LMFDB - Embedded newform 300.2.r.a.59.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(59,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 7]))

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

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

chi := DirichletCharacter("300.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.r (of order $10$, degree $4$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			59.16
Character	$\chi$	$=$	300.59
Dual form			300.2.r.a.239.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.932419 + 1.06329i) q^{2} +(-1.73059 + 0.0711045i) q^{3} +(-0.261191 - 1.98287i) q^{4} +(-1.84864 - 1.25798i) q^{5} +(1.53803 - 1.90643i) q^{6} -2.80461 q^{7} +(2.35192 + 1.57114i) q^{8} +(2.98989 - 0.246105i) q^{9} +O(q^{10})$	\(q+(-0.932419 + 1.06329i) q^{2} +(-1.73059 + 0.0711045i) q^{3} +(-0.261191 - 1.98287i) q^{4} +(-1.84864 - 1.25798i) q^{5} +(1.53803 - 1.90643i) q^{6} -2.80461 q^{7} +(2.35192 + 1.57114i) q^{8} +(2.98989 - 0.246105i) q^{9} +(3.06132 - 0.792685i) q^{10} +(1.50008 + 1.08987i) q^{11} +(0.593005 + 3.41297i) q^{12} +(2.01229 + 2.76969i) q^{13} +(2.61507 - 2.98213i) q^{14} +(3.28869 + 2.04561i) q^{15} +(-3.86356 + 1.03582i) q^{16} +(0.345387 - 1.06299i) q^{17} +(-2.52615 + 3.40861i) q^{18} +(7.11064 + 2.31039i) q^{19} +(-2.01157 + 3.99419i) q^{20} +(4.85363 - 0.199420i) q^{21} +(-2.55756 + 0.578810i) q^{22} +(1.23722 - 1.70289i) q^{23} +(-4.18192 - 2.55177i) q^{24} +(1.83496 + 4.65112i) q^{25} +(-4.82129 - 0.442845i) q^{26} +(-5.15677 + 0.638502i) q^{27} +(0.732538 + 5.56118i) q^{28} +(3.56932 - 1.15974i) q^{29} +(-5.24152 + 1.58949i) q^{30} +(-8.53887 - 2.77445i) q^{31} +(2.50108 - 5.07391i) q^{32} +(-2.67352 - 1.77946i) q^{33} +(0.808228 + 1.35840i) q^{34} +(5.18472 + 3.52815i) q^{35} +(-1.26893 - 5.86428i) q^{36} +(4.97454 + 6.84687i) q^{37} +(-9.08672 + 5.40646i) q^{38} +(-3.67939 - 4.65011i) q^{39} +(-2.37138 - 5.86315i) q^{40} +(3.81439 + 5.25005i) q^{41} +(-4.31358 + 5.34679i) q^{42} +7.87791 q^{43} +(1.76927 - 3.25913i) q^{44} +(-5.83683 - 3.30627i) q^{45} +(0.657066 + 2.90334i) q^{46} +(0.999744 - 0.324837i) q^{47} +(6.61259 - 2.06729i) q^{48} +0.865841 q^{49} +(-6.65646 - 2.38569i) q^{50} +(-0.522140 + 1.86416i) q^{51} +(4.96634 - 4.71354i) q^{52} +(-0.595625 - 1.83314i) q^{53} +(4.12936 - 6.07852i) q^{54} +(-1.40207 - 3.90186i) q^{55} +(-6.59621 - 4.40645i) q^{56} +(-12.4699 - 3.49274i) q^{57} +(-2.09495 + 4.87660i) q^{58} +(6.91365 - 5.02306i) q^{59} +(3.19720 - 7.05535i) q^{60} +(-0.730226 - 0.530540i) q^{61} +(10.9119 - 6.49239i) q^{62} +(-8.38547 + 0.690230i) q^{63} +(3.06301 + 7.39040i) q^{64} +(-0.235797 - 7.65159i) q^{65} +(4.38493 - 1.18354i) q^{66} +(-0.462733 + 1.42415i) q^{67} +(-2.19799 - 0.407214i) q^{68} +(-2.02005 + 3.03498i) q^{69} +(-8.58580 + 2.22317i) q^{70} +(1.11003 + 3.41631i) q^{71} +(7.41863 + 4.11872i) q^{72} +(7.45432 - 10.2600i) q^{73} +(-11.9186 - 1.09475i) q^{74} +(-3.50628 - 7.91871i) q^{75} +(2.72397 - 14.7029i) q^{76} +(-4.20714 - 3.05667i) q^{77} +(8.37517 + 0.423568i) q^{78} +(4.76272 - 1.54750i) q^{79} +(8.44538 + 2.94544i) q^{80} +(8.87886 - 1.47166i) q^{81} +(-9.13896 - 0.839431i) q^{82} +(5.84619 + 1.89954i) q^{83} +(-1.66315 - 9.57204i) q^{84} +(-1.97572 + 1.53060i) q^{85} +(-7.34551 + 8.37654i) q^{86} +(-6.09457 + 2.26083i) q^{87} +(1.81572 + 4.92013i) q^{88} +(-9.96050 + 13.7094i) q^{89} +(8.95791 - 3.12345i) q^{90} +(-5.64370 - 7.76789i) q^{91} +(-3.69977 - 2.00848i) q^{92} +(14.9746 + 4.19428i) q^{93} +(-0.586783 + 1.36591i) q^{94} +(-10.2386 - 13.2161i) q^{95} +(-3.96756 + 8.95871i) q^{96} +(-16.7757 + 5.45075i) q^{97} +(-0.807327 + 0.920644i) q^{98} +(4.75330 + 2.88942i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−0.932419	+	1.06329i	−0.659320	+	0.751863i
$2$	−0.932419	+	1.06329i	−0.659320	+	0.751863i
$3$	−1.73059	+	0.0711045i	−0.999157	+	0.0410522i
$3$	−1.73059	+	0.0711045i	−0.999157	+	0.0410522i
$4$	−0.261191	−	1.98287i	−0.130595	−	0.991436i
$5$	−1.84864	−	1.25798i	−0.826738	−	0.562587i
$5$	−1.84864	−	1.25798i	−0.826738	−	0.562587i
$6$	1.53803	−	1.90643i	0.627898	−	0.778296i
$7$	−2.80461			−1.06004			−0.530022	−	0.847984i	$-0.677816\pi$
$7$	−2.80461			−1.06004			−0.530022	+	0.847984i	$0.677816\pi$
$8$	2.35192	+	1.57114i	0.831528	+	0.555483i
$9$	2.98989	−	0.246105i	0.996629	−	0.0820352i
$10$	3.06132	−	0.792685i	0.968073	−	0.250669i
$11$	1.50008	+	1.08987i	0.452291	+	0.328609i	0.790500	−	0.612462i	$-0.209821\pi$
$11$	1.50008	+	1.08987i	0.452291	+	0.328609i	−0.338209	+	0.941071i	$0.609821\pi$
$12$	0.593005	+	3.41297i	0.171186	+	0.985239i
$13$	2.01229	+	2.76969i	0.558110	+	0.768173i	0.991085	−	0.133234i	$-0.0425360\pi$
$13$	2.01229	+	2.76969i	0.558110	+	0.768173i	−0.432975	+	0.901406i	$0.642536\pi$
$14$	2.61507	−	2.98213i	0.698907	−	0.797007i
$15$	3.28869	+	2.04561i	0.849137	+	0.528173i
$16$	−3.86356	+	1.03582i	−0.965890	+	0.258954i
$17$	0.345387	−	1.06299i	0.0837686	−	0.257813i	−0.900396	−	0.435072i	$-0.856723\pi$
$17$	0.345387	−	1.06299i	0.0837686	−	0.257813i	0.984164	+	0.177259i	$0.0567229\pi$
$18$	−2.52615	+	3.40861i	−0.595418	+	0.803416i
$19$	7.11064	+	2.31039i	1.63129	+	0.530039i	0.974568	−	0.224090i	$-0.0719411\pi$
$19$	7.11064	+	2.31039i	1.63129	+	0.530039i	0.656725	+	0.754130i	$0.271941\pi$
$20$	−2.01157	+	3.99419i	−0.449801	+	0.893129i
$21$	4.85363	−	0.199420i	1.05915	−	0.0435171i
$22$	−2.55756	+	0.578810i	−0.545273	+	0.123403i
$23$	1.23722	−	1.70289i	0.257979	−	0.355078i	−0.660307	−	0.750996i	$-0.729574\pi$
$23$	1.23722	−	1.70289i	0.257979	−	0.355078i	0.918286	+	0.395918i	$0.129574\pi$
$24$	−4.18192	−	2.55177i	−0.853631	−	0.520879i
$25$	1.83496	+	4.65112i	0.366992	+	0.930224i
$26$	−4.82129	−	0.442845i	−0.945533	−	0.0868490i
$27$	−5.15677	+	0.638502i	−0.992422	+	0.122880i
$28$	0.732538	+	5.56118i	0.138437	+	1.05096i
$29$	3.56932	−	1.15974i	0.662806	−	0.215359i	0.0417538	−	0.999128i	$-0.486706\pi$
$29$	3.56932	−	1.15974i	0.662806	−	0.215359i	0.621052	+	0.783769i	$0.286706\pi$
$30$	−5.24152	+	1.58949i	−0.956966	+	0.290199i
$31$	−8.53887	−	2.77445i	−1.53363	−	0.498306i	−0.584018	−	0.811741i	$-0.698520\pi$
$31$	−8.53887	−	2.77445i	−1.53363	−	0.498306i	−0.949610	+	0.313435i	$0.898520\pi$
$32$	2.50108	−	5.07391i	0.442132	−	0.896950i
$33$	−2.67352	−	1.77946i	−0.465400	−	0.309764i
$34$	0.808228	+	1.35840i	0.138610	+	0.232964i
$35$	5.18472	+	3.52815i	0.876378	+	0.596366i
$36$	−1.26893	−	5.86428i	−0.211488	−	0.977381i
$37$	4.97454	+	6.84687i	0.817809	+	1.12562i	0.990071	+	0.140567i	$0.0448924\pi$
$37$	4.97454	+	6.84687i	0.817809	+	1.12562i	−0.172262	+	0.985051i	$0.555108\pi$
$38$	−9.08672	+	5.40646i	−1.47406	+	0.877044i
$39$	−3.67939	−	4.65011i	−0.589175	−	0.744613i
$40$	−2.37138	−	5.86315i	−0.374948	−	0.927046i
$41$	3.81439	+	5.25005i	0.595707	+	0.819921i	0.995307	−	0.0967691i	$-0.0308509\pi$
$41$	3.81439	+	5.25005i	0.595707	+	0.819921i	−0.399600	+	0.916690i	$0.630851\pi$
$42$	−4.31358	+	5.34679i	−0.665599	+	0.825027i
$43$	7.87791			1.20137			0.600685	−	0.799486i	$-0.294895\pi$
$43$	7.87791			1.20137			0.600685	+	0.799486i	$0.294895\pi$
$44$	1.76927	−	3.25913i	0.266727	−	0.491332i
$45$	−5.83683	−	3.30627i	−0.870103	−	0.492869i
$46$	0.657066	+	2.90334i	0.0968791	+	0.428075i
$47$	0.999744	−	0.324837i	0.145828	−	0.0473823i	−0.235194	−	0.971949i	$-0.575572\pi$
$47$	0.999744	−	0.324837i	0.145828	−	0.0473823i	0.381021	+	0.924566i	$0.375572\pi$
$48$	6.61259	−	2.06729i	0.954445	−	0.298387i
$49$	0.865841			0.123692
$50$	−6.65646	−	2.38569i	−0.941366	−	0.337387i
$51$	−0.522140	+	1.86416i	−0.0731142	+	0.261035i
$52$	4.96634	−	4.71354i	0.688707	−	0.653650i
$53$	−0.595625	−	1.83314i	−0.0818153	−	0.251802i	0.901779	−	0.432198i	$-0.142262\pi$
$53$	−0.595625	−	1.83314i	−0.0818153	−	0.251802i	−0.983594	+	0.180396i	$0.942262\pi$
$54$	4.12936	−	6.07852i	0.561934	−	0.827182i
$55$	−1.40207	−	3.90186i	−0.189055	−	0.526127i
$56$	−6.59621	−	4.40645i	−0.881455	−	0.588836i
$57$	−12.4699	−	3.49274i	−1.65168	−	0.462624i
$58$	−2.09495	+	4.87660i	−0.275081	+	0.640329i
$59$	6.91365	−	5.02306i	0.900081	−	0.653947i	−0.0384059	−	0.999262i	$-0.512228\pi$
$59$	6.91365	−	5.02306i	0.900081	−	0.653947i	0.938487	+	0.345315i	$0.112228\pi$
$60$	3.19720	−	7.05535i	0.412756	−	0.910841i
$61$	−0.730226	−	0.530540i	−0.0934959	−	0.0679287i	0.540055	−	0.841630i	$-0.318403\pi$
$61$	−0.730226	−	0.530540i	−0.0934959	−	0.0679287i	−0.633551	+	0.773701i	$0.718403\pi$
$62$	10.9119	−	6.49239i	1.38581	−	0.824535i
$63$	−8.38547	+	0.690230i	−1.05647	+	0.0869608i
$64$	3.06301	+	7.39040i	0.382877	+	0.923799i
$65$	−0.235797	−	7.65159i	−0.0292470	−	0.949063i
$66$	4.38493	−	1.18354i	0.539748	−	0.145683i
$67$	−0.462733	+	1.42415i	−0.0565319	+	0.173987i	−0.975335	−	0.220728i	$-0.929157\pi$
$67$	−0.462733	+	1.42415i	−0.0565319	+	0.173987i	0.918804	+	0.394715i	$0.129157\pi$
$68$	−2.19799	−	0.407214i	−0.266545	−	0.0493820i
$69$	−2.02005	+	3.03498i	−0.243185	+	0.365369i
$70$	−8.58580	+	2.22317i	−1.02620	+	0.265720i
$71$	1.11003	+	3.41631i	0.131736	+	0.405442i	0.995068	−	0.0991946i	$-0.0316266\pi$
$71$	1.11003	+	3.41631i	0.131736	+	0.405442i	−0.863332	+	0.504636i	$0.831627\pi$
$72$	7.41863	+	4.11872i	0.874294	+	0.485396i
$73$	7.45432	−	10.2600i	0.872462	−	1.20084i	−0.105990	−	0.994367i	$-0.533801\pi$
