LMFDB - Embedded newform 504.2.y.a.173.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(173,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 1, 5]))

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

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

chi := DirichletCharacter("504.173");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.y (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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			173.5
Character	$\chi$	$=$	504.173
Dual form			504.2.y.a.437.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40645 - 0.147961i) q^{2} +(1.68230 - 0.412165i) q^{3} +(1.95621 + 0.416201i) q^{4} +0.157459i q^{5} +(-2.42705 + 0.330775i) q^{6} +(-2.21308 - 1.44992i) q^{7} +(-2.68974 - 0.874811i) q^{8} +(2.66024 - 1.38677i) q^{9} +O(q^{10})$	\(q+(-1.40645 - 0.147961i) q^{2} +(1.68230 - 0.412165i) q^{3} +(1.95621 + 0.416201i) q^{4} +0.157459i q^{5} +(-2.42705 + 0.330775i) q^{6} +(-2.21308 - 1.44992i) q^{7} +(-2.68974 - 0.874811i) q^{8} +(2.66024 - 1.38677i) q^{9} +(0.0232979 - 0.221459i) q^{10} -2.59885 q^{11} +(3.46248 - 0.106109i) q^{12} +(-2.67924 - 4.64058i) q^{13} +(2.89806 + 2.36670i) q^{14} +(0.0648991 + 0.264893i) q^{15} +(3.65355 + 1.62836i) q^{16} +(-3.58200 - 6.20420i) q^{17} +(-3.94669 + 1.55681i) q^{18} +(3.09253 - 5.35642i) q^{19} +(-0.0655347 + 0.308024i) q^{20} +(-4.32066 - 1.52704i) q^{21} +(3.65515 + 0.384529i) q^{22} +5.00960i q^{23} +(-4.88551 - 0.363075i) q^{24} +4.97521 q^{25} +(3.08160 + 6.92318i) q^{26} +(3.90374 - 3.42941i) q^{27} +(-3.72580 - 3.75745i) q^{28} +(0.215295 - 0.372903i) q^{29} +(-0.0520836 - 0.382162i) q^{30} +(3.56777 + 2.05986i) q^{31} +(-4.89761 - 2.83079i) q^{32} +(-4.37203 + 1.07115i) q^{33} +(4.11993 + 9.25591i) q^{34} +(0.228304 - 0.348470i) q^{35} +(5.78118 - 1.60562i) q^{36} +(-2.86828 - 1.65600i) q^{37} +(-5.14204 + 7.07597i) q^{38} +(-6.41996 - 6.70255i) q^{39} +(0.137747 - 0.423524i) q^{40} +(4.67707 + 8.10093i) q^{41} +(5.85086 + 2.78701i) q^{42} +(8.32734 + 4.80779i) q^{43} +(-5.08390 - 1.08164i) q^{44} +(0.218359 + 0.418879i) q^{45} +(0.741227 - 7.04576i) q^{46} +(-0.490296 - 0.849217i) q^{47} +(6.81751 + 1.23351i) q^{48} +(2.79545 + 6.41759i) q^{49} +(-6.99739 - 0.736138i) q^{50} +(-8.58314 - 8.96094i) q^{51} +(-3.30976 - 10.1931i) q^{52} +(-2.96672 - 5.13850i) q^{53} +(-5.99784 + 4.24570i) q^{54} -0.409212i q^{55} +(4.68421 + 5.83594i) q^{56} +(2.99483 - 10.2857i) q^{57} +(-0.357978 + 0.492614i) q^{58} +(-0.802085 - 0.463084i) q^{59} +(0.0167079 + 0.545199i) q^{60} +(-6.61908 - 11.4646i) q^{61} +(-4.71312 - 3.42498i) q^{62} +(-7.89803 - 0.788117i) q^{63} +(6.46941 + 4.70603i) q^{64} +(0.730702 - 0.421871i) q^{65} +(6.30754 - 0.859634i) q^{66} +(-8.92058 - 5.15030i) q^{67} +(-4.42496 - 13.6276i) q^{68} +(2.06478 + 8.42763i) q^{69} +(-0.372658 + 0.456326i) q^{70} -1.83152i q^{71} +(-8.36852 + 1.40283i) q^{72} +(-7.13059 + 4.11685i) q^{73} +(3.78907 + 2.75348i) q^{74} +(8.36977 - 2.05060i) q^{75} +(8.27900 - 9.19120i) q^{76} +(5.75146 + 3.76812i) q^{77} +(8.03765 + 10.3767i) q^{78} +(6.19691 + 10.7334i) q^{79} +(-0.256400 + 0.575285i) q^{80} +(5.15376 - 7.37826i) q^{81} +(-5.37946 - 12.0856i) q^{82} +(4.53554 + 2.61860i) q^{83} +(-7.81659 - 4.78549i) q^{84} +(0.976909 - 0.564019i) q^{85} +(-11.0006 - 7.99405i) q^{86} +(0.208493 - 0.716070i) q^{87} +(6.99022 + 2.27350i) q^{88} +(5.73166 - 9.92752i) q^{89} +(-0.245134 - 0.621442i) q^{90} +(-0.799105 + 14.1547i) q^{91} +(-2.08500 + 9.79985i) q^{92} +(6.85105 + 1.99478i) q^{93} +(0.563926 + 1.26693i) q^{94} +(0.843418 + 0.486947i) q^{95} +(-9.40599 - 2.74361i) q^{96} +(-1.48321 - 0.856331i) q^{97} +(-2.98211 - 9.43965i) q^{98} +(-6.91356 + 3.60399i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 3 q^{2} + q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{9}+O(q^{10}) $ 184 * q - 3 * q^2 + q^4 + 6 * q^6 - 2 * q^7 - 2 * q^9	$ 184 q - 3 q^{2} + q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{9} - 6 q^{10} - 3 q^{12} - 3 q^{14} - 2 q^{15} + q^{16} - 15 q^{18} - 6 q^{22} - 12 q^{24} - 156 q^{25} + 6 q^{26} - 8 q^{28} - 14 q^{30} - 6 q^{31} - 33 q^{32} - 6 q^{33} - 6 q^{34} + 22 q^{36} - 66 q^{38} + 10 q^{39} - 15 q^{42} + 9 q^{44} + 2 q^{46} - 6 q^{47} - 9 q^{48} - 2 q^{49} + 9 q^{50} + 24 q^{54} + 60 q^{56} + 4 q^{57} + 6 q^{58} + 34 q^{60} - 12 q^{62} - 30 q^{63} - 8 q^{64} - 6 q^{65} - 21 q^{66} - 36 q^{68} + 30 q^{70} + 9 q^{72} - 12 q^{73} - 12 q^{76} + 19 q^{78} + 2 q^{79} + 57 q^{80} + 6 q^{81} + 9 q^{84} + 12 q^{87} - 18 q^{88} + 24 q^{89} + 75 q^{90} - 36 q^{92} - 3 q^{94} + 54 q^{95} - 54 q^{96} + 45 q^{98}+O(q^{100}) $ 184 * q - 3 * q^2 + q^4 + 6 * q^6 - 2 * q^7 - 2 * q^9 - 6 * q^10 - 3 * q^12 - 3 * q^14 - 2 * q^15 + q^16 - 15 * q^18 - 6 * q^22 - 12 * q^24 - 156 * q^25 + 6 * q^26 - 8 * q^28 - 14 * q^30 - 6 * q^31 - 33 * q^32 - 6 * q^33 - 6 * q^34 + 22 * q^36 - 66 * q^38 + 10 * q^39 - 15 * q^42 + 9 * q^44 + 2 * q^46 - 6 * q^47 - 9 * q^48 - 2 * q^49 + 9 * q^50 + 24 * q^54 + 60 * q^56 + 4 * q^57 + 6 * q^58 + 34 * q^60 - 12 * q^62 - 30 * q^63 - 8 * q^64 - 6 * q^65 - 21 * q^66 - 36 * q^68 + 30 * q^70 + 9 * q^72 - 12 * q^73 - 12 * q^76 + 19 * q^78 + 2 * q^79 + 57 * q^80 + 6 * q^81 + 9 * q^84 + 12 * q^87 - 18 * q^88 + 24 * q^89 + 75 * q^90 - 36 * q^92 - 3 * q^94 + 54 * q^95 - 54 * q^96 + 45 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.40645	−	0.147961i	−0.994512	−	0.104624i
$2$	−1.40645	−	0.147961i	−0.994512	−	0.104624i
$3$	1.68230	−	0.412165i	0.971274	−	0.237963i
$3$	1.68230	−	0.412165i	0.971274	−	0.237963i
$4$	1.95621	+	0.416201i	0.978107	+	0.208101i
$5$			0.157459i			0.0704179i	0.999380	+	0.0352089i	$0.0112097\pi$
$5$			0.157459i			0.0704179i	−0.999380	+	0.0352089i	$0.988790\pi$
$6$	−2.42705	+	0.330775i	−0.990840	+	0.135038i
$7$	−2.21308	−	1.44992i	−0.836466	−	0.548019i
$7$	−2.21308	−	1.44992i	−0.836466	−	0.548019i
$8$	−2.68974	−	0.874811i	−0.950967	−	0.309292i
$9$	2.66024	−	1.38677i	0.886747	−	0.462255i
$10$	0.0232979	−	0.221459i	0.00736743	−	0.0700314i
$11$	−2.59885			−0.783582			−0.391791	−	0.920054i	$-0.628144\pi$
$11$	−2.59885			−0.783582			−0.391791	+	0.920054i	$0.628144\pi$
$12$	3.46248	−	0.106109i	0.999531	−	0.0306311i
$13$	−2.67924	−	4.64058i	−0.743088	−	1.28707i	−0.951083	−	0.308936i	$-0.900027\pi$
$13$	−2.67924	−	4.64058i	−0.743088	−	1.28707i	0.207995	−	0.978130i	$-0.433306\pi$
$14$	2.89806	+	2.36670i	0.774539	+	0.632526i
$15$	0.0648991	+	0.264893i	0.0167569	+	0.0683951i
$16$	3.65355	+	1.62836i	0.913388	+	0.407089i
$17$	−3.58200	−	6.20420i	−0.868762	−	1.50474i	−0.863262	−	0.504756i	$-0.831583\pi$
$17$	−3.58200	−	6.20420i	−0.868762	−	1.50474i	−0.00550002	−	0.999985i	$-0.501751\pi$
$18$	−3.94669	+	1.55681i	−0.930243	+	0.366943i
$19$	3.09253	−	5.35642i	0.709475	−	1.22885i	−0.255577	−	0.966789i	$-0.582265\pi$
$19$	3.09253	−	5.35642i	0.709475	−	1.22885i	0.965052	−	0.262058i	$-0.0844013\pi$
$20$	−0.0655347	+	0.308024i	−0.0146540	+	0.0688763i
$21$	−4.32066	−	1.52704i	−0.942846	−	0.333228i
$22$	3.65515	+	0.384529i	0.779281	+	0.0819818i
$23$			5.00960i			1.04457i	0.852770	+	0.522287i	$0.174921\pi$
$23$			5.00960i			1.04457i	−0.852770	+	0.522287i	$0.825079\pi$
$24$	−4.88551	−	0.363075i	−0.997250	−	0.0741124i
$25$	4.97521			0.995041
$26$	3.08160	+	6.92318i	0.604351	+	1.35775i
$27$	3.90374	−	3.42941i	0.751274	−	0.659990i
$28$	−3.72580	−	3.75745i	−0.704110	−	0.710090i
$29$	0.215295	−	0.372903i	0.0399794	−	0.0692463i	−0.845343	−	0.534223i	$-0.820604\pi$
$29$	0.215295	−	0.372903i	0.0399794	−	0.0692463i	0.885323	+	0.464977i	$0.153937\pi$
$30$	−0.0520836	−	0.382162i	−0.00950911	−	0.0697729i
$31$	3.56777	+	2.05986i	0.640791	+	0.369961i	0.784919	−	0.619598i	$-0.212704\pi$
$31$	3.56777	+	2.05986i	0.640791	+	0.369961i	−0.144128	+	0.989559i	$0.546038\pi$
$32$	−4.89761	−	2.83079i	−0.865784	−	0.500418i
$33$	−4.37203	+	1.07115i	−0.761073	+	0.186464i
$34$	4.11993	+	9.25591i	0.706562	+	1.58738i
$35$	0.228304	−	0.348470i	0.0385903	−	0.0589022i
$36$	5.78118	−	1.60562i	0.963529	−	0.267603i
$37$	−2.86828	−	1.65600i	−0.471542	−	0.272245i	0.245343	−	0.969436i	$-0.421099\pi$
$37$	−2.86828	−	1.65600i	−0.471542	−	0.272245i	−0.716885	+	0.697191i	$0.754433\pi$
$38$	−5.14204	+	7.07597i	−0.834149	+	1.14787i
$39$	−6.41996	−	6.70255i	−1.02802	−	1.07327i
$40$	0.137747	−	0.423524i	0.0217797	−	0.0669651i
$41$	4.67707	+	8.10093i	0.730436	+	1.26515i	0.956697	+	0.291086i	$0.0940166\pi$
$41$	4.67707	+	8.10093i	0.730436	+	1.26515i	−0.226261	+	0.974067i	$0.572650\pi$
$42$	5.85086	+	2.78701i	0.902808	+	0.430044i
$43$	8.32734	+	4.80779i	1.26991	+	0.733181i	0.974970	−	0.222335i	$-0.0713680\pi$
$43$	8.32734	+	4.80779i	1.26991	+	0.733181i	0.294937	+	0.955517i	$0.404701\pi$
$44$	−5.08390	−	1.08164i	−0.766427	−	0.163064i
$45$	0.218359	+	0.418879i	0.0325510	+	0.0624428i
$46$	0.741227	−	7.04576i	0.109288	−	1.03884i
$47$	−0.490296	−	0.849217i	−0.0715170	−	0.123871i	0.828049	−	0.560655i	$-0.189451\pi$
$47$	−0.490296	−	0.849217i	−0.0715170	−	0.123871i	−0.899566	+	0.436784i	$0.856117\pi$
$48$	6.81751	+	1.23351i	0.984023	+	0.178042i
$49$	2.79545	+	6.41759i	0.399350	+	0.916798i
$50$	−6.99739	−	0.736138i	−0.989580	−	0.104106i
$51$	−8.58314	−	8.96094i	−1.20188	−	1.25478i
$52$	−3.30976	−	10.1931i	−0.458981	−	1.41353i
$53$	−2.96672	−	5.13850i	−0.407510	−	0.705828i	0.587100	−	0.809514i	$-0.300269\pi$
$53$	−2.96672	−	5.13850i	−0.407510	−	0.705828i	−0.994610	+	0.103687i	$0.966936\pi$
$54$	−5.99784	+	4.24570i	−0.816202	+	0.577766i
$55$		−	0.409212i		−	0.0551782i
$56$	4.68421	+	5.83594i	0.625953	+	0.779861i
$57$	2.99483	−	10.2857i	0.396674	−	1.36238i
