LMFDB - Embedded newform 216.3.x.a.101.40

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [216,3,Mod(5,216)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(216, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 9, 5]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("216.5");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 216 = 2^{3} \cdot 3^{3} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	216.x (of order $18$, 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:	$5.88557371018$
Analytic rank:	$0$
Dimension:	$420$
Relative dimension:	$70$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			101.40
Character	$\chi$	$=$	216.101
Dual form			216.3.x.a.77.40

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.580930 + 1.91377i) q^{2} +(-2.34267 - 1.87400i) q^{3} +(-3.32504 + 2.22353i) q^{4} +(0.130791 + 0.741755i) q^{5} +(2.22549 - 5.57200i) q^{6} +(-1.32385 - 1.11085i) q^{7} +(-6.18695 - 5.07165i) q^{8} +(1.97622 + 8.78035i) q^{9} +O(q^{10})$	\(q+(0.580930 + 1.91377i) q^{2} +(-2.34267 - 1.87400i) q^{3} +(-3.32504 + 2.22353i) q^{4} +(0.130791 + 0.741755i) q^{5} +(2.22549 - 5.57200i) q^{6} +(-1.32385 - 1.11085i) q^{7} +(-6.18695 - 5.07165i) q^{8} +(1.97622 + 8.78035i) q^{9} +(-1.34357 + 0.681212i) q^{10} +(2.40525 - 13.6409i) q^{11} +(11.9564 + 1.02214i) q^{12} +(5.13923 - 14.1199i) q^{13} +(1.35684 - 3.17888i) q^{14} +(1.08365 - 1.98279i) q^{15} +(6.11181 - 14.7867i) q^{16} +(7.61724 - 4.39782i) q^{17} +(-15.6555 + 8.88279i) q^{18} +(-7.40697 - 4.27641i) q^{19} +(-2.08420 - 2.17555i) q^{20} +(1.01963 + 5.08325i) q^{21} +(27.5028 - 3.32128i) q^{22} +(-16.0246 - 19.0974i) q^{23} +(4.98968 + 23.4756i) q^{24} +(22.9592 - 8.35647i) q^{25} +(30.0078 + 1.63263i) q^{26} +(11.8248 - 24.2729i) q^{27} +(6.87187 + 0.749975i) q^{28} +(-31.3791 + 11.4211i) q^{29} +(4.42413 + 0.921997i) q^{30} +(33.4088 - 28.0333i) q^{31} +(31.8488 + 3.10658i) q^{32} +(-31.1978 + 27.4486i) q^{33} +(12.8415 + 12.0228i) q^{34} +(0.650826 - 1.12726i) q^{35} +(-26.0944 - 24.8009i) q^{36} +(-26.0569 + 15.0439i) q^{37} +(3.88115 - 16.6595i) q^{38} +(-38.5003 + 23.4474i) q^{39} +(2.95272 - 5.25253i) q^{40} +(-16.2953 + 44.7711i) q^{41} +(-9.13585 + 4.90434i) q^{42} +(-24.9328 - 4.39632i) q^{43} +(22.3333 + 50.7046i) q^{44} +(-6.25440 + 2.61426i) q^{45} +(27.2388 - 41.7616i) q^{46} +(-31.4658 + 37.4995i) q^{47} +(-42.0282 + 23.1868i) q^{48} +(-7.99015 - 45.3144i) q^{49} +(29.3301 + 39.0842i) q^{50} +(-26.0862 - 3.97210i) q^{51} +(14.3079 + 58.3765i) q^{52} +16.3176 q^{53} +(53.3222 + 8.52910i) q^{54} +10.4328 q^{55} +(2.55679 + 13.5869i) q^{56} +(9.33807 + 23.8989i) q^{57} +(-40.0863 - 53.4176i) q^{58} +(-6.61306 - 37.5045i) q^{59} +(0.805618 + 9.00240i) q^{60} +(-39.1809 + 46.6940i) q^{61} +(73.0574 + 47.6514i) q^{62} +(7.13739 - 13.8192i) q^{63} +(12.5566 + 62.7561i) q^{64} +(11.1457 + 1.96528i) q^{65} +(-70.6541 - 43.7597i) q^{66} +(40.7802 - 112.043i) q^{67} +(-15.5490 + 31.5601i) q^{68} +(1.75180 + 74.7690i) q^{69} +(2.53541 + 0.590672i) q^{70} +(-36.2346 + 20.9200i) q^{71} +(32.3042 - 64.3463i) q^{72} +(52.5469 - 91.0139i) q^{73} +(-43.9279 - 41.1274i) q^{74} +(-69.4460 - 23.4492i) q^{75} +(34.1372 - 2.25038i) q^{76} +(-18.3371 + 15.3867i) q^{77} +(-67.2389 - 60.0595i) q^{78} +(31.0680 - 11.3078i) q^{79} +(11.7675 + 2.59949i) q^{80} +(-73.1891 + 34.7037i) q^{81} +(-95.1481 - 5.17672i) q^{82} +(-70.8716 + 25.7952i) q^{83} +(-14.6931 - 14.6349i) q^{84} +(4.25837 + 5.07493i) q^{85} +(-6.07063 - 50.2695i) q^{86} +(94.9140 + 32.0488i) q^{87} +(-84.0630 + 72.1967i) q^{88} +(-4.93938 - 2.85175i) q^{89} +(-8.63646 - 10.4508i) q^{90} +(-22.4886 + 12.9838i) q^{91} +(95.7460 + 27.8683i) q^{92} +(-130.800 + 3.06459i) q^{93} +(-90.0450 - 38.4338i) q^{94} +(2.20328 - 6.05347i) q^{95} +(-68.7896 - 66.9626i) q^{96} +(14.9453 - 84.7590i) q^{97} +(82.0797 - 41.6158i) q^{98} +(124.525 - 5.83833i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 420 q - 6 q^{2} - 6 q^{4} - 6 q^{6} - 12 q^{7} - 9 q^{8} - 12 q^{9}+O(q^{10}) $ 420 * q - 6 * q^2 - 6 * q^4 - 6 * q^6 - 12 * q^7 - 9 * q^8 - 12 * q^9	$ 420 q - 6 q^{2} - 6 q^{4} - 6 q^{6} - 12 q^{7} - 9 q^{8} - 12 q^{9} - 3 q^{10} - 51 q^{12} + 39 q^{14} - 12 q^{15} - 6 q^{16} - 18 q^{17} - 27 q^{18} + 57 q^{20} - 6 q^{22} - 12 q^{23} + 126 q^{24} - 12 q^{25} - 12 q^{28} + 87 q^{30} - 12 q^{31} + 84 q^{32} - 36 q^{33} - 18 q^{34} - 36 q^{36} - 108 q^{38} - 12 q^{39} + 69 q^{40} - 84 q^{41} + 114 q^{42} - 657 q^{44} - 3 q^{46} - 12 q^{47} - 453 q^{48} - 12 q^{49} + 153 q^{50} + 21 q^{52} - 90 q^{54} - 24 q^{55} + 99 q^{56} - 66 q^{57} + 129 q^{58} + 210 q^{60} - 900 q^{62} + 468 q^{63} - 3 q^{64} - 12 q^{65} - 855 q^{66} + 279 q^{68} + 153 q^{70} - 18 q^{71} - 156 q^{72} - 6 q^{73} + 423 q^{74} - 54 q^{76} + 642 q^{78} - 12 q^{79} - 12 q^{81} - 12 q^{82} + 192 q^{84} + 606 q^{86} - 588 q^{87} + 186 q^{88} - 18 q^{89} - 534 q^{90} - 735 q^{92} + 345 q^{94} - 162 q^{95} - 486 q^{96} - 12 q^{97} - 1548 q^{98}+O(q^{100}) $ 420 * q - 6 * q^2 - 6 * q^4 - 6 * q^6 - 12 * q^7 - 9 * q^8 - 12 * q^9 - 3 * q^10 - 51 * q^12 + 39 * q^14 - 12 * q^15 - 6 * q^16 - 18 * q^17 - 27 * q^18 + 57 * q^20 - 6 * q^22 - 12 * q^23 + 126 * q^24 - 12 * q^25 - 12 * q^28 + 87 * q^30 - 12 * q^31 + 84 * q^32 - 36 * q^33 - 18 * q^34 - 36 * q^36 - 108 * q^38 - 12 * q^39 + 69 * q^40 - 84 * q^41 + 114 * q^42 - 657 * q^44 - 3 * q^46 - 12 * q^47 - 453 * q^48 - 12 * q^49 + 153 * q^50 + 21 * q^52 - 90 * q^54 - 24 * q^55 + 99 * q^56 - 66 * q^57 + 129 * q^58 + 210 * q^60 - 900 * q^62 + 468 * q^63 - 3 * q^64 - 12 * q^65 - 855 * q^66 + 279 * q^68 + 153 * q^70 - 18 * q^71 - 156 * q^72 - 6 * q^73 + 423 * q^74 - 54 * q^76 + 642 * q^78 - 12 * q^79 - 12 * q^81 - 12 * q^82 + 192 * q^84 + 606 * q^86 - 588 * q^87 + 186 * q^88 - 18 * q^89 - 534 * q^90 - 735 * q^92 + 345 * q^94 - 162 * q^95 - 486 * q^96 - 12 * q^97 - 1548 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/216\mathbb{Z}\right)^\times$.

$n$	$55$	$109$	$137$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{18}\right)$

Coefficient data

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

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

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

$2$	0.580930	+	1.91377i	0.290465	+	0.956886i
$2$	0.580930	+	1.91377i	0.290465	+	0.956886i
$3$	−2.34267	−	1.87400i	−0.780890	−	0.624668i
$3$	−2.34267	−	1.87400i	−0.780890	−	0.624668i
$4$	−3.32504	+	2.22353i	−0.831260	+	0.555883i
$5$	0.130791	+	0.741755i	0.0261583	+	0.148351i	0.995089	−	0.0989794i	$-0.0315578\pi$
$5$	0.130791	+	0.741755i	0.0261583	+	0.148351i	−0.968931	+	0.247330i	$0.920447\pi$
$6$	2.22549	−	5.57200i	0.370915	−	0.928667i
$7$	−1.32385	−	1.11085i	−0.189122	−	0.158692i	0.543311	−	0.839532i	$-0.317171\pi$
$7$	−1.32385	−	1.11085i	−0.189122	−	0.158692i	−0.732433	+	0.680840i	$0.761615\pi$
$8$	−6.18695	−	5.07165i	−0.773368	−	0.633957i
$9$	1.97622	+	8.78035i	0.219580	+	0.975595i
$10$	−1.34357	+	0.681212i	−0.134357	+	0.0681212i
$11$	2.40525	−	13.6409i	0.218659	−	1.24008i	−0.655783	−	0.754950i	$-0.727661\pi$
$11$	2.40525	−	13.6409i	0.218659	−	1.24008i	0.874442	−	0.485130i	$-0.161228\pi$
$12$	11.9564	+	1.02214i	0.996366	+	0.0851781i
$13$	5.13923	−	14.1199i	0.395325	−	1.08615i	−0.569210	−	0.822192i	$-0.692751\pi$
$13$	5.13923	−	14.1199i	0.395325	−	1.08615i	0.964535	−	0.263955i	$-0.0850270\pi$
$14$	1.35684	−	3.17888i	0.0969170	−	0.227063i
$15$	1.08365	−	1.98279i	0.0722434	−	0.132186i
$16$	6.11181	−	14.7867i	0.381988	−	0.924167i
$17$	7.61724	−	4.39782i	0.448073	−	0.258695i	−0.258943	−	0.965893i	$-0.583374\pi$
$17$	7.61724	−	4.39782i	0.448073	−	0.258695i	0.707016	+	0.707198i	$0.250041\pi$
$18$	−15.6555	+	8.88279i	−0.869752	+	0.493488i
$19$	−7.40697	−	4.27641i	−0.389840	−	0.225074i	0.292251	−	0.956342i	$-0.405596\pi$
$19$	−7.40697	−	4.27641i	−0.389840	−	0.225074i	−0.682091	+	0.731267i	$0.738929\pi$
$20$	−2.08420	−	2.17555i	−0.104210	−	0.108777i
$21$	1.01963	+	5.08325i	0.0485536	+	0.242060i
$22$	27.5028	−	3.32128i	1.25013	−	0.150967i
$23$	−16.0246	−	19.0974i	−0.696721	−	0.830320i	0.295430	−	0.955364i	$-0.404537\pi$
$23$	−16.0246	−	19.0974i	−0.696721	−	0.830320i	−0.992151	+	0.125045i	$0.960093\pi$
$24$	4.98968	+	23.4756i	0.207903	+	0.978149i
$25$	22.9592	−	8.35647i	0.918369	−	0.334259i
$26$	30.0078	+	1.63263i	1.15415	+	0.0627936i
$27$	11.8248	−	24.2729i	0.437955	−	0.898997i
$28$	6.87187	+	0.749975i	0.245424	+	0.0267848i
$29$	−31.3791	+	11.4211i	−1.08204	+	0.393829i	−0.820666	−	0.571409i	$-0.806397\pi$
$29$	−31.3791	+	11.4211i	−1.08204	+	0.393829i	−0.261372	+	0.965238i	$0.584175\pi$
$30$	4.42413	+	0.921997i	0.147471	+	0.0307332i
$31$	33.4088	−	28.0333i	1.07770	−	0.904300i	0.0819743	−	0.996634i	$-0.473877\pi$
$31$	33.4088	−	28.0333i	1.07770	−	0.904300i	0.995728	+	0.0923348i	$0.0294330\pi$
$32$	31.8488	+	3.10658i	0.995277	+	0.0970807i
$33$	−31.1978	+	27.4486i	−0.945387	+	0.831776i
$34$	12.8415	+	12.0228i	0.377691	+	0.353613i
$35$	0.650826	−	1.12726i	0.0185950	−	0.0322075i
$36$	−26.0944	−	24.8009i	−0.724844	−	0.688913i
$37$	−26.0569	+	15.0439i	−0.704240	+	0.406593i	−0.808925	−	0.587912i	$-0.799950\pi$
$37$	−26.0569	+	15.0439i	−0.704240	+	0.406593i	0.104685	+	0.994505i	$0.466617\pi$
$38$	3.88115	−	16.6595i	0.102136	−	0.438409i
$39$	−38.5003	+	23.4474i	−0.987187	+	0.601215i
$40$	2.95272	−	5.25253i	0.0738181	−	0.131313i
$41$	−16.2953	+	44.7711i	−0.397448	+	1.09198i	0.566076	+	0.824353i	$0.308461\pi$
$41$	−16.2953	+	44.7711i	−0.397448	+	1.09198i	−0.963523	+	0.267625i	$0.913761\pi$
$42$	−9.13585	+	4.90434i	−0.217520	+	0.116770i
$43$	−24.9328	−	4.39632i	−0.579832	−	0.102240i	−0.123963	−	0.992287i	$-0.539560\pi$
$43$	−24.9328	−	4.39632i	−0.579832	−	0.102240i	−0.455869	+	0.890047i	$0.650671\pi$
$44$	22.3333	+	50.7046i	0.507576	+	1.15238i
$45$	−6.25440	+	2.61426i	−0.138987	+	0.0580947i
$46$	27.2388	−	41.7616i	0.592148	−	0.907861i
