LMFDB - Embedded newform 572.2.bk.a.31.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [572,2,Mod(31,572)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(572, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 12, 15]))

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

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

chi := DirichletCharacter("572.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 572 = 2^{2} \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	572.bk (of order $20$, degree $8$, 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:	$4.56744299562$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$80$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			31.5
Character	$\chi$	$=$	572.31
Dual form			572.2.bk.a.203.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38260 + 0.297351i) q^{2} +(-1.11684 - 1.53720i) q^{3} +(1.82316 - 0.822235i) q^{4} +(1.61342 + 0.822078i) q^{5} +(2.00123 + 1.79324i) q^{6} +(-1.26651 + 0.200595i) q^{7} +(-2.27621 + 1.67894i) q^{8} +(-0.188596 + 0.580439i) q^{9} +O(q^{10})$	\(q+(-1.38260 + 0.297351i) q^{2} +(-1.11684 - 1.53720i) q^{3} +(1.82316 - 0.822235i) q^{4} +(1.61342 + 0.822078i) q^{5} +(2.00123 + 1.79324i) q^{6} +(-1.26651 + 0.200595i) q^{7} +(-2.27621 + 1.67894i) q^{8} +(-0.188596 + 0.580439i) q^{9} +(-2.47516 - 0.656853i) q^{10} +(-0.386261 + 3.29406i) q^{11} +(-3.30012 - 1.88426i) q^{12} +(0.449226 + 3.57746i) q^{13} +(1.69143 - 0.653940i) q^{14} +(-0.538234 - 3.39827i) q^{15} +(2.64786 - 2.99814i) q^{16} +(-6.49748 + 2.11116i) q^{17} +(0.0881588 - 0.858594i) q^{18} +(-5.44979 - 0.863162i) q^{19} +(3.61747 + 0.172174i) q^{20} +(1.72284 + 1.72284i) q^{21} +(-0.445446 - 4.66922i) q^{22} +4.73657 q^{23} +(5.12303 + 1.62388i) q^{24} +(-1.01162 - 1.39237i) q^{25} +(-1.68486 - 4.81261i) q^{26} +(-4.31837 + 1.40312i) q^{27} +(-2.14412 + 1.40708i) q^{28} +(2.59810 + 1.88763i) q^{29} +(1.75464 + 4.53841i) q^{30} +(2.06160 - 1.05044i) q^{31} +(-2.76943 + 4.93257i) q^{32} +(5.49501 - 3.08517i) q^{33} +(8.35566 - 4.85092i) q^{34} +(-2.20831 - 0.717524i) q^{35} +(0.133416 + 1.21331i) q^{36} +(1.20286 + 7.59456i) q^{37} +(7.79154 - 0.427093i) q^{38} +(4.99755 - 4.68600i) q^{39} +(-5.05271 + 0.837611i) q^{40} +(-0.0119732 + 0.0755960i) q^{41} +(-2.89429 - 1.86971i) q^{42} -3.33231 q^{43} +(2.00427 + 6.32320i) q^{44} +(-0.781451 + 0.781451i) q^{45} +(-6.54878 + 1.40842i) q^{46} +(-1.86203 + 11.7564i) q^{47} +(-7.56597 - 0.721841i) q^{48} +(-5.09359 + 1.65501i) q^{49} +(1.81269 + 1.62429i) q^{50} +(10.5019 + 7.63009i) q^{51} +(3.76052 + 6.15292i) q^{52} +(-2.14387 + 6.59814i) q^{53} +(5.55336 - 3.22403i) q^{54} +(-3.33117 + 4.99716i) q^{55} +(2.54605 - 2.58299i) q^{56} +(4.75969 + 9.34142i) q^{57} +(-4.15342 - 1.83729i) q^{58} +(10.1698 - 1.61073i) q^{59} +(-3.77547 - 5.75306i) q^{60} +(-3.05701 - 9.40852i) q^{61} +(-2.53801 + 2.06535i) q^{62} +(0.122425 - 0.772962i) q^{63} +(2.36231 - 7.64327i) q^{64} +(-2.21616 + 6.14124i) q^{65} +(-6.68002 + 5.89951i) q^{66} +(3.27517 + 3.27517i) q^{67} +(-10.1101 + 9.19145i) q^{68} +(-5.28999 - 7.28105i) q^{69} +(3.26657 + 0.335405i) q^{70} +(-5.15881 + 10.1247i) q^{71} +(-0.545239 - 1.63785i) q^{72} +(2.03879 + 12.8724i) q^{73} +(-3.92133 - 10.1426i) q^{74} +(-1.01054 + 3.11011i) q^{75} +(-10.6456 + 2.90732i) q^{76} +(-0.171568 - 4.24943i) q^{77} +(-5.51622 + 7.96488i) q^{78} +(4.94799 + 1.60770i) q^{79} +(6.73681 - 2.66051i) q^{80} +(8.46107 + 6.14732i) q^{81} +(-0.00592437 - 0.108079i) q^{82} +(6.78146 - 13.3094i) q^{83} +(4.55760 + 1.72444i) q^{84} +(-12.2187 - 1.93525i) q^{85} +(4.60725 - 0.990867i) q^{86} -6.10197i q^{87} +(-4.65131 - 8.14649i) q^{88} +(-3.30061 - 3.30061i) q^{89} +(0.848069 - 1.31280i) q^{90} +(-1.28657 - 4.44076i) q^{91} +(8.63555 - 3.89458i) q^{92} +(-3.91720 - 1.99591i) q^{93} +(-0.921333 - 16.8080i) q^{94} +(-8.08321 - 5.87279i) q^{95} +(10.6753 - 1.25173i) q^{96} +(-7.92182 - 15.5474i) q^{97} +(6.55028 - 3.80280i) q^{98} +(-1.83915 - 0.845447i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 6 q^{2} - 12 q^{5} - 14 q^{6} - 6 q^{8} + 120 q^{9}+O(q^{10}) $ 640 * q - 6 * q^2 - 12 * q^5 - 14 * q^6 - 6 * q^8 + 120 * q^9	$ 640 q - 6 q^{2} - 12 q^{5} - 14 q^{6} - 6 q^{8} + 120 q^{9} - 12 q^{13} + 4 q^{14} - 36 q^{16} - 10 q^{18} - 60 q^{20} - 56 q^{21} - 44 q^{22} - 14 q^{24} + 26 q^{26} - 14 q^{28} - 24 q^{29} - 16 q^{32} - 28 q^{33} + 12 q^{34} - 12 q^{37} + 4 q^{40} - 36 q^{41} - 8 q^{42} + 26 q^{44} - 16 q^{45} - 50 q^{46} + 48 q^{48} + 36 q^{50} - 52 q^{52} - 40 q^{53} + 116 q^{54} - 36 q^{57} - 70 q^{58} + 52 q^{60} - 8 q^{61} - 48 q^{65} - 228 q^{66} - 44 q^{68} - 68 q^{70} - 38 q^{72} - 12 q^{73} - 12 q^{74} + 108 q^{76} + 108 q^{78} + 62 q^{80} - 168 q^{81} - 36 q^{84} - 52 q^{85} - 62 q^{86} + 16 q^{89} - 80 q^{92} - 4 q^{93} - 124 q^{94} - 132 q^{96} - 4 q^{97} - 108 q^{98}+O(q^{100}) $ 640 * q - 6 * q^2 - 12 * q^5 - 14 * q^6 - 6 * q^8 + 120 * q^9 - 12 * q^13 + 4 * q^14 - 36 * q^16 - 10 * q^18 - 60 * q^20 - 56 * q^21 - 44 * q^22 - 14 * q^24 + 26 * q^26 - 14 * q^28 - 24 * q^29 - 16 * q^32 - 28 * q^33 + 12 * q^34 - 12 * q^37 + 4 * q^40 - 36 * q^41 - 8 * q^42 + 26 * q^44 - 16 * q^45 - 50 * q^46 + 48 * q^48 + 36 * q^50 - 52 * q^52 - 40 * q^53 + 116 * q^54 - 36 * q^57 - 70 * q^58 + 52 * q^60 - 8 * q^61 - 48 * q^65 - 228 * q^66 - 44 * q^68 - 68 * q^70 - 38 * q^72 - 12 * q^73 - 12 * q^74 + 108 * q^76 + 108 * q^78 + 62 * q^80 - 168 * q^81 - 36 * q^84 - 52 * q^85 - 62 * q^86 + 16 * q^89 - 80 * q^92 - 4 * q^93 - 124 * q^94 - 132 * q^96 - 4 * q^97 - 108 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/572\mathbb{Z}\right)^\times$.

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{3}{5}\right)$

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 $

$2$	−1.38260	+	0.297351i	−0.977646	+	0.210259i
$2$	−1.38260	+	0.297351i	−0.977646	+	0.210259i
$3$	−1.11684	−	1.53720i	−0.644808	−	0.887502i	0.354053	−	0.935225i	$-0.384803\pi$
$3$	−1.11684	−	1.53720i	−0.644808	−	0.887502i	−0.998861	+	0.0477236i	$0.984803\pi$
$4$	1.82316	−	0.822235i	0.911582	−	0.411118i
$5$	1.61342	+	0.822078i	0.721543	+	0.367645i	0.775882	−	0.630878i	$-0.217305\pi$
$5$	1.61342	+	0.822078i	0.721543	+	0.367645i	−0.0543390	+	0.998523i	$0.517305\pi$
$6$	2.00123	+	1.79324i	0.816999	+	0.732086i
$7$	−1.26651	+	0.200595i	−0.478695	+	0.0758178i	−0.391119	−	0.920340i	$-0.627912\pi$
$7$	−1.26651	+	0.200595i	−0.478695	+	0.0758178i	−0.0875757	+	0.996158i	$0.527912\pi$
$8$	−2.27621	+	1.67894i	−0.804763	+	0.593596i
$9$	−0.188596	+	0.580439i	−0.0628654	+	0.193480i
$10$	−2.47516	−	0.656853i	−0.782714	−	0.207715i
$11$	−0.386261	+	3.29406i	−0.116462	+	0.993195i
$11$	−0.386261	+	3.29406i	−0.116462	+	0.993195i
$12$	−3.30012	−	1.88426i	−0.952663	−	0.543939i
$13$	0.449226	+	3.57746i	0.124593	+	0.992208i
$13$	0.449226	+	3.57746i	0.124593	+	0.992208i
$14$	1.69143	−	0.653940i	0.452053	−	0.174773i
$15$	−0.538234	−	3.39827i	−0.138971	−	0.877431i
$16$	2.64786	−	2.99814i	0.661965	−	0.749535i
$17$	−6.49748	+	2.11116i	−1.57587	+	0.512031i	−0.960989	−	0.276588i	$-0.910796\pi$
$17$	−6.49748	+	2.11116i	−1.57587	+	0.512031i	−0.614882	+	0.788619i	$0.710796\pi$
$18$	0.0881588	−	0.858594i	0.0207792	−	0.202373i
$19$	−5.44979	−	0.863162i	−1.25027	−	0.198023i	−0.504020	−	0.863692i	$-0.668146\pi$
$19$	−5.44979	−	0.863162i	−1.25027	−	0.198023i	−0.746247	+	0.665669i	$0.768146\pi$
$20$	3.61747	+	0.172174i	0.808891	+	0.0384992i
$21$	1.72284	+	1.72284i	0.375955	+	0.375955i
$22$	−0.445446	−	4.66922i	−0.0949694	−	0.995480i
$23$	4.73657			0.987644			0.493822	−	0.869563i	$-0.335600\pi$
$23$	4.73657			0.987644			0.493822	+	0.869563i	$0.335600\pi$
$24$	5.12303	+	1.62388i	1.04574	+	0.331474i
$25$	−1.01162	−	1.39237i	−0.202323	−	0.278474i
$26$	−1.68486	−	4.81261i	−0.330428	−	0.943831i
$27$	−4.31837	+	1.40312i	−0.831071	+	0.270031i
$28$	−2.14412	+	1.40708i	−0.405200	+	0.265914i
$29$	2.59810	+	1.88763i	0.482455	+	0.350524i	0.802275	−	0.596954i	$-0.203623\pi$
$29$	2.59810	+	1.88763i	0.482455	+	0.350524i	−0.319821	+	0.947478i	$0.603623\pi$
$30$	1.75464	+	4.53841i	0.320352	+	0.828596i
$31$	2.06160	−	1.05044i	0.370274	−	0.188664i	−0.258945	−	0.965892i	$-0.583375\pi$
$31$	2.06160	−	1.05044i	0.370274	−	0.188664i	0.629219	+	0.777228i	$0.283375\pi$
$32$	−2.76943	+	4.93257i	−0.489570	+	0.871964i
$33$	5.49501	−	3.08517i	0.956558	−	0.537060i
$34$	8.35566	−	4.85092i	1.43298	−	0.831926i
$35$	−2.20831	−	0.717524i	−0.373273	−	0.121284i
$36$	0.133416	+	1.21331i	0.0222360	+	0.202218i
$37$	1.20286	+	7.59456i	0.197749	+	1.24854i	0.864261	+	0.503044i	$0.167787\pi$
$37$	1.20286	+	7.59456i	0.197749	+	1.24854i	−0.666512	+	0.745494i	$0.732213\pi$
$38$	7.79154	−	0.427093i	1.26395	−	0.0692837i
$39$	4.99755	−	4.68600i	0.800248	−	0.750360i
$40$	−5.05271	+	0.837611i	−0.798904	+	0.132438i
$41$	−0.0119732	+	0.0755960i	−0.00186990	+	0.0118061i	−0.988606	−	0.150529i	$-0.951902\pi$
$41$	−0.0119732	+	0.0755960i	−0.00186990	+	0.0118061i	0.986736	+	0.162335i	$0.0519024\pi$
$42$	−2.89429	−	1.86971i	−0.446598	−	0.288503i
$43$	−3.33231			−0.508173			−0.254086	−	0.967182i	$-0.581775\pi$
$43$	−3.33231			−0.508173			−0.254086	+	0.967182i	$0.581775\pi$
$44$	2.00427	+	6.32320i	0.302155	+	0.953259i
$45$	−0.781451	+	0.781451i	−0.116492	+	0.116492i
$46$	−6.54878	+	1.40842i	−0.965566	+	0.207661i
$47$	−1.86203	+	11.7564i	−0.271605	+	1.71484i	0.354459	+	0.935072i	$0.384665\pi$
$47$	−1.86203	+	11.7564i	−0.271605	+	1.71484i	−0.626063	+	0.779772i	$0.715335\pi$
$48$	−7.56597	−	0.721841i	−1.09205	−	0.104189i
$49$	−5.09359	+	1.65501i	−0.727656	+	0.236430i
$50$	1.81269	+	1.62429i	0.256352	+	0.229709i
$51$	10.5019	+	7.63009i	1.47056	+	1.06843i
$52$	3.76052	+	6.15292i	0.521491	+	0.853257i
$53$	−2.14387	+	6.59814i	−0.294483	+	0.906324i	0.688912	+	0.724845i	$0.258089\pi$