$58$	−0.357978	+	0.492614i	−0.0470048	+	0.0646834i
$59$	−0.802085	−	0.463084i	−0.104423	−	0.0602884i	0.446879	−	0.894594i	$-0.352535\pi$
$59$	−0.802085	−	0.463084i	−0.104423	−	0.0602884i	−0.551302	+	0.834306i	$0.685869\pi$
$60$	0.0167079	+	0.545199i	0.00215698	+	0.0703848i
$61$	−6.61908	−	11.4646i	−0.847486	−	1.46789i	−0.883445	−	0.468535i	$-0.844782\pi$
$61$	−6.61908	−	11.4646i	−0.847486	−	1.46789i	0.0359589	−	0.999353i	$-0.488551\pi$
$62$	−4.71312	−	3.42498i	−0.598567	−	0.434973i
$63$	−7.89803	−	0.788117i	−0.995058	−	0.0992934i
$64$	6.46941	+	4.70603i	0.808676	+	0.588254i
$65$	0.730702	−	0.421871i	0.0906325	−	0.0523267i
$66$	6.30754	−	0.859634i	0.776404	−	0.105814i
$67$	−8.92058	−	5.15030i	−1.08982	−	0.629209i	−0.156293	−	0.987711i	$-0.549954\pi$
$67$	−8.92058	−	5.15030i	−1.08982	−	0.629209i	−0.933529	+	0.358502i	$0.883288\pi$
$68$	−4.42496	−	13.6276i	−0.536606	−	1.65259i
$69$	2.06478	+	8.42763i	0.248570	+	1.01457i
$70$	−0.372658	+	0.456326i	−0.0445412	+	0.0545414i
$71$		−	1.83152i		−	0.217362i	−0.994077	−	0.108681i	$-0.965337\pi$
$71$		−	1.83152i		−	0.217362i	0.994077	−	0.108681i	$-0.0346627\pi$
$72$	−8.36852	+	1.40283i	−0.986239	+	0.165326i
$73$	−7.13059	+	4.11685i	−0.834573	+	0.481841i	−0.855416	−	0.517942i	$-0.826698\pi$
$73$	−7.13059	+	4.11685i	−0.834573	+	0.481841i	0.0208428	+	0.999783i	$0.493365\pi$
$74$	3.78907	+	2.75348i	0.440471	+	0.320086i
$75$	8.36977	−	2.05060i	0.966458	−	0.236783i
$76$	8.27900	−	9.19120i	0.949667	−	1.05430i
$77$	5.75146	+	3.76812i	0.655439	+	0.429418i
$78$	8.03765	+	10.3767i	0.910085	+	1.17493i
$79$	6.19691	+	10.7334i	0.697207	+	1.20760i	0.969431	+	0.245364i	$0.0789073\pi$
$79$	6.19691	+	10.7334i	0.697207	+	1.20760i	−0.272225	+	0.962234i	$0.587759\pi$
$80$	−0.256400	+	0.575285i	−0.0286664	+	0.0643189i
$81$	5.15376	−	7.37826i	0.572640	−	0.819807i
$82$	−5.37946	−	12.0856i	−0.594062	−	1.33463i
$83$	4.53554	+	2.61860i	0.497840	+	0.287428i	0.727821	−	0.685767i	$-0.240533\pi$
$83$	4.53554	+	2.61860i	0.497840	+	0.287428i	−0.229981	+	0.973195i	$0.573866\pi$
$84$	−7.81659	−	4.78549i	−0.852860	−	0.522140i
$85$	0.976909	−	0.564019i	0.105961	−	0.0611764i
$86$	−11.0006	−	7.99405i	−1.18623	−	0.862021i
$87$	0.208493	−	0.716070i	0.0223528	−	0.0767708i
$88$	6.99022	+	2.27350i	0.745160	+	0.242356i
$89$	5.73166	−	9.92752i	0.607554	−	1.05231i	−0.384088	−	0.923297i	$-0.625484\pi$
$89$	5.73166	−	9.92752i	0.607554	−	1.05231i	0.991642	−	0.129018i	$-0.0411826\pi$
$90$	−0.245134	−	0.621442i	−0.0258393	−	0.0655058i
$91$	−0.799105	+	14.1547i	−0.0837690	+	1.48381i
$92$	−2.08500	+	9.79985i	−0.217376	+	1.02171i
$93$	6.85105	+	1.99478i	0.710421	+	0.206849i
$94$	0.563926	+	1.26693i	0.0581646	+	0.130674i
$95$	0.843418	+	0.486947i	0.0865328	+	0.0499597i
$96$	−9.40599	−	2.74361i	−0.959995	−	0.280018i
$97$	−1.48321	−	0.856331i	−0.150597	−	0.0869472i	0.422808	−	0.906219i	$-0.361044\pi$
$97$	−1.48321	−	0.856331i	−0.150597	−	0.0869472i	−0.573405	+	0.819272i	$0.694378\pi$
$98$	−2.98211	−	9.43965i	−0.301239	−	0.953549i
$99$	−6.91356	+	3.60399i	−0.694839	+	0.362215i
$100$	9.73257	+	2.07069i	0.973257	+	0.207069i
$101$			0.0694167i			0.00690722i	0.999994	+	0.00345361i	$0.00109932\pi$
$101$			0.0694167i			0.00690722i	−0.999994	+	0.00345361i	$0.998901\pi$
$102$	10.7459	+	13.8731i	1.06400	+	1.37364i
$103$			14.1252i			1.39180i	0.718140	+	0.695898i	$0.244994\pi$
$103$			14.1252i			1.39180i	−0.718140	+	0.695898i	$0.755006\pi$
$104$	3.14683	+	14.8258i	0.308572	+	1.45379i
$105$	0.240447	−	0.680328i	0.0234652	−	0.0663932i
$106$	3.41224	+	7.66602i	0.331426	+	0.744589i
$107$	−6.81611	+	11.8058i	−0.658938	+	1.14131i	0.321953	+	0.946756i	$0.395661\pi$
$107$	−6.81611	+	11.8058i	−0.658938	+	1.14131i	−0.980891	+	0.194559i	$0.937673\pi$
$108$	9.06387	−	5.08392i	0.872171	−	0.489200i
$109$	−1.32548	+	0.765269i	−0.126958	+	0.0732995i	−0.562134	−	0.827046i	$-0.690020\pi$
$109$	−1.32548	+	0.765269i	−0.126958	+	0.0732995i	0.435176	+	0.900346i	$0.356686\pi$
$110$	−0.0605476	+	0.575537i	−0.00577298	+	0.0548753i
$111$	−5.50784	−	1.60368i	−0.522781	−	0.152215i
$112$	−5.72462	−	8.90105i	−0.540925	−	0.841071i
$113$	9.80332	−	5.65995i	0.922219	−	0.532444i	0.0378768	−	0.999282i	$-0.487941\pi$
$113$	9.80332	−	5.65995i	0.922219	−	0.532444i	0.884342	+	0.466839i	$0.154607\pi$
$114$	−5.73397	+	14.0233i	−0.537035	+	1.31340i
$115$	−0.788807			−0.0735567
$116$	0.576367	−	0.639872i	0.0535143	−	0.0594106i
$117$	−13.5628	−	8.62959i	−1.25388	−	0.797805i
$118$	1.05958	+	0.769983i	0.0975419	+	0.0708827i
$119$	−1.06836	+	18.9240i	−0.0979364	+	1.73476i
$120$	0.0571695	−	0.769268i	0.00521884	−	0.0702242i
$121$	−4.24600			−0.386000
$122$	7.61310	+	17.1037i	0.689258	+	1.54850i
$123$	11.2071	+	11.7004i	1.01051	+	1.05499i
$124$	6.12202	+	5.51443i	0.549773	+	0.495210i
$125$			1.57069i			0.140487i
$126$	10.9916	+	2.27705i	0.979209	+	0.202856i
$127$	11.2428			0.997641			0.498820	−	0.866705i	$-0.333767\pi$
$127$	11.2428			0.997641			0.498820	+	0.866705i	$0.333767\pi$
$128$	−8.40261	−	7.57603i	−0.742693	−	0.669633i
$129$	15.9907	+	4.65589i	1.40790	+	0.409929i
$130$	−1.09012	+	0.485226i	−0.0956097	+	0.0425571i
$131$			8.29791i			0.724991i	0.931985	+	0.362496i	$0.118075\pi$
$131$			8.29791i			0.724991i	−0.931985	+	0.362496i	$0.881925\pi$
$132$	−8.99844	+	0.275762i	−0.783214	+	0.0240020i
$133$	−14.6104	+	7.37026i	−1.26688	+	0.639083i
$134$	11.7843	+	8.56355i	1.01801	+	0.739778i
$135$	0.539992	+	0.614679i	0.0464751	+	0.0529032i
$136$	4.20714	+	19.8213i	0.360760	+	1.69966i
$137$		−	3.77453i		−	0.322480i	−0.986915	−	0.161240i	$-0.948451\pi$
$137$		−	3.77453i		−	0.322480i	0.986915	−	0.161240i	$-0.0515493\pi$
$138$	−1.65705	−	12.1586i	−0.141058	−	1.03501i
$139$	−0.882979	−	1.52937i	−0.0748933	−	0.129719i	0.826147	−	0.563455i	$-0.190528\pi$
$139$	−0.882979	−	1.52937i	−0.0748933	−	0.129719i	−0.901040	+	0.433736i	$0.857195\pi$
$140$	0.591644	−	0.586662i	0.0500031	−	0.0495820i
$141$	−1.17484	−	1.22655i	−0.0989394	−	0.103294i
$142$	−0.270994	+	2.57595i	−0.0227413	+	0.216169i
$143$	6.96294	+	12.0602i	0.582270	+	1.00852i
$144$	11.9775	−	0.734801i	0.998123	−	0.0612335i
$145$	0.0587169	+	0.0339002i	0.00487618	+	0.00281526i
$146$	10.6380	−	4.73510i	0.880405	−	0.391880i
$147$	7.34788	+	9.64410i	0.606043	+	0.795432i
$148$	−4.92174	−	4.43328i	−0.404565	−	0.364413i
$149$	−1.86878			−0.153096			−0.0765481	−	0.997066i	$-0.524390\pi$
$149$	−1.86878			−0.153096			−0.0765481	+	0.997066i	$0.524390\pi$
$150$	−12.0751	+	1.64567i	−0.985927	+	0.134369i
$151$	−9.39516			−0.764567			−0.382284	−	0.924045i	$-0.624862\pi$
$151$	−9.39516			−0.764567			−0.382284	+	0.924045i	$0.624862\pi$
$152$	−13.0040	+	11.7020i	−1.05476	+	0.949158i
$153$	−18.1328	−	11.5373i	−1.46595	−	0.932734i
$154$	−7.53161	−	6.15068i	−0.606915	−	0.495636i
$155$	−0.324343	+	0.561779i	−0.0260519	+	0.0451231i
$156$	−9.76922	−	15.7836i	−0.782163	−	1.26370i
$157$	−1.32927	+	2.30236i	−0.106087	+	0.183748i	−0.914182	−	0.405304i	$-0.867166\pi$
$157$	−1.32927	+	2.30236i	−0.106087	+	0.183748i	0.808095	+	0.589052i	$0.200499\pi$
$158$	−7.12753	−	16.0129i	−0.567036	−	1.27391i
$159$	−7.10880	−	7.42171i	−0.563765	−	0.588580i
$160$	0.445734	−	0.771174i	0.0352384	−	0.0609667i
$161$	7.26353	−	11.0866i	0.572446	−	0.873750i
$162$	−8.34021	+	9.61462i	−0.655269	+	0.755396i
$163$	6.40426	+	3.69750i	0.501620	+	0.289611i	0.729383	−	0.684106i	$-0.239807\pi$
$163$	6.40426	+	3.69750i	0.501620	+	0.289611i	−0.227762	+	0.973717i	$0.573141\pi$
$164$	5.77775	+	17.7938i	0.451166	+	1.38946i
$165$	−0.168663	−	0.688416i	−0.0131304	−	0.0535931i
$166$	−5.99157	−	4.35401i	−0.465036	−	0.337937i
$167$	0.697911	+	1.20882i	0.0540060	+	0.0935411i	0.891765	−	0.452500i	$-0.149468\pi$
$167$	0.697911	+	1.20882i	0.0540060	+	0.0935411i	−0.837759	+	0.546041i	$0.816134\pi$
$168$	10.2856	+	7.88712i	0.793551	+	0.608504i
$169$	−7.85667	+	13.6082i	−0.604359	+	1.04678i
$170$	−1.45743	+	0.648720i	−0.111780	+	0.0497546i
$171$	0.798775	−	18.5380i	0.0610838	−	1.41764i
$172$	14.2891	+	12.8709i	1.08953	+	0.981398i
$173$	20.3896	−	11.7719i	1.55019	−	0.895003i	0.552065	−	0.833801i	$-0.313840\pi$
$173$	20.3896	−	11.7719i	1.55019	−	0.895003i	0.998125	−	0.0612020i	$-0.0194934\pi$
$174$	−0.399187	+	0.976269i	−0.0302623	+	0.0740108i
$175$	−11.0105	−	7.21366i	−0.832318	−	0.545302i
$176$	−9.49502	−	4.23185i	−0.715714	−	0.318988i
$177$	−1.54021	−	0.448453i	−0.115769	−	0.0337078i
$178$	−9.53019	+	13.1145i	−0.714318	+	0.982975i
$179$	−4.98364	−	8.63192i	−0.372495	−	0.645180i	0.617454	−	0.786607i	$-0.288164\pi$
$179$	−4.98364	−	8.63192i	−0.372495	−	0.645180i	−0.989949	+	0.141427i	$0.954831\pi$
$180$	0.252819	+	0.910299i	0.0188440	+	0.0678497i
$181$	23.1142			1.71807			0.859033	−	0.511920i	$-0.171066\pi$
$181$	23.1142			1.71807			0.859033	+	0.511920i	$0.171066\pi$
$182$	3.21825	−	19.7896i	0.238552	−	1.46691i
$183$	−15.8605	−	16.5587i	−1.17244	−	1.22405i
$184$	4.38245	−	13.4745i	0.323079	−	0.993355i
$185$	0.260753	−	0.451637i	0.0191709	−	0.0332050i
$186$	−9.34053	−	3.81925i	−0.684881	−	0.280041i
$187$	9.30906	+	16.1238i	0.680746	+	1.17909i
$188$	−0.605679	−	1.86531i	−0.0441737	−	0.136042i
$189$	−13.6117	+	1.92944i	−0.990102	+	0.140346i
$190$	−1.11418	−	0.809661i	−0.0808309	−	0.0587390i
$191$	19.4097	−	11.2062i	1.40444	−	0.810852i	0.409593	−	0.912268i	$-0.365671\pi$
$191$	19.4097	−	11.2062i	1.40444	−	0.810852i	0.994844	+	0.101416i	$0.0323374\pi$
$192$	12.8231	+	5.25047i	0.925429	+	0.378920i
$193$	−2.38208	+	4.12589i	−0.171466	+	0.296988i	−0.938933	−	0.344101i	$-0.888184\pi$
$193$	−2.38208	+	4.12589i	−0.171466	+	0.296988i	0.767467	+	0.641089i	$0.221517\pi$