$47$	−31.4658	+	37.4995i	−0.669486	+	0.797862i	−0.988714	−	0.149816i	$-0.952132\pi$
$47$	−31.4658	+	37.4995i	−0.669486	+	0.797862i	0.319228	+	0.947678i	$0.396576\pi$
$48$	−42.0282	+	23.1868i	−0.875589	+	0.483058i
$49$	−7.99015	−	45.3144i	−0.163064	−	0.924783i
$50$	29.3301	+	39.0842i	0.586601	+	0.781684i
$51$	−26.0862	−	3.97210i	−0.511494	−	0.0778844i
$52$	14.3079	+	58.3765i	0.275153	+	1.12263i
$53$	16.3176			0.307879			0.153940	−	0.988080i	$-0.450804\pi$
$53$	16.3176			0.307879			0.153940	+	0.988080i	$0.450804\pi$
$54$	53.3222	+	8.52910i	0.987448	+	0.157946i
$55$	10.4328			0.189687
$56$	2.55679	+	13.5869i	0.0456570	+	0.242623i
$57$	9.33807	+	23.8989i	0.163826	+	0.419279i
$58$	−40.0863	−	53.4176i	−0.691144	−	0.920993i
$59$	−6.61306	−	37.5045i	−0.112086	−	0.635670i	−0.988152	−	0.153479i	$-0.950952\pi$
$59$	−6.61306	−	37.5045i	−0.112086	−	0.635670i	0.876066	−	0.482191i	$-0.160159\pi$
$60$	0.805618	+	9.00240i	0.0134270	+	0.150040i
$61$	−39.1809	+	46.6940i	−0.642310	+	0.765475i	−0.984733	−	0.174071i	$-0.944308\pi$
$61$	−39.1809	+	46.6940i	−0.642310	+	0.765475i	0.342423	+	0.939546i	$0.388752\pi$
$62$	73.0574	+	47.6514i	1.17835	+	0.768571i
$63$	7.13739	−	13.8192i	0.113292	−	0.219352i
$64$	12.5566	+	62.7561i	0.196198	+	0.980564i
$65$	11.1457	+	1.96528i	0.171472	+	0.0302351i
$66$	−70.6541	−	43.7597i	−1.07052	−	0.663025i
$67$	40.7802	−	112.043i	0.608659	−	1.67228i	−0.124500	−	0.992220i	$-0.539733\pi$
$67$	40.7802	−	112.043i	0.608659	−	1.67228i	0.733159	−	0.680057i	$-0.238045\pi$
$68$	−15.5490	+	31.5601i	−0.228661	+	0.464119i
$69$	1.75180	+	74.7690i	0.0253885	+	1.08361i
$70$	2.53541	+	0.590672i	0.0362201	+	0.00843817i
$71$	−36.2346	+	20.9200i	−0.510346	+	0.294649i	−0.732976	−	0.680255i	$-0.761869\pi$
$71$	−36.2346	+	20.9200i	−0.510346	+	0.294649i	0.222630	+	0.974903i	$0.428536\pi$
$72$	32.3042	−	64.3463i	0.448669	−	0.893698i
$73$	52.5469	−	91.0139i	0.719821	−	1.24677i	−0.241250	−	0.970463i	$-0.577557\pi$
$73$	52.5469	−	91.0139i	0.719821	−	1.24677i	0.961071	−	0.276303i	$-0.0891093\pi$
$74$	−43.9279	−	41.1274i	−0.593620	−	0.555776i
$75$	−69.4460	−	23.4492i	−0.925946	−	0.312656i
$76$	34.1372	−	2.25038i	0.449174	−	0.0296102i
$77$	−18.3371	+	15.3867i	−0.238144	+	0.199827i
$78$	−67.2389	−	60.0595i	−0.862037	−	0.769994i
$79$	31.0680	−	11.3078i	0.393265	−	0.143137i	−0.137816	−	0.990458i	$-0.544008\pi$
$79$	31.0680	−	11.3078i	0.393265	−	0.143137i	0.531081	+	0.847321i	$0.321786\pi$
$80$	11.7675	+	2.59949i	0.147093	+	0.0324936i
$81$	−73.1891	+	34.7037i	−0.903570	+	0.428441i
$82$	−95.1481	−	5.17672i	−1.16034	−	0.0631307i
$83$	−70.8716	+	25.7952i	−0.853875	+	0.310785i	−0.731619	−	0.681714i	$-0.761235\pi$
$83$	−70.8716	+	25.7952i	−0.853875	+	0.310785i	−0.122256	+	0.992499i	$0.539013\pi$
$84$	−14.6931	−	14.6349i	−0.174918	−	0.174225i
$85$	4.25837	+	5.07493i	0.0500985	+	0.0597050i
$86$	−6.07063	−	50.2695i	−0.0705887	−	0.584530i
$87$	94.9140	+	32.0488i	1.09097	+	0.368377i
$88$	−84.0630	+	72.1967i	−0.955261	+	0.820417i
$89$	−4.93938	−	2.85175i	−0.0554987	−	0.0320422i	0.471994	−	0.881602i	$-0.343534\pi$
$89$	−4.93938	−	2.85175i	−0.0554987	−	0.0320422i	−0.527493	+	0.849560i	$0.676868\pi$
$90$	−8.63646	−	10.4508i	−0.0959607	−	0.116120i
$91$	−22.4886	+	12.9838i	−0.247128	+	0.142679i
$92$	95.7460	+	27.8683i	1.04072	+	0.302917i
$93$	−130.800	+	3.06459i	−1.40645	+	0.0329526i
$94$	−90.0450	−	38.4338i	−0.957925	−	0.408871i
$95$	2.20328	−	6.05347i	0.0231925	−	0.0637208i
$96$	−68.7896	−	66.9626i	−0.716559	−	0.697527i
$97$	14.9453	−	84.7590i	0.154075	−	0.873805i	−0.805551	−	0.592526i	$-0.798131\pi$
$97$	14.9453	−	84.7590i	0.154075	−	0.873805i	0.959626	−	0.281278i	$-0.0907583\pi$
$98$	82.0797	−	41.6158i	0.837548	−	0.424651i
$99$	124.525	−	5.83833i	1.25783	−	0.0589731i
$100$	−57.7595	+	78.8362i	−0.577595	+	0.788362i
$101$	74.0967	+	62.1745i	0.733631	+	0.615589i	0.931119	−	0.364716i	$-0.118834\pi$
$101$	74.0967	+	62.1745i	0.733631	+	0.615589i	−0.197488	+	0.980305i	$0.563278\pi$
$102$	−7.55255	−	52.2306i	−0.0740446	−	0.512064i
$103$	11.0147	+	62.4675i	0.106939	+	0.606480i	0.990428	+	0.138029i	$0.0440767\pi$
$103$	11.0147	+	62.4675i	0.106939	+	0.606480i	−0.883489	+	0.468451i	$0.844812\pi$
$104$	−103.407	+	61.2948i	−0.994302	+	0.589373i
$105$	−3.63717	+	1.42116i	−0.0346397	+	0.0135348i
$106$	9.47937	+	31.2281i	0.0894280	+	0.294605i
$107$	102.475			0.957711			0.478855	−	0.877894i	$-0.341052\pi$
$107$	102.475			0.957711			0.478855	+	0.877894i	$0.341052\pi$
$108$	14.6537	+	107.001i	0.135682	+	0.990752i
$109$			72.4390i			0.664578i	0.943178	+	0.332289i	$0.107821\pi$
$109$			72.4390i			0.664578i	−0.943178	+	0.332289i	$0.892179\pi$
$110$	6.06070	+	19.9659i	0.0550973	+	0.181508i
$111$	89.2351	+	13.5877i	0.803920	+	0.122412i
$112$	−24.5169	+	12.7861i	−0.218900	+	0.114162i
$113$	55.3262	−	9.75551i	0.489613	−	0.0863319i	0.0766089	−	0.997061i	$-0.475591\pi$
$113$	55.3262	−	9.75551i	0.489613	−	0.0863319i	0.413004	+	0.910729i	$0.364480\pi$
$114$	−40.3123	+	31.7545i	−0.353617	+	0.278548i
$115$	12.0697	−	14.3841i	0.104954	−	0.125079i
$116$	78.9417	−	107.748i	0.680532	−	0.928861i
$117$	134.134	+	17.2202i	1.14644	+	0.147181i
$118$	67.9334	−	34.4434i	0.575706	−	0.291893i
$119$	−14.9694	−	2.63951i	−0.125793	−	0.0221808i
$120$	−16.7605	+	6.77153i	−0.139671	+	0.0564294i
$121$	−66.5853	−	24.2351i	−0.550292	−	0.200290i
$122$	−112.123	−	47.8574i	−0.919041	−	0.392274i
$123$	122.076	−	74.3464i	0.992487	−	0.604442i
$124$	−48.7526	+	167.497i	−0.393166	+	1.35079i
$125$	18.6163	+	32.2444i	0.148930	+	0.257955i
$126$	30.5931	+	5.63137i	0.242802	+	0.0446934i
$127$	17.8787	−	30.9667i	0.140777	−	0.243833i	−0.787013	−	0.616937i	$-0.788373\pi$
$127$	17.8787	−	30.9667i	0.140777	−	0.243833i	0.927789	+	0.373104i	$0.121707\pi$
$128$	−112.806	+	60.4874i	−0.881300	+	0.472558i
$129$	50.1705	+	57.0232i	0.388919	+	0.442040i
$130$	2.71375	+	22.4720i	0.0208750	+	0.172861i
$131$	73.9910	−	62.0858i	0.564817	−	0.473937i	−0.315105	−	0.949057i	$-0.602040\pi$
$131$	73.9910	−	62.0858i	0.564817	−	0.473937i	0.879921	+	0.475120i	$0.157595\pi$
$132$	42.7010	−	160.637i	0.323492	−	1.21695i
$133$	5.05531	+	13.8893i	0.0380098	+	0.104431i
$134$	238.114	+	12.9551i	1.77697	+	0.0966796i
$135$	19.5511	+	5.59641i	0.144823	+	0.0414549i
$136$	−69.4317	−	11.4230i	−0.510527	−	0.0839923i
$137$	−1.69306	−	4.65165i	−0.0123581	−	0.0339536i	0.933360	−	0.358941i	$-0.116862\pi$
$137$	−1.69306	−	4.65165i	−0.0123581	−	0.0339536i	−0.945718	+	0.324988i	$0.894640\pi$
$138$	−142.073	+	46.7880i	−1.02951	+	0.339044i
$139$	88.7633	+	105.784i	0.638585	+	0.761036i	0.984146	−	0.177360i	$-0.0567558\pi$
$139$	88.7633	+	105.784i	0.638585	+	0.761036i	−0.345561	+	0.938396i	$0.612311\pi$
$140$	0.342484	+	5.19533i	0.00244631	+	0.0371095i
$141$	143.988	−	28.8819i	1.02119	−	0.204837i
$142$	−61.0859	−	57.1916i	−0.430183	−	0.402758i
$143$	−180.247	−	104.066i	−1.26047	−	0.727731i
$144$	141.910	+	24.4421i	0.985489	+	0.169737i
$145$	−12.5757	−	21.7818i	−0.0867292	−	0.150219i
$146$	204.706	+	47.6901i	1.40210	+	0.326645i
$147$	−66.2011	+	121.130i	−0.450347	+	0.824015i
$148$	53.1895	−	107.960i	0.359389	−	0.729460i
$149$	−70.2537	−	25.5703i	−0.471502	−	0.171613i	0.0953308	−	0.995446i	$-0.469609\pi$
$149$	−70.2537	−	25.5703i	−0.471502	−	0.171613i	−0.566832	+	0.823833i	$0.691831\pi$
$150$	4.53321	−	146.526i	0.0302214	−	0.976840i
$151$	−10.1394	+	57.5032i	−0.0671482	+	0.380816i	0.932651	+	0.360780i	$0.117489\pi$
$151$	−10.1394	+	57.5032i	−0.0671482	+	0.380816i	−0.999799	+	0.0200365i	$0.993622\pi$
$152$	24.1380	+	64.0235i	0.158803	+	0.421207i
$153$	53.6677	+	58.1910i	0.350769	+	0.380333i
$154$	−40.0991	−	26.1545i	−0.260384	−	0.169834i
$155$	25.1634	+	21.1146i	0.162345	+	0.136223i
$156$	75.8791	−	163.570i	0.486404	−	1.04853i
$157$	304.936	−	53.7684i	1.94227	−	0.342474i	0.942297	−	0.334778i	$-0.108661\pi$
$157$	304.936	−	53.7684i	1.94227	−	0.342474i	0.999970	−	0.00769641i	$-0.00244987\pi$
$158$	39.6889	+	52.8880i	0.251195	+	0.334734i
$159$	−38.2267	−	30.5792i	−0.240420	−	0.192322i
$160$	1.86123	+	24.0304i	0.0116327	+	0.150190i
$161$			43.0829i			0.267596i
$162$	−108.933	−	119.907i	−0.672424	−	0.740166i
$163$			105.091i			0.644727i	0.946616	+	0.322364i	$0.104477\pi$
$163$			105.091i			0.644727i	−0.946616	+	0.322364i	$0.895523\pi$
$164$	−45.3673	−	185.099i	−0.276630	−	1.12865i
$165$	−24.4405	−	19.5511i	−0.148125	−	0.118491i
$166$	−90.5374	−	120.647i	−0.545406	−	0.726788i
$167$	−255.094	+	44.9800i	−1.52751	+	0.269341i	−0.873380	−	0.487040i	$-0.838077\pi$
$167$	−255.094	+	44.9800i	−1.52751	+	0.269341i	−0.654131	+	0.756381i	$0.726966\pi$
$168$	19.4721	−	36.6210i	0.115906	−	0.217982i
$169$	−43.4988	−	36.4998i	−0.257389	−	0.215975i
$170$	−7.23844	+	11.0977i	−0.0425791	+	0.0652807i
$171$	22.9107	−	73.4869i	0.133980	−	0.429748i
$172$	92.6778	−	40.8209i	0.538824	−	0.237331i
$173$	−39.5143	+	224.097i	−0.228406	+	1.29536i	0.627659	+	0.778489i	$0.284013\pi$
$173$	−39.5143	+	224.097i	−0.228406	+	1.29536i	−0.856065	+	0.516868i	$0.827098\pi$
$174$	−6.19569	+	200.262i	−0.0356074	+	1.15093i
$175$	−39.6774	−	14.4414i	−0.226728	−	0.0825223i
$176$	−187.003	−	118.936i	−1.06252	−	0.675773i
$177$	−54.7914	+	100.254i	−0.309556	+	0.566405i
$178$	2.58817	−	11.1095i	0.0145403	−	0.0624130i
$179$	−51.6274	−	89.4213i	−0.288421	−	0.499560i	0.685012	−	0.728532i	$-0.259797\pi$
$179$	−51.6274	−	89.4213i	−0.288421	−	0.499560i	−0.973433	+	0.228972i	$0.926464\pi$
$180$	14.9832	−	22.5994i	0.0832402	−	0.125552i
$181$	−201.960	−	116.602i	−1.11580	−	0.644210i	−0.175477	−	0.984483i	$-0.556147\pi$
$181$	−201.960	−	116.602i	−1.11580	−	0.644210i	−0.940326	+	0.340274i	$0.889480\pi$
$182$	−37.9124	−	35.4954i	−0.208310	−	0.195030i
$183$	179.293	−	35.9635i	0.979741	−	0.196522i
$184$	2.28808	+	199.425i	0.0124352	+	1.08383i
$185$	−14.5669	−	17.3602i	−0.0787402	−	0.0938389i
$186$	−81.8507	−	248.541i	−0.440057	−	1.33624i
