LMFDB - Embedded newform 300.2.r.a.59.40

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			59.40
Character	$\chi$	$=$	300.59
Dual form			300.2.r.a.239.40

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.921818 + 1.07250i) q^{2} +(-0.964452 - 1.43869i) q^{3} +(-0.300505 + 1.97730i) q^{4} +(-2.14307 - 0.638169i) q^{5} +(0.653946 - 2.36058i) q^{6} -4.06778 q^{7} +(-2.39766 + 1.50042i) q^{8} +(-1.13967 + 2.77510i) q^{9} +O(q^{10})$	\(q+(0.921818 + 1.07250i) q^{2} +(-0.964452 - 1.43869i) q^{3} +(-0.300505 + 1.97730i) q^{4} +(-2.14307 - 0.638169i) q^{5} +(0.653946 - 2.36058i) q^{6} -4.06778 q^{7} +(-2.39766 + 1.50042i) q^{8} +(-1.13967 + 2.77510i) q^{9} +(-1.29108 - 2.88671i) q^{10} +(2.61080 + 1.89685i) q^{11} +(3.13454 - 1.47467i) q^{12} +(-3.55251 - 4.88961i) q^{13} +(-3.74975 - 4.36268i) q^{14} +(1.14876 + 3.69870i) q^{15} +(-3.81939 - 1.18837i) q^{16} +(-0.528103 + 1.62533i) q^{17} +(-4.02685 + 1.33584i) q^{18} +(-2.49211 - 0.809734i) q^{19} +(1.90585 - 4.04571i) q^{20} +(3.92317 + 5.85228i) q^{21} +(0.372305 + 4.54863i) q^{22} +(-2.71745 + 3.74024i) q^{23} +(4.47106 + 2.00241i) q^{24} +(4.18548 + 2.73528i) q^{25} +(1.96933 - 8.31739i) q^{26} +(5.09166 - 1.03682i) q^{27} +(1.22239 - 8.04320i) q^{28} +(2.01761 - 0.655560i) q^{29} +(-2.90790 + 4.64156i) q^{30} +(1.77466 + 0.576623i) q^{31} +(-2.24626 - 5.19176i) q^{32} +(0.211002 - 5.58555i) q^{33} +(-2.22998 + 0.931871i) q^{34} +(8.71752 + 2.59593i) q^{35} +(-5.14471 - 3.08739i) q^{36} +(-1.36655 - 1.88089i) q^{37} +(-1.42883 - 3.41921i) q^{38} +(-3.60842 + 9.82676i) q^{39} +(6.09586 - 1.68538i) q^{40} +(-4.31762 - 5.94269i) q^{41} +(-2.66011 + 9.60233i) q^{42} +5.20326 q^{43} +(-4.53520 + 4.59230i) q^{44} +(4.21336 - 5.21992i) q^{45} +(-6.51640 + 0.533367i) q^{46} +(-3.27488 + 1.06407i) q^{47} +(1.97392 + 6.64106i) q^{48} +9.54682 q^{49} +(0.924667 + 7.01035i) q^{50} +(2.84768 - 0.807778i) q^{51} +(10.7358 - 5.55501i) q^{52} +(2.20348 + 6.78162i) q^{53} +(5.80557 + 4.50504i) q^{54} +(-4.38460 - 5.73122i) q^{55} +(9.75313 - 6.10336i) q^{56} +(1.23856 + 4.36632i) q^{57} +(2.56295 + 1.55957i) q^{58} +(-9.81893 + 7.13387i) q^{59} +(-7.65862 + 1.15996i) q^{60} +(-4.99307 - 3.62768i) q^{61} +(1.01749 + 2.43486i) q^{62} +(4.63591 - 11.2885i) q^{63} +(3.49751 - 7.19496i) q^{64} +(4.49287 + 12.7459i) q^{65} +(6.18500 - 4.92256i) q^{66} +(-0.983181 + 3.02592i) q^{67} +(-3.05507 - 1.53263i) q^{68} +(8.00190 + 0.302283i) q^{69} +(5.25184 + 11.7425i) q^{70} +(-1.67431 - 5.15300i) q^{71} +(-1.43127 - 8.36370i) q^{72} +(-1.58017 + 2.17491i) q^{73} +(0.757544 - 3.19946i) q^{74} +(-0.101469 - 8.65966i) q^{75} +(2.34997 - 4.68430i) q^{76} +(-10.6201 - 7.71598i) q^{77} +(-13.8655 + 5.18846i) q^{78} +(-2.42335 + 0.787395i) q^{79} +(7.42684 + 4.98418i) q^{80} +(-6.40232 - 6.32537i) q^{81} +(2.39347 - 10.1087i) q^{82} +(5.77909 + 1.87774i) q^{83} +(-12.7506 + 5.99864i) q^{84} +(2.16900 - 3.14618i) q^{85} +(4.79645 + 5.58048i) q^{86} +(-2.88903 - 2.27046i) q^{87} +(-9.10586 - 0.630726i) q^{88} +(-4.38993 + 6.04222i) q^{89} +(9.48231 - 0.292990i) q^{90} +(14.4508 + 19.8899i) q^{91} +(-6.57896 - 6.49716i) q^{92} +(-0.881994 - 3.10932i) q^{93} +(-4.16006 - 2.53142i) q^{94} +(4.82401 + 3.32570i) q^{95} +(-5.30293 + 8.23887i) q^{96} +(-14.9322 + 4.85176i) q^{97} +(8.80042 + 10.2389i) q^{98} +(-8.23939 + 5.08343i) 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 $

$2$	0.921818	+	1.07250i	0.651823	+	0.758371i
$2$	0.921818	+	1.07250i	0.651823	+	0.758371i
$3$	−0.964452	−	1.43869i	−0.556826	−	0.830629i
$3$	−0.964452	−	1.43869i	−0.556826	−	0.830629i
$4$	−0.300505	+	1.97730i	−0.150252	+	0.988648i
$5$	−2.14307	−	0.638169i	−0.958409	−	0.285398i
$5$	−2.14307	−	0.638169i	−0.958409	−	0.285398i
$6$	0.653946	−	2.36058i	0.266972	−	0.963704i
$7$	−4.06778			−1.53748			−0.768738	−	0.639564i	$-0.779115\pi$
$7$	−4.06778			−1.53748			−0.768738	+	0.639564i	$0.779115\pi$
$8$	−2.39766	+	1.50042i	−0.847699	+	0.530477i
$9$	−1.13967	+	2.77510i	−0.379889	+	0.925032i
$10$	−1.29108	−	2.88671i	−0.408276	−	0.912858i
$11$	2.61080	+	1.89685i	0.787185	+	0.571923i	0.907127	−	0.420858i	$-0.138271\pi$
$11$	2.61080	+	1.89685i	0.787185	+	0.571923i	−0.119942	+	0.992781i	$0.538271\pi$
$12$	3.13454	−	1.47467i	0.904864	−	0.425701i
$13$	−3.55251	−	4.88961i	−0.985289	−	1.35613i	−0.933931	−	0.357454i	$-0.883645\pi$
$13$	−3.55251	−	4.88961i	−0.985289	−	1.35613i	−0.0513583	−	0.998680i	$-0.516355\pi$
$14$	−3.74975	−	4.36268i	−1.00216	−	1.16598i
$15$	1.14876	+	3.69870i	0.296608	+	0.954999i
$16$	−3.81939	−	1.18837i	−0.954849	−	0.297093i
$17$	−0.528103	+	1.62533i	−0.128084	+	0.394201i	−0.994450	−	0.105207i	$-0.966449\pi$
$17$	−0.528103	+	1.62533i	−0.128084	+	0.394201i	0.866367	+	0.499409i	$0.166449\pi$
$18$	−4.02685	+	1.33584i	−0.949138	+	0.314861i
$19$	−2.49211	−	0.809734i	−0.571728	−	0.185766i	0.00886323	−	0.999961i	$-0.497179\pi$
$19$	−2.49211	−	0.809734i	−0.571728	−	0.185766i	−0.580592	+	0.814195i	$0.697179\pi$
$20$	1.90585	−	4.04571i	0.426161	−	0.904647i
$21$	3.92317	+	5.85228i	0.856107	+	1.27707i
$22$	0.372305	+	4.54863i	0.0793757	+	0.969771i
$23$	−2.71745	+	3.74024i	−0.566627	+	0.779895i	−0.992150	−	0.125053i	$-0.960090\pi$
$23$	−2.71745	+	3.74024i	−0.566627	+	0.779895i	0.425523	+	0.904947i	$0.360090\pi$
$24$	4.47106	+	2.00241i	0.912651	+	0.408740i
$25$	4.18548	+	2.73528i	0.837096	+	0.547056i
$26$	1.96933	−	8.31739i	0.386218	−	1.63117i
$27$	5.09166	−	1.03682i	0.979891	−	0.199536i
$28$	1.22239	−	8.04320i	0.231009	−	1.52002i
$29$	2.01761	−	0.655560i	0.374660	−	0.121734i	−0.115633	−	0.993292i	$-0.536890\pi$
$29$	2.01761	−	0.655560i	0.374660	−	0.121734i	0.490293	+	0.871558i	$0.336890\pi$
$30$	−2.90790	+	4.64156i	−0.530908	+	0.847430i
$31$	1.77466	+	0.576623i	0.318739	+	0.103565i	0.464017	−	0.885826i	$-0.346408\pi$
$31$	1.77466	+	0.576623i	0.318739	+	0.103565i	−0.145278	+	0.989391i	$0.546408\pi$
$32$	−2.24626	−	5.19176i	−0.397086	−	0.917781i
$33$	0.211002	−	5.58555i	0.0367307	−	0.972320i
$34$	−2.22998	+	0.931871i	−0.382438	+	0.159815i
$35$	8.71752	+	2.59593i	1.47353	+	0.438792i
$36$	−5.14471	−	3.08739i	−0.857452	−	0.514564i
$37$	−1.36655	−	1.88089i	−0.224659	−	0.309216i	0.681777	−	0.731560i	$-0.261208\pi$
$37$	−1.36655	−	1.88089i	−0.224659	−	0.309216i	−0.906436	+	0.422344i	$0.861208\pi$
$38$	−1.42883	−	3.41921i	−0.231787	−	0.554669i
$39$	−3.60842	+	9.82676i	−0.577809	+	1.57354i
$40$	6.09586	−	1.68538i	0.963840	−	0.266482i
$41$	−4.31762	−	5.94269i	−0.674299	−	0.928093i	0.325549	−	0.945525i	$-0.394451\pi$
$41$	−4.31762	−	5.94269i	−0.674299	−	0.928093i	−0.999848	+	0.0174325i	$0.994451\pi$
$42$	−2.66011	+	9.60233i	−0.410463	+	1.48167i
$43$	5.20326			0.793489			0.396745	−	0.917929i	$-0.370140\pi$
$43$	5.20326			0.793489			0.396745	+	0.917929i	$0.370140\pi$
$44$	−4.53520	+	4.59230i	−0.683707	+	0.692315i
$45$	4.21336	−	5.21992i	0.628091	−	0.778140i
$46$	−6.51640	+	0.533367i	−0.960790	+	0.0786406i
$47$	−3.27488	+	1.06407i	−0.477690	+	0.155211i	−0.537959	−	0.842971i	$-0.680804\pi$
$47$	−3.27488	+	1.06407i	−0.477690	+	0.155211i	0.0602685	+	0.998182i	$0.480804\pi$
$48$	1.97392	+	6.64106i	0.284911	+	0.958554i
$49$	9.54682			1.36383
$50$	0.924667	+	7.01035i	0.130768	+	0.991413i
$51$	2.84768	−	0.807778i	0.398755	−	0.113112i
$52$	10.7358	−	5.55501i	1.48878	−	0.770342i
$53$	2.20348	+	6.78162i	0.302672	+	0.931528i	0.980536	+	0.196340i	$0.0629057\pi$
$53$	2.20348	+	6.78162i	0.302672	+	0.931528i	−0.677864	+	0.735187i	$0.737094\pi$
$54$	5.80557	+	4.50504i	0.790038	+	0.613058i
$55$	−4.38460	−	5.73122i	−0.591219	−	0.772797i
$56$	9.75313	−	6.10336i	1.30332	−	0.815595i
$57$	1.23856	+	4.36632i	0.164051	+	0.578333i
$58$	2.56295	+	1.55957i	0.336532	+	0.204782i
$59$	−9.81893	+	7.13387i	−1.27832	+	0.928751i	−0.999501	−	0.0315939i	$-0.989942\pi$
$59$	−9.81893	+	7.13387i	−1.27832	+	0.928751i	−0.278815	+	0.960345i	$0.589942\pi$
$60$	−7.65862	+	1.15996i	−0.988724	+	0.149750i
$61$	−4.99307	−	3.62768i	−0.639297	−	0.464476i	0.220312	−	0.975430i	$-0.429293\pi$
$61$	−4.99307	−	3.62768i	−0.639297	−	0.464476i	−0.859609	+	0.510953i	$0.829293\pi$
$62$	1.01749	+	2.43486i	0.129221	+	0.309228i
$63$	4.63591	−	11.2885i	0.584070	−	1.42221i
$64$	3.49751	−	7.19496i	0.437189	−	0.899370i
$65$	4.49287	+	12.7459i	0.557272	+	1.58093i
$66$	6.18500	−	4.92256i	0.761321	−	0.605926i
$67$	−0.983181	+	3.02592i	−0.120115	+	0.369675i	−0.992979	−	0.118287i	$-0.962260\pi$
$67$	−0.983181	+	3.02592i	−0.120115	+	0.369675i	0.872865	+	0.487962i	$0.162260\pi$
$68$	−3.05507	−	1.53263i	−0.370481	−	0.185859i
$69$	8.00190	+	0.302283i	0.963316	+	0.0363906i
$70$	5.25184	+	11.7425i	0.627715	+	1.40350i
$71$	−1.67431	−	5.15300i	−0.198704	−	0.611548i	−0.999913	−	0.0131640i	$-0.995810\pi$
$71$	−1.67431	−	5.15300i	−0.198704	−	0.611548i	0.801209	−	0.598384i	$-0.204190\pi$
$72$	−1.43127	−	8.36370i	−0.168677	−	0.985671i
$73$	−1.58017	+	2.17491i	−0.184944	+	0.254554i	−0.891415	−	0.453189i	$-0.850286\pi$
$73$	−1.58017	+	2.17491i	−0.184944	+	0.254554i	0.706470	+	0.707743i	$0.250286\pi$
$74$	0.757544	−	3.19946i	0.0880627	−	0.371929i
$75$	−0.101469	−	8.65966i	−0.0117166	−	0.999931i
$76$	2.34997	−	4.68430i	0.269560	−	0.537326i
$77$	−10.6201	−	7.71598i	−1.21028	−	0.879318i
$78$	−13.8655	+	5.18846i	−1.56996	+	0.587477i