$194$	1.95936	+	1.42385i	0.140674	+	0.102226i
$195$	1.05538	−	1.01088i	0.0755771	−	0.0723908i
$196$	2.79750	+	13.7177i	0.199821	+	0.979832i
$197$	23.8692			1.70061			0.850305	−	0.526291i	$-0.176418\pi$
$197$	23.8692			1.70061			0.850305	+	0.526291i	$0.176418\pi$
$198$	10.2568	−	4.04590i	0.728922	−	0.287530i
$199$	10.0570	−	5.80640i	0.712920	−	0.411605i	−0.0992210	−	0.995065i	$-0.531635\pi$
$199$	10.0570	−	5.80640i	0.712920	−	0.411605i	0.812141	+	0.583461i	$0.198302\pi$
$200$	−13.3820	−	4.35237i	−0.946251	−	0.307759i
$201$	−17.1298	−	4.98758i	−1.20824	−	0.351797i
$202$	0.0102710	−	0.0976313i	0.000722664	−	0.00686931i
$203$	−1.01715	+	0.513102i	−0.0713897	+	0.0360127i
$204$	−13.0609	−	21.1018i	−0.914447	−	1.47742i
$205$	−1.27557	+	0.736448i	−0.0890894	+	0.0514358i
$206$	2.08998	−	19.8664i	0.145616	−	1.38416i
$207$	6.94714	+	13.3267i	0.482860	+	0.926272i
$208$	−2.23223	−	21.3174i	−0.154777	−	1.47809i
$209$	−8.03701	+	13.9205i	−0.555932	+	0.962902i
$210$	−0.438840	+	0.921272i	−0.0302828	+	0.0635738i
$211$	−1.73515	+	1.00179i	−0.119453	+	0.0689662i	−0.558536	−	0.829480i	$-0.688637\pi$
$211$	−1.73515	+	1.00179i	−0.119453	+	0.0689662i	0.439083	+	0.898446i	$0.355303\pi$
$212$	−3.66488	−	11.2868i	−0.251705	−	0.775178i
$213$	−0.754889	−	3.08116i	−0.0517241	−	0.211118i
$214$	11.3333	−	15.5958i	0.774731	−	1.06611i
$215$	−0.757031	+	1.31122i	−0.0516291	+	0.0894242i
$216$	−13.5001	+	5.80919i	−0.918567	+	0.395265i
$217$	−4.90914	−	9.73162i	−0.333254	−	0.660625i
$218$	1.97746	−	0.880194i	0.133931	−	0.0596142i
$219$	−10.2990	+	9.86474i	−0.695939	+	0.666597i
$220$	0.170315	−	0.800507i	0.0114826	−	0.0539702i
$221$	−19.1941	+	33.2451i	−1.29113	+	2.23631i
$222$	7.50923	+	3.07045i	0.503987	+	0.206075i
$223$	−8.69614	−	5.02072i	−0.582336	−	0.336212i	0.179725	−	0.983717i	$-0.442479\pi$
$223$	−8.69614	−	5.02072i	−0.582336	−	0.336212i	−0.762061	+	0.647505i	$0.775813\pi$
$224$	6.73439	+	13.3659i	0.449960	+	0.893049i
$225$	13.2352	−	6.89945i	0.882350	−	0.459963i
$226$	−14.6254	+	6.50994i	−0.972865	+	0.433035i
$227$		−	0.560753i		−	0.0372185i	−0.999827	−	0.0186092i	$-0.994076\pi$
$227$		−	0.560753i		−	0.0372185i	0.999827	−	0.0186092i	$-0.00592385\pi$
$228$	10.1394	−	18.8746i	0.671501	−	1.25000i
$229$	4.30993			0.284808			0.142404	−	0.989809i	$-0.454517\pi$
$229$	4.30993			0.284808			0.142404	+	0.989809i	$0.454517\pi$
$230$	1.10942	+	0.116713i	0.0731530	+	0.00769583i
$231$	11.2287	+	3.96855i	0.738797	+	0.261112i
$232$	−0.905308	+	0.814669i	−0.0594364	+	0.0534856i
$233$	−2.86589	−	1.65462i	−0.187751	−	0.108398i	0.403178	−	0.915121i	$-0.367905\pi$
$233$	−2.86589	−	1.65462i	−0.187751	−	0.108398i	−0.590929	+	0.806723i	$0.701239\pi$
$234$	17.7986	+	14.1439i	1.16353	+	0.924614i
$235$	0.133717	−	0.0772016i	0.00872274	−	0.00503608i
$236$	−1.37631	−	1.23972i	−0.0895905	−	0.0806989i
$237$	14.8489	+	15.5025i	0.964543	+	1.00700i
$238$	4.30262	−	26.4577i	0.278897	−	1.71500i
$239$	−16.0159	+	9.24680i	−1.03598	+	0.598126i	−0.918693	−	0.394971i	$-0.870754\pi$
$239$	−16.0159	+	9.24680i	−1.03598	+	0.598126i	−0.117291	+	0.993098i	$0.537421\pi$
$240$	−0.194228	+	1.07348i	−0.0125374	+	0.0692928i
$241$		−	19.5007i		−	1.25615i	−0.778153	−	0.628075i	$-0.783843\pi$
$241$		−	19.5007i		−	1.25615i	0.778153	−	0.628075i	$-0.216157\pi$
$242$	5.97179	+	0.628243i	0.383881	+	0.0403850i
$243$	5.62909	−	14.5366i	0.361106	−	0.932525i
$244$	−8.17677	−	25.1820i	−0.523464	−	1.61212i
$245$	−1.01051	+	0.440170i	−0.0645590	+	0.0281214i
$246$	−14.0311	−	18.1143i	−0.894590	−	1.15493i
$247$	−33.1426			−2.10881
$248$	−7.79440	−	8.66160i	−0.494945	−	0.550012i
$249$	8.70942	+	2.53586i	0.551937	+	0.160704i
$250$	0.232401	−	2.20910i	0.0146983	−	0.139716i
$251$		−	3.77751i		−	0.238434i	−0.992868	−	0.119217i	$-0.961962\pi$
$251$		−	3.77751i		−	0.238434i	0.992868	−	0.119217i	$-0.0380384\pi$
$252$	−15.1222	−	4.82889i	−0.952611	−	0.304192i
$253$		−	13.0192i		−	0.818509i
$254$	−15.8125	−	1.66351i	−0.992166	−	0.104378i
$255$	1.41098	−	1.35149i	0.0883591	−	0.0846338i
$256$	10.6969	+	11.8986i	0.668557	+	0.743661i
$257$	−0.284447			−0.0177433			−0.00887166	−	0.999961i	$-0.502824\pi$
$257$	−0.284447			−0.0177433			−0.00887166	+	0.999961i	$0.502824\pi$
$258$	−21.8012	−	8.91429i	−1.35728	−	0.554979i
$259$	3.94666	+	7.82365i	0.245233	+	0.486138i
$260$	1.60499	−	0.521152i	0.0995375	−	0.0323204i
$261$	0.0556090	−	1.29058i	0.00344211	−	0.0798846i
$262$	1.22777	−	11.6706i	0.0758518	−	0.721012i
$263$		−	7.99058i		−	0.492720i	−0.969178	−	0.246360i	$-0.920765\pi$
$263$		−	7.99058i		−	0.492720i	0.969178	−	0.246360i	$-0.0792346\pi$
$264$	12.6967	+	0.943576i	0.781427	+	0.0580731i
$265$	0.809104	−	0.467137i	0.0497029	−	0.0286960i
$266$	21.6394	−	8.20414i	1.32679	−	0.503028i
$267$	5.55057	−	19.0634i	0.339689	−	1.16666i
$268$	−15.3070	−	13.7878i	−0.935024	−	0.842227i
$269$	1.32566	−	0.765368i	0.0808266	−	0.0466653i	−0.459042	−	0.888415i	$-0.651807\pi$
$269$	1.32566	−	0.765368i	0.0808266	−	0.0466653i	0.539869	+	0.841749i	$0.318474\pi$
$270$	−0.668524	−	0.944415i	−0.0406851	−	0.0574752i
$271$	18.5503	+	10.7100i	1.12685	+	0.650588i	0.943141	−	0.332393i	$-0.107856\pi$
$271$	18.5503	+	10.7100i	1.12685	+	0.650588i	0.183710	+	0.982980i	$0.441189\pi$
$272$	−2.98436	−	28.5002i	−0.180954	−	1.72808i
$273$	4.48972	+	24.1417i	0.271731	+	1.46112i
$274$	−0.558484	+	5.30870i	−0.0337393	+	0.320710i
$275$	−12.9298			−0.779696
$276$	0.531565	+	17.3456i	0.0319964	+	1.04408i
$277$			3.33499i			0.200380i	0.994968	+	0.100190i	$0.0319451\pi$
$277$			3.33499i			0.200380i	−0.994968	+	0.100190i	$0.968055\pi$
$278$	1.01558	+	2.28163i	0.0609105	+	0.136843i
$279$	12.3477	+	0.532043i	0.739236	+	0.0318526i
$280$	−0.918923	+	0.737571i	−0.0549161	+	0.0440783i
$281$	−2.72133	−	1.57116i	−0.162341	−	0.0937277i	0.416628	−	0.909077i	$-0.363212\pi$
$281$	−2.72133	−	1.57116i	−0.162341	−	0.0937277i	−0.578970	+	0.815349i	$0.696545\pi$
$282$	1.47087	+	1.89892i	0.0875893	+	0.113079i
$283$	−2.74946	+	4.76220i	−0.163438	+	0.283084i	−0.936100	−	0.351735i	$-0.885592\pi$
$283$	−2.74946	+	4.76220i	−0.163438	+	0.283084i	0.772661	+	0.634819i	$0.218925\pi$
$284$	0.762281	−	3.58285i	0.0452331	−	0.212603i
$285$	1.61958	+	0.471563i	0.0959357	+	0.0279330i
$286$	−8.00860	−	17.9923i	−0.473558	−	1.06391i
$287$	1.39497	−	24.7094i	0.0823428	−	1.45855i
$288$	−16.9545	−	0.738741i	−0.999052	−	0.0435307i
$289$	−17.1614	+	29.7245i	−1.00950	+	1.74850i
$290$	−0.0775666	−	0.0563669i	−0.00455487	−	0.00330998i
$291$	−2.84815	−	0.829276i	−0.166961	−	0.0486130i
$292$	−15.6624	+	5.08568i	−0.916573	+	0.297617i
$293$	19.0156	−	10.9787i	1.11090	−	0.641381i	0.171841	−	0.985125i	$-0.445029\pi$
$293$	19.0156	−	10.9787i	1.11090	−	0.641381i	0.939063	+	0.343744i	$0.111695\pi$
$294$	−8.90749	−	14.6512i	−0.519495	−	0.854473i
$295$	0.0729168	−	0.126296i	0.00424538	−	0.00735322i
$296$	6.26624	+	6.96342i	0.364218	+	0.404740i
$297$	−10.1452	+	8.91251i	−0.588685	+	0.517156i
$298$	2.62835	+	0.276507i	0.152256	+	0.0160176i
$299$	23.2475	−	13.4219i	1.34444	−	0.776210i
$300$	17.2265	−	0.527915i	0.994574	−	0.0304792i
$301$	−11.4581	−	22.7140i	−0.660437	−	1.30921i
$302$	13.2138	+	1.39012i	0.760371	+	0.0799924i
$303$	0.0286111	+	0.116780i	0.00164367	+	0.00670881i
$304$	20.0209	−	14.5342i	1.14828	−	0.833595i
$305$	1.80520	−	1.04223i	0.103366	−	0.0596782i
$306$	23.7958	+	18.9096i	1.36031	+	1.08099i
$307$	2.82773			0.161387			0.0806936	−	0.996739i	$-0.474286\pi$
$307$	2.82773			0.161387			0.0806936	+	0.996739i	$0.474286\pi$
$308$	9.68279	+	9.76502i	0.551728	+	0.556414i
$309$	5.82191	+	23.7628i	0.331197	+	1.35182i
$310$	0.539294	−	0.742125i	0.0306299	−	0.0421498i
$311$	0.520951	−	0.902313i	0.0295404	−	0.0511655i	−0.850877	−	0.525365i	$-0.823929\pi$
$311$	0.520951	−	0.902313i	0.0295404	−	0.0511655i	0.880418	+	0.474199i	$0.157262\pi$
$312$	11.4046	+	23.6444i	0.645657	+	1.33860i
$313$	−9.16333	+	5.29045i	−0.517942	+	0.299034i	−0.736092	−	0.676881i	$-0.763331\pi$
$313$	−9.16333	+	5.29045i	−0.517942	+	0.299034i	0.218150	+	0.975915i	$0.429998\pi$
$314$	2.21021	−	3.04148i	0.124729	−	0.171640i
$315$	0.124096	−	1.24362i	0.00699203	−	0.0700699i
$316$	7.65525	+	23.5759i	0.430641	+	1.32625i
$317$	−4.99385	−	8.64960i	−0.280482	−	0.485810i	0.691021	−	0.722834i	$-0.257161\pi$
$317$	−4.99385	−	8.64960i	−0.280482	−	0.485810i	−0.971504	+	0.237025i	$0.923828\pi$
$318$	8.90007	+	11.4901i	0.499091	+	0.644333i
$319$	−0.559520	+	0.969117i	−0.0313271	+	0.0542601i
$320$	−0.741007	+	1.01867i	−0.0414236	+	0.0569453i
$321$	−6.60076	+	22.6703i	−0.368419	+	1.26533i
$322$	−11.8562	+	14.5181i	−0.660720	+	0.809063i
$323$	−44.3098			−2.46546
$324$	13.1527	−	12.2885i	0.730706	−	0.682693i
$325$	−13.3298	−	23.0879i	−0.739403	−	1.28068i
$326$	−8.46020	−	6.14794i	−0.468567	−	0.340503i
$327$	−1.91444	+	1.83373i	−0.105869	+	0.101405i
$328$	−5.49334	−	25.8810i	−0.303319	−	1.42904i
$329$	−0.146235	+	2.59028i	−0.00806218	+	0.142807i
$330$	0.135357	+	0.993180i	0.00745117	+	0.0546727i
$331$	0.287480	−	0.165976i	0.0158013	−	0.00912289i	−0.492079	−	0.870551i	$-0.663763\pi$
$331$	0.287480	−	0.165976i	0.0158013	−	0.00912289i	0.507880	+	0.861428i	$0.330429\pi$
$332$	7.78263	+	7.01023i	0.427127	+	0.384737i
$333$	−9.92680	−	0.427731i	−0.543985	−	0.0234395i
$334$	−0.802720	−	1.80341i	−0.0439229	−	0.0986780i
$335$	0.810962	−	1.40463i	0.0443076	−	0.0767430i
$336$	−13.2992	−	12.6147i	−0.725531	−	0.688190i
$337$	12.3928	+	21.4649i	0.675077	+	1.16927i	0.976446	+	0.215760i	$0.0692228\pi$
$337$	12.3928	+	21.4649i	0.675077	+	1.16927i	−0.301370	+	0.953507i	$0.597444\pi$
$338$	13.0635	−	17.9767i	0.710561	−	0.977805i
$339$	14.1593	−	13.5623i	0.769026	−	0.736603i
