LMFDB - Embedded newform 350.2.h.c.281.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(71,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([6, 0]))

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

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

chi := DirichletCharacter("350.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.h (of order $5$, 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:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} + 25x^{14} + 241x^{12} + 1145x^{10} + 2841x^{8} + 3600x^{6} + 2156x^{4} + 480x^{2} + 16 $ x^16 + 25x^14 + 241x^12 + 1145x^10 + 2841x^8 + 3600x^6 + 2156x^4 + 480*x^2 + 16
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 5 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			281.4
Root			$0.628834i$ of defining polynomial
Character	$\chi$	$=$	350.281
Dual form			350.2.h.c.71.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(2.25172 - 1.63597i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(2.09587 + 0.779319i) q^{5} +(2.25172 + 1.63597i) q^{6} -1.00000 q^{7} +(-0.809017 - 0.587785i) q^{8} +(1.46680 - 4.51433i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(2.25172 - 1.63597i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(2.09587 + 0.779319i) q^{5} +(2.25172 + 1.63597i) q^{6} -1.00000 q^{7} +(-0.809017 - 0.587785i) q^{8} +(1.46680 - 4.51433i) q^{9} +(-0.0935175 + 2.23411i) q^{10} +(0.858347 + 2.64172i) q^{11} +(-0.860081 + 2.64706i) q^{12} +(-0.267993 + 0.824796i) q^{13} +(-0.309017 - 0.951057i) q^{14} +(5.99425 - 1.67397i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-4.52611 - 3.28841i) q^{17} +4.74665 q^{18} +(-1.04495 - 0.759200i) q^{19} +(-2.15366 + 0.601438i) q^{20} +(-2.25172 + 1.63597i) q^{21} +(-2.24718 + 1.63267i) q^{22} +(-0.344265 - 1.05954i) q^{23} -2.78328 q^{24} +(3.78532 + 3.26670i) q^{25} -0.867242 q^{26} +(-1.50226 - 4.62349i) q^{27} +(0.809017 - 0.587785i) q^{28} +(2.38006 - 1.72921i) q^{29} +(3.44437 + 5.18359i) q^{30} +(-5.79587 - 4.21095i) q^{31} +1.00000 q^{32} +(6.25454 + 4.54419i) q^{33} +(1.72882 - 5.32076i) q^{34} +(-2.09587 - 0.779319i) q^{35} +(1.46680 + 4.51433i) q^{36} +(-3.08067 + 9.48132i) q^{37} +(0.399135 - 1.22841i) q^{38} +(0.745898 + 2.29564i) q^{39} +(-1.23752 - 1.86240i) q^{40} +(3.15956 - 9.72411i) q^{41} +(-2.25172 - 1.63597i) q^{42} +1.05464 q^{43} +(-2.24718 - 1.63267i) q^{44} +(6.59232 - 8.31834i) q^{45} +(0.901297 - 0.654830i) q^{46} +(-5.08899 + 3.69737i) q^{47} +(-0.860081 - 2.64706i) q^{48} +1.00000 q^{49} +(-1.93709 + 4.60952i) q^{50} -15.5713 q^{51} +(-0.267993 - 0.824796i) q^{52} +(-0.415801 + 0.302097i) q^{53} +(3.93297 - 2.85747i) q^{54} +(-0.259761 + 6.20562i) q^{55} +(0.809017 + 0.587785i) q^{56} -3.59496 q^{57} +(2.38006 + 1.72921i) q^{58} +(-4.37806 + 13.4743i) q^{59} +(-3.86552 + 4.87760i) q^{60} +(4.32731 + 13.3181i) q^{61} +(2.21383 - 6.81345i) q^{62} +(-1.46680 + 4.51433i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-1.20446 + 1.51981i) q^{65} +(-2.38902 + 7.35265i) q^{66} +(-6.43879 - 4.67805i) q^{67} +5.59458 q^{68} +(-2.50856 - 1.82258i) q^{69} +(0.0935175 - 2.23411i) q^{70} +(-2.95206 + 2.14480i) q^{71} +(-3.84012 + 2.79001i) q^{72} +(-4.67338 - 14.3832i) q^{73} -9.96925 q^{74} +(13.8677 + 1.16301i) q^{75} +1.29163 q^{76} +(-0.858347 - 2.64172i) q^{77} +(-1.95279 + 1.41878i) q^{78} +(7.68866 - 5.58614i) q^{79} +(1.38884 - 1.75247i) q^{80} +(0.573801 + 0.416891i) q^{81} +10.2245 q^{82} +(-12.0073 - 8.72383i) q^{83} +(0.860081 - 2.64706i) q^{84} +(-6.92341 - 10.4194i) q^{85} +(0.325903 + 1.00303i) q^{86} +(2.53028 - 7.78741i) q^{87} +(0.858347 - 2.64172i) q^{88} +(0.512772 + 1.57815i) q^{89} +(9.94835 + 3.69915i) q^{90} +(0.267993 - 0.824796i) q^{91} +(0.901297 + 0.654830i) q^{92} -19.9397 q^{93} +(-5.08899 - 3.69737i) q^{94} +(-1.59842 - 2.40553i) q^{95} +(2.25172 - 1.63597i) q^{96} +(14.3748 - 10.4439i) q^{97} +(0.309017 + 0.951057i) q^{98} +13.1846 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 4 q^{2} + q^{3} - 4 q^{4} - 4 q^{5} + q^{6} - 16 q^{7} - 4 q^{8} - q^{9}+O(q^{10}) $ 16 * q - 4 * q^2 + q^3 - 4 * q^4 - 4 * q^5 + q^6 - 16 * q^7 - 4 * q^8 - q^9	\( 16 q - 4 q^{2} + q^{3} - 4 q^{4} - 4 q^{5} + q^{6} - 16 q^{7} - 4 q^{8} - q^{9} + q^{10} + 7 q^{11} - 4 q^{12} + 9 q^{13} + 4 q^{14} - 4 q^{16} - 2 q^{17} + 14 q^{18} - 24 q^{19} - 9 q^{20} - q^{21} - 8 q^{22} - 5 q^{23} + 6 q^{24} - 6 q^{25} - 6 q^{26} - 32 q^{27} + 4 q^{28} + 20 q^{29} + 15 q^{30} + 7 q^{31} + 16 q^{32} + 15 q^{33} + 3 q^{34} + 4 q^{35} - q^{36} - 6 q^{37} + 6 q^{38} + 34 q^{39} + 11 q^{40} + 9 q^{41} - q^{42} - 22 q^{43} - 8 q^{44} - 8 q^{45} - 40 q^{47} - 4 q^{48} + 16 q^{49} - q^{50} + 14 q^{51} + 9 q^{52} - 24 q^{53} + 23 q^{54} - 26 q^{55} + 4 q^{56} + 52 q^{57} + 20 q^{58} - 17 q^{59} - 5 q^{60} + 2 q^{61} - 23 q^{62} + q^{63} - 4 q^{64} - 16 q^{65} - 10 q^{66} - 14 q^{67} - 2 q^{68} - 35 q^{69} - q^{70} + 7 q^{71} - 6 q^{72} + 5 q^{73} - 36 q^{74} + 35 q^{75} + 36 q^{76} - 7 q^{77} - 46 q^{78} + 20 q^{79} + q^{80} + 49 q^{81} + 44 q^{82} + 17 q^{83} + 4 q^{84} - 13 q^{85} + 8 q^{86} - 66 q^{87} + 7 q^{88} + 27 q^{89} + 37 q^{90} - 9 q^{91} - 34 q^{93} - 40 q^{94} - 20 q^{95} + q^{96} + 6 q^{97} - 4 q^{98} - 16 q^{99}+O(q^{100}) \) 16 * q - 4 * q^2 + q^3 - 4 * q^4 - 4 * q^5 + q^6 - 16 * q^7 - 4 * q^8 - q^9 + q^10 + 7 * q^11 - 4 * q^12 + 9 * q^13 + 4 * q^14 - 4 * q^16 - 2 * q^17 + 14 * q^18 - 24 * q^19 - 9 * q^20 - q^21 - 8 * q^22 - 5 * q^23 + 6 * q^24 - 6 * q^25 - 6 * q^26 - 32 * q^27 + 4 * q^28 + 20 * q^29 + 15 * q^30 + 7 * q^31 + 16 * q^32 + 15 * q^33 + 3 * q^34 + 4 * q^35 - q^36 - 6 * q^37 + 6 * q^38 + 34 * q^39 + 11 * q^40 + 9 * q^41 - q^42 - 22 * q^43 - 8 * q^44 - 8 * q^45 - 40 * q^47 - 4 * q^48 + 16 * q^49 - q^50 + 14 * q^51 + 9 * q^52 - 24 * q^53 + 23 * q^54 - 26 * q^55 + 4 * q^56 + 52 * q^57 + 20 * q^58 - 17 * q^59 - 5 * q^60 + 2 * q^61 - 23 * q^62 + q^63 - 4 * q^64 - 16 * q^65 - 10 * q^66 - 14 * q^67 - 2 * q^68 - 35 * q^69 - q^70 + 7 * q^71 - 6 * q^72 + 5 * q^73 - 36 * q^74 + 35 * q^75 + 36 * q^76 - 7 * q^77 - 46 * q^78 + 20 * q^79 + q^80 + 49 * q^81 + 44 * q^82 + 17 * q^83 + 4 * q^84 - 13 * q^85 + 8 * q^86 - 66 * q^87 + 7 * q^88 + 27 * q^89 + 37 * q^90 - 9 * q^91 - 34 * q^93 - 40 * q^94 - 20 * q^95 + q^96 + 6 * q^97 - 4 * q^98 - 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{2}{5}\right)$

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 $

$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$3$	2.25172	−	1.63597i	1.30003	−	0.944528i	0.300076	−	0.953915i	$-0.402988\pi$
$3$	2.25172	−	1.63597i	1.30003	−	0.944528i	0.999956	+	0.00938683i	$0.00298796\pi$
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	2.09587	+	0.779319i	0.937301	+	0.348522i
$5$	2.09587	+	0.779319i	0.937301	+	0.348522i
$6$	2.25172	+	1.63597i	0.919261	+	0.667882i
$7$	−1.00000			−0.377964
$7$	−1.00000			−0.377964
$8$	−0.809017	−	0.587785i	−0.286031	−	0.207813i
$9$	1.46680	−	4.51433i	0.488932	−	1.50478i
$10$	−0.0935175	+	2.23411i	−0.0295728	+	0.706488i
$11$	0.858347	+	2.64172i	0.258801	+	0.796509i	0.993057	+	0.117636i	$0.0375315\pi$
$11$	0.858347	+	2.64172i	0.258801	+	0.796509i	−0.734255	+	0.678873i	$0.762469\pi$
$12$	−0.860081	+	2.64706i	−0.248284	+	0.764140i
$13$	−0.267993	+	0.824796i	−0.0743278	+	0.228757i	−0.981317	−	0.192395i	$-0.938374\pi$
$13$	−0.267993	+	0.824796i	−0.0743278	+	0.228757i	0.906990	+	0.421153i	$0.138374\pi$
$14$	−0.309017	−	0.951057i	−0.0825883	−	0.254181i
$15$	5.99425	−	1.67397i	1.54771	−	0.432217i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−4.52611	−	3.28841i	−1.09774	−	0.797557i	−0.117053	−	0.993126i	$-0.537345\pi$
$17$	−4.52611	−	3.28841i	−1.09774	−	0.797557i	−0.980690	+	0.195569i	$0.937345\pi$
$18$	4.74665			1.11880
$19$	−1.04495	−	0.759200i	−0.239728	−	0.174172i	0.461434	−	0.887174i	$-0.347335\pi$
$19$	−1.04495	−	0.759200i	−0.239728	−	0.174172i	−0.701162	+	0.713002i	$0.747335\pi$
$20$	−2.15366	+	0.601438i	−0.481574	+	0.134486i
$21$	−2.25172	+	1.63597i	−0.491366	+	0.356998i
$22$	−2.24718	+	1.63267i	−0.479101	+	0.348087i
$23$	−0.344265	−	1.05954i	−0.0717842	−	0.220929i	0.908727	−	0.417390i	$-0.137055\pi$
$23$	−0.344265	−	1.05954i	−0.0717842	−	0.220929i	−0.980512	+	0.196461i	$0.937055\pi$
$24$	−2.78328			−0.568135
$25$	3.78532	+	3.26670i	0.757065	+	0.653340i
$26$	−0.867242			−0.170080
$27$	−1.50226	−	4.62349i	−0.289110	−	0.889790i
$28$	0.809017	−	0.587785i	0.152890	−	0.111081i
$29$	2.38006	−	1.72921i	0.441966	−	0.321107i	−0.344450	−	0.938805i	$-0.611935\pi$
$29$	2.38006	−	1.72921i	0.441966	−	0.321107i	0.786416	+	0.617698i	$0.211935\pi$
$30$	3.44437	+	5.18359i	0.628853	+	0.946389i
$31$	−5.79587	−	4.21095i	−1.04097	−	0.756308i	−0.0704946	−	0.997512i	$-0.522458\pi$
$31$	−5.79587	−	4.21095i	−1.04097	−	0.756308i	−0.970474	+	0.241204i	$0.922458\pi$
$32$	1.00000			0.176777
$33$	6.25454	+	4.54419i	1.08878	+	0.791042i
$34$	1.72882	−	5.32076i	0.296490	−	0.912503i
$35$	−2.09587	−	0.779319i	−0.354266	−	0.131729i
$36$	1.46680	+	4.51433i	0.244466	+	0.752389i
$37$	−3.08067	+	9.48132i	−0.506459	+	1.55872i	0.291845	+	0.956466i	$0.405731\pi$
$37$	−3.08067	+	9.48132i	−0.506459	+	1.55872i	−0.798304	+	0.602254i	$0.794269\pi$
$38$	0.399135	−	1.22841i	0.0647482	−	0.199275i
$39$	0.745898	+	2.29564i	0.119439	+	0.367596i
$40$	−1.23752	−	1.86240i	−0.195669	−	0.294472i
$41$	3.15956	−	9.72411i	0.493440	−	1.51865i	−0.325934	−	0.945392i	$-0.605679\pi$
$41$	3.15956	−	9.72411i	0.493440	−	1.51865i	0.819374	−	0.573259i	$-0.194321\pi$
$42$	−2.25172	−	1.63597i	−0.347448	−	0.252436i
