LMFDB - Embedded newform 112.2.v.a.19.7

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [112,2,Mod(3,112)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(112, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([6, 9, 2])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("112.3"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 112 = 2^{4} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	112.v (of order $12$, degree $4$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.894324502638$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			19.7
Character	$\chi$	$=$	112.19
Dual form			112.2.v.a.59.7

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.204650 - 1.39933i) q^{2} +(-0.665801 + 2.48480i) q^{3} +(-1.91624 + 0.572746i) q^{4} +(-3.12401 + 0.837076i) q^{5} +(3.61331 + 0.423158i) q^{6} +(1.56215 + 2.13534i) q^{7} +(1.19362 + 2.56423i) q^{8} +(-3.13287 - 1.80877i) q^{9} +(1.81067 + 4.20021i) q^{10} +(0.376195 - 1.40398i) q^{11} +(-0.147328 - 5.14280i) q^{12} +(-3.11315 + 3.11315i) q^{13} +(2.66835 - 2.62295i) q^{14} -8.31987i q^{15} +(3.34392 - 2.19503i) q^{16} +(2.02443 - 1.16881i) q^{17} +(-1.88991 + 4.75408i) q^{18} +(4.40643 - 1.18070i) q^{19} +(5.50691 - 3.39330i) q^{20} +(-6.34599 + 2.45991i) q^{21} +(-2.04161 - 0.239095i) q^{22} +(-1.15450 + 1.99965i) q^{23} +(-7.16632 + 1.25864i) q^{24} +(4.72861 - 2.73006i) q^{25} +(4.99343 + 3.71921i) q^{26} +(1.12329 - 1.12329i) q^{27} +(-4.21645 - 3.19711i) q^{28} +(-1.55163 - 1.55163i) q^{29} +(-11.6422 + 1.70266i) q^{30} +(3.88952 + 6.73685i) q^{31} +(-3.75591 - 4.23003i) q^{32} +(3.23814 + 1.86954i) q^{33} +(-2.04984 - 2.59365i) q^{34} +(-6.66761 - 5.36320i) q^{35} +(7.03929 + 1.67168i) q^{36} +(0.272421 + 1.01669i) q^{37} +(-2.55396 - 5.92441i) q^{38} +(-5.66282 - 9.80830i) q^{39} +(-5.87533 - 7.01153i) q^{40} -2.77210 q^{41} +(4.74093 + 8.37669i) q^{42} +(7.12142 + 7.12142i) q^{43} +(0.0832442 + 2.90582i) q^{44} +(11.3012 + 3.02815i) q^{45} +(3.03443 + 1.20629i) q^{46} +(1.42516 - 2.46844i) q^{47} +(3.22783 + 9.77044i) q^{48} +(-2.11939 + 6.67144i) q^{49} +(-4.78797 - 6.05817i) q^{50} +(1.55638 + 5.80851i) q^{51} +(4.18249 - 7.74858i) q^{52} +(11.0925 + 2.97221i) q^{53} +(-1.80173 - 1.34197i) q^{54} +4.70094i q^{55} +(-3.61091 + 6.55449i) q^{56} +11.7352i q^{57} +(-1.85370 + 2.48878i) q^{58} +(3.77383 + 1.01120i) q^{59} +(4.76517 + 15.9428i) q^{60} +(-3.72571 - 13.9045i) q^{61} +(8.63107 - 6.82142i) q^{62} +(-1.03167 - 9.51532i) q^{63} +(-5.15056 + 6.12142i) q^{64} +(7.11957 - 12.3315i) q^{65} +(1.95341 - 4.91382i) q^{66} +(2.59612 + 0.695627i) q^{67} +(-3.20986 + 3.39920i) q^{68} +(-4.20006 - 4.20006i) q^{69} +(-6.14035 + 10.4277i) q^{70} -7.48345 q^{71} +(0.898639 - 10.1924i) q^{72} +(-5.65210 - 9.78973i) q^{73} +(1.36693 - 0.589271i) q^{74} +(3.63536 + 13.5673i) q^{75} +(-7.76752 + 4.78626i) q^{76} +(3.58565 - 1.38991i) q^{77} +(-12.5661 + 9.93142i) q^{78} +(-0.706717 - 0.408024i) q^{79} +(-8.60904 + 9.65642i) q^{80} +(-3.38303 - 5.85958i) q^{81} +(0.567311 + 3.87907i) q^{82} +(2.65285 + 2.65285i) q^{83} +(10.7515 - 8.34841i) q^{84} +(-5.34597 + 5.34597i) q^{85} +(8.50781 - 11.4226i) q^{86} +(4.88857 - 2.82241i) q^{87} +(4.04916 - 0.711163i) q^{88} +(-2.40944 + 4.17328i) q^{89} +(1.92458 - 16.4338i) q^{90} +(-11.5108 - 1.78445i) q^{91} +(1.06700 - 4.49303i) q^{92} +(-19.3294 + 5.17929i) q^{93} +(-3.74582 - 1.48909i) q^{94} +(-12.7774 + 7.37703i) q^{95} +(13.0115 - 6.51632i) q^{96} +5.86541i q^{97} +(9.76927 + 1.60041i) q^{98} +(-3.71804 + 3.71804i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 2 q^{2} - 6 q^{3} - 4 q^{4} - 6 q^{5} - 8 q^{7} + 4 q^{8} - 24 q^{10} + 2 q^{11} - 6 q^{12} + 16 q^{14} + 8 q^{16} - 12 q^{17} - 30 q^{18} - 6 q^{19} - 10 q^{21} - 28 q^{22} - 12 q^{23} - 6 q^{24}+ \cdots - 16 q^{99}+O(q^{100}) $ 56 * q - 2 * q^2 - 6 * q^3 - 4 * q^4 - 6 * q^5 - 8 * q^7 + 4 * q^8 - 24 * q^10 + 2 * q^11 - 6 * q^12 + 16 * q^14 + 8 * q^16 - 12 * q^17 - 30 * q^18 - 6 * q^19 - 10 * q^21 - 28 * q^22 - 12 * q^23 - 6 * q^24 - 6 * q^26 + 26 * q^28 - 24 * q^29 - 18 * q^30 - 12 * q^32 - 12 * q^33 - 2 * q^35 + 16 * q^36 + 6 * q^37 - 6 * q^38 - 4 * q^39 - 66 * q^40 + 70 * q^42 + 26 * q^44 + 12 * q^45 + 16 * q^46 - 8 * q^49 - 34 * q^51 + 84 * q^52 + 6 * q^53 + 42 * q^54 + 16 * q^56 + 18 * q^58 + 42 * q^59 + 78 * q^60 - 6 * q^61 - 16 * q^64 - 4 * q^65 + 126 * q^66 + 6 * q^67 + 24 * q^68 - 80 * q^70 - 80 * q^71 - 4 * q^72 + 62 * q^74 + 24 * q^75 + 10 * q^77 + 4 * q^78 + 12 * q^80 - 8 * q^81 + 42 * q^82 - 152 * q^84 - 28 * q^85 - 12 * q^87 + 30 * q^88 + 16 * q^91 - 20 * q^92 + 10 * q^93 - 42 * q^94 + 36 * q^96 - 108 * q^98 - 16 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/112\mathbb{Z}\right)^\times$.

$n$	$15$	$17$	$85$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.204650	−	1.39933i	−0.144710	−	0.989474i
$2$	−0.204650	−	1.39933i	−0.144710	−	0.989474i
$3$	−0.665801	+	2.48480i	−0.384400	+	1.43460i	0.454710	+	0.890640i	$0.349743\pi$
$3$	−0.665801	+	2.48480i	−0.384400	+	1.43460i	−0.839110	+	0.543962i	$0.816924\pi$
$4$	−1.91624	+	0.572746i	−0.958118	+	0.286373i
$5$	−3.12401	+	0.837076i	−1.39710	+	0.374352i	−0.877302	−	0.479938i	$-0.840659\pi$
$5$	−3.12401	+	0.837076i	−1.39710	+	0.374352i	−0.519797	+	0.854290i	$0.673992\pi$
$6$	3.61331	+	0.423158i	1.47513	+	0.172753i
$7$	1.56215	+	2.13534i	0.590436	+	0.807084i
$7$	1.56215	+	2.13534i	0.590436	+	0.807084i
$8$	1.19362	+	2.56423i	0.422007	+	0.906592i
$9$	−3.13287	−	1.80877i	−1.04429	−	0.602922i
$10$	1.81067	+	4.20021i	0.572585	+	1.32822i
$11$	0.376195	−	1.40398i	0.113427	−	0.423315i	−0.885737	−	0.464187i	$-0.846347\pi$
$11$	0.376195	−	1.40398i	0.113427	−	0.423315i	0.999164	+	0.0408713i	$0.0130134\pi$
$12$	−0.147328	−	5.14280i	−0.0425300	−	1.48460i
$13$	−3.11315	+	3.11315i	−0.863433	+	0.863433i	−0.991735	−	0.128303i	$-0.959047\pi$
$13$	−3.11315	+	3.11315i	−0.863433	+	0.863433i	0.128303	+	0.991735i	$0.459047\pi$
$14$	2.66835	−	2.62295i	0.713147	−	0.701014i
$15$		−	8.31987i		−	2.14818i
$16$	3.34392	−	2.19503i	0.835981	−	0.548758i
$17$	2.02443	−	1.16881i	0.490997	−	0.283477i	−0.233991	−	0.972239i	$-0.575179\pi$
$17$	2.02443	−	1.16881i	0.490997	−	0.283477i	0.724988	+	0.688761i	$0.241845\pi$
$18$	−1.88991	+	4.75408i	−0.445457	+	1.12055i
$19$	4.40643	−	1.18070i	1.01090	−	0.270871i	0.284897	−	0.958558i	$-0.408041\pi$
$19$	4.40643	−	1.18070i	1.01090	−	0.270871i	0.726007	+	0.687687i	$0.241374\pi$
$20$	5.50691	−	3.39330i	1.23138	−	0.758764i
$21$	−6.34599	+	2.45991i	−1.38481	+	0.536797i
$22$	−2.04161	−	0.239095i	−0.435274	−	0.0509753i
$23$	−1.15450	+	1.99965i	−0.240729	+	0.416955i	−0.960922	−	0.276819i	$-0.910720\pi$
$23$	−1.15450	+	1.99965i	−0.240729	+	0.416955i	0.720193	+	0.693774i	$0.244053\pi$
$24$	−7.16632	+	1.25864i	−1.46282	+	0.256918i
$25$	4.72861	−	2.73006i	0.945722	−	0.546013i
$26$	4.99343	+	3.71921i	0.979291	+	0.729397i
$27$	1.12329	−	1.12329i	0.216177	−	0.216177i
$28$	−4.21645	−	3.19711i	−0.796835	−	0.604197i
$29$	−1.55163	−	1.55163i	−0.288130	−	0.288130i	0.548210	−	0.836341i	$-0.315309\pi$
$29$	−1.55163	−	1.55163i	−0.288130	−	0.288130i	−0.836341	+	0.548210i	$0.815309\pi$
$30$	−11.6422	+	1.70266i	−2.12557	+	0.310862i
$31$	3.88952	+	6.73685i	0.698579	+	1.20997i	0.968959	+	0.247221i	$0.0795172\pi$
$31$	3.88952	+	6.73685i	0.698579	+	1.20997i	−0.270380	+	0.962754i	$0.587149\pi$
$32$	−3.75591	−	4.23003i	−0.663957	−	0.747771i
$33$	3.23814	+	1.86954i	0.563687	+	0.325445i
$34$	−2.04984	−	2.59365i	−0.351545	−	0.444807i
$35$	−6.66761	−	5.36320i	−1.12703	−	0.906546i
$36$	7.03929	+	1.67168i	1.17322	+	0.278614i
$37$	0.272421	+	1.01669i	0.0447857	+	0.167142i	0.984697	−	0.174277i	$-0.0557589\pi$
$37$	0.272421	+	1.01669i	0.0447857	+	0.167142i	−0.939911	+	0.341420i	$0.889092\pi$
$38$	−2.55396	−	5.92441i	−0.414307	−	0.961066i
$39$	−5.66282	−	9.80830i	−0.906778	−	1.57058i
$40$	−5.87533	−	7.01153i	−0.928971	−	1.10862i
$41$	−2.77210			−0.432929			−0.216464	−	0.976290i	$-0.569453\pi$
$41$	−2.77210			−0.432929			−0.216464	+	0.976290i	$0.569453\pi$
$42$	4.74093	+	8.37669i	0.731542	+	1.29255i
$43$	7.12142	+	7.12142i	1.08601	+	1.08601i	0.995935	+	0.0900717i	$0.0287096\pi$
$43$	7.12142	+	7.12142i	1.08601	+	1.08601i	0.0900717	+	0.995935i	$0.471290\pi$
$44$	0.0832442	+	2.90582i	0.0125495	+	0.438069i
$45$	11.3012	+	3.02815i	1.68468	+	0.451410i
$46$	3.03443	+	1.20629i	0.447402	+	0.177858i
$47$	1.42516	−	2.46844i	0.207880	−	0.360059i	−0.743166	−	0.669107i	$-0.766677\pi$
$47$	1.42516	−	2.46844i	0.207880	−	0.360059i	0.951047	+	0.309047i	$0.100010\pi$
$48$	3.22783	+	9.77044i	0.465898	+	1.41024i
$49$	−2.11939	+	6.67144i	−0.302770	+	0.953064i
$50$	−4.78797	−	6.05817i	−0.677121	−	0.856754i
$51$	1.55638	+	5.80851i	0.217937	+	0.813354i
$52$	4.18249	−	7.74858i	0.580007	−	1.07453i
$53$	11.0925	+	2.97221i	1.52367	+	0.408265i	0.920947	−	0.389689i	$-0.127417\pi$
$53$	11.0925	+	2.97221i	1.52367	+	0.408265i	0.602719	+	0.797954i	$0.294084\pi$
$54$	−1.80173	−	1.34197i	−0.245185	−	0.182619i
$55$			4.70094i			0.633875i
$56$	−3.61091	+	6.55449i	−0.482528	+	0.875880i
$57$			11.7352i			1.55437i
$58$	−1.85370	+	2.48878i	−0.243402	+	0.326793i
$59$	3.77383	+	1.01120i	0.491311	+	0.131646i	0.495965	−	0.868343i	$-0.334815\pi$
$59$	3.77383	+	1.01120i	0.491311	+	0.131646i	−0.00465348	+	0.999989i	$0.501481\pi$
$60$	4.76517	+	15.9428i	0.615181	+	2.05821i
$61$	−3.72571	−	13.9045i	−0.477028	−	1.78029i	−0.613551	−	0.789655i	$-0.710259\pi$
$61$	−3.72571	−	13.9045i	−0.477028	−	1.78029i	0.136523	−	0.990637i	$-0.456407\pi$
$62$	8.63107	−	6.82142i	1.09615	−	0.866321i