$340$	2.14579	−	0.696751i	0.116372	−	0.0377866i
$341$	−9.27210	−	5.35325i	−0.502112	−	0.289895i
$342$	−3.86634	+	25.9546i	−0.209068	+	1.40346i
$343$	3.11844	−	18.2558i	0.168380	−	0.985722i
$344$	−18.1925	−	20.2166i	−0.980872	−	1.09000i
$345$	−1.32701	+	0.325118i	−0.0714437	+	0.0175038i
$346$	−30.4187	+	13.5398i	−1.63532	+	0.727903i
$347$	−2.62064	+	4.53908i	−0.140683	+	0.243671i	−0.927754	−	0.373192i	$-0.878263\pi$
$347$	−2.62064	+	4.53908i	−0.140683	+	0.243671i	0.787071	+	0.616863i	$0.211597\pi$
$348$	0.705887	−	1.31401i	0.0378395	−	0.0704384i
$349$	−15.7057	+	27.2031i	−0.840708	+	1.45615i	0.0485896	+	0.998819i	$0.484527\pi$
$349$	−15.7057	+	27.2031i	−0.840708	+	1.45615i	−0.889297	+	0.457330i	$0.848806\pi$
$350$	14.4184	+	11.7748i	0.770698	+	0.629390i
$351$	−26.3735	−	8.92740i	−1.40771	−	0.476509i
$352$	12.7281	+	7.35679i	0.678412	+	0.392118i
$353$	25.8232			1.37443			0.687214	−	0.726455i	$-0.258833\pi$
$353$	25.8232			1.37443			0.687214	+	0.726455i	$0.258833\pi$
$354$	2.09988	+	0.858620i	0.111607	+	0.0456351i
$355$	0.288390			0.0153061
$356$	15.3442	−	17.0348i	0.813241	−	0.902845i
$357$	6.00252	+	32.2762i	0.317687	+	1.70824i
$358$	5.73206	+	12.8778i	0.302949	+	0.680611i
$359$	19.0848	+	11.0186i	1.00726	+	0.581541i	0.910388	−	0.413756i	$-0.135783\pi$
$359$	19.0848	+	11.0186i	1.00726	+	0.581541i	0.0968704	+	0.995297i	$0.469117\pi$
$360$	−0.220889	−	1.31770i	−0.0116419	−	0.0694489i
$361$	−9.62750	−	16.6753i	−0.506710	−	0.877648i
$362$	−32.5090	−	3.42001i	−1.70864	−	0.179752i
$363$	−7.14302	+	1.75005i	−0.374912	+	0.0918538i
$364$	−7.45441	+	27.3570i	−0.390717	+	1.43390i
$365$	−0.648236	−	1.12278i	−0.0339302	−	0.0587689i
$366$	19.8570	+	25.6357i	1.03794	+	1.34000i
$367$		−	5.36037i		−	0.279809i	−0.990165	−	0.139905i	$-0.955320\pi$
$367$		−	5.36037i		−	0.279809i	0.990165	−	0.139905i	$-0.0446796\pi$
$368$	−8.15742	+	18.3028i	−0.425235	+	0.954101i
$369$	23.6762	+	15.0644i	1.23254	+	0.784222i
$370$	−0.433561	+	0.596624i	−0.0225398	+	0.0310170i
$371$	−0.884847	+	15.6734i	−0.0459390	+	0.813724i
$372$	12.5719	+	6.75363i	0.651823	+	0.350159i
$373$		−	2.15249i		−	0.111452i	−0.998446	−	0.0557258i	$-0.982253\pi$
$373$		−	2.15249i		−	0.111452i	0.998446	−	0.0557258i	$-0.0177473\pi$
$374$	−10.7071	−	24.0547i	−0.553649	−	1.24384i
$375$	0.647382	+	2.64236i	0.0334307	+	0.136451i
$376$	0.575864	+	2.71309i	0.0296979	+	0.139917i
$377$	−2.30731			−0.118833
$378$	19.4296	−	0.699670i	0.999352	−	0.0359871i
$379$			6.19384i			0.318156i	0.987266	+	0.159078i	$0.0508521\pi$
$379$			6.19384i			0.318156i	−0.987266	+	0.159078i	$0.949148\pi$
$380$	1.44724	+	1.30360i	0.0742417	+	0.0668735i
$381$	18.9138	−	4.63390i	0.968983	−	0.237402i
$382$	−28.9569	+	12.8891i	−1.48156	+	0.659464i
$383$	16.1005			0.822700			0.411350	−	0.911478i	$-0.365057\pi$
$383$	16.1005			0.822700			0.411350	+	0.911478i	$0.365057\pi$
$384$	−17.2582	−	9.28186i	−0.880706	−	0.473663i
$385$	−0.593326	+	0.905620i	−0.0302387	+	0.0461546i
$386$	3.96076	−	5.45041i	0.201597	−	0.277418i
$387$	28.8200	+	1.24181i	1.46500	+	0.0631248i
$388$	−2.54507	−	2.29248i	−0.129206	−	0.116383i
$389$	−11.6599			−0.591179			−0.295590	−	0.955315i	$-0.595516\pi$
$389$	−11.6599			−0.591179			−0.295590	+	0.955315i	$0.595516\pi$
$390$	−1.63391	+	1.26560i	−0.0827362	+	0.0640862i
$391$	31.0806	−	17.9444i	1.57181	−	0.907486i
$392$	−1.90486	−	19.7071i	−0.0962102	−	0.995361i
$393$	3.42010	+	13.9595i	0.172521	+	0.704165i
$394$	−33.5709	−	3.53172i	−1.69128	−	0.177925i
$395$	−1.69007	+	0.975760i	−0.0850364	+	0.0490958i
$396$	−15.0244	+	4.17275i	−0.755004	+	0.209689i
$397$	−2.06031	+	3.56856i	−0.103404	+	0.179101i	−0.913085	−	0.407769i	$-0.866307\pi$
$397$	−2.06031	+	3.56856i	−0.103404	+	0.179101i	0.809681	+	0.586870i	$0.199640\pi$
$398$	−15.0038	+	6.67838i	−0.752072	+	0.334757i
$399$	−21.5413	+	18.4209i	−1.07841	+	0.922196i
$400$	18.1772	+	8.10141i	0.908859	+	0.405071i
$401$		−	26.7664i		−	1.33665i	−0.743870	−	0.668325i	$-0.767012\pi$
$401$		−	26.7664i		−	1.33665i	0.743870	−	0.668325i	$-0.232988\pi$
$402$	23.3543	+	9.54934i	1.16481	+	0.476278i
$403$		−	22.0754i		−	1.09965i
$404$	−0.0288913	+	0.135794i	−0.00143740	+	0.00675601i
$405$	1.16178	+	0.811507i	0.0577291	+	0.0403241i
$406$	1.50649	−	0.571155i	0.0747657	−	0.0283460i
$407$	7.45422	+	4.30369i	0.369492	+	0.213326i
$408$	15.2473	+	31.6112i	0.754853	+	1.56499i
$409$	−3.99508	−	2.30656i	−0.197544	−	0.114052i	0.397965	−	0.917400i	$-0.369716\pi$
$409$	−3.99508	−	2.30656i	−0.197544	−	0.114052i	−0.595509	+	0.803348i	$0.703050\pi$
$410$	1.90299	−	0.847045i	0.0939819	−	0.0418326i
$411$	−1.55573	−	6.34988i	−0.0767384	−	0.313216i
$412$	−5.87892	+	27.6319i	−0.289634	+	1.36133i
$413$	1.10364	+	2.18780i	0.0543067	+	0.107655i
$414$	−7.79898	−	19.7713i	−0.383299	−	0.971708i
$415$	−0.412322	+	0.714163i	−0.0202401	+	0.0350569i
$416$	−0.0146286	+	30.3122i	−0.000717226	+	1.48618i
$417$	−2.11578	−	2.20891i	−0.103610	−	0.108171i
$418$	13.3634	−	18.3894i	0.653624	−	0.899454i
$419$	9.05077	−	5.22547i	0.442159	−	0.255281i	−0.262354	−	0.964972i	$-0.584499\pi$
$419$	9.05077	−	5.22547i	0.442159	−	0.255281i	0.704513	+	0.709691i	$0.251165\pi$
$420$	0.753520	−	1.23079i	0.0367680	−	0.0600566i
$421$	−11.0720	−	6.39244i	−0.539618	−	0.311549i	0.205306	−	0.978698i	$-0.434181\pi$
$421$	−11.0720	−	6.39244i	−0.539618	−	0.311549i	−0.744924	+	0.667149i	$0.767514\pi$
$422$	2.58864	−	1.15224i	0.126013	−	0.0560900i
$423$	−2.48197	−	1.57920i	−0.120678	−	0.0767832i
$424$	3.48448	+	16.4166i	0.169221	+	0.797258i
$425$	−17.8212	−	30.8672i	−0.864454	−	1.49728i
$426$	0.605822	+	4.44520i	0.0293522	+	0.215371i
$427$	−1.97419	+	34.9692i	−0.0955379	+	1.69228i
$428$	−18.2474	+	20.2579i	−0.882020	+	0.979203i
$429$	16.6845	+	17.4189i	0.805535	+	0.840992i
$430$	1.25874	−	1.73215i	0.0607017	−	0.0835317i
$431$	−22.6491	+	13.0764i	−1.09097	+	0.629870i	−0.933834	−	0.357707i	$-0.883559\pi$
$431$	−22.6491	+	13.0764i	−1.09097	+	0.629870i	−0.157134	+	0.987577i	$0.550225\pi$
$432$	19.8468	−	6.17285i	0.954880	−	0.296991i
$433$			5.65476i			0.271751i	0.990726	+	0.135875i	$0.0433846\pi$
$433$			5.65476i			0.271751i	−0.990726	+	0.135875i	$0.956615\pi$
$434$	5.46457	+	14.4134i	0.262308	+	0.691866i
$435$	0.112752	+	0.0328292i	0.00540603	+	0.00157404i
$436$	−2.91144	+	0.945363i	−0.139433	+	0.0452747i
$437$	26.8335	+	15.4923i	1.28362	+	0.741099i
$438$	15.9446	−	12.3504i	0.761862	−	0.590127i
$439$	30.1731	−	17.4205i	1.44008	−	0.831433i	0.442230	−	0.896902i	$-0.354188\pi$
$439$	30.1731	−	17.4205i	1.44008	−	0.831433i	0.997855	+	0.0654687i	$0.0208542\pi$
$440$	−0.357983	+	1.10067i	−0.0170662	+	0.0524726i
$441$	16.3363	+	13.1957i	0.777918	+	0.628366i
$442$	31.9145	−	43.9177i	1.51802	−	2.08895i
$443$	−4.47068	−	7.74345i	−0.212409	−	0.367902i	0.740059	−	0.672542i	$-0.234797\pi$
$443$	−4.47068	−	7.74345i	−0.212409	−	0.367902i	−0.952468	+	0.304639i	$0.901464\pi$
$444$	−10.1071	−	5.42952i	−0.479660	−	0.257673i
$445$	1.56318	+	0.902502i	0.0741018	+	0.0427827i
$446$	11.4878	+	8.34809i	0.543964	+	0.395293i
$447$	−3.14384	+	0.770244i	−0.148698	+	0.0364313i
$448$	−7.49395	−	19.7950i	−0.354056	−	0.935224i
$449$			36.6294i			1.72865i	0.502934	+	0.864325i	$0.332254\pi$
$449$			36.6294i			1.72865i	−0.502934	+	0.864325i	$0.667746\pi$
$450$	−19.6356	+	7.74544i	−0.925631	+	0.365123i
$451$	−12.1550	−	21.0531i	−0.572357	−	0.991351i
$452$	21.5331	−	6.99193i	1.01283	−	0.328873i
$453$	−15.8054	+	3.87235i	−0.742604	+	0.181939i
$454$	−0.0829697	+	0.788672i	−0.00389396	+	0.0370142i
$455$	−2.22878	−	0.125826i	−0.104487	−	0.00589883i
$456$	−17.0534	+	25.0460i	−0.798597	+	1.17289i
$457$	−4.38090	−	7.58794i	−0.204930	−	0.354949i	0.745181	−	0.666863i	$-0.232363\pi$
$457$	−4.38090	−	7.58794i	−0.204930	−	0.354949i	−0.950110	+	0.311914i	$0.899030\pi$
$458$	−6.06171	−	0.637703i	−0.283245	−	0.0297979i
$459$	−35.2599	−	11.9354i	−1.64579	−	0.557099i
$460$	−1.54308	−	0.328302i	−0.0719463	−	0.0153072i
$461$	8.54280	+	4.93219i	0.397878	+	0.229715i	0.685568	−	0.728009i	$-0.259554\pi$
$461$	8.54280	+	4.93219i	0.397878	+	0.229715i	−0.287690	+	0.957724i	$0.592887\pi$
$462$	−15.2055	−	7.24300i	−0.707424	−	0.336975i
$463$	−9.19718	−	15.9300i	−0.427429	−	0.740329i	0.569215	−	0.822189i	$-0.307247\pi$
$463$	−9.19718	−	15.9300i	−0.427429	−	0.740329i	−0.996644	+	0.0818598i	$0.973914\pi$
$464$	1.39381	−	1.01184i	0.0647061	−	0.0469736i
$465$	−0.314096	+	1.07876i	−0.0145658	+	0.0500263i
$466$	3.78592	+	2.75119i	0.175379	+	0.127446i
$467$	−21.8136	−	12.5941i	−1.00941	−	0.582784i	−0.0983918	−	0.995148i	$-0.531370\pi$
$467$	−21.8136	−	12.5941i	−1.00941	−	0.582784i	−0.911019	+	0.412364i	$0.864703\pi$
$468$	−22.9402	−	22.5262i	−1.06041	−	1.04127i
$469$	12.2744	+	24.3322i	0.566780	+	1.12356i
$470$	−0.199489	+	0.0887954i	−0.00920176	+	0.00409582i
$471$	−1.28727	+	4.42112i	−0.0593143	+	0.203715i
$472$	1.75229	+	1.94725i	0.0806557	+	0.0896294i
$473$	−21.6415	−	12.4947i	−0.995076	−	0.574507i
$474$	−18.5906	−	24.0007i	−0.853892	−	1.10239i
$475$	15.3860	−	26.6493i	0.705957	−	1.22275i
$476$	−9.96614	+	36.5748i	−0.456797	+	1.67640i
$477$	−15.0181	−	9.55551i	−0.687631	−	0.437517i
$478$	23.8938	−	10.6354i	1.09288	−	0.486454i
$479$	−8.36968			−0.382420			−0.191210	−	0.981549i	$-0.561241\pi$
$479$	−8.36968			−0.382420			−0.191210	+	0.981549i	$0.561241\pi$
$480$	0.432006	−	1.48106i	0.0197183	−	0.0676008i
$481$			17.7473i			0.809208i
$482$	−2.88535	+	27.4268i	−0.131424	+	1.24926i
$483$	7.64988	−	21.6448i	0.348082	−	0.984872i
$484$	−8.30608	−	1.76719i	−0.377549	−	0.0803267i
$485$	0.134837	−	0.233545i	0.00612264	−	0.0106047i
$486$	−10.0679	+	19.6122i	−0.456689	+	0.889626i