$53$	−2.14387	+	6.59814i	−0.294483	+	0.906324i	−0.983395	+	0.181479i	$0.941911\pi$
$54$	5.55336	−	3.22403i	0.755717	−	0.438735i
$55$	−3.33117	+	4.99716i	−0.449175	+	0.673816i
$56$	2.54605	−	2.58299i	0.340231	−	0.345167i
$57$	4.75969	+	9.34142i	0.630437	+	1.23730i
$58$	−4.15342	−	1.83729i	−0.545371	−	0.241248i
$59$	10.1698	−	1.61073i	1.32399	−	0.209700i	0.545900	−	0.837851i	$-0.316188\pi$
$59$	10.1698	−	1.61073i	1.32399	−	0.209700i	0.778091	+	0.628151i	$0.216188\pi$
$60$	−3.77547	−	5.75306i	−0.487411	−	0.742717i
$61$	−3.05701	−	9.40852i	−0.391410	−	1.20464i	−0.931722	−	0.363172i	$-0.881694\pi$
$61$	−3.05701	−	9.40852i	−0.391410	−	1.20464i	0.540312	−	0.841465i	$-0.318306\pi$
$62$	−2.53801	+	2.06535i	−0.322328	+	0.262300i
$63$	0.122425	−	0.772962i	0.0154241	−	0.0973841i
$64$	2.36231	−	7.64327i	0.295288	−	0.955408i
$65$	−2.21616	+	6.14124i	−0.274881	+	0.761727i
$66$	−6.68002	+	5.89951i	−0.822253	+	0.726179i
$67$	3.27517	+	3.27517i	0.400126	+	0.400126i	0.878277	−	0.478152i	$-0.158693\pi$
$67$	3.27517	+	3.27517i	0.400126	+	0.400126i	−0.478152	+	0.878277i	$0.658693\pi$
$68$	−10.1101	+	9.19145i	−1.22603	+	1.11463i
$69$	−5.28999	−	7.28105i	−0.636840	−	0.876536i
$70$	3.26657	+	0.335405i	0.390430	+	0.0400885i
$71$	−5.15881	+	10.1247i	−0.612238	+	1.20159i	0.351863	+	0.936051i	$0.385548\pi$
$71$	−5.15881	+	10.1247i	−0.612238	+	1.20159i	−0.964102	+	0.265534i	$0.914452\pi$
$72$	−0.545239	−	1.63785i	−0.0642570	−	0.193022i
$73$	2.03879	+	12.8724i	0.238622	+	1.50660i	0.758112	+	0.652124i	$0.226122\pi$
$73$	2.03879	+	12.8724i	0.238622	+	1.50660i	−0.519490	+	0.854476i	$0.673878\pi$
$74$	−3.92133	−	10.1426i	−0.455845	−	1.17905i
$75$	−1.01054	+	3.11011i	−0.116687	+	0.359125i
$76$	−10.6456	+	2.90732i	−1.22113	+	0.333493i
$77$	−0.171568	−	4.24943i	−0.0195520	−	0.484267i
$78$	−5.51622	+	7.96488i	−0.624589	+	0.901845i
$79$	4.94799	+	1.60770i	0.556692	+	0.180880i	0.573832	−	0.818973i	$-0.305456\pi$
$79$	4.94799	+	1.60770i	0.556692	+	0.180880i	−0.0171401	+	0.999853i	$0.505456\pi$
$80$	6.73681	−	2.66051i	0.753198	−	0.297454i
$81$	8.46107	+	6.14732i	0.940118	+	0.683036i
$82$	−0.00592437	−	0.108079i	−0.000654237	−	0.0119354i
$83$	6.78146	−	13.3094i	0.744362	−	1.46089i	−0.138054	−	0.990425i	$-0.544085\pi$
$83$	6.78146	−	13.3094i	0.744362	−	1.46089i	0.882417	−	0.470469i	$-0.155915\pi$
$84$	4.55760	+	1.72444i	0.497275	+	0.188152i
$85$	−12.2187	−	1.93525i	−1.32530	−	0.209908i
$86$	4.60725	−	0.990867i	0.496813	−	0.106848i
$87$		−	6.10197i		−	0.654200i
$88$	−4.65131	−	8.14649i	−0.495832	−	0.868419i
$89$	−3.30061	−	3.30061i	−0.349863	−	0.349863i	0.510195	−	0.860059i	$-0.329573\pi$
$89$	−3.30061	−	3.30061i	−0.349863	−	0.349863i	−0.860059	+	0.510195i	$0.829573\pi$
$90$	0.848069	−	1.31280i	0.0893943	−	0.138381i
$91$	−1.28657	−	4.44076i	−0.134869	−	0.465518i
$92$	8.63555	−	3.89458i	0.900318	−	0.406038i
$93$	−3.91720	−	1.99591i	−0.406195	−	0.206967i
$94$	−0.921333	−	16.8080i	−0.0950283	−	1.73362i
$95$	−8.08321	−	5.87279i	−0.829320	−	0.602536i
$96$	10.6753	−	1.25173i	1.08955	−	0.127754i
$97$	−7.92182	−	15.5474i	−0.804339	−	1.57860i	−0.815564	−	0.578667i	$-0.803573\pi$
$97$	−7.92182	−	15.5474i	−0.804339	−	1.57860i	0.0112251	−	0.999937i	$-0.496427\pi$
$98$	6.55028	−	3.80280i	0.661678	−	0.384141i
$99$	−1.83915	−	0.845447i	−0.184842	−	0.0849707i
$100$	−2.98920	−	1.70674i	−0.298920	−	0.170674i
$101$	11.0144	+	3.57880i	1.09597	+	0.356104i	0.800552	−	0.599263i	$-0.204540\pi$
$101$	11.0144	+	3.57880i	1.09597	+	0.356104i	0.295423	+	0.955367i	$0.404540\pi$
$102$	−16.7888	−	7.42660i	−1.66234	−	0.735343i
$103$	−2.63611	−	1.91524i	−0.259743	−	0.188715i	0.450291	−	0.892882i	$-0.351320\pi$
$103$	−2.63611	−	1.91524i	−0.259743	−	0.188715i	−0.710034	+	0.704168i	$0.751320\pi$
$104$	−7.02888	−	7.38883i	−0.689238	−	0.724535i
$105$	1.36335	+	4.19597i	0.133050	+	0.409485i
$106$	1.00214	−	9.76007i	0.0973369	−	0.947982i
$107$	1.94183	+	2.67271i	0.187724	+	0.258380i	0.892497	−	0.451052i	$-0.148951\pi$
$107$	1.94183	+	2.67271i	0.187724	+	0.258380i	−0.704773	+	0.709433i	$0.748951\pi$
$108$	−6.71941	+	6.10884i	−0.646575	+	0.587824i
$109$	−1.06115	+	1.06115i	−0.101639	+	0.101639i	−0.756098	−	0.654459i	$-0.772897\pi$
$109$	−1.06115	+	1.06115i	−0.101639	+	0.101639i	0.654459	+	0.756098i	$0.272897\pi$
$110$	3.11977	−	7.89959i	0.297458	−	0.753197i
$111$	10.3309	−	10.3309i	0.980570	−	0.980570i
$112$	−2.75212	+	4.32831i	−0.260051	+	0.408987i
$113$	0.407123	−	0.295792i	0.0382989	−	0.0278258i	−0.568471	−	0.822703i	$-0.692465\pi$
$113$	0.407123	−	0.295792i	0.0382989	−	0.0278258i	0.606770	+	0.794877i	$0.292465\pi$
$114$	−9.35843	−	11.5001i	−0.876497	−	1.07709i
$115$	7.64208	+	3.89383i	0.712627	+	0.363102i
$116$	6.28884	+	1.30521i	0.583904	+	0.121186i
$117$	−2.16122	−	0.413946i	−0.199805	−	0.0382693i
$118$	−13.5818	+	5.25099i	−1.25030	+	0.483393i
$119$	7.80562	−	3.97716i	0.715540	−	0.364586i
$120$	6.93064	+	6.83154i	0.632678	+	0.623631i
$121$	−10.7016	−	2.54473i	−0.972873	−	0.231339i
$122$	7.02426	+	12.0992i	0.635946	+	1.09541i
$123$	0.129578	−	0.0660234i	0.0116837	−	0.00595313i
$124$	2.89492	−	3.61023i	0.259972	−	0.324209i
$125$	−1.90387	−	12.0206i	−0.170287	−	1.07515i
$126$	0.0605761	+	1.10510i	0.00539655	+	0.0984502i
$127$	−3.24759	−	9.99506i	−0.288177	−	0.886918i	−0.985428	−	0.170091i	$-0.945594\pi$
$127$	−3.24759	−	9.99506i	−0.288177	−	0.886918i	0.697251	−	0.716827i	$-0.254406\pi$
$128$	−0.993391	+	11.2700i	−0.0878042	+	0.996138i
$129$	3.72166	+	5.12242i	0.327674	+	0.451004i
$130$	1.23796	−	9.14985i	0.108576	−	0.802495i
$131$			12.9254i			1.12930i	0.825332	+	0.564648i	$0.190988\pi$
$131$			12.9254i			1.12930i	−0.825332	+	0.564648i	$0.809012\pi$
$132$	7.48157	−	10.1430i	0.651187	−	0.882832i
$133$	7.07534			0.613510
$134$	−5.50212	−	3.55437i	−0.475311	−	0.307051i
$135$	−8.12082	−	1.28621i	−0.698929	−	0.110700i
$136$	11.2451	−	15.7143i	0.964263	−	1.34749i
$137$	−1.21390	+	2.38241i	−0.103710	+	0.203543i	−0.937030	−	0.349248i	$-0.886437\pi$
$137$	−1.21390	+	2.38241i	−0.103710	+	0.203543i	0.833320	+	0.552791i	$0.186437\pi$
$138$	9.47897	+	8.49379i	0.806904	+	0.723040i
$139$	−3.91496	+	5.38848i	−0.332062	+	0.457045i	−0.942102	−	0.335326i	$-0.891153\pi$
$139$	−3.91496	+	5.38848i	−0.332062	+	0.457045i	0.610040	+	0.792371i	$0.291153\pi$
$140$	−4.61609	+	0.507587i	−0.390131	+	0.0428990i
$141$	20.1515	−	10.2677i	1.69706	−	0.864695i
$142$	4.12197	−	15.5324i	0.345908	−	1.30345i
$143$	−11.9579	+	0.0979419i	−0.999966	+	0.00819032i
$144$	1.24086	+	2.10236i	0.103405	+	0.175197i
$145$	2.64004	+	5.18138i	0.219244	+	0.430290i
$146$	−6.64645	−	17.1911i	−0.550064	−	1.42275i
$147$	8.23280	+	5.98148i	0.679030	+	0.493344i
$148$	8.43753	+	12.8571i	0.693561	+	1.05685i
$149$	16.5035	+	8.40895i	1.35202	+	0.688888i	0.971755	−	0.235990i	$-0.0758334\pi$
$149$	16.5035	+	8.40895i	1.35202	+	0.688888i	0.380263	+	0.924878i	$0.375833\pi$
$150$	0.472373	−	4.60053i	0.0385691	−	0.375631i
$151$	1.33282	−	8.41511i	0.108463	−	0.684812i	−0.872206	−	0.489139i	$-0.837311\pi$
$151$	1.33282	−	8.41511i	0.108463	−	0.684812i	0.980669	−	0.195672i	$-0.0626890\pi$
$152$	13.8541	−	7.18514i	1.12371	−	0.582792i
$153$		−	4.16955i		−	0.337088i
$154$	1.50078	+	5.82424i	0.120936	+	0.469331i
$155$	4.18976			0.336530
$156$	5.25836	−	12.6525i	0.421006	−	1.01301i
$157$	4.45438	−	3.23630i	0.355498	−	0.258285i	−0.395674	−	0.918391i	$-0.629489\pi$
$157$	4.45438	−	3.23630i	0.355498	−	0.258285i	0.751172	+	0.660106i	$0.229489\pi$
$158$	−7.31914	−	0.751514i	−0.582279	−	0.0597873i
$159$	12.5370	−	4.07352i	0.994249	−	0.323051i
$160$	−8.52321	+	5.68162i	−0.673819	+	0.449171i
$161$	−5.99890	+	0.950133i	−0.472780	+	0.0748810i
$162$	−13.5262	−	5.98338i	−1.06272	−	0.470099i
$163$	−1.02678	−	2.01517i	−0.0804236	−	0.157840i	0.847293	−	0.531126i	$-0.178231\pi$
$163$	−1.02678	−	2.01517i	−0.0804236	−	0.157840i	−0.927716	+	0.373286i	$0.878231\pi$
$164$	0.0403285	+	0.147669i	0.00314913	+	0.0115310i
$165$	11.4020	−	0.460350i	0.887645	−	0.0358382i
$166$	−5.41849	+	20.4180i	−0.420557	+	1.58474i
$167$	−4.78412	−	9.38937i	−0.370207	−	0.726572i	0.628479	−	0.777827i	$-0.283678\pi$
$167$	−4.78412	−	9.38937i	−0.370207	−	0.726572i	−0.998686	+	0.0512551i	$0.983678\pi$
$168$	−6.81410	−	1.02901i	−0.525719	−	0.0793895i
$169$	−12.5964	+	3.21417i	−0.968953	+	0.247244i
$170$	17.4690	−	0.957565i	1.33981	−	0.0734419i
$171$	1.52882	−	3.00048i	0.116912	−	0.229453i
$172$	−6.07535	+	2.73994i	−0.463241	+	0.208919i
$173$	−10.9547	−	15.0779i	−0.832872	−	1.14635i	−0.987382	−	0.158358i	$-0.949380\pi$
$173$	−10.9547	−	15.0779i	−0.832872	−	1.14635i	0.154510	−	0.987991i	$-0.450620\pi$
$174$	1.81443	+	8.43658i	0.137551	+	0.639576i
$175$	1.56052	+	1.56052i	0.117964	+	0.117964i
$176$	8.85327	+	9.88026i	0.667341	+	0.744753i
$177$	−13.8340	−	13.8340i	−1.03983	−	1.03983i
$178$	5.54485	+	3.58198i	0.415604	+	0.268481i
$179$	7.53441	−	5.47407i	0.563148	−	0.409151i	−0.269462	−	0.963011i	$-0.586846\pi$
$179$	7.53441	−	5.47407i	0.563148	−	0.409151i	0.832610	+	0.553860i	$0.186846\pi$
$180$	−0.782177	+	2.06725i	−0.0583001	+	0.154084i
$181$	0.447580	−	0.145428i	0.0332684	−	0.0108095i	−0.292336	−	0.956316i	$-0.594432\pi$
$181$	0.447580	−	0.145428i	0.0332684	−	0.0108095i	0.325604	+	0.945506i	$0.394432\pi$
$182$	3.09927	+	5.75723i	0.229734	+	0.426755i
$183$	−11.0486	+	15.2070i	−0.816733	+	1.12414i
$184$	−10.7815	+	7.95243i	−0.794819	+	0.586261i
$185$	−4.30261	+	13.2421i	−0.316334	+	0.973576i
$186$	6.00941	+	1.59477i	0.440631	+	0.116934i
$187$	−4.44455	−	22.2185i	−0.325018	−	1.62478i
$188$	6.27172	+	22.9648i	0.457413	+	1.67488i
$189$	5.18779	−	2.64331i	0.377356	−	0.192273i
$190$	12.9221	+	5.71617i	0.937469	+	0.414695i
$191$	−4.01797	+	5.53026i	−0.290730	+	0.400155i	−0.929251	−	0.369449i	$-0.879546\pi$
$191$	−4.01797	+	5.53026i	−0.290730	+	0.400155i	0.638521	+	0.769604i	$0.279546\pi$
$192$	−14.3875	+	4.90497i	−1.03833	+	0.353986i
