LMFDB - Embedded newform 150.2.l.a.53.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [150,2,Mod(17,150)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(150, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 13]))

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

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

chi := DirichletCharacter("150.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 150 = 2 \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	150.l (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:	$1.19775603032$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			53.6
Character	$\chi$	$=$	150.53
Dual form			150.2.l.a.17.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.891007 - 0.453990i) q^{2} +(-1.69961 + 0.333634i) q^{3} +(0.587785 - 0.809017i) q^{4} +(1.62298 + 1.53816i) q^{5} +(-1.36290 + 1.06888i) q^{6} +(2.58285 - 2.58285i) q^{7} +(0.156434 - 0.987688i) q^{8} +(2.77738 - 1.13410i) q^{9} +O(q^{10})$	\(q+(0.891007 - 0.453990i) q^{2} +(-1.69961 + 0.333634i) q^{3} +(0.587785 - 0.809017i) q^{4} +(1.62298 + 1.53816i) q^{5} +(-1.36290 + 1.06888i) q^{6} +(2.58285 - 2.58285i) q^{7} +(0.156434 - 0.987688i) q^{8} +(2.77738 - 1.13410i) q^{9} +(2.14440 + 0.633691i) q^{10} +(1.45719 + 0.473470i) q^{11} +(-0.729092 + 1.57112i) q^{12} +(-2.28489 + 4.48435i) q^{13} +(1.12875 - 3.47393i) q^{14} +(-3.27162 - 2.07279i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(-5.09363 - 0.806752i) q^{17} +(1.95979 - 2.27139i) q^{18} +(-1.27450 - 1.75421i) q^{19} +(2.19836 - 0.408913i) q^{20} +(-3.52813 + 5.25158i) q^{21} +(1.51332 - 0.239686i) q^{22} +(-2.88760 - 5.66723i) q^{23} +(0.0636485 + 1.73088i) q^{24} +(0.268140 + 4.99280i) q^{25} +5.03290i q^{26} +(-4.34209 + 2.85416i) q^{27} +(-0.571409 - 3.60774i) q^{28} +(5.64831 + 4.10373i) q^{29} +(-3.85607 - 0.361585i) q^{30} +(-5.95310 + 4.32518i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-2.63463 - 0.318547i) q^{33} +(-4.90472 + 1.59364i) q^{34} +(8.16476 - 0.219087i) q^{35} +(0.714995 - 2.91355i) q^{36} +(-6.84089 - 3.48561i) q^{37} +(-1.93198 - 0.984395i) q^{38} +(2.38730 - 8.38398i) q^{39} +(1.77311 - 1.36238i) q^{40} +(2.85939 - 0.929072i) q^{41} +(-0.759414 + 6.28093i) q^{42} +(3.24693 + 3.24693i) q^{43} +(1.23956 - 0.900593i) q^{44} +(6.25205 + 2.43142i) q^{45} +(-5.14573 - 3.73859i) q^{46} +(-0.446195 - 2.81716i) q^{47} +(0.842515 + 1.51333i) q^{48} -6.34226i q^{49} +(2.50560 + 4.32689i) q^{50} +(8.92637 - 0.328243i) q^{51} +(2.28489 + 4.48435i) q^{52} +(-1.02055 + 0.161639i) q^{53} +(-2.57307 + 4.51434i) q^{54} +(1.63672 + 3.00982i) q^{55} +(-2.14701 - 2.95510i) q^{56} +(2.75143 + 2.55625i) q^{57} +(6.89573 + 1.09218i) q^{58} +(-2.10801 - 6.48779i) q^{59} +(-3.59994 + 1.42844i) q^{60} +(1.78395 - 5.49044i) q^{61} +(-3.34066 + 6.55641i) q^{62} +(4.24434 - 10.1028i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(-10.6060 + 3.76349i) q^{65} +(-2.49209 + 0.912268i) q^{66} +(-0.527466 + 3.33029i) q^{67} +(-3.64664 + 3.64664i) q^{68} +(6.79858 + 8.66870i) q^{69} +(7.17539 - 3.90193i) q^{70} +(-2.18090 + 3.00175i) q^{71} +(-0.685659 - 2.92059i) q^{72} +(-0.531390 + 0.270757i) q^{73} -7.67771 q^{74} +(-2.12150 - 8.39638i) q^{75} -2.16832 q^{76} +(4.98661 - 2.54081i) q^{77} +(-1.67915 - 8.55399i) q^{78} +(-0.782199 + 1.07660i) q^{79} +(0.961346 - 2.01886i) q^{80} +(6.42764 - 6.29964i) q^{81} +(2.12595 - 2.12595i) q^{82} +(-0.432953 + 2.73356i) q^{83} +(2.17484 + 5.94112i) q^{84} +(-7.02596 - 9.14415i) q^{85} +(4.36710 + 1.41896i) q^{86} +(-10.9691 - 5.09030i) q^{87} +(0.695596 - 1.36518i) q^{88} +(-1.98939 + 6.12272i) q^{89} +(6.67446 - 0.671961i) q^{90} +(5.68088 + 17.4839i) q^{91} +(-6.28217 - 0.994998i) q^{92} +(8.67494 - 9.33729i) q^{93} +(-1.67653 - 2.30754i) q^{94} +(0.629747 - 4.80743i) q^{95} +(1.43772 + 0.965894i) q^{96} +(13.5156 - 2.14067i) q^{97} +(-2.87933 - 5.65100i) q^{98} +(4.58413 - 0.337594i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 4 q^{3} + 4 q^{7}+O(q^{10}) $ 80 * q + 4 * q^3 + 4 * q^7	$ 80 q + 4 q^{3} + 4 q^{7} - 4 q^{10} - 4 q^{12} - 8 q^{15} + 20 q^{16} - 8 q^{18} - 40 q^{19} - 36 q^{22} - 104 q^{25} + 4 q^{27} - 16 q^{28} + 12 q^{30} + 4 q^{33} - 40 q^{34} - 24 q^{37} - 40 q^{39} - 8 q^{40} - 4 q^{42} - 24 q^{43} - 72 q^{45} - 4 q^{48} - 12 q^{55} - 64 q^{57} + 20 q^{58} + 24 q^{60} + 64 q^{63} + 96 q^{67} + 140 q^{69} + 76 q^{70} + 8 q^{72} + 100 q^{73} + 132 q^{75} + 100 q^{78} + 80 q^{79} - 40 q^{81} + 96 q^{82} + 60 q^{84} + 32 q^{85} + 80 q^{87} + 4 q^{88} + 52 q^{90} + 12 q^{93} - 32 q^{97}+O(q^{100}) $ 80 * q + 4 * q^3 + 4 * q^7 - 4 * q^10 - 4 * q^12 - 8 * q^15 + 20 * q^16 - 8 * q^18 - 40 * q^19 - 36 * q^22 - 104 * q^25 + 4 * q^27 - 16 * q^28 + 12 * q^30 + 4 * q^33 - 40 * q^34 - 24 * q^37 - 40 * q^39 - 8 * q^40 - 4 * q^42 - 24 * q^43 - 72 * q^45 - 4 * q^48 - 12 * q^55 - 64 * q^57 + 20 * q^58 + 24 * q^60 + 64 * q^63 + 96 * q^67 + 140 * q^69 + 76 * q^70 + 8 * q^72 + 100 * q^73 + 132 * q^75 + 100 * q^78 + 80 * q^79 - 40 * q^81 + 96 * q^82 + 60 * q^84 + 32 * q^85 + 80 * q^87 + 4 * q^88 + 52 * q^90 + 12 * q^93 - 32 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/150\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$-1$	$e\left(\frac{7}{20}\right)$

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 $

$2$	0.891007	−	0.453990i	0.630037	−	0.321020i
$2$	0.891007	−	0.453990i	0.630037	−	0.321020i
$3$	−1.69961	+	0.333634i	−0.981273	+	0.192624i
$3$	−1.69961	+	0.333634i	−0.981273	+	0.192624i
$4$	0.587785	−	0.809017i	0.293893	−	0.404508i
$5$	1.62298	+	1.53816i	0.725820	+	0.687885i
$5$	1.62298	+	1.53816i	0.725820	+	0.687885i
$6$	−1.36290	+	1.06888i	−0.556402	+	0.436368i
$7$	2.58285	−	2.58285i	0.976227	−	0.976227i	−0.0234972	−	0.999724i	$-0.507480\pi$
$7$	2.58285	−	2.58285i	0.976227	−	0.976227i	0.999724	+	0.0234972i	$0.00748007\pi$
$8$	0.156434	−	0.987688i	0.0553079	−	0.349201i
$9$	2.77738	−	1.13410i	0.925792	−	0.378033i
$10$	2.14440	+	0.633691i	0.678118	+	0.200391i
$11$	1.45719	+	0.473470i	0.439360	+	0.142757i	0.520340	−	0.853959i	$-0.325805\pi$
$11$	1.45719	+	0.473470i	0.439360	+	0.142757i	−0.0809806	+	0.996716i	$0.525805\pi$
$12$	−0.729092	+	1.57112i	−0.210471	+	0.453544i
$13$	−2.28489	+	4.48435i	−0.633714	+	1.24373i	0.321245	+	0.946996i	$0.395899\pi$
$13$	−2.28489	+	4.48435i	−0.633714	+	1.24373i	−0.954959	+	0.296738i	$0.904101\pi$
$14$	1.12875	−	3.47393i	0.301671	−	0.928447i
$15$	−3.27162	−	2.07279i	−0.844730	−	0.535193i
$16$	−0.309017	−	0.951057i	−0.0772542	−	0.237764i
$17$	−5.09363	−	0.806752i	−1.23539	−	0.195666i	−0.495626	−	0.868536i	$-0.665061\pi$
$17$	−5.09363	−	0.806752i	−1.23539	−	0.195666i	−0.739761	+	0.672870i	$0.765061\pi$
$18$	1.95979	−	2.27139i	0.461927	−	0.535372i
$19$	−1.27450	−	1.75421i	−0.292391	−	0.402442i	0.637398	−	0.770535i	$-0.280011\pi$
$19$	−1.27450	−	1.75421i	−0.292391	−	0.402442i	−0.929789	+	0.368093i	$0.880011\pi$
$20$	2.19836	−	0.408913i	0.491568	−	0.0914358i
$21$	−3.52813	+	5.25158i	−0.769900	+	1.14599i
$22$	1.51332	−	0.239686i	0.322640	−	0.0511012i
$23$	−2.88760	−	5.66723i	−0.602105	−	1.18170i	−0.967978	−	0.251034i	$-0.919230\pi$
$23$	−2.88760	−	5.66723i	−0.602105	−	1.18170i	0.365873	−	0.930665i	$-0.380770\pi$
$24$	0.0636485	+	1.73088i	0.0129922	+	0.353315i
$25$	0.268140	+	4.99280i	0.0536279	+	0.998561i
$26$			5.03290i			0.987033i
$27$	−4.34209	+	2.85416i	−0.835636	+	0.549283i
$28$	−0.571409	−	3.60774i	−0.107986	−	0.681798i
$29$	5.64831	+	4.10373i	1.04886	+	0.762044i	0.971996	−	0.234997i	$-0.0755080\pi$
$29$	5.64831	+	4.10373i	1.04886	+	0.762044i	0.0768679	+	0.997041i	$0.475508\pi$
$30$	−3.85607	−	0.361585i	−0.704018	−	0.0660161i
$31$	−5.95310	+	4.32518i	−1.06921	+	0.776825i	−0.975770	−	0.218800i	$-0.929786\pi$
$31$	−5.95310	+	4.32518i	−1.06921	+	0.776825i	−0.0934378	+	0.995625i	$0.529786\pi$
$32$	−0.707107	−	0.707107i	−0.125000	−	0.125000i
$33$	−2.63463	−	0.318547i	−0.458630	−	0.0554520i
$34$	−4.90472	+	1.59364i	−0.841152	+	0.273307i
$35$	8.16476	−	0.219087i	1.38010	−	0.0370325i
$36$	0.714995	−	2.91355i	0.119166	−	0.485592i
$37$	−6.84089	−	3.48561i	−1.12464	−	0.573031i	−0.210158	−	0.977667i	$-0.567398\pi$
$37$	−6.84089	−	3.48561i	−1.12464	−	0.573031i	−0.914477	+	0.404637i	$0.867398\pi$
$38$	−1.93198	−	0.984395i	−0.313409	−	0.159690i
$39$	2.38730	−	8.38398i	0.382274	−	1.34251i
$40$	1.77311	−	1.36238i	0.280353	−	0.215411i
$41$	2.85939	−	0.929072i	0.446562	−	0.145097i	−0.0770993	−	0.997023i	$-0.524566\pi$
$41$	2.85939	−	0.929072i	0.446562	−	0.145097i	0.523661	+	0.851927i	$0.324566\pi$
$42$	−0.759414	+	6.28093i	−0.117180	+	0.969168i
$43$	3.24693	+	3.24693i	0.495151	+	0.495151i	0.909925	−	0.414773i	$-0.136139\pi$
$43$	3.24693	+	3.24693i	0.495151	+	0.495151i	−0.414773	+	0.909925i	$0.636139\pi$
$44$	1.23956	−	0.900593i	0.186871	−	0.135770i
$45$	6.25205	+	2.43142i	0.932001	+	0.362455i
$46$	−5.14573	−	3.73859i	−0.758697	−	0.551226i
$47$	−0.446195	−	2.81716i	−0.0650842	−	0.410925i	−0.998624	−	0.0524505i	$-0.983297\pi$
$47$	−0.446195	−	2.81716i	−0.0650842	−	0.410925i	0.933539	−	0.358475i	$-0.116703\pi$
$48$	0.842515	+	1.51333i	0.121607	+	0.218430i
$49$		−	6.34226i		−	0.906037i
$50$	2.50560	+	4.32689i	0.354345	+	0.611914i
$51$	8.92637	−	0.328243i	1.24994	−	0.0459632i
$52$	2.28489	+	4.48435i	0.316857	+	0.621867i
$53$	−1.02055	+	0.161639i	−0.140183	+	0.0222028i	−0.226131	−	0.974097i	$-0.572608\pi$
$53$	−1.02055	+	0.161639i	−0.140183	+	0.0222028i	0.0859487	+	0.996300i	$0.472608\pi$
$54$	−2.57307	+	4.51434i	−0.350151	+	0.614324i
$55$	1.63672	+	3.00982i	0.220696	+	0.405844i
$56$	−2.14701	−	2.95510i	−0.286906	−	0.394892i
$57$	2.75143	+	2.55625i	0.364436	+	0.338584i
$58$	6.89573	+	1.09218i	0.905454	+	0.143410i
$59$	−2.10801	−	6.48779i	−0.274439	−	0.844638i	−0.989367	−	0.145439i	$-0.953540\pi$