$63$	−1.03167	−	9.51532i	−0.129978	−	1.19882i
$64$	−5.15056	+	6.12142i	−0.643819	+	0.765177i
$65$	7.11957	−	12.3315i	0.883074	−	1.52953i
$66$	1.95341	−	4.91382i	0.240448	−	0.604849i
$67$	2.59612	+	0.695627i	0.317166	+	0.0849844i	0.413890	−	0.910327i	$-0.364170\pi$
$67$	2.59612	+	0.695627i	0.317166	+	0.0849844i	−0.0967240	+	0.995311i	$0.530836\pi$
$68$	−3.20986	+	3.39920i	−0.389253	+	0.412213i
$69$	−4.20006	−	4.20006i	−0.505628	−	0.505628i
$70$	−6.14035	+	10.4277i	−0.733912	+	1.24635i
$71$	−7.48345			−0.888122			−0.444061	−	0.895997i	$-0.646463\pi$
$71$	−7.48345			−0.888122			−0.444061	+	0.895997i	$0.646463\pi$
$72$	0.898639	−	10.1924i	0.105906	−	1.20118i
$73$	−5.65210	−	9.78973i	−0.661529	−	1.14580i	−0.980214	−	0.197941i	$-0.936575\pi$
$73$	−5.65210	−	9.78973i	−0.661529	−	1.14580i	0.318685	−	0.947861i	$-0.396759\pi$
$74$	1.36693	−	0.589271i	0.158902	−	0.0685014i
$75$	3.63536	+	13.5673i	0.419775	+	1.56662i
$76$	−7.76752	+	4.78626i	−0.890995	+	0.549022i
$77$	3.58565	−	1.38991i	0.408623	−	0.158395i
$78$	−12.5661	+	9.93142i	−1.42283	+	1.12451i
$79$	−0.706717	−	0.408024i	−0.0795119	−	0.0459062i	0.459717	−	0.888066i	$-0.347951\pi$
$79$	−0.706717	−	0.408024i	−0.0795119	−	0.0459062i	−0.539229	+	0.842159i	$0.681284\pi$
$80$	−8.60904	+	9.65642i	−0.962520	+	1.07962i
$81$	−3.38303	−	5.85958i	−0.375892	−	0.651065i
$82$	0.567311	+	3.87907i	0.0626490	+	0.428372i
$83$	2.65285	+	2.65285i	0.291188	+	0.291188i	0.837550	−	0.546361i	$-0.183987\pi$
$83$	2.65285	+	2.65285i	0.291188	+	0.291188i	−0.546361	+	0.837550i	$0.683987\pi$
$84$	10.7515	−	8.34841i	1.17309	−	0.910886i
$85$	−5.34597	+	5.34597i	−0.579852	+	0.579852i
$86$	8.50781	−	11.4226i	0.917420	−	1.23173i
$87$	4.88857	−	2.82241i	0.524109	−	0.302595i
$88$	4.04916	−	0.711163i	0.431641	−	0.0758102i
$89$	−2.40944	+	4.17328i	−0.255400	+	0.442367i	−0.965004	−	0.262234i	$-0.915541\pi$
$89$	−2.40944	+	4.17328i	−0.255400	+	0.442367i	0.709604	+	0.704601i	$0.248874\pi$
$90$	1.92458	−	16.4338i	0.202868	−	1.73227i
$91$	−11.5108	−	1.78445i	−1.20666	−	0.187061i
$92$	1.06700	−	4.49303i	0.111242	−	0.468430i
$93$	−19.3294	+	5.17929i	−2.00436	+	0.537068i
$94$	−3.74582	−	1.48909i	−0.386352	−	0.153588i
$95$	−12.7774	+	7.37703i	−1.31093	+	0.756867i
$96$	13.0115	−	6.51632i	1.32798	−	0.665069i
$97$			5.86541i			0.595542i	0.954637	+	0.297771i	$0.0962432\pi$
$97$			5.86541i			0.595542i	−0.954637	+	0.297771i	$0.903757\pi$
$98$	9.76927	+	1.60041i	0.986846	+	0.161666i
$99$	−3.71804	+	3.71804i	−0.373677	+	0.373677i
$100$	−7.49750	+	7.93974i	−0.749750	+	0.793974i
$101$	0.373632	−	1.39442i	0.0371778	−	0.138749i	−0.944842	−	0.327525i	$-0.893785\pi$
$101$	0.373632	−	1.39442i	0.0371778	−	0.138749i	0.982020	+	0.188776i	$0.0604520\pi$
$102$	7.80949	−	3.36661i	0.773255	−	0.333344i
$103$	−2.10134	−	1.21321i	−0.207051	−	0.119541i	0.392889	−	0.919586i	$-0.371476\pi$
$103$	−2.10134	−	1.21321i	−0.207051	−	0.119541i	−0.599940	+	0.800045i	$0.704809\pi$
$104$	−11.6987	−	4.26692i	−1.14716	−	0.418406i
$105$	17.7658	−	12.9969i	1.73376	−	1.26836i
$106$	1.88903	−	16.1302i	0.183479	−	1.56671i
$107$	−4.34758	+	1.16493i	−0.420297	+	0.112618i	−0.462768	−	0.886480i	$-0.653144\pi$
$107$	−4.34758	+	1.16493i	−0.420297	+	0.112618i	0.0424712	+	0.999098i	$0.486477\pi$
$108$	−1.50913	+	2.79585i	−0.145216	+	0.269031i
$109$	0.842750	−	3.14518i	0.0807208	−	0.301254i	−0.913749	−	0.406280i	$-0.866826\pi$
$109$	0.842750	−	3.14518i	0.0807208	−	0.301254i	0.994470	+	0.105026i	$0.0334925\pi$
$110$	6.57816	−	0.962050i	0.627203	−	0.0917278i
$111$	−2.70765			−0.256998
$112$	9.91085	+	3.71147i	0.936488	+	0.350701i
$113$	11.5397			1.08556			0.542781	−	0.839875i	$-0.317372\pi$
$113$	11.5397			1.08556			0.542781	+	0.839875i	$0.317372\pi$
$114$	16.4214	−	2.40161i	1.53801	−	0.224932i
$115$	1.93280	−	7.21331i	0.180235	−	0.672645i
$116$	3.86198	+	2.08460i	0.358575	+	0.193550i
$117$	15.3841	−	4.12215i	1.42226	−	0.381093i
$118$	0.642678	−	5.48777i	0.0591633	−	0.505190i
$119$	5.65827	+	2.49701i	0.518693	+	0.228901i
$120$	21.3341	−	9.93074i	1.94752	−	0.906548i
$121$	7.69665	+	4.44366i	0.699695	+	0.403969i
$122$	−18.6945	+	8.05905i	−1.69252	+	0.729632i
$123$	1.84566	−	6.88811i	0.166418	−	0.621080i
$124$	−11.3117	−	10.6817i	−1.01582	−	0.959244i
$125$	−1.05228	+	1.05228i	−0.0941192	+	0.0941192i
$126$	−13.1039	+	3.39096i	−1.16739	+	0.302091i
$127$		−	4.49210i		−	0.398610i	−0.979938	−	0.199305i	$-0.936132\pi$
$127$		−	4.49210i		−	0.398610i	0.979938	−	0.199305i	$-0.0638684\pi$
$128$	9.61994	+	5.95456i	0.850290	+	0.526314i
$129$	−22.4368	+	12.9539i	−1.97545	+	1.14053i
$130$	−18.7128	−	7.43897i	−1.64122	−	0.652441i
$131$	−13.3612	+	3.58012i	−1.16737	+	0.312796i	−0.789907	−	0.613227i	$-0.789871\pi$
$131$	−13.3612	+	3.58012i	−1.16737	+	0.312796i	−0.377465	+	0.926024i	$0.623204\pi$
$132$	−7.27581	−	1.72785i	−0.633278	−	0.150390i
$133$	9.40469	+	7.56482i	0.815490	+	0.655953i
$134$	0.442115	−	3.77518i	0.0381929	−	0.326126i
$135$	−2.56889	+	4.44945i	−0.221095	+	0.382947i
$136$	5.41349	+	3.79600i	0.464203	+	0.325505i
$137$	−2.18423	+	1.26106i	−0.186611	+	0.107740i	−0.590395	−	0.807114i	$-0.701028\pi$
$137$	−2.18423	+	1.26106i	−0.186611	+	0.107740i	0.403784	+	0.914854i	$0.367695\pi$
$138$	−5.01772	+	6.73680i	−0.427136	+	0.573475i
$139$	6.00381	−	6.00381i	0.509237	−	0.509237i	−0.405055	−	0.914292i	$-0.632748\pi$
$139$	6.00381	−	6.00381i	0.509237	−	0.509237i	0.914292	+	0.405055i	$0.132748\pi$
$140$	15.8485	+	6.45832i	1.33944	+	0.545827i
$141$	5.18472	+	5.18472i	0.436632	+	0.436632i
$142$	1.53149	+	10.4718i	0.128520	+	0.878774i
$143$	3.19964	+	5.54195i	0.267568	+	0.463441i
$144$	−14.4464	+	0.828384i	−1.20387	+	0.0690320i
$145$	6.14613	+	3.54847i	0.510409	+	0.294685i
$146$	−12.5423	+	9.91262i	−1.03801	+	0.820374i
$147$	−15.1661	−	9.70812i	−1.25088	−	0.800713i
$148$	−1.10433	−	1.79219i	−0.0907750	−	0.147317i
$149$	−2.19951	−	8.20870i	−0.180191	−	0.672483i	−0.995609	−	0.0936097i	$-0.970159\pi$
$149$	−2.19951	−	8.20870i	−0.180191	−	0.672483i	0.815418	−	0.578873i	$-0.196507\pi$
$150$	18.2412	−	7.86362i	1.48939	−	0.642062i
$151$	5.11927	+	8.86683i	0.416600	+	0.721572i	0.995595	−	0.0937588i	$-0.0298882\pi$
$151$	5.11927	+	8.86683i	0.416600	+	0.721572i	−0.578995	+	0.815331i	$0.696555\pi$
$152$	8.28717	+	9.88979i	0.672178	+	0.802168i
$153$	−8.45639			−0.683659
$154$	−2.67875	−	4.73305i	−0.215860	−	0.381400i
$155$	−17.7902	−	17.7902i	−1.42894	−	1.42894i
$156$	16.4690	+	15.5517i	1.31857	+	1.24513i
$157$	14.1817	+	3.79998i	1.13183	+	0.303272i	0.775660	−	0.631151i	$-0.217417\pi$
$157$	14.1817	+	3.79998i	1.13183	+	0.303272i	0.356166	+	0.934423i	$0.384084\pi$
$158$	−0.426329	+	1.07243i	−0.0339169	+	0.0853181i
$159$	−14.7707	+	25.5836i	−1.17139	+	2.02892i
$160$	15.2743	+	10.0707i	1.20754	+	0.796157i
$161$	−6.07342	+	0.658494i	−0.478653	+	0.0518966i
$162$	−7.50714	+	5.93313i	−0.589816	+	0.466151i
$163$	−5.94974	−	22.2047i	−0.466019	−	1.73921i	−0.653488	−	0.756937i	$-0.726695\pi$
$163$	−5.94974	−	22.2047i	−0.466019	−	1.73921i	0.187468	−	0.982271i	$-0.439972\pi$
$164$	5.31200	−	1.58771i	0.414797	−	0.123979i
$165$	−11.6809	−	3.12989i	−0.909358	−	0.243662i
$166$	3.16930	−	4.25511i	0.245985	−	0.330261i
$167$		−	3.82099i		−	0.295677i	−0.989011	−	0.147839i	$-0.952768\pi$
$167$		−	3.82099i		−	0.295677i	0.989011	−	0.147839i	$-0.0472316\pi$
$168$	−13.8825	−	13.3364i	−1.07106	−	1.02892i
$169$		−	6.38341i		−	0.491032i
$170$	8.57481	+	6.38671i	0.657658	+	0.489838i
$171$	−15.9404	−	4.27121i	−1.21899	−	0.326628i
$172$	−17.7251	−	9.56757i	−1.35153	−	0.729520i
$173$	2.15162	+	8.02996i	0.163585	+	0.610506i	0.998216	+	0.0596981i	$0.0190138\pi$
$173$	2.15162	+	8.02996i	0.163585	+	0.610506i	−0.834632	+	0.550808i	$0.814320\pi$
$174$	−4.94993	−	6.26310i	−0.375253	−	0.474804i
$175$	13.2164	+	5.83245i	0.999067	+	0.440892i
$176$	−1.82381	−	5.52056i	−0.137475	−	0.416128i
$177$	−5.02524	+	8.70397i	−0.377720	+	0.654230i
$178$	6.33288	+	2.51754i	0.474669	+	0.188697i
$179$	18.6644	+	5.00112i	1.39504	+	0.373801i	0.876563	−	0.481288i	$-0.159831\pi$
$179$	18.6644	+	5.00112i	1.39504	+	0.373801i	0.518482	+	0.855089i	$0.326497\pi$
$180$	−23.3901	+	0.670067i	−1.74340	+	0.0499439i
$181$	−6.07189	−	6.07189i	−0.451320	−	0.451320i	0.444472	−	0.895793i	$-0.353391\pi$
$181$	−6.07189	−	6.07189i	−0.451320	−	0.451320i	−0.895793	+	0.444472i	$0.853391\pi$
$182$	−0.141332	+	16.4726i	−0.0104763	+	1.22103i
$183$	37.0306			2.73738
$184$	−6.50558	−	0.573582i	−0.479598	−	0.0422850i
$185$	−1.70209	−	2.94810i	−0.125140	−	0.216749i
$186$	11.2033	+	25.9882i	0.821465	+	1.90555i
$187$	−0.879398	−	3.28196i	−0.0643080	−	0.240001i
$188$	−1.31715	+	5.54637i	−0.0960627	+	0.404511i
$189$	4.15336	+	0.643867i	0.302112	+	0.0468344i
$190$	12.9378	+	16.3700i	0.938605	+	1.18761i
$191$	13.1707	+	7.60410i	0.952997	+	0.550213i	0.894011	−	0.448046i	$-0.147880\pi$
$191$	13.1707	+	7.60410i	0.952997	+	0.550213i	0.0589865	+	0.998259i	$0.481213\pi$
$192$	−11.7813	−	16.8738i	−0.850240	−	1.21776i
$193$	−11.2397	−	19.4678i	−0.809053	−	1.40132i	−0.913521	−	0.406792i	$-0.866647\pi$
$193$	−11.2397	−	19.4678i	−0.809053	−	1.40132i	0.104468	−	0.994528i	$-0.466686\pi$
$194$	8.20763	−	1.20036i	0.589274	−	0.0861807i
$195$	25.9010	+	25.9010i	1.85481	+	1.85481i
$196$	0.240218	−	13.9979i	0.0171584	−	0.999853i
$197$	−8.31581	+	8.31581i	−0.592477	+	0.592477i	−0.938300	−	0.345823i	$-0.887600\pi$
$197$	−8.31581	+	8.31581i	−0.592477	+	0.592477i	0.345823	+	0.938300i	$0.387600\pi$
$198$	5.96365	+	4.44186i	0.423818	+	0.315669i
$199$	8.85088	−	5.11006i	0.627422	−	0.362242i	−0.152331	−	0.988330i	$-0.548678\pi$
$199$	8.85088	−	5.11006i	0.627422	−	0.362242i	0.779753	+	0.626087i	$0.215345\pi$
