LMFDB - Embedded newform 805.2.bs.a.37.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [805,2,Mod(37,805)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(805, base_ring=CyclotomicField(132))

chi = DirichletCharacter(H, H._module([33, 44, 126]))

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

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

chi := DirichletCharacter("805.37");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 805 = 5 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	805.bs (of order $132$, degree $40$, 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:	$6.42795736271$
Analytic rank:	$0$
Dimension:	$3680$
Relative dimension:	$92$ over $\Q(\zeta_{132})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{132}]$

Embedding invariants

Embedding label			37.12
Character	$\chi$	$=$	805.37
Dual form			805.2.bs.a.718.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.90357 + 1.16029i) q^{2} +(-0.663296 - 1.36545i) q^{3} +(1.36087 - 2.63972i) q^{4} +(2.13191 - 0.674517i) q^{5} +(2.84695 + 1.82963i) q^{6} +(2.60528 + 0.460985i) q^{7} +(0.154245 + 2.15663i) q^{8} +(0.429976 - 0.546759i) q^{9} +O(q^{10})$	\(q+(-1.90357 + 1.16029i) q^{2} +(-0.663296 - 1.36545i) q^{3} +(1.36087 - 2.63972i) q^{4} +(2.13191 - 0.674517i) q^{5} +(2.84695 + 1.82963i) q^{6} +(2.60528 + 0.460985i) q^{7} +(0.154245 + 2.15663i) q^{8} +(0.429976 - 0.546759i) q^{9} +(-3.27561 + 3.75762i) q^{10} +(4.64639 - 1.12720i) q^{11} +(-4.50707 - 0.107288i) q^{12} +(2.29505 + 0.856010i) q^{13} +(-5.49422 + 2.14536i) q^{14} +(-2.33511 - 2.46362i) q^{15} +(0.649454 + 0.912030i) q^{16} +(4.28527 + 4.71396i) q^{17} +(-0.184093 + 1.53969i) q^{18} +(-0.0245530 - 0.515430i) q^{19} +(1.12071 - 6.54557i) q^{20} +(-1.09862 - 3.86316i) q^{21} +(-7.53686 + 7.53686i) q^{22} +(-4.26685 + 2.18953i) q^{23} +(2.84246 - 1.64110i) q^{24} +(4.09005 - 2.87601i) q^{25} +(-5.36202 + 1.03344i) q^{26} +(-5.48180 - 1.19249i) q^{27} +(4.76232 - 6.24987i) q^{28} +(-2.06283 + 3.20982i) q^{29} +(7.30355 + 1.98028i) q^{30} +(4.96747 + 0.957402i) q^{31} +(-6.26963 - 2.68481i) q^{32} +(-4.62107 - 5.59676i) q^{33} +(-13.6269 - 4.00121i) q^{34} +(5.86516 - 0.774529i) q^{35} +(-0.858149 - 1.87908i) q^{36} +(-5.39981 + 0.645626i) q^{37} +(0.644786 + 0.952670i) q^{38} +(-0.353458 - 3.70158i) q^{39} +(1.78352 + 4.49369i) q^{40} +(-0.797793 - 5.54877i) q^{41} +(6.57369 + 6.07909i) q^{42} +(-0.603971 + 8.44462i) q^{43} +(3.34764 - 13.7991i) q^{44} +(0.547871 - 1.45567i) q^{45} +(5.58177 - 9.11870i) q^{46} +(-5.03453 + 1.34900i) q^{47} +(0.814554 - 1.49175i) q^{48} +(6.57499 + 2.40199i) q^{49} +(-4.44872 + 10.2203i) q^{50} +(3.59428 - 8.97809i) q^{51} +(5.38290 - 4.89338i) q^{52} +(7.52860 + 6.21613i) q^{53} +(11.8186 - 4.09047i) q^{54} +(9.14535 - 5.53716i) q^{55} +(-0.592320 + 5.68972i) q^{56} +(-0.687510 + 0.375409i) q^{57} +(0.202423 - 8.50360i) q^{58} +(-6.05692 - 4.31311i) q^{59} +(-9.68103 + 2.81137i) q^{60} +(-0.597695 + 0.206864i) q^{61} +(-10.5668 + 3.94122i) q^{62} +(1.37226 - 1.22625i) q^{63} +(12.8334 - 1.84516i) q^{64} +(5.47023 + 0.276884i) q^{65} +(15.2904 + 5.29206i) q^{66} +(5.94240 - 0.141455i) q^{67} +(18.2752 - 