$187$	−41.6686	−	114.484i	−0.222827	−	0.612212i
$188$	21.2438	−	194.653i	0.112999	−	1.03539i
$189$	−42.6177	+	18.9983i	−0.225491	+	0.100520i
$190$	12.8649	+	0.699941i	0.0677101	+	0.00368390i
$191$	−117.477	−	322.764i	−0.615060	−	1.68986i	−0.718762	−	0.695256i	$-0.755291\pi$
$191$	−117.477	−	322.764i	−0.615060	−	1.68986i	0.103702	−	0.994608i	$-0.466931\pi$
$192$	88.1891	−	170.548i	0.459318	−	0.888272i
$193$	261.249	−	219.214i	1.35362	−	1.13582i	0.375725	−	0.926731i	$-0.377394\pi$
$193$	261.249	−	219.214i	1.35362	−	1.13582i	0.977896	−	0.209092i	$-0.0670508\pi$
$194$	170.892	−	20.6371i	0.880885	−	0.106377i
$195$	−22.4277	−	25.4911i	−0.115014	−	0.130723i
$196$	127.326	+	132.906i	0.649620	+	0.678091i
$197$	174.159	−	301.652i	0.884054	−	1.53123i	0.0372593	−	0.999306i	$-0.488137\pi$
$197$	174.159	−	301.652i	0.884054	−	1.53123i	0.846794	−	0.531920i	$-0.178529\pi$
$198$	83.5134	+	234.921i	0.421785	+	1.18647i
$199$	138.834	+	240.467i	0.697657	+	1.20838i	0.969277	+	0.245972i	$0.0791072\pi$
$199$	138.834	+	240.467i	0.697657	+	1.20838i	−0.271620	+	0.962404i	$0.587560\pi$
$200$	−184.429	−	64.7402i	−0.922143	−	0.323701i
$201$	−305.503	+	186.057i	−1.51991	+	0.925655i
$202$	−75.9428	+	177.923i	−0.375955	+	0.880808i
$203$	54.2284	+	19.7375i	0.267135	+	0.0972291i
$204$	95.5698	−	44.7961i	0.468480	−	0.219589i
$205$	−35.3405	−	6.23148i	−0.172393	−	0.0303975i
$206$	−113.150	+	57.3688i	−0.549270	+	0.278489i
$207$	136.013	−	178.442i	0.657070	−	0.862038i
$208$	−177.377	−	162.290i	−0.852772	−	0.780242i
$209$	−76.1496	+	90.7516i	−0.364352	+	0.434218i
$210$	−4.83271	−	6.13512i	−0.0230129	−	0.0292149i
$211$	36.9088	−	6.50803i	0.174923	−	0.0308437i	−0.0855003	−	0.996338i	$-0.527249\pi$
$211$	36.9088	−	6.50803i	0.174923	−	0.0308437i	0.260424	+	0.965494i	$0.416138\pi$
$212$	−54.2567	+	36.2827i	−0.255928	+	0.171145i
$213$	124.090	+	18.8950i	0.582582	+	0.0887088i
$214$	59.5308	+	196.114i	0.278181	+	0.916420i
$215$		−	19.0690i		−	0.0886930i
$216$	−196.263	+	90.2040i	−0.908626	+	0.417611i
$217$	−75.3690			−0.347322
$218$	−138.632	+	42.0820i	−0.635926	+	0.193037i
$219$	−293.661	+	114.743i	−1.34092	+	0.523939i
$220$	−34.6894	+	23.1976i	−0.157679	+	0.105444i
$221$	−22.9500	−	130.156i	−0.103846	−	0.588942i
$222$	25.8356	+	178.669i	0.116377	+	0.804816i
$223$	141.199	+	118.480i	0.633180	+	0.531301i	0.901915	−	0.431913i	$-0.142161\pi$
$223$	141.199	+	118.480i	0.633180	+	0.531301i	−0.268736	+	0.963214i	$0.586606\pi$
$224$	−38.7123	−	39.4918i	−0.172823	−	0.176303i
$225$	118.745	+	185.076i	0.527756	+	0.822559i
$226$	50.8104	+	100.214i	0.224825	+	0.443427i
$227$	−68.8707	+	390.585i	−0.303395	+	1.72064i	0.327568	+	0.944828i	$0.393771\pi$
$227$	−68.8707	+	390.585i	−0.303395	+	1.72064i	−0.630963	+	0.775813i	$0.717340\pi$
$228$	−84.1895	−	58.7014i	−0.369252	−	0.257462i
$229$	40.4439	−	111.119i	0.176611	−	0.485235i	−0.819527	−	0.573041i	$-0.805763\pi$
$229$	40.4439	−	111.119i	0.176611	−	0.485235i	0.996138	+	0.0878065i	$0.0279857\pi$
$230$	34.5395	+	14.7425i	0.150172	+	0.0640977i
$231$	71.7925	−	1.68207i	0.310790	−	0.00728167i
$232$	252.064	+	88.4824i	1.08648	+	0.381390i
$233$	123.686	−	71.4102i	0.530842	−	0.306482i	−0.210517	−	0.977590i	$-0.567515\pi$
$233$	123.686	−	71.4102i	0.530842	−	0.306482i	0.741359	+	0.671108i	$0.234181\pi$
$234$	44.9668	+	266.706i	0.192166	+	1.13977i
$235$	−31.9309	−	18.4353i	−0.135876	−	0.0784482i
$236$	105.381	+	110.000i	0.446531	+	0.466101i
$237$	−93.9729	−	31.7310i	−0.396510	−	0.133886i
$238$	−3.64475	−	30.1814i	−0.0153141	−	0.126813i
$239$	−130.943	−	156.052i	−0.547878	−	0.652936i	0.419056	−	0.907960i	$-0.362361\pi$
$239$	−130.943	−	156.052i	−0.547878	−	0.652936i	−0.966935	+	0.255024i	$0.917917\pi$
$240$	−22.6958	−	28.1420i	−0.0945660	−	0.117258i
$241$	−122.872	+	44.7216i	−0.509840	+	0.185567i	−0.584115	−	0.811671i	$-0.698558\pi$
$241$	−122.872	+	44.7216i	−0.509840	+	0.185567i	0.0742744	+	0.997238i	$0.476336\pi$
$242$	7.69901	−	141.508i	0.0318141	−	0.584743i
$243$	236.493	+	55.8573i	0.973222	+	0.229865i
$244$	26.4526	−	242.379i	0.108412	−	0.993358i
$245$	32.5671	−	11.8535i	0.132927	−	0.0483815i
$246$	213.200	+	190.435i	0.866665	+	0.774127i
$247$	−98.4487	+	82.6083i	−0.398578	+	0.334446i
$248$	−348.873	+	4.00275i	−1.40675	+	0.0161401i
$249$	214.369	+	72.3841i	0.860920	+	0.290699i
$250$	−50.8936	+	54.3590i	−0.203574	+	0.217436i
$251$	−203.735	+	352.879i	−0.811693	+	1.40589i	0.0999859	+	0.994989i	$0.468120\pi$
$251$	−203.735	+	352.879i	−0.811693	+	1.40589i	−0.911679	+	0.410904i	$0.865213\pi$
$252$	6.99526	+	61.8196i	0.0277590	+	0.245316i
$253$	−299.048	+	172.655i	−1.18201	+	0.682432i
$254$	69.6495	+	16.2262i	0.274211	+	0.0638826i
$255$	−0.465524	−	19.8691i	−0.00182558	−	0.0779180i
$256$	−181.292	−	180.747i	−0.708171	−	0.706041i
$257$	72.6339	−	199.560i	0.282622	−	0.776498i	−0.714425	−	0.699712i	$-0.753312\pi$
$257$	72.6339	−	199.560i	0.282622	−	0.776498i	0.997048	−	0.0767865i	$-0.0244660\pi$
$258$	−79.9839	+	129.141i	−0.310015	+	0.500548i
$259$	51.2070	+	9.02918i	0.197710	+	0.0348617i
$260$	−41.4297	+	18.2481i	−0.159345	+	0.0701851i
$261$	−162.293	−	252.949i	−0.621811	−	0.969153i
$262$	161.802	+	105.534i	0.617563	+	0.402803i
$263$	−124.400	+	148.255i	−0.473005	+	0.563706i	−0.948811	−	0.315845i	$-0.897712\pi$
$263$	−124.400	+	148.255i	−0.473005	+	0.563706i	0.475806	+	0.879550i	$0.342157\pi$
$264$	332.229	−	11.5989i	1.25844	−	0.0439351i
$265$	2.13420	+	12.1037i	0.00805359	+	0.0456742i
$266$	−23.6442	+	17.7434i	−0.0888881	+	0.0667046i
$267$	6.22715	+	15.9371i	0.0233227	+	0.0596897i
$268$	113.535	+	463.222i	0.423636	+	1.72844i
$269$	−478.260			−1.77792			−0.888959	−	0.457986i	$-0.848571\pi$
$269$	−478.260			−1.77792			−0.888959	+	0.457986i	$0.848571\pi$
$270$	0.647583	+	40.6675i	0.00239845	+	0.150620i
$271$	−122.852			−0.453328			−0.226664	−	0.973973i	$-0.572782\pi$
$271$	−122.852			−0.453328			−0.226664	+	0.973973i	$0.572782\pi$
$272$	−18.4740	−	139.512i	−0.0679191	−	0.512913i
$273$	77.0152	+	11.7270i	0.282107	+	0.0429560i
$274$	7.91864	−	5.94241i	0.0289001	−	0.0216876i
$275$	−58.7668	−	333.283i	−0.213698	−	1.21194i
$276$	−172.076	−	244.715i	−0.623464	−	0.886647i
$277$	14.8318	−	17.6758i	0.0535442	−	0.0638115i	−0.738608	−	0.674136i	$-0.764516\pi$
$277$	14.8318	−	17.6758i	0.0535442	−	0.0638115i	0.792152	+	0.610324i	$0.208961\pi$
$278$	−150.881	+	231.326i	−0.542738	+	0.832107i
$279$	312.165	+	237.941i	1.11887	+	0.852835i
$280$	−9.74372	+	3.67356i	−0.0347990	+	0.0131199i
$281$	504.325	+	88.9261i	1.79475	+	0.316463i	0.968905	−	0.247434i	$-0.0795873\pi$
$281$	504.325	+	88.9261i	1.79475	+	0.316463i	0.825845	+	0.563897i	$0.190698\pi$
$282$	138.921	+	258.783i	0.492626	+	0.917669i
$283$	−73.7836	+	202.719i	−0.260719	+	0.716320i	0.738400	+	0.674363i	$0.235582\pi$
$283$	−73.7836	+	202.719i	−0.260719	+	0.716320i	−0.999119	+	0.0419575i	$0.986641\pi$
$284$	73.9651	−	150.129i	0.260441	−	0.528623i
$285$	−16.5058	+	10.0523i	−0.0579151	+	0.0352713i
$286$	94.4469	−	405.406i	0.330234	−	1.41750i
$287$	71.3064	−	41.1688i	0.248454	−	0.143445i
$288$	35.6633	+	285.783i	0.123831	+	0.992303i
$289$	−105.818	+	183.283i	−0.366154	+	0.634197i
$290$	34.3798	−	36.7208i	0.118551	−	0.126623i
$291$	−193.851	+	170.555i	−0.666154	+	0.586100i
$292$	27.6517	+	419.465i	0.0946977	+	1.43652i
$293$	257.604	−	216.155i	0.879194	−	0.737731i	−0.0868194	−	0.996224i	$-0.527670\pi$
$293$	257.604	−	216.155i	0.879194	−	0.737731i	0.966013	+	0.258493i	$0.0832259\pi$
$294$	−270.274	−	56.3255i	−0.919299	−	0.191583i
$295$	26.9542	−	9.81054i	0.0913703	−	0.0332561i
$296$	237.510	+	39.0754i	0.802399	+	0.132011i
$297$	−302.662	−	219.683i	−1.01906	−	0.739673i
$298$	8.12318	−	149.304i	0.0272590	−	0.501021i
$299$	−352.007	+	128.120i	−1.17728	+	0.428495i
$300$	283.051	−	76.4458i	0.943503	−	0.254819i
$301$	28.1237	+	33.5165i	0.0934342	+	0.111351i
$302$	−115.938	+	14.0009i	−0.383902	+	0.0463606i
$303$	−57.0689	−	284.512i	−0.188346	−	0.938983i
$304$	−108.504	+	83.3878i	−0.356921	+	0.274302i
$305$	−39.7600	−	22.9555i	−0.130361	−	0.0752638i
$306$	−80.1871	+	136.513i	−0.262049	+	0.446119i
$307$	−323.302	+	186.658i	−1.05310	+	0.608008i	−0.923516	−	0.383560i	$-0.874698\pi$
$307$	−323.302	+	186.658i	−1.05310	+	0.608008i	−0.129585	+	0.991568i	$0.541364\pi$
$308$	26.7589	−	91.9344i	0.0868795	−	0.298488i
$309$	91.2605	−	166.982i	0.295341	−	0.540396i
$310$	−25.7904	+	60.4231i	−0.0831947	+	0.194913i
$311$	−39.7989	+	109.346i	−0.127971	+	0.351596i	−0.987087	−	0.160183i	$-0.948791\pi$
$311$	−39.7989	+	109.346i	−0.127971	+	0.351596i	0.859117	+	0.511780i	$0.171014\pi$
$312$	357.116	+	50.1925i	1.14460	+	0.160873i
$313$	40.8279	−	231.547i	0.130441	−	0.739765i	−0.847486	−	0.530817i	$-0.821885\pi$
$313$	40.8279	−	231.547i	0.130441	−	0.739765i	0.977927	−	0.208948i	$-0.0670039\pi$
$314$	280.047	+	552.342i	0.891869	+	1.75905i
$315$	11.1839	+	3.48677i	0.0355046	+	0.0110691i
$316$	−78.1590	+	106.680i	−0.247339	+	0.337594i
$317$	275.957	+	231.556i	0.870528	+	0.730460i	0.964209	−	0.265143i	$-0.0854190\pi$
$317$	275.957	+	231.556i	0.870528	+	0.730460i	−0.0936812	+	0.995602i	$0.529863\pi$
$318$	36.3146	−	90.9216i	0.114197	−	0.285917i
$319$	80.3185	+	455.509i	0.251782	+	1.42793i
$320$	−44.9074	+	17.5219i	−0.140335	+	0.0547560i
$321$	−240.065	−	192.039i	−0.747867	−	0.598251i
$322$	−82.4509	+	25.0282i	−0.256059	+	0.0777272i
$323$	−75.2275			−0.232903
$324$	166.192	−	278.130i	0.512938	−	0.858425i
$325$		−	367.128i		−	1.12962i
$326$	−201.119	+	61.0502i	−0.616930	+	0.187271i
$327$	135.751	−	169.701i	0.415141	−	0.518963i
$328$	327.882	−	194.352i	0.999640	−	0.592537i
$329$	83.3124	−	14.6902i	0.253229	−	0.0446511i
$330$	23.2180	−	58.1314i	0.0703576	−	0.176156i
$331$	186.958	−	222.808i	0.564828	−	0.673136i	−0.405733	−	0.913992i	$-0.632984\pi$
$331$	186.958	−	222.808i	0.564828	−	0.673136i	0.970561	+	0.240856i	$0.0774281\pi$
$332$	178.295	−	243.355i	0.537032	−	0.732998i