$200$	12.6447	+	8.86659i	0.894113	+	0.626963i
$201$	−3.45699	+	5.98769i	−0.243837	+	0.422339i
$202$	−2.02771	−	0.237467i	−0.142669	−	0.0167081i
$203$	0.889390	−	5.73713i	0.0624229	−	0.402668i
$204$	−6.30920	−	10.2391i	−0.441732	−	0.716878i
$205$	8.66006	−	2.32046i	0.604845	−	0.162068i
$206$	−1.26764	+	3.18874i	−0.0883204	+	0.222170i
$207$	7.23378	−	4.17642i	0.502782	−	0.290282i
$208$	−3.57667	+	17.2436i	−0.247998	+	1.19563i
$209$		−	6.63070i		−	0.458655i
$210$	−21.8226	−	22.2004i	−1.50591	−	1.53197i
$211$	5.73766	−	5.73766i	0.394997	−	0.394997i	−0.481467	−	0.876464i	$-0.659896\pi$
$211$	5.73766	−	5.73766i	0.394997	−	0.394997i	0.876464	+	0.481467i	$0.159896\pi$
$212$	−22.9581	+	0.657690i	−1.57677	+	0.0451704i
$213$	4.98248	−	18.5949i	0.341394	−	1.27410i
$214$	2.51985	+	5.84529i	0.172254	+	0.399576i
$215$	−28.2086	−	16.2862i	−1.92381	−	1.11071i
$216$	4.22115	+	1.53960i	0.287213	+	0.104756i
$217$	−8.30949	+	18.8294i	−0.564085	+	1.27822i
$218$	−4.57361	−	0.535620i	−0.309764	−	0.0362768i
$219$	28.0887	−	7.52635i	1.89806	−	0.508583i
$220$	−2.69245	−	9.00812i	−0.181525	−	0.607327i
$221$	−2.66369	+	9.94104i	−0.179179	+	0.668706i
$222$	0.554120	+	3.78888i	0.0371901	+	0.254293i
$223$	17.4929			1.17141			0.585705	−	0.810524i	$-0.300818\pi$
$223$	17.4929			1.17141			0.585705	+	0.810524i	$0.300818\pi$
$224$	3.16530	−	14.6281i	0.211491	−	0.977380i
$225$	−19.7522			−1.31681
$226$	−2.36160	−	16.1478i	−0.157091	−	1.07413i
$227$	−4.53614	+	16.9291i	−0.301074	+	1.12362i	0.635198	+	0.772349i	$0.280919\pi$
$227$	−4.53614	+	16.9291i	−0.301074	+	1.12362i	−0.936272	+	0.351275i	$0.885748\pi$
$228$	−6.72129	−	22.4874i	−0.445128	−	1.48927i
$229$	6.75227	−	1.80926i	0.446202	−	0.119560i	−0.0287195	−	0.999588i	$-0.509143\pi$
$229$	6.75227	−	1.80926i	0.446202	−	0.119560i	0.474922	+	0.880028i	$0.342476\pi$
$230$	−10.4893	−	1.22842i	−0.691646	−	0.0809993i
$231$	1.06634	+	9.83503i	0.0701597	+	0.647098i
$232$	2.12668	−	5.83078i	0.139624	−	0.382810i
$233$	25.0933	+	14.4876i	1.64392	+	0.949116i	0.979422	+	0.201823i	$0.0646866\pi$
$233$	25.0933	+	14.4876i	1.64392	+	0.949116i	0.664495	+	0.747293i	$0.268647\pi$
$234$	−8.91659	−	20.6838i	−0.582896	−	1.35214i
$235$	−2.38593	+	8.90440i	−0.155641	+	0.580859i
$236$	−7.81071	+	0.223757i	−0.508434	+	0.0145653i
$237$	1.48439	−	1.48439i	0.0964215	−	0.0964215i
$238$	2.33617	−	8.42879i	0.151432	−	0.546357i
$239$		−	13.3587i		−	0.864105i	−0.901848	−	0.432053i	$-0.857789\pi$
$239$		−	13.3587i		−	0.864105i	0.901848	−	0.432053i	$-0.142211\pi$
$240$	−18.2624	−	27.8210i	−1.17883	−	1.79584i
$241$	10.5510	−	6.09164i	0.679651	−	0.392397i	−0.120072	−	0.992765i	$-0.538313\pi$
$241$	10.5510	−	6.09164i	0.679651	−	0.392397i	0.799724	+	0.600368i	$0.204979\pi$
$242$	4.64302	−	11.6795i	0.298464	−	0.750789i
$243$	21.4157	−	5.73831i	1.37381	−	0.368113i
$244$	15.1031	+	24.5105i	0.966877	+	1.56912i
$245$	1.03650	−	22.6157i	0.0662195	−	1.44487i
$246$	−10.0164	−	1.17304i	−0.638625	−	0.0747900i
$247$	−10.0422	+	17.3936i	−0.638969	+	1.10673i
$248$	−12.6322	+	18.0149i	−0.802148	+	1.14394i
$249$	−8.35808	+	4.82554i	−0.529672	+	0.305806i
$250$	1.68784	+	1.25714i	0.106748	+	0.0795085i
$251$	−6.68926	+	6.68926i	−0.422223	+	0.422223i	−0.885968	−	0.463746i	$-0.846505\pi$
$251$	−6.68926	+	6.68926i	−0.422223	+	0.422223i	0.463746	+	0.885968i	$0.346505\pi$
$252$	7.42679	+	17.6427i	0.467844	+	1.11139i
$253$	2.37314	+	2.37314i	0.149198	+	0.149198i
$254$	−6.28593	+	0.919310i	−0.394414	+	0.0576827i
$255$	−9.72432	−	16.8430i	−0.608961	−	1.05475i
$256$	6.36366	−	14.6800i	0.397729	−	0.917503i
$257$	3.32837	+	1.92163i	0.207618	+	0.119868i	0.600204	−	0.799847i	$-0.295086\pi$
$257$	3.32837	+	1.92163i	0.207618	+	0.119868i	−0.392586	+	0.919715i	$0.628419\pi$
$258$	22.7184	+	28.7454i	1.41439	+	1.78961i
$259$	−1.74542	+	2.16993i	−0.108455	+	0.134833i
$260$	−6.57999	+	27.7077i	−0.408074	+	1.71836i
$261$	2.05452	+	7.66759i	0.127172	+	0.474612i
$262$	7.74413	+	17.9640i	0.478434	+	1.10982i
$263$	3.15784	+	5.46953i	0.194720	+	0.337266i	0.946809	−	0.321797i	$-0.104287\pi$
$263$	3.15784	+	5.46953i	0.194720	+	0.337266i	−0.752088	+	0.659062i	$0.770953\pi$
$264$	−0.928833	+	10.5348i	−0.0571657	+	0.648375i
$265$	−37.1409			−2.28155
$266$	8.66099	−	14.7084i	0.531039	−	0.901829i
$267$	−8.76556	−	8.76556i	−0.536444	−	0.536444i
$268$	−5.37319	+	0.153928i	−0.328220	+	0.00940266i
$269$	−23.2914	−	6.24090i	−1.42010	−	0.380514i	−0.534580	−	0.845118i	$-0.679530\pi$
$269$	−23.2914	−	6.24090i	−1.42010	−	0.380514i	−0.885519	+	0.464603i	$0.846197\pi$
$270$	6.75196	+	2.68414i	0.410911	+	0.163351i
$271$	−4.73315	+	8.19805i	−0.287518	+	0.497996i	−0.973217	−	0.229890i	$-0.926163\pi$
$271$	−4.73315	+	8.19805i	−0.287518	+	0.497996i	0.685699	+	0.727886i	$0.259497\pi$
$272$	4.20398	−	8.35210i	0.254904	−	0.506420i
$273$	12.0979	−	27.4141i	0.732200	−	1.65918i
$274$	2.21165	+	2.79837i	0.133610	+	0.169056i
$275$	−2.05407	−	7.66590i	−0.123865	−	0.462271i
$276$	10.4539	+	5.64274i	0.629249	+	0.339653i
$277$	11.3278	+	3.03526i	0.680619	+	0.182371i	0.582533	−	0.812807i	$-0.302062\pi$
$277$	11.3278	+	3.03526i	0.680619	+	0.182371i	0.0980853	+	0.995178i	$0.468728\pi$
$278$	−9.62998	−	7.17262i	−0.577568	−	0.430185i
$279$		−	28.1409i		−	1.68475i
$280$	5.79391	−	23.4989i	0.346252	−	1.40433i
$281$			5.59517i			0.333780i	0.985976	+	0.166890i	$0.0533724\pi$
$281$			5.59517i			0.333780i	−0.985976	+	0.166890i	$0.946628\pi$
$282$	6.19407	−	8.31618i	0.368851	−	0.495221i
$283$	3.70559	+	0.992910i	0.220275	+	0.0590224i	0.367268	−	0.930115i	$-0.380293\pi$
$283$	3.70559	+	0.992910i	0.220275	+	0.0590224i	−0.146994	+	0.989137i	$0.546960\pi$
$284$	14.3401	−	4.28611i	0.850926	−	0.254334i
$285$	−9.82326	−	36.6609i	−0.581880	−	2.17160i
$286$	7.10019	−	5.61151i	0.419843	−	0.331816i
$287$	−4.33042	−	5.91938i	−0.255617	−	0.349410i
$288$	4.11564	+	20.0457i	0.242516	+	1.18120i
$289$	−5.76778	+	9.99009i	−0.339281	+	0.587652i
$290$	3.70767	−	9.32665i	0.217722	−	0.547680i
$291$	−14.5744	−	3.90519i	−0.854365	−	0.228927i
$292$	16.4378	+	15.5222i	0.961949	+	0.908369i
$293$	9.74731	+	9.74731i	0.569444	+	0.569444i	0.931973	−	0.362529i	$-0.118087\pi$
$293$	9.74731	+	9.74731i	0.569444	+	0.569444i	−0.362529	+	0.931973i	$0.618087\pi$
$294$	−10.4811	+	23.2092i	−0.611270	+	1.35359i
$295$	−12.6359			−0.735692
$296$	−2.28186	+	1.91209i	−0.132630	+	0.111138i
$297$	−1.15450	−	1.99965i	−0.0669908	−	0.116031i
$298$	−11.0365	+	4.75775i	−0.639329	+	0.275609i
$299$	−2.63108	−	9.81932i	−0.152159	−	0.567866i
$300$	−14.7368	−	23.9161i	−0.850832	−	1.38080i
$301$	−4.08198	+	26.3314i	−0.235282	+	1.51772i
$302$	11.3599	−	8.97813i	0.653691	−	0.516633i
$303$	3.21608	+	1.85681i	0.184759	+	0.106671i
$304$	12.1431	−	13.6204i	0.696454	−	0.781185i
$305$	23.2783	+	40.3192i	1.33291	+	2.30867i
$306$	1.73060	+	11.8333i	0.0989320	+	0.676463i
$307$	−20.5735	−	20.5735i	−1.17419	−	1.17419i	−0.981201	−	0.192988i	$-0.938182\pi$
$307$	−20.5735	−	20.5735i	−1.17419	−	1.17419i	−0.192988	−	0.981201i	$-0.561818\pi$
$308$	−6.07488	+	4.71707i	−0.346149	+	0.268780i
$309$	4.41365	−	4.41365i	0.251084	−	0.251084i
$310$	−21.2535	+	28.5350i	−1.20712	+	1.62068i
$311$	0.495271	−	0.285945i	0.0280843	−	0.0162145i	−0.485892	−	0.874019i	$-0.661505\pi$
$311$	0.495271	−	0.285945i	0.0280843	−	0.0162145i	0.513976	+	0.857804i	$0.328172\pi$
$312$	18.3915	−	26.2281i	1.04121	−	1.48488i
$313$	0.707287	−	1.22506i	0.0399782	−	0.0692443i	−0.845344	−	0.534222i	$-0.820604\pi$
$313$	0.707287	−	1.22506i	0.0399782	−	0.0692443i	0.885322	+	0.464978i	$0.153938\pi$
$314$	2.41513	−	20.6226i	0.136294	−	1.16380i
$315$	11.1880	+	28.8624i	0.630372	+	1.62621i
$316$	1.58793	+	0.377100i	0.0893281	+	0.0212135i
$317$	−25.2914	+	6.77681i	−1.42051	+	0.380624i	−0.885663	−	0.464328i	$-0.846296\pi$
$317$	−25.2914	+	6.77681i	−1.42051	+	0.380624i	−0.534843	+	0.844951i	$0.679629\pi$
$318$	38.8227	+	15.4334i	2.17707	+	0.865461i
$319$	−2.76217	+	1.59474i	−0.154652	+	0.0892882i
$320$	10.9663	−	23.4348i	0.613034	−	1.31004i
$321$		−	11.5785i		−	0.646248i
$322$	2.16438	+	8.36395i	0.120616	+	0.466105i
$323$	7.54051	−	7.54051i	0.419565	−	0.419565i
$324$	9.83874	+	9.29073i	0.546597	+	0.516152i
$325$	−6.22177	+	23.2200i	−0.345122	+	1.28801i
$326$	−29.8541	+	12.8698i	−1.65346	+	0.712794i
$327$	7.25406	+	4.18813i	0.401150	+	0.231604i
$328$	−3.30882	−	7.10830i	−0.182699	−	0.392490i
$329$	7.49728	−	0.812871i	0.413338	−	0.0448150i
$330$	−1.98924	+	16.9860i	−0.109504	+	0.935046i
$331$	2.71378	−	0.727156i	0.149163	−	0.0399681i	−0.183465	−	0.983026i	$-0.558731\pi$
$331$	2.71378	−	0.727156i	0.149163	−	0.0399681i	0.332628	+	0.943058i	$0.392065\pi$
$332$	−6.60290	−	3.56408i	−0.362381	−	0.195604i
$333$	0.985490	−	3.67790i	0.0540045	−	0.201548i
$334$	−5.34682	+	0.781968i	−0.292565	+	0.0427874i
$335$	−8.69259			−0.474927
$336$	−15.8209	+	22.1554i	−0.863102	+	1.20868i
$337$	−23.9205			−1.30303			−0.651517	−	0.758634i	$-0.725867\pi$
$337$	−23.9205			−1.30303			−0.651517	+	0.758634i	$0.725867\pi$
$338$	−8.93248	+	1.30637i	−0.485863	+	0.0710570i
$339$	−7.68312	+	28.6738i	−0.417290	+	1.55735i
$340$	7.18226	−	13.3060i	0.389513	−	0.721620i
$341$	10.9216	−	2.92644i	0.591438	−	0.158475i
$342$	−2.71462	+	23.1799i	−0.146790	+	1.25343i
$343$	−17.5566	+	5.89614i	−0.947969	+	0.318362i
$344$	−9.76072	+	26.7612i	−0.526263	+	1.44287i
$345$	16.6368	+	9.60525i	0.895695	+	0.517130i
$346$	10.7962	−	4.65416i	0.580408	−	0.250209i
$347$	−3.23720	+	12.0814i	−0.173782	+	0.648563i	0.822974	+	0.568079i	$0.192313\pi$
$347$	−3.23720	+	12.0814i	−0.173782	+	0.648563i	−0.996756	+	0.0804837i	$0.974353\pi$