$43$	1.05464			0.160832			0.0804158	−	0.996761i	$-0.474375\pi$
$43$	1.05464			0.160832			0.0804158	+	0.996761i	$0.474375\pi$
$44$	−2.24718	−	1.63267i	−0.338775	−	0.246135i
$45$	6.59232	−	8.31834i	0.982724	−	1.24003i
$46$	0.901297	−	0.654830i	0.132889	−	0.0965495i
$47$	−5.08899	+	3.69737i	−0.742306	+	0.539317i	−0.893432	−	0.449198i	$-0.851710\pi$
$47$	−5.08899	+	3.69737i	−0.742306	+	0.539317i	0.151127	+	0.988514i	$0.451710\pi$
$48$	−0.860081	−	2.64706i	−0.124142	−	0.382070i
$49$	1.00000			0.142857
$50$	−1.93709	+	4.60952i	−0.273945	+	0.651885i
$51$	−15.5713			−2.18042
$52$	−0.267993	−	0.824796i	−0.0371639	−	0.114379i
$53$	−0.415801	+	0.302097i	−0.0571146	+	0.0414962i	−0.615976	−	0.787765i	$-0.711238\pi$
$53$	−0.415801	+	0.302097i	−0.0571146	+	0.0414962i	0.558862	+	0.829261i	$0.311238\pi$
$54$	3.93297	−	2.85747i	0.535210	−	0.388853i
$55$	−0.259761	+	6.20562i	−0.0350261	+	0.836766i
$56$	0.809017	+	0.587785i	0.108109	+	0.0785461i
$57$	−3.59496			−0.476164
$58$	2.38006	+	1.72921i	0.312517	+	0.227057i
$59$	−4.37806	+	13.4743i	−0.569974	+	1.75420i	0.0827130	+	0.996573i	$0.473642\pi$
$59$	−4.37806	+	13.4743i	−0.569974	+	1.75420i	−0.652687	+	0.757627i	$0.726358\pi$
$60$	−3.86552	+	4.87760i	−0.499036	+	0.629696i
$61$	4.32731	+	13.3181i	0.554055	+	1.70521i	0.698426	+	0.715682i	$0.253884\pi$
$61$	4.32731	+	13.3181i	0.554055	+	1.70521i	−0.144371	+	0.989524i	$0.546116\pi$
$62$	2.21383	−	6.81345i	0.281156	−	0.865310i
$63$	−1.46680	+	4.51433i	−0.184799	+	0.568753i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−1.20446	+	1.51981i	−0.149394	+	0.188509i
$66$	−2.38902	+	7.35265i	−0.294068	+	0.905049i
$67$	−6.43879	−	4.67805i	−0.786623	−	0.571515i	0.120336	−	0.992733i	$-0.461603\pi$
$67$	−6.43879	−	4.67805i	−0.786623	−	0.571515i	−0.906959	+	0.421218i	$0.861603\pi$
$68$	5.59458			0.678443
$69$	−2.50856	−	1.82258i	−0.301995	−	0.219412i
$70$	0.0935175	−	2.23411i	0.0111775	−	0.267027i
$71$	−2.95206	+	2.14480i	−0.350346	+	0.254541i	−0.749014	−	0.662554i	$-0.769472\pi$
$71$	−2.95206	+	2.14480i	−0.350346	+	0.254541i	0.398668	+	0.917095i	$0.369472\pi$
$72$	−3.84012	+	2.79001i	−0.452563	+	0.328806i
$73$	−4.67338	−	14.3832i	−0.546977	−	1.68342i	−0.716242	−	0.697852i	$-0.754139\pi$
$73$	−4.67338	−	14.3832i	−0.546977	−	1.68342i	0.169265	−	0.985571i	$-0.445861\pi$
$74$	−9.96925			−1.15890
$75$	13.8677	+	1.16301i	1.60131	+	0.134293i
$76$	1.29163			0.148160
$77$	−0.858347	−	2.64172i	−0.0978178	−	0.301052i
$78$	−1.95279	+	1.41878i	−0.221110	+	0.160646i
$79$	7.68866	−	5.58614i	0.865042	−	0.628490i	−0.0642100	−	0.997936i	$-0.520453\pi$
$79$	7.68866	−	5.58614i	0.865042	−	0.628490i	0.929252	+	0.369447i	$0.120453\pi$
$80$	1.38884	−	1.75247i	0.155276	−	0.195932i
$81$	0.573801	+	0.416891i	0.0637556	+	0.0463212i
$82$	10.2245			1.12911
$83$	−12.0073	−	8.72383i	−1.31797	−	0.957565i	−0.999955	−	0.00948082i	$-0.996982\pi$
$83$	−12.0073	−	8.72383i	−1.31797	−	0.957565i	−0.318020	−	0.948084i	$-0.603018\pi$
$84$	0.860081	−	2.64706i	0.0938425	−	0.288818i
$85$	−6.92341	−	10.4194i	−0.750949	−	1.13014i
$86$	0.325903	+	1.00303i	0.0351430	+	0.108159i
$87$	2.53028	−	7.78741i	0.271275	−	0.834899i
$88$	0.858347	−	2.64172i	0.0915001	−	0.281608i
$89$	0.512772	+	1.57815i	0.0543537	+	0.167284i	0.974548	−	0.224178i	$-0.0719696\pi$
$89$	0.512772	+	1.57815i	0.0543537	+	0.167284i	−0.920195	+	0.391461i	$0.871970\pi$
$90$	9.94835	+	3.69915i	1.04865	+	0.389925i
$91$	0.267993	−	0.824796i	0.0280932	−	0.0864621i
$92$	0.901297	+	0.654830i	0.0939667	+	0.0682708i
$93$	−19.9397			−2.06765
$94$	−5.08899	−	3.69737i	−0.524889	−	0.381354i
$95$	−1.59842	−	2.40553i	−0.163994	−	0.246802i
$96$	2.25172	−	1.63597i	0.229815	−	0.166971i
$97$	14.3748	−	10.4439i	1.45954	−	1.06042i	0.476058	−	0.879414i	$-0.342065\pi$
$97$	14.3748	−	10.4439i	1.45954	−	1.06042i	0.983482	−	0.181004i	$-0.0579348\pi$
$98$	0.309017	+	0.951057i	0.0312154	+	0.0960712i
$99$	13.1846			1.32511
$100$	−4.98251	−	0.417857i	−0.498251	−	0.0417857i
$101$	3.10927			0.309384			0.154692	−	0.987963i	$-0.450562\pi$
$101$	3.10927			0.309384			0.154692	+	0.987963i	$0.450562\pi$
$102$	−4.81179	−	14.8092i	−0.476438	−	1.46633i
$103$	7.44276	−	5.40748i	0.733356	−	0.532815i	−0.157267	−	0.987556i	$-0.550268\pi$
$103$	7.44276	−	5.40748i	0.733356	−	0.532815i	0.890623	+	0.454741i	$0.150268\pi$
$104$	0.701614	−	0.509752i	0.0687989	−	0.0499853i
$105$	−5.99425	+	1.67397i	−0.584979	+	0.163363i
$106$	−0.415801	−	0.302097i	−0.0403861	−	0.0293422i
$107$	−3.79539			−0.366915			−0.183457	−	0.983028i	$-0.558729\pi$
$107$	−3.79539			−0.366915			−0.183457	+	0.983028i	$0.558729\pi$
$108$	3.93297	+	2.85747i	0.378450	+	0.274960i
$109$	0.184739	−	0.568569i	0.0176948	−	0.0544590i	−0.941819	−	0.336120i	$-0.890885\pi$
$109$	0.184739	−	0.568569i	0.0176948	−	0.0544590i	0.959514	+	0.281661i	$0.0908853\pi$
$110$	−5.98217	+	1.67060i	−0.570378	+	0.159285i
$111$	8.57437	+	26.3892i	0.813843	+	2.50475i
$112$	−0.309017	+	0.951057i	−0.0291994	+	0.0898664i
$113$	−2.35958	+	7.26205i	−0.221971	+	0.683156i	0.776614	+	0.629977i	$0.216936\pi$
$113$	−2.35958	+	7.26205i	−0.221971	+	0.683156i	−0.998585	+	0.0531794i	$0.983064\pi$
$114$	−1.11090	−	3.41901i	−0.104046	−	0.320220i
$115$	0.104184	−	2.48894i	0.00971525	−	0.232095i
$116$	−0.909101	+	2.79793i	−0.0844080	+	0.259781i
$117$	3.33031	+	2.41962i	0.307888	+	0.223694i
$118$	−14.1677			−1.30424
$119$	4.52611	+	3.28841i	0.414908	+	0.301448i
$120$	−5.83339	−	2.16906i	−0.532513	−	0.198007i
$121$	2.65726	−	1.93061i	0.241569	−	0.175510i
$122$	−11.3290	+	8.23103i	−1.02568	+	0.745202i
$123$	−8.79393	−	27.0649i	−0.792922	−	2.44036i
$124$	7.16409			0.643354
$125$	5.38774	+	9.79654i	0.481894	+	0.876229i
$126$	−4.74665			−0.422865
$127$	1.08130	+	3.32790i	0.0959497	+	0.295303i	0.987500	−	0.157619i	$-0.0503817\pi$
$127$	1.08130	+	3.32790i	0.0959497	+	0.295303i	−0.891550	+	0.452922i	$0.850382\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	2.37476	−	1.72537i	0.209086	−	0.151910i
$130$	−1.81762	−	0.675858i	−0.159416	−	0.0592767i
$131$	−13.3219	−	9.67896i	−1.16394	−	0.845655i	−0.173672	−	0.984804i	$-0.555563\pi$
$131$	−13.3219	−	9.67896i	−1.16394	−	0.845655i	−0.990271	+	0.139149i	$0.955563\pi$
$132$	−7.73104			−0.672900
$133$	1.04495	+	0.759200i	0.0906086	+	0.0658310i
$134$	2.45940	−	7.56925i	0.212460	−	0.653884i
$135$	0.454628	−	10.8610i	0.0391281	−	0.934762i
$136$	1.72882	+	5.32076i	0.148245	+	0.456252i
$137$	−3.40030	+	10.4650i	−0.290507	+	0.894089i	0.694187	+	0.719795i	$0.255764\pi$
$137$	−3.40030	+	10.4650i	−0.290507	+	0.894089i	−0.984694	+	0.174294i	$0.944236\pi$
$138$	0.958185	−	2.94899i	0.0815662	−	0.251035i
$139$	4.86361	+	14.9687i	0.412526	+	1.26962i	0.914445	+	0.404710i	$0.132628\pi$
$139$	4.86361	+	14.9687i	0.412526	+	1.26962i	−0.501919	+	0.864915i	$0.667372\pi$
$140$	2.15366	−	0.601438i	0.182018	−	0.0508308i
$141$	−5.41020	+	16.6509i	−0.455621	+	1.40226i
$142$	−2.95206	−	2.14480i	−0.247732	−	0.179988i
$143$	−2.40891			−0.201443
$144$	−3.84012	−	2.79001i	−0.320010	−	0.232501i
$145$	6.33590	−	1.76938i	0.526168	−	0.146939i
$146$	12.2351	−	8.88929i	1.01258	−	0.735683i
$147$	2.25172	−	1.63597i	0.185719	−	0.134933i
$148$	−3.08067	−	9.48132i	−0.253229	−	0.779360i
$149$	11.9166			0.976244			0.488122	−	0.872775i	$-0.337682\pi$
$149$	11.9166			0.976244			0.488122	+	0.872775i	$0.337682\pi$
$150$	3.17927	+	13.5484i	0.259586	+	1.10622i
$151$	−5.29947			−0.431264			−0.215632	−	0.976475i	$-0.569181\pi$
$151$	−5.29947			−0.431264			−0.215632	+	0.976475i	$0.569181\pi$
$152$	0.399135	+	1.22841i	0.0323741	+	0.0996373i
$153$	−21.4839	+	15.6089i	−1.73687	+	1.26191i
$154$	2.24718	−	1.63267i	0.181083	−	0.131565i
$155$	−8.86571	−	13.3424i	−0.712111	−	1.07169i
$156$	−1.95279	−	1.41878i	−0.156348	−	0.113594i
$157$	15.7146			1.25416			0.627080	−	0.778955i	$-0.284250\pi$
$157$	15.7146			1.25416			0.627080	+	0.778955i	$0.284250\pi$
$158$	7.68866	+	5.58614i	0.611677	+	0.444409i
$159$	−0.442045	+	1.36048i	−0.0350565	+	0.107893i
$160$	2.09587	+	0.779319i	0.165693	+	0.0616106i
$161$	0.344265	+	1.05954i	0.0271319	+	0.0835033i
$162$	−0.219172	+	0.674543i	−0.0172198	+	0.0529971i
$163$	5.60456	−	17.2491i	0.438983	−	1.35105i	−0.449967	−	0.893045i	$-0.648564\pi$
$163$	5.60456	−	17.2491i	0.438983	−	1.35105i	0.888950	−	0.458005i	$-0.151436\pi$
$164$	3.15956	+	9.72411i	0.246720	+	0.759326i
$165$	9.56732	+	14.3983i	0.744815	+	1.12091i
$166$	4.58639	−	14.1155i	0.355973	−	1.09557i
$167$	2.57068	+	1.86771i	0.198925	+	0.144527i	0.682789	−	0.730616i	$-0.260767\pi$
$167$	2.57068	+	1.86771i	0.198925	+	0.144527i	−0.483864	+	0.875143i	$0.660767\pi$
$168$	2.78328			0.214735
$169$	9.90875	+	7.19913i	0.762212	+	0.553779i
$170$	7.76995	−	9.80431i	0.595928	−	0.751956i
$171$	−4.96001	+	3.60366i	−0.379301	+	0.275579i
$172$	−0.853225	+	0.619904i	−0.0650578	+	0.0472672i
$173$	0.692618	+	2.13166i	0.0526588	+	0.162067i	0.973927	−	0.226860i	$-0.0728459\pi$
$173$	0.692618	+	2.13166i	0.0526588	+	0.162067i	−0.921269	+	0.388927i	$0.872846\pi$
$174$	8.18817			0.620744
$175$	−3.78532	−	3.26670i	−0.286144	−	0.246939i
$176$	2.77767			0.209375
$177$	12.1854	+	37.5027i	0.915908	+	2.81887i
$178$	−1.34246	+	0.975351i	−0.100621	+	0.0731056i
$179$	−0.561839	+	0.408200i	−0.0419938	+	0.0305103i	−0.608584	−	0.793489i	$-0.708262\pi$
$179$	−0.561839	+	0.408200i	−0.0419938	+	0.0305103i	0.566590	+	0.824000i	$0.308262\pi$
$180$	−0.443895	+	10.6045i	−0.0330860	+	0.790416i
$181$	21.6089	+	15.6998i	1.60618	+	1.16696i	0.874108	+	0.485732i	$0.161447\pi$
$181$	21.6089	+	15.6998i	1.60618	+	1.16696i	0.732072	+	0.681227i	$0.238553\pi$
$182$	0.867242			0.0642843