$73$	7.45432	−	10.2600i	0.872462	−	1.20084i	0.978452	−	0.206474i	$-0.0661987\pi$
$74$	−11.9186	−	1.09475i	−1.38551	−	0.127262i
$75$	−3.50628	−	7.91871i	−0.404870	−	0.914374i
$76$	2.72397	−	14.7029i	0.312461	−	1.68654i
$77$	−4.20714	−	3.05667i	−0.479448	−	0.348340i
$78$	8.37517	+	0.423568i	0.948301	+	0.0479596i
$79$	4.76272	−	1.54750i	0.535848	−	0.174108i	−0.0285776	−	0.999592i	$-0.509098\pi$
$79$	4.76272	−	1.54750i	0.535848	−	0.174108i	0.564425	+	0.825484i	$0.309098\pi$
$80$	8.44538	+	2.94544i	0.944222	+	0.329310i
$81$	8.87886	−	1.47166i	0.986540	−	0.163517i
$82$	−9.13896	−	0.839431i	−1.00923	−	0.0926996i
$83$	5.84619	+	1.89954i	0.641703	+	0.208502i	0.611752	−	0.791050i	$-0.290465\pi$
$83$	5.84619	+	1.89954i	0.641703	+	0.208502i	0.0299505	+	0.999551i	$0.490465\pi$
$84$	−1.66315	−	9.57204i	−0.181464	−	1.04440i
$85$	−1.97572	+	1.53060i	−0.214297	+	0.166017i
$86$	−7.34551	+	8.37654i	−0.792087	+	0.903266i
$87$	−6.09457	+	2.26083i	−0.653406	+	0.242387i
$88$	1.81572	+	4.92013i	0.193556	+	0.524488i
$89$	−9.96050	+	13.7094i	−1.05581	+	1.45320i	−0.172150	+	0.985071i	$0.555071\pi$
$89$	−9.96050	+	13.7094i	−1.05581	+	1.45320i	−0.883661	+	0.468128i	$0.844929\pi$
$90$	8.95791	−	3.12345i	0.944246	−	0.329240i
$91$	−5.64370	−	7.76789i	−0.591621	−	0.814296i
$92$	−3.69977	−	2.00848i	−0.385728	−	0.209398i
$93$	14.9746	+	4.19428i	1.55279	+	0.434927i
$94$	−0.586783	+	1.36591i	−0.0605221	+	0.140882i
$95$	−10.2386	−	13.2161i	−1.05046	−	1.35595i
$96$	−3.96756	+	8.95871i	−0.404938	+	0.914344i
$97$	−16.7757	+	5.45075i	−1.70331	+	0.553440i	−0.989198	−	0.146588i	$-0.953171\pi$
$97$	−16.7757	+	5.45075i	−1.70331	+	0.553440i	−0.714115	+	0.700028i	$0.753171\pi$
$98$	−0.807327	+	0.920644i	−0.0815523	+	0.0929991i
$99$	4.75330	+	2.88942i	0.477724	+	0.290397i
$100$	8.74330	−	4.85332i	0.874330	−	0.485332i
$101$			6.81866i			0.678482i	0.940700	+	0.339241i	$0.110170\pi$
$101$			6.81866i			0.678482i	−0.940700	+	0.339241i	$0.889830\pi$
$102$	−1.49530	−	2.29337i	−0.148057	−	0.227077i
$103$	4.18192	+	12.8706i	0.412057	+	1.26818i	0.914857	+	0.403778i	$0.132303\pi$
$103$	4.18192	+	12.8706i	0.412057	+	1.26818i	−0.502800	+	0.864403i	$0.667697\pi$
$104$	0.381173	+	9.67567i	0.0373771	+	0.948777i
$105$	−9.22350	−	5.73713i	−0.900122	−	0.559886i
$106$	2.50454	+	1.07593i	0.243263	+	0.104504i
$107$			9.81778i			0.949120i	0.880223	+	0.474560i	$0.157393\pi$
$107$			9.81778i			0.949120i	−0.880223	+	0.474560i	$0.842607\pi$
$108$	2.61297	+	10.0584i	0.251433	+	0.967875i
$109$	1.78582	−	1.29748i	0.171051	−	0.124276i	−0.498966	−	0.866622i	$-0.666287\pi$
$109$	1.78582	−	1.29748i	0.171051	−	0.124276i	0.670017	+	0.742346i	$0.266287\pi$
$110$	5.45614	+	2.14735i	0.520223	+	0.204742i
$111$	−9.09573	−	11.4954i	−0.863329	−	1.09110i
$112$	10.8358	−	2.90506i	1.02388	−	0.274502i
$113$	12.5977	−	9.15275i	1.18509	−	0.861018i	0.192353	−	0.981326i	$-0.438388\pi$
$113$	12.5977	−	9.15275i	1.18509	−	0.861018i	0.992737	+	0.120308i	$0.0383881\pi$
$114$	15.3410	−	10.0025i	1.43681	−	0.936818i
$115$	−4.42940	+	1.59163i	−0.413043	+	0.148421i
$116$	−3.23189	−	6.77459i	−0.300074	−	0.629005i
$117$	6.69817	+	7.78581i	0.619246	+	0.719799i
$118$	−1.10542	+	12.0348i	−0.101762	+	1.10790i
$119$	−0.968675	+	2.98128i	−0.0887983	+	0.273293i
$120$	4.52079	+	9.97810i	0.412689	+	0.910872i
$121$	−2.33677	−	7.19183i	−0.212433	−	0.653803i
$122$	1.24500	−	0.281760i	0.112717	−	0.0255093i
$123$	−6.97445	−	8.81447i	−0.628865	−	0.794774i
$124$	−3.27110	+	17.6562i	−0.293753	+	1.58557i
$125$	2.45884	−	10.9066i	0.219926	−	0.975517i
$126$	7.08485	−	9.55981i	0.631169	−	0.851656i
$127$	1.96048	+	1.42437i	0.173964	+	0.126392i	0.671360	−	0.741131i	$-0.265710\pi$
$127$	1.96048	+	1.42437i	0.173964	+	0.126392i	−0.497396	+	0.867524i	$0.665710\pi$
$128$	−10.7142	−	3.63406i	−0.947009	−	0.321208i
$129$	−13.6334	+	0.560155i	−1.20036	+	0.0493189i
$130$	8.35576	+	6.88376i	0.732848	+	0.603746i
$131$	−1.27975	+	3.93867i	−0.111812	+	0.344123i	−0.991269	−	0.131856i	$-0.957906\pi$
$131$	−1.27975	+	3.93867i	−0.111812	+	0.344123i	0.879457	+	0.475979i	$0.157906\pi$
$132$	−2.83014	+	5.76602i	−0.246332	+	0.501868i
$133$	−19.9426	−	6.47974i	−1.72924	−	0.561865i
$134$	−1.08283	−	1.81992i	−0.0935419	−	0.157217i
$135$	10.3363	+	5.30677i	0.889603	+	0.456734i
$136$	2.48243	−	1.95741i	0.212867	−	0.167847i
$137$	−2.61762	+	1.90181i	−0.223638	+	0.162483i	−0.693963	−	0.720011i	$-0.744137\pi$
$137$	−2.61762	+	1.90181i	−0.223638	+	0.162483i	0.470325	+	0.882494i	$0.344137\pi$
$138$	−1.34355	−	4.97778i	−0.114371	−	0.423737i
$139$	−4.14436	+	5.70423i	−0.351520	+	0.483826i	−0.947762	−	0.318979i	$-0.896660\pi$
$139$	−4.14436	+	5.70423i	−0.351520	+	0.483826i	0.596241	+	0.802805i	$0.296660\pi$
$140$	5.64167	−	11.2022i	0.476808	−	0.946755i
$141$	−1.70705	+	0.633245i	−0.143760	+	0.0533289i
$142$	−4.66756	−	2.00515i	−0.391693	−	0.168268i
$143$			6.34789i			0.530838i
$144$	−11.2967	+	4.04782i	−0.941391	+	0.337318i
$145$	−8.05733	−	2.34619i	−0.669125	−	0.194841i
$146$	3.95884	+	17.4927i	0.327636	+	1.44771i
$147$	−1.49842	+	0.0615652i	−0.123587	+	0.00507781i
$148$	12.2772	−	11.6522i	1.00918	−	0.957806i
$149$			20.1075i			1.64727i	0.567122	+	0.823634i	$0.308057\pi$
$149$			20.1075i			1.64727i	−0.567122	+	0.823634i	$0.691943\pi$
$150$	11.6892	+	3.65535i	0.954423	+	0.298458i
$151$			7.94771i			0.646776i	0.946267	+	0.323388i	$0.104822\pi$
$151$			7.94771i			0.646776i	−0.946267	+	0.323388i	$0.895178\pi$
$152$	13.0937	+	16.6057i	1.06204	+	1.34690i
$153$	0.771060	−	3.26323i	0.0623365	−	0.263816i
$154$	7.17295	−	1.62334i	0.578013	−	0.130812i
$155$	12.2951	+	15.8707i	0.987568	+	1.27477i
$156$	−8.25954	+	8.51033i	−0.661293	+	0.681372i
$157$		−	21.0927i		−	1.68338i	−0.539959	−	0.841691i	$-0.681560\pi$
$157$		−	21.0927i		−	1.68338i	0.539959	−	0.841691i	$-0.318440\pi$
$158$	−2.79540	+	6.50709i	−0.222390	+	0.517677i
$159$	1.16113	+	3.13007i	0.0920834	+	0.248231i
$160$	−11.0065	+	6.23354i	−0.870140	+	0.492805i
$161$	−3.46993	+	4.77595i	−0.273469	+	0.376398i
$162$	−6.71402	+	10.8130i	−0.527503	+	0.849553i
$163$	4.21409	−	3.06171i	0.330073	−	0.239812i	−0.410389	−	0.911911i	$-0.634607\pi$
$163$	4.21409	−	3.06171i	0.330073	−	0.239812i	0.740461	+	0.672099i	$0.234607\pi$
$164$	9.41390	−	8.93471i	0.735102	−	0.697683i
$165$	2.70385	+	6.65283i	0.210495	+	0.517922i
$166$	−7.47087	+	4.44505i	−0.579852	+	0.345003i
$167$	5.01679	+	1.63005i	0.388211	+	0.126137i	0.496618	−	0.867969i	$-0.334575\pi$
$167$	5.01679	+	1.63005i	0.388211	+	0.126137i	−0.108407	+	0.994107i	$0.534575\pi$
$168$	11.7287	+	7.15674i	0.904885	+	0.552154i
$169$	0.395392	−	1.21689i	0.0304148	−	0.0936070i
$170$	0.214720	−	3.52793i	0.0164683	−	0.270580i
$171$	21.8286	+	5.15783i	1.66928	+	0.394429i
$172$	−2.05764	−	15.6209i	−0.156893	−	1.19108i
$173$	−13.1367	−	9.54436i	−0.998764	−	0.725644i	−0.0369410	−	0.999317i	$-0.511761\pi$
$173$	−13.1367	−	9.54436i	−0.998764	−	0.725644i	−0.961823	+	0.273673i	$0.911761\pi$
$174$	3.27876	−	8.58836i	0.248562	−	0.651082i
$175$	−5.14635	−	13.0446i	−0.389027	−	0.986078i
$176$	−6.92455	−	2.65698i	−0.521958	−	0.200277i
$177$	−11.6075	+	9.18446i	−0.872476	+	0.690346i
$178$	−5.28983	−	23.3739i	−0.396489	−	1.75195i
$179$	2.97647	+	9.16063i	0.222472	+	0.684697i	0.998538	+	0.0540466i	$0.0172119\pi$
$179$	2.97647	+	9.16063i	0.222472	+	0.684697i	−0.776067	+	0.630651i	$0.782788\pi$
$180$	−5.03137	+	12.4373i	−0.375017	+	0.927018i
$181$	−3.65420	+	11.2465i	−0.271614	+	0.835943i	0.718481	+	0.695546i	$0.244838\pi$
$181$	−3.65420	+	11.2465i	−0.271614	+	0.835943i	−0.990095	+	0.140396i	$0.955162\pi$
$182$	13.5218	+	1.24201i	1.00231	+	0.0920637i
$183$	1.30145	+	0.866226i	0.0962057	+	0.0640333i
$184$	5.58534	−	2.06120i	0.411757	−	0.151954i
$185$	−0.582908	−	18.9153i	−0.0428563	−	1.39068i
$186$	−18.4223	+	12.0116i	−1.35079	+	0.880730i
$187$	1.67663	−	1.21814i	0.122607	−	0.0890795i
$188$	−0.905233	−	1.89752i	−0.0660209	−	0.138391i
$189$	14.4627	−	1.79075i	1.05201	−	0.130258i
$190$	23.5993	+	1.43632i	1.71208	+	0.104202i
$191$	16.3988	−	11.9144i	1.18657	−	0.862096i	0.193675	−	0.981066i	$-0.437959\pi$
$191$	16.3988	−	11.9144i	1.18657	−	0.862096i	0.992898	+	0.118970i	$0.0379591\pi$
$192$	−5.82632	−	12.5720i	−0.420478	−	0.907303i
$193$			7.83027i			0.563635i	0.959468	+	0.281818i	$0.0909373\pi$
$193$			7.83027i			0.563635i	−0.959468	+	0.281818i	$0.909063\pi$
$194$	9.84621	−	22.9199i	0.706917	−	1.64555i
$195$	0.952131	+	13.2250i	0.0681835	+	0.947062i
$196$	−0.226150	−	1.71685i	−0.0161536	−	0.122632i
$197$	4.59514	+	14.1424i	0.327390	+	1.00760i	0.970350	+	0.241703i	$0.0777060\pi$
$197$	4.59514	+	14.1424i	0.327390	+	1.00760i	−0.642960	+	0.765900i	$0.722294\pi$
$198$	−7.50436	+	2.36001i	−0.533312	+	0.167718i
$199$		−	14.5552i		−	1.03179i	−0.856652	−	0.515894i	$-0.827460\pi$
$199$		−	14.5552i		−	1.03179i	0.856652	−	0.515894i	$-0.172540\pi$
$200$	−2.99191	+	13.8220i	−0.211560	+	0.977365i
$201$	0.699539	−	2.49752i	0.0493417	−	0.176161i
$202$	−7.25024	−	6.35784i	−0.510125	−	0.447336i
$203$	−10.0106	+	3.25263i	−0.702603	+	0.228290i
$204$	3.83277	+	0.548434i	0.268348	+	0.0383981i
$205$	−0.446963	−	14.5039i	−0.0312173	−	1.01300i
$206$	−17.5846	−	7.55421i	−1.22518	−	0.526326i
$207$	3.28007	−	5.39595i	0.227981	−	0.375044i
$208$	−10.6435	−	8.61648i	−0.737994	−	0.597445i
$209$	8.14851	+	11.2155i	0.563644	+	0.775790i
