LMFDB - Embedded newform 95.2.r.a.2.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(2,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([9, 2]))

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

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

chi := DirichletCharacter("95.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.r (of order $36$, degree $12$, 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:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			2.8
Character	$\chi$	$=$	95.2
Dual form			95.2.r.a.48.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.31842 + 1.88289i) q^{2} +(0.0291608 + 0.333309i) q^{3} +(-1.12303 + 3.08549i) q^{4} +(-1.96769 - 1.06216i) q^{5} +(-0.589140 + 0.494347i) q^{6} +(0.282738 - 1.05519i) q^{7} +(-2.84973 + 0.763583i) q^{8} +(2.84418 - 0.501505i) q^{9} +O(q^{10})$	\(q+(1.31842 + 1.88289i) q^{2} +(0.0291608 + 0.333309i) q^{3} +(-1.12303 + 3.08549i) q^{4} +(-1.96769 - 1.06216i) q^{5} +(-0.589140 + 0.494347i) q^{6} +(0.282738 - 1.05519i) q^{7} +(-2.84973 + 0.763583i) q^{8} +(2.84418 - 0.501505i) q^{9} +(-0.594310 - 5.10532i) q^{10} +(0.454581 - 0.787357i) q^{11} +(-1.06117 - 0.284340i) q^{12} +(-2.13403 - 0.186703i) q^{13} +(2.35958 - 0.858817i) q^{14} +(0.296648 - 0.686824i) q^{15} +(-0.164249 - 0.137821i) q^{16} +(-1.23292 + 0.863300i) q^{17} +(4.69409 + 4.69409i) q^{18} +(-3.39576 - 2.73291i) q^{19} +(5.48705 - 4.87847i) q^{20} +(0.359950 + 0.0634690i) q^{21} +(2.08184 - 0.182137i) q^{22} +(-7.05313 + 3.28893i) q^{23} +(-0.337610 - 0.927575i) q^{24} +(2.74364 + 4.18000i) q^{25} +(-2.46200 - 4.26430i) q^{26} +(0.509884 + 1.90291i) q^{27} +(2.93826 + 2.05739i) q^{28} +(-1.08928 - 6.17764i) q^{29} +(1.68432 - 0.346964i) q^{30} +(3.92386 - 2.26544i) q^{31} +(-0.471310 + 5.38709i) q^{32} +(0.275689 + 0.128556i) q^{33} +(-3.25100 - 1.18327i) q^{34} +(-1.67712 + 1.77598i) q^{35} +(-1.64670 + 9.33888i) q^{36} +(7.47953 - 7.47953i) q^{37} +(0.668763 - 9.99697i) q^{38} -0.716737i q^{39} +(6.41844 + 1.52437i) q^{40} +(-4.59540 + 5.47659i) q^{41} +(0.355059 + 0.761427i) q^{42} +(-1.92558 + 4.12943i) q^{43} +(1.91887 + 2.28683i) q^{44} +(-6.12915 - 2.03416i) q^{45} +(-15.4917 - 8.94412i) q^{46} +(-6.83296 + 9.75847i) q^{47} +(0.0411475 - 0.0587647i) q^{48} +(5.02869 + 2.90331i) q^{49} +(-4.25324 + 10.6770i) q^{50} +(-0.323699 - 0.385769i) q^{51} +(2.97264 - 6.37485i) q^{52} +(-1.04592 - 2.24298i) q^{53} +(-2.91074 + 3.46889i) q^{54} +(-1.73077 + 1.06644i) q^{55} +3.22291i q^{56} +(0.811883 - 1.21153i) q^{57} +(10.1957 - 10.1957i) q^{58} +(0.443312 - 2.51415i) q^{59} +(1.78605 + 1.68663i) q^{60} +(-0.234183 - 0.0852357i) q^{61} +(9.43886 + 4.40141i) q^{62} +(0.274972 - 3.14295i) q^{63} +(-11.1361 + 6.42942i) q^{64} +(4.00081 + 2.63405i) q^{65} +(0.121416 + 0.688584i) q^{66} +(7.54653 + 5.28414i) q^{67} +(-1.27910 - 4.77367i) q^{68} +(-1.30191 - 2.25497i) q^{69} +(-5.55513 - 0.816358i) q^{70} +(2.90257 + 7.97473i) q^{71} +(-7.72220 + 3.60092i) q^{72} +(6.65286 - 0.582050i) q^{73} +(23.9443 + 4.22203i) q^{74} +(-1.31323 + 1.03637i) q^{75} +(12.2459 - 7.40844i) q^{76} +(-0.702285 - 0.702285i) q^{77} +(1.34954 - 0.944957i) q^{78} +(-4.80677 - 4.03336i) q^{79} +(0.176804 + 0.445648i) q^{80} +(7.52226 - 2.73788i) q^{81} +(-16.3705 - 1.43223i) q^{82} +(-0.217902 - 0.0583867i) q^{83} +(-0.600066 + 1.03935i) q^{84} +(3.34297 - 0.389154i) q^{85} +(-10.3140 + 1.81864i) q^{86} +(2.02730 - 0.543214i) q^{87} +(-0.694220 + 2.59086i) q^{88} +(10.4217 - 8.74483i) q^{89} +(-4.25067 - 14.2224i) q^{90} +(-0.800379 + 2.19902i) q^{91} +(-2.22710 - 25.4559i) q^{92} +(0.869516 + 1.24180i) q^{93} -27.3828 q^{94} +(3.77903 + 8.98437i) q^{95} -1.80931 q^{96} +(-7.78495 - 11.1181i) q^{97} +(1.16327 + 13.2963i) q^{98} +(0.898045 - 2.46736i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8}+O(q^{10}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26} - 18 q^{27} - 6 q^{30} - 36 q^{31} + 18 q^{32} + 90 q^{33} - 30 q^{35} + 24 q^{36} + 54 q^{38} + 54 q^{40} + 12 q^{41} + 24 q^{42} + 48 q^{43} + 12 q^{45} - 36 q^{46} - 24 q^{47} + 60 q^{48} + 126 q^{50} - 96 q^{51} - 30 q^{53} + 18 q^{55} - 66 q^{57} + 120 q^{58} + 84 q^{60} - 48 q^{61} + 60 q^{62} - 126 q^{63} + 72 q^{65} + 72 q^{66} + 108 q^{67} + 18 q^{68} + 36 q^{70} - 24 q^{71} + 48 q^{72} + 6 q^{73} + 60 q^{76} + 168 q^{77} - 138 q^{78} - 60 q^{80} - 120 q^{81} + 60 q^{82} - 36 q^{85} - 180 q^{86} - 6 q^{87} - 198 q^{88} - 270 q^{90} - 24 q^{91} - 72 q^{92} - 90 q^{93} - 24 q^{95} - 192 q^{96} - 72 q^{97} - 90 q^{98}+O(q^{100}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.31842	+	1.88289i	0.932261	+	1.33141i	0.943466	+	0.331469i	$0.107544\pi$
$2$	1.31842	+	1.88289i	0.932261	+	1.33141i	−0.0112050	+	0.999937i	$0.503567\pi$
$3$	0.0291608	+	0.333309i	0.0168360	+	0.192436i	0.999955	+	0.00946989i	$0.00301441\pi$
$3$	0.0291608	+	0.333309i	0.0168360	+	0.192436i	−0.983119	+	0.182966i	$0.941430\pi$
$4$	−1.12303	+	3.08549i	−0.561513	+	1.54274i
$5$	−1.96769	−	1.06216i	−0.879980	−	0.475011i
$5$	−1.96769	−	1.06216i	−0.879980	−	0.475011i
$6$	−0.589140	+	0.494347i	−0.240515	+	0.201816i
$7$	0.282738	−	1.05519i	0.106865	−	0.398825i	−0.891685	−	0.452656i	$-0.850477\pi$
$7$	0.282738	−	1.05519i	0.106865	−	0.398825i	0.998550	+	0.0538310i	$0.0171432\pi$
$8$	−2.84973	+	0.763583i	−1.00753	+	0.269967i
$9$	2.84418	−	0.501505i	0.948059	−	0.167168i
$10$	−0.594310	−	5.10532i	−0.187937	−	1.61445i
$11$	0.454581	−	0.787357i	0.137061	−	0.237397i	−0.789322	−	0.613980i	$-0.789568\pi$
$11$	0.454581	−	0.787357i	0.137061	−	0.237397i	0.926383	+	0.376583i	$0.122901\pi$
$12$	−1.06117	−	0.284340i	−0.306334	−	0.0820819i
$13$	−2.13403	−	0.186703i	−0.591873	−	0.0517822i	−0.212716	−	0.977114i	$-0.568231\pi$
$13$	−2.13403	−	0.186703i	−0.591873	−	0.0517822i	−0.379158	+	0.925332i	$0.623786\pi$
$14$	2.35958	−	0.858817i	0.630624	−	0.229528i
$15$	0.296648	−	0.686824i	0.0765941	−	0.177337i
$16$	−0.164249	−	0.137821i	−0.0410622	−	0.0344553i
$17$	−1.23292	+	0.863300i	−0.299027	+	0.209381i	−0.713455	−	0.700701i	$-0.752871\pi$
$17$	−1.23292	+	0.863300i	−0.299027	+	0.209381i	0.414428	+	0.910082i	$0.363982\pi$
$18$	4.69409	+	4.69409i	1.10641	+	1.10641i
$19$	−3.39576	−	2.73291i	−0.779041	−	0.626974i
$19$	−3.39576	−	2.73291i	−0.779041	−	0.626974i
$20$	5.48705	−	4.87847i	1.22694	−	1.09086i
$21$	0.359950	+	0.0634690i	0.0785476	+	0.0138501i
$22$	2.08184	−	0.182137i	0.443849	−	0.0388317i
$23$	−7.05313	+	3.28893i	−1.47068	+	0.685789i	−0.982381	−	0.186887i	$-0.940160\pi$
$23$	−7.05313	+	3.28893i	−1.47068	+	0.685789i	−0.488298	+	0.872677i	$0.662382\pi$
$24$	−0.337610	−	0.927575i	−0.0689143	−	0.189341i
$25$	2.74364	+	4.18000i	0.548728	+	0.836001i
$26$	−2.46200	−	4.26430i	−0.482837	−	0.836299i
$27$	0.509884	+	1.90291i	0.0981272	+	0.366216i
$28$	2.93826	+	2.05739i	0.555279	+	0.388811i
$29$	−1.08928	−	6.17764i	−0.202275	−	1.14716i	−0.901670	−	0.432424i	$-0.857658\pi$
$29$	−1.08928	−	6.17764i	−0.202275	−	1.14716i	0.699395	−	0.714735i	$-0.253453\pi$
$30$	1.68432	−	0.346964i	0.307514	−	0.0633467i
$31$	3.92386	−	2.26544i	0.704746	−	0.406885i	−0.104367	−	0.994539i	$-0.533282\pi$
$31$	3.92386	−	2.26544i	0.704746	−	0.406885i	0.809113	+	0.587654i	$0.199948\pi$
$32$	−0.471310	+	5.38709i	−0.0833166	+	0.952313i
$33$	0.275689	+	0.128556i	0.0479914	+	0.0223787i
$34$	−3.25100	−	1.18327i	−0.557542	−	0.202929i
$35$	−1.67712	+	1.77598i	−0.283485	+	0.300196i
$36$	−1.64670	+	9.33888i	−0.274450	+	1.55648i
$37$	7.47953	−	7.47953i	1.22963	−	1.22963i	0.265523	−	0.964104i	$-0.414455\pi$
$37$	7.47953	−	7.47953i	1.22963	−	1.22963i	0.964104	−	0.265523i	$-0.0855447\pi$
$38$	0.668763	−	9.99697i	0.108488	−	1.62172i
$39$		−	0.716737i		−	0.114770i
$40$	6.41844	+	1.52437i	1.01485	+	0.241023i
$41$	−4.59540	+	5.47659i	−0.717681	+	0.855299i	−0.994403	−	0.105651i	$-0.966307\pi$
$41$	−4.59540	+	5.47659i	−0.717681	+	0.855299i	0.276722	+	0.960950i	$0.410752\pi$
$42$	0.355059	+	0.761427i	0.0547868	+	0.117491i
$43$	−1.92558	+	4.12943i	−0.293649	+	0.629732i	−0.996679	−	0.0814279i	$-0.974052\pi$
$43$	−1.92558	+	4.12943i	−0.293649	+	0.629732i	0.703030	+	0.711160i	$0.251830\pi$
$44$	1.91887	+	2.28683i	0.289281	+	0.344752i
$45$	−6.12915	−	2.03416i	−0.913680	−	0.303234i
$46$	−15.4917	−	8.94412i	−2.28412	−	1.31874i
$47$	−6.83296	+	9.75847i	−0.996689	+	1.42342i	−0.0927839	+	0.995686i	$0.529577\pi$
$47$	−6.83296	+	9.75847i	−0.996689	+	1.42342i	−0.903905	+	0.427733i	$0.859312\pi$
$48$	0.0411475	−	0.0587647i	0.00593912	−	0.00848195i
$49$	5.02869	+	2.90331i	0.718384	+	0.414759i
$50$	−4.25324	+	10.6770i	−0.601499	+	1.50995i
$51$	−0.323699	−	0.385769i	−0.0453269	−	0.0540185i
$52$	2.97264	−	6.37485i	0.412231	−	0.884033i
$53$	−1.04592	−	2.24298i	−0.143668	−	0.308097i	0.821286	−	0.570517i	$-0.193257\pi$
$53$	−1.04592	−	2.24298i	−0.143668	−	0.308097i	−0.964954	+	0.262420i	$0.915479\pi$
$54$	−2.91074	+	3.46889i	−0.396102	+	0.472056i
$55$	−1.73077	+	1.06644i	−0.233377	+	0.143799i
$56$			3.22291i			0.430679i
$57$	0.811883	−	1.21153i	0.107537	−	0.160471i
$58$	10.1957	−	10.1957i	1.33876	−	1.33876i
$59$	0.443312	−	2.51415i	0.0577143	−	0.327314i	−0.942257	−	0.334891i	$-0.891301\pi$
$59$	0.443312	−	2.51415i	0.0577143	−	0.327314i	0.999971	+	0.00757669i	$0.00241176\pi$
$60$	1.78605	+	1.68663i	0.230578	+	0.217742i
$61$	−0.234183	−	0.0852357i	−0.0299841	−	0.0109133i	0.326985	−	0.945030i	$-0.393967\pi$
$61$	−0.234183	−	0.0852357i	−0.0299841	−	0.0109133i	−0.356969	+	0.934116i	$0.616190\pi$
$62$	9.43886	+	4.40141i	1.19874	+	0.558980i
$63$	0.274972	−	3.14295i	0.0346433	−	0.395974i
$64$	−11.1361	+	6.42942i	−1.39201	+	0.803677i
$65$	4.00081	+	2.63405i	0.496239	+	0.326714i
$66$	0.121416	+	0.688584i	0.0149453	+	0.0847588i