$183$	31.5319	+	22.9093i	2.33090	+	1.69350i
$184$	−0.344265	+	1.05954i	−0.0253795	+	0.0781102i
$185$	−13.8456	+	17.4708i	−1.01795	+	1.28448i
$186$	−6.16170	−	18.9638i	−0.451798	−	1.39049i
$187$	4.80209	−	14.7793i	0.351164	−	1.08077i
$188$	1.94382	−	5.98247i	0.141768	−	0.436316i
$189$	1.50226	+	4.62349i	0.109273	+	0.336309i
$190$	1.79386	−	2.26353i	0.130140	−	0.164214i
$191$	−0.752902	+	2.31719i	−0.0544781	+	0.167666i	−0.974594	−	0.223981i	$-0.928095\pi$
$191$	−0.752902	+	2.31719i	−0.0544781	+	0.167666i	0.920115	+	0.391647i	$0.128095\pi$
$192$	2.25172	+	1.63597i	0.162504	+	0.118066i
$193$	−18.8444			−1.35645			−0.678224	−	0.734855i	$-0.737250\pi$
$193$	−18.8444			−1.35645			−0.678224	+	0.734855i	$0.737250\pi$
$194$	14.3748	+	10.4439i	1.03205	+	0.749829i
$195$	−0.225730	+	5.39265i	−0.0161649	+	0.386176i
$196$	−0.809017	+	0.587785i	−0.0577869	+	0.0419847i
$197$	−5.90165	+	4.28780i	−0.420475	+	0.305493i	−0.777829	−	0.628476i	$-0.783679\pi$
$197$	−5.90165	+	4.28780i	−0.420475	+	0.305493i	0.357354	+	0.933969i	$0.383679\pi$
$198$	4.07428	+	12.5393i	0.289546	+	0.891131i
$199$	24.1776			1.71390			0.856951	−	0.515398i	$-0.172356\pi$
$199$	24.1776			1.71390			0.856951	+	0.515398i	$0.172356\pi$
$200$	−1.14227	−	4.86777i	−0.0807710	−	0.344203i
$201$	−22.1515			−1.56245
$202$	0.960817	+	2.95709i	0.0676028	+	0.208060i
$203$	−2.38006	+	1.72921i	−0.167047	+	0.121367i
$204$	12.5974	−	9.15257i	0.881997	−	0.640808i
$205$	14.2002	−	17.9182i	0.991785	−	1.25146i
$206$	7.44276	+	5.40748i	0.518561	+	0.376757i
$207$	−5.28807			−0.367546
$208$	0.701614	+	0.509752i	0.0486481	+	0.0353449i
$209$	1.10867	−	3.41212i	0.0766880	−	0.236021i
$210$	−3.44437	−	5.18359i	−0.237684	−	0.357702i
$211$	2.65742	+	8.17871i	0.182945	+	0.563046i	0.999907	−	0.0136454i	$-0.00434361\pi$
$211$	2.65742	+	8.17871i	0.182945	+	0.563046i	−0.816962	+	0.576691i	$0.804344\pi$
$212$	0.158822	−	0.488803i	0.0109079	−	0.0335711i
$213$	−3.13839	+	9.65898i	−0.215039	+	0.661823i
$214$	−1.17284	−	3.60963i	−0.0801738	−	0.246750i
$215$	2.21039	+	0.821904i	0.150748	+	0.0560534i
$216$	−1.50226	+	4.62349i	−0.102216	+	0.314588i
$217$	5.79587	+	4.21095i	0.393449	+	0.285858i
$218$	0.597829			0.0404901
$219$	−34.0536	−	24.7414i	−2.30113	−	1.67187i
$220$	−3.43742	−	5.17314i	−0.231751	−	0.348773i
$221$	3.92523	−	2.85185i	0.264040	−	0.191836i
$222$	−22.4480	+	16.3094i	−1.50661	+	1.09462i
$223$	−4.34162	−	13.3621i	−0.290736	−	0.894794i	−0.984620	−	0.174707i	$-0.944102\pi$
$223$	−4.34162	−	13.3621i	−0.290736	−	0.894794i	0.693884	−	0.720087i	$-0.255898\pi$
$224$	−1.00000			−0.0668153
$225$	20.2993	−	12.2966i	1.35328	−	0.819776i
$226$	−7.63577			−0.507924
$227$	−2.07933	−	6.39953i	−0.138010	−	0.424752i	0.858036	−	0.513590i	$-0.171685\pi$
$227$	−2.07933	−	6.39953i	−0.138010	−	0.424752i	−0.996046	+	0.0888380i	$0.971685\pi$
$228$	2.90839	−	2.11307i	0.192613	−	0.139941i
$229$	−3.91670	+	2.84565i	−0.258823	+	0.188046i	−0.709628	−	0.704577i	$-0.751137\pi$
$229$	−3.91670	+	2.84565i	−0.258823	+	0.188046i	0.450805	+	0.892622i	$0.351137\pi$
$230$	2.39932	−	0.670040i	0.158207	−	0.0441812i
$231$	−6.25454	−	4.54419i	−0.411518	−	0.298986i
$232$	−2.94191			−0.193146
$233$	10.2958	+	7.48031i	0.674498	+	0.490051i	0.871528	−	0.490346i	$-0.163130\pi$
$233$	10.2958	+	7.48031i	0.674498	+	0.490051i	−0.197030	+	0.980397i	$0.563130\pi$
$234$	−1.27207	+	3.91502i	−0.0831576	+	0.255933i
$235$	−13.5473	+	3.78325i	−0.883727	+	0.246792i
$236$	−4.37806	−	13.4743i	−0.284987	−	0.877100i
$237$	8.17396	−	25.1569i	0.530956	−	1.63411i
$238$	−1.72882	+	5.32076i	−0.112063	+	0.344894i
$239$	2.21411	+	6.81432i	0.143219	+	0.440781i	0.996778	−	0.0802147i	$-0.0255606\pi$
$239$	2.21411	+	6.81432i	0.143219	+	0.440781i	−0.853559	+	0.520996i	$0.825561\pi$
$240$	0.260285	−	6.21816i	0.0168014	−	0.401380i
$241$	5.24470	−	16.1415i	0.337841	−	1.03977i	−0.627465	−	0.778645i	$-0.715907\pi$
$241$	5.24470	−	16.1415i	0.337841	−	1.03977i	0.965306	−	0.261122i	$-0.0840925\pi$
$242$	2.65726	+	1.93061i	0.170815	+	0.124104i
$243$	16.5583			1.06222
$244$	−11.3290	−	8.23103i	−0.725267	−	0.526938i
$245$	2.09587	+	0.779319i	0.133900	+	0.0497889i
$246$	23.0228	−	16.7271i	1.46788	−	1.06648i
$247$	0.906224	−	0.658410i	0.0576616	−	0.0418936i
$248$	2.21383	+	6.81345i	0.140578	+	0.432655i
$249$	−41.3091			−2.61786
$250$	−7.65216	+	8.15134i	−0.483965	+	0.515536i
$251$	4.48114			0.282847			0.141423	−	0.989949i	$-0.454832\pi$
$251$	4.48114			0.282847			0.141423	+	0.989949i	$0.454832\pi$
$252$	−1.46680	−	4.51433i	−0.0923995	−	0.284376i
$253$	2.50350	−	1.81890i	0.157394	−	0.114353i
$254$	−2.83088	+	2.05675i	−0.177625	+	0.129052i
$255$	−32.6354	−	12.1350i	−2.04371	−	0.759923i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	18.8156			1.17369			0.586844	−	0.809700i	$-0.300370\pi$
$257$	18.8156			1.17369			0.586844	+	0.809700i	$0.300370\pi$
$258$	2.37476	+	1.72537i	0.147846	+	0.107417i
$259$	3.08067	−	9.48132i	0.191423	−	0.589141i
$260$	0.0811023	−	1.93752i	0.00502975	−	0.120160i
$261$	−4.31519	−	13.2808i	−0.267103	−	0.822060i
$262$	5.08853	−	15.6609i	0.314370	−	0.967533i
$263$	4.51748	−	13.9034i	0.278560	−	0.857319i	−0.709696	−	0.704508i	$-0.751168\pi$
$263$	4.51748	−	13.9034i	0.278560	−	0.857319i	0.988255	−	0.152811i	$-0.0488325\pi$
$264$	−2.38902	−	7.35265i	−0.147034	−	0.452524i
$265$	−1.10689	+	0.309114i	−0.0679959	+	0.0189887i
$266$	−0.399135	+	1.22841i	−0.0244725	+	0.0753187i
$267$	3.73643	+	2.71467i	0.228666	+	0.166135i
$268$	7.95878			0.486160
$269$	−13.1454	−	9.55066i	−0.801487	−	0.582314i	0.109863	−	0.993947i	$-0.464959\pi$
$269$	−13.1454	−	9.55066i	−0.801487	−	0.582314i	−0.911350	+	0.411633i	$0.864959\pi$
$270$	10.4699	−	2.92384i	0.637176	−	0.177939i
$271$	1.75672	−	1.27633i	0.106713	−	0.0775318i	−0.533149	−	0.846021i	$-0.678991\pi$
$271$	1.75672	−	1.27633i	0.106713	−	0.0775318i	0.639862	+	0.768490i	$0.278991\pi$
$272$	−4.52611	+	3.28841i	−0.274436	+	0.199389i
$273$	−0.745898	−	2.29564i	−0.0451438	−	0.138938i
$274$	−11.0036			−0.664752
$275$	−5.38058	+	12.8037i	−0.324461	+	0.772094i
$276$	3.10075			0.186643
$277$	8.22138	+	25.3028i	0.493975	+	1.52030i	0.818548	+	0.574438i	$0.194779\pi$
$277$	8.22138	+	25.3028i	0.493975	+	1.52030i	−0.324573	+	0.945861i	$0.605221\pi$
$278$	−12.7331	+	9.25114i	−0.763680	+	0.554846i
$279$	−27.5110	+	19.9879i	−1.64704	+	1.19664i
$280$	1.23752	+	1.86240i	0.0739560	+	0.111300i
$281$	−10.0434	−	7.29694i	−0.599137	−	0.435299i	0.246435	−	0.969159i	$-0.420741\pi$
$281$	−10.0434	−	7.29694i	−0.599137	−	0.435299i	−0.845573	+	0.533861i	$0.820741\pi$
$282$	−17.5078			−1.04257
$283$	−8.92683	−	6.48572i	−0.530645	−	0.385536i	0.289954	−	0.957041i	$-0.406360\pi$
$283$	−8.92683	−	6.48572i	−0.530645	−	0.385536i	−0.820599	+	0.571504i	$0.806360\pi$
$284$	1.12759	−	3.47036i	0.0669100	−	0.205928i
$285$	−7.53457	−	2.80162i	−0.446309	−	0.165954i
$286$	−0.744395	−	2.29101i	−0.0440170	−	0.135470i
$287$	−3.15956	+	9.72411i	−0.186503	+	0.573996i
$288$	1.46680	−	4.51433i	0.0864318	−	0.266010i
$289$	4.41874	+	13.5995i	0.259926	+	0.799969i
$290$	3.64068	+	5.47903i	0.213788	+	0.321740i
$291$	15.2821	−	47.0335i	0.895854	−	2.75715i
$292$	12.2351	+	8.88929i	0.716003	+	0.520206i
$293$	4.51953			0.264034			0.132017	−	0.991247i	$-0.457855\pi$
$293$	4.51953			0.264034			0.132017	+	0.991247i	$0.457855\pi$
$294$	2.25172	+	1.63597i	0.131323	+	0.0954118i
$295$	−19.6766	+	24.8284i	−1.14561	+	1.44556i
$296$	8.06530	−	5.85978i	0.468786	−	0.340593i
$297$	10.9245	−	7.93711i	0.633904	−	0.460558i
$298$	3.68242	+	11.3333i	0.213317	+	0.656522i
$299$	0.966163			0.0558747
$300$	−11.9028	+	7.21034i	−0.687210	+	0.416289i
$301$	−1.05464			−0.0607886
$302$	−1.63762	−	5.04009i	−0.0942347	−	0.290025i
$303$	7.00121	−	5.08667i	0.402209	−	0.292222i
$304$	−1.04495	+	0.759200i	−0.0599319	+	0.0435431i
$305$	−1.30957	+	31.2853i	−0.0749857	+	1.79139i
$306$	−21.4839	−	15.6089i	−1.22815	−	0.892304i
$307$	1.43429			0.0818591			0.0409296	−	0.999162i	$-0.486968\pi$
$307$	1.43429			0.0818591			0.0409296	+	0.999162i	$0.486968\pi$
$308$	2.24718	+	1.63267i	0.128045	+	0.0930302i
$309$	7.91253	−	24.3523i	0.450128	−	1.38535i
$310$	9.94974	−	12.5548i	0.565107	−	0.713066i
$311$	−3.72999	−	11.4797i	−0.211509	−	0.650956i	−0.999383	−	0.0351206i	$-0.988818\pi$
$311$	−3.72999	−	11.4797i	−0.211509	−	0.650956i	0.787875	−	0.615836i	$-0.211182\pi$
$312$	0.745898	−	2.29564i	0.0422282	−	0.129965i
$313$	7.90391	−	24.3257i	0.446755	−	1.37497i	−0.433792	−	0.901013i	$-0.642825\pi$
$313$	7.90391	−	24.3257i	0.446755	−	1.37497i	0.880547	−	0.473959i	$-0.157175\pi$
$314$	4.85607	+	14.9454i	0.274044	+	0.843420i
$315$	−6.59232	+	8.31834i	−0.371435	+	0.468686i
$316$	−2.93681	+	9.03856i	−0.165208	+	0.508459i
$317$	−17.0743	−	12.4052i	−0.958990	−	0.696747i	−0.00607420	−	0.999982i	$-0.501933\pi$
$317$	−17.0743	−	12.4052i	−0.958990	−	0.696747i	−0.952916	+	0.303234i	$0.901933\pi$
$318$	−1.43049			−0.0802178
$319$	6.61102	+	4.80319i	0.370146	+	0.268927i
$320$	−0.0935175	+	2.23411i	−0.00522779	+	0.124891i
$321$	−8.54617	+	6.20916i	−0.477001	+	0.346561i
$322$	−0.901297	+	0.654830i	−0.0502273	+	0.0364923i
$323$	2.23299	+	6.87244i	0.124247	+	0.382393i
$324$	−0.709257			−0.0394031
$325$	−3.70880	+	2.24667i	−0.205727	+	0.124623i
$326$	18.1367			1.00450
$327$	−0.514181	−	1.58249i	−0.0284343	−	0.0875117i
$328$	−8.27183	+	6.00983i	−0.456735	+	0.331838i
$329$	5.08899	−	3.69737i	0.280565	−	0.203843i
$330$	−10.7371	+	13.5484i	−0.591060	+	0.745814i
$331$	26.5440	+	19.2853i	1.45899	+	1.06002i	0.983625	+	0.180229i	$0.0576837\pi$
$331$	26.5440	+	19.2853i	1.45899	+	1.06002i	0.475364	+	0.879789i	$0.342316\pi$