$348$	−7.75112	+	8.20832i	−0.415504	+	0.440012i
$349$	21.9157	−	21.9157i	1.17312	−	1.17312i	0.191662	−	0.981461i	$-0.438612\pi$
$349$	21.9157	−	21.9157i	1.17312	−	1.17312i	0.981461	−	0.191662i	$-0.0613878\pi$
$350$	5.45677	−	19.6877i	0.291676	−	1.05235i
$351$			6.99394i			0.373309i
$352$	−7.35183	+	3.68189i	−0.391854	+	0.196246i
$353$	−18.1984	+	10.5069i	−0.968604	+	0.559224i	−0.898810	−	0.438337i	$-0.855567\pi$
$353$	−18.1984	+	10.5069i	−0.968604	+	0.559224i	−0.0697939	+	0.997561i	$0.522234\pi$
$354$	13.2081	+	5.25069i	0.702004	+	0.279071i
$355$	23.3784	−	6.26421i	1.24079	−	0.332470i
$356$	2.22684	−	9.37699i	0.118022	−	0.496979i
$357$	−9.97186	+	12.3972i	−0.527767	+	0.656127i
$358$	3.17852	−	27.1411i	0.167990	−	1.43445i
$359$	4.78310	−	8.28458i	0.252443	−	0.437243i	−0.711755	−	0.702428i	$-0.752099\pi$
$359$	4.78310	−	8.28458i	0.252443	−	0.437243i	0.964198	+	0.265184i	$0.0854328\pi$
$360$	5.72444	+	32.5933i	0.301705	+	1.71782i
$361$	1.56807	−	0.905328i	0.0825302	−	0.0476488i
$362$	−7.25395	+	9.73918i	−0.381259	+	0.511880i
$363$	−16.1661	+	16.1661i	−0.848498	+	0.848498i
$364$	23.0795	−	3.17336i	1.20970	−	0.166329i
$365$	25.8520	+	25.8520i	1.35315	+	1.35315i
$366$	−7.57832	−	51.8179i	−0.396125	−	2.70857i
$367$	−3.06305	−	5.30536i	−0.159890	−	0.276938i	0.774939	−	0.632036i	$-0.217781\pi$
$367$	−3.06305	−	5.30536i	−0.159890	−	0.276938i	−0.934829	+	0.355099i	$0.884447\pi$
$368$	0.528740	+	9.22082i	0.0275625	+	0.480668i
$369$	8.68463	+	5.01408i	0.452104	+	0.261022i
$370$	−3.77703	+	2.98511i	−0.196359	+	0.155189i
$371$	10.9813	+	28.3292i	0.570123	+	1.47078i
$372$	34.0733	−	20.9956i	1.76662	−	1.08857i
$373$	−4.25162	−	15.8673i	−0.220140	−	0.821575i	−0.984293	−	0.176540i	$-0.943509\pi$
$373$	−4.25162	−	15.8673i	−0.220140	−	0.821575i	0.764153	−	0.645035i	$-0.223157\pi$
$374$	−4.41257	+	1.90222i	−0.228168	+	0.0983615i
$375$	−1.91411	−	3.31533i	−0.0988440	−	0.171203i
$376$	8.03075	+	0.708052i	0.414154	+	0.0365150i
$377$	9.66091			0.497562
$378$	0.0509957	−	5.94367i	0.00262294	−	0.305710i
$379$	6.05253	+	6.05253i	0.310897	+	0.310897i	0.845257	−	0.534360i	$-0.179447\pi$
$379$	6.05253	+	6.05253i	0.310897	+	0.310897i	−0.534360	+	0.845257i	$0.679447\pi$
$380$	20.2593	−	21.4543i	1.03928	−	1.10058i
$381$	11.1620	+	2.99085i	0.571846	+	0.153226i
$382$	7.94524	−	19.9863i	0.406514	−	1.02259i
$383$	9.64030	−	16.6975i	0.492596	−	0.853202i	−0.507367	−	0.861730i	$-0.669381\pi$
$383$	9.64030	−	16.6975i	0.492596	−	0.853202i	0.999964	+	0.00852805i	$0.00271459\pi$
$384$	−21.2009	+	19.9391i	−1.08190	+	1.01751i
$385$	−10.0381	+	7.34357i	−0.511591	+	0.374263i
$386$	−24.9416	+	19.7121i	−1.26949	+	1.00332i
$387$	−9.42954	−	35.1915i	−0.479330	−	1.78889i
$388$	−3.35939	−	11.2395i	−0.170547	−	0.570600i
$389$	−27.6476	−	7.40814i	−1.40179	−	0.375608i	−0.522801	−	0.852455i	$-0.675113\pi$
$389$	−27.6476	−	7.40814i	−1.40179	−	0.375608i	−0.878986	+	0.476847i	$0.841779\pi$
$390$	30.9433	−	41.5446i	1.56688	−	2.10369i
$391$			5.39753i			0.272965i
$392$	−19.6369	+	2.52854i	−0.991811	+	0.127711i
$393$		−	35.5835i		−	1.79495i
$394$	13.3384	+	9.93471i	0.671978	+	0.500504i
$395$	2.54934	+	0.683093i	0.128271	+	0.0343701i
$396$	4.99515	−	9.25413i	0.251016	−	0.465038i
$397$	−2.40028	−	8.95799i	−0.120467	−	0.449588i	0.879171	−	0.476507i	$-0.158097\pi$
$397$	−2.40028	−	8.95799i	−0.120467	−	0.449588i	−0.999638	+	0.0269184i	$0.991431\pi$
$398$	−8.96198	−	11.3395i	−0.449223	−	0.568398i
$399$	−25.0587	+	18.3321i	−1.25451	+	0.917754i
$400$	9.81954	−	19.5086i	0.490977	−	0.975429i
$401$	17.5281	−	30.3596i	0.875312	−	1.51609i	0.0188827	−	0.999822i	$-0.493989\pi$
$401$	17.5281	−	30.3596i	0.875312	−	1.51609i	0.856430	−	0.516264i	$-0.172678\pi$
$402$	9.08621	+	3.61208i	0.453179	+	0.180154i
$403$	−33.0815	−	8.86416i	−1.64791	−	0.441555i
$404$	0.0826772	+	2.88603i	0.00411335	+	0.143585i
$405$	15.4735	+	15.4735i	0.768886	+	0.768886i
$406$	−8.21014	−	0.0704417i	−0.407463	−	0.00349596i
$407$	1.52989			0.0758338
$408$	−13.0366	+	10.9241i	−0.645409	+	0.540822i
$409$	−17.4392	−	30.2056i	−0.862314	−	1.49357i	−0.869690	−	0.493598i	$-0.835681\pi$
$409$	−17.4392	−	30.2056i	−0.862314	−	1.49357i	0.00737621	−	0.999973i	$-0.497652\pi$
$410$	−5.01936	−	11.6434i	−0.247889	−	0.575026i
$411$	−1.67923	−	6.26699i	−0.0828306	−	0.309128i
$412$	4.72152	+	1.12126i	0.232613	+	0.0552406i
$413$	3.73603	+	9.63807i	0.183838	+	0.474258i
$414$	−7.32458	−	9.26772i	−0.359984	−	0.455484i
$415$	−10.5082	−	6.06689i	−0.515826	−	0.297812i
$416$	24.8614	+	1.47603i	1.21893	+	0.0723683i
$417$	10.9209	+	18.9156i	0.534801	+	0.926302i
$418$	−9.27852	+	1.35697i	−0.453827	+	0.0663718i
$419$	8.57828	+	8.57828i	0.419076	+	0.419076i	0.884885	−	0.465809i	$-0.154237\pi$
$419$	8.57828	+	8.57828i	0.419076	+	0.419076i	−0.465809	+	0.884885i	$0.654237\pi$
$420$	−26.5996	+	35.0803i	−1.29793	+	1.71175i
$421$	−7.41183	+	7.41183i	−0.361230	+	0.361230i	−0.864266	−	0.503035i	$-0.832217\pi$
$421$	−7.41183	+	7.41183i	−0.361230	+	0.361230i	0.503035	+	0.864266i	$0.332217\pi$
$422$	−9.20309	−	6.85466i	−0.447999	−	0.333680i
$423$	−8.92967	+	5.15555i	−0.434175	+	0.250671i
$424$	5.61870	+	31.9913i	0.272868	+	1.55363i
$425$	6.38184	−	11.0537i	0.309565	−	0.536182i
$426$	−27.0400	−	3.16668i	−1.31009	−	0.153426i
$427$	23.8709	−	29.6766i	1.15519	−	1.43615i
$428$	7.66379	−	4.72234i	0.370443	−	0.228263i
$429$	−15.9010	+	4.26065i	−0.767706	+	0.205706i
$430$	−17.0169	+	42.8060i	−0.820626	+	2.06429i
$431$	−1.39637	+	0.806195i	−0.0672608	+	0.0388331i	−0.533253	−	0.845956i	$-0.679031\pi$
$431$	−1.39637	+	0.806195i	−0.0672608	+	0.0388331i	0.465992	+	0.884789i	$0.345697\pi$
$432$	1.29054	−	6.22186i	0.0620911	−	0.299349i
$433$			13.0869i			0.628917i	0.949271	+	0.314458i	$0.101823\pi$
$433$			13.0869i			0.628917i	−0.949271	+	0.314458i	$0.898177\pi$
$434$	28.0491	+	7.77426i	1.34640	+	0.373176i
$435$	−12.9093	+	12.9093i	−0.618956	+	0.618956i
$436$	0.186483	+	6.50960i	0.00893093	+	0.311753i
$437$	−2.72622	+	10.1744i	−0.130413	+	0.486708i
$438$	−16.2802	−	37.7650i	−0.777898	−	1.80448i
$439$	1.71358	+	0.989334i	0.0817846	+	0.0472184i	0.540335	−	0.841450i	$-0.318298\pi$
$439$	1.71358	+	0.989334i	0.0817846	+	0.0472184i	−0.458550	+	0.888669i	$0.651631\pi$
$440$	−12.0543	+	5.61113i	−0.574666	+	0.267500i
$441$	18.7069	−	17.0673i	0.890803	−	0.812729i
$442$	14.4559	+	1.69294i	0.687597	+	0.0805251i
$443$	−33.5156	+	8.98048i	−1.59237	+	0.426675i	−0.942728	−	0.333562i	$-0.891749\pi$
$443$	−33.5156	+	8.98048i	−1.59237	+	0.426675i	−0.649646	+	0.760237i	$0.725083\pi$
$444$	5.18849	−	1.55079i	0.246235	−	0.0735973i
$445$	4.03377	−	15.0542i	0.191219	−	0.713640i
$446$	−3.57993	−	24.4783i	−0.169514	−	1.15908i
$447$	21.8614			1.03401
$448$	−21.1173	−	1.43565i	−0.997697	−	0.0678282i
$449$	20.0460			0.946031			0.473015	−	0.881054i	$-0.343166\pi$
$449$	20.0460			0.946031			0.473015	+	0.881054i	$0.343166\pi$
$450$	4.04229	+	27.6398i	0.190555	+	1.30295i
$451$	−1.04285	+	3.89196i	−0.0491058	+	0.183265i
$452$	−22.1127	+	6.60930i	−1.04010	+	0.310875i
$453$	−25.4407	+	6.81682i	−1.19531	+	0.320282i
$454$	24.6177	+	2.88300i	1.15537	+	0.135306i
$455$	37.4537	−	4.06081i	1.75586	−	0.190374i
$456$	−30.0918	+	14.0074i	−1.40918	+	0.655954i
$457$	−25.9859	−	15.0030i	−1.21557	−	0.701810i	−0.251603	−	0.967830i	$-0.580958\pi$
$457$	−25.9859	−	15.0030i	−1.21557	−	0.701810i	−0.963967	+	0.266020i	$0.914291\pi$
$458$	−3.91361	−	9.07837i	−0.182871	−	0.424204i
$459$	0.961116	−	3.58693i	0.0448611	−	0.167424i
$460$	0.427689	+	14.9294i	0.0199411	+	0.696087i
$461$	18.2334	−	18.2334i	0.849213	−	0.849213i	−0.140822	−	0.990035i	$-0.544974\pi$
$461$	18.2334	−	18.2334i	0.849213	−	0.849213i	0.990035	+	0.140822i	$0.0449744\pi$
$462$	13.5442	−	3.50490i	0.630134	−	0.163062i
$463$			31.3804i			1.45837i	0.684316	+	0.729186i	$0.260101\pi$
$463$			31.3804i			1.45837i	−0.684316	+	0.729186i	$0.739899\pi$
$464$	−8.59440	−	1.78265i	−0.398985	−	0.0827576i
$465$	56.0497	−	32.3603i	2.59924	−	1.50067i
$466$	15.1376	−	38.0787i	0.701235	−	1.76396i
$467$	−23.0310	+	6.17115i	−1.06575	+	0.285567i	−0.748745	−	0.662858i	$-0.769343\pi$
$467$	−23.0310	+	6.17115i	−1.06575	+	0.285567i	−0.317004	+	0.948424i	$0.602677\pi$
$468$	−27.1186	+	16.7102i	−1.25356	+	0.772428i
$469$	2.57011	+	6.63028i	0.118677	+	0.306158i
$470$	12.9485	+	1.51641i	0.597268	+	0.0699466i
$471$	−18.8844	+	32.7088i	−0.870148	+	1.50714i
$472$	1.91157	+	10.8840i	0.0879873	+	0.500975i
$473$	12.6774	−	7.31928i	0.582906	−	0.336541i
$474$	−2.38093	−	1.77337i	−0.109360	−	0.0814535i
$475$	17.6129	−	17.6129i	0.808135	−	0.808135i
$476$	−12.2727	−	1.54412i	−0.562520	−	0.0707746i
$477$	−29.3752	−	29.3752i	−1.34500	−	1.34500i
$478$	−18.6933	+	2.73387i	−0.855010	+	0.125044i
$479$	−17.6784	−	30.6199i	−0.807747	−	1.39906i	−0.914421	−	0.404764i	$-0.867354\pi$
$479$	−17.6784	−	30.6199i	−0.807747	−	1.39906i	0.106674	−	0.994294i	$-0.465980\pi$
$480$	−35.1933	+	31.2486i	−1.60635	+	1.42630i
$481$	−4.01319	−	2.31701i	−0.182986	−	0.105647i
$482$	−10.6835	−	13.5177i	−0.486619	−	0.615714i
$483$	2.40746	−	15.5297i	0.109543	−	0.706625i
$484$	−17.2937	−	4.10688i	−0.786077	−	0.186677i
$485$	−4.90979	−	18.3236i	−0.222942	−	0.832032i
$486$	−12.4125	−	28.7932i	−0.563042	−	1.30608i
$487$	5.31153	+	9.19984i	0.240688	+	0.416884i	0.960911	−	0.276859i	$-0.0892935\pi$
$487$	5.31153	+	9.19984i	0.240688	+	0.416884i	−0.720222	+	0.693743i	$0.755960\pi$
$488$	31.2073	−	26.1503i	1.41269	−	1.18377i
$489$	59.1357			2.67421
$490$	−31.8590	+	3.17792i	−1.43924	+	0.143564i
$491$	26.9088	+	26.9088i	1.21438	+	1.21438i	0.969572	+	0.244806i	$0.0787243\pi$