$59$	−2.10801	−	6.48779i	−0.274439	−	0.844638i	0.714928	−	0.699198i	$-0.246460\pi$
$60$	−3.59994	+	1.42844i	−0.464750	+	0.184411i
$61$	1.78395	−	5.49044i	0.228412	−	0.702979i	−0.769516	−	0.638628i	$-0.779502\pi$
$61$	1.78395	−	5.49044i	0.228412	−	0.702979i	0.997927	−	0.0643507i	$-0.0204976\pi$
$62$	−3.34066	+	6.55641i	−0.424264	+	0.832665i
$63$	4.24434	−	10.1028i	0.534737	−	1.27283i
$64$	−0.951057	−	0.309017i	−0.118882	−	0.0386271i
$65$	−10.6060	+	3.76349i	−1.31551	+	0.466804i
$66$	−2.49209	+	0.912268i	−0.306755	+	0.112292i
$67$	−0.527466	+	3.33029i	−0.0644402	+	0.406859i	0.934291	+	0.356510i	$0.116033\pi$
$67$	−0.527466	+	3.33029i	−0.0644402	+	0.406859i	−0.998732	+	0.0503493i	$0.983967\pi$
$68$	−3.64664	+	3.64664i	−0.442220	+	0.442220i
$69$	6.79858	+	8.66870i	0.818453	+	1.04359i
$70$	7.17539	−	3.90193i	0.857623	−	0.466370i
$71$	−2.18090	+	3.00175i	−0.258825	+	0.356242i	−0.918578	−	0.395241i	$-0.870661\pi$
$71$	−2.18090	+	3.00175i	−0.258825	+	0.356242i	0.659752	+	0.751483i	$0.270661\pi$
$72$	−0.685659	−	2.92059i	−0.0808057	−	0.344195i
$73$	−0.531390	+	0.270757i	−0.0621945	+	0.0316897i	−0.484811	−	0.874619i	$-0.661112\pi$
$73$	−0.531390	+	0.270757i	−0.0621945	+	0.0316897i	0.422617	+	0.906309i	$0.361112\pi$
$74$	−7.67771			−0.892516
$75$	−2.12150	−	8.39638i	−0.244970	−	0.969531i
$76$	−2.16832			−0.248723
$77$	4.98661	−	2.54081i	0.568277	−	0.289552i
$78$	−1.67915	−	8.55399i	−0.190126	−	0.968549i
$79$	−0.782199	+	1.07660i	−0.0880042	+	0.121127i	−0.850749	−	0.525572i	$-0.823851\pi$
$79$	−0.782199	+	1.07660i	−0.0880042	+	0.121127i	0.762745	+	0.646700i	$0.223851\pi$
$80$	0.961346	−	2.01886i	0.107482	−	0.225716i
$81$	6.42764	−	6.29964i	0.714182	−	0.699960i
$82$	2.12595	−	2.12595i	0.234771	−	0.234771i
$83$	−0.432953	+	2.73356i	−0.0475228	+	0.300047i	−0.999989	−	0.00459575i	$-0.998537\pi$
$83$	−0.432953	+	2.73356i	−0.0475228	+	0.300047i	0.952467	+	0.304643i	$0.0985371\pi$
$84$	2.17484	+	5.94112i	0.237294	+	0.648229i
$85$	−7.02596	−	9.14415i	−0.762072	−	0.991823i
$86$	4.36710	+	1.41896i	0.470917	+	0.153010i
$87$	−10.9691	−	5.09030i	−1.17601	−	0.545737i
$88$	0.695596	−	1.36518i	0.0741507	−	0.145529i
$89$	−1.98939	+	6.12272i	−0.210875	+	0.649007i	0.788546	+	0.614976i	$0.210834\pi$
$89$	−1.98939	+	6.12272i	−0.210875	+	0.649007i	−0.999421	+	0.0340306i	$0.989166\pi$
$90$	6.67446	−	0.671961i	0.703550	−	0.0708309i
$91$	5.68088	+	17.4839i	0.595518	+	1.83282i
$92$	−6.28217	−	0.994998i	−0.654961	−	0.103736i
$93$	8.67494	−	9.33729i	0.899549	−	0.968232i
$94$	−1.67653	−	2.30754i	−0.172921	−	0.238005i
$95$	0.629747	−	4.80743i	0.0646107	−	0.493232i
$96$	1.43772	+	0.965894i	0.146737	+	0.0985811i
$97$	13.5156	−	2.14067i	1.37230	−	0.217352i	0.573630	−	0.819114i	$-0.305535\pi$
$97$	13.5156	−	2.14067i	1.37230	−	0.217352i	0.798675	+	0.601763i	$0.205535\pi$
$98$	−2.87933	−	5.65100i	−0.290856	−	0.570837i
$99$	4.58413	−	0.337594i	0.460722	−	0.0339295i
$100$	4.19687	+	2.71777i	0.419687	+	0.271777i
$101$			0.146560i			0.0145833i	0.999973	+	0.00729163i	$0.00232102\pi$
$101$			0.146560i			0.0145833i	−0.999973	+	0.00729163i	$0.997679\pi$
$102$	7.80443	−	4.34495i	0.772754	−	0.430214i
$103$	2.44405	+	15.4311i	0.240819	+	1.52047i	0.750939	+	0.660371i	$0.229601\pi$
$103$	2.44405	+	15.4311i	0.240819	+	1.52047i	−0.510120	+	0.860103i	$0.670399\pi$
$104$	4.07170	+	2.95827i	0.399263	+	0.290082i
$105$	−13.8038	+	3.09641i	−1.34712	+	0.302178i
$106$	−0.835930	+	0.607339i	−0.0811927	+	0.0589900i
$107$	1.77141	+	1.77141i	0.171249	+	0.171249i	0.787528	−	0.616279i	$-0.211361\pi$
$107$	1.77141	+	1.77141i	0.171249	+	0.171249i	−0.616279	+	0.787528i	$0.711361\pi$
$108$	−0.243156	+	5.19046i	−0.0233977	+	0.499452i
$109$	7.65945	−	2.48870i	0.733642	−	0.238375i	0.0817142	−	0.996656i	$-0.473961\pi$
$109$	7.65945	−	2.48870i	0.733642	−	0.238375i	0.651928	+	0.758281i	$0.273961\pi$
$110$	2.82476	+	1.93872i	0.269330	+	0.184849i
$111$	12.7898	+	3.64183i	1.21395	+	0.345668i
$112$	−3.25458	−	1.65829i	−0.307529	−	0.156694i
$113$	9.66667	+	4.92541i	0.909364	+	0.463344i	0.845112	−	0.534590i	$-0.179534\pi$
$113$	9.66667	+	4.92541i	0.909364	+	0.463344i	0.0642521	+	0.997934i	$0.479534\pi$
$114$	3.61206	+	1.02852i	0.338300	+	0.0963293i
$115$	4.03057	−	13.6394i	0.375853	−	1.27188i
$116$	6.63998	−	2.15746i	0.616507	−	0.200315i
$117$	−1.26030	+	15.0460i	−0.116515	+	1.39100i
$118$	−4.82364	−	4.82364i	−0.444052	−	0.444052i
$119$	−15.2398	+	11.0724i	−1.39703	+	1.01500i
$120$	−2.55907	+	2.90709i	−0.233610	+	0.265380i
$121$	−6.99996	−	5.08577i	−0.636360	−	0.462342i
$122$	−0.903094	−	5.70191i	−0.0817623	−	0.516227i
$123$	−4.54989	+	2.53305i	−0.410250	+	0.228398i
$124$			7.35843i			0.660807i
$125$	−7.24454	+	8.51567i	−0.647971	+	0.761665i
$126$	−0.804822	−	10.9285i	−0.0716992	−	0.973590i
$127$	−8.38871	−	16.4638i	−0.744378	−	1.46092i	−0.882403	−	0.470495i	$-0.844075\pi$
$127$	−8.38871	−	16.4638i	−0.744378	−	1.46092i	0.138025	−	0.990429i	$-0.455925\pi$
$128$	−0.987688	+	0.156434i	−0.0873001	+	0.0138270i
$129$	−6.60181	−	4.43523i	−0.581257	−	0.390501i
$130$	−7.74140	+	8.16831i	−0.678965	+	0.716408i
$131$	−7.79711	−	10.7318i	−0.681236	−	0.937641i	0.318712	−	0.947852i	$-0.396750\pi$
$131$	−7.79711	−	10.7318i	−0.681236	−	0.937641i	−0.999948	+	0.0102104i	$0.996750\pi$
$132$	−1.80631	+	1.94422i	−0.157219	+	0.169223i
$133$	−7.82271	−	1.23900i	−0.678315	−	0.107435i
$134$	1.04194	+	3.20677i	0.0900102	+	0.277023i
$135$	−11.4373	−	2.04658i	−0.984365	−	0.176141i
$136$	−1.59364	+	4.90472i	−0.136653	+	0.420576i
$137$	4.43133	−	8.69698i	0.378594	−	0.743033i	−0.620560	−	0.784159i	$-0.713095\pi$
$137$	4.43133	−	8.69698i	0.378594	−	0.743033i	0.999154	+	0.0411262i	$0.0130946\pi$
$138$	9.99308	+	4.63737i	0.850668	+	0.394760i
$139$	−4.61980	−	1.50106i	−0.391846	−	0.127319i	0.106466	−	0.994316i	$-0.466047\pi$
$139$	−4.61980	−	1.50106i	−0.391846	−	0.127319i	−0.498312	+	0.866998i	$0.666047\pi$
$140$	4.62188	−	6.73421i	0.390620	−	0.569144i
$141$	1.69826	+	4.63922i	0.143019	+	0.390693i
$142$	−0.580430	+	3.66469i	−0.0487086	+	0.307534i
$143$	−5.45272	+	5.45272i	−0.455980	+	0.455980i
$144$	−1.93685	−	2.29099i	−0.161404	−	0.190915i
$145$	2.85491	+	15.3483i	0.237087	+	1.27460i
$146$	−0.350551	+	0.482492i	−0.0290118	+	0.0399313i
$147$	2.11600	+	10.7794i	0.174524	+	0.889070i
$148$	−6.84089	+	3.48561i	−0.562318	+	0.286515i
$149$	6.55688			0.537160			0.268580	−	0.963257i	$-0.413446\pi$
$149$	6.55688			0.537160			0.268580	+	0.963257i	$0.413446\pi$
$150$	−5.70215	−	6.51809i	−0.465579	−	0.532200i
$151$	1.06618			0.0867647			0.0433824	−	0.999059i	$-0.486187\pi$
$151$	1.06618			0.0867647			0.0433824	+	0.999059i	$0.486187\pi$
$152$	−1.93198	+	0.984395i	−0.156705	+	0.0798450i
$153$	−15.0619	+	3.53603i	−1.21768	+	0.285871i
$154$	3.28960	−	4.52775i	0.265084	−	0.364856i
$155$	−16.3146	−	2.13712i	−1.31042	−	0.171657i
$156$	−5.37956	−	6.85934i	−0.430710	−	0.549187i
$157$	15.3342	−	15.3342i	1.22380	−	1.22380i	0.257528	−	0.966271i	$-0.417092\pi$
$157$	15.3342	−	15.3342i	1.22380	−	1.22380i	0.966271	−	0.257528i	$-0.0829078\pi$
$158$	−0.208176	+	1.31437i	−0.0165616	+	0.104566i
$159$	1.68061	−	0.615212i	0.133281	−	0.0487895i
$160$	−0.0599794	−	2.23526i	−0.00474179	−	0.176713i
$161$	−22.0958	−	7.17938i	−1.74140	−	0.565814i
$162$	2.86709	−	8.53111i	0.225260	−	0.670267i
$163$	−4.66780	+	9.16108i	−0.365610	+	0.717551i	−0.998386	−	0.0567839i	$-0.981915\pi$
$163$	−4.66780	+	9.16108i	−0.365610	+	0.717551i	0.632776	+	0.774335i	$0.281915\pi$
$164$	0.929072	−	2.85939i	0.0725483	−	0.223281i
$165$	−3.78598	−	4.56947i	−0.294738	−	0.355733i
$166$	0.855246	+	2.63218i	0.0663800	+	0.204297i
$167$	23.8000	+	3.76955i	1.84170	+	0.291697i	0.977419	−	0.211311i	$-0.0677733\pi$
$167$	23.8000	+	3.76955i	1.84170	+	0.291697i	0.864282	+	0.503008i	$0.167773\pi$
$168$	4.63501	+	4.30622i	0.357598	+	0.332232i
$169$	−7.24745	−	9.97526i	−0.557496	−	0.767327i
$170$	−10.4115	−	4.95778i	−0.798528	−	0.380244i
$171$	−5.52922	−	3.42667i	−0.422830	−	0.262044i
$172$	4.53531	−	0.718323i	0.345814	−	0.0547716i
$173$	10.9010	+	21.3945i	0.828791	+	1.62659i	0.778319	+	0.627869i	$0.216072\pi$
$173$	10.9010	+	21.3945i	0.828791	+	1.62659i	0.0504717	+	0.998725i	$0.483928\pi$
$174$	−12.0845	+	0.444374i	−0.916122	+	0.0336879i
$175$	13.5882	+	12.2031i	1.02717	+	0.922469i
$176$		−	1.53218i		−	0.115492i
$177$	5.74735	+	10.3234i	0.431997	+	0.775956i
$178$	1.00709	+	6.35855i	0.0754849	+	0.476593i
$179$	−3.64757	−	2.65012i	−0.272632	−	0.198079i	0.443065	−	0.896489i	$-0.353891\pi$
$179$	−3.64757	−	2.65012i	−0.272632	−	0.198079i	−0.715697	+	0.698410i	$0.753891\pi$
$180$	5.64193	−	3.62886i	0.420524	−	0.270480i
$181$	−11.4405	+	8.31202i	−0.850367	+	0.617828i	−0.925247	−	0.379365i	$-0.876143\pi$
$181$	−11.4405	+	8.31202i	−0.850367	+	0.617828i	0.0748802	+	0.997193i	$0.476143\pi$
$182$	12.9992	+	12.9992i	0.963568	+	0.963568i
$183$	−1.20023	+	9.92681i	−0.0887236	+	0.733811i
$184$	−6.04917	+	1.96550i	−0.445951	+	0.144898i
$185$	−5.74123	−	16.1795i	−0.422103	−	1.18954i
$186$	3.49039	−	12.2579i	0.255928	−	0.898795i
$187$	−7.04042	−	3.58727i	−0.514846	−	0.262327i
$188$	−2.54140	−	1.29491i	−0.185351	−	0.0944409i
$189$	−3.84312	+	18.5869i	−0.279546	+	1.35200i
$190$	−1.62142	−	4.56935i	−0.117630	−	0.331496i
$191$	12.1952	−	3.96247i	0.882416	−	0.286714i	0.167456	−	0.985880i	$-0.446445\pi$
$191$	12.1952	−	3.96247i	0.882416	−	0.286714i	0.714960	+	0.699165i	$0.246445\pi$
$192$	1.71953	+	0.207905i	0.124096	+	0.0150042i
$193$	−9.89879	−	9.89879i	−0.712531	−	0.712531i	0.254533	−	0.967064i	$-0.418078\pi$
$193$	−9.89879	−	9.89879i	−0.712531	−	0.712531i	−0.967064	+	0.254533i	$0.918078\pi$
$194$	11.0707	−	8.04332i	0.794828	−	0.577477i
$195$	16.7704	−	9.93500i	1.20096	−	0.711460i
$196$	−5.13100	−	3.72789i	−0.366500	−	0.266278i