$210$	14.7004	−	4.45789i	1.01443	−	0.307624i
$211$	−5.00382	+	6.88717i	−0.344477	+	0.474132i	−0.945742	−	0.324917i	$-0.894663\pi$
$211$	−5.00382	+	6.88717i	−0.344477	+	0.474132i	0.601265	+	0.799049i	$0.294663\pi$
$212$	−3.47932	+	1.65985i	−0.238961	+	0.113999i
$213$	−2.16392	−	5.83331i	−0.148269	−	0.399692i
$214$	−10.4392	−	9.15428i	−0.713608	−	0.625774i
$215$	−14.5634	−	9.91028i	−0.993219	−	0.675875i
$216$	−13.1315	−	6.60033i	−0.893484	−	0.449096i
$217$	23.9482	+	7.78125i	1.62571	+	0.528226i
$218$	−0.285535	+	3.10865i	−0.0193389	+	0.210544i
$219$	−12.1708	+	18.2859i	−0.822429	+	1.23564i
$220$	−7.37068	+	3.79926i	−0.496931	+	0.256146i
$221$	3.63917	−	1.18244i	0.244797	−	0.0795394i
$222$	20.7040	+	1.04709i	1.38956	+	0.0702761i
$223$	1.64427	+	1.19463i	0.110109	+	0.0799987i	0.641477	−	0.767142i	$-0.278322\pi$
$223$	1.64427	+	1.19463i	0.110109	+	0.0799987i	−0.531368	+	0.847141i	$0.678322\pi$
$224$	−7.01455	+	14.2304i	−0.468679	+	0.950806i
$225$	6.63099	+	13.4547i	0.442066	+	0.896982i
$226$	−2.01424	+	21.9292i	−0.133985	+	1.45871i
$227$	15.1887	−	20.9054i	1.00811	−	1.38754i	0.0878937	−	0.996130i	$-0.471986\pi$
$227$	15.1887	−	20.9054i	1.00811	−	1.38754i	0.920215	−	0.391413i	$-0.128014\pi$
$228$	−3.66863	+	25.6385i	−0.242961	+	1.69795i
$229$	−0.894624	−	2.75337i	−0.0591184	−	0.181948i	0.917136	−	0.398574i	$-0.130495\pi$
$229$	−0.894624	−	2.75337i	−0.0591184	−	0.181948i	−0.976255	+	0.216626i	$0.930495\pi$
$230$	2.43767	−	6.19382i	0.160736	−	0.408409i
$231$	7.49818	+	4.99069i	0.493344	+	0.328363i
$232$	10.2169	+	2.88030i	0.670770	+	0.189101i
$233$	5.73497	−	17.6504i	0.375710	−	1.15632i	−0.567288	−	0.823520i	$-0.692007\pi$
$233$	5.73497	−	17.6504i	0.375710	−	1.15632i	0.942998	−	0.332798i	$-0.107993\pi$
$234$	−14.5241	−	0.137510i	−0.949471	−	0.00898933i
$235$	−2.25681	−	0.657154i	−0.147218	−	0.0428680i
$236$	−11.7659	−	12.3969i	−0.765893	−	0.806970i
$237$	−8.13228	+	3.01674i	−0.528249	+	0.195958i
$238$	−2.26676	−	3.80978i	−0.146932	−	0.246952i
$239$	−7.59666	−	5.51929i	−0.491387	−	0.357013i	0.314331	−	0.949314i	$-0.398220\pi$
$239$	−7.59666	−	5.51929i	−0.491387	−	0.357013i	−0.805717	+	0.592300i	$0.798220\pi$
$240$	−14.8249	−	4.49684i	−0.956945	−	0.290270i
$241$	16.9165	−	12.2905i	1.08969	−	0.791704i	0.110340	−	0.993894i	$-0.464806\pi$
$241$	16.9165	−	12.2905i	1.08969	−	0.791704i	0.979346	+	0.202190i	$0.0648059\pi$
$242$	9.82588	+	4.22113i	0.631631	+	0.271344i
$243$	−15.2610	+	3.17816i	−0.978996	+	0.203879i
$244$	−0.861265	+	1.58652i	−0.0551368	+	0.101566i
$245$	−1.60063	−	1.08921i	−0.102261	−	0.0695873i
$246$	15.8755	+	0.802890i	1.01218	+	0.0511904i
$247$	7.90966	+	24.3434i	0.503280	+	1.54894i
$248$	−15.7237	−	19.9411i	−0.998453	−	1.26626i
$249$	−10.2524	−	2.87164i	−0.649721	−	0.181983i
$250$	9.30427	+	12.7840i	0.588453	+	0.808531i
$251$	−8.22153			−0.518938			−0.259469	−	0.965751i	$-0.583548\pi$
$251$	−8.22153			−0.518938			−0.259469	+	0.965751i	$0.583548\pi$
$252$	3.55885	+	16.4470i	0.224186	+	1.03607i
$253$	3.71187	−	1.20606i	0.233363	−	0.0758244i
$254$	−3.34251	+	0.756455i	−0.209728	+	0.0474642i
$255$	3.31033	−	2.78932i	0.207301	−	0.174674i
$256$	13.8542	−	8.00387i	0.865886	−	0.500242i
$257$	−11.5351			−0.719538			−0.359769	−	0.933041i	$-0.617145\pi$
$257$	−11.5351			−0.719538			−0.359769	+	0.933041i	$0.617145\pi$
$258$	12.1165	−	15.0187i	0.754338	−	0.935021i
$259$	−13.9516	−	19.2028i	−0.866913	−	1.19320i
$260$	−15.1105	+	2.46608i	−0.937115	+	0.152940i
$261$	10.3864	−	4.34593i	0.642905	−	0.269006i
$262$	−2.99470	−	5.03324i	−0.185013	−	0.310955i
$263$	−10.6114	−	14.6054i	−0.654330	−	0.900608i	0.344947	−	0.938622i	$-0.387897\pi$
$263$	−10.6114	−	14.6054i	−0.654330	−	0.900608i	−0.999277	+	0.0380143i	$0.987897\pi$
$264$	−3.49211	−	8.38562i	−0.214924	−	0.516099i
$265$	−1.20497	+	4.13811i	−0.0740205	+	0.254202i
$266$	25.4847	−	15.1630i	1.56257	−	0.929704i
$267$	16.2627	−	24.4337i	0.995263	−	1.49532i
$268$	2.94476	+	0.545567i	0.179880	+	0.0333258i
$269$	6.82911	+	2.21891i	0.416378	+	0.135289i	0.509711	−	0.860346i	$-0.329752\pi$
$269$	6.82911	+	2.21891i	0.416378	+	0.135289i	−0.0933334	+	0.995635i	$0.529752\pi$
$270$	−15.2804	+	6.04236i	−0.929934	+	0.367726i
$271$	−9.40434	+	3.05565i	−0.571273	+	0.185618i	−0.580387	−	0.814341i	$-0.697099\pi$
$271$	−9.40434	+	3.05565i	−0.571273	+	0.185618i	0.00911443	+	0.999958i	$0.497099\pi$
$272$	−0.233359	+	4.46469i	−0.0141495	+	0.270711i
$273$	10.3193	+	13.0417i	0.624551	+	0.789322i
$274$	0.418531	−	4.55659i	0.0252844	−	0.275274i
$275$	−2.31654	+	8.97693i	−0.139693	+	0.541329i
$276$	6.54560	+	3.21278i	0.393999	+	0.193387i
$277$	1.96968	−	2.71103i	0.118347	−	0.162890i	−0.745734	−	0.666244i	$-0.767901\pi$
$277$	1.96968	−	2.71103i	0.118347	−	0.162890i	0.864080	+	0.503354i	$0.167901\pi$
$278$	−2.20099	−	9.72541i	−0.132007	−	0.583291i
$279$	−26.2131	−	6.19383i	−1.56934	−	0.370815i
$280$	6.65080	+	16.4439i	0.397461	+	0.982709i
$281$	12.3397	+	4.00940i	0.736122	+	0.239181i	0.652999	−	0.757359i	$-0.273510\pi$
$281$	12.3397	+	4.00940i	0.736122	+	0.239181i	0.0831232	+	0.996539i	$0.473510\pi$
$282$	0.918359	−	2.40555i	0.0546875	−	0.143248i
$283$	−0.0785686	+	0.241809i	−0.00467042	+	0.0143741i	−0.953365	−	0.301821i	$-0.902405\pi$
$283$	−0.0785686	+	0.241809i	−0.00467042	+	0.0143741i	0.948694	+	0.316195i	$0.102405\pi$
$284$	6.48418	−	3.09335i	0.384765	−	0.183557i
$285$	18.6586	+	22.1437i	1.10524	+	1.31168i
$286$	−6.74968	−	5.91889i	−0.399117	−	0.349992i
$287$	−10.6979	−	14.7244i	−0.631475	−	0.869151i
$288$	6.22922	−	15.7860i	0.367061	−	0.930197i
$289$	12.7426	+	9.25806i	0.749567	+	0.544592i
$290$	10.0075	−	6.37968i	0.587661	−	0.374628i
$291$	28.6443	−	10.6258i	1.67916	−	0.622898i
$292$	−22.2912	−	12.1011i	−1.30450	−	0.708166i
$293$	−10.3849			−0.606691			−0.303345	−	0.952881i	$-0.598104\pi$
$293$	−10.3849			−0.606691			−0.303345	+	0.952881i	$0.598104\pi$
$294$	1.33169	−	1.65066i	0.0776657	−	0.0962686i
$295$	−19.0998	+	0.588594i	−1.11203	+	0.0342693i
$296$	0.942287	+	23.9190i	0.0547693	+	1.39026i
$297$	−8.43146	−	4.66242i	−0.489243	−	0.270541i
$298$	−21.3802	−	18.7486i	−1.23852	−	1.08608i
$299$	7.20614			0.416742
$300$	−14.7860	+	9.02080i	−0.853669	+	0.520816i
$301$	−22.0945			−1.27350
$302$	−8.45076	−	7.41059i	−0.486286	−	0.426432i
$303$	−0.484837	−	11.8003i	−0.0278532	−	0.677910i
$304$	−29.8655	−	1.56101i	−1.71291	−	0.0895298i
$305$	0.682517	+	1.89939i	0.0390808	+	0.108759i
$306$	2.75082	+	3.86256i	0.157254	+	0.220808i
$307$	17.0538			0.973314			0.486657	−	0.873593i	$-0.338216\pi$
$307$	17.0538			0.973314			0.486657	+	0.873593i	$0.338216\pi$
$308$	−4.96211	+	9.14059i	−0.282743	+	0.520834i
$309$	−8.15236	−	21.9764i	−0.463771	−	1.25020i
$310$	−28.3395	−	1.72482i	−1.60957	−	0.0979632i
$311$	−19.8576	−	14.4274i	−1.12602	−	0.818102i	−0.140910	−	0.990022i	$-0.545003\pi$
$311$	−19.8576	−	14.4274i	−1.12602	−	0.818102i	−0.985111	+	0.171920i	$0.945003\pi$
$312$	−1.34764	−	16.7175i	−0.0762949	−	0.946443i
$313$	5.67018	+	7.80433i	0.320497	+	0.441127i	0.938619	−	0.344956i	$-0.112106\pi$
$313$	5.67018	+	7.80433i	0.320497	+	0.441127i	−0.618122	+	0.786083i	$0.712106\pi$
$314$	22.4278	+	19.6672i	1.26567	+	1.10989i
$315$	16.3700	+	9.27279i	0.922347	+	0.522463i
$316$	−4.31247	−	9.03967i	−0.242596	−	0.508521i
$317$	5.41442	−	16.6639i	0.304104	−	0.935936i	−0.675906	−	0.736988i	$-0.736247\pi$
$317$	5.41442	−	16.6639i	0.304104	−	0.935936i	0.980010	−	0.198948i	$-0.0637525\pi$
$318$	−4.41084	−	1.68392i	−0.247348	−	0.0944293i
$319$	6.61824	+	2.15040i	0.370550	+	0.120399i
$320$	3.63457	−	17.5154i	0.203179	−	0.979142i
$321$	−0.698088	−	16.9906i	−0.0389635	−	0.948320i
$322$	−1.84281	−	8.14275i	−0.102696	−	0.453778i
$323$	4.91184	−	6.76057i	0.273302	−	0.376168i
$324$	−5.23718	−	17.2213i	−0.290955	−	0.956737i
$325$	−9.18966	+	14.4417i	−0.509751	+	0.801081i
$326$	−0.673790	+	7.33561i	−0.0373178	+	0.406282i
$327$	−2.99827	+	2.37238i	−0.165805	+	0.131193i
$328$	0.722529	+	18.3406i	0.0398950	+	1.01269i
$329$	−2.80389	+	0.911040i	−0.154584	+	0.0502273i
$330$	−9.59504	−	3.32823i	−0.528189	−	0.183213i
$331$	24.1449	+	7.84515i	1.32712	+	0.431208i	0.884935	−	0.465714i	$-0.154202\pi$
$331$	24.1449	+	7.84515i	1.32712	+	0.431208i	0.442188	+	0.896922i	$0.354202\pi$
$332$	2.23958	−	12.0884i	0.122913	−	0.663436i
$333$	16.5584	+	19.2471i	0.907393	+	1.05473i
$334$	−6.41098	+	3.81443i	−0.350793	+	0.208717i
$335$	2.64698	−	2.05063i	0.144620	−	0.112038i
$336$	−18.5457	+	5.79794i	−1.01175	+	0.316304i
$337$	6.24918	+	8.60126i	0.340415	+	0.468540i	0.944562	−	0.328332i	$-0.106486\pi$
$337$	6.24918	+	8.60126i	0.340415	+	0.468540i	−0.604148	+	0.796872i	$0.706486\pi$
$338$	0.925243	+	1.55507i	0.0503266	+	0.0845846i
$339$	−21.1506	+	16.7354i	−1.14874	+	0.908943i
$340$	3.55102	+	3.51782i	0.192581	+	0.190781i
$341$	−9.78520	−	13.4682i	−0.529898	−	0.729343i
$342$	−25.8377	+	18.4010i	−1.39714	+	0.995012i
$343$	17.2039			0.928925
$344$	18.5282	+	12.3773i	0.998973	+	0.667341i
$345$	7.55230	−	3.06942i	0.406602	−	0.165252i
$346$	22.3974	−	5.06883i	1.20409	−	0.272502i
$347$	−30.8425	+	10.0213i	−1.65571	+	0.537974i	−0.979967	−	0.199161i	$-0.936178\pi$
$347$	−30.8425	+	10.0213i	−1.65571	+	0.537974i	−0.675746	+	0.737135i	$0.736178\pi$
$348$	6.07479	+	11.4942i	0.325643	+	0.616156i