$79$	−2.42335	+	0.787395i	−0.272648	+	0.0885888i	−0.442150	−	0.896941i	$-0.645784\pi$
$79$	−2.42335	+	0.787395i	−0.272648	+	0.0885888i	0.169502	+	0.985530i	$0.445784\pi$
$80$	7.42684	+	4.98418i	0.830346	+	0.557249i
$81$	−6.40232	−	6.32537i	−0.711369	−	0.702819i
$82$	2.39347	−	10.1087i	0.264314	−	1.11632i
$83$	5.77909	+	1.87774i	0.634337	+	0.206109i	0.608495	−	0.793557i	$-0.291773\pi$
$83$	5.77909	+	1.87774i	0.634337	+	0.206109i	0.0258418	+	0.999666i	$0.491773\pi$
$84$	−12.7506	+	5.99864i	−1.39121	+	0.654505i
$85$	2.16900	−	3.14618i	0.235261	−	0.341251i
$86$	4.79645	+	5.58048i	0.517215	+	0.601759i
$87$	−2.88903	−	2.27046i	−0.309737	−	0.243419i
$88$	−9.10586	−	0.630726i	−0.970688	−	0.0672356i
$89$	−4.38993	+	6.04222i	−0.465331	+	0.640474i	−0.975604	−	0.219539i	$-0.929545\pi$
$89$	−4.38993	+	6.04222i	−0.465331	+	0.640474i	0.510272	+	0.860013i	$0.329545\pi$
$90$	9.48231	−	0.292990i	0.999523	−	0.0308838i
$91$	14.4508	+	19.8899i	1.51486	+	2.08502i
$92$	−6.57896	−	6.49716i	−0.685904	−	0.677375i
$93$	−0.881994	−	3.10932i	−0.0914585	−	0.322421i
$94$	−4.16006	−	2.53142i	−0.429077	−	0.261096i
$95$	4.82401	+	3.32570i	0.494933	+	0.341210i
$96$	−5.30293	+	8.23887i	−0.541228	+	0.840876i
$97$	−14.9322	+	4.85176i	−1.51613	+	0.492622i	−0.944675	−	0.328008i	$-0.893623\pi$
$97$	−14.9322	+	4.85176i	−1.51613	+	0.492622i	−0.571460	+	0.820630i	$0.693623\pi$
$98$	8.80042	+	10.2389i	0.888977	+	1.03429i
$99$	−8.23939	+	5.08343i	−0.828090	+	0.510904i
$100$	−6.66621	+	7.45397i	−0.666621	+	0.745397i
$101$			15.8548i			1.57762i	0.614640	+	0.788808i	$0.289301\pi$
$101$			15.8548i			1.57762i	−0.614640	+	0.788808i	$0.710699\pi$
$102$	3.49138	+	2.30951i	0.345698	+	0.228675i
$103$	−1.20914	−	3.72134i	−0.119140	−	0.366674i	0.873648	−	0.486558i	$-0.161748\pi$
$103$	−1.20914	−	3.72134i	−0.119140	−	0.366674i	−0.992788	+	0.119884i	$0.961748\pi$
$104$	15.8541	+	6.39337i	1.55463	+	0.626921i
$105$	−4.67289	−	15.0455i	−0.456027	−	1.46829i
$106$	−5.24207	+	8.61465i	−0.509155	+	0.836729i
$107$		−	20.0414i		−	1.93748i	−0.248083	−	0.968739i	$-0.579801\pi$
$107$		−	20.0414i		−	1.93748i	0.248083	−	0.968739i	$-0.420199\pi$
$108$	0.520028	+	10.3793i	0.0500397	+	0.998747i
$109$	3.65735	−	2.65722i	0.350311	−	0.254516i	−0.398688	−	0.917086i	$-0.630535\pi$
$109$	3.65735	−	2.65722i	0.350311	−	0.254516i	0.749000	+	0.662571i	$0.230535\pi$
$110$	2.10492	−	9.98561i	0.200696	−	0.952091i
$111$	−1.38805	+	3.78007i	−0.131748	+	0.358788i
$112$	15.5364	+	4.83404i	1.46806	+	0.456773i
$113$	−5.67028	+	4.11970i	−0.533415	+	0.387549i	−0.821634	−	0.570016i	$-0.806937\pi$
$113$	−5.67028	+	4.11970i	−0.533415	+	0.387549i	0.288218	+	0.957565i	$0.406937\pi$
$114$	−3.54115	+	5.35330i	−0.331659	+	0.501383i
$115$	8.21058	−	6.28141i	0.765641	−	0.585744i
$116$	0.689936	+	4.18640i	0.0640589	+	0.388698i
$117$	17.6178	−	4.28603i	1.62877	−	0.396244i
$118$	−16.7023	−	3.95466i	−1.53757	−	0.364056i
$119$	2.14820	−	6.61149i	0.196926	−	0.606074i
$120$	−8.30390	−	7.14459i	−0.758039	−	0.652209i
$121$	−0.180988	−	0.557023i	−0.0164534	−	0.0506385i
$122$	−0.712022	−	8.69911i	−0.0644634	−	0.787581i
$123$	−4.38557	+	11.9432i	−0.395433	+	1.07688i
$124$	−1.67345	+	3.33575i	−0.150280	+	0.299560i
$125$	−7.22420	−	8.53294i	−0.646152	−	0.763209i
$126$	16.3803	−	5.43391i	1.45928	−	0.484091i
$127$	−17.1586	−	12.4665i	−1.52258	−	1.10622i	−0.960189	−	0.279350i	$-0.909881\pi$
$127$	−17.1586	−	12.4665i	−1.52258	−	1.10622i	−0.562393	−	0.826870i	$-0.690119\pi$
$128$	10.9406	−	2.88137i	0.967026	−	0.254679i
$129$	−5.01829	−	7.48588i	−0.441836	−	0.659095i
$130$	−9.52832	+	16.5680i	−0.835689	+	1.45311i
$131$	0.0295118	−	0.0908279i	0.00257845	−	0.00793567i	−0.949759	−	0.312982i	$-0.898672\pi$
$131$	0.0295118	−	0.0908279i	0.00257845	−	0.00793567i	0.952337	+	0.305046i	$0.0986720\pi$
$132$	10.9809	+	2.09570i	0.955763	+	0.182407i
$133$	10.1373	+	3.29382i	0.879018	+	0.285610i
$134$	−4.15161	+	1.73489i	−0.358644	+	0.149871i
$135$	−11.5734	−	1.02737i	−0.996083	−	0.0884219i
$136$	−1.17247	−	4.68936i	−0.100538	−	0.402109i
$137$	−11.7801	+	8.55876i	−1.00644	+	0.731224i	−0.963460	−	0.267851i	$-0.913686\pi$
$137$	−11.7801	+	8.55876i	−1.00644	+	0.731224i	−0.0429837	+	0.999076i	$0.513686\pi$
$138$	7.05210	+	8.86068i	0.600315	+	0.754271i
$139$	0.880689	−	1.21216i	0.0746991	−	0.102814i	−0.770033	−	0.638005i	$-0.779760\pi$
$139$	0.880689	−	1.21216i	0.0746991	−	0.102814i	0.844732	+	0.535190i	$0.179760\pi$
$140$	−7.75258	+	16.4570i	−0.655212	+	1.39087i
$141$	4.68933	+	3.68529i	0.394913	+	0.310358i
$142$	3.98317	−	6.54582i	0.334260	−	0.549313i
$143$		−	19.5044i		−	1.63104i
$144$	7.65068	−	9.24484i	0.637557	−	0.770403i
$145$	−4.74223	+	0.117335i	−0.393820	+	0.00974418i
$146$	−3.78921	+	0.310147i	−0.313598	+	0.0256680i
$147$	−9.20744	−	13.7349i	−0.759417	−	1.13284i
$148$	4.12973	−	2.13685i	0.339462	−	0.175648i
$149$		−	13.1430i		−	1.07672i	−0.842715	−	0.538359i	$-0.819044\pi$
$149$		−	13.1430i		−	1.07672i	0.842715	−	0.538359i	$-0.180956\pi$
$150$	9.19393	−	8.09145i	0.750681	−	0.660664i
$151$			5.69211i			0.463218i	0.972809	+	0.231609i	$0.0743989\pi$
$151$			5.69211i			0.463218i	−0.972809	+	0.231609i	$0.925601\pi$
$152$	7.19015	−	1.79773i	0.583198	−	0.145815i
$153$	−3.90859	−	3.31787i	−0.315991	−	0.268234i
$154$	−1.51445	−	18.5028i	−0.122038	−	1.49100i
$155$	−3.43524	−	2.36828i	−0.275925	−	0.190225i
$156$	−18.3461	−	10.0879i	−1.46886	−	0.807678i
$157$		−	6.78163i		−	0.541233i	−0.962687	−	0.270617i	$-0.912772\pi$
$157$		−	6.78163i		−	0.541233i	0.962687	−	0.270617i	$-0.0872276\pi$
$158$	−3.07837	−	1.87321i	−0.244902	−	0.149024i
$159$	7.63151	−	9.71068i	0.605218	−	0.770107i
$160$	1.50066	+	12.5598i	0.118638	+	0.992938i
$161$	11.0540	−	15.2145i	0.871175	−	1.19907i
$162$	0.882174	−	12.6973i	0.0693101	−	0.997595i
$163$	12.0385	−	8.74651i	0.942931	−	0.685079i	−0.00619340	−	0.999981i	$-0.501971\pi$
$163$	12.0385	−	8.74651i	0.942931	−	0.685079i	0.949124	+	0.314901i	$0.101971\pi$
$164$	13.0479	−	6.75140i	1.01887	−	0.527196i
$165$	−4.01672	+	11.8356i	−0.312701	+	0.921398i
$166$	3.31339	+	7.92899i	0.257169	+	0.615409i
$167$	13.2184	+	4.29493i	1.02287	+	0.332352i	0.771969	−	0.635660i	$-0.219272\pi$
$167$	13.2184	+	4.29493i	1.02287	+	0.332352i	0.250904	+	0.968012i	$0.419272\pi$
$168$	−18.1873	−	8.14536i	−1.40318	−	0.628428i
$169$	−7.27075	+	22.3771i	−0.559288	+	1.72131i
$170$	5.37369	−	0.573958i	0.412143	−	0.0440206i
$171$	5.08726	−	5.99301i	0.389033	−	0.458297i
$172$	−1.56360	+	10.2884i	−0.119224	+	0.784481i
$173$	10.6950	+	7.77036i	0.813125	+	0.590770i	0.914735	−	0.404055i	$-0.132399\pi$
$173$	10.6950	+	7.77036i	0.813125	+	0.590770i	−0.101610	+	0.994824i	$0.532399\pi$
$174$	−0.228100	−	5.19143i	−0.0172922	−	0.393561i
$175$	−17.0256	−	11.1265i	−1.28701	−	0.841085i
$176$	−7.71749	−	10.3474i	−0.581728	−	0.779967i
$177$	19.7333	+	7.24614i	1.48325	+	0.544653i
$178$	−10.5270	+	0.861633i	−0.789030	+	0.0645821i
$179$	2.57158	+	7.91451i	0.192209	+	0.591559i	0.999998	+	0.00208652i	$0.000664160\pi$
$179$	2.57158	+	7.91451i	0.192209	+	0.591559i	−0.807789	+	0.589472i	$0.799336\pi$
$180$	9.05519	+	9.89967i	0.674934	+	0.737878i
$181$	2.91403	−	8.96846i	0.216598	−	0.666621i	−0.782438	−	0.622728i	$-0.786024\pi$
$181$	2.91403	−	8.96846i	0.216598	−	0.666621i	0.999036	−	0.0438922i	$-0.0139758\pi$
$182$	−8.01081	+	33.8333i	−0.593800	+	2.50789i
$183$	−0.403535	+	10.6822i	−0.0298302	+	0.789651i
$184$	0.903583	−	13.0451i	0.0666130	−	0.961699i
$185$	1.72828	+	4.90296i	0.127065	+	0.360473i
$186$	2.52170	−	3.81216i	0.184900	−	0.279521i
$187$	−4.46179	+	3.24168i	−0.326278	+	0.237055i
$188$	−1.11987	−	6.79516i	−0.0816749	−	0.495588i
$189$	−20.7117	+	4.21754i	−1.50656	+	0.306781i
$190$	0.880045	+	8.23943i	0.0638452	+	0.597751i
$191$	−2.50622	+	1.82087i	−0.181343	+	0.131754i	−0.674754	−	0.738043i	$-0.735750\pi$
$191$	−2.50622	+	1.82087i	−0.181343	+	0.131754i	0.493410	+	0.869797i	$0.335750\pi$
$192$	−13.7245	+	1.90735i	−0.990481	+	0.137651i
$193$			8.14234i			0.586099i	0.956097	+	0.293049i	$0.0946700\pi$
$193$			8.14234i			0.586099i	−0.956097	+	0.293049i	$0.905330\pi$
$194$	−18.9683	−	11.5423i	−1.36184	−	0.828690i
$195$	14.0042	−	18.7566i	1.00286	−	1.34319i
$196$	−2.86886	+	18.8769i	−0.204919	+	1.34835i
$197$	1.43924	+	4.42952i	0.102541	+	0.315590i	0.989146	−	0.146939i	$-0.0469421\pi$
$197$	1.43924	+	4.42952i	0.102541	+	0.315590i	−0.886604	+	0.462529i	$0.846942\pi$
$198$	−13.0472	−	4.15074i	−0.927223	−	0.294980i
$199$			14.7455i			1.04528i	0.852553	+	0.522641i	$0.175053\pi$
$199$			14.7455i			1.04528i	−0.852553	+	0.522641i	$0.824947\pi$
$200$	−14.1394	−	0.278302i	−0.999806	−	0.0196790i
$201$	5.30160	−	1.50386i	0.373946	−	0.106074i
$202$	−17.0043	+	14.6153i	−1.19642	+	1.02833i
$203$	−8.20717	+	2.66667i	−0.576031	+	0.187164i
$204$	0.741474	+	5.87345i	0.0519136	+	0.411224i
$205$	5.46051	+	15.4910i	0.381378	+	1.08194i
$206$	2.87653	−	4.72719i	0.200417	−	0.329359i
$207$	−7.28256	−	11.8038i	−0.506173	−	0.820421i
$208$	7.75776	+	22.8971i	0.537904	+	1.58763i
$209$	−4.97043	−	6.84121i	−0.343812	−	0.473217i
$210$	11.8287	−	18.8808i	0.816258	−	1.30290i
$211$	11.4404	−	15.7463i	0.787587	−	1.08402i	−0.206817	−	0.978380i	$-0.566310\pi$
$211$	11.4404	−	15.7463i	0.787587	−	1.08402i	0.994404	−	0.105641i	$-0.0336896\pi$