$197$	1.06492	+	6.72363i	0.0758723	+	0.479039i	0.996142	+	0.0877545i	$0.0279691\pi$
$197$	1.06492	+	6.72363i	0.0758723	+	0.479039i	−0.920270	+	0.391284i	$0.872031\pi$
$198$	3.93122	−	2.38195i	0.279380	−	0.169278i
$199$			5.40490i			0.383143i	0.981479	+	0.191572i	$0.0613585\pi$
$199$			5.40490i			0.383143i	−0.981479	+	0.191572i	$0.938642\pi$
$200$	4.97328	+	0.516208i	0.351664	+	0.0365014i
$201$	−0.214610	−	5.83618i	−0.0151374	−	0.411653i
$202$	0.0665368	+	0.130586i	0.00468151	+	0.00918799i
$203$	25.1881	−	3.98940i	1.76786	−	0.280001i
$204$	4.98123	−	7.41452i	0.348756	−	0.519120i
$205$	6.06980	+	2.89033i	0.423933	+	0.201869i
$206$	9.18325	+	12.6397i	0.639827	+	0.880647i
$207$	−14.4471	−	12.4652i	−1.00415	−	0.866391i
$208$	4.97094	+	0.787319i	0.344673	+	0.0545908i
$209$	−1.02663	−	3.15965i	−0.0710137	−	0.218558i
$210$	−10.8936	+	9.02573i	−0.751728	+	0.622835i
$211$	3.95464	−	12.1711i	0.272249	−	0.837896i	−0.717685	−	0.696368i	$-0.754798\pi$
$211$	3.95464	−	12.1711i	0.272249	−	0.837896i	0.989934	−	0.141529i	$-0.0452017\pi$
$212$	−0.469093	+	0.920647i	−0.0322175	+	0.0632303i
$213$	2.70520	−	5.82944i	0.185357	−	0.399427i
$214$	2.38255	+	0.774136i	0.162868	+	0.0529189i
$215$	0.275416	+	10.2640i	0.0187832	+	0.699998i
$216$	2.13977	+	4.73512i	0.145593	+	0.322184i
$217$	−4.20467	+	26.5473i	−0.285432	+	1.80215i
$218$	5.69477	−	5.69477i	0.385698	−	0.385698i
$219$	0.812824	−	0.637472i	0.0549256	−	0.0430763i
$220$	3.39704	+	0.444993i	0.229028	+	0.0300014i
$221$	15.2561	−	20.9983i	1.02624	−	1.41250i
$222$	13.0491	−	2.56155i	0.875802	−	0.171920i
$223$	25.8694	−	13.1811i	1.73234	−	0.882673i	0.759732	−	0.650236i	$-0.225330\pi$
$223$	25.8694	−	13.1811i	1.73234	−	0.882673i	0.972611	−	0.232437i	$-0.0746699\pi$
$224$	−3.65271			−0.244057
$225$	6.40706	+	13.5628i	0.427137	+	0.904187i
$226$	10.8492			0.721675
$227$	−3.52093	+	1.79400i	−0.233692	+	0.119072i	−0.566916	−	0.823776i	$-0.691864\pi$
$227$	−3.52093	+	1.79400i	−0.233692	+	0.119072i	0.333224	+	0.942848i	$0.391864\pi$
$228$	3.68530	−	0.723425i	0.244065	−	0.0479100i
$229$	7.75981	−	10.6805i	0.512783	−	0.705785i	−0.471603	−	0.881811i	$-0.656324\pi$
$229$	7.75981	−	10.6805i	0.512783	−	0.705785i	0.984386	+	0.176026i	$0.0563243\pi$
$230$	−2.60088	−	13.9826i	−0.171497	−	0.921987i
$231$	−7.62762	+	5.98209i	−0.501860	+	0.393593i
$232$	4.93680	−	4.93680i	0.324117	−	0.324117i
$233$	1.37119	−	8.65736i	0.0898297	−	0.567163i	−0.901188	−	0.433429i	$-0.857303\pi$
$233$	1.37119	−	8.65736i	0.0898297	−	0.567163i	0.991017	−	0.133733i	$-0.0426966\pi$
$234$	5.70781	+	13.9783i	0.373131	+	0.913787i
$235$	3.60908	−	5.25852i	0.235430	−	0.343028i
$236$	−6.48779	−	2.10801i	−0.422319	−	0.137220i
$237$	0.970244	−	2.09078i	0.0630241	−	0.135811i
$238$	−8.55203	+	16.7843i	−0.554345	+	1.08796i
$239$	−5.85405	+	18.0169i	−0.378667	+	1.16542i	0.562305	+	0.826930i	$0.309915\pi$
$239$	−5.85405	+	18.0169i	−0.378667	+	1.16542i	−0.940971	+	0.338486i	$0.890085\pi$
$240$	−0.960355	+	3.75203i	−0.0619907	+	0.242192i
$241$	−7.26464	−	22.3583i	−0.467957	−	1.44022i	−0.855226	−	0.518256i	$-0.826582\pi$
$241$	−7.26464	−	22.3583i	−0.467957	−	1.44022i	0.387269	−	0.921967i	$-0.373418\pi$
$242$	−8.54590	−	1.35354i	−0.549351	−	0.0870087i
$243$	−8.82273	+	12.8514i	−0.565978	+	0.824420i
$244$	−3.39328	−	4.67045i	−0.217232	−	0.298995i
$245$	9.75540	−	10.2934i	0.623250	−	0.657620i
$246$	−2.90400	+	4.32257i	−0.185152	+	0.275597i
$247$	10.7786	−	1.70716i	0.685824	−	0.108624i
$248$	3.34066	+	6.55641i	0.212132	+	0.416332i
$249$	−0.176156	−	4.79044i	−0.0111634	−	0.303582i
$250$	−2.58890	+	10.8765i	−0.163736	+	0.687888i
$251$			13.6488i			0.861504i	0.902470	+	0.430752i	$0.141752\pi$
$251$			13.6488i			0.861504i	−0.902470	+	0.430752i	$0.858248\pi$
$252$	−5.67855	−	9.37200i	−0.357715	−	0.590381i
$253$	−1.52452	−	9.62542i	−0.0958455	−	0.605145i
$254$	−14.9488	−	10.8609i	−0.937971	−	0.681476i
$255$	14.9922	+	13.1974i	0.938849	+	0.826455i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	−14.2769	−	14.2769i	−0.890571	−	0.890571i	0.104006	−	0.994577i	$-0.466834\pi$
$257$	−14.2769	−	14.2769i	−0.890571	−	0.890571i	−0.994577	+	0.104006i	$0.966834\pi$
$258$	−7.89581	−	0.954666i	−0.491571	−	0.0594349i
$259$	−26.6718	+	8.66620i	−1.65731	+	0.538492i
$260$	−3.18930	+	10.7925i	−0.197792	+	0.669325i
$261$	20.3415	+	4.99188i	1.25911	+	0.308989i
$262$	−11.8194	−	6.02229i	−0.730205	−	0.372058i
$263$	−14.5181	−	7.39734i	−0.895224	−	0.456139i	−0.0550670	−	0.998483i	$-0.517537\pi$
$263$	−14.5181	−	7.39734i	−0.895224	−	0.456139i	−0.840157	+	0.542343i	$0.817537\pi$
$264$	−0.726772	+	2.55236i	−0.0447297	+	0.157087i
$265$	−1.90495	−	1.30742i	−0.117020	−	0.0803144i
$266$	−7.53258	+	2.44748i	−0.461852	+	0.150065i
$267$	1.33845	−	11.0700i	0.0819118	−	0.677472i
$268$	2.38422	+	2.38422i	0.145640	+	0.145640i
$269$	8.83824	−	6.42136i	0.538877	−	0.391517i	−0.284791	−	0.958590i	$-0.591924\pi$
$269$	8.83824	−	6.42136i	0.538877	−	0.391517i	0.823668	+	0.567073i	$0.191924\pi$
$270$	−11.1198	+	3.36890i	−0.676731	+	0.205025i
$271$	−2.71650	−	1.97365i	−0.165016	−	0.119891i	0.502213	−	0.864744i	$-0.332519\pi$
$271$	−2.71650	−	1.97365i	−0.165016	−	0.119891i	−0.667228	+	0.744853i	$0.732519\pi$
$272$	0.806752	+	5.09363i	0.0489165	+	0.308847i
$273$	−15.4885	−	27.8206i	−0.937409	−	1.68378i
$274$		−	9.76085i		−	0.589674i
$275$	−1.97321	+	7.40242i	−0.118989	+	0.446383i
$276$	11.0092	−	0.404835i	0.662678	−	0.0243682i
$277$	12.7426	+	25.0088i	0.765631	+	1.50263i	0.861788	+	0.507269i	$0.169345\pi$
$277$	12.7426	+	25.0088i	0.765631	+	1.50263i	−0.0961574	+	0.995366i	$0.530655\pi$
$278$	−4.79774	+	0.759888i	−0.287749	+	0.0455750i
$279$	−11.6288	+	18.7640i	−0.696198	+	1.12337i
$280$	1.06086	−	8.09851i	0.0633985	−	0.483979i
$281$	0.417572	+	0.574739i	0.0249103	+	0.0342861i	0.821290	−	0.570510i	$-0.193255\pi$
$281$	0.417572	+	0.574739i	0.0249103	+	0.0342861i	−0.796380	+	0.604796i	$0.793255\pi$
$282$	3.61933	+	3.36258i	0.215528	+	0.200239i
$283$	9.10320	+	1.44181i	0.541129	+	0.0857064i	0.421015	−	0.907054i	$-0.361674\pi$
$283$	9.10320	+	1.44181i	0.541129	+	0.0857064i	0.120114	+	0.992760i	$0.461674\pi$
$284$	1.14657	+	3.52877i	0.0680363	+	0.209394i
$285$	0.533598	+	8.38089i	0.0316076	+	0.496441i
$286$	−2.38293	+	7.33390i	−0.140905	+	0.433662i
$287$	4.98573	−	9.78504i	0.294298	−	0.577593i
$288$	−2.76583	−	1.16197i	−0.162978	−	0.0684699i
$289$	9.12626	+	2.96530i	0.536839	+	0.174430i
$290$	9.51171	+	12.3793i	0.558547	+	0.726938i
$291$	−22.2572	+	8.14759i	−1.30474	+	0.477620i
$292$	−0.0932964	+	0.589050i	−0.00545976	+	0.0344716i
$293$	1.97743	−	1.97743i	0.115523	−	0.115523i	−0.646982	−	0.762505i	$-0.723969\pi$
$293$	1.97743	−	1.97743i	0.115523	−	0.115523i	0.762505	+	0.646982i	$0.223969\pi$
$294$	6.77911	+	8.64387i	0.395366	+	0.504121i
$295$	6.55798	−	13.7720i	0.381820	−	0.801837i
$296$	−4.51285	+	6.21140i	−0.262304	+	0.361030i
$297$	−7.67862	+	2.10320i	−0.445559	+	0.122040i
$298$	5.84222	−	2.97676i	0.338431	−	0.172439i
$299$	32.0116			1.85128
$300$	−8.03980	−	3.21894i	−0.464178	−	0.185845i
$301$	16.7727			0.966760
$302$	0.949976	−	0.484037i	0.0546650	−	0.0278532i
$303$	−0.0488974	−	0.249095i	−0.00280908	−	0.0143102i
$304$	−1.27450	+	1.75421i	−0.0730979	+	0.100611i
$305$	11.3405	−	6.16688i	0.649354	−	0.353115i
$306$	−11.8149	+	9.98857i	−0.675413	+	0.571008i
$307$	−11.7511	+	11.7511i	−0.670673	+	0.670673i	−0.957871	−	0.287198i	$-0.907276\pi$
$307$	−11.7511	+	11.7511i	−0.670673	+	0.670673i	0.287198	+	0.957871i	$0.407276\pi$
$308$	0.875502	−	5.52770i	0.0498864	−	0.314970i
$309$	−9.30230	−	25.4115i	−0.529189	−	1.44561i
$310$	−15.5066	+	5.50247i	−0.880717	+	0.312520i
$311$	−3.30339	−	1.07334i	−0.187318	−	0.0608633i	0.213856	−	0.976865i	$-0.431398\pi$
$311$	−3.30339	−	1.07334i	−0.187318	−	0.0608633i	−0.401174	+	0.916002i	$0.631398\pi$
$312$	−7.90730	−	3.66945i	−0.447663	−	0.207742i
$313$	3.85400	−	7.56390i	0.217841	−	0.427537i	−0.756063	−	0.654499i	$-0.772879\pi$
$313$	3.85400	−	7.56390i	0.217841	−	0.427537i	0.973904	+	0.226962i	$0.0728795\pi$
$314$	6.70127	−	20.6244i	0.378175	−	1.16390i
$315$	22.4281	−	9.86813i	1.26368	−	0.556006i
$316$	0.411226	+	1.26562i	0.0231333	+	0.0711969i
$317$	9.73906	+	1.54252i	0.547000	+	0.0866363i	0.423817	−	0.905748i	$-0.360690\pi$
$317$	9.73906	+	1.54252i	0.547000	+	0.0866363i	0.123183	+	0.992384i	$0.460690\pi$
$318$	1.21813	−	1.31114i	0.0683093	−	0.0735249i
$319$	6.28766	+	8.65423i	0.352042	+	0.484544i
$320$	−1.06823	−	1.96440i	−0.0597159	−	0.109814i
$321$	−3.60172	−	2.41972i	−0.201029	−	0.135055i
$322$	−22.9469	+	3.63443i	−1.27878	+	0.202539i
$323$	5.07665	+	9.96348i	0.282472	+	0.554383i
$324$	−1.31844	−	8.90290i	−0.0732469	−	0.494606i
$325$	−23.0021	−	10.2056i	−1.27593	−	0.566103i
$326$			10.2817i			0.569452i
$327$	−12.1878	+	6.78529i	−0.673986	+	0.375227i
$328$	−0.470327	−	2.96952i	−0.0259694	−	0.163965i
$329$	−8.42877	−	6.12386i	−0.464693	−	0.337619i
$330$	−5.44783	−	2.35263i	−0.299893	−	0.129508i
$331$	−13.3891	+	9.72777i	−0.735933	+	0.534687i	−0.891435	−	0.453149i	$-0.850301\pi$
$331$	−13.3891	+	9.72777i	−0.735933	+	0.534687i	0.155502	+	0.987836i	$0.450301\pi$
$332$	1.95701	+	1.95701i	0.107405	+	0.107405i
$333$	−22.9528	−	1.92260i	−1.25780	−	0.105358i
$334$	22.9173	−	7.44629i	1.25398	−	0.407443i
$335$	−5.97858	+	4.59367i	−0.326644	+	0.250979i
$336$	6.08480	+	1.73262i	0.331953	+	0.0945221i
$337$	−23.3624	−	11.9038i	−1.27263	−	0.648439i	−0.318528	−	0.947913i	$-0.603189\pi$
$337$	−23.3624	−	11.9038i	−1.27263	−	0.648439i	−0.954104	+	0.299475i	$0.903189\pi$
$338$	−10.9862	−	5.59775i	−0.597570	−	0.304477i
$339$	−18.0729	−	5.14617i	−0.981585	−	0.279502i
$340$	−11.5275	+	0.309321i	−0.625168	+	0.0167753i
$341$	−10.7226	+	3.48400i	−0.580663	+	0.188669i
$342$	−6.48225	−	0.542974i	−0.350520	−	0.0293607i