$332$	14.8419			0.814553
$333$	38.2831	+	27.8143i	2.09790	+	1.52422i
$334$	−0.981911	+	3.02201i	−0.0537278	+	0.165357i
$335$	−9.84916	−	14.8225i	−0.538117	−	0.809837i
$336$	0.860081	+	2.64706i	0.0469213	+	0.144409i
$337$	−0.314505	+	0.967946i	−0.0171322	+	0.0527274i	−0.959257	−	0.282535i	$-0.908825\pi$
$337$	−0.314505	+	0.967946i	−0.0171322	+	0.0527274i	0.942125	+	0.335262i	$0.108825\pi$
$338$	−3.78481	+	11.6484i	−0.205866	+	0.633591i
$339$	6.56738	+	20.2123i	0.356691	+	1.09778i
$340$	11.7255	+	4.35996i	0.635905	+	0.236452i
$341$	6.14928	−	18.9255i	0.333002	−	1.02487i
$342$	−4.96001	−	3.60366i	−0.268207	−	0.194863i
$343$	−1.00000			−0.0539949
$344$	−0.853225	−	0.619904i	−0.0460028	−	0.0334230i
$345$	−3.83725	−	5.77485i	−0.206590	−	0.310907i
$346$	−1.81330	+	1.31744i	−0.0974835	+	0.0708259i
$347$	−7.25895	+	5.27394i	−0.389681	+	0.283120i	−0.765325	−	0.643644i	$-0.777422\pi$
$347$	−7.25895	+	5.27394i	−0.389681	+	0.283120i	0.375644	+	0.926764i	$0.377422\pi$
$348$	2.53028	+	7.78741i	0.135637	+	0.417449i
$349$	−21.0096			−1.12462			−0.562309	−	0.826927i	$-0.690087\pi$
$349$	−21.0096			−1.12462			−0.562309	+	0.826927i	$0.690087\pi$
$350$	1.93709	−	4.60952i	0.103542	−	0.246389i
$351$	4.21603			0.225035
$352$	0.858347	+	2.64172i	0.0457501	+	0.140804i
$353$	−5.15339	+	3.74415i	−0.274287	+	0.199281i	−0.716422	−	0.697667i	$-0.754221\pi$
$353$	−5.15339	+	3.74415i	−0.274287	+	0.199281i	0.442135	+	0.896949i	$0.354221\pi$
$354$	−31.9017	+	23.1779i	−1.69556	+	1.23189i
$355$	−7.85862	+	2.19462i	−0.417092	+	0.116478i
$356$	−1.34246	−	0.975351i	−0.0711500	−	0.0516935i
$357$	15.5713			0.824120
$358$	−0.561839	−	0.408200i	−0.0296941	−	0.0215740i
$359$	6.03049	−	18.5599i	0.318277	−	0.979556i	−0.656108	−	0.754667i	$-0.727798\pi$
$359$	6.03049	−	18.5599i	0.318277	−	0.979556i	0.974385	−	0.224888i	$-0.0722017\pi$
$360$	−10.2227	+	2.85482i	−0.538783	+	0.150462i
$361$	−5.35579	−	16.4834i	−0.281884	−	0.867549i
$362$	−8.25388	+	25.4028i	−0.433814	+	1.33514i
$363$	2.82498	−	8.69439i	0.148273	−	0.456337i
$364$	0.267993	+	0.824796i	0.0140466	+	0.0432311i
$365$	1.41430	−	33.7873i	0.0740278	−	1.76851i
$366$	−12.0441	+	37.0680i	−0.629556	+	1.93757i
$367$	−18.7841	−	13.6475i	−0.980523	−	0.712392i	−0.0226977	−	0.999742i	$-0.507226\pi$
$367$	−18.7841	−	13.6475i	−0.980523	−	0.712392i	−0.957825	+	0.287351i	$0.907226\pi$
$368$	−1.11406			−0.0580746
$369$	−39.2635	−	28.5266i	−2.04397	−	1.48503i
$370$	−20.8942	−	7.76923i	−1.08624	−	0.403903i
$371$	0.415801	−	0.302097i	0.0215873	−	0.0156841i
$372$	16.1315	−	11.7202i	0.836381	−	0.607666i
$373$	0.342662	+	1.05460i	0.0177424	+	0.0546054i	0.959536	−	0.281587i	$-0.0908608\pi$
$373$	0.342662	+	1.05460i	0.0177424	+	0.0546054i	−0.941793	+	0.336192i	$0.890861\pi$
$374$	15.5399			0.803549
$375$	28.1586	+	13.2449i	1.45410	+	0.683964i
$376$	6.29034			0.324399
$377$	0.788411	+	2.42648i	0.0406052	+	0.124970i
$378$	−3.93297	+	2.85747i	−0.202290	+	0.146972i
$379$	−26.9800	+	19.6021i	−1.38587	+	1.00689i	−0.389566	+	0.920999i	$0.627375\pi$
$379$	−26.9800	+	19.6021i	−1.38587	+	1.00689i	−0.996304	+	0.0858950i	$0.972625\pi$
$380$	2.70708	+	1.00659i	0.138870	+	0.0516370i
$381$	7.87912	+	5.72452i	0.403660	+	0.293276i
$382$	−2.43644			−0.124659
$383$	12.8753	+	9.35448i	0.657899	+	0.477992i	0.865953	−	0.500126i	$-0.166713\pi$
$383$	12.8753	+	9.35448i	0.657899	+	0.477992i	−0.208054	+	0.978117i	$0.566713\pi$
$384$	−0.860081	+	2.64706i	−0.0438908	+	0.135082i
$385$	0.259761	−	6.20562i	0.0132386	−	0.316268i
$386$	−5.82323	−	17.9221i	−0.296395	−	0.912209i
$387$	1.54695	−	4.76101i	0.0786357	−	0.242016i
$388$	−5.49069	+	16.8986i	−0.278747	+	0.857896i
$389$	8.84296	+	27.2158i	0.448356	+	1.37990i	0.878761	+	0.477262i	$0.158371\pi$
$389$	8.84296	+	27.2158i	0.448356	+	1.37990i	−0.430405	+	0.902636i	$0.641629\pi$
$390$	−5.19847	+	1.45174i	−0.263235	+	0.0735116i
$391$	−1.92602	+	5.92767i	−0.0974028	+	0.299775i
$392$	−0.809017	−	0.587785i	−0.0408615	−	0.0296876i
$393$	−45.8318			−2.31191
$394$	−5.90165	−	4.28780i	−0.297321	−	0.216016i
$395$	20.4678	−	5.71589i	1.02985	−	0.287598i
$396$	−10.6666	+	7.74973i	−0.536016	+	0.389439i
$397$	6.61347	−	4.80497i	0.331921	−	0.241154i	−0.409325	−	0.912389i	$-0.634236\pi$
$397$	6.61347	−	4.80497i	0.331921	−	0.241154i	0.741245	+	0.671234i	$0.234236\pi$
$398$	7.47128	+	22.9942i	0.374501	+	1.15260i
$399$	3.59496			0.179973
$400$	4.27654	−	2.59059i	0.213827	−	0.129530i
$401$	7.61777			0.380414			0.190207	−	0.981744i	$-0.439084\pi$
$401$	7.61777			0.380414			0.190207	+	0.981744i	$0.439084\pi$
$402$	−6.84520	−	21.0673i	−0.341407	−	1.05074i
$403$	5.02642	−	3.65191i	0.250384	−	0.181915i
$404$	−2.51545	+	1.82758i	−0.125148	+	0.0909256i
$405$	0.877720	+	1.32092i	0.0436142	+	0.0656371i
$406$	−2.38006	−	1.72921i	−0.118120	−	0.0858194i
$407$	−27.6913			−1.37261
$408$	12.5974	+	9.15257i	0.623666	+	0.453120i
$409$	7.95069	−	24.4697i	0.393136	−	1.20995i	−0.537268	−	0.843412i	$-0.680543\pi$
$409$	7.95069	−	24.4697i	0.393136	−	1.20995i	0.930404	−	0.366537i	$-0.119457\pi$
$410$	21.4293	+	7.96818i	1.05832	+	0.393520i
$411$	9.46398	+	29.1271i	0.466824	+	1.43674i
$412$	−2.84288	+	8.74948i	−0.140059	+	0.431056i
$413$	4.37806	−	13.4743i	0.215430	−	0.663026i
$414$	−1.63410	−	5.02926i	−0.0803119	−	0.247174i
$415$	−18.3671	−	27.6415i	−0.901606	−	1.35687i
$416$	−0.267993	+	0.824796i	−0.0131394	+	0.0404390i
$417$	35.4398	+	25.7485i	1.73549	+	1.26091i
$418$	3.58772			0.175481
$419$	14.8735	+	10.8062i	0.726617	+	0.527918i	0.888491	−	0.458893i	$-0.151754\pi$
$419$	14.8735	+	10.8062i	0.726617	+	0.527918i	−0.161875	+	0.986811i	$0.551754\pi$
$420$	3.86552	−	4.87760i	0.188618	−	0.238003i
$421$	−19.1057	+	13.8811i	−0.931155	+	0.676524i	−0.946275	−	0.323362i	$-0.895187\pi$
$421$	−19.1057	+	13.8811i	−0.931155	+	0.676524i	0.0151201	+	0.999886i	$0.495187\pi$
$422$	−6.95723	+	5.05472i	−0.338673	+	0.246060i
$423$	9.22664	+	28.3967i	0.448615	+	1.38069i
$424$	0.513958			0.0249600
$425$	−6.39055	−	27.2331i	−0.309987	−	1.32100i
$426$	−10.1561			−0.492063
$427$	−4.32731	−	13.3181i	−0.209413	−	0.644507i
$428$	3.07054	−	2.23088i	0.148420	−	0.107833i
$429$	−5.42420	+	3.94091i	−0.261883	+	0.190269i
$430$	−0.0986276	+	2.35619i	−0.00475625	+	0.113626i
$431$	−28.2475	−	20.5230i	−1.36063	−	0.988557i	−0.998404	−	0.0564678i	$-0.982016\pi$
$431$	−28.2475	−	20.5230i	−1.36063	−	0.988557i	−0.362228	−	0.932090i	$-0.617984\pi$
$432$	−4.86142			−0.233895
$433$	−2.23722	−	1.62544i	−0.107514	−	0.0781135i	0.532729	−	0.846286i	$-0.321166\pi$
$433$	−2.23722	−	1.62544i	−0.107514	−	0.0781135i	−0.640243	+	0.768172i	$0.721166\pi$
$434$	−2.21383	+	6.81345i	−0.106267	+	0.327056i
$435$	11.3720	−	14.3495i	0.545247	−	0.688006i
$436$	0.184739	+	0.568569i	0.00884741	+	0.0272295i
$437$	−0.444662	+	1.36853i	−0.0212711	+	0.0654656i
$438$	13.0073	−	40.0324i	0.621514	−	1.91282i
$439$	1.48340	+	4.56543i	0.0707988	+	0.217896i	0.980195	−	0.198035i	$-0.0634558\pi$
$439$	1.48340	+	4.56543i	0.0707988	+	0.217896i	−0.909396	+	0.415931i	$0.863456\pi$
$440$	3.85773	−	4.86777i	0.183910	−	0.232062i
$441$	1.46680	−	4.51433i	0.0698474	−	0.214968i
$442$	3.92523	+	2.85185i	0.186704	+	0.135649i
$443$	−7.23741			−0.343860			−0.171930	−	0.985109i	$-0.555000\pi$
$443$	−7.23741			−0.343860			−0.171930	+	0.985109i	$0.555000\pi$
$444$	−22.4480	−	16.3094i	−1.06533	−	0.774010i
$445$	−0.155180	+	3.70721i	−0.00735622	+	0.175739i
$446$	11.3665	−	8.25825i	0.538219	−	0.391039i
$447$	26.8328	−	19.4952i	1.26915	−	0.922090i
$448$	−0.309017	−	0.951057i	−0.0145997	−	0.0449332i
$449$	−11.9624			−0.564542			−0.282271	−	0.959335i	$-0.591088\pi$
$449$	−11.9624			−0.564542			−0.282271	+	0.959335i	$0.591088\pi$
$450$	17.9676	+	15.5059i	0.847001	+	0.730954i
$451$	28.4004			1.33732
$452$	−2.35958	−	7.26205i	−0.110985	−	0.341578i
$453$	−11.9329	+	8.66977i	−0.560657	+	0.407341i
$454$	5.44377	−	3.95513i	0.255489	−	0.185623i
$455$	1.20446	−	1.51981i	0.0564658	−	0.0712499i
$456$	2.90839	+	2.11307i	0.136198	+	0.0989534i
$457$	−19.7340			−0.923116			−0.461558	−	0.887110i	$-0.652709\pi$
$457$	−19.7340			−0.923116			−0.461558	+	0.887110i	$0.652709\pi$
$458$	−3.91670	−	2.84565i	−0.183015	−	0.132969i
$459$	−8.40452	+	25.8665i	−0.392290	+	1.20734i
$460$	1.37868	+	2.07484i	0.0642812	+	0.0967397i
$461$	−9.33553	−	28.7318i	−0.434799	−	1.33817i	−0.893292	−	0.449476i	$-0.851611\pi$
$461$	−9.33553	−	28.7318i	−0.434799	−	1.33817i	0.458493	−	0.888698i	$-0.348389\pi$
$462$	2.38902	−	7.35265i	0.111147	−	0.342076i
$463$	−5.07805	+	15.6286i	−0.235997	+	0.726324i	0.760991	+	0.648763i	$0.224713\pi$
$463$	−5.07805	+	15.6286i	−0.235997	+	0.726324i	−0.996988	+	0.0775609i	$0.975287\pi$
$464$	−0.909101	−	2.79793i	−0.0422040	−	0.129890i
$465$	−41.7909	−	15.5394i	−1.93801	−	0.720621i
$466$	−3.93263	+	12.1034i	−0.182176	+	0.560679i
$467$	−33.9496	−	24.6658i	−1.57100	−	1.14140i	−0.926191	−	0.377054i	$-0.876937\pi$
$467$	−33.9496	−	24.6658i	−1.57100	−	1.14140i	−0.644809	−	0.764344i	$-0.723063\pi$
$468$	−4.11650			−0.190285
$469$	6.43879	+	4.67805i	0.297316	+	0.216012i
$470$	−7.78442	−	11.7151i	−0.359069	−	0.540379i
$471$	35.3848	−	25.7086i	1.63045	−	1.18459i
$472$	11.4619	−	8.32756i	0.527577	−	0.383307i
$473$	0.905250	+	2.78607i	0.0416235	+	0.128104i
$474$	26.4515			1.21496
$475$	−1.47539	−	6.28735i	−0.0676957	−	0.288483i
$476$	−5.59458			−0.256427
$477$	0.753871	+	2.32018i	0.0345174	+	0.106234i
$478$	−5.79660	+	4.21148i	−0.265130	+	0.192629i
$479$	7.63143	−	5.54456i	0.348689	−	0.253337i	−0.399630	−	0.916677i	$-0.630861\pi$
$479$	7.63143	−	5.54456i	0.348689	−	0.253337i	0.748319	+	0.663339i	$0.230861\pi$