$349$	−3.26785			−0.174924			−0.0874621	−	0.996168i	$-0.527876\pi$
$349$	−3.26785			−0.174924			−0.0874621	+	0.996168i	$0.527876\pi$
$350$	18.6688	+	6.69093i	0.997889	+	0.357645i
$351$	−12.1454	−	12.9978i	−0.648273	−	0.693771i
$352$	9.28173	−	4.88543i	0.494718	−	0.260394i
$353$	5.15615	+	15.8690i	0.274434	+	0.844621i	0.989369	+	0.145430i	$0.0464565\pi$
$353$	5.15615	+	15.8690i	0.274434	+	0.844621i	−0.714935	+	0.699191i	$0.753544\pi$
$354$	1.05730	−	20.9060i	0.0561951	−	1.11114i
$355$	2.24562	−	7.71193i	0.119185	−	0.409307i
$356$	29.7857	+	16.1696i	1.57864	+	0.856987i
$357$	1.46440	−	5.22825i	0.0775042	−	0.276708i
$358$	−12.5158	−	5.37668i	−0.661478	−	0.284166i
$359$	−7.34053	+	5.33320i	−0.387418	+	0.281476i	−0.764397	−	0.644746i	$-0.776963\pi$
$359$	−7.34053	+	5.33320i	−0.387418	+	0.281476i	0.376979	+	0.926222i	$0.376963\pi$
$360$	−8.53312	−	16.9466i	−0.449735	−	0.893162i
$361$	29.8520	+	21.6888i	1.57116	+	1.14151i
$362$	−8.55106	−	14.3719i	−0.449434	−	0.755370i
$363$	4.55536	+	12.2800i	0.239094	+	0.644531i
$364$	−13.9286	+	13.2196i	−0.730059	+	0.692897i
$365$	−26.6873	+	9.58965i	−1.39687	+	0.501945i
$366$	−2.13455	+	0.576136i	−0.111575	+	0.0301151i
$367$	−3.80297	+	11.7043i	−0.198513	+	0.610961i	0.801404	+	0.598123i	$0.204087\pi$
$367$	−3.80297	+	11.7043i	−0.198513	+	0.610961i	−0.999918	+	0.0128379i	$0.995913\pi$
$368$	−3.01621	+	7.86076i	−0.157231	+	0.409771i
$369$	12.6967	+	14.7583i	0.660962	+	0.768288i
$370$	20.6560	+	17.0172i	1.07386	+	0.884681i
$371$	1.67050	+	5.14126i	0.0867278	+	0.266921i
$372$	4.40550	−	30.7882i	0.228415	−	1.59629i
$373$	−0.909305	+	1.25155i	−0.0470820	+	0.0648029i	−0.831909	−	0.554912i	$-0.812752\pi$
$373$	−0.909305	+	1.25155i	−0.0470820	+	0.0648029i	0.784827	+	0.619715i	$0.212752\pi$
$374$	−0.268077	+	2.91857i	−0.0138619	+	0.150916i
$375$	−3.47974	+	19.0497i	−0.179693	+	0.983723i
$376$	2.86168	+	0.806753i	0.147580	+	0.0416051i
$377$	10.3946	+	7.55215i	0.535351	+	0.388955i
$378$	−11.5812	+	17.0479i	−0.595675	+	0.876849i
$379$	−6.13362	+	1.99293i	−0.315063	+	0.102370i	−0.462280	−	0.886734i	$-0.652968\pi$
$379$	−6.13362	+	1.99293i	−0.315063	+	0.102370i	0.147217	+	0.989104i	$0.452968\pi$
$380$	−23.5317	+	23.7538i	−1.20715	+	1.21854i
$381$	−3.49406	−	2.32560i	−0.179006	−	0.119144i
$382$	−2.62200	+	28.5459i	−0.134153	+	1.46054i
$383$	13.7803	+	4.47749i	0.704140	+	0.228789i	0.639133	−	0.769096i	$-0.279293\pi$
$383$	13.7803	+	4.47749i	0.704140	+	0.228789i	0.0650064	+	0.997885i	$0.479293\pi$
$384$	18.8003	+	5.52724i	0.959397	+	0.282061i
$385$	3.93227	+	10.9432i	0.200407	+	0.557717i
$386$	−8.32588	−	7.30109i	−0.423776	−	0.371616i
$387$	23.5541	−	1.93880i	1.19732	−	0.0985546i
$388$	15.1898	+	31.8403i	0.771145	+	1.61645i
$389$	12.9514	−	17.8261i	0.656663	−	0.903819i	−0.342702	−	0.939444i	$-0.611342\pi$
$389$	12.9514	−	17.8261i	0.656663	−	0.903819i	0.999365	+	0.0356248i	$0.0113421\pi$
$390$	−14.9499	−	11.3188i	−0.757016	−	0.573152i
$391$	−1.38284	−	1.90331i	−0.0699332	−	0.0962548i
$392$	2.03639	+	1.36036i	0.102853	+	0.0687086i
$393$	1.93467	−	6.90722i	0.0975911	−	0.348423i
$394$	−19.3221	−	8.30063i	−0.973434	−	0.418180i
$395$	−10.7513	−	3.13064i	−0.540956	−	0.157520i
$396$	4.48783	−	10.1799i	0.225522	−	0.511557i
$397$	−17.5994	+	5.71840i	−0.883290	+	0.286998i	−0.715323	−	0.698794i	$-0.753720\pi$
$397$	−17.5994	+	5.71840i	−0.883290	+	0.286998i	−0.167967	+	0.985793i	$0.553720\pi$
$398$	15.4764	+	13.5715i	0.775763	+	0.680278i
$399$	34.9732	+	9.79577i	1.75085	+	0.490402i
$400$	−11.9072	−	16.0692i	−0.595359	−	0.803460i
$401$			17.2591i			0.861877i	0.902381	+	0.430939i	$0.141817\pi$
$401$			17.2591i			0.861877i	−0.902381	+	0.430939i	$0.858183\pi$
$402$	2.00333	+	3.07255i	0.0999172	+	0.153245i
$403$	−9.49838	−	29.2330i	−0.473148	−	1.45620i
$404$	13.5205	−	1.78097i	0.672671	−	0.0886066i
$405$	−18.2652	−	8.44889i	−0.907603	−	0.419829i
$406$	5.87553	−	13.6770i	0.291597	−	0.678777i
$407$			15.6925i			0.777846i
$408$	−4.15689	+	3.56399i	−0.205797	+	0.176444i
$409$	−5.74671	+	4.17523i	−0.284156	+	0.206452i	−0.720728	−	0.693218i	$-0.756192\pi$
$409$	−5.74671	+	4.17523i	−0.284156	+	0.206452i	0.436572	+	0.899669i	$0.356192\pi$
$410$	15.8387	+	13.0485i	0.782217	+	0.644417i
$411$	4.39480	−	3.47738i	0.216780	−	0.171527i
$412$	24.4285	−	11.6539i	1.20351	−	0.574147i
$413$	−19.3901	+	14.0877i	−0.954125	+	0.693212i
$414$	2.67908	+	8.51896i	0.131670	+	0.418684i
$415$	−8.41792	−	10.8660i	−0.413220	−	0.533390i
$416$	19.0861	−	3.28301i	0.935771	−	0.160963i
$417$	6.76660	−	10.1664i	0.331362	−	0.497849i
$418$	−19.5232	−	1.79324i	−0.954909	−	0.0877102i
$419$	−0.662387	+	2.03862i	−0.0323597	+	0.0995929i	−0.965932	−	0.258797i	$-0.916674\pi$
$419$	−0.662387	+	2.03862i	−0.0323597	+	0.0995929i	0.933572	+	0.358390i	$0.116674\pi$
$420$	−8.96690	+	19.7875i	−0.437540	+	0.965531i
$421$	−4.44421	−	13.6779i	−0.216597	−	0.666618i	−0.999036	−	0.0438909i	$-0.986025\pi$
$421$	−4.44421	−	13.6779i	−0.216597	−	0.666618i	0.782439	−	0.622727i	$-0.213975\pi$
$422$	−2.65743	−	11.7423i	−0.129362	−	0.571604i
$423$	2.90918	−	1.21727i	0.141449	−	0.0591856i
$424$	1.47927	−	5.24721i	0.0718399	−	0.254827i
$425$	5.57787	−	0.344111i	0.270566	−	0.0166918i
$426$	8.22020	+	3.13820i	0.398270	+	0.152047i
$427$	2.04800	+	1.48796i	0.0991097	+	0.0720074i
$428$	19.4674	−	2.56431i	0.940992	−	0.123951i
$429$	−0.451364	−	10.9856i	−0.0217920	−	0.530390i
$430$	24.1168	−	6.24471i	1.16301	−	0.301146i
$431$	−5.45008	+	16.7736i	−0.262521	+	0.807957i	0.729733	+	0.683732i	$0.239644\pi$
$431$	−5.45008	+	16.7736i	−0.262521	+	0.807957i	−0.992254	+	0.124225i	$0.960356\pi$
$432$	19.2621	−	7.80836i	0.926750	−	0.375680i
$433$	−2.32032	−	0.753918i	−0.111508	−	0.0362310i	0.252732	−	0.967536i	$-0.418671\pi$
$433$	−2.32032	−	0.753918i	−0.111508	−	0.0362310i	−0.364239	+	0.931305i	$0.618671\pi$
$434$	−30.6035	+	18.2086i	−1.46902	+	0.874042i
$435$	14.1108	+	3.48739i	0.676560	+	0.167207i
$436$	−3.03917	−	3.20217i	−0.145550	−	0.153356i
$437$	12.7318	−	9.25020i	0.609045	−	0.442497i
$438$	−8.09495	−	29.9913i	−0.386792	−	1.43304i
$439$	19.5188	−	26.8653i	0.931579	−	1.28221i	−0.0276608	−	0.999617i	$-0.508806\pi$
$439$	19.5188	−	26.8653i	0.931579	−	1.28221i	0.959240	−	0.282592i	$-0.0911942\pi$
$440$	2.83282	−	11.3797i	0.135050	−	0.542506i
$441$	2.58877	−	0.213088i	0.123275	−	0.0101471i
$442$	−2.13595	+	4.97204i	−0.101597	+	0.236496i
$443$			25.0316i			1.18929i	0.803990	+	0.594643i	$0.202707\pi$
$443$			25.0316i			1.18929i	−0.803990	+	0.594643i	$0.797293\pi$
$444$	−20.4182	+	21.0382i	−0.969005	+	0.998427i
$445$	35.6596	−	12.8137i	1.69043	−	0.607429i
$446$	−2.80340	+	0.634448i	−0.132745	+	0.0300420i
$447$	−1.42973	−	34.7978i	−0.0676239	−	1.64588i
$448$	−8.59056	−	20.7272i	−0.405866	−	0.979267i
$449$		−	32.0071i		−	1.51051i	−0.655433	−	0.755253i	$-0.727514\pi$
$449$		−	32.0071i		−	1.51051i	0.655433	−	0.755253i	$-0.272486\pi$
$450$	−20.4892	−	5.49475i	−0.965871	−	0.259025i
$451$			12.0327i			0.566598i
$452$	−21.4391	−	22.5890i	−1.00841	−	1.06250i
$453$	−0.565118	−	13.7542i	−0.0265515	−	0.646230i
$454$	8.06642	+	35.6427i	0.378576	+	1.67279i
$455$	0.661319	+	21.4597i	0.0310031	+	1.00605i
$456$	−23.8405	−	27.8066i	−1.11644	−	1.30216i
$457$		−	27.8514i		−	1.30283i	−0.758721	−	0.651416i	$-0.774175\pi$
$457$		−	27.8514i		−	1.30283i	0.758721	−	0.651416i	$-0.225825\pi$
$458$	3.76181	+	1.61605i	0.175778	+	0.0755128i
$459$	−1.10236	+	5.70213i	−0.0514537	+	0.266153i
$460$	4.31292	+	8.36720i	0.201091	+	0.390123i
$461$	−2.72769	+	3.75434i	−0.127041	+	0.174857i	−0.867800	−	0.496914i	$-0.834466\pi$
$461$	−2.72769	+	3.75434i	−0.127041	+	0.174857i	0.740758	+	0.671771i	$0.234466\pi$
$462$	−12.2980	+	3.31936i	−0.572156	+	0.154431i
$463$	12.0343	−	8.74343i	0.559281	−	0.406341i	−0.271915	−	0.962321i	$-0.587657\pi$
$463$	12.0343	−	8.74343i	0.559281	−	0.406341i	0.831196	+	0.555980i	$0.187657\pi$
$464$	−12.5890	+	8.17789i	−0.584429	+	0.379649i
$465$	−22.4063	−	26.5915i	−1.03907	−	1.23315i
$466$	13.4202	+	22.5556i	0.621679	+	1.04487i
$467$	6.19271	+	2.01213i	0.286564	+	0.0931104i	0.448772	−	0.893646i	$-0.351861\pi$
$467$	6.19271	+	2.01213i	0.286564	+	0.0931104i	−0.162208	+	0.986757i	$0.551861\pi$
$468$	13.6888	−	15.3152i	0.632763	−	0.707945i
$469$	1.29779	−	3.99418i	0.0599262	−	0.184434i
$470$	2.80304	−	1.78691i	0.129295	−	0.0824240i
$471$	1.49979	+	36.5029i	0.0691065	+	1.68196i
$472$	24.1523	−	0.951478i	1.11170	−	0.0437953i
$473$	11.8175	+	8.58592i	0.543369	+	0.394781i
$474$	4.37501	−	11.4599i	0.200951	−	0.526370i
$475$	2.30185	+	37.3119i	0.105616	+	1.71199i
$476$	6.16450	+	1.14208i	0.282549	+	0.0523470i
$477$	−2.23200	−	5.33431i	−0.102196	−	0.244241i
$478$	12.9519	−	2.93119i	0.592406	−	0.134070i
$479$	−5.73304	−	17.6445i	−0.261949	−	0.806197i	−0.992381	−	0.123211i	$-0.960681\pi$
$479$	−5.73304	−	17.6445i	−0.261949	−	0.806197i	0.730431	−	0.682986i	$-0.239319\pi$
$480$	18.6045	−	11.5703i	0.849176	−	0.528111i
$481$	−8.95343	+	27.5558i	−0.408241	+	1.25644i
$482$	−2.70478	+	29.4471i	−0.123199	+	1.34128i
$483$	5.66544	−	8.51195i	0.257787	−	0.387307i
$484$	−13.6501	+	6.51195i	−0.620461	+	0.295998i
$485$	37.8692	+	11.0270i	1.71955	+	0.500712i
$486$	10.8504	−	19.1904i	0.492182	−	0.870492i
$487$	−15.6066	+	11.3389i	−0.707203	+	0.513813i	−0.882270	−	0.470744i	$-0.843986\pi$