$212$	−14.0714	+	2.31903i	−0.966430	+	0.159271i
$213$	−5.79878	+	7.37863i	−0.397326	+	0.505576i
$214$	21.4944	−	18.4745i	1.46933	−	1.26289i
$215$	−11.1509	−	3.32056i	−0.760487	−	0.226460i
$216$	−10.6524	+	10.1255i	−0.724804	+	0.688956i
$217$	−7.21893	−	2.34557i	−0.490053	−	0.159228i
$218$	6.22128	+	1.47303i	0.421358	+	0.0997662i
$219$	4.65302	+	0.175774i	0.314422	+	0.0118777i
$220$	12.6499	−	6.94739i	0.852856	−	0.468393i
$221$	9.82333	−	3.19179i	0.660789	−	0.214703i
$222$	−5.33365	+	1.99585i	−0.357971	+	0.133953i
$223$	10.2193	+	7.42479i	0.684338	+	0.497200i	0.874794	−	0.484495i	$-0.160997\pi$
$223$	10.2193	+	7.42479i	0.684338	+	0.497200i	−0.190456	+	0.981696i	$0.560997\pi$
$224$	9.13728	+	21.1189i	0.610510	+	1.41107i
$225$	−12.3607	+	8.49780i	−0.824048	+	0.566520i
$226$	−9.64534	−	2.28375i	−0.641598	−	0.151913i
$227$	−13.7837	+	18.9716i	−0.914856	+	1.25919i	0.0506254	+	0.998718i	$0.483879\pi$
$227$	−13.7837	+	18.9716i	−0.914856	+	1.25919i	−0.965481	+	0.260473i	$0.916121\pi$
$228$	−9.00570	+	1.13690i	−0.596417	+	0.0752927i
$229$	2.96567	+	9.12739i	0.195977	+	0.603155i	0.999964	+	0.00850807i	$0.00270824\pi$
$229$	2.96567	+	9.12739i	0.195977	+	0.603155i	−0.803987	+	0.594647i	$0.797292\pi$
$230$	14.3055	+	3.01552i	0.943274	+	0.198838i
$231$	−0.858309	+	22.7208i	−0.0564726	+	1.49492i
$232$	−3.85391	+	4.59905i	−0.253022	+	0.301943i
$233$	3.17857	−	9.78263i	0.208235	−	0.640881i	−0.791330	−	0.611389i	$-0.790611\pi$
$233$	3.17857	−	9.78263i	0.208235	−	0.640881i	0.999565	−	0.0294921i	$-0.00938898\pi$
$234$	20.8372	+	14.9441i	1.36217	+	0.976929i
$235$	7.69734	−	0.190453i	0.502119	−	0.0124238i
$236$	−11.1551	−	21.5587i	−0.726138	−	1.40335i
$237$	3.47002	+	2.72705i	0.225402	+	0.177141i
$238$	9.07107	−	3.79065i	0.587990	−	0.245711i
$239$	−23.5392	−	17.1022i	−1.52262	−	1.10625i	−0.960169	−	0.279421i	$-0.909858\pi$
$239$	−23.5392	−	17.1022i	−1.52262	−	1.10625i	−0.562453	−	0.826829i	$-0.690142\pi$
$240$	0.00787567	−	15.4919i	0.000508372	−	1.00000i
$241$	19.3133	−	14.0319i	1.24408	−	0.903876i	0.246216	−	0.969215i	$-0.420813\pi$
$241$	19.3133	−	14.0319i	1.24408	−	0.903876i	0.997863	+	0.0653387i	$0.0208128\pi$
$242$	0.430569	−	0.707583i	0.0276780	−	0.0454852i
$243$	−2.92553	+	15.3115i	−0.187673	+	0.982232i
$244$	8.67343	−	8.78264i	0.555259	−	0.562251i
$245$	−20.4595	−	6.09249i	−1.30711	−	0.389235i
$246$	−16.8517	+	6.30590i	−1.07443	+	0.402050i
$247$	4.89395	+	15.0620i	0.311394	+	0.958374i
$248$	−5.12020	+	1.28019i	−0.325133	+	0.0812920i
$249$	−2.87216	−	10.1253i	−0.182016	−	0.641666i
$250$	2.49217	−	15.6137i	0.157618	−	0.987500i
$251$	−15.2271			−0.961129			−0.480564	−	0.876959i	$-0.659568\pi$
$251$	−15.2271			−0.961129			−0.480564	+	0.876959i	$0.659568\pi$
$252$	20.9275	+	12.5588i	1.31831	+	0.791130i
$253$	−14.1894	+	4.61042i	−0.892080	+	0.289854i
$254$	−2.44686	−	29.8944i	−0.153529	−	1.87574i
$255$	−6.61827	−	0.0861798i	−0.414452	−	0.00539679i
$256$	13.1755	+	9.07773i	0.823471	+	0.567358i
$257$	14.0885			0.878814			0.439407	−	0.898288i	$-0.355189\pi$
$257$	14.0885			0.878814			0.439407	+	0.898288i	$0.355189\pi$
$258$	3.40265	−	12.2827i	0.211839	−	0.764689i
$259$	5.55881	+	7.65104i	0.345408	+	0.475413i
$260$	−26.5525	+	5.05354i	−1.64672	+	0.313407i
$261$	−0.480156	+	6.34617i	−0.0297209	+	0.392818i
$262$	0.124617	−	0.0520754i	0.00769887	−	0.00321723i
$263$	15.1053	+	20.7907i	0.931436	+	1.28201i	0.959297	+	0.282399i	$0.0911303\pi$
$263$	15.1053	+	20.7907i	0.931436	+	1.28201i	−0.0278614	+	0.999612i	$0.508870\pi$
$264$	7.87474	+	13.7088i	0.484657	+	0.843720i
$265$	−0.394390	−	15.9397i	−0.0242272	−	0.979166i
$266$	5.81216	+	13.9086i	0.356366	+	0.852789i
$267$	12.9268	+	0.488326i	0.791105	+	0.0298851i
$268$	−5.68769	−	2.85334i	−0.347431	−	0.174296i
$269$	−4.54996	−	1.47837i	−0.277416	−	0.0901379i	0.167005	−	0.985956i	$-0.446590\pi$
$269$	−4.54996	−	1.47837i	−0.277416	−	0.0901379i	−0.444421	+	0.895818i	$0.646590\pi$
$270$	−9.56675	−	13.3595i	−0.582214	−	0.813036i
$271$	−28.4163	+	9.23302i	−1.72617	+	0.560866i	−0.992887	−	0.119059i	$-0.962012\pi$
$271$	−28.4163	+	9.23302i	−1.72617	+	0.560866i	−0.733281	+	0.679925i	$0.762012\pi$
$272$	3.94853	−	5.58020i	0.239415	−	0.338350i
$273$	14.6782	−	39.9731i	0.888368	−	2.41928i
$274$	−20.0384	−	4.74454i	−1.21056	−	0.286628i
$275$	5.73901	+	15.0805i	0.346075	+	0.909389i
$276$	−3.00231	+	15.7313i	−0.180718	+	0.946912i
$277$	3.46129	−	4.76406i	0.207969	−	0.286245i	−0.692272	−	0.721637i	$-0.743390\pi$
$277$	3.46129	−	4.76406i	0.207969	−	0.286245i	0.900241	+	0.435392i	$0.143390\pi$
$278$	2.11188	−	0.172857i	0.126662	−	0.0103673i
$279$	−3.62271	+	4.26770i	−0.216886	+	0.255501i
$280$	−24.7966	+	6.85576i	−1.48188	+	0.409710i
$281$	16.7821	+	5.45282i	1.00113	+	0.325288i	0.763319	−	0.646022i	$-0.223569\pi$
$281$	16.7821	+	5.45282i	1.00113	+	0.325288i	0.237815	+	0.971310i	$0.423569\pi$
$282$	0.370240	+	8.42647i	0.0220475	+	0.501789i
$283$	1.15511	−	3.55506i	0.0686641	−	0.211326i	−0.910837	−	0.412767i	$-0.864562\pi$
$283$	1.15511	−	3.55506i	0.0686641	−	0.211326i	0.979501	+	0.201441i	$0.0645623\pi$
$284$	10.6921	−	1.76211i	0.634462	−	0.104562i
$285$	0.132139	−	10.1477i	0.00782722	−	0.601100i
$286$	20.9184	−	17.9795i	1.23693	−	1.06315i
$287$	17.5631	+	24.1736i	1.03672	+	1.42692i
$288$	16.9676	−	0.316711i	0.999826	−	0.0186624i
$289$	11.3905	+	8.27566i	0.670028	+	0.486804i
$290$	−4.49731	−	4.97787i	−0.264091	−	0.292310i
$291$	21.3816	+	16.8035i	1.25341	+	0.985040i
$292$	−3.82560	−	3.77803i	−0.223876	−	0.221092i
$293$	−9.16625			−0.535498			−0.267749	−	0.963489i	$-0.586280\pi$
$293$	−9.16625			−0.535498			−0.267749	+	0.963489i	$0.586280\pi$
$294$	6.24310	−	22.5361i	0.364105	−	1.31433i
$295$	25.5953	−	9.02223i	1.49021	−	0.525295i
$296$	6.09863	+	2.45934i	0.354475	+	0.142946i
$297$	15.2600	+	6.95122i	0.885474	+	0.403351i
$298$	14.0959	−	12.1155i	0.816552	−	0.701831i
$299$	27.9421			1.61593
$300$	17.1532	+	2.40163i	0.990340	+	0.138658i
$301$	−21.1657			−1.21997
$302$	−6.10478	+	5.24709i	−0.351291	+	0.301936i
$303$	22.8102	−	15.2912i	1.31041	−	0.878458i
$304$	8.55607	+	6.05425i	0.490724	+	0.347235i
$305$	8.38541	+	10.9608i	0.480147	+	0.627612i
$306$	−0.0445987	−	7.25043i	−0.00254954	−	0.414480i
$307$	7.15824			0.408542			0.204271	−	0.978914i	$-0.434518\pi$
$307$	7.15824			0.408542			0.204271	+	0.978914i	$0.434518\pi$
$308$	18.4482	−	18.6805i	1.05118	−	1.06442i
$309$	−4.18770	+	5.32862i	−0.238230	+	0.303135i
$310$	−0.626692	−	5.86741i	−0.0355937	−	0.333246i
$311$	9.07531	+	6.59360i	0.514614	+	0.373889i	0.814571	−	0.580064i	$-0.196972\pi$
$311$	9.07531	+	6.59360i	0.514614	+	0.373889i	−0.299957	+	0.953953i	$0.596972\pi$
$312$	−6.09247	−	28.9753i	−0.344918	−	1.64040i
$313$	1.45676	+	2.00506i	0.0823408	+	0.113332i	0.848200	−	0.529675i	$-0.177686\pi$
$313$	1.45676	+	2.00506i	0.0823408	+	0.113332i	−0.765860	+	0.643008i	$0.777686\pi$
$314$	7.27329	−	6.25143i	0.410455	−	0.352788i
$315$	−17.1390	+	21.2335i	−0.965675	+	1.19637i
$316$	−0.828684	−	5.02830i	−0.0466171	−	0.282864i
$317$	4.13848	−	12.7369i	0.232440	−	0.715377i	−0.765011	−	0.644018i	$-0.777266\pi$
$317$	4.13848	−	12.7369i	0.232440	−	0.715377i	0.997451	−	0.0713591i	$-0.0227336\pi$
$318$	17.4495	−	0.766694i	0.978522	−	0.0429940i
$319$	6.51106	+	2.11557i	0.364549	+	0.118449i
$320$	−12.0870	+	13.1873i	−0.675684	+	0.737192i
$321$	−28.8334	+	19.3290i	−1.60932	+	1.07884i
$322$	26.5073	−	2.16962i	1.47719	−	0.120908i
$323$	2.63218	−	3.62288i	0.146458	−	0.201582i
$324$	14.4310	−	10.7585i	0.801725	−	0.597693i
$325$	−1.49451	−	30.1825i	−0.0829003	−	1.67422i
$326$	20.4780	+	4.84862i	1.13417	+	0.268540i
$327$	−7.35027	−	2.69904i	−0.406471	−	0.149257i
$328$	19.2687	+	7.77031i	1.06393	+	0.429044i
$329$	13.3215	−	4.32841i	0.734437	−	0.238633i
$330$	−16.3963	+	6.60231i	−0.902587	+	0.363445i
$331$	−23.4234	−	7.61073i	−1.28747	−	0.418324i	−0.416264	−	0.909244i	$-0.636661\pi$
$331$	−23.4234	−	7.61073i	−1.28747	−	0.418324i	−0.871205	+	0.490920i	$0.836661\pi$
$332$	−5.44949	+	10.8627i	−0.299079	+	0.596168i
$333$	6.77706	−	1.64871i	0.371381	−	0.0903488i
$334$	7.57868	+	18.1359i	0.414687	+	0.992352i
$335$	4.03807	−	5.85732i	0.220623	−	0.320019i
$336$	−8.02946	−	27.0143i	−0.438043	−	1.47375i
$337$	6.30910	+	8.68373i	0.343678	+	0.473033i	0.945511	−	0.325589i	$-0.105563\pi$
$337$	6.30910	+	8.68373i	0.343678	+	0.473033i	−0.601833	+	0.798622i	$0.705563\pi$
$338$	−30.7017	+	12.8297i	−1.66995	+	0.697844i
$339$	11.3957	+	4.18454i	0.618929	+	0.227273i
$340$	5.56913	+	5.23419i	0.302029	+	0.283864i
$341$	3.53951	+	4.87172i	0.191675	+	0.263818i
$342$	11.1170	−	0.0683827i	0.601139	−	0.00369771i
$343$	−10.3599			−0.559381
$344$	−12.4756	+	7.80704i	−0.672640	+	0.420928i
$345$	−16.9557	−	5.75438i	−0.912865	−	0.309805i
$346$	1.52513	+	18.6332i	0.0819914	+	1.00173i
$347$	−14.7741	+	4.80040i	−0.793116	+	0.257699i	−0.677430	−	0.735587i	$-0.736906\pi$
$347$	−14.7741	+	4.80040i	−0.793116	+	0.257699i	−0.115685	+	0.993286i	$0.536906\pi$
$348$	5.35753	−	5.03019i	0.287194	−	0.269646i
$349$	2.25215			0.120555			0.0602774	−	0.998182i	$-0.480801\pi$
$349$	2.25215			0.120555			0.0602774	+	0.998182i	$0.480801\pi$
$350$	−3.76134	−	28.5165i	−0.201052	−	1.52427i
$351$	−23.1578	−	21.2129i	−1.23607	−	1.13226i