$480$	5.99425	−	1.67397i	0.273599	−	0.0764060i
$481$	−6.99456	−	5.08185i	−0.318925	−	0.231712i
$482$	16.9722			0.773062
$483$	2.50856	+	1.82258i	0.114144	+	0.0829301i
$484$	−1.01498	+	3.12379i	−0.0461355	+	0.141991i
$485$	38.2668	−	10.6865i	1.73761	−	0.485249i
$486$	5.11680	+	15.7479i	0.232103	+	0.714339i
$487$	−6.32025	+	19.4517i	−0.286398	+	0.881441i	0.699579	+	0.714556i	$0.253371\pi$
$487$	−6.32025	+	19.4517i	−0.286398	+	0.881441i	−0.985976	+	0.166886i	$0.946629\pi$
$488$	4.32731	−	13.3181i	0.195888	−	0.602881i
$489$	−15.5991	−	48.0090i	−0.705414	−	2.17104i
$490$	−0.0935175	+	2.23411i	−0.00422469	+	0.100927i
$491$	−7.23675	+	22.2724i	−0.326590	+	1.00514i	0.644128	+	0.764918i	$0.277220\pi$
$491$	−7.23675	+	22.2724i	−0.326590	+	1.00514i	−0.970718	+	0.240223i	$0.922780\pi$
$492$	23.0228	+	16.7271i	1.03795	+	0.754114i
$493$	−16.4588			−0.741266
$494$	0.906224	+	0.658410i	0.0407729	+	0.0296233i
$495$	27.6332	+	10.2750i	1.24202	+	0.461828i
$496$	−5.79587	+	4.21095i	−0.260242	+	0.189077i
$497$	2.95206	−	2.14480i	0.132418	−	0.0962074i
$498$	−12.7652	−	39.2873i	−0.572023	−	1.76050i
$499$	−2.27435			−0.101814			−0.0509070	−	0.998703i	$-0.516211\pi$
$499$	−2.27435			−0.101814			−0.0509070	+	0.998703i	$0.516211\pi$
$500$	−10.1170	−	4.75874i	−0.452448	−	0.212817i
$501$	8.84396			0.395119
$502$	1.38475	+	4.26181i	0.0618043	+	0.190214i
$503$	−27.6314	+	20.0754i	−1.23202	+	0.895116i	−0.997040	−	0.0768839i	$-0.975503\pi$
$503$	−27.6314	+	20.0754i	−1.23202	+	0.895116i	−0.234981	+	0.972000i	$0.575503\pi$
$504$	3.84012	−	2.79001i	0.171053	−	0.124277i
$505$	6.51662	+	2.42311i	0.289986	+	0.107827i
$506$	2.50350	+	1.81890i	0.111294	+	0.0808601i
$507$	34.0893			1.51396
$508$	−2.83088	−	2.05675i	−0.125600	−	0.0912536i
$509$	−8.95981	+	27.5755i	−0.397136	+	1.22226i	0.530149	+	0.847905i	$0.322136\pi$
$509$	−8.95981	+	27.5755i	−0.397136	+	1.22226i	−0.927285	+	0.374356i	$0.877864\pi$
$510$	1.45619	−	34.7880i	0.0644811	−	1.54044i
$511$	4.67338	+	14.3832i	0.206738	+	0.636274i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	−1.94036	+	5.97182i	−0.0856691	+	0.263662i
$514$	5.81435	+	17.8947i	0.256460	+	0.789303i
$515$	19.8132	−	5.53308i	0.873073	−	0.243817i
$516$	−0.907079	+	2.79170i	−0.0399319	+	0.122898i
$517$	−14.1355	−	10.2701i	−0.621680	−	0.451677i
$518$	9.96925			0.438024
$519$	5.04692	+	3.66680i	0.221535	+	0.160955i
$520$	1.86775	−	0.521592i	0.0819062	−	0.0228733i
$521$	−32.9790	+	23.9606i	−1.44484	+	1.04973i	−0.457832	+	0.889039i	$0.651374\pi$
$521$	−32.9790	+	23.9606i	−1.44484	+	1.04973i	−0.987004	+	0.160696i	$0.948626\pi$
$522$	11.2973	−	8.20797i	0.494470	−	0.359253i
$523$	8.33006	+	25.6373i	0.364248	+	1.12104i	0.950451	+	0.310875i	$0.100622\pi$
$523$	8.33006	+	25.6373i	0.364248	+	1.12104i	−0.586203	+	0.810164i	$0.699378\pi$
$524$	16.4668			0.719357
$525$	−13.8677	−	1.16301i	−0.605237	−	0.0507581i
$526$	14.6189			0.637413
$527$	12.3854	+	38.1184i	0.539518	+	1.66046i
$528$	6.25454	−	4.54419i	0.272194	−	0.197760i
$529$	17.6033	−	12.7895i	0.765360	−	0.556067i
$530$	−0.636033	−	0.957196i	−0.0276275	−	0.0415779i
$531$	54.4056	+	39.5280i	2.36100	+	1.71537i
$532$	−1.29163			−0.0559992
$533$	7.17368	+	5.21198i	0.310726	+	0.225756i
$534$	−1.42719	+	4.39244i	−0.0617605	+	0.190079i
$535$	−7.95464	−	2.95782i	−0.343909	−	0.127878i
$536$	2.45940	+	7.56925i	0.106230	+	0.326942i
$537$	−0.597301	+	1.83830i	−0.0257755	+	0.0793287i
$538$	5.02108	−	15.4533i	0.216474	−	0.666239i
$539$	0.858347	+	2.64172i	0.0369716	+	0.113787i
$540$	6.01611	+	9.05392i	0.258892	+	0.389619i
$541$	0.603654	−	1.85785i	0.0259531	−	0.0798754i	−0.937241	−	0.348682i	$-0.886629\pi$
$541$	0.603654	−	1.85785i	0.0259531	−	0.0798754i	0.963194	+	0.268807i	$0.0866293\pi$
$542$	1.75672	+	1.27633i	0.0754578	+	0.0548233i
$543$	74.3418			3.19031
$544$	−4.52611	−	3.28841i	−0.194055	−	0.140989i
$545$	0.830286	−	1.04767i	0.0355655	−	0.0448775i
$546$	1.95279	−	1.41878i	0.0835716	−	0.0607183i
$547$	15.3742	−	11.1700i	0.657351	−	0.477594i	−0.208416	−	0.978040i	$-0.566831\pi$
$547$	15.3742	−	11.1700i	0.657351	−	0.477594i	0.865767	+	0.500447i	$0.166831\pi$
$548$	−3.40030	−	10.4650i	−0.145254	−	0.447044i
$549$	66.4695			2.83685
$550$	−13.8398	−	1.16067i	−0.590130	−	0.0494911i
$551$	−3.79986			−0.161879
$552$	0.958185	+	2.94899i	0.0407831	+	0.125517i
$553$	−7.68866	+	5.58614i	−0.326955	+	0.237547i
$554$	−21.5239	+	15.6380i	−0.914461	+	0.664395i
$555$	−2.59485	+	61.9904i	−0.110145	+	2.63135i
$556$	−12.7331	−	9.25114i	−0.540004	−	0.392336i
$557$	15.3204			0.649146			0.324573	−	0.945861i	$-0.394779\pi$
$557$	15.3204			0.649146			0.324573	+	0.945861i	$0.394779\pi$
$558$	−27.5110	−	19.9879i	−1.16463	−	0.846155i
$559$	−0.282637	+	0.869866i	−0.0119543	+	0.0367914i
$560$	−1.38884	+	1.75247i	−0.0586890	+	0.0740552i
$561$	−13.3656	−	41.1350i	−0.564295	−	1.73672i
$562$	3.83623	−	11.8067i	0.161821	−	0.498035i
$563$	−6.44040	+	19.8215i	−0.271431	+	0.835377i	0.718711	+	0.695309i	$0.244732\pi$
$563$	−6.44040	+	19.8215i	−0.271431	+	0.835377i	−0.990142	+	0.140069i	$0.955268\pi$
$564$	−5.41020	−	16.6509i	−0.227811	−	0.701129i
$565$	−10.6048	+	13.3814i	−0.446148	+	0.562961i
$566$	3.40975	−	10.4941i	0.143322	−	0.441101i
$567$	−0.573801	−	0.416891i	−0.0240974	−	0.0175078i
$568$	3.64895			0.153107
$569$	25.4614	+	18.4988i	1.06740	+	0.775510i	0.975443	−	0.220253i	$-0.0706882\pi$
$569$	25.4614	+	18.4988i	1.06740	+	0.775510i	0.0919556	+	0.995763i	$0.470688\pi$
$570$	0.336192	−	8.03155i	0.0140815	−	0.336405i
$571$	−31.7640	+	23.0779i	−1.32928	+	0.965779i	−0.329515	+	0.944150i	$0.606885\pi$
$571$	−31.7640	+	23.0779i	−1.32928	+	0.965779i	−0.999766	+	0.0216287i	$0.993115\pi$
$572$	1.94885	−	1.41592i	0.0814856	−	0.0592027i
$573$	2.09554	+	6.44940i	0.0875423	+	0.269428i
$574$	−10.2245			−0.426764
$575$	2.15804	−	5.13530i	0.0899964	−	0.214157i
$576$	4.74665			0.197777
$577$	−8.74754	−	26.9222i	−0.364165	−	1.12078i	−0.950502	−	0.310718i	$-0.899431\pi$
$577$	−8.74754	−	26.9222i	−0.364165	−	1.12078i	0.586337	−	0.810067i	$-0.300569\pi$
$578$	−11.5684	+	8.40493i	−0.481182	+	0.349599i
$579$	−42.4323	+	30.8289i	−1.76343	+	1.28120i
$580$	−4.08583	+	5.15560i	−0.169655	+	0.214075i
$581$	12.0073	+	8.72383i	0.498148	+	0.361925i
$582$	49.4540			2.04993
$583$	−1.15496	−	0.839125i	−0.0478334	−	0.0347530i
$584$	−4.67338	+	14.3832i	−0.193386	+	0.595180i
$585$	5.09425	+	7.66657i	0.210621	+	0.316974i
$586$	1.39661	+	4.29833i	0.0576935	+	0.177562i
$587$	4.60659	−	14.1776i	0.190134	−	0.585173i	−0.809865	−	0.586617i	$-0.800459\pi$
$587$	4.60659	−	14.1776i	0.190134	−	0.585173i	0.999999	+	0.00144353i	$0.000459491\pi$
$588$	−0.860081	+	2.64706i	−0.0354691	+	0.109163i
$589$	2.85944	+	8.80045i	0.117821	+	0.362616i
$590$	−29.6936	−	11.0411i	−1.22247	−	0.454557i
$591$	−6.27416	+	19.3099i	−0.258084	+	0.794302i
$592$	8.06530	+	5.85978i	0.331482	+	0.240835i
$593$	−5.90123			−0.242334			−0.121167	−	0.992632i	$-0.538664\pi$
$593$	−5.90123			−0.242334			−0.121167	+	0.992632i	$0.538664\pi$
$594$	10.9245	+	7.93711i	0.448238	+	0.325664i
$595$	6.92341	+	10.4194i	0.283832	+	0.427152i
$596$	−9.64071	+	7.00439i	−0.394899	+	0.286911i
$597$	54.4411	−	39.5538i	2.22813	−	1.61883i
$598$	0.298561	+	0.918876i	0.0122091	+	0.0375756i
$599$	−7.19242			−0.293874			−0.146937	−	0.989146i	$-0.546942\pi$
$599$	−7.19242			−0.293874			−0.146937	+	0.989146i	$0.546942\pi$
$600$	−10.5356	−	9.09214i	−0.430115	−	0.371185i
$601$	−10.5079			−0.428627			−0.214313	−	0.976765i	$-0.568751\pi$
$601$	−10.5079			−0.428627			−0.214313	+	0.976765i	$0.568751\pi$
$602$	−0.325903	−	1.00303i	−0.0132828	−	0.0408803i
$603$	−30.5627	+	22.2051i	−1.24461	+	0.904261i
$604$	4.28736	−	3.11495i	0.174450	−	0.126745i
$605$	7.07382	−	1.97545i	0.287592	−	0.0803136i
$606$	7.00121	+	5.08667i	0.284405	+	0.206632i
$607$	10.4925			0.425879			0.212939	−	0.977065i	$-0.431696\pi$
$607$	10.4925			0.425879			0.212939	+	0.977065i	$0.431696\pi$
$608$	−1.04495	−	0.759200i	−0.0423783	−	0.0307896i
$609$	−2.53028	+	7.78741i	−0.102532	+	0.315562i
$610$	−30.1588	+	8.42221i	−1.22109	+	0.341005i
$611$	−1.68576	−	5.18825i	−0.0681987	−	0.209894i
$612$	8.20611	−	25.2558i	0.331712	−	1.02091i
$613$	5.05603	−	15.5609i	0.204211	−	0.628497i	−0.795534	−	0.605909i	$-0.792809\pi$
$613$	5.05603	−	15.5609i	0.204211	−	0.628497i	0.999745	−	0.0225879i	$-0.00719057\pi$
$614$	0.443219	+	1.36409i	0.0178869	+	0.0550501i
$615$	2.66130	−	63.5778i	0.107314	−	2.56371i
$616$	−0.858347	+	2.64172i	−0.0345838	+	0.106438i
$617$	−4.85005	−	3.52377i	−0.195256	−	0.141862i	0.485862	−	0.874036i	$-0.338506\pi$
$617$	−4.85005	−	3.52377i	−0.195256	−	0.141862i	−0.681118	+	0.732174i	$0.738506\pi$
$618$	25.6055			1.03000
$619$	13.3176	+	9.67583i	0.535281	+	0.388904i	0.822329	−	0.569012i	$-0.192674\pi$
$619$	13.3176	+	9.67583i	0.535281	+	0.388904i	−0.287049	+	0.957916i	$0.592674\pi$
$620$	15.0150	+	5.58311i	0.603016	+	0.224223i
$621$	−4.38158	+	3.18341i	−0.175827	+	0.127746i
$622$	9.76525	−	7.09487i	0.391551	−	0.284478i
$623$	−0.512772	−	1.57815i	−0.0205438	−	0.0632273i
$624$	2.41378			0.0966284
$625$	3.65736	+	24.7310i	0.146294	+	0.989241i
$626$	25.5776			1.02229
$627$	−3.08573	−	9.49689i	−0.123232	−	0.379269i
$628$	−12.7134	+	9.23679i	−0.507318	+	0.368588i
$629$	45.1219	−	32.7830i	1.79913	−	1.30714i
$630$	−9.94835	−	3.69915i	−0.396352	−	0.147378i
$631$	−12.3419	−	8.96692i	−0.491323	−	0.356967i	0.314370	−	0.949301i	$-0.398207\pi$
$631$	−12.3419	−	8.96692i	−0.491323	−	0.356967i	−0.805693	+	0.592333i	$0.798207\pi$
$632$	−9.50371			−0.378037
$633$	19.3639	+	14.0687i	0.769647	+	0.559181i