$487$	−15.6066	+	11.3389i	−0.707203	+	0.513813i	0.175067	+	0.984556i	$0.443986\pi$
$488$	−0.883875	−	2.39508i	−0.0400111	−	0.108420i
$489$	−7.07516	+	5.59821i	−0.319950	+	0.253160i
$490$	2.65061	−	0.686340i	0.119742	−	0.0310057i
$491$	−4.69454	+	3.41078i	−0.211862	+	0.153926i	−0.688656	−	0.725089i	$-0.741799\pi$
$491$	−4.69454	+	3.41078i	−0.211862	+	0.153926i	0.476794	+	0.879015i	$0.341799\pi$
$492$	−15.6563	+	16.1317i	−0.705841	+	0.727273i
$493$		−	4.19471i		−	0.188920i
$494$	−33.2593	−	14.2880i	−1.49641	−	0.642846i
$495$	−5.15231	−	11.3211i	−0.231579	−	0.508844i
$496$	35.8643	+	1.87455i	1.61035	+	0.0841696i
$497$	−3.11319	−	9.58142i	−0.139646	−	0.429786i
$498$	12.6130	−	8.22378i	0.565200	−	0.368516i
$499$		−	20.7222i		−	0.927654i	−0.885926	−	0.463827i	$-0.846476\pi$
$499$		−	20.7222i		−	0.927654i	0.885926	−	0.463827i	$-0.153524\pi$
$500$	−22.2686	−	2.02686i	−0.995883	−	0.0906441i
$501$	−8.79792	−	2.46424i	−0.393062	−	0.110094i
$502$	7.66591	−	8.74191i	0.342146	−	0.390170i
$503$	−33.8991	+	11.0145i	−1.51149	+	0.491111i	−0.943343	−	0.331819i	$-0.892338\pi$
$503$	−33.8991	+	11.0145i	−1.51149	+	0.491111i	−0.568142	+	0.822931i	$0.692338\pi$
$504$	−20.8064	−	11.5514i	−0.926790	−	0.514541i
$505$	8.57775	−	12.6053i	0.381705	−	0.560927i
$506$	−2.17862	+	5.07137i	−0.0968515	+	0.225450i
$507$	−0.597735	+	2.13405i	−0.0265463	+	0.0947767i
$508$	2.31228	−	4.25941i	0.102591	−	0.188981i
$509$	2.25059	+	3.09767i	0.0997557	+	0.137302i	0.855977	−	0.517014i	$-0.172957\pi$
$509$	2.25059	+	3.09767i	0.0997557	+	0.137302i	−0.756221	+	0.654316i	$0.772957\pi$
$510$	−0.120741	+	6.12068i	−0.00534649	+	0.271028i
$511$	−20.9065	+	28.7753i	−0.924847	+	1.27294i
$512$	−4.40742	+	22.1940i	−0.194782	+	0.980847i
$513$	−38.1432	−	7.37399i	−1.68406	−	0.325570i
$514$	10.7555	−	12.2652i	0.474406	−	0.540994i
$515$	8.46015	−	29.0540i	0.372799	−	1.28027i
$516$	4.67164	+	26.8871i	0.205658	+	1.18364i
$517$	1.85373	+	0.602312i	0.0815268	+	0.0264897i
$518$	33.4270	+	3.07033i	1.46870	+	0.134903i
$519$	23.4129	+	15.5833i	1.02771	+	0.684031i
$520$	11.4672	−	18.3664i	0.502869	−	0.805418i
$521$	−27.7287	+	9.00962i	−1.21482	+	0.394718i	−0.845192	−	0.534462i	$-0.820514\pi$
$521$	−27.7287	+	9.00962i	−1.21482	+	0.394718i	−0.369626	+	0.929181i	$0.620514\pi$
$522$	−5.06352	+	15.0961i	−0.221624	+	0.660737i
$523$	5.18001	+	3.76350i	0.226506	+	0.164566i	0.695250	−	0.718768i	$-0.255293\pi$
$523$	5.18001	+	3.76350i	0.226506	+	0.164566i	−0.468744	+	0.883334i	$0.655293\pi$
$524$	8.14413	+	1.50884i	0.355778	+	0.0659139i
$525$	9.83375	+	22.2089i	0.429180	+	0.969276i
$526$	25.4242	+	2.33526i	1.10855	+	0.101822i
$527$	−5.89843	+	8.11849i	−0.256940	+	0.353647i
$528$	12.1725	+	4.10578i	0.529740	+	0.178681i
$529$	5.73827	+	17.6606i	0.249490	+	0.767851i
$530$	−3.27650	−	5.13969i	−0.142322	−	0.223254i
$531$	19.4348	−	16.7199i	0.843400	−	0.725581i
$532$	−7.63967	+	41.2360i	−0.331222	+	1.78781i
$533$	−6.86533	+	21.1293i	−0.297370	+	0.915212i
$534$	10.8165	+	40.0745i	0.468076	+	1.73419i
$535$	12.3506	−	18.1496i	0.533963	−	0.784674i
$536$	−3.32585	+	2.62245i	−0.143655	+	0.113273i
$537$	−5.80241	−	15.6417i	−0.250392	−	0.674987i
$538$	−8.72694	+	5.19240i	−0.376245	+	0.223860i
$539$	1.29883	+	0.943656i	0.0559446	+	0.0406461i
$540$	7.82291	−	21.8815i	0.336644	−	0.941632i
$541$	18.7149	−	13.5972i	0.804617	−	0.584589i	−0.107648	−	0.994189i	$-0.534332\pi$
$541$	18.7149	−	13.5972i	0.804617	−	0.584589i	0.912265	+	0.409600i	$0.134332\pi$
$542$	5.51972	−	12.8487i	0.237092	−	0.551900i
$543$	5.52424	−	19.7228i	0.237068	−	0.846388i
$544$	−4.52969	−	4.41109i	−0.194209	−	0.189124i
$545$	−4.93355	+	0.152036i	−0.211330	+	0.00651252i
$546$	−23.4891	−	1.18794i	−1.00524	−	0.0508393i
$547$	1.11144	+	3.42065i	0.0475216	+	0.146256i	0.972002	−	0.234974i	$-0.0755005\pi$
$547$	1.11144	+	3.42065i	0.0475216	+	0.146256i	−0.924480	+	0.381230i	$0.875500\pi$
$548$	4.45475	+	4.69367i	0.190297	+	0.200504i
$549$	−2.31386	−	1.40654i	−0.0987533	−	0.0600298i
$550$	−7.38513	−	10.8334i	−0.314903	−	0.461938i
$551$	28.0596			1.19538
$552$	−9.51937	+	3.96424i	−0.405171	+	0.168729i
$553$	−13.3576	+	4.34014i	−0.568022	+	0.184561i
$554$	1.04606	+	4.62217i	0.0444428	+	0.196377i
$555$	2.35374	+	32.6932i	0.0999106	+	1.38775i
$556$	12.3932	+	6.72785i	0.525590	+	0.285324i
$557$	28.3445			1.20100			0.600498	−	0.799626i	$-0.294969\pi$
$557$	28.3445			1.20100			0.600498	+	0.799626i	$0.294969\pi$
$558$	31.0274	−	22.0970i	1.31350	−	0.935440i
$559$	15.8527	+	21.8193i	0.670497	+	0.922860i
$560$	−23.6860	−	8.26080i	−1.00092	−	0.349083i
$561$	−2.81495	+	2.22733i	−0.118847	+	0.0940378i
$562$	−15.7689	+	9.38226i	−0.665171	+	0.395767i
$563$	−18.1788	−	25.0210i	−0.766146	−	1.05451i	−0.996678	−	0.0814444i	$-0.974047\pi$
$563$	−18.1788	−	25.0210i	−0.766146	−	1.05451i	0.230532	−	0.973065i	$-0.425953\pi$
$564$	1.70151	+	3.21946i	0.0716465	+	0.135564i
$565$	−34.8026	+	1.07250i	−1.46416	+	0.0451206i
$566$	−0.183856	−	0.309009i	−0.00772803	−	0.0129886i
$567$	−24.9018	+	4.12742i	−1.04578	+	0.173335i
$568$	−2.75683	+	9.77889i	−0.115674	+	0.410313i
$569$	−33.1483	−	10.7705i	−1.38965	−	0.451524i	−0.483819	−	0.875168i	$-0.660751\pi$
$569$	−33.1483	−	10.7705i	−1.38965	−	0.451524i	−0.905829	+	0.423644i	$0.860751\pi$
$570$	−40.9429	−	0.807669i	−1.71491	−	0.0338295i
$571$	−18.3366	+	5.95791i	−0.767361	+	0.249331i	−0.666435	−	0.745563i	$-0.732181\pi$
$571$	−18.3366	+	5.95791i	−0.767361	+	0.249331i	−0.100926	+	0.994894i	$0.532181\pi$
$572$	12.5871	−	1.65801i	0.526291	−	0.0693249i
$573$	−27.5324	+	21.7850i	−1.15018	+	0.910081i
$574$	25.6312	+	2.35428i	1.06983	+	0.0982656i
$575$	10.1906	+	2.62974i	0.424978	+	0.109668i
$576$	10.9769	+	21.3426i	0.457370	+	0.889276i
$577$	−19.8382	+	27.3049i	−0.825874	+	1.13672i	0.162803	+	0.986659i	$0.447946\pi$
$577$	−19.8382	+	27.3049i	−0.825874	+	1.13672i	−0.988677	+	0.150059i	$0.952054\pi$
$578$	−21.7255	+	4.91678i	−0.903662	+	0.204511i
$579$	−0.556767	−	13.5510i	−0.0231385	−	0.563160i
$580$	−2.54770	+	16.5895i	−0.105787	+	0.688840i
$581$	−16.3963	−	5.32747i	−0.680232	−	0.221021i
$582$	−15.4101	+	40.3650i	−0.638767	+	1.67318i
$583$	1.10441	−	3.39902i	0.0457399	−	0.140773i
$584$	33.6518	−	12.4188i	1.39252	−	0.513895i
$585$	−2.58811	−	22.8194i	−0.107005	−	0.943465i
$586$	9.68305	−	11.0422i	0.400003	−	0.456148i
$587$	−11.2432	−	15.4749i	−0.464057	−	0.638719i	0.511287	−	0.859410i	$-0.329169\pi$
$587$	−11.2432	−	15.4749i	−0.464057	−	0.638719i	−0.975344	+	0.220691i	$0.929169\pi$
$588$	0.513448	+	2.95509i	0.0211743	+	0.121866i
$589$	−54.3068	−	39.4562i	−2.23767	−	1.62577i
$590$	17.1832	−	20.8575i	0.707420	−	0.858691i
$591$	−8.95789	−	24.1479i	−0.368478	−	0.993313i
$592$	−26.3115	−	21.3006i	−1.08140	−	0.875448i
$593$	−8.54639			−0.350958			−0.175479	−	0.984483i	$-0.556147\pi$
$593$	−8.54639			−0.350958			−0.175479	+	0.984483i	$0.556147\pi$
$594$	12.8192	−	4.61780i	0.525977	−	0.189471i
$595$	5.54113	−	4.29274i	0.227164	−	0.175985i
$596$	39.8705	−	5.25188i	1.63316	−	0.215126i
$597$	1.03494	+	25.1890i	0.0423572	+	1.03092i
$598$	−6.71914	+	7.66225i	−0.274766	+	0.313333i
$599$	−34.9700			−1.42884			−0.714419	−	0.699719i	$-0.753309\pi$
$599$	−34.9700			−1.42884			−0.714419	+	0.699719i	$0.753309\pi$
$600$	4.19496	−	24.1330i	0.171259	−	0.985226i
$601$	−25.6951			−1.04813			−0.524063	−	0.851679i	$-0.675585\pi$
$601$	−25.6951			−1.04813			−0.524063	+	0.851679i	$0.675585\pi$
$602$	20.6013	−	23.4929i	0.839646	−	0.957501i
$603$	−1.03303	+	4.37192i	−0.0420683	+	0.178038i
$604$	15.7593	−	2.07587i	0.641236	−	0.0844659i
$605$	−4.72735	+	16.2347i	−0.192194	+	0.660036i
$606$	12.9993	+	10.4873i	0.528059	+	0.426017i
$607$	−33.7114			−1.36830			−0.684152	−	0.729340i	$-0.739827\pi$
$607$	−33.7114			−1.36830			−0.684152	+	0.729340i	$0.739827\pi$
$608$	29.5070	−	30.3003i	1.19667	−	1.22884i
$609$	17.0929	−	6.34076i	0.692639	−	0.256940i
$610$	−2.65600	−	1.04531i	−0.107538	−	0.0423234i
$611$	2.91147	+	2.11531i	0.117786	+	0.0855763i
$612$	−6.67195	−	0.676588i	−0.269698	−	0.0273494i
$613$	13.7296	+	18.8972i	0.554535	+	0.763252i	0.990619	−	0.136654i	$-0.0436349\pi$
$613$	13.7296	+	18.8972i	0.554535	+	0.763252i	−0.436084	+	0.899906i	$0.643635\pi$
$614$	−15.9013	+	18.1333i	−0.641725	+	0.731799i
$615$	1.80480	+	25.0685i	0.0727767	+	1.01086i
$616$	−5.09238	−	13.7990i	−0.205178	−	0.555979i
$617$	−2.44863	+	7.53611i	−0.0985782	+	0.303392i	−0.988170	−	0.153365i	$-0.950989\pi$
$617$	−2.44863	+	7.53611i	−0.0985782	+	0.303392i	0.889591	+	0.456757i	$0.150989\pi$
$618$	30.9688	+	11.8229i	1.24575	+	0.475587i
$619$	−17.1069	−	5.55838i	−0.687586	−	0.223410i	−0.0556723	−	0.998449i	$-0.517730\pi$
$619$	−17.1069	−	5.55838i	−0.687586	−	0.223410i	−0.631913	+	0.775039i	$0.717730\pi$
$620$	28.2582	−	28.5249i	1.13488	−	1.14559i
$621$	−5.29278	+	9.57140i	−0.212392	+	0.384087i
$622$	33.8562	−	7.66211i	1.35751	−	0.307223i
$623$	27.9353	−	38.4497i	1.11920	−	1.54045i
$624$	19.0322	+	14.1548i	0.761898	+	0.566645i
$625$	−18.2658	+	17.0692i	−0.730634	+	0.682770i
$626$	−13.5853	−	1.24783i	−0.542977	−	0.0498735i
$627$	−14.8992	−	18.8300i	−0.595017	−	0.751997i
$628$	−41.8242	+	5.50922i	−1.66897	+	0.219842i
$629$	8.99630	−	2.92307i	0.358706	−	0.116551i
$630$	−25.1234	+	8.76005i	−1.00094	+	0.349009i
$631$	−36.7577	−	11.9433i	−1.46330	−	0.475455i	−0.534224	−	0.845343i	$-0.679396\pi$