$491$	26.9088	+	26.9088i	1.21438	+	1.21438i	0.244806	+	0.969572i	$0.421276\pi$
$492$	0.408408	+	14.2564i	0.0184125	+	0.642726i
$493$	−4.95472	−	1.32761i	−0.223149	−	0.0597927i
$494$	26.3944	+	10.4927i	1.18754	+	0.472089i
$495$	8.50291	−	14.7275i	0.382177	−	0.661950i
$496$	27.7939	+	13.9899i	1.24798	+	0.628165i
$497$	−11.6902	−	15.9797i	−0.524379	−	0.716789i
$498$	8.46299	+	10.7081i	0.379236	+	0.479843i
$499$	3.28081	+	12.2441i	0.146869	+	0.548123i	0.999665	+	0.0258790i	$0.00823846\pi$
$499$	3.28081	+	12.2441i	0.146869	+	0.548123i	−0.852796	+	0.522244i	$0.825095\pi$
$500$	1.41373	−	2.61912i	0.0632241	−	0.117130i
$501$	9.49441	+	2.54402i	0.424179	+	0.113658i
$502$	10.7294	+	7.99151i	0.478878	+	0.356679i
$503$		−	13.7074i		−	0.611183i	−0.952163	−	0.305591i	$-0.901146\pi$
$503$		−	13.7074i		−	0.611183i	0.952163	−	0.305591i	$-0.0988542\pi$
$504$	23.1681	−	14.0031i	1.03199	−	0.623748i
$505$			4.66892i			0.207764i
$506$	2.83514	−	3.80647i	0.126037	−	0.169218i
$507$	15.8615	+	4.25008i	0.704434	+	0.188753i
$508$	2.57283	+	8.60793i	0.114151	+	0.381915i
$509$	6.16734	+	23.0168i	0.273363	+	1.02020i	0.956931	+	0.290317i	$0.0937606\pi$
$509$	6.16734	+	23.0168i	0.273363	+	1.02020i	−0.683568	+	0.729887i	$0.739573\pi$
$510$	−21.5788	+	17.0544i	−0.955526	+	0.755183i
$511$	12.0750	−	27.3622i	0.534168	−	1.21043i
$512$	−21.8445	−	5.90058i	−0.965401	−	0.260771i
$513$	3.62343	−	6.27596i	0.159978	−	0.277091i
$514$	2.00784	−	5.05074i	0.0885622	−	0.222778i
$515$	7.58014	+	2.03109i	0.334021	+	0.0895007i
$516$	35.5749	−	37.6733i	1.56610	−	1.65847i
$517$	−2.92950	−	2.92950i	−0.128839	−	0.128839i
$518$	3.39364	+	1.99833i	0.149108	+	0.0878018i
$519$	−21.3854			−0.938715
$520$	40.1187	+	3.53718i	1.75932	+	0.155115i
$521$	11.8589	+	20.5402i	0.519548	+	0.899884i	0.999742	+	0.0227214i	$0.00723308\pi$
$521$	11.8589	+	20.5402i	0.519548	+	0.899884i	−0.480194	+	0.877163i	$0.659434\pi$
$522$	10.3090	−	4.44413i	0.451213	−	0.194514i
$523$	4.85978	+	18.1369i	0.212503	+	0.793073i	0.987031	+	0.160532i	$0.0513211\pi$
$523$	4.85978	+	18.1369i	0.212503	+	0.793073i	−0.774527	+	0.632540i	$0.782012\pi$
$524$	23.5527	−	14.5129i	1.02890	−	0.634000i
$525$	−23.2920	+	28.9569i	−1.01655	+	1.26378i
$526$	7.00742	−	5.53819i	0.305538	−	0.241476i
$527$	15.7482	+	9.09220i	0.686000	+	0.396063i
$528$	14.9318	−	0.856217i	0.649823	−	0.0372621i
$529$	8.83428	+	15.3014i	0.384099	+	0.665279i
$530$	7.60090	+	51.9723i	0.330162	+	2.25753i
$531$	−9.99392	−	9.99392i	−0.433699	−	0.433699i
$532$	−22.3543	−	9.10948i	−0.969183	−	0.394946i
$533$	8.62996	−	8.62996i	0.373805	−	0.373805i
$534$	−10.4720	+	14.0598i	−0.453169	+	0.608426i
$535$	12.6067	−	7.27851i	0.545037	−	0.314677i
$536$	1.31502	+	7.48736i	0.0568003	+	0.323405i
$537$	−24.8536	+	43.0476i	−1.07251	+	1.85764i
$538$	−3.96648	+	33.8694i	−0.171007	+	1.46022i
$539$	8.56926	+	5.48534i	0.369104	+	0.236271i
$540$	2.37420	−	9.99751i	0.102169	−	0.430224i
$541$	25.2496	−	6.76561i	1.08556	−	0.290876i	0.328691	−	0.944437i	$-0.393392\pi$
$541$	25.2496	−	6.76561i	1.08556	−	0.290876i	0.756874	+	0.653561i	$0.226726\pi$
$542$	12.4404	+	4.94549i	0.534361	+	0.212427i
$543$	19.1301	−	11.0448i	0.820952	−	0.473977i
$544$	−12.5477	−	4.17349i	−0.537977	−	0.178937i
$545$			10.5310i			0.451100i
$546$	−40.8371	−	11.3187i	−1.74767	−	0.484395i
$547$	−23.8532	+	23.8532i	−1.01989	+	1.01989i	−0.0200929	+	0.999798i	$0.506396\pi$
$547$	−23.8532	+	23.8532i	−1.01989	+	1.01989i	−0.999798	+	0.0200929i	$0.993604\pi$
$548$	3.46323	−	3.66750i	0.147942	−	0.156668i
$549$	−13.4779	+	50.3001i	−0.575221	+	2.14675i
$550$	−10.3067	+	4.44315i	−0.439481	+	0.189457i
$551$	−8.66915	−	5.00513i	−0.369318	−	0.213226i
$552$	5.75665	−	15.7832i	0.245020	−	0.671777i
$553$	−0.232726	−	2.14648i	−0.00989651	−	0.0912775i
$554$	1.92910	−	16.4724i	0.0819595	−	0.699845i
$555$	8.45871	−	2.26650i	0.359052	−	0.0962077i
$556$	−8.06607	+	14.9434i	−0.342077	+	0.633741i
$557$	11.1522	−	41.6206i	0.472534	−	1.76352i	−0.158083	−	0.987426i	$-0.550532\pi$
$557$	11.1522	−	41.6206i	0.472534	−	1.76352i	0.630617	−	0.776094i	$-0.282802\pi$
$558$	−39.3784	+	5.75905i	−1.66702	+	0.243800i
$559$	−44.3401			−1.87539
$560$	−34.0684	−	3.29853i	−1.43965	−	0.139388i
$561$	8.74052			0.369025
$562$	7.82948	−	1.14505i	0.330266	−	0.0483011i
$563$	−2.30901	+	8.61735i	−0.0973133	+	0.363178i	−0.997360	−	0.0726153i	$-0.976865\pi$
$563$	−2.30901	+	8.61735i	−0.0973133	+	0.363178i	0.900047	+	0.435793i	$0.143532\pi$
$564$	−12.9047	−	6.96562i	−0.543385	−	0.293306i
$565$	−36.0500	+	9.65958i	−1.51664	+	0.406382i
$566$	0.631056	−	5.38854i	0.0265253	−	0.226497i
$567$	7.22743	−	16.3775i	0.303524	−	0.687789i
$568$	−8.93237	−	19.1893i	−0.374794	−	0.805164i
$569$	−5.49552	−	3.17284i	−0.230384	−	0.133012i	0.380365	−	0.924836i	$-0.375798\pi$
$569$	−5.49552	−	3.17284i	−0.230384	−	0.133012i	−0.610749	+	0.791824i	$0.709132\pi$
$570$	−49.2903	+	21.2486i	−2.06454	+	0.890007i
$571$	−9.71490	+	36.2565i	−0.406556	+	1.51729i	0.394612	+	0.918848i	$0.370879\pi$
$571$	−9.71490	+	36.2565i	−0.406556	+	1.51729i	−0.801168	+	0.598439i	$0.795788\pi$
$572$	−9.30540	−	8.78710i	−0.389078	−	0.367407i
$573$	−27.6637	+	27.6637i	−1.15567	+	1.15567i
$574$	−7.39694	+	7.27109i	−0.308742	+	0.303489i
$575$			12.6074i			0.525765i
$576$	27.2083	−	9.86149i	1.13368	−	0.410895i
$577$	−1.63907	+	0.946316i	−0.0682353	+	0.0393957i	−0.533729	−	0.845655i	$-0.679210\pi$
$577$	−1.63907	+	0.946316i	−0.0682353	+	0.0393957i	0.465494	+	0.885051i	$0.345877\pi$
$578$	15.1598	+	6.02654i	0.630564	+	0.250671i
$579$	55.8569	−	14.9668i	2.32134	−	0.622000i
$580$	−13.8098	−	3.27954i	−0.573421	−	0.136175i
$581$	−1.52061	+	9.80889i	−0.0630854	+	0.406941i
$582$	−2.48199	+	21.1935i	−0.102882	+	0.878500i
$583$	8.34585	−	14.4554i	0.345650	−	0.598683i
$584$	18.3567	−	26.1785i	0.759605	−	1.08327i
$585$	−44.6094	+	25.7553i	−1.84437	+	1.06485i
$586$	11.6449	−	15.6345i	0.481046	−	0.645854i
$587$	26.8519	−	26.8519i	1.10830	−	1.10830i	0.114923	−	0.993374i	$-0.463338\pi$
$587$	26.8519	−	26.8519i	1.10830	−	1.10830i	0.993374	−	0.114923i	$-0.0366621\pi$
$588$	34.6222	+	9.91673i	1.42779	+	0.408959i
$589$	25.0931	+	25.0931i	1.03394	+	1.03394i
$590$	2.58595	+	17.6818i	0.106462	+	0.727949i
$591$	−15.1265	−	26.1998i	−0.622220	−	1.07772i
$592$	3.14262	+	2.80175i	0.129161	+	0.115151i
$593$	−23.8885	−	13.7920i	−0.980984	−	0.566372i	−0.0784171	−	0.996921i	$-0.524987\pi$
$593$	−23.8885	−	13.7920i	−0.980984	−	0.566372i	−0.902567	+	0.430549i	$0.858320\pi$
$594$	−2.56190	+	2.02475i	−0.105116	+	0.0830765i
$595$	−19.7667	−	3.06430i	−0.810354	−	0.125624i
$596$	8.91628	+	14.4700i	0.365225	+	0.592716i
$597$	6.80456	+	25.3950i	0.278492	+	1.03935i
$598$	−13.2020	+	5.69127i	−0.539870	+	0.232733i
$599$	−11.8101	−	20.4557i	−0.482548	−	0.835797i	0.517252	−	0.855833i	$-0.326955\pi$
$599$	−11.8101	−	20.4557i	−0.482548	−	0.835797i	−0.999799	+	0.0200365i	$0.993622\pi$
$600$	−30.4506	+	25.5161i	−1.24314	+	1.04169i
$601$	5.61717			0.229129			0.114565	−	0.993416i	$-0.463453\pi$
$601$	5.61717			0.229129			0.114565	+	0.993416i	$0.463453\pi$
$602$	37.6816	+	0.323302i	1.53579	+	0.0131768i
$603$	−6.87508	−	6.87508i	−0.279975	−	0.279975i
$604$	−14.8882	−	14.0589i	−0.605791	−	0.572049i
$605$	−27.7641	−	7.43936i	−1.12877	−	0.302453i
$606$	1.94011	−	4.88035i	0.0788115	−	0.198251i
$607$	−2.43281	+	4.21375i	−0.0987446	+	0.171031i	−0.911165	−	0.412041i	$-0.864816\pi$
$607$	−2.43281	+	4.21375i	−0.0987446	+	0.171031i	0.812421	+	0.583072i	$0.198149\pi$
$608$	−21.5445	−	14.2047i	−0.873746	−	0.576078i
$609$	13.6635	+	6.02975i	0.553672	+	0.244338i
$610$	51.6558	−	40.8253i	2.09148	−	1.65297i
$611$	3.24791	+	12.1214i	0.131396	+	0.490378i
$612$	16.2044	−	4.84336i	0.655026	−	0.195781i
$613$	3.99109	+	1.06941i	0.161199	+	0.0431931i	0.338516	−	0.940961i	$-0.390075\pi$
$613$	3.99109	+	1.06941i	0.161199	+	0.0431931i	−0.177317	+	0.984154i	$0.556742\pi$
$614$	−24.5786	+	32.9994i	−0.991913	+	1.33175i
$615$			23.0635i			0.930010i
$616$	7.84395	+	7.53540i	0.316042	+	0.303610i
$617$		−	25.3025i		−	1.01864i	−0.860578	−	0.509319i	$-0.829897\pi$
$617$		−	25.3025i		−	1.01864i	0.860578	−	0.509319i	$-0.170103\pi$
$618$	−7.07940	−	5.27289i	−0.284775	−	0.212107i
$619$	−17.7405	−	4.75356i	−0.713051	−	0.191062i	−0.115982	−	0.993251i	$-0.537002\pi$
$619$	−17.7405	−	4.75356i	−0.713051	−	0.191062i	−0.597069	+	0.802190i	$0.703668\pi$
$620$	44.2794	+	23.9009i	1.77830	+	0.959884i
$621$	0.949348	+	3.54302i	0.0380960	+	0.142176i
$622$	−0.501488	−	0.634528i	−0.0201078	−	0.0254423i
$623$	−12.6753	+	1.37428i	−0.507825	+	0.0550595i
$624$	−40.4656	−	20.3681i	−1.61992	−	0.815378i
$625$	−11.2438	+	19.4749i	−0.449753	+	0.778995i
$626$	−1.85900	−	0.739018i	−0.0743006	−	0.0295371i
$627$	16.4760	+	4.41472i	0.657987	+	0.176307i
$628$	−29.3520	+	0.840859i	−1.17127	+	0.0335539i
$629$	1.73981	+	1.73981i	0.0693707	+	0.0693707i
$630$	38.0983	−	21.5624i	1.51787	−	0.859065i
$631$	−41.4293			−1.64928			−0.824638	−	0.565661i	$-0.808621\pi$
$631$	−41.4293			−1.64928			−0.824638	+	0.565661i	$0.808621\pi$
$632$	0.202716	−	2.29921i	0.00806361	−	0.0914577i
$633$	10.4368	+	18.0771i	0.414826	+	0.718500i
$634$	14.6589	+	34.0041i	0.582178	+	1.35047i
$635$	3.76023	+	14.0334i	0.149220	+	0.556897i
$636$	13.6513	−	57.4842i	0.541308	−	2.27940i
$637$	−14.1712	−	27.3672i	−0.561484	−	1.08433i
$638$	2.79684	+	3.53881i	0.110728	+	0.140103i
$639$	23.4447	+	13.5358i	0.927458	+	0.535468i
$640$	−35.0372	−	10.5495i	−1.38497	−	0.417006i
$641$	−17.0933	−	29.6065i	−0.675146	−	1.16939i	−0.976426	−	0.215852i	$-0.930747\pi$
$641$	−17.0933	−	29.6065i	−0.675146	−	1.16939i	0.301280	−	0.953536i	$-0.402586\pi$