$193$	−1.44024	+	2.82664i	−0.103671	+	0.203466i	−0.937015	−	0.349289i	$-0.886423\pi$
$193$	−1.44024	+	2.82664i	−0.103671	+	0.203466i	0.833344	+	0.552755i	$0.186423\pi$
$194$	15.5758	+	19.1403i	1.11827	+	1.37420i
$195$	11.9154	−	3.45210i	0.853279	−	0.247210i
$196$	−7.92565	+	7.20548i	−0.566118	+	0.514677i
$197$	−16.0645	+	16.0645i	−1.14455	+	1.14455i	−0.156937	+	0.987609i	$0.550162\pi$
$197$	−16.0645	+	16.0645i	−1.14455	+	1.14455i	−0.987609	+	0.156937i	$0.949838\pi$
$198$	2.79421	+	0.622042i	0.198576	+	0.0442066i
$199$	−21.8215			−1.54688			−0.773441	−	0.633868i	$-0.781466\pi$
$199$	−21.8215			−1.54688			−0.773441	+	0.633868i	$0.781466\pi$
$200$	4.64037	+	1.47089i	0.328124	+	0.104008i
$201$	1.37674	−	8.69242i	0.0971081	−	0.613116i
$202$	−16.2927	−	1.67290i	−1.14635	−	0.117705i
$203$	−3.66916	−	1.86953i	−0.257524	−	0.131215i
$204$	25.4205	+	5.27586i	1.77979	+	0.369384i
$205$	−0.0814637	+	0.112125i	−0.00568967	+	0.00783116i
$206$	4.21418	+	1.86417i	0.293616	+	0.129883i
$207$	−0.893299	+	2.74929i	−0.0620886	+	0.191089i
$208$	11.9152	+	8.12576i	0.826171	+	0.563420i
$209$	4.94835	−	17.6185i	0.342284	−	1.21870i
$210$	−3.13265	−	5.39596i	−0.216173	−	0.372356i
$211$	−23.5737	−	7.65957i	−1.62288	−	0.527307i	−0.650263	−	0.759709i	$-0.725341\pi$
$211$	−23.5737	−	7.65957i	−1.62288	−	0.527307i	−0.972620	+	0.232402i	$0.925341\pi$
$212$	1.51660	+	13.7923i	0.104161	+	0.947256i
$213$	21.3253	−	3.37759i	1.46118	−	0.231429i
$214$	−3.47951	−	3.11788i	−0.237854	−	0.213134i
$215$	−5.37642	−	2.73942i	−0.366669	−	0.186827i
$216$	7.47378	−	10.4441i	0.508526	−	0.710632i
$217$	−2.40031	+	1.74393i	−0.162944	+	0.118386i
$218$	1.15161	−	1.78267i	0.0779967	−	0.120738i
$219$	17.5104	−	17.5104i	1.18325	−	1.18325i
$220$	−1.96444	+	11.8496i	−0.132442	+	0.798903i
$221$	−10.4714	−	22.2961i	−0.704384	−	1.49980i
$222$	−11.2116	+	17.3555i	−0.752476	+	1.16482i
$223$	−15.4931	−	2.45387i	−1.03750	−	0.164323i	−0.385628	−	0.922654i	$-0.626015\pi$
$223$	−15.4931	−	2.45387i	−1.03750	−	0.164323i	−0.651870	+	0.758331i	$0.726015\pi$
$224$	2.51805	−	6.80267i	0.168244	−	0.454523i
$225$	0.998974	−	0.324586i	0.0665983	−	0.0216391i
$226$	−0.474934	+	0.530021i	−0.0315922	+	0.0352565i
$227$	1.48719	+	9.38977i	0.0987085	+	0.623221i	0.986599	+	0.163165i	$0.0521704\pi$
$227$	1.48719	+	9.38977i	0.0987085	+	0.623221i	−0.887890	+	0.460055i	$0.847830\pi$
$228$	16.3585	+	13.1174i	1.08337	+	0.868718i
$229$	12.8394	−	6.54200i	0.848452	−	0.432308i	0.0249956	−	0.999688i	$-0.492043\pi$
$229$	12.8394	−	6.54200i	0.848452	−	0.432308i	0.823456	+	0.567380i	$0.192043\pi$
$230$	−11.7238	−	3.11123i	−0.773042	−	0.205149i
$231$	−6.34060	+	5.00966i	−0.417181	+	0.329612i
$232$	−9.08305	+	0.0654083i	−0.596331	+	0.00429426i
$233$	16.2529	+	5.28089i	1.06476	+	0.345962i	0.788446	−	0.615104i	$-0.210886\pi$
$233$	16.2529	+	5.28089i	1.06476	+	0.345962i	0.276317	+	0.961067i	$0.410886\pi$
$234$	3.11119	−	0.0703189i	0.203385	−	0.00459689i
$235$	−12.6689	+	17.4372i	−0.826427	+	1.13748i
$236$	17.2168	−	11.2986i	1.12072	−	0.735474i
$237$	−3.05476	−	9.40158i	−0.198428	−	0.610698i
$238$	−9.60943	+	7.81983i	−0.622887	+	0.506884i
$239$	−0.893433	−	0.141506i	−0.0577913	−	0.00915325i	0.127472	−	0.991842i	$-0.459314\pi$
$239$	−0.893433	−	0.141506i	−0.0577913	−	0.00915325i	−0.185263	+	0.982689i	$0.559314\pi$
$240$	−11.6137	−	7.38445i	−0.749659	−	0.476664i
$241$	2.37844	+	2.37844i	0.153209	+	0.153209i	0.779549	−	0.626341i	$-0.215448\pi$
$241$	2.37844	+	2.37844i	0.153209	+	0.153209i	−0.626341	+	0.779549i	$0.715448\pi$
$242$	15.5527	+	0.336214i	0.999766	+	0.0216127i
$243$		−	6.25009i		−	0.400944i
$244$	−13.3095	−	14.6397i	−0.852050	−	0.937210i
$245$	−9.57865	−	1.51711i	−0.611957	−	0.0969245i
$246$	−0.159523	+	0.129814i	−0.0101708	+	0.00827665i
$247$	0.639737	−	19.8841i	0.0407055	−	1.26520i
$248$	−2.92901	+	5.85232i	−0.185993	+	0.371623i
$249$	−28.0330	+	4.43998i	−1.77652	+	0.281373i
$250$	6.20661	+	16.0535i	0.392541	+	1.01531i
$251$	−4.58965	+	14.1255i	−0.289696	+	0.891592i	0.695256	+	0.718762i	$0.255291\pi$
$251$	−4.58965	+	14.1255i	−0.289696	+	0.891592i	−0.984952	+	0.172830i	$0.944709\pi$
$252$	−0.412355	−	1.50990i	−0.0259759	−	0.0951147i
$253$	−1.82956	+	15.6025i	−0.115023	+	0.980923i
$254$	7.46216	+	12.8535i	0.468218	+	0.806500i
$255$	10.6715	+	20.9439i	0.668273	+	1.31156i
$256$	−1.97769	−	15.8773i	−0.123606	−	0.992331i
$257$	5.19436	−	7.14943i	0.324016	−	0.445969i	−0.615672	−	0.788002i	$-0.711116\pi$
$257$	5.19436	−	7.14943i	0.324016	−	0.445969i	0.939688	+	0.342033i	$0.111116\pi$
$258$	−6.66872	−	5.97562i	−0.415177	−	0.372026i
$259$	−3.04686	−	9.37728i	−0.189323	−	0.582676i
$260$	1.00912	+	13.0187i	0.0625828	+	0.807385i
$261$	−1.58565	+	1.15204i	−0.0981490	+	0.0713094i
$262$	−3.84338	−	17.8706i	−0.237445	−	1.10405i
$263$			9.32757i			0.575163i	0.957756	+	0.287581i	$0.0928512\pi$
$263$			9.32757i			0.575163i	−0.957756	+	0.287581i	$0.907149\pi$
$264$	−7.32799	+	16.2483i	−0.451007	+	1.00001i
$265$	−8.88314	+	8.88314i	−0.545687	+	0.545687i
$266$	−9.78237	+	2.10386i	−0.599796	+	0.128996i
$267$	−1.38744	+	8.75993i	−0.0849098	+	0.536099i
$268$	8.66413	+	3.27821i	0.529246	+	0.200249i
$269$	−2.30458	−	7.09276i	−0.140513	−	0.432453i	0.855894	−	0.517151i	$-0.173007\pi$
$269$	−2.30458	−	7.09276i	−0.140513	−	0.432453i	−0.996407	+	0.0846979i	$0.973007\pi$
$270$	11.6103	−	0.636419i	0.706581	−	0.0387312i
$271$	3.92132	−	0.621075i	0.238203	−	0.0377276i	−0.0361915	−	0.999345i	$-0.511523\pi$
$271$	3.92132	−	0.621075i	0.238203	−	0.0377276i	0.274394	+	0.961617i	$0.411523\pi$
$272$	−10.8749	+	25.0704i	−0.659385	+	1.52012i
$273$	−5.38944	+	6.93733i	−0.326184	+	0.419866i
$274$	0.969924	−	3.65487i	0.0585952	−	0.220799i
$275$	4.97730	−	2.79450i	0.300142	−	0.168515i
$276$	−15.6313	−	8.92494i	−0.940892	−	0.537218i
$277$	15.5633	+	5.05682i	0.935108	+	0.303835i	0.736650	−	0.676274i	$-0.236407\pi$
$277$	15.5633	+	5.05682i	0.935108	+	0.303835i	0.198458	+	0.980109i	$0.436407\pi$
$278$	3.81055	−	8.61423i	0.228542	−	0.516647i
$279$	0.220905	+	1.39474i	0.0132252	+	0.0835009i
$280$	6.23127	−	2.07439i	0.372390	−	0.123968i
$281$	3.95161	−	7.75547i	0.235733	−	0.462652i	−0.742587	−	0.669749i	$-0.766402\pi$
$281$	3.95161	−	7.75547i	0.235733	−	0.462652i	0.978320	+	0.207097i	$0.0664015\pi$
$282$	−24.8083	+	20.1882i	−1.47731	+	1.20219i
$283$	0.0802505	−	0.0583054i	0.00477040	−	0.00346590i	−0.585397	−	0.810746i	$-0.699062\pi$
$283$	0.0802505	−	0.0583054i	0.00477040	−	0.00346590i	0.590168	+	0.807281i	$0.299062\pi$
$284$	−1.08045	+	22.7008i	−0.0641128	+	1.34705i
$285$			18.9845i			1.12454i
$286$	16.5038	−	3.69110i	0.975891	−	0.218259i
$287$		−	0.0981447i		−	0.00579330i
$288$	−2.34075	−	2.53775i	−0.137930	−	0.149538i
$289$	24.0070	−	17.4421i	1.41218	−	1.02601i
$290$	−5.19081	−	6.37875i	−0.304815	−	0.374573i
$291$	−15.0521	+	29.5414i	−0.882370	+	1.73175i
$292$	14.3012	+	21.7921i	0.836914	+	1.27529i
$293$	−4.44777	−	28.0821i	−0.259841	−	1.64057i	−0.680064	−	0.733153i	$-0.738048\pi$
$293$	−4.44777	−	28.0821i	−0.259841	−	1.64057i	0.420222	−	0.907421i	$-0.361952\pi$
$294$	−13.1613	−	5.82196i	−0.767581	−	0.339544i
$295$	17.7322	+	5.76156i	1.03241	+	0.335451i
$296$	−15.4888	−	15.2673i	−0.900268	−	0.887395i
$297$	−2.95395	−	14.7669i	−0.171405	−	0.856864i
$298$	−25.3181	−	6.71888i	−1.46664	−	0.389214i
$299$	2.12779	+	16.9449i	0.123053	+	0.979948i
$300$	0.714869	+	6.50115i	0.0412730	+	0.375344i
$301$	4.22040	−	0.668445i	0.243260	−	0.0385285i
$302$	0.659482	+	12.0310i	0.0379489	+	0.692309i
$303$	−6.80001	−	20.9283i	−0.390650	−	1.20230i
$304$	−17.0182	+	14.0537i	−0.976058	+	0.806035i
$305$	2.80229	−	17.6930i	0.160459	−	1.01310i
$306$	1.23982	+	5.76482i	0.0708758	+	0.329553i
$307$	−1.82224	+	1.82224i	−0.104001	+	0.104001i	−0.757192	−	0.653192i	$-0.773430\pi$
$307$	−1.82224	+	1.82224i	−0.104001	+	0.104001i	0.653192	+	0.757192i	$0.273430\pi$
$308$	−3.80683	−	7.60634i	−0.216914	−	0.433411i
$309$			6.19124i			0.352207i
$310$	−5.79276	+	1.24583i	−0.329007	+	0.0707584i
$311$	−24.3595	+	17.6982i	−1.38130	+	1.00357i	−0.384542	+	0.923108i	$0.625641\pi$
$311$	−24.3595	+	17.6982i	−1.38130	+	1.00357i	−0.996757	+	0.0804652i	$0.974359\pi$
$312$	−3.50797	+	19.0569i	−0.198600	+	1.07889i
$313$	8.76701	+	26.9821i	0.495540	+	1.52512i	0.816113	+	0.577893i	$0.196125\pi$
$313$	8.76701	+	26.9821i	0.495540	+	1.52512i	−0.320572	+	0.947224i	$0.603875\pi$
$314$	−5.19631	+	5.79902i	−0.293245	+	0.327258i
$315$	0.832958	−	1.14647i	0.0469319	−	0.0645962i
$316$	10.3429	−	1.13731i	0.581834	−	0.0639787i
$317$	−9.52350	−	18.6909i	−0.534893	−	1.04979i	−0.987432	−	0.158042i	$-0.949482\pi$
$317$	−9.52350	−	18.6909i	−0.534893	−	1.04979i	0.452539	−	0.891745i	$-0.350518\pi$
$318$	−16.1224	+	9.35994i	−0.904099	+	0.524879i
$319$	−7.22150	+	7.82916i	−0.404326	+	0.438349i
$320$	10.0948	−	10.3898i	0.564314	−	0.580807i
$321$	1.93976	−	5.96997i	0.108267	−	0.333211i
$322$	8.01156	−	3.09743i	0.446467	−	0.172613i
$323$	37.2322	−	5.89700i	2.07165	−	0.328118i
$324$	20.4805	+	4.25060i	1.13780	+	0.236144i
$325$	4.52670	−	4.24451i	0.251096	−	0.235443i
$326$	2.01884	+	2.48086i	0.111813	+	0.137402i
$327$	2.81632	+	0.446062i	0.155743	+	0.0246673i
$328$	−0.0996677	−	0.192175i	−0.00550323	−	0.0106111i
$329$		−	15.2631i		−	0.841479i
$330$	−15.6275	+	4.02688i	−0.860267	+	0.221672i
$331$	22.8668	+	22.8668i	1.25687	+	1.25687i	0.952577	+	0.304298i	$0.0984218\pi$
$331$	22.8668	+	22.8668i	1.25687	+	1.25687i	0.304298	+	0.952577i	$0.401578\pi$
$332$	1.42029	−	29.8411i	0.0779486	−	1.63774i
$333$	−4.63504	−	0.734118i	−0.253998	−	0.0402294i
$334$	9.40647	+	11.5592i	0.514699	+	0.632490i
$335$	2.59178	+	7.97666i	0.141604	+	0.435812i
$336$	9.72715	−	0.603479i	0.530660	−	0.0329225i
$337$	4.51018	−	6.20773i	0.245685	−	0.338157i	−0.668309	−	0.743884i	$-0.732982\pi$
