LMFDB - Embedded newform 760.2.cj.a.149.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [760,2,Mod(149,760)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(760, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 9, 9, 4]))

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

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

chi := DirichletCharacter("760.149");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 760 = 2^{3} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	760.cj (of order $18$, degree $6$, 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:	$6.06863055362$
Analytic rank:	$0$
Dimension:	$696$
Relative dimension:	$116$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			149.11
Character	$\chi$	$=$	760.149
Dual form			760.2.cj.a.709.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.32515 - 0.493943i) q^{2} +(-1.32943 + 0.483874i) q^{3} +(1.51204 + 1.30910i) q^{4} +(0.0572752 - 2.23533i) q^{5} +(2.00070 + 0.0154588i) q^{6} +(-0.0930200 + 0.0537051i) q^{7} +(-1.35706 - 2.48161i) q^{8} +(-0.764873 + 0.641805i) q^{9} +O(q^{10})$	\(q+(-1.32515 - 0.493943i) q^{2} +(-1.32943 + 0.483874i) q^{3} +(1.51204 + 1.30910i) q^{4} +(0.0572752 - 2.23533i) q^{5} +(2.00070 + 0.0154588i) q^{6} +(-0.0930200 + 0.0537051i) q^{7} +(-1.35706 - 2.48161i) q^{8} +(-0.764873 + 0.641805i) q^{9} +(-1.18003 + 2.93386i) q^{10} +(1.18309 + 0.683058i) q^{11} +(-2.64360 - 1.00872i) q^{12} +(-1.19021 - 0.433200i) q^{13} +(0.149793 - 0.0252207i) q^{14} +(1.00548 + 2.99944i) q^{15} +(0.572534 + 3.95881i) q^{16} +(-3.49777 + 4.16848i) q^{17} +(1.33059 - 0.472683i) q^{18} +(-1.90969 - 3.91830i) q^{19} +(3.01287 - 3.30494i) q^{20} +(0.0976774 - 0.116407i) q^{21} +(-1.23038 - 1.48953i) q^{22} +(6.14709 - 1.08390i) q^{23} +(3.00491 + 2.64249i) q^{24} +(-4.99344 - 0.256059i) q^{25} +(1.36323 + 1.16195i) q^{26} +(2.82843 - 4.89898i) q^{27} +(-0.210955 - 0.0405678i) q^{28} +(3.23879 + 3.85984i) q^{29} +(0.149147 - 4.47136i) q^{30} +(1.09229 + 1.89189i) q^{31} +(1.19674 - 5.52882i) q^{32} +(-1.90335 - 0.335613i) q^{33} +(6.69407 - 3.79616i) q^{34} +(0.114721 + 0.211007i) q^{35} +(-1.99670 - 0.0308577i) q^{36} -11.7435 q^{37} +(0.595206 + 6.13561i) q^{38} +1.79192 q^{39} +(-5.62495 + 2.89135i) q^{40} +(2.32333 - 0.845623i) q^{41} +(-0.186936 + 0.106010i) q^{42} +(-1.77457 + 10.0641i) q^{43} +(0.894693 + 2.58159i) q^{44} +(1.39084 + 1.74651i) q^{45} +(-8.68120 - 1.59999i) q^{46} +(4.44443 + 5.29666i) q^{47} +(-2.67671 - 4.98595i) q^{48} +(-3.49423 + 6.05219i) q^{49} +(6.49057 + 2.80579i) q^{50} +(2.63304 - 7.23421i) q^{51} +(-1.23254 - 2.21311i) q^{52} +(1.39114 + 7.88956i) q^{53} +(-6.16790 + 5.09480i) q^{54} +(1.59462 - 2.60548i) q^{55} +(0.259509 + 0.157958i) q^{56} +(4.43477 + 4.28507i) q^{57} +(-2.38534 - 6.71465i) q^{58} +(4.16758 - 4.96673i) q^{59} +(-2.40624 + 5.85155i) q^{60} +(2.40037 - 0.423250i) q^{61} +(-0.512954 - 3.04657i) q^{62} +(0.0366803 - 0.100778i) q^{63} +(-4.31677 + 6.73539i) q^{64} +(-1.03652 + 2.63570i) q^{65} +(2.35646 + 1.38489i) q^{66} +(-9.25287 + 7.76408i) q^{67} +(-10.7457 + 1.72400i) q^{68} +(-7.64768 + 4.41539i) q^{69} +(-0.0477973 - 0.336281i) q^{70} +(-0.876701 + 4.97202i) q^{71} +(2.63069 + 1.02715i) q^{72} +(5.15439 + 14.1616i) q^{73} +(15.5618 + 5.80060i) q^{74} +(6.76235 - 2.07578i) q^{75} +(2.24191 - 8.42460i) q^{76} -0.146735 q^{77} +(-2.37456 - 0.885104i) q^{78} +(-2.24044 + 0.815454i) q^{79} +(8.88206 - 1.05306i) q^{80} +(-0.869568 + 4.93157i) q^{81} +(-3.49645 - 0.0270160i) q^{82} +(2.21915 + 3.84369i) q^{83} +(0.300081 - 0.0481436i) q^{84} +(9.11762 + 8.05744i) q^{85} +(7.32267 - 12.4599i) q^{86} +(-6.17344 - 3.56424i) q^{87} +(0.0895570 - 3.86292i) q^{88} +(-0.327234 - 0.119103i) q^{89} +(-0.980396 - 3.00138i) q^{90} +(0.133978 - 0.0236239i) q^{91} +(10.7136 + 6.40824i) q^{92} +(-2.36756 - 1.98662i) q^{93} +(-3.27328 - 9.21416i) q^{94} +(-8.86809 + 4.04437i) q^{95} +(1.08427 + 7.92927i) q^{96} +(-1.82076 + 2.16989i) q^{97} +(7.61981 - 6.29410i) q^{98} +(-1.34330 + 0.236861i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 696 q - 6 q^{4} - 18 q^{6} - 24 q^{9}+O(q^{10}) $ 696 * q - 6 * q^4 - 18 * q^6 - 24 * q^9	$ 696 q - 6 q^{4} - 18 q^{6} - 24 q^{9} - 15 q^{10} - 42 q^{14} - 12 q^{15} - 6 q^{16} - 42 q^{20} - 36 q^{24} - 12 q^{25} + 18 q^{26} + 18 q^{30} - 84 q^{31} + 12 q^{34} + 30 q^{36} - 48 q^{39} - 18 q^{40} - 24 q^{41} - 36 q^{44} - 6 q^{46} + 264 q^{49} + 6 q^{50} - 60 q^{54} - 42 q^{55} - 108 q^{56} - 30 q^{60} - 30 q^{64} - 6 q^{65} - 48 q^{66} - 63 q^{70} - 24 q^{71} - 126 q^{74} - 48 q^{76} - 24 q^{79} + 45 q^{80} + 12 q^{81} - 126 q^{84} - 6 q^{86} - 24 q^{89} - 66 q^{90} + 36 q^{94} + 48 q^{95} - 72 q^{96}+O(q^{100}) $ 696 * q - 6 * q^4 - 18 * q^6 - 24 * q^9 - 15 * q^10 - 42 * q^14 - 12 * q^15 - 6 * q^16 - 42 * q^20 - 36 * q^24 - 12 * q^25 + 18 * q^26 + 18 * q^30 - 84 * q^31 + 12 * q^34 + 30 * q^36 - 48 * q^39 - 18 * q^40 - 24 * q^41 - 36 * q^44 - 6 * q^46 + 264 * q^49 + 6 * q^50 - 60 * q^54 - 42 * q^55 - 108 * q^56 - 30 * q^60 - 30 * q^64 - 6 * q^65 - 48 * q^66 - 63 * q^70 - 24 * q^71 - 126 * q^74 - 48 * q^76 - 24 * q^79 + 45 * q^80 + 12 * q^81 - 126 * q^84 - 6 * q^86 - 24 * q^89 - 66 * q^90 + 36 * q^94 + 48 * q^95 - 72 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/760\mathbb{Z}\right)^\times$.

$n$	$191$	$381$	$401$	$457$
$\chi(n)$	$1$	$-1$	$e\left(\frac{2}{9}\right)$	$-1$

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 $

$2$	−1.32515	−	0.493943i	−0.937022	−	0.349270i
$2$	−1.32515	−	0.493943i	−0.937022	−	0.349270i
$3$	−1.32943	+	0.483874i	−0.767549	+	0.279365i	−0.695971	−	0.718070i	$-0.745026\pi$
$3$	−1.32943	+	0.483874i	−0.767549	+	0.279365i	−0.0715781	+	0.997435i	$0.522804\pi$
$4$	1.51204	+	1.30910i	0.756020	+	0.654548i
$5$	0.0572752	−	2.23533i	0.0256143	−	0.999672i
$5$	0.0572752	−	2.23533i	0.0256143	−	0.999672i
$6$	2.00070	+	0.0154588i	0.816784	+	0.00631104i
$7$	−0.0930200	+	0.0537051i	−0.0351583	+	0.0202986i	−0.517476	−	0.855698i	$-0.673128\pi$
$7$	−0.0930200	+	0.0537051i	−0.0351583	+	0.0202986i	0.482318	+	0.875996i	$0.339795\pi$
$8$	−1.35706	−	2.48161i	−0.479793	−	0.877382i
$9$	−0.764873	+	0.641805i	−0.254958	+	0.213935i
$10$	−1.18003	+	2.93386i	−0.373157	+	0.927768i
$11$	1.18309	+	0.683058i	0.356715	+	0.205950i	0.667639	−	0.744485i	$-0.267305\pi$
$11$	1.18309	+	0.683058i	0.356715	+	0.205950i	−0.310924	+	0.950435i	$0.600638\pi$
$12$	−2.64360	−	1.00872i	−0.763141	−	0.291192i
$13$	−1.19021	−	0.433200i	−0.330104	−	0.120148i	0.171651	−	0.985158i	$-0.445090\pi$
$13$	−1.19021	−	0.433200i	−0.330104	−	0.120148i	−0.501755	+	0.865010i	$0.667312\pi$
$14$	0.149793	−	0.0252207i	0.0400338	−	0.00674052i
$15$	1.00548	+	2.99944i	0.259613	+	0.774453i
$16$	0.572534	+	3.95881i	0.143133	+	0.989703i
$17$	−3.49777	+	4.16848i	−0.848335	+	1.01101i	0.151411	+	0.988471i	$0.451618\pi$
$17$	−3.49777	+	4.16848i	−0.848335	+	1.01101i	−0.999746	+	0.0225351i	$0.992826\pi$
$18$	1.33059	−	0.472683i	0.313622	−	0.111413i
$19$	−1.90969	−	3.91830i	−0.438113	−	0.898920i
$19$	−1.90969	−	3.91830i	−0.438113	−	0.898920i
$20$	3.01287	−	3.30494i	0.673698	−	0.739007i
$21$	0.0976774	−	0.116407i	0.0213150	−	0.0254022i
$22$	−1.23038	−	1.48953i	−0.262318	−	0.317569i
$23$	6.14709	−	1.08390i	1.28176	−	0.226008i	0.509031	−	0.860748i	$-0.330004\pi$
$23$	6.14709	−	1.08390i	1.28176	−	0.226008i	0.772726	+	0.634740i	$0.218893\pi$
$24$	3.00491	+	2.64249i	0.613375	+	0.539396i
$25$	−4.99344	−	0.256059i	−0.998688	−	0.0512117i
$26$	1.36323	+	1.16195i	0.267350	+	0.227877i
$27$	2.82843	−	4.89898i	0.544331	−	0.942809i
$28$	−0.210955	−	0.0405678i	−0.0398668	−	0.00766660i
$29$	3.23879	+	3.85984i	0.601429	+	0.716755i	0.977759	−	0.209731i	$-0.0672587\pi$
$29$	3.23879	+	3.85984i	0.601429	+	0.716755i	−0.376331	+	0.926485i	$0.622814\pi$
$30$	0.149147	−	4.47136i	0.0272303	−	0.816355i
$31$	1.09229	+	1.89189i	0.196180	+	0.339794i	0.947287	−	0.320387i	$-0.103813\pi$
$31$	1.09229	+	1.89189i	0.196180	+	0.339794i	−0.751107	+	0.660181i	$0.770480\pi$
$32$	1.19674	−	5.52882i	0.211555	−	0.977366i
$33$	−1.90335	−	0.335613i	−0.331331	−	0.0584227i
$34$	6.69407	−	3.79616i	1.14802	−	0.651037i
$35$	0.114721	+	0.211007i	0.0193914	+	0.0356667i
$36$	−1.99670	−	0.0308577i	−0.332784	−	0.00514295i
$37$	−11.7435			−1.93061			−0.965307	−	0.261117i	$-0.915909\pi$
$37$	−11.7435			−1.93061			−0.965307	+	0.261117i	$0.915909\pi$
$38$	0.595206	+	6.13561i	0.0965552	+	0.995328i
$39$	1.79192			0.286936
$40$	−5.62495	+	2.89135i	−0.889383	+	0.457162i
$41$	2.32333	−	0.845623i	0.362843	−	0.132064i	−0.154164	−	0.988045i	$-0.549268\pi$
$41$	2.32333	−	0.845623i	0.362843	−	0.132064i	0.517007	+	0.855981i	$0.327046\pi$
$42$	−0.186936	+	0.106010i	−0.0288448	+	0.0163577i
$43$	−1.77457	+	10.0641i	−0.270620	+	1.53476i	0.481920	+	0.876215i	$0.339940\pi$
$43$	−1.77457	+	10.0641i	−0.270620	+	1.53476i	−0.752540	+	0.658547i	$0.771171\pi$
$44$	0.894693	+	2.58159i	0.134880	+	0.389189i
$45$	1.39084	+	1.74651i	0.207334	+	0.260354i
$46$	−8.68120	−	1.59999i	−1.27997	−	0.235905i
$47$	4.44443	+	5.29666i	0.648286	+	0.772598i	0.985655	−	0.168775i	$-0.0539812\pi$
$47$	4.44443	+	5.29666i	0.648286	+	0.772598i	−0.337368	+	0.941373i	$0.609537\pi$
$48$	−2.67671	−	4.98595i	−0.386350	−	0.719659i
$49$	−3.49423	+	6.05219i	−0.499176	+	0.864598i
$50$	6.49057	+	2.80579i	0.917906	+	0.396799i
$51$	2.63304	−	7.23421i	0.368699	−	1.01299i
$52$	−1.23254	−	2.21311i	−0.170923	−	0.306903i
$53$	1.39114	+	7.88956i	0.191088	+	1.08371i	0.917880	+	0.396857i	$0.129899\pi$
$53$	1.39114	+	7.88956i	0.191088	+	1.08371i	−0.726792	+	0.686857i	$0.758990\pi$
$54$	−6.16790	+	5.09480i	−0.839345	+	0.693314i
$55$	1.59462	−	2.60548i	0.215019	−	0.351323i
$56$	0.259509	+	0.157958i	0.0346783	+	0.0211081i
$57$	4.43477	+	4.28507i	0.587400	+	0.567572i