$67$	7.54653	+	5.28414i	0.921956	+	0.645560i	0.935112	−	0.354353i	$-0.115299\pi$
$67$	7.54653	+	5.28414i	0.921956	+	0.645560i	−0.0131559	+	0.999913i	$0.504188\pi$
$68$	−1.27910	−	4.77367i	−0.155114	−	0.578892i
$69$	−1.30191	−	2.25497i	−0.156731	−	0.271466i
$70$	−5.55513	−	0.816358i	−0.663965	−	0.0975734i
$71$	2.90257	+	7.97473i	0.344471	+	0.946427i	0.984080	+	0.177726i	$0.0568741\pi$
$71$	2.90257	+	7.97473i	0.344471	+	0.946427i	−0.639609	+	0.768701i	$0.720904\pi$
$72$	−7.72220	+	3.60092i	−0.910070	+	0.424373i
$73$	6.65286	−	0.582050i	0.778658	−	0.0681238i	0.309105	−	0.951028i	$-0.399971\pi$
$73$	6.65286	−	0.582050i	0.778658	−	0.0681238i	0.469553	+	0.882904i	$0.344415\pi$
$74$	23.9443	+	4.22203i	2.78347	+	0.490801i
$75$	−1.31323	+	1.03637i	−0.151639	+	0.119670i
$76$	12.2459	−	7.40844i	1.40470	−	0.849807i
$77$	−0.702285	−	0.702285i	−0.0800328	−	0.0800328i
$78$	1.34954	−	0.944957i	0.152805	−	0.106995i
$79$	−4.80677	−	4.03336i	−0.540803	−	0.453788i	0.331009	−	0.943628i	$-0.392611\pi$
$79$	−4.80677	−	4.03336i	−0.540803	−	0.453788i	−0.871813	+	0.489840i	$0.837055\pi$
$80$	0.176804	+	0.445648i	0.0197672	+	0.0498250i
$81$	7.52226	−	2.73788i	0.835807	−	0.304209i
$82$	−16.3705	−	1.43223i	−1.80782	−	0.158163i
$83$	−0.217902	−	0.0583867i	−0.0239178	−	0.00640877i	0.246840	−	0.969056i	$-0.420608\pi$
$83$	−0.217902	−	0.0583867i	−0.0239178	−	0.00640877i	−0.270758	+	0.962647i	$0.587274\pi$
$84$	−0.600066	+	1.03935i	−0.0654726	+	0.113402i
$85$	3.34297	−	0.389154i	0.362596	−	0.0422097i
$86$	−10.3140	+	1.81864i	−1.11219	+	0.196108i
$87$	2.02730	−	0.543214i	0.217350	−	0.0582386i
$88$	−0.694220	+	2.59086i	−0.0740041	+	0.276187i
$89$	10.4217	−	8.74483i	1.10470	−	0.926951i	0.106965	−	0.994263i	$-0.465887\pi$
$89$	10.4217	−	8.74483i	1.10470	−	0.926951i	0.997732	+	0.0673123i	$0.0214424\pi$
$90$	−4.25067	−	14.2224i	−0.448060	−	1.49917i
$91$	−0.800379	+	2.19902i	−0.0839025	+	0.230520i
$92$	−2.22710	−	25.4559i	−0.232192	−	2.65396i
$93$	0.869516	+	1.24180i	0.0901646	+	0.128768i
$94$	−27.3828			−2.82432
$95$	3.77903	+	8.98437i	0.387720	+	0.921777i
$96$	−1.80931			−0.184662
$97$	−7.78495	−	11.1181i	−0.790442	−	1.12887i	−0.988874	−	0.148753i	$-0.952474\pi$
$97$	−7.78495	−	11.1181i	−0.790442	−	1.12887i	0.198432	−	0.980115i	$-0.436415\pi$
$98$	1.16327	+	13.2963i	0.117508	+	1.34313i
$99$	0.898045	−	2.46736i	0.0902569	−	0.247979i
$100$	−15.9785	+	3.77122i	−1.59785	+	0.377122i
$101$	10.7952	−	9.05824i	1.07416	−	0.901328i	0.0787384	−	0.996895i	$-0.474911\pi$
$101$	10.7952	−	9.05824i	1.07416	−	0.901328i	0.995423	+	0.0955669i	$0.0304664\pi$
$102$	0.299593	−	1.11810i	0.0296641	−	0.110708i
$103$	−7.94148	+	2.12791i	−0.782498	+	0.209670i	−0.627886	−	0.778306i	$-0.716079\pi$
$103$	−7.94148	+	2.12791i	−0.782498	+	0.209670i	−0.154612	+	0.987975i	$0.549413\pi$
$104$	6.22397	−	1.09745i	0.610311	−	0.107614i
$105$	−0.640858	−	0.507212i	−0.0625414	−	0.0494988i
$106$	2.84434	−	4.92654i	0.276266	−	0.478508i
$107$	−9.88619	−	2.64900i	−0.955734	−	0.256088i	−0.252941	−	0.967482i	$-0.581398\pi$
$107$	−9.88619	−	2.64900i	−0.955734	−	0.256088i	−0.702794	+	0.711394i	$0.748064\pi$
$108$	−6.44403	−	0.563780i	−0.620077	−	0.0542497i
$109$	0.358229	−	0.130385i	0.0343121	−	0.0124886i	−0.324807	−	0.945780i	$-0.605299\pi$
$109$	0.358229	−	0.130385i	0.0343121	−	0.0124886i	0.359119	+	0.933292i	$0.383077\pi$
$110$	−4.28987	−	1.85285i	−0.409023	−	0.176662i
$111$	2.71111	+	2.27489i	0.257327	+	0.215923i
$112$	−0.191867	+	0.134347i	−0.0181297	+	0.0126946i
$113$	6.83708	+	6.83708i	0.643179	+	0.643179i	0.951336	−	0.308157i	$-0.0997122\pi$
$113$	6.83708	+	6.83708i	0.643179	+	0.643179i	−0.308157	+	0.951336i	$0.599712\pi$
$114$	3.35159	−	0.0686146i	0.313905	−	0.00642635i
$115$	17.3718	+	1.01993i	1.61993	+	0.0951092i
$116$	20.2843	+	3.57668i	1.88335	+	0.332086i
$117$	−6.16320	+	0.539210i	−0.569788	+	0.0498500i
$118$	5.31834	−	2.47998i	0.489593	−	0.228301i
$119$	0.562354	+	1.54505i	0.0515509	+	0.141635i
$120$	−0.320919	+	2.18378i	−0.0292957	+	0.199351i
$121$	5.08671	+	8.81045i	0.462428	+	0.800950i
$122$	−0.148261	−	0.553318i	−0.0134229	−	0.0500951i
$123$	−1.95940	−	1.37199i	−0.176673	−	0.123708i
$124$	2.58340	+	14.6512i	0.231996	+	1.31571i
$125$	−0.958823	−	11.1391i	−0.0857597	−	0.996316i
$126$	6.28037	−	3.62597i	0.559499	−	0.323027i
$127$	0.160223	−	1.83136i	0.0142175	−	0.162507i	−0.985767	−	0.168119i	$-0.946231\pi$
$127$	0.160223	−	1.83136i	0.0142175	−	0.162507i	0.999984	+	0.00561197i	$0.00178636\pi$
$128$	−16.9859	−	7.92064i	−1.50135	−	0.700092i
$129$	−1.43253	−	0.521398i	−0.126127	−	0.0459065i
$130$	0.315093	+	11.0059i	0.0276355	+	0.965279i
$131$	−0.135174	+	0.766611i	−0.0118102	+	0.0669791i	−0.990143	−	0.140058i	$-0.955271\pi$
$131$	−0.135174	+	0.766611i	−0.0118102	+	0.0669791i	0.978333	+	0.207037i	$0.0663821\pi$
$132$	−0.706265	+	0.706265i	−0.0614724	+	0.0614724i
$133$	−3.84386	+	2.81048i	−0.333305	+	0.243699i
$134$			21.1760i			1.82933i
$135$	1.01790	−	4.28593i	0.0876067	−	0.368874i
$136$	2.85429	−	3.40161i	0.244753	−	0.291686i
$137$	−1.76496	−	3.78496i	−0.150791	−	0.323371i	0.816374	−	0.577524i	$-0.195981\pi$
$137$	−1.76496	−	3.78496i	−0.150791	−	0.323371i	−0.967164	+	0.254153i	$0.918203\pi$
$138$	2.52941	−	5.42434i	0.215318	−	0.461750i
$139$	9.27490	+	11.0534i	0.786686	+	0.937536i	0.999215	−	0.0396186i	$-0.0126143\pi$
$139$	9.27490	+	11.0534i	0.786686	+	0.937536i	−0.212529	+	0.977155i	$0.568170\pi$
$140$	−3.59632	−	7.16922i	−0.303945	−	0.605909i
$141$	−3.45185	−	1.99292i	−0.290698	−	0.167834i
$142$	−11.1888	+	15.9792i	−0.938942	+	1.34095i
$143$	−1.11709	+	1.59537i	−0.0934158	+	0.133412i
$144$	−0.536271	−	0.309616i	−0.0446892	−	0.0258013i
$145$	−4.41825	+	13.3127i	−0.366916	+	1.10556i
$146$	9.86718	+	11.7592i	0.816613	+	0.973202i
$147$	−0.821062	+	1.76077i	−0.0677200	+	0.145226i
$148$	14.6783	+	31.4777i	1.20655	+	2.58745i
$149$	−11.0863	+	13.2122i	−0.908227	+	1.08238i	0.0880455	+	0.996116i	$0.471938\pi$
$149$	−11.0863	+	13.2122i	−0.908227	+	1.08238i	−0.996272	+	0.0862659i	$0.972507\pi$
$150$	−3.68276	−	1.10630i	−0.300696	−	0.0903287i
$151$		−	21.2078i		−	1.72586i	−0.505320	−	0.862932i	$-0.668625\pi$
$151$		−	21.2078i		−	1.72586i	0.505320	−	0.862932i	$-0.331375\pi$
$152$	11.7638	+	5.19513i	0.954171	+	0.421380i
$153$	−3.07369	+	3.07369i	−0.248493	+	0.248493i
$154$	0.396424	−	2.24823i	0.0319448	−	0.181168i
$155$	−10.1272	+	0.289937i	−0.813437	+	0.0232883i
$156$	2.21148	+	0.804914i	0.177060	+	0.0644447i
$157$	4.48064	+	2.08936i	0.357594	+	0.166749i	0.593110	−	0.805122i	$-0.297900\pi$
$157$	4.48064	+	2.08936i	0.357594	+	0.166749i	−0.235515	+	0.971871i	$0.575678\pi$
$158$	1.25706	−	14.3683i	0.100006	−	1.14308i
$159$	0.717107	−	0.414022i	0.0568703	−	0.0328341i
$160$	6.64934	−	10.0995i	0.525676	−	0.798439i
$161$	1.47626	+	8.37231i	0.116346	+	0.659831i
$162$	15.0726	+	10.5539i	1.18422	+	0.829197i
$163$	−3.59357	−	13.4114i	−0.281470	−	1.05046i	−0.951380	−	0.308018i	$-0.900334\pi$
$163$	−3.59357	−	13.4114i	−0.281470	−	1.05046i	0.669910	−	0.742442i	$-0.266332\pi$
$164$	−11.7372	−	20.3294i	−0.916520	−	1.58746i
$165$	−0.405926	−	0.545785i	−0.0316013	−	0.0424893i
$166$	−0.177350	−	0.487264i	−0.0137650	−	0.0378190i
$167$	11.8240	−	5.51364i	0.914971	−	0.426658i	0.0926609	−	0.995698i	$-0.470463\pi$
$167$	11.8240	−	5.51364i	0.914971	−	0.426658i	0.822310	+	0.569040i	$0.192685\pi$
$168$	−1.07423	+	0.0939825i	−0.0828783	+	0.00725091i
$169$	−8.28327	−	1.46056i	−0.637175	−	0.112351i
$170$	5.14016	+	5.78139i	0.394232	+	0.443412i
$171$	−11.0287	−	6.06990i	−0.843387	−	0.464177i
$172$	−10.5788	−	10.5788i	−0.806628	−	0.806628i
$173$	−2.36420	+	1.65543i	−0.179746	+	0.125860i	−0.659987	−	0.751277i	$-0.729438\pi$
$173$	−2.36420	+	1.65543i	−0.179746	+	0.125860i	0.480241	+	0.877137i	$0.340549\pi$
$174$	3.69564	+	3.10101i	0.280166	+	0.235087i
$175$	5.18644	−	1.71322i	0.392058	−	0.129507i
$176$	−0.183179	+	0.0666716i	−0.0138076	+	0.00502556i
$177$	0.850916	+	0.0744455i	0.0639588	+	0.00559567i
$178$	30.2057	+	8.09360i	2.26401	+	0.606641i
$179$	−5.86898	+	10.1654i	−0.438668	+	0.759796i	−0.997587	−	0.0694265i	$-0.977883\pi$
$179$	−5.86898	+	10.1654i	−0.438668	+	0.759796i	0.558919	+	0.829222i	$0.311216\pi$
$180$	13.1596	−	16.6270i	0.980856	−	1.23930i
$181$	−15.5664	+	2.74478i	−1.15704	+	0.204018i	−0.719049	−	0.694959i	$-0.755423\pi$
$181$	−15.5664	+	2.74478i	−1.15704	+	0.204018i	−0.437995	+	0.898977i	$0.644311\pi$
$182$	−5.19576	+	1.39220i	−0.385135	+	0.103197i
$183$	0.0215809	−	0.0805411i	0.00159531	−	0.00595377i
$184$	17.5882	−	14.7582i	1.29662	−	1.08799i
$185$	−22.6619	+	6.77299i	−1.66613	+	0.497960i
$186$	−1.19179	+	3.27441i	−0.0873861	+	0.240091i
$187$	0.119263	+	1.36319i	0.00872140	+	0.0996861i
$188$	−22.4361	−	32.0420i	−1.63632	−	2.33690i
$189$	2.15210			0.156542
$190$	−11.9343	+	18.9606i	−0.865804	+	1.37555i
$191$	−19.3049			−1.39685			−0.698425	−	0.715683i	$-0.746116\pi$
$191$	−19.3049			−1.39685			−0.698425	+	0.715683i	$0.746116\pi$
$192$	−2.46772	−	3.52427i	−0.178093	−	0.254343i
$193$	−0.291357	−	3.33023i	−0.0209723	−	0.239715i	−0.999444	−	0.0333348i	$-0.989387\pi$
$193$	−0.291357	−	3.33023i	−0.0209723	−	0.239715i	0.978472	−	0.206380i	$-0.0661683\pi$
$194$	10.6703	−	29.3165i	0.766084	−	2.10480i
$195$	−0.761288	+	1.41032i	−0.0545169	+	0.100995i
$196$	−14.6055	+	12.2555i	−1.04325	+	0.875390i
$197$	3.33413	−	12.4431i	0.237547	−	0.886537i	−0.739437	−	0.673225i	$-0.764908\pi$
$197$	3.33413	−	12.4431i	0.237547	−	0.886537i	0.976984	−	0.213312i	$-0.0684250\pi$
$198$	5.82977	−	1.56208i	0.414304	−	0.111012i
$199$	8.35913	−	1.47394i	0.592563	−	0.104485i	0.130678	−	0.991425i	$-0.458285\pi$
$199$	8.35913	−	1.47394i	0.592563	−	0.104485i	0.461885	+	0.886940i	$0.347173\pi$
