LMFDB - Embedded newform 588.2.x.a.139.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			139.5
Character	$\chi$	$=$	588.139
Dual form			588.2.x.a.55.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.20909 - 0.733551i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(0.923805 + 1.77386i) q^{4} +(-0.0202251 - 0.0419978i) q^{5} +(1.40763 + 0.136302i) q^{6} +(2.50508 + 0.851222i) q^{7} +(0.184253 - 2.82242i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})$	\(q+(-1.20909 - 0.733551i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(0.923805 + 1.77386i) q^{4} +(-0.0202251 - 0.0419978i) q^{5} +(1.40763 + 0.136302i) q^{6} +(2.50508 + 0.851222i) q^{7} +(0.184253 - 2.82242i) q^{8} +(0.623490 - 0.781831i) q^{9} +(-0.00635357 + 0.0656153i) q^{10} +(4.22358 - 3.36820i) q^{11} +(-1.60197 - 1.19737i) q^{12} +(-4.09819 + 3.26819i) q^{13} +(-2.40446 - 2.86681i) q^{14} +(0.0364443 + 0.0290634i) q^{15} +(-2.29317 + 3.27740i) q^{16} +(-1.81779 + 0.414899i) q^{17} +(-1.32737 + 0.487944i) q^{18} -3.64310 q^{19} +(0.0558143 - 0.0746743i) q^{20} +(-2.62633 + 0.319989i) q^{21} +(-7.57745 + 0.974242i) q^{22} +(7.77277 + 1.77408i) q^{23} +(1.05860 + 2.62286i) q^{24} +(3.11609 - 3.90746i) q^{25} +(7.35247 - 0.945317i) q^{26} +(-0.222521 + 0.974928i) q^{27} +(0.804255 + 5.23003i) q^{28} +(0.460848 + 2.01911i) q^{29} +(-0.0227451 - 0.0618741i) q^{30} +6.23384 q^{31} +(5.17679 - 2.28053i) q^{32} +(-2.34391 + 4.86719i) q^{33} +(2.50222 + 0.831791i) q^{34} +(-0.0149160 - 0.122424i) q^{35} +(1.96284 + 0.383725i) q^{36} +(1.79149 + 7.84902i) q^{37} +(4.40485 + 2.67240i) q^{38} +(2.27432 - 4.72268i) q^{39} +(-0.122262 + 0.0493454i) q^{40} +(-1.75191 - 3.63789i) q^{41} +(3.41020 + 1.53965i) q^{42} +(2.31404 - 4.80515i) q^{43} +(9.87648 + 4.38050i) q^{44} +(-0.0454453 - 0.0103726i) q^{45} +(-8.09661 - 7.84675i) q^{46} +(0.371672 + 0.466062i) q^{47} +(0.644061 - 3.94781i) q^{48} +(5.55084 + 4.26476i) q^{49} +(-6.63396 + 2.43866i) q^{50} +(1.45775 - 1.16252i) q^{51} +(-9.58325 - 4.25044i) q^{52} +(0.113587 - 0.497658i) q^{53} +(0.984208 - 1.01555i) q^{54} +(-0.226879 - 0.109259i) q^{55} +(2.86407 - 6.91354i) q^{56} +(3.28232 - 1.58068i) q^{57} +(0.923910 - 2.77934i) q^{58} +(3.00005 + 1.44475i) q^{59} +(-0.0178870 + 0.0914961i) q^{60} +(12.0386 - 2.74773i) q^{61} +(-7.53728 - 4.57284i) q^{62} +(2.22740 - 1.42782i) q^{63} +(-7.93210 - 1.04008i) q^{64} +(0.220143 + 0.106015i) q^{65} +(6.40434 - 4.16549i) q^{66} +9.62227i q^{67} +(-2.41526 - 2.84122i) q^{68} +(-7.77277 + 1.77408i) q^{69} +(-0.0717694 + 0.158963i) q^{70} +(1.82800 + 0.417230i) q^{71} +(-2.09178 - 1.90380i) q^{72} +(7.50927 + 5.98844i) q^{73} +(3.59158 - 10.8043i) q^{74} +(-1.11212 + 4.87252i) q^{75} +(-3.36552 - 6.46236i) q^{76} +(13.4475 - 4.84239i) q^{77} +(-6.21419 + 4.04182i) q^{78} +6.41351i q^{79} +(0.184023 + 0.0300223i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(-0.550352 + 5.68366i) q^{82} +(2.99386 - 3.75418i) q^{83} +(-2.99383 - 4.36314i) q^{84} +(0.0541898 + 0.0679518i) q^{85} +(-6.32271 + 4.11240i) q^{86} +(-1.29127 - 1.61920i) q^{87} +(-8.72825 - 12.5413i) q^{88} +(-12.8025 - 10.2097i) q^{89} +(0.0473388 + 0.0458779i) q^{90} +(-13.0482 + 4.69862i) q^{91} +(4.03354 + 15.4267i) q^{92} +(-5.61649 + 2.70476i) q^{93} +(-0.107505 - 0.836153i) q^{94} +(0.0736821 + 0.153002i) q^{95} +(-3.67465 + 4.30081i) q^{96} +6.08284i q^{97} +(-3.58306 - 9.22831i) q^{98} -5.40217i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{14}\right)$

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 $

$2$	−1.20909	−	0.733551i	−0.854957	−	0.518699i
$2$	−1.20909	−	0.733551i	−0.854957	−	0.518699i
$3$	−0.900969	+	0.433884i	−0.520175	+	0.250503i
$3$	−0.900969	+	0.433884i	−0.520175	+	0.250503i
$4$	0.923805	+	1.77386i	0.461903	+	0.886931i
$5$	−0.0202251	−	0.0419978i	−0.00904493	−	0.0187820i	0.896397	−	0.443251i	$-0.146175\pi$
$5$	−0.0202251	−	0.0419978i	−0.00904493	−	0.0187820i	−0.905442	+	0.424469i	$0.860461\pi$
$6$	1.40763	+	0.136302i	0.574662	+	0.0556449i
$7$	2.50508	+	0.851222i	0.946831	+	0.321732i
$7$	2.50508	+	0.851222i	0.946831	+	0.321732i
$8$	0.184253	−	2.82242i	0.0651434	−	0.997876i
$9$	0.623490	−	0.781831i	0.207830	−	0.260610i
$10$	−0.00635357	+	0.0656153i	−0.00200918	+	0.0207494i
$11$	4.22358	−	3.36820i	1.27346	−	1.01555i	0.274922	−	0.961466i	$-0.411348\pi$
$11$	4.22358	−	3.36820i	1.27346	−	1.01555i	0.998536	−	0.0540831i	$-0.0172236\pi$
$12$	−1.60197	−	1.19737i	−0.462449	−	0.345651i
$13$	−4.09819	+	3.26819i	−1.13663	+	0.906434i	−0.996491	−	0.0836975i	$-0.973327\pi$
$13$	−4.09819	+	3.26819i	−1.13663	+	0.906434i	−0.140141	+	0.990132i	$0.544756\pi$
$14$	−2.40446	−	2.86681i	−0.642618	−	0.766187i
$15$	0.0364443	+	0.0290634i	0.00940989	+	0.00750414i
$16$	−2.29317	+	3.27740i	−0.573292	+	0.819351i
$17$	−1.81779	+	0.414899i	−0.440879	+	0.100628i	−0.437197	−	0.899366i	$-0.644029\pi$
$17$	−1.81779	+	0.414899i	−0.440879	+	0.100628i	−0.00368123	+	0.999993i	$0.501172\pi$
$18$	−1.32737	+	0.487944i	−0.312864	+	0.115010i
$19$	−3.64310			−0.835785			−0.417893	−	0.908496i	$-0.637231\pi$
$19$	−3.64310			−0.835785			−0.417893	+	0.908496i	$0.637231\pi$
$20$	0.0558143	−	0.0746743i	0.0124805	−	0.0166977i
$21$	−2.62633	+	0.319989i	−0.573112	+	0.0698273i
$22$	−7.57745	+	0.974242i	−1.61552	+	0.207709i
$23$	7.77277	+	1.77408i	1.62073	+	0.369922i	0.934080	−	0.357063i	$-0.116222\pi$
$23$	7.77277	+	1.77408i	1.62073	+	0.369922i	0.686654	+	0.726985i	$0.259079\pi$
$24$	1.05860	+	2.62286i	0.216085	+	0.535388i
$25$	3.11609	−	3.90746i	0.623219	−	0.781492i
$26$	7.35247	−	0.945317i	1.44194	−	0.185392i
$27$	−0.222521	+	0.974928i	−0.0428242	+	0.187625i
$28$	0.804255	+	5.23003i	0.151990	+	0.988382i
$29$	0.460848	+	2.01911i	0.0855773	+	0.374938i	0.999523	−	0.0308990i	$-0.00983703\pi$
$29$	0.460848	+	2.01911i	0.0855773	+	0.374938i	−0.913945	+	0.405838i	$0.866980\pi$
$30$	−0.0227451	−	0.0618741i	−0.00415266	−	0.0112966i
$31$	6.23384			1.11963			0.559815	−	0.828618i	$-0.310872\pi$
$31$	6.23384			1.11963			0.559815	+	0.828618i	$0.310872\pi$
$32$	5.17679	−	2.28053i	0.915137	−	0.403144i
$33$	−2.34391	+	4.86719i	−0.408023	+	0.847268i
$34$	2.50222	+	0.831791i	0.429128	+	0.142651i
$35$	−0.0149160	−	0.122424i	−0.00252126	−	0.0206934i
$36$	1.96284	+	0.383725i	0.327141	+	0.0639541i
$37$	1.79149	+	7.84902i	0.294519	+	1.29037i	0.878163	+	0.478361i	$0.158769\pi$
$37$	1.79149	+	7.84902i	0.294519	+	1.29037i	−0.583645	+	0.812009i	$0.698374\pi$
$38$	4.40485	+	2.67240i	0.714561	+	0.433521i
$39$	2.27432	−	4.72268i	0.364183	−	0.756234i
$40$	−0.122262	+	0.0493454i	−0.0193313	+	0.00780220i
$41$	−1.75191	−	3.63789i	−0.273603	−	0.568142i	0.718212	−	0.695824i	$-0.244961\pi$
$41$	−1.75191	−	3.63789i	−0.273603	−	0.568142i	−0.991815	+	0.127682i	$0.959246\pi$
$42$	3.41020	+	1.53965i	0.526205	+	0.237573i
$43$	2.31404	−	4.80515i	0.352888	−	0.732779i	−0.646662	−	0.762777i	$-0.723836\pi$
$43$	2.31404	−	4.80515i	0.352888	−	0.732779i	0.999550	+	0.0299974i	$0.00954991\pi$
$44$	9.87648	+	4.38050i	1.48894	+	0.660385i
$45$	−0.0454453	−	0.0103726i	−0.00677459	−	0.00154626i
$46$	−8.09661	−	7.84675i	−1.19378	−	1.15694i
$47$	0.371672	+	0.466062i	0.0542140	+	0.0679822i	0.808199	−	0.588909i	$-0.200442\pi$
$47$	0.371672	+	0.466062i	0.0542140	+	0.0679822i	−0.753985	+	0.656891i	$0.771871\pi$
$48$	0.644061	−	3.94781i	0.0929622	−	0.569817i
$49$	5.55084	+	4.26476i	0.792978	+	0.609251i
$50$	−6.63396	+	2.43866i	−0.938184	+	0.344879i
$51$	1.45775	−	1.16252i	0.204126	−	0.162785i
$52$	−9.58325	−	4.25044i	−1.32896	−	0.589430i
$53$	0.113587	−	0.497658i	0.0156024	−	0.0683586i	−0.966527	−	0.256563i	$-0.917410\pi$
$53$	0.113587	−	0.497658i	0.0156024	−	0.0683586i	0.982130	+	0.188205i	$0.0602669\pi$
$54$	0.984208	−	1.01555i	0.133934	−	0.138198i
$55$	−0.226879	−	0.109259i	−0.0305924	−	0.0147325i
$56$	2.86407	−	6.91354i	0.382728	−	0.923861i
$57$	3.28232	−	1.58068i	0.434754	−	0.209367i
$58$	0.923910	−	2.77934i	0.121315	−	0.364945i
$59$	3.00005	+	1.44475i	0.390573	+	0.188090i	0.618856	−	0.785505i	$-0.287597\pi$
$59$	3.00005	+	1.44475i	0.390573	+	0.188090i	−0.228282	+	0.973595i	$0.573311\pi$
$60$	−0.0178870	+	0.0914961i	−0.00230920	+	0.0118121i
$61$	12.0386	−	2.74773i	1.54138	−	0.351811i	0.634409	−	0.772998i	$-0.281244\pi$
$61$	12.0386	−	2.74773i	1.54138	−	0.351811i	0.906974	+	0.421187i	$0.138386\pi$
$62$	−7.53728	−	4.57284i	−0.957235	−	0.580751i
$63$	2.22740	−	1.42782i	0.280626	−	0.179889i
$64$	−7.93210	−	1.04008i	−0.991513	−	0.130010i
$65$	0.220143	+	0.106015i	0.0273054	+	0.0131496i
$66$	6.40434	−	4.16549i	0.788319	−	0.512737i
$67$			9.62227i			1.17555i	0.809025	+	0.587774i	$0.199996\pi$
$67$			9.62227i			1.17555i	−0.809025	+	0.587774i	$0.800004\pi$
$68$	−2.41526	−	2.84122i	−0.292893	−	0.344549i
$69$	−7.77277	+	1.77408i	−0.935731	+	0.213575i
$70$	−0.0717694	+	0.158963i	−0.00857809	+	0.0189998i
$71$	1.82800	+	0.417230i	0.216944	+	0.0495161i	0.329611	−	0.944117i	$-0.393082\pi$
$71$	1.82800	+	0.417230i	0.216944	+	0.0495161i	−0.112667	+	0.993633i	$0.535939\pi$
$72$	−2.09178	−	1.90380i	−0.246518	−	0.224366i
$73$	7.50927	+	5.98844i	0.878894	+	0.700894i	0.955127	−	0.296196i	$-0.0957181\pi$
$73$	7.50927	+	5.98844i	0.878894	+	0.700894i	−0.0762337	+	0.997090i	$0.524290\pi$
$74$	3.59158	−	10.8043i	0.417513	−	1.25598i
$75$	−1.11212	+	4.87252i	−0.128417	+	0.562630i