$642$	−16.2021	+	2.36954i	−0.639446	+	0.0935184i
$643$	−3.46526	−	3.46526i	−0.136657	−	0.136657i	0.635469	−	0.772126i	$-0.280807\pi$
$643$	−3.46526	−	3.46526i	−0.136657	−	0.136657i	−0.772126	+	0.635469i	$0.780807\pi$
$644$	11.2610	−	4.74036i	0.443744	−	0.186796i
$645$	59.2493	−	59.2493i	2.33294	−	2.33294i
$646$	−12.0948	−	9.00848i	−0.475864	−	0.354434i
$647$	27.2890	−	15.7553i	1.07284	−	0.619406i	0.143886	−	0.989594i	$-0.454040\pi$
$647$	27.2890	−	15.7553i	1.07284	−	0.619406i	0.928957	+	0.370188i	$0.120707\pi$
$648$	10.9873	−	15.6690i	0.431621	−	0.615535i
$649$	2.83939	−	4.91797i	0.111456	−	0.193047i
$650$	33.7656	+	3.95433i	1.32440	+	0.155101i
$651$	−41.2549	−	33.1841i	−1.61691	−	1.30059i
$652$	24.1188	+	39.1418i	0.944563	+	1.53291i
$653$	19.3649	−	5.18880i	0.757805	−	0.203053i	0.140828	−	0.990034i	$-0.455024\pi$
$653$	19.3649	−	5.18880i	0.757805	−	0.203053i	0.616977	+	0.786981i	$0.288357\pi$
$654$	4.37602	−	11.0079i	0.171116	−	0.430443i
$655$	38.7436	−	22.3686i	1.51384	−	0.874015i
$656$	−9.26969	+	6.08485i	−0.361920	+	0.237573i
$657$			40.8933i			1.59540i
$658$	−2.67179	−	10.3248i	−0.104157	−	0.402502i
$659$	29.3969	−	29.3969i	1.14514	−	1.14514i	0.157643	−	0.987496i	$-0.449610\pi$
$659$	29.3969	−	29.3969i	1.14514	−	1.14514i	0.987496	−	0.157643i	$-0.0503896\pi$
$660$	24.1760	−	0.692581i	0.941051	−	0.0269587i
$661$	12.5518	−	46.8440i	0.488208	−	1.82202i	−0.0769483	−	0.997035i	$-0.524518\pi$
$661$	12.5518	−	46.8440i	0.488208	−	1.82202i	0.565157	−	0.824984i	$-0.308816\pi$
$662$	−1.57291	−	3.64866i	−0.0611328	−	0.141809i
$663$	−22.9280	−	13.2375i	−0.890450	−	0.514102i
$664$	−3.63603	+	9.96901i	−0.141105	+	0.386873i
$665$	−35.7127	−	15.7601i	−1.38488	−	0.611151i
$666$	−5.34827	−	0.626340i	−0.207241	−	0.0242702i
$667$	4.89406	−	1.31136i	0.189499	−	0.0507760i
$668$	2.18846	+	7.32193i	0.0846740	+	0.283294i
$669$	−11.6468	+	43.4664i	−0.450290	+	1.68051i
$670$	1.77894	+	12.1638i	0.0687265	+	0.469928i
$671$	−20.9232			−0.807733
$672$	34.2404	+	17.6045i	1.32085	+	0.679110i
$673$	11.6457			0.448909			0.224454	−	0.974485i	$-0.427940\pi$
$673$	11.6457			0.448909			0.224454	+	0.974485i	$0.427940\pi$
$674$	4.89535	+	33.4727i	0.188562	+	1.28932i
$675$	2.24495	−	8.37826i	0.0864080	−	0.322479i
$676$	3.65607	+	12.2321i	0.140618	+	0.470466i
$677$	32.6233	−	8.74138i	1.25381	−	0.335959i	0.430006	−	0.902826i	$-0.358512\pi$
$677$	32.6233	−	8.74138i	1.25381	−	0.335959i	0.823809	+	0.566868i	$0.191845\pi$
$678$	41.6964	+	4.88310i	1.60134	+	0.187534i
$679$	−12.5247	+	9.16263i	−0.480653	+	0.351630i
$680$	−20.0893	−	7.32725i	−0.770391	−	0.280987i
$681$	−39.0453	−	22.5428i	−1.49622	−	0.863843i
$682$	−6.33015	−	14.6840i	−0.242394	−	0.562280i
$683$	1.76166	−	6.57460i	0.0674080	−	0.251570i	−0.923997	−	0.382400i	$-0.875098\pi$
$683$	1.76166	−	6.57460i	0.0674080	−	0.251570i	0.991405	+	0.130830i	$0.0417643\pi$
$684$	32.9919	−	0.945133i	1.26148	−	0.0361381i
$685$	5.76794	−	5.76794i	0.220382	−	0.220382i
$686$	11.8436	+	23.3608i	0.452191	+	0.891921i
$687$			17.9827i			0.686081i
$688$	39.4453	+	8.18175i	1.50384	+	0.311926i
$689$	−43.7854	+	25.2795i	−1.66809	+	0.963073i
$690$	10.0362	−	25.2460i	0.382071	−	0.961100i
$691$	29.7544	−	7.97267i	1.13191	−	0.303295i	0.356217	−	0.934403i	$-0.384066\pi$
$691$	29.7544	−	7.97267i	1.13191	−	0.303295i	0.775695	+	0.631108i	$0.217400\pi$
$692$	−8.72214	−	14.1550i	−0.331566	−	0.538091i
$693$	−13.7474	−	2.13117i	−0.522221	−	0.0809565i
$694$	17.5683	+	2.05744i	0.666884	+	0.0780994i
$695$	−13.7303	+	23.7816i	−0.520821	+	0.902088i
$696$	13.0724	+	9.16652i	0.495508	+	0.347456i
$697$	−5.61193	+	3.24005i	−0.212567	+	0.122726i
$698$	−35.1524	−	26.1822i	−1.33054	−	0.991013i
$699$	−52.7060	+	52.7060i	−1.99352	+	1.99352i
$700$	−28.6663	−	3.60671i	−1.08348	−	0.136321i
$701$	−28.2191	−	28.2191i	−1.06582	−	1.06582i	−0.997675	−	0.0681440i	$-0.978292\pi$
$701$	−28.2191	−	28.2191i	−1.06582	−	1.06582i	−0.0681440	−	0.997675i	$-0.521708\pi$
$702$	9.78682	−	1.43131i	0.369380	−	0.0540214i
$703$	2.40080	+	4.15831i	0.0905480	+	0.156834i
$704$	6.65673	+	9.53411i	0.250885	+	0.359330i
$705$	−20.5371	−	11.8571i	−0.773473	−	0.446565i
$706$	18.4269	+	23.3153i	0.693504	+	0.877484i
$707$	3.56123	−	1.38045i	0.133934	−	0.0519171i
$708$	4.64439	−	19.5571i	0.174547	−	0.734999i
$709$	−4.97862	−	18.5805i	−0.186976	−	0.697804i	−0.994199	−	0.107557i	$-0.965697\pi$
$709$	−4.97862	−	18.5805i	−0.186976	−	0.697804i	0.807223	−	0.590247i	$-0.200970\pi$
$710$	−13.5501	−	31.4320i	−0.508525	−	1.17962i
$711$	1.47604	+	2.55657i	0.0553557	+	0.0958790i
$712$	−13.5772	−	1.19707i	−0.508827	−	0.0448621i
$713$	−17.9618			−0.672673
$714$	19.3884	+	11.4168i	0.725594	+	0.427264i
$715$	−14.6347	−	14.6347i	−0.547308	−	0.547308i
$716$	−38.6298	+	1.10665i	−1.44366	+	0.0413573i
$717$	33.1938	+	8.89426i	1.23965	+	0.332162i
$718$	−12.5717	−	4.99769i	−0.469172	−	0.186512i
$719$	11.9289	−	20.6615i	0.444873	−	0.770543i	−0.553170	−	0.833068i	$-0.686582\pi$
$719$	11.9289	−	20.6615i	0.444873	−	0.770543i	0.998043	+	0.0625253i	$0.0199154\pi$
$720$	44.4372	−	14.6806i	1.65608	−	0.547114i
$721$	−0.691981	−	6.38229i	−0.0257707	−	0.237689i
$722$	−1.58776	−	2.00897i	−0.0590902	−	0.0747662i
$723$	8.11163	+	30.2730i	0.301675	+	1.12587i
$724$	15.1128	+	8.15753i	0.561664	+	0.303172i
$725$	−11.5731	−	3.10100i	−0.429814	−	0.115168i
$726$	25.9300	+	19.3132i	0.962352	+	0.716781i
$727$			28.5645i			1.05940i	0.848185	+	0.529700i	$0.177695\pi$
$727$			28.5645i			1.05940i	−0.848185	+	0.529700i	$0.822305\pi$
$728$	−9.16381	−	31.6464i	−0.339633	−	1.17289i
$729$			36.7360i			1.36059i
$730$	30.8848	−	41.4660i	1.14310	−	1.53473i
$731$	22.7404	+	6.09328i	0.841085	+	0.225368i
$732$	−70.9593	+	21.2091i	−2.62273	+	0.783911i
$733$	6.04445	+	22.5582i	0.223257	+	0.833206i	0.983095	+	0.183094i	$0.0586113\pi$
$733$	6.04445	+	22.5582i	0.223257	+	0.833206i	−0.759839	+	0.650112i	$0.774722\pi$
$734$	−6.79708	+	5.37196i	−0.250885	+	0.198283i
$735$	55.5055	+	17.6331i	2.04735	+	0.650406i
$736$	12.7947	−	2.62692i	0.471620	−	0.0968297i
$737$	1.95329	−	3.38320i	0.0719504	−	0.124622i
$738$	5.23902	−	13.1788i	0.192851	−	0.485118i
$739$	1.72028	+	0.460947i	0.0632814	+	0.0169562i	0.290321	−	0.956929i	$-0.406238\pi$
$739$	1.72028	+	0.460947i	0.0632814	+	0.0169562i	−0.227039	+	0.973886i	$0.572905\pi$
$740$	4.95012	+	4.67440i	0.181970	+	0.171834i
$741$	−36.5335	−	36.5335i	−1.34209	−	1.34209i
$742$	37.3946	−	21.1641i	1.37280	−	0.776958i
$743$	16.7041			0.612815			0.306407	−	0.951900i	$-0.400873\pi$
$743$	16.7041			0.612815			0.306407	+	0.951900i	$0.400873\pi$
$744$	−36.3528	−	43.3829i	−1.33276	−	1.59049i
$745$	13.7426	+	23.8029i	0.503490	+	0.872070i
$746$	−21.3334	+	9.19664i	−0.781071	+	0.336713i
$747$	−3.51266	−	13.1094i	−0.128522	−	0.479649i
$748$	3.56486	+	5.78534i	0.130344	+	0.211533i
$749$	−9.27909	−	7.46379i	−0.339051	−	0.272721i
$750$	−4.24751	+	3.35695i	−0.155097	+	0.122578i
$751$	1.51512	+	0.874754i	0.0552874	+	0.0319202i	0.527389	−	0.849624i	$-0.323171\pi$
$751$	1.51512	+	0.874754i	0.0552874	+	0.0319202i	−0.472101	+	0.881544i	$0.656504\pi$
$752$	−0.652697	−	11.3825i	−0.0238014	−	0.415079i
$753$	−12.1678	−	21.0752i	−0.443419	−	0.768024i
$754$	−1.97711	−	13.5188i	−0.0720020	−	0.492325i
$755$	−23.4148	−	23.4148i	−0.852153	−	0.852153i
$756$	−8.32758	+	1.14501i	−0.302871	+	0.0416438i
$757$	−15.6771	+	15.6771i	−0.569792	+	0.569792i	−0.932070	−	0.362278i	$-0.881999\pi$
$757$	−15.6771	+	15.6771i	−0.569792	+	0.569792i	0.362278	+	0.932070i	$0.381999\pi$
$758$	7.23082	−	9.70812i	0.262635	−	0.352615i
$759$	−7.47683	+	4.31675i	−0.271392	+	0.156688i
$760$	−34.1677	−	23.9588i	−1.23939	−	0.869078i
$761$	−25.9814	+	45.0012i	−0.941826	+	1.63129i	−0.179842	+	0.983695i	$0.557559\pi$
$761$	−25.9814	+	45.0012i	−0.941826	+	1.63129i	−0.761984	+	0.647596i	$0.775775\pi$
$762$	1.90087	−	16.2314i	0.0688612	−	0.588000i
$763$	8.03255	−	3.11368i	0.290798	−	0.112723i
$764$	−29.5934	−	7.02780i	−1.07065	−	0.254257i
$765$	26.4178	−	7.07864i	0.955139	−	0.255929i
$766$	−25.3382	−	10.0728i	−0.915505	−	0.363945i
$767$	−14.8965	+	8.60050i	−0.537882	+	0.310546i
$768$	32.2401	+	25.5864i	1.16336	+	0.923271i
$769$		−	34.9699i		−	1.26105i	−0.776170	−	0.630524i	$-0.782840\pi$
$769$		−	34.9699i		−	1.26105i	0.776170	−	0.630524i	$-0.217160\pi$
$770$	12.3304	+	12.5438i	0.444355	+	0.452046i
$771$	−6.99090	+	6.99090i	−0.251771	+	0.251771i
$772$	32.6880	+	30.8673i	1.17647	+	1.11094i
$773$	−3.55817	+	13.2793i	−0.127978	+	0.477622i	−0.999928	−	0.0119731i	$-0.996189\pi$
$773$	−3.55817	+	13.2793i	−0.127978	+	0.477622i	0.871950	+	0.489595i	$0.162855\pi$
$774$	−47.3147	+	20.3970i	−1.70069	+	0.733154i
$775$	36.7841	+	21.2373i	1.32132	+	0.762866i
$776$	−15.0403	+	7.00106i	−0.539914	+	0.251323i
$777$	−4.22974	−	5.78176i	−0.151741	−	0.207419i
$778$	−4.70834	+	40.2041i	−0.168802	+	1.44139i
$779$	−12.2150	+	3.27301i	−0.437650	+	0.117268i
$780$	−64.4671	−	34.7978i	−2.30829	−	1.24596i
$781$	−2.81523	+	10.5066i	−0.100737	+	0.375956i
$782$	7.55291	−	1.10461i	0.270092	−	0.0395006i
$783$	−3.48586			−0.124574
$784$	7.55695	+	26.9609i	0.269891	+	0.962891i
$785$	−47.4847			−1.69480
$786$	−49.7930	+	7.28218i	−1.77606	+	0.259747i
$787$	6.42575	−	23.9812i	0.229053	−	0.854838i	−0.751687	−	0.659520i	$-0.770760\pi$
$787$	6.42575	−	23.9812i	0.229053	−	0.854838i	0.980740	−	0.195318i	$-0.0625738\pi$
$788$	11.1722	−	20.6979i	0.397994	−	0.737332i
$789$	−15.6932	+	4.20498i	−0.558692	+	0.149701i
$790$	0.434148	−	3.70716i	0.0154463	−	0.131895i
$791$	18.0267	+	24.6412i	0.640954	+	0.876139i
$792$	−13.9718	−	5.09599i	−0.496467	−	0.181078i