$200$	−11.0104	−	9.81689i	−0.778554	−	0.694159i
$201$	−1.54119	+	2.66942i	−0.108707	+	0.188286i
$202$	31.2882	+	8.38366i	2.20143	+	0.589872i
$203$	−6.82658	−	0.597248i	−0.479132	−	0.0419186i
$204$	1.55381	−	0.565540i	0.108788	−	0.0395957i
$205$	14.8593	−	5.89520i	1.03782	−	0.411739i
$206$	−14.4768	−	12.1475i	−1.00865	−	0.846356i
$207$	−18.4110	+	12.8915i	−1.27965	+	0.896020i
$208$	0.324780	+	0.324780i	0.0225195	+	0.0225195i
$209$	−3.69542	+	1.43134i	−0.255618	+	0.0990081i
$210$	0.110108	−	1.87538i	0.00759815	−	0.129414i
$211$	−15.9594	−	2.81408i	−1.09869	−	0.193729i	−0.405225	−	0.914217i	$-0.632807\pi$
$211$	−15.9594	−	2.81408i	−1.09869	−	0.193729i	−0.693468	+	0.720488i	$0.743918\pi$
$212$	8.09529	−	0.708246i	0.555987	−	0.0486425i
$213$	−2.57341	+	1.20000i	−0.176327	+	0.0822228i
$214$	−8.04634	−	22.1071i	−0.550036	−	1.51121i
$215$	8.17506	−	6.08018i	0.557535	−	0.414665i
$216$	−2.90606	−	5.03345i	−0.197733	−	0.342483i
$217$	−1.28105	−	4.78095i	−0.0869634	−	0.324552i
$218$	0.717795	+	0.502606i	0.0486152	+	0.0340407i
$219$	0.388005	+	2.20049i	0.0262190	+	0.148695i
$220$	−1.34679	−	6.53792i	−0.0908005	−	0.440787i
$221$	2.79227	−	1.61212i	0.187828	−	0.108443i
$222$	−0.709006	+	8.10398i	−0.0475854	+	0.543904i
$223$	10.1610	+	4.73817i	0.680433	+	0.317291i	0.731928	−	0.681382i	$-0.238621\pi$
$223$	10.1610	+	4.73817i	0.680433	+	0.317291i	−0.0514946	+	0.998673i	$0.516398\pi$
$224$	5.55116	+	2.02046i	0.370903	+	0.134997i
$225$	9.89970	+	10.5127i	0.659980	+	0.700848i
$226$	−3.85938	+	21.8876i	−0.256722	+	1.45594i
$227$	9.99402	−	9.99402i	0.663326	−	0.663326i	−0.292836	−	0.956163i	$-0.594599\pi$
$227$	9.99402	−	9.99402i	0.663326	−	0.663326i	0.956163	+	0.292836i	$0.0945991\pi$
$228$	2.82640	+	3.86564i	0.187183	+	0.256008i
$229$			14.2210i			0.939752i	0.882732	+	0.469876i	$0.155701\pi$
$229$			14.2210i			0.939752i	−0.882732	+	0.469876i	$0.844299\pi$
$230$	20.9828	+	34.0539i	1.38356	+	2.24545i
$231$	0.213599	−	0.254558i	0.0140538	−	0.0167487i
$232$	7.82131	+	16.7729i	0.513494	+	1.10119i
$233$	7.88812	−	16.9161i	0.516768	−	1.10821i	−0.458805	−	0.888537i	$-0.651722\pi$
$233$	7.88812	−	16.9161i	0.516768	−	1.10821i	0.975573	−	0.219676i	$-0.0704999\pi$
$234$	−9.14093	−	10.8937i	−0.597561	−	0.712146i
$235$	23.8102	−	11.9440i	1.55321	−	0.779141i
$236$	7.25952	+	4.19128i	0.472554	+	0.272829i
$237$	1.20419	−	1.71976i	0.0782203	−	0.111710i
$238$	−2.16776	+	3.09588i	−0.140515	+	0.200676i
$239$	−8.54720	−	4.93473i	−0.552873	−	0.319201i	0.197407	−	0.980322i	$-0.436748\pi$
$239$	−8.54720	−	4.93473i	−0.552873	−	0.319201i	−0.750280	+	0.661120i	$0.770081\pi$
$240$	−0.143383	+	0.0719258i	−0.00925533	+	0.00464279i
$241$	15.2762	+	18.2054i	0.984024	+	1.17271i	0.984972	+	0.172714i	$0.0552537\pi$
$241$	15.2762	+	18.2054i	0.984024	+	1.17271i	−0.000948389		1.00000i	$0.500302\pi$
$242$	−9.88272	+	21.1936i	−0.635286	+	1.36237i
$243$	3.62964	+	7.78379i	0.232842	+	0.499330i
$244$	0.525988	−	0.626848i	0.0336729	−	0.0401298i
$245$	−6.81114	−	11.0541i	−0.435148	−	0.706220i
$246$		−	5.49820i		−	0.350552i
$247$	6.73641	+	6.46612i	0.428627	+	0.411429i
$248$	−9.45209	+	9.45209i	−0.600208	+	0.600208i
$249$	0.0131066	−	0.0743314i	0.000830599	−	0.00471056i
$250$	19.7097	−	16.4914i	1.24655	−	1.04301i
$251$	2.64175	+	0.961518i	0.166746	+	0.0606905i	0.424044	−	0.905641i	$-0.360610\pi$
$251$	2.64175	+	0.961518i	0.166746	+	0.0606905i	−0.257298	+	0.966332i	$0.582832\pi$
$252$	9.38873	+	4.37804i	0.591435	+	0.275790i
$253$	−0.616656	+	7.04841i	−0.0387689	+	0.443130i
$254$	3.65949	−	2.11281i	0.229617	−	0.132569i
$255$	0.227193	+	1.10290i	0.0142273	+	0.0690660i
$256$	−3.01489	−	17.0983i	−0.188431	−	1.06864i
$257$	−10.5469	−	7.38504i	−0.657899	−	0.460666i	0.196347	−	0.980534i	$-0.437092\pi$
$257$	−10.5469	−	7.38504i	−0.657899	−	0.460666i	−0.854246	+	0.519868i	$0.825981\pi$
$258$	−0.906933	−	3.38472i	−0.0564632	−	0.210723i
$259$	−5.77760	−	10.0071i	−0.359002	−	0.621810i
$260$	−12.6204	+	9.38635i	−0.782681	+	0.582116i
$261$	−6.19624	−	17.0240i	−0.383538	−	1.05376i
$262$	−1.62166	+	0.756194i	−0.100187	+	0.0467178i
$263$	7.47719	−	0.654169i	0.461063	−	0.0403378i	0.145742	−	0.989323i	$-0.453443\pi$
$263$	7.47719	−	0.654169i	0.461063	−	0.0403378i	0.315322	+	0.948985i	$0.397888\pi$
$264$	−0.883804	−	0.155838i	−0.0543943	−	0.00959119i
$265$	−0.324351	+	5.52443i	−0.0199247	+	0.339363i
$266$	−10.3596	−	3.53220i	−0.635190	−	0.216573i
$267$	3.21864	+	3.21864i	0.196978	+	0.196978i
$268$	−24.7791	+	17.3505i	−1.51362	+	1.05985i
$269$	0.573855	+	0.481521i	0.0349885	+	0.0293589i	0.660114	−	0.751165i	$-0.270508\pi$
$269$	0.573855	+	0.481521i	0.0349885	+	0.0293589i	−0.625126	+	0.780524i	$0.714952\pi$
$270$	9.41196	−	3.73404i	0.572794	−	0.227247i
$271$	−9.00533	+	3.27767i	−0.547035	+	0.199104i	−0.600728	−	0.799453i	$-0.705123\pi$
$271$	−9.00533	+	3.27767i	−0.547035	+	0.199104i	0.0536939	+	0.998557i	$0.482900\pi$
$272$	0.321487	+	0.0281264i	0.0194930	+	0.00170542i
$273$	−0.756295	−	0.202649i	−0.0457731	−	0.0122649i
$274$	4.79974	−	8.31339i	0.289963	−	0.502230i
$275$	4.53836	−	0.260076i	0.273673	−	0.0156831i
$276$	8.41975	−	1.48463i	0.506810	−	0.0893642i
$277$	−7.97600	+	2.13716i	−0.479231	+	0.128410i	−0.490345	−	0.871529i	$-0.663129\pi$
$277$	−7.97600	+	2.13716i	−0.479231	+	0.128410i	0.0111135	+	0.999938i	$0.496462\pi$
$278$	−8.58418	+	32.0366i	−0.514845	+	1.92143i
$279$	10.0240	−	8.41115i	0.600123	−	0.503563i
$280$	3.42324	−	6.34169i	0.204577	−	0.378989i
$281$	1.54859	−	4.25472i	0.0923813	−	0.253815i	−0.884893	−	0.465794i	$-0.845769\pi$
$281$	1.54859	−	4.25472i	0.0923813	−	0.253815i	0.977274	+	0.211979i	$0.0679908\pi$
$282$	−0.798506	−	9.12696i	−0.0475503	−	0.543503i
$283$	−6.87627	−	9.82032i	−0.408752	−	0.583758i	0.561011	−	0.827808i	$-0.310413\pi$
$283$	−6.87627	−	9.82032i	−0.408752	−	0.583758i	−0.969762	+	0.244051i	$0.921524\pi$
$284$	−27.8656			−1.65352
$285$	−2.88438	+	1.52158i	−0.170856	+	0.0901305i
$286$	−4.47670			−0.264713
$287$	4.47956	+	6.39747i	0.264420	+	0.377631i
$288$	1.36117	+	15.5582i	0.0802076	+	0.916777i
$289$	−5.03954	+	13.8460i	−0.296443	+	0.814472i
$290$	−30.8915	+	9.23259i	−1.81401	+	0.542156i
$291$	3.47874	−	2.91901i	0.203927	−	0.171115i
$292$	−5.67543	+	21.1810i	−0.332129	+	1.23952i
$293$	12.8467	−	3.44227i	0.750514	−	0.201100i	0.136768	−	0.990603i	$-0.456329\pi$
$293$	12.8467	−	3.44227i	0.750514	−	0.201100i	0.613746	+	0.789504i	$0.289662\pi$
$294$	−4.39785	+	0.775459i	−0.256488	+	0.0452257i
$295$	−3.54272	+	4.47620i	−0.206265	+	0.260615i
$296$	−15.6034	+	27.0259i	−0.906930	+	1.57085i
$297$	1.73005	+	0.463567i	0.100388	+	0.0268989i
$298$	−39.4935	−	3.45523i	−2.28780	−	0.200156i
$299$	15.6657	−	5.70183i	0.905968	−	0.329745i
$300$	−1.72293	−	5.21583i	−0.0994734	−	0.301136i
$301$	3.81290	+	3.19941i	0.219772	+	0.184411i
$302$	39.9320	−	27.9607i	2.29783	−	1.60896i
$303$	3.33399	+	3.33399i	0.191533	+	0.191533i
$304$	0.181096	+	0.916885i	0.0103866	+	0.0525870i
$305$	0.370267	+	0.416458i	0.0212014	+	0.0238463i
$306$	−9.83985	−	1.73503i	−0.562507	−	0.0991851i
$307$	−17.6640	+	1.54540i	−1.00814	+	0.0882008i	−0.579245	−	0.815154i	$-0.696652\pi$
$307$	−17.6640	+	1.54540i	−1.00814	+	0.0882008i	−0.428895	+	0.903355i	$0.641097\pi$
$308$	2.95558	−	1.37821i	0.168410	−	0.0785307i
$309$	−0.940834	−	2.58492i	−0.0535222	−	0.147051i
$310$	−13.8978	−	18.6862i	−0.789342	−	1.06130i
$311$	−1.33370	−	2.31004i	−0.0756274	−	0.130990i	0.825732	−	0.564063i	$-0.190763\pi$
$311$	−1.33370	−	2.31004i	−0.0756274	−	0.130990i	−0.901359	+	0.433073i	$0.857429\pi$
$312$	0.547288	+	2.04251i	0.0309841	+	0.115634i
$313$	−1.21369	−	0.849832i	−0.0686016	−	0.0480354i	0.538773	−	0.842451i	$-0.318888\pi$
$313$	−1.21369	−	0.849832i	−0.0686016	−	0.0480354i	−0.607374	+	0.794416i	$0.707777\pi$
$314$	1.97331	+	11.1912i	0.111361	+	0.631557i
$315$	−3.87937	+	5.89230i	−0.218578	+	0.331993i
$316$	17.8430	−	10.3017i	1.00375	−	0.579514i
$317$	0.0833060	−	0.952192i	0.00467893	−	0.0534804i	−0.993496	−	0.113865i	$-0.963677\pi$
$317$	0.0833060	−	0.952192i	0.00467893	−	0.0534804i	0.998175	+	0.0603841i	$0.0192326\pi$
$318$	1.72500	+	0.804383i	0.0967334	+	0.0451075i
$319$	−5.35918	−	1.95058i	−0.300056	−	0.109212i
$320$	28.7415	−	0.822855i	1.60670	−	0.0459990i
$321$	0.594647	−	3.37241i	0.0331899	−	0.188229i
$322$	−13.8178	+	13.8178i	−0.770038	+	0.770038i
$323$	6.54602	+	0.437906i	0.364230	+	0.0243658i
$324$			26.2846i			1.46025i
$325$	−5.07459	−	9.43250i	−0.281488	−	0.523221i
$326$	20.5144	−	24.4481i	1.13619	−	1.35405i
$327$	0.0539047	+	0.115599i	0.00298094	+	0.00639264i
$328$	8.91383	−	19.1158i	0.492184	−	1.05549i
$329$	8.36513	+	9.96917i	0.461184	+	0.549618i
$330$	0.492476	−	1.48389i	0.0271099	−	0.0816852i
$331$	22.9198	+	13.2327i	1.25979	+	0.727338i	0.973033	−	0.230667i	$-0.0740908\pi$
$331$	22.9198	+	13.2327i	1.25979	+	0.727338i	0.286753	+	0.958005i	$0.407424\pi$
$332$	0.424861	−	0.606764i	0.0233173	−	0.0333005i
$333$	17.5221	−	25.0242i	0.960205	−	1.37132i
$334$	25.9706	+	14.9941i	1.42105	+	0.820442i
$335$	−9.23668	−	18.4132i	−0.504654	−	1.00602i
$336$	−0.0503740	−	0.0600335i	−0.00274813	−	0.00327509i
$337$	−1.77790	+	3.81272i	−0.0968485	+	0.207692i	−0.948763	−	0.315989i	$-0.897664\pi$
$337$	−1.77790	+	3.81272i	−0.0968485	+	0.207692i	0.851914	+	0.523681i	$0.175442\pi$
$338$	−8.17071	−	17.5222i	−0.444428	−	0.953080i
$339$	−2.07949	+	2.47824i	−0.112942	+	0.134599i
$340$	−2.55351	+	10.7517i	−0.138484	+	0.583094i
$341$		−	4.11930i		−	0.223073i
$342$	−3.11145	−	28.7686i	−0.168248	−	1.55563i
$343$	9.89253	−	9.89253i	0.534147	−	0.534147i
$344$	2.33423	−	13.2381i	0.125853	−	0.713750i
$345$	0.166622	+	5.81992i	0.00897061	+	0.313334i
$346$	−6.23399	−	2.26899i	−0.335141	−	0.121981i