$333$	−183.585	−	199.058i	−0.551307	−	0.597773i
$334$	−234.273	−	462.062i	−0.701417	−	1.38342i
$335$	88.4418	+	15.5947i	0.264005	+	0.0465513i
$336$	81.3962	+	15.9910i	0.242251	+	0.0475922i
$337$	−422.495	−	153.776i	−1.25369	−	0.456307i	−0.372045	−	0.928215i	$-0.621343\pi$
$337$	−422.495	−	153.776i	−1.25369	−	0.456307i	−0.881648	+	0.471907i	$0.843566\pi$
$338$	44.5826	−	104.451i	0.131901	−	0.309025i
$339$	−147.893	−	80.8276i	−0.436263	−	0.238430i
$340$	−25.4435	−	7.40572i	−0.0748339	−	0.0217815i
$341$	−302.042	−	523.152i	−0.885753	−	1.53417i
$342$	153.947	+	1.15505i	0.450136	+	0.00337734i
$343$	−82.0996	+	142.201i	−0.239357	+	0.414579i
$344$	131.961	+	153.650i	0.383608	+	0.446657i
$345$	−55.2311	+	11.0785i	−0.160090	+	0.0321117i
$346$	−451.825	+	54.5631i	−1.30585	+	0.157697i
$347$	497.384	−	417.355i	1.43338	−	1.20275i	0.489706	−	0.871888i	$-0.337104\pi$
$347$	497.384	−	417.355i	1.43338	−	1.20275i	0.943678	−	0.330864i	$-0.107340\pi$
$348$	−386.854	+	104.481i	−1.11165	+	0.300232i
$349$	13.0830	+	35.9453i	0.0374872	+	0.102995i	0.957024	−	0.290009i	$-0.0936581\pi$
$349$	13.0830	+	35.9453i	0.0374872	+	0.102995i	−0.919537	+	0.393004i	$0.871436\pi$
$350$	4.58775	−	84.3229i	0.0131079	−	0.240923i
$351$	−281.961	−	291.709i	−0.803308	−	0.831080i
$352$	118.981	−	426.974i	0.338014	−	1.21299i
$353$	−14.8643	−	40.8393i	−0.0421084	−	0.115692i	0.916856	−	0.399217i	$-0.130718\pi$
$353$	−14.8643	−	40.8393i	−0.0421084	−	0.115692i	−0.958965	+	0.283526i	$0.908496\pi$
$354$	−223.693	−	46.6179i	−0.631900	−	0.131689i
$355$	−20.2567	−	24.1410i	−0.0570612	−	0.0680029i
$356$	22.7646	−	1.50068i	0.0639455	−	0.00421538i
$357$	30.1219	+	34.2362i	0.0843752	+	0.0958998i
$358$	141.140	−	150.751i	0.394246	−	0.421091i
$359$	25.2692	+	14.5892i	0.0703878	+	0.0406384i	0.534781	−	0.844991i	$-0.320394\pi$
$359$	25.2692	+	14.5892i	0.0703878	+	0.0406384i	−0.464393	+	0.885629i	$0.653727\pi$
$360$	51.9543	+	15.5458i	0.144317	+	0.0431829i
$361$	−143.925	−	249.285i	−0.398683	−	0.690539i
$362$	105.825	−	454.244i	0.292333	−	1.25482i
$363$	110.571	+	181.556i	0.304603	+	0.500154i
$364$	45.9057	−	93.1759i	0.126115	−	0.255978i
$365$	74.3827	+	27.0731i	0.203788	+	0.0741729i
$366$	172.982	+	322.233i	0.472629	+	0.880418i
$367$	−88.8484	+	503.884i	−0.242094	+	1.37298i	0.585053	+	0.810995i	$0.301074\pi$
$367$	−88.8484	+	503.884i	−0.242094	+	1.37298i	−0.827146	+	0.561986i	$0.810037\pi$
$368$	−380.326	+	120.231i	−1.03349	+	0.326715i
$369$	−425.309	−	54.6015i	−1.15260	−	0.147972i
$370$	24.7611	−	37.9628i	0.0669219	−	0.102602i
$371$	−21.6021	−	18.1263i	−0.0582267	−	0.0488580i
$372$	428.102	−	301.029i	1.15081	−	0.809217i
$373$	712.450	−	125.624i	1.91005	−	0.336794i	0.912645	−	0.408752i	$-0.134036\pi$
$373$	712.450	−	125.624i	1.91005	−	0.336794i	0.997408	+	0.0719582i	$0.0229248\pi$
$374$	194.889	−	146.251i	0.521093	−	0.391046i
$375$	16.8142	−	110.425i	0.0448379	−	0.294467i
$376$	384.862	−	72.4238i	1.02357	−	0.192616i
$377$			501.765i			1.33094i
$378$	−61.1163	−	70.5240i	−0.161683	−	0.186571i
$379$			518.158i			1.36717i	0.729870	+	0.683586i	$0.239580\pi$
$379$			518.158i			1.36717i	−0.729870	+	0.683586i	$0.760420\pi$
$380$	6.13408	+	25.0271i	0.0161423	+	0.0658608i
$381$	−99.9156	+	39.0402i	−0.262246	+	0.102468i
$382$	549.451	−	412.326i	1.43835	−	1.07939i
$383$	486.856	−	85.8459i	1.27116	−	0.224141i	0.502940	−	0.864321i	$-0.332252\pi$
$383$	486.856	−	85.8459i	1.27116	−	0.224141i	0.768224	+	0.640181i	$0.221140\pi$
$384$	377.622	+	69.6974i	0.983390	+	0.181504i
$385$	−13.8115	−	11.5892i	−0.0358739	−	0.0301018i
$386$	571.292	+	372.623i	1.48003	+	0.965344i
$387$	−10.6713	−	227.606i	−0.0275744	−	0.588130i
$388$	138.771	+	315.059i	0.357657	+	0.812007i
$389$	−24.4144	+	138.461i	−0.0627621	+	0.355941i	0.937212	+	0.348760i	$0.113397\pi$
$389$	−24.4144	+	138.461i	−0.0627621	+	0.355941i	−0.999974	+	0.00718155i	$0.997714\pi$
$390$	35.7552	−	57.7300i	0.0916799	−	0.148026i
$391$	−206.050	−	74.9960i	−0.526981	−	0.191806i
$392$	−180.384	+	320.881i	−0.460164	+	0.818574i
$393$	−289.686	+	6.78721i	−0.737113	+	0.0172702i
$394$	678.466	+	158.061i	1.72199	+	0.401171i
$395$	12.4511	+	21.5659i	0.0315217	+	0.0545971i
$396$	−401.069	+	296.298i	−1.01280	+	0.748227i
$397$	−388.794	−	224.470i	−0.979329	−	0.565416i	−0.0772616	−	0.997011i	$-0.524618\pi$
$397$	−388.794	−	224.470i	−0.979329	−	0.565416i	−0.902068	+	0.431595i	$0.857951\pi$
$398$	−379.546	+	405.390i	−0.953634	+	1.01857i
$399$	14.1858	−	42.0118i	0.0355533	−	0.105293i
$400$	16.7578	−	390.564i	0.0418946	−	0.976409i
$401$	433.998	+	517.218i	1.08229	+	1.28982i	0.954562	+	0.298012i	$0.0963235\pi$
$401$	433.998	+	517.218i	1.08229	+	1.28982i	0.127726	+	0.991809i	$0.459232\pi$
$402$	−533.545	−	476.577i	−1.32723	−	1.18551i
$403$	−224.132	−	615.798i	−0.556160	−	1.52804i
$404$	−384.622	−	41.9764i	−0.952034	−	0.103902i
$405$	−35.3142	−	49.7495i	−0.0871955	−	0.122838i
$406$	−6.27022	+	115.247i	−0.0154439	+	0.283859i
$407$	142.539	+	391.623i	0.350219	+	0.962219i
$408$	141.249	+	156.875i	0.346198	+	0.384499i
$409$	−159.913	+	134.183i	−0.390986	+	0.328076i	−0.816997	−	0.576642i	$-0.804363\pi$
$409$	−159.913	+	134.183i	−0.390986	+	0.328076i	0.426011	+	0.904718i	$0.359918\pi$
$410$	−8.60470	−	71.2536i	−0.0209871	−	0.173789i
$411$	−4.75092	+	14.0701i	−0.0115594	+	0.0342338i
$412$	−175.523	−	183.215i	−0.426026	−	0.444698i
$413$	−32.9070	+	56.9966i	−0.0796780	+	0.138006i
$414$	420.511	+	156.636i	1.01573	+	0.378349i
$415$	−28.4031	−	49.1956i	−0.0684412	−	0.118544i
$416$	207.543	−	433.738i	0.498902	−	1.04264i
$417$	−9.70359	−	414.160i	−0.0232700	−	0.993190i
$418$	−217.915	−	93.0127i	−0.521329	−	0.222518i
$419$	583.732	+	212.461i	1.39316	+	0.507067i	0.926139	−	0.377182i	$-0.123107\pi$
$419$	583.732	+	212.461i	1.39316	+	0.507067i	0.467016	+	0.884249i	$0.345329\pi$
$420$	8.93375	−	12.8128i	0.0212708	−	0.0305066i
$421$	−35.4132	−	6.24430i	−0.0841169	−	0.0148321i	0.131431	−	0.991325i	$-0.458043\pi$
$421$	−35.4132	−	6.24430i	−0.0841169	−	0.0148321i	−0.215548	+	0.976493i	$0.569154\pi$
$422$	33.8963	+	66.8544i	0.0803230	+	0.158423i
$423$	−391.442	−	202.174i	−0.925396	−	0.477953i
$424$	−100.956	−	82.7572i	−0.238104	−	0.195182i
$425$	138.136	−	164.624i	0.325025	−	0.387350i
$426$	35.9269	+	248.457i	0.0843354	+	0.583231i
$427$	103.740	−	18.2921i	0.242950	−	0.0428386i
$428$	−340.734	+	227.857i	−0.796107	+	0.532375i
$429$	227.240	+	581.574i	0.529696	+	1.35565i
$430$	36.4937	−	11.0777i	0.0848691	−	0.0257622i
$431$			544.689i			1.26378i	0.775058	+	0.631890i	$0.217721\pi$
$431$			544.689i			1.26378i	−0.775058	+	0.631890i	$0.782279\pi$
$432$	−286.645	−	323.201i	−0.663530	−	0.748150i
$433$	436.539			1.00817			0.504087	−	0.863653i	$-0.331829\pi$
$433$	436.539			1.00817			0.504087	+	0.863653i	$0.331829\pi$
$434$	−43.7841	−	144.239i	−0.100885	−	0.332348i
$435$	−11.3584	+	74.5946i	−0.0261113	+	0.171482i
$436$	−161.071	−	240.863i	−0.369428	−	0.552438i
$437$	37.0253	+	209.981i	0.0847262	+	0.480506i
$438$	−390.187	−	495.342i	−0.890838	−	1.13092i
$439$	−507.690	−	426.003i	−1.15647	−	0.970394i	−0.156619	−	0.987659i	$-0.550060\pi$
$439$	−507.690	−	426.003i	−1.15647	−	0.970394i	−0.999851	+	0.0172653i	$0.994504\pi$
$440$	−64.5470	−	52.9114i	−0.146698	−	0.120253i
$441$	382.086	−	159.707i	0.866408	−	0.362148i
$442$	235.757	−	119.533i	0.533386	−	0.270436i
$443$	8.35529	−	47.3852i	0.0188607	−	0.106964i	−0.973924	−	0.226874i	$-0.927149\pi$
$443$	8.35529	−	47.3852i	0.0188607	−	0.106964i	0.992785	+	0.119910i	$0.0382605\pi$
$444$	−326.923	+	153.238i	−0.736313	+	0.345130i
$445$	1.46927	−	4.03679i	0.00330174	−	0.00907145i
$446$	−144.717	+	339.051i	−0.324478	+	0.760205i
$447$	116.663	+	191.559i	0.260990	+	0.428543i
$448$	53.0892	−	97.0284i	0.118503	−	0.216581i
$449$	435.077	−	251.192i	0.968992	−	0.559448i	0.0700631	−	0.997543i	$-0.477680\pi$
$449$	435.077	−	251.192i	0.968992	−	0.559448i	0.898929	+	0.438095i	$0.144347\pi$
$450$	−285.210	+	334.767i	−0.633801	+	0.743927i
$451$	571.522	+	329.969i	1.26723	+	0.731638i
$452$	−162.270	+	155.457i	−0.359005	+	0.343932i
$453$	131.515	−	115.710i	0.290319	−	0.255430i
$454$	−787.500	+	95.0997i	−1.73458	+	0.209471i
$455$	−12.5721	−	14.9829i	−0.0276310	−	0.0329294i
$456$	63.4329	−	195.221i	0.139107	−	0.428116i
$457$	−28.7973	+	10.4814i	−0.0630138	+	0.0229351i	−0.373335	−	0.927697i	$-0.621786\pi$
$457$	−28.7973	+	10.4814i	−0.0630138	+	0.0229351i	0.310321	+	0.950632i	$0.399563\pi$
$458$	236.151	+	12.8483i	0.515613	+	0.0280529i
$459$	−16.6755	−	236.896i	−0.0363301	−	0.516113i
$460$	−8.14871	+	74.6650i	−0.0177146	+	0.162315i
$461$	336.247	−	122.384i	0.729385	−	0.265475i	0.0494807	−	0.998775i	$-0.484243\pi$
$461$	336.247	−	122.384i	0.729385	−	0.265475i	0.679905	+	0.733301i	$0.262021\pi$
$462$	44.9254	+	136.417i	0.0972412	+	0.295275i
$463$	642.712	−	539.299i	1.38815	−	1.16479i	0.422062	−	0.906567i	$-0.361306\pi$
$463$	642.712	−	539.299i	1.38815	−	1.16479i	0.966084	−	0.258226i	$-0.0831380\pi$
$464$	−22.9035	+	533.796i	−0.0493609	+	1.15042i
$465$	−19.3807	−	96.6209i	−0.0416790	−	0.207787i
$466$	208.516	+	195.223i	0.447459	+	0.418933i
$467$	20.0577	−	34.7409i	0.0429500	−	0.0743916i	−0.843751	−	0.536734i	$-0.819658\pi$
$467$	20.0577	−	34.7409i	0.0429500	−	0.0743916i	0.886701	+	0.462343i	$0.152991\pi$
$468$	−484.291	+	240.993i	−1.03481	+	0.514943i
$469$	−178.449	+	103.028i	−0.380488	+	0.219675i
$470$	16.7314	−	71.8181i	0.0355987	−	0.152805i
$471$	−815.127	−	445.490i	−1.73063	−	0.945838i
$472$	−149.295	+	265.578i	−0.316304	+	0.562665i
$473$	−119.939	+	329.530i	−0.253571	+	0.696681i
$474$	6.13426	−	198.276i	0.0129415	−	0.418304i
$475$	−205.794	−	36.2870i	−0.433250	−	0.0763937i
$476$	55.6429	−	24.5085i	0.116897	−	0.0514884i
$477$	32.2471	+	143.274i	0.0676039	+	0.300365i
$478$	222.579	−	341.250i	0.465646	−	0.713912i
$479$	127.225	−	151.621i	0.265605	−	0.316536i	−0.616714	−	0.787187i	$-0.711537\pi$
