LMFDB - Embedded newform 256.2.m.a.101.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [256,2,Mod(5,256)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(256, base_ring=CyclotomicField(64))

chi = DirichletCharacter(H, H._module([0, 1]))

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

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

chi := DirichletCharacter("256.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 256 = 2^{8} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	256.m (of order $64$, degree $32$, 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:	$2.04417029174$
Analytic rank:	$0$
Dimension:	$992$
Relative dimension:	$31$ over $\Q(\zeta_{64})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{64}]$

Embedding invariants

Embedding label			101.6
Character	$\chi$	$=$	256.101
Dual form			256.2.m.a.109.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.26266 - 0.636928i) q^{2} +(2.73753 - 0.685715i) q^{3} +(1.18865 + 1.60845i) q^{4} +(-2.01734 - 0.954131i) q^{5} +(-3.89333 - 0.877780i) q^{6} +(1.40859 + 4.64350i) q^{7} +(-0.476391 - 2.78802i) q^{8} +(4.37809 - 2.34014i) q^{9} +O(q^{10})$	\(q+(-1.26266 - 0.636928i) q^{2} +(2.73753 - 0.685715i) q^{3} +(1.18865 + 1.60845i) q^{4} +(-2.01734 - 0.954131i) q^{5} +(-3.89333 - 0.877780i) q^{6} +(1.40859 + 4.64350i) q^{7} +(-0.476391 - 2.78802i) q^{8} +(4.37809 - 2.34014i) q^{9} +(1.93951 + 2.48965i) q^{10} +(4.26779 - 0.633066i) q^{11} +(4.35689 + 3.58812i) q^{12} +(1.56823 - 4.38290i) q^{13} +(1.17900 - 6.76035i) q^{14} +(-6.17679 - 1.22864i) q^{15} +(-1.17425 + 3.82376i) q^{16} +(-2.34835 + 0.467116i) q^{17} +(-7.01857 + 0.166282i) q^{18} +(1.68873 + 1.53057i) q^{19} +(-0.863226 - 4.37892i) q^{20} +(7.04017 + 11.7458i) q^{21} +(-5.79200 - 1.91892i) q^{22} +(-4.18439 + 0.412126i) q^{23} +(-3.21592 - 7.30561i) q^{24} +(-0.0126730 - 0.0154421i) q^{25} +(-4.77173 + 4.53528i) q^{26} +(4.10737 - 3.72270i) q^{27} +(-5.79454 + 7.78512i) q^{28} +(-2.22040 - 2.99386i) q^{29} +(7.01666 + 5.48553i) q^{30} +(-2.60333 - 1.07833i) q^{31} +(3.91814 - 4.08022i) q^{32} +(11.2491 - 4.65952i) q^{33} +(3.26270 + 0.905919i) q^{34} +(1.58890 - 10.7115i) q^{35} +(8.96801 + 4.26036i) q^{36} +(-0.0217822 + 0.443386i) q^{37} +(-1.15743 - 3.00820i) q^{38} +(1.28764 - 13.0737i) q^{39} +(-1.69909 + 6.07892i) q^{40} +(-1.25195 + 1.52550i) q^{41} +(-1.40814 - 19.3151i) q^{42} +(-0.294886 + 1.17725i) q^{43} +(6.09114 + 6.11204i) q^{44} +(-11.0649 + 0.543584i) q^{45} +(5.54598 + 2.14478i) q^{46} +(7.81364 + 5.22091i) q^{47} +(-0.592519 + 11.2729i) q^{48} +(-13.7577 + 9.19257i) q^{49} +(0.00616624 + 0.0275699i) q^{50} +(-6.10836 + 2.88904i) q^{51} +(8.91375 - 2.68729i) q^{52} +(-7.94468 + 10.7122i) q^{53} +(-7.55732 + 2.08443i) q^{54} +(-9.21360 - 2.79492i) q^{55} +(12.2751 - 6.13930i) q^{56} +(5.67248 + 3.03200i) q^{57} +(0.896744 + 5.19447i) q^{58} +(-1.75736 - 4.91150i) q^{59} +(-5.36580 - 11.3955i) q^{60} +(-0.0389473 + 0.0649797i) q^{61} +(2.60031 + 3.01970i) q^{62} +(17.0334 + 17.0334i) q^{63} +(-7.54610 + 2.65638i) q^{64} +(-7.34550 + 7.34550i) q^{65} +(-17.1716 - 1.28144i) q^{66} +(-7.39731 - 4.43378i) q^{67} +(-3.54269 - 3.22197i) q^{68} +(-11.1723 + 3.99751i) q^{69} +(-8.82869 + 12.5130i) q^{70} +(2.73465 - 5.11618i) q^{71} +(-8.61004 - 11.0914i) q^{72} +(3.39446 - 11.1900i) q^{73} +(0.309909 - 0.545975i) q^{74} +(-0.0452815 - 0.0335830i) q^{75} +(-0.454558 + 4.53555i) q^{76} +(8.95120 + 18.9257i) q^{77} +(-9.95285 + 15.6875i) q^{78} +(1.40438 + 2.10180i) q^{79} +(6.01722 - 6.59344i) q^{80} +(0.417321 - 0.624565i) q^{81} +(2.55243 - 1.12880i) q^{82} +(0.0674618 + 1.37322i) q^{83} +(-10.5243 + 25.2854i) q^{84} +(5.18311 + 1.29830i) q^{85} +(1.12217 - 1.29865i) q^{86} +(-8.13133 - 6.67321i) q^{87} +(-3.79814 - 11.5971i) q^{88} +(-3.87152 - 0.381311i) q^{89} +(14.3175 + 6.36118i) q^{90} +(22.5610 + 1.10835i) q^{91} +(-5.63664 - 6.24052i) q^{92} +(-7.86611 - 1.16683i) q^{93} +(-6.54067 - 11.5690i) q^{94} +(-1.94637 - 4.69895i) q^{95} +(7.92815 - 13.8564i) q^{96} +(-5.33775 + 12.8865i) q^{97} +(23.2263 - 2.84450i) q^{98} +(17.2033 - 12.7588i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9}+O(q^{10}) $ 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{10} - 32 q^{11} - 32 q^{12} - 32 q^{13} - 32 q^{14} - 32 q^{15} - 32 q^{16} - 32 q^{17} - 32 q^{18} - 32 q^{19} - 32 q^{20} - 32 q^{21} - 32 q^{22} - 32 q^{23} - 32 q^{24} - 32 q^{25} - 32 q^{26} - 32 q^{27} - 32 q^{28} - 32 q^{29} - 32 q^{30} - 32 q^{31} - 32 q^{32} - 32 q^{33} - 32 q^{34} - 32 q^{35} - 32 q^{36} - 32 q^{37} - 32 q^{38} - 32 q^{39} - 32 q^{40} - 32 q^{41} - 32 q^{42} - 32 q^{43} - 32 q^{44} - 32 q^{45} - 32 q^{46} - 32 q^{47} - 32 q^{48} - 32 q^{49} - 32 q^{50} - 32 q^{51} - 32 q^{52} - 32 q^{53} - 32 q^{54} - 32 q^{55} - 32 q^{56} - 32 q^{57} - 32 q^{58} - 32 q^{59} - 32 q^{60} - 32 q^{61} - 32 q^{62} - 32 q^{63} - 32 q^{64} - 32 q^{65} - 32 q^{66} - 32 q^{67} - 32 q^{68} - 32 q^{69} - 32 q^{70} - 32 q^{71} - 32 q^{72} - 32 q^{73} - 32 q^{74} - 32 q^{75} - 32 q^{76} - 32 q^{77} - 32 q^{78} - 32 q^{79} - 32 q^{80} - 32 q^{81} - 32 q^{82} - 32 q^{83} - 32 q^{84} - 32 q^{85} - 32 q^{86} - 32 q^{87} - 32 q^{88} - 32 q^{89} - 32 q^{90} - 32 q^{91} - 32 q^{92} - 32 q^{93} - 32 q^{94} - 32 q^{95} - 32 q^{96} - 32 q^{97} - 32 q^{98} - 32 q^{99}+O(q^{100}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9 - 32 * q^10 - 32 * q^11 - 32 * q^12 - 32 * q^13 - 32 * q^14 - 32 * q^15 - 32 * q^16 - 32 * q^17 - 32 * q^18 - 32 * q^19 - 32 * q^20 - 32 * q^21 - 32 * q^22 - 32 * q^23 - 32 * q^24 - 32 * q^25 - 32 * q^26 - 32 * q^27 - 32 * q^28 - 32 * q^29 - 32 * q^30 - 32 * q^31 - 32 * q^32 - 32 * q^33 - 32 * q^34 - 32 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^38 - 32 * q^39 - 32 * q^40 - 32 * q^41 - 32 * q^42 - 32 * q^43 - 32 * q^44 - 32 * q^45 - 32 * q^46 - 32 * q^47 - 32 * q^48 - 32 * q^49 - 32 * q^50 - 32 * q^51 - 32 * q^52 - 32 * q^53 - 32 * q^54 - 32 * q^55 - 32 * q^56 - 32 * q^57 - 32 * q^58 - 32 * q^59 - 32 * q^60 - 32 * q^61 - 32 * q^62 - 32 * q^63 - 32 * q^64 - 32 * q^65 - 32 * q^66 - 32 * q^67 - 32 * q^68 - 32 * q^69 - 32 * q^70 - 32 * q^71 - 32 * q^72 - 32 * q^73 - 32 * q^74 - 32 * q^75 - 32 * q^76 - 32 * q^77 - 32 * q^78 - 32 * q^79 - 32 * q^80 - 32 * q^81 - 32 * q^82 - 32 * q^83 - 32 * q^84 - 32 * q^85 - 32 * q^86 - 32 * q^87 - 32 * q^88 - 32 * q^89 - 32 * q^90 - 32 * q^91 - 32 * q^92 - 32 * q^93 - 32 * q^94 - 32 * q^95 - 32 * q^96 - 32 * q^97 - 32 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/256\mathbb{Z}\right)^\times$.

$n$	$5$	$255$
$\chi(n)$	$e\left(\frac{9}{64}\right)$	$1$

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 $

$2$	−1.26266	−	0.636928i	−0.892839	−	0.450376i
$2$	−1.26266	−	0.636928i	−0.892839	−	0.450376i
$3$	2.73753	−	0.685715i	1.58051	−	0.395898i	0.649347	−	0.760493i	$-0.275042\pi$
$3$	2.73753	−	0.685715i	1.58051	−	0.395898i	0.931166	+	0.364595i	$0.118792\pi$
$4$	1.18865	+	1.60845i	0.594323	+	0.804227i
$5$	−2.01734	−	0.954131i	−0.902182	−	0.426700i	−0.0805708	−	0.996749i	$-0.525674\pi$
$5$	−2.01734	−	0.954131i	−0.902182	−	0.426700i	−0.821611	+	0.570049i	$0.806924\pi$
$6$	−3.89333	−	0.877780i	−1.58945	−	0.358352i
$7$	1.40859	+	4.64350i	0.532397	+	1.75508i	0.647854	+	0.761764i	$0.275667\pi$
$7$	1.40859	+	4.64350i	0.532397	+	1.75508i	−0.115457	+	0.993312i	$0.536833\pi$
$8$	−0.476391	−	2.78802i	−0.168430	−	0.985714i
$9$	4.37809	−	2.34014i	1.45936	−	0.780047i
$10$	1.93951	+	2.48965i	0.613327	+	0.787296i
$11$	4.26779	−	0.633066i	1.28679	−	0.190877i	0.531942	−	0.846781i	$-0.321463\pi$
$11$	4.26779	−	0.633066i	1.28679	−	0.190877i	0.754844	+	0.655904i	$0.227713\pi$
$12$	4.35689	+	3.58812i	1.25773	+	1.03580i
$13$	1.56823	−	4.38290i	0.434948	−	1.21560i	−0.501613	−	0.865092i	$-0.667260\pi$
$13$	1.56823	−	4.38290i	0.434948	−	1.21560i	0.936561	−	0.350505i	$-0.113990\pi$
$14$	1.17900	−	6.76035i	0.315100	−	1.80678i
$15$	−6.17679	−	1.22864i	−1.59484	−	0.317233i
$16$	−1.17425	+	3.82376i	−0.293561	+	0.955940i
$17$	−2.34835	+	0.467116i	−0.569558	+	0.113292i	−0.471465	−	0.881885i	$-0.656274\pi$
$17$	−2.34835	+	0.467116i	−0.569558	+	0.113292i	−0.0980936	+	0.995177i	$0.531274\pi$
$18$	−7.01857	+	0.166282i	−1.65429	+	0.0391929i
$19$	1.68873	+	1.53057i	0.387420	+	0.351137i	0.841913	−	0.539613i	$-0.181429\pi$
$19$	1.68873	+	1.53057i	0.387420	+	0.351137i	−0.454493	+	0.890750i	$0.650179\pi$
$20$	−0.863226	−	4.37892i	−0.193023	−	0.979156i
$21$	7.04017	+	11.7458i	1.53629	+	2.56315i
$22$	−5.79200	−	1.91892i	−1.23486	−	0.409116i
$23$	−4.18439	+	0.412126i	−0.872505	+	0.0859343i	−0.524350	−	0.851503i	$-0.675692\pi$
$23$	−4.18439	+	0.412126i	−0.872505	+	0.0859343i	−0.348155	+	0.937437i	$0.613192\pi$
$24$	−3.21592	−	7.30561i	−0.656447	−	1.49125i
$25$	−0.0126730	−	0.0154421i	−0.00253460	−	0.00308841i
$26$	−4.77173	+	4.53528i	−0.935814	+	0.889442i
$27$	4.10737	−	3.72270i	0.790463	−	0.716434i
$28$	−5.79454	+	7.78512i	−1.09506	+	1.47125i
$29$	−2.22040	−	2.99386i	−0.412317	−	0.555945i	0.547415	−	0.836861i	$-0.315612\pi$
$29$	−2.22040	−	2.99386i	−0.412317	−	0.555945i	−0.959732	+	0.280916i	$0.909362\pi$
$30$	7.01666	+	5.48553i	1.28106	+	1.00152i
$31$	−2.60333	−	1.07833i	−0.467571	−	0.193674i	0.136443	−	0.990648i	$-0.456433\pi$
$31$	−2.60333	−	1.07833i	−0.467571	−	0.193674i	−0.604014	+	0.796974i	$0.706433\pi$
$32$	3.91814	−	4.08022i	0.692636	−	0.721288i
$33$	11.2491	−	4.65952i	1.95821	−	0.811119i
$34$	3.26270	+	0.905919i	0.559548	+	0.155364i
$35$	1.58890	−	10.7115i	0.268573	−	1.81057i
$36$	8.96801	+	4.26036i	1.49467	+	0.710061i
$37$	−0.0217822	+	0.443386i	−0.00358097	+	0.0728923i	−0.999921	−	0.0125889i	$-0.995993\pi$
$37$	−0.0217822	+	0.443386i	−0.00358097	+	0.0728923i	0.996340	+	0.0854811i	$0.0272427\pi$
$38$	−1.15743	−	3.00820i	−0.187760	−	0.487994i
$39$	1.28764	−	13.0737i	0.206188	−	2.09346i
$40$	−1.69909	+	6.07892i	−0.268650	+	0.961162i
$41$	−1.25195	+	1.52550i	−0.195522	+	0.238244i	−0.861538	−	0.507694i	$-0.830498\pi$
$41$	−1.25195	+	1.52550i	−0.195522	+	0.238244i	0.666016	+	0.745937i	$0.267998\pi$