$76$	−3.36552	−	6.46236i	−0.386051	−	0.741284i
$77$	13.4475	−	4.84239i	1.53248	−	0.551842i
$78$	−6.21419	+	4.04182i	−0.703618	+	0.457646i
$79$			6.41351i			0.721576i	0.932648	+	0.360788i	$0.117492\pi$
$79$			6.41351i			0.721576i	−0.932648	+	0.360788i	$0.882508\pi$
$80$	0.184023	+	0.0300223i	0.0205744	+	0.00335660i
$81$	−0.222521	−	0.974928i	−0.0247245	−	0.108325i
$82$	−0.550352	+	5.68366i	−0.0607762	+	0.627655i
$83$	2.99386	−	3.75418i	0.328619	−	0.412075i	−0.589885	−	0.807487i	$-0.700827\pi$
$83$	2.99386	−	3.75418i	0.328619	−	0.412075i	0.918504	+	0.395412i	$0.129398\pi$
$84$	−2.99383	−	4.36314i	−0.326654	−	0.476057i
$85$	0.0541898	+	0.0679518i	0.00587771	+	0.00737041i
$86$	−6.32271	+	4.11240i	−0.681796	+	0.443452i
$87$	−1.29127	−	1.61920i	−0.138438	−	0.173596i
$88$	−8.72825	−	12.5413i	−0.930435	−	1.33691i
$89$	−12.8025	−	10.2097i	−1.35706	−	1.08222i	−0.988271	−	0.152712i	$-0.951199\pi$
$89$	−12.8025	−	10.2097i	−1.35706	−	1.08222i	−0.368794	−	0.929511i	$-0.620229\pi$
$90$	0.0473388	+	0.0458779i	0.00498994	+	0.00483596i
$91$	−13.0482	+	4.69862i	−1.36783	+	0.492549i
$92$	4.03354	+	15.4267i	0.420526	+	1.60835i
$93$	−5.61649	+	2.70476i	−0.582403	+	0.280471i
$94$	−0.107505	−	0.836153i	−0.0110883	−	0.0862426i
$95$	0.0736821	+	0.153002i	0.00755962	+	0.0156977i
$96$	−3.67465	+	4.30081i	−0.375042	+	0.438950i
$97$			6.08284i			0.617618i	0.951124	+	0.308809i	$0.0999305\pi$
$97$			6.08284i			0.617618i	−0.951124	+	0.308809i	$0.900070\pi$
$98$	−3.58306	−	9.22831i	−0.361944	−	0.932200i
$99$		−	5.40217i		−	0.542938i
$100$	9.80995	+	1.91779i	0.980995	+	0.191779i
$101$	2.27205	+	4.71797i	0.226078	+	0.469455i	0.982894	−	0.184173i	$-0.0589605\pi$
$101$	2.27205	+	4.71797i	0.226078	+	0.469455i	−0.756816	+	0.653628i	$0.773246\pi$
$102$	−2.61533	+	0.336256i	−0.258956	+	0.0332943i
$103$	15.4641	−	7.44714i	1.52373	−	0.733788i	0.530252	−	0.847840i	$-0.322097\pi$
$103$	15.4641	−	7.44714i	1.52373	−	0.733788i	0.993475	+	0.114052i	$0.0363830\pi$
$104$	8.46911	+	12.1690i	0.830465	+	1.19327i
$105$	0.0665566	+	0.103828i	0.00649526	+	0.0101326i
$106$	−0.502395	+	0.518392i	−0.0487969	+	0.0503507i
$107$	4.24003	+	3.38131i	0.409899	+	0.326883i	0.806636	−	0.591049i	$-0.201286\pi$
$107$	4.24003	+	3.38131i	0.409899	+	0.326883i	−0.396737	+	0.917932i	$0.629857\pi$
$108$	−1.93495	+	0.505922i	−0.186191	+	0.0486824i
$109$	−10.5405	−	13.2174i	−1.00960	−	1.26600i	−0.963682	−	0.267051i	$-0.913951\pi$
$109$	−10.5405	−	13.2174i	−1.00960	−	1.26600i	−0.0459163	−	0.998945i	$-0.514621\pi$
$110$	0.194171	+	0.298532i	0.0185134	+	0.0284639i
$111$	−5.01963	−	6.29442i	−0.476443	−	0.597440i
$112$	−8.53437	+	6.25816i	−0.806422	+	0.591341i
$113$	−8.37381	+	10.5004i	−0.787742	+	0.987797i	0.212203	+	0.977226i	$0.431936\pi$
$113$	−8.37381	+	10.5004i	−0.787742	+	0.987797i	−0.999944	+	0.0105709i	$0.996635\pi$
$114$	−5.12814	−	0.496561i	−0.480295	−	0.0465072i
$115$	−0.0826972	−	0.362320i	−0.00771156	−	0.0337865i
$116$	−3.15588	+	2.68274i	−0.293016	+	0.249086i
$117$			5.24178i			0.484602i
$118$	−2.56754	−	3.94752i	−0.236361	−	0.363399i
$119$	−4.90688	−	0.507988i	−0.449813	−	0.0465672i
$120$	0.0887441	−	0.0975062i	0.00810119	−	0.00890106i
$121$	4.04619	−	17.7275i	0.367836	−	1.61159i
$122$	−16.5714	−	5.50866i	−1.50030	−	0.498731i
$123$	3.15684	+	2.51750i	0.284643	+	0.226995i
$124$	5.75885	+	11.0580i	0.517160	+	0.993034i
$125$	−0.454355	−	0.103704i	−0.0406387	−	0.00927552i
$126$	−3.74052	+	0.0924527i	−0.333232	+	0.00823635i
$127$	−16.5222	+	3.77108i	−1.46611	+	0.334629i	−0.879755	−	0.475427i	$-0.842293\pi$
$127$	−16.5222	+	3.77108i	−1.46611	+	0.334629i	−0.586352	+	0.810057i	$0.699436\pi$
$128$	8.82768	+	7.07616i	0.780264	+	0.625450i
$129$			5.33332i			0.469573i
$130$	−0.188406	−	0.289669i	−0.0165243	−	0.0254056i
$131$	0.352038	+	0.169532i	0.0307577	+	0.0148121i	0.449199	−	0.893432i	$-0.351709\pi$
$131$	0.352038	+	0.169532i	0.0307577	+	0.0148121i	−0.418442	+	0.908244i	$0.637424\pi$
$132$	−10.7990	+	0.338554i	−0.939935	+	0.0294673i
$133$	−9.12626	−	3.10109i	−0.791348	−	0.268899i
$134$	7.05843	−	11.6342i	0.609756	−	1.00504i
$135$	0.0454453	−	0.0103726i	0.00391131	−	0.000892732i
$136$	0.836084	+	5.20701i	0.0716936	+	0.446497i
$137$	4.71687	+	2.27152i	0.402989	+	0.194069i	0.624389	−	0.781114i	$-0.285348\pi$
$137$	4.71687	+	2.27152i	0.402989	+	0.194069i	−0.221399	+	0.975183i	$0.571062\pi$
$138$	10.6994	+	3.55669i	0.910791	+	0.302766i
$139$	−10.8589	+	5.22936i	−0.921039	+	0.443549i	−0.833442	−	0.552607i	$-0.813633\pi$
$139$	−10.8589	+	5.22936i	−0.921039	+	0.443549i	−0.0875968	+	0.996156i	$0.527919\pi$
$140$	0.203384	−	0.139555i	0.0171890	−	0.0117945i
$141$	−0.537082	−	0.258645i	−0.0452305	−	0.0217818i
$142$	−1.90416	−	1.84540i	−0.159794	−	0.154863i
$143$	−6.30112	+	27.6070i	−0.526926	+	2.30861i
$144$	1.13261	+	3.83630i	0.0943842	+	0.319692i
$145$	0.0754773	−	0.0601912i	0.00626805	−	0.00499860i
$146$	−4.68657	−	12.7490i	−0.387863	−	1.05512i
$147$	−6.85155	−	1.43399i	−0.565106	−	0.118274i
$148$	−12.2681	+	10.4288i	−1.00843	+	0.857243i
$149$	−12.8149	−	16.0694i	−1.04984	−	1.31646i	−0.946815	−	0.321778i	$-0.895720\pi$
$149$	−12.8149	−	16.0694i	−1.04984	−	1.31646i	−0.103024	−	0.994679i	$-0.532852\pi$
$150$	4.91890	−	5.07553i	0.401627	−	0.414415i
$151$	12.4520	+	2.84209i	1.01333	+	0.231286i	0.696776	−	0.717288i	$-0.254617\pi$
$151$	12.4520	+	2.84209i	1.01333	+	0.231286i	0.316554	+	0.948574i	$0.397474\pi$
$152$	−0.671254	+	10.2824i	−0.0544459	+	0.834010i
$153$	−0.808992	+	1.67989i	−0.0654032	+	0.135811i
$154$	−19.8114	−	4.00953i	−1.59645	−	0.323097i
$155$	−0.126080	−	0.261807i	−0.0101270	−	0.0210289i
$156$	10.4784	−	0.328502i	0.838944	−	0.0263012i
$157$	−7.88108	+	16.3652i	−0.628978	+	1.30609i	0.306219	+	0.951961i	$0.400936\pi$
$157$	−7.88108	+	16.3652i	−0.628978	+	1.30609i	−0.935198	+	0.354126i	$0.884778\pi$
$158$	4.70464	−	7.75452i	0.374281	−	0.616917i
$159$	0.113587	+	0.497658i	0.00900805	+	0.0394669i
$160$	−0.200478	−	0.171290i	−0.0158492	−	0.0135417i
$161$	17.9613	+	11.0606i	1.41555	+	0.871695i
$162$	−0.446111	+	1.34201i	−0.0350498	+	0.105438i
$163$	0.749849	−	1.55708i	0.0587327	−	0.121960i	−0.869537	−	0.493869i	$-0.835582\pi$
$163$	0.749849	−	1.55708i	0.0587327	−	0.121960i	0.928269	+	0.371909i	$0.121297\pi$
$164$	4.83468	−	6.46835i	0.377525	−	0.505093i
$165$	0.251817			0.0196039
$166$	−6.37374	+	2.34300i	−0.494698	+	0.181852i
$167$	−5.01762	−	21.9836i	−0.388275	−	1.70114i	−0.670595	−	0.741823i	$-0.733961\pi$
$167$	−5.01762	−	21.9836i	−0.388275	−	1.70114i	0.282320	−	0.959320i	$-0.408896\pi$
$168$	0.419233	+	7.47156i	0.0323445	+	0.576444i
$169$	3.22126	−	14.1133i	0.247789	−	1.08564i
$170$	−0.0156743	−	0.121911i	−0.00120216	−	0.00935014i
$171$	−2.27144	+	2.84829i	−0.173701	+	0.217814i
$172$	10.6614	−	0.334239i	0.812924	−	0.0254855i
$173$	−15.7733	−	3.60016i	−1.19922	−	0.273715i	−0.424154	−	0.905590i	$-0.639429\pi$
$173$	−15.7733	−	3.60016i	−1.19922	−	0.273715i	−0.775070	+	0.631875i	$0.782286\pi$
$174$	0.373495	+	2.90497i	0.0283146	+	0.220225i
$175$	11.1322	−	7.13601i	0.841513	−	0.539431i
$176$	1.35355	+	21.5662i	0.102028	+	1.62562i
$177$	−3.32980			−0.250283
$178$	7.99011	+	21.7357i	0.598884	+	1.62916i
$179$	0.240257	−	0.0548370i	0.0179576	−	0.00409871i	−0.213533	−	0.976936i	$-0.568497\pi$
$179$	0.240257	−	0.0548370i	0.0179576	−	0.00409871i	0.231490	+	0.972837i	$0.425640\pi$
$180$	−0.0235831	−	0.0901960i	−0.00175778	−	0.00672281i
$181$	−5.83782	−	4.65550i	−0.433921	−	0.346041i	0.382041	−	0.924145i	$-0.375221\pi$
$181$	−5.83782	−	4.65550i	−0.433921	−	0.346041i	−0.815963	+	0.578104i	$0.803793\pi$
$182$	19.2232	+	3.89049i	1.42492	+	0.288382i
$183$	−9.65420	+	7.69896i	−0.713659	+	0.569124i
$184$	6.43937	−	21.6111i	0.474716	−	1.59319i
$185$	0.293409	−	0.233986i	0.0215718	−	0.0172030i
$186$	8.77493	+	0.849682i	0.643409	+	0.0623017i
$187$	−6.28013	+	7.87503i	−0.459248	+	0.575879i
$188$	−0.483377	+	1.08985i	−0.0352539	+	0.0794852i
$189$	−1.38731	+	2.25286i	−0.100912	+	0.163871i
$190$	0.0231467	−	0.239044i	0.00167924	−	0.0173420i
$191$	−0.526785	−	1.09388i	−0.0381168	−	0.0791504i	0.881041	−	0.473040i	$-0.156843\pi$
$191$	−0.526785	−	1.09388i	−0.0381168	−	0.0791504i	−0.919158	+	0.393890i	$0.871129\pi$
$192$	7.59785	−	2.50453i	0.548328	−	0.180749i
$193$	9.04236	−	4.35457i	0.650884	−	0.313449i	−0.0791475	−	0.996863i	$-0.525220\pi$
$193$	9.04236	−	4.35457i	0.650884	−	0.313449i	0.730031	+	0.683414i	$0.239506\pi$
$194$	4.46207	−	7.35471i	0.320358	−	0.528037i
$195$	−0.244340			−0.0174976
$196$	−2.43719	+	13.7862i	−0.174085	+	0.984731i
$197$	−11.0226			−0.785329			−0.392664	−	0.919682i	$-0.628447\pi$
$197$	−11.0226			−0.785329			−0.392664	+	0.919682i	$0.628447\pi$
$198$	−3.96277	+	6.53172i	−0.281622	+	0.464189i
$199$	−7.21398	+	3.47407i	−0.511386	+	0.246270i	−0.671737	−	0.740790i	$-0.734452\pi$
$199$	−7.21398	+	3.47407i	−0.511386	+	0.246270i	0.160351	+	0.987060i	$0.448737\pi$
$200$	−10.4543	−	9.51489i	−0.739233	−	0.672804i
$201$	−4.17495	−	8.66937i	−0.294478	−	0.611490i
$202$	0.713750	−	7.37112i	0.0502193	−	0.518630i
$203$	−0.564247	+	5.45030i	−0.0396023	+	0.382536i
$204$	3.40883	+	1.51191i	0.238666	+	0.105855i
$205$	−0.117351	+	0.147153i	−0.00819613	+	0.0102776i
$206$	−24.1604	−	2.33947i	−1.68334	−	0.162998i
$207$	6.23328	−	4.97087i	0.433243	−	0.345499i
$208$	−1.31336	−	20.9259i	−0.0910653	−	1.45095i
$209$	−15.3870	+	12.2707i	−1.06434	+	0.848781i