$634$	6.52182	−	20.0721i	0.259014	−	0.797164i
$635$	−0.327232	+	7.81751i	−0.0129858	+	0.310228i
$636$	−0.442045	−	1.36048i	−0.0175282	−	0.0539464i
$637$	−0.267993	+	0.824796i	−0.0106183	+	0.0326796i
$638$	−2.52518	+	7.77172i	−0.0999730	+	0.307685i
$639$	5.35227	+	16.4726i	0.211732	+	0.651645i
$640$	−2.15366	+	0.601438i	−0.0851311	+	0.0237739i
$641$	13.4485	−	41.3903i	0.531184	−	1.63482i	−0.220568	−	0.975372i	$-0.570791\pi$
$641$	13.4485	−	41.3903i	0.531184	−	1.63482i	0.751753	−	0.659445i	$-0.229209\pi$
$642$	−8.54617	−	6.20916i	−0.337290	−	0.245056i
$643$	20.0261			0.789753			0.394876	−	0.918734i	$-0.370787\pi$
$643$	20.0261			0.789753			0.394876	+	0.918734i	$0.370787\pi$
$644$	−0.901297	−	0.654830i	−0.0355161	−	0.0258039i
$645$	6.32180	−	1.76544i	0.248921	−	0.0695142i
$646$	−5.84605	+	4.24740i	−0.230010	+	0.167112i
$647$	−32.9229	+	23.9199i	−1.29433	+	0.940387i	−0.999883	−	0.0152798i	$-0.995136\pi$
$647$	−32.9229	+	23.9199i	−1.29433	+	0.940387i	−0.294449	+	0.955667i	$0.595136\pi$
$648$	−0.219172	−	0.674543i	−0.00860990	−	0.0264986i
$649$	−39.3532			−1.54475
$650$	−3.28279	−	2.83302i	−0.128762	−	0.111120i
$651$	19.9397			0.781497
$652$	5.60456	+	17.2491i	0.219491	+	0.675525i
$653$	−21.7130	+	15.7754i	−0.849694	+	0.617339i	−0.925062	−	0.379817i	$-0.875987\pi$
$653$	−21.7130	+	15.7754i	−0.849694	+	0.617339i	0.0753676	+	0.997156i	$0.475987\pi$
$654$	1.34614	−	0.978031i	0.0526384	−	0.0382440i
$655$	−20.3780	−	30.6679i	−0.796236	−	1.19829i
$656$	−8.27183	−	6.00983i	−0.322961	−	0.234645i
$657$	−71.7853			−2.80061
$658$	5.08899	+	3.69737i	0.198390	+	0.144138i
$659$	3.83339	−	11.7980i	0.149328	−	0.459584i	−0.848214	−	0.529653i	$-0.822322\pi$
$659$	3.83339	−	11.7980i	0.149328	−	0.459584i	0.997542	+	0.0700694i	$0.0223221\pi$
$660$	−16.2032	−	6.02494i	−0.630710	−	0.234521i
$661$	5.68803	+	17.5060i	0.221239	+	0.680903i	0.998652	+	0.0519121i	$0.0165316\pi$
$661$	5.68803	+	17.5060i	0.221239	+	0.680903i	−0.777413	+	0.628990i	$0.783468\pi$
$662$	−10.1389	+	31.2043i	−0.394059	+	1.21279i
$663$	4.17299	−	12.8431i	0.162065	−	0.498786i
$664$	4.58639	+	14.1155i	0.177986	+	0.547786i
$665$	1.59842	+	2.40553i	0.0619839	+	0.0932825i
$666$	−14.6229	+	45.0045i	−0.566624	+	1.74389i
$667$	−2.65154	−	1.92645i	−0.102668	−	0.0745926i
$668$	−3.17753			−0.122942
$669$	−31.6362	−	22.9850i	−1.22312	−	0.888652i
$670$	11.0534	−	13.9475i	0.427031	−	0.538839i
$671$	−31.4683	+	22.8631i	−1.21482	+	0.882619i
$672$	−2.25172	+	1.63597i	−0.0868620	+	0.0631090i
$673$	−2.71549	−	8.35741i	−0.104674	−	0.322154i	0.884980	−	0.465630i	$-0.154172\pi$
$673$	−2.71549	−	8.35741i	−0.104674	−	0.322154i	−0.989654	+	0.143475i	$0.954172\pi$
$674$	−1.01776			−0.0392026
$675$	9.41699	−	22.4088i	0.362460	−	0.862516i
$676$	−12.2479			−0.471073
$677$	−11.7968	−	36.3068i	−0.453387	−	1.39538i	−0.873018	−	0.487687i	$-0.837841\pi$
$677$	−11.7968	−	36.3068i	−0.453387	−	1.39538i	0.419631	−	0.907695i	$-0.362159\pi$
$678$	−17.1936	+	12.4919i	−0.660317	+	0.479748i
$679$	−14.3748	+	10.4439i	−0.551654	+	0.400800i
$680$	−0.523191	+	12.4989i	−0.0200635	+	0.479312i
$681$	−15.1515	−	11.0082i	−0.580608	−	0.421836i
$682$	19.8995			0.761990
$683$	−19.9118	−	14.4667i	−0.761903	−	0.553555i	0.137591	−	0.990489i	$-0.456064\pi$
$683$	−19.9118	−	14.4667i	−0.761903	−	0.553555i	−0.899493	+	0.436934i	$0.856064\pi$
$684$	1.89455	−	5.83084i	0.0724401	−	0.222948i
$685$	−15.2822	+	19.2834i	−0.583902	+	0.736782i
$686$	−0.309017	−	0.951057i	−0.0117983	−	0.0363115i
$687$	−4.16392	+	12.8152i	−0.158863	+	0.488931i
$688$	0.325903	−	1.00303i	0.0124249	−	0.0382400i
$689$	−0.137737	−	0.423910i	−0.00524735	−	0.0161497i
$690$	4.30643	−	5.43396i	0.163943	−	0.206867i
$691$	3.50000	−	10.7719i	0.133146	−	0.409782i	−0.862151	−	0.506652i	$-0.830883\pi$
$691$	3.50000	−	10.7719i	0.133146	−	0.409782i	0.995297	+	0.0968697i	$0.0308830\pi$
$692$	−1.81330	−	1.31744i	−0.0689312	−	0.0500815i
$693$	−13.1846			−0.500843
$694$	−7.25895	−	5.27394i	−0.275546	−	0.200196i
$695$	−1.47187	+	35.1626i	−0.0558312	+	1.33379i
$696$	−6.62437	+	4.81289i	−0.251096	+	0.182432i
$697$	−46.2774	+	33.6225i	−1.75288	+	1.27354i
$698$	−6.49232	−	19.9813i	−0.245738	−	0.756304i
$699$	35.4208			1.33974
$700$	4.98251	+	0.417857i	0.188321	+	0.0157935i
$701$	−1.03615			−0.0391350			−0.0195675	−	0.999809i	$-0.506229\pi$
$701$	−1.03615			−0.0391350			−0.0195675	+	0.999809i	$0.506229\pi$
$702$	1.30282	+	4.00968i	0.0491719	+	0.151336i
$703$	10.4174	−	7.56866i	0.392898	−	0.285457i
$704$	−2.24718	+	1.63267i	−0.0846939	+	0.0615337i
$705$	−24.3154	+	30.6818i	−0.915772	+	1.15554i
$706$	−5.15339	−	3.74415i	−0.193950	−	0.140913i
$707$	−3.10927			−0.116936
$708$	−31.9017	−	23.1779i	−1.19894	−	0.871080i
$709$	−2.90134	+	8.92939i	−0.108962	+	0.335350i	−0.990640	−	0.136501i	$-0.956414\pi$
$709$	−2.90134	+	8.92939i	−0.108962	+	0.335350i	0.881678	+	0.471852i	$0.156414\pi$
$710$	−4.51565	−	6.79582i	−0.169469	−	0.255042i
$711$	−13.9400	−	42.9029i	−0.522791	−	1.60898i
$712$	0.512772	−	1.57815i	0.0192170	−	0.0591437i
$713$	−2.46634	+	7.59062i	−0.0923653	+	0.284271i
$714$	4.81179	+	14.8092i	0.180077	+	0.554219i
$715$	−5.04876	−	1.87731i	−0.188813	−	0.0702074i
$716$	0.214603	−	0.660481i	0.00802010	−	0.0246833i
$717$	16.1336	+	11.7217i	0.602519	+	0.437756i
$718$	19.5151			0.728296
$719$	−19.4614	−	14.1395i	−0.725788	−	0.527316i	0.162440	−	0.986718i	$-0.448063\pi$
$719$	−19.4614	−	14.1395i	−0.725788	−	0.527316i	−0.888228	+	0.459403i	$0.848063\pi$
$720$	−5.87408	−	8.84017i	−0.218914	−	0.329454i
$721$	−7.44276	+	5.40748i	−0.277183	+	0.201385i
$722$	14.0216	−	10.1873i	0.521831	−	0.379133i
$723$	−14.5975	−	44.9264i	−0.542886	−	1.67083i
$724$	−26.7101			−0.992674
$725$	14.6581	+	1.22930i	0.544389	+	0.0456550i
$726$	9.14182			0.339285
$727$	16.4498	+	50.6272i	0.610089	+	1.87766i	0.457053	+	0.889439i	$0.348905\pi$
$727$	16.4498	+	50.6272i	0.610089	+	1.87766i	0.153035	+	0.988221i	$0.451095\pi$
$728$	−0.701614	+	0.509752i	−0.0260035	+	0.0188927i
$729$	35.5633	−	25.8383i	1.31716	−	0.956973i
$730$	32.5707	−	9.09576i	1.20549	−	0.336649i
$731$	−4.77343	−	3.46810i	−0.176552	−	0.128272i
$732$	−38.9756			−1.44058
$733$	22.4567	+	16.3157i	0.829456	+	0.602635i	0.919405	−	0.393312i	$-0.128671\pi$
$733$	22.4567	+	16.3157i	0.829456	+	0.602635i	−0.0899497	+	0.995946i	$0.528671\pi$
$734$	7.17490	−	22.0821i	0.264830	−	0.815064i
$735$	5.99425	−	1.67397i	0.221101	−	0.0617453i
$736$	−0.344265	−	1.05954i	−0.0126898	−	0.0390551i
$737$	6.83140	−	21.0249i	0.251638	−	0.774461i
$738$	14.9973	−	46.1570i	0.552059	−	1.69906i
$739$	−1.81311	−	5.58019i	−0.0666965	−	0.205271i	0.912154	−	0.409848i	$-0.134418\pi$
$739$	−1.81311	−	5.58019i	−0.0666965	−	0.205271i	−0.978850	+	0.204577i	$0.934418\pi$
$740$	0.932300	−	22.2724i	0.0342720	−	0.818751i
$741$	0.963423	−	2.96511i	0.0353922	−	0.108926i
$742$	0.415801	+	0.302097i	0.0152645	+	0.0110903i
$743$	30.4936			1.11870			0.559350	−	0.828931i	$-0.311051\pi$
$743$	30.4936			1.11870			0.559350	+	0.828931i	$0.311051\pi$
$744$	16.1315	+	11.7202i	0.591411	+	0.429685i
$745$	24.9756	+	9.28681i	0.915034	+	0.340242i
$746$	−0.897100	+	0.651782i	−0.0328452	+	0.0238634i
$747$	−56.9946	+	41.4090i	−2.08532	+	1.51508i
$748$	4.80209	+	14.7793i	0.175582	+	0.540386i
$749$	3.79539			0.138681
$750$	−3.89518	+	30.8733i	−0.142232	+	1.12733i
$751$	−4.07108			−0.148556			−0.0742779	−	0.997238i	$-0.523665\pi$
$751$	−4.07108			−0.148556			−0.0742779	+	0.997238i	$0.523665\pi$
$752$	1.94382	+	5.98247i	0.0708839	+	0.218158i
$753$	10.0903	−	7.33101i	0.367710	−	0.267157i
$754$	−2.06409	+	1.49965i	−0.0751696	+	0.0546139i
$755$	−11.1070	−	4.12997i	−0.404224	−	0.150305i
$756$	−3.93297	−	2.85747i	−0.143041	−	0.103925i
$757$	−7.24630			−0.263371			−0.131686	−	0.991292i	$-0.542039\pi$
$757$	−7.24630			−0.263371			−0.131686	+	0.991292i	$0.542039\pi$
$758$	−26.9800	−	19.6021i	−0.979958	−	0.711981i
$759$	2.66152	−	8.19132i	0.0966072	−	0.297326i
$760$	−0.120790	+	2.88564i	−0.00438151	+	0.104673i
$761$	−10.5624	−	32.5077i	−0.382886	−	1.17840i	−0.938002	−	0.346629i	$-0.887326\pi$
$761$	−10.5624	−	32.5077i	−0.382886	−	1.17840i	0.555116	−	0.831773i	$-0.312674\pi$
$762$	−3.00956	+	9.26247i	−0.109025	+	0.335544i
$763$	−0.184739	+	0.568569i	−0.00668801	+	0.0205836i
$764$	−0.752902	−	2.31719i	−0.0272390	−	0.0838331i
$765$	−57.1917	+	15.9715i	−2.06777	+	0.577451i
$766$	−4.91794	+	15.1359i	−0.177693	+	0.546881i
$767$	−9.94024	−	7.22201i	−0.358921	−	0.260772i
$768$	−2.78328			−0.100433
$769$	40.3611	+	29.3241i	1.45546	+	1.05745i	0.984517	+	0.175288i	$0.0560857\pi$
$769$	40.3611	+	29.3241i	1.45546	+	1.05745i	0.470941	+	0.882164i	$0.343914\pi$
$770$	5.98217	−	1.67060i	0.215582	−	0.0602041i
$771$	42.3676	−	30.7819i	1.52583	−	1.10858i
$772$	15.2454	−	11.0764i	0.548695	−	0.398650i
$773$	12.2446	+	37.6850i	0.440408	+	1.35544i	0.887442	+	0.460919i	$0.152480\pi$
$773$	12.2446	+	37.6850i	0.440408	+	1.35544i	−0.447034	+	0.894517i	$0.647520\pi$
$774$	5.00602			0.179938
$775$	−8.18336	−	34.8732i	−0.293955	−	1.25268i
$776$	−17.7682			−0.637842
$777$	−8.57437	−	26.3892i	−0.307604	−	0.946707i
$778$	−23.1512	+	16.8203i	−0.830010	+	0.603038i
$779$	−10.6841	+	7.76247i	−0.382798	+	0.278119i
$780$	−2.98710	−	4.49543i	−0.106955	−	0.160962i
$781$	−8.19986	−	5.95755i	−0.293414	−	0.213178i
$782$	−6.23272			−0.222882
$783$	−11.5705	−	8.40643i	−0.413495	−	0.300421i
$784$	0.309017	−	0.951057i	0.0110363	−	0.0339663i
$785$	32.9357	+	12.2467i	1.17552	+	0.437102i
$786$	−14.1628	−	43.5886i	−0.505171	−	1.55476i
$787$	−13.5780	+	41.7888i	−0.484003	+	1.48961i	0.349417	+	0.936968i	$0.386380\pi$