$487$	2.55929	+	4.43283i	0.115973	+	0.200871i	0.918168	−	0.396191i	$-0.129668\pi$
$487$	2.55929	+	4.43283i	0.115973	+	0.200871i	−0.802195	+	0.597061i	$0.796335\pi$
$488$	7.77426	+	36.6272i	0.351924	+	1.65803i
$489$	12.2978	+	3.58068i	0.556128	+	0.161924i
$490$	1.48636	−	0.469561i	0.0671469	−	0.0212126i
$491$	7.93092	+	13.7368i	0.357917	+	0.619931i	0.987613	−	0.156911i	$-0.0501536\pi$
$491$	7.93092	+	13.7368i	0.357917	+	0.619931i	−0.629695	+	0.776842i	$0.716820\pi$
$492$	17.0538	+	27.5530i	0.768847	+	1.24219i
$493$	−3.08475			−0.138930
$494$	46.6134	+	4.90382i	2.09724	+	0.220633i
$495$	−0.567482	−	1.08860i	−0.0255064	−	0.0489291i
$496$	9.68087	+	13.3354i	0.434684	+	0.598777i
$497$	−2.65556	+	4.05331i	−0.119118	+	0.181816i
$498$	−11.8742	−	4.85523i	−0.532094	−	0.217568i
$499$		−	14.4998i		−	0.649102i	−0.945868	−	0.324551i	$-0.894787\pi$
$499$		−	14.4998i		−	0.649102i	0.945868	−	0.324551i	$-0.105213\pi$
$500$	−0.653722	+	3.07260i	−0.0292353	+	0.137411i
$501$	1.67232	+	1.74593i	0.0747139	+	0.0780026i
$502$	−0.558925	+	5.31288i	−0.0249460	+	0.237125i
$503$	20.3413			0.906973			0.453487	−	0.891263i	$-0.350180\pi$
$503$	20.3413			0.906973			0.453487	+	0.891263i	$0.350180\pi$
$504$	20.5542	+	9.02911i	0.915557	+	0.402189i
$505$	−0.0109303			−0.000486392
$506$	−1.92634	+	18.3109i	−0.0856360	+	0.814017i
$507$	−7.60845	+	26.1312i	−0.337903	+	1.16053i
$508$	21.9934	+	4.67928i	0.975800	+	0.207610i
$509$			19.8165i			0.878351i	0.898401	+	0.439176i	$0.144729\pi$
$509$			19.8165i			0.878351i	−0.898401	+	0.439176i	$0.855271\pi$
$510$	−2.18445	+	1.69204i	−0.0967289	+	0.0749248i
$511$	21.7497	+	1.22788i	0.962150	+	0.0543184i
$512$	−13.2842	−	18.3175i	−0.587082	−	0.809527i
$513$	−6.29693	−	31.5156i	−0.278016	−	1.39145i
$514$	0.400061	+	0.0420872i	0.0176459	+	0.00185639i
$515$	−2.22414			−0.0980074
$516$	29.3434	+	15.7633i	1.29177	+	0.693939i
$517$	1.27420	+	2.20699i	0.0560394	+	0.0970631i
$518$	−4.39319	−	11.5875i	−0.193026	−	0.509127i
$519$	29.4493	−	28.2077i	1.29268	−	1.23818i
$520$	−2.33446	+	0.495498i	−0.102373	+	0.0217290i
$521$	−12.0543	−	20.8787i	−0.528109	−	0.914711i	−0.999463	−	0.0327674i	$-0.989568\pi$
$521$	−12.0543	−	20.8787i	−0.528109	−	0.914711i	0.471354	−	0.881944i	$-0.343765\pi$
$522$	−0.269167	+	1.80690i	−0.0117811	+	0.0790861i
$523$	−4.60480	+	7.97574i	−0.201354	+	0.348755i	−0.948965	−	0.315382i	$-0.897867\pi$
$523$	−4.60480	+	7.97574i	−0.201354	+	0.348755i	0.747611	+	0.664137i	$0.231201\pi$
$524$	−3.45360	+	16.2325i	−0.150871	+	0.709119i
$525$	−21.4962	−	7.59736i	−0.938171	−	0.331576i
$526$	−1.18230	+	11.2384i	−0.0515506	+	0.490016i
$527$		−	29.5136i		−	1.28563i
$528$	−17.7177	−	3.20571i	−0.771062	−	0.139511i
$529$	−2.09609			−0.0911342
$530$	−1.20708	+	0.537289i	−0.0524324	+	0.0233383i
$531$	−2.77593	−	0.119611i	−0.120465	−	0.00519066i
$532$	−31.6486	+	8.33695i	−1.37214	+	0.361453i
$533$	25.0620	−	43.4087i	1.08556	−	1.88024i
$534$	−10.6273	+	25.9905i	−0.459886	+	1.12472i
$535$	−1.85894	−	1.07326i	−0.0803689	−	0.0464010i
$536$	19.4885	+	21.6568i	0.841775	+	0.935431i
$537$	−11.9417	−	12.4674i	−0.515324	−	0.538006i
$538$	−1.97772	+	0.880307i	−0.0852654	+	0.0379527i
$539$	−7.26495	−	16.6783i	−0.312924	−	0.718386i
$540$	0.800510	+	1.42719i	0.0344485	+	0.0614165i
$541$	11.1787	+	6.45404i	0.480611	+	0.277481i	0.720671	−	0.693277i	$-0.243834\pi$
$541$	11.1787	+	6.45404i	0.480611	+	0.277481i	−0.240060	+	0.970758i	$0.577167\pi$
$542$	−24.5055	−	17.8079i	−1.05260	−	0.764913i
$543$	38.8849	−	9.52686i	1.66871	−	0.408837i
$544$	−0.0195576	+	40.5257i	−0.000838526	+	1.73752i
$545$	−0.120499	−	0.208710i	−0.00516159	−	0.00894014i
$546$	−2.74254	−	34.6185i	−0.117370	−	1.48153i
$547$	4.26507	+	2.46244i	0.182361	+	0.105286i	0.588402	−	0.808569i	$-0.299757\pi$
$547$	4.26507	+	2.46244i	0.182361	+	0.105286i	−0.406040	+	0.913855i	$0.633091\pi$
$548$	1.57096	−	7.38379i	0.0671082	−	0.315420i
$549$	−33.5070	−	21.3194i	−1.43004	−	0.909891i
$550$	18.1851	+	1.91311i	0.775417	+	0.0815753i
$551$	−1.33162	−	2.30643i	−0.0567287	−	0.0982571i
$552$	1.81886	−	24.4744i	0.0774158	−	1.04170i
$553$	1.84828	−	32.7388i	0.0785968	−	1.39220i
$554$	0.493450	−	4.69050i	0.0209647	−	0.199280i
$555$	0.252514	−	0.867260i	0.0107186	−	0.0368131i
$556$	−1.09077	−	3.35926i	−0.0462591	−	0.142465i
$557$	−19.3941	−	33.5916i	−0.821755	−	1.42332i	−0.904375	−	0.426740i	$-0.859662\pi$
$557$	−19.3941	−	33.5916i	−0.821755	−	1.42332i	0.0826199	−	0.996581i	$-0.473671\pi$
$558$	−17.2877	−	2.57527i	−0.731846	−	0.109020i
$559$		−	51.5249i		−	2.17927i
$560$	1.40155	−	0.901393i	0.0592264	−	0.0380908i
$561$	22.3063	+	23.2881i	0.941771	+	0.983224i
$562$	3.59495	+	2.61242i	0.151644	+	0.110198i
$563$	−19.4553	−	11.2325i	−0.819945	−	0.473395i	0.0304525	−	0.999536i	$-0.490305\pi$
$563$	−19.4553	−	11.2325i	−0.819945	−	0.473395i	−0.850397	+	0.526141i	$0.823638\pi$
$564$	−1.78775	−	2.88837i	−0.0752777	−	0.121622i
$565$	0.891211	+	1.54362i	0.0374935	+	0.0649407i
$566$	4.57161	−	6.29100i	0.192159	−	0.264430i
$567$	−22.1036	+	8.85614i	−0.928264	+	0.371923i
$568$	−1.60224	+	4.92632i	−0.0672283	+	0.206704i
$569$	1.81901	−	1.05021i	0.0762570	−	0.0440270i	−0.461387	−	0.887199i	$-0.652648\pi$
$569$	1.81901	−	1.05021i	0.0762570	−	0.0440270i	0.537644	+	0.843172i	$0.319315\pi$
$570$	−2.20809	−	0.902866i	−0.0924867	−	0.0378169i
$571$	16.0095	+	9.24310i	0.669977	+	0.386812i	0.796068	−	0.605207i	$-0.206910\pi$
$571$	16.0095	+	9.24310i	0.669977	+	0.386812i	−0.126091	+	0.992019i	$0.540243\pi$
$572$	8.60155	+	26.4902i	0.359649	+	1.10761i
$573$	28.0341	−	26.8521i	1.17114	−	1.12176i
$574$	−5.61800	+	34.5462i	−0.234491	+	1.44193i
$575$			24.9238i			1.03939i
$576$	23.7364	+	3.54761i	0.989015	+	0.147817i
$577$	−23.2576	+	13.4278i	−0.968227	+	0.559006i	−0.898695	−	0.438574i	$-0.855484\pi$
$577$	−23.2576	+	13.4278i	−0.968227	+	0.559006i	−0.0695317	+	0.997580i	$0.522151\pi$
$578$	28.5348	−	39.2668i	1.18689	−	1.63328i
$579$	−2.30682	+	7.92277i	−0.0958683	+	0.329259i
$580$	0.100754	+	0.0907542i	0.00418357	+	0.00376836i
$581$	−6.24076	−	12.3713i	−0.258910	−	0.513250i
$582$	3.88308	+	1.58775i	0.160959	+	0.0658145i
$583$	7.71004	+	13.3542i	0.319317	+	0.553074i
$584$	22.7809	−	4.83534i	0.942681	−	0.200088i
$585$	1.35881	−	2.13559i	0.0561798	−	0.0882959i
$586$	−28.3690	+	12.6274i	−1.17191	+	0.521633i
$587$	−8.34290	−	4.81678i	−0.344348	−	0.198810i	0.317845	−	0.948143i	$-0.397041\pi$
$587$	−8.34290	−	4.81678i	−0.344348	−	0.198810i	−0.662193	+	0.749333i	$0.730374\pi$
$588$	10.3602	+	21.9241i	0.427245	+	0.904136i
$589$	22.0669	−	12.7403i	0.909251	−	0.524956i
$590$	−0.121241	+	0.166840i	−0.00499141	+	0.00686869i
$591$	40.1550	−	9.83804i	1.65176	−	0.404683i
$592$	−7.78285	−	10.7209i	−0.319873	−	0.440625i
$593$	4.12247	−	7.14032i	0.169289	−	0.293218i	−0.768881	−	0.639392i	$-0.779186\pi$
$593$	4.12247	−	7.14032i	0.169289	−	0.293218i	0.938170	+	0.346174i	$0.112519\pi$
$594$	15.5875	−	11.0339i	0.639561	−	0.452727i
$595$	−2.97976	−	0.168223i	−0.122158	−	0.00689647i
$596$	−3.65573	−	0.777787i	−0.149745	−	0.0318594i
$597$	14.5256	−	13.9132i	0.594494	−	0.569430i
$598$	−34.6824	+	15.4376i	−1.41827	+	0.631289i
$599$	−31.7119	−	18.3089i	−1.29571	−	0.748081i	−0.316054	−	0.948741i	$-0.602358\pi$
$599$	−31.7119	−	18.3089i	−1.29571	−	0.748081i	−0.979661	+	0.200660i	$0.935691\pi$
$600$	−24.3064	−	1.80637i	−0.992305	−	0.0737449i
$601$	−3.33392	−	1.92484i	−0.135994	−	0.0785159i	0.430460	−	0.902610i	$-0.358351\pi$
$601$	−3.33392	−	1.92484i	−0.135994	−	0.0785159i	−0.566453	+	0.824094i	$0.691685\pi$
$602$	12.7545	+	33.6415i	0.519836	+	1.37113i
$603$	−30.8731	−	1.33028i	−1.25725	−	0.0541731i
$604$	−18.3790	−	3.91028i	−0.747829	−	0.159107i
$605$		−	0.668571i		−	0.0271813i
$606$	−0.0229613	−	0.168478i	−0.000932740	−	0.00684396i
$607$			1.71306i			0.0695311i	0.999395	+	0.0347655i	$0.0110684\pi$
$607$			1.71306i			0.0695311i	−0.999395	+	0.0347655i	$0.988932\pi$
$608$	−30.3089	+	17.4794i	−1.22919	+	0.708882i
$609$	−1.49966	+	1.28242i	−0.0607692	+	0.0519663i
$610$	−2.69314	+	1.19875i	−0.109042	+	0.0485361i
$611$	−2.62724	+	4.55052i	−0.106287	+	0.184094i
$612$	−30.6697	−	30.1163i	−1.23975	−	1.21738i
$613$	1.76639	−	1.01982i	0.0713437	−	0.0411903i	−0.463904	−	0.885886i	$-0.653552\pi$
$613$	1.76639	−	1.01982i	0.0713437	−	0.0411903i	0.535248	+	0.844695i	$0.320218\pi$
$614$	−3.97707	−	0.418395i	−0.160501	−	0.0168850i
$615$	−1.84234	+	1.76467i	−0.0742904	+	0.0711582i
$616$	−12.1735	−	15.1667i	−0.490486	−	0.611084i
$617$	−37.5578	+	21.6840i	−1.51202	+	0.872964i	−0.512117	+	0.858915i	$0.671139\pi$
$617$	−37.5578	+	21.6840i	−1.51202	+	0.872964i	−0.999901	+	0.0140491i	$0.995528\pi$
$618$	−4.67226	−	34.2826i	−0.187946	−	1.37905i
$619$	2.99483			0.120372			0.0601861	−	0.998187i	$-0.480831\pi$
$619$	2.99483			0.120372			0.0601861	+	0.998187i	$0.480831\pi$
$620$	−0.868298	+	0.963968i	−0.0348717	+	0.0387139i
$621$	17.1800	+	19.5562i	0.689408	+	0.784762i
$622$	−0.866200	+	1.19198i	−0.0347315	+	0.0477940i
$623$	−27.0787	+	13.6599i	−1.08489	+	0.547274i
$624$	−12.5415	−	34.9421i	−0.502063	−	1.39880i
$625$	24.6287			0.985149
$626$	13.6706	−	6.08495i	0.546386	−	0.243203i
$627$	−7.78309	+	26.7310i	−0.310827	+	1.06753i
$628$	−3.55858	+	3.95066i	−0.142003	+	0.157649i
$629$			23.7272i			0.946065i
$630$	−0.358543	+	1.73073i	−0.0142847	+	0.0689538i
$631$	−18.0042			−0.716734			−0.358367	−	0.933581i	$-0.616666\pi$
$631$	−18.0042			−0.716734			−0.358367	+	0.933581i	$0.616666\pi$
$632$	−7.27842	−	34.2911i	−0.289520	−	1.36403i
$633$	−2.50614	+	2.40048i	−0.0996101	+	0.0954105i
$634$	5.74380	+	12.9041i	0.228115	+	0.512489i
$635$			1.77029i			0.0702518i