$210$	−0.00430960	−	0.174361i	−0.000297391	−	0.0120320i
$211$	−2.57719	−	2.05524i	−0.177421	−	0.141489i	0.530753	−	0.847527i	$-0.321909\pi$
$211$	−2.57719	−	2.05524i	−0.177421	−	0.141489i	−0.708174	+	0.706038i	$0.750481\pi$
$212$	0.987709	−	0.258251i	0.0678361	−	0.0177368i
$213$	−1.82800	+	0.417230i	−0.125253	+	0.0285881i
$214$	−2.64622	−	7.19859i	−0.180892	−	0.492085i
$215$	−0.248608			−0.0169549
$216$	2.71066	+	0.807681i	0.184437	+	0.0549557i
$217$	15.6163	+	5.30638i	1.06010	+	0.360220i
$218$	3.04882	+	23.7131i	0.206492	+	1.60605i
$219$	−9.36391	−	2.13725i	−0.632754	−	0.144422i
$220$	−0.0157814	−	0.503387i	−0.00106398	−	0.0339383i
$221$	6.09367	−	7.64122i	0.409905	−	0.514004i
$222$	1.45192	+	11.2927i	0.0974462	+	0.757916i
$223$	3.49760	−	15.3240i	0.234217	−	1.02617i	−0.711883	−	0.702298i	$-0.752158\pi$
$223$	3.49760	−	15.3240i	0.234217	−	1.02617i	0.946100	−	0.323874i	$-0.104985\pi$
$224$	14.9095	−	1.30630i	0.996184	−	0.0872806i
$225$	−1.11212	−	4.87252i	−0.0741414	−	0.324835i
$226$	17.8273	−	6.55336i	1.18585	−	0.435923i
$227$	−14.8216			−0.983742			−0.491871	−	0.870668i	$-0.663687\pi$
$227$	−14.8216			−0.983742			−0.491871	+	0.870668i	$0.663687\pi$
$228$	5.83614	+	4.36214i	0.386508	+	0.288890i
$229$	5.04858	−	10.4835i	0.333619	−	0.692768i	−0.664913	−	0.746921i	$-0.731531\pi$
$229$	5.04858	−	10.4835i	0.333619	−	0.692768i	0.998533	+	0.0541526i	$0.0172458\pi$
$230$	−0.165792	+	0.498741i	−0.0109320	+	0.0328860i
$231$	−10.0147	+	10.1975i	−0.658922	+	0.670946i
$232$	5.78368	−	0.928678i	0.379717	−	0.0609707i
$233$	−2.35978	−	10.3389i	−0.154594	−	0.677322i	−0.991514	−	0.129997i	$-0.958503\pi$
$233$	−2.35978	−	10.3389i	−0.154594	−	0.677322i	0.836920	−	0.547325i	$-0.184354\pi$
$234$	3.84511	−	6.33779i	0.251363	−	0.414314i
$235$	0.0120565	−	0.0250356i	0.000786479	−	0.00163314i
$236$	0.208679	+	6.65634i	0.0135838	+	0.433291i
$237$	−2.78272	−	5.77837i	−0.180757	−	0.375346i
$238$	5.56023	+	4.21365i	0.360416	+	0.273130i
$239$	8.65838	−	17.9793i	0.560064	−	1.16299i	−0.408162	−	0.912909i	$-0.633830\pi$
$239$	8.65838	−	17.9793i	0.560064	−	1.16299i	0.968226	−	0.250076i	$-0.0804555\pi$
$240$	−0.178825	+	0.0527956i	−0.0115431	+	0.00340794i
$241$	18.2252	+	4.15979i	1.17399	+	0.267956i	0.764662	−	0.644431i	$-0.222906\pi$
$241$	18.2252	+	4.15979i	1.17399	+	0.267956i	0.409329	+	0.912387i	$0.365763\pi$
$242$	−17.8963	+	18.4661i	−1.15042	+	1.18705i
$243$	0.623490	+	0.781831i	0.0399969	+	0.0501545i
$244$	15.9954	+	18.8164i	1.02400	+	1.20460i
$245$	0.0668442	−	0.319378i	0.00427052	−	0.0204043i
$246$	−1.97020	−	5.35959i	−0.125615	−	0.341715i
$247$	14.9301	−	11.9064i	0.949981	−	0.757584i
$248$	1.14861	−	17.5945i	0.0729365	−	1.11725i
$249$	−1.06850	+	4.68139i	−0.0677132	+	0.296671i
$250$	0.473285	+	0.458680i	0.0299331	+	0.0290094i
$251$	−14.3874	−	6.92863i	−0.908127	−	0.437331i	−0.0793098	−	0.996850i	$-0.525272\pi$
$251$	−14.3874	−	6.92863i	−0.908127	−	0.437331i	−0.828818	+	0.559519i	$0.810986\pi$
$252$	4.59044	+	2.63208i	0.289171	+	0.165805i
$253$	38.8044	−	18.6872i	2.43961	−	1.17486i
$254$	22.7431	+	7.56029i	1.42703	+	0.474375i
$255$	−0.0783065	−	0.0377104i	−0.00490374	−	0.00236152i
$256$	−5.48276	−	15.0313i	−0.342672	−	0.939455i
$257$	13.7431	−	3.13677i	0.857270	−	0.195666i	0.228774	−	0.973480i	$-0.426528\pi$
$257$	13.7431	−	3.13677i	0.857270	−	0.195666i	0.628495	+	0.777813i	$0.283671\pi$
$258$	3.91226	−	6.44847i	0.243567	−	0.401464i
$259$	−2.19344	+	21.1874i	−0.136294	+	1.31652i
$260$	0.0153128	+	0.488441i	0.000949660	+	0.0302918i
$261$	1.86593	+	0.898587i	0.115498	+	0.0556211i
$262$	−0.301285	−	0.463218i	−0.0186135	−	0.0286177i
$263$			17.2157i			1.06156i	0.847509	+	0.530781i	$0.178102\pi$
$263$			17.2157i			1.06156i	−0.847509	+	0.530781i	$0.821898\pi$
$264$	13.3054	+	7.51230i	0.818889	+	0.462350i
$265$	−0.0231979	+	0.00529476i	−0.00142503	+	0.000325255i
$266$	8.75968	+	10.4441i	0.537091	+	0.640368i
$267$	15.9645	+	3.64379i	0.977011	+	0.222996i
$268$	−17.0686	+	8.88910i	−1.04263	+	0.542988i
$269$	−0.966429	−	0.770701i	−0.0589242	−	0.0469905i	0.593585	−	0.804771i	$-0.297712\pi$
$269$	−0.966429	−	0.770701i	−0.0589242	−	0.0469905i	−0.652509	+	0.757781i	$0.726284\pi$
$270$	−0.0625564	−	0.0207951i	−0.00380706	−	0.00126555i
$271$	1.98137	−	8.68095i	0.120360	−	0.527330i	−0.878418	−	0.477894i	$-0.841400\pi$
$271$	1.98137	−	8.68095i	0.120360	−	0.527330i	0.998777	−	0.0494363i	$-0.0157425\pi$
$272$	2.80871	−	6.90906i	0.170303	−	0.418923i
$273$	9.71740	−	9.89473i	0.588124	−	0.598856i
$274$	−4.03685	−	6.20655i	−0.243875	−	0.374951i
$275$		−	26.9991i		−	1.62811i
$276$	−10.3275	−	12.1489i	−0.621642	−	0.731278i
$277$	−0.652312	−	2.85797i	−0.0391937	−	0.171719i	0.951543	−	0.307516i	$-0.0994976\pi$
$277$	−0.652312	−	2.85797i	−0.0391937	−	0.171719i	−0.990737	+	0.135797i	$0.956640\pi$
$278$	16.9654	+	1.64277i	1.01752	+	0.0985268i
$279$	3.88673	−	4.87381i	0.232693	−	0.291787i
$280$	−0.348280	+	0.0195421i	−0.0208137	+	0.00116787i
$281$	2.02682	+	2.54155i	0.120910	+	0.151616i	0.838602	−	0.544744i	$-0.183373\pi$
$281$	2.02682	+	2.54155i	0.120910	+	0.151616i	−0.717693	+	0.696360i	$0.754802\pi$
$282$	0.459652	+	0.706703i	0.0273719	+	0.0420835i
$283$	−15.0553	−	18.8788i	−0.894946	−	1.12223i	−0.991911	−	0.126939i	$-0.959485\pi$
$283$	−15.0553	−	18.8788i	−0.894946	−	1.12223i	0.0969649	−	0.995288i	$-0.469087\pi$
$284$	0.948611	+	3.62806i	0.0562897	+	0.215286i
$285$	−0.132771	−	0.105881i	−0.00786465	−	0.00627185i
$286$	27.8698	−	28.7572i	1.64797	−	1.70045i
$287$	−1.29203	−	10.6045i	−0.0762664	−	0.625961i
$288$	1.44469	−	5.46927i	0.0851293	−	0.322280i
$289$	−12.1843	+	5.86763i	−0.716721	+	0.345155i
$290$	−0.135412	+	0.0174101i	−0.00795169	+	0.00102236i
$291$	−2.63924	−	5.48045i	−0.154715	−	0.321269i
$292$	−3.68557	+	18.8526i	−0.215681	+	1.10326i
$293$			21.4997i			1.25603i	0.778202	+	0.628014i	$0.216132\pi$
$293$			21.4997i			1.25603i	−0.778202	+	0.628014i	$0.783868\pi$
$294$	7.23224	+	6.75979i	0.421793	+	0.394239i
$295$		−	0.155216i		−	0.00903701i
$296$	22.4833	−	3.61012i	1.30682	−	0.209834i
$297$	2.34391	+	4.86719i	0.136008	+	0.282423i
$298$	3.70668	+	28.8298i	0.214722	+	1.67006i
$299$	−37.6523	+	18.1324i	−2.17749	+	1.04862i
$300$	−9.67056	+	2.52851i	−0.558330	+	0.145984i
$301$	9.88711	−	10.0675i	0.569883	−	0.580283i
$302$	−12.9708	−	12.5705i	−0.746386	−	0.723353i
$303$	−4.09410	−	3.26493i	−0.235200	−	0.187566i
$304$	8.35425	−	11.9399i	0.479149	−	0.684802i
$305$	−0.358880	−	0.450021i	−0.0205494	−	0.0257681i
$306$	2.21043	−	1.43770i	0.126362	−	0.0821880i
$307$	1.05044	+	1.31721i	0.0599516	+	0.0751769i	0.810903	−	0.585180i	$-0.198976\pi$
$307$	1.05044	+	1.31721i	0.0599516	+	0.0751769i	−0.750952	+	0.660357i	$0.770405\pi$
$308$	21.0126	+	19.3806i	1.19730	+	1.10431i
$309$	−10.7015	+	13.4193i	−0.608788	+	0.763396i
$310$	−0.0396071	+	0.409035i	−0.00224953	+	0.0232316i
$311$	−6.08177	−	26.6460i	−0.344865	−	1.51095i	−0.788662	−	0.614827i	$-0.789226\pi$
$311$	−6.08177	−	26.6460i	−0.344865	−	1.51095i	0.443797	−	0.896127i	$-0.353631\pi$
$312$	−12.9103	−	7.28926i	−0.730903	−	0.412673i
$313$			16.2824i			0.920338i	0.887831	+	0.460169i	$0.152211\pi$
$313$			16.2824i			0.920338i	−0.887831	+	0.460169i	$0.847789\pi$
$314$	21.5337	−	14.0059i	1.21522	−	0.790397i
$315$	−0.105015	−	0.0646683i	−0.00591691	−	0.00364364i
$316$	−11.3767	+	5.92483i	−0.639988	+	0.333298i
$317$	−3.86046	+	16.9138i	−0.216825	+	0.949971i	0.742982	+	0.669311i	$0.233411\pi$
$317$	−3.86046	+	16.9138i	−0.216825	+	0.949971i	−0.959807	+	0.280660i	$0.909447\pi$
$318$	0.227720	−	0.685036i	0.0127699	−	0.0384149i
$319$	8.74717	+	6.97564i	0.489748	+	0.390561i
$320$	0.116746	+	0.354167i	0.00652632	+	0.0197985i
$321$	−5.28722	−	1.20677i	−0.295104	−	0.0673556i
$322$	−13.6033	−	26.5487i	−0.758083	−	1.47950i
$323$	6.62240	−	1.51152i	0.368480	−	0.0841032i
$324$	1.52382	−	1.29536i	0.0846567	−	0.0719647i
$325$			26.1975i			1.45318i
$326$	−2.04883	+	1.33260i	−0.113474	+	0.0738057i
$327$	15.2315	+	7.33510i	0.842303	+	0.405632i
$328$	−10.5904	+	4.27434i	−0.584759	+	0.236011i
$329$	0.534346	+	1.48390i	0.0294595	+	0.0818100i
$330$	−0.304470	−	0.184721i	−0.0167605	−	0.0101685i
$331$	15.6987	−	3.58313i	0.862879	−	0.196947i	0.231894	−	0.972741i	$-0.425508\pi$
$331$	15.6987	−	3.58313i	0.862879	−	0.196947i	0.630986	+	0.775794i	$0.282651\pi$
$332$	9.42514	+	1.84256i	0.517272	+	0.101124i
$333$	7.25358	+	3.49314i	0.397494	+	0.191423i
$334$	−10.0594	+	30.2609i	−0.550423	+	1.65580i
$335$	0.404114	−	0.194611i	0.0220791	−	0.0106327i
$336$	4.97388	−	9.34133i	0.271348	−	0.509611i
$337$	−29.1283	−	14.0275i	−1.58672	−	0.764124i	−0.587730	−	0.809057i	$-0.699978\pi$
$337$	−29.1283	−	14.0275i	−1.58672	−	0.764124i	−0.998990	+	0.0449324i	$0.985693\pi$
$338$	−14.2476	+	14.7013i	−0.774968	+	0.799644i
$339$	2.98858	−	13.0938i	0.162317	−	0.711158i
$340$	−0.0704763	+	0.158899i	−0.00382212	+	0.00861753i
$341$	26.3291	−	20.9968i	1.42580	−	1.13704i
$342$	4.83575	−	1.77763i	0.261487	−	0.0961233i
$343$	10.2750	+	15.4085i	0.554801	+	0.831983i
$344$	−13.1358	−	7.41656i	−0.708234	−	0.399874i
$345$	0.231712	+	0.290558i	0.0124750	+	0.0156431i
$346$	16.4305	+	15.9235i	0.883310	+	0.856051i
$347$	−22.3555	−	5.10249i	−1.20010	−	0.273916i	−0.424672	−	0.905347i	$-0.639611\pi$
$347$	−22.3555	−	5.10249i	−1.20010	−	0.273916i	−0.775432	+	0.631431i	$0.782468\pi$