$479$	127.225	−	151.621i	0.265605	−	0.316536i	0.882319	+	0.470651i	$0.155981\pi$
$480$	40.6727	−	59.7832i	0.0847349	−	0.124548i
$481$	78.5070	+	445.235i	0.163216	+	0.925645i
$482$	−156.967	−	209.168i	−0.325657	−	0.433958i
$483$	80.7376	−	100.929i	0.167159	−	0.208963i
$484$	275.286	−	67.4719i	0.568773	−	0.139405i
$485$	64.8252			0.133660
$486$	30.4877	+	485.043i	0.0627318	+	0.998030i
$487$	247.769			0.508767			0.254383	−	0.967103i	$-0.418127\pi$
$487$	247.769			0.508767			0.254383	+	0.967103i	$0.418127\pi$
$488$	479.226	−	90.1812i	0.982020	−	0.184798i
$489$	196.940	−	246.193i	0.402741	−	0.503461i
$490$	41.6040	+	55.4400i	0.0849062	+	0.113143i
$491$	−14.3521	−	81.3949i	−0.0292304	−	0.165774i	0.966698	−	0.255919i	$-0.0823780\pi$
$491$	−14.3521	−	81.3949i	−0.0292304	−	0.165774i	−0.995929	+	0.0901452i	$0.971267\pi$
$492$	−240.596	+	518.645i	−0.489016	+	1.05416i
$493$	−188.794	+	224.996i	−0.382950	+	0.456382i
$494$	−215.285	−	140.419i	−0.435800	−	0.284248i
$495$	20.6174	+	91.6034i	0.0416513	+	0.185057i
$496$	−210.331	−	665.339i	−0.424055	−	1.34141i
$497$	71.2082	+	12.5559i	0.143276	+	0.0252634i
$498$	−13.9933	+	452.304i	−0.0280991	+	0.908240i
$499$	−279.087	+	766.786i	−0.559293	+	1.53665i	0.261373	+	0.965238i	$0.415825\pi$
$499$	−279.087	+	766.786i	−0.559293	+	1.53665i	−0.820666	+	0.571408i	$0.806398\pi$
$500$	−133.596	−	65.8199i	−0.267193	−	0.131640i
$501$	681.895	+	372.674i	1.36107	+	0.743861i
$502$	−793.686	−	184.904i	−1.58105	−	0.368335i
$503$	401.272	−	231.675i	0.797758	−	0.460586i	−0.0449287	−	0.998990i	$-0.514306\pi$
$503$	401.272	−	231.675i	0.797758	−	0.460586i	0.842687	+	0.538404i	$0.180973\pi$
$504$	−114.245	+	49.3001i	−0.226676	+	0.0978177i
$505$	−36.4270	+	63.0935i	−0.0721327	+	0.124938i
$506$	−504.148	−	472.008i	−0.996341	−	0.932823i
$507$	33.5025	+	167.024i	0.0660800	+	0.329436i
$508$	9.40828	+	142.720i	0.0185202	+	0.280944i
$509$	−500.615	+	420.066i	−0.983527	+	0.825277i	−0.984618	−	0.174722i	$-0.944097\pi$
$509$	−500.615	+	420.066i	−0.983527	+	0.825277i	0.00109073	+	0.999999i	$0.499653\pi$
$510$	37.7545	−	12.4334i	0.0740284	−	0.0243793i
$511$	−170.667	+	62.1176i	−0.333986	+	0.121561i
$512$	240.590	−	451.952i	0.469902	−	0.882718i
$513$	−191.387	+	129.221i	−0.373074	+	0.251893i
$514$	424.108	+	23.0744i	0.825112	+	0.0448918i
$515$	−44.8949	+	16.3404i	−0.0871746	+	0.0317290i
$516$	−293.612	−	78.0488i	−0.569016	−	0.151257i
$517$	435.843	+	519.417i	0.843023	+	1.00468i
$518$	12.4679	+	103.244i	0.0240693	+	0.199312i
$519$	512.527	−	450.935i	0.987528	−	0.868853i
$520$	−58.9905	−	68.6862i	−0.113443	−	0.132089i
$521$	66.3023	+	38.2797i	0.127260	+	0.0734735i	0.562278	−	0.826948i	$-0.309925\pi$
$521$	66.3023	+	38.2797i	0.127260	+	0.0734735i	−0.435019	+	0.900421i	$0.643258\pi$
$522$	389.806	−	457.537i	0.746754	−	0.876507i
$523$	562.087	−	324.521i	1.07474	−	0.620499i	0.145265	−	0.989393i	$-0.453597\pi$
$523$	562.087	−	324.521i	1.07474	−	0.620499i	0.929472	+	0.368894i	$0.120263\pi$
$524$	−107.973	+	370.959i	−0.206056	+	0.707937i
$525$	65.8879	+	108.187i	0.125501	+	0.206071i
$526$	−355.993	−	151.948i	−0.676793	−	0.288875i
$527$	131.197	−	360.462i	0.248951	−	0.683988i
$528$	215.199	+	629.072i	0.407574	+	1.19142i
$529$	−16.0618	+	91.0909i	−0.0303625	+	0.172195i
$530$	−21.9238	+	11.1157i	−0.0413657	+	0.0209731i
$531$	316.234	−	132.182i	0.595544	−	0.248930i
$532$	−47.6925	−	34.9420i	−0.0896476	−	0.0656805i
$533$	548.419	+	460.178i	1.02893	+	0.863373i
$534$	−26.8825	+	21.1757i	−0.0503418	+	0.0396549i
$535$	13.4029	+	76.0114i	0.0250521	+	0.142077i
$536$	−820.546	+	486.379i	−1.53087	+	0.907423i
$537$	−46.6298	+	306.235i	−0.0868340	+	0.570269i
$538$	−277.835	−	915.281i	−0.516423	−	1.70127i
$539$	−637.346			−1.18246
$540$	−77.4521	+	24.8643i	−0.143430	+	0.0460450i
$541$			756.956i			1.39918i	0.714545	+	0.699589i	$0.246634\pi$
$541$			756.956i			1.39918i	−0.714545	+	0.699589i	$0.753366\pi$
$542$	−71.3683	−	235.111i	−0.131676	−	0.433783i
$543$	254.614	+	651.635i	0.468903	+	1.20006i
$544$	256.262	−	116.402i	0.471071	−	0.213974i
$545$	−53.7320	+	9.47440i	−0.0985909	+	0.0173842i
$546$	22.2976	+	154.202i	0.0408382	+	0.282421i
$547$	507.935	−	605.334i	0.928584	−	1.10664i	−0.0654811	−	0.997854i	$-0.520858\pi$
$547$	507.935	−	605.334i	0.928584	−	1.10664i	0.994065	−	0.108789i	$-0.0346973\pi$
$548$	15.9726	+	11.7023i	0.0291471	+	0.0213546i
$549$	−487.419	−	251.745i	−0.887831	−	0.458551i
$550$	603.688	−	306.080i	1.09762	−	0.556510i
$551$	281.265	+	49.5946i	0.510463	+	0.0900084i
$552$	368.364	−	471.476i	0.667326	−	0.854123i
$553$	−53.6907	−	19.5418i	−0.0970899	−	0.0353378i
$554$	42.4436	+	18.1162i	0.0766131	+	0.0327007i
$555$	1.59245	+	67.9677i	0.00286929	+	0.122464i
$556$	−530.356	−	154.368i	−0.953878	−	0.277641i
$557$	−409.248	−	708.838i	−0.734735	−	1.27260i	−0.954839	−	0.297122i	$-0.903973\pi$
$557$	−409.248	−	708.838i	−0.734735	−	1.27260i	0.220104	−	0.975476i	$-0.429360\pi$
$558$	−274.019	+	735.639i	−0.491073	+	1.31835i
$559$	−190.211	+	329.455i	−0.340270	+	0.589364i
$560$	−12.6908	−	16.5132i	−0.0226621	−	0.0294878i
$561$	−116.927	+	346.285i	−0.208426	+	0.617263i
$562$	122.793	+	1016.82i	0.218493	+	1.80929i
$563$	194.821	−	163.475i	0.346042	−	0.290363i	−0.453157	−	0.891431i	$-0.649702\pi$
$563$	194.821	−	163.475i	0.346042	−	0.290363i	0.799198	+	0.601068i	$0.205258\pi$
$564$	−414.548	+	416.197i	−0.735013	+	0.737937i
$565$	14.4724	+	39.7626i	0.0256148	+	0.0703762i
$566$	−430.820	−	23.4396i	−0.761166	−	0.0414127i
$567$	135.442	+	35.3591i	0.238875	+	0.0623618i
$568$	330.281	+	54.3380i	0.581480	+	0.0956656i
$569$	−85.8641	−	235.910i	−0.150904	−	0.414604i	0.841090	−	0.540896i	$-0.181915\pi$
$569$	−85.8641	−	235.910i	−0.150904	−	0.414604i	−0.991993	+	0.126292i	$0.959692\pi$
$570$	−28.8266	−	25.7486i	−0.0505729	−	0.0451730i
$571$	−395.850	−	471.756i	−0.693257	−	0.826192i	0.298488	−	0.954413i	$-0.403518\pi$
$571$	−395.850	−	471.756i	−0.693257	−	0.826192i	−0.991746	+	0.128221i	$0.959073\pi$
$572$	830.721	−	54.7623i	1.45231	−	0.0957384i
$573$	−329.652	+	976.282i	−0.575310	+	1.70381i
$574$	120.212	+	112.548i	0.209428	+	0.196077i
$575$	−527.498	−	304.551i	−0.917389	−	0.529655i
$576$	−526.206	+	234.271i	−0.913552	+	0.406721i
$577$	12.5998	+	21.8235i	0.0218367	+	0.0378224i	0.876737	−	0.480970i	$-0.159715\pi$
$577$	12.5998	+	21.8235i	0.0218367	+	0.0378224i	−0.854901	+	0.518792i	$0.826382\pi$
$578$	−412.235	−	96.0379i	−0.713209	−	0.166155i
$579$	−1022.83	+	23.9644i	−1.76654	+	0.0413893i
$580$	90.2474	+	44.4629i	0.155599	+	0.0766602i
$581$	122.478	+	44.5784i	0.210806	+	0.0767270i
$582$	−439.017	−	271.906i	−0.754325	−	0.467192i
$583$	39.2479	−	222.586i	0.0673206	−	0.381794i
$584$	−786.696	+	296.599i	−1.34708	+	0.507874i
$585$	4.77039	+	101.747i	0.00815451	+	0.173926i
$586$	563.321	+	367.424i	0.961299	+	0.627003i
$587$	−315.750	−	264.946i	−0.537905	−	0.451356i	0.332916	−	0.942957i	$-0.391968\pi$
$587$	−315.750	−	264.946i	−0.537905	−	0.451356i	−0.870821	+	0.491601i	$0.836412\pi$
$588$	−49.2158	−	549.963i	−0.0837004	−	0.935312i
$589$	−367.340	+	64.7719i	−0.623667	+	0.109969i
$590$	34.4336	+	45.8850i	0.0583621	+	0.0777712i
$591$	−973.292	+	380.296i	−1.64686	+	0.643479i
$592$	63.1954	+	477.240i	0.106749	+	0.806149i
$593$			107.229i			0.180825i	0.995904	+	0.0904126i	$0.0288186\pi$
$593$			107.229i			0.180825i	−0.995904	+	0.0904126i	$0.971181\pi$
$594$	244.598	−	706.846i	0.411781	−	1.18998i
$595$		−	11.4489i		−	0.0192418i
$596$	290.453	−	71.1893i	0.487337	−	0.119445i
$597$	125.394	−	823.510i	0.210041	−	1.37941i
$598$	−449.684	−	599.232i	−0.751979	−	1.00206i
$599$	−330.710	+	58.3131i	−0.552104	+	0.0973508i	−0.442738	−	0.896651i	$-0.645993\pi$
$599$	−330.710	+	58.3131i	−0.552104	+	0.0973508i	−0.109365	+	0.994002i	$0.534882\pi$
$600$	310.732	+	497.285i	0.517887	+	0.828808i
$601$	755.336	+	633.802i	1.25680	+	1.05458i	0.996015	+	0.0891810i	$0.0284250\pi$
$601$	755.336	+	633.802i	1.25680	+	1.05458i	0.260782	+	0.965398i	$0.416019\pi$
$602$	−47.8051	+	73.2931i	−0.0794104	+	0.121749i
$603$	1064.36	+	136.644i	1.76511	+	0.226607i
$604$	−94.1465	−	213.746i	−0.155872	−	0.353884i
$605$	9.26769	−	52.5597i	0.0153185	−	0.0868755i
$606$	511.338	−	274.498i	0.843792	−	0.452967i
$607$	−273.868	−	99.6797i	−0.451183	−	0.164217i	0.106427	−	0.994321i	$-0.466059\pi$
$607$	−273.868	−	99.6797i	−0.451183	−	0.164217i	−0.557609	+	0.830104i	$0.688281\pi$
$608$	−222.618	−	159.209i	−0.366149	−	0.261857i
$609$	−90.0510	−	147.863i	−0.147867	−	0.242796i
$610$	20.8337	−	89.4271i	0.0341537	−	0.146602i
$611$	367.780	+	637.014i	0.601931	+	1.04258i
$612$	−307.837	−	74.1557i	−0.503001	−	0.121169i
$613$	510.112	+	294.514i	0.832157	+	0.480446i	0.854591	−	0.519302i	$-0.173808\pi$
$613$	510.112	+	294.514i	0.832157	+	0.480446i	−0.0224334	+	0.999748i	$0.507141\pi$
$614$	−545.037	−	510.291i	−0.887683	−	0.831092i
$615$	71.1133	+	80.8265i	0.115631	+	0.131425i
$616$	191.486	−	2.19699i	0.310855	−	0.00356655i
$617$	−710.456	−	846.689i	−1.15147	−	1.37227i	−0.916388	−	0.400291i	$-0.868909\pi$
$617$	−710.456	−	846.689i	−1.15147	−	1.37227i	−0.235080	−	0.971976i	$-0.575535\pi$
$618$	372.582	+	77.6468i	0.602883	+	0.125642i
$619$	−323.797	−	889.624i	−0.523096	−	1.43720i	−0.867056	−	0.498211i	$-0.833991\pi$
$619$	−323.797	−	889.624i	−0.523096	−	1.43720i	0.343960	−	0.938984i	$-0.388232\pi$
$620$	−130.618	−	14.2553i	−0.210675	−	0.0229924i
$621$	−653.036	+	163.141i	−1.05159	+	0.262707i
$622$	−232.384	−	12.6433i	−0.373608	−	0.0203269i
$623$	3.37116	+	9.26219i	0.00541118	+	0.0148671i
$624$	111.402	+	712.597i	0.178530	+	1.14198i
$625$	446.431	−	374.600i	0.714289	−	0.599360i
$626$	466.845	−	56.3770i	0.745759	−	0.0900590i
$627$	348.462	−	69.8964i	0.555761	−	0.111478i
$628$	−894.369	+	856.817i	−1.42415	+	1.36436i
$629$	−132.321	+	229.187i	−0.210367	+	0.364367i
$630$	−0.175787	+	23.4291i	−0.000279027	+	0.0371890i
$631$	−293.726	−	508.749i	−0.465493	−	0.806258i	0.533730	−	0.845655i	$-0.320790\pi$