$343$	1.69884	+	1.69884i	0.0917290	+	0.0917290i
$344$	3.71488	−	2.69902i	0.200293	−	0.145521i
$345$	−2.29985	+	24.5264i	−0.123820	+	1.32046i
$346$	19.4258	+	14.1137i	1.04434	+	0.758756i
$347$	1.86187	+	11.7554i	0.0999502	+	0.631061i	0.985907	+	0.167293i	$0.0535027\pi$
$347$	1.86187	+	11.7554i	0.0999502	+	0.631061i	−0.885957	+	0.463768i	$0.846497\pi$
$348$	−10.5656	+	5.88218i	−0.566376	+	0.315318i
$349$			25.4721i			1.36349i	0.731591	+	0.681744i	$0.238778\pi$
$349$			25.4721i			1.36349i	−0.731591	+	0.681744i	$0.761222\pi$
$350$	17.6473	+	4.70412i	0.943289	+	0.251446i
$351$	−2.87784	−	25.9929i	−0.153608	−	1.38740i
$352$	−0.695596	−	1.36518i	−0.0370754	−	0.0727645i
$353$	−8.69825	+	1.37767i	−0.462961	+	0.0733258i	−0.383558	−	0.923517i	$-0.625301\pi$
$353$	−8.69825	+	1.37767i	−0.462961	+	0.0733258i	−0.0794030	+	0.996843i	$0.525301\pi$
$354$	9.80767	+	6.58900i	0.521272	+	0.350201i
$355$	−8.15673	+	1.51722i	−0.432914	+	0.0805256i
$356$	3.78405	+	5.20829i	0.200554	+	0.276039i
$357$	22.2077	−	23.9033i	1.17536	−	1.26510i
$358$	−4.45314	−	0.705308i	−0.235356	−	0.0372767i
$359$	−2.11987	−	6.52428i	−0.111882	−	0.344338i	0.879402	−	0.476080i	$-0.157943\pi$
$359$	−2.11987	−	6.52428i	−0.111882	−	0.344338i	−0.991284	+	0.131742i	$0.957943\pi$
$360$	3.37952	−	5.79472i	0.178117	−	0.305409i
$361$	4.41845	−	13.5986i	0.232550	−	0.715715i
$362$	−6.42000	+	12.6000i	−0.337428	+	0.662239i
$363$	13.5940	+	6.30841i	0.713500	+	0.331106i
$364$	17.4839	+	5.68088i	0.916408	+	0.297759i
$365$	−1.27890	−	0.377928i	−0.0669408	−	0.0197817i
$366$	3.43727	+	9.38975i	0.179669	+	0.490810i
$367$	−2.31983	+	14.6468i	−0.121094	+	0.764559i	0.850162	+	0.526522i	$0.176504\pi$
$367$	−2.31983	+	14.6468i	−0.121094	+	0.764559i	−0.971256	+	0.238038i	$0.923496\pi$
$368$	−4.49754	+	4.49754i	−0.234450	+	0.234450i
$369$	6.88794	−	5.82321i	0.358572	−	0.303144i
$370$	−12.4608	−	11.8095i	−0.647806	−	0.613949i
$371$	−2.21843	+	3.05341i	−0.115175	+	0.158525i
$372$	−2.45502	−	12.5065i	−0.127287	−	0.648431i
$373$	−15.4140	+	7.85384i	−0.798108	+	0.406656i	−0.804967	−	0.593320i	$-0.797817\pi$
$373$	−15.4140	+	7.85384i	−0.798108	+	0.406656i	0.00685847	+	0.999976i	$0.497817\pi$
$374$	−7.90165			−0.408584
$375$	9.47180	−	16.8904i	0.489122	−	0.872216i
$376$	−2.85228			−0.147095
$377$	−31.3083	+	15.9524i	−1.61246	+	0.821590i
$378$	5.01402	+	18.3058i	0.257893	+	0.941546i
$379$	−3.34257	+	4.60065i	−0.171696	+	0.236319i	−0.886190	−	0.463323i	$-0.846657\pi$
$379$	−3.34257	+	4.60065i	−0.171696	+	0.236319i	0.714494	+	0.699642i	$0.246657\pi$
$380$	−3.51914	−	3.33521i	−0.180528	−	0.171093i
$381$	19.7505	+	25.1833i	1.01185	+	1.29018i
$382$	9.06711	−	9.06711i	0.463914	−	0.463914i
$383$	4.74888	−	29.9833i	0.242657	−	1.53207i	−0.502143	−	0.864785i	$-0.667455\pi$
$383$	4.74888	−	29.9833i	0.242657	−	1.53207i	0.744799	−	0.667289i	$-0.232545\pi$
$384$	1.62650	−	0.595405i	0.0830018	−	0.0303841i
$385$	12.0013	+	3.54652i	0.611645	+	0.180747i
$386$	−13.3138	−	4.32593i	−0.677657	−	0.220184i
$387$	12.7003	+	5.33560i	0.645591	+	0.271224i
$388$	6.21246	−	12.1926i	0.315390	−	0.618987i
$389$	−0.407506	+	1.25417i	−0.0206613	+	0.0635891i	−0.960856	−	0.277050i	$-0.910643\pi$
$389$	−0.407506	+	1.25417i	−0.0206613	+	0.0635891i	0.940194	+	0.340639i	$0.110643\pi$
$390$	10.4322	−	16.4658i	0.528253	−	0.833776i
$391$	10.1363	+	31.1963i	0.512615	+	1.57767i
$392$	−6.26418	−	0.992148i	−0.316389	−	0.0501110i
$393$	16.8326	+	15.6385i	0.849091	+	0.788860i
$394$	4.00131	+	5.50734i	0.201583	+	0.277456i
$395$	−2.92548	+	0.544164i	−0.147197	+	0.0273798i
$396$	2.42136	−	3.90707i	0.121678	−	0.196338i
$397$	10.9634	−	1.73643i	0.550238	−	0.0871491i	0.124876	−	0.992172i	$-0.460147\pi$
$397$	10.9634	−	1.73643i	0.550238	−	0.0871491i	0.425362	+	0.905023i	$0.360147\pi$
$398$	2.45377	+	4.81580i	0.122997	+	0.241394i
$399$	13.7090	−	0.504110i	0.686307	−	0.0252371i
$400$	4.66558	−	1.79788i	0.233279	−	0.0898939i
$401$			38.4533i			1.92026i	0.279545	+	0.960132i	$0.409816\pi$
$401$			38.4533i			1.92026i	−0.279545	+	0.960132i	$0.590184\pi$
$402$	−2.84079	−	5.10265i	−0.141686	−	0.254497i
$403$	−5.79343	−	36.5783i	−0.288591	−	1.82209i
$404$	0.118569	+	0.0861458i	0.00589905	+	0.00428591i
$405$	20.1218	−	0.337476i	0.999859	−	0.0167693i
$406$	20.6316	−	14.9897i	1.02393	−	0.743928i
$407$	−8.31815	−	8.31815i	−0.412316	−	0.412316i
$408$	1.07219	−	8.86782i	0.0530813	−	0.439022i
$409$	10.8096	−	3.51227i	0.534502	−	0.173670i	−0.0293144	−	0.999570i	$-0.509332\pi$
$409$	10.8096	−	3.51227i	0.534502	−	0.173670i	0.563817	+	0.825900i	$0.309332\pi$
$410$	6.72041	−	0.180331i	0.331897	−	0.00890589i
$411$	−4.62994	+	16.2600i	−0.228378	+	0.802044i
$412$	13.9206	+	7.09291i	0.685820	+	0.349443i
$413$	−22.2017	−	11.3123i	−1.09247	−	0.556643i
$414$	−18.5316	−	4.54771i	−0.910777	−	0.223508i
$415$	−4.90732	+	3.77057i	−0.240891	+	0.185090i
$416$	4.78657	−	1.55525i	0.234681	−	0.0762525i
$417$	8.35269	+	1.00991i	0.409033	+	0.0494553i
$418$	−2.34919	−	2.34919i	−0.114903	−	0.114903i
$419$	−4.06691	+	2.95479i	−0.198682	+	0.144351i	−0.682678	−	0.730719i	$-0.739185\pi$
$419$	−4.06691	+	2.95479i	−0.198682	+	0.144351i	0.483996	+	0.875070i	$0.339185\pi$
$420$	−5.60865	+	12.9876i	−0.273674	+	0.633728i
$421$	−7.36850	−	5.35353i	−0.359119	−	0.260915i	0.393566	−	0.919296i	$-0.371241\pi$
$421$	−7.36850	−	5.35353i	−0.359119	−	0.260915i	−0.752684	+	0.658382i	$0.771241\pi$
$422$	−2.00197	−	12.6399i	−0.0974544	−	0.615303i
$423$	−4.43419	−	7.31829i	−0.215598	−	0.355828i
$424$			1.03327i			0.0501799i
$425$	2.66215	−	25.6478i	0.129133	−	1.24410i
$426$	−0.236159	−	6.42221i	−0.0114420	−	0.311157i
$427$	−9.57331	−	18.7887i	−0.463285	−	0.909248i
$428$	2.47432	−	0.391893i	0.119601	−	0.0189429i
$429$	7.44831	−	11.0867i	0.359608	−	0.535273i
$430$	4.90515	+	9.02024i	0.236547	+	0.434995i
$431$	14.5495	+	20.0257i	0.700824	+	0.964602i	0.999946	+	0.0103868i	$0.00330628\pi$
$431$	14.5495	+	20.0257i	0.700824	+	0.964602i	−0.299122	+	0.954215i	$0.596694\pi$
$432$	4.05625	+	3.24759i	0.195156	+	0.156250i
$433$	21.9052	+	3.46945i	1.05270	+	0.166731i	0.658720	−	0.752388i	$-0.271098\pi$
$433$	21.9052	+	3.46945i	1.05270	+	0.166731i	0.393979	+	0.919119i	$0.371098\pi$
$434$	8.30582	+	25.5627i	0.398692	+	1.22705i
$435$	−9.97295	−	25.1336i	−0.478166	−	1.20507i
$436$	2.48870	−	7.65945i	0.119187	−	0.366821i
$437$	−6.26122	+	12.2883i	−0.299515	+	0.587831i
$438$	0.434825	−	0.937006i	0.0207768	−	0.0447719i
$439$	1.62057	+	0.526555i	0.0773456	+	0.0251311i	0.347434	−	0.937704i	$-0.387053\pi$
$439$	1.62057	+	0.526555i	0.0773456	+	0.0251311i	−0.270089	+	0.962835i	$0.587053\pi$
$440$	3.22881	−	1.14573i	0.153927	−	0.0546206i
$441$	−7.19275	−	17.6148i	−0.342512	−	0.838802i
$442$	4.06030	−	25.6357i	0.193129	−	1.21937i
$443$	−0.713085	+	0.713085i	−0.0338797	+	0.0338797i	−0.723844	−	0.689964i	$-0.757626\pi$
$443$	−0.713085	+	0.713085i	−0.0338797	+	0.0338797i	0.689964	+	0.723844i	$0.257626\pi$
$444$	10.4640	−	8.20655i	0.496598	−	0.389465i
$445$	−12.6465	+	6.87706i	−0.599499	+	0.326004i
$446$	17.0657	−	23.4889i	0.808085	−	1.11223i
$447$	−11.1442	+	2.18760i	−0.527101	+	0.103470i
$448$	−3.25458	+	1.65829i	−0.153765	+	0.0783470i
$449$	12.4310			0.586657			0.293329	−	0.956012i	$-0.405237\pi$
$449$	12.4310			0.586657			0.293329	+	0.956012i	$0.405237\pi$
$450$	11.8661	+	9.17580i	0.559374	+	0.432551i
$451$	4.60656			0.216915
$452$	9.66667	−	4.92541i	0.454682	−	0.231672i
$453$	−1.81210	+	0.355715i	−0.0851398	+	0.0167130i
$454$	−2.32271	+	3.19694i	−0.109010	+	0.150040i
$455$	−17.6731	+	37.1142i	−0.828528	+	1.73994i
$456$	2.95520	−	2.31767i	0.138390	−	0.108535i
$457$	−25.4659	+	25.4659i	−1.19125	+	1.19125i	−0.214529	+	0.976718i	$0.568822\pi$
$457$	−25.4659	+	25.4659i	−1.19125	+	1.19125i	−0.976718	+	0.214529i	$0.931178\pi$
$458$	2.06521	−	13.0392i	0.0965011	−	0.609284i
$459$	24.4196	−	11.0350i	1.13981	−	0.515071i
$460$	−8.66538	−	11.2778i	−0.404025	−	0.525832i
$461$	−34.8009	−	11.3075i	−1.62084	−	0.526642i	−0.648699	−	0.761045i	$-0.724686\pi$
$461$	−34.8009	−	11.3075i	−1.62084	−	0.526642i	−0.972140	+	0.234403i	$0.924686\pi$
$462$	−4.08044	+	8.79295i	−0.189839	+	0.409085i
$463$	3.00399	−	5.89566i	0.139607	−	0.273994i	−0.810608	−	0.585589i	$-0.800863\pi$
$463$	3.00399	−	5.89566i	0.139607	−	0.273994i	0.950215	+	0.311595i	$0.100863\pi$
$464$	2.15746	−	6.63998i	0.100158	−	0.308253i
$465$	28.4415	−	1.81082i	1.31894	−	0.0839749i
$466$	−2.70862	−	8.33627i	−0.125474	−	0.386170i
$467$	−37.7026	−	5.97151i	−1.74467	−	0.276328i	−0.798970	−	0.601371i	$-0.794621\pi$
$467$	−37.7026	−	5.97151i	−1.74467	−	0.276328i	−0.945699	+	0.325043i	$0.894621\pi$
$468$	11.4317	+	9.86343i	0.528430	+	0.455937i
$469$	7.23928	+	9.96401i	0.334279	+	0.460095i
$470$	0.828391	−	6.32386i	0.0382108	−	0.291698i
$471$	−20.9461	+	31.1781i	−0.965147	+	1.43661i
$472$	−6.73768	+	1.06714i	−0.310127	+	0.0491192i
$473$	3.19407	+	6.26871i	0.146863	+	0.288236i
$474$	−0.0847006	−	2.30338i	−0.00389043	−	0.105798i
$475$	8.41666	−	6.83373i	0.386183	−	0.313553i
$476$			18.8375i			0.863413i
$477$	−2.65112	+	1.60633i	−0.121387	+	0.0735488i
$478$	2.96351	+	18.7109i	0.135548	+	0.855815i
$479$	−9.41843	−	6.84289i	−0.430339	−	0.312660i	0.351445	−	0.936208i	$-0.385690\pi$
$479$	−9.41843	−	6.84289i	−0.430339	−	0.312660i	−0.781785	+	0.623549i	$0.785690\pi$
$480$	0.847702	+	3.77907i	0.0386921	+	0.172490i
$481$	31.2614	−	22.7127i	1.42540	−	1.03561i
$482$	−16.6233	−	16.6233i	−0.757170	−	0.757170i
$483$	39.9497	+	4.83024i	1.81777	+	0.219783i
$484$	−8.22894	+	2.67375i	−0.374043	+	0.121534i
$485$	25.2283	+	17.3149i	1.14556	+	0.786230i
$486$	−2.02668	+	15.4561i	−0.0919320	+	0.701105i
$487$	31.6495	+	16.1262i	1.43418	+	0.730750i	0.986548	−	0.163470i	$-0.0522686\pi$
$487$	31.6495	+	16.1262i	1.43418	+	0.730750i	0.447629	+	0.894219i	$0.352269\pi$