$58$	−2.38534	−	6.71465i	−0.313211	−	0.881676i
$59$	4.16758	−	4.96673i	0.542572	−	0.646613i	−0.423190	−	0.906041i	$-0.639090\pi$
$59$	4.16758	−	4.96673i	0.542572	−	0.646613i	0.965762	+	0.259428i	$0.0835341\pi$
$60$	−2.40624	+	5.85155i	−0.310644	+	0.755431i
$61$	2.40037	−	0.423250i	0.307336	−	0.0541916i	−0.0178532	−	0.999841i	$-0.505683\pi$
$61$	2.40037	−	0.423250i	0.307336	−	0.0541916i	0.325189	+	0.945649i	$0.394572\pi$
$62$	−0.512954	−	3.04657i	−0.0651452	−	0.386915i
$63$	0.0366803	−	0.100778i	0.00462128	−	0.0126969i
$64$	−4.31677	+	6.73539i	−0.539597	+	0.841924i
$65$	−1.03652	+	2.63570i	−0.128564	+	0.326918i
$66$	2.35646	+	1.38489i	0.290060	+	0.170468i
$67$	−9.25287	+	7.76408i	−1.13042	+	0.948534i	−0.999083	−	0.0428044i	$-0.986371\pi$
$67$	−9.25287	+	7.76408i	−1.13042	+	0.948534i	−0.131335	+	0.991338i	$0.541926\pi$
$68$	−10.7457	+	1.72400i	−1.30311	+	0.209065i
$69$	−7.64768	+	4.41539i	−0.920673	+	0.531551i
$70$	−0.0477973	−	0.336281i	−0.00571287	−	0.0401933i
$71$	−0.876701	+	4.97202i	−0.104045	+	0.590070i	0.887552	+	0.460708i	$0.152404\pi$
$71$	−0.876701	+	4.97202i	−0.104045	+	0.590070i	−0.991597	+	0.129363i	$0.958707\pi$
$72$	2.63069	+	1.02715i	0.310030	+	0.121051i
$73$	5.15439	+	14.1616i	0.603275	+	1.65749i	0.744591	+	0.667521i	$0.232645\pi$
$73$	5.15439	+	14.1616i	0.603275	+	1.65749i	−0.141316	+	0.989965i	$0.545133\pi$
$74$	15.5618	+	5.80060i	1.80903	+	0.674307i
$75$	6.76235	−	2.07578i	0.780849	−	0.239691i
$76$	2.24191	−	8.42460i	0.257164	−	0.966368i
$77$	−0.146735			−0.0167220
$78$	−2.37456	−	0.885104i	−0.268865	−	0.100218i
$79$	−2.24044	+	0.815454i	−0.252069	+	0.0917457i	−0.464965	−	0.885329i	$-0.653933\pi$
$79$	−2.24044	+	0.815454i	−0.252069	+	0.0917457i	0.212895	+	0.977075i	$0.431711\pi$
$80$	8.88206	−	1.05306i	0.993045	−	0.117736i
$81$	−0.869568	+	4.93157i	−0.0966187	+	0.547952i
$82$	−3.49645	−	0.0270160i	−0.386118	−	0.00298342i
$83$	2.21915	+	3.84369i	0.243584	+	0.421900i	0.961732	−	0.273990i	$-0.0883436\pi$
$83$	2.21915	+	3.84369i	0.243584	+	0.421900i	−0.718149	+	0.695890i	$0.755010\pi$
$84$	0.300081	−	0.0481436i	0.0327415	−	0.00525290i
$85$	9.11762	+	8.05744i	0.988945	+	0.873953i
$86$	7.32267	−	12.4599i	0.789624	−	1.34359i
$87$	−6.17344	−	3.56424i	−0.661862	−	0.382126i
$88$	0.0895570	−	3.86292i	0.00954681	−	0.411789i
$89$	−0.327234	−	0.119103i	−0.0346867	−	0.0126249i	0.324619	−	0.945845i	$-0.394764\pi$
$89$	−0.327234	−	0.119103i	−0.0346867	−	0.0126249i	−0.359305	+	0.933220i	$0.616986\pi$
$90$	−0.980396	−	3.00138i	−0.103343	−	0.316373i
$91$	0.133978	−	0.0236239i	0.0140447	−	0.00247646i
$92$	10.7136	+	6.40824i	1.11697	+	0.668105i
$93$	−2.36756	−	1.98662i	−0.245505	−	0.206003i
$94$	−3.27328	−	9.21416i	−0.337613	−	0.950368i
$95$	−8.86809	+	4.04437i	−0.909847	+	0.414944i
$96$	1.08427	+	7.92927i	0.110663	+	0.809277i
$97$	−1.82076	+	2.16989i	−0.184870	+	0.220319i	−0.850517	−	0.525947i	$-0.823711\pi$
$97$	−1.82076	+	2.16989i	−0.184870	+	0.220319i	0.665648	+	0.746266i	$0.268155\pi$
$98$	7.61981	−	6.29410i	0.769717	−	0.635800i
$99$	−1.34330	+	0.236861i	−0.135007	+	0.0238054i
$100$	−7.21508	−	6.92406i	−0.721508	−	0.692406i
$101$	−4.90031	+	13.4635i	−0.487599	+	1.33967i	0.415248	+	0.909708i	$0.363695\pi$
$101$	−4.90031	+	13.4635i	−0.487599	+	1.33967i	−0.902848	+	0.429960i	$0.858528\pi$
$102$	−7.06245	+	8.28583i	−0.699287	+	0.820420i
$103$	13.2990	+	7.67818i	1.31039	+	0.756554i	0.982160	−	0.188045i	$-0.0602150\pi$
$103$	13.2990	+	7.67818i	1.31039	+	0.756554i	0.328229	+	0.944598i	$0.393548\pi$
$104$	0.540150	+	3.54151i	0.0529660	+	0.347273i
$105$	−0.254615	−	0.225009i	−0.0248479	−	0.0219586i
$106$	2.05352	−	11.1420i	0.199456	−	1.08221i
$107$	−3.06430	−	5.30753i	−0.296237	−	0.513098i	0.679035	−	0.734106i	$-0.262399\pi$
$107$	−3.06430	−	5.30753i	−0.296237	−	0.513098i	−0.975272	+	0.221008i	$0.929065\pi$
$108$	10.6899	−	3.70477i	1.02864	−	0.356492i
$109$	−10.8112	−	1.90631i	−1.03553	−	0.182592i	−0.370053	−	0.929011i	$-0.620660\pi$
$109$	−10.8112	−	1.90631i	−1.03553	−	0.182592i	−0.665476	+	0.746419i	$0.731772\pi$
$110$	−3.40007	+	2.66500i	−0.324184	+	0.254097i
$111$	15.6122	−	5.68236i	1.48184	−	0.539346i
$112$	−0.265866	−	0.337501i	−0.0251219	−	0.0318908i
$113$		−	14.1956i		−	1.33541i	−0.744424	−	0.667707i	$-0.767276\pi$
$113$		−	14.1956i		−	1.33541i	0.744424	−	0.667707i	$-0.232724\pi$
$114$	−3.76015	−	7.86889i	−0.352171	−	0.736989i
$115$	−2.07080	−	13.8029i	−0.193103	−	1.28713i
$116$	−0.155720	+	10.0761i	−0.0144582	+	0.935545i
$117$	1.18839	−	0.432537i	0.109866	−	0.0399881i
$118$	−7.97594	+	4.52311i	−0.734245	+	0.416386i
$119$	0.101494	−	0.575601i	0.00930393	−	0.0527652i
$120$	6.07895	−	6.56563i	0.554930	−	0.599357i
$121$	−4.56686	−	7.91004i	−0.415170	−	0.719095i
$122$	−3.38991	−	0.624776i	−0.306908	−	0.0565646i
$123$	−2.67954	+	2.24840i	−0.241606	+	0.202731i
$124$	−0.825091	+	4.29053i	−0.0740954	+	0.385301i
$125$	−0.858377	+	11.1473i	−0.0767756	+	0.997048i
$126$	−0.0983856	+	0.115428i	−0.00876489	+	0.0102832i
$127$	−0.438414	+	1.20453i	−0.0389030	+	0.106885i	−0.957623	−	0.288024i	$-0.907002\pi$
$127$	−0.438414	+	1.20453i	−0.0389030	+	0.106885i	0.918720	+	0.394909i	$0.129224\pi$
$128$	9.04727	−	6.79316i	0.799673	−	0.600436i
$129$	−2.51059	−	14.2382i	−0.221045	−	1.25361i
$130$	2.67542	−	2.98071i	0.234650	−	0.261426i
$131$	4.14824	−	4.94368i	0.362433	−	0.431931i	−0.553755	−	0.832680i	$-0.686805\pi$
$131$	4.14824	−	4.94368i	0.362433	−	0.431931i	0.916188	+	0.400749i	$0.131250\pi$
$132$	−2.43860	−	2.99913i	−0.212253	−	0.261041i
$133$	0.388072	+	0.261920i	0.0336501	+	0.0227114i
$134$	16.0965	−	5.71818i	1.39052	−	0.493975i
$135$	−10.7889	−	6.60307i	−0.928557	−	0.568302i
$136$	15.0912	+	3.02322i	1.29406	+	0.259239i
$137$	12.0243	−	2.12021i	1.02731	−	0.181142i	0.365496	−	0.930813i	$-0.380900\pi$
$137$	12.0243	−	2.12021i	1.02731	−	0.181142i	0.661810	+	0.749671i	$0.269788\pi$
$138$	12.3153	−	2.07353i	1.04835	−	0.176511i
$139$	−3.98024	+	10.9356i	−0.337599	+	0.927546i	0.648474	+	0.761237i	$0.275407\pi$
$139$	−3.98024	+	10.9356i	−0.337599	+	0.927546i	−0.986074	+	0.166310i	$0.946815\pi$
$140$	−0.102765	+	0.469232i	−0.00868524	+	0.0396573i
$141$	−8.47149	−	4.89102i	−0.713428	−	0.411898i
$142$	3.61766	−	6.15563i	0.303587	−	0.516569i
$143$	−1.11222	−	1.32549i	−0.0930086	−	0.110843i
$144$	−2.97870	−	2.66054i	−0.248225	−	0.221711i
$145$	8.81354	−	7.01871i	0.731925	−	0.582872i
$146$	0.164673	−	21.3122i	0.0136284	−	1.76381i
$147$	1.71685	−	9.73675i	0.141604	−	0.803074i
$148$	−17.7566	−	15.3733i	−1.45958	−	1.26368i
$149$	7.02621	+	19.3043i	0.575609	+	1.58147i	0.795503	+	0.605949i	$0.207207\pi$
$149$	7.02621	+	19.3043i	0.575609	+	1.58147i	−0.219894	+	0.975524i	$0.570571\pi$
$150$	−9.98644	−	0.589490i	−0.815389	−	0.0481317i
$151$	8.12060			0.660845			0.330422	−	0.943833i	$-0.392809\pi$
$151$	8.12060			0.660845			0.330422	+	0.943833i	$0.392809\pi$
$152$	−7.13213	+	10.0565i	−0.578492	+	0.815688i
$153$		−	5.43325i		−	0.439252i
$154$	0.194445	+	0.0724786i	0.0156689	+	0.00584049i
$155$	4.29158	−	2.33327i	0.344708	−	0.187412i
$156$	2.70945	+	2.34579i	0.216930	+	0.187813i
$157$	0.381147	−	2.16159i	0.0304188	−	0.172514i	−0.965814	−	0.259238i	$-0.916529\pi$
$157$	0.381147	−	2.16159i	0.0304188	−	0.172514i	0.996232	+	0.0867239i	$0.0276398\pi$
$158$	3.37171	+	0.0260521i	0.268239	+	0.00207260i
$159$	−5.66699	−	9.81551i	−0.449421	−	0.778421i
$160$	−12.2902	−	2.99177i	−0.971627	−	0.236520i
$161$	−0.513592	+	0.430955i	−0.0404767	+	0.0339640i
$162$	3.58822	−	6.10554i	0.281917	−	0.479697i
$163$	7.90282	−	13.6881i	0.618997	−	1.07213i	−0.370672	−	0.928764i	$-0.620873\pi$
$163$	7.90282	−	13.6881i	0.618997	−	1.07213i	0.989669	−	0.143370i	$-0.0457939\pi$
$164$	4.61997	+	1.76285i	0.360759	+	0.137655i
$165$	−0.859222	+	4.23541i	−0.0668903	+	0.329726i
$166$	−1.04215	−	6.18959i	−0.0808863	−	0.480406i
$167$	−20.6215	+	3.63612i	−1.59574	+	0.281371i	−0.899659	−	0.436594i	$-0.856185\pi$
$167$	−20.6215	+	3.63612i	−1.59574	+	0.281371i	−0.696078	+	0.717966i	$0.745073\pi$
$168$	−0.421432	−	0.0844253i	−0.0325142	−	0.00651356i
$169$	−8.72965	−	7.32504i	−0.671511	−	0.563465i
$170$	−8.10229	−	15.1809i	−0.621417	−	1.16432i
$171$	3.97546	+	1.77136i	0.304011	+	0.135459i
$172$	−15.8581	+	12.8943i	−1.20917	+	0.983178i
$173$	2.95740	+	2.48155i	0.224847	+	0.188669i	0.748251	−	0.663415i	$-0.230894\pi$
$173$	2.95740	+	2.48155i	0.224847	+	0.188669i	−0.523404	+	0.852085i	$0.675338\pi$
$174$	6.42020	+	7.77247i	0.486714	+	0.589230i
$175$	0.478241	−	0.244355i	0.0361516	−	0.0184715i
$176$	−2.02674	+	5.07471i	−0.152771	+	0.382520i
$177$	−3.13725	+	8.61952i	−0.235810	+	0.647883i
$178$	0.374803	+	0.319465i	0.0280927	+	0.0239449i
$179$	−20.5324	−	11.8544i	−1.53466	−	0.886038i	−0.999138	−	0.0415194i	$-0.986780\pi$
$179$	−20.5324	−	11.8544i	−1.53466	−	0.886038i	−0.535526	−	0.844519i	$-0.679887\pi$
$180$	−0.183339	+	4.46153i	−0.0136653	+	0.332543i
$181$	−6.99066	−	8.33115i	−0.519612	−	0.619249i	0.440877	−	0.897568i	$-0.354667\pi$
$181$	−6.99066	−	8.33115i	−0.519612	−	0.619249i	−0.960489	+	0.278318i	$0.910223\pi$
$182$	−0.189210	−	0.0348723i	−0.0140252	−	0.00258490i
$183$	−2.98633	+	1.72416i	−0.220756	+	0.127454i
$184$	−11.0318	−	13.7838i	−0.813274	−	1.01615i
$185$	−0.672610	+	26.2506i	−0.0494513	+	1.92998i
$186$	2.15609	+	3.80201i	0.158093	+	0.278777i
$187$	−6.98550	+	2.54251i	−0.510830	+	0.185927i
$188$	−0.213686	+	13.8270i	−0.0155847	+	1.00843i
$189$			0.607604i			0.0441967i
$190$	13.7492	−	0.979066i	0.997474	−	0.0710289i
$191$	−16.3930			−1.18615			−0.593077	−	0.805146i	$-0.702087\pi$
$191$	−16.3930			−1.18615			−0.593077	+	0.805146i	$0.702087\pi$
$192$	2.47978	−	11.0430i	0.178963	−	0.796962i
$193$	−3.35469	−	9.21692i	−0.241476	−	0.663449i	−0.999931	−	0.0117241i	$-0.996268\pi$
$193$	−3.35469	−	9.21692i	−0.241476	−	0.663449i	0.758456	−	0.651725i	$-0.225954\pi$