$337$	4.51018	−	6.20773i	0.245685	−	0.338157i	0.913994	+	0.405727i	$0.132982\pi$
$338$	16.4600	−	8.18947i	0.895308	−	0.445448i
$339$	−0.909383	−	0.295476i	−0.0493909	−	0.0160481i
$340$	−23.8679	+	6.51836i	−1.29442	+	0.353508i
$341$	2.66388	+	7.19676i	0.144257	+	0.389726i
$342$	−1.22155	+	4.60306i	−0.0660540	+	0.248905i
$343$	14.1168	−	7.19288i	0.762236	−	0.388379i
$344$	7.58506	−	5.59476i	0.408959	−	0.301649i
$345$	−2.54938	−	16.0962i	−0.137254	−	0.866589i
$346$	19.6294	+	17.5893i	1.05528	+	0.945605i
$347$	8.68168	−	2.82085i	0.466057	−	0.151431i	−0.0665690	−	0.997782i	$-0.521205\pi$
$347$	8.68168	−	2.82085i	0.466057	−	0.151431i	0.532626	+	0.846351i	$0.321205\pi$
$348$	−5.01725	−	11.1249i	−0.268953	−	0.596357i
$349$	29.8888	+	4.73392i	1.59991	+	0.253401i	0.891709	−	0.452609i	$-0.149507\pi$
$349$	29.8888	+	4.73392i	1.59991	+	0.253401i	0.708202	+	0.706010i	$0.249507\pi$
$350$	−2.62160	−	1.69356i	−0.140131	−	0.0905244i
$351$	−6.95954	−	14.8185i	−0.371473	−	0.790952i
$352$	−15.1784	−	11.0279i	−0.809014	−	0.587790i
$353$	−23.2944	+	23.2944i	−1.23983	+	1.23983i	−0.279765	+	0.960068i	$0.590257\pi$
$353$	−23.2944	+	23.2944i	−1.23983	+	1.23983i	−0.960068	+	0.279765i	$0.909743\pi$
$354$	23.2405	+	15.0134i	1.23522	+	0.797951i
$355$	−16.6466	+	12.0945i	−0.883512	+	0.641909i
$356$	−8.73142	−	3.30367i	−0.462764	−	0.175094i
$357$	−14.8313	−	7.55693i	−0.784956	−	0.399955i
$358$	−8.78935	+	9.80881i	−0.464532	+	0.518412i
$359$	−2.85299	+	0.451870i	−0.150575	+	0.0238488i	−0.231267	−	0.972890i	$-0.574287\pi$
$359$	−2.85299	+	0.451870i	−0.150575	+	0.0238488i	0.0806917	+	0.996739i	$0.474287\pi$
$360$	0.466739	−	3.09076i	0.0245993	−	0.162897i
$361$	10.8851	+	3.53678i	0.572899	+	0.186146i
$362$	−0.575581	+	0.334157i	−0.0302519	+	0.0175629i
$363$	8.04022	+	19.2925i	0.422002	+	1.01260i
$364$	−5.99698	−	7.03838i	−0.314327	−	0.368911i
$365$	−7.29270	+	22.4446i	−0.381717	+	1.17481i
$366$	10.7539	−	24.3106i	0.562116	−	1.27073i
$367$	7.63377	−	10.5070i	0.398479	−	0.548460i	−0.561882	−	0.827217i	$-0.689923\pi$
$367$	7.63377	−	10.5070i	0.398479	−	0.548460i	0.960362	+	0.278757i	$0.0899225\pi$
$368$	12.5418	−	14.2009i	0.653785	−	0.740273i
$369$	−0.0416208	−	0.0212068i	−0.00216669	−	0.00110398i
$370$	2.01124	−	19.5879i	0.104559	−	1.01832i
$371$	1.39167	−	8.78664i	0.0722518	−	0.456180i
$372$	−8.78281	−	0.418019i	−0.455368	−	0.0216733i
$373$	13.7347			0.711156			0.355578	−	0.934647i	$-0.384284\pi$
$373$	13.7347			0.711156			0.355578	+	0.934647i	$0.384284\pi$
$374$	12.7517	+	29.3977i	0.659377	+	1.52012i
$375$	−16.3517	+	16.3517i	−0.844396	+	0.844396i
$376$	−15.4999	−	29.8863i	−0.799347	−	1.54127i
$377$	−5.58578	+	10.1426i	−0.287682	+	0.522368i
$378$	−6.38665	+	5.19724i	−0.328494	+	0.267317i
$379$	16.9816	−	33.3283i	0.872286	−	1.71196i	0.188772	−	0.982021i	$-0.439549\pi$
$379$	16.9816	−	33.3283i	0.872286	−	1.71196i	0.683515	−	0.729937i	$-0.260451\pi$
$380$	−19.5658	−	4.06077i	−1.00371	−	0.208313i
$381$	−11.7373	+	16.1551i	−0.601323	+	0.827649i
$382$	3.91081	−	8.84088i	0.200095	−	0.452339i
$383$	−27.6629	+	14.0949i	−1.41351	+	0.720218i	−0.983211	−	0.182470i	$-0.941591\pi$
$383$	−27.6629	+	14.0949i	−1.41351	+	0.720218i	−0.430296	+	0.902688i	$0.641591\pi$
$384$	18.4337	−	11.0598i	0.940691	−	0.564391i
$385$	3.21655	−	6.99715i	0.163931	−	0.356608i
$386$	1.15078	−	4.33637i	0.0585731	−	0.220715i
$387$	0.628461	−	1.93420i	0.0319465	−	0.0983211i
$388$	−27.2264	−	21.8320i	−1.38221	−	1.10835i
$389$	−4.91900	+	6.77042i	−0.249403	+	0.343274i	−0.915302	−	0.402768i	$-0.868048\pi$
$389$	−4.91900	+	6.77042i	−0.249403	+	0.343274i	0.665899	+	0.746042i	$0.268048\pi$
$390$	−15.4477	+	8.31593i	−0.782226	+	0.421094i
$391$	−30.7758	+	9.99966i	−1.55640	+	0.505705i
$392$	8.81545	−	12.3190i	0.445247	−	0.622204i
$393$	19.8689	−	14.4356i	1.00225	−	0.728179i
$394$	17.4339	−	26.9875i	0.878309	−	1.35961i
$395$	6.66153	+	6.66153i	0.335178	+	0.335178i
$396$	−4.04823	−	0.0291748i	−0.203431	−	0.00146609i
$397$	15.9561	+	15.9561i	0.800816	+	0.800816i	0.983223	−	0.182407i	$-0.0583889\pi$
$397$	15.9561	+	15.9561i	0.800816	+	0.800816i	−0.182407	+	0.983223i	$0.558389\pi$
$398$	30.1703	−	6.48863i	1.51230	−	0.325246i
$399$	−7.90203	−	10.8762i	−0.395596	−	0.544491i
$400$	−6.85314	−	0.653833i	−0.342657	−	0.0326917i
$401$	−0.561164	+	1.10135i	−0.0280232	+	0.0549986i	−0.904594	−	0.426275i	$-0.859826\pi$
$401$	−0.561164	+	1.10135i	−0.0280232	+	0.0549986i	0.876570	+	0.481274i	$0.159826\pi$
$402$	0.681215	+	12.4275i	0.0339759	+	0.619828i
$403$	4.68401	+	6.90339i	0.233327	+	0.343882i
$404$	23.0237	−	2.53170i	1.14547	−	0.125957i
$405$	8.59766	+	16.8739i	0.427221	+	0.838469i
$406$	5.62889	+	1.49378i	0.279357	+	0.0741352i
$407$	−25.4815	+	1.02880i	−1.26307	+	0.0509959i
$408$	−36.7151	+	0.264390i	−1.81767	+	0.0130893i
$409$	7.93476	+	15.5728i	0.392349	+	0.770027i	0.999702	−	0.0244042i	$-0.00776886\pi$
$409$	7.93476	+	15.5728i	0.392349	+	0.770027i	−0.607354	+	0.794432i	$0.707769\pi$
$410$	0.0792911	−	0.179247i	0.00391591	−	0.00885240i
$411$	5.01797	−	0.794768i	0.247518	−	0.0392030i
$412$	−6.38084	−	1.32430i	−0.314361	−	0.0652438i
$413$	−12.5570	+	4.08001i	−0.617889	+	0.200764i
$414$	0.417570	−	4.06679i	0.0205225	−	0.199872i
$415$	21.8827	−	15.8987i	1.07418	−	0.780437i
$416$	−18.8902	−	7.69167i	−0.926166	−	0.377115i
$417$	12.6555			0.619745
$418$	−1.60270	+	25.8307i	−0.0783907	+	1.26342i
$419$		−	1.18864i		−	0.0580688i	−0.999578	−	0.0290344i	$-0.990757\pi$
$419$		−	1.18864i		−	0.0580688i	0.999578	−	0.0290344i	$-0.00924324\pi$
$420$	5.93570	+	6.52895i	0.289632	+	0.318580i
$421$	−0.929689	+	5.86983i	−0.0453103	+	0.286078i	−0.999931	−	0.0117464i	$-0.996261\pi$
$421$	−0.929689	+	5.86983i	−0.0453103	+	0.286078i	0.954621	+	0.297824i	$0.0962609\pi$
$422$	34.8706	+	3.58045i	1.69748	+	0.174293i
$423$	−6.47269	−	3.29800i	−0.314713	−	0.160354i
$424$	−6.19800	−	18.6182i	−0.301001	−	0.904180i
$425$	9.51248	+	6.91122i	0.461423	+	0.335244i
$426$	−28.4800	+	11.0110i	−1.37986	+	0.533483i
$427$	5.75903	+	11.3027i	0.278699	+	0.546978i
$428$	5.73787	+	3.27614i	0.277351	+	0.158358i
$429$	13.5056	+	18.2722i	0.652055	+	0.882191i
$430$	8.24800	+	2.18884i	0.397754	+	0.105555i
$431$	16.0327	−	8.16906i	0.772268	−	0.393490i	−0.0230102	−	0.999735i	$-0.507325\pi$
$431$	16.0327	−	8.16906i	0.772268	−	0.393490i	0.795278	+	0.606245i	$0.207325\pi$
$432$	−7.22768	+	16.6624i	−0.347742	+	0.801668i
$433$	16.6782	−	22.9556i	0.801505	−	1.10318i	−0.191074	−	0.981576i	$-0.561197\pi$
$433$	16.6782	−	22.9556i	0.801505	−	1.10318i	0.992579	−	0.121601i	$-0.0388028\pi$
$434$	2.80011	−	3.12489i	0.134410	−	0.150000i
$435$	5.01630	−	9.84504i	0.240513	−	0.472033i
$436$	−1.06213	+	2.80716i	−0.0508669	+	0.134438i
$437$	−25.8133	−	4.08843i	−1.23482	−	0.195576i
$438$	−19.0032	+	29.4167i	−0.908007	+	1.40558i
$439$	14.6528			0.699340			0.349670	−	0.936873i	$-0.386294\pi$
$439$	14.6528			0.699340			0.349670	+	0.936873i	$0.386294\pi$
$440$	−0.807471	−	16.9674i	−0.0384947	−	0.808891i
$441$		−	3.26865i		−	0.155650i
$442$	21.1075	+	27.7129i	1.00398	+	1.31817i
$443$	−1.28797	−	1.77274i	−0.0611935	−	0.0842256i	0.777323	−	0.629101i	$-0.216577\pi$
$443$	−1.28797	−	1.77274i	−0.0611935	−	0.0842256i	−0.838517	+	0.544876i	$0.816577\pi$
$444$	10.3405	−	27.3295i	0.490741	−	1.29700i
$445$	−2.61190	−	8.03862i	−0.123816	−	0.381067i
$446$	22.1505	−	1.21418i	1.04886	−	0.0574930i
$447$	−5.50554	−	34.7606i	−0.260403	−	1.64412i
$448$	−1.45868	+	10.1541i	−0.0689160	+	0.479737i
$449$	−2.13748	+	1.08910i	−0.100874	+	0.0513979i	−0.503700	−	0.863879i	$-0.668028\pi$
$449$	−2.13748	+	1.08910i	−0.100874	+	0.0513979i	0.402825	+	0.915277i	$0.368028\pi$
$450$	−1.28467	+	0.745819i	−0.0605597	+	0.0351583i
$451$	−0.244393	−	0.0686403i	−0.0115080	−	0.00323215i
$452$	0.499042	−	0.874029i	0.0234730	−	0.0411109i
$453$	−14.4242	+	7.34951i	−0.677710	+	0.345310i
$454$	−4.84825	−	12.5401i	−0.227540	−	0.588535i
$455$	1.57488	−	8.22247i	0.0738315	−	0.385475i
$456$	−26.5178	−	13.2718i	−1.24181	−	0.621510i
$457$	6.82345	+	3.47672i	0.319187	+	0.162634i	0.606242	−	0.795280i	$-0.292676\pi$
$457$	6.82345	+	3.47672i	0.319187	+	0.162634i	−0.287055	+	0.957914i	$0.592676\pi$
$458$	−15.8065	+	12.8628i	−0.738589	+	0.601039i
$459$	25.0963	−	18.2335i	1.17140	−	0.851069i
$460$	17.1344	+	0.815514i	0.798896	+	0.0380235i
$461$	−10.9827	+	10.9827i	−0.511516	+	0.511516i	−0.914991	−	0.403475i	$-0.867802\pi$
$461$	−10.9827	+	10.9827i	−0.511516	+	0.511516i	0.403475	+	0.914991i	$0.367802\pi$
$462$	7.27688	−	8.81175i	0.338551	−	0.409960i
$463$	14.9450	−	14.9450i	0.694554	−	0.694554i	−0.268676	−	0.963231i	$-0.586586\pi$
$463$	14.9450	−	14.9450i	0.694554	−	0.694554i	0.963231	+	0.268676i	$0.0865862\pi$
$464$	12.5388	−	2.79129i	0.582098	−	0.129582i
$465$	−4.67929	−	6.44049i	−0.216997	−	0.298671i
$466$	−24.0415	−	2.46854i	−1.11370	−	0.114353i
$467$	−3.08430	−	9.49251i	−0.142725	−	0.439261i	0.853987	−	0.520295i	$-0.174178\pi$
$467$	−3.08430	−	9.49251i	−0.142725	−	0.439261i	−0.996711	+	0.0810337i	$0.974178\pi$
$468$	−4.28062	+	1.02234i	−0.197872	+	0.0472576i
$469$	−4.80501	−	3.49104i	−0.221875	−	0.161201i
$470$	12.3310	−	27.8758i	0.568788	−	1.28582i
$471$	−9.94966	−	3.23284i	−0.458456	−	0.148961i
$472$	−20.4442	+	20.7408i	−0.941023	+	0.954674i
$473$	1.28714	−	10.9768i	0.0591829	−	0.504715i
$474$	7.01908	+	12.0903i	0.322397	+	0.555325i
$475$	4.31126	+	8.46132i	0.197814	+	0.388232i
$476$	10.9608	−	13.6691i	0.502386	−	0.626521i
$477$	−3.42550	−	2.48877i	−0.156843	−	0.113953i
$478$	1.27734	−	0.0700172i	0.0584240	−	0.00320251i
$479$	−2.55578	−	1.30224i	−0.116777	−	0.0595007i	0.394626	−	0.918842i	$-0.370874\pi$
$479$	−2.55578	−	1.30224i	−0.116777	−	0.0595007i	−0.511403	+	0.859341i	$0.670874\pi$
$480$	18.2528	+	6.75640i	0.833124	+	0.308386i
$481$	−26.6289	+	7.71486i	−1.21417	+	0.351767i
$482$	−3.99566	−	2.58120i	−0.181997	−	0.117570i