$42$	−1.40814	−	19.3151i	−0.217280	−	2.98039i
$43$	−0.294886	+	1.17725i	−0.0449697	+	0.179529i	−0.988354	−	0.152173i	$-0.951373\pi$
$43$	−0.294886	+	1.17725i	−0.0449697	+	0.179529i	0.943384	+	0.331702i	$0.107623\pi$
$44$	6.09114	+	6.11204i	0.918274	+	0.921425i
$45$	−11.0649	+	0.543584i	−1.64946	+	0.0810327i
$46$	5.54598	+	2.14478i	0.817710	+	0.316230i
$47$	7.81364	+	5.22091i	1.13974	+	0.761548i	0.974429	−	0.224694i	$-0.0721383\pi$
$47$	7.81364	+	5.22091i	1.13974	+	0.761548i	0.165308	+	0.986242i	$0.447138\pi$
$48$	−0.592519	+	11.2729i	−0.0855227	+	1.62710i
$49$	−13.7577	+	9.19257i	−1.96538	+	1.31322i
$50$	0.00616624	+	0.0275699i	0.000872038	+	0.00389898i
$51$	−6.10836	+	2.88904i	−0.855342	+	0.404547i
$52$	8.91375	−	2.68729i	1.23611	−	0.372660i
$53$	−7.94468	+	10.7122i	−1.09129	+	1.47143i	−0.223359	+	0.974736i	$0.571702\pi$
$53$	−7.94468	+	10.7122i	−1.09129	+	1.47143i	−0.867927	+	0.496692i	$0.834548\pi$
$54$	−7.55732	+	2.08443i	−1.02842	+	0.283654i
$55$	−9.21360	−	2.79492i	−1.24236	−	0.376866i
$56$	12.2751	−	6.13930i	1.64033	−	0.820398i
$57$	5.67248	+	3.03200i	0.751338	+	0.401598i
$58$	0.896744	+	5.19447i	0.117748	+	0.682068i
$59$	−1.75736	−	4.91150i	−0.228789	−	0.639423i	−0.999996	−	0.00283827i	$-0.999097\pi$
$59$	−1.75736	−	4.91150i	−0.228789	−	0.639423i	0.771207	−	0.636585i	$-0.219653\pi$
$60$	−5.36580	−	11.3955i	−0.692722	−	1.47115i
$61$	−0.0389473	+	0.0649797i	−0.00498669	+	0.00831979i	−0.860212	−	0.509937i	$-0.829669\pi$
$61$	−0.0389473	+	0.0649797i	−0.00498669	+	0.00831979i	0.855225	+	0.518257i	$0.173419\pi$
$62$	2.60031	+	3.01970i	0.330239	+	0.383503i
$63$	17.0334	+	17.0334i	2.14600	+	2.14600i
$64$	−7.54610	+	2.65638i	−0.943263	+	0.332047i
$65$	−7.34550	+	7.34550i	−0.911097	+	0.911097i
$66$	−17.1716	−	1.28144i	−2.11368	−	0.157735i
$67$	−7.39731	−	4.43378i	−0.903725	−	0.541672i	−0.0148849	−	0.999889i	$-0.504738\pi$
$67$	−7.39731	−	4.43378i	−0.903725	−	0.541672i	−0.888840	+	0.458217i	$0.848488\pi$
$68$	−3.54269	−	3.22197i	−0.429614	−	0.390722i
$69$	−11.1723	+	3.99751i	−1.34498	+	0.481243i
$70$	−8.82869	+	12.5130i	−1.05523	+	1.49559i
$71$	2.73465	−	5.11618i	0.324544	−	0.607178i	−0.665749	−	0.746176i	$-0.731888\pi$
$71$	2.73465	−	5.11618i	0.324544	−	0.607178i	0.990293	+	0.138997i	$0.0443879\pi$
$72$	−8.61004	−	11.0914i	−1.01470	−	1.30713i
$73$	3.39446	−	11.1900i	0.397291	−	1.30969i	−0.499144	−	0.866519i	$-0.666352\pi$
$73$	3.39446	−	11.1900i	0.397291	−	1.30969i	0.896435	−	0.443174i	$-0.146148\pi$
$74$	0.309909	−	0.545975i	0.0360262	−	0.0634683i
$75$	−0.0452815	−	0.0335830i	−0.00522866	−	0.00387784i
$76$	−0.454558	+	4.53555i	−0.0521414	+	0.520263i
$77$	8.95120	+	18.9257i	1.02008	+	2.15679i
$78$	−9.95285	+	15.6875i	−1.12694	+	1.77626i
$79$	1.40438	+	2.10180i	0.158005	+	0.236471i	0.902022	−	0.431689i	$-0.142082\pi$
$79$	1.40438	+	2.10180i	0.158005	+	0.236471i	−0.744018	+	0.668160i	$0.767082\pi$
$80$	6.01722	−	6.59344i	0.672745	−	0.737169i
$81$	0.417321	−	0.624565i	0.0463690	−	0.0693961i
$82$	2.55243	−	1.12880i	0.281868	−	0.124655i
$83$	0.0674618	+	1.37322i	0.00740489	+	0.150730i	0.999650	+	0.0264373i	$0.00841622\pi$
$83$	0.0674618	+	1.37322i	0.00740489	+	0.150730i	−0.992246	+	0.124293i	$0.960334\pi$
$84$	−10.5243	+	25.2854i	−1.14830	+	2.75886i
$85$	5.18311	+	1.29830i	0.562187	+	0.140820i
$86$	1.12217	−	1.29865i	0.121006	−	0.140037i
$87$	−8.13133	−	6.67321i	−0.871770	−	0.715443i
$88$	−3.79814	−	11.5971i	−0.404883	−	1.23625i
$89$	−3.87152	−	0.381311i	−0.410380	−	0.0404189i	−0.109279	−	0.994011i	$-0.534854\pi$
$89$	−3.87152	−	0.381311i	−0.410380	−	0.0404189i	−0.301101	+	0.953592i	$0.597354\pi$
$90$	14.3175	+	6.36118i	1.50920	+	0.670527i
$91$	22.5610	+	1.10835i	2.36503	+	0.116187i
$92$	−5.63664	−	6.24052i	−0.587660	−	0.650620i
$93$	−7.86611	−	1.16683i	−0.815678	−	0.120994i
$94$	−6.54067	−	11.5690i	−0.674618	−	1.19325i
$95$	−1.94637	−	4.69895i	−0.199693	−	0.482102i
$96$	7.92815	−	13.8564i	0.809163	−	1.41422i
$97$	−5.33775	+	12.8865i	−0.541967	+	1.30842i	0.381367	+	0.924424i	$0.375454\pi$
$97$	−5.33775	+	12.8865i	−0.541967	+	1.30842i	−0.923333	+	0.384000i	$0.874546\pi$
$98$	23.2263	−	2.84450i	2.34621	−	0.287338i
$99$	17.2033	−	12.7588i	1.72900	−	1.28231i
$100$	0.00977417	−	0.0387390i	0.000977417	−	0.00387390i
$101$	0.502801	+	0.554755i	0.0500306	+	0.0552002i	0.765452	−	0.643493i	$-0.222515\pi$
$101$	0.502801	+	0.554755i	0.0500306	+	0.0552002i	−0.715422	+	0.698693i	$0.753765\pi$
$102$	9.55293	+	0.242698i	0.945881	+	0.0240307i
$103$	−9.97312	+	8.18473i	−0.982681	+	0.806465i	−0.981094	−	0.193534i	$-0.938005\pi$
$103$	−9.97312	+	8.18473i	−0.982681	+	0.806465i	−0.00158694	+	0.999999i	$0.500505\pi$
$104$	−12.9667	−	2.28427i	−1.27149	−	0.223991i
$105$	−2.99537	−	30.4125i	−0.292319	−	2.96796i
$106$	16.8543	−	8.46568i	1.63704	−	0.822260i
$107$	−15.0030	+	8.99247i	−1.45040	+	0.869334i	−0.999727	−	0.0233563i	$-0.992565\pi$
$107$	−15.0030	+	8.99247i	−1.45040	+	0.869334i	−0.450670	+	0.892691i	$0.648815\pi$
$108$	10.8700	+	2.18154i	1.04597	+	0.209919i
$109$	9.91842	−	10.9433i	0.950012	−	1.04818i	−0.0487684	−	0.998810i	$-0.515530\pi$
$109$	9.91842	−	10.9433i	0.950012	−	1.04818i	0.998781	−	0.0493669i	$-0.0157204\pi$
$110$	9.85353	+	9.39744i	0.939497	+	0.896011i
$111$	0.244407	+	1.22872i	0.0231981	+	0.116625i
$112$	−19.4097	−	0.0664947i	−1.83404	−	0.00628316i
$113$	2.85565	−	14.3563i	0.268637	−	1.35053i	−0.576988	−	0.816753i	$-0.695772\pi$
$113$	2.85565	−	14.3563i	0.268637	−	1.35053i	0.845625	−	0.533778i	$-0.179228\pi$
$114$	−5.23127	−	7.44136i	−0.489953	−	0.696947i
$115$	8.83456	+	3.16105i	0.823827	+	0.294770i
$116$	2.17622	−	7.13004i	0.202057	−	0.662007i
$117$	−3.39075	−	22.8586i	−0.313475	−	2.11328i
$118$	−0.909312	+	7.32089i	−0.0837090	+	0.673943i
$119$	−5.47691	−	10.2466i	−0.502067	−	0.939302i
$120$	−0.482902	+	17.8063i	−0.0440827	+	1.62549i
$121$	7.28688	−	2.21045i	0.662444	−	0.200950i
$122$	0.0905648	−	0.0572409i	0.00819935	−	0.00518235i
$123$	−2.38118	+	5.03459i	−0.214704	+	0.453954i
$124$	−1.35998	−	5.46908i	−0.122130	−	0.491138i
$125$	2.72200	+	10.8668i	0.243463	+	0.971959i
$126$	−10.6584	−	32.3565i	−0.949526	−	2.88254i
$127$		−	19.1935i		−	1.70314i	−0.524238	−	0.851572i	$-0.675650\pi$
$127$		−	19.1935i		−	1.70314i	0.524238	−	0.851572i	$-0.324350\pi$
$128$	11.2201	+	1.45221i	0.991728	+	0.128359i
$129$			3.42497i			0.301552i
$130$	13.9535	−	4.59635i	1.22380	−	0.403127i
$131$	0.945675	+	3.77535i	0.0826240	+	0.329853i	0.997220	−	0.0745157i	$-0.0237411\pi$
$131$	0.945675	+	3.77535i	0.0826240	+	0.329853i	−0.914596	+	0.404369i	$0.867491\pi$
$132$	20.8658	+	12.5551i	1.81613	+	1.09278i
$133$	−4.72849	+	9.99755i	−0.410012	+	0.866897i
$134$	6.51633	+	10.3099i	0.562925	+	0.890642i
$135$	−11.8379	+	3.59099i	−1.01884	+	0.309063i
$136$	2.42106	+	6.32471i	0.207604	+	0.542339i
$137$	5.16364	+	9.66048i	0.441159	+	0.825351i	0.999992	−	0.00392946i	$-0.00125079\pi$
$137$	5.16364	+	9.66048i	0.441159	+	0.825351i	−0.558833	+	0.829280i	$0.688751\pi$
$138$	16.6530	+	2.06843i	1.41760	+	0.176076i
$139$	1.85490	+	12.5047i	0.157331	+	1.06064i	0.913669	+	0.406458i	$0.133236\pi$
$139$	1.85490	+	12.5047i	0.157331	+	1.06064i	−0.756338	+	0.654181i	$0.773014\pi$
$140$	19.1176	−	10.1765i	1.61573	−	0.860070i
$141$	24.9701	+	8.93445i	2.10286	+	0.752417i
$142$	−6.71159	+	4.71824i	−0.563224	+	0.395946i
$143$	3.91819	−	19.6981i	0.327655	−	1.64723i
$144$	3.80718	+	19.4887i	0.317265	+	1.62406i
$145$	1.62276	+	8.15817i	0.134763	+	0.677500i
$146$	−11.4133	+	11.9672i	−0.944572	+	0.990415i
$147$	−31.3585	+	34.5988i	−2.58640	+	2.85366i
$148$	−0.739058	+	0.491994i	−0.0607502	+	0.0404416i
$149$	9.95143	−	5.96466i	0.815253	−	0.488644i	−0.0447102	−	0.999000i	$-0.514236\pi$
$149$	9.95143	−	5.96466i	0.815253	−	0.488644i	0.859963	+	0.510356i	$0.170486\pi$
$150$	0.0357854	+	0.0712452i	0.00292186	+	0.00581715i
$151$	−1.52037	−	15.4366i	−0.123726	−	1.25621i	−0.833793	−	0.552077i	$-0.813836\pi$
$151$	−1.52037	−	15.4366i	−0.123726	−	1.25621i	0.710068	−	0.704134i	$-0.248664\pi$
$152$	3.46277	−	5.43735i	0.280868	−	0.441028i
$153$	−9.18817	+	7.54054i	−0.742820	+	0.609617i
$154$	0.751958	−	29.5981i	0.0605945	−	2.38508i
$155$	4.22292	+	4.65928i	0.339193	+	0.374242i
$156$	22.5589	−	13.4688i	1.80616	−	1.07837i
$157$	3.44279	−	2.55334i	0.274764	−	0.203779i	−0.449539	−	0.893261i	$-0.648412\pi$
$157$	3.44279	−	2.55334i	0.274764	−	0.203779i	0.724303	+	0.689482i	$0.242162\pi$
$158$	−0.434563	−	3.54835i	−0.0345720	−	0.282292i
$159$	−14.4033	+	34.7726i	−1.14226	+	2.75765i
$160$	−11.7973	+	4.49277i	−0.932657	+	0.355185i
$161$	−7.80779	−	18.8497i	−0.615340	−	1.48556i
$162$	−0.924739	+	0.522813i	−0.0726544	+	0.0410760i
$163$	7.06650	+	1.04822i	0.553491	+	0.0821027i	0.417617	−	0.908623i	$-0.362866\pi$
$163$	7.06650	+	1.04822i	0.553491	+	0.0821027i	0.135875	+	0.990726i	$0.456616\pi$
$164$	−3.94182	−	0.200418i	−0.307805	−	0.0156500i
$165$	−27.1390	−	1.33325i	−2.11277	−	0.103794i
$166$	0.789458	−	1.77688i	0.0612739	−	0.137913i
$167$	−18.2396	−	1.79644i	−1.41142	−	0.139013i	−0.636600	−	0.771194i	$-0.719660\pi$
$167$	−18.2396	−	1.79644i	−1.41142	−	0.139013i	−0.774820	+	0.632182i	$0.782160\pi$
$168$	29.3937	−	25.2237i	2.26777	−	1.94605i
$169$	−6.70132	−	5.49964i	−0.515487	−	0.423049i
$170$	−5.71760	−	4.94058i	−0.438520	−	0.378925i
$171$	10.9752	+	2.74913i	0.839291	+	0.210232i
$172$	−2.24407	+	0.925024i	−0.171109	+	0.0705324i
$173$	−0.796262	−	16.2083i	−0.0605386	−	1.23229i	−0.816371	−	0.577528i	$-0.804018\pi$
$173$	−0.796262	−	16.2083i	−0.0605386	−	1.23229i	0.755833	−	0.654765i	$-0.227232\pi$
$174$	6.01679	+	13.6051i	0.456132	+	1.03140i
$175$	0.0538542	−	0.0805985i	0.00407099	−	0.00609267i
$176$	−2.59073	+	17.0624i	−0.195284	+	1.28612i
$177$	−8.17872	−	12.2403i	−0.614751	−	0.920039i
$178$	4.64556	+	2.94734i	0.348199	+	0.220913i
$179$	−7.26221	−	15.3547i	−0.542803	−	1.14766i	−0.969911	−	0.243460i	$-0.921718\pi$
$179$	−7.26221	−	15.3547i	−0.542803	−	1.14766i	0.427108	−	0.904201i	$-0.359532\pi$
$180$	−14.0266	−	17.1513i	−1.04548	−	1.27838i
$181$	0.759394	+	0.563205i	0.0564453	+	0.0418627i	0.623554	−	0.781780i	$-0.285688\pi$