$631$	−36.7577	−	11.9433i	−1.46330	−	0.475455i	−0.929076	+	0.369888i	$0.879396\pi$
$632$	13.6329	+	3.84332i	0.542286	+	0.152879i
$633$	8.16985	−	12.2747i	0.324723	−	0.487874i
$634$	12.6701	+	21.2948i	0.503194	+	0.845725i
$635$	−1.83239	−	5.09940i	−0.0727161	−	0.202363i
$636$	5.90325	−	3.11991i	0.234079	−	0.123713i
$637$	1.74233	+	2.39811i	0.0690335	+	0.0950165i
$638$	−8.45747	+	5.03207i	−0.334834	+	0.199221i
$639$	4.15963	+	9.94121i	0.164552	+	0.393268i
$640$	15.2351	+	20.1963i	0.602221	+	0.798330i
$641$	−22.8319	−	31.4254i	−0.901806	−	1.24123i	−0.969888	−	0.243550i	$-0.921688\pi$
$641$	−22.8319	−	31.4254i	−0.901806	−	1.24123i	0.0680821	−	0.997680i	$-0.478312\pi$
$642$	18.7169	+	15.1000i	0.738696	+	0.595951i
$643$	−17.5439			−0.691864			−0.345932	−	0.938260i	$-0.612437\pi$
$643$	−17.5439			−0.691864			−0.345932	+	0.938260i	$0.612437\pi$
$644$	10.3764	+	5.63300i	0.408888	+	0.221971i
$645$	25.9080	+	16.1151i	1.02013	+	0.634532i
$646$	2.60859	+	11.5264i	0.102633	+	0.453501i
$647$	17.8336	−	5.79448i	0.701110	−	0.227804i	0.0632959	−	0.997995i	$-0.479839\pi$
$647$	17.8336	−	5.79448i	0.701110	−	0.227804i	0.637814	+	0.770190i	$0.279839\pi$
$648$	23.1945	+	10.4888i	0.911167	+	0.412037i
$649$	15.8455			0.621991
$650$	−6.78715	−	23.2370i	−0.266214	−	0.911431i
$651$	−41.9978	−	11.7633i	−1.64603	−	0.461041i
$652$	−7.17166	−	7.55630i	−0.280864	−	0.295928i
$653$	1.36907	+	4.21357i	0.0535759	+	0.164890i	0.974264	−	0.225409i	$-0.0723718\pi$
$653$	1.36907	+	4.21357i	0.0535759	+	0.164890i	−0.920688	+	0.390299i	$0.872372\pi$
$654$	0.273106	−	5.40010i	0.0106793	−	0.211161i
$655$	7.32058	−	5.67129i	0.286039	−	0.221595i
$656$	−20.1752	−	16.3329i	−0.787709	−	0.637692i
$657$	19.7625	−	32.5108i	0.771010	−	1.26837i
$658$	1.64570	−	3.83083i	0.0641560	−	0.149341i
$659$	9.45627	−	6.87038i	0.368364	−	0.267632i	−0.388168	−	0.921589i	$-0.626892\pi$
$659$	9.45627	−	6.87038i	0.368364	−	0.267632i	0.756532	+	0.653956i	$0.226892\pi$
$660$	12.4855	−	7.09905i	0.485997	−	0.276330i
$661$	−2.32708	−	1.69072i	−0.0905129	−	0.0657615i	0.541608	−	0.840631i	$-0.317816\pi$
$661$	−2.32708	−	1.69072i	−0.0905129	−	0.0657615i	−0.632121	+	0.774869i	$0.717816\pi$
$662$	−30.8549	+	18.3582i	−1.19921	+	0.713510i
$663$	−6.21384	+	2.30508i	−0.241325	+	0.0895218i
$664$	10.7653	+	13.6528i	0.417774	+	0.529830i
$665$	28.7153	+	37.0662i	1.11353	+	1.43736i
$666$	−35.9047	−	0.339936i	−1.39128	−	0.0131722i
$667$	2.44113	−	7.51303i	0.0945210	−	0.290906i
$668$	1.92185	−	10.3734i	0.0743586	−	0.401359i
$669$	−2.93051	−	1.95051i	−0.113300	−	0.0754110i
$670$	−0.287672	+	4.72656i	−0.0111137	+	0.182603i
$671$	−0.517177	−	1.59171i	−0.0199654	−	0.0614471i
$672$	11.1275	−	25.1257i	0.429251	−	0.969244i
$673$	17.4636	−	24.0366i	0.673172	−	0.926542i	−0.326655	−	0.945144i	$-0.605921\pi$
$673$	17.4636	−	24.0366i	0.673172	−	0.926542i	0.999827	+	0.0186014i	$0.00592136\pi$
$674$	−14.9725	−	1.37525i	−0.576720	−	0.0529728i
$675$	−12.4322	−	22.8131i	−0.478517	−	0.878079i
$676$	−2.51621	−	0.466170i	−0.0967773	−	0.0179296i
$677$	22.0160	+	15.9956i	0.846144	+	0.614760i	0.924080	−	0.382199i	$-0.124833\pi$
$677$	22.0160	+	15.9956i	0.846144	+	0.614760i	−0.0779360	+	0.996958i	$0.524833\pi$
$678$	1.92656	−	38.0938i	0.0739892	−	1.46298i
$679$	47.0493	−	15.2872i	1.80559	−	0.586670i
$680$	−7.05152	+	0.495701i	−0.270413	+	0.0190093i
$681$	−24.7989	+	37.2587i	−0.950297	+	1.42776i
$682$	23.4445	+	2.15343i	0.897738	+	0.0824589i
$683$	8.56408	+	2.78264i	0.327695	+	0.106475i	0.468244	−	0.883599i	$-0.344887\pi$
$683$	8.56408	+	2.78264i	0.327695	+	0.106475i	−0.140549	+	0.990074i	$0.544887\pi$
$684$	4.52589	−	44.6305i	0.173052	−	1.70649i
$685$	7.23149	−	0.222851i	0.276301	−	0.00851471i
$686$	−16.0413	+	18.2928i	−0.612458	+	0.698424i
$687$	1.74401	+	4.70135i	0.0665380	+	0.179368i
$688$	−30.4368	+	8.16006i	−1.16039	+	0.311100i
$689$	3.87866	−	5.33852i	0.147765	−	0.203381i
$690$	−3.77821	+	10.8923i	−0.143834	+	0.414663i
$691$	9.28419	+	12.7786i	0.353187	+	0.486121i	0.948235	−	0.317570i	$-0.102867\pi$
$691$	9.28419	+	12.7786i	0.353187	+	0.486121i	−0.595048	+	0.803690i	$0.702867\pi$
$692$	−15.4941	+	28.5413i	−0.588996	+	1.08498i
$693$	−13.3311	−	8.10369i	−0.506408	−	0.307834i
$694$	18.1025	−	42.1388i	0.687161	−	1.59957i
$695$	14.8373	−	5.33154i	0.562810	−	0.202237i
$696$	−17.8860	−	4.25815i	−0.677967	−	0.161405i
$697$	6.89820	−	2.24136i	0.261288	−	0.0848976i
$698$	3.04701	−	3.47469i	0.115331	−	0.131519i
$699$	−8.66986	+	30.9534i	−0.327924	+	1.17077i
$700$	−24.5216	+	13.6117i	−0.926828	+	0.514473i
$701$		−	38.6678i		−	1.46046i	−0.683201	−	0.730231i	$-0.739413\pi$
$701$		−	38.6678i		−	1.46046i	0.683201	−	0.730231i	$-0.260587\pi$
$702$	25.1451	−	0.794755i	0.949040	−	0.0299961i
$703$	19.5533	+	60.1787i	0.737465	+	2.26968i
$704$	−3.45982	+	14.4245i	−0.130397	+	0.543643i
$705$	3.95234	+	0.976795i	0.148854	+	0.0367882i
$706$	−21.6811	−	9.31404i	−0.815979	−	0.350538i
$707$		−	19.1237i		−	0.719220i
$708$	21.2434	+	20.6174i	0.798375	+	0.774848i
$709$	−26.7600	+	19.4423i	−1.00499	+	0.730171i	−0.963153	−	0.268953i	$-0.913322\pi$
$709$	−26.7600	+	19.4423i	−1.00499	+	0.730171i	−0.0418412	+	0.999124i	$0.513322\pi$
$710$	6.10620	+	9.57850i	0.229162	+	0.359475i
$711$	13.8592	−	5.79899i	0.519759	−	0.217479i
$712$	−44.9658	+	16.5941i	−1.68516	+	0.621890i
$713$	−15.2891	+	11.1082i	−0.572581	+	0.416004i
$714$	4.19373	+	6.43200i	0.156947	+	0.240712i
$715$	7.98554	−	11.7350i	0.298642	−	0.438864i
$716$	17.3869	−	8.29462i	0.649780	−	0.309985i
$717$	13.5391	+	9.01148i	0.505629	+	0.336540i
$718$	1.17368	−	12.7779i	0.0438012	−	0.476868i
$719$	11.1272	−	34.2459i	0.414973	−	1.27716i	−0.497302	−	0.867578i	$-0.665676\pi$
$719$	11.1272	−	34.2459i	0.414973	−	1.27716i	0.912275	−	0.409579i	$-0.134324\pi$
$720$	25.9756	+	6.72807i	0.968054	+	0.250740i
$721$	−11.7287	−	36.0971i	−0.436798	−	1.34433i
$722$	−50.8962	+	11.5185i	−1.89416	+	0.428674i
$723$	−28.4016	+	22.4727i	−1.05627	+	0.835770i
$724$	23.2547	+	4.30833i	0.864255	+	0.160118i
$725$	11.9437	+	14.4733i	0.443576	+	0.537523i
$726$	−17.3047	−	6.60638i	−0.642238	−	0.245186i
$727$	7.26585	+	5.27895i	0.269475	+	0.195785i	0.714314	−	0.699825i	$-0.246739\pi$
$727$	7.26585	+	5.27895i	0.269475	+	0.195785i	−0.444838	+	0.895611i	$0.646739\pi$
$728$	−1.06904	−	27.1365i	−0.0396213	−	1.00575i
$729$	26.1846	−	6.58522i	0.969801	−	0.243897i
$730$	14.6871	−	37.3180i	0.543593	−	1.38120i
$731$	2.72093	−	8.37415i	0.100637	−	0.309729i
$732$	1.37769	−	2.80685i	0.0509208	−	0.103744i
$733$	18.4725	+	6.00207i	0.682296	+	0.221692i	0.629601	−	0.776919i	$-0.283219\pi$
$733$	18.4725	+	6.00207i	0.682296	+	0.221692i	0.0526960	+	0.998611i	$0.483219\pi$
$734$	−8.89919	−	14.9570i	−0.328475	−	0.552073i
$735$	2.84749	+	1.77117i	0.105031	+	0.0653306i
$736$	−5.54594	−	10.5366i	−0.204426	−	0.388386i
$737$	−2.24627	+	1.63201i	−0.0827426	+	0.0601160i
$738$	−27.5311	−	0.260656i	−1.01343	−	0.00959490i
$739$	−5.22131	+	7.18652i	−0.192069	+	0.264360i	−0.894180	−	0.447707i	$-0.852241\pi$
$739$	−5.22131	+	7.18652i	−0.192069	+	0.264360i	0.702111	+	0.712067i	$0.252241\pi$
$740$	−37.3543	+	6.09633i	−1.37317	+	0.224106i
$741$	−15.4193	−	41.5661i	−0.566442	−	1.52697i
$742$	−7.02427	−	3.01757i	−0.257869	−	0.110779i
$743$			38.1796i			1.40067i	0.713813	+	0.700337i	$0.246967\pi$
$743$			38.1796i			1.40067i	−0.713813	+	0.700337i	$0.753033\pi$
$744$	28.6291	+	33.3918i	1.04959	+	1.22420i
$745$	25.2948	−	37.1715i	0.926731	−	1.36186i
$746$	−0.482914	−	2.13383i	−0.0176808	−	0.0781250i
$747$	17.9469	+	4.24064i	0.656644	+	0.155157i
$748$	−2.85334	−	3.00638i	−0.104329	−	0.109924i
$749$		−	27.5350i		−	1.00611i
$750$	−17.0109	−	21.4623i	−0.621149	−	0.783692i
$751$		−	25.5204i		−	0.931254i	−0.884981	−	0.465627i	$-0.845829\pi$
$751$		−	25.5204i		−	0.931254i	0.884981	−	0.465627i	$-0.154171\pi$
$752$	−3.52610	+	2.29058i	−0.128584	+	0.0835287i
$753$	14.2281	−	0.584588i	0.518501	−	0.0213036i
$754$	−17.7223	+	4.01080i	−0.645409	+	0.146065i
$755$	9.99808	−	14.6925i	0.363867	−	0.534714i
$756$	−7.32836	−	28.2100i	−0.266530	−	1.02599i
$757$		−	24.9324i		−	0.906184i	−0.891464	−	0.453092i	$-0.850321\pi$
$757$		−	24.9324i		−	0.906184i	0.891464	−	0.453092i	$-0.149679\pi$
$758$	3.60002	−	8.38009i	0.130759	−	0.304379i
$759$	−6.33797	+	2.35113i	−0.230054	+	0.0853405i
$760$	−3.31588	−	47.1696i	−0.120280	−	1.71102i
$761$	26.6111	−	36.6270i	0.964650	−	1.32773i	0.0199469	−	0.999801i	$-0.493650\pi$
$761$	26.6111	−	36.6270i	0.964650	−	1.32773i	0.944703	−	0.327926i	$-0.106350\pi$
$762$	5.73073	−	1.54678i	0.207602	−	0.0560340i
$763$	−5.00854	+	3.63892i	−0.181321	+	0.131738i
$764$	−27.9079	−	29.4047i	−1.00967	−	1.06383i
$765$	−5.53050	+	5.06256i	−0.199955	+	0.183037i
$766$	−17.6099	+	10.4776i	−0.636271	+	0.378571i
$767$	27.8246	+	9.04076i	1.00469	+	0.326443i
$768$	−23.4068	+	14.8365i	−0.844620	+	0.535367i
$769$	7.78339	−	23.9548i	0.280676	−	0.863833i	−0.706985	−	0.707229i	$-0.749945\pi$
$769$	7.78339	−	23.9548i	0.280676	−	0.863833i	0.987661	−	0.156605i	$-0.0500548\pi$
$770$	−15.3024	−	6.02248i	−0.551459	−	0.217035i
$771$	19.9625	−	0.820196i	0.718932	−	0.0295386i
$772$	15.5264	−	2.04519i	0.558808	−	0.0736082i
$773$	−12.5760	−	9.13698i	−0.452326	−	0.328634i	0.338187	−	0.941079i	$-0.390186\pi$
$773$	−12.5760	−	9.13698i	−0.452326	−	0.328634i	−0.790514	+	0.612445i	$0.790186\pi$