$352$	3.98348	−	17.8154i	0.212320	−	0.949566i
$353$	−1.24018	−	3.81687i	−0.0660079	−	0.203151i	0.912613	−	0.408825i	$-0.134061\pi$
$353$	−1.24018	−	3.81687i	−0.0660079	−	0.203151i	−0.978621	+	0.205674i	$0.934061\pi$
$354$	10.4191	+	27.8436i	0.553766	+	1.47987i
$355$	0.299677	+	12.1117i	0.0159052	+	0.642823i
$356$	−10.6281	−	10.4959i	−0.563286	−	0.556281i
$357$	−11.5837	+	3.28586i	−0.613076	+	0.173906i
$358$	−6.11777	+	10.0538i	−0.323334	+	0.531357i
$359$	1.12195	−	0.815144i	0.0592142	−	0.0430216i	−0.557784	−	0.829986i	$-0.688348\pi$
$359$	1.12195	−	0.815144i	0.0592142	−	0.0430216i	0.616999	+	0.786964i	$0.288348\pi$
$360$	−2.27015	+	18.8374i	−0.119647	+	0.992816i
$361$	−9.81640	−	7.13203i	−0.516653	−	0.375370i
$362$	12.3049	−	5.14199i	0.646729	−	0.270257i
$363$	−0.626831	+	0.797608i	−0.0329001	+	0.0418635i
$364$	−43.6707	+	22.5966i	−2.28896	+	1.18438i
$365$	4.77437	−	3.65257i	0.249902	−	0.191184i
$366$	−11.8286	+	9.41425i	−0.618292	+	0.492091i
$367$	−2.19066	+	6.74216i	−0.114352	+	0.351938i	−0.991811	−	0.127712i	$-0.959237\pi$
$367$	−2.19066	+	6.74216i	−0.114352	+	0.351938i	0.877460	+	0.479650i	$0.159237\pi$
$368$	14.8238	−	11.0561i	0.772744	−	0.576341i
$369$	21.4122	−	5.20912i	1.11467	−	0.271176i
$370$	−3.66526	+	6.37321i	−0.190548	+	0.331327i
$371$	−8.96328	−	27.5861i	−0.465350	−	1.43220i
$372$	6.41308	−	0.809598i	0.332503	−	0.0419757i
$373$	−22.1263	+	30.4542i	−1.14566	+	1.57686i	−0.391479	+	0.920187i	$0.628037\pi$
$373$	−22.1263	+	30.4542i	−1.14566	+	1.57686i	−0.754176	+	0.656672i	$0.771963\pi$
$374$	−7.58965	−	1.79702i	−0.392451	−	0.0929218i
$375$	−5.30887	+	18.6230i	−0.274149	+	0.961687i
$376$	6.25548	−	7.46496i	0.322602	−	0.384976i
$377$	−10.3730	−	7.53643i	−0.534237	−	0.388146i
$378$	−23.6158	−	18.3255i	−1.21466	−	0.942562i
$379$	−20.7567	+	6.74427i	−1.06620	+	0.346430i	−0.789007	−	0.614384i	$-0.789405\pi$
$379$	−20.7567	+	6.74427i	−1.06620	+	0.346430i	−0.277194	+	0.960814i	$0.589405\pi$
$380$	−8.02553	+	8.53910i	−0.411701	+	0.438046i
$381$	−1.38674	+	36.7093i	−0.0710450	+	1.88067i
$382$	−4.26316	−	1.00940i	−0.218122	−	0.0516454i
$383$	17.3235	+	5.62875i	0.885190	+	0.287616i	0.716111	−	0.697987i	$-0.245921\pi$
$383$	17.3235	+	5.62875i	0.885190	+	0.287616i	0.169080	+	0.985602i	$0.445921\pi$
$384$	−14.6971	−	12.9613i	−0.750009	−	0.661427i
$385$	17.8356	+	23.3133i	0.908985	+	1.18816i
$386$	−8.73265	+	7.50576i	−0.444480	+	0.382033i
$387$	−5.92998	+	14.4395i	−0.301438	+	0.734003i
$388$	−5.10618	−	30.9833i	−0.259227	−	1.57294i
$389$	−2.05265	+	2.82523i	−0.104074	+	0.143245i	−0.857877	−	0.513855i	$-0.828217\pi$
$389$	−2.05265	+	2.82523i	−0.104074	+	0.143245i	0.753804	+	0.657100i	$0.228217\pi$
$390$	33.0258	−	2.27069i	1.67233	−	0.114981i
$391$	−4.64405	−	6.39199i	−0.234860	−	0.323257i
$392$	−22.8900	+	14.3242i	−1.15612	+	0.723481i
$393$	−0.159136	+	0.0451408i	−0.00802735	+	0.00227705i
$394$	−3.42393	+	5.62679i	−0.172495	+	0.283473i
$395$	5.69590	−	0.140932i	0.286592	−	0.00709105i
$396$	−7.57547	−	17.8193i	−0.380682	−	0.895454i
$397$	−9.49933	+	3.08652i	−0.476758	+	0.154908i	−0.537532	−	0.843244i	$-0.680643\pi$
$397$	−9.49933	+	3.08652i	−0.476758	+	0.154908i	0.0607739	+	0.998152i	$0.480643\pi$
$398$	−15.8145	+	13.5927i	−0.792711	+	0.681339i
$399$	−5.03818	−	17.7612i	−0.252224	−	0.889174i
$400$	−12.7355	−	15.4210i	−0.636773	−	0.771051i
$401$		−	23.7168i		−	1.18436i	−0.805806	−	0.592180i	$-0.798268\pi$
$401$		−	23.7168i		−	1.18436i	0.805806	−	0.592180i	$-0.201732\pi$
$402$	6.49999	+	4.29967i	0.324190	+	0.214448i
$403$	−3.48505	−	10.7259i	−0.173603	−	0.534294i
$404$	−31.3497	−	4.76445i	−1.55971	−	0.237040i
$405$	9.68395	+	17.6415i	0.481200	+	0.876611i
$406$	−10.4255	−	6.34399i	−0.517410	−	0.314847i
$407$		−	7.50276i		−	0.371898i
$408$	−5.61576	+	6.20948i	−0.278021	+	0.307415i
$409$	18.7930	−	13.6539i	0.929255	−	0.675143i	−0.0165551	−	0.999863i	$-0.505270\pi$
$409$	18.7930	−	13.6539i	0.929255	−	0.675143i	0.945810	+	0.324719i	$0.105270\pi$
$410$	−11.5804	+	20.1362i	−0.571917	+	0.994457i
$411$	23.6748	+	8.69345i	1.16779	+	0.428816i
$412$	7.72154	−	1.27254i	0.380413	−	0.0626935i
$413$	39.9412	−	29.0190i	1.96538	−	1.42793i
$414$	5.94637	−	18.6915i	0.292248	−	0.918637i
$415$	−11.1867	−	7.71216i	−0.549132	−	0.378575i
$416$	−17.4058	+	29.4271i	−0.853390	+	1.44278i
$417$	−2.59331	−	0.0979660i	−0.126995	−	0.00479741i
$418$	2.75536	−	11.6371i	0.134769	−	0.569191i
$419$	0.428622	−	1.31916i	0.0209395	−	0.0644453i	−0.940041	−	0.341062i	$-0.889213\pi$
$419$	0.428622	−	1.31916i	0.0209395	−	0.0644453i	0.960980	+	0.276617i	$0.0892133\pi$
$420$	31.1536	−	4.71844i	1.52014	−	0.230236i
$421$	−5.56178	−	17.1174i	−0.271065	−	0.834251i	−0.990234	−	0.139416i	$-0.955477\pi$
$421$	−5.56178	−	17.1174i	−0.271065	−	0.834251i	0.719169	−	0.694835i	$-0.244523\pi$
$422$	27.4338	−	2.24546i	1.33546	−	0.109307i
$423$	0.779365	−	10.3008i	0.0378940	−	0.500842i
$424$	−15.4584	−	12.9539i	−0.750728	−	0.629095i
$425$	−6.65610	+	5.35829i	−0.322868	+	0.259915i
$426$	−13.2590	+	0.582570i	−0.642400	+	0.0282256i
$427$	20.3107	+	14.7566i	0.982903	+	0.714121i
$428$	39.6278	+	6.02254i	1.91548	+	0.291110i
$429$	−28.0608	+	18.8110i	−1.35479	+	0.908205i
$430$	−6.71783	−	15.0203i	−0.323963	−	0.724343i
$431$	−8.05614	+	24.7943i	−0.388051	+	1.19430i	0.546192	+	0.837660i	$0.316077\pi$
$431$	−8.05614	+	24.7943i	−0.388051	+	1.19430i	−0.934243	+	0.356637i	$0.883923\pi$
$432$	−20.6792	−	2.09077i	−0.994928	−	0.100592i
$433$	−7.91328	−	2.57118i	−0.380288	−	0.123563i	0.112634	−	0.993637i	$-0.464071\pi$
$433$	−7.91328	−	2.57118i	−0.380288	−	0.123563i	−0.492922	+	0.870073i	$0.664071\pi$
$434$	−4.13892	−	9.90448i	−0.198674	−	0.475430i
$435$	4.74246	+	6.70943i	0.227383	+	0.321693i
$436$	4.15506	+	8.03018i	0.198991	+	0.384576i
$437$	9.80077	−	7.12068i	0.468835	−	0.340628i
$438$	4.10072	+	5.15239i	0.195940	+	0.246191i
$439$	5.42747	−	7.47027i	0.259039	−	0.356537i	−0.659612	−	0.751606i	$-0.729279\pi$
$439$	5.42747	−	7.47027i	0.259039	−	0.356537i	0.918651	+	0.395069i	$0.129279\pi$
$440$	19.1120	+	7.16277i	0.911127	+	0.341472i
$441$	−10.8802	+	26.4933i	−0.518104	+	1.26159i
$442$	12.4785	+	7.59326i	0.593543	+	0.361174i
$443$		−	9.13686i		−	0.434105i	−0.976160	−	0.217053i	$-0.930356\pi$
$443$		−	9.13686i		−	0.434105i	0.976160	−	0.217053i	$-0.0696444\pi$
$444$	−7.05719	−	3.88052i	−0.334920	−	0.184161i
$445$	13.2639	−	10.1474i	0.628768	−	0.481031i
$446$	1.45730	+	17.8045i	0.0690051	+	0.843069i
$447$	−18.9088	+	12.6758i	−0.894354	+	0.599545i
$448$	−14.2271	+	29.2675i	−0.672167	+	1.38276i
$449$		−	4.35202i		−	0.205384i	−0.994713	−	0.102692i	$-0.967254\pi$
$449$		−	4.35202i		−	0.205384i	0.994713	−	0.102692i	$-0.0327457\pi$
$450$	−20.5082	−	5.42342i	−0.966766	−	0.255662i
$451$		−	23.7050i		−	1.11623i
$452$	−6.44192	−	12.4498i	−0.303003	−	0.585590i
$453$	8.18920	−	5.48977i	0.384762	−	0.257932i
$454$	−33.0531	+	2.70539i	−1.55126	+	0.126970i
$455$	−18.2760	−	51.8474i	−0.856792	−	2.43064i
$456$	−9.52093	−	8.61059i	−0.445858	−	0.403228i
$457$			8.13030i			0.380319i	0.981753	+	0.190160i	$0.0609006\pi$
$457$			8.13030i			0.380319i	−0.981753	+	0.190160i	$0.939099\pi$
$458$	−7.05531	+	11.5945i	−0.329673	+	0.541774i
$459$	−1.00375	+	8.82319i	−0.0468508	+	0.411831i
$460$	9.95288	+	18.1223i	0.464055	+	0.844958i
$461$	−15.7995	+	21.7462i	−0.735857	+	1.01282i	0.262989	+	0.964799i	$0.415292\pi$
$461$	−15.7995	+	21.7462i	−0.735857	+	1.01282i	−0.998846	+	0.0480215i	$0.984708\pi$
$462$	−25.1592	+	20.0239i	−1.17051	+	0.931596i
$463$	−16.2070	+	11.7751i	−0.753205	+	0.547235i	−0.896819	−	0.442399i	$-0.854128\pi$
$463$	−16.2070	+	11.7751i	−0.753205	+	0.547235i	0.143614	+	0.989634i	$0.454128\pi$
$464$	−8.48508	+	0.106174i	−0.393910	+	0.00492901i
$465$	−0.0940977	+	7.22634i	−0.00436368	+	0.335113i
$466$	13.4219	−	5.60879i	0.621758	−	0.259822i
$467$	2.65359	+	0.862205i	0.122794	+	0.0398981i	0.369769	−	0.929124i	$-0.379437\pi$
$467$	2.65359	+	0.862205i	0.122794	+	0.0398981i	−0.246976	+	0.969022i	$0.579437\pi$
$468$	3.18052	+	36.1236i	0.147020	+	1.66981i
$469$	3.99936	−	12.3088i	0.184673	−	0.568366i
$470$	7.29981	+	8.07982i	0.336715	+	0.372694i
$471$	−9.75668	+	6.54056i	−0.449564	+	0.301373i
$472$	12.8387	−	31.8370i	0.590947	−	1.46542i
$473$	13.5846	+	9.86982i	0.624622	+	0.453815i
$474$	0.273971	+	6.23544i	0.0125839	+	0.286403i
$475$	−8.21581	−	10.2057i	−0.376967	−	0.468271i
$476$	12.4273	+	6.23442i	0.569606	+	0.285754i
$477$	−21.3309	−	1.61391i	−0.976674	−	0.0738959i
$478$	−3.35673	−	41.0108i	−0.153533	−	1.87579i
$479$	−6.48938	−	19.9722i	−0.296507	−	0.912555i	−0.982711	−	0.185146i	$-0.940724\pi$
$479$	−6.48938	−	19.9722i	−0.296507	−	0.912555i	0.686204	−	0.727409i	$-0.259276\pi$
$480$	16.6223	−	14.2723i	0.758702	−	0.651438i
$481$	−4.34215	+	13.3638i	−0.197985	+	0.609335i
$482$	32.8526	+	7.77859i	1.49639	+	0.354305i
$483$	−32.5500	−	1.22962i	−1.48107	−	0.0559496i
$484$	1.15579	−	0.190478i	0.0525358	−	0.00865811i
$485$	35.0970	−	0.868393i	1.59367	−	0.0394317i
$486$	−19.1183	+	10.9768i	−0.867225	+	0.497916i
$487$	3.99489	−	2.90246i	0.181026	−	0.131523i	−0.493582	−	0.869699i	$-0.664313\pi$
$487$	3.99489	−	2.90246i	0.181026	−	0.131523i	0.674608	+	0.738176i	$0.264313\pi$
$488$	17.4147	+	1.20625i	0.788326	+	0.0546041i