$194$	3.48458	−	1.97608i	0.250178	−	0.141874i
$195$	0.102632	−	4.00553i	0.00734966	−	0.286842i
$196$	−13.2063	+	4.57687i	−0.943308	+	0.326919i
$197$	−7.92720	−	13.7303i	−0.564790	−	0.978245i	−0.997069	−	0.0765050i	$-0.975624\pi$
$197$	−7.92720	−	13.7303i	−0.564790	−	0.978245i	0.432279	−	0.901740i	$-0.357709\pi$
$198$	1.89707	+	0.349640i	0.134819	+	0.0248478i
$199$	4.59114	−	3.85243i	0.325458	−	0.273091i	−0.465388	−	0.885107i	$-0.654085\pi$
$199$	4.59114	−	3.85243i	0.325458	−	0.273091i	0.790846	+	0.612015i	$0.209641\pi$
$200$	6.14096	+	12.7393i	0.434232	+	0.900801i
$201$	8.54424	−	14.7991i	0.602664	−	1.04385i
$202$	13.1438	−	15.4207i	0.924798	−	1.08499i
$203$	−0.508566	−	0.185103i	−0.0356943	−	0.0129917i
$204$	13.4515	−	7.49152i	0.941796	−	0.524511i
$205$	−1.75718	−	5.24185i	−0.122727	−	0.366107i
$206$	−13.8306	−	16.7437i	−0.963622	−	1.16659i
$207$	−4.00609	+	4.77428i	−0.278443	+	0.331835i
$208$	1.03352	−	4.95983i	0.0716620	−	0.343902i
$209$	0.417090	−	5.94013i	0.0288507	−	0.410888i
$210$	0.226261	+	0.423936i	0.0156135	+	0.0292543i
$211$	0.0617620	−	0.0736051i	0.00425187	−	0.00506719i	−0.763914	−	0.645318i	$-0.776725\pi$
$211$	0.0617620	−	0.0736051i	0.00425187	−	0.00506719i	0.768166	+	0.640251i	$0.221169\pi$
$212$	−8.22473	+	13.7505i	−0.564877	+	0.944387i
$213$	−1.24032	−	7.03419i	−0.0849851	−	0.481975i
$214$	1.43904	+	8.54686i	0.0983709	+	0.584251i
$215$	22.3950	+	4.54319i	1.52733	+	0.309843i
$216$	−15.9957	−	0.370841i	−1.08837	−	0.0252325i
$217$	−0.203209	−	0.117323i	−0.0137947	−	0.00796438i
$218$	13.3849	+	7.86629i	0.906540	+	0.532772i
$219$	−13.7048	−	16.3328i	−0.926087	−	1.10367i
$220$	5.82196	−	1.85208i	0.392516	−	0.124867i
$221$	5.96886	−	3.44612i	0.401509	−	0.231811i
$222$	−23.4952	−	0.181540i	−1.57690	−	0.0121842i
$223$	20.7440	+	3.65773i	1.38912	+	0.244940i	0.817667	−	0.575692i	$-0.195267\pi$
$223$	20.7440	+	3.65773i	1.38912	+	0.244940i	0.571457	+	0.820632i	$0.306378\pi$
$224$	0.185605	+	0.578561i	0.0124013	+	0.0386568i
$225$	3.98369	−	3.00896i	0.265579	−	0.200597i
$226$	−7.01184	+	18.8113i	−0.466421	+	1.25131i
$227$	−4.65778			−0.309148			−0.154574	−	0.987981i	$-0.549400\pi$
$227$	−4.65778			−0.309148			−0.154574	+	0.987981i	$0.549400\pi$
$228$	1.09598	+	12.2847i	0.0725832	+	0.813577i
$229$			8.93056i			0.590148i	0.955474	+	0.295074i	$0.0953443\pi$
$229$			8.93056i			0.590148i	−0.955474	+	0.295074i	$0.904656\pi$
$230$	−4.07372	+	19.3137i	−0.268613	+	1.27351i
$231$	0.195074	−	0.0710012i	0.0128349	−	0.00467154i
$232$	5.18339	−	13.2755i	0.340306	−	0.871577i
$233$	−9.99896	−	1.76309i	−0.655054	−	0.115504i	−0.163764	−	0.986500i	$-0.552363\pi$
$233$	−9.99896	−	1.76309i	−0.655054	−	0.115504i	−0.491290	+	0.870996i	$0.663475\pi$
$234$	−1.78844	−	0.0138187i	−0.116914	−	0.000903358i
$235$	12.0944	−	9.63141i	0.788950	−	0.628284i
$236$	12.8035	−	2.05413i	0.833435	−	0.133713i
$237$	2.58394	−	2.16818i	0.167845	−	0.140839i
$238$	−0.418809	+	0.712625i	−0.0271473	+	0.0461926i
$239$	8.64399	−	14.9718i	0.559133	−	0.968447i	−0.438436	−	0.898762i	$-0.644467\pi$
$239$	8.64399	−	14.9718i	0.559133	−	0.968447i	0.997569	−	0.0696846i	$-0.0221993\pi$
$240$	−11.2986	+	5.69778i	−0.729319	+	0.367790i
$241$	6.38397	+	2.32358i	0.411228	+	0.149675i	0.539346	−	0.842084i	$-0.318671\pi$
$241$	6.38397	+	2.32358i	0.411228	+	0.149675i	−0.128118	+	0.991759i	$0.540894\pi$
$242$	2.14467	+	12.7378i	0.137864	+	0.818814i
$243$	1.71668	+	9.73579i	0.110125	+	0.624551i
$244$	4.18353	+	2.50234i	0.267823	+	0.160196i
$245$	13.3285	+	8.15742i	0.851528	+	0.521158i
$246$	4.66137	−	1.65593i	0.297198	−	0.105578i
$247$	0.575518	+	5.49087i	0.0366193	+	0.349375i
$248$	3.21265	−	5.27804i	0.204003	−	0.335156i
$249$	−4.81008	−	4.03614i	−0.304826	−	0.255780i
$250$	6.64363	−	14.3479i	0.420180	−	0.907441i
$251$	24.6680	−	4.34964i	1.55703	−	0.274547i	0.672168	−	0.740398i	$-0.265363\pi$
$251$	24.6680	−	4.34964i	1.55703	−	0.274547i	0.884863	+	0.465852i	$0.154252\pi$
$252$	0.187391	−	0.104363i	0.0118045	−	0.00657424i
$253$	8.01293	+	2.91647i	0.503769	+	0.183357i
$254$	1.17593	−	1.37963i	0.0737847	−	0.0865659i
$255$	−16.0201	−	6.30006i	−1.00322	−	0.394525i
$256$	−15.3444	+	4.53311i	−0.959026	+	0.283319i
$257$	−8.75525	−	10.4341i	−0.546138	−	0.650862i	0.420414	−	0.907332i	$-0.361885\pi$
$257$	−8.75525	−	10.4341i	−0.546138	−	0.650862i	−0.966552	+	0.256471i	$0.917440\pi$
$258$	−3.70598	+	20.1079i	−0.230724	+	1.25186i
$259$	1.09238	−	0.630684i	0.0678770	−	0.0391888i
$260$	−5.01764	+	2.62838i	−0.311181	+	0.163005i
$261$	−4.95453	−	0.873617i	−0.306678	−	0.0540756i
$262$	−7.93893	+	4.50212i	−0.490469	+	0.278142i
$263$	3.47350	+	9.54336i	0.214185	+	0.588469i	0.999532	−	0.0305872i	$-0.00973771\pi$
$263$	3.47350	+	9.54336i	0.214185	+	0.588469i	−0.785347	+	0.619056i	$0.787515\pi$
$264$	1.75011	+	5.17883i	0.107712	+	0.318735i
$265$	17.7155	−	2.65779i	1.08825	−	0.163267i
$266$	−0.384880	−	0.538769i	−0.0235985	−	0.0330340i
$267$	0.492667			0.0301507
$268$	−24.1547	−	0.373294i	−1.47548	−	0.0228025i
$269$	3.08274	+	8.46977i	0.187958	+	0.516411i	0.997501	−	0.0706498i	$-0.0225073\pi$
$269$	3.08274	+	8.46977i	0.187958	+	0.516411i	−0.809543	+	0.587061i	$0.800285\pi$
$270$	11.0353	+	14.0791i	0.671587	+	0.856829i
$271$	−0.307353	+	1.74309i	−0.0186704	+	0.105885i	−0.992719	−	0.120455i	$-0.961565\pi$
$271$	−0.307353	+	1.74309i	−0.0186704	+	0.105885i	0.974048	+	0.226340i	$0.0726759\pi$
$272$	−18.5048	−	11.4604i	−1.12202	−	0.694891i
$273$	−0.166684	+	0.0962350i	−0.0100882	+	0.00582441i
$274$	−16.9813	−	3.12973i	−1.02588	−	0.189074i
$275$	−5.73279	−	3.71375i	−0.345700	−	0.223947i
$276$	−17.3438	−	3.33530i	−1.04397	−	0.200762i
$277$	−8.10426	+	14.0370i	−0.486938	+	0.843401i	−0.999887	−	0.0150180i	$-0.995219\pi$
$277$	−8.10426	+	14.0370i	−0.486938	+	0.843401i	0.512950	+	0.858419i	$0.328553\pi$
$278$	10.6760	−	12.5253i	0.640303	−	0.751218i
$279$	−2.04969	−	0.746025i	−0.122712	−	0.0446634i
$280$	0.367953	−	0.571042i	0.0219894	−	0.0341263i
$281$	3.95593	+	22.4352i	0.235991	+	1.33837i	0.840516	+	0.541786i	$0.182252\pi$
$281$	3.95593	+	22.4352i	0.235991	+	1.33837i	−0.604525	+	0.796586i	$0.706637\pi$
$282$	8.81011	+	10.6658i	0.524634	+	0.635137i
$283$	−1.85585	−	1.55725i	−0.110319	−	0.0925686i	0.585960	−	0.810340i	$-0.300718\pi$
$283$	−1.85585	−	1.55725i	−0.110319	−	0.0925686i	−0.696279	+	0.717772i	$0.745162\pi$
$284$	−7.83446	+	6.37021i	−0.464890	+	0.378002i
$285$	9.83257	−	9.66777i	0.582431	−	0.572669i
$286$	0.819141	+	2.30585i	0.0484368	+	0.136348i
$287$	−0.170702	+	0.203435i	−0.0100762	+	0.0120084i
$288$	2.63307	+	4.99691i	0.155155	+	0.294446i
$289$	−2.18982	−	12.4191i	−0.128813	−	0.730535i
$290$	−15.1461	+	4.94745i	−0.889410	+	0.290524i
$291$	1.37062	−	3.76575i	0.0803471	−	0.220752i
$292$	−10.7452	+	28.1604i	−0.628816	+	1.64797i
$293$	11.8370	−	20.5022i	0.691522	−	1.19775i	−0.279817	−	0.960053i	$-0.590274\pi$
$293$	11.8370	−	20.5022i	0.691522	−	1.19775i	0.971339	−	0.237698i	$-0.0763930\pi$
$294$	−7.08448	+	12.0546i	−0.413176	+	0.703040i
$295$	−10.8636	−	9.60040i	−0.632503	−	0.558957i
$296$	15.9366	+	29.1427i	0.926296	+	1.69389i
$297$	6.69257	−	3.86396i	0.388342	−	0.224209i
$298$	0.224473	−	29.0517i	0.0130034	−	1.68292i
$299$	−7.78585	−	1.37286i	−0.450268	−	0.0793943i
$300$	12.9423	+	5.71389i	0.747227	+	0.329892i
$301$	−0.375423	−	1.03147i	−0.0216390	−	0.0594528i
$302$	−10.7610	−	4.01111i	−0.619226	−	0.230814i
$303$		−	20.2700i		−	1.16448i
$304$	14.4185	−	9.80347i	0.826956	−	0.562267i
$305$	−0.808623	−	5.38987i	−0.0463016	−	0.308623i
$306$	−2.68372	+	7.19987i	−0.153418	+	0.411589i
$307$	8.49288	−	3.09116i	0.484714	−	0.176422i	−0.0880920	−	0.996112i	$-0.528077\pi$
$307$	8.49288	−	3.09116i	0.484714	−	0.176422i	0.572806	+	0.819691i	$0.305855\pi$
$308$	−0.221869	−	0.192090i	−0.0126422	−	0.0109453i
$309$	−21.3954	−	3.77259i	−1.21714	−	0.214615i
$310$	−6.83948	+	0.972130i	−0.388456	+	0.0552133i
$311$	6.89970	+	11.9506i	0.391246	+	0.677658i	0.992614	−	0.121314i	$-0.0387109\pi$
$311$	6.89970	+	11.9506i	0.391246	+	0.677658i	−0.601368	+	0.798972i	$0.705378\pi$
$312$	−2.43174	−	4.44683i	−0.137670	−	0.251752i
$313$	−9.93575	−	11.8410i	−0.561602	−	0.669291i	0.408283	−	0.912856i	$-0.366128\pi$
$313$	−9.93575	−	11.8410i	−0.561602	−	0.669291i	−0.969885	+	0.243564i	$0.921683\pi$
$314$	−1.57278	+	2.67617i	−0.0887571	+	0.151025i
$315$	−0.223172	−	0.0877648i	−0.0125743	−	0.00494499i
$316$	−4.45515	−	1.69995i	−0.250622	−	0.0956299i
$317$	8.03015	+	2.92274i	0.451018	+	0.164157i	0.557535	−	0.830154i	$-0.311747\pi$
$317$	8.03015	+	2.92274i	0.451018	+	0.164157i	−0.106516	+	0.994311i	$0.533970\pi$
$318$	2.66130	+	15.8062i	0.149238	+	0.886367i
$319$	1.19529	+	6.77882i	0.0669234	+	0.379541i
$320$	14.8086	+	10.0352i	0.827826	+	0.560985i
$321$	6.64197	+	5.57327i	0.370718	+	0.311070i
$322$	0.893452	−	0.317394i	0.0497902	−	0.0176877i
$323$	23.0130	+	5.74482i	1.28048	+	0.319650i
$324$	−7.77072	+	6.31838i	−0.431706	+	0.351021i
$325$	5.83230	+	2.46792i	0.323518	+	0.136896i
$326$	−17.2336	+	14.2352i	−0.954478	+	0.788416i
$327$	15.2953	−	2.69697i	0.845829	−	0.149143i
$328$	−5.25140	−	4.61804i	−0.289960	−	0.254988i
$329$	−0.697879	−	0.254007i	−0.0384753	−	0.0140039i
$330$	3.23065	−	5.18815i	0.177841	−	0.285598i
$331$	12.7309	+	7.35018i	0.699753	+	0.404002i	0.807255	−	0.590202i	$-0.200952\pi$
$331$	12.7309	+	7.35018i	0.699753	+	0.404002i	−0.107503	+	0.994205i	$0.534285\pi$
$332$	−1.67631	+	8.71690i	−0.0919992	+	0.478402i
$333$	8.98227	−	7.53702i	0.492225	−	0.413026i
$334$	29.1226	+	5.36743i	1.59352	+	0.293693i
$335$	16.8254	+	21.1280i	0.919268	+	1.15434i
$336$	0.516759	+	0.320039i	0.0281915	+	0.0174596i
$337$	−9.84873	−	1.73660i	−0.536494	−	0.0945984i	−0.101165	−	0.994870i	$-0.532257\pi$
$337$	−9.84873	−	1.73660i	−0.536494	−	0.0945984i	−0.435329	+	0.900271i	$0.643368\pi$