$774$	−19.9008	+	26.8527i	−0.715318	+	0.965200i
$775$	−2.76420	−	44.8063i	−0.0992929	−	1.60949i
$776$	−48.0189	−	13.5373i	−1.72378	−	0.485961i
$777$	25.5100	+	32.2402i	0.915166	+	1.15661i
$778$	6.87825	+	30.3926i	0.246597	+	1.08963i
$779$	14.9931	+	46.1440i	0.537183	+	1.65328i
$780$	25.9748	−	5.34220i	0.930047	−	0.191282i
$781$	−2.05821	+	6.33453i	−0.0736487	+	0.226667i
$782$	3.31317	+	0.304321i	0.118479	+	0.0108825i
$783$	−17.6657	+	8.25955i	−0.631320	+	0.295172i
$784$	−3.34523	+	0.896852i	−0.119472	+	0.0320304i
$785$	−26.5343	+	38.9929i	−0.947049	+	1.39172i
$786$	5.54049	+	8.49754i	0.197623	+	0.303097i
$787$	−15.4588	+	11.2315i	−0.551045	+	0.400358i	−0.828171	−	0.560476i	$-0.810618\pi$
$787$	−15.4588	+	11.2315i	−0.551045	+	0.400358i	0.277125	+	0.960834i	$0.410618\pi$
$788$	26.8423	−	12.8054i	0.956218	−	0.456174i
$789$	19.4026	+	24.5215i	0.690750	+	0.872987i
$790$	13.3535	−	8.51273i	0.475096	−	0.302869i
$791$	−35.3316	+	25.6699i	−1.25625	+	0.912717i
$792$	6.63966	+	14.2638i	0.235930	+	0.506841i
$793$		−	3.09010i		−	0.109733i
$794$	10.3297	−	24.0453i	0.366587	−	0.853337i
$795$	1.79106	−	7.24706i	0.0635225	−	0.257027i
$796$	−28.8610	+	3.80168i	−1.02295	+	0.134747i
$797$	0.192782	+	0.593322i	0.00682869	+	0.0210166i	0.954413	−	0.298490i	$-0.0964829\pi$
$797$	0.192782	+	0.593322i	0.00682869	+	0.0210166i	−0.947584	+	0.319506i	$0.896483\pi$
$798$	−43.0255	+	28.0531i	−1.52308	+	0.993067i
$799$		−	1.17491i		−	0.0415654i
$800$	28.1888	+	2.32238i	0.996623	+	0.0821086i
$801$	−26.4068	+	43.4410i	−0.933038	+	1.53491i
$802$	−18.3515	−	16.0927i	−0.648014	−	0.568253i
$803$	22.3641	−	7.26655i	0.789214	−	0.256431i
$804$	−5.13497	−	0.734767i	−0.181096	−	0.0259132i
$805$	12.4227	−	4.46392i	0.437844	−	0.157332i
$806$	39.9398	+	17.1578i	1.40682	+	0.604359i
$807$	−11.9762	−	3.35445i	−0.421581	−	0.118082i
$808$	−10.7131	+	16.0369i	−0.376885	+	0.564176i
$809$	−18.9868	−	26.1331i	−0.667541	−	0.918792i	0.332160	−	0.943223i	$-0.392223\pi$
$809$	−18.9868	−	26.1331i	−0.667541	−	0.918792i	−0.999702	+	0.0244311i	$0.992223\pi$
$810$	26.0144	−	11.5433i	0.914054	−	0.405592i
$811$	28.4409	−	39.1456i	0.998696	−	1.37459i	0.0725742	−	0.997363i	$-0.476879\pi$
$811$	28.4409	−	39.1456i	0.998696	−	1.37459i	0.926122	−	0.377224i	$-0.123121\pi$
$812$	9.06420	+	19.0001i	0.318091	+	0.666772i
$813$	16.0578	−	5.95678i	0.563171	−	0.208913i
$814$	−16.6857	−	14.6319i	−0.584834	−	0.512849i
$815$	−11.6419	+	0.358766i	−0.407799	+	0.0125670i
$816$	0.0863904	−	7.74314i	0.00302427	−	0.271064i
$817$	56.0170	+	18.2010i	1.95979	+	0.636774i
$818$	0.918840	−	10.0035i	0.0321265	−	0.349764i
$819$	−18.7858	−	21.8362i	−0.656428	−	0.763018i
$820$	−28.6426	+	4.67456i	−1.00024	+	0.163243i
$821$	−13.4552	+	4.37187i	−0.469590	+	0.152579i	−0.534247	−	0.845328i	$-0.679405\pi$
$821$	−13.4552	+	4.37187i	−0.469590	+	0.152579i	0.0646566	+	0.997908i	$0.479405\pi$
$822$	−0.400313	+	7.91535i	−0.0139625	+	0.276079i
$823$	22.2565	+	16.1703i	0.775811	+	0.563660i	0.903719	−	0.428126i	$-0.140826\pi$
$823$	22.2565	+	16.1703i	0.775811	+	0.563660i	−0.127908	+	0.991786i	$0.540826\pi$
$824$	−10.3861	+	36.8411i	−0.361817	+	1.28342i
$825$	3.37068	−	15.7001i	0.117352	−	0.546607i
$826$	3.10028	−	33.7531i	0.107873	−	1.17442i
$827$	−12.6394	+	17.3967i	−0.439516	+	0.604942i	−0.970105	−	0.242687i	$-0.921971\pi$
$827$	−12.6394	+	17.3967i	−0.439516	+	0.604942i	0.530588	+	0.847630i	$0.321971\pi$
$828$	−11.5562	−	5.09459i	−0.401606	−	0.177049i
$829$	5.25649	+	16.1778i	0.182565	+	0.561878i	0.999898	−	0.0142879i	$-0.00454813\pi$
$829$	5.25649	+	16.1778i	0.182565	+	0.561878i	−0.817333	+	0.576166i	$0.804548\pi$
$830$	19.4028	+	1.18091i	0.673480	+	0.0409899i
$831$	−3.21594	+	4.83174i	−0.111560	+	0.167611i
$832$	−14.3054	+	23.3552i	−0.495950	+	0.809697i
$833$	0.299050	−	0.920381i	0.0103615	−	0.0318893i
$834$	4.50054	+	16.6742i	0.155841	+	0.577380i
$835$	−7.22368	−	9.32443i	−0.249986	−	0.322685i
$836$	20.1105	−	19.0868i	0.695536	−	0.660132i
$837$	45.8045	+	8.85511i	1.58324	+	0.306077i
$838$	−1.55003	−	2.60516i	−0.0535448	−	0.0899936i
$839$	35.6588	+	25.9076i	1.23108	+	0.894430i	0.996970	−	0.0777808i	$-0.0247834\pi$
$839$	35.6588	+	25.9076i	1.23108	+	0.894430i	0.234107	+	0.972211i	$0.424783\pi$
$840$	−12.6790	−	27.9847i	−0.437469	−	0.965563i
$841$	−12.0665	+	8.76679i	−0.416085	+	0.302303i
$842$	18.6875	+	8.02799i	0.644012	+	0.276663i
$843$	−21.6400	−	6.06122i	−0.745321	−	0.208760i
$844$	14.9633	+	8.12306i	0.515059	+	0.279607i
$845$	−2.26177	+	1.75220i	−0.0778071	+	0.0602775i
$846$	−1.41826	+	4.22832i	−0.0487607	+	0.145373i
$847$	6.55372	+	20.1703i	0.225189	+	0.693059i
$848$	4.20003	+	6.46550i	0.144230	+	0.222026i
$849$	0.118776	−	0.424060i	0.00407640	−	0.0145537i
$850$	−4.83502	+	6.25177i	−0.165840	+	0.214434i
$851$	17.8141			0.610660
$852$	−11.0015	+	5.81438i	−0.376905	+	0.199197i
$853$	−18.0688	+	5.87090i	−0.618662	+	0.201016i	−0.601546	−	0.798838i	$-0.705448\pi$
$853$	−18.0688	+	5.87090i	−0.618662	+	0.201016i	−0.0171161	+	0.999854i	$0.505448\pi$
$854$	−3.49173	+	0.790226i	−0.119485	+	0.0270410i
$855$	−33.8649	−	36.9950i	−1.15815	−	1.26520i
$856$	−15.4251	+	23.0906i	−0.527220	+	0.789220i
$857$	−20.8990			−0.713898			−0.356949	−	0.934124i	$-0.616183\pi$
$857$	−20.8990			−0.713898			−0.356949	+	0.934124i	$0.616183\pi$
$858$	12.1018	+	9.76325i	0.413148	+	0.333312i
$859$	11.9399	+	16.4339i	0.407384	+	0.560716i	0.962578	−	0.271005i	$-0.0873560\pi$
$859$	11.9399	+	16.4339i	0.407384	+	0.560716i	−0.555194	+	0.831721i	$0.687356\pi$
$860$	−15.8470	+	31.4659i	−0.540377	+	1.07298i
$861$	19.5606	+	24.7212i	0.666624	+	0.842495i
$862$	−12.7536	−	21.4351i	−0.434388	−	0.730082i
$863$	12.7010	+	17.4814i	0.432347	+	0.595075i	0.968490	−	0.249052i	$-0.0801191\pi$
$863$	12.7010	+	17.4814i	0.432347	+	0.595075i	−0.536143	+	0.844127i	$0.680119\pi$
$864$	−9.65778	+	27.7620i	−0.328564	+	0.944482i
$865$	12.2784	+	34.1698i	0.417478	+	1.16181i
$866$	2.96515	−	1.76422i	0.100760	−	0.0599506i
$867$	−22.7106	−	15.1159i	−0.771291	−	0.513362i
$868$	9.17416	−	49.5186i	0.311391	−	1.68077i
$869$	8.83104	+	2.86938i	0.299573	+	0.0973370i
$870$	−16.8653	+	11.7522i	−0.571786	+	0.398437i
$871$	−4.87559	+	1.58418i	−0.165203	+	0.0536778i
$872$	6.23863	−	0.245771i	0.211267	−	0.00832284i
$873$	−48.8160	+	20.4257i	−1.65217	+	0.691306i
$874$	−2.03569	+	22.1627i	−0.0688582	+	0.749665i
$875$	−6.89610	+	30.5888i	−0.233131	+	1.03409i
$876$	39.4374	+	19.3571i	1.33247	+	0.654016i
$877$	2.47861	−	3.41151i	0.0836967	−	0.115199i	−0.765116	−	0.643893i	$-0.777318\pi$
$877$	2.47861	−	3.41151i	0.0836967	−	0.115199i	0.848812	+	0.528694i	$0.177318\pi$
$878$	10.3660	+	45.8039i	0.349837	+	1.54581i
$879$	17.9720	−	0.738411i	0.606179	−	0.0249060i
$880$	9.45859	+	13.6228i	0.318849	+	0.459224i
$881$	2.80298	+	0.910745i	0.0944349	+	0.0306838i	0.355853	−	0.934542i	$-0.384190\pi$
$881$	2.80298	+	0.910745i	0.0944349	+	0.0306838i	−0.261418	+	0.965226i	$0.584190\pi$
$882$	−2.18724	+	2.95131i	−0.0736482	+	0.0993758i
$883$	−2.30373	+	7.09016i	−0.0775268	+	0.238603i	−0.982308	−	0.187275i	$-0.940035\pi$
$883$	−2.30373	+	7.09016i	−0.0775268	+	0.238603i	0.904781	+	0.425878i	$0.140035\pi$
$884$	−3.29514	−	6.90717i	−0.110828	−	0.232313i
$885$	33.0121	−	2.37670i	1.10969	−	0.0798918i
$886$	−26.6159	−	23.3399i	−0.894180	−	0.784119i
$887$	27.3957	+	37.7070i	0.919859	+	1.26608i	0.963686	+	0.267038i	$0.0860450\pi$
$887$	27.3957	+	37.7070i	0.919859	+	1.26608i	−0.0438270	+	0.999039i	$0.513955\pi$
$888$	−3.33146	−	41.3269i	−0.111796	−	1.38684i
$889$	−5.49837	−	3.99480i	−0.184410	−	0.133981i
$890$	−19.6249	+	49.8645i	−0.657829	+	1.67146i
$891$	14.9229	+	7.46922i	0.499937	+	0.250228i
$892$	1.93934	−	3.57241i	0.0649338	−	0.119613i
$893$	7.85932			0.263002
$894$	38.3334	+	30.9259i	1.28206	+	1.03432i
$895$	6.02148	−	20.6791i	0.201276	−	0.691225i
$896$	30.0491	+	10.1921i	1.00387	+	0.340495i
$897$	−12.4709	+	0.512389i	−0.416390	+	0.0171082i
$898$	34.0329	+	29.8440i	1.13569	+	0.995906i
$899$	−33.6956			−1.12381
$900$	24.9471	−	16.6627i	0.831569	−	0.555422i
$901$	−2.15434			−0.0717714
$902$	−12.7943	−	11.2195i	−0.426004	−	0.373569i
$903$	38.2365	−	1.57102i	1.27243	−	0.0522801i
$904$	44.0090	−	1.73373i	1.46372	−	0.0576630i
$905$	20.9031	−	16.1938i	0.694844	−	0.538299i
$906$	15.1517	+	12.2238i	0.503382	+	0.406109i
$907$	13.6221			0.452313			0.226157	−	0.974091i	$-0.427384\pi$
$907$	13.6221			0.452313			0.226157	+	0.974091i	$0.427384\pi$
$908$	−45.4199	−	24.6569i	−1.50731	−	0.818268i
$909$	1.67811	+	20.3870i	0.0556593	+	0.676195i
$910$	−23.4346	−	19.3063i	−0.776851	−	0.639997i
$911$	−4.26038	−	3.09534i	−0.141153	−	0.102553i	0.514968	−	0.857209i	$-0.327804\pi$
$911$	−4.26038	−	3.09534i	−0.141153	−	0.102553i	−0.656121	+	0.754656i	$0.727804\pi$
$912$	51.7960	+	0.577889i	1.71514	+	0.0191358i
$913$	6.69949	+	9.22106i	0.221721	+	0.305173i
$914$	29.6142	+	25.9691i	0.979551	+	0.858983i
$915$	−1.31621	−	3.23854i	−0.0435126	−	0.107063i
$916$	−5.22591	+	2.49308i	−0.172669	+	0.0823737i
$917$	3.58920	−	11.0464i	0.118526	−	0.364785i
$918$	−5.03519	−	6.48891i	−0.166186	−	0.214166i
$919$	−19.0916	−	6.20325i	−0.629775	−	0.204626i	−0.0232996	−	0.999729i	$-0.507417\pi$
$919$	−19.0916	−	6.20325i	−0.629775	−	0.204626i	−0.606475	+	0.795102i	$0.707417\pi$