$636$	−10.8174	−	17.4771i	−0.428939	−	0.693014i
$637$	22.2917	−	30.1668i	0.883228	−	1.19525i
$638$	0.930330	−	1.28023i	0.0368321	−	0.0506848i
$639$	−2.53989	−	4.87229i	−0.100477	−	0.192745i
$640$	1.19291	−	1.32307i	0.0471541	−	0.0522988i
$641$			45.6787i			1.80420i	0.431526	+	0.902100i	$0.357975\pi$
$641$			45.6787i			1.80420i	−0.431526	+	0.902100i	$0.642025\pi$
$642$	12.6380	−	30.9080i	0.498781	−	1.21984i
$643$	−5.18705	−	8.98423i	−0.204557	−	0.354303i	0.745434	−	0.666579i	$-0.232242\pi$
$643$	−5.18705	−	8.98423i	−0.204557	−	0.354303i	−0.949992	+	0.312276i	$0.898909\pi$
$644$	18.8233	−	18.6648i	0.741742	−	0.735495i
$645$	−0.733113	+	2.51787i	−0.0288663	+	0.0991412i
$646$	62.3196	+	6.55613i	2.45193	+	0.257948i
$647$	−12.3357	−	21.3661i	−0.484968	−	0.839989i	0.514883	−	0.857260i	$-0.327835\pi$
$647$	−12.3357	−	21.3661i	−0.484968	−	0.839989i	−0.999851	+	0.0172717i	$0.994502\pi$
$648$	−20.3169	+	15.3370i	−0.798122	+	0.602496i
$649$	2.08450	+	1.20348i	0.0818236	+	0.0472409i
$650$	15.3316	+	34.4443i	0.601354	+	1.35101i
$651$	−12.2697	−	14.3481i	−0.480886	−	0.562346i
$652$	10.9892	+	9.89857i	0.430371	+	0.387658i
$653$	34.2650			1.34089			0.670446	−	0.741958i	$-0.266103\pi$
$653$	34.2650			1.34089			0.670446	+	0.741958i	$0.266103\pi$
$654$	2.96389	−	2.29579i	0.115897	−	0.0897723i
$655$	−1.30658			−0.0510524
$656$	3.89673	+	37.2131i	0.152142	+	1.45293i
$657$	−13.2600	+	20.8403i	−0.517321	+	0.813057i
$658$	0.588933	−	3.62146i	0.0229590	−	0.141179i
$659$	−17.8266	+	30.8766i	−0.694426	+	1.20278i	0.275947	+	0.961173i	$0.411009\pi$
$659$	−17.8266	+	30.8766i	−0.694426	+	1.20278i	−0.970374	+	0.241609i	$0.922325\pi$
$660$	−0.0434212	−	1.41689i	−0.00169017	−	0.0551523i
$661$	10.7470	−	18.6144i	0.418010	−	0.724015i	−0.577729	−	0.816229i	$-0.696061\pi$
$661$	10.7470	−	18.6144i	0.418010	−	0.724015i	0.995739	+	0.0922136i	$0.0293943\pi$
$662$	−0.428884	+	0.190902i	−0.0166691	+	0.00741962i
$663$	−18.5877	+	63.8393i	−0.721885	+	2.47931i
$664$	−9.90866	−	11.0111i	−0.384530	−	0.427313i
$665$	−1.16052	−	2.30054i	−0.0450029	−	0.0892113i
$666$	13.8983	+	2.07037i	0.538547	+	0.0802250i
$667$	1.86809	+	1.07854i	0.0723329	+	0.0417614i
$668$	0.862153	+	2.65518i	0.0333577	+	0.102732i
$669$	−16.6988	−	4.86209i	−0.645614	−	0.187979i
$670$	−1.34841	+	1.85555i	−0.0520936	+	0.0716861i
$671$	17.2020	+	29.7947i	0.664074	+	1.15021i
$672$	16.8382	+	19.7098i	0.649548	+	0.760321i
$673$	−2.29652	+	3.97768i	−0.0885242	+	0.153328i	−0.906888	−	0.421373i	$-0.861548\pi$
$673$	−2.29652	+	3.97768i	−0.0885242	+	0.153328i	0.818363	+	0.574701i	$0.194882\pi$
$674$	−14.2538	−	32.0230i	−0.549038	−	1.23348i
$675$	19.4219	−	17.0620i	0.747549	−	0.656717i
$676$	−21.0331	+	23.3505i	−0.808964	+	0.898097i
$677$	−23.5014	+	13.5686i	−0.903233	+	0.521482i	−0.878248	−	0.478206i	$-0.841287\pi$
$677$	−23.5014	+	13.5686i	−0.903233	+	0.521482i	−0.0249856	+	0.999688i	$0.507954\pi$
$678$	−21.9210	+	16.9797i	−0.841872	+	0.652101i
$679$	2.04085	+	4.04567i	0.0783205	+	0.155258i
$680$	−3.12104	+	0.662453i	−0.119686	+	0.0254039i
$681$	−0.231123	−	0.943352i	−0.00885663	−	0.0361493i
$682$	12.2487	+	8.90100i	0.469026	+	0.340837i
$683$	12.9731	+	22.4701i	0.496403	+	0.859795i	0.999991	−	0.00414832i	$-0.00132046\pi$
$683$	12.9731	+	22.4701i	0.496403	+	0.859795i	−0.503588	+	0.863944i	$0.667987\pi$
$684$	9.27810	−	35.9318i	0.354757	−	1.37389i
$685$	0.594334			0.0227083
$686$	−7.08710	+	25.2145i	−0.270587	+	0.962696i
$687$	7.25058	−	1.77640i	0.276627	−	0.0677740i
$688$	22.5956	+	31.1254i	0.861448	+	1.18664i
$689$	−15.8971	+	27.5346i	−0.605631	+	1.04898i
$690$	1.91448	−	0.260918i	0.0728829	−	0.00993297i
$691$	15.4938	+	26.8360i	0.589411	+	1.02089i	0.994310	+	0.106528i	$0.0339733\pi$
$691$	15.4938	+	26.8360i	0.589411	+	1.02089i	−0.404899	+	0.914361i	$0.632693\pi$
$692$	44.7859	−	14.5423i	1.70250	−	0.552814i
$693$	20.5258	+	2.04819i	0.779709	+	0.0778045i
$694$	4.35741	−	5.99625i	0.165405	−	0.227614i
$695$	0.240813	−	0.139033i	0.00913454	−	0.00527383i
$696$	−1.18722	+	1.74365i	−0.0450014	+	0.0660929i
$697$	33.5066	−	58.0350i	1.26915	−	2.19823i
$698$	26.1143	−	35.9360i	0.988442	−	1.36020i
$699$	−5.50326	−	1.60235i	−0.208152	−	0.0606064i
$700$	−18.5366	−	18.6941i	−0.700619	−	0.706569i
$701$	0.409590			0.0154700			0.00773501	−	0.999970i	$-0.497538\pi$
$701$	0.409590			0.0154700			0.00773501	+	0.999970i	$0.497538\pi$
$702$	35.7722	+	16.4582i	1.35013	+	0.621175i
$703$	−17.7405	+	10.2425i	−0.669095	+	0.386302i
$704$	−16.8130	−	12.2302i	−0.633664	−	0.460945i
$705$	0.193132	−	0.184989i	0.00727377	−	0.00696710i
$706$	−36.3190	−	3.82083i	−1.36689	−	0.143799i
$707$	0.100649	−	0.153625i	0.00378529	−	0.00577766i
$708$	−2.82634	−	1.51831i	−0.106220	−	0.0570615i
$709$	−24.4670	+	14.1260i	−0.918879	+	0.530515i	−0.883277	−	0.468851i	$-0.844668\pi$
$709$	−24.4670	+	14.1260i	−0.918879	+	0.530515i	−0.0356015	+	0.999366i	$0.511335\pi$
$710$	−0.405607	−	0.0426706i	−0.0152221	−	0.00160140i
$711$	31.3699	+	19.9597i	1.17646	+	0.748546i
$712$	−24.1014	+	21.6883i	−0.903237	+	0.812805i
$713$	−10.3190	+	17.8731i	−0.386451	+	0.669353i
$714$	−3.66663	−	46.2830i	−0.137220	−	1.73210i
$715$	−1.89898	+	1.09638i	−0.0710179	+	0.0410022i
$716$	−6.15646	−	18.9601i	−0.230078	−	0.708572i
$717$	−23.1323	+	22.1571i	−0.863893	+	0.827471i
$718$	−25.2115	−	18.3210i	−0.940887	−	0.683733i
$719$	−5.12754	+	8.88115i	−0.191225	+	0.331211i	−0.945656	−	0.325168i	$-0.894579\pi$
$719$	−5.12754	+	8.88115i	−0.191225	+	0.331211i	0.754432	+	0.656379i	$0.227913\pi$
$720$	0.115701	+	1.88596i	0.00431193	+	0.0702857i
$721$	20.4804	−	31.2602i	0.762731	−	1.16419i
$722$	11.0733	+	24.8775i	0.412106	+	0.925846i
$723$	−8.03750	−	32.8060i	−0.298918	−	1.22007i
$724$	45.2164	+	9.62016i	1.68045	+	0.357530i
$725$	1.07114	−	1.85527i	0.0397811	−	0.0689029i
$726$	10.3053	−	1.40447i	0.382464	−	0.0521248i
$727$	32.3131	+	18.6560i	1.19843	+	0.691911i	0.960204	−	0.279300i	$-0.0901023\pi$
$727$	32.3131	+	18.6560i	1.19843	+	0.691911i	0.238221	+	0.971211i	$0.423436\pi$
$728$	14.5321	−	37.3733i	0.538594	−	1.38515i
$729$	3.47832	−	26.7750i	0.128827	−	0.991667i
$730$	0.745585	+	1.67505i	0.0275953	+	0.0619963i
$731$		−	68.8860i		−	2.54784i
$732$	−24.1349	−	38.9935i	−0.892051	−	1.44124i
$733$	−8.81735			−0.325676			−0.162838	−	0.986653i	$-0.552065\pi$
$733$	−8.81735			−0.325676			−0.162838	+	0.986653i	$0.552065\pi$
$734$	−0.793128	+	7.53911i	−0.0292749	+	0.278273i
$735$	−1.51855	+	1.15699i	−0.0560126	+	0.0426763i
$736$	14.1811	−	24.5351i	0.522723	−	0.904375i
$737$	23.1832	+	13.3848i	0.853965	+	0.493037i
$738$	−31.0705	−	24.6905i	−1.14372	−	0.908872i
$739$	−18.0155	+	10.4013i	−0.662712	+	0.382617i	−0.793310	−	0.608818i	$-0.791644\pi$
$739$	−18.0155	+	10.4013i	−0.662712	+	0.382617i	0.130597	+	0.991435i	$0.458310\pi$
$740$	0.698060	−	0.774973i	0.0256612	−	0.0284886i
$741$	−55.7556	+	13.6602i	−2.04823	+	0.501820i
$742$	3.56356	−	21.9130i	0.130822	−	0.804452i
$743$	0.117172	−	0.0676492i	0.00429862	−	0.00248181i	−0.497849	−	0.867264i	$-0.665877\pi$
$743$	0.117172	−	0.0676492i	0.00429862	−	0.00248181i	0.502148	+	0.864782i	$0.332543\pi$
$744$	−16.6825	−	11.3588i	−0.611610	−	0.416434i
$745$		−	0.294256i		−	0.0107807i
$746$	−0.318485	+	3.02737i	−0.0116606	+	0.110840i
$747$	15.6970	+	0.676361i	0.574324	+	0.0247468i
$748$	11.4998	+	35.4160i	0.420474	+	1.29494i
$749$	32.2022	−	16.2445i	1.17664	−	0.593560i
$750$	−0.519544	−	3.81214i	−0.0189711	−	0.139200i
$751$	−35.9122			−1.31046			−0.655228	−	0.755432i	$-0.727427\pi$
$751$	−35.9122			−1.31046			−0.655228	+	0.755432i	$0.727427\pi$
$752$	−0.408493	−	3.90104i	−0.0148962	−	0.142256i
$753$	−1.55695	−	6.35488i	−0.0567386	−	0.231585i
$754$	3.24513	+	0.341393i	0.118181	+	0.0124328i
$755$		−	1.47935i		−	0.0538392i
$756$	−27.4304	−	1.89078i	−0.997633	−	0.0687670i
$757$		−	8.01914i		−	0.291460i	−0.989324	−	0.145730i	$-0.953447\pi$
$757$		−	8.01914i		−	0.291460i	0.989324	−	0.145730i	$-0.0465532\pi$
$758$	0.916448	−	8.71133i	0.0332869	−	0.316410i
$759$	−5.36605	−	21.9021i	−0.194775	−	0.794996i
$760$	−1.84259	−	2.04759i	−0.0668377	−	0.0742740i
$761$	−3.02375			−0.109611			−0.0548055	−	0.998497i	$-0.517454\pi$
$761$	−3.02375			−0.109611			−0.0548055	+	0.998497i	$0.517454\pi$
$762$	−27.2870	+	3.71885i	−0.988503	+	0.134720i
$763$	4.04299	+	0.228248i	0.146366	+	0.00826312i
$764$	42.6336	−	13.8434i	1.54243	−	0.500836i
$765$	1.81665	−	2.85517i	0.0656811	−	0.103229i
$766$	−22.6447	−	2.38226i	−0.818184	−	0.0860745i
$767$			4.96286i			0.179198i
$768$	22.8995	+	15.6080i	0.826316	+	0.563207i
$769$	28.1434	−	16.2486i	1.01488	−	0.585940i	0.102262	−	0.994758i	$-0.467392\pi$
$769$	28.1434	−	16.2486i	1.01488	−	0.585940i	0.912616	+	0.408817i	$0.134059\pi$
$770$	0.968481	−	1.18592i	0.0349016	−	0.0427376i
$771$	−0.478524	+	0.117239i	−0.0172336	+	0.00422226i
$772$	−6.37706	+	7.07970i	−0.229516	+	0.254804i
$773$	−28.2078	+	16.2858i	−1.01457	+	0.585760i	−0.912525	−	0.409020i	$-0.865870\pi$
$773$	−28.2078	+	16.2858i	−1.01457	+	0.585760i	−0.102040	+	0.994780i	$0.532537\pi$
$774$	−40.3502	−	6.01079i	−1.45036	−	0.216054i
$775$	17.7504	+	10.2482i	0.637614	+	0.368126i
$776$	3.24032	+	3.60084i	0.116321	+	0.129262i
$777$	9.86408	+	11.5350i	0.353872	+	0.413816i
$778$	16.3991	+	1.72521i	0.587935	+	0.0618518i
$779$	57.8560			2.07291
$780$	2.48527	−	1.53825i	0.0889871	−	0.0550783i
$781$			4.75984i			0.170321i
$782$	−46.3684	+	20.6392i	−1.65813	+	0.738056i
$783$	−0.438379	−	2.19405i	−0.0156664	−	0.0784089i
$784$	−0.236794	+	27.9990i	−0.00845694	+	0.999964i
$785$	−0.362527	−	0.209305i	−0.0129392	−	0.00747042i
$786$	−2.74474	−	20.1395i	−0.0979016	−	0.718351i