$338$	7.94993	+	14.0187i	0.432419	+	0.762518i
$339$	6.86891	+	18.8722i	0.373068	+	1.02500i
$340$	3.23824	+	24.1190i	0.175618	+	1.30804i
$341$			2.98438i			0.161613i
$342$	−4.39312	−	4.31096i	−0.237553	−	0.233110i
$343$		−	1.50250i		−	0.0811276i
$344$	27.3834	−	9.25381i	1.47641	−	0.498932i
$345$	9.43185	+	17.3480i	0.507794	+	0.933986i
$346$	−2.69325	−	4.74922i	−0.144790	−	0.255319i
$347$	0.309442	−	1.75493i	0.0166117	−	0.0942098i	−0.975375	−	0.220554i	$-0.929213\pi$
$347$	0.309442	−	1.75493i	0.0166117	−	0.0942098i	0.991986	+	0.126345i	$0.0403245\pi$
$348$	−4.66856	−	13.4709i	−0.250261	−	0.722116i
$349$	−0.820897	+	0.473945i	−0.0439416	+	0.0253697i	−0.521810	−	0.853062i	$-0.674743\pi$
$349$	−0.820897	+	0.473945i	−0.0439416	+	0.0253697i	0.477868	+	0.878432i	$0.341410\pi$
$350$	−0.754438	+	0.0875824i	−0.0403264	+	0.00468148i
$351$	−5.48865	+	4.60552i	−0.292962	+	0.245825i
$352$	5.19235	−	5.72365i	0.276753	−	0.305072i
$353$	−29.7321	−	17.1659i	−1.58248	−	0.913646i	−0.994496	−	0.104775i	$-0.966588\pi$
$353$	−29.7321	−	17.1659i	−1.58248	−	0.913646i	−0.587986	−	0.808871i	$-0.700079\pi$
$354$	8.41487	−	9.87253i	0.447245	−	0.524719i
$355$	11.0639	+	2.24449i	0.587212	+	0.119125i
$356$	−0.338873	−	0.608470i	−0.0179602	−	0.0322488i
$357$	0.143589	+	0.814333i	0.00759953	+	0.0430991i
$358$	21.3531	+	25.8507i	1.12855	+	1.36625i
$359$	−2.71412	−	2.27741i	−0.143246	−	0.120197i	0.568349	−	0.822788i	$-0.307582\pi$
$359$	−2.71412	−	2.27741i	−0.143246	−	0.120197i	−0.711595	+	0.702590i	$0.752027\pi$
$360$	2.44669	−	5.82164i	0.128952	−	0.306827i
$361$	−11.7062	+	14.9655i	−0.616114	+	0.787657i
$362$	5.14856	+	14.4930i	0.270602	+	0.761735i
$363$	9.89881	+	8.30609i	0.519553	+	0.435957i
$364$	0.233506	+	0.139670i	0.0122391	+	0.00732069i
$365$	31.9510	−	10.7107i	1.67239	−	0.560622i
$366$	4.80897	−	0.809691i	0.251369	−	0.0423232i
$367$	0.257252	−	0.706795i	0.0134285	−	0.0368944i	−0.932797	−	0.360401i	$-0.882640\pi$
$367$	0.257252	−	0.706795i	0.0134285	−	0.0368944i	0.946226	+	0.323507i	$0.104862\pi$
$368$	7.81037	+	23.7146i	0.407144	+	1.23621i
$369$	−1.23433	+	2.13792i	−0.0642565	+	0.111296i
$370$	13.8576	−	34.4537i	0.720422	−	1.79116i
$371$	−0.553114	−	0.659175i	−0.0287162	−	0.0342227i
$372$	−0.979172	−	6.10321i	−0.0507677	−	0.316437i
$373$	1.11993	+	1.93978i	0.0579878	+	0.100438i	0.893562	−	0.448940i	$-0.148198\pi$
$373$	1.11993	+	1.93978i	0.0579878	+	0.100438i	−0.835574	+	0.549378i	$0.814865\pi$
$374$	10.5127	+	0.0812283i	0.543598	+	0.00420021i
$375$	−4.25276	−	15.2350i	−0.219611	−	0.786732i
$376$	7.11289	−	18.2172i	0.366819	−	0.939482i
$377$	−2.18275	−	5.99705i	−0.112417	−	0.308864i
$378$	0.300122	−	0.805166i	0.0154366	−	0.0414133i
$379$			21.2100i			1.08948i	0.838604	+	0.544742i	$0.183372\pi$
$379$			21.2100i			1.08948i	−0.838604	+	0.544742i	$0.816628\pi$
$380$	−18.7034	−	5.49393i	−0.959464	−	0.281833i
$381$		−	1.81348i		−	0.0929076i
$382$	21.7231	+	8.09719i	1.11145	+	0.414288i
$383$	5.45680	+	14.9924i	0.278829	+	0.766077i	0.997496	+	0.0707226i	$0.0225305\pi$
$383$	5.45680	+	14.9924i	0.278829	+	0.766077i	−0.718667	+	0.695355i	$0.755247\pi$
$384$	−8.74071	+	13.4088i	−0.446048	+	0.684265i
$385$	−0.00840427	+	0.328001i	−0.000428321	+	0.0167165i
$386$	−0.107176	+	13.8708i	−0.00545510	+	0.706006i
$387$	−5.10187	−	8.83670i	−0.259343	−	0.449195i
$388$	−5.59366	+	0.897421i	−0.283975	+	0.0455596i
$389$	−8.09277	−	9.64459i	−0.410320	−	0.489000i	0.520818	−	0.853668i	$-0.325627\pi$
$389$	−8.09277	−	9.64459i	−0.410320	−	0.489000i	−0.931138	+	0.364668i	$0.881183\pi$
$390$	−2.11451	+	5.25723i	−0.107072	+	0.266210i
$391$	−16.9829	+	29.4153i	−0.858863	+	1.48759i
$392$	19.7610	+	0.458136i	0.998084	+	0.0231393i
$393$	−3.12269	+	8.57952i	−0.157519	+	0.432780i
$394$	3.72273	+	22.1103i	0.187549	+	1.11390i
$395$	1.69449	+	5.05484i	0.0852591	+	0.254337i
$396$	−2.34120	−	1.40037i	−0.117650	−	0.0703713i
$397$	10.4556	+	8.77329i	0.524752	+	0.440319i	0.866285	−	0.499551i	$-0.166502\pi$
$397$	10.4556	+	8.77329i	0.524752	+	0.440319i	−0.341533	+	0.939870i	$0.610946\pi$
$398$	−7.98683	+	2.83728i	−0.400344	+	0.142220i
$399$	−0.642653	−	0.160428i	−0.0321729	−	0.00803142i
$400$	−1.84522	−	19.9147i	−0.0922612	−	0.995735i
$401$	−22.2181	−	18.6432i	−1.10952	−	0.930999i	−0.111493	−	0.993765i	$-0.535563\pi$
$401$	−22.2181	−	18.6432i	−1.10952	−	0.930999i	−0.998028	+	0.0627665i	$0.980008\pi$
$402$	−18.6323	+	15.3906i	−0.929294	+	0.767613i
$403$	−0.480477	−	2.72492i	−0.0239343	−	0.135738i
$404$	−25.0345	+	13.9424i	−1.24551	+	0.693659i
$405$	10.9739	+	2.22623i	0.545297	+	0.110622i
$406$	0.582495	+	0.496491i	0.0289088	+	0.0246405i
$407$	−13.8936	−	8.02147i	−0.688679	−	0.397609i
$408$	−21.5257	+	3.28309i	−1.06568	+	0.162537i
$409$	−2.21302	+	1.85695i	−0.109427	+	0.0918202i	−0.695859	−	0.718178i	$-0.744976\pi$
$409$	−2.21302	+	1.85695i	−0.109427	+	0.0918202i	0.586432	+	0.809998i	$0.300532\pi$
$410$	−0.260650	+	7.81418i	−0.0128726	+	0.385915i
$411$	−14.9596	+	8.63693i	−0.737903	+	0.426029i
$412$	10.0571	+	29.0194i	0.495480	+	1.42968i
$413$	−0.120929	+	0.685825i	−0.00595055	+	0.0337473i
$414$	7.66689	−	4.34785i	0.376807	−	0.213685i
$415$	8.71903	−	4.74040i	0.428000	−	0.232697i
$416$	−3.81945	+	6.06201i	−0.187264	+	0.297215i
$417$		−	16.4641i		−	0.806251i
$418$	−3.48679	+	7.66554i	−0.170545	+	0.374934i
$419$		−	15.7194i		−	0.767943i	−0.923345	−	0.383972i	$-0.874556\pi$
$419$		−	15.7194i		−	0.767943i	0.923345	−	0.383972i	$-0.125444\pi$
$420$	−0.0904298	−	0.673538i	−0.00441252	−	0.0328653i
$421$	4.04863	+	11.1235i	0.197318	+	0.542127i	0.998407	−	0.0564183i	$-0.0179680\pi$
$421$	4.04863	+	11.1235i	0.197318	+	0.542127i	−0.801089	+	0.598545i	$0.795746\pi$
$422$	−0.118201	+	0.0670309i	−0.00575392	+	0.00326301i
$423$	−6.79885	−	1.19882i	−0.330571	−	0.0582886i
$424$	17.6909	−	14.1589i	0.859148	−	0.687616i
$425$	18.5333	−	19.9194i	0.898997	−	0.966235i
$426$	−1.83088	+	9.93399i	−0.0887065	+	0.481304i
$427$	−0.200552	+	0.168283i	−0.00970538	+	0.00814378i
$428$	2.31472	−	12.0367i	0.111886	−	0.581814i
$429$	2.12000	+	1.22398i	0.102354	+	0.0590944i
$430$	−27.4327	−	17.0823i	−1.32292	−	0.823780i
$431$	−24.4823	−	8.91084i	−1.17927	−	0.429220i	−0.323327	−	0.946287i	$-0.604801\pi$
$431$	−24.4823	−	8.91084i	−1.17927	−	0.429220i	−0.855945	+	0.517067i	$0.827024\pi$
$432$	21.0135	+	8.39238i	1.01101	+	0.403779i
$433$	−19.4800	+	3.43485i	−0.936149	+	0.165068i	−0.620855	−	0.783926i	$-0.713214\pi$
$433$	−19.4800	+	3.43485i	−0.936149	+	0.165068i	−0.315294	+	0.948994i	$0.602103\pi$
$434$	0.211331	+	0.255844i	0.0101442	+	0.0122809i
$435$	−8.32085	+	13.5956i	−0.398954	+	0.651857i
$436$	−13.8515	−	17.0354i	−0.663366	−	0.815847i
$437$	−15.9861	−	22.0162i	−0.764718	−	1.05318i
$438$	10.0935	+	28.4128i	0.482285	+	1.35762i
$439$	−25.9021	−	21.7344i	−1.23624	−	1.03733i	−0.997809	−	0.0661677i	$-0.978923\pi$
$439$	−25.9021	−	21.7344i	−1.23624	−	1.03733i	−0.238430	−	0.971160i	$-0.576633\pi$
$440$	−8.62979	−	0.421440i	−0.411409	−	0.0200913i
$441$	−1.21168	−	6.87177i	−0.0576990	−	0.327227i
$442$	−9.61182	+	1.61835i	−0.457188	+	0.0769771i
$443$	−21.0651	−	7.66708i	−1.00083	−	0.364274i	−0.210928	−	0.977502i	$-0.567649\pi$
$443$	−21.0651	−	7.66708i	−1.00083	−	0.364274i	−0.789906	+	0.613228i	$0.789871\pi$
$444$	31.0450	+	11.8459i	1.47333	+	0.562180i
$445$	−0.284978	+	0.724656i	−0.0135093	+	0.0343520i
$446$	−25.6822	−	15.0934i	−1.21609	−	0.714694i
$447$	−18.6818	−	22.2640i	−0.883617	−	1.05305i
$448$	0.0398214	−	0.858359i	0.00188138	−	0.0405536i
$449$	3.13993	+	5.43851i	0.148182	+	0.256659i	0.930556	−	0.366150i	$-0.119324\pi$
$449$	3.13993	+	5.43851i	0.148182	+	0.256659i	−0.782373	+	0.622810i	$0.785991\pi$
$450$	−6.76524	+	2.01961i	−0.318916	+	0.0952052i
$451$	3.32632	+	0.586520i	0.156630	+	0.0276181i
$452$	18.5835	−	21.4644i	0.874093	−	1.00960i
$453$	−10.7958	+	3.92935i	−0.507231	+	0.184617i
$454$	6.17226	+	2.30068i	0.289678	+	0.107976i
$455$	−0.0451338	−	0.300839i	−0.00211591	−	0.0141035i
$456$	4.61562	−	16.8205i	0.216146	−	0.787691i
$457$			27.1881i			1.27181i	0.771769	+	0.635903i	$0.219372\pi$
$457$			27.1881i			1.27181i	−0.771769	+	0.635903i	$0.780628\pi$
$458$	4.41119	−	11.8343i	0.206121	−	0.552981i
$459$	10.5281	+	28.9258i	0.491410	+	1.35014i
$460$	14.9382	−	23.5814i	0.696496	−	1.09949i
$461$	18.4862	+	3.25962i	0.860988	+	0.151815i	0.586672	−	0.809824i	$-0.300438\pi$
$461$	18.4862	+	3.25962i	0.860988	+	0.151815i	0.274316	+	0.961640i	$0.411549\pi$
$462$	−0.293573	−	0.00226835i	−0.0136582	−	0.000105533i
$463$	27.5061	−	15.8807i	1.27832	−	0.738038i	0.301780	−	0.953378i	$-0.402419\pi$
$463$	27.5061	−	15.8807i	1.27832	−	0.738038i	0.976539	+	0.215340i	$0.0690859\pi$
$464$	−13.4261	+	15.0317i	−0.623290	+	0.697828i
$465$	−4.57636	+	5.17851i	−0.212224	+	0.240147i
$466$	12.3793	+	7.27527i	0.573458	+	0.337020i
$467$	9.26189	−	16.0421i	0.428589	−	0.742338i	−0.568159	−	0.822919i	$-0.692344\pi$
$467$	9.26189	−	16.0421i	0.428589	−	0.742338i	0.996748	+	0.0805809i	$0.0256775\pi$
$468$	2.36312	+	0.901699i	0.109235	+	0.0416810i
$469$	0.443731	−	1.21914i	0.0204896	−	0.0562947i
$470$	−20.7842	+	6.78913i	−0.958704	+	0.313159i
$471$	0.539229	+	3.05812i	0.0248464	+	0.140911i
$472$	−17.9811	−	3.60215i	−0.827649	−	0.165803i
$473$	−8.97385	+	10.6946i	−0.412618	+	0.491739i
$474$	−4.49507	+	1.59685i	−0.206465	+	0.0733456i
$475$	8.53260	+	20.0548i	0.391503	+	0.920177i
$476$	0.906980	−	0.737466i	0.0415714	−	0.0338017i
$477$	−6.12761	−	5.14167i	−0.280564	−	0.235421i
$478$	−18.8498	+	15.5703i	−0.862170	+	0.712167i
$479$	1.33611	+	7.57744i	0.0610483	+	0.346222i	0.999998	+	0.00216679i	$0.000689711\pi$
$479$	1.33611	+	7.57744i	0.0610483	+	0.346222i	−0.938949	+	0.344055i	$0.888199\pi$
$480$	17.7867	−	1.96956i	0.811846	−	0.0898977i
$481$	13.9772	+	5.08727i	0.637303	+	0.231959i
$482$	−7.31200	−	6.23241i	−0.333053	−	0.283878i