$348$	1.67935	−	3.78635i	0.0900227	−	0.202970i
$349$	−7.36603	+	15.2957i	−0.394295	+	0.818762i	0.605444	+	0.795888i	$0.292996\pi$
$349$	−7.36603	+	15.2957i	−0.394295	+	0.818762i	−0.999738	+	0.0228733i	$0.992719\pi$
$350$	−18.6944	+	0.462063i	−0.999260	+	0.0246983i
$351$	−2.27432	−	4.72268i	−0.121394	−	0.252078i
$352$	14.1834	−	27.0685i	0.755976	−	1.44275i
$353$	−12.0111	+	24.9414i	−0.639288	+	1.32750i	0.289604	+	0.957146i	$0.406476\pi$
$353$	−12.0111	+	24.9414i	−0.639288	+	1.32750i	−0.928893	+	0.370349i	$0.879238\pi$
$354$	4.02604	+	2.44258i	0.213981	+	0.129822i
$355$	−0.0194488	−	0.0852107i	−0.00103223	−	0.00452251i
$356$	6.28351	−	32.1416i	0.333025	−	1.70350i
$357$	4.64135	−	1.67133i	0.245646	−	0.0884563i
$358$	−0.330718	−	0.109938i	−0.0174790	−	0.00581039i
$359$	−12.7529	+	26.4817i	−0.673074	+	1.39765i	0.232134	+	0.972684i	$0.425429\pi$
$359$	−12.7529	+	26.4817i	−0.673074	+	1.39765i	−0.905208	+	0.424969i	$0.860285\pi$
$360$	−0.0376493	+	0.126355i	−0.00198429	+	0.00665947i
$361$	−5.72779			−0.301463
$362$	3.64340	+	9.91127i	0.191493	+	0.520925i
$363$	4.04619	+	17.7275i	0.212370	+	0.930454i
$364$	−20.3887	−	18.8052i	−1.06866	−	0.985658i
$365$	0.0996259	−	0.436490i	0.00521466	−	0.0228469i
$366$	17.3204	−	2.22691i	0.905351	−	0.116402i
$367$	3.58881	−	4.50022i	0.187334	−	0.234910i	−0.679291	−	0.733869i	$-0.737713\pi$
$367$	3.58881	−	4.50022i	0.187334	−	0.234910i	0.866626	+	0.498959i	$0.166284\pi$
$368$	−23.6387	+	21.4062i	−1.23225	+	1.11588i
$369$	−3.93651	−	0.898484i	−0.204927	−	0.0467732i
$370$	−0.526398	+	0.0676797i	−0.0273661	+	0.00351850i
$371$	0.708162	−	1.14998i	0.0367660	−	0.0597042i
$372$	−9.98641	−	7.46421i	−0.517771	−	0.387001i
$373$	16.7948			0.869600			0.434800	−	0.900527i	$-0.356819\pi$
$373$	16.7948			0.869600			0.434800	+	0.900527i	$0.356819\pi$
$374$	13.3700	−	4.91484i	0.691346	−	0.254140i
$375$	0.454355	−	0.103704i	0.0234628	−	0.00535523i
$376$	1.38391	−	0.963142i	0.0713695	−	0.0496702i
$377$	−8.48747	−	6.76853i	−0.437127	−	0.348597i
$378$	3.32997	−	1.70625i	0.171275	−	0.0877598i
$379$	−4.38597	+	3.49770i	−0.225292	+	0.179665i	−0.729631	−	0.683842i	$-0.760308\pi$
$379$	−4.38597	+	3.49770i	−0.225292	+	0.179665i	0.504338	+	0.863506i	$0.331737\pi$
$380$	−0.203337	+	0.272046i	−0.0104310	+	0.0139557i
$381$	13.2498	−	10.5663i	0.678806	−	0.541330i
$382$	−0.165486	+	1.70903i	−0.00846700	+	0.0874413i
$383$	9.06944	−	11.3727i	0.463427	−	0.581119i	−0.494121	−	0.869393i	$-0.664510\pi$
$383$	9.06944	−	11.3727i	0.463427	−	0.581119i	0.957548	+	0.288274i	$0.0930815\pi$
$384$	−11.0237	−	2.54521i	−0.562551	−	0.129885i
$385$	−0.475347	−	0.466828i	−0.0242259	−	0.0237917i
$386$	−14.1273	−	1.36796i	−0.719063	−	0.0696273i
$387$	−2.31404	−	4.80515i	−0.117629	−	0.244260i
$388$	−10.7901	+	5.61935i	−0.547785	+	0.285280i
$389$	23.2981	−	11.2198i	1.18126	−	0.568866i	0.262984	−	0.964800i	$-0.415293\pi$
$389$	23.2981	−	11.2198i	1.18126	−	0.568866i	0.918279	+	0.395934i	$0.129579\pi$
$390$	0.295430	+	0.179236i	0.0149597	+	0.00907598i
$391$	−14.8653			−0.751771
$392$	13.0597	−	14.8810i	0.659614	−	0.751605i
$393$	−0.390732			−0.0197098
$394$	13.3274	+	8.08565i	0.671422	+	0.407349i
$395$	0.269353	−	0.129714i	0.0135526	−	0.00652661i
$396$	9.58270	−	4.99055i	0.481549	−	0.250785i
$397$	−0.931072	−	1.93339i	−0.0467292	−	0.0970341i	0.876297	−	0.481771i	$-0.160006\pi$
$397$	−0.931072	−	1.93339i	−0.0467292	−	0.0970341i	−0.923026	+	0.384737i	$0.874292\pi$
$398$	11.2708	+	1.09136i	0.564953	+	0.0547048i
$399$	9.56799	−	1.16575i	0.478999	−	0.0583606i
$400$	5.66059	+	19.1732i	0.283030	+	0.958658i
$401$	−24.4998	+	30.7218i	−1.22346	+	1.53417i	−0.460611	+	0.887602i	$0.652370\pi$
$401$	−24.4998	+	30.7218i	−1.22346	+	1.53417i	−0.762853	+	0.646573i	$0.776202\pi$
$402$	−1.31153	+	13.5446i	−0.0654133	+	0.675543i
$403$	−25.5474	+	20.3734i	−1.27261	+	1.01487i
$404$	−6.27008	+	8.38879i	−0.311948	+	0.417358i
$405$	−0.0364443	+	0.0290634i	−0.00181093	+	0.00144417i
$406$	4.68030	−	6.17601i	0.232280	−	0.306510i
$407$	34.0035	+	27.1169i	1.68549	+	1.34414i
$408$	−3.01252	−	4.32859i	−0.149142	−	0.214297i
$409$	17.6336	−	4.02476i	0.871928	−	0.199012i	0.236931	−	0.971527i	$-0.423859\pi$
$409$	17.6336	−	4.02476i	0.871928	−	0.199012i	0.634997	+	0.772515i	$0.281001\pi$
$410$	0.249832	−	0.0918388i	0.0123383	−	0.00453560i
$411$	−5.23533			−0.258240
$412$	27.4960	+	20.5515i	1.35463	+	1.01250i
$413$	6.28556	+	6.17291i	0.309292	+	0.303749i
$414$	−11.1830	+	1.43781i	−0.549614	+	0.0706646i
$415$	−0.218219	−	0.0498070i	−0.0107119	−	0.00244493i
$416$	−13.7623	+	26.2648i	−0.674751	+	1.28774i
$417$	7.51458	−	9.42299i	0.367991	−	0.461446i
$418$	27.6054	−	3.54927i	1.35023	−	0.173600i
$419$	0.546483	−	2.39430i	0.0266974	−	0.116969i	−0.959823	−	0.280605i	$-0.909465\pi$
$419$	0.546483	−	2.39430i	0.0266974	−	0.116969i	0.986521	+	0.163636i	$0.0523221\pi$
$420$	−0.122692	+	0.213979i	−0.00598674	+	0.0104411i
$421$	−5.92496	−	25.9589i	−0.288765	−	1.26516i	−0.886222	−	0.463261i	$-0.846679\pi$
$421$	−5.92496	−	25.9589i	−0.288765	−	1.26516i	0.597457	−	0.801901i	$-0.296178\pi$
$422$	1.60844	+	4.37548i	0.0782975	+	0.212995i
$423$	0.596116			0.0289842
$424$	−1.38367	−	0.412286i	−0.0671970	−	0.0200224i
$425$	−4.04320	+	8.39580i	−0.196124	+	0.407256i
$426$	2.51628	+	0.836465i	0.121914	+	0.0405269i
$427$	32.4965	+	3.36423i	1.57262	+	0.162806i
$428$	−2.08101	+	10.6449i	−0.100590	+	0.514540i
$429$	−6.30112	−	27.6070i	−0.304221	−	1.33288i
$430$	0.300589	+	0.182366i	0.0144957	+	0.00879449i
$431$	10.0519	−	20.8729i	0.484181	−	1.00541i	−0.505593	−	0.862772i	$-0.668726\pi$
$431$	10.0519	−	20.8729i	0.484181	−	1.00541i	0.989775	−	0.142641i	$-0.0455593\pi$
$432$	−2.68495	−	2.96497i	−0.129180	−	0.142652i
$433$	−0.810188	−	1.68237i	−0.0389351	−	0.0808497i	0.880594	−	0.473872i	$-0.157144\pi$
$433$	−0.810188	−	1.68237i	−0.0389351	−	0.0808497i	−0.919529	+	0.393022i	$0.871430\pi$
$434$	−14.9890	−	17.8712i	−0.719494	−	0.857846i
$435$	−0.0418868	+	0.0869788i	−0.00200832	+	0.00417031i
$436$	13.7084	−	30.9077i	0.656515	−	1.48021i
$437$	−28.3170	−	6.46317i	−1.35459	−	0.309175i
$438$	9.75404	+	9.45304i	0.466066	+	0.451684i
$439$	−3.20537	−	4.01940i	−0.152984	−	0.191836i	0.699434	−	0.714698i	$-0.253436\pi$
$439$	−3.20537	−	4.01940i	−0.152984	−	0.191836i	−0.852417	+	0.522862i	$0.824864\pi$
$440$	−0.350179	+	0.620217i	−0.0166941	+	0.0295677i
$441$	6.79521	−	1.68079i	0.323582	−	0.0800377i
$442$	−12.9730	+	4.76892i	−0.617064	+	0.226834i
$443$	3.10497	−	2.47613i	0.147522	−	0.117645i	−0.546948	−	0.837167i	$-0.684210\pi$
$443$	3.10497	−	2.47613i	0.147522	−	0.117645i	0.694470	+	0.719522i	$0.255639\pi$
$444$	6.52827	−	14.7190i	0.309818	−	0.698531i
$445$	−0.169852	+	0.744169i	−0.00805175	+	0.0352770i
$446$	−15.4699	+	15.9625i	−0.732520	+	0.755844i
$447$	18.5181	+	8.91784i	0.875876	+	0.421800i
$448$	−18.9852	−	9.35746i	−0.896967	−	0.442098i
$449$	10.3399	−	4.97945i	0.487972	−	0.234995i	−0.173686	−	0.984801i	$-0.555568\pi$
$449$	10.3399	−	4.97945i	0.487972	−	0.234995i	0.661657	+	0.749806i	$0.269853\pi$
$450$	−2.22959	+	6.70712i	−0.105104	+	0.316177i
$451$	−19.6525	−	9.46413i	−0.925399	−	0.445649i
$452$	−26.3621	−	5.15363i	−1.23997	−	0.242406i
$453$	−12.4520	+	2.84209i	−0.585047	+	0.133533i
$454$	17.9206	+	10.8724i	0.841057	+	0.510266i
$455$	0.461233	+	0.452968i	0.0216230	+	0.0212354i
$456$	−3.85657	−	9.55534i	−0.180601	−	0.447470i
$457$	−28.5171	−	13.7331i	−1.33397	−	0.642408i	−0.375297	−	0.926904i	$-0.622459\pi$
$457$	−28.5171	−	13.7331i	−1.33397	−	0.642408i	−0.958677	+	0.284496i	$0.908174\pi$
$458$	−13.7944	+	8.97210i	−0.644568	+	0.419239i
$459$		−	1.86454i		−	0.0870291i
$460$	0.566310	−	0.481407i	0.0264043	−	0.0224457i
$461$	20.9740	−	4.78718i	0.976857	−	0.222961i	0.295847	−	0.955235i	$-0.404398\pi$
$461$	20.9740	−	4.78718i	0.976857	−	0.222961i	0.681010	+	0.732274i	$0.261541\pi$
$462$	19.5891	−	4.98338i	0.911369	−	0.231848i
$463$	−23.9768	−	5.47256i	−1.11430	−	0.254331i	−0.374545	−	0.927209i	$-0.622201\pi$
$463$	−23.9768	−	5.47256i	−1.11430	−	0.254331i	−0.739754	+	0.672877i	$0.765058\pi$
$464$	−7.67423	−	3.11977i	−0.356267	−	0.144831i
$465$	0.227188	+	0.181176i	0.0105356	+	0.00840185i
$466$	−4.73090	+	14.2317i	−0.219155	+	0.659269i
$467$	1.15321	−	5.05255i	0.0533643	−	0.233804i	−0.941212	−	0.337818i	$-0.890311\pi$
$467$	1.15321	−	5.05255i	0.0533643	−	0.233804i	0.994576	+	0.104013i	$0.0331684\pi$
$468$	−9.29819	+	4.84238i	−0.429809	+	0.223839i
$469$	−8.19069	+	24.1046i	−0.378211	+	1.11304i
$470$	−0.0329423	+	0.0214262i	−0.00151951	+	0.000988319i
$471$		−	18.1640i		−	0.836954i
$472$	4.63045	−	8.20120i	0.213134	−	0.377491i
$473$	−6.41116	−	28.0891i	−0.294785	−	1.29154i
$474$	−0.874172	+	9.02785i	−0.0401521	+	0.414663i
$475$	−11.3523	+	14.2353i	−0.520877	+	0.653159i
$476$	−3.63190	−	9.17340i	−0.166468	−	0.420462i
$477$	−0.318264	−	0.399091i	−0.0145723	−	0.0182731i
$478$	−23.6575	+	15.3873i	−1.08207	+	0.703797i
$479$	7.24551	+	9.08558i	0.331056	+	0.415131i	0.919303	−	0.393550i	$-0.128753\pi$
$479$	7.24551	+	9.08558i	0.331056	+	0.415131i	−0.588247	+	0.808681i	$0.700182\pi$
$480$	0.254945	+	0.0673430i	0.0116366	+	0.00307377i
$481$	−32.9940	−	26.3118i	−1.50440	−	1.19972i
$482$	−18.9846	−	18.3987i	−0.864723	−	0.838039i
$483$	−20.9815	−	2.17213i	−0.954693	−	0.0988353i
$484$	35.1841	−	9.19939i	1.59928	−	0.418154i