$920$	−12.9183	−	3.21583i	−0.425902	−	0.106023i
$921$	−29.5132	+	1.21260i	−0.972494	+	0.0399567i
$922$	−1.44862	−	6.40095i	−0.0477079	−	0.210804i
$923$	−7.22841	+	9.94905i	−0.237926	+	0.327477i
$924$	7.93745	−	16.1715i	0.261123	−	0.532002i
$925$	−22.7175	+	35.7009i	−0.746947	+	1.17384i
$926$	−1.92416	+	20.9485i	−0.0632319	+	0.688412i
$927$	15.6710	+	37.4526i	0.514704	+	1.23010i
$928$	3.04271	−	21.0110i	0.0998819	−	0.689721i
$929$	22.1752	−	7.20515i	0.727544	−	0.236393i	0.0782532	−	0.996934i	$-0.475066\pi$
$929$	22.1752	−	7.20515i	0.727544	−	0.236393i	0.649291	+	0.760540i	$0.275066\pi$
$930$	49.1666	+	0.969896i	1.61224	+	0.0318041i
$931$	6.15669	+	2.00043i	0.201777	+	0.0655614i
$932$	−36.4964	−	6.76158i	−1.19548	−	0.221483i
$933$	35.3912	+	23.5559i	1.15866	+	0.771187i
$934$	−7.91369	+	4.70852i	−0.258944	+	0.154068i
$935$	−4.63190	+	0.142740i	−0.151479	+	0.00466810i
$936$	3.52090	+	28.8354i	0.115084	+	0.942513i
$937$	−17.3203	−	23.8393i	−0.565829	−	0.778797i	0.426224	−	0.904618i	$-0.359844\pi$
$937$	−17.3203	−	23.8393i	−0.565829	−	0.778797i	−0.992053	+	0.125821i	$0.959844\pi$
$938$	3.03691	+	5.10417i	0.0991585	+	0.166657i
$939$	−10.3677	−	13.1029i	−0.338336	−	0.427598i
$940$	−0.713594	+	4.64660i	−0.0232749	+	0.151555i
$941$	31.9798	+	44.0164i	1.04251	+	1.43489i	0.895126	+	0.445814i	$0.147086\pi$
$941$	31.9798	+	44.0164i	1.04251	+	1.43489i	0.147385	+	0.989079i	$0.452914\pi$
$942$	−40.2117	−	32.4412i	−1.31017	−	1.05699i
$943$	13.6595			0.444816
$944$	−21.5083	+	26.5682i	−0.700037	+	0.864720i
$945$	−28.9892	−	14.8834i	−0.943018	−	0.484158i
$946$	−20.1482	+	4.55982i	−0.655075	+	0.148252i
$947$	11.6782	−	3.79449i	0.379492	−	0.123304i	−0.113058	−	0.993588i	$-0.536065\pi$
$947$	11.6782	−	3.79449i	0.379492	−	0.123304i	0.492550	+	0.870284i	$0.336065\pi$
$948$	8.10589	+	15.3373i	0.263267	+	0.498133i
$949$	43.4172			1.40938
$950$	−41.8199	−	32.3428i	−1.35682	−	1.04934i
$951$	−8.18527	+	29.2233i	−0.265425	+	0.947631i
$952$	−6.96226	+	5.48978i	−0.225648	+	0.177925i
$953$	5.69564	+	17.5294i	0.184500	+	0.567832i	0.999939	−	0.0110099i	$-0.00350465\pi$
$953$	5.69564	+	17.5294i	0.184500	+	0.567832i	−0.815439	+	0.578842i	$0.803505\pi$
$954$	7.75310	+	2.60054i	0.251016	+	0.0841955i
$955$	−45.3036	+	1.39611i	−1.46599	+	0.0451771i
$956$	−8.95987	+	16.5048i	−0.289783	+	0.533803i
$957$	−11.6064	−	3.25087i	−0.375180	−	0.105086i
$958$	24.1069	+	10.3561i	0.778857	+	0.334591i
$959$	7.34141	−	5.33385i	0.237066	−	0.172239i
$960$	−5.04452	+	30.5705i	−0.162811	+	0.986657i
$961$	40.1353	+	29.1600i	1.29469	+	0.940645i
$962$	−20.9516	−	35.2137i	−0.675507	−	1.13533i
$963$	2.41621	+	29.3541i	0.0778612	+	0.945921i
$964$	−28.7890	−	30.3330i	−0.927231	−	0.976961i
$965$	9.85034	−	14.4754i	0.317094	−	0.465979i
$966$	3.76814	+	13.9607i	0.121238	+	0.449179i
$967$	−9.31678	+	28.6741i	−0.299608	+	0.922097i	0.682027	+	0.731327i	$0.261099\pi$
$967$	−9.31678	+	28.6741i	−0.299608	+	0.922097i	−0.981635	+	0.190770i	$0.938901\pi$
$968$	5.80352	−	20.5860i	0.186532	−	0.661658i
$969$	−8.01968	+	12.0490i	−0.257629	+	0.387071i
$970$	−47.0349	+	29.9843i	−1.51020	+	0.962738i
$971$	−18.5759	−	57.1707i	−0.596129	−	1.83470i	−0.549024	−	0.835806i	$-0.685001\pi$
$971$	−18.5759	−	57.1707i	−0.596129	−	1.83470i	−0.0471045	−	0.998890i	$-0.514999\pi$
$972$	10.2879	+	29.4306i	0.329985	+	0.943986i
$973$	11.6233	−	15.9981i	0.372627	−	0.512877i
$974$	2.49534	−	27.1670i	0.0799558	−	0.870486i
$975$	14.8767	−	25.6461i	0.476435	−	0.821332i
$976$	3.37081	+	1.29339i	0.107897	+	0.0414005i
$977$	−26.6193	−	19.3401i	−0.851627	−	0.618744i	0.0739668	−	0.997261i	$-0.476434\pi$
$977$	−26.6193	−	19.3401i	−0.851627	−	0.618744i	−0.925594	+	0.378517i	$0.876434\pi$
$978$	0.644460	−	12.7429i	0.0206076	−	0.407472i
$979$	−29.8831	+	9.70960i	−0.955068	+	0.310320i
$980$	−1.74170	+	3.45834i	−0.0556366	+	0.110473i
$981$	5.02010	−	4.31881i	0.160279	−	0.137889i
$982$	0.750610	−	8.17195i	0.0239529	−	0.260778i
$983$	46.5391	+	15.1215i	1.48437	+	0.482300i	0.935414	−	0.353555i	$-0.115027\pi$
$983$	46.5391	+	15.1215i	1.48437	+	0.482300i	0.548951	+	0.835854i	$0.315027\pi$
$984$	−2.55450	−	31.6888i	−0.0814346	−	1.01020i
$985$	9.29610	−	31.9248i	0.296198	−	1.01721i
$986$	4.46022	+	3.91123i	0.142042	+	0.124559i
$987$	4.78761	−	1.77601i	0.152391	−	0.0565309i
$988$	46.2040	−	22.0421i	1.46994	−	0.701253i
$989$	9.74674	−	13.4152i	0.309928	−	0.426580i
$990$	16.8417	+	5.07755i	0.535265	+	0.161375i
$991$	−31.2519	−	43.0145i	−0.992748	−	1.36640i	−0.929670	−	0.368392i	$-0.879908\pi$
$991$	−31.2519	−	43.0145i	−0.992748	−	1.36640i	−0.0630779	−	0.998009i	$-0.520092\pi$
$992$	−35.4337	+	36.3864i	−1.12502	+	1.15527i
$993$	−42.3427	−	11.8599i	−1.34371	−	0.376364i
$994$	13.0907	+	5.62366i	0.415211	+	0.178372i
$995$	−18.3101	+	26.9073i	−0.580471	+	0.853019i
$996$	−3.01625	+	21.0793i	−0.0955736	+	0.667923i
$997$	−51.0502	+	16.5872i	−1.61678	+	0.525322i	−0.971178	−	0.238356i	$-0.923392\pi$
$997$	−51.0502	+	16.5872i	−1.61678	+	0.525322i	−0.645598	+	0.763678i	$0.723392\pi$
$998$	22.0338	+	19.3218i	0.697469	+	0.611620i
$999$	−30.0243	−	32.1315i	−0.949927	−	1.01660i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.r.a.59.16	✓	224
3.2	odd	2	inner	300.2.r.a.59.41	yes	224
4.3	odd	2	inner	300.2.r.a.59.38	yes	224
12.11	even	2	inner	300.2.r.a.59.19	yes	224
25.14	even	10	inner	300.2.r.a.239.19	yes	224
75.14	odd	10	inner	300.2.r.a.239.38	yes	224
100.39	odd	10	inner	300.2.r.a.239.41	yes	224
300.239	even	10	inner	300.2.r.a.239.16	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.r.a.59.16	✓	224	1.1	even	1	trivial
300.2.r.a.59.19	yes	224	12.11	even	2	inner
300.2.r.a.59.38	yes	224	4.3	odd	2	inner
300.2.r.a.59.41	yes	224	3.2	odd	2	inner
300.2.r.a.239.16	yes	224	300.239	even	10	inner
300.2.r.a.239.19	yes	224	25.14	even	10	inner
300.2.r.a.239.38	yes	224	75.14	odd	10	inner
300.2.r.a.239.41	yes	224	100.39	odd	10	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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.r (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.932419 + 1.06329i) q^{2} +(-1.73059 + 0.0711045i) q^{3} +(-0.261191 - 1.98287i) q^{4} +(-1.84864 - 1.25798i) q^{5} +(1.53803 - 1.90643i) q^{6} -2.80461 q^{7} +(2.35192 + 1.57114i) q^{8} +(2.98989 - 0.246105i) q^{9} +O(q^{10})\)	\(q+(-0.932419 + 1.06329i) q^{2} +(-1.73059 + 0.0711045i) q^{3} +(-0.261191 - 1.98287i) q^{4} +(-1.84864 - 1.25798i) q^{5} +(1.53803 - 1.90643i) q^{6} -2.80461 q^{7} +(2.35192 + 1.57114i) q^{8} +(2.98989 - 0.246105i) q^{9} +(3.06132 - 0.792685i) q^{10} +(1.50008 + 1.08987i) q^{11} +(0.593005 + 3.41297i) q^{12} +(2.01229 + 2.76969i) q^{13} +(2.61507 - 2.98213i) q^{14} +(3.28869 + 2.04561i) q^{15} +(-3.86356 + 1.03582i) q^{16} +(0.345387 - 1.06299i) q^{17} +(-2.52615 + 3.40861i) q^{18} +(7.11064 + 2.31039i) q^{19} +(-2.01157 + 3.99419i) q^{20} +(4.85363 - 0.199420i) q^{21} +(-2.55756 + 0.578810i) q^{22} +(1.23722 - 1.70289i) q^{23} +(-4.18192 - 2.55177i) q^{24} +(1.83496 + 4.65112i) q^{25} +(-4.82129 - 0.442845i) q^{26} +(-5.15677 + 0.638502i) q^{27} +(0.732538 + 5.56118i) q^{28} +(3.56932 - 1.15974i) q^{29} +(-5.24152 + 1.58949i) q^{30} +(-8.53887 - 2.77445i) q^{31} +(2.50108 - 5.07391i) q^{32} +(-2.67352 - 1.77946i) q^{33} +(0.808228 + 1.35840i) q^{34} +(5.18472 + 3.52815i) q^{35} +(-1.26893 - 5.86428i) q^{36} +(4.97454 + 6.84687i) q^{37} +(-9.08672 + 5.40646i) q^{38} +(-3.67939 - 4.65011i) q^{39} +(-2.37138 - 5.86315i) q^{40} +(3.81439 + 5.25005i) q^{41} +(-4.31358 + 5.34679i) q^{42} +7.87791 q^{43} +(1.76927 - 3.25913i) q^{44} +(-5.83683 - 3.30627i) q^{45} +(0.657066 + 2.90334i) q^{46} +(0.999744 - 0.324837i) q^{47} +(6.61259 - 2.06729i) q^{48} +0.865841 q^{49} +(-6.65646 - 2.38569i) q^{50} +(-0.522140 + 1.86416i) q^{51} +(4.96634 - 4.71354i) q^{52} +(-0.595625 - 1.83314i) q^{53} +(4.12936 - 6.07852i) q^{54} +(-1.40207 - 3.90186i) q^{55} +(-6.59621 - 4.40645i) q^{56} +(-12.4699 - 3.49274i) q^{57} +(-2.09495 + 4.87660i) q^{58} +(6.91365 - 5.02306i) q^{59} +(3.19720 - 7.05535i) q^{60} +(-0.730226 - 0.530540i) q^{61} +(10.9119 - 6.49239i) q^{62} +(-8.38547 + 0.690230i) q^{63} +(3.06301 + 7.39040i) q^{64} +(-0.235797 - 7.65159i) q^{65} +(4.38493 - 1.18354i) q^{66} +(-0.462733 + 1.42415i) q^{67} +(-2.19799 - 0.407214i) q^{68} +(-2.02005 + 3.03498i) q^{69} +(-8.58580 + 2.22317i) q^{70} +(1.11003 + 3.41631i) q^{71} +(7.41863 + 4.11872i) q^{72} +(7.45432 - 10.2600i) q^{73} +(-11.9186 - 1.09475i) q^{74} +(-3.50628 - 7.91871i) q^{75} +(2.72397 - 14.7029i) q^{76} +(-4.20714 - 3.05667i) q^{77} +(8.37517 + 0.423568i) q^{78} +(4.76272 - 1.54750i) q^{79} +(8.44538 + 2.94544i) q^{80} +(8.87886 - 1.47166i) q^{81} +(-9.13896 - 0.839431i) q^{82} +(5.84619 + 1.89954i) q^{83} +(-1.66315 - 9.57204i) q^{84} +(-1.97572 + 1.53060i) q^{85} +(-7.34551 + 8.37654i) q^{86} +(-6.09457 + 2.26083i) q^{87} +(1.81572 + 4.92013i) q^{88} +(-9.96050 + 13.7094i) q^{89} +(8.95791 - 3.12345i) q^{90} +(-5.64370 - 7.76789i) q^{91} +(-3.69977 - 2.00848i) q^{92} +(14.9746 + 4.19428i) q^{93} +(-0.586783 + 1.36591i) q^{94} +(-10.2386 - 13.2161i) q^{95} +(-3.96756 + 8.95871i) q^{96} +(-16.7757 + 5.45075i) q^{97} +(-0.807327 + 0.920644i) q^{98} +(4.75330 + 2.88942i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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