$483$	0.474258	−	0.821439i	0.0215795	−	0.0373768i
$484$	3.44972	−	17.9388i	0.156806	−	0.815399i
$485$	4.74615	+	4.19428i	0.215512	+	0.190452i
$486$	2.53406	−	13.7493i	0.114947	−	0.623681i
$487$	21.5794	−	12.4589i	0.977858	−	0.564567i	0.0762354	−	0.997090i	$-0.475710\pi$
$487$	21.5794	−	12.4589i	0.977858	−	0.564567i	0.901623	+	0.432523i	$0.142377\pi$
$488$	−4.30779	−	5.38240i	−0.195004	−	0.243650i
$489$	−3.88296	+	22.0214i	−0.175594	+	0.995841i
$490$	−13.6330	−	17.3933i	−0.615876	−	0.785750i
$491$	8.90846	+	24.4758i	0.402033	+	1.10458i	0.961279	+	0.275576i	$0.0888685\pi$
$491$	8.90846	+	24.4758i	0.402033	+	1.10458i	−0.559246	+	0.829002i	$0.688909\pi$
$492$	−6.99494	−	0.108102i	−0.315356	−	0.00487361i
$493$	−27.4183			−1.23486
$494$	1.94953	−	7.56049i	0.0877134	−	0.340162i
$495$	0.452525	+	3.01630i	0.0203395	+	0.135573i
$496$	−6.86429	+	5.40733i	−0.308216	+	0.242796i
$497$	−0.185472	−	0.509581i	−0.00831957	−	0.0228578i
$498$	4.38045	+	7.72439i	0.196293	+	0.346138i
$499$	−35.2154	−	6.20942i	−1.57646	−	0.277972i	−0.684130	−	0.729360i	$-0.739818\pi$
$499$	−35.2154	−	6.20942i	−1.57646	−	0.277972i	−0.892328	+	0.451389i	$0.850929\pi$
$500$	−15.8908	+	15.7315i	−0.710660	+	0.703536i
$501$	25.6555	−	14.8122i	1.14620	−	0.661760i
$502$	−34.8373	−	6.42068i	−1.55486	−	0.286569i
$503$	−8.54944	−	10.1888i	−0.381201	−	0.454297i	0.540992	−	0.841028i	$-0.318049\pi$
$503$	−8.54944	−	10.1888i	−0.381201	−	0.454297i	−0.922193	+	0.386730i	$0.873604\pi$
$504$	−0.299870	+	0.0457361i	−0.0133573	+	0.00203725i
$505$	29.8148	+	11.7250i	1.32674	+	0.521754i
$506$	−9.17776	−	7.82269i	−0.408001	−	0.347761i
$507$	15.1499	+	5.51411i	0.672830	+	0.244890i
$508$	−2.23975	+	1.24738i	−0.0993728	+	0.0553434i
$509$	−22.2824	+	3.92898i	−0.987649	+	0.174149i	−0.644063	−	0.764972i	$-0.722753\pi$
$509$	−22.2824	+	3.92898i	−0.987649	+	0.174149i	−0.343586	+	0.939121i	$0.611642\pi$
$510$	18.1171	+	16.2615i	0.802239	+	0.720072i
$511$	−1.24001	−	1.04049i	−0.0548548	−	0.0460286i
$512$	22.5727	+	1.57222i	0.997583	+	0.0694828i
$513$	−24.5971	−	1.72710i	−1.08599	−	0.0762533i
$514$	6.44816	+	18.1513i	0.284416	+	0.800621i
$515$	17.9250	−	29.2879i	0.789870	−	1.29058i
$516$	14.8431	−	24.8154i	0.653432	−	1.09244i
$517$	1.64023	+	9.30223i	0.0721374	+	0.409112i
$518$	−1.75909	+	0.296179i	−0.0772898	+	0.0130133i
$519$	−5.13243	−	1.86805i	−0.225289	−	0.0819983i
$520$	7.94739	−	1.00457i	0.348516	−	0.0440535i
$521$	−14.8808	+	25.7744i	−0.651942	+	1.12920i	0.330709	+	0.943733i	$0.392712\pi$
$521$	−14.8808	+	25.7744i	−0.651942	+	1.12920i	−0.982651	+	0.185464i	$0.940621\pi$
$522$	6.13398	+	3.60493i	0.268477	+	0.157783i
$523$	−32.2812	+	27.0871i	−1.41156	+	1.18444i	−0.455872	+	0.890045i	$0.650673\pi$
$523$	−32.2812	+	27.0871i	−1.41156	+	1.18444i	−0.955685	+	0.294391i	$0.904883\pi$
$524$	12.7441	−	2.04460i	0.556727	−	0.0893187i
$525$	−0.517553	+	0.556262i	−0.0225879	+	0.0242773i
$526$	0.110971	−	14.3621i	0.00483858	−	0.626216i
$527$	−11.7069	−	2.06424i	−0.509961	−	0.0899198i
$528$	0.238893	−	7.72718i	0.0103965	−	0.336282i
$529$	14.9990	−	5.45918i	0.652129	−	0.237356i
$530$	−24.7885	−	5.22847i	−1.07674	−	0.227110i
$531$			6.47369i			0.280934i
$532$	0.243902	+	0.904058i	0.0105745	+	0.0391959i
$533$	−3.13157			−0.135643
$534$	−0.652857	−	0.243349i	−0.0282519	−	0.0105308i
$535$	−12.0396	+	6.54575i	−0.520518	+	0.282998i
$536$	31.8241	+	12.4257i	1.37459	+	0.536708i
$537$	33.0325	+	5.82452i	1.42546	+	0.251347i
$538$	0.0984876	−	12.7464i	0.00424610	−	0.549536i
$539$	−8.26798	+	4.77352i	−0.356127	+	0.205610i
$540$	−7.66914	−	24.1078i	−0.330027	−	1.03743i
$541$	−26.4011	−	31.4636i	−1.13507	−	1.35273i	−0.927198	−	0.374572i	$-0.877790\pi$
$541$	−26.4011	−	31.4636i	−1.13507	−	1.35273i	−0.207876	−	0.978155i	$-0.566655\pi$
$542$	1.26827	−	2.15804i	0.0544771	−	0.0926956i
$543$	13.3249	+	7.69311i	0.571824	+	0.330143i
$544$	18.8609	+	24.3271i	0.808654	+	1.04302i
$545$	−4.88047	+	24.0576i	−0.209056	+	1.03051i
$546$	0.268416	−	0.0451934i	0.0114871	−	0.00193410i
$547$	3.93423	+	22.3121i	0.168215	+	0.953996i	0.945687	+	0.325079i	$0.105391\pi$
$547$	3.93423	+	22.3121i	0.168215	+	0.953996i	−0.777472	+	0.628918i	$0.783498\pi$
$548$	20.9568	+	12.5351i	0.895230	+	0.535474i
$549$	−1.56433	+	1.86430i	−0.0667642	+	0.0795664i
$550$	5.76242	+	7.75294i	0.245710	+	0.330586i
$551$	8.93894	−	20.0617i	0.380812	−	0.854656i
$552$	21.3356	+	12.9866i	0.908105	+	0.552747i
$553$	0.164612	−	0.196177i	0.00700000	−	0.00834228i
$554$	17.6728	−	14.5981i	0.750846	−	0.620212i
$555$	−11.8078	−	35.2239i	−0.501213	−	1.49517i
$556$	−20.3340	+	11.3246i	−0.862356	+	0.480269i
$557$	36.8818	+	13.4239i	1.56273	+	0.568788i	0.971361	−	0.237610i	$-0.0763640\pi$
$557$	36.8818	+	13.4239i	1.56273	+	0.568788i	0.591373	+	0.806398i	$0.298586\pi$
$558$	2.34765	+	2.00102i	0.0993838	+	0.0847101i
$559$	6.47188	−	11.2096i	0.273731	−	0.474117i
$560$	−0.769655	+	0.574968i	−0.0325238	+	0.0242968i
$561$	8.05650	−	6.76021i	0.340146	−	0.285416i
$562$	5.83951	−	31.6840i	0.246325	−	1.33651i
$563$	−8.95751	−	15.5149i	−0.377514	−	0.653874i	0.613186	−	0.789939i	$-0.289888\pi$
$563$	−8.95751	−	15.5149i	−0.377514	−	0.653874i	−0.990700	+	0.136065i	$0.956554\pi$
$564$	−6.40643	−	18.4854i	−0.269759	−	0.778377i
$565$	−31.7320	−	0.813059i	−1.33498	−	0.0342056i
$566$	1.69009	+	2.98027i	0.0710398	+	0.125270i
$567$	−0.183963	−	0.505434i	−0.00772572	−	0.0212263i
$568$	13.5284	−	4.57170i	0.567637	−	0.191824i
$569$	27.6310			1.15835			0.579176	−	0.815203i	$-0.303375\pi$
$569$	27.6310			1.15835			0.579176	+	0.815203i	$0.303375\pi$
$570$	−17.8050	+	7.95451i	−0.745767	+	0.333178i
$571$			33.6533i			1.40835i	0.710028	+	0.704173i	$0.248682\pi$
$571$			33.6533i			1.40835i	−0.710028	+	0.704173i	$0.751318\pi$
$572$	0.0534751	−	3.46021i	0.00223591	−	0.144678i
$573$	21.7934	−	7.93214i	0.910431	−	0.331370i
$574$	0.326690	−	0.185264i	0.0136358	−	0.00773277i
$575$	−30.9727	+	3.83836i	−1.29165	+	0.160071i
$576$	−1.02102	−	7.92224i	−0.0425425	−	0.330094i
$577$	23.2544	−	13.4259i	0.968091	−	0.558928i	0.0694376	−	0.997586i	$-0.477880\pi$
$577$	23.2544	−	13.4259i	0.968091	−	0.558928i	0.898654	+	0.438658i	$0.144546\pi$
$578$	−3.23248	+	17.5388i	−0.134454	+	0.729518i
$579$	8.91967	+	10.6300i	0.370689	+	0.441770i
$580$	22.5146	+	0.925198i	0.934868	+	0.0384168i
$581$	−0.412851	−	0.238360i	−0.0171280	−	0.00988883i
$582$	−3.67634	+	4.31317i	−0.152389	+	0.178787i
$583$	−3.74318	+	10.2843i	−0.155027	+	0.425932i
$584$	28.1487	−	32.0093i	1.16480	−	1.32455i
$585$	−0.898801	−	2.68122i	−0.0371608	−	0.110855i
$586$	−25.8127	+	21.3217i	−1.06631	+	0.880792i
$587$	−11.8157	−	9.91453i	−0.487685	−	0.409217i	0.365511	−	0.930807i	$-0.380894\pi$
$587$	−11.8157	−	9.91453i	−0.487685	−	0.409217i	−0.853196	+	0.521591i	$0.825339\pi$
$588$	15.3423	−	12.4748i	0.632706	−	0.514454i
$589$	5.32709	−	7.89284i	0.219499	−	0.325219i
$590$	9.65383	+	18.0880i	0.397442	+	0.744670i
$591$	17.1824	+	14.4178i	0.706791	+	0.593068i
$592$	−6.72353	−	46.4902i	−0.276336	−	1.91074i
$593$	−12.9588	+	2.28499i	−0.532156	+	0.0938334i	−0.433268	−	0.901265i	$-0.642640\pi$
$593$	−12.9588	+	2.28499i	−0.532156	+	0.0938334i	−0.0988879	+	0.995099i	$0.531529\pi$
$594$	−10.7772	+	1.81457i	−0.442195	+	0.0744528i
$595$	−1.28085	−	0.259841i	−0.0525096	−	0.0106524i
$596$	−14.6473	+	38.3869i	−0.599978	+	1.57239i
$597$	−4.23953	+	7.34309i	−0.173513	+	0.300532i
$598$	9.63931	+	5.66501i	0.394181	+	0.231659i
$599$	−5.90120	+	4.95169i	−0.241116	+	0.202321i	−0.755336	−	0.655338i	$-0.772526\pi$
$599$	−5.90120	+	4.95169i	−0.241116	+	0.202321i	0.514219	+	0.857659i	$0.328082\pi$
$600$	−14.3282	−	13.9645i	−0.584946	−	0.570100i
$601$	−15.4532	−	26.7658i	−0.630350	−	1.09180i	−0.987480	−	0.157744i	$-0.949578\pi$
$601$	−15.4532	−	26.7658i	−0.630350	−	1.09180i	0.357130	−	0.934055i	$-0.383755\pi$
$602$	−0.0119940	+	1.55229i	−0.000488840	+	0.0632664i
$603$	2.09425	−	11.8771i	0.0852844	−	0.483672i
$604$	12.2787	+	10.6306i	0.499612	+	0.432555i
$605$	−17.9432	+	9.75542i	−0.729493	+	0.396614i
$606$	−10.0122	+	26.8607i	−0.406718	+	1.09114i
$607$			15.5718i			0.632038i	0.948753	+	0.316019i	$0.102346\pi$
$607$			15.5718i			0.632038i	−0.948753	+	0.316019i	$0.897654\pi$
$608$	−23.9490	+	5.86916i	−0.971259	+	0.238026i
$609$	0.765671			0.0310266
$610$	−1.59074	+	7.54180i	−0.0644073	+	0.305358i
$611$	−2.99527	−	8.22945i	−0.121176	−	0.332928i
$612$	7.11265	−	8.21529i	0.287512	−	0.332084i
$613$	3.58600	−	20.3372i	0.144837	−	0.821413i	−0.822660	−	0.568533i	$-0.807511\pi$
$613$	3.58600	−	20.3372i	0.144837	−	0.821413i	0.967498	−	0.252880i	$-0.0813778\pi$
$614$	−12.7812	−	0.0987564i	−0.515807	−	0.00398548i
$615$	4.87245	+	6.11844i	0.196476	+	0.246719i
$616$	0.199128	+	0.364138i	0.00802309	+	0.0146716i
$617$	23.1668	+	27.6091i	0.932660	+	1.11150i	0.993554	+	0.113357i	$0.0361603\pi$
$617$	23.1668	+	27.6091i	0.932660	+	1.11150i	−0.0608944	+	0.998144i	$0.519395\pi$
$618$	26.4887	+	15.5674i	1.06553	+	0.626211i
$619$	9.78007	+	5.64653i	0.393094	+	0.226953i	0.683500	−	0.729950i	$-0.260457\pi$
$619$	9.78007	+	5.64653i	0.393094	+	0.226953i	−0.290406	+	0.956904i	$0.593790\pi$
$620$	9.54351	+	2.09010i	0.383277	+	0.0839403i
$621$	12.0766	−	33.1802i	0.484617	−	1.33148i
$622$	−3.24020	−	19.2444i	−0.129920	−	0.771631i
$623$	0.0368358	−	0.00649514i	0.00147579	−	0.000260222i
$624$	1.02593	+	7.09386i	0.0410702	+	0.283982i
$625$	24.8689	+	2.55723i	0.994755	+	0.102289i
$626$	7.31759	+	20.5987i	0.292470	+	0.823292i
$627$	2.31978	+	8.09883i	0.0926433	+	0.323436i
$628$	3.40604	−	2.76946i	0.135916	−	0.110513i
$629$	41.0760	−	48.9525i	1.63781	−	1.95186i
$630$	0.252386	+	0.226536i	0.0100553	+	0.00902541i
$631$	−4.08725	−	23.1800i	−0.162711	−	0.922779i	−0.951393	−	0.307979i	$-0.900348\pi$
$631$	−4.08725	−	23.1800i	−0.162711	−	0.922779i	0.788682	−	0.614801i	$-0.210764\pi$