$485$	0.255466	−	0.123026i	0.0116001	−	0.00558632i
$486$	−0.180343	−	1.40267i	−0.00818052	−	0.0636263i
$487$	−4.05232	−	8.41473i	−0.183628	−	0.381308i	0.788752	−	0.614712i	$-0.210728\pi$
$487$	−4.05232	−	8.41473i	−0.183628	−	0.381308i	−0.972380	+	0.233404i	$0.925013\pi$
$488$	−5.53709	−	34.4842i	−0.250652	−	1.56103i
$489$			1.72823i			0.0781531i
$490$	−0.315101	+	0.337124i	−0.0142348	+	0.0152297i
$491$			28.7183i			1.29604i	0.761623	+	0.648020i	$0.224403\pi$
$491$			28.7183i			1.29604i	−0.761623	+	0.648020i	$0.775597\pi$
$492$	−1.54938	+	7.92547i	−0.0698516	+	0.357308i
$493$	−1.67545	−	3.47910i	−0.0754584	−	0.156691i
$494$	−26.7858	+	3.44389i	−1.20515	+	0.154948i
$495$	−0.226879	+	0.109259i	−0.0101975	+	0.00491084i
$496$	−14.2952	+	20.4308i	−0.641875	+	0.917370i
$497$	4.22414	+	2.60123i	0.189479	+	0.116681i
$498$	4.72595	−	4.87643i	0.211775	−	0.218518i
$499$	−7.47416	−	5.96044i	−0.334589	−	0.266826i	0.441754	−	0.897136i	$-0.354356\pi$
$499$	−7.47416	−	5.96044i	−0.334589	−	0.266826i	−0.776343	+	0.630310i	$0.782928\pi$
$500$	−0.235780	−	0.901764i	−0.0105444	−	0.0403281i
$501$	14.0591	+	17.6295i	0.628112	+	0.787628i
$502$	12.3132	+	18.9313i	0.549567	+	0.844944i
$503$	24.9628	+	31.3024i	1.11304	+	1.39570i	0.909028	+	0.416735i	$0.136826\pi$
$503$	24.9628	+	31.3024i	1.11304	+	1.39570i	0.204008	+	0.978969i	$0.434603\pi$
$504$	−3.61950	−	6.54975i	−0.161226	−	0.291749i
$505$	0.152192	−	0.190842i	0.00677245	−	0.00849238i
$506$	−60.6261	−	5.87046i	−2.69516	−	0.260974i
$507$	3.22126	+	14.1133i	0.143061	+	0.626792i
$508$	−21.9526	−	25.8243i	−0.973991	−	1.14577i
$509$			21.8877i			0.970156i	0.874471	+	0.485078i	$0.161209\pi$
$509$			21.8877i			0.970156i	−0.874471	+	0.485078i	$0.838791\pi$
$510$	0.0670172	+	0.103037i	0.00296757	+	0.00456256i
$511$	13.7138	+	21.3936i	0.606664	+	0.946396i
$512$	−4.39706	+	22.1961i	−0.194324	+	0.980937i
$513$	0.810667	−	3.55176i	0.0357918	−	0.156814i
$514$	−18.9176	−	6.28861i	−0.834420	−	0.277379i
$515$	−0.625527	−	0.498841i	−0.0275640	−	0.0219816i
$516$	−9.46057	+	4.92695i	−0.416478	+	0.216897i
$517$	3.13958	+	0.716588i	0.138079	+	0.0315155i
$518$	18.1941	−	24.0085i	0.799402	−	1.05487i
$519$	15.7733	−	3.60016i	0.692373	−	0.158030i
$520$	0.339782	−	0.601803i	0.0149004	−	0.0263908i
$521$			23.6652i			1.03679i	0.855141	+	0.518395i	$0.173470\pi$
$521$			23.6652i			1.03679i	−0.855141	+	0.518395i	$0.826530\pi$
$522$	−1.59693	−	2.45523i	−0.0698956	−	0.107463i
$523$	13.4207	+	6.46306i	0.586846	+	0.282610i	0.703652	−	0.710545i	$-0.251551\pi$
$523$	13.4207	+	6.46306i	0.586846	+	0.282610i	−0.116806	+	0.993155i	$0.537266\pi$
$524$	0.0244872	+	0.781081i	0.00106973	+	0.0341217i
$525$	−6.93355	+	11.2594i	−0.302605	+	0.491400i
$526$	12.6286	−	20.8153i	0.550632	−	0.907591i
$527$	−11.3318	+	2.58641i	−0.493621	+	0.112666i
$528$	−10.5767	−	18.8432i	−0.460294	−	0.820046i
$529$	36.5463	+	17.5997i	1.58897	+	0.765206i
$530$	0.0319323	+	0.0106150i	0.00138705	+	0.000461085i
$531$	3.00005	−	1.44475i	0.130191	−	0.0626967i
$532$	−2.92999	−	19.0535i	−0.127031	−	0.826075i
$533$	19.0690	+	9.18314i	0.825969	+	0.397766i
$534$	−16.6296	−	16.1164i	−0.719634	−	0.697427i
$535$	0.0562527	−	0.246459i	0.00243201	−	0.0106554i
$536$	27.1581	+	1.77294i	1.17305	+	0.0765792i
$537$	−0.192671	+	0.153650i	−0.00831437	+	0.00663049i
$538$	0.603152	+	1.64077i	0.0260037	+	0.0707388i
$539$	37.8090	−	0.683774i	1.62855	−	0.0294522i
$540$	0.0603822	+	0.0710315i	0.00259844	+	0.00305671i
$541$	16.8716	+	21.1564i	0.725368	+	0.909583i	0.998628	−	0.0523575i	$-0.0166735\pi$
$541$	16.8716	+	21.1564i	0.725368	+	0.909583i	−0.273261	+	0.961940i	$0.588102\pi$
$542$	−8.76358	+	9.04263i	−0.376428	+	0.388414i
$543$	7.27964	+	1.66153i	0.312399	+	0.0713031i
$544$	−8.46414	+	6.29336i	−0.362897	+	0.269826i
$545$	−0.341919	+	0.710002i	−0.0146462	+	0.0304131i
$546$	−19.0075	+	4.83542i	−0.813447	+	0.206937i
$547$	−17.0893	−	35.4864i	−0.730687	−	1.51729i	−0.851352	−	0.524595i	$-0.824217\pi$
$547$	−17.0893	−	35.4864i	−0.730687	−	1.51729i	0.120665	−	0.992693i	$-0.461497\pi$
$548$	0.328098	+	10.4655i	0.0140156	+	0.447065i
$549$	5.35767	−	11.1253i	0.228660	−	0.474817i
$550$	−19.8052	+	32.6444i	−0.844498	+	1.39196i
$551$	−1.67892	−	7.35581i	−0.0715242	−	0.313368i
$552$	3.57505	+	22.2649i	0.152164	+	0.947657i
$553$	−5.45932	+	16.0664i	−0.232154	+	0.683211i
$554$	−1.30776	+	3.93405i	−0.0555614	+	0.167142i
$555$	−0.162829	+	0.338119i	−0.00691173	+	0.0143523i
$556$	−19.3077	−	14.4312i	−0.818827	−	0.612021i
$557$	−16.4411			−0.696631			−0.348315	−	0.937377i	$-0.613246\pi$
$557$	−16.4411			−0.696631			−0.348315	+	0.937377i	$0.613246\pi$
$558$	−8.27460	+	3.04176i	−0.350292	+	0.128768i
$559$	6.22081	+	27.2551i	0.263112	+	1.15277i
$560$	0.435437	+	0.231853i	0.0184006	+	0.00979757i
$561$	2.24135	−	9.82000i	0.0946299	−	0.414601i
$562$	−0.586252	−	4.55974i	−0.0247295	−	0.192341i
$563$	−23.6382	+	29.6414i	−0.996231	+	1.24923i	−0.0278882	+	0.999611i	$0.508878\pi$
$563$	−23.6382	+	29.6414i	−0.996231	+	1.24923i	−0.968343	+	0.249623i	$0.919693\pi$
$564$	−0.0373586	−	1.19165i	−0.00157308	−	0.0501774i
$565$	0.610356	+	0.139310i	0.0256779	+	0.00586080i
$566$	4.35471	+	33.8700i	0.183042	+	1.42366i
$567$	0.272447	−	2.63169i	0.0114417	−	0.110520i
$568$	1.51441	−	5.08252i	0.0635434	−	0.213258i
$569$	−22.9076			−0.960337			−0.480168	−	0.877176i	$-0.659424\pi$
$569$	−22.9076			−0.960337			−0.480168	+	0.877176i	$0.659424\pi$
$570$	0.0828626	+	0.225414i	0.00347073	+	0.00944154i
$571$	−9.81062	+	2.23921i	−0.410562	+	0.0937080i	−0.422813	−	0.906217i	$-0.638957\pi$
$571$	−9.81062	+	2.23921i	−0.410562	+	0.0937080i	0.0122513	+	0.999925i	$0.496100\pi$
$572$	−54.7920	+	14.3262i	−2.29097	+	0.599007i
$573$	0.949234	+	0.756989i	0.0396548	+	0.0316237i
$574$	−6.21673	+	13.7695i	−0.259481	+	0.574729i
$575$	31.1528	−	24.8436i	1.29916	−	1.03605i
$576$	−5.75875	+	5.55309i	−0.239948	+	0.231379i
$577$	−1.75522	+	1.39974i	−0.0730708	+	0.0582720i	−0.659344	−	0.751841i	$-0.729166\pi$
$577$	−1.75522	+	1.39974i	−0.0730708	+	0.0582720i	0.586273	+	0.810113i	$0.300594\pi$
$578$	19.0361	+	1.84328i	0.791797	+	0.0766702i
$579$	−6.25751	+	7.84667i	−0.260053	+	0.326096i
$580$	0.176497	+	0.0782814i	0.00732865	+	0.00325046i
$581$	10.6955	−	6.85609i	0.443724	−	0.284438i
$582$	−0.829101	+	8.56238i	−0.0343673	+	0.354922i
$583$	−1.19646	−	2.48449i	−0.0495525	−	0.102897i
$584$	18.2855	−	20.0909i	0.756660	−	0.831368i
$585$	0.220143	−	0.106015i	0.00910180	−	0.00438320i
$586$	15.7712	−	25.9951i	0.651500	−	1.07385i
$587$	−26.2199			−1.08221			−0.541105	−	0.840955i	$-0.681994\pi$
$587$	−26.2199			−1.08221			−0.541105	+	0.840955i	$0.681994\pi$
$588$	−3.78579	−	13.4784i	−0.156123	−	0.555841i
$589$	−22.7105			−0.935770
$590$	−0.113859	+	0.187670i	−0.00468749	+	0.00772625i
$591$	9.93103	−	4.78253i	0.408508	−	0.196727i
$592$	−29.8326	−	12.1277i	−1.22611	−	0.498445i
$593$	−17.4668	−	36.2702i	−0.717276	−	1.48944i	−0.865726	−	0.500519i	$-0.833143\pi$
$593$	−17.4668	−	36.2702i	−0.717276	−	1.48944i	0.148450	−	0.988920i	$-0.452572\pi$
$594$	0.736325	−	7.60425i	0.0302118	−	0.312006i
$595$	0.0779076	+	0.216352i	0.00319390	+	0.00886958i
$596$	16.6664	−	37.5769i	0.682682	−	1.53921i
$597$	4.99223	−	6.26006i	0.204318	−	0.256207i
$598$	58.8261	+	5.69617i	2.40558	+	0.232934i
$599$	1.44658	−	1.15361i	0.0591057	−	0.0471352i	−0.593491	−	0.804840i	$-0.702251\pi$
$599$	1.44658	−	1.15361i	0.0591057	−	0.0471352i	0.652597	+	0.757705i	$0.273679\pi$
$600$	13.5474	+	4.03665i	0.553070	+	0.164796i
$601$	−22.6368	+	18.0522i	−0.923373	+	0.736365i	−0.964857	−	0.262774i	$-0.915363\pi$
$601$	−22.6368	+	18.0522i	−0.923373	+	0.736365i	0.0414847	+	0.999139i	$0.486791\pi$
$602$	−19.3395	+	4.91987i	−0.788218	+	0.200519i
$603$	7.52300	+	5.99939i	0.306360	+	0.244314i
$604$	6.46176	+	24.7137i	0.262925	+	1.00559i
$605$	−0.826352	+	0.188609i	−0.0335960	+	0.00766806i
$606$	2.55514	+	6.95083i	0.103796	+	0.282358i
$607$	14.8862			0.604213			0.302107	−	0.953274i	$-0.402310\pi$
$607$	14.8862			0.604213			0.302107	+	0.953274i	$0.402310\pi$
$608$	−18.8596	+	8.30819i	−0.764858	+	0.336942i
$609$	−1.85643	−	5.15537i	−0.0752263	−	0.208906i
$610$	0.103805	+	0.807374i	0.00420295	+	0.0326896i
$611$	−3.04636	−	0.695313i	−0.123243	−	0.0281293i
$612$	−3.72724	+	0.116850i	−0.150665	+	0.00472340i
$613$	−17.9532	+	22.5126i	−0.725122	+	0.909275i	−0.998616	−	0.0525992i	$-0.983249\pi$
$613$	−17.9532	+	22.5126i	−0.725122	+	0.909275i	0.273493	+	0.961874i	$0.411821\pi$
$614$	−0.303836	−	2.36317i	−0.0122618	−	0.0953698i
$615$	0.0418820	−	0.183497i	0.00168884	−	0.00739931i
$616$	−11.1895	−	38.8467i	−0.450838	−	1.56518i
$617$	−2.68207	−	11.7509i	−0.107976	−	0.473074i	−0.999786	−	0.0206649i	$-0.993422\pi$
$617$	−2.68207	−	11.7509i	−0.107976	−	0.473074i	0.891810	−	0.452410i	$-0.149435\pi$
$618$	22.7828	−	8.37502i	0.916460	−	0.336893i
$619$	31.9913			1.28584			0.642919	−	0.765934i	$-0.277723\pi$
$619$	31.9913			1.28584			0.642919	+	0.765934i	$0.277723\pi$
$620$	0.347937	−	0.465507i	0.0139735	−	0.0186952i
$621$	−3.45921	+	7.18312i	−0.138813	+	0.288249i
$622$	−12.1928	+	36.6787i	−0.488885	+	1.47068i
$623$	−23.3806	−	36.4738i	−0.936726	−	1.46129i
$624$	10.2627	+	18.2838i	0.410838	+	0.731936i
$625$	−5.55577	−	24.3414i	−0.222231	−	0.973657i
$626$	11.9440	−	19.6870i	0.477379	−	0.786849i
$627$	8.53912	−	17.7317i	0.341020	−	0.708134i
