q^{34} +(-7.15454 - 5.27633i) q^{35} +(-2.59694 + 1.49934i) q^{36} +(2.90738 - 0.779030i) q^{37} +(1.03869 - 1.79907i) q^{38} +(0.0406193 - 0.124273i) q^{39} +(-2.90984 + 1.68000i) q^{40} +(1.87632 - 7.00254i) q^{41} +(-0.0107075 + 0.0953393i) q^{42} +(-6.96121 - 4.01906i) q^{43} +(-3.01261 - 0.807227i) q^{44} +(-2.60775 + 9.73226i) q^{45} +(1.68586 - 6.29171i) q^{46} +(5.13313 + 1.37542i) q^{47} +(0.0314033 + 0.0181307i) q^{48} +(-5.13478 - 4.75752i) q^{49} +(-1.62786 + 6.07527i) q^{50} +(0.186744 - 0.107817i) q^{51} +(3.52807 - 0.743460i) q^{52} +(2.87612 - 4.98159i) q^{53} +(0.210109 - 0.0562986i) q^{54} +(-9.07546 + 5.23972i) q^{55} +(-2.42462 + 1.05889i) q^{56} +(-0.0532657 + 0.0532657i) q^{57} +(3.79311 - 3.79311i) q^{58} +(11.0441 + 2.95927i) q^{59} +(0.117687 - 0.0315341i) q^{60} -3.25809i q^{61} +(1.15550 + 2.00139i) q^{62} +(-2.89588 + 7.38638i) q^{63} +1.00000i q^{64} +(6.61588 - 10.1486i) q^{65} +(0.0979433 + 0.0565476i) q^{66} +(-4.83671 + 4.83671i) q^{67} +(5.14994 + 2.97332i) q^{68} +(-0.118097 + 0.204550i) q^{69} +(-3.24481 + 8.27637i) q^{70} +(-4.14510 - 15.4697i) q^{71} +(2.12039 + 2.12039i) q^{72} +(-3.01436 - 11.2497i) q^{73} +(-1.50497 - 2.60669i) q^{74} +(0.114035 - 0.197514i) q^{75} +(-2.00660 - 0.537668i) q^{76} +(-7.56210 + 3.30254i) q^{77} +(-0.130551 - 0.00707111i) q^{78} +(4.09800 + 7.09795i) q^{79} +(2.37588 + 2.37588i) q^{80} +8.98817 q^{81} -7.24956 q^{82} +(9.96984 + 9.96984i) q^{83} +(0.0948620 - 0.0143330i) q^{84} +(19.2999 - 5.17138i) q^{85} +(-2.08042 + 7.76422i) q^{86} +(-0.168456 + 0.0972580i) q^{87} +3.11888i q^{88} +(2.92954 + 10.9332i) q^{89} +10.0756 q^{90} +(6.06887 - 7.35995i) q^{91} -6.51366 q^{92} +(-0.0216892 - 0.0809451i) q^{93} -5.31420i q^{94} +(-6.04487 + 3.49001i) q^{95} +(0.00938515 - 0.0350259i) q^{96} +(1.69806 - 0.454993i) q^{97} +(-3.26644 + 6.19115i) q^{98} +(6.61325 + 6.61325i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 8 q^{7} - 48 q^{9}+O(q^{10}) \) 40 * q - 8 * q^7 - 48 * q^9	\( 40 q - 8 q^{7} - 48 q^{9} - 12 q^{11} - 4 q^{12} - 4 q^{14} - 16 q^{15} + 20 q^{16} - 8 q^{18} + 16 q^{19} + 24 q^{21} + 4 q^{22} + 8 q^{28} + 4 q^{29} + 16 q^{31} - 24 q^{33} - 20 q^{35} - 24 q^{36} + 40 q^{37} + 12 q^{39} + 24 q^{41} + 24 q^{42} - 72 q^{43} + 12 q^{46} + 36 q^{47} - 28 q^{49} + 24 q^{51} - 16 q^{52} - 4 q^{53} + 12 q^{55} - 12 q^{56} - 12 q^{57} - 32 q^{58} + 16 q^{60} + 36 q^{62} + 16 q^{63} - 52 q^{65} - 16 q^{67} - 12 q^{68} - 84 q^{69} - 88 q^{70} + 28 q^{71} - 16 q^{72} - 76 q^{73} - 20 q^{74} + 28 q^{75} - 32 q^{76} + 8 q^{78} - 16 q^{79} - 8 q^{81} + 96 q^{82} + 108 q^{83} + 32 q^{84} + 56 q^{85} - 32 q^{86} + 24 q^{87} + 48 q^{89} + 44 q^{91} + 32 q^{92} + 48 q^{93} + 24 q^{95} - 88 q^{97} - 8 q^{98} + 28 q^{99}+O(q^{100}) \) 40 * q - 8 * q^7 - 48 * q^9 - 12 * q^11 - 4 * q^12 - 4 * q^14 - 16 * q^15 + 20 * q^16 - 8 * q^18 + 16 * q^19 + 24 * q^21 + 4 * q^22 + 8 * q^28 + 4 * q^29 + 16 * q^31 - 24 * q^33 - 20 * q^35 - 24 * q^36 + 40 * q^37 + 12 * q^39 + 24 * q^41 + 24 * q^42 - 72 * q^43 + 12 * q^46 + 36 * q^47 - 28 * q^49 + 24 * q^51 - 16 * q^52 - 4 * q^53 + 12 * q^55 - 12 * q^56 - 12 * q^57 - 32 * q^58 + 16 * q^60 + 36 * q^62 + 16 * q^63 - 52 * q^65 - 16 * q^67 - 12 * q^68 - 84 * q^69 - 88 * q^70 + 28 * q^71 - 16 * q^72 - 76 * q^73 - 20 * q^74 + 28 * q^75 - 32 * q^76 + 8 * q^78 - 16 * q^79 - 8 * q^81 + 96 * q^82 + 108 * q^83 + 32 * q^84 + 56 * q^85 - 32 * q^86 + 24 * q^87 + 48 * q^89 + 44 * q^91 + 32 * q^92 + 48 * q^93 + 24 * q^95 - 88 * q^97 - 8 * q^98 + 28 * q^99

Introduction

L-functions

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