$787$	−13.5780	+	41.7888i	−0.484003	+	1.48961i	−0.833420	+	0.552641i	$0.813620\pi$
$788$	2.25423	−	6.93781i	0.0803037	−	0.247149i
$789$	−12.5734	−	38.6970i	−0.447626	−	1.37765i
$790$	11.7610	+	17.6997i	0.418439	+	0.629728i
$791$	2.35958	−	7.26205i	0.0838971	−	0.258209i
$792$	−10.6666	−	7.74973i	−0.379021	−	0.275375i
$793$	−12.1444			−0.431260
$794$	6.61347	+	4.80497i	0.234703	+	0.170522i
$795$	−1.98671	+	2.50688i	−0.0704614	+	0.0889100i
$796$	−19.5601	+	14.2112i	−0.693288	+	0.503703i
$797$	−27.6532	+	20.0912i	−0.979528	+	0.711668i	−0.957603	−	0.288091i	$-0.906979\pi$
$797$	−27.6532	+	20.0912i	−0.979528	+	0.711668i	−0.0219246	+	0.999760i	$0.506979\pi$
$798$	1.11090	+	3.41901i	0.0393256	+	0.121032i
$799$	35.1918			1.24500
$800$	3.78532	+	3.26670i	0.133831	+	0.115495i
$801$	7.87643			0.278300
$802$	2.35402	+	7.24493i	0.0831234	+	0.255828i
$803$	33.9850	−	24.6915i	1.19930	−	0.871345i
$804$	17.9210	−	13.0203i	0.632023	−	0.459192i
$805$	−0.104184	+	2.48894i	−0.00367202	+	0.0877237i
$806$	5.02642	+	3.65191i	0.177048	+	0.128633i
$807$	−45.2243			−1.59197
$808$	−2.51545	−	1.82758i	−0.0884933	−	0.0642941i
$809$	11.7778	−	36.2485i	0.414087	−	1.27443i	−0.498978	−	0.866615i	$-0.666291\pi$
$809$	11.7778	−	36.2485i	0.414087	−	1.27443i	0.913065	−	0.407814i	$-0.133709\pi$
$810$	−0.985040	+	1.24295i	−0.0346108	+	0.0436727i
$811$	0.377897	+	1.16305i	0.0132697	+	0.0408401i	0.957472	−	0.288526i	$-0.0931651\pi$
$811$	0.377897	+	1.16305i	0.0132697	+	0.0408401i	−0.944202	+	0.329366i	$0.893165\pi$
$812$	0.909101	−	2.79793i	0.0319032	−	0.0981880i
$813$	1.86761	−	5.74790i	0.0654998	−	0.201588i
$814$	−8.55708	−	26.3360i	−0.299926	−	0.923076i
$815$	25.1889	−	31.7840i	0.882329	−	1.11334i
$816$	−4.81179	+	14.8092i	−0.168446	+	0.518425i
$817$	−1.10205	−	0.800685i	−0.0385558	−	0.0280124i
$818$	25.7290			0.899592
$819$	−3.33031	−	2.41962i	−0.116371	−	0.0845482i
$820$	−0.956173	+	22.8428i	−0.0333910	+	0.797704i
$821$	21.8825	−	15.8985i	0.763703	−	0.554863i	−0.136341	−	0.990662i	$-0.543534\pi$
$821$	21.8825	−	15.8985i	0.763703	−	0.554863i	0.900044	+	0.435799i	$0.143534\pi$
$822$	−24.7770	+	18.0016i	−0.864198	+	0.627877i
$823$	−3.11485	−	9.58651i	−0.108577	−	0.334165i	0.881977	−	0.471293i	$-0.156213\pi$
$823$	−3.11485	−	9.58651i	−0.108577	−	0.334165i	−0.990553	+	0.137129i	$0.956213\pi$
$824$	−9.19975			−0.320489
$825$	8.83096	+	37.6329i	0.307455	+	1.31021i
$826$	14.1677			0.492957
$827$	−5.94774	−	18.3053i	−0.206823	−	0.636536i	−0.999634	−	0.0270680i	$-0.991383\pi$
$827$	−5.94774	−	18.3053i	−0.206823	−	0.636536i	0.792810	−	0.609468i	$-0.208617\pi$
$828$	4.27814	−	3.10825i	0.148676	−	0.108019i
$829$	7.44000	−	5.40548i	0.258402	−	0.187740i	−0.451040	−	0.892504i	$-0.648947\pi$
$829$	7.44000	−	5.40548i	0.258402	−	0.187740i	0.709442	+	0.704764i	$0.248947\pi$
$830$	20.6129	−	26.0099i	0.715484	−	0.902816i
$831$	59.9070	+	43.5249i	2.07815	+	1.50986i
$832$	−0.867242			−0.0300662
$833$	−4.52611	−	3.28841i	−0.156820	−	0.113937i
$834$	−13.5368	+	41.6620i	−0.468741	+	1.44264i
$835$	3.93226	+	5.91784i	0.136081	+	0.204795i
$836$	1.10867	+	3.41212i	0.0383440	+	0.118011i
$837$	−10.7623	+	33.1231i	−0.372001	+	1.14490i
$838$	−5.68116	+	17.4848i	−0.196252	+	0.604003i
$839$	−8.08785	−	24.8918i	−0.279224	−	0.859362i	−0.988071	−	0.154000i	$-0.950784\pi$
$839$	−8.08785	−	24.8918i	−0.279224	−	0.859362i	0.708847	−	0.705362i	$-0.249216\pi$
$840$	5.83339	+	2.16906i	0.201271	+	0.0748398i
$841$	−6.28699	+	19.3494i	−0.216793	+	0.667220i
$842$	−19.1057	−	13.8811i	−0.658426	−	0.478375i
$843$	−34.5524			−1.19005
$844$	−6.95723	−	5.05472i	−0.239478	−	0.173991i
$845$	15.1570	+	22.8105i	0.521417	+	0.784705i
$846$	−24.1557	+	17.5501i	−0.830489	+	0.603385i
$847$	−2.65726	+	1.93061i	−0.0913044	+	0.0663365i
$848$	0.158822	+	0.488803i	0.00545396	+	0.0167856i
$849$	−30.7112			−1.05401
$850$	23.9255	−	14.4933i	0.820637	−	0.497115i
$851$	11.1064			0.380722
$852$	−3.13839	−	9.65898i	−0.107520	−	0.330911i
$853$	−13.0297	+	9.46660i	−0.446127	+	0.324130i	−0.788065	−	0.615592i	$-0.788917\pi$
$853$	−13.0297	+	9.46660i	−0.446127	+	0.324130i	0.341938	+	0.939723i	$0.388917\pi$
$854$	11.3290	−	8.23103i	0.387672	−	0.281660i
$855$	−13.2039	+	3.68736i	−0.451564	+	0.126105i
$856$	3.07054	+	2.23088i	0.104949	+	0.0762498i
$857$	−49.0690			−1.67617			−0.838083	−	0.545542i	$-0.816324\pi$
$857$	−49.0690			−1.67617			−0.838083	+	0.545542i	$0.816324\pi$
$858$	−5.42420	−	3.94091i	−0.185179	−	0.134540i
$859$	4.53628	−	13.9612i	0.154776	−	0.476351i	−0.843362	−	0.537345i	$-0.819427\pi$
$859$	4.53628	−	13.9612i	0.154776	−	0.476351i	0.998138	+	0.0609943i	$0.0194271\pi$
$860$	−2.27135	+	0.634303i	−0.0774523	+	0.0216295i
$861$	8.79393	+	27.0649i	0.299696	+	0.922371i
$862$	10.7896	−	33.2069i	0.367494	−	1.13103i
$863$	−1.33808	+	4.11819i	−0.0455488	+	0.140185i	−0.971245	−	0.238084i	$-0.923481\pi$
$863$	−1.33808	+	4.11819i	−0.0455488	+	0.140185i	0.925696	+	0.378269i	$0.123481\pi$
$864$	−1.50226	−	4.62349i	−0.0511080	−	0.157294i
$865$	−0.209606	+	5.00745i	−0.00712683	+	0.170258i
$866$	0.854542	−	2.63001i	0.0290385	−	0.0893714i
$867$	32.1981	+	23.3933i	1.09350	+	0.794478i
$868$	−7.16409			−0.243165
$869$	21.3566	+	15.5165i	0.724472	+	0.526360i
$870$	17.1613	+	6.38120i	0.581824	+	0.216343i
$871$	5.58399	−	4.05701i	0.189206	−	0.137466i
$872$	−0.483654	+	0.351395i	−0.0163786	+	0.0118997i
$873$	−26.0624	−	80.2117i	−0.882078	−	2.71476i
$874$	−1.43896			−0.0486734
$875$	−5.38774	−	9.79654i	−0.182139	−	0.331184i
$876$	42.0926			1.42218
$877$	10.4352	+	32.1162i	0.352371	+	1.08449i	0.957518	+	0.288372i	$0.0931141\pi$
$877$	10.4352	+	32.1162i	0.352371	+	1.08449i	−0.605147	+	0.796113i	$0.706886\pi$
$878$	−3.88359	+	2.82159i	−0.131065	+	0.0952241i
$879$	10.1767	−	7.39382i	0.343252	−	0.249387i
$880$	5.82163	+	2.16469i	0.196247	+	0.0729717i
$881$	8.37345	+	6.08367i	0.282109	+	0.204964i	0.719837	−	0.694143i	$-0.244217\pi$
$881$	8.37345	+	6.08367i	0.282109	+	0.204964i	−0.437728	+	0.899108i	$0.644217\pi$
$882$	4.74665			0.159828
$883$	15.4992	+	11.2608i	0.521590	+	0.378957i	0.817203	−	0.576351i	$-0.195524\pi$
$883$	15.4992	+	11.2608i	0.521590	+	0.378957i	−0.295612	+	0.955308i	$0.595524\pi$
$884$	−1.49931	+	4.61439i	−0.0504271	+	0.155199i
$885$	−3.68764	+	88.0969i	−0.123959	+	2.96135i
$886$	−2.23648	−	6.88319i	−0.0751361	−	0.231245i
$887$	−3.08495	+	9.49451i	−0.103583	+	0.318794i	−0.989395	−	0.145249i	$-0.953602\pi$
$887$	−3.08495	+	9.49451i	−0.103583	+	0.318794i	0.885813	+	0.464043i	$0.153602\pi$
$888$	8.57437	−	26.3892i	0.287737	−	0.885563i
$889$	−1.08130	−	3.32790i	−0.0362656	−	0.111614i
$890$	−3.57372	+	0.998006i	−0.119791	+	0.0334532i
$891$	−0.608788	+	1.87366i	−0.0203952	+	0.0627699i
$892$	11.3665	+	8.25825i	0.380579	+	0.276507i
$893$	8.12478			0.271885
$894$	26.8328	+	19.4952i	0.897423	+	0.652016i
$895$	−1.49566	+	0.417681i	−0.0499943	+	0.0139615i
$896$	0.809017	−	0.587785i	0.0270274	−	0.0196365i
$897$	2.17553	−	1.58062i	0.0726388	−	0.0527752i
$898$	−3.69659	−	11.3769i	−0.123357	−	0.379654i
$899$	−21.0761			−0.702929
$900$	−9.19467	+	21.8798i	−0.306489	+	0.729327i
$901$	2.87538			0.0957927
$902$	8.77621	+	27.0104i	0.292216	+	0.899347i
$903$	−2.37476	+	1.72537i	−0.0790272	+	0.0574166i
$904$	6.17747	−	4.48819i	0.205459	−	0.149275i
$905$	33.0543	+	49.7450i	1.09876	+	1.65358i
$906$	−11.9329	−	8.66977i	−0.396445	−	0.288034i
$907$	22.5826			0.749843			0.374921	−	0.927057i	$-0.377670\pi$
$907$	22.5826			0.749843			0.374921	+	0.927057i	$0.377670\pi$
$908$	5.44377	+	3.95513i	0.180658	+	0.131256i
$909$	4.56066	−	14.0363i	0.151268	−	0.465554i
$910$	1.81762	+	0.675858i	0.0602537	+	0.0224045i
$911$	−2.51718	−	7.74708i	−0.0833979	−	0.256672i	0.900659	−	0.434527i	$-0.143084\pi$
$911$	−2.51718	−	7.74708i	−0.0833979	−	0.256672i	−0.984057	+	0.177854i	$0.943084\pi$
$912$	−1.11090	+	3.41901i	−0.0367857	+	0.113215i
$913$	12.7395	−	39.2081i	0.421615	−	1.29760i
$914$	−6.09813	−	18.7681i	−0.201708	−	0.620794i
$915$	48.2331	+	72.5882i	1.59454	+	2.39969i
$916$	1.49605	−	4.60436i	0.0494308	−	0.152132i
$917$	13.3219	+	9.67896i	0.439929	+	0.319627i
$918$	−27.1976			−0.897655
$919$	−41.2595	−	29.9767i	−1.36102	−	0.988842i	−0.998379	−	0.0569141i	$-0.981874\pi$
$919$	−41.2595	−	29.9767i	−1.36102	−	0.988842i	−0.362645	−	0.931928i	$-0.618126\pi$
$920$	−1.54725	+	1.95236i	−0.0510114	+	0.0643674i
$921$	3.22962	−	2.34645i	0.106419	−	0.0773183i
$922$	24.4407	−	17.7572i	0.804913	−	0.584803i
$923$	−0.977892	−	3.00964i	−0.0321877	−	0.0990636i
$924$	7.73104			0.254332
$925$	−42.6340	+	25.8263i	−1.40180	+	0.849162i
$926$	−16.4329			−0.540019
$927$	−13.4942	−	41.5307i	−0.443206	−	1.36405i
$928$	2.38006	−	1.72921i	0.0781292	−	0.0567642i
$929$	−25.0439	+	18.1954i	−0.821663	+	0.596973i	−0.917188	−	0.398454i	$-0.869547\pi$
$929$	−25.0439	+	18.1954i	−0.821663	+	0.596973i	0.0955253	+	0.995427i	$0.469547\pi$
$930$	1.86471	−	44.5475i	0.0611462	−	1.46077i
$931$	−1.04495	−	0.759200i	−0.0342468	−	0.0248818i
$932$	−12.7263			−0.416863
$933$	−27.1794	−	19.7470i	−0.889815	−	0.646488i
$934$	12.9676	−	39.9101i	0.424313	−	1.30590i
$935$	21.5824	−	27.2331i	0.705819	−	0.890619i
$936$	−1.27207	−	3.91502i	−0.0415788	−	0.127966i
$937$	−1.41759	+	4.36291i	−0.0463108	+	0.142530i	−0.971538	−	0.236883i	$-0.923874\pi$
$937$	−1.41759	+	4.36291i	−0.0463108	+	0.142530i	0.925227	+	0.379413i	$0.123874\pi$
$938$	−2.45940	+	7.56925i	−0.0803022	+	0.247145i
$939$	−21.9988	−	67.7054i	−0.717904	−	2.20948i
$940$	8.73624	−	11.0236i	0.284945	−	0.359550i
$941$	6.74882	−	20.7707i	0.220005	−	0.677106i	−0.778755	−	0.627328i	$-0.784149\pi$