$347$	18.0091	+	8.39777i	0.966777	+	0.450816i	0.840876	−	0.541227i	$-0.182040\pi$
$347$	18.0091	+	8.39777i	0.966777	+	0.450816i	0.125901	+	0.992043i	$0.459818\pi$
$348$	−0.600633	+	6.86526i	−0.0321973	+	0.368017i
$349$	−20.6312	+	11.9114i	−1.10436	+	0.637603i	−0.937363	−	0.348354i	$-0.886741\pi$
$349$	−20.6312	+	11.9114i	−1.10436	+	0.637603i	−0.166998	+	0.985957i	$0.553407\pi$
$350$	10.0637	+	7.50677i	0.537927	+	0.401254i
$351$	−0.732828	−	4.15607i	−0.0391154	−	0.221835i
$352$	4.02732	+	2.81996i	0.214657	+	0.150304i
$353$	8.36473	+	31.2176i	0.445210	+	1.66155i	0.715382	+	0.698734i	$0.246253\pi$
$353$	8.36473	+	31.2176i	0.445210	+	1.66155i	−0.270172	+	0.962812i	$0.587081\pi$
$354$	0.981688	+	1.70033i	0.0521761	+	0.0903717i
$355$	2.75906	−	18.7748i	0.146436	−	0.996464i
$356$	15.2783	+	41.9767i	0.809746	+	2.22476i
$357$	−0.498583	+	0.232493i	−0.0263878	+	0.0123048i
$358$	−26.8781	+	2.35153i	−1.42055	+	0.124282i
$359$	27.9067	+	4.92071i	1.47286	+	0.259705i	0.851721	−	0.523995i	$-0.175559\pi$
$359$	27.9067	+	4.92071i	1.47286	+	0.259705i	0.621139	+	0.783700i	$0.286670\pi$
$360$	19.0197	+	1.11668i	1.00242	+	0.0588544i
$361$	4.06236	+	18.5606i	0.213808	+	0.976876i
$362$	−25.6912	−	25.6912i	−1.35030	−	1.35030i
$363$	−2.78827	+	1.95237i	−0.146346	+	0.102473i
$364$	−5.88622	−	4.93912i	−0.308522	−	0.258880i
$365$	−13.7090	−	5.92109i	−0.717563	−	0.309924i
$366$	0.180103	−	0.0655521i	0.00941413	−	0.00342646i
$367$	15.9385	+	1.39444i	0.831982	+	0.0727890i	0.495184	−	0.868788i	$-0.335101\pi$
$367$	15.9385	+	1.39444i	0.831982	+	0.0727890i	0.336798	+	0.941577i	$0.390656\pi$
$368$	1.61175	+	0.431868i	0.0840184	+	0.0225127i
$369$	−10.3236	+	17.8810i	−0.537425	+	0.930848i
$370$	−42.6306	−	33.7403i	−2.21626	−	1.75407i
$371$	−2.66250	+	0.469470i	−0.138230	+	0.0243737i
$372$	−4.80804	+	1.28831i	−0.249285	+	0.0667958i
$373$	0.128165	−	0.478317i	0.00663611	−	0.0247663i	−0.962528	−	0.271181i	$-0.912586\pi$
$373$	0.128165	−	0.478317i	0.00663611	−	0.0247663i	0.969165	+	0.246415i	$0.0792525\pi$
$374$	−2.40950	+	2.02181i	−0.124592	+	0.104545i
$375$	3.68482	−	0.644411i	0.190283	−	0.0332773i
$376$	12.0207	−	33.0265i	0.619919	−	1.70321i
$377$	1.17118	+	13.3866i	0.0603188	+	0.689447i
$378$	2.83737	+	4.05218i	0.145938	+	0.208422i
$379$	0.914413			0.0469702			0.0234851	−	0.999724i	$-0.492524\pi$
$379$	0.914413			0.0469702			0.0234851	+	0.999724i	$0.492524\pi$
$380$	−31.9651	+	1.57047i	−1.63978	+	0.0805632i
$381$	0.615081			0.0315116
$382$	−25.4518	−	36.3490i	−1.30223	−	1.85978i
$383$	−1.24683	−	14.2513i	−0.0637100	−	0.728209i	−0.959126	−	0.282979i	$-0.908677\pi$
$383$	−1.24683	−	14.2513i	−0.0637100	−	0.728209i	0.895416	−	0.445230i	$-0.146878\pi$
$384$	2.14470	−	5.89252i	0.109446	−	0.300701i
$385$	0.635945	+	2.12782i	0.0324108	+	0.108444i
$386$	5.88633	−	4.93922i	0.299606	−	0.251400i
$387$	−3.40577	+	12.7105i	−0.173125	+	0.646112i
$388$	43.0474	−	11.5345i	2.18540	−	0.585576i
$389$	−14.4079	+	2.54050i	−0.730508	+	0.128808i	−0.526517	−	0.850164i	$-0.676502\pi$
$389$	−14.4079	+	2.54050i	−0.730508	+	0.128808i	−0.203991	+	0.978973i	$0.565391\pi$
$390$	−3.65917	+	0.425964i	−0.185289	+	0.0215695i
$391$	5.85661	−	10.1440i	0.296182	−	0.513002i
$392$	−16.5473	−	4.43384i	−0.835766	−	0.223943i
$393$	−0.259460	−	0.0226999i	−0.0130880	−	0.00114506i
$394$	27.8249	−	10.1274i	1.40180	−	0.510212i
$395$	5.17419	+	13.0420i	0.260342	+	0.656212i
$396$	6.60448	+	5.54181i	0.331887	+	0.278487i
$397$	−8.45661	+	5.92138i	−0.424425	+	0.297186i	−0.766207	−	0.642594i	$-0.777858\pi$
$397$	−8.45661	+	5.92138i	−0.424425	+	0.297186i	0.341782	+	0.939779i	$0.388970\pi$
$398$	13.7961	+	13.7961i	0.691535	+	0.691535i
$399$	−1.04885	−	1.19924i	−0.0525081	−	0.0600370i
$400$	0.125453	−	1.06469i	0.00627265	−	0.0532346i
$401$	4.46270	+	0.786895i	0.222857	+	0.0392956i	0.283961	−	0.958836i	$-0.408351\pi$
$401$	4.46270	+	0.786895i	0.222857	+	0.0392956i	−0.0611047	+	0.998131i	$0.519462\pi$
$402$	−7.05817	+	0.617509i	−0.352029	+	0.0307986i
$403$	−8.79660	+	4.10192i	−0.438190	+	0.204331i
$404$	15.8258	+	43.4811i	0.787364	+	2.16326i
$405$	−17.7096	−	2.60252i	−0.879995	−	0.129320i
$406$	−7.87572	−	13.6411i	−0.390865	−	0.676999i
$407$	−2.48901	−	9.28911i	−0.123376	−	0.460444i
$408$	1.21702	+	0.852168i	0.0602515	+	0.0421886i
$409$	0.693246	+	3.93159i	0.0342788	+	0.194405i	0.997138	−	0.0755979i	$-0.0240865\pi$
$409$	0.693246	+	3.93159i	0.0342788	+	0.194405i	−0.962860	+	0.270003i	$0.912975\pi$
$410$	30.6908	+	20.2062i	1.51571	+	0.997914i
$411$	1.21010	−	0.698650i	0.0596897	−	0.0344619i
$412$	2.35284	−	26.8931i	0.115916	−	1.32493i
$413$	−2.52757	−	1.17862i	−0.124373	−	0.0579963i
$414$	−48.5466	−	17.6695i	−2.38593	−	0.868409i
$415$	0.366749	+	0.346333i	0.0180030	+	0.0170008i
$416$	2.01158	−	11.4082i	0.0986257	−	0.559334i
$417$	−3.41374	+	3.41374i	−0.167171	+	0.167171i
$418$	−7.56717	−	5.07098i	−0.370123	−	0.248030i
$419$		−	24.8998i		−	1.21644i	−0.793770	−	0.608218i	$-0.791885\pi$
$419$		−	24.8998i		−	1.21644i	0.793770	−	0.608218i	$-0.208115\pi$
$420$	2.28470	−	1.40775i	0.111482	−	0.0686911i
$421$	−6.21912	+	7.41166i	−0.303101	+	0.361222i	−0.895999	−	0.444056i	$-0.853539\pi$
$421$	−6.21912	+	7.41166i	−0.303101	+	0.361222i	0.592898	+	0.805278i	$0.297984\pi$
$422$	−15.7426	−	33.7600i	−0.766336	−	1.64341i
$423$	−14.5402	+	31.1816i	−0.706970	+	1.51610i
$424$	4.69329	+	5.59324i	0.227926	+	0.271632i
$425$	−6.99129	−	2.78503i	−0.339127	−	0.135094i
$426$	−5.65230	−	3.26336i	−0.273855	−	0.158110i
$427$	−0.156153	+	0.223009i	−0.00755675	+	0.0107922i
$428$	19.2759	−	27.5288i	0.931736	−	1.33066i
$429$	−0.564328	−	0.325815i	−0.0272460	−	0.0157305i
$430$	22.2265	+	7.37657i	1.07186	+	0.355730i
$431$	−8.83156	−	10.5250i	−0.425401	−	0.506973i	0.510188	−	0.860063i	$-0.329576\pi$
$431$	−8.83156	−	10.5250i	−0.425401	−	0.506973i	−0.935590	+	0.353089i	$0.885131\pi$
$432$	0.178514	−	0.382824i	0.00858875	−	0.0184186i
$433$	−10.1383	−	21.7417i	−0.487217	−	1.04484i	−0.984197	−	0.177078i	$-0.943336\pi$
$433$	−10.1383	−	21.7417i	−0.487217	−	1.04484i	0.496980	−	0.867762i	$-0.334442\pi$
$434$	7.31306	−	8.71536i	0.351038	−	0.418351i
$435$	−4.56609	−	1.08444i	−0.218927	−	0.0519947i
$436$			1.25174i			0.0599473i
$437$	32.9391	+	8.10719i	1.57569	+	0.387820i
$438$	−3.63173	+	3.63173i	−0.173531	+	0.173531i
$439$	3.39505	−	19.2543i	0.162037	−	0.918957i	−0.790030	−	0.613068i	$-0.789935\pi$
$439$	3.39505	−	19.2543i	0.162037	−	0.918957i	0.952067	−	0.305889i	$-0.0989537\pi$
$440$	4.11792	−	4.36066i	0.196314	−	0.207886i
$441$	15.7585	+	5.73563i	0.750405	+	0.273125i
$442$	6.71682	+	3.13210i	0.319486	+	0.148979i
$443$	−1.64937	+	18.8524i	−0.0783639	+	0.895703i	0.850668	+	0.525703i	$0.176198\pi$
$443$	−1.64937	+	18.8524i	−0.0783639	+	0.895703i	−0.929032	+	0.370000i	$0.879358\pi$
$444$	−10.0638	+	5.81033i	−0.477607	+	0.275746i
$445$	−29.7951	+	6.13768i	−1.41242	+	0.290954i
$446$	4.47501	+	25.3790i	0.211898	+	1.20173i
$447$	−4.72702	−	3.30990i	−0.223581	−	0.156553i
$448$	3.63568	+	13.5685i	0.171770	+	0.641053i
$449$	−12.2119	−	21.1517i	−0.576317	−	0.998211i	−0.995897	−	0.0904922i	$-0.971156\pi$
$449$	−12.2119	−	21.1517i	−0.576317	−	0.998211i	0.419580	−	0.907718i	$-0.362177\pi$
$450$	−6.74242	+	32.5002i	−0.317841	+	1.53208i
$451$	2.22305	+	6.10777i	0.104679	+	0.287604i
$452$	−28.7740	+	13.4175i	−1.35341	+	0.631107i
$453$	7.06875	−	0.618436i	0.332119	−	0.0290566i
$454$	31.9939	+	5.64139i	1.50155	+	0.264764i
$455$	3.91061	−	3.47688i	0.183332	−	0.162998i
$456$	−1.38854	+	4.07248i	−0.0650245	+	0.190711i
$457$	−0.109557	−	0.109557i	−0.00512484	−	0.00512484i	0.704540	−	0.709665i	$-0.251153\pi$
$457$	−0.109557	−	0.109557i	−0.00512484	−	0.00512484i	−0.709665	+	0.704540i	$0.751153\pi$
$458$	−26.7767	+	18.7492i	−1.25119	+	0.876094i
$459$	−2.27143	−	1.90596i	−0.106021	−	0.0889625i
$460$	−22.6559	+	52.4550i	−1.05634	+	2.44573i
$461$	17.6438	−	6.42183i	0.821755	−	0.299094i	0.103284	−	0.994652i	$-0.467065\pi$
$461$	17.6438	−	6.42183i	0.821755	−	0.299094i	0.718470	+	0.695558i	$0.244843\pi$
$462$	0.760917	+	0.0665716i	0.0354011	+	0.00309719i
$463$	−13.5335	−	3.62629i	−0.628956	−	0.168528i	−0.0697600	−	0.997564i	$-0.522223\pi$
$463$	−13.5335	−	3.62629i	−0.628956	−	0.168528i	−0.559196	+	0.829036i	$0.688890\pi$
$464$	−0.672496	+	1.16480i	−0.0312198	+	0.0540743i
$465$	−0.391956	−	3.36704i	−0.0181765	−	0.156143i
$466$	42.2511	−	7.45001i	1.95724	−	0.345115i
$467$	−7.97555	+	2.13704i	−0.369065	+	0.0988905i	−0.438584	−	0.898690i	$-0.644520\pi$
$467$	−7.97555	+	2.13704i	−0.369065	+	0.0988905i	0.0695198	+	0.997581i	$0.477853\pi$
$468$	5.25770	−	19.6220i	0.243037	−	0.907028i
$469$	7.70947	−	6.46902i	0.355990	−	0.298711i
$470$	53.8811	+	29.0849i	2.48535	+	1.34159i
$471$	−0.565744	+	1.55437i	−0.0260681	+	0.0716215i
$472$	0.656440	+	7.50314i	0.0302151	+	0.345360i
$473$	2.37600	+	3.39328i	0.109249	+	0.156023i
$474$	4.82574			0.221653
$475$	2.10685	−	21.6924i	0.0966688	−	0.995317i
$476$	−5.39879			−0.247453
$477$	−4.09965	−	5.85490i	−0.187710	−	0.268078i
$478$	−1.97720	−	22.5995i	−0.0904350	−	1.03368i
$479$	−12.0572	+	33.1269i	−0.550907	+	1.51361i	0.281567	+	0.959542i	$0.409146\pi$
$479$	−12.0572	+	33.1269i	−0.550907	+	1.51361i	−0.832474	+	0.554064i	$0.813076\pi$
$480$	3.56018	+	1.92178i	0.162499	+	0.0877167i
$481$	−17.3580	+	14.5651i	−0.791457	+	0.664111i
$482$	−14.1385	+	52.7657i	−0.643992	+	2.40341i
$483$	−2.74752	+	0.736196i	−0.125017	+	0.0334981i
$484$	−32.8970	+	5.80064i	−1.49532	+	0.263665i
$485$	3.50927	+	30.1458i	0.159348	+	1.36885i
$486$	−9.87067	+	17.0965i	−0.447743	+	0.775513i
$487$	25.8535	+	6.92743i	1.17153	+	0.313912i	0.791564	−	0.611086i	$-0.209267\pi$
$487$	25.8535	+	6.92743i	1.17153	+	0.313912i	0.379971	+	0.924998i	$0.375934\pi$