$628$	−36.3102	+	1.13834i	−1.44894	+	0.0454247i
$629$	−6.51309	−	13.5246i	−0.259694	−	0.539260i
$630$	0.0795350	+	0.155224i	0.00316875	+	0.00618426i
$631$	−0.432844	+	0.898809i	−0.0172312	+	0.0357810i	−0.909407	−	0.415908i	$-0.863464\pi$
$631$	−0.432844	+	0.898809i	−0.0172312	+	0.0357810i	0.892176	+	0.451689i	$0.149178\pi$
$632$	18.1016	+	1.18171i	0.720044	+	0.0470059i
$633$	3.21371	+	0.733508i	0.127733	+	0.0291543i
$634$	17.0748	−	17.6184i	0.678125	−	0.699718i
$635$	0.492540	+	0.617625i	0.0195458	+	0.0245097i
$636$	−0.777844	+	0.661227i	−0.0308435	+	0.0262194i
$637$	−36.6864	+	0.663473i	−1.45357	+	0.0262878i
$638$	−5.45915	−	14.8507i	−0.216130	−	0.587944i
$639$	1.46595	−	1.16905i	0.0579919	−	0.0462470i
$640$	0.118642	−	0.513859i	0.00468975	−	0.0203121i
$641$	−1.09975	+	4.81831i	−0.0434374	+	0.190312i	−0.991992	−	0.126303i	$-0.959689\pi$
$641$	−1.09975	+	4.81831i	−0.0434374	+	0.190312i	0.948554	+	0.316614i	$0.102546\pi$
$642$	5.50751	+	5.33755i	0.217364	+	0.210656i
$643$	10.1570	+	4.89137i	0.400555	+	0.192897i	0.623305	−	0.781978i	$-0.285789\pi$
$643$	10.1570	+	4.89137i	0.400555	+	0.192897i	−0.222751	+	0.974875i	$0.571504\pi$
$644$	−3.02721	+	42.0786i	−0.119289	+	1.65813i
$645$	0.223988	−	0.107867i	0.00881951	−	0.00424725i
$646$	−9.11586	−	3.03030i	−0.358659	−	0.119226i
$647$	20.6885	+	9.96305i	0.813349	+	0.391688i	0.793844	−	0.608122i	$-0.208077\pi$
$647$	20.6885	+	9.96305i	0.813349	+	0.391688i	0.0195048	+	0.999810i	$0.493791\pi$
$648$	−2.79266	+	0.448414i	−0.109706	+	0.0176154i
$649$	17.5372	−	4.00274i	0.688394	−	0.157121i
$650$	19.2172	−	31.6752i	0.753761	−	1.24240i
$651$	−16.3721	+	1.99476i	−0.641673	+	0.0781807i
$652$	3.45475	−	0.108308i	0.135299	−	0.00424166i
$653$	−30.0701	−	14.4810i	−1.17673	−	0.566685i	−0.259775	−	0.965669i	$-0.583648\pi$
$653$	−30.0701	−	14.4810i	−1.17673	−	0.566685i	−0.916958	+	0.398985i	$0.869363\pi$
$654$	−13.0356	−	20.0419i	−0.509732	−	0.783700i
$655$		−	0.0182136i		−	0.000711665i
$656$	15.9403	+	2.60056i	0.622362	+	0.101535i
$657$	9.36391	−	2.13725i	0.365321	−	0.0833821i
$658$	0.442442	−	2.18614i	0.0172482	−	0.0852246i
$659$	−16.5044	−	3.76703i	−0.642922	−	0.146743i	−0.111384	−	0.993777i	$-0.535528\pi$
$659$	−16.5044	−	3.76703i	−0.642922	−	0.146743i	−0.531537	+	0.847035i	$0.678386\pi$
$660$	0.232630	+	0.446688i	0.00905510	+	0.0173873i
$661$	−17.1836	−	13.7034i	−0.668364	−	0.533002i	0.229482	−	0.973313i	$-0.426297\pi$
$661$	−17.1836	−	13.7034i	−0.668364	−	0.533002i	−0.897845	+	0.440311i	$0.854868\pi$
$662$	−21.6096	−	7.18348i	−0.839881	−	0.279194i
$663$	−2.17481	+	9.52845i	−0.0844625	+	0.370054i
$664$	−10.0443	−	9.14165i	−0.389792	−	0.354765i
$665$	0.0543405	+	0.446003i	0.00210723	+	0.0172953i
$666$	−6.20785	−	9.54440i	−0.240549	−	0.369838i
$667$			16.5116i			0.639332i
$668$	34.3606	−	29.2091i	1.32945	−	1.13014i
$669$	3.49760	+	15.3240i	0.135225	+	0.592460i
$670$	−0.631369	−	0.0611358i	−0.0243919	−	0.00236188i
$671$	41.5911	−	52.1536i	1.60561	−	2.01337i
$672$	−12.8662	+	7.64593i	−0.496325	+	0.294948i
$673$	−13.2490	−	16.6138i	−0.510713	−	0.640414i	0.457895	−	0.889006i	$-0.348604\pi$
$673$	−13.2490	−	16.6138i	−0.510713	−	0.640414i	−0.968608	+	0.248592i	$0.920032\pi$
$674$	24.9289	+	38.3276i	0.960227	+	1.47632i
$675$	3.11609	+	3.90746i	0.119939	+	0.150398i
$676$	28.0108	−	7.32384i	1.07734	−	0.281686i
$677$	4.67935	+	3.73166i	0.179842	+	0.143419i	0.709273	−	0.704934i	$-0.249023\pi$
$677$	4.67935	+	3.73166i	0.179842	+	0.143419i	−0.529431	+	0.848353i	$0.677595\pi$
$678$	−13.2184	+	13.6393i	−0.507651	+	0.523816i
$679$	−5.17784	+	15.2380i	−0.198707	+	0.584780i
$680$	0.201773	−	0.140426i	0.00773765	−	0.00538509i
$681$	13.3538	−	6.43084i	0.511718	−	0.246430i
$682$	−47.2366	+	6.07326i	−1.80878	+	0.232557i
$683$	−7.36978	−	15.3035i	−0.281997	−	0.585573i	0.711070	−	0.703121i	$-0.248211\pi$
$683$	−7.36978	−	15.3035i	−0.281997	−	0.585573i	−0.993067	+	0.117548i	$0.962496\pi$
$684$	−7.15084	−	1.39795i	−0.273419	−	0.0534519i
$685$		−	0.244040i		−	0.00932429i
$686$	−1.12052	−	26.1676i	−0.0427815	−	0.999084i
$687$			11.6358i			0.443933i
$688$	10.4419	+	18.6031i	0.398096	+	0.709236i
$689$	1.16094	+	2.41072i	0.0442284	+	0.0918411i
$690$	−0.0670222	−	0.521285i	−0.00255149	−	0.0198450i
$691$	45.7148	−	22.0151i	1.73907	−	0.837494i	0.755933	−	0.654649i	$-0.227184\pi$
$691$	45.7148	−	22.0151i	1.73907	−	0.837494i	0.983142	−	0.182845i	$-0.0585306\pi$
$692$	−8.18530	−	31.3056i	−0.311158	−	1.19006i
$693$	4.59844	−	13.5329i	0.174680	−	0.514071i
$694$	23.2869	+	22.5682i	0.883957	+	0.856679i
$695$	0.439244	+	0.350285i	0.0166615	+	0.0132871i
$696$	−4.80797	+	3.34615i	−0.182246	+	0.126836i
$697$	4.69396	+	5.88604i	0.177797	+	0.222950i
$698$	20.1264	−	13.0906i	0.761796	−	0.495485i
$699$	6.61196	+	8.29113i	0.250087	+	0.313599i
$700$	22.9422	+	13.1547i	0.867135	+	0.497199i
$701$	23.1859	−	29.0742i	0.875719	−	1.09812i	−0.118733	−	0.992926i	$-0.537883\pi$
$701$	23.1859	−	29.0742i	0.875719	−	1.09812i	0.994452	−	0.105191i	$-0.0335453\pi$
$702$	−0.714463	+	7.37848i	−0.0269657	+	0.278483i
$703$	−6.52657	−	28.5948i	−0.246154	−	1.07847i
$704$	−37.0051	+	22.3240i	−1.39468	+	0.841368i
$705$			0.0277874i			0.00104653i
$706$	32.8183	−	21.3456i	1.23513	−	0.803353i
$707$	1.67564	+	13.7529i	0.0630188	+	0.517231i
$708$	−3.07609	−	5.90661i	−0.115607	−	0.221984i
$709$	0.372392	−	1.63155i	0.0139855	−	0.0612743i	−0.967454	−	0.253048i	$-0.918567\pi$
$709$	0.372392	−	1.63155i	0.0139855	−	0.0612743i	0.981439	+	0.191774i	$0.0614240\pi$
$710$	−0.0389910	+	0.117294i	−0.00146331	+	0.00440197i
$711$	5.01428	+	3.99876i	0.188050	+	0.149965i
$712$	−31.1749	+	34.2529i	−1.16833	+	1.28368i
$713$	48.4541	+	11.0593i	1.81462	+	0.414176i
$714$	−6.83783	−	1.38387i	−0.255899	−	0.0517902i
$715$	1.28687	−	0.293721i	0.0481264	−	0.0109845i
$716$	0.319224	+	0.375523i	0.0119299	+	0.0140340i
$717$			19.9555i			0.745253i
$718$	34.8452	−	22.6639i	1.30041	−	0.845810i
$719$	−22.6809	−	10.9226i	−0.845856	−	0.407343i	−0.0398186	−	0.999207i	$-0.512678\pi$
$719$	−22.6809	−	10.9226i	−0.845856	−	0.407343i	−0.806038	+	0.591864i	$0.798392\pi$
$720$	0.138209	−	0.125157i	0.00515075	−	0.00466431i
$721$	45.0781	−	5.49226i	1.67879	−	0.204542i
$722$	6.92542	+	4.20163i	0.257738	+	0.156368i
$723$	−18.2252	+	4.15979i	−0.677804	+	0.154704i
$724$	2.86521	−	14.6563i	0.106485	−	0.544695i
$725$	9.32562	+	4.49098i	0.346345	+	0.166791i
$726$	8.11183	−	24.4023i	0.301058	−	0.905654i
$727$	6.48005	−	3.12063i	0.240332	−	0.115738i	−0.309842	−	0.950788i	$-0.600276\pi$
$727$	6.48005	−	3.12063i	0.240332	−	0.115738i	0.550173	+	0.835051i	$0.314562\pi$
$728$	10.8573	+	37.6933i	0.402398	+	1.39701i
$729$	−0.900969	−	0.433884i	−0.0333692	−	0.0160698i
$730$	−0.440644	+	0.454675i	−0.0163090	+	0.0168283i
$731$	−2.21279	+	9.69485i	−0.0818429	+	0.358577i
$732$	−22.5755	−	10.0129i	−0.834414	−	0.370086i
$733$	−15.3744	+	12.2607i	−0.567868	+	0.452859i	−0.864855	−	0.502022i	$-0.832590\pi$
$733$	−15.3744	+	12.2607i	−0.567868	+	0.452859i	0.296987	+	0.954881i	$0.404018\pi$
$734$	−7.64034	+	2.80861i	−0.282010	+	0.103668i
$735$	0.0783486	+	0.316753i	0.00288993	+	0.0116836i
$736$	44.2839	−	8.54193i	1.63232	−	0.314860i
$737$	32.4097	+	40.6405i	1.19383	+	1.49701i
$738$	4.10052	+	3.97398i	0.150942	+	0.146284i
$739$	24.7658	+	5.65262i	0.911023	+	0.207935i	0.652251	−	0.758003i	$-0.273825\pi$
$739$	24.7658	+	5.65262i	0.911023	+	0.207935i	0.258772	+	0.965938i	$0.416682\pi$
$740$	0.686110	+	0.304309i	0.0252219	+	0.0111866i
$741$	−8.28559	+	17.2052i	−0.304379	+	0.632049i
$742$	−1.69981	+	0.870964i	−0.0624018	+	0.0319741i
$743$	17.6325	+	36.6143i	0.646874	+	1.34325i	0.923992	+	0.382413i	$0.124907\pi$
$743$	17.6325	+	36.6143i	0.646874	+	1.34325i	−0.277117	+	0.960836i	$0.589379\pi$
$744$	6.59911	+	16.3505i	0.241935	+	0.599437i
$745$	−0.415697	+	0.863204i	−0.0152300	+	0.0316253i
$746$	−20.3064	−	12.3198i	−0.743470	−	0.451060i
$747$	−1.06850	−	4.68139i	−0.0390942	−	0.171283i
$748$	−19.7708	−	3.86508i	−0.722893	−	0.141321i
$749$	7.74336	+	12.0796i	0.282936	+	0.441381i
$750$	−0.625428	−	0.207905i	−0.0228374	−	0.00759163i
$751$	−11.5481	+	23.9798i	−0.421396	+	0.875037i	0.576908	+	0.816809i	$0.304259\pi$
$751$	−11.5481	+	23.9798i	−0.421396	+	0.875037i	−0.998303	+	0.0582276i	$0.981455\pi$
$752$	−2.37978	+	0.149361i	−0.0867817	+	0.00544663i
$753$	15.9689			0.581938
$754$	5.29706	+	14.4098i	0.192908	+	0.524773i
$755$	−0.132481	−	0.580439i	−0.00482149	−	0.0211243i
$756$	−5.27786	−	0.379699i	−0.191954	−	0.0138095i
$757$	−6.96186	+	30.5019i	−0.253033	+	1.10861i	0.675500	+	0.737360i	$0.263928\pi$
$757$	−6.96186	+	30.5019i	−0.253033	+	1.10861i	−0.928533	+	0.371250i	$0.878929\pi$
$758$	7.86878	−	1.01170i	0.285807	−	0.0367466i
$759$	−26.8535	+	33.6732i	−0.974720	+	1.22226i
$760$	0.445413	−	0.179771i	0.0161568	−	0.00652096i
$761$	8.29894	+	1.89418i	0.300836	+	0.0686639i	0.370275	−	0.928922i	$-0.379264\pi$
$761$	8.29894	+	1.89418i	0.300836	+	0.0686639i	−0.0694384	+	0.997586i	$0.522121\pi$
$762$	−23.7711	+	3.05628i	−0.861137	+	0.110717i
$763$	−15.1539	−	42.0829i	−0.548608	−	1.52350i
$764$	1.45375	−	1.94498i	0.0525947	−	0.0703668i
$765$	0.0869137			0.00314237
$766$	−19.3083	+	7.09776i	−0.697636	+	0.256453i
$767$	−17.0165	+	3.88390i	−0.614429	+	0.140239i
$768$	11.4616	+	11.1638i	0.413586	+	0.402840i
$769$	−1.66663	−	1.32909i	−0.0601002	−	0.0479283i	0.592979	−	0.805218i	$-0.297952\pi$