$181$	0.759394	+	0.563205i	0.0564453	+	0.0418627i	−0.567109	+	0.823643i	$0.691938\pi$
$182$	−27.7810	−	15.7692i	−2.05926	−	1.16889i
$183$	−0.0620618	+	0.204590i	−0.00458774	+	0.0151238i
$184$	3.14242	+	11.4698i	0.231663	+	0.845567i
$185$	0.466991	−	0.873678i	0.0343338	−	0.0642341i
$186$	9.18907	+	6.48346i	0.673776	+	0.475390i
$187$	−9.72653	+	3.48021i	−0.711275	+	0.254498i
$188$	0.890059	+	18.7737i	0.0649142	+	1.36921i
$189$	23.0719	+	13.8288i	1.67824	+	1.00590i
$190$	−0.535282	+	7.17290i	−0.0388334	+	0.520377i
$191$	6.68248	−	6.68248i	0.483527	−	0.483527i	−0.422729	−	0.906256i	$-0.638928\pi$
$191$	6.68248	−	6.68248i	0.483527	−	0.483527i	0.906256	+	0.422729i	$0.138928\pi$
$192$	−18.8362	+	12.4464i	−1.35938	+	0.898240i
$193$	9.87155	+	9.87155i	0.710570	+	0.710570i	0.966654	−	0.256085i	$-0.0824326\pi$
$193$	9.87155	+	9.87155i	0.710570	+	0.710570i	−0.256085	+	0.966654i	$0.582433\pi$
$194$	14.9476	−	12.8715i	1.07317	−	0.924122i
$195$	−15.0716	+	25.1454i	−1.07930	+	1.80070i
$196$	−31.1388	−	11.2018i	−2.22420	−	0.800131i
$197$	0.434626	+	1.21470i	0.0309658	+	0.0865437i	0.956032	−	0.293262i	$-0.0947408\pi$
$197$	0.434626	+	1.21470i	0.0309658	+	0.0865437i	−0.925066	+	0.379806i	$0.875991\pi$
$198$	−29.8485	+	5.15287i	−2.12124	+	0.366199i
$199$	14.1906	+	7.58506i	1.00595	+	0.537690i	0.890191	−	0.455587i	$-0.150571\pi$
$199$	14.1906	+	7.58506i	1.00595	+	0.537690i	0.115757	+	0.993278i	$0.463071\pi$
$200$	−0.0370155	+	0.0426890i	−0.00261739	+	0.00301857i
$201$	−23.2907	−	7.06514i	−1.64280	−	0.498337i
$202$	−0.281530	−	1.02072i	−0.0198084	−	0.0718175i
$203$	10.7743	−	14.5275i	0.756211	−	1.01963i
$204$	−11.9076	−	6.39097i	−0.833696	−	0.447458i
$205$	3.98113	−	1.88294i	0.278055	−	0.131510i
$206$	17.8058	−	3.98241i	1.24059	−	0.277467i
$207$	−17.3552	+	11.5964i	−1.20627	+	0.806004i
$208$	14.9177	+	11.1431i	1.03435	+	0.772636i
$209$	8.17608	+	5.46308i	0.565551	+	0.377889i
$210$	−15.5884	+	40.3087i	−1.07570	+	2.78156i
$211$	24.6527	−	1.21111i	1.69716	−	0.0833763i	0.822703	−	0.568472i	$-0.192465\pi$
$211$	24.6527	−	1.21111i	1.69716	−	0.0833763i	0.874461	+	0.485095i	$0.161215\pi$
$212$	−26.6734	−	0.0456895i	−1.83194	−	0.00313797i
$213$	3.97795	−	15.8809i	0.272565	−	1.08814i
$214$	24.6713	−	1.79862i	1.68650	−	0.122951i
$215$	1.71814	−	2.09356i	0.117176	−	0.142779i
$216$	−12.3357	−	9.67795i	−0.839336	−	0.658501i
$217$	1.34022	−	13.6075i	0.0909799	−	0.923735i
$218$	−19.4937	+	7.50039i	−1.32028	+	0.507990i
$219$	1.61925	−	32.9606i	0.109419	−	2.22727i
$220$	−6.45621	−	18.1418i	−0.435278	−	1.22312i
$221$	−1.63542	+	11.0251i	−0.110010	+	0.741629i
$222$	0.474001	−	1.70713i	0.0318129	−	0.114575i
$223$	−5.78610	+	2.39668i	−0.387466	+	0.160494i	−0.567908	−	0.823092i	$-0.692247\pi$
$223$	−5.78610	+	2.39668i	−0.387466	+	0.160494i	0.180442	+	0.983586i	$0.442247\pi$
$224$	24.4655	+	12.4465i	1.63467	+	0.831618i
$225$	−0.0916201	−	0.0379503i	−0.00610801	−	0.00253002i
$226$	−12.7497	+	16.3084i	−0.848096	+	1.08482i
$227$	2.43515	+	3.28342i	0.161627	+	0.217928i	0.876595	−	0.481228i	$-0.159809\pi$
$227$	2.43515	+	3.28342i	0.161627	+	0.217928i	−0.714969	+	0.699156i	$0.753559\pi$
$228$	1.86573	+	12.7279i	0.123561	+	0.842925i
$229$	7.40239	−	6.70914i	0.489164	−	0.443352i	−0.389335	−	0.921096i	$-0.627295\pi$
$229$	7.40239	−	6.70914i	0.489164	−	0.443352i	0.878499	+	0.477744i	$0.158545\pi$
$230$	−9.14172	−	9.61833i	−0.602787	−	0.634214i
$231$	37.4818	+	45.6717i	2.46612	+	3.00498i
$232$	−7.28915	+	7.61675i	−0.478556	+	0.500064i
$233$	−10.6550	+	1.04942i	−0.698030	+	0.0687499i	−0.440807	−	0.897602i	$-0.645308\pi$
$233$	−10.6550	+	1.04942i	−0.698030	+	0.0687499i	−0.257223	+	0.966352i	$0.582808\pi$
$234$	−10.2779	+	31.0224i	−0.671888	+	2.02800i
$235$	−10.7813	−	17.9876i	−0.703297	−	1.17338i
$236$	5.81104	−	8.66467i	0.378266	−	0.564022i
$237$	5.28576	+	4.79073i	0.343347	+	0.311191i
$238$	0.389168	+	16.4264i	0.0252260	+	1.06476i
$239$	−7.18969	+	1.43012i	−0.465062	+	0.0925067i	−0.422059	−	0.906568i	$-0.638693\pi$
$239$	−7.18969	+	1.43012i	−0.465062	+	0.0925067i	−0.0430032	+	0.999075i	$0.513693\pi$
$240$	11.9511	−	22.1758i	0.771439	−	1.43144i
$241$	−12.1112	−	2.40907i	−0.780151	−	0.155182i	−0.211078	−	0.977469i	$-0.567698\pi$
$241$	−12.1112	−	2.40907i	−0.780151	−	0.155182i	−0.569072	+	0.822287i	$0.692698\pi$
$242$	−10.6088	−	1.85016i	−0.681958	−	0.118933i
$243$	−4.88836	+	13.6621i	−0.313588	+	0.876421i
$244$	−0.150811	+	0.0145928i	−0.00965470	+	0.000934210i
$245$	36.5248	−	5.41794i	2.33348	−	0.346139i
$246$	6.21331	−	4.84036i	0.396146	−	0.308610i
$247$	9.35665	−	5.00123i	0.595349	−	0.318221i
$248$	−1.76621	+	7.77183i	−0.112155	+	0.493512i
$249$	1.12631	+	3.71296i	0.0713773	+	0.235299i
$250$	3.48442	−	15.4549i	0.220374	−	0.977453i
$251$	5.53805	+	2.61930i	0.349559	+	0.165329i	0.594267	−	0.804268i	$-0.297442\pi$
$251$	5.53805	+	2.61930i	0.349559	+	0.165329i	−0.244708	+	0.969597i	$0.578692\pi$
$252$	−7.15075	+	47.6440i	−0.450455	+	3.00129i
$253$	−17.5972	+	4.40786i	−1.10632	+	0.277120i
$254$	−12.2248	+	24.2349i	−0.767055	+	1.52063i
$255$	15.0792			0.944294
$256$	−13.2423	−	8.98007i	−0.827644	−	0.561254i
$257$	12.0048			0.748836			0.374418	−	0.927260i	$-0.377842\pi$
$257$	12.0048			0.748836			0.374418	+	0.927260i	$0.377842\pi$
$258$	2.18146	−	4.32459i	0.135812	−	0.269237i
$259$	−2.08955	+	0.523404i	−0.129838	+	0.0325227i
$260$	−20.5461	−	3.08370i	−1.27421	−	0.191243i
$261$	−16.7271	−	7.91135i	−1.03538	−	0.489700i
$262$	1.21055	−	5.36932i	0.0747882	−	0.331718i
$263$	2.56884	+	8.46832i	0.158401	+	0.522179i	0.999835	−	0.0181817i	$-0.00578773\pi$
$263$	2.56884	+	8.46832i	0.158401	+	0.522179i	−0.841433	+	0.540361i	$0.818288\pi$
$264$	−18.3498	−	29.1429i	−1.12935	−	1.79362i
$265$	26.2479	−	14.0298i	1.61240	−	0.861844i
$266$	12.3382	−	9.61184i	0.756504	−	0.589340i
$267$	−10.8599	+	1.61091i	−0.664612	+	0.0985859i
$268$	−1.66125	−	17.1684i	−0.101477	−	1.04873i
$269$	2.84014	−	7.93766i	0.173166	−	0.483968i	−0.823334	−	0.567557i	$-0.807889\pi$
$269$	2.84014	−	7.93766i	0.173166	−	0.483968i	0.996500	+	0.0835897i	$0.0266385\pi$
$270$	17.2345	+	3.00568i	1.04886	+	0.182920i
$271$	21.5977	+	4.29604i	1.31196	+	0.260966i	0.801015	−	0.598644i	$-0.204294\pi$
$271$	21.5977	+	4.29604i	1.31196	+	0.260966i	0.510950	+	0.859610i	$0.329294\pi$
$272$	0.971399	−	9.52803i	0.0588997	−	0.577722i
$273$	62.5213	−	12.4363i	3.78396	−	0.752676i
$274$	−0.366908	−	15.4868i	−0.0221657	−	0.935593i
$275$	−0.0638614	−	0.0578806i	−0.00385099	−	0.00349033i
$276$	−19.7097	−	13.2185i	−1.18638	−	0.795659i
$277$	−6.54202	−	10.9147i	−0.393072	−	0.655800i	0.596042	−	0.802953i	$-0.296739\pi$
$277$	−6.54202	−	10.9147i	−0.393072	−	0.655800i	−0.989114	+	0.147153i	$0.952989\pi$
$278$	5.62250	−	16.9707i	0.337215	−	1.01784i
$279$	−13.9211	+	1.37110i	−0.833432	+	0.0820859i
$280$	−30.6208	+	0.672979i	−1.82994	+	0.0402182i
$281$	9.74102	+	11.8695i	0.581100	+	0.708073i	0.977721	−	0.209910i	$-0.0673170\pi$
$281$	9.74102	+	11.8695i	0.581100	+	0.708073i	−0.396620	+	0.917983i	$0.629817\pi$
$282$	−25.8383	−	27.1854i	−1.53865	−	1.61887i
$283$	0.380506	−	0.344871i	0.0226188	−	0.0205004i	−0.660171	−	0.751115i	$-0.729516\pi$
$283$	0.380506	−	0.344871i	0.0226188	−	0.0205004i	0.682790	+	0.730615i	$0.260766\pi$
$284$	11.4797	−	1.68276i	0.681193	−	0.0998532i
$285$	−8.55038	−	11.5289i	−0.506481	−	0.682911i
$286$	−17.4936	+	22.3764i	−1.03442	+	1.32315i
$287$	−8.84715	−	3.66461i	−0.522231	−	0.216315i
$288$	7.60570	−	27.0326i	0.448170	−	1.59291i
$289$	−10.4094	+	4.31172i	−0.612318	+	0.253630i
$290$	3.14717	−	11.3346i	0.184808	−	0.665592i
$291$	−5.77580	+	38.9373i	−0.338583	+	2.28254i
$292$	22.0334	−	7.84114i	1.28941	−	0.458868i
$293$	−0.0207807	+	0.423002i	−0.00121402	+	0.0247120i	−0.999326	−	0.0367079i	$-0.988313\pi$
$293$	−0.0207807	+	0.423002i	−0.00121402	+	0.0247120i	0.998112	+	0.0614199i	$0.0195629\pi$
$294$	61.6322	−	23.7135i	3.59446	−	1.38300i
$295$	−1.14101	+	11.5849i	−0.0664325	+	0.674500i
$296$	1.24655	−	0.150496i	0.0724541	−	0.00874742i
$297$	15.1726	−	18.4879i	0.880406	−	1.07278i
$298$	−16.3644	+	1.19302i	−0.947963	+	0.0691097i
$299$	−4.75576	+	18.9861i	−0.275033	+	1.09799i
$300$	0.000193135	−	0.112752i	1.11506e−5	−	0.00650971i
$301$	−5.88194	+	0.288961i	−0.339029	+	0.0166554i
$302$	−7.91227	+	20.4596i	−0.455300	+	1.17732i
$303$	1.75684	+	1.17388i	0.100928	+	0.0674377i
$304$	−7.83552	+	4.66002i	−0.449398	+	0.267270i
$305$	0.140569	−	0.0939252i	0.00804896	−	0.00537814i
$306$	16.4044	−	3.66897i	0.937775	−	0.209741i
$307$	15.3980	−	7.28273i	0.878813	−	0.415647i	0.0657585	−	0.997836i	$-0.479053\pi$
$307$	15.3980	−	7.28273i	0.878813	−	0.415647i	0.813054	+	0.582188i	$0.197803\pi$
$308$	−19.8013	+	36.8936i	−1.12829	+	2.10221i
$309$	−21.6893	+	29.2446i	−1.23386	+	1.66367i
$310$	−2.36451	−	8.57280i	−0.134295	−	0.486902i
$311$	12.1182	+	3.67602i	0.687161	+	0.208448i	0.614509	−	0.788910i	$-0.289354\pi$
$311$	12.1182	+	3.67602i	0.687161	+	0.208448i	0.0726512	+	0.997357i	$0.476854\pi$
$312$	−37.0631	+	2.63821i	−2.09828	+	0.149359i
$313$	−2.79306	−	1.49292i	−0.157873	−	0.0843849i	0.390568	−	0.920574i	$-0.372279\pi$
$313$	−2.79306	−	1.49292i	−0.157873	−	0.0843849i	−0.548441	+	0.836189i	$0.684779\pi$
$314$	−5.97338	+	1.03121i	−0.337097	+	0.0581946i
$315$	−18.1100	−	50.6141i	−1.02038	−	2.85178i
$316$	−1.71134	+	4.75717i	−0.0962704	+	0.267612i
$317$	−5.58505	+	9.31809i	−0.313688	+	0.523356i	−0.973681	−	0.227915i	$-0.926809\pi$
$317$	−5.58505	+	9.31809i	−0.313688	+	0.523356i	0.659993	+	0.751271i	$0.270559\pi$
$318$	40.3342	−	34.7323i	2.26183	−	1.94769i
$319$	−11.3715	−	11.3715i	−0.636681	−	0.636681i
$320$	17.7576	+	1.84115i	0.992679	+	0.102924i
$321$	−34.9049	+	34.9049i	−1.94820	+	1.94820i
$322$	−2.14726	+	28.7738i	−0.119662	+	1.60350i
$323$	−4.68067	−	2.80549i	−0.260440	−	0.156102i
$324$	1.50063	−	0.0711448i	0.0833683	−	0.00395249i
$325$	−0.0875551	+	0.0313277i	−0.00485668	+	0.00173775i
$326$	−8.25499	−	5.82440i	−0.457201	−	0.322584i
$327$	19.6480	−	36.7588i	1.08654	−	2.03277i
$328$	4.84955	+	2.76372i	0.267772	+	0.152601i
$329$	−13.2371	+	43.6367i	−0.729783	+	2.40577i
$330$	33.4183	+	18.9691i	1.83962	+	1.04421i