$631$	−293.726	−	508.749i	−0.465493	−	0.806258i	−0.999224	+	0.0393965i	$0.987456\pi$
$632$	−249.565	−	87.6051i	−0.394882	−	0.138616i
$633$	−98.6614	−	53.9212i	−0.155863	−	0.0851835i
$634$	−282.833	+	662.637i	−0.446109	+	1.04517i
$635$	25.3081	+	9.21140i	0.0398553	+	0.0145061i
$636$	195.099	+	16.6788i	0.306760	+	0.0262246i
$637$	−680.898	−	120.061i	−1.06891	−	0.188478i
$638$	−825.080	+	418.330i	−1.29323	+	0.655689i
$639$	−255.293	−	276.810i	−0.399519	−	0.433192i
$640$	−59.6209	−	75.7634i	−0.0931577	−	0.118380i
$641$	−171.072	+	203.875i	−0.266883	+	0.318058i	−0.882797	−	0.469755i	$-0.844342\pi$
$641$	−171.072	+	203.875i	−0.266883	+	0.318058i	0.615914	+	0.787813i	$0.288787\pi$
$642$	228.057	−	570.991i	0.355229	−	0.889394i
$643$	−527.601	+	93.0303i	−0.820530	+	0.144682i	−0.568127	−	0.822941i	$-0.692332\pi$
$643$	−527.601	+	93.0303i	−0.820530	+	0.144682i	−0.252403	+	0.967622i	$0.581221\pi$
$644$	−95.7963	−	143.253i	−0.148752	−	0.222442i
$645$	−35.7354	+	44.6724i	−0.0554037	+	0.0692595i
$646$	−43.7019	−	143.968i	−0.0676500	−	0.222861i
$647$			239.521i			0.370202i	0.982719	+	0.185101i	$0.0592612\pi$
$647$			239.521i			0.370202i	−0.982719	+	0.185101i	$0.940739\pi$
$648$	628.823	+	156.480i	0.970406	+	0.241481i
$649$	−527.500			−0.812789
$650$	702.599	−	213.276i	1.08092	−	0.328116i
$651$	176.565	+	141.242i	0.271221	+	0.216961i
$652$	−233.672	−	349.430i	−0.358393	−	0.535936i
$653$	211.527	+	1199.63i	0.323931	+	1.83710i	0.517082	+	0.855936i	$0.327018\pi$
$653$	211.527	+	1199.63i	0.323931	+	1.83710i	−0.193151	+	0.981169i	$0.561871\pi$
$654$	403.630	+	161.212i	0.617172	+	0.246502i
$655$	55.7298	+	46.7629i	0.0850837	+	0.0713937i
$656$	562.422	+	514.586i	0.857350	+	0.784430i
$657$	902.978	+	281.517i	1.37440	+	0.428489i
$658$	76.5123	+	150.907i	0.116280	+	0.229342i
$659$	164.050	−	930.374i	0.248938	−	1.41180i	−0.562229	−	0.826982i	$-0.690056\pi$
$659$	164.050	−	930.374i	0.248938	−	1.41180i	0.811167	−	0.584815i	$-0.198833\pi$
$660$	124.738	+	10.6637i	0.188997	+	0.0161572i
$661$	292.516	−	803.680i	0.442535	−	1.21585i	−0.495284	−	0.868731i	$-0.664936\pi$
$661$	292.516	−	803.680i	0.442535	−	1.21585i	0.937819	−	0.347124i	$-0.112842\pi$
$662$	535.013	+	228.359i	0.808177	+	0.344954i
$663$	−190.149	+	347.921i	−0.286801	+	0.524768i
$664$	569.303	+	199.843i	0.857384	+	0.300968i
$665$	−9.64130	+	5.56640i	−0.0144982	+	0.00837053i
$666$	274.302	−	466.979i	0.411865	−	0.701170i
$667$	720.949	+	416.240i	1.08088	+	0.624048i
$668$	748.185	−	716.771i	1.12004	−	1.07301i
$669$	−108.751	−	542.167i	−0.162557	−	0.810415i
$670$	21.5338	+	178.317i	0.0321400	+	0.266144i
$671$	542.707	+	646.772i	0.808803	+	0.963893i
$672$	16.6823	+	165.063i	0.0248249	+	0.245630i
$673$	−870.181	+	316.720i	−1.29299	+	0.470609i	−0.894707	−	0.446654i	$-0.852615\pi$
$673$	−870.181	+	316.720i	−1.29299	+	0.470609i	−0.398281	+	0.917263i	$0.630393\pi$
$674$	48.8515	−	897.891i	0.0724800	−	1.33218i
$675$	68.6521	−	656.101i	0.101707	−	0.972001i
$676$	225.794	+	24.6424i	0.334014	+	0.0364533i
$677$	414.669	−	150.927i	0.612510	−	0.222935i	−0.0170910	−	0.999854i	$-0.505441\pi$
$677$	414.669	−	150.927i	0.612510	−	0.222935i	0.629601	+	0.776918i	$0.283218\pi$
$678$	68.7702	−	329.989i	0.101431	−	0.486709i
$679$	−113.940	+	95.6067i	−0.167805	+	0.140805i
$680$	−0.608034	−	52.9953i	−0.000894168	−	0.0779343i
$681$	893.300	−	785.949i	1.31175	−	1.15411i
$682$	825.728	−	881.953i	1.21074	−	1.29319i
$683$	79.6196	−	137.905i	0.116573	−	0.201911i	−0.801834	−	0.597547i	$-0.796142\pi$
$683$	79.6196	−	137.905i	0.116573	−	0.201911i	0.918408	+	0.395636i	$0.129476\pi$
$684$	87.2216	+	295.290i	0.127517	+	0.431710i
$685$	3.22894	−	1.86423i	0.00471379	−	0.00272151i
$686$	−319.834	−	74.5113i	−0.466230	−	0.108617i
$687$	−302.984	+	184.523i	−0.441024	+	0.268592i
$688$	−217.391	+	341.803i	−0.315975	+	0.496807i
$689$	83.8598	−	230.403i	0.121712	−	0.334402i
$690$	−53.2872	−	99.2639i	−0.0772278	−	0.143861i
$691$	−401.100	−	70.7248i	−0.580463	−	0.102351i	−0.124296	−	0.992245i	$-0.539667\pi$
$691$	−401.100	−	70.7248i	−0.580463	−	0.102351i	−0.456168	+	0.889894i	$0.650778\pi$
$692$	−366.900	−	832.992i	−0.530202	−	1.20375i
$693$	−171.338	−	130.599i	−0.247241	−	0.188454i
$694$	1087.67	+	709.426i	1.56724	+	1.02223i
$695$	−66.8563	+	79.6763i	−0.0961962	+	0.114642i
$696$	−424.688	−	679.655i	−0.610183	−	0.976516i
$697$	72.7695	+	412.696i	0.104404	+	0.592103i
$698$	−61.1909	+	45.9197i	−0.0876660	+	0.0657875i
$699$	−423.579	−	64.4977i	−0.605979	−	0.0922714i
$700$	164.040	−	40.2058i	0.234343	−	0.0574368i
$701$	319.576			0.455886			0.227943	−	0.973675i	$-0.426800\pi$
$701$	319.576			0.455886			0.227943	+	0.973675i	$0.426800\pi$
$702$	394.465	−	709.072i	0.561916	−	1.01007i
$703$	257.337			0.366055
$704$	886.250	−	20.3392i	1.25888	−	0.0288909i
$705$	40.2558	+	103.027i	0.0571004	+	0.146137i
$706$	69.5219	−	52.1716i	0.0984730	−	0.0738974i
$707$	−29.0269	−	164.620i	−0.0410565	−	0.232843i
$708$	−40.7335	−	455.178i	−0.0575333	−	0.642907i
$709$	−126.617	+	150.896i	−0.178585	+	0.212830i	−0.847910	−	0.530140i	$-0.822139\pi$
$709$	−126.617	+	150.896i	−0.178585	+	0.212830i	0.669324	+	0.742970i	$0.266584\pi$
$710$	34.4327	−	52.7910i	0.0484967	−	0.0743535i
$711$	160.684	+	250.441i	0.225997	+	0.352238i
$712$	16.0966	+	42.6945i	0.0226076	+	0.0599642i
$713$	−1070.72	−	188.797i	−1.50172	−	0.264793i
$714$	−48.0216	+	77.5353i	−0.0672571	+	0.108593i
$715$	53.6164	−	147.310i	0.0749879	−	0.206028i
$716$	370.494	+	182.534i	0.517450	+	0.254936i
$717$	14.3147	+	610.965i	0.0199647	+	0.852114i
$718$	−13.2407	+	56.8348i	−0.0184411	+	0.0791571i
$719$	768.155	−	443.495i	1.06837	−	0.616822i	0.140632	−	0.990062i	$-0.455087\pi$
$719$	768.155	−	443.495i	1.06837	−	0.616822i	0.927735	+	0.373240i	$0.121753\pi$
$720$	0.430594	+	108.460i	0.000598047	+	0.150638i
$721$	54.8099	−	94.9335i	0.0760192	−	0.131669i
$722$	393.464	−	420.256i	0.544964	−	0.582071i
$723$	371.656	+	125.494i	0.514047	+	0.173574i
$724$	930.795	−	61.3594i	1.28563	−	0.0847505i
$725$	−625.000	+	524.437i	−0.862069	+	0.723361i
$726$	−283.223	+	317.078i	−0.390114	+	0.436747i
$727$	858.872	−	312.604i	1.18139	−	0.429992i	0.324699	−	0.945818i	$-0.394737\pi$
$727$	858.872	−	312.604i	1.18139	−	0.429992i	0.856693	+	0.515826i	$0.172515\pi$
$728$	204.985	+	33.7244i	0.281573	+	0.0463247i
$729$	−449.349	−	574.044i	−0.616390	−	0.787441i
$730$	−8.60060	+	158.079i	−0.0117816	+	0.216547i
$731$	−209.253	+	76.1618i	−0.286256	+	0.104189i
$732$	−516.190	+	518.243i	−0.705177	+	0.707982i
$733$	335.556	+	399.900i	0.457784	+	0.545566i	0.944723	−	0.327871i	$-0.106331\pi$
$733$	335.556	+	399.900i	0.457784	+	0.545566i	−0.486939	+	0.873436i	$0.661887\pi$
$734$	−1015.93	+	122.686i	−1.38411	+	0.167147i
$735$	−98.5075	−	33.2622i	−0.134024	−	0.0452546i
$736$	−451.037	−	658.010i	−0.612822	−	0.894036i
$737$	−1430.27	−	825.768i	−1.94067	−	1.12044i
$738$	−142.580	−	845.664i	−0.193198	−	1.14589i
$739$	13.9176	−	8.03535i	0.0188331	−	0.0108733i	−0.490554	−	0.871411i	$-0.663206\pi$
$739$	13.9176	−	8.03535i	0.0188331	−	0.0108733i	0.509387	+	0.860538i	$0.329872\pi$
$740$	87.0366	+	25.3333i	0.117617	+	0.0342342i
$741$	385.441	−	9.03072i	0.520163	−	0.0121872i
$742$	22.1403	−	51.8716i	0.0298387	−	0.0699078i
$743$	−19.1975	+	52.7447i	−0.0258378	+	0.0709889i	−0.951941	−	0.306282i	$-0.900915\pi$
$743$	−19.1975	+	52.7447i	−0.0258378	+	0.0709889i	0.926103	+	0.377270i	$0.123137\pi$
$744$	824.797	+	644.413i	1.10860	+	0.866147i
$745$	9.77829	−	55.4554i	0.0131252	−	0.0744368i
$746$	654.299	+	1290.49i	0.877076	+	1.72988i
$747$	−366.548	−	571.301i	−0.490694	−	0.764794i
$748$	393.108	+	288.011i	0.525545	+	0.385042i
$749$	−135.662	−	113.834i	−0.181124	−	0.151981i
$750$	221.096	−	31.9705i	0.294795	−	0.0426274i
$751$	47.1698	+	267.513i	0.0628093	+	0.356209i	0.999973	+	0.00731993i	$0.00233003\pi$
$751$	47.1698	+	267.513i	0.0628093	+	0.356209i	−0.937164	+	0.348889i	$0.886559\pi$
$752$	362.180	+	694.465i	0.481623	+	0.923491i
$753$	1138.58	−	444.880i	1.51206	−	0.590810i
$754$	−960.264	+	291.490i	−1.27356	+	0.386592i
$755$	−43.9795			−0.0582509
$756$	99.4625	−	157.932i	0.131564	−	0.208905i
$757$		−	1089.55i		−	1.43930i	−0.694335	−	0.719652i	$-0.744301\pi$
$757$		−	1089.55i		−	1.43930i	0.694335	−	0.719652i	$-0.255699\pi$
$758$	−991.636	+	301.013i	−1.30823	+	0.397115i
$759$	1024.13	+	155.942i	1.34931	+	0.205457i
$760$	−44.3327	+	26.2782i	−0.0583325	+	0.0345766i
$761$	78.9431	−	13.9198i	0.103736	−	0.0182915i	−0.121539	−	0.992587i	$-0.538783\pi$
$761$	78.9431	−	13.9198i	0.103736	−	0.0182915i	0.225275	+	0.974295i	$0.427672\pi$
$762$	−132.758	−	168.536i	−0.174223	−	0.221176i
$763$	80.4686	−	95.8987i	0.105463	−	0.125686i
$764$	1108.29	+	811.991i	1.45064	+	1.06282i
$765$	−36.1442	+	47.4191i	−0.0472473	+	0.0619858i
$766$	447.118	+	881.861i	0.583706	+	1.15125i
$767$	−563.547	−	99.3685i	−0.734741	−	0.129555i
$768$	85.9868	+	763.171i	0.111962	+	0.993712i
$769$	−64.1118	−	23.3348i	−0.0833703	−	0.0303443i	0.299998	−	0.953940i	$-0.403014\pi$
$769$	−64.1118	−	23.3348i	−0.0833703	−	0.0303443i	−0.383369	+	0.923595i	$0.625236\pi$
$770$	14.1556	−	33.1645i	0.0183839	−	0.0430708i
$771$	−544.134	+	331.387i	−0.705751	+	0.429815i
$772$	−381.234	+	1309.79i	−0.493827	+	1.69662i
$773$	−417.557	−	723.229i	−0.540177	−	0.935613i	−0.998893	−	0.0470308i	$-0.985024\pi$
$773$	−417.557	−	723.229i	−0.540177	−	0.935613i	0.458717	−	0.888582i	$-0.348309\pi$
$774$	429.387	−	152.646i	0.554764	−	0.197217i
$775$	532.780	−	922.802i	0.687458	−	1.19071i
$776$	−522.334	+	448.602i	−0.673111	+	0.578096i
$777$	−103.040	−	117.115i	−0.132613	−	0.150727i
$778$	−279.166	+	33.7125i	−0.358825	+	0.0433323i
$779$	312.159	−	261.932i	0.400717	−	0.336242i
$780$	131.253	+	34.8901i	0.168273	+	0.0447309i
$781$	198.214	+	544.589i	0.253796	+	0.697297i
$782$	23.8248	−	437.899i	0.0304665	−	0.559974i
$783$	−93.8289	+	896.713i	−0.119833	+	1.14523i