$489$	−24.1941	−	8.88416i	−1.09410	−	0.401755i
$490$	−12.3257	−	27.5589i	−0.556820	−	1.24498i
$491$	13.3366	−	9.68959i	0.601871	−	0.437285i	−0.244671	−	0.969606i	$-0.578680\pi$
$491$	13.3366	−	9.68959i	0.601871	−	0.437285i	0.846543	+	0.532321i	$0.178680\pi$
$492$	−22.2973	−	12.2605i	−1.00524	−	0.552748i
$493$			3.62548i			0.163284i
$494$	−11.6427	+	19.1332i	−0.523828	+	0.860843i
$495$	20.9017	−	5.63601i	0.939460	−	0.253320i
$496$	−6.09289	−	4.31131i	−0.273579	−	0.193584i
$497$	6.81072	+	20.9612i	0.305503	+	0.940241i
$498$	8.21177	−	12.4141i	0.367978	−	0.556288i
$499$		−	29.5012i		−	1.32066i	−0.750978	−	0.660328i	$-0.770417\pi$
$499$		−	29.5012i		−	1.32066i	0.750978	−	0.660328i	$-0.229583\pi$
$500$	19.0430	−	11.7202i	0.851631	−	0.524143i
$501$	−6.56946	−	23.1595i	−0.293502	−	1.03469i
$502$	−14.0366	−	16.3311i	−0.626486	−	0.728892i
$503$	−15.6724	+	5.09227i	−0.698798	+	0.227053i	−0.636807	−	0.771023i	$-0.719745\pi$
$503$	−15.6724	+	5.09227i	−0.698798	+	0.227053i	−0.0619914	+	0.998077i	$0.519745\pi$
$504$	5.82208	+	34.0217i	0.259336	+	1.51545i
$505$	10.1181	−	33.9780i	0.450248	−	1.51200i
$506$	−18.0247	−	10.9681i	−0.801296	−	0.487593i
$507$	39.2060	−	11.1212i	1.74120	−	0.493911i
$508$	29.8061	−	30.1814i	1.32243	−	1.33908i
$509$	−3.01849	−	4.15459i	−0.133792	−	0.184149i	0.736864	−	0.676041i	$-0.236306\pi$
$509$	−3.01849	−	4.15459i	−0.133792	−	0.184149i	−0.870656	+	0.491892i	$0.836306\pi$
$510$	−6.00841	−	7.17753i	−0.266057	−	0.317826i
$511$	6.42776	−	8.84706i	0.284348	−	0.391371i
$512$	2.40960	+	22.4988i	0.106490	+	0.994314i
$513$	−13.5285	−	1.53903i	−0.597298	−	0.0679500i
$514$	12.9870	+	15.1099i	0.572832	+	0.666467i
$515$	0.216417	+	8.74671i	0.00953648	+	0.385426i
$516$	16.3098	−	7.67310i	0.717999	−	0.337789i
$517$	−10.5684	−	3.43389i	−0.464799	−	0.151022i
$518$	−3.08152	+	13.0147i	−0.135394	+	0.571832i
$519$	0.864358	−	22.8809i	0.0379411	−	1.00436i
$520$	−29.8965	−	23.8190i	−1.31105	−	1.04453i
$521$	−2.25435	+	0.732482i	−0.0987648	+	0.0320906i	−0.357983	−	0.933728i	$-0.616535\pi$
$521$	−2.25435	+	0.732482i	−0.0987648	+	0.0320906i	0.259218	+	0.965819i	$0.416535\pi$
$522$	−7.24887	+	5.33505i	−0.317275	+	0.233509i
$523$	28.8397	+	20.9533i	1.26107	+	0.916222i	0.998810	−	0.0487748i	$-0.0155317\pi$
$523$	28.8397	+	20.9533i	1.26107	+	0.916222i	0.262262	+	0.964997i	$0.415532\pi$
$524$	0.170725	+	0.0856477i	0.00745816	+	0.00374154i
$525$	0.412753	+	35.2256i	0.0180140	+	1.53737i
$526$	−8.37364	+	35.3657i	−0.365108	+	1.54202i
$527$	−1.87441	+	2.57990i	−0.0816505	+	0.112382i
$528$	−7.44362	+	21.0827i	−0.323942	+	0.917506i
$529$	0.502477	+	1.54647i	0.0218468	+	0.0672376i
$530$	16.7317	−	15.1165i	0.726779	−	0.656617i
$531$	−8.60687	−	35.3787i	−0.373507	−	1.53531i
$532$	−9.55917	+	19.0547i	−0.414443	+	0.826126i
$533$	−13.7191	+	42.2230i	−0.594239	+	1.82888i
$534$	11.3924	+	14.3141i	0.492997	+	0.619430i
$535$	−12.7898	+	42.9501i	−0.552952	+	1.85690i
$536$	−2.18281	−	8.73029i	−0.0942829	−	0.377091i
$537$	8.90638	−	11.3329i	0.384339	−	0.489050i
$538$	−2.60868	−	6.24261i	−0.112468	−	0.269138i
$539$	24.9248	+	18.1089i	1.07359	+	0.780006i
$540$	5.50929	−	22.5754i	0.237082	−	0.971490i
$541$	18.3009	−	13.2964i	0.786819	−	0.571657i	−0.120199	−	0.992750i	$-0.538353\pi$
$541$	18.3009	−	13.2964i	0.786819	−	0.571657i	0.907018	+	0.421092i	$0.138353\pi$
$542$	−36.0971	−	21.9653i	−1.55050	−	0.943490i
$543$	−15.7133	+	4.45726i	−0.674322	+	0.191279i
$544$	9.62458	−	0.909136i	0.412651	−	0.0389789i
$545$	−9.53372	+	3.36060i	−0.408380	+	0.143952i
$546$	56.4017	−	21.1055i	2.41377	−	0.903232i
$547$	−10.9627	−	33.7396i	−0.468729	−	1.44260i	−0.854231	−	0.519894i	$-0.825972\pi$
$547$	−10.9627	−	33.7396i	−0.468729	−	1.44260i	0.385501	−	0.922707i	$-0.374028\pi$
$548$	−13.3832	−	25.8647i	−0.571703	−	1.10489i
$549$	15.7576	−	9.72191i	0.672517	−	0.414921i
$550$	−10.8835	+	20.0565i	−0.464074	+	0.855214i
$551$	−5.55892			−0.236818
$552$	−19.6394	+	11.2814i	−0.835907	+	0.480169i
$553$	9.85766	−	3.20295i	0.419190	−	0.136203i
$554$	8.30013	−	0.679365i	0.352639	−	0.0288635i
$555$	5.38701	−	7.21513i	0.228666	−	0.306265i
$556$	2.13216	+	2.10564i	0.0904236	+	0.0892992i
$557$	−15.8708			−0.672466			−0.336233	−	0.941779i	$-0.609153\pi$
$557$	−15.8708			−0.672466			−0.336233	+	0.941779i	$0.609153\pi$
$558$	−7.91658	+	0.0486962i	−0.335135	+	0.00206148i
$559$	−18.4846	−	25.4419i	−0.781816	−	1.07608i
$560$	−30.2107	−	20.2745i	−1.27664	−	0.856756i
$561$	8.96695	+	3.29269i	0.378585	+	0.139018i
$562$	9.62186	+	23.0252i	0.405874	+	0.971261i
$563$	−11.9500	−	16.4477i	−0.503632	−	0.693190i	0.479197	−	0.877707i	$-0.340928\pi$
$563$	−11.9500	−	16.4477i	−0.503632	−	0.693190i	−0.982829	+	0.184517i	$0.940928\pi$
$564$	−8.69608	+	8.16475i	−0.366171	+	0.343798i
$565$	14.7809	−	5.21020i	0.621836	−	0.219195i
$566$	4.87759	−	2.03826i	0.205021	−	0.0856746i
$567$	26.0432	+	25.7302i	1.09371	+	1.08057i
$568$	11.7461	+	9.84295i	0.492854	+	0.413001i
$569$	0.353267	+	0.114783i	0.0148097	+	0.00481197i	0.316412	−	0.948622i	$-0.397522\pi$
$569$	0.353267	+	0.114783i	0.0148097	+	0.00481197i	−0.301603	+	0.953434i	$0.597522\pi$
$570$	11.0052	−	9.21264i	0.460959	−	0.385875i
$571$	−1.76725	+	0.574214i	−0.0739571	+	0.0240301i	−0.345762	−	0.938322i	$-0.612380\pi$
$571$	−1.76725	+	0.574214i	−0.0739571	+	0.0240301i	0.271805	+	0.962352i	$0.412380\pi$
$572$	38.5659	+	5.86115i	1.61252	+	0.245067i
$573$	5.03680	+	1.84953i	0.210415	+	0.0772651i
$574$	−9.73610	+	41.1200i	−0.406377	+	1.71632i
$575$	−21.6044	+	8.22174i	−0.900967	+	0.342870i
$576$	15.9807	+	17.9058i	0.665863	+	0.746074i
$577$	−7.63108	+	10.5033i	−0.317686	+	0.437257i	−0.937759	−	0.347287i	$-0.887103\pi$
$577$	−7.63108	+	10.5033i	−0.317686	+	0.437257i	0.620073	+	0.784544i	$0.287103\pi$
$578$	1.62431	+	19.8449i	0.0675622	+	0.825440i
$579$	11.7143	−	7.85290i	0.486831	−	0.326355i
$580$	1.19305	−	9.41204i	0.0495388	−	0.390814i
$581$	−23.5080	−	7.63823i	−0.975278	−	0.316887i
$582$	1.68815	+	38.4215i	0.0699762	+	1.59262i
$583$	−7.11091	+	21.8851i	−0.294504	+	0.906389i
$584$	0.525424	−	7.58560i	0.0217422	−	0.313894i
$585$	−40.4914	−	2.05789i	−1.67411	−	0.0850832i
$586$	−8.44961	−	9.83078i	−0.349050	−	0.406106i
$587$	−20.1814	−	27.7773i	−0.832974	−	1.14649i	−0.987362	−	0.158480i	$-0.949341\pi$
$587$	−20.1814	−	27.7773i	−0.832974	−	1.14649i	0.154388	−	0.988010i	$-0.450659\pi$
$588$	29.9249	−	14.0784i	1.23408	−	0.580585i
$589$	−3.95574	−	2.87401i	−0.162993	−	0.118422i
$590$	33.2705	+	19.1340i	1.36972	+	0.787735i
$591$	4.98463	−	6.34267i	0.205040	−	0.260903i
$592$	2.98418	+	8.80783i	0.122649	+	0.361999i
$593$	−27.4395			−1.12681			−0.563403	−	0.826182i	$-0.690508\pi$
$593$	−27.4395			−1.12681			−0.563403	+	0.826182i	$0.690508\pi$
$594$	6.61175	+	22.7741i	0.271283	+	0.934431i
$595$	−8.82300	+	12.7980i	−0.361708	+	0.524665i
$596$	25.9877	+	3.94954i	1.06450	+	0.161779i
$597$	21.2143	−	14.2213i	0.868242	−	0.582041i
$598$	25.7575	+	29.9679i	1.05330	+	1.22548i
$599$	−15.6130			−0.637931			−0.318965	−	0.947766i	$-0.603335\pi$
$599$	−15.6130			−0.637931			−0.318965	+	0.947766i	$0.603335\pi$
$600$	13.2364	+	20.6106i	0.540373	+	0.841426i
$601$	22.0342			0.898793			0.449396	−	0.893333i	$-0.351639\pi$
$601$	22.0342			0.898793			0.449396	+	0.893333i	$0.351639\pi$
$602$	−19.5109	−	22.7002i	−0.795205	−	0.925189i
$603$	−7.27672	−	6.17696i	−0.296331	−	0.251545i
$604$	−11.2550	−	1.71051i	−0.457959	−	0.0695995i
$605$	0.0323941	+	1.30924i	0.00131701	+	0.0532282i
$606$	37.4267	+	10.3682i	1.52036	+	0.421180i
$607$	37.2252			1.51092			0.755462	−	0.655192i	$-0.227412\pi$
$607$	37.2252			1.51092			0.755462	+	0.655192i	$0.227412\pi$
$608$	1.39397	+	14.7573i	0.0565329	+	0.598487i
$609$	11.7519	+	9.23572i	0.476213	+	0.374250i
$610$	−4.02559	+	19.0972i	−0.162992	+	0.773222i
$611$	16.8369	+	12.2328i	0.681150	+	0.494884i
$612$	7.73496	−	6.73141i	0.312667	−	0.272101i
$613$	−16.8794	−	23.2326i	−0.681754	−	0.938355i	0.318199	−	0.948024i	$-0.396922\pi$
$613$	−16.8794	−	23.2326i	−0.681754	−	0.938355i	−0.999953	+	0.00966950i	$0.996922\pi$
$614$	6.59859	+	7.67720i	0.266297	+	0.309826i
$615$	17.0203	−	22.7963i	0.686326	−	0.919234i
$616$	37.0406	+	2.56565i	1.49241	+	0.103373i
$617$	12.6400	−	38.9018i	0.508866	−	1.56613i	−0.285308	−	0.958436i	$-0.592096\pi$
$617$	12.6400	−	38.9018i	0.508866	−	1.56613i	0.794173	−	0.607691i	$-0.207904\pi$
$618$	−9.57524	+	0.420714i	−0.385173	+	0.0169236i
$619$	30.5204	+	9.91668i	1.22672	+	0.398585i	0.849524	−	0.527549i	$-0.176889\pi$
$619$	30.5204	+	9.91668i	1.22672	+	0.398585i	0.377194	+	0.926134i	$0.376889\pi$
$620$	5.71509	−	6.08081i	0.229523	−	0.244211i
$621$	−9.95837	+	21.8616i	−0.399615	+	0.877274i
$622$	1.29416	+	15.8114i	0.0518910	+	0.633978i
$623$	17.8572	−	24.5784i	0.715436	−	0.984713i
$624$	25.4598	−	33.2441i	1.01921	−	1.33083i
$625$	10.0365	+	22.8969i	0.401460	+	0.915877i
$626$	−0.807553	+	3.41067i	−0.0322763	+	0.136318i
$627$	−5.04865	+	13.7489i	−0.201624	+	0.549080i
$628$	13.4093	+	2.03791i	0.535089	+	0.0813215i
$629$	3.77875	−	1.22779i	0.150669	−	0.0489552i
$630$	−38.5719	+	1.19182i	−1.53674	+	0.0474831i
$631$	12.5237	+	4.06919i	0.498560	+	0.161992i	0.547493	−	0.836810i	$-0.315582\pi$
$631$	12.5237	+	4.06919i	0.498560	+	0.161992i	−0.0489334	+	0.998802i	$0.515582\pi$