$769$	−1.66663	−	1.32909i	−0.0601002	−	0.0479283i	−0.653079	+	0.757290i	$0.726523\pi$
$770$	0.232296	+	0.913129i	0.00837135	+	0.0329069i
$771$	−11.0211	+	8.78903i	−0.396915	+	0.316529i
$772$	16.0778	+	12.0171i	0.578652	+	0.432506i
$773$	30.6234	−	24.4214i	1.10145	−	0.878376i	0.108171	−	0.994132i	$-0.465501\pi$
$773$	30.6234	−	24.4214i	1.10145	−	0.878376i	0.993278	+	0.115757i	$0.0369293\pi$
$774$	−0.726940	+	7.50734i	−0.0261293	+	0.269846i
$775$	19.4252	−	24.3585i	0.697774	−	0.874981i
$776$	17.1683	+	1.12078i	0.616307	+	0.0402338i
$777$	−7.21663	−	20.0408i	−0.258895	−	0.718961i
$778$	−36.3999	−	3.52462i	−1.30500	−	0.126364i
$779$	6.38240	+	13.2532i	0.228673	+	0.474845i
$780$	−0.225723	−	0.433426i	−0.00808218	−	0.0155191i
$781$	9.12604	−	4.39487i	0.326555	−	0.157261i
$782$	17.9735	+	10.9045i	0.642732	+	0.389943i
$783$	−2.07103			−0.0740126
$784$	−26.7063	+	8.41255i	−0.953798	+	0.300448i
$785$	0.846699			0.0302200
$786$	0.472431	+	0.286622i	0.0168511	+	0.0102235i
$787$	18.9556	−	9.12855i	0.675695	−	0.325398i	−0.0643766	−	0.997926i	$-0.520506\pi$
$787$	18.9556	−	9.12855i	0.675695	−	0.325398i	0.740072	+	0.672528i	$0.234792\pi$
$788$	−10.1827	−	19.5526i	−0.362745	−	0.696532i
$789$	−7.46959	−	15.5108i	−0.265925	−	0.552198i
$790$	−0.420825	−	0.0407487i	−0.0149723	−	0.00144977i
$791$	−29.9152	+	19.1764i	−1.06366	+	0.681835i
$792$	−15.2472	−	0.995368i	−0.541785	−	0.0353689i
$793$	−40.3563	+	50.6051i	−1.43309	+	1.79704i
$794$	−0.292490	+	3.02064i	−0.0103801	+	0.107198i
$795$	0.0186032	−	0.0148356i	0.000659789	−	0.000526164i
$796$	−12.8268	−	9.58724i	−0.454635	−	0.339811i
$797$	15.5029	−	12.3631i	0.549141	−	0.437925i	−0.309206	−	0.950995i	$-0.600063\pi$
$797$	15.5029	−	12.3631i	0.549141	−	0.437925i	0.858347	+	0.513070i	$0.171492\pi$
$798$	−12.4237	−	5.60911i	−0.439795	−	0.198560i
$799$	−0.868991	−	0.692997i	−0.0307427	−	0.0245165i
$800$	7.22032	−	27.3344i	0.255277	−	0.966418i
$801$	−15.9645	+	3.64379i	−0.564077	+	0.128747i
$802$	52.1586	−	19.1736i	1.84178	−	0.677044i
$803$	51.8863			1.83103
$804$	11.5214	−	15.4146i	0.406329	−	0.543630i
$805$	0.101252	−	0.978034i	0.00356865	−	0.0344712i
$806$	45.8341	−	5.89295i	1.61444	−	0.207570i
$807$	1.20512	+	0.275060i	0.0424221	+	0.00968257i
$808$	13.7347	−	5.54338i	0.483185	−	0.195016i
$809$	17.7158	−	22.2149i	0.622855	−	0.781035i	−0.365888	−	0.930659i	$-0.619235\pi$
$809$	17.7158	−	22.2149i	0.622855	−	0.781035i	0.988743	+	0.149624i	$0.0478062\pi$
$810$	0.0653840	−	0.00840651i	0.00229736	−	0.000295375i
$811$	2.47392	−	10.8389i	0.0868710	−	0.380607i	−0.912739	−	0.408544i	$-0.866037\pi$
$811$	2.47392	−	10.8389i	0.0868710	−	0.380607i	0.999610	+	0.0279372i	$0.00889385\pi$
$812$	−10.1893	+	4.03412i	−0.357576	+	0.141570i
$813$	1.98137	+	8.68095i	0.0694897	+	0.304454i
$814$	−21.2217	−	57.7302i	−0.743822	−	2.02344i
$815$	−0.0805596			−0.00282188
$816$	0.467172	+	7.44350i	0.0163543	+	0.260575i
$817$	−8.43029	+	17.5057i	−0.294939	+	0.612446i
$818$	−24.2731	−	8.06887i	−0.848688	−	0.282122i
$819$	−4.46191	+	13.1311i	−0.155912	+	0.458837i
$820$	−0.369438	−	0.0722231i	−0.0129013	−	0.00252214i
$821$	−3.26155	−	14.2898i	−0.113829	−	0.498717i	−0.999414	−	0.0342391i	$-0.989099\pi$
$821$	−3.26155	−	14.2898i	−0.113829	−	0.498717i	0.885585	−	0.464478i	$-0.153758\pi$
$822$	6.32999	+	3.84038i	0.220784	+	0.133949i
$823$	−8.51063	+	17.6725i	−0.296662	+	0.616025i	−0.995015	−	0.0997290i	$-0.968202\pi$
$823$	−8.51063	+	17.6725i	−0.296662	+	0.616025i	0.698353	+	0.715754i	$0.253917\pi$
$824$	−18.1696	−	45.0184i	−0.632969	−	1.56829i
$825$	11.7145	+	24.3253i	0.407846	+	0.846900i
$826$	−3.07167	−	12.0744i	−0.106877	−	0.420122i
$827$	9.66170	−	20.0627i	0.335970	−	0.697650i	−0.662717	−	0.748870i	$-0.730597\pi$
$827$	9.66170	−	20.0627i	0.335970	−	0.697650i	0.998687	+	0.0512202i	$0.0163110\pi$
$828$	14.5760	+	6.46485i	0.506550	+	0.224669i
$829$	−8.98641	−	2.05109i	−0.312111	−	0.0712373i	0.0635963	−	0.997976i	$-0.479743\pi$
$829$	−8.98641	−	2.05109i	−0.312111	−	0.0712373i	−0.375707	+	0.926738i	$0.622600\pi$
$830$	0.227310	+	0.220296i	0.00789006	+	0.00764658i
$831$	1.82774	+	2.29191i	0.0634036	+	0.0795055i
$832$	35.9064	−	21.6612i	1.24483	−	0.750967i
$833$	−11.8597	−	5.44939i	−0.410914	−	0.188810i
$834$	−15.9981	+	5.88092i	−0.553968	+	0.203640i
$835$	−0.821782	+	0.655350i	−0.0284389	+	0.0226793i
$836$	−35.9811	−	15.9586i	−1.24443	−	0.551940i
$837$	−1.38716	+	6.07754i	−0.0479472	+	0.210071i
$838$	−2.41709	+	2.49405i	−0.0834969	+	0.0861556i
$839$	15.2003	+	7.32006i	0.524772	+	0.252717i	0.677462	−	0.735557i	$-0.263080\pi$
$839$	15.2003	+	7.32006i	0.524772	+	0.252717i	−0.152691	+	0.988274i	$0.548794\pi$
$840$	0.305310	−	0.168720i	0.0105342	−	0.00582139i
$841$	22.2637	−	10.7216i	0.767713	−	0.369711i
$842$	−11.8784	+	35.7330i	−0.409357	+	1.23144i
$843$	−2.92884	−	1.41045i	−0.100875	−	0.0485786i
$844$	1.26489	−	6.47023i	0.0435394	−	0.222714i
$845$	−0.657877	+	0.150156i	−0.0226317	+	0.00516553i
$846$	−0.720759	−	0.437282i	−0.0247802	−	0.0150341i
$847$	25.2261	−	40.9646i	0.866778	−	1.40756i
$848$	1.37055	+	1.51348i	0.0470649	+	0.0519733i
$849$	21.7556	+	10.4769i	0.746649	+	0.359567i
$850$	11.0474	−	7.18539i	0.378921	−	0.246457i
$851$			64.1868i			2.20030i
$852$	−2.42883	−	2.85719i	−0.0832102	−	0.0978856i
$853$	−18.4617	+	4.21376i	−0.632117	+	0.144277i	−0.526562	−	0.850137i	$-0.676519\pi$
$853$	−18.4617	+	4.21376i	−0.632117	+	0.144277i	−0.105555	+	0.994413i	$0.533662\pi$
$854$	−36.8235	−	27.9055i	−1.26007	−	0.954908i
$855$	0.165562	+	0.0377885i	0.00566211	+	0.00129234i
$856$	10.3247	−	11.3441i	0.352891	−	0.387734i
$857$	−10.1402	−	8.08654i	−0.346383	−	0.276231i	0.434808	−	0.900523i	$-0.356816\pi$
$857$	−10.1402	−	8.08654i	−0.346383	−	0.276231i	−0.781191	+	0.624292i	$0.785388\pi$
$858$	−12.6325	+	38.0016i	−0.431267	+	1.29735i
$859$	6.47302	−	28.3602i	0.220857	−	0.967637i	−0.735978	−	0.677005i	$-0.763277\pi$
$859$	6.47302	−	28.3602i	0.220857	−	0.967637i	0.956835	−	0.290632i	$-0.0938654\pi$
$860$	−0.229665	−	0.440995i	−0.00783151	−	0.0150378i
$861$	5.76519	+	8.99369i	0.196477	+	0.306504i
$862$	−27.4650	+	17.8637i	−0.935461	+	0.608440i
$863$			5.24143i			0.178420i	0.996013	+	0.0892101i	$0.0284343\pi$
$863$			5.24143i			0.178420i	−0.996013	+	0.0892101i	$0.971566\pi$
$864$	1.07140	+	5.55447i	0.0364499	+	0.188967i
$865$	0.167818	+	0.735259i	0.00570599	+	0.0249996i
$866$	−0.254515	+	2.62846i	−0.00864878	+	0.0893186i
$867$	8.43176	−	10.5731i	0.286358	−	0.359081i
$868$	5.01360	+	32.6031i	0.170173	+	1.10662i
$869$	21.6020	+	27.0880i	0.732796	+	0.918898i
$870$	0.114448	−	0.0744392i	0.00388016	−	0.00252373i
$871$	−31.4475	−	39.4339i	−1.06556	−	1.33617i
$872$	−39.2472	+	27.3144i	−1.32908	+	0.924983i
$873$	4.75575	+	3.79259i	0.160958	+	0.128360i
$874$	29.4968	+	28.5865i	0.997743	+	0.966954i
$875$	−1.04992	−	0.646542i	−0.0354938	−	0.0218571i
$876$	−4.85924	−	18.5847i	−0.164178	−	0.627918i
$877$	−35.0391	+	16.8739i	−1.18319	+	0.569792i	−0.918838	−	0.394635i	$-0.870871\pi$
$877$	−35.0391	+	16.8739i	−1.18319	+	0.569792i	−0.264348	+	0.964427i	$0.585157\pi$
$878$	0.927144	+	7.21113i	0.0312896	+	0.243364i
$879$	−9.32838	−	19.3706i	−0.314638	−	0.653354i
$880$	0.878359	−	0.493025i	0.0296095	−	0.0166199i
$881$			33.8683i			1.14105i	0.821279	+	0.570526i	$0.193261\pi$
$881$			33.8683i			1.14105i	−0.821279	+	0.570526i	$0.806739\pi$
$882$	−9.44898	−	2.95241i	−0.318164	−	0.0994127i
$883$			41.3383i			1.39114i	0.718457	+	0.695571i	$0.244849\pi$
$883$			41.3383i			1.39114i	−0.718457	+	0.695571i	$0.755151\pi$
$884$	19.1838	+	3.75033i	0.645222	+	0.126137i
$885$	0.0673456	+	0.139844i	0.00226380	+	0.00470082i
$886$	−5.57057	+	0.716215i	−0.187147	+	0.0240617i
$887$	2.47038	−	1.18967i	0.0829474	−	0.0399454i	−0.391950	−	0.919986i	$-0.628199\pi$
$887$	2.47038	−	1.18967i	0.0829474	−	0.0399454i	0.474897	+	0.880041i	$0.342485\pi$
$888$	−18.6904	+	13.0077i	−0.627208	+	0.436511i
$889$	−44.5994	−	4.61719i	−1.49582	−	0.154855i
$890$	0.751253	−	0.775174i	0.0251821	−	0.0259839i
$891$	−4.22358	−	3.36820i	−0.141495	−	0.112839i
$892$	30.4138	−	7.95213i	1.01833	−	0.266257i
$893$	−1.35404	−	1.69791i	−0.0453113	−	0.0568185i
$894$	−15.8484	−	24.3665i	−0.530049	−	0.814936i
$895$	−0.00716225	−	0.00898118i	−0.000239408	−	0.000300208i
$896$	16.0907	+	25.2406i	0.537552	+	0.843231i
$897$	26.0562	−	32.6734i	0.869991	−	1.09093i
$898$	−16.1546	−	1.56426i	−0.539086	−	0.0522001i
$899$	2.87285	+	12.5868i	0.0958149	+	0.419792i
$900$	7.61579	−	6.47401i	0.253860	−	0.215800i
$901$			0.951765i			0.0317079i
$902$	16.8192	+	25.8591i	0.560018	+	0.861014i
$903$	−4.53984	+	13.3604i	−0.151076	+	0.444606i
$904$	28.0937	+	25.5691i	0.934382	+	0.850417i
$905$	−0.0774506	+	0.339333i	−0.00257455	+	0.0112798i
$906$	17.1404	+	5.69784i	0.569453	+	0.189298i
$907$	22.9412	+	18.2950i	0.761750	+	0.607476i	0.925378	−	0.379047i	$-0.123748\pi$
$907$	22.9412	+	18.2950i	0.761750	+	0.607476i	−0.163627	+	0.986522i	$0.552319\pi$
$908$	−13.6922	−	26.2914i	−0.454393	−	0.872511i
$909$	5.10525	+	1.16524i	0.169331	+	0.0386486i
$910$	−0.225399	−	0.886018i	−0.00747189	−	0.0293712i
$911$	10.5414	−	2.40601i	0.349252	−	0.0797146i	−0.0442961	−	0.999018i	$-0.514104\pi$
$911$	10.5414	−	2.40601i	0.349252	−	0.0797146i	0.393548	+	0.919304i	$0.371247\pi$
$912$	−2.34638	+	14.3823i	−0.0776965	+	0.476245i
$913$		−	25.9400i		−	0.858490i