$488$	0.732444	+	0.0640805i	0.0331562	+	0.00290079i
$489$	4.36535	−	1.58886i	0.197408	−	0.0718506i
$490$	11.8338	−	27.3986i	0.534595	−	1.23774i
$491$	−27.0749	−	22.7185i	−1.22187	−	1.02527i	−0.998725	−	0.0504874i	$-0.983923\pi$
$491$	−27.0749	−	22.7185i	−1.22187	−	1.02527i	−0.223147	−	0.974785i	$-0.571633\pi$
$492$	6.43372	−	4.50494i	0.290054	−	0.203098i
$493$	6.67616	+	6.67616i	0.300679	+	0.300679i
$494$	−3.29363	+	21.2090i	−0.148187	+	0.954237i
$495$	−4.38780	+	3.90114i	−0.197217	+	0.175343i
$496$	−0.956715	−	0.168695i	−0.0429578	−	0.00757461i
$497$	9.23554	−	0.808005i	0.414271	−	0.0362440i
$498$	0.157238	−	0.0733213i	0.00704601	−	0.00328561i
$499$	1.69866	+	4.66702i	0.0760422	+	0.208924i	0.971889	−	0.235438i	$-0.0756525\pi$
$499$	1.69866	+	4.66702i	0.0760422	+	0.208924i	−0.895847	+	0.444362i	$0.853430\pi$
$500$	35.4465	+	9.55112i	1.58522	+	0.427139i
$501$	2.18254	+	3.78028i	0.0975089	+	0.168890i
$502$	1.67249	+	6.24181i	0.0746468	+	0.278586i
$503$	9.45287	+	6.61897i	0.421483	+	0.295125i	0.765011	−	0.644017i	$-0.222733\pi$
$503$	9.45287	+	6.61897i	0.421483	+	0.295125i	−0.343529	+	0.939142i	$0.611622\pi$
$504$	1.61630	+	9.16652i	0.0719959	+	0.408309i
$505$	−30.8629	+	6.35765i	−1.37338	+	0.282912i
$506$	−14.0844	+	8.13164i	−0.626129	+	0.361496i
$507$	0.245273	−	2.80348i	0.0108930	−	0.124507i
$508$	5.47070	+	2.55103i	0.242723	+	0.113184i
$509$	−14.9519	−	5.44206i	−0.662733	−	0.241215i	−0.0113170	−	0.999936i	$-0.503602\pi$
$509$	−14.9519	−	5.44206i	−0.662733	−	0.241215i	−0.651416	+	0.758721i	$0.725825\pi$
$510$	−1.77710	+	1.88185i	−0.0786913	+	0.0833299i
$511$	1.26684	−	7.18461i	0.0560417	−	0.317829i
$512$	1.71446	−	1.71446i	0.0757690	−	0.0757690i
$513$	3.46906	−	7.85530i	0.153163	−	0.346820i
$514$		−	29.5953i		−	1.30539i
$515$	17.8866	+	4.24803i	0.788177	+	0.187190i
$516$	3.21753	−	3.83451i	0.141644	−	0.168805i
$517$	4.57727	+	9.81598i	0.201308	+	0.431707i
$518$	11.2250	−	24.0721i	0.493199	−	1.05767i
$519$	−0.620712	−	0.739735i	−0.0272462	−	0.0324708i
$520$	−13.4125	−	4.45139i	−0.588179	−	0.195206i
$521$	16.4641	+	9.50554i	0.721305	+	0.416445i	0.815233	−	0.579134i	$-0.196609\pi$
$521$	16.4641	+	9.50554i	0.721305	+	0.416445i	−0.0939281	+	0.995579i	$0.529942\pi$
$522$	23.8852	−	34.1116i	1.04543	−	1.49303i
$523$	23.9327	−	34.1794i	1.04650	−	1.49456i	0.187718	−	0.982223i	$-0.439891\pi$
$523$	23.9327	−	34.1794i	1.04650	−	1.49456i	0.858784	−	0.512338i	$-0.171220\pi$
$524$	−2.21357	−	1.27800i	−0.0967001	−	0.0558298i
$525$	0.722274	+	1.67873i	0.0315226	+	0.0732658i
$526$	11.0898	+	13.2163i	0.483537	+	0.576257i
$527$	−2.88205	+	6.18057i	−0.125544	+	0.269230i
$528$	−0.0275639	−	0.0591110i	−0.00119957	−	0.00257248i
$529$	24.1455	−	28.7755i	1.04980	−	1.25111i
$530$	−10.8295	+	6.67278i	−0.470405	+	0.289847i
$531$		−	7.37300i		−	0.319961i
$532$	−4.35495	−	15.0164i	−0.188811	−	0.651045i
$533$	10.8292	−	10.8292i	0.469066	−	0.469066i
$534$	−1.81685	+	10.3039i	−0.0786228	+	0.445892i
$535$	16.6394	+	15.7131i	0.719382	+	0.679337i
$536$	−25.5405	−	9.29597i	−1.10318	−	0.401525i
$537$	−3.55936	−	1.65976i	−0.153598	−	0.0716238i
$538$	−0.150074	+	1.71535i	−0.00647014	+	0.0739541i
$539$	4.57189	−	2.63958i	0.196925	−	0.113695i
$540$	12.0811	+	7.95392i	0.519886	+	0.342282i
$541$	−3.67444	−	20.8388i	−0.157976	−	0.895929i	−0.956014	−	0.293321i	$-0.905239\pi$
$541$	−3.67444	−	20.8388i	−0.157976	−	0.895929i	0.798038	−	0.602608i	$-0.205872\pi$
$542$	−18.0443	−	12.6347i	−0.775068	−	0.542708i
$543$	−1.36879	−	5.10840i	−0.0587405	−	0.219223i
$544$	−4.06959	−	7.04874i	−0.174482	−	0.302212i
$545$	−0.843374	−	0.123938i	−0.0361262	−	0.00530894i
$546$	−0.615546	−	1.69120i	−0.0263429	−	0.0723766i
$547$	−24.6252	+	11.4829i	−1.05290	+	0.490974i	−0.870458	−	0.492243i	$-0.836177\pi$
$547$	−24.6252	+	11.4829i	−1.05290	+	0.490974i	−0.182440	+	0.983217i	$0.558400\pi$
$548$	13.6606	−	1.19514i	0.583550	−	0.0510540i
$549$	−0.708805	−	0.124981i	−0.0302511	−	0.00533408i
$550$	6.47314	+	8.20236i	0.276016	+	0.349750i
$551$	−13.1840	+	23.9547i	−0.561658	+	1.02050i
$552$	5.43194	+	5.43194i	0.231199	+	0.231199i
$553$	−5.61502	+	3.93168i	−0.238775	+	0.167192i
$554$	−14.5397	−	12.2003i	−0.617734	−	0.518340i
$555$	−2.91834	−	7.35591i	−0.123877	−	0.312241i
$556$	−44.5211	+	16.2043i	−1.88811	+	0.687217i
$557$	7.29200	+	0.637967i	0.308972	+	0.0270315i	0.240587	−	0.970627i	$-0.422660\pi$
$557$	7.29200	+	0.637967i	0.308972	+	0.0270315i	0.0683846	+	0.997659i	$0.478215\pi$
$558$	29.0531	+	7.78476i	1.22992	+	0.329555i
$559$	4.88023	−	8.45281i	0.206412	−	0.357516i
$560$	0.520233	−	0.0605602i	0.0219839	−	0.00255914i
$561$	−0.450885	+	0.0795032i	−0.0190364	+	0.00335663i
$562$	10.0529	−	2.69366i	0.424055	−	0.113625i
$563$	−0.570779	+	2.13018i	−0.0240555	+	0.0897762i	−0.976910	−	0.213651i	$-0.931464\pi$
$563$	−0.570779	+	2.13018i	−0.0240555	+	0.0897762i	0.952855	+	0.303428i	$0.0981310\pi$
$564$	10.0257	−	8.41252i	0.422156	−	0.354231i
$565$	−6.19123	−	20.7153i	−0.260467	−	0.871501i
$566$	9.42485	−	25.8945i	0.396156	−	1.08843i
$567$	−0.762160	−	8.71153i	−0.0320077	−	0.365850i
$568$	−14.3609	−	20.5095i	−0.602570	−	0.860559i
$569$	37.6654			1.57902			0.789508	−	0.613740i	$-0.210336\pi$
$569$	37.6654			1.57902			0.789508	+	0.613740i	$0.210336\pi$
$570$	−6.66778	−	3.42490i	−0.279282	−	0.143453i
$571$	−28.1049			−1.17615			−0.588077	−	0.808805i	$-0.700115\pi$
$571$	−28.1049			−1.17615			−0.588077	+	0.808805i	$0.700115\pi$
$572$	−3.66798	−	5.23841i	−0.153366	−	0.219029i
$573$	−0.562945	−	6.43449i	−0.0235174	−	0.268805i
$574$	−6.13983	+	16.8691i	−0.256272	+	0.704101i
$575$	−33.0990	−	20.4585i	−1.38032	−	0.853178i
$576$	−28.4486	+	23.8712i	−1.18536	+	0.994634i
$577$	5.60166	−	20.9057i	0.233200	−	0.870314i	−0.745752	−	0.666224i	$-0.767910\pi$
$577$	5.60166	−	20.9057i	0.233200	−	0.870314i	0.978952	−	0.204091i	$-0.0654237\pi$
$578$	−32.7148	+	8.76590i	−1.36076	+	0.364613i
$579$	1.10150	−	0.194224i	0.0457768	−	0.00807168i
$580$	−36.1144	−	28.5830i	−1.49957	−	1.18684i
$581$	−0.123218	+	0.213420i	−0.00511195	+	0.00885417i
$582$	10.0826	+	2.70163i	0.417938	+	0.111986i
$583$	−2.24148	−	0.196104i	−0.0928326	−	0.00812180i
$584$	−18.5144	+	6.73870i	−0.766132	+	0.278849i
$585$	12.7000	+	5.48529i	0.525081	+	0.226789i
$586$	23.4188	+	19.6507i	0.967420	+	0.811762i
$587$	0.751166	−	0.525972i	0.0310039	−	0.0217092i	−0.557972	−	0.829860i	$-0.688420\pi$
$587$	0.751166	−	0.525972i	0.0310039	−	0.0217092i	0.588976	+	0.808151i	$0.299531\pi$
$588$	−4.51077	−	4.51077i	−0.186021	−	0.186021i
$589$	−19.5157	−	3.03068i	−0.804132	−	0.124877i
$590$	−13.0990	−	0.769069i	−0.539277	−	0.0316621i
$591$	4.24464	+	0.748445i	0.174601	+	0.0307869i
$592$	−2.25934	+	0.197667i	−0.0928584	+	0.00812406i
$593$	−20.5889	+	9.60074i	−0.845483	+	0.394255i	−0.796569	−	0.604548i	$-0.793354\pi$
$593$	−20.5889	+	9.60074i	−0.845483	+	0.394255i	−0.0489143	+	0.998803i	$0.515576\pi$
$594$	1.40809	+	3.86868i	0.0577744	+	0.158734i
$595$	0.534551	−	3.63750i	0.0219145	−	0.149123i
$596$	−28.3157	−	49.0443i	−1.15986	−	2.00893i
$597$	0.735037	+	2.74320i	0.0300831	+	0.112271i
$598$	31.3898	+	21.9794i	1.28362	+	0.898803i
$599$	−4.59419	−	26.0549i	−0.187713	−	1.06458i	−0.922419	−	0.386190i	$-0.873791\pi$
$599$	−4.59419	−	26.0549i	−0.187713	−	1.06458i	0.734706	−	0.678386i	$-0.237320\pi$
$600$	2.95099	−	3.95614i	0.120474	−	0.161509i
$601$	−14.0085	+	8.08784i	−0.571420	+	0.329910i	−0.757716	−	0.652584i	$-0.773685\pi$
$601$	−14.0085	+	8.08784i	−0.571420	+	0.329910i	0.186296	+	0.982494i	$0.440352\pi$
$602$	−0.997147	+	11.3974i	−0.0406407	+	0.464525i
$603$	24.1137	+	11.2444i	0.981986	+	0.457908i
$604$	65.4364	+	23.8169i	2.66257	+	0.969095i
$605$	−0.651012	−	22.7392i	−0.0264674	−	0.924478i
$606$	−1.88196	+	10.6731i	−0.0764495	+	0.433567i
$607$	−26.7277	+	26.7277i	−1.08484	+	1.08484i	−0.0887942	+	0.996050i	$0.528301\pi$
$607$	−26.7277	+	26.7277i	−1.08484	+	1.08484i	−0.996050	+	0.0887942i	$0.971699\pi$
$608$	16.3229	−	17.0052i	0.661982	−	0.689653i
$609$		−	2.29278i		−	0.0929081i
$610$	−0.295979	+	1.24624i	−0.0119838	+	0.0504587i
$611$	16.4037	−	19.5491i	0.663622	−	0.790873i
$612$	−6.03201	−	12.9357i	−0.243830	−	0.522894i
$613$	4.91970	−	10.5503i	0.198705	−	0.426124i	−0.781555	−	0.623836i	$-0.785573\pi$
$613$	4.91970	−	10.5503i	0.198705	−	0.426124i	0.980260	+	0.197712i	$0.0633512\pi$
$614$	−26.1984	−	31.2220i	−1.05728	−	1.26002i
$615$	2.39824	+	4.78085i	0.0967063	+	0.192783i
$616$	2.53758	+	1.46507i	0.102242	+	0.0590294i
$617$	16.7231	−	23.8831i	0.673248	−	0.961497i	−0.326619	−	0.945156i	$-0.605909\pi$
$617$	16.7231	−	23.8831i	0.673248	−	0.961497i	0.999866	−	0.0163411i	$-0.00520175\pi$
$618$	3.62672	−	5.17949i	0.145888	−	0.208350i
$619$	6.64467	+	3.83630i	0.267072	+	0.154194i	0.627556	−	0.778571i	$-0.284055\pi$
$619$	6.64467	+	3.83630i	0.267072	+	0.154194i	−0.360484	+	0.932765i	$0.617389\pi$
$620$	10.4785	−	31.5730i	0.420828	−	1.26800i
$621$	−9.85483	−	11.7445i	−0.395461	−	0.471292i
$622$	2.59119	−	5.55682i	0.103897	−	0.222808i
$623$	−6.28087	−	13.4694i	−0.251638	−	0.539639i
$624$	−0.0987815	+	0.117723i	−0.00395442	+	0.00471270i
$625$	−9.94487	+	22.9369i	−0.397795	+	0.917474i
$626$		−	3.40567i		−	0.136118i
$627$	−0.584842	−	1.18998i	−0.0233563	−	0.0475233i
$628$	−11.4786	+	11.4786i	−0.458045	+	0.458045i
$629$	−2.76459	+	15.6787i	−0.110231	+	0.625153i
$630$	−16.2092	+	0.464062i	−0.645790	+	0.0184887i
$631$	46.5410	+	16.9396i	1.85277	+	0.674353i	0.983741	+	0.179591i	$0.0574775\pi$
$631$	46.5410	+	16.9396i	1.85277	+	0.674353i	0.869029	+	0.494762i	$0.164745\pi$
$632$	16.7778	+	7.82361i	0.667385	+	0.311207i
$633$	0.472569	−	5.40149i	0.0187829	−	0.214690i
$634$	1.90271	−	1.09853i	0.0755662	−	0.0436282i