$632$	4.62894	−	5.52394i	0.184130	−	0.219730i
$633$	−33.6878	−	1.27260i	−1.33897	−	0.0505814i
$634$	17.4752	−	7.30261i	0.694031	−	0.290024i
$635$	28.8164	+	37.6666i	1.14354	+	1.49475i
$636$	16.9076	+	18.0079i	0.670429	+	0.714058i
$637$	−33.9152	−	46.6802i	−1.34377	−	1.84954i
$638$	3.73306	+	8.93327i	0.147793	+	0.353672i
$639$	16.2082	+	1.22633i	0.641187	+	0.0485127i
$640$	−25.2853	−	0.807015i	−0.999491	−	0.0319001i
$641$	−11.4977	−	15.8252i	−0.454130	−	0.625057i	0.519148	−	0.854684i	$-0.326249\pi$
$641$	−11.4977	−	15.8252i	−0.454130	−	0.625057i	−0.973279	+	0.229627i	$0.926249\pi$
$642$	−47.3095	−	13.1060i	−1.86716	−	0.517253i
$643$	−39.4122			−1.55426			−0.777132	−	0.629337i	$-0.783327\pi$
$643$	−39.4122			−1.55426			−0.777132	+	0.629337i	$0.783327\pi$
$644$	26.7618	+	26.4290i	1.05456	+	1.04145i
$645$	5.97727	+	19.2453i	0.235355	+	0.757782i
$646$	6.31192	−	0.516630i	0.248339	−	0.0203265i
$647$	−28.7039	+	9.32647i	−1.12847	+	0.366661i	−0.812994	−	0.582273i	$-0.802164\pi$
$647$	−28.7039	+	9.32647i	−1.12847	+	0.366661i	−0.315474	+	0.948934i	$0.602164\pi$
$648$	24.8412	+	5.55992i	0.975856	+	0.218414i
$649$	−39.1671			−1.53744
$650$	30.9930	−	29.4256i	1.21565	−	1.15417i
$651$	3.58775	+	12.6480i	0.140615	+	0.495715i
$652$	13.6768	+	26.4321i	0.535625	+	1.03516i
$653$	−13.6778	−	42.0958i	−0.535252	−	1.64734i	−0.743104	−	0.669175i	$-0.766647\pi$
$653$	−13.6778	−	42.0958i	−0.535252	−	1.64734i	0.207853	−	0.978160i	$-0.433353\pi$
$654$	−3.88089	−	10.3712i	−0.151755	−	0.405545i
$655$	−0.121209	+	0.175817i	−0.00473604	+	0.00686973i
$656$	9.42855	+	27.8284i	0.368123	+	1.08652i
$657$	−4.23473	−	6.86379i	−0.165212	−	0.267782i
$658$	16.9222	+	10.2973i	0.659695	+	0.401429i
$659$	−14.3375	+	10.4168i	−0.558508	+	0.405780i	−0.830913	−	0.556403i	$-0.812181\pi$
$659$	−14.3375	+	10.4168i	−0.558508	+	0.405780i	0.272405	+	0.962183i	$0.412181\pi$
$660$	−22.1954	−	11.4989i	−0.863954	−	0.447593i
$661$	3.16991	+	2.30308i	0.123295	+	0.0895793i	0.647724	−	0.761875i	$-0.275721\pi$
$661$	3.16991	+	2.30308i	0.123295	+	0.0895793i	−0.524429	+	0.851454i	$0.675721\pi$
$662$	−13.4296	−	32.1373i	−0.521958	−	1.24905i
$663$	−14.0661	−	11.0544i	−0.546284	−	0.429318i
$664$	−16.6737	+	4.16886i	−0.647063	+	0.161783i
$665$	−19.6230	−	13.5282i	−0.760947	−	0.524602i
$666$	8.01545	+	5.74857i	0.310592	+	0.222753i
$667$	−3.03078	+	9.32779i	−0.117352	+	0.361174i
$668$	−12.4645	+	24.8461i	−0.482268	+	0.961325i
$669$	0.825917	−	21.8633i	0.0319318	−	0.845285i
$670$	10.0043	−	1.06855i	0.386501	−	0.0412818i
$671$	−6.15471	−	18.9422i	−0.237600	−	0.731257i
$672$	21.5711	−	33.5139i	0.832125	−	1.29283i
$673$	−8.48668	+	11.6809i	−0.327138	+	0.450266i	−0.940630	−	0.339435i	$-0.889764\pi$
$673$	−8.48668	+	11.6809i	−0.327138	+	0.450266i	0.613492	+	0.789701i	$0.289764\pi$
$674$	−3.49744	+	14.7713i	−0.134716	+	0.568969i
$675$	24.1470	+	9.58754i	0.929420	+	0.369024i
$676$	−42.0612	−	21.1008i	−1.61774	−	0.811570i
$677$	21.0140	+	15.2675i	0.807632	+	0.586779i	0.913143	−	0.407639i	$-0.133648\pi$
$677$	21.0140	+	15.2675i	0.807632	+	0.586779i	−0.105511	+	0.994418i	$0.533648\pi$
$678$	6.01684	+	16.0792i	0.231076	+	0.617519i
$679$	60.7409	−	19.7359i	2.33102	−	0.757394i
$680$	−0.479933	+	10.7979i	−0.0184046	+	0.414079i
$681$	40.5880	+	1.53327i	1.55534	+	0.0587549i
$682$	−1.96213	+	8.28696i	−0.0751337	+	0.317324i
$683$	−29.3508	−	9.53665i	−1.12308	−	0.364910i	−0.312136	−	0.950037i	$-0.601044\pi$
$683$	−29.3508	−	9.53665i	−1.12308	−	0.364910i	−0.810941	+	0.585127i	$0.801044\pi$
$684$	10.3212	+	11.8599i	0.394641	+	0.453476i
$685$	30.7075	−	10.8243i	1.17327	−	0.413575i
$686$	−9.54993	−	11.1110i	−0.364618	−	0.424218i
$687$	10.2713	−	13.0696i	0.391873	−	0.498637i
$688$	−19.8733	−	6.18341i	−0.757662	−	0.235740i
$689$	25.3316	−	34.8660i	0.965057	−	1.32829i
$690$	−9.45852	−	23.4895i	−0.360080	−	0.894229i
$691$	−1.42181	−	1.95695i	−0.0540881	−	0.0744459i	0.781116	−	0.624386i	$-0.214651\pi$
$691$	−1.42181	−	1.95695i	−0.0540881	−	0.0744459i	−0.835204	+	0.549940i	$0.814651\pi$
$692$	−18.5782	+	18.8121i	−0.706237	+	0.715129i
$693$	33.5160	−	20.6783i	1.27317	−	0.785502i
$694$	−18.7675	−	11.4201i	−0.712403	−	0.433502i
$695$	−2.66094	+	2.03572i	−0.100935	+	0.0772194i
$696$	10.3335	+	1.10903i	0.391692	+	0.0420376i
$697$	11.9390	−	3.87922i	0.452222	−	0.146936i
$698$	2.07607	+	2.41543i	0.0785804	+	0.0914252i
$699$	−17.1398	+	4.86189i	−0.648285	+	0.183894i
$700$	27.1167	−	30.3211i	1.02491	−	1.14603i
$701$			24.7792i			0.935897i	0.883756	+	0.467949i	$0.155007\pi$
$701$			24.7792i			0.935897i	−0.883756	+	0.467949i	$0.844993\pi$
$702$	1.40355	−	44.3912i	0.0529737	−	1.67544i
$703$	1.88256	+	5.79392i	0.0710020	+	0.218522i
$704$	22.7791	−	12.1503i	0.858518	−	0.457932i
$705$	−7.69772	−	10.8904i	−0.289913	−	0.410157i
$706$	2.95037	−	4.84854i	0.111039	−	0.182477i
$707$		−	64.4940i		−	2.42555i
$708$	−20.2577	+	36.8411i	−0.761331	+	1.38457i
$709$	−20.9371	+	15.2117i	−0.786310	+	0.571287i	−0.906866	−	0.421419i	$-0.861532\pi$
$709$	−20.9371	+	15.2117i	−0.786310	+	0.571287i	0.120556	+	0.992706i	$0.461532\pi$
$710$	−12.7135	+	11.4862i	−0.477131	+	0.431069i
$711$	0.576716	−	7.62240i	0.0216285	−	0.285862i
$712$	1.45970	−	21.0739i	0.0547047	−	0.789777i
$713$	−6.97926	+	5.07073i	−0.261375	+	0.189900i
$714$	−14.2022	−	9.39457i	−0.531503	−	0.351583i
$715$	−12.4471	+	41.7992i	−0.465495	+	1.56320i
$716$	−16.4221	+	2.70643i	−0.613723	+	0.101144i
$717$	−1.90241	+	50.3599i	−0.0710469	+	1.88072i
$718$	1.90847	+	0.451874i	0.0712236	+	0.0168638i
$719$	−7.67165	+	23.6109i	−0.286104	+	0.880539i	0.699961	+	0.714181i	$0.253201\pi$
$719$	−7.67165	+	23.6109i	−0.286104	+	0.880539i	−0.986065	+	0.166358i	$0.946799\pi$
$720$	−22.2957	+	14.9299i	−0.830912	+	0.556404i
$721$	4.91850	+	15.1376i	0.183174	+	0.563753i
$722$	−1.39984	−	17.1025i	−0.0520966	−	0.636489i
$723$	−38.8144	−	14.2528i	−1.44352	−	0.530066i
$724$	16.8576	+	8.45696i	0.626508	+	0.314300i
$725$	10.2378	+	2.77488i	0.380222	+	0.103057i
$726$	−1.43326	+	0.0629741i	−0.0531931	+	0.00233719i
$727$	6.99800	+	5.08435i	0.259542	+	0.188568i	0.709945	−	0.704257i	$-0.248720\pi$
$727$	6.99800	+	5.08435i	0.259542	+	0.188568i	−0.450403	+	0.892825i	$0.648720\pi$
$728$	−64.4911	−	26.0068i	−2.39020	−	0.963876i
$729$	24.8500	−	10.5582i	0.920371	−	0.391046i
$730$	8.31847	+	1.75349i	0.307880	+	0.0648997i
$731$	−2.74785	+	8.45702i	−0.101633	+	0.312794i
$732$	−21.0006	−	4.00796i	−0.776205	−	0.148138i
$733$	49.4782	+	16.0764i	1.82752	+	0.593797i	0.999450	+	0.0331691i	$0.0105600\pi$
$733$	49.4782	+	16.0764i	1.82752	+	0.593797i	0.828068	+	0.560627i	$0.189440\pi$
$734$	−9.25035	+	3.86556i	−0.341437	+	0.142681i
$735$	10.9670	+	35.3108i	0.404523	+	1.30246i
$736$	25.5225	+	5.70677i	0.940773	+	0.210354i
$737$	−8.30661	+	6.03511i	−0.305978	+	0.222306i
$738$	25.3249	+	18.1627i	0.932223	+	0.668577i
$739$	6.41467	−	8.82904i	0.235968	−	0.324781i	−0.674568	−	0.738213i	$-0.735670\pi$
$739$	6.41467	−	8.82904i	0.235968	−	0.324781i	0.910535	+	0.413432i	$0.135670\pi$
$740$	−10.2140	+	1.94395i	−0.375473	+	0.0714610i
$741$	16.9496	−	21.5675i	0.622660	−	0.792301i
$742$	21.3236	−	35.0425i	0.782813	−	1.28645i
$743$			29.0732i			1.06659i	0.845929	+	0.533296i	$0.179047\pi$
$743$			29.0732i			1.06659i	−0.845929	+	0.533296i	$0.820953\pi$
$744$	6.77998	+	6.13172i	0.248566	+	0.224800i
$745$	−8.38748	+	28.1664i	−0.307293	+	1.03194i
$746$	−53.0585	+	4.34283i	−1.94261	+	0.159002i
$747$	−11.7971	+	13.8975i	−0.431635	+	0.508484i
$748$	−5.06897	−	9.79641i	−0.185340	−	0.358192i
$749$			81.5241i			2.97882i
$750$	−24.8669	+	11.4732i	−0.908012	+	0.418944i
$751$		−	23.4495i		−	0.855686i	−0.903853	−	0.427843i	$-0.859274\pi$
$751$		−	23.4495i		−	0.855686i	0.903853	−	0.427843i	$-0.140726\pi$
$752$	13.7726	−	0.172337i	0.502234	−	0.00628447i
$753$	14.6858	+	21.9072i	0.535182	+	0.798341i
$754$	−1.47921	−	18.0722i	−0.0538697	−	0.658152i
$755$	3.63253	−	12.1986i	0.132201	−	0.443952i
$756$	−2.11536	−	42.2206i	−0.0769348	−	1.53555i
$757$			6.39980i			0.232605i	0.993214	+	0.116302i	$0.0371041\pi$
$757$			6.39980i			0.232605i	−0.993214	+	0.116302i	$0.962896\pi$
$758$	−26.3671	−	16.0446i	−0.957697	−	0.582765i
$759$	20.3180	+	15.9676i	0.737495	+	0.579589i
$760$	−16.5562	−	0.735877i	−0.600558	−	0.0266931i
$761$	−0.969420	+	1.33429i	−0.0351414	+	0.0483680i	−0.826226	−	0.563339i	$-0.809517\pi$
$761$	−0.969420	+	1.33429i	−0.0351414	+	0.0483680i	0.791085	+	0.611707i	$0.209517\pi$
$762$	−40.6490	+	32.3520i	−1.47256	+	1.17199i
$763$	−14.8773	+	10.8090i	−0.538595	+	0.391312i
$764$	−2.84727	−	5.50271i	−0.103011	−	0.199081i
$765$	6.25902	+	9.60477i	0.226295	+	0.347261i
$766$	9.93230	+	23.7681i	0.358868	+	0.858777i
$767$	69.7637	+	22.6676i	2.51902	+	0.818480i
$768$	0.352875	−	27.7106i	0.0127333	−	0.999919i
$769$	−10.2666	+	31.5974i	−0.370224	+	1.13943i	0.576421	+	0.817153i	$0.304449\pi$
$769$	−10.2666	+	31.5974i	−0.370224	+	1.13943i	−0.946645	+	0.322279i	$0.895551\pi$
$770$	−8.56234	+	40.6192i	−0.308565	+	1.46382i
$771$	−13.5876	−	20.2690i	−0.489347	−	0.729969i
$772$	−16.0998	−	2.44681i	−0.579445	−	0.0880627i
$773$	−17.3306	−	12.5914i	−0.623337	−	0.452881i	0.230749	−	0.973013i	$-0.425882\pi$