$331$	17.9120	+	13.2845i	0.984533	+	0.730179i	0.962976	−	0.269588i	$-0.0868876\pi$
$331$	17.9120	+	13.2845i	0.984533	+	0.730179i	0.0215573	+	0.999768i	$0.493138\pi$
$332$	−2.12857	+	1.74078i	−0.116820	+	0.0955375i
$333$	0.942222	+	1.99216i	0.0516334	+	0.109170i
$334$	21.8863	+	13.8856i	1.19756	+	0.759786i
$335$	10.6925	+	16.0024i	0.584193	+	0.874306i
$336$	−53.1801	+	13.1275i	−2.90121	+	0.716162i
$337$	8.01118	−	11.9896i	0.436397	−	0.653114i	−0.546460	−	0.837485i	$-0.684025\pi$
$337$	8.01118	−	11.9896i	0.436397	−	0.653114i	0.982857	+	0.184371i	$0.0590248\pi$
$338$	4.95866	+	11.2125i	0.269715	+	0.609877i
$339$	−2.02693	−	41.2590i	−0.110088	−	2.24088i
$340$	4.07262	+	9.88000i	0.220869	+	0.535818i
$341$	−11.7931	−	2.95402i	−0.638632	−	0.159969i
$342$	−12.1069	−	10.4616i	−0.654669	−	0.565700i
$343$	−35.8076	−	29.3866i	−1.93343	−	1.58673i
$344$	3.42268	+	0.261316i	0.184539	+	0.0140892i
$345$	26.3524	+	2.59549i	1.41877	+	0.139736i
$346$	−9.31810	+	20.9728i	−0.500944	+	1.12750i
$347$	19.3660	+	0.951391i	1.03962	+	0.0510734i	0.561710	−	0.827334i	$-0.310144\pi$
$347$	19.3660	+	0.951391i	1.03962	+	0.0510734i	0.477912	+	0.878408i	$0.341394\pi$
$348$	1.06828	−	21.0109i	0.0572659	−	1.12631i
$349$	13.1876	+	1.95619i	0.705915	+	0.104713i	0.490029	−	0.871706i	$-0.336986\pi$
$349$	13.1876	+	1.95619i	0.705915	+	0.104713i	0.215886	+	0.976419i	$0.430736\pi$
$350$	−0.119335	+	0.0674676i	−0.00637873	+	0.00360630i
$351$	−9.87493	−	23.8402i	−0.527085	−	1.27250i
$352$	14.1387	−	19.8939i	0.753597	−	1.06035i
$353$	−9.21002	+	22.2349i	−0.490200	+	1.18345i	0.464419	+	0.885616i	$0.346263\pi$
$353$	−9.21002	+	22.2349i	−0.490200	+	1.18345i	−0.954619	+	0.297831i	$0.903737\pi$
$354$	2.53078	+	20.6647i	0.134509	+	1.09832i
$355$	−10.3982	+	7.71185i	−0.551880	+	0.409302i
$356$	−3.98854	−	6.68040i	−0.211392	−	0.354060i
$357$	−22.0194	−	24.2947i	−1.16539	−	1.28581i
$358$	−0.610072	+	24.0133i	−0.0322433	+	1.26914i
$359$	12.3815	−	10.1612i	0.653469	−	0.536288i	−0.248204	−	0.968708i	$-0.579840\pi$
$359$	12.3815	−	10.1612i	0.653469	−	0.536288i	0.901672	+	0.432420i	$0.142340\pi$
$360$	6.78674	+	30.5902i	0.357693	+	1.61225i
$361$	−1.35318	−	13.7391i	−0.0712200	−	0.723109i
$362$	−0.600139	−	1.19482i	−0.0315426	−	0.0627982i
$363$	18.4323	−	11.0479i	0.967445	−	0.579864i
$364$	25.0342	+	37.6057i	1.31215	+	1.97107i
$365$	−17.5245	+	19.3353i	−0.917275	+	1.01206i
$366$	0.208673	−	0.218800i	0.0109075	−	0.0114369i
$367$	1.46100	+	7.34494i	0.0762636	+	0.383403i	1.00000		0.000374031i	$0.000119058\pi$
$367$	1.46100	+	7.34494i	0.0762636	+	0.383403i	−0.923736	+	0.383029i	$0.874881\pi$
$368$	3.33763	−	16.4840i	0.173986	−	0.859290i
$369$	−1.91126	+	9.60853i	−0.0994960	+	0.500200i
$370$	−1.14612	+	0.805723i	−0.0595841	+	0.0418875i
$371$	−60.9327	−	21.8021i	−3.16347	−	1.13191i
$372$	−7.47323	−	14.0392i	−0.387469	−	0.727899i
$373$	2.79404	+	18.8359i	0.144670	+	0.975284i	0.932960	+	0.359980i	$0.117217\pi$
$373$	2.79404	+	18.8359i	0.144670	+	0.975284i	−0.788290	+	0.615304i	$0.789033\pi$
$374$	14.4980	+	1.80076i	0.749673	+	0.0931153i
$375$	14.9031	+	27.8818i	0.769593	+	1.43981i
$376$	10.8336	−	24.2718i	0.558702	−	1.25172i
$377$	−16.6039	+	5.03672i	−0.855142	+	0.259404i
$378$	−20.3242	−	32.1563i	−1.04536	−	1.65394i
$379$	12.2265	−	25.8507i	0.628031	−	1.32786i	−0.299494	−	0.954098i	$-0.596818\pi$
$379$	12.2265	−	25.8507i	0.628031	−	1.32786i	0.927525	−	0.373761i	$-0.121932\pi$
$380$	5.24450	−	8.71603i	0.269037	−	0.447123i
$381$	−13.1612	−	52.5426i	−0.674271	−	2.69184i
$382$	−12.6940	+	4.18147i	−0.649481	+	0.213943i
$383$			5.44735i			0.278346i	0.990268	+	0.139173i	$0.0444445\pi$
$383$			5.44735i			0.278346i	−0.990268	+	0.139173i	$0.955556\pi$
$384$	31.7112	−	3.71834i	1.61826	−	0.189751i
$385$		−	46.7202i		−	2.38108i
$386$	−6.17699	−	18.7519i	−0.314401	−	0.954448i
$387$	1.46389	+	5.84419i	0.0744139	+	0.297077i
$388$	−27.0720	+	6.73192i	−1.37437	+	0.341761i
$389$	−9.93659	+	21.0092i	−0.503805	+	1.06521i	0.478529	+	0.878072i	$0.341170\pi$
$389$	−9.93659	+	21.0092i	−0.503805	+	1.06521i	−0.982334	+	0.187135i	$0.940080\pi$
$390$	35.0462	−	22.1507i	1.77463	−	1.12165i
$391$	9.63389	−	2.92241i	0.487207	−	0.147793i
$392$	32.1831	+	33.9773i	1.62549	+	1.71611i
$393$	5.17762	+	9.68665i	0.261177	+	0.488627i
$394$	0.224889	−	1.81058i	0.0113297	−	0.0912159i
$395$	−0.827715	−	5.58000i	−0.0416469	−	0.280760i
$396$	40.9706	+	12.5050i	2.05885	+	0.628399i
$397$	−4.26627	−	1.52649i	−0.214118	−	0.0766126i	0.227646	−	0.973744i	$-0.426897\pi$
$397$	−4.26627	−	1.52649i	−0.214118	−	0.0766126i	−0.441764	+	0.897131i	$0.645647\pi$
$398$	−13.0869	−	18.6158i	−0.655987	−	0.933126i
$399$	−6.08890	+	30.6110i	−0.304826	+	1.53247i
$400$	0.0739280	−	0.0303257i	0.00369640	−	0.00151628i
$401$	5.43147	+	27.3058i	0.271234	+	1.36359i	0.840668	+	0.541550i	$0.182162\pi$
$401$	5.43147	+	27.3058i	0.271234	+	1.36359i	−0.569434	+	0.822037i	$0.692838\pi$
$402$	24.9083	+	23.7554i	1.24231	+	1.18481i
$403$	−8.80883	+	9.71904i	−0.438799	+	0.484140i
$404$	−0.294646	+	1.46814i	−0.0146592	+	0.0730427i
$405$	−1.43779	+	0.861781i	−0.0714446	+	0.0428222i
$406$	−22.8574	+	11.4809i	−1.13439	+	0.569788i
$407$	0.187731	+	1.90607i	0.00930549	+	0.0944803i
$408$	10.9647	+	15.6539i	0.542832	+	0.774985i
$409$	14.0327	−	11.5163i	0.693872	−	0.569446i	−0.219975	−	0.975506i	$-0.570598\pi$
$409$	14.0327	−	11.5163i	0.693872	−	0.569446i	0.913846	+	0.406060i	$0.133098\pi$
$410$	−6.22613	−	0.158179i	−0.307487	−	0.00781189i
$411$	20.7599	+	22.9051i	1.02401	+	1.12982i
$412$	−25.0193	−	6.31256i	−1.23261	−	0.310998i
$413$	20.3311	−	15.0786i	1.00043	−	0.741969i
$414$	29.2999	−	3.58832i	1.44001	−	0.176356i
$415$	1.17413	−	2.83461i	0.0576360	−	0.139146i
$416$	−11.7387	−	23.5715i	−0.575535	−	1.15569i
$417$	13.6525	+	32.9602i	0.668568	+	1.61407i
$418$	−6.84406	−	12.1056i	−0.334754	−	0.592105i
$419$	13.6896	+	2.03066i	0.668780	+	0.0992041i	0.472482	−	0.881340i	$-0.343358\pi$
$419$	13.6896	+	2.03066i	0.668780	+	0.0992041i	0.196298	+	0.980544i	$0.437108\pi$
$420$	45.3567	−	40.9676i	2.21318	−	1.99902i
$421$	25.2447	+	1.24019i	1.23035	+	0.0604432i	0.653831	−	0.756641i	$-0.273161\pi$
$421$	25.2447	+	1.24019i	1.23035	+	0.0604432i	0.576518	+	0.817084i	$0.304411\pi$
$422$	−31.8995	−	14.1728i	−1.55284	−	0.689921i
$423$	46.4265	+	4.57261i	2.25733	+	0.222328i
$424$	33.6505	+	17.0467i	1.63421	+	0.827863i
$425$	0.0369738	+	0.0303436i	0.00179349	+	0.00147188i
$426$	−15.1378	+	17.5186i	−0.733428	+	0.848777i
$427$	−0.356594	−	0.0893220i	−0.0172568	−	0.00432260i
$428$	−32.2972	−	13.4428i	−1.56115	−	0.649783i
$429$	−2.78111	−	56.6108i	−0.134273	−	2.73319i
$430$	−3.50288	+	1.54913i	−0.168924	+	0.0747057i
$431$	1.58863	−	2.37755i	0.0765215	−	0.114523i	−0.791235	−	0.611512i	$-0.790561\pi$
$431$	1.58863	−	2.37755i	0.0765215	−	0.114523i	0.867756	+	0.496990i	$0.165561\pi$
$432$	9.41166	+	20.0769i	0.452819	+	0.965953i
$433$	2.89500	+	4.33267i	0.139125	+	0.208215i	0.894489	−	0.447091i	$-0.147540\pi$
$433$	2.89500	+	4.33267i	0.139125	+	0.208215i	−0.755364	+	0.655306i	$0.772540\pi$
$434$	−10.3592	+	16.3280i	−0.497259	+	0.783771i
$435$	10.0365	+	21.2205i	0.481215	+	1.01744i
$436$	29.3913	+	2.94563i	1.40759	+	0.141070i
$437$	−7.69708	−	5.70854i	−0.368201	−	0.273077i
$438$	−23.0381	+	40.5869i	−1.10080	+	1.93932i
$439$	−8.86866	+	29.2361i	−0.423278	+	1.39536i	0.443324	+	0.896361i	$0.353799\pi$
$439$	−8.86866	+	29.2361i	−0.423278	+	1.39536i	−0.866602	+	0.499000i	$0.833701\pi$
$440$	−3.40300	+	27.0192i	−0.162232	+	1.28809i
$441$	−38.7204	+	72.4408i	−1.84383	+	3.44956i
$442$	9.08719	−	12.8794i	0.432234	−	0.612610i
$443$	−8.36108	+	2.99164i	−0.397247	+	0.142137i	−0.527932	−	0.849287i	$-0.677032\pi$
$443$	−8.36108	+	2.99164i	−0.397247	+	0.142137i	0.130685	+	0.991424i	$0.458282\pi$
$444$	−1.68582	+	1.85363i	−0.0800057	+	0.0879694i
$445$	7.44634	+	4.46316i	0.352990	+	0.211574i
$446$	8.83242	+	0.659125i	0.418227	+	0.0312105i
$447$	23.1523	−	23.1523i	1.09506	−	1.09506i
$448$	−22.9642	−	31.2986i	−1.08496	−	1.47872i
$449$	−17.1920	−	17.1920i	−0.811338	−	0.811338i	0.173496	−	0.984835i	$-0.444494\pi$
$449$	−17.1920	−	17.1920i	−0.811338	−	0.811338i	−0.984835	+	0.173496i	$0.944494\pi$
$450$	0.0915139	+	0.106274i	0.00431400	+	0.00500980i
$451$	−4.37730	+	7.30309i	−0.206119	+	0.343889i
$452$	26.4859	−	12.4714i	1.24579	−	0.586606i
$453$	−14.7471	−	41.2155i	−0.692881	−	1.93647i
$454$	−0.983477	−	5.69688i	−0.0461569	−	0.267368i
$455$	−44.4556	−	23.7620i	−2.08411	−	1.11398i
$456$	5.75096	−	17.2594i	0.269313	−	0.808245i
$457$	−23.5437	−	7.14189i	−1.10133	−	0.334084i	−0.313256	−	0.949669i	$-0.601420\pi$
$457$	−23.5437	−	7.14189i	−1.10133	−	0.334084i	−0.788070	+	0.615585i	$0.788920\pi$
$458$	−13.6200	+	3.75660i	−0.636420	+	0.175534i
$459$	−7.90660	+	10.6608i	−0.369048	+	0.497604i
$460$	5.41674	+	17.9673i	0.252557	+	0.837732i
$461$	14.8665	−	7.03131i	0.692400	−	0.327481i	−0.0487588	−	0.998811i	$-0.515527\pi$
$461$	14.8665	−	7.03131i	0.692400	−	0.327481i	0.741159	+	0.671330i	$0.234277\pi$
$462$	−18.2374	−	81.5413i	−0.848479	−	3.79364i
$463$	−29.4658	+	19.6884i	−1.36939	+	0.914997i	−0.999899	−	0.0142366i	$-0.995468\pi$
$463$	−29.4658	+	19.6884i	−1.36939	+	0.914997i	−0.369492	+	0.929234i	$0.620468\pi$
$464$	14.0551	−	4.97474i	0.652491	−	0.230947i
$465$	14.7553	+	9.85918i	0.684261	+	0.457209i
$466$	14.1221	+	5.46138i	0.654191	+	0.252993i
$467$	−15.6955	+	0.771069i	−0.726300	+	0.0356808i	−0.408859	−	0.912597i	$-0.634073\pi$
$467$	−15.6955	+	0.771069i	−0.726300	+	0.0356808i	−0.317441	+	0.948278i	$0.602823\pi$
$468$	32.7366	−	32.6246i	1.51325	−	1.50807i
$469$	10.1685	−	40.5948i	0.469536	−	1.87449i
$470$	2.15642	+	29.5792i	0.0994685	+	1.36439i
$471$	7.67386	−	9.35062i	0.353593	−	0.430854i
$472$	−12.8562	+	7.23936i	−0.591753	+	0.333219i
$473$	−0.513233	+	5.21094i	−0.0235985	+	0.239599i
$474$	−3.62279	−	9.41574i	−0.166400	−	0.432479i
$475$	0.00223401	−	0.0454743i	0.000102503	−	0.00208651i
$476$	9.97104	−	20.9889i	0.457022	−	0.962024i
$477$	−9.71460	+	65.4905i	−0.444801	+	2.99860i
$478$	9.98905	+	2.77356i	0.456889	+	0.126859i