$784$	−718.883	−	158.805i	−0.916943	−	0.202557i
$785$	79.7660	+	219.155i	0.101613	+	0.279179i
$786$	−181.276	−	550.449i	−0.230631	−	0.700317i
$787$	137.093	+	163.381i	0.174197	+	0.207600i	0.846078	−	0.533059i	$-0.178958\pi$
$787$	137.093	+	163.381i	0.174197	+	0.207600i	−0.671881	+	0.740659i	$0.734513\pi$
$788$	91.6474	+	1390.25i	0.116304	+	1.76428i
$789$	569.259	−	114.185i	0.721494	−	0.144721i
$790$	−34.0389	+	36.3567i	−0.0430873	+	0.0460212i
$791$	−84.0807	−	48.5440i	−0.106297	−	0.0613704i
$792$	−800.039	−	595.426i	−1.01015	−	0.751800i
$793$	457.955	+	793.202i	0.577497	+	1.00025i
$794$	203.723	−	874.463i	0.256578	−	1.10134i
$795$	17.6826	−	32.3544i	0.0222422	−	0.0406973i
$796$	−996.314	−	490.861i	−1.25165	−	0.616660i
$797$	−901.188	−	328.006i	−1.13073	−	0.411550i	−0.292170	−	0.956366i	$-0.594377\pi$
$797$	−901.188	−	328.006i	−1.13073	−	0.411550i	−0.838556	+	0.544816i	$0.816599\pi$
$798$	88.6420	+	2.74240i	0.111080	+	0.00343659i
$799$	−74.7669	+	424.024i	−0.0935755	+	0.530693i
$800$	757.185	−	194.819i	0.946481	−	0.243524i
$801$	15.2781	−	49.0052i	0.0190738	−	0.0611800i
$802$	−737.716	+	1131.04i	−0.919845	+	1.41027i
$803$	−1115.12	−	935.697i	−1.38869	−	1.16525i
$804$	602.106	−	1297.94i	0.748888	−	1.61436i
$805$	−31.9570	+	5.63488i	−0.0396981	+	0.00699985i
$806$	1048.29	−	786.673i	1.30061	−	0.976022i
$807$	1120.41	+	896.262i	1.38836	+	1.11061i
$808$	−143.105	−	760.463i	−0.177110	−	0.941167i
$809$			369.622i			0.456888i	0.973557	+	0.228444i	$0.0733638\pi$
$809$			369.622i			0.456888i	−0.973557	+	0.228444i	$0.926636\pi$
$810$	74.6940	−	96.4842i	0.0922148	−	0.119116i
$811$			799.107i			0.985335i	0.870218	+	0.492668i	$0.163978\pi$
$811$			799.107i			0.985335i	−0.870218	+	0.492668i	$0.836022\pi$
$812$	−224.199	+	54.9505i	−0.276107	+	0.0676730i
$813$	287.802	+	230.225i	0.354000	+	0.283180i
$814$	−666.672	+	500.293i	−0.819007	+	0.614610i
$815$	−77.9514	+	13.7449i	−0.0956459	+	0.0168650i
$816$	−218.168	+	361.452i	−0.267363	+	0.442955i
$817$	165.876	+	139.186i	0.203030	+	0.170362i
$818$	−349.694	−	228.086i	−0.427499	−	0.278834i
$819$	−158.445	−	171.799i	−0.193461	−	0.209767i
$820$	131.364	−	57.8608i	0.160201	−	0.0705619i
$821$	101.415	−	575.154i	0.123526	−	0.700552i	−0.858646	−	0.512569i	$-0.828694\pi$
$821$	101.415	−	575.154i	0.123526	−	0.700552i	0.982172	−	0.187983i	$-0.0601951\pi$
$822$	−29.6869	−	0.918451i	−0.0361154	−	0.00111734i
$823$	−1069.49	−	389.262i	−1.29950	−	0.472979i	−0.402666	−	0.915347i	$-0.631916\pi$
$823$	−1069.49	−	389.262i	−1.29950	−	0.472979i	−0.896834	+	0.442368i	$0.854139\pi$
$824$	248.666	−	442.346i	0.301779	−	0.536827i
$825$	−486.903	+	890.902i	−0.590185	+	1.07988i
$826$	−128.195	−	29.8655i	−0.155200	−	0.0361567i
$827$	408.190	+	707.006i	0.493580	+	0.854905i	0.999973	−	0.00739790i	$-0.00235485\pi$
$827$	408.190	+	707.006i	0.493580	+	0.854905i	−0.506393	+	0.862303i	$0.669022\pi$
$828$	−55.4789	+	895.757i	−0.0670035	+	1.08183i
$829$	−1069.91	−	617.712i	−1.29060	−	0.745129i	−0.311841	−	0.950134i	$-0.600946\pi$
$829$	−1069.91	−	617.712i	−1.29060	−	0.745129i	−0.978761	+	0.205005i	$0.934279\pi$
$830$	77.6489	−	82.9362i	0.0935529	−	0.0999231i
$831$	−67.8704	+	13.6138i	−0.0816732	+	0.0163824i
$832$	950.642	+	145.219i	1.14260	+	0.174542i
$833$	−260.147	−	310.031i	−0.312302	−	0.372186i
$834$	786.971	−	259.168i	0.943610	−	0.310753i
$835$	−66.7283	−	183.334i	−0.0799141	−	0.219562i
$836$	51.4116	−	471.074i	0.0614971	−	0.563486i
$837$	−285.398	−	1142.42i	−0.340977	−	1.36489i
$838$	−67.4948	+	1240.55i	−0.0805427	+	1.48038i
$839$	65.1973	+	179.128i	0.0777083	+	0.213502i	0.972464	−	0.233055i	$-0.0748723\pi$
$839$	65.1973	+	179.128i	0.0777083	+	0.213502i	−0.894755	+	0.446557i	$0.852650\pi$
$840$	29.7106	+	9.65384i	0.0353698	+	0.0114927i
$841$	209.963	−	176.180i	0.249659	−	0.209489i
$842$	−8.62241	−	71.4003i	−0.0102404	−	0.0847984i
$843$	−1014.82	−	1153.43i	−1.20382	−	1.36825i
$844$	−108.253	+	103.707i	−0.128261	+	0.122876i
$845$	21.3846	−	37.0393i	0.0253073	−	0.0438335i
$846$	159.514	−	866.580i	0.188551	−	1.02433i
$847$	61.2278	+	106.050i	0.0722878	+	0.125206i
$848$	99.7299	−	241.283i	0.117606	−	0.284532i
$849$	552.746	−	336.632i	0.651056	−	0.396505i
$850$	395.299	+	168.725i	0.465058	+	0.198500i
$851$	704.850	+	256.544i	0.828261	+	0.301462i
$852$	−454.618	+	213.092i	−0.533589	+	0.250107i
$853$	643.938	+	113.544i	0.754910	+	0.133111i	0.537842	−	0.843045i	$-0.319240\pi$
$853$	643.938	+	113.544i	0.754910	+	0.133111i	0.217068	+	0.976156i	$0.430351\pi$
$854$	95.2723	+	187.907i	0.111560	+	0.220032i
$855$	57.5058	+	7.38264i	0.0672582	+	0.00863466i
$856$	−634.008	−	519.718i	−0.740663	−	0.607147i
$857$	125.581	−	149.662i	0.146536	−	0.174634i	−0.687784	−	0.725915i	$-0.741416\pi$
$857$	125.581	−	149.662i	0.146536	−	0.174634i	0.834320	+	0.551281i	$0.185861\pi$
$858$	−980.990	+	772.739i	−1.14335	+	0.900628i
$859$	−1125.85	+	198.517i	−1.31065	+	0.231103i	−0.784946	−	0.619565i	$-0.787309\pi$
$859$	−1125.85	+	198.517i	−1.31065	+	0.231103i	−0.525704	+	0.850668i	$0.676198\pi$
$860$	42.4005	+	63.4052i	0.0493029	+	0.0737270i
$861$	−244.198	−	37.1836i	−0.283621	−	0.0431866i
$862$	−1042.41	+	316.426i	−1.20929	+	0.367084i
$863$			689.109i			0.798504i	0.916841	+	0.399252i	$0.130730\pi$
$863$			689.109i			0.798504i	−0.916841	+	0.399252i	$0.869270\pi$
$864$	452.012	−	736.330i	0.523162	−	0.852233i
$865$	−171.393			−0.198142
$866$	253.599	+	835.436i	0.292839	+	0.964707i
$867$	591.371	−	231.067i	0.682089	−	0.266514i
$868$	250.605	−	167.585i	0.288715	−	0.193071i
$869$	−79.5221	−	450.992i	−0.0915099	−	0.518979i
$870$	−149.355	+	21.5968i	−0.171673	+	0.0248239i
$871$	−1372.45	−	1151.62i	−1.57572	−	1.32219i
$872$	367.386	−	448.177i	0.421314	−	0.513964i
$873$	773.749	−	36.2771i	0.886311	−	0.0415546i
$874$	−380.347	+	192.842i	−0.435179	+	0.220643i
$875$	11.1733	−	63.3667i	0.0127694	−	0.0724190i
$876$	721.300	−	1034.49i	0.823402	−	1.18092i
$877$	48.1105	−	132.183i	0.0548581	−	0.150721i	−0.909237	−	0.416279i	$-0.863334\pi$
$877$	48.1105	−	132.183i	0.0548581	−	0.150721i	0.964095	+	0.265558i	$0.0855561\pi$
$878$	520.340	−	1219.08i	0.592642	−	1.38848i
$879$	−1008.56	+	23.6300i	−1.14739	+	0.0268829i
$880$	63.7631	−	154.266i	0.0724580	−	0.175302i
$881$	−30.1902	+	17.4303i	−0.0342681	+	0.0197847i	−0.517036	−	0.855964i	$-0.672965\pi$
$881$	−30.1902	+	17.4303i	−0.0342681	+	0.0197847i	0.482768	+	0.875748i	$0.339631\pi$
$882$	527.608	+	638.446i	0.598195	+	0.723862i
$883$	286.808	+	165.589i	0.324811	+	0.187530i	0.653535	−	0.756896i	$-0.273285\pi$
$883$	286.808	+	165.589i	0.324811	+	0.187530i	−0.328724	+	0.944426i	$0.606619\pi$
$884$	365.716	+	381.744i	0.413706	+	0.431838i
$885$	−81.5299	−	27.5295i	−0.0921242	−	0.0311068i
$886$	95.5383	−	11.5374i	0.107831	−	0.0130218i
$887$	−26.5047	−	31.5871i	−0.0298813	−	0.0356112i	0.750897	−	0.660420i	$-0.229622\pi$
$887$	−26.5047	−	31.5871i	−0.0298813	−	0.0356112i	−0.780778	+	0.624808i	$0.785177\pi$
$888$	−483.181	−	536.636i	−0.544123	−	0.604320i
$889$	−58.0680	+	21.1350i	−0.0653183	+	0.0237739i
$890$	8.57905	+	0.466760i	0.00963938	+	0.000524449i
$891$	297.351	+	1081.83i	0.333727	+	1.21418i
$892$	−732.937	−	79.9905i	−0.821678	−	0.0896755i
$893$	393.430	−	143.197i	0.440571	−	0.160355i
$894$	−298.827	+	334.548i	−0.334258	+	0.374214i
$895$	59.5763	−	49.9904i	0.0665657	−	0.0558552i
$896$	216.531	+	45.2339i	0.241664	+	0.0504842i
$897$	1064.73	+	359.519i	1.18699	+	0.400802i
$898$	733.473	+	686.714i	0.816785	+	0.764715i
$899$	−728.167	+	1261.22i	−0.809975	+	1.40292i
$900$	−806.355	−	351.351i	−0.895950	−	0.390390i
$901$	124.295	−	71.7617i	0.137952	−	0.0796468i
$902$	−299.470	+	1285.45i	−0.332007	+	1.42511i
$903$	−3.07448	−	131.222i	−0.00340474	−	0.145318i
$904$	−391.777	−	220.239i	−0.433382	−	0.243627i
$905$	60.0754	−	165.056i	0.0663816	−	0.182382i
$906$	297.843	+	184.469i	0.328745	+	0.203609i
$907$	176.395	+	31.1031i	0.194481	+	0.0342923i	0.270040	−	0.962849i	$-0.412963\pi$
$907$	176.395	+	31.1031i	0.194481	+	0.0342923i	−0.0755589	+	0.997141i	$0.524074\pi$
$908$	−639.481	−	1451.85i	−0.704274	−	1.59895i
$909$	−399.483	+	773.465i	−0.439475	+	0.850897i
$910$	21.3703	−	32.7642i	0.0234838	−	0.0360046i
$911$	752.808	−	897.162i	0.826354	−	0.984810i	−0.173646	−	0.984808i	$-0.555555\pi$
$911$	752.808	−	897.162i	0.826354	−	0.984810i	1.00000		1.75870e-6i	$-5.59811e-7\pi$
$912$	410.458	+	7.98656i	0.450064	+	0.00875719i
$913$	181.404	+	1028.79i	0.198690	+	1.12683i
$914$	−36.7881	−	49.0225i	−0.0402496	−	0.0536351i
$915$	50.1260	+	128.288i	0.0547825	+	0.140205i
$916$	112.598	+	459.403i	0.122924	+	0.501531i
$917$	−166.921			−0.182029
$918$	443.677	−	169.533i	0.483308	−	0.184676i
$919$	−502.916			−0.547243			−0.273622	−	0.961837i	$-0.588222\pi$
$919$	−502.916			−0.547243			−0.273622	+	0.961837i	$0.588222\pi$
$920$	−147.626	+	27.7803i	−0.160463	+	0.0301960i
$921$	1107.19	+	168.590i	1.20216	+	0.183051i
$922$	429.550	+	572.403i	0.465890	+	0.620827i
$923$	109.171	+	619.142i	0.118279	+	0.670793i
$924$	−234.973	+	165.226i	−0.254300	+	0.178816i
$925$	−472.531	+	563.141i	−0.510845	+	0.608801i
$926$	1405.47	+	916.709i	1.51778	+	0.989966i
$927$	−526.719	+	220.162i	−0.568197	+	0.237500i
$928$	−1034.87	+	266.266i	−1.11516	+	0.286924i
$929$	−1287.07	−	226.945i	−1.38544	−	0.244290i	−0.569291	−	0.822136i	$-0.692782\pi$
$929$	−1287.07	−	226.945i	−1.38544	−	0.244290i	−0.816146	+	0.577846i	$0.803893\pi$
$930$	173.651	−	93.2202i	0.186722	−	0.100237i
$931$	−134.600	+	369.811i	−0.144576	+	0.397219i
$932$	−252.479	+	512.462i	−0.270900	+	0.549852i
$933$	298.151	−	181.580i	0.319562	−	0.194619i
$934$	78.1382	+	18.2038i	0.0836597	+	0.0194901i
$935$	79.4689	−	45.8814i	0.0849935	−	0.0490710i
$936$	−742.545	−	786.822i	−0.793317	−	0.840622i
$937$	−132.759	+	229.946i	−0.141686	+	0.245407i	−0.928132	−	0.372252i	$-0.878586\pi$
$937$	−132.759	+	229.946i	−0.141686	+	0.245407i	0.786446	+	0.617659i	$0.211919\pi$