$793$	54.8856	+	31.6882i	1.94904	+	1.12528i
$794$	−12.0439	+	5.19204i	−0.427423	+	0.184259i
$795$	24.7284	−	92.2878i	0.877027	−	3.27311i
$796$	−14.0336	+	14.8614i	−0.497408	+	0.526748i
$797$	−13.3302	+	13.3302i	−0.472179	+	0.472179i	−0.902619	−	0.430440i	$-0.858358\pi$
$797$	−13.3302	+	13.3302i	−0.472179	+	0.472179i	0.430440	+	0.902619i	$0.358358\pi$
$798$	30.7809	+	31.3137i	1.08963	+	1.10849i
$799$		−	6.66293i		−	0.235717i
$800$	−29.3085	−	9.74831i	−1.03621	−	0.344655i
$801$	15.0970	−	8.71624i	0.533425	−	0.307973i
$802$	−46.0701	−	18.3145i	−1.62679	−	0.646707i
$803$	−15.8709	+	4.25258i	−0.560070	+	0.150070i
$804$	3.19499	−	13.4538i	0.112679	−	0.474479i
$805$	18.4222	−	7.14106i	0.649298	−	0.251689i
$806$	−5.63373	+	48.1059i	−0.198440	+	1.69446i
$807$	31.0148	−	53.7192i	1.09177	−	1.89101i
$808$	4.02158	−	0.706319i	0.141479	−	0.0248482i
$809$	18.7601	−	10.8311i	0.659569	−	0.380803i	−0.132544	−	0.991177i	$-0.542314\pi$
$809$	18.7601	−	10.8311i	0.659569	−	0.380803i	0.792113	+	0.610375i	$0.208981\pi$
$810$	18.4859	−	24.8192i	0.649528	−	0.872058i
$811$	−1.51326	+	1.51326i	−0.0531379	+	0.0531379i	−0.733176	−	0.680039i	$-0.761963\pi$
$811$	−1.51326	+	1.51326i	−0.0531379	+	0.0531379i	0.680039	+	0.733176i	$0.261963\pi$
$812$	1.58164	+	11.5031i	0.0555046	+	0.403680i
$813$	−17.2192	−	17.2192i	−0.603904	−	0.603904i
$814$	−0.313093	−	2.14082i	−0.0109739	−	0.0750356i
$815$	37.1741	+	64.3874i	1.30215	+	2.25539i
$816$	17.9543	+	16.0069i	0.628526	+	0.560353i
$817$	39.7883	+	22.9718i	1.39202	+	0.803681i
$818$	−38.6986	+	30.5848i	−1.35307	+	1.06937i
$819$	32.8344	+	26.4109i	1.14733	+	0.922871i
$820$	−15.2657	+	9.40655i	−0.533101	+	0.328491i
$821$	12.4214	+	46.3574i	0.433511	+	1.61788i	0.744605	+	0.667506i	$0.232638\pi$
$821$	12.4214	+	46.3574i	0.433511	+	1.61788i	−0.311094	+	0.950379i	$0.600695\pi$
$822$	−8.42592	+	3.63234i	−0.293888	+	0.126692i
$823$	−15.0408	−	26.0514i	−0.524290	−	0.908096i	−0.999600	−	0.0282782i	$-0.990998\pi$
$823$	−15.0408	−	26.0514i	−0.524290	−	0.908096i	0.475310	−	0.879818i	$-0.342336\pi$
$824$	0.602751	−	6.83642i	0.0209978	−	0.238158i
$825$	20.4158			0.710789
$826$	12.7222	−	7.20036i	0.442663	−	0.250533i
$827$	22.5866	+	22.5866i	0.785414	+	0.785414i	0.980739	−	0.195325i	$-0.0625760\pi$
$827$	22.5866	+	22.5866i	0.785414	+	0.785414i	−0.195325	+	0.980739i	$0.562576\pi$
$828$	−11.4696	+	12.1461i	−0.398596	+	0.422107i
$829$	31.9742	+	8.56747i	1.11051	+	0.297561i	0.767038	−	0.641602i	$-0.221730\pi$
$829$	31.9742	+	8.56747i	1.11051	+	0.297561i	0.343473	+	0.939162i	$0.388397\pi$
$830$	−6.33907	+	15.9460i	−0.220032	+	0.553492i
$831$	−15.0840	+	26.1263i	−0.523260	+	0.906313i
$832$	−3.02245	−	35.0914i	−0.104785	−	1.21657i
$833$	3.50706	+	15.9831i	0.121512	+	0.553780i
$834$	24.2342	−	19.1531i	0.839161	−	0.663216i
$835$	3.19846	+	11.9368i	0.110687	+	0.413091i
$836$	3.79771	+	12.7060i	0.131346	+	0.439446i
$837$	11.9365	+	3.19838i	0.412586	+	0.110552i
$838$	10.2483	−	13.7594i	0.354021	−	0.475310i
$839$			35.7894i			1.23559i	0.786340	+	0.617794i	$0.211973\pi$
$839$			35.7894i			1.23559i	−0.786340	+	0.617794i	$0.788027\pi$
$840$	54.5325	+	30.0423i	1.88155	+	1.03656i
$841$		−	24.1849i		−	0.833962i
$842$	11.8884	+	8.85474i	0.409702	+	0.305155i
$843$	−13.9029	−	3.72527i	−0.478841	−	0.128305i
$844$	−7.70850	+	14.2809i	−0.265337	+	0.491570i
$845$	5.34340	+	19.9418i	0.183818	+	0.686020i
$846$	9.04176	+	11.4404i	0.310862	+	0.393331i
$847$	2.53455	+	23.3766i	0.0870880	+	0.803231i
$848$	43.6164	−	14.4094i	1.49779	−	0.494822i
$849$	−4.93437	+	8.54658i	−0.169347	+	0.293318i
$850$	−16.7737	−	6.66815i	−0.575335	−	0.228715i
$851$	−2.34752	−	0.629017i	−0.0804721	−	0.0215624i
$852$	1.10252	+	38.4859i	0.0377718	+	1.31851i
$853$	1.27195	+	1.27195i	0.0435507	+	0.0435507i	0.728547	−	0.684996i	$-0.240196\pi$
$853$	1.27195	+	1.27195i	0.0435507	+	0.0435507i	−0.684996	+	0.728547i	$0.740196\pi$
$854$	−46.4125	−	27.3298i	−1.58820	−	0.935208i
$855$	53.3733			1.82533
$856$	−8.17650	−	9.75772i	−0.279467	−	0.333512i
$857$	−17.1377	−	29.6834i	−0.585412	−	1.01396i	−0.994824	−	0.101614i	$-0.967599\pi$
$857$	−17.1377	−	29.6834i	−0.585412	−	1.01396i	0.409411	−	0.912350i	$-0.365734\pi$
$858$	9.21618	+	21.3787i	0.314635	+	0.729857i
$859$	−11.5677	−	43.1714i	−0.394686	−	1.47299i	−0.822314	−	0.569034i	$-0.807317\pi$
$859$	−11.5677	−	43.1714i	−0.394686	−	1.47299i	0.427628	−	0.903955i	$-0.359349\pi$
$860$	63.3821	+	15.0519i	2.16131	+	0.513266i
$861$	17.5917	−	6.81912i	0.599523	−	0.232395i
$862$	1.41390	+	1.78899i	0.0481576	+	0.0609333i
$863$	−32.5858	−	18.8134i	−1.10923	−	0.640416i	−0.170602	−	0.985340i	$-0.554571\pi$
$863$	−32.5858	−	18.8134i	−1.10923	−	0.640416i	−0.938631	+	0.344924i	$0.887905\pi$
$864$	−8.97052	−	0.532583i	−0.305183	−	0.0181188i
$865$	−13.4434	−	23.2846i	−0.457088	−	0.791700i
$866$	18.3129	−	2.67824i	0.622297	−	0.0910103i
$867$	−20.9832	−	20.9832i	−0.712627	−	0.712627i
$868$	5.13848	−	40.8409i	0.174411	−	1.38623i
$869$	−0.838719	+	0.838719i	−0.0284516	+	0.0284516i
$870$	20.7063	+	15.4225i	0.702010	+	0.522872i
$871$	−10.2477	+	5.91651i	−0.347230	+	0.200473i
$872$	9.07090	−	1.59314i	0.307179	−	0.0539506i
$873$	10.6092	−	18.3756i	0.359065	−	0.621920i
$874$	14.7952	+	1.73269i	0.500457	+	0.0586090i
$875$	−3.89081	−	0.603167i	−0.131533	−	0.0203908i
$876$	−49.5139	+	30.5100i	−1.67292	+	1.03084i
$877$	−20.5119	+	5.49616i	−0.692639	+	0.185592i	−0.587931	−	0.808911i	$-0.700057\pi$
$877$	−20.5119	+	5.49616i	−0.692639	+	0.185592i	−0.104708	+	0.994503i	$0.533391\pi$
$878$	1.03372	−	2.60032i	0.0348863	−	0.0877567i
$879$	−30.7099	+	17.7304i	−1.03582	+	0.598031i
$880$	10.3187	+	15.7196i	0.347844	+	0.529908i
$881$		−	3.13017i		−	0.105458i	−0.998609	−	0.0527291i	$-0.983208\pi$
$881$		−	3.13017i		−	0.105458i	0.998609	−	0.0527291i	$-0.0167920\pi$
$882$	−27.7111	−	22.6842i	−0.933082	−	0.763817i
$883$	5.90657	−	5.90657i	0.198772	−	0.198772i	−0.600702	−	0.799473i	$-0.705112\pi$
$883$	5.90657	−	5.90657i	0.198772	−	0.198772i	0.799473	+	0.600702i	$0.205112\pi$
$884$	−0.589421	−	20.5750i	−0.0198244	−	0.692012i
$885$	8.41301	−	31.3978i	0.282800	−	1.05543i
$886$	19.4256	+	45.0614i	0.652616	+	1.51387i
$887$	41.9702	+	24.2315i	1.40922	+	0.813615i	0.995313	−	0.0967040i	$-0.0308300\pi$
$887$	41.9702	+	24.2315i	1.40922	+	0.813615i	0.413908	+	0.910318i	$0.364163\pi$
$888$	−3.23189	−	6.94303i	−0.108455	−	0.232993i
$889$	9.59219	−	7.01733i	0.321712	−	0.235354i
$890$	−21.8913	−	2.56371i	−0.733799	−	0.0859359i
$891$	−9.49940	+	2.54536i	−0.318242	+	0.0852727i
$892$	−33.5205	+	10.0190i	−1.12235	+	0.335460i
$893$	3.36536	−	12.5597i	0.112617	−	0.420294i
$894$	−4.47395	−	30.5913i	−0.149631	−	1.02313i
$895$	−62.4941			−2.08895
$896$	2.31271	+	29.8438i	0.0772621	+	0.997011i
$897$	26.1508			0.873151
$898$	−4.10243	−	28.0510i	−0.136900	−	0.936073i
$899$	4.41800	−	16.4882i	0.147348	−	0.549912i
$900$	37.8499	−	11.3130i	1.26166	−	0.377099i
$901$	25.9299	−	6.94789i	0.863849	−	0.231468i
$902$	5.65955	+	0.662796i	0.188443	+	0.0220687i
$903$	−62.7105	−	27.6744i	−2.08688	−	0.920946i
$904$	13.7740	+	29.5904i	0.458115	+	0.984161i
$905$	24.0513	+	13.8860i	0.799491	+	0.461587i
$906$	14.7454	+	34.2049i	0.489884	+	1.13638i
$907$	−9.69974	+	36.1999i	−0.322075	+	1.20200i	0.595146	+	0.803618i	$0.297094\pi$
$907$	−9.69974	+	36.1999i	−0.322075	+	1.20200i	−0.917220	+	0.398381i	$0.869572\pi$
$908$	−1.00376	−	35.0382i	−0.0333108	−	1.16278i
$909$	−3.69271	+	3.69271i	−0.122480	+	0.122480i
$910$	−13.3473	−	51.5790i	−0.442459	−	1.70983i
$911$		−	12.0871i		−	0.400463i	−0.979749	−	0.200231i	$-0.935831\pi$
$911$		−	12.0871i		−	0.400463i	0.979749	−	0.200231i	$-0.0641694\pi$
$912$	25.7592	+	39.2417i	0.852971	+	1.29942i
$913$	4.72253	−	2.72656i	0.156293	−	0.0902358i
$914$	−15.6761	+	39.4332i	−0.518518	+	1.30433i
$915$	−115.684	+	30.9974i	−3.82439	+	1.02474i
$916$	−11.9027	+	7.33431i	−0.393276	+	0.242332i
$917$	−28.5169	−	22.9381i	−0.941712	−	0.757481i
$918$	−5.21599	−	0.610849i	−0.172153	−	0.0201610i
$919$	27.6308	−	47.8579i	0.911455	−	1.57869i	0.0994447	−	0.995043i	$-0.468293\pi$
$919$	27.6308	−	47.8579i	0.911455	−	1.57869i	0.812010	−	0.583643i	$-0.198373\pi$
$920$	20.8036	−	3.65379i	0.685875	−	0.120462i
$921$	64.8188	−	37.4231i	2.13585	−	1.23313i
$922$	−29.2459	−	21.7830i	−0.963164	−	0.717385i
$923$	23.2971	−	23.2971i	0.766833	−	0.766833i
$924$	−7.67632	−	18.2355i	−0.252533	−	0.599904i
$925$	4.06379	+	4.06379i	0.133617	+	0.133617i
$926$	43.9115	−	6.42201i	1.44302	−	0.211040i
$927$	4.38882	+	7.60165i	0.144148	+	0.249671i
$928$	−0.735670	+	12.3912i	−0.0241495	+	0.406761i
$929$	8.64695	+	4.99232i	0.283697	+	0.163793i	0.635096	−	0.772433i	$-0.280961\pi$
$929$	8.64695	+	4.99232i	0.283697	+	0.163793i	−0.351399	+	0.936226i	$0.614294\pi$
$930$	−56.7533	−	71.8094i	−1.86101	−	2.35472i
$931$	−1.46199	+	31.8996i	−0.0479147	+	1.04547i
$932$	−56.3824	−	13.3896i	−1.84687	−	0.438592i
$933$	0.380765	+	1.42103i	0.0124657	+	0.0465226i
$934$	13.3488	+	30.9650i	0.436785	+	1.01321i
$935$	5.49450	+	9.51675i	0.179689	+	0.311231i
$936$	28.9328	+	34.5280i	0.945699	+	1.12858i
$937$	−7.92416			−0.258871			−0.129436	−	0.991588i	$-0.541317\pi$
$937$	−7.92416			−0.258871			−0.129436	+	0.991588i	$0.541317\pi$
$938$	8.75196	−	4.95332i	0.285762	−	0.161732i
$939$	2.57311	+	2.57311i	0.0839703	+	0.0839703i
$940$	−0.527957	−	18.4295i	−0.0172201	−	0.601103i
$941$	6.10702	+	1.63637i	0.199083	+	0.0533441i	0.356983	−	0.934111i	$-0.383806\pi$
$941$	6.10702	+	1.63637i	0.199083	+	0.0533441i	−0.157900	+	0.987455i	$0.550472\pi$
$942$	49.6350	+	19.7316i	1.61720	+	0.642891i
$943$	3.20038	−	5.54321i	0.104219	−	0.180512i