$488$	−5.14377	−	2.62088i	−0.232848	−	0.118642i
$489$	4.87701	−	17.1276i	0.220546	−	0.774538i
$490$	4.01903	−	13.6003i	0.181561	−	0.614400i
$491$	−3.18688	+	1.03548i	−0.143822	+	0.0467305i	−0.380043	−	0.924969i	$-0.624091\pi$
$491$	−3.18688	+	1.03548i	−0.143822	+	0.0467305i	0.236222	+	0.971699i	$0.424091\pi$
$492$	−0.625074	+	5.16983i	−0.0281805	+	0.233074i
$493$	−25.4597	−	25.4597i	−1.14665	−	1.14665i
$494$	8.82874	−	6.41446i	0.397224	−	0.288600i
$495$	7.95923	+	6.50320i	0.357741	+	0.292297i
$496$	5.95310	+	4.32518i	0.267302	+	0.194206i
$497$	2.12014	+	13.3860i	0.0951012	+	0.600446i
$498$	−2.33177	−	4.18834i	−0.104489	−	0.187684i
$499$		−	2.56390i		−	0.114776i	−0.998352	−	0.0573880i	$-0.981723\pi$
$499$		−	2.56390i		−	0.114776i	0.998352	−	0.0573880i	$-0.0182772\pi$
$500$	2.63109	+	10.8663i	0.117666	+	0.485958i
$501$	−41.7085	+	1.53372i	−1.86340	+	0.0685214i
$502$	6.19642	+	12.1612i	0.276560	+	0.542779i
$503$	14.3652	−	2.27523i	0.640515	−	0.101448i	0.172275	−	0.985049i	$-0.444888\pi$
$503$	14.3652	−	2.27523i	0.640515	−	0.101448i	0.468240	+	0.883601i	$0.344888\pi$
$504$	−9.31442	−	5.77251i	−0.414897	−	0.257128i
$505$	−0.225432	+	0.237864i	−0.0100316	+	0.0105848i
$506$	−5.72820	−	7.88419i	−0.254650	−	0.350495i
$507$	15.6460	+	14.5361i	0.694861	+	0.645570i
$508$	−18.2502	−	2.89055i	−0.809723	−	0.128248i
$509$	−2.88278	−	8.87228i	−0.127777	−	0.393257i	0.866620	−	0.498969i	$-0.166288\pi$
$509$	−2.88278	−	8.87228i	−0.127777	−	0.393257i	−0.994397	+	0.105712i	$0.966288\pi$
$510$	19.3497	+	4.95267i	0.856818	+	0.219308i
$511$	−0.673177	+	2.07183i	−0.0297796	+	0.0916522i
$512$	−0.453990	+	0.891007i	−0.0200637	+	0.0393773i
$513$	10.5408	+	3.97929i	0.465388	+	0.175690i
$514$	−19.2024	−	6.23925i	−0.846983	−	0.275202i
$515$	−19.7689	+	28.8038i	−0.871120	+	1.26925i
$516$	−7.46862	+	2.73401i	−0.328788	+	0.120358i
$517$	0.683651	−	4.31640i	0.0300669	−	0.189835i
$518$	−19.8304	+	19.8304i	−0.871298	+	0.871298i
$519$	−25.6655	−	32.7254i	−1.12659	−	1.43649i
$520$	2.05802	+	11.0641i	0.0902501	+	0.485194i
$521$	19.0337	−	26.1976i	0.833881	−	1.14774i	−0.153308	−	0.988179i	$-0.548993\pi$
$521$	19.0337	−	26.1976i	0.833881	−	1.14774i	0.987188	−	0.159560i	$-0.0510075\pi$
$522$	20.3907	−	4.78706i	0.892476	−	0.209524i
$523$	−19.7913	+	10.0842i	−0.865413	+	0.440950i	−0.829567	−	0.558408i	$-0.811413\pi$
$523$	−19.7913	+	10.0842i	−0.865413	+	0.440950i	−0.0358458	+	0.999357i	$0.511413\pi$
$524$	−13.2652			−0.579494
$525$	−27.1662	−	16.2071i	−1.18563	−	0.707335i
$526$	−16.2940			−0.710454
$527$	33.8122	−	17.2282i	1.47288	−	0.750471i
$528$	0.511188	+	2.60412i	0.0222466	+	0.113330i
$529$	−10.2602	+	14.1219i	−0.446095	+	0.613997i
$530$	−2.29088	−	0.300093i	−0.0995096	−	0.0130352i
$531$	−13.2125	−	15.6283i	−0.573375	−	0.678212i
$532$	−5.60044	+	5.60044i	−0.242810	+	0.242810i
$533$	−2.36711	+	14.9453i	−0.102531	+	0.647354i
$534$	−3.83310	−	10.4711i	−0.165875	−	0.453128i
$535$	0.150258	+	5.59969i	0.00649622	+	0.242096i
$536$	3.20677	+	1.04194i	0.138511	+	0.0450051i
$537$	7.08363	+	3.28722i	0.305681	+	0.141854i
$538$	4.95969	−	9.73395i	0.213828	−	0.419660i
$539$	3.00287	−	9.24188i	0.129343	−	0.398076i
$540$	−8.37839	+	8.05001i	−0.360548	+	0.346417i
$541$	−0.547811	−	1.68599i	−0.0235522	−	0.0724863i	0.938590	−	0.345036i	$-0.112133\pi$
$541$	−0.547811	−	1.68599i	−0.0235522	−	0.0724863i	−0.962142	+	0.272549i	$0.912133\pi$
$542$	−3.31644	−	0.525272i	−0.142453	−	0.0225624i
$543$	16.6713	−	17.9442i	0.715434	−	0.770058i
$544$	3.03128	+	4.17220i	0.129965	+	0.178882i
$545$	16.2592	+	7.74232i	0.696466	+	0.331644i
$546$	−26.4307	−	17.7567i	−1.13113	−	0.759917i
$547$	−12.4044	+	1.96467i	−0.530376	+	0.0840033i	−0.415878	−	0.909420i	$-0.636526\pi$
$547$	−12.4044	+	1.96467i	−0.530376	+	0.0840033i	−0.114497	+	0.993424i	$0.536526\pi$
$548$	−4.43133	−	8.69698i	−0.189297	−	0.371517i
$549$	−1.27200	−	17.2722i	−0.0542875	−	0.737159i
$550$	1.60249	+	7.49143i	0.0683302	+	0.319436i
$551$		−	15.1385i		−	0.644922i
$552$	9.62550	−	5.35879i	0.409689	−	0.228085i
$553$	0.760406	+	4.80101i	0.0323357	+	0.204160i
$554$	22.7075	+	16.4980i	0.964751	+	0.700933i
$555$	15.1559	+	25.5834i	0.643332	+	1.08595i
$556$	−3.92984	+	2.85519i	−0.166662	+	0.121087i
$557$	19.4225	+	19.4225i	0.822959	+	0.822959i	0.986531	−	0.163573i	$-0.0523018\pi$
$557$	19.4225	+	19.4225i	0.822959	+	0.822959i	−0.163573	+	0.986531i	$0.552302\pi$
$558$	−1.84265	+	21.9983i	−0.0780054	+	0.931260i
$559$	−21.9792	+	7.14148i	−0.929621	+	0.302052i
$560$	−2.73141	−	7.69745i	−0.115423	−	0.325276i
$561$	13.1628	+	3.74805i	0.555735	+	0.158243i
$562$	0.632986	+	0.322522i	0.0267009	+	0.0136048i
$563$	−22.4447	−	11.4362i	−0.945933	−	0.481977i	−0.0882171	−	0.996101i	$-0.528117\pi$
$563$	−22.4447	−	11.4362i	−0.945933	−	0.481977i	−0.857716	+	0.514125i	$0.828117\pi$
$564$	4.75142	+	1.35295i	0.200071	+	0.0569693i
$565$	8.11276	+	22.8627i	0.341307	+	0.961842i
$566$	8.76558	−	2.84811i	0.368445	−	0.119715i
$567$	0.330602	−	32.8727i	0.0138840	−	1.38052i
$568$	2.62363	+	2.62363i	0.110085	+	0.110085i
$569$	−24.7435	+	17.9772i	−1.03730	+	0.753643i	−0.969757	−	0.244073i	$-0.921516\pi$
$569$	−24.7435	+	17.9772i	−1.03730	+	0.753643i	−0.0675439	+	0.997716i	$0.521516\pi$
$570$	4.28028	+	7.22518i	0.179281	+	0.302629i
$571$	−8.91080	−	6.47408i	−0.372905	−	0.270932i	0.385509	−	0.922704i	$-0.374026\pi$
$571$	−8.91080	−	6.47408i	−0.372905	−	0.270932i	−0.758415	+	0.651772i	$0.774026\pi$
$572$	1.20632	+	7.61638i	0.0504386	+	0.318457i
$573$	−19.4052	+	10.8034i	−0.810663	+	0.451320i
$574$		−	10.9820i		−	0.458380i
$575$	27.5211	−	15.9368i	1.14771	−	0.664611i
$576$	−2.99190	+	0.220336i	−0.124662	+	0.00918066i
$577$	−1.76187	−	3.45787i	−0.0733478	−	0.143953i	0.851421	−	0.524483i	$-0.175741\pi$
$577$	−1.76187	−	3.45787i	−0.0733478	−	0.143953i	−0.924768	+	0.380530i	$0.875741\pi$
$578$	9.47778	−	1.50113i	0.394224	−	0.0624389i
$579$	20.1267	+	13.5216i	0.836437	+	0.561937i
$580$	14.0951	+	6.71182i	0.585266	+	0.278693i
$581$	5.94213	+	8.17864i	0.246521	+	0.339307i
$582$	−16.1324	+	17.3641i	−0.668708	+	0.719765i
$583$	−1.56366	−	0.247659i	−0.0647602	−	0.0102570i
$584$	0.184296	+	0.567203i	0.00762620	+	0.0234710i
$585$	−25.1886	+	22.4809i	−1.04142	+	0.929469i
$586$	0.864170	−	2.65964i	0.0356985	−	0.109869i
$587$	20.1279	−	39.5031i	0.830766	−	1.63047i	0.0558204	−	0.998441i	$-0.482223\pi$
$587$	20.1279	−	39.5031i	0.830766	−	1.63047i	0.774945	−	0.632028i	$-0.217777\pi$
$588$	9.96447	+	4.62409i	0.410928	+	0.190694i
$589$	15.1745	+	4.93049i	0.625254	+	0.203157i
$590$	−0.409159	−	15.2482i	−0.0168448	−	0.627759i
$591$	−4.05318	−	11.0723i	−0.166726	−	0.455453i
$592$	−1.20106	+	7.58319i	−0.0493632	+	0.311667i
$593$	−11.0677	+	11.0677i	−0.454495	+	0.454495i	−0.896843	−	0.442348i	$-0.854145\pi$
$593$	−11.0677	+	11.0677i	−0.454495	+	0.454495i	0.442348	+	0.896843i	$0.354145\pi$
$594$	−5.88686	+	5.35999i	−0.241541	+	0.219923i
$595$	−41.7650	−	5.47099i	−1.71220	−	0.224289i
$596$	3.85404	−	5.30463i	0.157868	−	0.217286i
$597$	−1.80326	−	9.18625i	−0.0738026	−	0.375968i
$598$	28.5226	−	14.5330i	1.16638	−	0.594298i
$599$	−39.0036			−1.59364			−0.796822	−	0.604215i	$-0.793487\pi$
$599$	−39.0036			−1.59364			−0.796822	+	0.604215i	$0.793487\pi$
$600$	−8.62488	+	0.781902i	−0.352109	+	0.0319210i
$601$	−25.7471			−1.05025			−0.525123	−	0.851027i	$-0.675981\pi$
$601$	−25.7471			−1.05025			−0.525123	+	0.851027i	$0.675981\pi$
$602$	14.9446	−	7.61463i	0.609094	−	0.310349i
$603$	2.31190	+	9.84766i	0.0941480	+	0.401028i
$604$	0.626686	−	0.862560i	0.0254995	−	0.0350971i
$605$	−3.53809	−	19.0211i	−0.143844	−	0.773319i
$606$	−0.156655	−	0.199747i	−0.00636367	−	0.00811415i
$607$	−14.3533	+	14.3533i	−0.582583	+	0.582583i	−0.935612	−	0.353030i	$-0.885152\pi$
$607$	−14.3533	+	14.3533i	−0.582583	+	0.582583i	0.353030	+	0.935612i	$0.385152\pi$
$608$	−0.339200	+	2.14162i	−0.0137564	+	0.0868542i
$609$	−41.4790	+	15.1841i	−1.68081	+	0.615289i
$610$	7.30474	−	10.6432i	0.295760	−	0.430931i
$611$	13.6526	+	4.43601i	0.552327	+	0.179462i
$612$	−5.99244	+	14.2637i	−0.242230	+	0.576577i
$613$	−12.7810	+	25.0841i	−0.516219	+	1.01314i	0.474885	+	0.880048i	$0.342490\pi$
$613$	−12.7810	+	25.0841i	−0.516219	+	1.01314i	−0.991104	+	0.133089i	$0.957510\pi$
$614$	−5.13543	+	15.8052i	−0.207249	+	0.637848i
$615$	−11.2806	−	2.88735i	−0.454879	−	0.116429i
$616$	−1.72945	−	5.32269i	−0.0696814	−	0.214457i
$617$	22.8131	+	3.61324i	0.918421	+	0.145464i	0.597709	−	0.801713i	$-0.296078\pi$
$617$	22.8131	+	3.61324i	0.918421	+	0.145464i	0.320712	+	0.947177i	$0.396078\pi$
$618$	−19.8250	−	18.4187i	−0.797479	−	0.740909i
$619$	5.12654	+	7.05608i	0.206053	+	0.283608i	0.899519	−	0.436882i	$-0.143917\pi$
$619$	5.12654	+	7.05608i	0.206053	+	0.283608i	−0.693466	+	0.720489i	$0.743917\pi$
$620$	−11.3184	+	11.9426i	−0.454559	+	0.479626i
$621$	28.7134	+	16.3660i	1.15223	+	0.656744i
$622$	−3.43062	+	0.543357i	−0.137555	+	0.0217866i
$623$	10.6758	+	20.9524i	0.427716	+	0.839440i
$624$	−8.71135	+	0.320336i	−0.348733	+	0.0128237i
$625$	−24.8562	+	2.67754i	−0.994248	+	0.107102i
$626$		−	8.48916i		−	0.339295i
$627$	2.79905	+	5.02767i	0.111783	+	0.200786i
$628$	−3.39240	−	21.4188i	−0.135372	−	0.854702i
$629$	32.0330	+	23.2733i	1.27724	+	0.927967i
$630$	15.5036	−	18.9747i	0.617678	−	0.755972i
$631$	20.4095	−	14.8283i	0.812488	−	0.590307i	−0.102063	−	0.994778i	$-0.532544\pi$
$631$	20.4095	−	14.8283i	0.812488	−	0.590307i	0.914551	+	0.404471i	$0.132544\pi$
$632$	0.940986	+	0.940986i	0.0374304	+	0.0374304i
$633$	−2.66066	+	22.0057i	−0.105752	+	0.874646i
$634$	9.37785	−	3.04705i	0.372442	−	0.121014i
$635$	11.7092	−	39.6236i	0.464664	−	1.57241i
$636$	0.490118	−	1.72125i	0.0194344	−	0.0682520i
$637$	28.4409	+	14.4914i	1.12687	+	0.574169i
$638$	9.53128	+	4.85643i	0.377347	+	0.192268i