$632$	5.06405	+	4.45328i	0.201437	+	0.177142i
$633$	−0.0464929	+	0.127738i	−0.00184793	+	0.00507714i
$634$	−9.19748	−	7.83950i	−0.365279	−	0.311346i
$635$	2.66742	+	1.04899i	0.105853	+	0.0416280i
$636$	4.28073	−	22.2601i	0.169742	−	0.882670i
$637$	6.78066	−	5.68965i	0.268660	−	0.225432i
$638$	1.76442	−	9.57336i	0.0698539	−	0.379013i
$639$	−2.52050	−	4.36564i	−0.0997095	−	0.172702i
$640$	−14.6668	−	20.6127i	−0.579756	−	0.814790i
$641$	−0.982549	+	5.57231i	−0.0388084	+	0.220093i	−0.998044	−	0.0625141i	$-0.980088\pi$
$641$	−0.982549	+	5.57231i	−0.0388084	+	0.220093i	0.959236	+	0.282607i	$0.0911993\pi$
$642$	−6.04872	−	10.6662i	−0.238724	−	0.420960i
$643$	−26.7831	+	9.74824i	−1.05622	+	0.384433i	−0.811007	−	0.585036i	$-0.801080\pi$
$643$	−26.7831	+	9.74824i	−1.05622	+	0.384433i	−0.245214	+	0.969469i	$0.578858\pi$
$644$	−1.34073	−	0.0207201i	−0.0528323	−	0.000816486i
$645$	−31.9710	+	4.79650i	−1.25886	+	0.188862i
$646$	−27.6581	−	18.9799i	−1.08819	−	0.746753i
$647$			5.35113i			0.210374i	0.994452	+	0.105187i	$0.0335442\pi$
$647$			5.35113i			0.210374i	−0.994452	+	0.105187i	$0.966456\pi$
$648$	13.4183	−	4.53450i	0.527120	−	0.178132i
$649$	8.32318	−	3.02939i	0.326713	−	0.118914i
$650$	−6.50966	−	6.15119i	−0.255330	−	0.241269i
$651$	0.326922	+	0.0576452i	0.0128131	+	0.00225929i
$652$	29.8684	−	10.3514i	1.16974	−	0.405392i
$653$	−21.7494	−	37.6710i	−0.851119	−	1.47418i	−0.880199	−	0.474605i	$-0.842591\pi$
$653$	−21.7494	−	37.6710i	−0.851119	−	1.47418i	0.0290799	−	0.999577i	$-0.490742\pi$
$654$	−21.6006	−	3.98110i	−0.844652	−	0.155673i
$655$	−10.8132	−	9.55585i	−0.422506	−	0.373378i
$656$	4.67785	+	8.71348i	0.182639	+	0.340204i
$657$	−13.0314	−	7.52369i	−0.508404	−	0.293527i
$658$	0.799328	+	0.681309i	0.0311611	+	0.0265602i
$659$	−2.98490	+	8.20094i	−0.116275	+	0.319463i	−0.984155	−	0.177311i	$-0.943260\pi$
$659$	−2.98490	+	8.20094i	−0.116275	+	0.319463i	0.867880	+	0.496774i	$0.165482\pi$
$660$	−6.84374	+	5.27931i	−0.266392	+	0.205497i
$661$	16.5526	−	2.91867i	0.643823	−	0.113523i	0.157802	−	0.987471i	$-0.449559\pi$
$661$	16.5526	−	2.91867i	0.643823	−	0.113523i	0.486020	+	0.873947i	$0.338448\pi$
$662$	−13.2398	−	16.0284i	−0.514578	−	0.622962i
$663$	−6.26771	+	7.46957i	−0.243418	+	0.290094i
$664$	6.52701	−	10.7232i	0.253297	−	0.416140i
$665$	0.607706	−	0.852470i	0.0235658	−	0.0330574i
$666$	−15.6257	+	5.55094i	−0.605483	+	0.215095i
$667$	24.0928	+	20.2163i	0.932878	+	0.782778i
$668$	−35.9405	−	21.4975i	−1.39058	−	0.831764i
$669$	−29.3477	+	5.17480i	−1.13465	+	0.200069i
$670$	−11.8601	−	36.3085i	−0.458196	−	1.40272i
$671$	3.12896	+	1.13885i	0.120792	+	0.0439647i
$672$	−0.526701	−	0.679349i	−0.0203179	−	0.0262065i
$673$	2.26803	+	1.30945i	0.0874261	+	0.0504755i	0.543076	−	0.839684i	$-0.317260\pi$
$673$	2.26803	+	1.30945i	0.0874261	+	0.0504755i	−0.455650	+	0.890159i	$0.650593\pi$
$674$	12.1933	+	7.16596i	0.469667	+	0.276022i
$675$	−15.3780	+	23.7385i	−0.591900	+	0.913696i
$676$	−3.61039	−	22.5037i	−0.138861	−	0.865527i
$677$	14.6692	+	25.4079i	0.563785	+	0.976504i	0.997162	+	0.0752912i	$0.0239886\pi$
$677$	14.6692	+	25.4079i	0.563785	+	0.976504i	−0.433377	+	0.901213i	$0.642678\pi$
$678$	0.219448	−	28.4013i	0.00842785	−	1.09074i
$679$	0.0528324	−	0.299627i	0.00202752	−	0.0114986i
$680$	7.62227	−	33.5608i	0.292301	−	1.28700i
$681$	6.19221	−	2.25378i	0.237286	−	0.0863651i
$682$	1.47411	−	3.95474i	0.0564466	−	0.151435i
$683$	35.1868			1.34638			0.673192	−	0.739468i	$-0.264923\pi$
$683$	35.1868			1.34638			0.673192	+	0.739468i	$0.264923\pi$
$684$	3.69217	+	7.88262i	0.141174	+	0.301399i
$685$	−4.05068	−	26.9998i	−0.154769	−	1.03161i
$686$	−0.742151	+	1.99104i	−0.0283355	+	0.0760183i
$687$	−4.32127	−	11.8726i	−0.164867	−	0.452967i
$688$	−40.8579	−	1.26316i	−1.55769	−	0.0481577i
$689$	1.76201	−	9.99285i	0.0671272	−	0.380697i
$690$	−3.92968	−	27.6475i	−0.149600	−	1.05252i
$691$	−15.5714	+	8.99013i	−0.592362	+	0.342001i	−0.766031	−	0.642804i	$-0.777771\pi$
$691$	−15.5714	+	8.99013i	−0.592362	+	0.342001i	0.173669	+	0.984804i	$0.444438\pi$
$692$	1.22312	+	7.62373i	0.0464959	+	0.289811i
$693$	0.112233	−	0.0941751i	0.00426340	−	0.00357742i
$694$	−1.27690	+	2.17270i	−0.0484703	+	0.0824747i
$695$	24.2168	+	9.52350i	0.918595	+	0.361247i
$696$	−0.467314	+	20.1570i	−0.0177135	+	0.764047i
$697$	−4.60152	+	12.6426i	−0.174295	+	0.478871i
$698$	1.32191	−	0.222572i	0.0500351	−	0.00842446i
$699$	14.1461	−	2.49433i	0.535054	−	0.0943444i
$700$	1.04300	+	0.256590i	0.0394219	+	0.00969818i
$701$	−22.0918	+	26.3280i	−0.834396	+	0.994395i	0.165570	+	0.986198i	$0.447054\pi$
$701$	−22.0918	+	26.3280i	−0.834396	+	0.994395i	−0.999966	+	0.00819673i	$0.997391\pi$
$702$	9.54814	−	3.39193i	0.360371	−	0.128020i
$703$	22.4264	+	46.0145i	0.845827	+	1.73547i
$704$	−9.70779	+	5.01997i	−0.365876	+	0.189197i
$705$	−11.4183	+	18.6565i	−0.430037	+	0.702644i
$706$	30.9206	+	37.4333i	1.16371	+	1.40882i
$707$	−0.267232	−	1.51555i	−0.0100503	−	0.0569980i
$708$	−16.0274	+	8.92610i	−0.602348	+	0.335463i
$709$	4.42590	−	12.1601i	0.166218	−	0.456681i	−0.828419	−	0.560109i	$-0.810759\pi$
$709$	4.42590	−	12.1601i	0.166218	−	0.456681i	0.994637	+	0.103429i	$0.0329813\pi$
$710$	−13.5527	−	8.43923i	−0.508623	−	0.316719i
$711$	1.19029	−	2.06164i	0.0446394	−	0.0773177i
$712$	0.148508	+	0.973697i	0.00556557	+	0.0364909i
$713$	8.76500	+	10.4457i	0.328252	+	0.391195i
$714$	0.211958	−	1.15004i	0.00793231	−	0.0430391i
$715$	−3.02663	+	2.41027i	−0.113189	+	0.0901390i
$716$	−15.5273	−	44.8032i	−0.580282	−	1.67437i
$717$	−4.24713	+	24.0867i	−0.158612	+	0.899533i
$718$	2.47170	+	4.35853i	0.0922429	+	0.162659i
$719$	38.1135	−	13.8722i	1.42140	−	0.517346i	0.486943	−	0.873434i	$-0.338112\pi$
$719$	38.1135	−	13.8722i	1.42140	−	0.517346i	0.934452	+	0.356088i	$0.115890\pi$
$720$	−6.11779	+	6.50601i	−0.227997	+	0.242465i
$721$	−1.64943			−0.0614280
$722$	22.9045	−	14.0493i	0.852418	−	0.522861i
$723$	−9.61139			−0.357451
$724$	0.336108	−	21.7485i	0.0124914	−	0.808276i
$725$	−15.1844	−	20.1032i	−0.563933	−	0.746614i
$726$	−9.01467	−	15.8963i	−0.334566	−	0.589965i
$727$	23.4044	+	4.12684i	0.868023	+	0.153056i	0.589887	−	0.807486i	$-0.299172\pi$
$727$	23.4044	+	4.12684i	0.868023	+	0.153056i	0.278136	+	0.960542i	$0.410283\pi$
$728$	−0.240442	−	0.300422i	−0.00891137	−	0.0111344i
$729$	−14.5046	−	25.1227i	−0.537207	−	0.930469i
$730$	−47.6304	−	1.58876i	−1.76288	−	0.0588025i
$731$	−35.7450	−	42.5993i	−1.32208	−	1.57559i
$732$	−6.77255	−	1.30240i	−0.250321	−	0.0481380i
$733$	−15.0786	+	26.1169i	−0.556942	+	0.964651i	0.440808	+	0.897601i	$0.354692\pi$
$733$	−15.0786	+	26.1169i	−0.556942	+	0.964651i	−0.997750	+	0.0670498i	$0.978641\pi$
$734$	−0.690014	+	0.809541i	−0.0254689	+	0.0298807i
$735$	−21.6666	−	4.39541i	−0.799183	−	0.162127i
$736$	1.36377	−	35.2833i	0.0502691	−	1.30056i
$737$	−16.2503	+	2.86537i	−0.598587	+	0.105547i
$738$	2.69168	−	2.22337i	0.0990820	−	0.0818435i
$739$	−4.96631	+	5.91862i	−0.182689	+	0.217720i	−0.849614	−	0.527404i	$-0.823165\pi$
$739$	−4.96631	+	5.91862i	−0.182689	+	0.217720i	0.666926	+	0.745124i	$0.267610\pi$
$740$	−35.3816	+	38.8114i	−1.30065	+	1.42674i
$741$	−3.42200	−	7.02126i	−0.125710	−	0.257933i
$742$	0.407363	+	1.14671i	0.0149548	+	0.0420971i
$743$	8.41237	−	10.0255i	0.308620	−	0.367799i	−0.589333	−	0.807890i	$-0.700609\pi$
$743$	8.41237	−	10.0255i	0.308620	−	0.367799i	0.897953	+	0.440091i	$0.145054\pi$
$744$	−1.71709	+	8.57132i	−0.0629516	+	0.314240i
$745$	43.5541	−	14.6003i	1.59570	−	0.534912i
$746$	−0.525936	−	3.12368i	−0.0192559	−	0.114366i
$747$	−4.16427	−	1.51567i	−0.152363	−	0.0554555i
$748$	−13.8907	−	5.30030i	−0.507896	−	0.193798i
$749$	0.570083	+	0.329138i	0.0208304	+	0.0120264i
$750$	−1.88968	+	22.2893i	−0.0690015	+	0.813889i
$751$	−10.2781	+	8.62439i	−0.375055	+	0.314708i	−0.810757	−	0.585382i	$-0.800944\pi$
$751$	−10.2781	+	8.62439i	−0.375055	+	0.314708i	0.435703	+	0.900091i	$0.356500\pi$
$752$	−18.4239	+	20.6272i	−0.671851	+	0.752196i
$753$	−30.6898	+	17.7188i	−1.11840	+	0.645708i
$754$	−0.0697345	+	9.02515i	−0.00253958	+	0.328676i
$755$	0.465109	−	18.1523i	0.0169271	−	0.660628i
$756$	−0.795412	+	0.918722i	−0.0289289	+	0.0334136i
$757$	22.0704	−	8.03296i	0.802161	−	0.291963i	0.0917796	−	0.995779i	$-0.470744\pi$
$757$	22.0704	−	8.03296i	0.802161	−	0.291963i	0.710382	+	0.703816i	$0.248522\pi$
$758$	10.4765	−	28.1064i	0.380524	−	1.02087i
$759$	−12.0639			−0.437891
$760$	22.0711	+	16.5187i	0.800603	+	0.599196i
$761$	42.8106			1.55188			0.775942	−	0.630804i	$-0.217275\pi$
$761$	42.8106			1.55188			0.775942	+	0.630804i	$0.217275\pi$
$762$	−0.895758	+	2.40314i	−0.0324499	+	0.0870565i
$763$	1.10804	−	0.403294i	0.0401138	−	0.0146002i
$764$	−24.7868	−	21.4600i	−0.896756	−	0.776395i
$765$	−12.1451	−	0.311191i	−0.439108	−	0.0112511i
$766$	0.174334	−	22.5626i	0.00629894	−	0.815218i
$767$	−7.11186	+	4.10604i	−0.256795	+	0.148260i
$768$	18.2059	−	13.4512i	0.656950	−	0.485380i
$769$	−20.1552	+	16.9122i	−0.726815	+	0.609871i	−0.929261	−	0.369423i	$-0.879555\pi$
$769$	−20.1552	+	16.9122i	−0.726815	+	0.609871i	0.202446	+	0.979293i	$0.435111\pi$
$770$	0.173151	−	0.430499i	0.00623992	−	0.0155141i
$771$	16.6883	+	9.63501i	0.601015	+	0.346996i
$772$	6.99342	−	18.3280i	0.251699	−	0.659638i
$773$	34.3769	+	12.5122i	1.23645	+	0.450032i	0.875802	−	0.482670i	$-0.160333\pi$
$773$	34.3769	+	12.5122i	1.23645	+	0.450032i	0.360650	+	0.932701i	$0.382555\pi$
$774$	2.39591	+	14.2300i	0.0861193	+	0.511486i
$775$	−4.96983	−	9.72675i	−0.178521	−	0.349395i
$776$	7.85570	+	1.57373i	0.282003	+	0.0564936i
$777$	−1.14707	+	1.36703i	−0.0411510	+	0.0490418i
$778$	5.96025	+	16.7779i	0.213685	+	0.601516i
$779$	−7.75024	−	7.48863i	−0.277681	−	0.268308i
$780$	5.39881	−	5.92217i	0.193308	−	0.212048i
$781$	−4.43339	+	5.28351i	−0.158639	+	0.189059i
$782$	37.0344	−	30.5910i	1.32435	−	1.09393i