$938$	−300.837	−	281.659i	−0.320722	−	0.300276i
$939$	−529.566	+	465.926i	−0.563968	+	0.496194i
$940$	147.163	−	9.70121i	0.156557	−	0.0103204i
$941$	−289.764	+	243.140i	−0.307931	+	0.258385i	−0.783636	−	0.621220i	$-0.786637\pi$
$941$	−289.764	+	243.140i	−0.307931	+	0.258385i	0.475705	+	0.879605i	$0.342193\pi$
$942$	379.034	−	1818.76i	0.402371	−	1.93075i
$943$	1116.14	−	406.240i	1.18360	−	0.430796i
$944$	−594.985	−	131.435i	−0.630281	−	0.139232i
$945$	−19.6661	−	29.1271i	−0.0208107	−	0.0308223i
$946$	−700.322	−	38.1024i	−0.740298	−	0.0402773i
$947$	−544.452	+	198.164i	−0.574922	+	0.209255i	−0.613085	−	0.790017i	$-0.710072\pi$
$947$	−544.452	+	198.164i	−0.574922	+	0.209255i	0.0381627	+	0.999272i	$0.487849\pi$
$948$	383.019	−	103.445i	0.404028	−	0.109119i
$949$	−1015.06	−	1209.70i	−1.06961	−	1.27471i
$950$	−50.1067	−	414.923i	−0.0527439	−	0.436761i
$951$	−212.541	−	1059.60i	−0.223492	−	1.11420i
$952$	79.2282	+	92.2502i	0.0832229	+	0.0969014i
$953$	−1409.27	−	813.643i	−1.47877	−	0.853770i	−0.479061	−	0.877781i	$-0.659023\pi$
$953$	−1409.27	−	813.643i	−1.47877	−	0.853770i	−0.999712	+	0.0240114i	$0.992356\pi$
$954$	−255.461	+	144.946i	−0.267779	+	0.151935i
$955$	224.047	−	129.354i	0.234604	−	0.135449i
$956$	782.377	+	227.723i	0.818386	+	0.238204i
$957$	665.465	−	1217.62i	0.695366	−	1.27233i
$958$	364.076	+	155.398i	0.380037	+	0.162211i
$959$	−2.92590	+	8.03883i	−0.00305099	+	0.00838251i
$960$	138.039	+	43.1085i	0.143791	+	0.0449047i
$961$	163.405	−	926.715i	0.170036	−	0.964324i
$962$	−806.471	+	408.895i	−0.838328	+	0.425046i
$963$	202.513	+	899.767i	0.210294	+	0.934337i
$964$	309.113	−	421.910i	0.320657	−	0.437666i
$965$	196.772	+	165.111i	0.203909	+	0.171100i
$966$	240.058	+	95.8806i	0.248507	+	0.0992553i
$967$	−225.693	−	1279.97i	−0.233395	−	1.32365i	−0.845968	−	0.533233i	$-0.820977\pi$
$967$	−225.693	−	1279.97i	−0.233395	−	1.32365i	0.612573	−	0.790414i	$-0.290134\pi$
$968$	289.048	+	487.639i	0.298603	+	0.503759i
$969$	176.233	+	140.977i	0.181871	+	0.145487i
$970$	37.6588	+	124.061i	0.0388236	+	0.127897i
$971$	969.741			0.998704			0.499352	−	0.866399i	$-0.333572\pi$
$971$	969.741			0.998704			0.499352	+	0.866399i	$0.333572\pi$
$972$	−910.550	+	340.122i	−0.936780	+	0.349920i
$973$		−	238.645i		−	0.245267i
$974$	143.937	+	474.174i	0.147779	+	0.486832i
$975$	−688.000	+	860.060i	−0.705641	+	0.882113i
$976$	450.983	+	864.740i	0.462072	+	0.886004i
$977$	−1222.68	+	215.591i	−1.25146	+	0.220666i	−0.759821	−	0.650132i	$-0.774714\pi$
$977$	−1222.68	+	215.591i	−1.25146	+	0.220666i	−0.491640	+	0.870799i	$0.663602\pi$
$978$	585.565	+	233.878i	0.598737	+	0.239139i
$979$	−50.7809	+	60.5183i	−0.0518701	+	0.0618164i
$980$	−81.9305	+	111.827i	−0.0836025	+	0.114110i
$981$	−636.040	+	143.155i	−0.648359	+	0.145928i
$982$	147.434	−	74.7514i	0.150136	−	0.0761216i
$983$	−357.572	−	63.0495i	−0.363755	−	0.0641399i	−0.0112166	−	0.999937i	$-0.503570\pi$
$983$	−357.572	−	63.0495i	−0.363755	−	0.0641399i	−0.352539	+	0.935797i	$0.614682\pi$
$984$	−1132.34	−	159.149i	−1.15075	−	0.161737i
$985$	246.530	+	89.7296i	0.250284	+	0.0910960i
$986$	−540.268	−	230.602i	−0.547939	−	0.233876i
$987$	−222.703	−	121.713i	−0.225636	−	0.123316i
$988$	143.664	−	493.580i	0.145409	−	0.499575i
$989$	315.579	+	546.599i	0.319089	+	0.552678i
$990$	−163.331	+	92.6721i	−0.164980	+	0.0936082i
$991$	528.116	−	914.723i	0.532912	−	0.923030i	−0.466349	−	0.884601i	$-0.654431\pi$
$991$	528.116	−	914.723i	0.532912	−	0.923030i	0.999261	−	0.0384298i	$-0.0122356\pi$
$992$	1151.12	−	789.041i	1.16040	−	0.795404i
$993$	−855.524	+	171.606i	−0.861555	+	0.172815i
$994$	17.3378	+	143.570i	0.0174424	+	0.144437i
$995$	−160.209	+	134.432i	−0.161014	+	0.135107i
$996$	−873.735	+	235.976i	−0.877244	+	0.236924i
$997$	302.603	+	831.394i	0.303513	+	0.833896i	0.993883	+	0.110439i	$0.0352257\pi$
$997$	302.603	+	831.394i	0.303513	+	0.833896i	−0.690370	+	0.723457i	$0.742552\pi$
$998$	−1629.58	−	88.6607i	−1.63285	−	0.0888383i
$999$	57.0432	+	810.368i	0.0571003	+	0.811179i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	216.3.x.a.101.40	yes	420
8.5	even	2	inner	216.3.x.a.101.45	yes	420
27.23	odd	18	inner	216.3.x.a.77.45	yes	420
216.77	odd	18	inner	216.3.x.a.77.40	✓	420

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
216.3.x.a.77.40	✓	420	216.77	odd	18	inner
216.3.x.a.77.45	yes	420	27.23	odd	18	inner
216.3.x.a.101.40	yes	420	1.1	even	1	trivial
216.3.x.a.101.45	yes	420	8.5	even	2	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:	\( N \)	\(=\)	\( 216 = 2^{3} \cdot 3^{3} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	216.x (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.580930 + 1.91377i) q^{2} +(-2.34267 - 1.87400i) q^{3} +(-3.32504 + 2.22353i) q^{4} +(0.130791 + 0.741755i) q^{5} +(2.22549 - 5.57200i) q^{6} +(-1.32385 - 1.11085i) q^{7} +(-6.18695 - 5.07165i) q^{8} +(1.97622 + 8.78035i) q^{9} +O(q^{10})\)	\(q+(0.580930 + 1.91377i) q^{2} +(-2.34267 - 1.87400i) q^{3} +(-3.32504 + 2.22353i) q^{4} +(0.130791 + 0.741755i) q^{5} +(2.22549 - 5.57200i) q^{6} +(-1.32385 - 1.11085i) q^{7} +(-6.18695 - 5.07165i) q^{8} +(1.97622 + 8.78035i) q^{9} +(-1.34357 + 0.681212i) q^{10} +(2.40525 - 13.6409i) q^{11} +(11.9564 + 1.02214i) q^{12} +(5.13923 - 14.1199i) q^{13} +(1.35684 - 3.17888i) q^{14} +(1.08365 - 1.98279i) q^{15} +(6.11181 - 14.7867i) q^{16} +(7.61724 - 4.39782i) q^{17} +(-15.6555 + 8.88279i) q^{18} +(-7.40697 - 4.27641i) q^{19} +(-2.08420 - 2.17555i) q^{20} +(1.01963 + 5.08325i) q^{21} +(27.5028 - 3.32128i) q^{22} +(-16.0246 - 19.0974i) q^{23} +(4.98968 + 23.4756i) q^{24} +(22.9592 - 8.35647i) q^{25} +(30.0078 + 1.63263i) q^{26} +(11.8248 - 24.2729i) q^{27} +(6.87187 + 0.749975i) q^{28} +(-31.3791 + 11.4211i) q^{29} +(4.42413 + 0.921997i) q^{30} +(33.4088 - 28.0333i) q^{31} +(31.8488 + 3.10658i) q^{32} +(-31.1978 + 27.4486i) q^{33} +(12.8415 + 12.0228i) q^{34} +(0.650826 - 1.12726i) q^{35} +(-26.0944 - 24.8009i) q^{36} +(-26.0569 + 15.0439i) q^{37} +(3.88115 - 16.6595i) q^{38} +(-38.5003 + 23.4474i) q^{39} +(2.95272 - 5.25253i) q^{40} +(-16.2953 + 44.7711i) q^{41} +(-9.13585 + 4.90434i) q^{42} +(-24.9328 - 4.39632i) q^{43} +(22.3333 + 50.7046i) q^{44} +(-6.25440 + 2.61426i) q^{45} +(27.2388 - 41.7616i) q^{46} +(-31.4658 + 37.4995i) q^{47} +(-42.0282 + 23.1868i) q^{48} +(-7.99015 - 45.3144i) q^{49} +(29.3301 + 39.0842i) q^{50} +(-26.0862 - 3.97210i) q^{51} +(14.3079 + 58.3765i) q^{52} +16.3176 q^{53} +(53.3222 + 8.52910i) q^{54} +10.4328 q^{55} +(2.55679 + 13.5869i) q^{56} +(9.33807 + 23.8989i) q^{57} +(-40.0863 - 53.4176i) q^{58} +(-6.61306 - 37.5045i) q^{59} +(0.805618 + 9.00240i) q^{60} +(-39.1809 + 46.6940i) q^{61} +(73.0574 + 47.6514i) q^{62} +(7.13739 - 13.8192i) q^{63} +(12.5566 + 62.7561i) q^{64} +(11.1457 + 1.96528i) q^{65} +(-70.6541 - 43.7597i) q^{66} +(40.7802 - 112.043i) q^{67} +(-15.5490 + 31.5601i) q^{68} +(1.75180 + 74.7690i) q^{69} +(2.53541 + 0.590672i) q^{70} +(-36.2346 + 20.9200i) q^{71} +(32.3042 - 64.3463i) q^{72} +(52.5469 - 91.0139i) q^{73} +(-43.9279 - 41.1274i) q^{74} +(-69.4460 - 23.4492i) q^{75} +(34.1372 - 2.25038i) q^{76} +(-18.3371 + 15.3867i) q^{77} +(-67.2389 - 60.0595i) q^{78} +(31.0680 - 11.3078i) q^{79} +(11.7675 + 2.59949i) q^{80} +(-73.1891 + 34.7037i) q^{81} +(-95.1481 - 5.17672i) q^{82} +(-70.8716 + 25.7952i) q^{83} +(-14.6931 - 14.6349i) q^{84} +(4.25837 + 5.07493i) q^{85} +(-6.07063 - 50.2695i) q^{86} +(94.9140 + 32.0488i) q^{87} +(-84.0630 + 72.1967i) q^{88} +(-4.93938 - 2.85175i) q^{89} +(-8.63646 - 10.4508i) q^{90} +(-22.4886 + 12.9838i) q^{91} +(95.7460 + 27.8683i) q^{92} +(-130.800 + 3.06459i) q^{93} +(-90.0450 - 38.4338i) q^{94} +(2.20328 - 6.05347i) q^{95} +(-68.7896 - 66.9626i) q^{96} +(14.9453 - 84.7590i) q^{97} +(82.0797 - 41.6158i) q^{98} +(124.525 - 5.83833i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 420 q - 6 q^{2} - 6 q^{4} - 6 q^{6} - 12 q^{7} - 9 q^{8} - 12 q^{9}+O(q^{10}) \) 420 * q - 6 * q^2 - 6 * q^4 - 6 * q^6 - 12 * q^7 - 9 * q^8 - 12 * q^9	\( 420 q - 6 q^{2} - 6 q^{4} - 6 q^{6} - 12 q^{7} - 9 q^{8} - 12 q^{9} - 3 q^{10} - 51 q^{12} + 39 q^{14} - 12 q^{15} - 6 q^{16} - 18 q^{17} - 27 q^{18} + 57 q^{20} - 6 q^{22} - 12 q^{23} + 126 q^{24} - 12 q^{25} - 12 q^{28} + 87 q^{30} - 12 q^{31} + 84 q^{32} - 36 q^{33} - 18 q^{34} - 36 q^{36} - 108 q^{38} - 12 q^{39} + 69 q^{40} - 84 q^{41} + 114 q^{42} - 657 q^{44} - 3 q^{46} - 12 q^{47} - 453 q^{48} - 12 q^{49} + 153 q^{50} + 21 q^{52} - 90 q^{54} - 24 q^{55} + 99 q^{56} - 66 q^{57} + 129 q^{58} + 210 q^{60} - 900 q^{62} + 468 q^{63} - 3 q^{64} - 12 q^{65} - 855 q^{66} + 279 q^{68} + 153 q^{70} - 18 q^{71} - 156 q^{72} - 6 q^{73} + 423 q^{74} - 54 q^{76} + 642 q^{78} - 12 q^{79} - 12 q^{81} - 12 q^{82} + 192 q^{84} + 606 q^{86} - 588 q^{87} + 186 q^{88} - 18 q^{89} - 534 q^{90} - 735 q^{92} + 345 q^{94} - 162 q^{95} - 486 q^{96} - 12 q^{97} - 1548 q^{98}+O(q^{100}) \) 420 * q - 6 * q^2 - 6 * q^4 - 6 * q^6 - 12 * q^7 - 9 * q^8 - 12 * q^9 - 3 * q^10 - 51 * q^12 + 39 * q^14 - 12 * q^15 - 6 * q^16 - 18 * q^17 - 27 * q^18 + 57 * q^20 - 6 * q^22 - 12 * q^23 + 126 * q^24 - 12 * q^25 - 12 * q^28 + 87 * q^30 - 12 * q^31 + 84 * q^32 - 36 * q^33 - 18 * q^34 - 36 * q^36 - 108 * q^38 - 12 * q^39 + 69 * q^40 - 84 * q^41 + 114 * q^42 - 657 * q^44 - 3 * q^46 - 12 * q^47 - 453 * q^48 - 12 * q^49 + 153 * q^50 + 21 * q^52 - 90 * q^54 - 24 * q^55 + 99 * q^56 - 66 * q^57 + 129 * q^58 + 210 * q^60 - 900 * q^62 + 468 * q^63 - 3 * q^64 - 12 * q^65 - 855 * q^66 + 279 * q^68 + 153 * q^70 - 18 * q^71 - 156 * q^72 - 6 * q^73 + 423 * q^74 - 54 * q^76 + 642 * q^78 - 12 * q^79 - 12 * q^81 - 12 * q^82 + 192 * q^84 + 606 * q^86 - 588 * q^87 + 186 * q^88 - 18 * q^89 - 534 * q^90 - 735 * q^92 + 345 * q^94 - 162 * q^95 - 486 * q^96 - 12 * q^97 - 1548 * q^98

Introduction

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