$479$	16.1872	−	6.70494i	0.739610	−	0.306356i	0.0191155	−	0.999817i	$-0.493915\pi$
$479$	16.1872	−	6.70494i	0.739610	−	0.306356i	0.720494	+	0.693461i	$0.243915\pi$
$480$	−29.2146	+	20.3887i	−1.33346	+	0.930611i
$481$	1.90916	+	0.790799i	0.0870501	+	0.0360573i
$482$	13.7580	+	10.7558i	0.626659	+	0.489914i
$483$	−34.2996	−	46.2476i	−1.56068	−	2.10434i
$484$	12.2169	+	9.09316i	0.555315	+	0.413326i
$485$	23.0634	−	20.9035i	1.04726	−	0.949178i
$486$	14.8741	−	14.1371i	0.674703	−	0.641270i
$487$	−1.07440	−	1.30916i	−0.0486856	−	0.0593236i	0.748098	−	0.663588i	$-0.230967\pi$
$487$	−1.07440	−	1.30916i	−0.0486856	−	0.0593236i	−0.796784	+	0.604264i	$0.793467\pi$
$488$	0.199719	+	0.0776301i	0.00904084	+	0.00351415i
$489$	20.0635	−	1.97609i	0.907304	−	0.0893617i
$490$	−49.5694	−	16.4226i	−2.23932	−	0.741898i
$491$	5.38656	+	8.98693i	0.243092	+	0.405575i	0.954958	−	0.296741i	$-0.0958997\pi$
$491$	5.38656	+	8.98693i	0.243092	+	0.405575i	−0.711866	+	0.702315i	$0.752150\pi$
$492$	−10.9283	+	2.15432i	−0.492685	+	0.0971242i
$493$	6.61274	+	5.99344i	0.297823	+	0.269931i
$494$	−14.9997	+	0.355369i	−0.674870	+	0.0159888i
$495$	−46.8785	+	9.32471i	−2.10703	+	0.419115i
$496$	7.18023	−	8.68827i	0.322402	−	0.390115i
$497$	27.6090	+	5.49176i	1.23843	+	0.246339i
$498$	0.942731	−	5.40560i	0.0422448	−	0.242231i
$499$	−2.16271	+	6.04437i	−0.0968162	+	0.270583i	−0.980181	−	0.198102i	$-0.936522\pi$
$499$	−2.16271	+	6.04437i	−0.0968162	+	0.270583i	0.883365	+	0.468685i	$0.155272\pi$
$500$	−14.2433	+	17.2950i	−0.636980	+	0.773457i
$501$	−51.1632	+	7.58934i	−2.28580	+	0.339067i
$502$	−5.32440	−	6.83465i	−0.237640	−	0.305045i
$503$	−7.44613	+	3.98004i	−0.332006	+	0.177461i	−0.628974	−	0.777426i	$-0.716525\pi$
$503$	−7.44613	+	3.98004i	−0.332006	+	0.177461i	0.296967	+	0.954888i	$0.404025\pi$
$504$	39.3748	−	55.6039i	1.75389	−	2.47680i
$505$	−0.485011	−	1.59887i	−0.0215827	−	0.0711487i
$506$	25.0268	+	5.64248i	1.11258	+	0.250839i
$507$	−22.1163	−	10.4602i	−0.982217	−	0.464554i
$508$	30.8718	−	22.8142i	1.36971	−	1.01222i
$509$	−7.12617	+	1.78501i	−0.315862	+	0.0791193i	−0.397669	−	0.917529i	$-0.630181\pi$
$509$	−7.12617	+	1.78501i	−0.315862	+	0.0791193i	0.0818071	+	0.996648i	$0.473931\pi$
$510$	−19.0399	−	9.60434i	−0.843102	−	0.425287i
$511$	56.7422			2.51013
$512$	11.0009	+	19.7732i	0.486177	+	0.873860i
$513$	12.6341			0.557808
$514$	−15.1580	−	7.64617i	−0.668590	−	0.337258i
$515$	27.9285	−	6.99572i	1.23068	−	0.308268i
$516$	−5.50890	+	4.07107i	−0.242516	+	0.179219i
$517$	36.6521	+	17.3352i	1.61196	+	0.762400i
$518$	2.97177	+	0.670007i	0.130572	+	0.0294384i
$519$	−13.2941	−	43.8246i	−0.583544	−	1.92369i
$520$	23.9787	+	16.9801i	1.05154	+	0.744625i
$521$	−8.41944	+	4.50028i	−0.368862	+	0.197161i	−0.645405	−	0.763841i	$-0.723311\pi$
$521$	−8.41944	+	4.50028i	−0.368862	+	0.197161i	0.276543	+	0.961002i	$0.410811\pi$
$522$	16.0818	+	20.6434i	0.703882	+	0.903536i
$523$	−29.3643	+	4.35578i	−1.28401	+	0.190465i	−0.753632	−	0.657296i	$-0.771700\pi$
$523$	−29.3643	+	4.35578i	−1.28401	+	0.190465i	−0.530378	+	0.847761i	$0.677950\pi$
$524$	−4.94840	+	6.00862i	−0.216172	+	0.262488i
$525$	0.0921597	−	0.257569i	0.00402218	−	0.0112412i
$526$	2.15013	−	12.3288i	0.0937502	−	0.537562i
$527$	6.61722	+	1.31625i	0.288251	+	0.0573366i
$528$	4.60772	+	48.4852i	0.200525	+	2.11005i
$529$	−5.21880	+	1.03808i	−0.226904	+	0.0451340i
$530$	−42.0783	+	0.996905i	−1.82776	+	0.0433028i
$531$	−19.1875	−	17.3905i	−0.832667	−	0.754685i
$532$	−21.7011	+	4.27798i	−0.940861	+	0.185474i
$533$	4.72279	+	7.87950i	0.204567	+	0.341299i
$534$	14.7384	+	4.88291i	0.637792	+	0.211304i
$535$	38.8462	−	3.82601i	1.67947	−	0.165413i
$536$	−8.83744	+	22.7361i	−0.381719	+	0.982048i
$537$	−30.4094	−	37.0540i	−1.31226	−	1.59900i
$538$	−8.64186	+	8.21364i	−0.372577	+	0.354115i
$539$	−52.8952	+	47.9414i	−2.27836	+	2.06498i
$540$	−19.8470	−	14.7723i	−0.854078	−	0.635698i
$541$	11.4319	+	15.4142i	0.491496	+	0.662706i	0.977423	−	0.211294i	$-0.0677676\pi$
$541$	11.4319	+	15.4142i	0.491496	+	0.662706i	−0.485926	+	0.874000i	$0.661518\pi$
$542$	−24.5343	−	19.1806i	−1.05384	−	0.823878i
$543$	2.46506	+	1.02106i	0.105786	+	0.0438179i
$544$	−7.29522	+	11.4120i	−0.312780	+	0.489285i
$545$	−30.4501	+	12.6129i	−1.30434	+	0.540276i
$546$	−86.8644	−	24.1187i	−3.71745	−	1.03219i
$547$	6.73815	−	45.4249i	0.288102	−	1.94223i	−0.0441156	−	0.999026i	$-0.514047\pi$
$547$	6.73815	−	45.4249i	0.288102	−	1.94223i	0.332218	−	0.943203i	$-0.392203\pi$
$548$	−9.40071	+	19.7884i	−0.401578	+	0.845316i
$549$	−0.0184535	+	0.375629i	−0.000787575	+	0.0160315i
$550$	0.0437698	+	0.113759i	0.00186635	+	0.00485070i
$551$	0.832674	−	8.45429i	0.0354731	−	0.360165i
$552$	16.4675	+	29.2442i	0.700904	+	1.24471i
$553$	−7.78150	+	9.48179i	−0.330903	+	0.403207i
$554$	1.30850	+	17.9484i	0.0555928	+	0.762554i
$555$	0.679306	−	2.71194i	0.0288349	−	0.115115i
$556$	−17.9085	+	17.8472i	−0.759489	+	0.756891i
$557$	2.81488	−	0.138286i	0.119270	−	0.00585937i	0.0106549	−	0.999943i	$-0.496608\pi$
$557$	2.81488	−	0.138286i	0.119270	−	0.00585937i	0.108615	+	0.994084i	$0.465358\pi$
$558$	18.4509	+	7.13547i	0.781090	+	0.302068i
$559$	4.69732	+	3.13865i	0.198676	+	0.132751i
$560$	39.0924	+	18.6535i	1.65196	+	0.788254i
$561$	−24.2402	+	16.1968i	−1.02342	+	0.683830i
$562$	−4.73965	−	21.1915i	−0.199930	−	0.893909i
$563$	5.32603	−	2.51902i	0.224465	−	0.106164i	−0.312015	−	0.950077i	$-0.601004\pi$
$563$	5.32603	−	2.51902i	0.224465	−	0.106164i	0.536480	+	0.843913i	$0.319754\pi$
$564$	15.3100	+	50.7832i	0.644666	+	2.13836i
$565$	−19.4586	+	26.2369i	−0.818631	+	1.10380i
$566$	−0.700110	+	0.193101i	−0.0294278	+	0.00811665i
$567$	3.48800	+	1.05807i	0.146482	+	0.0444349i
$568$	−15.5668	−	5.18696i	−0.653167	−	0.217640i
$569$	5.22500	+	2.79282i	0.219043	+	0.117081i	0.577269	−	0.816554i	$-0.304118\pi$
$569$	5.22500	+	2.79282i	0.219043	+	0.117081i	−0.358226	+	0.933635i	$0.616618\pi$
$570$	3.45322	+	20.0031i	0.144639	+	0.837836i
$571$	−5.64072	−	15.7648i	−0.236057	−	0.659735i	−0.999897	−	0.0143295i	$-0.995439\pi$
$571$	−5.64072	−	15.7648i	−0.236057	−	0.659735i	0.763841	−	0.645405i	$-0.223311\pi$
$572$	36.3407	−	17.1118i	1.51948	−	0.715480i
$573$	13.7112	−	22.8758i	0.572794	−	0.955649i
$574$	8.83690	+	10.2622i	0.368845	+	0.428335i
$575$	0.0593928	+	0.0593928i	0.00247685	+	0.00247685i
$576$	−26.8213	+	29.2888i	−1.11755	+	1.22037i
$577$	−14.3882	+	14.3882i	−0.598989	+	0.598989i	−0.940043	−	0.341055i	$-0.889216\pi$
$577$	−14.3882	+	14.3882i	−0.598989	+	0.598989i	0.341055	+	0.940043i	$0.389216\pi$
$578$	15.8898	+	1.18579i	0.660931	+	0.0493223i
$579$	33.7927	+	20.2546i	1.40438	+	0.841752i
$580$	−11.1932	+	12.3073i	−0.464771	+	0.511033i
$581$	−6.28150	+	2.24756i	−0.260601	+	0.0932444i
$582$	32.0931	−	45.4860i	1.33030	−	1.88545i
$583$	−27.1247	+	50.7467i	−1.12339	+	2.10171i
$584$	−32.8151	−	4.13298i	−1.35790	−	0.171024i
$585$	−14.9698	+	49.3488i	−0.618925	+	2.04032i
$586$	0.295661	−	0.520874i	0.0122136	−	0.0215171i
$587$	34.7021	+	25.7368i	1.43231	+	1.06227i	0.985880	+	0.167453i	$0.0535542\pi$
$587$	34.7021	+	25.7368i	1.43231	+	1.06227i	0.446428	+	0.894819i	$0.352696\pi$
$588$	−92.9246	−	9.31302i	−3.83215	−	0.384062i
$589$	−2.74584	−	5.80559i	−0.113140	−	0.239215i
$590$	8.81948	−	13.9011i	0.363092	−	0.572300i
$591$	2.02274	+	3.02724i	0.0832044	+	0.124524i
$592$	−1.66983	−	0.603934i	−0.0686294	−	0.0248215i
$593$	−6.70799	+	10.0392i	−0.275464	+	0.412261i	−0.943245	−	0.332096i	$-0.892244\pi$
$593$	−6.70799	+	10.0392i	−0.275464	+	0.412261i	0.667781	+	0.744357i	$0.267244\pi$
$594$	−30.9334	+	13.6802i	−1.26921	+	0.561304i
$595$	1.27221	+	25.8965i	0.0521557	+	1.06165i
$596$	21.4226	+	8.91655i	0.877504	+	0.365236i
$597$	44.0485	+	11.0336i	1.80278	+	0.451574i
$598$	18.0977	−	20.9440i	0.740069	−	0.856462i
$599$	−5.94330	−	4.87754i	−0.242837	−	0.199291i	0.505100	−	0.863061i	$-0.331455\pi$
$599$	−5.94330	−	4.87754i	−0.242837	−	0.199291i	−0.747937	+	0.663770i	$0.768955\pi$
$600$	−0.0720585	+	0.142244i	−0.00294177	+	0.00580710i
$601$	−30.1117	−	2.96575i	−1.22828	−	0.120975i	−0.537014	−	0.843573i	$-0.680448\pi$
$601$	−30.1117	−	2.96575i	−1.22828	−	0.120975i	−0.691269	+	0.722598i	$0.742948\pi$
$602$	7.61096	+	3.38151i	0.310200	+	0.137820i
$603$	−42.7618	−	2.10075i	−1.74139	−	0.0855492i
$604$	23.0218	−	20.7940i	0.936745	−	0.846098i
$605$	−16.8092	−	2.49340i	−0.683390	−	0.101371i
$606$	−1.47062	−	2.60120i	−0.0597398	−	0.105666i
$607$	1.25170	+	3.02187i	0.0508050	+	0.122654i	0.947244	−	0.320512i	$-0.103855\pi$
$607$	1.25170	+	3.02187i	0.0508050	+	0.122654i	−0.896439	+	0.443166i	$0.853855\pi$
$608$	12.8617	−	0.893378i	0.521612	−	0.0362313i
$609$	19.5333	−	47.1576i	0.791530	−	1.91092i
$610$	−0.237315	+	0.0290637i	−0.00960861	+	0.00117676i
$611$	35.1363	−	26.0588i	1.42146	−	1.05423i
$612$	−23.0501	−	5.81572i	−0.931745	−	0.235087i
$613$	−2.97954	−	3.28742i	−0.120343	−	0.132778i	0.677800	−	0.735247i	$-0.262934\pi$
$613$	−2.97954	−	3.28742i	−0.120343	−	0.132778i	−0.798142	+	0.602469i	$0.794184\pi$
$614$	−24.0811	−	0.611796i	−0.971836	−	0.0246901i
$615$	9.60731	−	7.88452i	0.387404	−	0.317934i
$616$	48.5010	−	33.9722i	1.95416	−	1.36878i
$617$	−1.96241	−	19.9247i	−0.0790036	−	0.802137i	−0.950291	−	0.311364i	$-0.899214\pi$
$617$	−1.96241	−	19.9247i	−0.0790036	−	0.802137i	0.871287	−	0.490774i	$-0.163286\pi$
$618$	46.0131	−	23.1117i	1.85092	−	0.929687i
$619$	−0.207671	+	0.124473i	−0.00834700	+	0.00500300i	−0.518270	−	0.855217i	$-0.673424\pi$
$619$	−0.207671	+	0.124473i	−0.00834700	+	0.00500300i	0.509923	+	0.860220i	$0.329674\pi$
$620$	−2.47467	+	12.3306i	−0.0993853	+	0.495209i
$621$	−15.6526	+	17.2700i	−0.628117	+	0.693020i
$622$	−12.9599	−	12.3600i	−0.519644	−	0.495591i
$623$	−3.68276	−	18.5145i	−0.147547	−	0.741767i
$624$	48.4786	+	20.2753i	1.94070	+	0.811663i
$625$	4.85769	−	24.4213i	0.194308	−	0.976851i
$626$	2.57581	+	3.66404i	0.102950	+	0.146444i
$627$	26.1284	+	9.34888i	1.04347	+	0.373358i
$628$	8.19919	+	2.50254i	0.327183	+	0.0998623i
$629$	−0.155961	−	1.05140i	−0.00621855	−	0.0419221i
$630$	−9.37067	+	75.4435i	−0.373337	+	3.00574i
$631$	−6.21789	−	11.6328i	−0.247530	−	0.463096i	0.727217	−	0.686408i	$-0.240813\pi$