$483$	8.16036	+	8.16036i	0.371309	+	0.371309i
$484$	−21.6032	+	4.15977i	−0.981962	+	0.189080i
$485$		−	31.5969i		−	1.43474i
$486$	1.85847	+	8.64138i	0.0843020	+	0.391981i
$487$	−11.1766	−	1.77021i	−0.506462	−	0.0802156i	−0.102025	−	0.994782i	$-0.532532\pi$
$487$	−11.1766	−	1.77021i	−0.506462	−	0.0802156i	−0.404436	+	0.914566i	$0.632532\pi$
$488$	22.7548	+	16.2833i	1.03006	+	0.737108i
$489$	−1.95096	+	3.82898i	−0.0882257	+	0.173153i
$490$	13.6946	−	0.750667i	0.618657	−	0.0339117i
$491$	4.99714	+	3.63064i	0.225518	+	0.163848i	0.694807	−	0.719196i	$-0.255490\pi$
$491$	4.99714	+	3.63064i	0.225518	+	0.163848i	−0.469289	+	0.883045i	$0.655490\pi$
$492$	0.181956	−	0.226915i	0.00820320	−	0.0102301i
$493$	−20.8662	−	6.77983i	−0.939765	−	0.305348i
$494$	5.02807	+	27.6820i	0.226224	+	1.24547i
$495$	−2.27230	−	2.87599i	−0.102132	−	0.129266i
$496$	2.30946	−	8.96236i	0.103698	−	0.402422i
$497$	4.50270	−	13.8579i	0.201974	−	0.621611i
$498$	37.4381	−	14.4743i	1.67764	−	0.648611i
$499$	2.44421	+	15.4321i	0.109418	+	0.690838i	0.980027	+	0.198863i	$0.0637248\pi$
$499$	2.44421	+	15.4321i	0.109418	+	0.690838i	−0.870609	+	0.491975i	$0.836275\pi$
$500$	−13.3548	−	20.3500i	−0.597244	−	0.910081i
$501$	−9.09023	+	17.8406i	−0.406121	+	0.797058i
$502$	2.14542	−	20.8946i	0.0957547	−	0.932573i
$503$	−2.76783	−	3.80959i	−0.123411	−	0.169861i	0.742841	−	0.669468i	$-0.233478\pi$
$503$	−2.76783	−	3.80959i	−0.123411	−	0.169861i	−0.866252	+	0.499607i	$0.833478\pi$
$504$	1.01909	+	1.96497i	0.0453940	+	0.0875268i
$505$	14.8288	+	14.8288i	0.659873	+	0.659873i
$506$	−2.10989	−	22.1161i	−0.0937959	−	0.983180i
$507$	19.0090	+	15.7734i	0.844218	+	0.700523i
$508$	−14.1392	−	15.5524i	−0.627325	−	0.690024i
$509$	3.17922	−	20.0728i	0.140916	−	0.889711i	−0.811376	−	0.584525i	$-0.801281\pi$
$509$	3.17922	−	20.0728i	0.140916	−	0.889711i	0.952292	−	0.305187i	$-0.0987189\pi$
$510$	−20.9821	−	25.7839i	−0.929102	−	1.14173i
$511$	−5.16428	−	15.8940i	−0.228454	−	0.703110i
$512$	7.45548	+	21.3639i	0.329489	+	0.944159i
$513$	24.7453	−	3.91928i	1.09253	−	0.173040i
$514$	−5.05584	+	11.4293i	−0.223003	+	0.504127i
$515$	−2.67866	−	5.25718i	−0.118036	−	0.231659i
$516$	10.9970	+	6.27894i	0.484117	+	0.276415i
$517$	−38.0069	−	10.6747i	−1.67154	−	0.469471i
$518$	7.00094	+	12.0590i	0.307604	+	0.529844i
$519$	−10.9430	+	33.6791i	−0.480345	+	1.47835i
$520$	−5.26633	−	17.6996i	−0.230944	−	0.776178i
$521$	24.4147	+	17.7383i	1.06963	+	0.777129i	0.975845	−	0.218464i	$-0.0701045\pi$
$521$	24.4147	+	17.7383i	1.06963	+	0.777129i	0.0937814	+	0.995593i	$0.470105\pi$
$522$	1.84975	−	2.06430i	0.0809615	−	0.0903520i
$523$	1.68531	−	0.547590i	0.0736934	−	0.0239444i	−0.271938	−	0.962315i	$-0.587665\pi$
$523$	1.68531	−	0.547590i	0.0736934	−	0.0239444i	0.345632	+	0.938370i	$0.387665\pi$
$524$	10.6277	+	23.5651i	0.464274	+	1.02945i
$525$	0.655979	−	4.14169i	0.0286293	−	0.180758i
$526$	−2.77356	−	12.8963i	−0.120933	−	0.562305i
$527$	−11.1775	+	11.1775i	−0.486902	+	0.486902i
$528$	5.30023	−	24.6439i	0.230663	−	1.07249i
$529$	−0.564882			−0.0245601
$530$	9.64042	−	14.9232i	0.418753	−	0.648224i
$531$	−0.983046	+	6.20671i	−0.0426606	+	0.269348i
$532$	12.8995	−	5.81760i	0.559265	−	0.252225i
$533$	−0.275820	−	0.00887402i	−0.0119471	−	0.000384377i
$534$	−0.686505	−	12.5240i	−0.0297080	−	0.541968i
$535$	0.935820	+	5.90853i	0.0404590	+	0.255448i
$536$	−12.9538	−	1.95617i	−0.559519	−	0.0844936i
$537$	−16.8295	−	5.46822i	−0.726245	−	0.235971i
$538$	5.29535	+	9.12118i	0.228299	+	0.393242i
$539$	−3.48423	−	17.4178i	−0.150077	−	0.750240i
$540$	−15.8632	+	4.33225i	−0.682642	+	0.186430i
$541$	0.566952	−	0.288876i	0.0243752	−	0.0124198i	−0.441760	−	0.897133i	$-0.645646\pi$
$541$	0.566952	−	0.288876i	0.0243752	−	0.0124198i	0.466136	+	0.884713i	$0.345646\pi$
$542$	−5.23693	+	2.02471i	−0.224946	+	0.0869686i
$543$	−0.723426	−	0.525600i	−0.0310452	−	0.0225557i
$544$	7.58087	−	37.8960i	0.325027	−	1.62478i
$545$	−2.58442	+	0.839729i	−0.110704	+	0.0359700i
$546$	5.38862	−	11.1941i	0.230612	−	0.479064i
$547$	−8.12609	−	11.1846i	−0.347446	−	0.478219i	0.599151	−	0.800636i	$-0.295505\pi$
$547$	−8.12609	−	11.1846i	−0.347446	−	0.478219i	−0.946598	+	0.322417i	$0.895505\pi$
$548$	−0.254236	+	5.34164i	−0.0108604	+	0.228183i
$549$	6.03761			0.257679
$550$	−6.05066	+	5.34369i	−0.258001	+	0.227856i
$551$	−12.5298	−	12.5298i	−0.533786	−	0.533786i
$552$	24.2656	+	7.69164i	1.03281	+	0.327378i
$553$	−6.58916	−	1.04362i	−0.280200	−	0.0443793i
$554$	−23.0215	−	2.36380i	−0.978089	−	0.100428i
$555$	25.1610	−	8.17530i	1.06802	−	0.347022i
$556$	−2.70702	+	13.0431i	−0.114803	+	0.553151i
$557$	3.46002	+	21.8457i	0.146606	+	0.925632i	0.945845	+	0.324619i	$0.105236\pi$
$557$	3.46002	+	21.8457i	0.146606	+	0.925632i	−0.799239	+	0.601013i	$0.794764\pi$
$558$	−0.720151	−	1.86268i	−0.0304864	−	0.0788535i
$559$	−1.49696	−	11.9212i	−0.0633147	−	0.504213i
$560$	−7.99854	+	4.72093i	−0.338000	+	0.199496i
$561$	−29.1904	+	31.6467i	−1.23242	+	1.33612i
$562$	−3.15740	+	11.8977i	−0.133187	+	0.501875i
$563$	9.56224	−	29.4296i	0.403001	−	1.24031i	−0.519553	−	0.854438i	$-0.673901\pi$
$563$	9.56224	−	29.4296i	0.403001	−	1.24031i	0.922553	−	0.385870i	$-0.126099\pi$
$564$	28.2970	−	35.2889i	1.19152	−	1.48593i
$565$	0.900025	−	0.142550i	0.0378643	−	0.00599712i
$566$	−0.0936171	+	0.104476i	−0.00393502	+	0.00439144i
$567$	−11.9491	−	6.08838i	−0.501816	−	0.255688i
$568$	−5.25629	−	31.7074i	−0.220549	−	1.33041i
$569$	−8.54466	−	11.7607i	−0.358211	−	0.493035i	0.591438	−	0.806350i	$-0.298560\pi$
$569$	−8.54466	−	11.7607i	−0.358211	−	0.493035i	−0.949649	+	0.313315i	$0.898560\pi$
$570$	−5.64505	−	26.2479i	−0.236445	−	1.09940i
$571$	27.6749			1.15816			0.579078	−	0.815272i	$-0.303412\pi$
$571$	27.6749			1.15816			0.579078	+	0.815272i	$0.303412\pi$
$572$	−21.7206	+	10.0107i	−0.908185	+	0.418570i
$573$	12.9885			0.542604
$574$	0.0291834	+	0.135695i	0.00121809	+	0.00566379i
$575$	−4.79160	−	6.59507i	−0.199823	−	0.275033i
$576$	3.99093	+	2.81267i	0.166289	+	0.117194i
$577$	−8.39464	−	4.27728i	−0.349473	−	0.178066i	0.270438	−	0.962737i	$-0.412831\pi$
$577$	−8.39464	−	4.27728i	−0.349473	−	0.178066i	−0.619911	+	0.784672i	$0.712831\pi$
$578$	−28.0056	+	31.2539i	−1.16488	+	1.29999i
$579$	5.95363	−	0.942962i	0.247424	−	0.0391882i
$580$	9.07354	+	7.27577i	0.376758	+	0.302110i
$581$	−5.91898	+	18.2167i	−0.245561	+	0.755758i
$582$	12.0269	−	45.3197i	0.498529	−	1.87856i
$583$	−20.9066	−	9.61062i	−0.865861	−	0.398031i
$584$	−26.2527	−	25.8773i	−1.08635	−	1.07081i
$585$	−3.14666	−	2.44456i	−0.130098	−	0.101070i
$586$	14.4997	+	37.5038i	0.598978	+	1.54927i
$587$	−0.772947	−	4.88019i	−0.0319029	−	0.201427i	0.966589	−	0.256333i	$-0.0825142\pi$
$587$	−0.772947	−	4.88019i	−0.0319029	−	0.201427i	−0.998492	+	0.0549055i	$0.982514\pi$
$588$	19.9279	+	4.13593i	0.821815	+	0.170563i
$589$	−12.1420	+	3.94516i	−0.500301	+	0.162558i
$590$	−26.2298	−	2.69322i	−1.07986	−	0.110878i
$591$	42.6357	+	6.75283i	1.75380	+	0.277774i
$592$	25.9546	+	16.5030i	1.06673	+	0.678268i
$593$	−17.6646	−	17.6646i	−0.725398	−	0.725398i	0.244301	−	0.969699i	$-0.421441\pi$
$593$	−17.6646	−	17.6646i	−0.725398	−	0.725398i	−0.969699	+	0.244301i	$0.921441\pi$
$594$	8.47509	+	19.5384i	0.347737	+	0.801670i
$595$	15.8633			0.650331
$596$	37.0027	+	1.76115i	1.51569	+	0.0721394i
$597$	24.3711	+	33.5439i	0.997442	+	1.37286i
$598$	−7.98046	−	22.7953i	−0.326345	−	0.932169i
$599$	−1.53153	+	0.497624i	−0.0625766	+	0.0203324i	−0.340138	−	0.940376i	$-0.610474\pi$
$599$	−1.53153	+	0.497624i	−0.0625766	+	0.0203324i	0.277561	+	0.960708i	$0.410474\pi$
$600$	−2.92150	−	8.77592i	−0.119270	−	0.358275i
$601$	−17.7035	−	12.8624i	−0.722141	−	0.524666i	0.164926	−	0.986306i	$-0.447261\pi$
$601$	−17.7035	−	12.8624i	−0.722141	−	0.524666i	−0.887068	+	0.461639i	$0.847261\pi$
$602$	−5.63636	+	2.17913i	−0.229721	+	0.0888148i
$603$	−2.51872	+	1.28335i	−0.102570	+	0.0522621i
$604$	−4.48924	−	16.4380i	−0.182665	−	0.668853i
$605$	−15.1742	−	12.9033i	−0.616919	−	0.524593i
$606$	15.6247	+	26.9134i	0.634712	+	1.09328i
$607$	9.95984	+	3.23615i	0.404257	+	0.131351i	0.504086	−	0.863653i	$-0.331829\pi$
$607$	9.95984	+	3.23615i	0.404257	+	0.131351i	−0.0998286	+	0.995005i	$0.531829\pi$
$608$	19.3504	−	24.4910i	0.784763	−	0.993242i
$609$	1.22403	+	7.72819i	0.0496000	+	0.313162i
$610$	1.38658	+	25.2956i	0.0561409	+	1.02419i
$611$	−42.8944	−	1.38005i	−1.73532	−	0.0558309i
$612$	−3.42835	−	7.60178i	−0.138583	−	0.307284i
$613$	−1.12250	+	7.08719i	−0.0453374	+	0.286249i	−0.999932	−	0.0116588i	$-0.996289\pi$
$613$	−1.12250	+	7.08719i	−0.0453374	+	0.286249i	0.954595	+	0.297908i	$0.0962888\pi$
$614$	1.97758	−	3.06127i	0.0798087	−	0.123543i
$615$	0.263340			0.0106189
$616$	7.52507	+	9.38456i	0.303194	+	0.378115i
$617$	−17.3000	+	17.3000i	−0.696473	+	0.696473i	−0.963648	−	0.267175i	$-0.913910\pi$
$617$	−17.3000	+	17.3000i	−0.696473	+	0.696473i	0.267175	+	0.963648i	$0.413910\pi$
$618$	−1.84097	−	8.56001i	−0.0740547	−	0.344334i
$619$	−1.05314	+	6.64925i	−0.0423292	+	0.267256i	−0.999772	−	0.0213681i	$-0.993198\pi$
$619$	−1.05314	+	6.64925i	−0.0423292	+	0.267256i	0.957442	+	0.288624i	$0.0931978\pi$
$620$	7.63862	−	3.44497i	0.306774	−	0.138353i
$621$	−20.4543	+	6.64600i	−0.820802	+	0.266695i
$622$	28.4168	−	31.7128i	1.13941	−	1.27157i
$623$	4.84233	+	3.51816i	0.194004	+	0.140952i
$624$	−0.816475	−	27.3912i	−0.0326851	−	1.09653i
$625$	4.15090	−	12.7752i	0.166036	−	0.511007i
$626$	−20.1444	−	34.6985i	−0.805132	−	1.38683i
$627$	−32.6096	+	12.0705i	−1.30230	+	0.482048i
$628$	5.46007	−	9.56285i	0.217881	−	0.381599i
$629$	−23.8489	−	46.8061i	−0.950918	−	1.86628i
$630$	−0.810744	+	1.83279i	−0.0323008	+	0.0730200i
$631$	−3.60348	+	0.570735i	−0.143452	+	0.0227206i	−0.227748	−	0.973720i	$-0.573136\pi$
$631$	−3.60348	+	0.570735i	−0.143452	+	0.0227206i	0.0842953	+	0.996441i	$0.473136\pi$