$944$	14.8390	−	4.90232i	0.482969	−	0.159557i
$945$	−13.5141	+	1.46523i	−0.439613	+	0.0476638i
$946$	−12.8365	−	16.2419i	−0.417351	−	0.528070i
$947$	−2.94453	−	10.9891i	−0.0956843	−	0.357098i	0.901438	−	0.432908i	$-0.142513\pi$
$947$	−2.94453	−	10.9891i	−0.0956843	−	0.357098i	−0.997122	+	0.0758096i	$0.975846\pi$
$948$	−1.99426	+	3.69462i	−0.0647707	+	0.119996i
$949$	48.0727	+	12.8811i	1.56051	+	0.418137i
$950$	−28.2507	−	21.0417i	−0.916574	−	0.682684i
$951$		−	67.3561i		−	2.18417i
$952$	0.350888	+	17.4896i	0.0113723	+	0.566841i
$953$		−	12.7329i		−	0.412460i	−0.978504	−	0.206230i	$-0.933880\pi$
$953$		−	12.7329i		−	0.412460i	0.978504	−	0.206230i	$-0.0661195\pi$
$954$	−35.0939	+	47.1172i	−1.13621	+	1.52548i
$955$	−47.5105	−	12.7304i	−1.53741	−	0.411946i
$956$	7.65116	+	25.5985i	0.247456	+	0.827915i
$957$	−2.12356	−	7.92522i	−0.0686448	−	0.256186i
$958$	−39.2294	+	31.0042i	−1.26744	+	1.00170i
$959$	−6.10489	−	2.69411i	−0.197137	−	0.0869974i
$960$	50.9294	+	42.8519i	1.64374	+	1.38304i
$961$	−14.7568	+	25.5595i	−0.476025	+	0.824500i
$962$	−2.42096	+	6.08994i	−0.0780550	+	0.196348i
$963$	15.7275	+	4.21417i	0.506812	+	0.135800i
$964$	−16.7293	+	17.7161i	−0.538815	+	0.570596i
$965$	51.4090	+	51.4090i	1.65491	+	1.65491i
$966$	−22.2238	−	0.190676i	−0.715039	−	0.00613492i
$967$	−10.6644			−0.342944			−0.171472	−	0.985189i	$-0.554852\pi$
$967$	−10.6644			−0.342944			−0.171472	+	0.985189i	$0.554852\pi$
$968$	−2.20772	+	25.0400i	−0.0709588	+	0.804816i
$969$	13.7162	+	23.7571i	0.440628	+	0.763190i
$970$	−24.6359	+	10.6203i	−0.791012	+	0.340999i
$971$	0.596517	+	2.22623i	0.0191431	+	0.0714431i	0.974837	−	0.222920i	$-0.0715590\pi$
$971$	0.596517	+	2.22623i	0.0191431	+	0.0714431i	−0.955694	+	0.294364i	$0.904892\pi$
$972$	−37.7509	+	23.2617i	−1.21086	+	0.746119i
$973$	22.1990	+	3.44137i	0.711669	+	0.110325i
$974$	11.7866	−	9.31532i	0.377666	−	0.298482i
$975$	−53.5546	−	30.9198i	−1.71512	−	0.990225i
$976$	−42.9794	−	38.3176i	−1.37574	−	1.22652i
$977$	7.66274	+	13.2723i	0.245153	+	0.424617i	0.962175	−	0.272434i	$-0.0878286\pi$
$977$	7.66274	+	13.2723i	0.245153	+	0.424617i	−0.717022	+	0.697051i	$0.754495\pi$
$978$	−12.1021	−	82.7502i	−0.386983	−	2.64606i
$979$	4.95277	+	4.95277i	0.158291	+	0.158291i
$980$	10.9669	+	43.9308i	0.350325	+	1.40332i
$981$	−8.32913	+	8.32913i	−0.265929	+	0.265929i
$982$	32.1474	−	43.1612i	1.02586	−	1.37733i
$983$	16.1184	−	9.30595i	0.514097	−	0.296814i	−0.220419	−	0.975405i	$-0.570743\pi$
$983$	16.1184	−	9.30595i	0.514097	−	0.296814i	0.734516	+	0.678591i	$0.237409\pi$
$984$	19.8657	−	3.48906i	0.633296	−	0.111227i
$985$	19.0177	−	32.9396i	0.605954	−	1.04954i
$986$	−0.843782	+	7.20498i	−0.0268715	+	0.229453i
$987$	−2.97187	+	19.1705i	−0.0945956	+	0.610202i
$988$	9.28110	−	39.0818i	0.295271	−	1.24336i
$989$	−22.4620	+	6.01867i	−0.714249	+	0.191383i
$990$	−22.3487	−	8.88437i	−0.710287	−	0.282364i
$991$	23.7555	−	13.7153i	0.754619	−	0.435680i	−0.0727413	−	0.997351i	$-0.523175\pi$
$991$	23.7555	−	13.7153i	0.754619	−	0.435680i	0.827361	+	0.561671i	$0.189841\pi$
$992$	13.8884	−	41.7558i	0.440958	−	1.32575i
$993$			7.22736i			0.229353i
$994$	−19.9685	+	19.6287i	−0.633362	+	0.622586i
$995$	−23.3727	+	23.3727i	−0.740965	+	0.740965i
$996$	13.2522	−	14.0339i	0.419913	−	0.444682i
$997$	5.02660	−	18.7595i	0.159194	−	0.594120i	−0.839516	−	0.543335i	$-0.817161\pi$
$997$	5.02660	−	18.7595i	0.159194	−	0.594120i	0.998710	−	0.0507843i	$-0.0161721\pi$
$998$	16.4622	−	7.09670i	0.521101	−	0.224642i
$999$	1.44804	+	0.836028i	0.0458140	+	0.0264507i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	112.2.v.a.19.7	yes	56
4.3	odd	2		448.2.z.a.47.12		56
7.2	even	3		784.2.j.a.195.5		56
7.3	odd	6	inner	112.2.v.a.3.13	✓	56
7.4	even	3		784.2.w.f.227.13		56
7.5	odd	6		784.2.j.a.195.6		56
7.6	odd	2		784.2.w.f.19.7		56
8.3	odd	2		896.2.z.a.607.3		56
8.5	even	2		896.2.z.b.607.12		56
16.3	odd	4		896.2.z.b.159.12		56
16.5	even	4		448.2.z.a.271.12		56
16.11	odd	4	inner	112.2.v.a.75.13	yes	56
16.13	even	4		896.2.z.a.159.3		56
28.3	even	6		448.2.z.a.367.12		56
56.3	even	6		896.2.z.a.479.3		56
56.45	odd	6		896.2.z.b.479.12		56
112.3	even	12		896.2.z.b.31.12		56
112.11	odd	12		784.2.w.f.619.7		56
112.27	even	4		784.2.w.f.411.13		56
112.45	odd	12		896.2.z.a.31.3		56
112.59	even	12	inner	112.2.v.a.59.7	yes	56
112.75	even	12		784.2.j.a.587.5		56
112.101	odd	12		448.2.z.a.143.12		56
112.107	odd	12		784.2.j.a.587.6		56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
112.2.v.a.3.13	✓	56	7.3	odd	6	inner
112.2.v.a.19.7	yes	56	1.1	even	1	trivial
112.2.v.a.59.7	yes	56	112.59	even	12	inner
112.2.v.a.75.13	yes	56	16.11	odd	4	inner
448.2.z.a.47.12		56	4.3	odd	2
448.2.z.a.143.12		56	112.101	odd	12
448.2.z.a.271.12		56	16.5	even	4
448.2.z.a.367.12		56	28.3	even	6
784.2.j.a.195.5		56	7.2	even	3
784.2.j.a.195.6		56	7.5	odd	6
784.2.j.a.587.5		56	112.75	even	12
784.2.j.a.587.6		56	112.107	odd	12
784.2.w.f.19.7		56	7.6	odd	2
784.2.w.f.227.13		56	7.4	even	3
784.2.w.f.411.13		56	112.27	even	4
784.2.w.f.619.7		56	112.11	odd	12
896.2.z.a.31.3		56	112.45	odd	12
896.2.z.a.159.3		56	16.13	even	4
896.2.z.a.479.3		56	56.3	even	6
896.2.z.a.607.3		56	8.3	odd	2
896.2.z.b.31.12		56	112.3	even	12
896.2.z.b.159.12		56	16.3	odd	4
896.2.z.b.479.12		56	56.45	odd	6
896.2.z.b.607.12		56	8.5	even	2

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 112 = 2^{4} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	112.v (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.204650 - 1.39933i) q^{2} +(-0.665801 + 2.48480i) q^{3} +(-1.91624 + 0.572746i) q^{4} +(-3.12401 + 0.837076i) q^{5} +(3.61331 + 0.423158i) q^{6} +(1.56215 + 2.13534i) q^{7} +(1.19362 + 2.56423i) q^{8} +(-3.13287 - 1.80877i) q^{9} +(1.81067 + 4.20021i) q^{10} +(0.376195 - 1.40398i) q^{11} +(-0.147328 - 5.14280i) q^{12} +(-3.11315 + 3.11315i) q^{13} +(2.66835 - 2.62295i) q^{14} -8.31987i q^{15} +(3.34392 - 2.19503i) q^{16} +(2.02443 - 1.16881i) q^{17} +(-1.88991 + 4.75408i) q^{18} +(4.40643 - 1.18070i) q^{19} +(5.50691 - 3.39330i) q^{20} +(-6.34599 + 2.45991i) q^{21} +(-2.04161 - 0.239095i) q^{22} +(-1.15450 + 1.99965i) q^{23} +(-7.16632 + 1.25864i) q^{24} +(4.72861 - 2.73006i) q^{25} +(4.99343 + 3.71921i) q^{26} +(1.12329 - 1.12329i) q^{27} +(-4.21645 - 3.19711i) q^{28} +(-1.55163 - 1.55163i) q^{29} +(-11.6422 + 1.70266i) q^{30} +(3.88952 + 6.73685i) q^{31} +(-3.75591 - 4.23003i) q^{32} +(3.23814 + 1.86954i) q^{33} +(-2.04984 - 2.59365i) q^{34} +(-6.66761 - 5.36320i) q^{35} +(7.03929 + 1.67168i) q^{36} +(0.272421 + 1.01669i) q^{37} +(-2.55396 - 5.92441i) q^{38} +(-5.66282 - 9.80830i) q^{39} +(-5.87533 - 7.01153i) q^{40} -2.77210 q^{41} +(4.74093 + 8.37669i) q^{42} +(7.12142 + 7.12142i) q^{43} +(0.0832442 + 2.90582i) q^{44} +(11.3012 + 3.02815i) q^{45} +(3.03443 + 1.20629i) q^{46} +(1.42516 - 2.46844i) q^{47} +(3.22783 + 9.77044i) q^{48} +(-2.11939 + 6.67144i) q^{49} +(-4.78797 - 6.05817i) q^{50} +(1.55638 + 5.80851i) q^{51} +(4.18249 - 7.74858i) q^{52} +(11.0925 + 2.97221i) q^{53} +(-1.80173 - 1.34197i) q^{54} +4.70094i q^{55} +(-3.61091 + 6.55449i) q^{56} +11.7352i q^{57} +(-1.85370 + 2.48878i) q^{58} +(3.77383 + 1.01120i) q^{59} +(4.76517 + 15.9428i) q^{60} +(-3.72571 - 13.9045i) q^{61} +(8.63107 - 6.82142i) q^{62} +(-1.03167 - 9.51532i) q^{63} +(-5.15056 + 6.12142i) q^{64} +(7.11957 - 12.3315i) q^{65} +(1.95341 - 4.91382i) q^{66} +(2.59612 + 0.695627i) q^{67} +(-3.20986 + 3.39920i) q^{68} +(-4.20006 - 4.20006i) q^{69} +(-6.14035 + 10.4277i) q^{70} -7.48345 q^{71} +(0.898639 - 10.1924i) q^{72} +(-5.65210 - 9.78973i) q^{73} +(1.36693 - 0.589271i) q^{74} +(3.63536 + 13.5673i) q^{75} +(-7.76752 + 4.78626i) q^{76} +(3.58565 - 1.38991i) q^{77} +(-12.5661 + 9.93142i) q^{78} +(-0.706717 - 0.408024i) q^{79} +(-8.60904 + 9.65642i) q^{80} +(-3.38303 - 5.85958i) q^{81} +(0.567311 + 3.87907i) q^{82} +(2.65285 + 2.65285i) q^{83} +(10.7515 - 8.34841i) q^{84} +(-5.34597 + 5.34597i) q^{85} +(8.50781 - 11.4226i) q^{86} +(4.88857 - 2.82241i) q^{87} +(4.04916 - 0.711163i) q^{88} +(-2.40944 + 4.17328i) q^{89} +(1.92458 - 16.4338i) q^{90} +(-11.5108 - 1.78445i) q^{91} +(1.06700 - 4.49303i) q^{92} +(-19.3294 + 5.17929i) q^{93} +(-3.74582 - 1.48909i) q^{94} +(-12.7774 + 7.37703i) q^{95} +(13.0115 - 6.51632i) q^{96} +5.86541i q^{97} +(9.76927 + 1.60041i) q^{98} +(-3.71804 + 3.71804i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 2 q^{2} - 6 q^{3} - 4 q^{4} - 6 q^{5} - 8 q^{7} + 4 q^{8} - 24 q^{10} + 2 q^{11} - 6 q^{12} + 16 q^{14} + 8 q^{16} - 12 q^{17} - 30 q^{18} - 6 q^{19} - 10 q^{21} - 28 q^{22} - 12 q^{23} - 6 q^{24}+ \cdots - 16 q^{99}+O(q^{100}) \) 56 * q - 2 * q^2 - 6 * q^3 - 4 * q^4 - 6 * q^5 - 8 * q^7 + 4 * q^8 - 24 * q^10 + 2 * q^11 - 6 * q^12 + 16 * q^14 + 8 * q^16 - 12 * q^17 - 30 * q^18 - 6 * q^19 - 10 * q^21 - 28 * q^22 - 12 * q^23 - 6 * q^24 - 6 * q^26 + 26 * q^28 - 24 * q^29 - 18 * q^30 - 12 * q^32 - 12 * q^33 - 2 * q^35 + 16 * q^36 + 6 * q^37 - 6 * q^38 - 4 * q^39 - 66 * q^40 + 70 * q^42 + 26 * q^44 + 12 * q^45 + 16 * q^46 - 8 * q^49 - 34 * q^51 + 84 * q^52 + 6 * q^53 + 42 * q^54 + 16 * q^56 + 18 * q^58 + 42 * q^59 + 78 * q^60 - 6 * q^61 - 16 * q^64 - 4 * q^65 + 126 * q^66 + 6 * q^67 + 24 * q^68 - 80 * q^70 - 80 * q^71 - 4 * q^72 + 62 * q^74 + 24 * q^75 + 10 * q^77 + 4 * q^78 + 12 * q^80 - 8 * q^81 + 42 * q^82 - 152 * q^84 - 28 * q^85 - 12 * q^87 + 30 * q^88 + 16 * q^91 - 20 * q^92 + 10 * q^93 - 42 * q^94 + 36 * q^96 - 108 * q^98 - 16 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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