$631$	−6.21789	−	11.6328i	−0.247530	−	0.463096i	−0.974747	+	0.223311i	$0.928313\pi$
$632$	5.19082	−	4.91671i	0.206480	−	0.195576i
$633$	66.6571	−	20.2202i	2.64938	−	0.803681i
$634$	12.9870	−	8.20835i	0.515780	−	0.325995i
$635$	−18.3131	+	38.7197i	−0.726732	+	1.53654i
$636$	−73.0506	+	18.1653i	−2.89664	+	0.720301i
$637$	18.7150	+	74.7144i	0.741515	+	2.96029i
$638$	7.11556	+	21.6012i	0.281708	+	0.855199i
$639$		−	28.7986i		−	1.13925i
$640$	−21.2492	−	13.6351i	−0.839948	−	0.538973i
$641$		−	21.9118i		−	0.865464i	−0.901523	−	0.432732i	$-0.857550\pi$
$641$		−	21.9118i		−	0.865464i	0.901523	−	0.432732i	$-0.142450\pi$
$642$	66.3052	−	21.8413i	2.61686	−	0.862007i
$643$	5.36068	+	21.4010i	0.211405	+	0.843975i	0.979137	+	0.203204i	$0.0651353\pi$
$643$	5.36068	+	21.4010i	0.211405	+	0.843975i	−0.767732	+	0.640771i	$0.778615\pi$
$644$	21.0381	−	34.9641i	0.829019	−	1.37778i
$645$	3.26787	−	6.90932i	0.128672	−	0.272054i
$646$	4.12323	+	6.52364i	0.162226	+	0.256669i
$647$	2.78214	−	0.843953i	0.109377	−	0.0331792i	−0.235122	−	0.971966i	$-0.575549\pi$
$647$	2.78214	−	0.843953i	0.109377	−	0.0331792i	0.344499	+	0.938787i	$0.388049\pi$
$648$	−1.94011	−	0.865961i	−0.0762146	−	0.0340182i
$649$	−10.6094	−	19.8487i	−0.416454	−	0.779130i
$650$	0.130506	+	0.0162099i	0.00511888	+	0.000635804i
$651$	−5.66196	−	38.1698i	−0.221910	−	1.49599i
$652$	6.71356	+	12.6121i	0.262923	+	0.493928i
$653$	−38.6605	−	13.8329i	−1.51290	−	0.541325i	−0.555860	−	0.831276i	$-0.687611\pi$
$653$	−38.6605	−	13.8329i	−1.51290	−	0.541325i	−0.957041	+	0.289952i	$0.906361\pi$
$654$	−48.2215	+	33.8997i	−1.88561	+	1.32558i
$655$	1.69443	−	8.51845i	0.0662067	−	0.332843i
$656$	−4.36307	−	6.57847i	−0.170349	−	0.256846i
$657$	−11.3250	−	56.9345i	−0.441829	−	2.22123i
$658$	44.5074	−	46.6675i	1.73508	−	1.81929i
$659$	21.6112	−	23.8443i	0.841853	−	0.928842i	−0.156414	−	0.987692i	$-0.549993\pi$
$659$	21.6112	−	23.8443i	0.841853	−	0.928842i	0.998267	+	0.0588497i	$0.0187433\pi$
$660$	−30.1142	−	45.2366i	−1.17219	−	1.76083i
$661$	−26.3397	+	15.7874i	−1.02450	+	0.614059i	−0.924600	−	0.380938i	$-0.875601\pi$
$661$	−26.3397	+	15.7874i	−1.02450	+	0.614059i	−0.0998959	+	0.994998i	$0.531851\pi$
$662$	−14.1556	−	28.1825i	−0.550174	−	1.09534i
$663$	3.08308	+	31.3030i	0.119737	+	1.21571i
$664$	3.79642	−	0.842273i	0.147329	−	0.0326865i
$665$	19.0779	−	15.6569i	0.739810	−	0.607147i
$666$	0.0791527	−	3.11556i	0.00306711	−	0.120725i
$667$	10.5248	+	11.6124i	0.407524	+	0.449633i
$668$	−18.7909	−	31.4728i	−0.727041	−	1.21772i
$669$	−14.1962	+	10.5286i	−0.548856	+	0.407059i
$670$	−3.30862	−	27.0160i	−0.127823	−	1.04372i
$671$	−0.125082	+	0.301975i	−0.00482875	+	0.0116576i
$672$	75.5099	+	17.2963i	2.91286	+	0.667219i
$673$	10.4876	+	25.3194i	0.404268	+	0.975990i	0.986618	+	0.163051i	$0.0521336\pi$
$673$	10.4876	+	25.3194i	0.404268	+	0.975990i	−0.582349	+	0.812939i	$0.697866\pi$
$674$	−17.7519	+	10.0363i	−0.683779	+	0.386583i
$675$	−0.109539	−	0.0162485i	−0.00421615	−	0.000625406i
$676$	0.880410	−	17.3159i	0.0338619	−	0.665996i
$677$	23.3267	+	1.14597i	0.896517	+	0.0440430i	0.492107	−	0.870535i	$-0.336227\pi$
$677$	23.3267	+	1.14597i	0.896517	+	0.0440430i	0.404410	+	0.914578i	$0.367477\pi$
$678$	−23.7197	+	53.3874i	−0.910950	+	2.05033i
$679$	−67.3570	−	6.63409i	−2.58492	−	0.254593i
$680$	1.15050	−	15.0691i	0.0441196	−	0.577873i
$681$	8.91779	+	7.31864i	0.341731	+	0.280451i
$682$	13.0092	+	11.2413i	0.498149	+	0.430451i
$683$	−0.166967	−	0.0418231i	−0.00638882	−	0.00160032i	0.239784	−	0.970826i	$-0.422923\pi$
$683$	−0.166967	−	0.0418231i	−0.00638882	−	0.00160032i	−0.246173	+	0.969226i	$0.579173\pi$
$684$	8.62372	+	20.9208i	0.329736	+	0.799926i
$685$	−1.19944	−	24.4153i	−0.0458284	−	0.932859i
$686$	26.4959	+	59.9123i	1.01162	+	2.28746i
$687$	15.6637	−	23.4424i	0.597607	−	0.894383i
$688$	−4.15526	−	2.50996i	−0.158418	−	0.0956912i
$689$	34.4913	+	51.6198i	1.31401	+	1.96656i
$690$	−31.6212	−	20.0618i	−1.20380	−	0.763741i
$691$	−16.8754	−	35.6801i	−0.641971	−	1.35733i	−0.918152	−	0.396228i	$-0.870319\pi$
$691$	−16.8754	−	35.6801i	−0.641971	−	1.35733i	0.276181	−	0.961106i	$-0.410931\pi$
$692$	25.1238	−	20.5466i	0.955063	−	0.781066i
$693$	83.4780	+	61.9115i	3.17107	+	2.35182i
$694$	−23.8468	−	13.5360i	−0.905213	−	0.513821i
$695$	8.18919	−	26.9961i	0.310634	−	1.02402i
$696$	−14.7313	+	25.8494i	−0.558390	+	0.979818i
$697$	2.22742	−	4.16722i	0.0843697	−	0.157845i
$698$	−15.4055	−	10.8696i	−0.583109	−	0.411419i
$699$	−28.4487	+	10.1791i	−1.07603	+	0.385009i
$700$	0.193652	−	0.00918105i	0.00731937	−	0.000347011i
$701$	−22.5803	−	13.5341i	−0.852847	−	0.511177i	0.0196441	−	0.999807i	$-0.493747\pi$
$701$	−22.5803	−	13.5341i	−0.852847	−	0.511177i	−0.872491	+	0.488630i	$0.837497\pi$
$702$	−2.71576	+	36.3918i	−0.102500	+	1.37352i
$703$	−0.715419	+	0.715419i	−0.0269826	+	0.0269826i
$704$	−30.5235	+	16.1140i	−1.15040	+	0.607320i
$705$	−41.8486	−	41.8486i	−1.57611	−	1.57611i
$706$	25.7912	−	22.2092i	0.970666	−	0.835853i
$707$	−1.86776	+	3.11618i	−0.0702445	+	0.117196i
$708$	9.96639	−	27.7045i	0.374560	−	1.04120i
$709$	4.25997	+	11.9058i	0.159987	+	0.447132i	0.994610	−	0.103689i	$-0.0330646\pi$
$709$	4.25997	+	11.9058i	0.159987	+	0.447132i	−0.834623	+	0.550821i	$0.814315\pi$
$710$	18.0414	−	3.11456i	0.677080	−	0.116887i
$711$	11.0670	+	5.91543i	0.415045	+	0.221846i
$712$	0.781254	+	10.9755i	0.0292787	+	0.411325i
$713$	11.3377	+	3.43927i	0.424602	+	0.128802i
$714$	12.3292	+	44.7008i	0.461408	+	1.67289i
$715$	−26.6988	+	35.9992i	−0.998480	+	1.34629i
$716$	16.0651	−	29.9322i	0.600379	−	1.11862i
$717$	−18.7013	+	8.84507i	−0.698414	+	0.330325i
$718$	−22.1056	+	4.94410i	−0.824974	+	0.184512i
$719$	28.7285	−	19.1958i	1.07139	−	0.715882i	0.110801	−	0.993843i	$-0.464658\pi$
$719$	28.7285	−	19.1958i	1.07139	−	0.715882i	0.960592	+	0.277961i	$0.0896585\pi$
$720$	10.9144	−	42.9478i	0.406755	−	1.60057i
$721$	−52.0538	−	34.7812i	−1.93858	−	1.29532i
$722$	−7.04219	+	18.2097i	−0.262083	+	0.677696i
$723$	−34.8067	+	1.70994i	−1.29447	+	0.0635935i
$724$	−0.00323897	+	1.89090i	−0.000120375	+	0.0702747i
$725$	−0.0180923	+	0.0722286i	−0.000671932	+	0.00268250i
$726$	−30.3105	+	2.20974i	−1.12493	+	0.0820111i
$727$	15.2329	−	18.5613i	0.564957	−	0.688402i	−0.409671	−	0.912233i	$-0.634357\pi$
$727$	15.2329	−	18.5613i	0.564957	−	0.688402i	0.974628	+	0.223832i	$0.0718566\pi$
$728$	−7.65775	−	63.4284i	−0.283815	−	2.35081i
$729$	−4.23463	+	42.9949i	−0.156838	+	1.59240i
$730$	34.4428	−	13.2522i	1.27479	−	0.490485i
$731$	0.142583	−	2.90234i	0.00527362	−	0.107347i
$732$	−0.402844	+	0.143362i	−0.0148895	+	0.00529881i
$733$	−2.13621	+	14.4011i	−0.0789026	+	0.531918i	0.913300	+	0.407286i	$0.133525\pi$
$733$	−2.13621	+	14.4011i	−0.0789026	+	0.531918i	−0.992203	+	0.124632i	$0.960225\pi$
$734$	2.83345	−	10.2048i	0.104584	−	0.376664i
$735$	96.2724	−	39.8773i	3.55106	−	1.47090i
$736$	−14.7135	+	18.6880i	−0.542345	+	0.688849i
$737$	−34.3770	−	14.2394i	−1.26629	−	0.524516i
$738$	8.53322	−	10.9150i	0.314112	−	0.401788i
$739$	22.5824	+	30.4488i	0.830706	+	1.12008i	0.991113	+	0.133026i	$0.0424694\pi$
$739$	22.5824	+	30.4488i	0.830706	+	1.12008i	−0.160407	+	0.987051i	$0.551281\pi$
$740$	1.96036	−	0.287360i	0.0720641	−	0.0105636i
$741$	22.1847	−	20.1070i	0.814974	−	0.738650i
$742$	63.0512	+	66.3384i	2.31468	+	2.43536i
$743$	30.4008	+	37.0435i	1.11530	+	1.35899i	0.926199	+	0.377035i	$0.123056\pi$
$743$	30.4008	+	37.0435i	1.11530	+	1.35899i	0.189098	+	0.981958i	$0.439444\pi$
$744$	0.494210	+	22.4867i	0.0181186	+	0.824404i
$745$	−25.7665	+	2.53778i	−0.944010	+	0.0929769i
$746$	8.46916	−	25.5630i	0.310078	−	0.935927i
$747$	3.50887	+	5.85420i	0.128383	+	0.214194i
$748$	−17.1592	−	11.5079i	−0.627401	−	0.420772i
$749$	−62.8896	−	56.9998i	−2.29794	−	2.08273i
$750$	−1.05896	−	44.6975i	−0.0386677	−	1.63212i
$751$	−22.8472	+	4.54458i	−0.833705	+	0.165834i	−0.593445	−	0.804874i	$-0.702233\pi$
$751$	−22.8472	+	4.54458i	−0.833705	+	0.165834i	−0.240260	+	0.970709i	$0.577233\pi$
$752$	−29.1386	+	23.7469i	−1.06258	+	0.865959i
$753$	16.9567	+	3.37289i	0.617936	+	0.122915i
$754$	24.1731	+	4.21577i	0.880334	+	0.153529i
$755$	−11.6614	+	32.5914i	−0.424402	+	1.18612i
$756$	5.18139	+	53.5477i	0.188445	+	1.94751i
$757$	8.02908	−	1.19100i	0.291822	−	0.0432877i	0.000785598	−	1.00000i	$-0.499750\pi$
$757$	8.02908	−	1.19100i	0.291822	−	0.0432877i	0.291036	+	0.956712i	$0.406000\pi$
$758$	−31.9029	+	24.8534i	−1.15877	+	0.902714i
$759$	−45.1502	+	24.1333i	−1.63885	+	0.875983i
$760$	−12.1735	+	7.66505i	−0.441580	+	0.278041i
$761$	15.5470	+	51.2517i	0.563580	+	1.85787i	0.511597	+	0.859226i	$0.329054\pi$
$761$	15.5470	+	51.2517i	0.563580	+	1.85787i	0.0519829	+	0.998648i	$0.483446\pi$
$762$	−16.8476	+	74.7265i	−0.610325	+	2.70706i
$763$	64.7861	+	30.6415i	2.34541	+	1.10930i
$764$	18.6916	+	2.80536i	0.676237	+	0.101494i
$765$	25.7303	−	6.44511i	0.930282	−	0.233023i
$766$	3.46957	−	6.87817i	0.125361	−	0.248519i
$767$	−24.2826			−0.876792
$768$	−42.4089	−	15.5027i	−1.53030	−	0.559407i
$769$	9.80581			0.353607			0.176803	−	0.984246i	$-0.443424\pi$
$769$	9.80581			0.353607			0.176803	+	0.984246i	$0.443424\pi$
$770$	−29.7574	+	58.9920i	−1.07238	+	2.12592i
$771$	32.8634	−	8.23185i	1.18355	−	0.296463i
$772$	−4.14416	+	27.6117i	−0.149152	+	0.993767i
$773$	9.24211	+	4.37119i	0.332415	+	0.157221i	0.586474	−	0.809968i	$-0.300516\pi$
$773$	9.24211	+	4.37119i	0.332415	+	0.157221i	−0.254059	+	0.967189i	$0.581766\pi$
$774$	1.87392	−	8.31165i	0.0673568	−	0.298756i
$775$	0.0163402	+	0.0538664i	0.000586957	+	0.00193494i
$776$	38.4706	+	8.74275i	1.38101	+	0.313847i
$777$	−5.36129	+	2.86567i	−0.192335	+	0.102805i
$778$	25.9279	−	20.1986i	0.929560	−	0.724156i
$779$	−4.44909	+	0.659961i	−0.159405	+	0.0236455i
$780$	−58.3601	+	5.64704i	−2.08963	+	0.202197i
$781$	8.43204	−	23.5660i	0.301722	−	0.843256i
$782$	−14.0257	−	2.44607i	−0.501560	−	0.0874714i
$783$	−20.2652	−	4.03100i	−0.724220	−	0.144056i
$784$	−18.9953	−	63.4003i	−0.678405	−	2.26430i
$785$	−9.38149	+	1.86609i	−0.334840	+	0.0666038i
$786$	−0.367902	−	15.5288i	−0.0131226	−	0.553893i