$639$	−2.65290	+	10.8104i	−0.104947	+	0.427651i
$640$	−1.84362	−	1.26533i	−0.0728755	−	0.0500166i
$641$	30.1335	−	9.79096i	1.19020	−	0.386720i	0.354054	−	0.935225i	$-0.384803\pi$
$641$	30.1335	−	9.79096i	1.19020	−	0.386720i	0.836147	+	0.548505i	$0.184803\pi$
$642$	−4.30769	−	0.520834i	−0.170011	−	0.0205557i
$643$	11.3185	+	11.3185i	0.446357	+	0.446357i	0.894142	−	0.447785i	$-0.147787\pi$
$643$	11.3185	+	11.3185i	0.446357	+	0.446357i	−0.447785	+	0.894142i	$0.647787\pi$
$644$	−18.7959	+	13.6560i	−0.740660	+	0.538121i
$645$	−3.89252	−	17.3529i	−0.153268	−	0.683271i
$646$	9.04665	+	6.57278i	0.355936	+	0.258602i
$647$	−4.88293	−	30.8296i	−0.191968	−	1.21204i	−0.875901	−	0.482491i	$-0.839732\pi$
$647$	−4.88293	−	30.8296i	−0.191968	−	1.21204i	0.683933	−	0.729545i	$-0.260268\pi$
$648$	−5.21658	−	7.33398i	−0.204926	−	0.288106i
$649$		−	10.4520i		−	0.410278i
$650$	−25.1283	+	1.34952i	−0.985613	+	0.0529325i
$651$	−1.71075	−	46.5229i	−0.0670498	−	1.82338i
$652$	4.66780	+	9.16108i	0.182805	+	0.358775i
$653$	1.59686	−	0.252918i	0.0624900	−	0.00989744i	−0.125111	−	0.992143i	$-0.539929\pi$
$653$	1.59686	−	0.252918i	0.0624900	−	0.00989744i	0.187601	+	0.982245i	$0.439929\pi$
$654$	−7.77894	+	11.5789i	−0.304181	+	0.452770i
$655$	3.85264	−	29.4107i	0.150535	−	1.14917i
$656$	−1.76720	−	2.43234i	−0.0689976	−	0.0949670i
$657$	−1.16880	+	1.35464i	−0.0455994	+	0.0528496i
$658$	−10.2903	−	1.62982i	−0.401156	−	0.0635369i
$659$	−1.49604	−	4.60434i	−0.0582774	−	0.179360i	0.917680	−	0.397320i	$-0.130060\pi$
$659$	−1.49604	−	4.60434i	−0.0582774	−	0.179360i	−0.975958	+	0.217960i	$0.930060\pi$
$660$	−5.92212	+	0.377052i	−0.230518	+	0.0146767i
$661$	−14.5577	+	44.8040i	−0.566229	+	1.74267i	0.0980414	+	0.995182i	$0.468742\pi$
$661$	−14.5577	+	44.8040i	−0.566229	+	1.74267i	−0.664271	+	0.747492i	$0.731258\pi$
$662$	−7.51349	+	14.7460i	−0.292020	+	0.573121i
$663$	−18.9238	+	40.7789i	−0.734940	+	1.58372i
$664$	2.63218	+	0.855246i	0.102148	+	0.0331900i
$665$	−10.7903	−	14.0434i	−0.418432	−	0.544581i
$666$	−21.3239	+	8.70729i	−0.826284	+	0.337401i
$667$	6.94676	−	43.8601i	0.268980	−	1.69827i
$668$	17.0389	−	17.0389i	0.659256	−	0.659256i
$669$	−39.5703	+	31.0337i	−1.52988	+	1.19983i
$670$	−3.24147	+	6.80721i	−0.125229	+	0.262985i
$671$	5.19911	−	7.15597i	0.200710	−	0.276253i
$672$	6.20819	−	1.21867i	0.239486	−	0.0470111i
$673$	22.8312	−	11.6331i	0.880077	−	0.448422i	0.0452767	−	0.998974i	$-0.485583\pi$
$673$	22.8312	−	11.6331i	0.880077	−	0.448422i	0.834800	+	0.550553i	$0.185583\pi$
$674$	−26.2203			−1.00997
$675$	−15.4145	−	20.9139i	−0.593306	−	0.804977i
$676$	−12.3301			−0.474234
$677$	−16.4540	+	8.38373i	−0.632379	+	0.322213i	−0.740633	−	0.671910i	$-0.765474\pi$
$677$	−16.4540	+	8.38373i	−0.632379	+	0.322213i	0.108254	+	0.994123i	$0.465474\pi$
$678$	−18.4394	+	3.61965i	−0.708160	+	0.139012i
$679$	29.3799	−	40.4379i	1.12750	−	1.55187i
$680$	−10.1307	+	5.50900i	−0.388494	+	0.211260i
$681$	5.38568	−	4.22382i	0.206380	−	0.161857i
$682$	−7.97224	+	7.97224i	−0.305273	+	0.305273i
$683$	2.58115	−	16.2967i	0.0987650	−	0.623578i	−0.887803	−	0.460224i	$-0.847769\pi$
$683$	2.58115	−	16.2967i	0.0987650	−	0.623578i	0.986568	−	0.163353i	$-0.0522310\pi$
$684$	−6.02223	+	2.45909i	−0.230266	+	0.0940255i
$685$	20.5693	−	7.29895i	0.785912	−	0.278878i
$686$	2.28494	+	0.742422i	0.0872394	+	0.0283458i
$687$	−9.62532	+	20.7416i	−0.367229	+	0.791342i
$688$	2.08465	−	4.09136i	0.0794767	−	0.155982i
$689$	1.60699	−	4.94581i	0.0612214	−	0.188420i
$690$	9.08558	+	22.8973i	0.345882	+	0.871686i
$691$	−10.6221	−	32.6914i	−0.404084	−	1.24364i	−0.921658	−	0.388003i	$-0.873165\pi$
$691$	−10.6221	−	32.6914i	−0.404084	−	1.24364i	0.517574	−	0.855638i	$-0.326835\pi$
$692$	23.7160	+	3.75624i	0.901547	+	0.142791i
$693$	10.9682	−	12.7121i	0.416646	−	0.482892i
$694$	6.99576	+	9.62884i	0.265555	+	0.365506i
$695$	−5.18898	−	9.54218i	−0.196829	−	0.361956i
$696$	−6.74357	+	10.0377i	−0.255614	+	0.380480i
$697$	−15.3142	+	2.42553i	−0.580067	+	0.0918736i
$698$	11.5641	+	22.6958i	0.437707	+	0.859048i
$699$	0.557896	+	15.1717i	0.0211016	+	0.573845i
$700$	17.8595	−	3.82031i	0.675026	−	0.144394i
$701$		−	14.8859i		−	0.562232i	−0.959674	−	0.281116i	$-0.909295\pi$
$701$		−	14.8859i		−	0.562232i	0.959674	−	0.281116i	$-0.0907045\pi$
$702$	−14.3647	−	21.8533i	−0.542161	−	0.824801i
$703$	2.60428	+	16.4428i	0.0982222	+	0.620150i
$704$	−1.23956	−	0.900593i	−0.0467177	−	0.0339424i
$705$	−4.37961	+	10.1416i	−0.164946	+	0.381954i
$706$	−7.12475	+	5.17643i	−0.268143	+	0.194818i
$707$	0.378543	+	0.378543i	0.0142366	+	0.0142366i
$708$	11.7300	+	1.41825i	0.440842	+	0.0533013i
$709$	38.5502	−	12.5257i	1.44778	−	0.470413i	0.523468	−	0.852045i	$-0.324638\pi$
$709$	38.5502	−	12.5257i	1.44778	−	0.470413i	0.924314	+	0.381632i	$0.124638\pi$
$710$	−6.57890	+	5.05493i	−0.246902	+	0.189708i
$711$	−0.951484	+	3.87723i	−0.0356834	+	0.145407i
$712$	5.73613	+	2.92270i	0.214970	+	0.109533i
$713$	41.7019	+	21.2482i	1.56175	+	0.795750i
$714$	8.93533	−	31.3801i	0.334396	−	1.17437i
$715$	−17.2368	+	0.462520i	−0.644621	+	0.0172973i
$716$	−4.28798	+	1.39325i	−0.160249	+	0.0520681i
$717$	3.93856	−	32.5749i	0.147088	−	1.21653i
$718$	−4.85077	−	4.85077i	−0.181029	−	0.181029i
$719$	17.9319	−	13.0283i	0.668748	−	0.485874i	−0.200858	−	0.979620i	$-0.564373\pi$
$719$	17.9319	−	13.0283i	0.668748	−	0.485874i	0.869606	+	0.493746i	$0.164373\pi$
$720$	0.380428	−	6.69741i	0.0141777	−	0.249598i
$721$	46.1690	+	33.5437i	1.71942	+	1.24923i
$722$	−2.23676	−	14.1224i	−0.0832437	−	0.525580i
$723$	19.8066	+	35.5767i	0.736614	+	1.32311i
$724$			14.1413i			0.525556i
$725$	−18.9746	+	29.3013i	−0.704699	+	1.08822i
$726$	14.9763	−	0.550713i	0.555823	−	0.0204389i
$727$	−8.45889	−	16.6015i	−0.313723	−	0.615716i	0.679270	−	0.733888i	$-0.262296\pi$
$727$	−8.45889	−	16.6015i	−0.313723	−	0.615716i	−0.992993	+	0.118172i	$0.962296\pi$
$728$	18.1574	−	2.87585i	0.672957	−	0.106586i
$729$	10.7076	−	24.7860i	0.396576	−	0.918002i
$730$	−1.31109	+	0.243873i	−0.0485255	+	0.00902614i
$731$	−13.9192	−	19.1581i	−0.514819	−	0.708588i
$732$	7.32548	+	6.80584i	0.270758	+	0.251551i
$733$	2.14436	+	0.339633i	0.0792038	+	0.0125446i	0.195911	−	0.980622i	$-0.437234\pi$
$733$	2.14436	+	0.339633i	0.0792038	+	0.0125446i	−0.116707	+	0.993166i	$0.537234\pi$
$734$	4.58254	+	14.1036i	0.169145	+	0.520574i
$735$	−13.1462	+	20.7495i	−0.484905	+	0.765357i
$736$	−1.96550	+	6.04917i	−0.0724491	+	0.222975i
$737$	−2.34541	+	4.60312i	−0.0863942	+	0.169558i
$738$	3.49352	−	8.31558i	0.128598	−	0.306101i
$739$	25.4696	+	8.27559i	0.936916	+	0.304423i	0.737388	−	0.675470i	$-0.236059\pi$
$739$	25.4696	+	8.27559i	0.936916	+	0.304423i	0.199528	+	0.979892i	$0.436059\pi$
$740$	−16.4641	−	4.86529i	−0.605231	−	0.178852i
$741$	−17.7498	+	6.49761i	−0.652057	+	0.238696i
$742$	−0.590418	+	3.72775i	−0.0216749	+	0.136850i
$743$	−30.8466	+	30.8466i	−1.13165	+	1.13165i	−0.141749	+	0.989903i	$0.545273\pi$
$743$	−30.8466	+	30.8466i	−1.13165	+	1.13165i	−0.989903	+	0.141749i	$0.954727\pi$
$744$	−7.86527	−	10.0288i	−0.288355	−	0.367674i
$745$	10.6417	+	10.0855i	0.389882	+	0.369505i
$746$	−10.1684	+	13.9956i	−0.372293	+	0.512417i
$747$	1.89765	+	8.08314i	0.0694315	+	0.295746i
$748$	−7.04042	+	3.58727i	−0.257423	+	0.131164i
$749$	9.15060			0.334356
$750$	0.771360	−	19.3495i	0.0281661	−	0.706546i
$751$	48.1007			1.75522			0.877610	−	0.479376i	$-0.159137\pi$
$751$	48.1007			1.75522			0.877610	+	0.479376i	$0.159137\pi$
$752$	−2.54140	+	1.29491i	−0.0926753	+	0.0472204i
$753$	−4.55370	−	23.1977i	−0.165946	−	0.845370i
$754$	−20.6537	+	28.4274i	−0.752163	+	1.03526i
$755$	1.73039	+	1.63996i	0.0629755	+	0.0596842i
$756$	12.7782	+	14.0342i	0.464737	+	0.510420i
$757$	2.64953	−	2.64953i	0.0962989	−	0.0962989i	−0.657316	−	0.753615i	$-0.728308\pi$
$757$	2.64953	−	2.64953i	0.0962989	−	0.0962989i	0.753615	+	0.657316i	$0.228308\pi$
$758$	−0.889598	+	5.61670i	−0.0323117	+	0.204008i
$759$	5.80246	+	15.8509i	0.210616	+	0.575350i
$760$	−4.64973	−	1.37404i	−0.168663	−	0.0498417i
$761$	−37.7032	−	12.2505i	−1.36674	−	0.444080i	−0.468452	−	0.883489i	$-0.655188\pi$
$761$	−37.7032	−	12.2505i	−1.36674	−	0.444080i	−0.898287	+	0.439409i	$0.855188\pi$
$762$	29.0308	+	13.4720i	1.05167	+	0.488038i
$763$	13.3553	−	26.2112i	0.483493	−	0.948909i
$764$	3.96247	−	12.1952i	0.143357	−	0.441208i
$765$	−29.8841	−	17.4286i	−1.08046	−	0.630133i
$766$	−9.38083	−	28.8712i	−0.338943	−	1.04316i
$767$	33.9101	+	5.37083i	1.22442	+	0.193929i
$768$	1.17891	−	1.26892i	0.0425403	−	0.0457883i
$769$	−13.8631	−	19.0810i	−0.499918	−	0.688078i	0.482261	−	0.876028i	$-0.339816\pi$
$769$	−13.8631	−	19.0810i	−0.499918	−	0.688078i	−0.982179	+	0.187950i	$0.939816\pi$
$770$	12.3034	−	2.28853i	0.443382	−	0.0824728i
$771$	29.0286	+	19.5020i	1.04544	+	0.702348i
$772$	−13.8267	+	2.18993i	−0.497632	+	0.0788172i
$773$	−18.8877	−	37.0692i	−0.679344	−	1.33329i	−0.930839	−	0.365429i	$-0.880922\pi$
$773$	−18.8877	−	37.0692i	−0.679344	−	1.33329i	0.251495	−	0.967859i	$-0.419078\pi$
$774$	13.7383	−	1.01175i	0.493814	−	0.0363665i
$775$	−23.1910	−	28.5629i	−0.833046	−	1.02601i
$776$		−	13.6841i		−	0.491231i
$777$	42.4405	−	23.6278i	1.52254	−	0.847644i
$778$	0.206293	+	1.30248i	0.00739595	+	0.0466962i
$779$	−5.27409	−	3.83185i	−0.188964	−	0.137290i
$780$	1.81982	−	19.4072i	0.0651601	−	0.694889i
$781$	−4.59923	+	3.34153i	−0.164573	+	0.119570i
$782$	23.1943	+	23.1943i	0.829428	+	0.829428i
$783$	−36.2382	−	1.69764i	−1.29505	−	0.0606686i
$784$	−6.03185	+	1.95987i	−0.215423	+	0.0699952i
$785$	48.4734	−	1.30070i	1.73009	−	0.0464240i
$786$	22.0977	+	6.29221i	0.788198	+	0.224436i
$787$	4.03430	+	2.05558i	0.143807	+	0.0732734i	0.524413	−	0.851464i	$-0.324285\pi$
$787$	4.03430	+	2.05558i	0.143807	+	0.0732734i	−0.380606	+	0.924737i	$0.624285\pi$