$914$	24.4059	+	37.5234i	0.807274	+	1.24116i
$915$	0.518597	+	0.249743i	0.0171443	+	0.00825625i
$916$	23.2601	−	0.729214i	0.768537	−	0.0240939i
$917$	0.737573	+	0.724354i	0.0243568	+	0.0239203i
$918$	−1.36773	+	2.25440i	−0.0451419	+	0.0744062i
$919$	−13.8788	+	3.16776i	−0.457821	+	0.104495i	−0.445211	−	0.895426i	$-0.646871\pi$
$919$	−13.8788	+	3.16776i	−0.457821	+	0.104495i	−0.0126102	+	0.999920i	$0.504014\pi$
$920$	−1.03786	+	0.166648i	−0.0342171	+	0.00549421i
$921$	−1.51792	−	0.730994i	−0.0500173	−	0.0240871i
$922$	−28.8711	−	9.59737i	−0.950820	−	0.316073i
$923$	−8.85509	+	4.26439i	−0.291469	+	0.140364i
$924$	−27.3406	−	8.34427i	−0.899440	−	0.274506i
$925$	36.2522	+	17.4581i	1.19196	+	0.574019i
$926$	24.9758	+	24.2051i	0.820756	+	0.795428i
$927$	3.81933	−	16.7336i	0.125443	−	0.549602i
$928$	6.99034	+	9.40152i	0.229469	+	0.308620i
$929$	−31.2391	+	24.9124i	−1.02492	+	0.817348i	−0.983338	−	0.181787i	$-0.941812\pi$
$929$	−31.2391	+	24.9124i	−1.02492	+	0.817348i	−0.0415841	+	0.999135i	$0.513240\pi$
$930$	−0.141789	−	0.385713i	−0.00464944	−	0.0126480i
$931$	−20.2223	−	15.5369i	−0.662759	−	0.509203i
$932$	16.1598	−	13.7370i	0.529330	−	0.449971i
$933$	17.0407	+	21.3684i	0.557889	+	0.699570i
$934$	−5.10065	+	5.26306i	−0.166898	+	0.172213i
$935$	0.457750	+	0.104479i	0.0149700	+	0.00341681i
$936$	14.7945	+	0.965815i	0.483573	+	0.0315687i
$937$	11.3200	−	23.5062i	0.369808	−	0.767915i	−0.630155	−	0.776469i	$-0.717009\pi$
$937$	11.3200	−	23.5062i	0.369808	−	0.767915i	0.999963	+	0.00855429i	$0.00272295\pi$
$938$	27.5852	−	23.1363i	0.900689	−	0.755428i
$939$	−7.06469	−	14.6700i	−0.230547	−	0.478737i
$940$	0.0555475	−	0.00174143i	0.00181176	−	5.67993e-5i
$941$	23.3779	−	48.5446i	0.762096	−	1.58251i	−0.0498356	−	0.998757i	$-0.515870\pi$
$941$	23.3779	−	48.5446i	0.762096	−	1.58251i	0.811932	−	0.583752i	$-0.198416\pi$
$942$	−13.3242	+	21.9620i	−0.434127	+	0.715560i
$943$	−7.16330	−	31.3845i	−0.233269	−	1.02202i
$944$	−11.6146	+	6.51932i	−0.378024	+	0.212186i
$945$	0.122674	+	0.0126999i	0.00399057	+	0.000413127i
$946$	−12.8531	+	38.6652i	−0.417891	+	1.25712i
$947$	8.54004	−	17.7336i	0.277514	−	0.576264i	−0.714897	−	0.699230i	$-0.753526\pi$
$947$	8.54004	−	17.7336i	0.277514	−	0.576264i	0.992411	+	0.122966i	$0.0392407\pi$
$948$	7.67934	−	10.2742i	0.249414	−	0.333692i
$949$	−50.3458			−1.63429
$950$	24.1682	−	8.88429i	0.784121	−	0.288245i
$951$	−3.86046	−	16.9138i	−0.125184	−	0.548466i
$952$	−2.33786	+	13.7557i	−0.0757706	+	0.445824i
$953$	5.51281	−	24.1532i	0.178577	−	0.782399i	−0.803710	−	0.595021i	$-0.797144\pi$
$953$	5.51281	−	24.1532i	0.178577	−	0.782399i	0.982288	−	0.187378i	$-0.0599990\pi$
$954$	0.0920571	+	0.716000i	0.00298046	+	0.0231814i
$955$	−0.0352863	+	0.0442476i	−0.00114184	+	0.00143182i
$956$	39.8915	−	1.25061i	1.29018	−	0.0404477i
$957$	−10.9075	−	2.48958i	−0.352591	−	0.0804766i
$958$	−2.09574	−	16.3002i	−0.0677104	−	0.526637i
$959$	9.88256	+	9.70545i	0.319125	+	0.313405i
$960$	−0.258852	−	0.268439i	−0.00835441	−	0.00866383i
$961$	7.86070			0.253571
$962$	20.5917	+	56.0161i	0.663902	+	1.80603i
$963$	5.28722	−	1.20677i	0.170378	−	0.0388878i
$964$	9.45768	+	36.1719i	0.304611	+	1.16502i
$965$	−0.365765	−	0.291688i	−0.0117744	−	0.00938977i
$966$	23.7752	+	18.0173i	0.764955	+	0.579698i
$967$	10.3241	−	8.23316i	0.331999	−	0.264761i	−0.443275	−	0.896386i	$-0.646183\pi$
$967$	10.3241	−	8.23316i	0.331999	−	0.264761i	0.775274	+	0.631625i	$0.217612\pi$
$968$	−49.2890	−	14.6864i	−1.58421	−	0.472039i
$969$	−5.31075	+	4.23518i	−0.170606	+	0.136054i
$970$	−0.399127	−	0.0386478i	−0.0128152	−	0.00124090i
$971$	−34.8290	+	43.6742i	−1.11771	+	1.40157i	−0.212215	+	0.977223i	$0.568068\pi$
$971$	−34.8290	+	43.6742i	−1.11771	+	1.40157i	−0.905499	+	0.424347i	$0.860504\pi$
$972$	−0.810878	+	1.82824i	−0.0260089	+	0.0586410i
$973$	−31.6537	+	3.85665i	−1.01477	+	0.123639i
$974$	−1.27301	+	13.1468i	−0.0407898	+	0.421249i
$975$	−11.3667	−	23.6031i	−0.364025	−	0.755905i
$976$	−18.6011	+	45.7563i	−0.595406	+	1.46462i
$977$	10.9677	−	5.28175i	0.350887	−	0.168978i	−0.250135	−	0.968211i	$-0.580475\pi$
$977$	10.9677	−	5.28175i	0.350887	−	0.168978i	0.601022	+	0.799233i	$0.294761\pi$
$978$	1.26774	−	2.08958i	0.0405379	−	0.0668175i
$979$	−88.4607			−2.82722
$980$	0.628284	−	0.176471i	0.0200698	−	0.00563716i
$981$	−16.9057			−0.539757
$982$	21.0664	−	34.7231i	0.672255	−	1.10806i
$983$	12.9697	−	6.24590i	0.413671	−	0.199213i	−0.215460	−	0.976513i	$-0.569125\pi$
$983$	12.9697	−	6.24590i	0.413671	−	0.199213i	0.629131	+	0.777299i	$0.283411\pi$
$984$	7.68709	−	8.44607i	0.245055	−	0.269251i
$985$	0.222933	+	0.462926i	0.00710325	+	0.0147500i
$986$	−0.526331	+	5.43558i	−0.0167618	+	0.173104i
$987$	−1.12527	−	1.10510i	−0.0358177	−	0.0351758i
$988$	34.9128	+	15.4848i	1.11072	+	0.492637i
$989$	26.5112	−	33.2440i	0.843008	−	1.05710i
$990$	0.354465	+	0.0343231i	0.0112656	+	0.00109086i
$991$	−5.68457	+	4.53329i	−0.180576	+	0.144005i	−0.709607	−	0.704598i	$-0.751127\pi$
$991$	−5.68457	+	4.53329i	−0.180576	+	0.144005i	0.529030	+	0.848603i	$0.322556\pi$
$992$	32.2713	−	14.2164i	1.02461	−	0.451372i
$993$	−12.5894	+	10.0397i	−0.399512	+	0.318600i
$994$	−3.19924	−	6.24375i	−0.101474	−	0.198040i
$995$	0.291807	+	0.232708i	0.00925090	+	0.00737735i
$996$	−9.29122	+	2.42933i	−0.294404	+	0.0769762i
$997$	23.8687	−	5.44788i	0.755929	−	0.172536i	0.172847	−	0.984949i	$-0.444703\pi$
$997$	23.8687	−	5.44788i	0.755929	−	0.172536i	0.583083	+	0.812413i	$0.301846\pi$
$998$	4.66465	+	12.6894i	0.147657	+	0.401676i
$999$	−8.05087			−0.254718

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.139.5	yes	168
4.3	odd	2		588.2.x.b.139.11	yes	168
49.6	odd	14		588.2.x.b.55.11	yes	168
196.55	even	14	inner	588.2.x.a.55.5	✓	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.5	✓	168	196.55	even	14	inner
588.2.x.a.139.5	yes	168	1.1	even	1	trivial
588.2.x.b.55.11	yes	168	49.6	odd	14
588.2.x.b.139.11	yes	168	4.3	odd	2

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.20909 - 0.733551i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(0.923805 + 1.77386i) q^{4} +(-0.0202251 - 0.0419978i) q^{5} +(1.40763 + 0.136302i) q^{6} +(2.50508 + 0.851222i) q^{7} +(0.184253 - 2.82242i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})\)	\(q+(-1.20909 - 0.733551i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(0.923805 + 1.77386i) q^{4} +(-0.0202251 - 0.0419978i) q^{5} +(1.40763 + 0.136302i) q^{6} +(2.50508 + 0.851222i) q^{7} +(0.184253 - 2.82242i) q^{8} +(0.623490 - 0.781831i) q^{9} +(-0.00635357 + 0.0656153i) q^{10} +(4.22358 - 3.36820i) q^{11} +(-1.60197 - 1.19737i) q^{12} +(-4.09819 + 3.26819i) q^{13} +(-2.40446 - 2.86681i) q^{14} +(0.0364443 + 0.0290634i) q^{15} +(-2.29317 + 3.27740i) q^{16} +(-1.81779 + 0.414899i) q^{17} +(-1.32737 + 0.487944i) q^{18} -3.64310 q^{19} +(0.0558143 - 0.0746743i) q^{20} +(-2.62633 + 0.319989i) q^{21} +(-7.57745 + 0.974242i) q^{22} +(7.77277 + 1.77408i) q^{23} +(1.05860 + 2.62286i) q^{24} +(3.11609 - 3.90746i) q^{25} +(7.35247 - 0.945317i) q^{26} +(-0.222521 + 0.974928i) q^{27} +(0.804255 + 5.23003i) q^{28} +(0.460848 + 2.01911i) q^{29} +(-0.0227451 - 0.0618741i) q^{30} +6.23384 q^{31} +(5.17679 - 2.28053i) q^{32} +(-2.34391 + 4.86719i) q^{33} +(2.50222 + 0.831791i) q^{34} +(-0.0149160 - 0.122424i) q^{35} +(1.96284 + 0.383725i) q^{36} +(1.79149 + 7.84902i) q^{37} +(4.40485 + 2.67240i) q^{38} +(2.27432 - 4.72268i) q^{39} +(-0.122262 + 0.0493454i) q^{40} +(-1.75191 - 3.63789i) q^{41} +(3.41020 + 1.53965i) q^{42} +(2.31404 - 4.80515i) q^{43} +(9.87648 + 4.38050i) q^{44} +(-0.0454453 - 0.0103726i) q^{45} +(-8.09661 - 7.84675i) q^{46} +(0.371672 + 0.466062i) q^{47} +(0.644061 - 3.94781i) q^{48} +(5.55084 + 4.26476i) q^{49} +(-6.63396 + 2.43866i) q^{50} +(1.45775 - 1.16252i) q^{51} +(-9.58325 - 4.25044i) q^{52} +(0.113587 - 0.497658i) q^{53} +(0.984208 - 1.01555i) q^{54} +(-0.226879 - 0.109259i) q^{55} +(2.86407 - 6.91354i) q^{56} +(3.28232 - 1.58068i) q^{57} +(0.923910 - 2.77934i) q^{58} +(3.00005 + 1.44475i) q^{59} +(-0.0178870 + 0.0914961i) q^{60} +(12.0386 - 2.74773i) q^{61} +(-7.53728 - 4.57284i) q^{62} +(2.22740 - 1.42782i) q^{63} +(-7.93210 - 1.04008i) q^{64} +(0.220143 + 0.106015i) q^{65} +(6.40434 - 4.16549i) q^{66} +9.62227i q^{67} +(-2.41526 - 2.84122i) q^{68} +(-7.77277 + 1.77408i) q^{69} +(-0.0717694 + 0.158963i) q^{70} +(1.82800 + 0.417230i) q^{71} +(-2.09178 - 1.90380i) q^{72} +(7.50927 + 5.98844i) q^{73} +(3.59158 - 10.8043i) q^{74} +(-1.11212 + 4.87252i) q^{75} +(-3.36552 - 6.46236i) q^{76} +(13.4475 - 4.84239i) q^{77} +(-6.21419 + 4.04182i) q^{78} +6.41351i q^{79} +(0.184023 + 0.0300223i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(-0.550352 + 5.68366i) q^{82} +(2.99386 - 3.75418i) q^{83} +(-2.99383 - 4.36314i) q^{84} +(0.0541898 + 0.0679518i) q^{85} +(-6.32271 + 4.11240i) q^{86} +(-1.29127 - 1.61920i) q^{87} +(-8.72825 - 12.5413i) q^{88} +(-12.8025 - 10.2097i) q^{89} +(0.0473388 + 0.0458779i) q^{90} +(-13.0482 + 4.69862i) q^{91} +(4.03354 + 15.4267i) q^{92} +(-5.61649 + 2.70476i) q^{93} +(-0.107505 - 0.836153i) q^{94} +(0.0736821 + 0.153002i) q^{95} +(-3.67465 + 4.30081i) q^{96} +6.08284i q^{97} +(-3.58306 - 9.22831i) q^{98} -5.40217i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

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