$632$	−13.9619	+	4.64792i	−0.555375	+	0.184884i
$633$	14.5538	+	44.7920i	0.578462	+	1.78032i
$634$	18.7250	+	23.0102i	0.743663	+	0.913854i
$635$	2.97699	−	18.7960i	0.118138	−	0.745896i
$636$	19.5076	−	17.7351i	0.773528	−	0.703241i
$637$	−8.20890	−	17.4786i	−0.325248	−	0.692529i
$638$	7.65643	−	12.9719i	0.303121	−	0.513563i
$639$	−4.90386	−	4.90386i	−0.193994	−	0.193994i
$640$	−10.8676	+	17.3666i	−0.429579	+	0.686475i
$641$	7.02134	+	9.66405i	0.277326	+	0.381707i	0.924846	−	0.380342i	$-0.124194\pi$
$641$	7.02134	+	9.66405i	0.277326	+	0.381707i	−0.647520	+	0.762049i	$0.724194\pi$
$642$	−0.906736	+	8.83087i	−0.0357860	+	0.348526i
$643$	0.224545	−	0.440695i	0.00885521	−	0.0173793i	−0.886537	−	0.462659i	$-0.846896\pi$
$643$	0.224545	−	0.440695i	0.00885521	−	0.0173793i	0.895392	+	0.445279i	$0.146896\pi$
$644$	−10.1558	+	6.66476i	−0.400193	+	0.262628i
$645$	1.79356	+	11.3241i	0.0706215	+	0.445886i
$646$	−49.7237	+	19.2242i	−1.95635	+	0.756367i
$647$	0.989805	−	3.04631i	0.0389132	−	0.119763i	−0.929713	−	0.368285i	$-0.879945\pi$
$647$	0.989805	−	3.04631i	0.0389132	−	0.119763i	0.968626	+	0.248523i	$0.0799450\pi$
$648$	−29.5802	+	0.213011i	−1.16202	+	0.00836786i
$649$	1.37765	+	34.1219i	0.0540777	+	1.33940i
$650$	−4.99651	+	7.21447i	−0.195979	+	0.282975i
$651$	5.36153	+	1.74207i	0.210135	+	0.0682770i
$652$	−3.52893	−	2.82973i	−0.138204	−	0.110821i
$653$	6.43355	+	4.67425i	0.251764	+	0.182918i	0.706508	−	0.707705i	$-0.250269\pi$
$653$	6.43355	+	4.67425i	0.251764	+	0.182918i	−0.454744	+	0.890622i	$0.650269\pi$
$654$	−4.02649	+	0.220712i	−0.157448	+	0.00863052i
$655$	−10.6257	+	20.8541i	−0.415180	+	0.814836i
$656$	0.194944	+	0.236065i	0.00761128	+	0.00921679i
$657$	−7.85615	−	1.24429i	−0.306498	−	0.0485445i
$658$	4.53849	+	21.1027i	0.176929	+	0.822669i
$659$			28.4010i			1.10635i	0.833066	+	0.553173i	$0.186583\pi$
$659$			28.4010i			1.10635i	−0.833066	+	0.553173i	$0.813417\pi$
$660$	20.4092	−	10.2144i	0.794428	−	0.397596i
$661$	32.6155	+	32.6155i	1.26859	+	1.26859i	0.946814	+	0.321780i	$0.104281\pi$
$661$	32.6155	+	32.6155i	1.26859	+	1.26859i	0.321780	+	0.946814i	$0.395719\pi$
$662$	−38.4152	−	24.8162i	−1.49305	−	0.964509i
$663$	−22.5786	+	40.9978i	−0.876879	+	1.59222i
$664$	6.90960	+	41.6807i	0.268144	+	1.61752i
$665$	11.4155	+	5.81649i	0.442674	+	0.225554i
$666$	6.62669	−	0.363242i	0.256779	−	0.0140754i
$667$	12.3061	+	8.94089i	0.476493	+	0.346193i
$668$	−16.4425	−	13.1847i	−0.636180	−	0.510131i
$669$	13.5313	+	26.5566i	0.523149	+	1.02674i
$670$	−5.95526	−	10.2579i	−0.230072	−	0.396296i
$671$	32.1730	−	6.43582i	1.24202	−	0.248452i
$672$	−13.2693	+	3.72675i	−0.511875	+	0.143762i
$673$	4.83732	+	1.57174i	0.186465	+	0.0605862i	0.400761	−	0.916183i	$-0.368746\pi$
$673$	4.83732	+	1.57174i	0.186465	+	0.0605862i	−0.214296	+	0.976769i	$0.568746\pi$
$674$	−4.38990	+	9.92392i	−0.169093	+	0.382255i
$675$	6.32221	+	4.59336i	0.243342	+	0.176798i
$676$	−20.3225	+	16.2172i	−0.781634	+	0.623737i
$677$	5.64418	+	17.3710i	0.216923	+	0.667621i	0.999011	+	0.0444535i	$0.0141547\pi$
$677$	5.64418	+	17.3710i	0.216923	+	0.667621i	−0.782088	+	0.623168i	$0.785845\pi$
$678$	1.34517	+	0.138120i	0.0516611	+	0.00530445i
$679$	13.1518	+	18.1019i	0.504719	+	0.694686i
$680$	31.0616	−	16.1094i	1.19116	−	0.617769i
$681$	12.7730	−	12.7730i	0.489461	−	0.489461i
$682$	−5.82304	−	9.15813i	−0.222976	−	0.350683i
$683$	13.5833	−	13.5833i	0.519751	−	0.519751i	−0.397745	−	0.917496i	$-0.630207\pi$
$683$	13.5833	−	13.5833i	0.519751	−	0.519751i	0.917496	+	0.397745i	$0.130207\pi$
$684$	0.320192	−	6.72742i	0.0122429	−	0.257230i
$685$	−3.91706	+	2.84591i	−0.149663	+	0.108737i
$686$	−17.3791	+	14.1425i	−0.663537	+	0.539964i
$687$	−24.3959	−	12.4303i	−0.930762	−	0.474247i
$688$	−8.82349	+	9.99074i	−0.336392	+	0.380893i
$689$	−24.5676	−	4.70553i	−0.935953	−	0.179266i
$690$	8.31099	+	21.4965i	0.316394	+	0.818358i
$691$	−5.31787	+	2.70959i	−0.202301	+	0.103078i	−0.552206	−	0.833708i	$-0.686214\pi$
$691$	−5.31787	+	2.70959i	−0.202301	+	0.103078i	0.349905	+	0.936785i	$0.386214\pi$
$692$	−32.3698	−	18.4821i	−1.23052	−	0.702584i
$693$	2.49889	+	0.701841i	0.0949250	+	0.0266607i
$694$	−11.1645	+	6.48161i	−0.423799	+	0.246039i
$695$	−10.7462	+	5.47547i	−0.407627	+	0.207697i
$696$	10.2449	+	13.8894i	0.388330	+	0.526476i
$697$	−0.0817994	−	0.516461i	−0.00309837	−	0.0195624i
$698$	−42.7319	+	2.34235i	−1.61743	+	0.0886592i
$699$	−10.0341	−	30.8818i	−0.379525	−	1.16806i
$700$	4.12821	+	1.56197i	0.156032	+	0.0590371i
$701$	5.82599	+	8.01879i	0.220045	+	0.302865i	0.904740	−	0.425964i	$-0.140065\pi$
$701$	5.82599	+	8.01879i	0.220045	+	0.302865i	−0.684696	+	0.728829i	$0.740065\pi$
$702$	14.0286	+	18.4186i	0.529474	+	0.695165i
$703$		−	42.4270i		−	1.60017i
$704$	24.2649	+	10.7339i	0.914517	+	0.404548i
$705$	40.9536			1.54240
$706$	25.2802	−	39.1334i	0.951432	−	1.47280i
$707$	−14.6677	−	2.32314i	−0.551636	−	0.0873706i
$708$	−36.5965	−	13.8469i	−1.37538	−	0.520398i
$709$	−3.43047	+	6.73267i	−0.128834	+	0.252851i	−0.946409	−	0.322972i	$-0.895318\pi$
$709$	−3.43047	+	6.73267i	−0.128834	+	0.252851i	0.817575	+	0.575823i	$0.195318\pi$
$710$	19.4193	−	21.6718i	0.728795	−	0.813326i
$711$	−1.86634	+	2.56880i	−0.0699933	+	0.0963376i
$712$	13.0544	+	1.97136i	0.489235	+	0.0738799i
$713$	9.76490	−	4.97547i	0.365698	−	0.186333i
$714$	22.7528	+	6.03811i	0.851503	+	0.225970i
$715$	−19.3736	−	9.67227i	−0.724530	−	0.361723i
$716$	9.23549	−	16.1752i	0.345147	−	0.604495i
$717$	0.780299	+	1.53142i	0.0291408	+	0.0571920i
$718$	3.81018	−	1.47310i	0.142195	−	0.0549754i
$719$	34.1239	+	24.7925i	1.27261	+	0.924602i	0.999303	−	0.0373255i	$-0.0118838\pi$
$719$	34.1239	+	24.7925i	1.27261	+	0.924602i	0.273303	+	0.961928i	$0.411884\pi$
$720$	0.273728	+	4.41207i	0.0102012	+	0.164428i
$721$	3.72284	+	1.89688i	0.138646	+	0.0706435i
$722$	−16.1014	−	1.65326i	−0.599231	−	0.0615278i
$723$	0.999797	−	6.31247i	0.0371828	−	0.234763i
$724$	0.696436	−	0.633154i	0.0258829	−	0.0235310i
$725$		−	5.52708i		−	0.205270i
$726$	−16.8531	−	24.2831i	−0.625476	−	0.901231i
$727$	29.5429			1.09569			0.547843	−	0.836581i	$-0.315449\pi$
$727$	29.5429			1.09569			0.547843	+	0.836581i	$0.315449\pi$
$728$	10.3843	+	7.94805i	0.384867	+	0.294575i
$729$	15.7756	−	11.4616i	0.584280	−	0.424504i
$730$	3.40895	−	33.2004i	0.126171	−	1.22880i
$731$	21.6516	−	7.03504i	0.800815	−	0.260200i
$732$	−7.63958	+	36.8095i	−0.282367	+	1.36052i
$733$	14.5892	−	2.31070i	0.538863	−	0.0853475i	0.118930	−	0.992903i	$-0.462054\pi$
$733$	14.5892	−	2.31070i	0.538863	−	0.0853475i	0.419933	+	0.907555i	$0.362054\pi$
$734$	−7.43018	+	16.7969i	−0.274253	+	0.619983i
$735$	8.36572	+	16.4186i	0.308574	+	0.605611i
$736$	−13.1176	+	23.3635i	−0.483521	+	0.861189i
$737$	−12.0537	+	9.52352i	−0.444002	+	0.350803i
$738$	0.0638508	+	0.0169446i	0.00235038	+	0.000623739i
$739$	22.8353	+	44.8167i	0.840009	+	1.64861i	0.758256	+	0.651957i	$0.226052\pi$
$739$	22.8353	+	44.8167i	0.840009	+	1.64861i	0.0817530	+	0.996653i	$0.473948\pi$
$740$	3.04373	+	27.6802i	0.111890	+	1.01754i
$741$	−31.2803	+	21.2240i	−1.14911	+	0.779683i
$742$	0.688599	+	12.5622i	0.0252792	+	0.461174i
$743$	−4.30556	+	8.45013i	−0.157956	+	0.310005i	−0.956398	−	0.292065i	$-0.905658\pi$
$743$	−4.30556	+	8.45013i	−0.157956	+	0.310005i	0.798443	+	0.602071i	$0.205658\pi$
$744$	12.2674	−	2.03363i	0.449745	−	0.0745564i
$745$	19.7142	+	27.1343i	0.722274	+	0.994125i
$746$	−18.9896	+	4.08403i	−0.695258	+	0.149527i
$747$	6.44632	+	6.44632i	0.235859	+	0.235859i
$748$	−26.3720	−	36.8536i	−0.964256	−	1.34750i
$749$	−2.99548	−	2.99548i	−0.109452	−	0.109452i
$750$	17.7456	−	27.4700i	0.647978	−	1.00306i
$751$	−13.8659	+	10.0741i	−0.505972	+	0.367610i	−0.811294	−	0.584639i	$-0.801236\pi$
$751$	−13.8659	+	10.0741i	−0.505972	+	0.367610i	0.305321	+	0.952249i	$0.401236\pi$
$752$	30.3169	+	36.7118i	1.10554	+	1.33874i
$753$	26.8396	−	8.72070i	0.978088	−	0.317800i
$754$	4.70699	−	15.6840i	0.171419	−	0.571179i
$755$	9.06827	−	12.4814i	0.330028	−	0.454245i
$756$	7.28477	−	9.08478i	0.264945	−	0.330410i
$757$	−8.83438	+	27.1894i	−0.321091	+	0.988216i	0.652084	+	0.758147i	$0.273895\pi$
$757$	−8.83438	+	27.1894i	−0.321091	+	0.988216i	−0.973174	+	0.230069i	$0.926105\pi$
$758$	−13.5686	+	51.1291i	−0.492832	+	1.85709i
$759$	26.0275	−	14.6131i	0.944739	−	0.530423i
$760$	28.2592	−	0.203498i	1.02507	−	0.00738166i
$761$	−44.1796	+	22.5106i	−1.60151	+	0.816009i	−0.601657	+	0.798754i	$0.705493\pi$
$761$	−44.1796	+	22.5106i	−1.60151	+	0.816009i	−0.999851	+	0.0172549i	$0.994507\pi$
$762$	11.4243	−	25.8261i	0.413860	−	0.935581i
$763$	1.13109	−	1.55681i	0.0409482	−	0.0563603i
$764$	−2.77824	+	13.3863i	−0.100513	+	0.484299i
$765$	3.42770	−	6.72723i	0.123929	−	0.243224i
$766$	34.0556	−	27.7133i	1.23048	−	1.00132i
$767$	10.3309	+	35.6583i	0.373025	+	1.28755i
$768$	−22.1978	+	20.7725i	−0.800994	+	0.749563i
$769$	−19.6201	+	19.6201i	−0.707517	+	0.707517i	−0.966013	−	0.258495i	$-0.916773\pi$
$769$	−19.6201	+	19.6201i	−0.707517	+	0.707517i	0.258495	+	0.966013i	$0.416773\pi$
$770$	−2.36659	+	10.6307i	−0.0852860	+	0.383104i
$771$	−16.7914			−0.604726
$772$	−0.301641	+	6.33765i	−0.0108563	+	0.228097i
$773$	−2.53444	+	16.0018i	−0.0911574	+	0.575545i	0.899257	+	0.437420i	$0.144108\pi$
$773$	−2.53444	+	16.0018i	−0.0911574	+	0.575545i	−0.990415	+	0.138125i	$0.955892\pi$
$774$	−0.293772	+	2.86110i	−0.0105594	+	0.102840i
$775$	−3.54814	−	1.80787i	−0.127453	−	0.0649406i
$776$	44.1350	+	22.0890i	1.58435	+	0.792951i
$777$	−11.0119	+	15.1566i	−0.395049	+	0.543738i
$778$	4.78781	−	10.8234i	0.171651	−	0.388039i
$779$	0.130503	−	0.401647i	0.00467576	−	0.0143905i
$780$	18.8853	−	16.0910i	0.676202	−	0.576150i
$781$	−31.3588	−	20.9042i	−1.12211	−	0.748011i
$782$	39.5772	−	22.9767i	1.41528	−	0.821647i
$783$	−13.8681	−	4.50603i	−0.495607	−	0.161032i