$635$	−2.26046	+	3.43337i	−0.0897037	+	0.136249i
$636$	0.472130	+	2.67758i	0.0187212	+	0.106173i
$637$	−10.1893	−	7.13463i	−0.403715	−	0.282685i
$638$	−3.39289	−	12.6624i	−0.134326	−	0.501310i
$639$	12.2548	+	21.2259i	0.484792	+	0.839684i
$640$	25.0100	+	33.6271i	0.988608	+	1.32923i
$641$	−6.68223	−	18.3593i	−0.263932	−	0.725148i	−0.998893	−	0.0470384i	$-0.985022\pi$
$641$	−6.68223	−	18.3593i	−0.263932	−	0.725148i	0.734961	−	0.678110i	$-0.237201\pi$
$642$	7.13388	−	3.32658i	0.281552	−	0.131290i
$643$	−37.5158	+	3.28220i	−1.47948	+	0.129438i	−0.798113	−	0.602507i	$-0.794168\pi$
$643$	−37.5158	+	3.28220i	−1.47948	+	0.129438i	−0.681364	+	0.731945i	$0.738613\pi$
$644$	−27.4906	−	4.84733i	−1.08328	−	0.191011i
$645$	2.26497	+	2.54752i	0.0891832	+	0.100309i
$646$	7.80585	+	12.9028i	0.307117	+	0.507654i
$647$	26.8404	+	26.8404i	1.05520	+	1.05520i	0.998384	+	0.0568195i	$0.0180959\pi$
$647$	26.8404	+	26.8404i	1.05520	+	1.05520i	0.0568195	+	0.998384i	$0.481904\pi$
$648$	−19.3458	+	13.5461i	−0.759975	+	0.532141i
$649$	−1.77801	−	1.49193i	−0.0697929	−	0.0585632i
$650$	11.0700	−	21.9909i	0.434200	−	0.862553i
$651$	1.55618	−	0.566403i	0.0609915	−	0.0221991i
$652$	45.4163	+	3.97341i	1.77864	+	0.155611i
$653$	8.97909	+	2.40594i	0.351379	+	0.0941517i	0.430191	−	0.902738i	$-0.358446\pi$
$653$	8.97909	+	2.40594i	0.351379	+	0.0941517i	−0.0788123	+	0.996889i	$0.525113\pi$
$654$	−0.146592	+	0.253904i	−0.00573219	+	0.00992844i
$655$	1.08024	−	1.36488i	0.0422086	−	0.0533303i
$656$	1.50958	−	0.266179i	0.0589391	−	0.0103926i
$657$	18.6300	−	4.99190i	0.726826	−	0.194753i
$658$	−7.74217	+	28.8942i	−0.301821	+	1.12641i
$659$	−27.5139	+	23.0869i	−1.07179	+	0.899339i	−0.995213	−	0.0977247i	$-0.968844\pi$
$659$	−27.5139	+	23.0869i	−1.07179	+	0.899339i	−0.0765770	+	0.997064i	$0.524399\pi$
$660$	2.13988	−	0.639548i	0.0832946	−	0.0248944i
$661$	−1.30561	+	3.58715i	−0.0507825	+	0.139524i	−0.962491	−	0.271314i	$-0.912542\pi$
$661$	−1.30561	+	3.58715i	−0.0507825	+	0.139524i	0.911708	+	0.410838i	$0.134764\pi$
$662$	5.30197	+	60.6018i	0.206067	+	2.35536i
$663$	0.618759	+	0.883679i	0.0240306	+	0.0343193i
$664$	0.665545			0.0258282
$665$	10.5487	−	1.44738i	0.409061	−	0.0561269i
$666$	70.2192			2.72094
$667$	28.0007	+	39.9891i	1.08419	+	1.54839i
$668$	3.73357	+	42.6749i	0.144456	+	1.65114i
$669$	−1.28297	+	3.52494i	−0.0496026	+	0.136282i
$670$	22.4923	−	41.6679i	0.868952	−	1.60977i
$671$	−0.173566	+	0.145639i	−0.00670045	+	0.00562234i
$672$	−0.511561	+	1.90917i	−0.0197339	+	0.0736479i
$673$	6.36664	−	1.70594i	0.245416	−	0.0657590i	−0.134014	−	0.990979i	$-0.542787\pi$
$673$	6.36664	−	1.70594i	0.245416	−	0.0657590i	0.379430	+	0.925220i	$0.376120\pi$
$674$	−9.52297	+	1.67916i	−0.366811	+	0.0646787i
$675$	−6.55525	+	7.35223i	−0.252312	+	0.282987i
$676$	13.8089	−	23.9177i	0.531111	−	0.919911i
$677$	−47.5516	−	12.7414i	−1.82755	−	0.489692i	−0.829886	−	0.557933i	$-0.811595\pi$
$677$	−47.5516	−	12.7414i	−1.82755	−	0.489692i	−0.997669	+	0.0682414i	$0.978261\pi$
$678$	−7.40789	−	0.648107i	−0.284498	−	0.0248904i
$679$	−13.9328	+	5.07112i	−0.534691	+	0.194612i
$680$	−9.22941	+	3.66162i	−0.353932	+	0.140417i
$681$	3.62253	+	3.03967i	0.138816	+	0.116480i
$682$	7.75621	−	5.43095i	0.297000	−	0.207962i
$683$	9.35713	+	9.35713i	0.358041	+	0.358041i	0.863090	−	0.505050i	$-0.168526\pi$
$683$	9.35713	+	9.35713i	0.358041	+	0.358041i	−0.505050	+	0.863090i	$0.668526\pi$
$684$	31.1142	−	27.2123i	1.18968	−	1.04049i
$685$	−0.547332	+	9.32232i	−0.0209125	+	0.356187i
$686$	31.6691	+	5.58411i	1.20913	+	0.213202i
$687$	−4.74000	+	0.414696i	−0.180842	+	0.0158217i
$688$	0.885397	−	0.412867i	0.0337554	−	0.0157404i
$689$	1.81325	+	4.98187i	0.0690794	+	0.189794i
$690$	−10.7386	+	7.98680i	−0.408812	+	0.304052i
$691$	11.7412	+	20.3363i	0.446656	+	0.773631i	0.998166	−	0.0605375i	$-0.0192815\pi$
$691$	11.7412	+	20.3363i	0.446656	+	0.773631i	−0.551510	+	0.834168i	$0.685948\pi$
$692$	−2.45275	−	9.15379i	−0.0932396	−	0.347975i
$693$	−2.34962	−	1.64522i	−0.0892549	−	0.0624969i
$694$	7.93135	+	44.9809i	0.301070	+	1.70745i
$695$	−6.50971	−	31.6011i	−0.246927	−	1.19870i
$696$	−5.36248	+	3.09603i	−0.203264	+	0.117355i
$697$	0.937826	−	10.7194i	0.0355227	−	0.406026i
$698$	−49.6284	−	23.1421i	−1.87846	−	0.875942i
$699$	5.86833	+	2.13590i	0.221961	+	0.0807871i
$700$	−0.538375	+	17.9267i	−0.0203487	+	0.677565i
$701$	2.02579	−	11.4888i	0.0765130	−	0.433927i	−0.922354	−	0.386345i	$-0.873737\pi$
$701$	2.02579	−	11.4888i	0.0765130	−	0.433927i	0.998867	−	0.0475819i	$-0.0151515\pi$
$702$	6.85927	−	6.85927i	0.258886	−	0.258886i
$703$	−45.8396	+	4.95777i	−1.72887	+	0.186986i
$704$			11.6908i			0.440612i
$705$	4.67538	+	7.58787i	0.176085	+	0.285776i
$706$	−47.7512	+	56.9077i	−1.79714	+	2.14175i
$707$	−6.50597	−	13.9521i	−0.244682	−	0.524723i
$708$	−1.18530	+	2.54189i	−0.0445464	+	0.0955300i
$709$	−2.17987	−	2.59787i	−0.0818668	−	0.0975650i	0.723556	−	0.690265i	$-0.242506\pi$
$709$	−2.17987	−	2.59787i	−0.0818668	−	0.0975650i	−0.805423	+	0.592700i	$0.798062\pi$
$710$	38.9886	−	19.5580i	1.46322	−	0.733999i
$711$	−15.6941	−	9.06096i	−0.588573	−	0.339813i
$712$	−23.0216	+	32.8782i	−0.862771	+	1.23216i
$713$	−20.2246	+	28.8837i	−0.757418	+	1.08170i
$714$	−1.09510	−	0.632256i	−0.0409830	−	0.0236616i
$715$	3.89263	−	1.95268i	0.145576	−	0.0730259i
$716$	−24.7741	−	29.5247i	−0.925853	−	1.10339i
$717$	1.39555	−	2.99276i	0.0521177	−	0.111767i
$718$	27.5275	+	59.0329i	1.02732	+	2.20309i
$719$	−10.4802	+	12.4898i	−0.390844	+	0.465790i	−0.925206	−	0.379466i	$-0.876108\pi$
$719$	−10.4802	+	12.4898i	−0.390844	+	0.465790i	0.534361	+	0.845256i	$0.320552\pi$
$720$	0.726356	+	1.17883i	0.0270697	+	0.0439326i
$721$			8.98143i			0.334486i
$722$	−29.5918	+	32.1196i	−1.10129	+	1.19537i
$723$	−5.62257	+	5.62257i	−0.209106	+	0.209106i
$724$	9.01252	−	51.1126i	0.334948	−	1.89958i
$725$	22.8340	−	21.5024i	0.848032	−	0.798581i
$726$	−7.35221	−	2.67598i	−0.272866	−	0.0993151i
$727$	−47.2763	−	22.0453i	−1.75338	−	0.817615i	−0.983847	−	0.179011i	$-0.942710\pi$
$727$	−47.2763	−	22.0453i	−1.75338	−	0.817615i	−0.769535	−	0.638605i	$-0.779512\pi$
$728$	0.601728	−	6.87778i	0.0223015	−	0.254907i
$729$	18.3091	−	10.5708i	0.678114	−	0.391510i
$730$	−6.92541	−	33.6191i	−0.256321	−	1.24430i
$731$	−1.19084	−	6.75361i	−0.0440449	−	0.249791i
$732$	0.224273	+	0.157037i	0.00828935	+	0.00580427i
$733$	11.2613	+	42.0276i	0.415944	+	1.55233i	0.782937	+	0.622101i	$0.213721\pi$
$733$	11.2613	+	42.0276i	0.415944	+	1.55233i	−0.366992	+	0.930224i	$0.619612\pi$
$734$	18.3880	+	31.8489i	0.678713	+	1.17556i
$735$	3.48582	−	2.59256i	0.128576	−	0.0956282i
$736$	−14.3936	−	39.5460i	−0.530554	−	1.45768i
$737$	7.59101	−	3.53975i	0.279618	−	0.130388i
$738$	−47.2788	+	4.13636i	−1.74036	+	0.152262i
$739$	−26.2077	−	4.62112i	−0.964066	−	0.169991i	−0.330608	−	0.943768i	$-0.607254\pi$
$739$	−26.2077	−	4.62112i	−0.964066	−	0.169991i	−0.633458	+	0.773777i	$0.718365\pi$
$740$	4.55190	−	77.5292i	0.167331	−	2.85003i
$741$	−1.95878	+	2.43387i	−0.0719576	+	0.0894103i
$742$	−4.39424	−	4.39424i	−0.161318	−	0.161318i
$743$	−8.30405	+	5.81456i	−0.304646	+	0.213315i	−0.715896	−	0.698207i	$-0.753981\pi$
$743$	−8.30405	+	5.81456i	−0.304646	+	0.213315i	0.411250	+	0.911523i	$0.365092\pi$
$744$	−3.42610	−	2.87484i	−0.125607	−	0.105397i
$745$	35.8479	−	14.2221i	1.31336	−	0.521056i
$746$	1.06959	−	0.389300i	0.0391606	−	0.0142533i
$747$	−0.649033	−	0.0567831i	−0.0237469	−	0.00207758i
$748$	−4.34003	−	1.16291i	−0.158687	−	0.0425202i
$749$	−5.59040	+	9.68286i	−0.204269	+	0.353804i
$750$	6.07149	+	6.08853i	0.221699	+	0.222322i
$751$	11.6832	−	2.06006i	0.426326	−	0.0751727i	0.0436312	−	0.999048i	$-0.486107\pi$
$751$	11.6832	−	2.06006i	0.426326	−	0.0751727i	0.382694	+	0.923875i	$0.374996\pi$
$752$	2.46723	−	0.661092i	0.0899706	−	0.0241075i
$753$	−0.243448	+	0.908559i	−0.00887172	+	0.0331097i
$754$	−23.6615	+	19.8544i	−0.861702	+	0.723054i
$755$	−22.5260	+	41.7304i	−0.819805	+	1.51873i
$756$	−2.41687	+	6.64029i	−0.0879006	+	0.241505i
$757$	−1.75655	−	20.0775i	−0.0638431	−	0.729729i	−0.958894	−	0.283765i	$-0.908416\pi$
$757$	−1.75655	−	20.0775i	−0.0638431	−	0.729729i	0.895051	−	0.445964i	$-0.147139\pi$
$758$	1.20558	+	1.72174i	0.0437885	+	0.0625365i
$759$	−2.36729			−0.0859270
$760$	−17.6295	−	22.7174i	−0.639490	−	0.824048i
$761$	−24.8234			−0.899848			−0.449924	−	0.893067i	$-0.648549\pi$
$761$	−24.8234			−0.899848			−0.449924	+	0.893067i	$0.648549\pi$
$762$	0.810933	+	1.15813i	0.0293770	+	0.0419547i
$763$	−0.0362960	−	0.414865i	−0.00131400	−	0.0150191i
$764$	21.6799	−	59.5649i	0.784350	−	2.15498i
$765$	9.31284	−	2.78334i	0.336706	−	0.100632i
$766$	25.1899	−	21.1368i	0.910148	−	0.763705i
$767$	−1.41544	+	5.28249i	−0.0511086	+	0.190740i
$768$	5.61111	−	1.50349i	0.202473	−	0.0542526i
$769$	10.2756	−	1.81187i	0.370548	−	0.0653377i	0.0147267	−	0.999892i	$-0.495312\pi$
$769$	10.2756	−	1.81187i	0.370548	−	0.0653377i	0.355822	+	0.934554i	$0.384201\pi$
$770$	−3.16802	+	4.00277i	−0.114167	+	0.144250i
$771$	2.15395	−	3.73075i	0.0775725	−	0.134360i
$772$	10.6026	+	2.84095i	0.381595	+	0.102248i
$773$	37.6398	+	3.29305i	1.35381	+	0.118443i	0.740849	−	0.671672i	$-0.234423\pi$
$773$	37.6398	+	3.29305i	1.35381	+	0.118443i	0.612959	+	0.790115i	$0.289979\pi$
$774$	−28.4228	+	10.3450i	−1.02164	+	0.371845i
$775$	20.2352	+	10.1862i	0.726870	+	0.365899i
$776$	30.6746	+	25.7390i	1.10115	+	0.923977i
$777$	3.16698	−	2.21754i	0.113615	−	0.0795539i
$778$	−23.7791	−	23.7791i	−0.852521	−	0.852521i
$779$	30.5719	−	6.03833i	1.09535	−	0.216346i
$780$	−3.49658	−	3.93277i	−0.125198	−	0.140816i
$781$	7.59841	+	1.33980i	0.271892	+	0.0479420i