$783$	28.0700	−	4.94949i	1.00314	−	0.176880i
$784$	−25.9600	−	10.3679i	−0.927144	−	0.370283i
$785$	−4.81005	−	0.975797i	−0.171678	−	0.0348277i
$786$	8.37582	−	9.82671i	0.298756	−	0.350507i
$787$	5.18830	−	8.98640i	0.184943	−	0.320331i	−0.758614	−	0.651540i	$-0.774123\pi$
$787$	5.18830	−	8.98640i	0.184943	−	0.320331i	0.943557	+	0.331209i	$0.107457\pi$
$788$	5.98806	−	31.1383i	0.213316	−	1.10926i
$789$	−9.23557	−	11.0065i	−0.328795	−	0.391843i
$790$	0.251351	−	7.53540i	0.00894265	−	0.268097i
$791$	0.762379	+	1.32048i	0.0271071	+	0.0469508i
$792$	2.41074	+	3.01212i	0.0856619	+	0.107031i
$793$	−3.04029	−	0.536085i	−0.107964	−	0.0190369i
$794$	−9.52173	−	16.7904i	−0.337913	−	0.595869i
$795$	−22.2655	+	12.1054i	−0.789677	+	0.429335i
$796$	11.9852	+	0.185223i	0.424804	+	0.00656505i
$797$	−44.1972			−1.56555			−0.782773	−	0.622307i	$-0.786196\pi$
$797$	−44.1972			−1.56555			−0.782773	+	0.622307i	$0.786196\pi$
$798$	0.772369	+	0.530024i	0.0273416	+	0.0187627i
$799$	−37.6247			−1.33106
$800$	−7.39153	+	27.3014i	−0.261330	+	0.965250i
$801$	0.326734	−	0.118921i	0.0115446	−	0.00420188i
$802$	20.2337	+	35.6796i	0.714475	+	1.25989i
$803$	−3.57506	+	20.2752i	−0.126161	+	0.715495i
$804$	32.2926	−	11.1915i	1.13887	−	0.394695i
$805$	0.933911	+	1.17273i	0.0329160	+	0.0413334i
$806$	−0.709252	+	3.84826i	−0.0249823	+	0.135549i
$807$	−8.19661	−	9.76833i	−0.288534	−	0.343862i
$808$	40.0612	−	6.11012i	1.40935	−	0.214953i
$809$	18.0924	−	31.3369i	0.636095	−	1.10175i	−0.350187	−	0.936680i	$-0.613882\pi$
$809$	18.0924	−	31.3369i	0.636095	−	1.10175i	0.986282	−	0.165069i	$-0.0527845\pi$
$810$	−13.4424	−	8.37057i	−0.472318	−	0.294112i
$811$	12.5207	−	34.4003i	0.439661	−	1.20796i	−0.500052	−	0.865995i	$-0.666686\pi$
$811$	12.5207	−	34.4003i	0.439661	−	1.20796i	0.939713	−	0.341963i	$-0.111092\pi$
$812$	−0.526655	−	0.945645i	−0.0184820	−	0.0331856i
$813$	−0.434829	−	2.46604i	−0.0152501	−	0.0864878i
$814$	14.4489	+	17.4923i	0.506435	+	0.613104i
$815$	−30.1448	−	18.4494i	−1.05593	−	0.646256i
$816$	30.1464	+	6.28187i	1.05533	+	0.219909i
$817$	42.8231	−	12.2660i	1.49819	−	0.429133i
$818$	3.84981	−	1.36763i	0.134606	−	0.0478179i
$819$	−0.0873143	+	0.104057i	−0.00305101	+	0.00363605i
$820$	4.20516	−	10.2262i	0.146851	−	0.357115i
$821$	17.3134	−	3.05281i	0.604241	−	0.106544i	0.136845	−	0.990592i	$-0.456304\pi$
$821$	17.3134	−	3.05281i	0.604241	−	0.106544i	0.467395	+	0.884049i	$0.345193\pi$
$822$	24.0899	−	4.05603i	0.840231	−	0.141470i
$823$	−5.87162	+	16.1321i	−0.204672	+	0.562331i	−0.998979	−	0.0451856i	$-0.985612\pi$
$823$	−5.87162	+	16.1321i	−0.204672	+	0.562331i	0.794307	+	0.607517i	$0.207834\pi$
$824$	1.00670	−	43.4227i	0.0350701	−	1.51270i
$825$	9.41835	+	2.16323i	0.327905	+	0.0753141i
$826$	0.499008	−	0.849088i	0.0173627	−	0.0295436i
$827$	−3.69764	+	3.10269i	−0.128580	+	0.107891i	−0.704810	−	0.709396i	$-0.748968\pi$
$827$	−3.69764	+	3.10269i	−0.128580	+	0.107891i	0.576230	+	0.817287i	$0.304523\pi$
$828$	−12.3074	+	1.97454i	−0.427711	+	0.0686200i
$829$	8.85740	−	5.11382i	0.307630	−	0.177610i	−0.338235	−	0.941062i	$-0.609830\pi$
$829$	8.85740	−	5.11382i	0.307630	−	0.177610i	0.645866	+	0.763451i	$0.276497\pi$
$830$	−13.8955	+	1.97504i	−0.482320	+	0.0685546i
$831$	3.98194	−	22.5827i	0.138132	−	0.783385i
$832$	8.05562	−	6.14648i	0.279278	−	0.213091i
$833$	−13.0064	−	35.7348i	−0.450646	−	1.23814i
$834$	−8.13233	+	21.8174i	−0.281600	+	0.755475i
$835$	6.94685	+	46.3041i	0.240406	+	1.60242i
$836$	8.40686	−	8.43571i	0.290757	−	0.291755i
$837$	12.3578			0.427148
$838$	−7.76449	+	20.8306i	−0.268220	+	0.719580i
$839$	35.3858	−	12.8794i	1.22165	−	0.444646i	0.350923	−	0.936405i	$-0.385868\pi$
$839$	35.3858	−	12.8794i	1.22165	−	0.444646i	0.870731	+	0.491759i	$0.163646\pi$
$840$	−0.212856	+	0.937206i	−0.00734424	+	0.0323367i
$841$	0.627190	−	3.55697i	0.0216272	−	0.122654i
$842$	0.129346	−	16.7401i	0.00445754	−	0.576902i
$843$	−16.1150	−	27.9120i	−0.555029	−	0.961339i
$844$	0.189743	−	0.0304415i	0.00653122	−	0.00104784i
$845$	−16.8739	+	19.0941i	−0.580480	+	0.656858i
$846$	8.41734	+	4.94686i	0.289394	+	0.170077i
$847$	0.849620	+	0.490528i	0.0291933	+	0.0168547i
$848$	−30.4368	+	10.0243i	−1.04520	+	0.344236i
$849$	3.22075	+	1.17226i	0.110536	+	0.0402317i
$850$	−34.3984	+	17.2418i	−1.17986	+	0.591390i
$851$	−72.1882	+	12.7287i	−2.47458	+	0.436335i
$852$	7.33302	−	12.2597i	0.251225	−	0.420009i
$853$	15.8593	+	13.3075i	0.543011	+	0.455640i	0.872566	−	0.488496i	$-0.162454\pi$
$853$	15.8593	+	13.3075i	0.543011	+	0.455640i	−0.329555	+	0.944136i	$0.606899\pi$
$854$	0.348883	−	0.123939i	0.0119385	−	0.00424110i
$855$	4.18727	−	8.78502i	0.143202	−	0.300441i
$856$	−9.01277	+	14.8070i	−0.308050	+	0.506094i
$857$	10.6294	−	12.6676i	0.363093	−	0.432717i	−0.553310	−	0.832976i	$-0.686635\pi$
$857$	10.6294	−	12.6676i	0.363093	−	0.432717i	0.916402	+	0.400259i	$0.131080\pi$
$858$	−2.20474	−	2.66912i	−0.0752685	−	0.0911221i
$859$	−6.27306	+	1.10611i	−0.214034	+	0.0377400i	−0.279637	−	0.960106i	$-0.590214\pi$
$859$	−6.27306	+	1.10611i	−0.214034	+	0.0377400i	0.0656028	+	0.997846i	$0.479103\pi$
$860$	27.9147	+	36.1867i	0.951883	+	1.23396i
$861$	0.128500	−	0.353051i	0.00437927	−	0.0120319i
$862$	28.0413	+	23.9011i	0.955090	+	0.814073i
$863$	33.5025	+	19.3427i	1.14044	+	0.658432i	0.946539	−	0.322590i	$-0.104553\pi$
$863$	33.5025	+	19.3427i	1.14044	+	0.658432i	0.193899	+	0.981022i	$0.437887\pi$
$864$	−23.7007	−	21.5006i	−0.806314	−	0.731466i
$865$	5.71649	−	6.46865i	0.194366	−	0.219941i
$866$	27.5105	+	5.07032i	0.934846	+	0.172297i
$867$	8.92051	+	15.4508i	0.302956	+	0.524736i
$868$	−0.153673	−	0.443417i	−0.00521601	−	0.0150505i
$869$	−3.20765	−	0.565595i	−0.108812	−	0.0191865i
$870$	17.7418	−	13.9061i	0.601503	−	0.471462i
$871$	14.3762	−	5.23252i	0.487120	−	0.177297i
$872$	9.94078	+	29.4163i	0.336637	+	0.996161i
$873$		−	2.82826i		−	0.0957222i
$874$	10.3092	+	37.0710i	0.348713	+	1.25395i
$875$	−0.518823	−	1.08302i	−0.0175394	−	0.0366129i
$876$	0.658922	−	42.6368i	0.0222629	−	1.44056i
$877$	8.41540	−	3.06295i	0.284168	−	0.103429i	−0.196004	−	0.980603i	$-0.562797\pi$
$877$	8.41540	−	3.06295i	0.284168	−	0.103429i	0.480172	+	0.877174i	$0.340574\pi$
$878$	23.5885	+	41.5955i	0.796075	+	1.40378i
$879$	−5.81596	+	32.9839i	−0.196167	+	1.11252i
$880$	11.2276	+	4.82109i	0.378482	+	0.162519i
$881$	10.7039	+	18.5397i	0.360624	+	0.624619i	0.988064	−	0.154046i	$-0.0492305\pi$
$881$	10.7039	+	18.5397i	0.360624	+	0.624619i	−0.627440	+	0.778665i	$0.715897\pi$
$882$	−1.78861	+	9.70462i	−0.0602256	+	0.326772i
$883$	−26.9460	+	22.6104i	−0.906804	+	0.760899i	−0.971508	−	0.237005i	$-0.923834\pi$
$883$	−26.9460	+	22.6104i	−0.906804	+	0.760899i	0.0647040	+	0.997904i	$0.479390\pi$
$884$	13.5365	+	2.60313i	0.455281	+	0.0875529i
$885$	19.0878	+	7.50648i	0.641630	+	0.252328i
$886$	24.1273	+	20.5650i	0.810574	+	0.690894i
$887$	−5.23767	+	14.3904i	−0.175864	+	0.483182i	−0.996038	−	0.0889327i	$-0.971654\pi$
$887$	−5.23767	+	14.3904i	−0.175864	+	0.483182i	0.820174	+	0.572114i	$0.193877\pi$
$888$	−35.2881	−	31.0320i	−1.18419	−	1.04137i
$889$	−0.0239083	−	0.135591i	−0.000801859	−	0.00454757i
$890$	0.735577	−	0.819514i	0.0246566	−	0.0274702i
$891$	−4.39732	+	5.24052i	−0.147316	+	0.175564i
$892$	26.5775	+	32.6866i	0.889881	+	1.09443i
$893$	12.2664	−	27.5296i	0.410481	−	0.921243i
$894$	13.7589	+	38.7309i	0.460168	+	1.29536i
$895$	−27.6745	+	45.2178i	−0.925057	+	1.51146i
$896$	−0.476750	+	1.11778i	−0.0159271	+	0.0373425i
$897$	11.0151	−	1.94225i	0.367782	−	0.0648500i
$898$	−1.47456	−	8.75778i	−0.0492066	−	0.292251i
$899$	−3.76473	+	10.3435i	−0.125561	+	0.344975i
$900$	9.96252	+	0.665359i	0.332084	+	0.0221786i
$901$	−37.7534	−	21.7969i	−1.25775	−	0.726161i
$902$	−4.11816	−	2.42024i	−0.137120	−	0.0805851i
$903$	0.998201	+	1.18961i	0.0332181	+	0.0395877i
$904$	−35.2280	+	19.2643i	−1.17167	+	0.640723i
$905$	−19.0233	+	15.1493i	−0.632356	+	0.503580i
$906$	16.2469	+	0.125535i	0.539768	+	0.00417062i
$907$	−2.24147	+	12.7120i	−0.0744268	+	0.422096i	0.924714	+	0.380662i	$0.124304\pi$
$907$	−2.24147	+	12.7120i	−0.0744268	+	0.422096i	−0.999141	+	0.0414339i	$0.986807\pi$
$908$	−7.04276	−	6.09748i	−0.233722	−	0.202352i
$909$	−4.89282	−	13.4429i	−0.162285	−	0.445873i
$910$	−0.0887882	+	0.420950i	−0.00294330	+	0.0139544i
$911$	−12.1403			−0.402225			−0.201113	−	0.979568i	$-0.564456\pi$
$911$	−12.1403			−0.402225			−0.201113	+	0.979568i	$0.564456\pi$
$912$	−14.4247	+	20.0098i	−0.477651	+	0.662590i
$913$			6.06324i			0.200664i
$914$	13.4294	−	36.0283i	0.444205	−	1.19171i
$915$	3.68303	+	6.77420i	0.121757	+	0.223948i
$916$	−11.6910	+	13.5034i	−0.386280	+	0.446164i
$917$	−0.120368	+	0.682643i	−0.00397491	+	0.0225428i
$918$	0.336353	−	43.5312i	0.0111013	−	1.43675i
$919$	26.4708	+	45.8487i	0.873190	+	1.51241i	0.858679	+	0.512514i	$0.171286\pi$
$919$	26.4708	+	45.8487i	0.873190	+	1.51241i	0.0145109	+	0.999895i	$0.495381\pi$
$920$	−31.4432	+	23.8703i	−1.03665	+	0.786979i
$921$	−9.79499	+	8.21898i	−0.322756	+	0.270824i
$922$	−22.8869	−	13.4506i	−0.753740	−	0.442972i
$923$	3.19733	−	5.53795i	0.105242	−	0.182284i
$924$	0.387907	+	0.148014i	0.0127612	+	0.00486931i
$925$	58.6403	+	3.00702i	1.92808	+	0.0988701i
$926$	−44.2939	+	7.45780i	−1.45559	+	0.245079i
$927$	−15.0999	+	2.66253i	−0.495947	+	0.0874489i
$928$	25.2163	−	13.2875i	0.827767	−	0.436183i
$929$	−1.19970	−	1.00666i	−0.0393607	−	0.0330276i	0.622895	−	0.782305i	$-0.285956\pi$
$929$	−1.19970	−	1.00666i	−0.0393607	−	0.0330276i	−0.662256	+	0.749278i	$0.730401\pi$
$930$	8.62225	−	4.60183i	0.282735	−	0.150900i
$931$	30.3872	+	2.13365i	0.995900	+	0.0699277i
$932$	−12.8108	−	15.7555i	−0.419631	−	0.516087i
$933$	−14.9553	−	12.5490i	−0.489614	−	0.410835i
$934$	−20.1972	+	16.6833i	−0.660874	+	0.545893i
$935$	5.28327	+	15.7605i	0.172781	+	0.515425i