$788$	6.06547	+	3.09051i	0.216074	+	0.110095i
$789$	27.1432	+	7.72889i	0.966322	+	0.275156i
$790$	−2.35958	+	1.81299i	−0.0839500	+	0.0645034i
$791$	37.6892	−	12.2460i	1.34007	−	0.435416i
$792$	0.383678	−	4.58050i	0.0136334	−	0.162761i
$793$	20.5449	+	20.5449i	0.729571	+	0.729571i
$794$	8.98015	−	6.52446i	0.318693	−	0.231544i
$795$	3.67388	+	1.58656i	0.130299	+	0.0562694i
$796$	4.37266	+	3.17692i	0.154985	+	0.112603i
$797$	−2.04964	−	12.9409i	−0.0726021	−	0.458392i	−0.997029	−	0.0770316i	$-0.975456\pi$
$797$	−2.04964	−	12.9409i	−0.0726021	−	0.458392i	0.924427	−	0.381360i	$-0.124544\pi$
$798$	11.9859	−	6.67291i	0.424297	−	0.236218i
$799$			14.7096i			0.520387i
$800$	3.34084	−	3.72005i	0.118117	−	0.131524i
$801$	1.41848	+	19.2613i	0.0501195	+	0.680563i
$802$	17.4574	+	34.2621i	0.616443	+	1.20984i
$803$	−0.902532	+	0.142947i	−0.0318496	+	0.00504449i
$804$	−4.84772	−	3.25680i	−0.170966	−	0.114858i
$805$	−24.8181	−	45.6389i	−0.874725	−	1.60856i
$806$	−21.7682	−	29.9613i	−0.766752	−	1.05534i
$807$	−12.8792	+	13.8626i	−0.453370	+	0.487985i
$808$	0.144756	+	0.0229270i	0.00509248	+	0.000806570i
$809$	10.9215	+	33.6130i	0.383980	+	1.18177i	0.937217	+	0.348746i	$0.113392\pi$
$809$	10.9215	+	33.6130i	0.383980	+	1.18177i	−0.553237	+	0.833024i	$0.686608\pi$
$810$	17.7754	−	9.43579i	0.624565	−	0.331540i
$811$	0.0429712	−	0.132252i	0.00150892	−	0.00464399i	−0.950299	−	0.311338i	$-0.899223\pi$
$811$	0.0429712	−	0.132252i	0.00150892	−	0.00464399i	0.951808	+	0.306694i	$0.0992228\pi$
$812$	11.5777	−	22.7225i	0.406297	−	0.797403i
$813$	5.27548	+	2.44813i	0.185019	+	0.0858597i
$814$	−11.1879	−	3.63517i	−0.392135	−	0.127413i
$815$	−21.6669	+	7.68844i	−0.758960	+	0.269314i
$816$	−3.07058	−	8.38805i	−0.107492	−	0.293640i
$817$	1.55755	−	9.83400i	0.0544918	−	0.344048i
$818$	8.03693	−	8.03693i	0.281005	−	0.281005i
$819$	35.6065	+	42.1168i	1.24419	+	1.47168i
$820$	5.90606	−	3.21168i	0.206249	−	0.112157i
$821$	1.62196	−	2.23243i	0.0566067	−	0.0779125i	−0.779775	−	0.626060i	$-0.784667\pi$
$821$	1.62196	−	2.23243i	0.0566067	−	0.0779125i	0.836382	+	0.548147i	$0.184667\pi$
$822$	3.25655	+	16.5897i	0.113585	+	0.578631i
$823$	−18.0680	+	9.20610i	−0.629811	+	0.320905i	−0.739596	−	0.673051i	$-0.764984\pi$
$823$	−18.0680	+	9.20610i	−0.629811	+	0.320905i	0.109786	+	0.993955i	$0.464984\pi$
$824$	15.6235			0.544270
$825$	0.883997	−	13.2396i	0.0307768	−	0.460944i
$826$	−24.9175			−0.866992
$827$	−2.96720	+	1.51186i	−0.103180	+	0.0525726i	−0.504819	−	0.863225i	$-0.668441\pi$
$827$	−2.96720	+	1.51186i	−0.103180	+	0.0525726i	0.401639	+	0.915798i	$0.368441\pi$
$828$	−18.5764	+	4.36112i	−0.645574	+	0.151559i
$829$	−17.4925	+	24.0763i	−0.607539	+	0.836206i	−0.996372	−	0.0851024i	$-0.972878\pi$
$829$	−17.4925	+	24.0763i	−0.607539	+	0.836206i	0.388833	+	0.921308i	$0.372878\pi$
$830$	−2.66065	+	5.58748i	−0.0923527	+	0.193944i
$831$	−30.0014	−	38.2540i	−1.04074	−	1.32702i
$832$	3.55880	−	3.55880i	0.123379	−	0.123379i
$833$	−5.11663	+	32.3051i	−0.177281	+	1.11931i
$834$	7.90079	−	2.89221i	0.273582	−	0.100149i
$835$	32.8288	+	42.7261i	1.13609	+	1.47860i
$836$	−3.15965	−	1.02663i	−0.109279	−	0.0355068i
$837$	13.5042	−	35.7714i	0.466772	−	1.23644i
$838$	−2.28220	+	4.47907i	−0.0788374	+	0.154727i
$839$	−5.16619	+	15.8999i	−0.178357	+	0.548926i	−0.999771	−	0.0214067i	$-0.993186\pi$
$839$	−5.16619	+	15.8999i	−0.178357	+	0.548926i	0.821414	+	0.570332i	$0.193186\pi$
$840$	0.898888	+	14.1183i	0.0310146	+	0.487127i
$841$	6.10123	+	18.7776i	0.210387	+	0.647505i
$842$	−8.99583	−	1.42480i	−0.310017	−	0.0491018i
$843$	−0.901465	−	0.837518i	−0.0310481	−	0.0288457i
$844$	−7.52218	−	10.3534i	−0.258924	−	0.356379i
$845$	3.58104	−	27.3374i	0.123192	−	0.940434i
$846$	−7.27333	−	4.50757i	−0.250062	−	0.154973i
$847$	−31.2156	+	4.94407i	−1.07258	+	0.169880i
$848$	0.469093	+	0.920647i	0.0161087	+	0.0316152i
$849$	−15.9530	+	0.586627i	−0.547504	+	0.0201330i
$850$	−9.27188	−	24.0610i	−0.318023	−	0.825284i
$851$			48.8339i			1.67400i
$852$	−3.12604	−	5.61502i	−0.107096	−	0.192367i
$853$	−0.447638	−	2.82627i	−0.0153268	−	0.0967698i	0.978839	−	0.204632i	$-0.0655996\pi$
$853$	−0.447638	−	2.82627i	−0.0153268	−	0.0967698i	−0.994166	+	0.107862i	$0.965600\pi$
$854$	−17.0598	−	12.3946i	−0.583773	−	0.424136i
$855$	−3.70306	−	14.0662i	−0.126642	−	0.481055i
$856$	2.02672	−	1.47249i	0.0692717	−	0.0503288i
$857$	−8.27926	−	8.27926i	−0.282814	−	0.282814i	0.551416	−	0.834230i	$-0.314088\pi$
$857$	−8.27926	−	8.27926i	−0.282814	−	0.282814i	−0.834230	+	0.551416i	$0.814088\pi$
$858$	1.60322	−	13.2598i	0.0547330	−	0.452683i
$859$	21.3255	−	6.92908i	0.727617	−	0.236417i	0.0782946	−	0.996930i	$-0.475053\pi$
$859$	21.3255	−	6.92908i	0.727617	−	0.236417i	0.649323	+	0.760513i	$0.275053\pi$
$860$	8.46562	+	5.81020i	0.288675	+	0.198126i
$861$	−5.20919	+	18.2942i	−0.177529	+	0.623465i
$862$	22.0551	+	11.2377i	0.751201	+	0.382756i
$863$	−16.3658	−	8.33881i	−0.557100	−	0.283857i	0.152685	−	0.988275i	$-0.451208\pi$
$863$	−16.3658	−	8.33881i	−0.557100	−	0.283857i	−0.709785	+	0.704418i	$0.751208\pi$
$864$	5.08852	+	1.05213i	0.173115	+	0.0357942i
$865$	−15.2159	+	51.4904i	−0.517357	+	1.75073i
$866$	21.0928	−	6.85347i	0.716763	−	0.232890i
$867$	−16.5004	−	1.99504i	−0.560385	−	0.0677550i
$868$	19.0057	+	19.0057i	0.645097	+	0.645097i
$869$	−1.64955	+	1.19847i	−0.0559572	+	0.0406553i
$870$	−20.2964	−	17.8666i	−0.688112	−	0.605735i
$871$	−13.7290	−	9.97468i	−0.465188	−	0.337979i
$872$	−1.25986	−	7.95446i	−0.0426644	−	0.269372i
$873$	35.1103	−	21.2735i	1.18830	−	0.719999i
$874$			13.7915i			0.466505i
$875$	3.28316	+	40.7063i	0.110991	+	1.37612i
$876$	−0.0379595	−	1.03228i	−0.00128253	−	0.0348777i
$877$	−17.7609	−	34.8578i	−0.599744	−	1.17706i	−0.968844	−	0.247673i	$-0.920334\pi$
$877$	−17.7609	−	34.8578i	−0.599744	−	1.17706i	0.369100	−	0.929390i	$-0.379666\pi$
$878$	1.68299	−	0.266559i	0.0567981	−	0.00899594i
$879$	−2.70113	+	4.02061i	−0.0911069	+	0.135612i
$880$	2.35674	−	2.48670i	0.0794456	−	0.0838267i
$881$	−0.436643	−	0.600988i	−0.0147109	−	0.0202478i	0.801598	−	0.597863i	$-0.203983\pi$
$881$	−0.436643	−	0.600988i	−0.0147109	−	0.0202478i	−0.816309	+	0.577615i	$0.803983\pi$
$882$	−14.4058	−	12.4295i	−0.485067	−	0.418523i
$883$	−29.2220	−	4.62830i	−0.983397	−	0.155755i	−0.356027	−	0.934476i	$-0.615869\pi$
$883$	−29.2220	−	4.62830i	−0.983397	−	0.155755i	−0.627371	+	0.778721i	$0.715869\pi$
$884$	−8.02063	−	24.6849i	−0.269763	−	0.830245i
$885$	−6.55122	+	25.5951i	−0.220217	+	0.860369i
$886$	−0.311629	+	0.959097i	−0.0104694	+	0.0322215i
$887$	−26.7037	+	52.4089i	−0.896621	+	1.75972i	−0.307809	+	0.951448i	$0.599596\pi$
$887$	−26.7037	+	52.4089i	−0.896621	+	1.75972i	−0.588813	+	0.808270i	$0.700404\pi$
$888$	5.59776	−	12.0626i	0.187849	−	0.404795i
$889$	−64.1903	−	20.8567i	−2.15287	−	0.699511i
$890$	−8.14595	+	11.8689i	−0.273053	+	0.397846i
$891$	12.3490	−	6.13648i	0.413707	−	0.205580i
$892$	4.54190	−	28.6765i	0.152074	−	0.960159i
$893$	−4.37321	+	4.37321i	−0.146344	+	0.146344i
$894$	−8.93637	+	7.00851i	−0.298877	+	0.234400i
$895$	−1.84364	−	9.91163i	−0.0616263	−	0.331309i
$896$	−2.14701	+	2.95510i	−0.0717265	+	0.0987230i
$897$	−54.4075	+	10.6802i	−1.81661	+	0.356601i
$898$	11.0761	−	5.64357i	0.369616	−	0.188329i
$899$	−51.3743			−1.71343
$900$	14.7385	+	2.78859i	0.491284	+	0.0929531i
$901$	5.32868			0.177524
$902$	4.10448	−	2.09134i	0.136664	−	0.0696339i
$903$	−28.5071	+	5.59594i	−0.948655	+	0.186221i
$904$	6.37698	−	8.77715i	0.212095	−	0.291924i
$905$	−31.3530	−	4.10706i	−1.04221	−	0.136523i
$906$	−1.45310	+	1.13962i	−0.0482760	+	0.0378613i
$907$	−8.72011	+	8.72011i	−0.289547	+	0.289547i	−0.836901	−	0.547354i	$-0.815635\pi$
$907$	−8.72011	+	8.72011i	−0.289547	+	0.289547i	0.547354	+	0.836901i	$0.315635\pi$
$908$	−0.618172	+	3.90298i	−0.0205148	+	0.129525i
$909$	0.166213	+	0.407052i	0.00551295	+	0.0135011i
$910$	1.10264	+	41.0924i	0.0365523	+	1.36220i
$911$	35.6554	+	11.5852i	1.18132	+	0.383833i	0.832856	−	0.553490i	$-0.186704\pi$
$911$	35.6554	+	11.5852i	1.18132	+	0.383833i	0.348461	+	0.937323i	$0.386704\pi$
$912$	1.58090	−	3.40669i	0.0523489	−	0.112807i
$913$	−1.92515	+	3.77833i	−0.0637133	+	0.125044i
$914$	−11.1290	+	34.2516i	−0.368116	+	1.13294i
$915$	−17.2170	+	14.2649i	−0.569175	+	0.471583i
$916$	−4.07958	−	12.5556i	−0.134793	−	0.414850i
$917$	−47.8574	−	7.57987i	−1.58039	−	0.250309i
$918$	16.7482	−	20.9186i	0.552774	−	0.690416i
$919$	−17.9736	−	24.7386i	−0.592896	−	0.816051i	0.402139	−	0.915579i	$-0.368267\pi$
$919$	−17.9736	−	24.7386i	−0.592896	−	0.816051i	−0.995035	+	0.0995274i	$0.968267\pi$
$920$	−12.8409	−	6.11462i	−0.423353	−	0.201593i
$921$	16.0518	−	23.8930i	0.528925	−	0.787300i
$922$	−36.1413	+	5.72422i	−1.19025	+	0.188517i
$923$	−8.47779	−	16.6386i	−0.279050	−	0.547666i
$924$	0.356215	+	9.68706i	0.0117186	+	0.318681i
$925$	15.5687	−	35.0899i	0.511894	−	1.15375i
$926$		−	6.61685i		−	0.217443i
$927$	24.2885	+	40.0863i	0.797738	+	1.31661i
$928$	−1.09218	−	6.89573i	−0.0358525	−	0.226364i
$929$	0.652608	+	0.474147i	0.0214114	+	0.0155563i	0.598439	−	0.801168i	$-0.295788\pi$
$929$	0.652608	+	0.474147i	0.0214114	+	0.0155563i	−0.577028	+	0.816724i	$0.695788\pi$
$930$	24.5195	−	14.5256i	0.804025	−	0.476314i
$931$	−11.1256	+	8.08324i	−0.364628	+	0.264918i
$932$	−6.19799	−	6.19799i	−0.203022	−	0.203022i
$933$	5.97258	+	0.722133i	0.195534	+	0.0236416i
$934$	−36.3043	+	11.7960i	−1.18791	+	0.385976i
$935$	−5.90868	−	16.6514i	−0.193234	−	0.544557i
$936$	14.6636	+	3.59850i	0.479295	+	0.117621i
$937$	7.61042	+	3.87770i	0.248622	+	0.126679i	0.573861	−	0.818953i	$-0.305445\pi$
$937$	7.61042	+	3.87770i	0.248622	+	0.126679i	−0.325240	+	0.945632i	$0.605445\pi$
$938$	10.9738	+	5.59143i	0.358308	+	0.182567i
$939$	−4.02673	+	14.1415i	−0.131408	+	0.461492i