$782$	26.8214	−	2.34657i	0.959133	−	0.0839132i
$783$	11.2001	−	5.22270i	0.400259	−	0.186644i
$784$	−0.425818	−	1.16993i	−0.0152078	−	0.0417830i
$785$	−6.59731	−	8.87037i	−0.235468	−	0.316597i
$786$	−0.299335	−	0.518464i	−0.0106769	−	0.0184930i
$787$	−1.79456	−	6.69740i	−0.0639693	−	0.238737i	0.926537	−	0.376203i	$-0.122771\pi$
$787$	−1.79456	−	6.69740i	−0.0639693	−	0.238737i	−0.990506	+	0.137467i	$0.956104\pi$
$788$	34.6489	+	24.2614i	1.23431	+	0.864276i
$789$	0.436081	+	2.47314i	0.0155249	+	0.0880461i
$790$	−17.7349	+	26.9372i	−0.630979	+	0.958381i
$791$	9.14753	−	5.28133i	0.325249	−	0.187783i
$792$	−0.675153	+	7.71704i	−0.0239905	+	0.274213i
$793$	0.483840	+	0.225618i	0.0171817	+	0.00801195i
$794$	−22.2987	−	8.11605i	−0.791350	−	0.288028i
$795$	−1.85080	+	0.0529877i	−0.0656412	+	0.00187928i
$796$	−4.83969	+	27.4473i	−0.171538	+	0.972843i
$797$	−17.7625	+	17.7625i	−0.629179	+	0.629179i	−0.947862	−	0.318682i	$-0.896760\pi$
$797$	−17.7625	+	17.7625i	−0.629179	+	0.629179i	0.318682	+	0.947862i	$0.396760\pi$
$798$	0.875219	−	3.55597i	0.0309824	−	0.125880i
$799$		−	17.9303i		−	0.634329i
$800$	−23.8112	+	12.8102i	−0.841852	+	0.452908i
$801$	25.2556	−	30.0984i	0.892361	−	1.06347i
$802$	4.40206	+	9.44025i	0.155442	+	0.333347i
$803$	2.56598	−	5.50276i	0.0905515	−	0.194188i
$804$	−6.50567	−	7.75316i	−0.229437	−	0.273433i
$805$	5.98788	−	18.0422i	0.211045	−	0.635903i
$806$	−19.3211	−	11.1550i	−0.680555	−	0.392919i
$807$	−0.143761	+	0.205313i	−0.00506064	+	0.00722735i
$808$	−23.8467	+	34.0566i	−0.838923	+	1.19811i
$809$	−40.4029	−	23.3266i	−1.42049	−	0.820120i	−0.424149	−	0.905592i	$-0.639427\pi$
$809$	−40.4029	−	23.3266i	−1.42049	−	0.820120i	−0.996341	+	0.0854725i	$0.972760\pi$
$810$	−18.4483	−	36.7764i	−0.648208	−	1.29219i
$811$	1.01348	+	1.20782i	0.0355880	+	0.0424121i	0.783545	−	0.621335i	$-0.213409\pi$
$811$	1.01348	+	1.20782i	0.0355880	+	0.0424121i	−0.747957	+	0.663747i	$0.768965\pi$
$812$	9.50923	−	20.3926i	0.333709	−	0.715640i
$813$	−1.35508	−	2.90598i	−0.0475248	−	0.101917i
$814$	14.2089	−	16.9335i	0.498020	−	0.593517i
$815$	−7.17396	+	30.2064i	−0.251293	+	1.05809i
$816$			0.107975i			0.00377987i
$817$	17.8242	−	8.76009i	0.623589	−	0.306477i
$818$	−6.48878	+	6.48878i	−0.226875	+	0.226875i
$819$	−1.17360	+	6.65581i	−0.0410089	+	0.232573i
$820$	1.50216	+	52.4688i	0.0524576	+	1.83229i
$821$	16.0517	+	5.84233i	0.560207	+	0.203899i	0.606576	−	0.795026i	$-0.292543\pi$
$821$	16.0517	+	5.84233i	0.560207	+	0.203899i	−0.0463686	+	0.998924i	$0.514765\pi$
$822$	2.91089	+	1.35737i	0.101529	+	0.0473438i
$823$	1.42696	−	16.3102i	0.0497406	−	0.568537i	−0.929905	−	0.367801i	$-0.880111\pi$
$823$	1.42696	−	16.3102i	0.0497406	−	0.568537i	0.979645	−	0.200737i	$-0.0643336\pi$
$824$	21.0062	−	12.1280i	0.731787	−	0.422498i
$825$	0.219028	+	1.50509i	0.00762557	+	0.0524007i
$826$	−1.11316	−	6.31305i	−0.0387318	−	0.219659i
$827$	31.2397	+	21.8743i	1.08631	+	0.760643i	0.972510	−	0.232860i	$-0.0748085\pi$
$827$	31.2397	+	21.8743i	1.08631	+	0.760643i	0.113801	+	0.993504i	$0.463697\pi$
$828$	−19.1006	−	71.2843i	−0.663790	−	2.47730i
$829$	23.1294	+	40.0614i	0.803319	+	1.39139i	0.917420	+	0.397919i	$0.130268\pi$
$829$	23.1294	+	40.0614i	0.803319	+	1.39139i	−0.114102	+	0.993469i	$0.536399\pi$
$830$	−0.168582	+	1.14716i	−0.00585155	+	0.0398185i
$831$	−0.944923	−	2.59615i	−0.0327790	−	0.0900596i
$832$	24.9651	−	11.6414i	0.865510	−	0.403594i
$833$	−8.70640	+	0.761711i	−0.301659	+	0.0263917i
$834$	−10.9284	−	1.92698i	−0.378420	−	0.0667257i
$835$	−29.1224	−	1.70984i	−1.00782	−	0.0591714i
$836$	−0.266337	−	13.0096i	−0.00921145	−	0.449947i
$837$	6.31165	+	6.31165i	0.218163	+	0.218163i
$838$	46.8837	−	32.8283i	1.61957	−	1.13404i
$839$	26.4145	+	22.1644i	0.911928	+	0.765199i	0.972485	−	0.232966i	$-0.0748431\pi$
$839$	26.4145	+	22.1644i	0.911928	+	0.765199i	−0.0605565	+	0.998165i	$0.519288\pi$
$840$	2.21357	+	0.956068i	0.0763755	+	0.0329875i
$841$	−9.72563	+	3.53984i	−0.335367	+	0.122063i
$842$	−22.1547	−	1.93829i	−0.763503	−	0.0667979i
$843$	1.46330	+	0.392089i	0.0503986	+	0.0135043i
$844$	26.6057	−	46.0824i	0.915805	−	1.58622i
$845$	14.7476	+	11.6721i	0.507333	+	0.401532i
$846$	−77.8817	+	13.7326i	−2.67763	+	0.472138i
$847$	10.7349	−	2.87641i	0.368856	−	0.0988347i
$848$	−0.137339	+	0.512557i	−0.00471625	+	0.0176013i
$849$	3.07269	−	2.57829i	0.105454	−	0.0884868i
$850$	−3.97352	−	16.8357i	−0.136291	−	0.577459i
$851$	−28.1545	+	77.3538i	−0.965123	+	2.65165i
$852$	−0.812583	−	9.28787i	−0.0278386	−	0.318197i
$853$	−1.55285	−	2.21770i	−0.0531685	−	0.0759324i	0.791688	−	0.610926i	$-0.209203\pi$
$853$	−1.55285	−	2.21770i	−0.0531685	−	0.0759324i	−0.844856	+	0.534994i	$0.820314\pi$
$854$	−0.625776			−0.0214136
$855$	15.2539	+	23.6580i	0.521674	+	0.809085i
$856$	30.1957			1.03207
$857$	0.496284	+	0.708768i	0.0169528	+	0.0242110i	0.827539	−	0.561408i	$-0.189740\pi$
$857$	0.496284	+	0.708768i	0.0169528	+	0.0242110i	−0.810586	+	0.585619i	$0.800851\pi$
$858$	−0.130544	−	1.49213i	−0.00445671	−	0.0509404i
$859$	1.69553	−	4.65844i	0.0578508	−	0.158944i	−0.907401	−	0.420267i	$-0.861937\pi$
$859$	1.69553	−	4.65844i	0.0578508	−	0.158944i	0.965251	+	0.261323i	$0.0841587\pi$
$860$	9.57951	+	32.0523i	0.326659	+	1.09297i
$861$	−2.00171	+	1.67963i	−0.0682181	+	0.0572418i
$862$	8.17386	−	30.5053i	0.278403	−	1.03901i
$863$	11.9228	−	3.19471i	0.405858	−	0.108749i	−0.0501141	−	0.998744i	$-0.515958\pi$
$863$	11.9228	−	3.19471i	0.405858	−	0.108749i	0.455972	+	0.889994i	$0.349292\pi$
$864$	−10.4915	+	1.84993i	−0.356928	+	0.0629360i
$865$	6.41034	−	0.746226i	0.217958	−	0.0253725i
$866$	27.5708	−	47.7540i	0.936893	−	1.62275i
$867$	−4.76196	−	1.27596i	−0.161725	−	0.0433340i
$868$	16.1902	+	1.41646i	0.549532	+	0.0480778i
$869$	−5.36075	+	1.95115i	−0.181851	+	0.0661884i
$870$	−3.97813	−	10.0272i	−0.134871	−	0.339954i
$871$	−15.1180	−	12.6855i	−0.512253	−	0.429831i
$872$	−0.921296	+	0.645099i	−0.0311990	+	0.0218458i
$873$	−27.7176	−	27.7176i	−0.938097	−	0.938097i
$874$	28.1625	+	72.7095i	0.952609	+	2.45943i
$875$	−12.0250	−	2.13772i	−0.406520	−	0.0722680i
$876$	−7.22532	−	1.27402i	−0.244121	−	0.0430451i
$877$	−11.6269	+	1.01722i	−0.392614	+	0.0343492i	−0.281754	−	0.959487i	$-0.590916\pi$
$877$	−11.6269	+	1.01722i	−0.392614	+	0.0343492i	−0.110860	+	0.993836i	$0.535361\pi$
$878$	40.7299	−	18.9926i	1.37457	−	0.640971i
$879$	1.52196	+	4.18156i	0.0513345	+	0.141040i
$880$	0.431255	+	0.0633754i	0.0145376	+	0.00213638i
$881$	15.5870	+	26.9974i	0.525138	+	0.909566i	0.999571	+	0.0292745i	$0.00931970\pi$
$881$	15.5870	+	26.9974i	0.525138	+	0.909566i	−0.474433	+	0.880291i	$0.657347\pi$
$882$	9.97670	+	37.2336i	0.335933	+	1.25372i
$883$	−3.84160	−	2.68992i	−0.129280	−	0.0905229i	0.507148	−	0.861859i	$-0.330700\pi$
$883$	−3.84160	−	2.68992i	−0.129280	−	0.0905229i	−0.636428	+	0.771336i	$0.719589\pi$
$884$	1.83838	+	10.4260i	0.0618314	+	0.350663i
$885$	−1.59527	−	1.05029i	−0.0536244	−	0.0353052i
$886$	−37.6716	+	21.7497i	−1.26560	+	0.730695i
$887$	2.97829	−	34.0421i	0.100001	−	1.14302i	−0.765953	−	0.642897i	$-0.777732\pi$
$887$	2.97829	−	34.0421i	0.100001	−	1.14302i	0.865954	−	0.500124i	$-0.166712\pi$
$888$	−9.46300	−	4.41267i	−0.317557	−	0.148079i
$889$	−1.88713	−	0.686860i	−0.0632924	−	0.0230366i
$890$	−50.8389	−	48.0090i	−1.70412	−	1.60926i
$891$	1.26379	−	7.16729i	0.0423384	−	0.240113i
$892$	−26.0307	+	26.0307i	−0.871572	+	0.871572i
$893$	49.8721	−	14.4635i	1.66891	−	0.484004i
$894$		−	13.2643i		−	0.443625i
$895$	22.3456	−	13.7686i	0.746931	−	0.460232i
$896$	−13.1603	+	15.6839i	−0.439656	+	0.523962i
$897$	2.35730	+	5.05524i	0.0787079	+	0.168790i
$898$	23.7260	−	50.8805i	0.791746	−	1.69791i
$899$	−18.2693	−	21.7725i	−0.609315	−	0.726153i
$900$	−43.5545	+	18.7393i	−1.45182	+	0.624645i
$901$	3.22590	+	1.86247i	0.107470	+	0.0620480i
$902$	−8.56938	+	12.2383i	−0.285329	+	0.407492i
$903$	−0.955205	+	1.36417i	−0.0317872	+	0.0453969i
$904$	−24.7045	−	14.2632i	−0.821660	−	0.474386i
$905$	33.5454	+	11.1331i	1.11509	+	0.370078i
$906$	10.4840	+	12.4944i	0.348308	+	0.415097i
$907$	10.3231	−	22.1380i	0.342773	−	0.735079i	−0.657051	−	0.753846i	$-0.728196\pi$
$907$	10.3231	−	22.1380i	0.342773	−	0.735079i	0.999824	+	0.0187673i	$0.00597417\pi$
$908$	19.6129	+	42.0600i	0.650876	+	1.39581i
$909$	26.1607	−	31.1771i	0.867695	−	1.03408i
$910$	11.7024	+	2.77929i	0.387931	+	0.0921327i
$911$			10.6067i			0.351414i	0.984443	+	0.175707i	$0.0562211\pi$
$911$			10.6067i			0.351414i	−0.984443	+	0.175707i	$0.943779\pi$
$912$	−0.300326	+	0.0870981i	−0.00994477	+	0.00288411i
$913$	−0.145025	+	0.145025i	−0.00479963	+	0.00479963i
$914$	0.0618422	−	0.350725i	0.00204556	−	0.0116009i
$915$	−0.128012	+	0.135558i	−0.00423194	+	0.00448140i
$916$	−43.8788	−	15.9706i	−1.44980	−	0.527683i
$917$	0.770703	+	0.359385i	0.0254509	+	0.0118679i
$918$	0.594022	−	6.78971i	0.0196057	−	0.224094i
$919$	−35.6084	+	20.5585i	−1.17461	+	0.678163i	−0.954762	−	0.297371i	$-0.903890\pi$
$919$	−35.6084	+	20.5585i	−1.17461	+	0.678163i	−0.219851	+	0.975534i	$0.570557\pi$
$920$	−50.2837	+	10.3583i	−1.65780	+	0.341502i
$921$	−1.03019	−	5.84252i	−0.0339461	−	0.192518i
$922$	35.3535	+	24.7548i	1.16431	+	0.815256i
$923$	−4.70525	−	17.5602i	−0.154875	−	0.578002i
$924$	0.545557	+	0.944933i	0.0179475	+	0.0310860i
$925$	51.7856	+	10.7433i	1.70270	+	0.353238i
$926$	−11.0149	−	30.2631i	−0.361971	−	0.994508i
$927$	−21.5198	+	10.0349i	−0.706804	+	0.329588i
$928$	33.7929	−	2.95650i	1.10931	−	0.0970518i
$929$	29.4849	+	5.19898i	0.967367	+	0.170573i	0.634945	−	0.772558i	$-0.281023\pi$
$929$	29.4849	+	5.19898i	0.967367	+	0.170573i	0.332423	+	0.943131i	$0.392134\pi$
$930$	5.82302	−	5.17717i	0.190944	−	0.169766i
$931$	−9.14170	−	23.6019i	−0.299607	−	0.773522i