$787$	−11.7225	+	20.3039i	−0.417861	+	0.723756i	−0.995724	−	0.0923778i	$-0.970553\pi$
$787$	−11.7225	+	20.3039i	−0.417861	+	0.723756i	0.577864	+	0.816133i	$0.303887\pi$
$788$	46.6933	+	9.93438i	1.66338	+	0.353898i
$789$	−3.29343	−	13.4425i	−0.117249	−	0.478566i
$790$	2.52137	−	1.12230i	0.0897064	−	0.0399295i
$791$	−29.9020	−	1.68813i	−1.06319	−	0.0600229i
$792$	21.7485	−	3.64575i	0.772799	−	0.129546i
$793$	−35.4682	+	61.4327i	−1.25951	+	2.18154i
$794$	3.42573	−	4.71416i	0.121575	−	0.167299i
$795$	1.16862	−	1.11935i	0.0414465	−	0.0396991i
$796$	22.0902	−	7.17284i	0.782968	−	0.254235i
$797$	−19.4879	+	11.2514i	−0.690298	+	0.398544i	−0.803724	−	0.595003i	$-0.797151\pi$
$797$	−19.4879	+	11.2514i	−0.690298	+	0.398544i	0.113426	+	0.993546i	$0.463818\pi$
$798$	33.0224	−	22.7208i	1.16898	−	0.804307i
$799$	−3.51248	+	6.08379i	−0.124263	+	0.215229i
$800$	−24.3666	−	14.0838i	−0.861491	−	0.497936i
$801$	1.48044	−	34.3581i	0.0523087	−	1.21398i
$802$	−3.96039	+	37.6456i	−0.139846	+	1.32931i
$803$	18.5313	−	10.6991i	0.653956	−	0.377562i
$804$	−31.4338	−	16.8862i	−1.10858	−	0.595531i
$805$	1.74569	+	1.14371i	0.0615276	+	0.0403105i
$806$	−3.26630	+	31.0480i	−0.115051	+	1.09362i
$807$	1.91469	−	1.83396i	0.0674002	−	0.0645586i
$808$	0.0607265	−	0.186713i	0.00213635	−	0.00656854i
$809$	−39.9001	+	23.0363i	−1.40281	+	0.809914i	−0.994680	−	0.103009i	$-0.967153\pi$
$809$	−39.9001	+	23.0363i	−1.40281	+	0.809914i	−0.408132	+	0.912923i	$0.633820\pi$
$810$	−1.51391	−	1.31324i	−0.0531933	−	0.0461427i
$811$	−23.5868			−0.828246			−0.414123	−	0.910221i	$-0.635912\pi$
$811$	−23.5868			−0.828246			−0.414123	+	0.910221i	$0.635912\pi$
$812$	−2.20331	+	0.580401i	−0.0773210	+	0.0203681i
$813$	35.6214	+	10.3717i	1.24930	+	0.363750i
$814$	−9.84722	−	7.15588i	−0.345145	−	0.250813i
$815$	−0.582206	+	1.00841i	−0.0203938	+	0.0353231i
$816$	−16.7673	−	46.7157i	−0.586974	−	1.63538i
$817$	51.5051	−	29.7365i	1.80194	−	1.04035i
$818$	5.27761	+	3.83519i	0.184527	+	0.134094i
$819$	17.5034	+	38.7630i	0.611619	+	1.35449i
$820$	−2.80179	+	0.909759i	−0.0978428	+	0.0317702i
$821$	0.584013	+	1.01154i	0.0203822	+	0.0353030i	0.876037	−	0.482245i	$-0.160178\pi$
$821$	0.584013	+	1.01154i	0.0203822	+	0.0353030i	−0.855654	+	0.517548i	$0.826845\pi$
$822$	1.24852	+	9.16099i	0.0435472	+	0.319526i
$823$	1.38976	−	2.40714i	0.0484441	−	0.0839077i	−0.840787	−	0.541367i	$-0.817907\pi$
$823$	1.38976	−	2.40714i	0.0484441	−	0.0839077i	0.889231	+	0.457459i	$0.151240\pi$
$824$	12.3569	−	37.9931i	0.430472	−	1.32355i
$825$	−21.7517	+	5.32921i	−0.757299	+	0.185539i
$826$	−1.22851	−	3.24034i	−0.0427454	−	0.112746i
$827$	44.8157			1.55840			0.779198	−	0.626778i	$-0.215627\pi$
$827$	44.8157			1.55840			0.779198	+	0.626778i	$0.215627\pi$
$828$	8.04350	+	28.9614i	0.279531	+	1.00648i
$829$	8.72385	+	15.1102i	0.302992	+	0.524797i	0.976812	−	0.214098i	$-0.0686812\pi$
$829$	8.72385	+	15.1102i	0.302992	+	0.524797i	−0.673820	+	0.738895i	$0.735348\pi$
$830$	0.685580	−	0.943428i	0.0237968	−	0.0327469i
$831$	1.37457	+	5.61044i	0.0476831	+	0.194624i
$832$	4.50560	−	42.6304i	0.156204	−	1.47794i
$833$	29.8027	−	40.3314i	1.03260	−	1.39740i
$834$	2.64891	+	3.41978i	0.0917244	+	0.118417i
$835$	−0.190339	+	0.109892i	−0.00658696	+	0.00380298i
$836$	−21.5159	+	23.8865i	−0.744142	+	0.826132i
$837$	20.9917	−	4.19422i	0.725580	−	0.144973i
$838$	−13.5026	+	6.01020i	−0.466441	+	0.207619i
$839$	0.328692	−	0.569311i	0.0113477	−	0.0196548i	−0.860296	−	0.509795i	$-0.829721\pi$
$839$	0.328692	−	0.569311i	0.0113477	−	0.0196548i	0.871643	+	0.490140i	$0.163055\pi$
$840$	−1.24190	+	1.61956i	−0.0428496	+	0.0558801i
$841$	14.4073	+	24.9542i	0.496803	+	0.860489i
$842$	14.6265	+	10.6289i	0.504061	+	0.366296i
$843$	−5.22567	−	1.52152i	−0.179982	−	0.0524041i
$844$	−3.81128	+	1.23755i	−0.131190	+	0.0425981i
$845$	−2.14273	−	1.23710i	−0.0737121	−	0.0425577i
$846$	3.25711	+	2.58830i	0.111982	+	0.0889876i
$847$	9.39673	+	6.15636i	0.322876	+	0.211535i
$848$	−2.47174	−	23.6047i	−0.0848798	−	0.810588i
$849$	−2.66259	+	9.14467i	−0.0913800	+	0.313844i
$850$	20.4975	+	46.0501i	0.703058	+	1.57950i
$851$	8.29590	−	14.3689i	0.284380	−	0.492561i
$852$	−0.194341	−	6.34160i	−0.00665803	−	0.217260i
$853$	6.26442	−	10.8503i	0.214490	−	0.371507i	−0.738625	−	0.674117i	$-0.764525\pi$
$853$	6.26442	−	10.8503i	0.214490	−	0.371507i	0.953115	+	0.302610i	$0.0978579\pi$
$854$	7.95069	−	48.8904i	0.272067	−	1.67299i
$855$	2.91898	+	0.125774i	0.0998269	+	0.00430139i
$856$	28.6614	−	25.7919i	0.979628	−	0.881548i
$857$	20.6916			0.706811			0.353406	−	0.935470i	$-0.385024\pi$
$857$	20.6916			0.706811			0.353406	+	0.935470i	$0.385024\pi$
$858$	−20.8886	−	26.9675i	−0.713126	−	0.920655i
$859$	−26.3017			−0.897401			−0.448700	−	0.893682i	$-0.648113\pi$
$859$	−26.3017			−0.897401			−0.448700	+	0.893682i	$0.648113\pi$
$860$	−2.02664	+	2.24994i	−0.0691080	+	0.0767224i
$861$	−7.83758	−	42.1435i	−0.267104	−	1.43625i
$862$	33.7896	−	15.0402i	1.15088	−	0.512272i
$863$	8.97944	+	5.18428i	0.305664	+	0.176475i	0.644984	−	0.764196i	$-0.276864\pi$
$863$	8.97944	+	5.18428i	0.305664	+	0.176475i	−0.339321	+	0.940671i	$0.610197\pi$
$864$	−28.8269	+	5.74525i	−0.980712	+	0.195458i
$865$	1.85360	+	3.21053i	0.0630242	+	0.109161i
$866$	0.836686	−	7.95315i	0.0284318	−	0.270259i
$867$	−16.6192	+	57.0787i	−0.564419	+	1.93849i
$868$	−5.55303	−	21.0803i	−0.188482	−	0.715513i
$869$	−16.1048	−	27.8944i	−0.546318	−	0.946251i
$870$	−0.153723	−	0.0628556i	−0.00521168	−	0.00213100i
$871$			55.1956i			1.87023i
$872$	4.23468	−	0.898827i	0.143404	−	0.0304381i
$873$	−5.13322	−	0.221183i	−0.173733	−	0.00748591i
$874$	−35.4478	−	25.7596i	−1.19904	−	0.871330i
$875$	2.27737	−	3.47606i	0.0769893	−	0.117512i
$876$	−24.2527	+	15.0111i	−0.819422	+	0.507179i
$877$			22.0416i			0.744292i	0.928174	+	0.372146i	$0.121378\pi$
$877$			22.0416i			0.744292i	−0.928174	+	0.372146i	$0.878622\pi$
$878$	−45.0146	+	20.0366i	−1.51917	+	0.676202i
$879$	27.4649	−	26.3069i	0.926367	−	0.887311i
$880$	0.666344	−	1.49508i	0.0224624	−	0.0503991i
$881$	−45.2702			−1.52519			−0.762596	−	0.646876i	$-0.776075\pi$
$881$	−45.2702			−1.52519			−0.762596	+	0.646876i	$0.776075\pi$
$882$	−21.0237	−	20.9762i	−0.707906	−	0.706307i
$883$		−	36.2764i		−	1.22080i	−0.792094	−	0.610399i	$-0.791009\pi$
$883$		−	36.2764i		−	1.22080i	0.792094	−	0.610399i	$-0.208991\pi$
$884$	−51.3844	+	57.0460i	−1.72824	+	1.91866i
$885$	0.0706131	−	0.242520i	0.00237363	−	0.00815224i
$886$	5.14207	+	11.5523i	0.172751	+	0.388106i
$887$	−45.9305			−1.54220			−0.771098	−	0.636717i	$-0.780292\pi$
$887$	−45.9305			−1.54220			−0.771098	+	0.636717i	$0.780292\pi$
$888$	13.4117	+	9.13181i	0.450069	+	0.306443i
$889$	−24.8813	−	16.3012i	−0.834493	−	0.546726i
$890$	−2.06500	−	1.50062i	−0.0692190	−	0.0503007i
$891$	−13.3938	+	19.1750i	−0.448710	+	0.642386i
$892$	−14.9219	−	13.4409i	−0.499622	−	0.450036i
$893$	−6.06502			−0.202958
$894$	4.53562	−	0.618145i	0.151694	−	0.0206739i
$895$	1.35917	−	0.784720i	0.0454322	−	0.0262303i
$896$	7.61100	+	28.9495i	0.254266	+	0.967134i
$897$	33.5771	−	32.1614i	1.12111	−	1.07384i
$898$	5.41974	−	51.5175i	0.180859	−	1.71916i
$899$	1.53625	−	0.886955i	0.0512368	−	0.0295816i
$900$	28.7625	−	7.98828i	0.958751	−	0.266276i
$901$	−21.2535	+	36.8122i	−0.708058	+	1.22639i
$902$	13.9804	+	31.4086i	0.465496	+	1.04579i
$903$	−28.6379	−	33.4891i	−0.953010	−	1.11445i
$904$	−31.3198	+	6.64775i	−1.04168	+	0.221101i
$905$			3.63954i			0.120983i
$906$	22.8026	−	3.10768i	0.757564	−	0.103246i
$907$		−	40.0628i		−	1.33026i	−0.746727	−	0.665131i	$-0.768376\pi$
$907$		−	40.0628i		−	1.33026i	0.746727	−	0.665131i	$-0.231624\pi$
$908$	0.233386	−	1.09695i	0.00774518	−	0.0364037i
$909$	0.0962648	+	0.184665i	0.00319290	+	0.00612496i
$910$	3.11606	+	0.506743i	0.103296	+	0.0167984i
$911$	−7.44683	−	4.29943i	−0.246724	−	0.142446i	0.371539	−	0.928417i	$-0.378830\pi$
$911$	−7.44683	−	4.29943i	−0.246724	−	0.142446i	−0.618263	+	0.785971i	$0.712164\pi$
$912$	27.6906	−	32.7028i	0.916927	−	1.08290i
$913$	−11.7872	−	6.80533i	−0.390099	−	0.225224i
$914$	5.03880	+	11.3203i	0.166669	+	0.374441i
$915$	2.60731	−	2.49739i	0.0861951	−	0.0825611i
$916$	8.43116	+	1.79380i	0.278573	+	0.0592688i
$917$	12.0313	−	18.3639i	0.397309	−	0.606431i
$918$	47.8254	+	22.0037i	1.57847	+	0.726231i
$919$	15.5759	−	26.9782i	0.513801	−	0.889929i	−0.486071	−	0.873919i	$-0.661570\pi$
$919$	15.5759	−	26.9782i	0.513801	−	0.889929i	0.999872	−	0.0160100i	$-0.00509636\pi$
$920$	2.12169	+	0.690057i	0.0699500	+	0.0227505i
$921$	4.75708	−	1.16549i	0.156751	−	0.0384042i
$922$	−11.2853	−	8.20089i	−0.371660	−	0.270082i
$923$	−8.49933	+	4.90709i	−0.279759	+	0.161519i
$924$	20.3141	+	12.4368i	0.668285	+	0.409139i
$925$	−14.2703	−	8.23895i	−0.469204	−	0.270895i
$926$	10.5784	+	23.7656i	0.347627	+	0.780986i
$927$	19.5883	+	37.5764i	0.643366	+	1.23417i
$928$	−2.11004	+	1.21688i	−0.0692656	+	0.0399459i
$929$	−16.7468	−	29.0063i	−0.549444	−	0.951665i	−0.998313	−	0.0580675i	$-0.981506\pi$
$929$	−16.7468	−	29.0063i	−0.549444	−	0.951665i	0.448868	−	0.893598i	$-0.351827\pi$
$930$	0.601376	−	1.47075i	0.0197199	−	0.0482278i
$931$	43.0203	+	4.87298i	1.40993	+	0.159705i
$932$	−4.91765	−	4.42959i	−0.161083	−	0.145096i
$933$	0.504492	−	1.73268i	0.0165163	−	0.0567253i
$934$	28.8163	+	20.9405i	0.942898	+	0.685194i
$935$	−2.53884	+	1.46580i	−0.0830288	+	0.0479367i
$936$	28.9312	+	35.0763i	0.945647	+	1.14650i
$937$		−	16.0974i		−	0.525879i	−0.964812	−	0.262940i	$-0.915308\pi$
$937$		−	16.0974i		−	0.525879i	0.964812	−	0.262940i	$-0.0846920\pi$
$938$	−13.6632	−	36.0382i	−0.446119	−	1.17669i