$773$	−17.3306	−	12.5914i	−0.623337	−	0.452881i	−0.854085	+	0.520133i	$0.825882\pi$
$774$	−20.9527	+	6.95073i	−0.753130	+	0.249839i
$775$	5.85059	+	7.26764i	0.210159	+	0.261061i
$776$	28.5226	−	34.0374i	1.02390	−	1.22187i
$777$	5.64629	−	15.3765i	0.202560	−	0.551628i
$778$	−4.92223	+	0.402884i	−0.176471	+	0.0144441i
$779$	5.94796	+	18.3059i	0.213108	+	0.655879i
$780$	32.8791	+	33.3269i	1.17726	+	1.19330i
$781$	5.40320	−	16.6293i	0.193342	−	0.595045i
$782$	2.57443	−	10.8730i	0.0920613	−	0.388817i
$783$	9.59327	−	5.42978i	0.342836	−	0.194044i
$784$	−36.4631	−	11.3452i	−1.30225	−	0.405185i
$785$	−4.32783	+	14.5335i	−0.154467	+	0.518723i
$786$	−0.195108	−	0.129061i	−0.00695926	−	0.00460347i
$787$	20.1032	−	14.6058i	0.716601	−	0.520641i	−0.168696	−	0.985668i	$-0.553955\pi$
$787$	20.1032	−	14.6058i	0.716601	−	0.520641i	0.885296	+	0.465027i	$0.153955\pi$
$788$	−9.19096	+	1.51471i	−0.327414	+	0.0539592i
$789$	15.3431	−	41.7836i	0.546228	−	1.48753i
$790$	5.40173	+	5.97893i	0.192185	+	0.212721i
$791$	23.0655	−	16.7580i	0.820113	−	0.595847i
$792$	12.1280	−	24.5508i	0.430949	−	0.872375i
$793$			37.3015i			1.32462i
$794$	−12.0669	−	7.34281i	−0.428240	−	0.260586i
$795$	−22.5519	+	15.9404i	−0.799833	+	0.565349i
$796$	−29.1562	−	4.43110i	−1.03342	−	0.157056i
$797$	8.62486	+	26.5446i	0.305508	+	0.940257i	0.979487	+	0.201507i	$0.0645838\pi$
$797$	8.62486	+	26.5446i	0.305508	+	0.940257i	−0.673979	+	0.738751i	$0.735416\pi$
$798$	14.4046	−	21.7761i	0.509917	−	0.770864i
$799$		−	5.88471i		−	0.208186i
$800$	4.79924	−	27.8741i	0.169679	−	0.985499i
$801$	−11.7647	−	19.0686i	−0.415685	−	0.673755i
$802$	25.4362	−	21.8625i	0.898183	−	0.771993i
$803$	−8.25098	+	2.68091i	−0.291171	+	0.0946071i
$804$	1.38042	+	10.9347i	0.0486837	+	0.385638i
$805$	−33.3988	+	25.5514i	−1.17715	+	0.900568i
$806$	8.29090	−	13.6250i	0.292034	−	0.479920i
$807$	2.26130	+	7.97181i	0.0796014	+	0.280621i
$808$	−23.7889	−	38.0145i	−0.836889	−	1.33734i
$809$	7.65853	+	10.5411i	0.269260	+	0.370604i	0.922140	−	0.386857i	$-0.126439\pi$
$809$	7.65853	+	10.5411i	0.269260	+	0.370604i	−0.652880	+	0.757461i	$0.726439\pi$
$810$	−9.99359	+	26.6482i	−0.351139	+	0.936323i
$811$	−19.3916	+	26.6902i	−0.680930	+	0.937219i	−0.999945	−	0.0105305i	$-0.996648\pi$
$811$	−19.3916	+	26.6902i	−0.680930	+	0.937219i	0.319015	+	0.947750i	$0.396648\pi$
$812$	−2.80651	−	17.0294i	−0.0984891	−	0.597613i
$813$	40.6896	+	31.9775i	1.42705	+	1.12150i
$814$	8.04670	−	6.91618i	0.282037	−	0.242412i
$815$	−31.3812	+	11.0617i	−1.09923	+	0.387476i
$816$	−11.8364	−	0.298884i	−0.414355	−	0.0104630i
$817$	−12.9671	−	4.21326i	−0.453660	−	0.147403i
$818$	31.9676	+	7.56905i	1.11772	+	0.264646i
$819$	−71.6654	+	17.4346i	−2.50419	+	0.609215i
$820$	−32.2711	+	6.14193i	−1.12696	+	0.214485i
$821$	28.5949	−	9.29105i	0.997969	−	0.324260i	0.235915	−	0.971774i	$-0.424191\pi$
$821$	28.5949	−	9.29105i	0.997969	−	0.324260i	0.762054	+	0.647514i	$0.224191\pi$
$822$	12.5001	+	33.4049i	0.435991	+	1.16513i
$823$	−8.40793	−	6.10872i	−0.293082	−	0.212937i	0.431521	−	0.902103i	$-0.357977\pi$
$823$	−8.40793	−	6.10872i	−0.293082	−	0.212937i	−0.724603	+	0.689166i	$0.757977\pi$
$824$	8.48264	+	7.10828i	0.295507	+	0.247629i
$825$	16.1612	−	22.8011i	0.562661	−	0.793832i
$826$	67.9414	+	16.0867i	2.36398	+	0.559727i
$827$	2.26634	−	3.11935i	0.0788085	−	0.108471i	−0.767793	−	0.640698i	$-0.778645\pi$
$827$	2.26634	−	3.11935i	0.0788085	−	0.108471i	0.846601	+	0.532228i	$0.178645\pi$
$828$	25.5281	−	10.8527i	0.887161	−	0.377156i
$829$	−11.8363	−	36.4284i	−0.411092	−	1.26521i	−0.915700	−	0.401862i	$-0.868363\pi$
$829$	−11.8363	−	36.4284i	−0.411092	−	1.26521i	0.504608	−	0.863349i	$-0.331637\pi$
$830$	−2.04079	−	19.1069i	−0.0708367	−	0.663209i
$831$	−10.1923	−	0.385027i	−0.353566	−	0.0133564i
$832$	−47.6055	+	8.45871i	−1.65042	+	0.293253i
$833$	−5.04170	+	15.5168i	−0.174685	+	0.537624i
$834$	−2.28549	−	2.87163i	−0.0791402	−	0.0994364i
$835$	−25.5871	−	17.6399i	−0.885479	−	0.610455i
$836$	15.0207	−	7.77220i	0.519503	−	0.268807i
$837$	9.63383	+	1.09597i	0.332994	+	0.0378821i
$838$	1.80991	−	0.756331i	0.0625223	−	0.0261270i
$839$	4.43162	+	3.21976i	0.152996	+	0.111158i	0.661650	−	0.749813i	$-0.269857\pi$
$839$	4.43162	+	3.21976i	0.152996	+	0.111158i	−0.508653	+	0.860971i	$0.669857\pi$
$840$	33.7784	+	29.0626i	1.16547	+	1.00276i
$841$	−19.8205	+	14.4004i	−0.683466	+	0.496567i
$842$	13.2314	−	21.7441i	0.455985	−	0.749352i
$843$	−8.34056	−	29.4032i	−0.287264	−	1.01270i
$844$	27.6972	+	27.3528i	0.953378	+	0.941523i
$845$	29.8621	−	43.3156i	1.02729	−	1.49010i
$846$	11.7660	−	8.65958i	0.404524	−	0.297723i
$847$	0.736218	+	2.26585i	0.0252968	+	0.0778554i
$848$	−0.356875	−	28.5202i	−0.0122551	−	0.979389i
$849$	−6.22868	+	1.76684i	−0.213768	+	0.0606377i
$850$	−11.8825	−	2.19929i	−0.407565	−	0.0754351i
$851$	10.7485			0.368454
$852$	−12.8472	−	13.6832i	−0.440137	−	0.468779i
$853$	−10.1345	+	3.29290i	−0.346999	+	0.112747i	−0.477331	−	0.878724i	$-0.658396\pi$
$853$	−10.1345	+	3.29290i	−0.346999	+	0.112747i	0.130332	+	0.991470i	$0.458396\pi$
$854$	2.89635	+	35.3861i	0.0991110	+	1.21089i
$855$	−14.7269	+	9.59689i	−0.503649	+	0.328207i
$856$	30.0705	+	48.0524i	1.02779	+	1.64240i
$857$	−54.9309			−1.87640			−0.938202	−	0.346089i	$-0.887509\pi$
$857$	−54.9309			−1.87640			−0.938202	+	0.346089i	$0.887509\pi$
$858$	−46.0417	−	12.7548i	−1.57184	−	0.435442i
$859$	−11.1566	−	15.3558i	−0.380659	−	0.523932i	0.575100	−	0.818083i	$-0.304963\pi$
$859$	−11.1566	−	15.3558i	−0.380659	−	0.523932i	−0.955759	+	0.294151i	$0.904963\pi$
$860$	9.91663	−	21.0508i	0.338154	−	0.717828i
$861$	17.8395	−	48.5821i	0.607969	−	1.65567i
$862$	−34.0181	+	14.2156i	−1.15866	+	0.484185i
$863$	−10.2671	−	14.1315i	−0.349497	−	0.481042i	0.597688	−	0.801729i	$-0.296086\pi$
$863$	−10.2671	−	14.1315i	−0.349497	−	0.481042i	−0.947185	+	0.320687i	$0.896086\pi$
$864$	−16.8201	−	24.1057i	−0.572231	−	0.820093i
$865$	−17.9613	−	23.4776i	−0.610702	−	0.798263i
$866$	−4.53702	−	10.8571i	−0.154174	−	0.368941i
$867$	0.920567	−	24.3689i	0.0312641	−	0.827610i
$868$	6.80721	−	13.5691i	0.231052	−	0.460566i
$869$	−7.82045	−	2.54102i	−0.265291	−	0.0861981i
$870$	−2.82418	+	11.2712i	−0.0957486	+	0.382128i
$871$	18.2883	−	5.94224i	0.619676	−	0.201345i
$872$	−4.78214	+	11.8587i	−0.161944	+	0.401585i
$873$	3.55361	−	46.9677i	0.120271	−	1.58961i
$874$	16.6714	+	3.94734i	0.563920	+	0.133521i
$875$	29.3864	+	34.7101i	0.993443	+	1.17342i
$876$	−1.74581	+	9.14758i	−0.0589855	+	0.309068i
$877$	−14.9247	+	20.5421i	−0.503972	+	0.693658i	−0.982888	−	0.184202i	$-0.941030\pi$
$877$	−14.9247	+	20.5421i	−0.503972	+	0.693658i	0.478916	+	0.877861i	$0.341030\pi$
$878$	13.0150	−	1.06528i	0.439235	−	0.0359514i
$879$	8.84040	+	13.1874i	0.298179	+	0.444800i
$880$	9.93569	+	27.1003i	0.334932	+	0.913551i
$881$	−23.0645	−	7.49412i	−0.777064	−	0.252483i	−0.106478	−	0.994315i	$-0.533957\pi$
$881$	−23.0645	−	7.49412i	−0.777064	−	0.252483i	−0.670586	+	0.741832i	$0.733957\pi$
$882$	−38.4436	+	12.7530i	−1.29446	+	0.429417i
$883$	−4.89375	+	15.0614i	−0.164688	+	0.506857i	−0.999013	−	0.0444154i	$-0.985857\pi$
$883$	−4.89375	+	15.0614i	−0.164688	+	0.506857i	0.834325	+	0.551272i	$0.185857\pi$
$884$	3.35916	+	20.3828i	0.112981	+	0.685547i
$885$	−37.6656	−	28.1222i	−1.26611	−	0.945316i
$886$	9.79927	−	8.42252i	0.329213	−	0.282960i
$887$	24.7206	+	34.0250i	0.830038	+	1.14245i	0.987916	+	0.154990i	$0.0495346\pi$
$887$	24.7206	+	34.0250i	0.830038	+	1.14245i	−0.157878	+	0.987459i	$0.550465\pi$
$888$	−2.34360	−	11.1460i	−0.0786460	−	0.374034i
$889$	69.7975	+	50.7108i	2.34093	+	1.70079i
$890$	23.1099	+	4.87146i	0.774645	+	0.163292i
$891$	−4.71685	−	28.6585i	−0.158020	−	0.960096i
$892$	−17.7520	+	17.9755i	−0.594379	+	0.601863i
$893$	9.02296			0.301942
$894$	−31.0252	−	8.59482i	−1.03764	−	0.287454i
$895$	−0.460275	−	18.6024i	−0.0153853	−	0.621811i
$896$	−44.5041	+	11.7208i	−1.48678	+	0.391563i
$897$	−26.9488	−	40.2001i	−0.899794	−	1.34224i
$898$	4.66753	−	4.01177i	0.155758	−	0.133874i
$899$	3.95858			0.132026
$900$	−13.0882	−	26.9944i	−0.436274	−	0.899814i
$901$	−12.1861			−0.405976
$902$	25.4236	−	21.8517i	0.846514	−	0.727583i
$903$	20.4133	+	30.4509i	0.679311	+	1.01334i
$904$	7.41413	−	18.3854i	0.246590	−	0.611490i
$905$	−11.9684	+	17.3604i	−0.397842	+	0.577079i
$906$	13.4367	+	3.72233i	0.446405	+	0.123666i
$907$	−14.1332			−0.469285			−0.234643	−	0.972082i	$-0.575392\pi$
$907$	−14.1332			−0.469285			−0.234643	+	0.972082i	$0.575392\pi$
$908$	−33.3704	−	32.9555i	−1.10744	−	1.09367i
$909$	−43.9987	−	18.0692i	−1.45935	−	0.599319i
$910$	38.7591	−	67.3948i	1.28485	−	2.23412i
$911$	45.4322	+	33.0084i	1.50524	+	1.09362i	0.968236	+	0.250036i	$0.0804426\pi$
$911$	45.4322	+	33.0084i	1.50524	+	1.09362i	0.537000	+	0.843582i	$0.319557\pi$
$912$	0.458277	−	18.1486i	0.0151751	−	0.600959i
$913$	11.5262	+	15.8645i	0.381462	+	0.525038i
$914$	−8.71973	+	7.49465i	−0.288423	+	0.247901i
$915$	7.68186	−	22.6352i	0.253954	−	0.748295i
$916$	−18.9388	+	3.12118i	−0.625754	+	0.103127i
$917$	−0.120047	+	0.369468i	−0.00396431	+	0.0122009i
$918$	−10.3881	+	7.05686i	−0.342859	+	0.232911i
$919$	−15.7263	−	5.10978i	−0.518763	−	0.168556i	0.0379210	−	0.999281i	$-0.487926\pi$
$919$	−15.7263	−	5.10978i	−0.518763	−	0.168556i	−0.556684	+	0.830725i	$0.687926\pi$