$932$	43.3360	+	43.3360i	1.41952	+	1.41952i
$933$	0.731067	−	0.511899i	0.0239341	−	0.0167588i
$934$	−14.5389	−	12.1996i	−0.475728	−	0.399183i
$935$	1.21325	−	2.80901i	0.0396774	−	0.0918645i
$936$	17.1517	−	6.24271i	0.560621	−	0.204049i
$937$	−36.7446	−	3.21474i	−1.20039	−	0.105021i	−0.530636	−	0.847600i	$-0.678047\pi$
$937$	−36.7446	−	3.21474i	−1.20039	−	0.105021i	−0.669758	+	0.742579i	$0.733602\pi$
$938$	22.3448	+	5.98726i	0.729582	+	0.195491i
$939$	0.247865	−	0.429315i	0.00808877	−	0.0140102i
$940$	10.1136	+	86.8796i	0.329870	+	2.83370i
$941$	−42.9712	+	7.57699i	−1.40082	+	0.247003i	−0.822481	−	0.568793i	$-0.807411\pi$
$941$	−42.9712	+	7.57699i	−1.40082	+	0.247003i	−0.578341	+	0.815795i	$0.696300\pi$
$942$	−3.67260	+	0.984069i	−0.119660	+	0.0320627i
$943$	14.3999	−	53.7410i	0.468924	−	1.75005i
$944$	−0.419316	+	0.351848i	−0.0136476	+	0.0114517i
$945$	−4.23468	−	2.28587i	−0.137754	−	0.0743594i
$946$	−3.25663	+	8.94751i	−0.105882	+	0.290909i
$947$	−3.07055	−	35.0966i	−0.0997796	−	1.14049i	−0.866729	−	0.498779i	$-0.833782\pi$
$947$	−3.07055	−	35.0966i	−0.0997796	−	1.14049i	0.766950	−	0.641707i	$-0.221774\pi$
$948$	3.95396	+	5.64684i	0.128419	+	0.183401i
$949$	−14.3061			−0.464395
$950$	43.6222	−	24.6327i	1.41529	−	0.799189i
$951$	0.319804			0.0103704
$952$	−2.78233	−	3.97359i	−0.0901760	−	0.128785i
$953$	1.39310	+	15.9232i	0.0451268	+	0.515802i	0.984796	+	0.173717i	$0.0555777\pi$
$953$	1.39310	+	15.9232i	0.0451268	+	0.515802i	−0.939669	+	0.342085i	$0.888867\pi$
$954$	5.61912	−	15.4384i	0.181926	−	0.499837i
$955$	37.9861	+	20.5048i	1.22920	+	0.663520i
$956$	24.8248	−	20.8305i	0.802891	−	0.673706i
$957$	0.493869	−	1.84314i	0.0159645	−	0.0595804i
$958$	−78.2708	+	20.9726i	−2.52881	+	0.677594i
$959$	−4.49288	+	0.792217i	−0.145083	+	0.0255820i
$960$	1.11239	+	9.55580i	0.0359022	+	0.308412i
$961$	−5.23556	+	9.06825i	−0.168889	+	0.292524i
$962$	−50.3096	−	13.4804i	−1.62205	−	0.434626i
$963$	−29.4466	−	2.57624i	−0.948903	−	0.0830182i
$964$	−73.3281	+	26.6893i	−2.36174	+	0.859603i
$965$	−2.96392	+	6.86233i	−0.0954121	+	0.220906i
$966$	−5.00856	−	4.20268i	−0.161148	−	0.135219i
$967$	18.6250	−	13.0414i	0.598939	−	0.419382i	−0.234403	−	0.972140i	$-0.575313\pi$
$967$	18.6250	−	13.0414i	0.598939	−	0.419382i	0.833342	+	0.552758i	$0.186425\pi$
$968$	−21.2233	−	21.2233i	−0.682142	−	0.682142i
$969$	0.0449289	+	2.19462i	0.00144332	+	0.0705014i
$970$	−52.1346	+	46.3523i	−1.67394	+	1.48828i
$971$	11.8099	+	2.08241i	0.378999	+	0.0668277i	0.359902	−	0.932990i	$-0.382810\pi$
$971$	11.8099	+	2.08241i	0.378999	+	0.0668277i	0.0190962	+	0.999818i	$0.493921\pi$
$972$	−28.0930	+	2.45782i	−0.901083	+	0.0788345i
$973$	14.2858	−	6.66158i	0.457982	−	0.213561i
$974$	21.0421	+	57.8127i	0.674232	+	1.85244i
$975$	2.99596	−	1.96647i	0.0959476	−	0.0629774i
$976$	0.0267170	+	0.0462753i	0.000855192	+	0.00148124i
$977$	−12.7075	−	47.4252i	−0.406550	−	1.51727i	−0.801178	−	0.598426i	$-0.795793\pi$
$977$	−12.7075	−	47.4252i	−0.406550	−	1.51727i	0.394628	−	0.918841i	$-0.370873\pi$
$978$	8.74699	+	6.12471i	0.279698	+	0.195847i
$979$	−2.14781	−	12.1808i	−0.0686442	−	0.389301i
$980$	41.7564	−	8.60167i	1.33386	−	0.274770i
$981$	0.953478	−	0.550491i	0.0304422	−	0.0175758i
$982$	7.08059	−	80.9316i	0.225951	−	2.58263i
$983$	16.4975	+	7.69293i	0.526190	+	0.245366i	0.667514	−	0.744597i	$-0.267358\pi$
$983$	16.4975	+	7.69293i	0.526190	+	0.245366i	−0.141324	+	0.989963i	$0.545136\pi$
$984$	6.63140	+	2.41363i	0.211401	+	0.0769438i
$985$	−19.7771	+	20.9429i	−0.630152	+	0.667297i
$986$	−3.76854	+	21.3724i	−0.120015	+	0.680637i
$987$	−3.07888	+	3.07888i	−0.0980020	+	0.0980020i
$988$	−27.5163	+	13.5235i	−0.875410	+	0.430239i
$989$		−	35.4585i		−	1.12751i
$990$	−13.1304	−	3.11843i	−0.417311	−	0.0991104i
$991$	−13.0219	+	15.5189i	−0.413655	+	0.492975i	−0.932133	−	0.362116i	$-0.882054\pi$
$991$	−13.0219	+	15.5189i	−0.413655	+	0.492975i	0.518478	+	0.855091i	$0.326499\pi$
$992$	10.3548	+	22.2059i	0.328765	+	0.705039i
$993$	−3.74224	+	8.02526i	−0.118756	+	0.254674i
$994$	13.6977	+	16.3242i	0.434464	+	0.517774i
$995$	−18.0138	−	5.97845i	−0.571075	−	0.189530i
$996$	0.214630	+	0.123916i	0.00680080	+	0.00392644i
$997$	−22.2188	+	31.7318i	−0.703677	+	1.00496i	0.295098	+	0.955467i	$0.404648\pi$
$997$	−22.2188	+	31.7318i	−0.703677	+	1.00496i	−0.998775	+	0.0494880i	$0.984241\pi$
$998$	−6.54796	+	9.35146i	−0.207272	+	0.296015i
$999$	18.0466	+	10.4192i	0.570969	+	0.329649i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.r.a.2.8	✓	96
3.2	odd	2		855.2.dl.a.667.1		96
5.2	odd	4		475.2.bb.b.268.1		96
5.3	odd	4	inner	95.2.r.a.78.8	yes	96
5.4	even	2		475.2.bb.b.382.1		96
15.8	even	4		855.2.dl.a.838.1		96
19.10	odd	18	inner	95.2.r.a.67.8	yes	96
57.29	even	18		855.2.dl.a.352.1		96
95.29	odd	18		475.2.bb.b.257.1		96
95.48	even	36	inner	95.2.r.a.48.8	yes	96
95.67	even	36		475.2.bb.b.143.1		96
285.143	odd	36		855.2.dl.a.523.1		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.r.a.2.8	✓	96	1.1	even	1	trivial
95.2.r.a.48.8	yes	96	95.48	even	36	inner
95.2.r.a.67.8	yes	96	19.10	odd	18	inner
95.2.r.a.78.8	yes	96	5.3	odd	4	inner
475.2.bb.b.143.1		96	95.67	even	36
475.2.bb.b.257.1		96	95.29	odd	18
475.2.bb.b.268.1		96	5.2	odd	4
475.2.bb.b.382.1		96	5.4	even	2
855.2.dl.a.352.1		96	57.29	even	18
855.2.dl.a.523.1		96	285.143	odd	36
855.2.dl.a.667.1		96	3.2	odd	2
855.2.dl.a.838.1		96	15.8	even	4

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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.r (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(1.31842 + 1.88289i) q^{2} +(0.0291608 + 0.333309i) q^{3} +(-1.12303 + 3.08549i) q^{4} +(-1.96769 - 1.06216i) q^{5} +(-0.589140 + 0.494347i) q^{6} +(0.282738 - 1.05519i) q^{7} +(-2.84973 + 0.763583i) q^{8} +(2.84418 - 0.501505i) q^{9} +O(q^{10})\)	\(q+(1.31842 + 1.88289i) q^{2} +(0.0291608 + 0.333309i) q^{3} +(-1.12303 + 3.08549i) q^{4} +(-1.96769 - 1.06216i) q^{5} +(-0.589140 + 0.494347i) q^{6} +(0.282738 - 1.05519i) q^{7} +(-2.84973 + 0.763583i) q^{8} +(2.84418 - 0.501505i) q^{9} +(-0.594310 - 5.10532i) q^{10} +(0.454581 - 0.787357i) q^{11} +(-1.06117 - 0.284340i) q^{12} +(-2.13403 - 0.186703i) q^{13} +(2.35958 - 0.858817i) q^{14} +(0.296648 - 0.686824i) q^{15} +(-0.164249 - 0.137821i) q^{16} +(-1.23292 + 0.863300i) q^{17} +(4.69409 + 4.69409i) q^{18} +(-3.39576 - 2.73291i) q^{19} +(5.48705 - 4.87847i) q^{20} +(0.359950 + 0.0634690i) q^{21} +(2.08184 - 0.182137i) q^{22} +(-7.05313 + 3.28893i) q^{23} +(-0.337610 - 0.927575i) q^{24} +(2.74364 + 4.18000i) q^{25} +(-2.46200 - 4.26430i) q^{26} +(0.509884 + 1.90291i) q^{27} +(2.93826 + 2.05739i) q^{28} +(-1.08928 - 6.17764i) q^{29} +(1.68432 - 0.346964i) q^{30} +(3.92386 - 2.26544i) q^{31} +(-0.471310 + 5.38709i) q^{32} +(0.275689 + 0.128556i) q^{33} +(-3.25100 - 1.18327i) q^{34} +(-1.67712 + 1.77598i) q^{35} +(-1.64670 + 9.33888i) q^{36} +(7.47953 - 7.47953i) q^{37} +(0.668763 - 9.99697i) q^{38} -0.716737i q^{39} +(6.41844 + 1.52437i) q^{40} +(-4.59540 + 5.47659i) q^{41} +(0.355059 + 0.761427i) q^{42} +(-1.92558 + 4.12943i) q^{43} +(1.91887 + 2.28683i) q^{44} +(-6.12915 - 2.03416i) q^{45} +(-15.4917 - 8.94412i) q^{46} +(-6.83296 + 9.75847i) q^{47} +(0.0411475 - 0.0587647i) q^{48} +(5.02869 + 2.90331i) q^{49} +(-4.25324 + 10.6770i) q^{50} +(-0.323699 - 0.385769i) q^{51} +(2.97264 - 6.37485i) q^{52} +(-1.04592 - 2.24298i) q^{53} +(-2.91074 + 3.46889i) q^{54} +(-1.73077 + 1.06644i) q^{55} +3.22291i q^{56} +(0.811883 - 1.21153i) q^{57} +(10.1957 - 10.1957i) q^{58} +(0.443312 - 2.51415i) q^{59} +(1.78605 + 1.68663i) q^{60} +(-0.234183 - 0.0852357i) q^{61} +(9.43886 + 4.40141i) q^{62} +(0.274972 - 3.14295i) q^{63} +(-11.1361 + 6.42942i) q^{64} +(4.00081 + 2.63405i) q^{65} +(0.121416 + 0.688584i) q^{66} +(7.54653 + 5.28414i) q^{67} +(-1.27910 - 4.77367i) q^{68} +(-1.30191 - 2.25497i) q^{69} +(-5.55513 - 0.816358i) q^{70} +(2.90257 + 7.97473i) q^{71} +(-7.72220 + 3.60092i) q^{72} +(6.65286 - 0.582050i) q^{73} +(23.9443 + 4.22203i) q^{74} +(-1.31323 + 1.03637i) q^{75} +(12.2459 - 7.40844i) q^{76} +(-0.702285 - 0.702285i) q^{77} +(1.34954 - 0.944957i) q^{78} +(-4.80677 - 4.03336i) q^{79} +(0.176804 + 0.445648i) q^{80} +(7.52226 - 2.73788i) q^{81} +(-16.3705 - 1.43223i) q^{82} +(-0.217902 - 0.0583867i) q^{83} +(-0.600066 + 1.03935i) q^{84} +(3.34297 - 0.389154i) q^{85} +(-10.3140 + 1.81864i) q^{86} +(2.02730 - 0.543214i) q^{87} +(-0.694220 + 2.59086i) q^{88} +(10.4217 - 8.74483i) q^{89} +(-4.25067 - 14.2224i) q^{90} +(-0.800379 + 2.19902i) q^{91} +(-2.22710 - 25.4559i) q^{92} +(0.869516 + 1.24180i) q^{93} -27.3828 q^{94} +(3.77903 + 8.98437i) q^{95} -1.80931 q^{96} +(-7.78495 - 11.1181i) q^{97} +(1.16327 + 13.2963i) q^{98} +(0.898045 - 2.46736i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8}+O(q^{10}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26} - 18 q^{27} - 6 q^{30} - 36 q^{31} + 18 q^{32} + 90 q^{33} - 30 q^{35} + 24 q^{36} + 54 q^{38} + 54 q^{40} + 12 q^{41} + 24 q^{42} + 48 q^{43} + 12 q^{45} - 36 q^{46} - 24 q^{47} + 60 q^{48} + 126 q^{50} - 96 q^{51} - 30 q^{53} + 18 q^{55} - 66 q^{57} + 120 q^{58} + 84 q^{60} - 48 q^{61} + 60 q^{62} - 126 q^{63} + 72 q^{65} + 72 q^{66} + 108 q^{67} + 18 q^{68} + 36 q^{70} - 24 q^{71} + 48 q^{72} + 6 q^{73} + 60 q^{76} + 168 q^{77} - 138 q^{78} - 60 q^{80} - 120 q^{81} + 60 q^{82} - 36 q^{85} - 180 q^{86} - 6 q^{87} - 198 q^{88} - 270 q^{90} - 24 q^{91} - 72 q^{92} - 90 q^{93} - 24 q^{95} - 192 q^{96} - 72 q^{97} - 90 q^{98}+O(q^{100}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Introduction

L-functions

Modular forms

Varieties

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