$784$	−8.52517	+	19.6535i	−0.304470	+	0.701912i
$785$	9.84728	−	1.55966i	0.351464	−	0.0556665i
$786$	−23.1783	+	25.8667i	−0.826742	+	0.922634i
$787$	39.8136	+	20.2861i	1.41920	+	0.723120i	0.984159	−	0.177289i	$-0.0567327\pi$
$787$	39.8136	+	20.2861i	1.41920	+	0.723120i	0.435044	+	0.900409i	$0.356733\pi$
$788$	−16.0794	+	42.4969i	−0.572805	+	1.51389i
$789$	14.3383	−	10.4174i	0.510458	−	0.370869i
$790$	−11.1910	−	7.22941i	−0.398159	−	0.257211i
$791$	−0.456290	+	0.456290i	−0.0162238	+	0.0162238i
$792$	5.60576	−	1.16341i	0.199192	−	0.0413400i
$793$	32.2853	−	15.1629i	1.14648	−	0.538450i
$794$	−26.8055	−	17.3164i	−0.951293	−	0.614535i
$795$	23.5762	+	3.73410i	0.836162	+	0.132435i
$796$	−39.7841	+	17.9424i	−1.41011	+	0.635950i
$797$	36.3014	−	11.7951i	1.28586	−	0.417802i	0.415222	−	0.909720i	$-0.363704\pi$
$797$	36.3014	−	11.7951i	1.28586	−	0.417802i	0.870642	+	0.491918i	$0.163704\pi$
$798$	14.1594	+	12.6878i	0.501237	+	0.449142i
$799$	−12.7211	−	80.3179i	−0.450040	−	2.84144i
$800$	9.66957	−	1.13380i	0.341871	−	0.0400859i
$801$	2.53828	−	1.29332i	0.0896858	−	0.0456972i
$802$	0.448379	−	1.68958i	0.0158328	−	0.0596613i
$803$	−43.1899	+	1.74377i	−1.52414	+	0.0615363i
$804$	−4.63718	−	16.9797i	−0.163541	−	0.598829i
$805$	−10.4598	−	3.39860i	−0.368661	−	0.119785i
$806$	−8.52884	−	8.15183i	−0.300416	−	0.287136i
$807$	−8.32914	+	11.4641i	−0.293199	+	0.403554i
$808$	−31.0798	+	10.3464i	−1.09338	+	0.363987i
$809$	−7.05512	−	21.7134i	−0.248045	−	0.763403i	−0.995121	−	0.0986647i	$-0.968543\pi$
$809$	−7.05512	−	21.7134i	−0.248045	−	0.763403i	0.747076	−	0.664739i	$-0.231457\pi$
$810$	−16.9046	−	20.7733i	−0.593967	−	0.729899i
$811$	−27.4087	−	4.34111i	−0.962449	−	0.152437i	−0.344614	−	0.938745i	$-0.611990\pi$
$811$	−27.4087	−	4.34111i	−0.962449	−	0.152437i	−0.617835	+	0.786308i	$0.711990\pi$
$812$	−8.22667	−	0.391549i	−0.288700	−	0.0137407i
$813$	−5.33420	−	5.33420i	−0.187078	−	0.187078i
$814$	34.9248	−	8.99938i	1.22412	−	0.315428i
$815$		−	4.09540i		−	0.143456i
$816$	50.6837	−	11.2828i	1.77428	−	0.394978i
$817$	18.1604	+	2.87632i	0.635352	+	0.100630i
$818$	−15.6012	−	19.1716i	−0.545483	−	0.670319i
$819$	2.82023	+	0.0907360i	0.0985470	+	0.00317057i
$820$	−0.0563285	+	0.271405i	−0.00196708	+	0.00947787i
$821$	−9.54749	+	1.51217i	−0.333210	+	0.0527752i	−0.320798	−	0.947148i	$-0.603951\pi$
$821$	−9.54749	+	1.51217i	−0.333210	+	0.0527752i	−0.0124120	+	0.999923i	$0.503951\pi$
$822$	−6.70152	+	2.59094i	−0.233742	+	0.0903696i
$823$	−2.71217	+	8.34721i	−0.0945404	+	0.290965i	−0.987134	−	0.159897i	$-0.948884\pi$
$823$	−2.71217	+	8.34721i	−0.0945404	+	0.290965i	0.892593	+	0.450863i	$0.148884\pi$
$824$	9.21593	−	0.0663651i	0.321052	−	0.00231194i
$825$	−9.85455	−	4.53008i	−0.343091	−	0.157717i
$826$	16.1481	−	9.37485i	0.561864	−	0.326193i
$827$	19.9059	+	39.0675i	0.692195	+	1.35851i	0.922731	+	0.385445i	$0.125952\pi$
$827$	19.9059	+	39.0675i	0.692195	+	1.35851i	−0.230536	+	0.973064i	$0.574048\pi$
$828$	0.631933	+	5.74691i	0.0219612	+	0.199719i
$829$	21.1180	−	29.0664i	0.733457	−	1.00952i	−0.265512	−	0.964108i	$-0.585541\pi$
$829$	21.1180	−	29.0664i	0.733457	−	1.00952i	0.998968	−	0.0454091i	$-0.0144591\pi$
$830$	−25.5275	+	28.4884i	−0.886073	+	0.988846i
$831$	−9.60838	−	29.5715i	−0.333311	−	1.02583i
$832$	28.4047	+	5.01749i	0.984754	+	0.173950i
$833$	29.6015	−	21.5068i	1.02563	−	0.745166i
$834$	−17.4976	+	3.76314i	−0.605891	+	0.130307i
$835$		−	19.0819i		−	0.660357i
$836$	−5.46490	−	36.1901i	−0.189008	−	1.25166i
$837$	−7.42885	+	7.42885i	−0.256779	+	0.256779i
$838$	0.353443	+	1.64341i	0.0122095	+	0.0567707i
$839$	−4.64559	+	29.3311i	−0.160383	+	1.01262i	0.767852	+	0.640627i	$0.221326\pi$
$839$	−4.64559	+	29.3311i	−0.160383	+	1.01262i	−0.928235	+	0.371994i	$0.878674\pi$
$840$	−10.1481	−	7.26194i	−0.350142	−	0.250561i
$841$	−5.77452	−	17.7722i	−0.199121	−	0.612833i
$842$	−0.460011	−	8.39206i	−0.0158530	−	0.289210i
$843$	−16.3350	+	2.58721i	−0.562608	+	0.0891083i
$844$	−49.2768	+	5.41850i	−1.69618	+	0.186512i
$845$	−22.9656	−	5.16941i	−0.790039	−	0.177833i
$846$	9.92981	+	2.63515i	0.341394	+	0.0905985i
$847$	14.0641	+	1.07623i	0.483249	+	0.0369799i
$848$	14.1055	+	23.8986i	0.484385	+	0.820680i
$849$	−0.179254	−	0.0582431i	−0.00615198	−	0.00199890i
$850$	−15.2070	−	6.72691i	−0.521596	−	0.230731i
$851$	5.69744	+	35.9722i	0.195306	+	1.23311i
$852$	36.1023	−	23.6923i	1.23685	−	0.811685i
$853$	3.32376	−	6.52325i	0.113803	−	0.223352i	−0.827079	−	0.562086i	$-0.809999\pi$
$853$	3.32376	−	6.52325i	0.113803	−	0.223352i	0.940882	+	0.338735i	$0.109999\pi$
$854$	−11.3233	−	13.9147i	−0.387476	−	0.476151i
$855$	4.93326	−	3.58422i	0.168714	−	0.122578i
$856$	−8.90735	−	2.82342i	−0.304447	−	0.0965026i
$857$		−	58.4368i		−	1.99616i	−0.0619092	−	0.998082i	$-0.519719\pi$
$857$		−	58.4368i		−	1.99616i	0.0619092	−	0.998082i	$-0.480281\pi$
$858$	−24.1061	−	21.2473i	−0.822967	−	0.725370i
$859$		−	27.8518i		−	0.950290i	−0.879908	−	0.475145i	$-0.842396\pi$
$859$		−	27.8518i		−	0.950290i	0.879908	−	0.475145i	$-0.157604\pi$
$860$	−12.0545	−	0.573737i	−0.411056	−	0.0195643i
$861$	−0.150868	+	0.109612i	−0.00514156	+	0.00373556i
$862$	−19.7377	+	16.0619i	−0.672269	+	0.547070i
$863$	−13.8255	+	27.1340i	−0.470624	+	0.923652i	0.526665	+	0.850073i	$0.323442\pi$
$863$	−13.8255	+	27.1340i	−0.470624	+	0.923652i	−0.997289	+	0.0735795i	$0.976558\pi$
$864$	5.03841	−	25.1865i	0.171410	−	0.856863i
$865$	−5.27936	−	33.3326i	−0.179504	−	1.13334i
$866$	−16.2334	+	36.6977i	−0.551635	+	1.24704i
$867$	−53.6239	−	17.4235i	−1.82116	−	0.591732i
$868$	−2.94225	+	5.15310i	−0.0998664	+	0.174907i
$869$	−7.20707	+	15.6780i	−0.244483	+	0.531838i
$870$	−4.00810	+	15.1033i	−0.135887	+	0.512051i
$871$	−10.2455	+	13.1881i	−0.347155	+	0.446861i
$872$	0.633794	−	4.19700i	0.0214630	−	0.142128i
$873$	10.5184	−	1.66595i	0.355993	−	0.0563837i
$874$	36.9052	−	2.02296i	1.24834	−	0.0684276i
$875$	4.82253	+	14.8422i	0.163031	+	0.501758i
$876$	17.5267	−	46.3221i	0.592173	−	1.56508i
$877$	−3.96582	+	25.0392i	−0.133916	+	0.845513i	0.825681	+	0.564137i	$0.190791\pi$
$877$	−3.96582	+	25.0392i	−0.133916	+	0.845513i	−0.959598	+	0.281376i	$0.909209\pi$
$878$	−20.2590	+	4.35703i	−0.683707	+	0.147043i
$879$	−38.2003	+	38.2003i	−1.28846	+	1.28846i
$880$	6.16170	+	23.2191i	0.207711	+	0.782715i
$881$			37.2831i			1.25610i	0.778173	+	0.628050i	$0.216147\pi$
$881$			37.2831i			1.25610i	−0.778173	+	0.628050i	$0.783853\pi$
$882$	0.971937	+	4.51923i	0.0327268	+	0.152171i
$883$	5.60255	−	4.07049i	0.188541	−	0.136983i	−0.489511	−	0.871997i	$-0.662825\pi$
$883$	5.60255	−	4.07049i	0.188541	−	0.136983i	0.678052	+	0.735014i	$0.262825\pi$
$884$	−37.4237	−	32.0394i	−1.25870	−	1.07760i
$885$	−10.9474	−	33.6927i	−0.367994	−	1.13257i
$886$	2.30788	+	2.06801i	0.0775347	+	0.0694763i
$887$	5.19339	−	7.14809i	0.174377	−	0.240009i	−0.712879	−	0.701287i	$-0.752609\pi$
$887$	5.19339	−	7.14809i	0.174377	−	0.240009i	0.887256	+	0.461278i	$0.152609\pi$
$888$	−6.17039	+	40.8605i	−0.207065	+	1.37119i
$889$	6.11806	+	12.0074i	0.205193	+	0.402714i
$890$	6.00151	+	10.3375i	0.201171	+	0.346515i
$891$	−23.5178	+	25.4967i	−0.787876	+	0.854173i
$892$	−30.2642	+	8.26519i	−1.01332	+	0.276739i
$893$	20.2953	−	62.4626i	0.679157	−	2.09023i
$894$	17.9481	+	46.4229i	0.600273	+	1.55261i
$895$	16.6563	−	2.63809i	0.556758	−	0.0881817i
$896$	−1.00257	−	14.4728i	−0.0334936	−	0.483503i
$897$	23.6712	−	22.1956i	0.790360	−	0.741088i
$898$	2.63144	−	2.14138i	0.0878123	−	0.0714587i
$899$	7.33906	+	1.16239i	0.244771	+	0.0387680i
$900$	1.55441	−	1.41317i	0.0518136	−	0.0471055i
$901$		−	47.3973i		−	1.57903i
$902$	0.358308	+	0.0222317i	0.0119303	+	0.000740233i
$903$	−5.74104	−	5.74104i	−0.191050	−	0.191050i
$904$	−0.430082	+	1.35682i	−0.0143043	+	0.0451273i
$905$	0.841687	+	0.133310i	0.0279786	+	0.00443138i
$906$	17.7576	−	14.4505i	0.589955	−	0.480086i
$907$	2.47377	+	7.61348i	0.0821402	+	0.252801i	0.983689	−	0.179875i	$-0.0575693\pi$
$907$	2.47377	+	7.61348i	0.0821402	+	0.252801i	−0.901549	+	0.432676i	$0.857569\pi$
$908$	10.4320	+	15.8963i	0.346198	+	0.527536i
$909$	−4.15455	+	5.71825i	−0.137798	+	0.189662i
$910$	0.267532	+	11.8367i	0.00886859	+	0.392382i
$911$	39.6243	+	12.8747i	1.31281	+	0.426559i	0.880021	−	0.474935i	$-0.157528\pi$
$911$	39.6243	+	12.8747i	1.31281	+	0.426559i	0.432792	+	0.901494i	$0.357528\pi$
$912$	40.6099	+	10.4645i	1.34473	+	0.346516i
$913$	41.2224	+	27.4794i	1.36426	+	0.909436i
$914$	−10.4679	−	2.77795i	−0.346247	−	0.0918865i
$915$	−30.3273	+	15.4526i	−1.00259	+	0.510846i
$916$	18.0293	−	22.4842i	0.595704	−	0.742898i
$917$	−2.59277	−	16.3701i	−0.0856208	−	0.540588i
$918$	−29.2764	+	32.6721i	−0.966266	+	1.07834i
$919$	31.4525	−	10.2195i	1.03752	−	0.337112i	0.259763	−	0.965672i	$-0.416356\pi$
$919$	31.4525	−	10.2195i	1.03752	−	0.337112i	0.777760	+	0.628561i	$0.216356\pi$
$920$	−23.9325	+	3.96741i	−0.789032	+	0.130802i
$921$	4.83629	+	0.765993i	0.159361	+	0.0252403i
$922$	11.9190	−	18.4504i	0.392531	−	0.607632i
$923$	−38.5383	−	13.9071i	−1.26850	−	0.457759i
$924$	−7.44083	+	14.3469i	−0.244785	+	0.471979i
$925$	9.35762	−	9.35762i	0.307677	−	0.307677i
$926$	−16.2191	+	25.1069i	−0.532992	+	0.825064i
$927$	1.60884	−	1.16889i	0.0528413	−	0.0383915i
$928$	−16.5061	+	7.58765i	−0.541840	+	0.249077i
$929$	53.7407	+	27.3822i	1.76317	+	0.898382i	0.947426	+	0.319976i	$0.103675\pi$
$929$	53.7407	+	27.3822i	1.76317	+	0.898382i	0.815749	+	0.578406i	$0.196325\pi$
$930$	8.38467	+	7.51323i	0.274944	+	0.246369i
$931$	29.1875	−	4.62285i	0.956583	−	0.151508i
$932$	33.9739	−	3.73578i	1.11285	−	0.122370i
$933$	54.4113	+	17.6793i	1.78135	+	0.578794i
$934$	7.08696	+	12.2072i	0.231893	+	0.399432i
$935$	11.0944	−	39.5016i	0.362827	−	1.29184i
$936$	5.61439	−	2.68633i	0.183512	−	0.0878055i
$937$	−0.764827	+	2.35390i	−0.0249858	+	0.0768984i	−0.962772	−	0.270315i	$-0.912872\pi$