$920$	−10.2614	+	27.3799i	−0.338309	+	0.902690i
$921$	−6.90377	−	10.2985i	−0.227487	−	0.339347i
$922$	−37.8870	+	3.10105i	−1.24774	+	0.102128i
$923$	−19.2481	+	26.4928i	−0.633561	+	0.872021i
$924$	−44.6678	−	8.52483i	−1.46946	−	0.280446i
$925$	−0.574893	−	11.6103i	−0.0189024	−	0.381745i
$926$	−27.5687	−	6.52752i	−0.905964	−	0.214508i
$927$	11.7051	+	0.885615i	0.384445	+	0.0290874i
$928$	−7.93557	−	9.00236i	−0.260498	−	0.295517i
$929$	−21.1373	+	6.86792i	−0.693492	+	0.225329i	−0.634493	−	0.772929i	$-0.718791\pi$
$929$	−21.1373	+	6.86792i	−0.693492	+	0.225329i	−0.0589992	+	0.998258i	$0.518791\pi$
$930$	−7.83698	+	6.56045i	−0.256985	+	0.215126i
$931$	−23.7917	−	7.73039i	−0.779741	−	0.253353i
$932$	18.3880	+	9.22469i	0.602318	+	0.302165i
$933$	0.733458	−	19.4158i	0.0240123	−	0.635644i
$934$	1.52142	+	3.64077i	0.0497823	+	0.119130i
$935$	11.6307	−	4.09976i	0.380363	−	0.134077i
$936$	−35.8106	+	36.7105i	−1.17051	+	1.19992i
$937$	18.7111	+	25.7536i	0.611263	+	0.841332i	0.996681	−	0.0814105i	$-0.0259425\pi$
$937$	18.7111	+	25.7536i	0.611263	+	0.841332i	−0.385417	+	0.922742i	$0.625942\pi$
$938$	16.8878	−	7.05713i	0.551407	−	0.230424i
$939$	1.47968	−	4.02960i	0.0482876	−	0.131501i
$940$	−1.93650	+	15.2772i	−0.0631618	+	0.498286i
$941$	−27.9137	−	38.4199i	−0.909961	−	1.25245i	−0.967180	−	0.254093i	$-0.918223\pi$
$941$	−27.9137	−	38.4199i	−0.909961	−	1.25245i	0.0572187	−	0.998362i	$-0.481777\pi$
$942$	−16.0086	−	4.43482i	−0.521589	−	0.144494i
$943$	33.9600			1.10589
$944$	45.9801	−	15.5785i	1.49652	−	0.507038i
$945$	47.0782	+	4.17911i	1.53145	+	0.135947i
$946$	1.93720	+	23.6677i	0.0629837	+	0.769502i
$947$	−9.26886	+	3.01163i	−0.301197	+	0.0978650i	−0.455717	−	0.890125i	$-0.650617\pi$
$947$	−9.26886	+	3.01163i	−0.301197	+	0.0978650i	0.154519	+	0.987990i	$0.450617\pi$
$948$	−6.43494	+	6.04177i	−0.208997	+	0.196228i
$949$	16.2480			0.527433
$950$	3.37215	−	18.2193i	0.109407	−	0.591111i
$951$	−22.3159	+	6.33015i	−0.723641	+	0.205269i
$952$	4.76933	+	19.0753i	0.154575	+	0.618233i
$953$	5.08826	+	15.6601i	0.164825	+	0.507279i	0.999023	−	0.0441853i	$-0.0140692\pi$
$953$	5.08826	+	15.6601i	0.164825	+	0.507279i	−0.834198	+	0.551465i	$0.814069\pi$
$954$	−17.9323	−	24.3651i	−0.580579	−	0.788848i
$955$	6.53301	−	2.30286i	0.211403	−	0.0745189i
$956$	40.8897	−	41.4046i	1.32247	−	1.33912i
$957$	−3.23595	−	11.4078i	−0.104603	−	0.368761i
$958$	15.4382	−	25.3706i	0.498785	−	0.819687i
$959$	47.9189	−	34.8151i	1.54738	−	1.12424i
$960$	30.6298	+	4.67097i	0.988571	+	0.150755i
$961$	−22.2626	−	16.1747i	−0.718148	−	0.521765i
$962$	−18.3353	+	7.66201i	−0.591153	+	0.247033i
$963$	55.6169	+	22.8405i	1.79223	+	0.736026i
$964$	21.9415	+	42.4048i	0.706690	+	1.36577i
$965$	5.19619	−	17.4496i	0.167271	−	0.561722i
$966$	−28.6864	−	36.0433i	−0.922969	−	1.15967i
$967$	−3.91949	+	12.0629i	−0.126042	+	0.387918i	−0.994090	−	0.108564i	$-0.965375\pi$
$967$	−3.91949	+	12.0629i	−0.126042	+	0.387918i	0.868047	+	0.496481i	$0.165375\pi$
$968$	1.26971	+	1.06399i	0.0408101	+	0.0341980i
$969$	−7.75081	−	0.292797i	−0.248992	−	0.00940601i
$970$	33.2843	+	36.8409i	1.06870	+	1.18289i
$971$	−2.55368	−	7.85942i	−0.0819515	−	0.252221i	0.901683	−	0.432399i	$-0.142333\pi$
$971$	−2.55368	−	7.85942i	−0.0819515	−	0.252221i	−0.983634	+	0.180178i	$0.942333\pi$
$972$	−29.3962	−	10.3858i	−0.942883	−	0.333125i
$973$	−3.58245	+	4.93082i	−0.114848	+	0.158075i
$974$	6.79544	+	1.60898i	0.217740	+	0.0515549i
$975$	−41.9819	+	31.2597i	−1.34450	+	1.00111i
$976$	14.7595	+	19.7892i	0.472439	+	0.633435i
$977$	45.1996	+	32.8394i	1.44606	+	1.05063i	0.986732	+	0.162360i	$0.0519105\pi$
$977$	45.1996	+	32.8394i	1.44606	+	1.05063i	0.459330	+	0.888266i	$0.348089\pi$
$978$	−12.7743	−	34.1377i	−0.408478	−	1.09160i
$979$	−22.9224	+	7.44794i	−0.732603	+	0.238037i
$980$	18.1948	−	38.6236i	0.581212	−	1.23379i
$981$	3.20589	+	13.1779i	0.102356	+	0.420737i
$982$	22.6860	+	5.37142i	0.723938	+	0.171409i
$983$	−25.4057	−	8.25480i	−0.810315	−	0.263287i	−0.125584	−	0.992083i	$-0.540080\pi$
$983$	−25.4057	−	8.25480i	−0.810315	−	0.263287i	−0.684731	+	0.728796i	$0.740080\pi$
$984$	−7.40462	−	35.2158i	−0.236051	−	1.12264i
$985$	−0.257602	−	10.4112i	−0.00820788	−	0.331729i
$986$	−3.88833	+	3.34204i	−0.123829	+	0.106432i
$987$	−19.0752	−	14.9910i	−0.607169	−	0.477167i
$988$	−31.2527	+	5.15057i	−0.994281	+	0.163862i
$989$	−14.1396	+	19.4614i	−0.449612	+	0.618838i
$990$	25.3121	+	17.2216i	0.804472	+	0.547339i
$991$	−6.45863	−	8.88954i	−0.205165	−	0.282385i	0.694018	−	0.719957i	$-0.255839\pi$
$991$	−6.45863	−	8.88954i	−0.205165	−	0.282385i	−0.899183	+	0.437572i	$0.855839\pi$
$992$	−0.992664	−	10.5089i	−0.0315171	−	0.333657i
$993$	11.6413	+	41.0393i	0.369424	+	1.30234i
$994$	−16.2027	+	26.6269i	−0.513917	+	0.844555i
$995$	9.41014	−	31.6007i	0.298321	−	1.00181i
$996$	20.8838	−	2.63641i	0.661730	−	0.0835379i
$997$	26.1226	−	8.48774i	0.827310	−	0.268809i	0.135398	−	0.990791i	$-0.456769\pi$
$997$	26.1226	−	8.48774i	0.827310	−	0.268809i	0.691912	+	0.721982i	$0.256769\pi$
$998$	31.6400	−	27.1947i	1.00155	−	0.860834i
$999$	−8.90813	−	8.15999i	−0.281841	−	0.258171i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.r.a.59.40	yes	224
3.2	odd	2	inner	300.2.r.a.59.17	yes	224
4.3	odd	2	inner	300.2.r.a.59.50	yes	224
12.11	even	2	inner	300.2.r.a.59.7	✓	224
25.14	even	10	inner	300.2.r.a.239.7	yes	224
75.14	odd	10	inner	300.2.r.a.239.50	yes	224
100.39	odd	10	inner	300.2.r.a.239.17	yes	224
300.239	even	10	inner	300.2.r.a.239.40	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.r.a.59.7	✓	224	12.11	even	2	inner
300.2.r.a.59.17	yes	224	3.2	odd	2	inner
300.2.r.a.59.40	yes	224	1.1	even	1	trivial
300.2.r.a.59.50	yes	224	4.3	odd	2	inner
300.2.r.a.239.7	yes	224	25.14	even	10	inner
300.2.r.a.239.17	yes	224	100.39	odd	10	inner
300.2.r.a.239.40	yes	224	300.239	even	10	inner
300.2.r.a.239.50	yes	224	75.14	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)

\(f(q)\)	\(=\)	\(q+(0.921818 + 1.07250i) q^{2} +(-0.964452 - 1.43869i) q^{3} +(-0.300505 + 1.97730i) q^{4} +(-2.14307 - 0.638169i) q^{5} +(0.653946 - 2.36058i) q^{6} -4.06778 q^{7} +(-2.39766 + 1.50042i) q^{8} +(-1.13967 + 2.77510i) q^{9} +O(q^{10})\)	\(q+(0.921818 + 1.07250i) q^{2} +(-0.964452 - 1.43869i) q^{3} +(-0.300505 + 1.97730i) q^{4} +(-2.14307 - 0.638169i) q^{5} +(0.653946 - 2.36058i) q^{6} -4.06778 q^{7} +(-2.39766 + 1.50042i) q^{8} +(-1.13967 + 2.77510i) q^{9} +(-1.29108 - 2.88671i) q^{10} +(2.61080 + 1.89685i) q^{11} +(3.13454 - 1.47467i) q^{12} +(-3.55251 - 4.88961i) q^{13} +(-3.74975 - 4.36268i) q^{14} +(1.14876 + 3.69870i) q^{15} +(-3.81939 - 1.18837i) q^{16} +(-0.528103 + 1.62533i) q^{17} +(-4.02685 + 1.33584i) q^{18} +(-2.49211 - 0.809734i) q^{19} +(1.90585 - 4.04571i) q^{20} +(3.92317 + 5.85228i) q^{21} +(0.372305 + 4.54863i) q^{22} +(-2.71745 + 3.74024i) q^{23} +(4.47106 + 2.00241i) q^{24} +(4.18548 + 2.73528i) q^{25} +(1.96933 - 8.31739i) q^{26} +(5.09166 - 1.03682i) q^{27} +(1.22239 - 8.04320i) q^{28} +(2.01761 - 0.655560i) q^{29} +(-2.90790 + 4.64156i) q^{30} +(1.77466 + 0.576623i) q^{31} +(-2.24626 - 5.19176i) q^{32} +(0.211002 - 5.58555i) q^{33} +(-2.22998 + 0.931871i) q^{34} +(8.71752 + 2.59593i) q^{35} +(-5.14471 - 3.08739i) q^{36} +(-1.36655 - 1.88089i) q^{37} +(-1.42883 - 3.41921i) q^{38} +(-3.60842 + 9.82676i) q^{39} +(6.09586 - 1.68538i) q^{40} +(-4.31762 - 5.94269i) q^{41} +(-2.66011 + 9.60233i) q^{42} +5.20326 q^{43} +(-4.53520 + 4.59230i) q^{44} +(4.21336 - 5.21992i) q^{45} +(-6.51640 + 0.533367i) q^{46} +(-3.27488 + 1.06407i) q^{47} +(1.97392 + 6.64106i) q^{48} +9.54682 q^{49} +(0.924667 + 7.01035i) q^{50} +(2.84768 - 0.807778i) q^{51} +(10.7358 - 5.55501i) q^{52} +(2.20348 + 6.78162i) q^{53} +(5.80557 + 4.50504i) q^{54} +(-4.38460 - 5.73122i) q^{55} +(9.75313 - 6.10336i) q^{56} +(1.23856 + 4.36632i) q^{57} +(2.56295 + 1.55957i) q^{58} +(-9.81893 + 7.13387i) q^{59} +(-7.65862 + 1.15996i) q^{60} +(-4.99307 - 3.62768i) q^{61} +(1.01749 + 2.43486i) q^{62} +(4.63591 - 11.2885i) q^{63} +(3.49751 - 7.19496i) q^{64} +(4.49287 + 12.7459i) q^{65} +(6.18500 - 4.92256i) q^{66} +(-0.983181 + 3.02592i) q^{67} +(-3.05507 - 1.53263i) q^{68} +(8.00190 + 0.302283i) q^{69} +(5.25184 + 11.7425i) q^{70} +(-1.67431 - 5.15300i) q^{71} +(-1.43127 - 8.36370i) q^{72} +(-1.58017 + 2.17491i) q^{73} +(0.757544 - 3.19946i) q^{74} +(-0.101469 - 8.65966i) q^{75} +(2.34997 - 4.68430i) q^{76} +(-10.6201 - 7.71598i) q^{77} +(-13.8655 + 5.18846i) q^{78} +(-2.42335 + 0.787395i) q^{79} +(7.42684 + 4.98418i) q^{80} +(-6.40232 - 6.32537i) q^{81} +(2.39347 - 10.1087i) q^{82} +(5.77909 + 1.87774i) q^{83} +(-12.7506 + 5.99864i) q^{84} +(2.16900 - 3.14618i) q^{85} +(4.79645 + 5.58048i) q^{86} +(-2.88903 - 2.27046i) q^{87} +(-9.10586 - 0.630726i) q^{88} +(-4.38993 + 6.04222i) q^{89} +(9.48231 - 0.292990i) q^{90} +(14.4508 + 19.8899i) q^{91} +(-6.57896 - 6.49716i) q^{92} +(-0.881994 - 3.10932i) q^{93} +(-4.16006 - 2.53142i) q^{94} +(4.82401 + 3.32570i) q^{95} +(-5.30293 + 8.23887i) q^{96} +(-14.9322 + 4.85176i) q^{97} +(8.80042 + 10.2389i) q^{98} +(-8.23939 + 5.08343i) 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

Properties

Related objects

Downloads

Learn more