$939$	−13.2349	+	12.6769i	−0.431904	+	0.413695i
$940$	0.293711	−	0.0953697i	0.00957979	−	0.00311062i
$941$	−36.3566	−	20.9905i	−1.18519	−	0.684270i	−0.227981	−	0.973666i	$-0.573212\pi$
$941$	−36.3566	−	20.9905i	−1.18519	−	0.684270i	−0.957210	+	0.289395i	$0.906546\pi$
$942$	2.46464	−	6.02763i	0.0803023	−	0.196391i
$943$	−40.5824	+	23.4303i	−1.32155	+	0.762995i
$944$	−2.17639	−	2.99798i	−0.0708356	−	0.0975761i
$945$	−0.303808	−	2.14328i	−0.00988289	−	0.0697209i
$946$	28.5890	+	20.7753i	0.929507	+	0.675464i
$947$	27.4713	+	47.5817i	0.892697	+	1.54620i	0.836629	+	0.547770i	$0.184523\pi$
$947$	27.4713	+	47.5817i	0.892697	+	1.54620i	0.0560683	+	0.998427i	$0.482144\pi$
$948$	22.5956	+	36.5065i	0.733869	+	1.18567i
$949$	38.2092	+	22.0601i	1.24032	+	0.716100i
$950$	−25.5827	+	35.2044i	−0.830013	+	1.14218i
$951$	−11.9662	−	12.4929i	−0.388030	−	0.405110i
$952$	19.4286	−	49.9661i	0.629683	−	1.61941i
$953$		−	31.5295i		−	1.02134i	−0.859776	−	0.510671i	$-0.829397\pi$
$953$		−	31.5295i		−	1.02134i	0.859776	−	0.510671i	$-0.170603\pi$
$954$	19.7084	+	15.6615i	0.638082	+	0.507059i
$955$	1.76452	+	3.05624i	0.0570985	+	0.0988975i
$956$	−35.1791	+	11.4229i	−1.13777	+	0.369443i
$957$	−0.541842	+	1.86096i	−0.0175153	+	0.0601562i
$958$	11.7715	+	1.23839i	0.380321	+	0.0400105i
$959$	−5.47277	+	8.35334i	−0.176725	+	0.269743i
$960$	−0.826735	+	2.01912i	−0.0266828	+	0.0651668i
$961$	−7.01399	−	12.1486i	−0.226258	−	0.391890i
$962$	2.62592	−	24.9607i	0.0846629	−	0.804767i
$963$	−1.76054	+	40.8587i	−0.0567327	+	1.31665i
$964$	8.11621	−	38.1476i	0.261406	−	1.22865i
$965$	−0.649659	−	0.375081i	−0.0209133	−	0.0120743i
$966$	−13.9618	+	29.3105i	−0.449213	+	0.943049i
$967$	−23.0618	−	39.9443i	−0.741618	−	1.28452i	−0.951758	−	0.306849i	$-0.900725\pi$
$967$	−23.0618	−	39.9443i	−0.741618	−	1.28452i	0.210140	−	0.977671i	$-0.432608\pi$
$968$	11.4206	+	3.71444i	0.367073	+	0.119387i
$969$	−74.5422	+	18.2629i	−2.39464	+	0.586690i
$970$	−0.224198	+	0.308519i	−0.00719855	+	0.00990595i
$971$	3.33756	+	1.92694i	0.107107	+	0.0618384i	0.552597	−	0.833449i	$-0.313637\pi$
$971$	3.33756	+	1.92694i	0.107107	+	0.0618384i	−0.445489	+	0.895287i	$0.646970\pi$
$972$	17.0619	−	26.0939i	0.547260	−	0.836963i
$973$	−0.263356	+	4.66486i	−0.00844280	+	0.149549i
$974$	−2.94364	−	6.61324i	−0.0943202	−	0.211902i
$975$	−31.9406	−	33.3465i	−1.02292	−	1.06794i
$976$	−5.51472	−	52.6647i	−0.176522	−	1.68575i
$977$	36.9075	+	21.3085i	1.18077	+	0.681720i	0.956194	−	0.292735i	$-0.0945655\pi$
$977$	36.9075	+	21.3085i	1.18077	+	0.681720i	0.224581	+	0.974456i	$0.427899\pi$
$978$	−16.7665	−	6.85567i	−0.536134	−	0.219220i
$979$	−14.8957	+	25.8001i	−0.476068	+	0.824575i
$980$	−2.15997	+	0.440492i	−0.0689977	+	0.0140710i
$981$	−2.46486	+	3.87394i	−0.0786969	+	0.123685i
$982$	−9.12195	−	20.4936i	−0.291093	−	0.653976i
$983$	44.1348			1.40768			0.703840	−	0.710358i	$-0.251467\pi$
$983$	44.1348			1.40768			0.703840	+	0.710358i	$0.251467\pi$
$984$	−19.9086	−	41.2753i	−0.634664	−	1.31581i
$985$			3.75842i			0.119753i
$986$	4.33856	+	0.456424i	0.138168	+	0.0145355i
$987$	0.821611	+	4.41789i	0.0261522	+	0.140623i
$988$	−64.8340	−	13.7940i	−2.06264	−	0.438844i
$989$	−24.0851	+	41.7166i	−0.765862	+	1.32651i
$990$	0.637064	+	1.61503i	0.0202472	+	0.0513291i
$991$	−18.6053	−	32.2254i	−0.591018	−	1.02367i	−0.994096	−	0.108507i	$-0.965393\pi$
$991$	−18.6053	−	32.2254i	−0.591018	−	1.02367i	0.403078	−	0.915166i	$-0.367940\pi$
$992$	−11.6426	−	20.1880i	−0.369652	−	0.640970i
$993$	0.415216	−	0.397711i	0.0131765	−	0.0126210i
$994$	4.33466	−	5.30786i	0.137487	−	0.168355i
$995$	0.914271	+	1.58356i	0.0289843	+	0.0502023i
$996$	15.9821	+	8.58556i	0.506411	+	0.272044i
$997$	58.5659			1.85480			0.927400	−	0.374070i	$-0.122038\pi$
$997$	58.5659			1.85480			0.927400	+	0.374070i	$0.122038\pi$
$998$	−2.14542	+	20.3933i	−0.0679119	+	0.645539i
$999$	−16.8761	+	3.37191i	−0.533937	+	0.106682i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.y.a.173.5	✓	184
7.3	odd	6		504.2.ca.a.101.66	yes	184
8.5	even	2	inner	504.2.y.a.173.35	yes	184
9.5	odd	6		504.2.ca.a.5.27	yes	184
56.45	odd	6		504.2.ca.a.101.27	yes	184
63.59	even	6	inner	504.2.y.a.437.35	yes	184
72.5	odd	6		504.2.ca.a.5.66	yes	184
504.437	even	6	inner	504.2.y.a.437.5	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.y.a.173.5	✓	184	1.1	even	1	trivial
504.2.y.a.173.35	yes	184	8.5	even	2	inner
504.2.y.a.437.5	yes	184	504.437	even	6	inner
504.2.y.a.437.35	yes	184	63.59	even	6	inner
504.2.ca.a.5.27	yes	184	9.5	odd	6
504.2.ca.a.5.66	yes	184	72.5	odd	6
504.2.ca.a.101.27	yes	184	56.45	odd	6
504.2.ca.a.101.66	yes	184	7.3	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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.y (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40645 - 0.147961i) q^{2} +(1.68230 - 0.412165i) q^{3} +(1.95621 + 0.416201i) q^{4} +0.157459i q^{5} +(-2.42705 + 0.330775i) q^{6} +(-2.21308 - 1.44992i) q^{7} +(-2.68974 - 0.874811i) q^{8} +(2.66024 - 1.38677i) q^{9} +O(q^{10})\)	\(q+(-1.40645 - 0.147961i) q^{2} +(1.68230 - 0.412165i) q^{3} +(1.95621 + 0.416201i) q^{4} +0.157459i q^{5} +(-2.42705 + 0.330775i) q^{6} +(-2.21308 - 1.44992i) q^{7} +(-2.68974 - 0.874811i) q^{8} +(2.66024 - 1.38677i) q^{9} +(0.0232979 - 0.221459i) q^{10} -2.59885 q^{11} +(3.46248 - 0.106109i) q^{12} +(-2.67924 - 4.64058i) q^{13} +(2.89806 + 2.36670i) q^{14} +(0.0648991 + 0.264893i) q^{15} +(3.65355 + 1.62836i) q^{16} +(-3.58200 - 6.20420i) q^{17} +(-3.94669 + 1.55681i) q^{18} +(3.09253 - 5.35642i) q^{19} +(-0.0655347 + 0.308024i) q^{20} +(-4.32066 - 1.52704i) q^{21} +(3.65515 + 0.384529i) q^{22} +5.00960i q^{23} +(-4.88551 - 0.363075i) q^{24} +4.97521 q^{25} +(3.08160 + 6.92318i) q^{26} +(3.90374 - 3.42941i) q^{27} +(-3.72580 - 3.75745i) q^{28} +(0.215295 - 0.372903i) q^{29} +(-0.0520836 - 0.382162i) q^{30} +(3.56777 + 2.05986i) q^{31} +(-4.89761 - 2.83079i) q^{32} +(-4.37203 + 1.07115i) q^{33} +(4.11993 + 9.25591i) q^{34} +(0.228304 - 0.348470i) q^{35} +(5.78118 - 1.60562i) q^{36} +(-2.86828 - 1.65600i) q^{37} +(-5.14204 + 7.07597i) q^{38} +(-6.41996 - 6.70255i) q^{39} +(0.137747 - 0.423524i) q^{40} +(4.67707 + 8.10093i) q^{41} +(5.85086 + 2.78701i) q^{42} +(8.32734 + 4.80779i) q^{43} +(-5.08390 - 1.08164i) q^{44} +(0.218359 + 0.418879i) q^{45} +(0.741227 - 7.04576i) q^{46} +(-0.490296 - 0.849217i) q^{47} +(6.81751 + 1.23351i) q^{48} +(2.79545 + 6.41759i) q^{49} +(-6.99739 - 0.736138i) q^{50} +(-8.58314 - 8.96094i) q^{51} +(-3.30976 - 10.1931i) q^{52} +(-2.96672 - 5.13850i) q^{53} +(-5.99784 + 4.24570i) q^{54} -0.409212i q^{55} +(4.68421 + 5.83594i) q^{56} +(2.99483 - 10.2857i) q^{57} +(-0.357978 + 0.492614i) q^{58} +(-0.802085 - 0.463084i) q^{59} +(0.0167079 + 0.545199i) q^{60} +(-6.61908 - 11.4646i) q^{61} +(-4.71312 - 3.42498i) q^{62} +(-7.89803 - 0.788117i) q^{63} +(6.46941 + 4.70603i) q^{64} +(0.730702 - 0.421871i) q^{65} +(6.30754 - 0.859634i) q^{66} +(-8.92058 - 5.15030i) q^{67} +(-4.42496 - 13.6276i) q^{68} +(2.06478 + 8.42763i) q^{69} +(-0.372658 + 0.456326i) q^{70} -1.83152i q^{71} +(-8.36852 + 1.40283i) q^{72} +(-7.13059 + 4.11685i) q^{73} +(3.78907 + 2.75348i) q^{74} +(8.36977 - 2.05060i) q^{75} +(8.27900 - 9.19120i) q^{76} +(5.75146 + 3.76812i) q^{77} +(8.03765 + 10.3767i) q^{78} +(6.19691 + 10.7334i) q^{79} +(-0.256400 + 0.575285i) q^{80} +(5.15376 - 7.37826i) q^{81} +(-5.37946 - 12.0856i) q^{82} +(4.53554 + 2.61860i) q^{83} +(-7.81659 - 4.78549i) q^{84} +(0.976909 - 0.564019i) q^{85} +(-11.0006 - 7.99405i) q^{86} +(0.208493 - 0.716070i) q^{87} +(6.99022 + 2.27350i) q^{88} +(5.73166 - 9.92752i) q^{89} +(-0.245134 - 0.621442i) q^{90} +(-0.799105 + 14.1547i) q^{91} +(-2.08500 + 9.79985i) q^{92} +(6.85105 + 1.99478i) q^{93} +(0.563926 + 1.26693i) q^{94} +(0.843418 + 0.486947i) q^{95} +(-9.40599 - 2.74361i) q^{96} +(-1.48321 - 0.856331i) q^{97} +(-2.98211 - 9.43965i) q^{98} +(-6.91356 + 3.60399i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 3 q^{2} + q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{9}+O(q^{10}) \) 184 * q - 3 * q^2 + q^4 + 6 * q^6 - 2 * q^7 - 2 * q^9	\( 184 q - 3 q^{2} + q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{9} - 6 q^{10} - 3 q^{12} - 3 q^{14} - 2 q^{15} + q^{16} - 15 q^{18} - 6 q^{22} - 12 q^{24} - 156 q^{25} + 6 q^{26} - 8 q^{28} - 14 q^{30} - 6 q^{31} - 33 q^{32} - 6 q^{33} - 6 q^{34} + 22 q^{36} - 66 q^{38} + 10 q^{39} - 15 q^{42} + 9 q^{44} + 2 q^{46} - 6 q^{47} - 9 q^{48} - 2 q^{49} + 9 q^{50} + 24 q^{54} + 60 q^{56} + 4 q^{57} + 6 q^{58} + 34 q^{60} - 12 q^{62} - 30 q^{63} - 8 q^{64} - 6 q^{65} - 21 q^{66} - 36 q^{68} + 30 q^{70} + 9 q^{72} - 12 q^{73} - 12 q^{76} + 19 q^{78} + 2 q^{79} + 57 q^{80} + 6 q^{81} + 9 q^{84} + 12 q^{87} - 18 q^{88} + 24 q^{89} + 75 q^{90} - 36 q^{92} - 3 q^{94} + 54 q^{95} - 54 q^{96} + 45 q^{98}+O(q^{100}) \) 184 * q - 3 * q^2 + q^4 + 6 * q^6 - 2 * q^7 - 2 * q^9 - 6 * q^10 - 3 * q^12 - 3 * q^14 - 2 * q^15 + q^16 - 15 * q^18 - 6 * q^22 - 12 * q^24 - 156 * q^25 + 6 * q^26 - 8 * q^28 - 14 * q^30 - 6 * q^31 - 33 * q^32 - 6 * q^33 - 6 * q^34 + 22 * q^36 - 66 * q^38 + 10 * q^39 - 15 * q^42 + 9 * q^44 + 2 * q^46 - 6 * q^47 - 9 * q^48 - 2 * q^49 + 9 * q^50 + 24 * q^54 + 60 * q^56 + 4 * q^57 + 6 * q^58 + 34 * q^60 - 12 * q^62 - 30 * q^63 - 8 * q^64 - 6 * q^65 - 21 * q^66 - 36 * q^68 + 30 * q^70 + 9 * q^72 - 12 * q^73 - 12 * q^76 + 19 * q^78 + 2 * q^79 + 57 * q^80 + 6 * q^81 + 9 * q^84 + 12 * q^87 - 18 * q^88 + 24 * q^89 + 75 * q^90 - 36 * q^92 - 3 * q^94 + 54 * q^95 - 54 * q^96 + 45 * q^98

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