$937$	−0.764827	+	2.35390i	−0.0249858	+	0.0768984i	0.937786	+	0.347214i	$0.112872\pi$
$938$	7.68147	+	3.39794i	0.250809	+	0.110947i
$939$	31.6854	−	43.6113i	1.03402	−	1.42320i
$940$	−8.75997	+	42.2078i	−0.285719	+	1.37667i
$941$	−21.3840	−	10.8957i	−0.697098	−	0.355189i	0.0692638	−	0.997598i	$-0.477935\pi$
$941$	−21.3840	−	10.8957i	−0.697098	−	0.355189i	−0.766362	+	0.642409i	$0.777935\pi$
$942$	14.7177	+	1.51118i	0.479528	+	0.0492370i
$943$	−0.0567121	+	0.358066i	−0.00184680	+	0.0116602i
$944$	22.0989	−	34.7554i	0.719258	−	1.13119i
$945$	10.5431			0.342967
$946$	1.48437	+	15.5593i	0.0482609	+	0.505876i
$947$	−8.32507	+	8.32507i	−0.270528	+	0.270528i	−0.829313	−	0.558784i	$-0.811268\pi$
$947$	−8.32507	+	8.32507i	−0.270528	+	0.270528i	0.558784	+	0.829313i	$0.311268\pi$
$948$	−13.2996	−	14.6289i	−0.431952	−	0.475125i
$949$	−45.1346	+	13.0763i	−1.46513	+	0.424474i
$950$	−8.47673	−	10.4167i	−0.275021	−	0.337961i
$951$	−18.0954	+	35.5143i	−0.586785	+	1.15163i
$952$	−11.0898	+	22.1581i	−0.359424	+	0.718147i
$953$	19.9836	−	27.5051i	0.647332	−	0.890976i	−0.351648	−	0.936132i	$-0.614379\pi$
$953$	19.9836	−	27.5051i	0.647332	−	0.890976i	0.998980	+	0.0451561i	$0.0143785\pi$
$954$	5.47613	+	2.42240i	0.177296	+	0.0784279i
$955$	−11.0290	+	5.61954i	−0.356889	+	0.181844i
$956$	−1.74523	+	0.476623i	−0.0564446	+	0.0154151i
$957$	20.1002	+	2.35696i	0.649748	+	0.0761896i
$958$	3.92085	+	1.04051i	0.126677	+	0.0336173i
$959$	1.05951	−	3.26084i	0.0342134	−	0.105298i
$960$	−27.2454	−	3.91390i	−0.879341	−	0.126321i
$961$	−15.0746	+	20.7484i	−0.486277	+	0.669302i
$962$	34.5230	−	18.5847i	1.11307	−	0.599194i
$963$	−1.91757	+	0.623055i	−0.0617927	+	0.0200777i
$964$	6.29192	+	2.38065i	0.202649	+	0.0766756i
$965$	−4.64744	+	3.37656i	−0.149606	+	0.108695i
$966$	−13.7090	−	8.85602i	−0.441080	−	0.284938i
$967$	36.7214	+	36.7214i	1.18088	+	1.18088i	0.979517	+	0.201364i	$0.0645373\pi$
$967$	36.7214	+	36.7214i	1.18088	+	1.18088i	0.201364	+	0.979517i	$0.435463\pi$
$968$	28.6316	−	12.1750i	0.920255	−	0.391320i
$969$	−50.6472	−	50.6472i	−1.62702	−	1.62702i
$970$	9.39537	+	43.6859i	0.301667	+	1.40267i
$971$	−4.50073	−	6.19473i	−0.144435	−	0.198798i	0.730670	−	0.682731i	$-0.239208\pi$
$971$	−4.50073	−	6.19473i	−0.144435	−	0.198798i	−0.875105	+	0.483933i	$0.839208\pi$
$972$	−5.13905	−	11.3949i	−0.164835	−	0.365493i
$973$	3.87742	−	7.60987i	0.124304	−	0.243961i
$974$	15.9792	−	0.875899i	0.512006	−	0.0280656i
$975$	−11.5803	−	2.21801i	−0.370865	−	0.0710331i
$976$	−36.3026	−	15.7471i	−1.16202	−	0.504052i
$977$	−4.59461	−	9.01744i	−0.146995	−	0.288493i	0.805755	−	0.592248i	$-0.201760\pi$
$977$	−4.59461	−	9.01744i	−0.146995	−	0.288493i	−0.952750	+	0.303755i	$0.901760\pi$
$978$	1.55885	−	5.87407i	0.0498466	−	0.187832i
$979$	12.1473	−	9.59748i	0.388229	−	0.306737i
$980$	−18.7109	+	5.10996i	−0.597697	+	0.163232i
$981$	−0.415803	−	0.816059i	−0.0132756	−	0.0260548i
$982$	−7.98862	−	3.53381i	−0.254927	−	0.112768i
$983$	−8.15526	+	1.29167i	−0.260112	+	0.0411978i	−0.285129	−	0.958489i	$-0.592036\pi$
$983$	−8.15526	+	1.29167i	−0.260112	+	0.0411978i	0.0250161	+	0.999687i	$0.492036\pi$
$984$	−0.184098	+	0.367838i	−0.00586884	+	0.0117262i
$985$	−39.1249	+	12.7125i	−1.24662	+	0.405053i
$986$	30.8656	+	3.16921i	0.982960	+	0.100928i
$987$	−23.4623	+	17.0464i	−0.746814	+	0.542592i
$988$	−15.1831	−	36.7781i	−0.483039	−	1.17007i
$989$	−15.7837			−0.501894
$990$	3.99686	+	3.30067i	0.127028	+	0.104902i
$991$			46.0865i			1.46399i	0.681312	+	0.731993i	$0.261410\pi$
$991$			46.0865i			1.46399i	−0.681312	+	0.731993i	$0.738590\pi$
$992$	−0.528094	+	13.0781i	−0.0167670	+	0.415229i
$993$	9.61226	−	60.6894i	0.305036	−	1.92592i
$994$	−2.10477	+	20.4988i	−0.0667594	+	0.650182i
$995$	−35.2072	−	17.9389i	−1.11614	−	0.568703i
$996$	−47.4580	+	31.1445i	−1.50376	+	0.986851i
$997$	12.3900	+	9.00186i	0.392395	+	0.285092i	0.766436	−	0.642320i	$-0.222028\pi$
$997$	12.3900	+	9.00186i	0.392395	+	0.285092i	−0.374041	+	0.927412i	$0.622028\pi$
$998$	−7.96813	−	20.6097i	−0.252227	−	0.652388i
$999$	−15.8505	−	31.1084i	−0.501488	−	0.984226i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bk.a.31.5	✓	640
4.3	odd	2	inner	572.2.bk.a.31.61	yes	640
11.5	even	5	inner	572.2.bk.a.291.59	yes	640
13.8	odd	4	inner	572.2.bk.a.515.36	yes	640
44.27	odd	10	inner	572.2.bk.a.291.36	yes	640
52.47	even	4	inner	572.2.bk.a.515.59	yes	640
143.60	odd	20	inner	572.2.bk.a.203.61	yes	640
572.203	even	20	inner	572.2.bk.a.203.5	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bk.a.31.5	✓	640	1.1	even	1	trivial
572.2.bk.a.31.61	yes	640	4.3	odd	2	inner
572.2.bk.a.203.5	yes	640	572.203	even	20	inner
572.2.bk.a.203.61	yes	640	143.60	odd	20	inner
572.2.bk.a.291.36	yes	640	44.27	odd	10	inner
572.2.bk.a.291.59	yes	640	11.5	even	5	inner
572.2.bk.a.515.36	yes	640	13.8	odd	4	inner
572.2.bk.a.515.59	yes	640	52.47	even	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	572.bk (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.38260 + 0.297351i) q^{2} +(-1.11684 - 1.53720i) q^{3} +(1.82316 - 0.822235i) q^{4} +(1.61342 + 0.822078i) q^{5} +(2.00123 + 1.79324i) q^{6} +(-1.26651 + 0.200595i) q^{7} +(-2.27621 + 1.67894i) q^{8} +(-0.188596 + 0.580439i) q^{9} +O(q^{10})\)	\(q+(-1.38260 + 0.297351i) q^{2} +(-1.11684 - 1.53720i) q^{3} +(1.82316 - 0.822235i) q^{4} +(1.61342 + 0.822078i) q^{5} +(2.00123 + 1.79324i) q^{6} +(-1.26651 + 0.200595i) q^{7} +(-2.27621 + 1.67894i) q^{8} +(-0.188596 + 0.580439i) q^{9} +(-2.47516 - 0.656853i) q^{10} +(-0.386261 + 3.29406i) q^{11} +(-3.30012 - 1.88426i) q^{12} +(0.449226 + 3.57746i) q^{13} +(1.69143 - 0.653940i) q^{14} +(-0.538234 - 3.39827i) q^{15} +(2.64786 - 2.99814i) q^{16} +(-6.49748 + 2.11116i) q^{17} +(0.0881588 - 0.858594i) q^{18} +(-5.44979 - 0.863162i) q^{19} +(3.61747 + 0.172174i) q^{20} +(1.72284 + 1.72284i) q^{21} +(-0.445446 - 4.66922i) q^{22} +4.73657 q^{23} +(5.12303 + 1.62388i) q^{24} +(-1.01162 - 1.39237i) q^{25} +(-1.68486 - 4.81261i) q^{26} +(-4.31837 + 1.40312i) q^{27} +(-2.14412 + 1.40708i) q^{28} +(2.59810 + 1.88763i) q^{29} +(1.75464 + 4.53841i) q^{30} +(2.06160 - 1.05044i) q^{31} +(-2.76943 + 4.93257i) q^{32} +(5.49501 - 3.08517i) q^{33} +(8.35566 - 4.85092i) q^{34} +(-2.20831 - 0.717524i) q^{35} +(0.133416 + 1.21331i) q^{36} +(1.20286 + 7.59456i) q^{37} +(7.79154 - 0.427093i) q^{38} +(4.99755 - 4.68600i) q^{39} +(-5.05271 + 0.837611i) q^{40} +(-0.0119732 + 0.0755960i) q^{41} +(-2.89429 - 1.86971i) q^{42} -3.33231 q^{43} +(2.00427 + 6.32320i) q^{44} +(-0.781451 + 0.781451i) q^{45} +(-6.54878 + 1.40842i) q^{46} +(-1.86203 + 11.7564i) q^{47} +(-7.56597 - 0.721841i) q^{48} +(-5.09359 + 1.65501i) q^{49} +(1.81269 + 1.62429i) q^{50} +(10.5019 + 7.63009i) q^{51} +(3.76052 + 6.15292i) q^{52} +(-2.14387 + 6.59814i) q^{53} +(5.55336 - 3.22403i) q^{54} +(-3.33117 + 4.99716i) q^{55} +(2.54605 - 2.58299i) q^{56} +(4.75969 + 9.34142i) q^{57} +(-4.15342 - 1.83729i) q^{58} +(10.1698 - 1.61073i) q^{59} +(-3.77547 - 5.75306i) q^{60} +(-3.05701 - 9.40852i) q^{61} +(-2.53801 + 2.06535i) q^{62} +(0.122425 - 0.772962i) q^{63} +(2.36231 - 7.64327i) q^{64} +(-2.21616 + 6.14124i) q^{65} +(-6.68002 + 5.89951i) q^{66} +(3.27517 + 3.27517i) q^{67} +(-10.1101 + 9.19145i) q^{68} +(-5.28999 - 7.28105i) q^{69} +(3.26657 + 0.335405i) q^{70} +(-5.15881 + 10.1247i) q^{71} +(-0.545239 - 1.63785i) q^{72} +(2.03879 + 12.8724i) q^{73} +(-3.92133 - 10.1426i) q^{74} +(-1.01054 + 3.11011i) q^{75} +(-10.6456 + 2.90732i) q^{76} +(-0.171568 - 4.24943i) q^{77} +(-5.51622 + 7.96488i) q^{78} +(4.94799 + 1.60770i) q^{79} +(6.73681 - 2.66051i) q^{80} +(8.46107 + 6.14732i) q^{81} +(-0.00592437 - 0.108079i) q^{82} +(6.78146 - 13.3094i) q^{83} +(4.55760 + 1.72444i) q^{84} +(-12.2187 - 1.93525i) q^{85} +(4.60725 - 0.990867i) q^{86} -6.10197i q^{87} +(-4.65131 - 8.14649i) q^{88} +(-3.30061 - 3.30061i) q^{89} +(0.848069 - 1.31280i) q^{90} +(-1.28657 - 4.44076i) q^{91} +(8.63555 - 3.89458i) q^{92} +(-3.91720 - 1.99591i) q^{93} +(-0.921333 - 16.8080i) q^{94} +(-8.08321 - 5.87279i) q^{95} +(10.6753 - 1.25173i) q^{96} +(-7.92182 - 15.5474i) q^{97} +(6.55028 - 3.80280i) q^{98} +(-1.83915 - 0.845447i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 6 q^{2} - 12 q^{5} - 14 q^{6} - 6 q^{8} + 120 q^{9}+O(q^{10}) \) 640 * q - 6 * q^2 - 12 * q^5 - 14 * q^6 - 6 * q^8 + 120 * q^9	\( 640 q - 6 q^{2} - 12 q^{5} - 14 q^{6} - 6 q^{8} + 120 q^{9} - 12 q^{13} + 4 q^{14} - 36 q^{16} - 10 q^{18} - 60 q^{20} - 56 q^{21} - 44 q^{22} - 14 q^{24} + 26 q^{26} - 14 q^{28} - 24 q^{29} - 16 q^{32} - 28 q^{33} + 12 q^{34} - 12 q^{37} + 4 q^{40} - 36 q^{41} - 8 q^{42} + 26 q^{44} - 16 q^{45} - 50 q^{46} + 48 q^{48} + 36 q^{50} - 52 q^{52} - 40 q^{53} + 116 q^{54} - 36 q^{57} - 70 q^{58} + 52 q^{60} - 8 q^{61} - 48 q^{65} - 228 q^{66} - 44 q^{68} - 68 q^{70} - 38 q^{72} - 12 q^{73} - 12 q^{74} + 108 q^{76} + 108 q^{78} + 62 q^{80} - 168 q^{81} - 36 q^{84} - 52 q^{85} - 62 q^{86} + 16 q^{89} - 80 q^{92} - 4 q^{93} - 124 q^{94} - 132 q^{96} - 4 q^{97} - 108 q^{98}+O(q^{100}) \) 640 * q - 6 * q^2 - 12 * q^5 - 14 * q^6 - 6 * q^8 + 120 * q^9 - 12 * q^13 + 4 * q^14 - 36 * q^16 - 10 * q^18 - 60 * q^20 - 56 * q^21 - 44 * q^22 - 14 * q^24 + 26 * q^26 - 14 * q^28 - 24 * q^29 - 16 * q^32 - 28 * q^33 + 12 * q^34 - 12 * q^37 + 4 * q^40 - 36 * q^41 - 8 * q^42 + 26 * q^44 - 16 * q^45 - 50 * q^46 + 48 * q^48 + 36 * q^50 - 52 * q^52 - 40 * q^53 + 116 * q^54 - 36 * q^57 - 70 * q^58 + 52 * q^60 - 8 * q^61 - 48 * q^65 - 228 * q^66 - 44 * q^68 - 68 * q^70 - 38 * q^72 - 12 * q^73 - 12 * q^74 + 108 * q^76 + 108 * q^78 + 62 * q^80 - 168 * q^81 - 36 * q^84 - 52 * q^85 - 62 * q^86 + 16 * q^89 - 80 * q^92 - 4 * q^93 - 124 * q^94 - 132 * q^96 - 4 * q^97 - 108 * q^98

Introduction

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