$940$	−2.13287	−	6.01069i	−0.0695666	−	0.196047i
$941$	−17.4242	+	5.66148i	−0.568014	+	0.184559i	−0.578924	−	0.815382i	$-0.696527\pi$
$941$	−17.4242	+	5.66148i	−0.568014	+	0.184559i	0.0109101	+	0.999940i	$0.496527\pi$
$942$	−4.50857	+	37.2893i	−0.146897	+	1.21495i
$943$	−13.5220	−	13.5220i	−0.440338	−	0.440338i
$944$	−5.51884	+	4.00967i	−0.179623	+	0.130504i
$945$	−34.8268	+	24.2548i	−1.13292	+	0.789009i
$946$	5.69187	+	4.13539i	0.185059	+	0.134453i
$947$	5.62455	+	35.5120i	0.182773	+	1.15398i	0.893015	+	0.450027i	$0.148586\pi$
$947$	5.62455	+	35.5120i	0.182773	+	1.15398i	−0.710242	+	0.703958i	$0.751414\pi$
$948$	−1.12118	−	2.01387i	−0.0364143	−	0.0654076i
$949$		−	3.00159i		−	0.0974356i
$950$	4.39685	−	9.90998i	0.142653	−	0.321522i
$951$	−17.0673	+	0.627603i	−0.553444	+	0.0203514i
$952$	8.55203	+	16.7843i	0.277173	+	0.543982i
$953$	12.2669	−	1.94289i	0.397365	−	0.0629365i	0.0454459	−	0.998967i	$-0.485529\pi$
$953$	12.2669	−	1.94289i	0.397365	−	0.0629365i	0.351919	+	0.936030i	$0.385529\pi$
$954$	−1.63291	+	2.63484i	−0.0528674	+	0.0853060i
$955$	25.8876	+	12.3272i	0.837702	+	0.398898i
$956$	11.1351	+	15.3261i	0.360133	+	0.495681i
$957$	−13.5739	−	12.6111i	−0.438783	−	0.407658i
$958$	−11.4985	−	1.82118i	−0.371500	−	0.0588397i
$959$	−11.0175	−	33.9085i	−0.355775	−	1.09496i
$960$	2.47097	+	2.98233i	0.0797503	+	0.0962543i
$961$	7.15266	−	22.0136i	0.230731	−	0.710117i
$962$	17.5427	−	34.4295i	0.565600	−	1.11005i
$963$	6.92884	+	2.91092i	0.223279	+	0.0938032i
$964$	−22.3583	−	7.26464i	−0.720111	−	0.233978i
$965$	−0.839653	−	31.2915i	−0.0270294	−	1.00731i
$966$	37.7883	−	13.8330i	1.21582	−	0.445070i
$967$	0.835271	−	5.27370i	0.0268605	−	0.169591i	−0.970611	−	0.240652i	$-0.922639\pi$
$967$	0.835271	−	5.27370i	0.0268605	−	0.169591i	0.997472	+	0.0710616i	$0.0226387\pi$
$968$	−6.11819	+	6.11819i	−0.196646	+	0.196646i
$969$	−11.9525	−	15.2403i	−0.383970	−	0.489590i
$970$	30.3394	+	3.97429i	0.974140	+	0.127607i
$971$	−33.9216	+	46.6890i	−1.08859	+	1.49832i	−0.238902	+	0.971044i	$0.576788\pi$
$971$	−33.9216	+	46.6890i	−1.08859	+	1.49832i	−0.849693	+	0.527278i	$0.823212\pi$
$972$	5.21116	+	14.6916i	0.167148	+	0.471234i
$973$	−15.8093	+	8.05524i	−0.506823	+	0.258239i
$974$	35.5211			1.13817
$975$	42.4997	+	9.67124i	1.36108	+	0.309727i
$976$	−5.77299			−0.184789
$977$	−9.19137	+	4.68324i	−0.294058	+	0.149830i	−0.594796	−	0.803877i	$-0.702767\pi$
$977$	−9.19137	+	4.68324i	−0.294058	+	0.149830i	0.300738	+	0.953707i	$0.402767\pi$
$978$	−3.43033	−	17.4750i	−0.109690	−	0.558787i
$979$	−5.79785	+	7.98005i	−0.185300	+	0.255043i
$980$	−2.59343	−	13.9426i	−0.0828442	−	0.445379i
$981$	18.4507	−	15.5986i	0.589086	−	0.498026i
$982$	−2.36943	+	2.36943i	−0.0756116	+	0.0756116i
$983$	6.30178	−	39.7879i	0.200996	−	1.26904i	−0.656413	−	0.754401i	$-0.727927\pi$
$983$	6.30178	−	39.7879i	0.200996	−	1.26904i	0.857409	−	0.514635i	$-0.172073\pi$
$984$	1.79011	+	4.89013i	0.0570666	+	0.155892i
$985$	−8.61366	+	12.5503i	−0.274454	+	0.399887i
$986$	−34.2432	−	11.1263i	−1.09053	−	0.354333i
$987$	16.3688	+	7.59608i	0.521024	+	0.241786i
$988$	4.95436	−	9.72349i	0.157619	−	0.309345i
$989$	9.02525	−	27.7769i	0.286986	−	0.883253i
$990$	10.0441	+	2.18098i	0.319223	+	0.0693162i
$991$	−7.61373	−	23.4326i	−0.241858	−	0.744362i	−0.996137	−	0.0878088i	$-0.972014\pi$
$991$	−7.61373	−	23.4326i	−0.241858	−	0.744362i	0.754279	−	0.656554i	$-0.227986\pi$
$992$	7.26784	+	1.15111i	0.230754	+	0.0365478i
$993$	19.5108	−	21.0005i	0.619158	−	0.666432i
$994$	7.96619	+	10.9645i	0.252672	+	0.347773i
$995$	−8.31360	+	8.77206i	−0.263559	+	0.278093i
$996$	−3.97909	−	2.67324i	−0.126082	−	0.0847048i
$997$	36.6391	−	5.80306i	1.16037	−	0.183785i	0.453585	−	0.891213i	$-0.350145\pi$
$997$	36.6391	−	5.80306i	1.16037	−	0.183785i	0.706785	+	0.707428i	$0.250145\pi$
$998$	−1.16399	−	2.28445i	−0.0368454	−	0.0723131i
$999$	39.6523	−	4.39015i	1.25454	−	0.138898i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	150.2.l.a.53.6	yes	80
3.2	odd	2	inner	150.2.l.a.53.5	yes	80
5.2	odd	4		750.2.l.c.257.9		80
5.3	odd	4		750.2.l.a.257.2		80
5.4	even	2		750.2.l.b.743.5		80
15.2	even	4		750.2.l.c.257.3		80
15.8	even	4		750.2.l.a.257.8		80
15.14	odd	2		750.2.l.b.743.6		80
25.6	even	5		750.2.l.c.143.3		80
25.8	odd	20		750.2.l.b.107.6		80
25.17	odd	20	inner	150.2.l.a.17.5	✓	80
25.19	even	10		750.2.l.a.143.8		80
75.8	even	20		750.2.l.b.107.5		80
75.17	even	20	inner	150.2.l.a.17.6	yes	80
75.44	odd	10		750.2.l.a.143.2		80
75.56	odd	10		750.2.l.c.143.9		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
150.2.l.a.17.5	✓	80	25.17	odd	20	inner
150.2.l.a.17.6	yes	80	75.17	even	20	inner
150.2.l.a.53.5	yes	80	3.2	odd	2	inner
150.2.l.a.53.6	yes	80	1.1	even	1	trivial
750.2.l.a.143.2		80	75.44	odd	10
750.2.l.a.143.8		80	25.19	even	10
750.2.l.a.257.2		80	5.3	odd	4
750.2.l.a.257.8		80	15.8	even	4
750.2.l.b.107.5		80	75.8	even	20
750.2.l.b.107.6		80	25.8	odd	20
750.2.l.b.743.5		80	5.4	even	2
750.2.l.b.743.6		80	15.14	odd	2
750.2.l.c.143.3		80	25.6	even	5
750.2.l.c.143.9		80	75.56	odd	10
750.2.l.c.257.3		80	15.2	even	4
750.2.l.c.257.9		80	5.2	odd	4

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:	\( N \)	\(=\)	\( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	150.l (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.891007 - 0.453990i) q^{2} +(-1.69961 + 0.333634i) q^{3} +(0.587785 - 0.809017i) q^{4} +(1.62298 + 1.53816i) q^{5} +(-1.36290 + 1.06888i) q^{6} +(2.58285 - 2.58285i) q^{7} +(0.156434 - 0.987688i) q^{8} +(2.77738 - 1.13410i) q^{9} +O(q^{10})\)	\(q+(0.891007 - 0.453990i) q^{2} +(-1.69961 + 0.333634i) q^{3} +(0.587785 - 0.809017i) q^{4} +(1.62298 + 1.53816i) q^{5} +(-1.36290 + 1.06888i) q^{6} +(2.58285 - 2.58285i) q^{7} +(0.156434 - 0.987688i) q^{8} +(2.77738 - 1.13410i) q^{9} +(2.14440 + 0.633691i) q^{10} +(1.45719 + 0.473470i) q^{11} +(-0.729092 + 1.57112i) q^{12} +(-2.28489 + 4.48435i) q^{13} +(1.12875 - 3.47393i) q^{14} +(-3.27162 - 2.07279i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(-5.09363 - 0.806752i) q^{17} +(1.95979 - 2.27139i) q^{18} +(-1.27450 - 1.75421i) q^{19} +(2.19836 - 0.408913i) q^{20} +(-3.52813 + 5.25158i) q^{21} +(1.51332 - 0.239686i) q^{22} +(-2.88760 - 5.66723i) q^{23} +(0.0636485 + 1.73088i) q^{24} +(0.268140 + 4.99280i) q^{25} +5.03290i q^{26} +(-4.34209 + 2.85416i) q^{27} +(-0.571409 - 3.60774i) q^{28} +(5.64831 + 4.10373i) q^{29} +(-3.85607 - 0.361585i) q^{30} +(-5.95310 + 4.32518i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-2.63463 - 0.318547i) q^{33} +(-4.90472 + 1.59364i) q^{34} +(8.16476 - 0.219087i) q^{35} +(0.714995 - 2.91355i) q^{36} +(-6.84089 - 3.48561i) q^{37} +(-1.93198 - 0.984395i) q^{38} +(2.38730 - 8.38398i) q^{39} +(1.77311 - 1.36238i) q^{40} +(2.85939 - 0.929072i) q^{41} +(-0.759414 + 6.28093i) q^{42} +(3.24693 + 3.24693i) q^{43} +(1.23956 - 0.900593i) q^{44} +(6.25205 + 2.43142i) q^{45} +(-5.14573 - 3.73859i) q^{46} +(-0.446195 - 2.81716i) q^{47} +(0.842515 + 1.51333i) q^{48} -6.34226i q^{49} +(2.50560 + 4.32689i) q^{50} +(8.92637 - 0.328243i) q^{51} +(2.28489 + 4.48435i) q^{52} +(-1.02055 + 0.161639i) q^{53} +(-2.57307 + 4.51434i) q^{54} +(1.63672 + 3.00982i) q^{55} +(-2.14701 - 2.95510i) q^{56} +(2.75143 + 2.55625i) q^{57} +(6.89573 + 1.09218i) q^{58} +(-2.10801 - 6.48779i) q^{59} +(-3.59994 + 1.42844i) q^{60} +(1.78395 - 5.49044i) q^{61} +(-3.34066 + 6.55641i) q^{62} +(4.24434 - 10.1028i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(-10.6060 + 3.76349i) q^{65} +(-2.49209 + 0.912268i) q^{66} +(-0.527466 + 3.33029i) q^{67} +(-3.64664 + 3.64664i) q^{68} +(6.79858 + 8.66870i) q^{69} +(7.17539 - 3.90193i) q^{70} +(-2.18090 + 3.00175i) q^{71} +(-0.685659 - 2.92059i) q^{72} +(-0.531390 + 0.270757i) q^{73} -7.67771 q^{74} +(-2.12150 - 8.39638i) q^{75} -2.16832 q^{76} +(4.98661 - 2.54081i) q^{77} +(-1.67915 - 8.55399i) q^{78} +(-0.782199 + 1.07660i) q^{79} +(0.961346 - 2.01886i) q^{80} +(6.42764 - 6.29964i) q^{81} +(2.12595 - 2.12595i) q^{82} +(-0.432953 + 2.73356i) q^{83} +(2.17484 + 5.94112i) q^{84} +(-7.02596 - 9.14415i) q^{85} +(4.36710 + 1.41896i) q^{86} +(-10.9691 - 5.09030i) q^{87} +(0.695596 - 1.36518i) q^{88} +(-1.98939 + 6.12272i) q^{89} +(6.67446 - 0.671961i) q^{90} +(5.68088 + 17.4839i) q^{91} +(-6.28217 - 0.994998i) q^{92} +(8.67494 - 9.33729i) q^{93} +(-1.67653 - 2.30754i) q^{94} +(0.629747 - 4.80743i) q^{95} +(1.43772 + 0.965894i) q^{96} +(13.5156 - 2.14067i) q^{97} +(-2.87933 - 5.65100i) q^{98} +(4.58413 - 0.337594i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 4 q^{3} + 4 q^{7}+O(q^{10}) \) 80 * q + 4 * q^3 + 4 * q^7	\( 80 q + 4 q^{3} + 4 q^{7} - 4 q^{10} - 4 q^{12} - 8 q^{15} + 20 q^{16} - 8 q^{18} - 40 q^{19} - 36 q^{22} - 104 q^{25} + 4 q^{27} - 16 q^{28} + 12 q^{30} + 4 q^{33} - 40 q^{34} - 24 q^{37} - 40 q^{39} - 8 q^{40} - 4 q^{42} - 24 q^{43} - 72 q^{45} - 4 q^{48} - 12 q^{55} - 64 q^{57} + 20 q^{58} + 24 q^{60} + 64 q^{63} + 96 q^{67} + 140 q^{69} + 76 q^{70} + 8 q^{72} + 100 q^{73} + 132 q^{75} + 100 q^{78} + 80 q^{79} - 40 q^{81} + 96 q^{82} + 60 q^{84} + 32 q^{85} + 80 q^{87} + 4 q^{88} + 52 q^{90} + 12 q^{93} - 32 q^{97}+O(q^{100}) \) 80 * q + 4 * q^3 + 4 * q^7 - 4 * q^10 - 4 * q^12 - 8 * q^15 + 20 * q^16 - 8 * q^18 - 40 * q^19 - 36 * q^22 - 104 * q^25 + 4 * q^27 - 16 * q^28 + 12 * q^30 + 4 * q^33 - 40 * q^34 - 24 * q^37 - 40 * q^39 - 8 * q^40 - 4 * q^42 - 24 * q^43 - 72 * q^45 - 4 * q^48 - 12 * q^55 - 64 * q^57 + 20 * q^58 + 24 * q^60 + 64 * q^63 + 96 * q^67 + 140 * q^69 + 76 * q^70 + 8 * q^72 + 100 * q^73 + 132 * q^75 + 100 * q^78 + 80 * q^79 - 40 * q^81 + 96 * q^82 + 60 * q^84 + 32 * q^85 + 80 * q^87 + 4 * q^88 + 52 * q^90 + 12 * q^93 - 32 * q^97

Introduction

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