$941$	6.74882	−	20.7707i	0.220005	−	0.677106i	0.998760	−	0.0497783i	$-0.0158515\pi$
$942$	35.3848	+	25.7086i	1.15290	+	0.837631i
$943$	−11.3908			−0.370935
$944$	11.4619	+	8.32756i	0.373053	+	0.271039i
$945$	−0.454628	+	10.8610i	−0.0147890	+	0.353307i
$946$	−2.36998	+	1.72189i	−0.0770546	+	0.0559834i
$947$	−7.15400	+	5.19769i	−0.232474	+	0.168902i	−0.697924	−	0.716172i	$-0.745893\pi$
$947$	−7.15400	+	5.19769i	−0.232474	+	0.168902i	0.465450	+	0.885074i	$0.345893\pi$
$948$	8.17396	+	25.1569i	0.265478	+	0.817057i
$949$	13.1156			0.425751
$950$	5.52370	−	3.34608i	0.179213	−	0.108561i
$951$	−58.7412			−1.90482
$952$	−1.72882	−	5.32076i	−0.0560314	−	0.172447i
$953$	−7.36910	+	5.35397i	−0.238709	+	0.173432i	−0.700708	−	0.713448i	$-0.747132\pi$
$953$	−7.36910	+	5.35397i	−0.238709	+	0.173432i	0.461999	+	0.886880i	$0.347132\pi$
$954$	−1.97366	+	1.43395i	−0.0638996	+	0.0464258i
$955$	−3.38382	+	4.26978i	−0.109498	+	0.138167i
$956$	−5.79660	−	4.21148i	−0.187476	−	0.136209i
$957$	22.7440			0.735210
$958$	7.63143	+	5.54456i	0.246560	+	0.179137i
$959$	3.40030	−	10.4650i	0.109801	−	0.337934i
$960$	3.44437	+	5.18359i	0.111166	+	0.167300i
$961$	6.28052	+	19.3294i	0.202597	+	0.623531i
$962$	2.67169	−	8.22260i	0.0861386	−	0.265107i
$963$	−5.56707	+	17.1337i	−0.179396	+	0.552125i
$964$	5.24470	+	16.1415i	0.168920	+	0.519883i
$965$	−39.4953	−	14.6858i	−1.27140	−	0.472752i
$966$	−0.958185	+	2.94899i	−0.0308291	+	0.0948822i
$967$	−18.8388	−	13.6872i	−0.605816	−	0.440151i	0.242123	−	0.970246i	$-0.422156\pi$
$967$	−18.8388	−	13.6872i	−0.605816	−	0.440151i	−0.847938	+	0.530095i	$0.822156\pi$
$968$	−3.28455			−0.105569
$969$	16.2712	+	11.8217i	0.522706	+	0.379768i
$970$	21.9886	+	33.0916i	0.706010	+	1.06251i
$971$	6.36227	−	4.62246i	0.204175	−	0.148342i	−0.480999	−	0.876721i	$-0.659726\pi$
$971$	6.36227	−	4.62246i	0.204175	−	0.148342i	0.685174	+	0.728379i	$0.259726\pi$
$972$	−13.3960	+	9.73274i	−0.429676	+	0.312178i
$973$	−4.86361	−	14.9687i	−0.155920	−	0.479873i
$974$	−20.4527			−0.655348
$975$	−4.67569	+	11.1264i	−0.149742	+	0.356329i
$976$	14.0035			0.448240
$977$	−15.7217	−	48.3865i	−0.502982	−	1.54802i	−0.804136	−	0.594445i	$-0.797372\pi$
$977$	−15.7217	−	48.3865i	−0.502982	−	1.54802i	0.301154	−	0.953576i	$-0.402628\pi$
$978$	40.8389	−	29.6712i	1.30588	−	0.948779i
$979$	−3.72890	+	2.70920i	−0.119176	+	0.0865865i
$980$	−2.15366	+	0.601438i	−0.0687963	+	0.0192122i
$981$	−2.29574	−	1.66795i	−0.0732972	−	0.0532535i
$982$	−23.4186			−0.747318
$983$	−17.2726	−	12.5493i	−0.550910	−	0.400260i	0.277211	−	0.960809i	$-0.410590\pi$
$983$	−17.2726	−	12.5493i	−0.550910	−	0.400260i	−0.828121	+	0.560549i	$0.810590\pi$
$984$	−8.79393	+	27.0649i	−0.280340	+	0.862799i
$985$	−15.7107	+	4.38740i	−0.500583	+	0.139794i
$986$	−5.08604	−	15.6532i	−0.161973	−	0.498500i
$987$	5.41020	−	16.6509i	0.172209	−	0.530004i
$988$	−0.346147	+	1.06533i	−0.0110124	+	0.0338927i
$989$	−0.363077	−	1.11743i	−0.0115452	−	0.0355324i
$990$	−1.23299	+	29.4559i	−0.0391871	+	0.936171i
$991$	−8.43240	+	25.9523i	−0.267864	+	0.824401i	0.723156	+	0.690685i	$0.242691\pi$
$991$	−8.43240	+	25.9523i	−0.267864	+	0.824401i	−0.991020	+	0.133716i	$0.957309\pi$
$992$	−5.79587	−	4.21095i	−0.184019	−	0.133698i
$993$	91.3199			2.89795
$994$	2.95206	+	2.14480i	0.0936338	+	0.0680289i
$995$	50.6730	+	18.8420i	1.60644	+	0.597332i
$996$	33.4198	−	24.2809i	1.05895	−	0.769369i
$997$	23.2880	−	16.9197i	0.737537	−	0.535852i	−0.154402	−	0.988008i	$-0.549345\pi$
$997$	23.2880	−	16.9197i	0.737537	−	0.535852i	0.891939	+	0.452156i	$0.149345\pi$
$998$	−0.702813	−	2.16304i	−0.0222472	−	0.0684697i
$999$	48.4647			1.53336

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.h.c.281.4	yes	16
25.11	even	5		8750.2.a.u.1.1		8
25.14	even	10		8750.2.a.s.1.8		8
25.21	even	5	inner	350.2.h.c.71.4	✓	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.h.c.71.4	✓	16	25.21	even	5	inner
350.2.h.c.281.4	yes	16	1.1	even	1	trivial
8750.2.a.s.1.8		8	25.14	even	10
8750.2.a.u.1.1		8	25.11	even	5

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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(2.25172 - 1.63597i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(2.09587 + 0.779319i) q^{5} +(2.25172 + 1.63597i) q^{6} -1.00000 q^{7} +(-0.809017 - 0.587785i) q^{8} +(1.46680 - 4.51433i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(2.25172 - 1.63597i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(2.09587 + 0.779319i) q^{5} +(2.25172 + 1.63597i) q^{6} -1.00000 q^{7} +(-0.809017 - 0.587785i) q^{8} +(1.46680 - 4.51433i) q^{9} +(-0.0935175 + 2.23411i) q^{10} +(0.858347 + 2.64172i) q^{11} +(-0.860081 + 2.64706i) q^{12} +(-0.267993 + 0.824796i) q^{13} +(-0.309017 - 0.951057i) q^{14} +(5.99425 - 1.67397i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-4.52611 - 3.28841i) q^{17} +4.74665 q^{18} +(-1.04495 - 0.759200i) q^{19} +(-2.15366 + 0.601438i) q^{20} +(-2.25172 + 1.63597i) q^{21} +(-2.24718 + 1.63267i) q^{22} +(-0.344265 - 1.05954i) q^{23} -2.78328 q^{24} +(3.78532 + 3.26670i) q^{25} -0.867242 q^{26} +(-1.50226 - 4.62349i) q^{27} +(0.809017 - 0.587785i) q^{28} +(2.38006 - 1.72921i) q^{29} +(3.44437 + 5.18359i) q^{30} +(-5.79587 - 4.21095i) q^{31} +1.00000 q^{32} +(6.25454 + 4.54419i) q^{33} +(1.72882 - 5.32076i) q^{34} +(-2.09587 - 0.779319i) q^{35} +(1.46680 + 4.51433i) q^{36} +(-3.08067 + 9.48132i) q^{37} +(0.399135 - 1.22841i) q^{38} +(0.745898 + 2.29564i) q^{39} +(-1.23752 - 1.86240i) q^{40} +(3.15956 - 9.72411i) q^{41} +(-2.25172 - 1.63597i) q^{42} +1.05464 q^{43} +(-2.24718 - 1.63267i) q^{44} +(6.59232 - 8.31834i) q^{45} +(0.901297 - 0.654830i) q^{46} +(-5.08899 + 3.69737i) q^{47} +(-0.860081 - 2.64706i) q^{48} +1.00000 q^{49} +(-1.93709 + 4.60952i) q^{50} -15.5713 q^{51} +(-0.267993 - 0.824796i) q^{52} +(-0.415801 + 0.302097i) q^{53} +(3.93297 - 2.85747i) q^{54} +(-0.259761 + 6.20562i) q^{55} +(0.809017 + 0.587785i) q^{56} -3.59496 q^{57} +(2.38006 + 1.72921i) q^{58} +(-4.37806 + 13.4743i) q^{59} +(-3.86552 + 4.87760i) q^{60} +(4.32731 + 13.3181i) q^{61} +(2.21383 - 6.81345i) q^{62} +(-1.46680 + 4.51433i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-1.20446 + 1.51981i) q^{65} +(-2.38902 + 7.35265i) q^{66} +(-6.43879 - 4.67805i) q^{67} +5.59458 q^{68} +(-2.50856 - 1.82258i) q^{69} +(0.0935175 - 2.23411i) q^{70} +(-2.95206 + 2.14480i) q^{71} +(-3.84012 + 2.79001i) q^{72} +(-4.67338 - 14.3832i) q^{73} -9.96925 q^{74} +(13.8677 + 1.16301i) q^{75} +1.29163 q^{76} +(-0.858347 - 2.64172i) q^{77} +(-1.95279 + 1.41878i) q^{78} +(7.68866 - 5.58614i) q^{79} +(1.38884 - 1.75247i) q^{80} +(0.573801 + 0.416891i) q^{81} +10.2245 q^{82} +(-12.0073 - 8.72383i) q^{83} +(0.860081 - 2.64706i) q^{84} +(-6.92341 - 10.4194i) q^{85} +(0.325903 + 1.00303i) q^{86} +(2.53028 - 7.78741i) q^{87} +(0.858347 - 2.64172i) q^{88} +(0.512772 + 1.57815i) q^{89} +(9.94835 + 3.69915i) q^{90} +(0.267993 - 0.824796i) q^{91} +(0.901297 + 0.654830i) q^{92} -19.9397 q^{93} +(-5.08899 - 3.69737i) q^{94} +(-1.59842 - 2.40553i) q^{95} +(2.25172 - 1.63597i) q^{96} +(14.3748 - 10.4439i) q^{97} +(0.309017 + 0.951057i) q^{98} +13.1846 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 4 q^{2} + q^{3} - 4 q^{4} - 4 q^{5} + q^{6} - 16 q^{7} - 4 q^{8} - q^{9}+O(q^{10}) \) 16 * q - 4 * q^2 + q^3 - 4 * q^4 - 4 * q^5 + q^6 - 16 * q^7 - 4 * q^8 - q^9	\( 16 q - 4 q^{2} + q^{3} - 4 q^{4} - 4 q^{5} + q^{6} - 16 q^{7} - 4 q^{8} - q^{9} + q^{10} + 7 q^{11} - 4 q^{12} + 9 q^{13} + 4 q^{14} - 4 q^{16} - 2 q^{17} + 14 q^{18} - 24 q^{19} - 9 q^{20} - q^{21} - 8 q^{22} - 5 q^{23} + 6 q^{24} - 6 q^{25} - 6 q^{26} - 32 q^{27} + 4 q^{28} + 20 q^{29} + 15 q^{30} + 7 q^{31} + 16 q^{32} + 15 q^{33} + 3 q^{34} + 4 q^{35} - q^{36} - 6 q^{37} + 6 q^{38} + 34 q^{39} + 11 q^{40} + 9 q^{41} - q^{42} - 22 q^{43} - 8 q^{44} - 8 q^{45} - 40 q^{47} - 4 q^{48} + 16 q^{49} - q^{50} + 14 q^{51} + 9 q^{52} - 24 q^{53} + 23 q^{54} - 26 q^{55} + 4 q^{56} + 52 q^{57} + 20 q^{58} - 17 q^{59} - 5 q^{60} + 2 q^{61} - 23 q^{62} + q^{63} - 4 q^{64} - 16 q^{65} - 10 q^{66} - 14 q^{67} - 2 q^{68} - 35 q^{69} - q^{70} + 7 q^{71} - 6 q^{72} + 5 q^{73} - 36 q^{74} + 35 q^{75} + 36 q^{76} - 7 q^{77} - 46 q^{78} + 20 q^{79} + q^{80} + 49 q^{81} + 44 q^{82} + 17 q^{83} + 4 q^{84} - 13 q^{85} + 8 q^{86} - 66 q^{87} + 7 q^{88} + 27 q^{89} + 37 q^{90} - 9 q^{91} - 34 q^{93} - 40 q^{94} - 20 q^{95} + q^{96} + 6 q^{97} - 4 q^{98} - 16 q^{99}+O(q^{100}) \) 16 * q - 4 * q^2 + q^3 - 4 * q^4 - 4 * q^5 + q^6 - 16 * q^7 - 4 * q^8 - q^9 + q^10 + 7 * q^11 - 4 * q^12 + 9 * q^13 + 4 * q^14 - 4 * q^16 - 2 * q^17 + 14 * q^18 - 24 * q^19 - 9 * q^20 - q^21 - 8 * q^22 - 5 * q^23 + 6 * q^24 - 6 * q^25 - 6 * q^26 - 32 * q^27 + 4 * q^28 + 20 * q^29 + 15 * q^30 + 7 * q^31 + 16 * q^32 + 15 * q^33 + 3 * q^34 + 4 * q^35 - q^36 - 6 * q^37 + 6 * q^38 + 34 * q^39 + 11 * q^40 + 9 * q^41 - q^42 - 22 * q^43 - 8 * q^44 - 8 * q^45 - 40 * q^47 - 4 * q^48 + 16 * q^49 - q^50 + 14 * q^51 + 9 * q^52 - 24 * q^53 + 23 * q^54 - 26 * q^55 + 4 * q^56 + 52 * q^57 + 20 * q^58 - 17 * q^59 - 5 * q^60 + 2 * q^61 - 23 * q^62 + q^63 - 4 * q^64 - 16 * q^65 - 10 * q^66 - 14 * q^67 - 2 * q^68 - 35 * q^69 - q^70 + 7 * q^71 - 6 * q^72 + 5 * q^73 - 36 * q^74 + 35 * q^75 + 36 * q^76 - 7 * q^77 - 46 * q^78 + 20 * q^79 + q^80 + 49 * q^81 + 44 * q^82 + 17 * q^83 + 4 * q^84 - 13 * q^85 + 8 * q^86 - 66 * q^87 + 7 * q^88 + 27 * q^89 + 37 * q^90 - 9 * q^91 - 34 * q^93 - 40 * q^94 - 20 * q^95 + q^96 + 6 * q^97 - 4 * q^98 - 16 * q^99

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