$787$	−34.8986	−	31.6302i	−1.24400	−	1.12750i	−0.986938	−	0.161100i	$-0.948496\pi$
$787$	−34.8986	−	31.6302i	−1.24400	−	1.12750i	−0.257061	−	0.966395i	$-0.582754\pi$
$788$	−1.43717	+	2.14292i	−0.0511971	+	0.0763384i
$789$	12.8391	+	21.4208i	0.457085	+	0.762600i
$790$	−2.50893	+	7.57286i	−0.0892638	+	0.269430i
$791$	70.6860	−	6.96197i	2.51331	−	0.247539i
$792$	−43.7674	−	41.8849i	−1.55521	−	1.48832i
$793$	0.223721	+	0.272605i	0.00794457	+	0.00968048i
$794$	4.41460	+	4.64476i	0.156668	+	0.164836i
$795$	62.2340	−	56.4056i	2.20721	−	2.00050i
$796$	4.66743	+	31.8409i	0.165433	+	1.12857i
$797$	−16.0989	−	21.7068i	−0.570252	−	0.768896i	0.420099	−	0.907478i	$-0.361995\pi$
$797$	−16.0989	−	21.7068i	−0.570252	−	0.768896i	−0.990351	+	0.138583i	$0.955745\pi$
$798$	27.1852	−	34.7732i	0.962346	−	1.23096i
$799$	−20.7879	−	8.61064i	−0.735424	−	0.304623i
$800$	−0.112661	−	0.00879564i	−0.00398319	−	0.000310973i
$801$	−17.8422	+	7.39047i	−0.630422	+	0.261130i
$802$	10.5337	−	37.9376i	0.371959	−	1.33962i
$803$	7.40279	−	49.9055i	0.261239	−	1.76113i
$804$	−16.3204	−	45.8599i	−0.575575	−	1.61735i
$805$	−2.23409	+	45.4759i	−0.0787412	+	1.60281i
$806$	17.3129	−	6.66130i	0.609822	−	0.234634i
$807$	2.33199	−	23.6771i	0.0820900	−	0.833473i
$808$	1.30714	−	1.66610i	0.0459850	−	0.0586132i
$809$	19.5089	−	23.7716i	0.685895	−	0.835766i	−0.307374	−	0.951589i	$-0.599450\pi$
$809$	19.5089	−	23.7716i	0.685895	−	0.835766i	0.993270	+	0.115823i	$0.0369504\pi$
$810$	2.36434	−	0.172369i	0.0830746	−	0.00605642i
$811$	−0.800568	+	3.19605i	−0.0281117	+	0.112228i	−0.982463	−	0.186459i	$-0.940299\pi$
$811$	−0.800568	+	3.19605i	−0.0281117	+	0.112228i	0.954351	+	0.298687i	$0.0965488\pi$
$812$	36.1737	+	0.0619628i	1.26945	+	0.00217447i
$813$	62.0701	−	3.04931i	2.17689	−	0.106944i
$814$	0.976986	−	2.52630i	0.0342434	−	0.0885466i
$815$	−13.2554	−	8.85698i	−0.464316	−	0.310246i
$816$	−3.87428	−	26.7494i	−0.135627	−	0.936415i
$817$	−2.29985	+	1.53671i	−0.0804616	+	0.0537627i
$818$	−25.0536	+	5.60345i	−0.875980	+	0.195920i
$819$	101.368	−	47.9433i	3.54207	−	1.67528i
$820$	7.76077	+	4.16533i	0.271018	+	0.145460i
$821$	23.9557	−	32.3005i	0.836060	−	1.12730i	−0.154197	−	0.988040i	$-0.549279\pi$
$821$	23.9557	−	32.3005i	0.836060	−	1.12730i	0.990256	−	0.139256i	$-0.0444710\pi$
$822$	−11.6240	−	42.1440i	−0.405432	−	1.46994i
$823$	19.3862	+	5.88073i	0.675760	+	0.204989i	0.609468	−	0.792811i	$-0.291383\pi$
$823$	19.3862	+	5.88073i	0.675760	+	0.204989i	0.0662919	+	0.997800i	$0.478883\pi$
$824$	27.5703	+	23.9061i	0.960456	+	0.832809i
$825$	−0.214512	−	0.114659i	−0.00746835	−	0.00399192i
$826$	−35.2754	+	6.08975i	−1.22739	+	0.211889i
$827$	−0.895853	−	2.50374i	−0.0311519	−	0.0870636i	0.924961	−	0.380061i	$-0.124097\pi$
$827$	−0.895853	−	2.50374i	−0.0311519	−	0.0870636i	−0.956113	+	0.292998i	$0.905347\pi$
$828$	−39.2814	−	14.1311i	−1.36512	−	0.491089i
$829$	24.2964	−	40.5361i	0.843849	−	1.40788i	−0.0681450	−	0.997675i	$-0.521708\pi$
$829$	24.2964	−	40.5361i	0.843849	−	1.40788i	0.911995	−	0.410202i	$-0.134542\pi$
$830$	−3.28798	+	2.83132i	−0.114128	+	0.0982767i
$831$	−25.3933	−	25.3933i	−0.880885	−	0.880885i
$832$	−0.191367	+	37.2396i	−0.00663446	+	1.29105i
$833$	28.0138	−	28.0138i	0.970620	−	0.970620i
$834$	3.75466	−	50.3133i	0.130013	−	1.74221i
$835$	35.0814	+	21.0270i	1.21404	+	0.727668i
$836$	0.931345	+	19.6445i	0.0322112	+	0.679419i
$837$	−14.7071	+	5.26229i	−0.508353	+	0.181891i
$838$	−15.9920	−	11.2833i	−0.552433	−	0.389776i
$839$	−2.52948	+	4.73232i	−0.0873272	+	0.163378i	−0.921793	−	0.387681i	$-0.873276\pi$
$839$	−2.52948	+	4.73232i	−0.0873272	+	0.163378i	0.834466	+	0.551059i	$0.185776\pi$
$840$	−83.3638	+	22.8394i	−2.87632	+	0.788035i
$841$	4.38523	−	14.4562i	0.151215	−	0.498489i
$842$	−31.0856	−	17.6450i	−1.07128	−	0.608086i
$843$	34.8054	+	25.8134i	1.19876	+	0.889062i
$844$	31.2514	+	38.2132i	1.07572	+	1.31535i
$845$	8.27148	+	17.4886i	0.284547	+	0.601625i
$846$	−55.7087	−	35.3440i	−1.91530	−	1.21515i
$847$	20.5284	+	30.7230i	0.705366	+	1.05565i
$848$	−31.6317	−	42.9573i	−1.08624	−	1.47516i
$849$	0.805164	−	1.20501i	0.0276332	−	0.0413559i
$850$	−0.0273588	−	0.0618635i	−0.000938400	−	0.00212190i
$851$	−0.0915861	−	1.86428i	−0.00313953	−	0.0639066i
$852$	30.2720	−	12.4784i	1.03710	−	0.427502i
$853$	−4.68411	−	1.17331i	−0.160381	−	0.0401733i	0.161958	−	0.986798i	$-0.448219\pi$
$853$	−4.68411	−	1.17331i	−0.160381	−	0.0401733i	−0.322339	+	0.946624i	$0.604469\pi$
$854$	0.393366	+	0.339908i	0.0134607	+	0.0116314i
$855$	−19.5176	−	16.0177i	−0.667487	−	0.547793i
$856$	32.2185	+	37.5448i	1.10120	+	1.28325i
$857$	17.1447	+	1.68860i	0.585650	+	0.0576815i	0.386503	−	0.922288i	$-0.373683\pi$
$857$	17.1447	+	1.68860i	0.585650	+	0.0576815i	0.199147	+	0.979970i	$0.436183\pi$
$858$	−32.5454	+	73.2518i	−1.11108	+	2.50077i
$859$	−48.7986	−	2.39732i	−1.66499	−	0.0817955i	−0.805382	−	0.592757i	$-0.798040\pi$
$859$	−48.7986	−	2.39732i	−1.66499	−	0.0817955i	−0.859604	+	0.510961i	$0.829290\pi$
$860$	5.40964	+	0.275048i	0.184467	+	0.00937906i
$861$	−26.7322	−	3.96535i	−0.911031	−	0.135139i
$862$	−3.52023	+	1.99021i	−0.119900	+	0.0677867i
$863$	−7.75955	−	18.7332i	−0.264138	−	0.637686i	0.735048	−	0.678015i	$-0.237159\pi$
$863$	−7.75955	−	18.7332i	−0.264138	−	0.637686i	−0.999186	+	0.0403288i	$0.987159\pi$
$864$	0.903801	−	31.3450i	0.0307479	−	1.06638i
$865$	−13.8585	+	33.4573i	−0.471203	+	1.13758i
$866$	−0.895813	−	7.31462i	−0.0304410	−	0.248561i
$867$	−25.5394	+	18.9413i	−0.867365	+	0.643282i
$868$	23.4800	−	14.0188i	0.796964	−	0.475828i
$869$	7.32416	+	8.08096i	0.248455	+	0.274128i
$870$	0.843134	−	33.1869i	0.0285849	−	1.12514i
$871$	−31.0334	+	25.4685i	−1.05153	+	0.862967i
$872$	−35.2352	−	22.4395i	−1.19321	−	0.759896i
$873$	6.78697	+	68.9093i	0.229704	+	2.33223i
$874$	6.08290	+	12.1105i	0.205757	+	0.409643i
$875$	−46.6259	+	27.9465i	−1.57624	+	0.944765i
$876$	54.9404	−	36.5740i	1.85626	−	1.23572i
$877$	15.2822	−	16.8613i	0.516044	−	0.569367i	−0.426057	−	0.904696i	$-0.640098\pi$
$877$	15.2822	−	16.8613i	0.516044	−	0.569367i	0.942101	+	0.335330i	$0.108848\pi$
$878$	29.8194	−	31.2666i	1.00636	−	1.05520i
$879$	0.233171	+	1.17223i	0.00786466	+	0.0395383i
$880$	21.5061	−	31.9487i	0.724971	−	1.07699i
$881$	−6.49378	+	32.6464i	−0.218781	+	1.09989i	0.702707	+	0.711479i	$0.251974\pi$
$881$	−6.49378	+	32.6464i	−0.218781	+	1.09989i	−0.921488	+	0.388407i	$0.873026\pi$
$882$	95.0304	−	66.8063i	3.19984	−	2.24949i
$883$	36.4742	+	13.0507i	1.22745	+	0.439190i	0.869212	−	0.494439i	$-0.164626\pi$
$883$	36.4742	+	13.0507i	1.22745	+	0.439190i	0.358242	+	0.933629i	$0.383376\pi$
$884$	−19.6773	+	10.4744i	−0.661820	+	0.352294i
$885$	4.82039	+	32.4965i	0.162036	+	1.09236i
$886$	12.4627	+	1.54796i	0.418693	+	0.0520049i
$887$	10.9925	+	20.5655i	0.369092	+	0.690522i	0.996075	−	0.0885102i	$-0.0282106\pi$
$887$	10.9925	+	20.5655i	0.369092	+	0.690522i	−0.626983	+	0.779033i	$0.715711\pi$
$888$	3.30926	−	1.26676i	0.111051	−	0.0425098i
$889$	89.1247	−	27.0357i	2.98915	−	0.906748i
$890$	−6.55952	−	10.3783i	−0.219876	−	0.347880i
$891$	1.38565	−	2.92970i	0.0464209	−	0.0981487i
$892$	−10.7326	−	6.45787i	−0.359353	−	0.216225i
$893$	5.20413	+	20.7760i	0.174149	+	0.695244i
$894$	−43.9799	+	14.4872i	−1.47091	+	0.484525i
$895$			37.9046i			1.26701i
$896$	9.06120	+	54.1462i	0.302713	+	1.80890i
$897$			55.2360i			1.84428i
$898$	10.7576	+	32.6577i	0.358987	+	1.08980i
$899$	2.55204	+	10.1883i	0.0851153	+	0.339799i
$900$	−0.0478625	−	0.192476i	−0.00159542	−	0.00641587i
$901$	13.6531	−	28.8670i	0.454849	−	0.961698i
$902$	10.1786	−	6.43333i	0.338911	−	0.214206i
$903$	−15.9038	+	4.82437i	−0.529246	+	0.160545i
$904$	−41.3861	−	1.12238i	−1.37648	−	0.0373298i
$905$	−0.994584	−	1.86074i	−0.0330611	−	0.0618529i
$906$	−7.63061	+	61.4342i	−0.253510	+	2.04102i
$907$	−7.70603	−	51.9498i	−0.255875	−	1.72497i	−0.612285	−	0.790637i	$-0.709750\pi$
$907$	−7.70603	−	51.9498i	−0.255875	−	1.72497i	0.356411	−	0.934329i	$-0.384000\pi$
$908$	−2.38670	+	7.81965i	−0.0792054	+	0.259504i
$909$	3.49952	+	1.25215i	0.116072	+	0.0415311i
$910$	40.9978	+	58.3185i	1.35906	+	1.93324i
$911$	4.87107	−	24.4885i	0.161386	−	0.811341i	−0.812264	−	0.583290i	$-0.801765\pi$
$911$	4.87107	−	24.4885i	0.161386	−	0.811341i	0.973649	−	0.228050i	$-0.0732350\pi$
$912$	−18.2545	+	18.1299i	−0.604468	+	0.600340i
$913$	1.15725	+	5.81789i	0.0382994	+	0.192544i
$914$	25.1789	+	24.0134i	0.832843	+	0.794294i
$915$	0.320406	−	0.353513i	0.0105923	−	0.0116868i
$916$	19.5901	+	3.93162i	0.647277	+	0.129904i
$917$	−16.1987	+	9.70915i	−0.534929	+	0.320624i
$918$	16.7736	−	8.42510i	0.553610	−	0.278070i
$919$	0.883524	+	8.97057i	0.0291448	+	0.295912i	0.998697	+	0.0510281i	$0.0162498\pi$
$919$	0.883524	+	8.97057i	0.0291448	+	0.295912i	−0.969552	+	0.244884i	$0.921250\pi$
$920$	4.60438	−	26.1368i	0.151802	−	0.861705i
$921$	37.1587	−	30.4954i	1.22442	−	1.00486i
$922$	−23.2498	−	0.590675i	−0.765691	−	0.0194529i
$923$	−18.1351	−	20.0090i	−0.596925	−	0.658605i
$924$	−28.9083	+	114.575i	−0.951012	+	3.76925i
$925$	0.00712285	−	0.00528266i	0.000234198	−	0.000173693i
$926$	49.7455	−	6.09227i	1.63474	−	0.200204i
$927$	−24.5098	+	59.1720i	−0.805009	+	1.94346i
$928$	−20.9154	−	2.67065i	−0.686582	−	0.0876683i
$929$	−1.38695	−	3.34839i	−0.0455044	−	0.109857i	0.899493	−	0.436935i	$-0.143936\pi$
$929$	−1.38695	−	3.34839i	−0.0455044	−	0.109857i	−0.944997	+	0.327078i	$0.893936\pi$
$930$	−12.3514	−	21.8469i	−0.405019	−	0.716388i
$931$	−37.3028	−	5.53335i	−1.22255	−	0.181348i
$932$	−14.3529	−	15.8906i	−0.470145	−	0.520515i
$933$	35.6946	+	1.75357i	1.16859	+	0.0574092i
$934$	20.3092	+	9.02329i	0.664539	+	0.295251i
$935$	22.9423	+	2.25962i	0.750293	+	0.0738974i
$936$	−62.1149	+	20.3431i	−2.03029	+	0.664936i
$937$	−23.7922	−	19.5258i	−0.777258	−	0.637879i	0.159762	−	0.987156i	$-0.448927\pi$
$937$	−23.7922	−	19.5258i	−0.777258	−	0.637879i	−0.937020	+	0.349277i	$0.886427\pi$
$938$	−38.6953	+	44.7810i	−1.26345	+	1.46215i
$939$	−8.66979	−	2.17167i	−0.282928	−	0.0708698i
$940$	16.1170	−	38.7221i	0.525678	−	1.26298i