$936$	−2.68610	−	2.36213i	−0.0877980	−	0.0772087i
$937$	−2.63775	+	7.24715i	−0.0861715	+	0.236754i	−0.975292	−	0.220918i	$-0.929095\pi$
$937$	−2.63775	+	7.24715i	−0.0861715	+	0.236754i	0.889121	+	0.457673i	$0.151317\pi$
$938$	−1.19020	+	1.39637i	−0.0388613	+	0.0455930i
$939$	18.9385	+	10.9341i	0.618034	+	0.356822i
$940$	30.8956	+	1.26960i	1.00770	+	0.0414098i
$941$	21.0626	+	25.1014i	0.686621	+	0.818284i	0.990943	−	0.134286i	$-0.0428740\pi$
$941$	21.0626	+	25.1014i	0.686621	+	0.818284i	−0.304321	+	0.952569i	$0.598430\pi$
$942$	0.795978	−	4.31882i	0.0259344	−	0.140715i
$943$	13.3652	−	7.71637i	0.435229	−	0.251280i
$944$	22.0484	+	13.6550i	0.717615	+	0.444434i
$945$	1.35820	+	0.0348007i	0.0441822	+	0.00113207i
$946$	17.1742	−	9.73939i	0.558382	−	0.316655i
$947$	−35.0459	+	12.7557i	−1.13884	+	0.414504i	−0.841494	−	0.540266i	$-0.818324\pi$
$947$	−35.0459	+	12.7557i	−1.13884	+	0.414504i	−0.297346	+	0.954770i	$0.596101\pi$
$948$	6.74539	+	0.104245i	0.219080	+	0.00338573i
$949$		−	19.0881i		−	0.619625i
$950$	−1.40105	−	30.7902i	−0.0454561	−	0.998966i
$951$	−12.0898			−0.392038
$952$	−1.56615	+	0.529257i	−0.0507592	+	0.0171533i
$953$	10.5499	+	28.9857i	0.341746	+	0.938939i	0.984888	+	0.173192i	$0.0554082\pi$
$953$	10.5499	+	28.9857i	0.341746	+	0.938939i	−0.643142	+	0.765747i	$0.722370\pi$
$954$	5.58030	+	9.84017i	0.180669	+	0.318587i
$955$	−0.938911	+	36.6438i	−0.0303825	+	1.18576i
$956$	32.6696	−	11.3222i	1.05661	−	0.366186i
$957$	−4.86916	−	8.43363i	−0.157398	−	0.272620i
$958$	1.97228	−	10.7012i	0.0637216	−	0.345740i
$959$	−1.00464	+	0.842989i	−0.0324414	+	0.0272215i
$960$	−24.5428	−	6.17564i	−0.792117	−	0.199318i
$961$	13.1138	−	22.7138i	0.423027	−	0.732704i
$962$	−16.0090	−	13.6453i	−0.516151	−	0.439942i
$963$	5.75020	+	2.09290i	0.185298	+	0.0674428i
$964$	6.61104	+	11.8706i	0.212927	+	0.382326i
$965$	−20.7950	+	6.97094i	−0.669416	+	0.224403i
$966$	−1.03421	+	0.854273i	−0.0332751	+	0.0274858i
$967$	25.1167	−	29.9329i	0.807698	−	0.962577i	−0.192125	−	0.981370i	$-0.561538\pi$
$967$	25.1167	−	29.9329i	0.807698	−	0.962577i	0.999823	+	0.0187932i	$0.00598243\pi$
$968$	−13.4321	+	22.0676i	−0.431725	+	0.709279i
$969$	−33.3741	+	3.49806i	−1.07213	+	0.112374i
$970$	−4.21762	−	7.90237i	−0.135420	−	0.253730i
$971$	−9.37430	+	11.1719i	−0.300836	+	0.358522i	−0.895193	−	0.445679i	$-0.852962\pi$
$971$	−9.37430	+	11.1719i	−0.300836	+	0.358522i	0.594357	+	0.804201i	$0.297407\pi$
$972$	−10.1494	+	16.9682i	−0.325542	+	0.544255i
$973$	−0.217057	−	1.23099i	−0.00695852	−	0.0394637i
$974$	−34.7500	+	5.85088i	−1.11346	+	0.187474i
$975$	−8.94782	−	0.458835i	−0.286560	−	0.0146945i
$976$	3.04986	+	9.26029i	0.0976237	+	0.296415i
$977$	−16.8294	−	9.71643i	−0.538419	−	0.310856i	0.206019	−	0.978548i	$-0.433949\pi$
$977$	−16.8294	−	9.71643i	−0.538419	−	0.310856i	−0.744438	+	0.667692i	$0.767282\pi$
$978$	16.0228	−	27.2637i	0.512353	−	0.871795i
$979$	−0.305793	−	0.364430i	−0.00977318	−	0.0116472i
$980$	9.47443	+	29.7827i	0.302650	+	0.951373i
$981$	9.49271	−	5.48062i	0.303079	−	0.174983i
$982$	0.284608	−	36.8344i	0.00908220	−	1.17543i
$983$	18.9904	+	3.34852i	0.605699	+	0.106801i	0.468083	−	0.883685i	$-0.344945\pi$
$983$	18.9904	+	3.34852i	0.605699	+	0.106801i	0.137616	+	0.990486i	$0.456056\pi$
$984$	9.21594	+	3.59835i	0.293794	+	0.114711i
$985$	−31.1459	+	16.9335i	−0.992390	+	0.539548i
$986$	36.3333	+	13.5431i	1.15709	+	0.431299i
$987$	1.05069			0.0334439
$988$	−6.31787	+	9.05582i	−0.200998	+	0.288104i
$989$			63.7885i			2.02836i
$990$	0.890217	−	4.22057i	0.0282930	−	0.134138i
$991$	41.4565	−	15.0889i	1.31691	−	0.479316i	0.414443	−	0.910075i	$-0.363976\pi$
$991$	41.4565	−	15.0889i	1.31691	−	0.479316i	0.902467	+	0.430759i	$0.141754\pi$
$992$	11.7671	−	3.77495i	0.373606	−	0.119855i
$993$	−20.4814	−	3.61143i	−0.649959	−	0.114605i
$994$	−0.00592547	+	0.766883i	−0.000187945	+	0.0243241i
$995$	−8.34851	−	10.4834i	−0.264665	−	0.332346i
$996$	−1.98935	−	12.3997i	−0.0630348	−	0.392898i
$997$	−11.8975	+	9.98315i	−0.376796	+	0.316170i	−0.811443	−	0.584431i	$-0.801318\pi$
$997$	−11.8975	+	9.98315i	−0.376796	+	0.316170i	0.434647	+	0.900601i	$0.356873\pi$
$998$	43.5985	+	25.6228i	1.38009	+	0.811076i
$999$	−33.2155	+	57.5310i	−1.05089	+	1.82020i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	760.2.cj.a.149.11	✓	696
5.4	even	2	inner	760.2.cj.a.149.106	yes	696
8.5	even	2	inner	760.2.cj.a.149.77	yes	696
19.6	even	9	inner	760.2.cj.a.709.40	yes	696
40.29	even	2	inner	760.2.cj.a.149.40	yes	696
95.44	even	18	inner	760.2.cj.a.709.77	yes	696
152.101	even	18	inner	760.2.cj.a.709.106	yes	696
760.709	even	18	inner	760.2.cj.a.709.11	yes	696

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
760.2.cj.a.149.11	✓	696	1.1	even	1	trivial
760.2.cj.a.149.40	yes	696	40.29	even	2	inner
760.2.cj.a.149.77	yes	696	8.5	even	2	inner
760.2.cj.a.149.106	yes	696	5.4	even	2	inner
760.2.cj.a.709.11	yes	696	760.709	even	18	inner
760.2.cj.a.709.40	yes	696	19.6	even	9	inner
760.2.cj.a.709.77	yes	696	95.44	even	18	inner
760.2.cj.a.709.106	yes	696	152.101	even	18	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:	\( N \)	\(=\)	\( 760 = 2^{3} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	760.cj (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.32515 - 0.493943i) q^{2} +(-1.32943 + 0.483874i) q^{3} +(1.51204 + 1.30910i) q^{4} +(0.0572752 - 2.23533i) q^{5} +(2.00070 + 0.0154588i) q^{6} +(-0.0930200 + 0.0537051i) q^{7} +(-1.35706 - 2.48161i) q^{8} +(-0.764873 + 0.641805i) q^{9} +O(q^{10})\)	\(q+(-1.32515 - 0.493943i) q^{2} +(-1.32943 + 0.483874i) q^{3} +(1.51204 + 1.30910i) q^{4} +(0.0572752 - 2.23533i) q^{5} +(2.00070 + 0.0154588i) q^{6} +(-0.0930200 + 0.0537051i) q^{7} +(-1.35706 - 2.48161i) q^{8} +(-0.764873 + 0.641805i) q^{9} +(-1.18003 + 2.93386i) q^{10} +(1.18309 + 0.683058i) q^{11} +(-2.64360 - 1.00872i) q^{12} +(-1.19021 - 0.433200i) q^{13} +(0.149793 - 0.0252207i) q^{14} +(1.00548 + 2.99944i) q^{15} +(0.572534 + 3.95881i) q^{16} +(-3.49777 + 4.16848i) q^{17} +(1.33059 - 0.472683i) q^{18} +(-1.90969 - 3.91830i) q^{19} +(3.01287 - 3.30494i) q^{20} +(0.0976774 - 0.116407i) q^{21} +(-1.23038 - 1.48953i) q^{22} +(6.14709 - 1.08390i) q^{23} +(3.00491 + 2.64249i) q^{24} +(-4.99344 - 0.256059i) q^{25} +(1.36323 + 1.16195i) q^{26} +(2.82843 - 4.89898i) q^{27} +(-0.210955 - 0.0405678i) q^{28} +(3.23879 + 3.85984i) q^{29} +(0.149147 - 4.47136i) q^{30} +(1.09229 + 1.89189i) q^{31} +(1.19674 - 5.52882i) q^{32} +(-1.90335 - 0.335613i) q^{33} +(6.69407 - 3.79616i) q^{34} +(0.114721 + 0.211007i) q^{35} +(-1.99670 - 0.0308577i) q^{36} -11.7435 q^{37} +(0.595206 + 6.13561i) q^{38} +1.79192 q^{39} +(-5.62495 + 2.89135i) q^{40} +(2.32333 - 0.845623i) q^{41} +(-0.186936 + 0.106010i) q^{42} +(-1.77457 + 10.0641i) q^{43} +(0.894693 + 2.58159i) q^{44} +(1.39084 + 1.74651i) q^{45} +(-8.68120 - 1.59999i) q^{46} +(4.44443 + 5.29666i) q^{47} +(-2.67671 - 4.98595i) q^{48} +(-3.49423 + 6.05219i) q^{49} +(6.49057 + 2.80579i) q^{50} +(2.63304 - 7.23421i) q^{51} +(-1.23254 - 2.21311i) q^{52} +(1.39114 + 7.88956i) q^{53} +(-6.16790 + 5.09480i) q^{54} +(1.59462 - 2.60548i) q^{55} +(0.259509 + 0.157958i) q^{56} +(4.43477 + 4.28507i) q^{57} +(-2.38534 - 6.71465i) q^{58} +(4.16758 - 4.96673i) q^{59} +(-2.40624 + 5.85155i) q^{60} +(2.40037 - 0.423250i) q^{61} +(-0.512954 - 3.04657i) q^{62} +(0.0366803 - 0.100778i) q^{63} +(-4.31677 + 6.73539i) q^{64} +(-1.03652 + 2.63570i) q^{65} +(2.35646 + 1.38489i) q^{66} +(-9.25287 + 7.76408i) q^{67} +(-10.7457 + 1.72400i) q^{68} +(-7.64768 + 4.41539i) q^{69} +(-0.0477973 - 0.336281i) q^{70} +(-0.876701 + 4.97202i) q^{71} +(2.63069 + 1.02715i) q^{72} +(5.15439 + 14.1616i) q^{73} +(15.5618 + 5.80060i) q^{74} +(6.76235 - 2.07578i) q^{75} +(2.24191 - 8.42460i) q^{76} -0.146735 q^{77} +(-2.37456 - 0.885104i) q^{78} +(-2.24044 + 0.815454i) q^{79} +(8.88206 - 1.05306i) q^{80} +(-0.869568 + 4.93157i) q^{81} +(-3.49645 - 0.0270160i) q^{82} +(2.21915 + 3.84369i) q^{83} +(0.300081 - 0.0481436i) q^{84} +(9.11762 + 8.05744i) q^{85} +(7.32267 - 12.4599i) q^{86} +(-6.17344 - 3.56424i) q^{87} +(0.0895570 - 3.86292i) q^{88} +(-0.327234 - 0.119103i) q^{89} +(-0.980396 - 3.00138i) q^{90} +(0.133978 - 0.0236239i) q^{91} +(10.7136 + 6.40824i) q^{92} +(-2.36756 - 1.98662i) q^{93} +(-3.27328 - 9.21416i) q^{94} +(-8.86809 + 4.04437i) q^{95} +(1.08427 + 7.92927i) q^{96} +(-1.82076 + 2.16989i) q^{97} +(7.61981 - 6.29410i) q^{98} +(-1.34330 + 0.236861i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 696 q - 6 q^{4} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) 696 * q - 6 * q^4 - 18 * q^6 - 24 * q^9	\( 696 q - 6 q^{4} - 18 q^{6} - 24 q^{9} - 15 q^{10} - 42 q^{14} - 12 q^{15} - 6 q^{16} - 42 q^{20} - 36 q^{24} - 12 q^{25} + 18 q^{26} + 18 q^{30} - 84 q^{31} + 12 q^{34} + 30 q^{36} - 48 q^{39} - 18 q^{40} - 24 q^{41} - 36 q^{44} - 6 q^{46} + 264 q^{49} + 6 q^{50} - 60 q^{54} - 42 q^{55} - 108 q^{56} - 30 q^{60} - 30 q^{64} - 6 q^{65} - 48 q^{66} - 63 q^{70} - 24 q^{71} - 126 q^{74} - 48 q^{76} - 24 q^{79} + 45 q^{80} + 12 q^{81} - 126 q^{84} - 6 q^{86} - 24 q^{89} - 66 q^{90} + 36 q^{94} + 48 q^{95} - 72 q^{96}+O(q^{100}) \) 696 * q - 6 * q^4 - 18 * q^6 - 24 * q^9 - 15 * q^10 - 42 * q^14 - 12 * q^15 - 6 * q^16 - 42 * q^20 - 36 * q^24 - 12 * q^25 + 18 * q^26 + 18 * q^30 - 84 * q^31 + 12 * q^34 + 30 * q^36 - 48 * q^39 - 18 * q^40 - 24 * q^41 - 36 * q^44 - 6 * q^46 + 264 * q^49 + 6 * q^50 - 60 * q^54 - 42 * q^55 - 108 * q^56 - 30 * q^60 - 30 * q^64 - 6 * q^65 - 48 * q^66 - 63 * q^70 - 24 * q^71 - 126 * q^74 - 48 * q^76 - 24 * q^79 + 45 * q^80 + 12 * q^81 - 126 * q^84 - 6 * q^86 - 24 * q^89 - 66 * q^90 + 36 * q^94 + 48 * q^95 - 72 * q^96

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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