$941$	−1.40497	−	28.5988i	−0.0458007	−	0.932295i	−0.906246	−	0.422752i	$-0.861064\pi$
$941$	−1.40497	−	28.5988i	−0.0458007	−	0.932295i	0.860445	−	0.509544i	$-0.170186\pi$
$942$	−15.6452	+	6.91901i	−0.509748	+	0.225433i
$943$	4.60994	−	6.89926i	0.150120	−	0.224671i
$944$	20.8440	−	0.952430i	0.678414	−	0.0309990i
$945$	−33.3495	−	49.9110i	−1.08486	−	1.62360i
$946$	3.96703	−	6.25278i	0.128979	−	0.203295i
$947$	−3.66295	−	7.74465i	−0.119030	−	0.251667i	0.835674	−	0.549226i	$-0.185077\pi$
$947$	−3.66295	−	7.74465i	−0.119030	−	0.251667i	−0.954703	+	0.297559i	$0.903827\pi$
$948$	−1.42278	+	14.1964i	−0.0462097	+	0.461077i
$949$	−43.7215	−	32.4260i	−1.41926	−	1.05259i
$950$	−0.0317847	+	0.0559960i	−0.00103123	+	0.00181675i
$951$	−8.89967	+	29.3383i	−0.288592	+	0.951359i
$952$	−25.9585	+	20.1511i	−0.841320	+	0.653101i
$953$	17.0818	−	31.9577i	0.553333	−	1.03521i	−0.437385	−	0.899275i	$-0.644095\pi$
$953$	17.0818	−	31.9577i	0.553333	−	1.03521i	0.990717	−	0.135938i	$-0.0434048\pi$
$954$	53.9790	−	76.5051i	1.74764	−	2.47694i
$955$	−19.8568	+	7.10487i	−0.642551	+	0.229908i
$956$	−10.8463	−	9.86438i	−0.350793	−	0.319037i
$957$	−38.9274	−	23.3322i	−1.25834	−	0.754222i
$958$	−24.7095	−	1.84396i	−0.798328	−	0.0595757i
$959$	−37.5850	+	37.5850i	−1.21368	+	1.21368i
$960$	49.8744	−	7.13643i	1.60969	−	0.230327i
$961$	−16.3058	−	16.3058i	−0.525994	−	0.525994i
$962$	−1.90694	−	2.21451i	−0.0614824	−	0.0713987i
$963$	−44.6410	+	74.4790i	−1.43854	+	2.40005i
$964$	−10.5210	−	22.3438i	−0.338860	−	0.719646i
$965$	−10.4955	−	29.3330i	−0.337863	−	0.944263i
$966$	13.8525	+	80.2416i	0.445696	+	2.58173i
$967$	−6.52533	−	3.48786i	−0.209840	−	0.112162i	0.363129	−	0.931739i	$-0.381709\pi$
$967$	−6.52533	−	3.48786i	−0.209840	−	0.112162i	−0.572969	+	0.819577i	$0.694209\pi$
$968$	−9.63418	−	19.2629i	−0.309654	−	0.619134i
$969$	−14.7372	−	4.47049i	−0.473428	−	0.143613i
$970$	−42.4354	+	11.7043i	−1.36252	+	0.375804i
$971$	26.9990	−	36.4040i	0.866441	−	1.16826i	−0.118082	−	0.993004i	$-0.537675\pi$
$971$	26.9990	−	36.4040i	0.866441	−	1.16826i	0.984523	−	0.175256i	$-0.0560754\pi$
$972$	−27.7853	+	8.37663i	−0.891214	+	0.268681i
$973$	−55.4530	+	26.2273i	−1.77774	+	0.840808i
$974$	0.522765	+	2.33734i	0.0167505	+	0.0748932i
$975$	−0.218203	+	0.145798i	−0.00698808	+	0.00466928i
$976$	−0.202733	−	0.225227i	−0.00648932	−	0.00720935i
$977$	5.09496	+	3.40434i	0.163002	+	0.108915i	0.634396	−	0.773008i	$-0.281249\pi$
$977$	5.09496	+	3.40434i	0.163002	+	0.108915i	−0.471394	+	0.881923i	$0.656249\pi$
$978$	−26.5921	−	10.2839i	−0.850323	−	0.328843i
$979$	−16.7642	+	0.823572i	−0.535786	+	0.0263215i
$980$	52.1295	+	52.3084i	1.66522	+	1.67093i
$981$	17.8149	−	71.1212i	0.568787	−	2.27073i
$982$	−1.07739	−	14.7783i	−0.0343809	−	0.471596i
$983$	−32.8847	+	40.0701i	−1.04886	+	1.27804i	−0.0894595	+	0.995990i	$0.528514\pi$
$983$	−32.8847	+	40.0701i	−1.04886	+	1.27804i	−0.959400	+	0.282049i	$0.908986\pi$
$984$	15.1709	+	4.24035i	0.483631	+	0.135177i
$985$	0.282193	−	2.86515i	0.00899141	−	0.0912913i
$986$	−4.53229	−	11.7795i	−0.144337	−	0.375137i
$987$	−6.31445	+	128.534i	−0.200991	+	4.09127i
$988$	19.1660	+	9.10504i	0.609751	+	0.289670i
$989$	0.748742	−	5.04761i	0.0238086	−	0.160505i
$990$	65.1310	+	18.0842i	2.07000	+	0.574755i
$991$	−46.7757	+	19.3751i	−1.48588	+	0.615471i	−0.970416	−	0.241440i	$-0.922380\pi$
$991$	−46.7757	+	19.3751i	−1.48588	+	0.615471i	−0.515464	+	0.856911i	$0.672380\pi$
$992$	−14.6000	+	6.39708i	−0.463551	+	0.203108i
$993$	58.1440	+	24.0840i	1.84514	+	0.764284i
$994$	−31.3630	−	24.5192i	−0.994774	−	0.777701i
$995$	−21.3902	−	28.8414i	−0.678115	−	0.914333i
$996$	−4.63334	+	6.22502i	−0.146813	+	0.197247i
$997$	−33.6857	+	30.5309i	−1.06684	+	0.966923i	−0.999525	−	0.0308090i	$-0.990192\pi$
$997$	−33.6857	+	30.5309i	−1.06684	+	0.966923i	−0.0673100	+	0.997732i	$0.521442\pi$
$998$	6.58061	−	6.25452i	0.208306	−	0.197983i
$999$	1.56113	+	1.90224i	0.0493919	+	0.0601842i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	256.2.m.a.101.6	✓	992
256.109	even	64	inner	256.2.m.a.109.6	yes	992

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
256.2.m.a.101.6	✓	992	1.1	even	1	trivial
256.2.m.a.109.6	yes	992	256.109	even	64	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 256 = 2^{8} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	256.m (of order \(64\), degree \(32\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.26266 - 0.636928i) q^{2} +(2.73753 - 0.685715i) q^{3} +(1.18865 + 1.60845i) q^{4} +(-2.01734 - 0.954131i) q^{5} +(-3.89333 - 0.877780i) q^{6} +(1.40859 + 4.64350i) q^{7} +(-0.476391 - 2.78802i) q^{8} +(4.37809 - 2.34014i) q^{9} +O(q^{10})\)	\(q+(-1.26266 - 0.636928i) q^{2} +(2.73753 - 0.685715i) q^{3} +(1.18865 + 1.60845i) q^{4} +(-2.01734 - 0.954131i) q^{5} +(-3.89333 - 0.877780i) q^{6} +(1.40859 + 4.64350i) q^{7} +(-0.476391 - 2.78802i) q^{8} +(4.37809 - 2.34014i) q^{9} +(1.93951 + 2.48965i) q^{10} +(4.26779 - 0.633066i) q^{11} +(4.35689 + 3.58812i) q^{12} +(1.56823 - 4.38290i) q^{13} +(1.17900 - 6.76035i) q^{14} +(-6.17679 - 1.22864i) q^{15} +(-1.17425 + 3.82376i) q^{16} +(-2.34835 + 0.467116i) q^{17} +(-7.01857 + 0.166282i) q^{18} +(1.68873 + 1.53057i) q^{19} +(-0.863226 - 4.37892i) q^{20} +(7.04017 + 11.7458i) q^{21} +(-5.79200 - 1.91892i) q^{22} +(-4.18439 + 0.412126i) q^{23} +(-3.21592 - 7.30561i) q^{24} +(-0.0126730 - 0.0154421i) q^{25} +(-4.77173 + 4.53528i) q^{26} +(4.10737 - 3.72270i) q^{27} +(-5.79454 + 7.78512i) q^{28} +(-2.22040 - 2.99386i) q^{29} +(7.01666 + 5.48553i) q^{30} +(-2.60333 - 1.07833i) q^{31} +(3.91814 - 4.08022i) q^{32} +(11.2491 - 4.65952i) q^{33} +(3.26270 + 0.905919i) q^{34} +(1.58890 - 10.7115i) q^{35} +(8.96801 + 4.26036i) q^{36} +(-0.0217822 + 0.443386i) q^{37} +(-1.15743 - 3.00820i) q^{38} +(1.28764 - 13.0737i) q^{39} +(-1.69909 + 6.07892i) q^{40} +(-1.25195 + 1.52550i) q^{41} +(-1.40814 - 19.3151i) q^{42} +(-0.294886 + 1.17725i) q^{43} +(6.09114 + 6.11204i) q^{44} +(-11.0649 + 0.543584i) q^{45} +(5.54598 + 2.14478i) q^{46} +(7.81364 + 5.22091i) q^{47} +(-0.592519 + 11.2729i) q^{48} +(-13.7577 + 9.19257i) q^{49} +(0.00616624 + 0.0275699i) q^{50} +(-6.10836 + 2.88904i) q^{51} +(8.91375 - 2.68729i) q^{52} +(-7.94468 + 10.7122i) q^{53} +(-7.55732 + 2.08443i) q^{54} +(-9.21360 - 2.79492i) q^{55} +(12.2751 - 6.13930i) q^{56} +(5.67248 + 3.03200i) q^{57} +(0.896744 + 5.19447i) q^{58} +(-1.75736 - 4.91150i) q^{59} +(-5.36580 - 11.3955i) q^{60} +(-0.0389473 + 0.0649797i) q^{61} +(2.60031 + 3.01970i) q^{62} +(17.0334 + 17.0334i) q^{63} +(-7.54610 + 2.65638i) q^{64} +(-7.34550 + 7.34550i) q^{65} +(-17.1716 - 1.28144i) q^{66} +(-7.39731 - 4.43378i) q^{67} +(-3.54269 - 3.22197i) q^{68} +(-11.1723 + 3.99751i) q^{69} +(-8.82869 + 12.5130i) q^{70} +(2.73465 - 5.11618i) q^{71} +(-8.61004 - 11.0914i) q^{72} +(3.39446 - 11.1900i) q^{73} +(0.309909 - 0.545975i) q^{74} +(-0.0452815 - 0.0335830i) q^{75} +(-0.454558 + 4.53555i) q^{76} +(8.95120 + 18.9257i) q^{77} +(-9.95285 + 15.6875i) q^{78} +(1.40438 + 2.10180i) q^{79} +(6.01722 - 6.59344i) q^{80} +(0.417321 - 0.624565i) q^{81} +(2.55243 - 1.12880i) q^{82} +(0.0674618 + 1.37322i) q^{83} +(-10.5243 + 25.2854i) q^{84} +(5.18311 + 1.29830i) q^{85} +(1.12217 - 1.29865i) q^{86} +(-8.13133 - 6.67321i) q^{87} +(-3.79814 - 11.5971i) q^{88} +(-3.87152 - 0.381311i) q^{89} +(14.3175 + 6.36118i) q^{90} +(22.5610 + 1.10835i) q^{91} +(-5.63664 - 6.24052i) q^{92} +(-7.86611 - 1.16683i) q^{93} +(-6.54067 - 11.5690i) q^{94} +(-1.94637 - 4.69895i) q^{95} +(7.92815 - 13.8564i) q^{96} +(-5.33775 + 12.8865i) q^{97} +(23.2263 - 2.84450i) q^{98} +(17.2033 - 12.7588i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9}+O(q^{10}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{10} - 32 q^{11} - 32 q^{12} - 32 q^{13} - 32 q^{14} - 32 q^{15} - 32 q^{16} - 32 q^{17} - 32 q^{18} - 32 q^{19} - 32 q^{20} - 32 q^{21} - 32 q^{22} - 32 q^{23} - 32 q^{24} - 32 q^{25} - 32 q^{26} - 32 q^{27} - 32 q^{28} - 32 q^{29} - 32 q^{30} - 32 q^{31} - 32 q^{32} - 32 q^{33} - 32 q^{34} - 32 q^{35} - 32 q^{36} - 32 q^{37} - 32 q^{38} - 32 q^{39} - 32 q^{40} - 32 q^{41} - 32 q^{42} - 32 q^{43} - 32 q^{44} - 32 q^{45} - 32 q^{46} - 32 q^{47} - 32 q^{48} - 32 q^{49} - 32 q^{50} - 32 q^{51} - 32 q^{52} - 32 q^{53} - 32 q^{54} - 32 q^{55} - 32 q^{56} - 32 q^{57} - 32 q^{58} - 32 q^{59} - 32 q^{60} - 32 q^{61} - 32 q^{62} - 32 q^{63} - 32 q^{64} - 32 q^{65} - 32 q^{66} - 32 q^{67} - 32 q^{68} - 32 q^{69} - 32 q^{70} - 32 q^{71} - 32 q^{72} - 32 q^{73} - 32 q^{74} - 32 q^{75} - 32 q^{76} - 32 q^{77} - 32 q^{78} - 32 q^{79} - 32 q^{80} - 32 q^{81} - 32 q^{82} - 32 q^{83} - 32 q^{84} - 32 q^{85} - 32 q^{86} - 32 q^{87} - 32 q^{88} - 32 q^{89} - 32 q^{90} - 32 q^{91} - 32 q^{92} - 32 q^{93} - 32 q^{94} - 32 q^{95} - 32 q^{96} - 32 q^{97} - 32 q^{98} - 32 q^{99}+O(q^{100}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9 - 32 * q^10 - 32 * q^11 - 32 * q^12 - 32 * q^13 - 32 * q^14 - 32 * q^15 - 32 * q^16 - 32 * q^17 - 32 * q^18 - 32 * q^19 - 32 * q^20 - 32 * q^21 - 32 * q^22 - 32 * q^23 - 32 * q^24 - 32 * q^25 - 32 * q^26 - 32 * q^27 - 32 * q^28 - 32 * q^29 - 32 * q^30 - 32 * q^31 - 32 * q^32 - 32 * q^33 - 32 * q^34 - 32 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^38 - 32 * q^39 - 32 * q^40 - 32 * q^41 - 32 * q^42 - 32 * q^43 - 32 * q^44 - 32 * q^45 - 32 * q^46 - 32 * q^47 - 32 * q^48 - 32 * q^49 - 32 * q^50 - 32 * q^51 - 32 * q^52 - 32 * q^53 - 32 * q^54 - 32 * q^55 - 32 * q^56 - 32 * q^57 - 32 * q^58 - 32 * q^59 - 32 * q^60 - 32 * q^61 - 32 * q^62 - 32 * q^63 - 32 * q^64 - 32 * q^65 - 32 * q^66 - 32 * q^67 - 32 * q^68 - 32 * q^69 - 32 * q^70 - 32 * q^71 - 32 * q^72 - 32 * q^73 - 32 * q^74 - 32 * q^75 - 32 * q^76 - 32 * q^77 - 32 * q^78 - 32 * q^79 - 32 * q^80 - 32 * q^81 - 32 * q^82 - 32 * q^83 - 32 * q^84 - 32 * q^85 - 32 * q^86 - 32 * q^87 - 32 * q^88 - 32 * q^89 - 32 * q^90 - 32 * q^91 - 32 * q^92 - 32 * q^93 - 32 * q^94 - 32 * q^95 - 32 * q^96 - 32 * q^97 - 32 * q^98 - 32 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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