4.89683i) q^{68} +(5.81988 + 4.37387i) q^{69} +(-10.2661 + 8.27965i) q^{70} +(-12.1961 + 3.58109i) q^{71} +(1.24548 + 0.842963i) q^{72} +(-3.51643 + 1.12408i) q^{73} +(9.52982 - 7.49433i) q^{74} +(-6.63998 - 3.67713i) q^{75} +(-1.39400 - 0.636620i) q^{76} +(12.6248 - 0.794764i) q^{77} +(4.96773 + 6.63611i) q^{78} +(11.3215 + 1.08107i) q^{79} +(1.99975 + 1.50630i) q^{80} +(1.51580 + 6.24821i) q^{81} +(7.95683 + 9.63682i) q^{82} +(-3.72964 + 2.79197i) q^{83} +(-11.6927 - 2.35721i) q^{84} +(12.3154 + 7.15923i) q^{85} +(-8.64849 - 16.7757i) q^{86} +(5.75112 + 0.687631i) q^{87} +(3.14763 + 9.84666i) q^{88} +(-5.28562 + 1.01872i) q^{89} +(0.646079 + 3.40666i) q^{90} +(5.58465 + 3.28813i) q^{91} +(-0.0268832 + 14.2429i) q^{92} +(-1.98762 - 7.41789i) q^{93} +(8.01838 - 8.40943i) q^{94} +(-0.400011 - 1.08229i) q^{95} +(0.492637 + 10.3417i) q^{96} +(8.29548 + 6.20992i) q^{97} +(-15.3030 + 3.05652i) q^{98} +(1.38153 - 3.02512i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 3680 q - 18 q^{2} - 18 q^{3} - 22 q^{5} - 160 q^{6} - 44 q^{7} - 56 q^{8}+O(q^{10}) $ 3680 * q - 18 * q^2 - 18 * q^3 - 22 * q^5 - 160 * q^6 - 44 * q^7 - 56 * q^8	$ 3680 q - 18 q^{2} - 18 q^{3} - 22 q^{5} - 160 q^{6} - 44 q^{7} - 56 q^{8} - 22 q^{10} - 44 q^{11} + 14 q^{12} - 72 q^{13} - 88 q^{15} - 196 q^{16} - 22 q^{17} - 62 q^{18} - 88 q^{20} - 88 q^{21} - 44 q^{23} - 30 q^{25} - 28 q^{26} - 48 q^{27} + 132 q^{28} - 22 q^{30} - 40 q^{31} - 50 q^{32} - 22 q^{33} - 40 q^{35} - 416 q^{36} - 110 q^{37} - 22 q^{38} - 22 q^{40} - 192 q^{41} - 264 q^{42} - 88 q^{43} - 44 q^{47} + 24 q^{48} - 44 q^{51} - 374 q^{52} - 22 q^{53} - 32 q^{55} - 220 q^{56} + 88 q^{57} - 58 q^{58} - 22 q^{60} - 220 q^{61} + 8 q^{62} - 44 q^{63} - 22 q^{65} - 44 q^{66} - 22 q^{67} - 96 q^{70} - 136 q^{71} - 46 q^{72} + 18 q^{73} - 34 q^{75} - 176 q^{76} - 116 q^{77} + 80 q^{78} + 176 q^{80} - 236 q^{81} - 2 q^{82} - 88 q^{83} - 448 q^{85} - 86 q^{87} - 110 q^{88} - 88 q^{90} - 228 q^{92} + 4 q^{93} - 236 q^{95} - 332 q^{96} - 88 q^{97} + 84 q^{98}+O(q^{100}) $ 3680 * q - 18 * q^2 - 18 * q^3 - 22 * q^5 - 160 * q^6 - 44 * q^7 - 56 * q^8 - 22 * q^10 - 44 * q^11 + 14 * q^12 - 72 * q^13 - 88 * q^15 - 196 * q^16 - 22 * q^17 - 62 * q^18 - 88 * q^20 - 88 * q^21 - 44 * q^23 - 30 * q^25 - 28 * q^26 - 48 * q^27 + 132 * q^28 - 22 * q^30 - 40 * q^31 - 50 * q^32 - 22 * q^33 - 40 * q^35 - 416 * q^36 - 110 * q^37 - 22 * q^38 - 22 * q^40 - 192 * q^41 - 264 * q^42 - 88 * q^43 - 44 * q^47 + 24 * q^48 - 44 * q^51 - 374 * q^52 - 22 * q^53 - 32 * q^55 - 220 * q^56 + 88 * q^57 - 58 * q^58 - 22 * q^60 - 220 * q^61 + 8 * q^62 - 44 * q^63 - 22 * q^65 - 44 * q^66 - 22 * q^67 - 96 * q^70 - 136 * q^71 - 46 * q^72 + 18 * q^73 - 34 * q^75 - 176 * q^76 - 116 * q^77 + 80 * q^78 + 176 * q^80 - 236 * q^81 - 2 * q^82 - 88 * q^83 - 448 * q^85 - 86 * q^87 - 110 * q^88 - 88 * q^90 - 228 * q^92 + 4 * q^93 - 236 * q^95 - 332 * q^96 - 88 * q^97 + 84 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/805\mathbb{Z}\right)^\times$.

$n$	$162$	$281$	$346$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−1.90357	+	1.16029i	−1.34603	+	0.820448i	−0.993332	−	0.115289i	$-0.963221\pi$
$2$	−1.90357	+	1.16029i	−1.34603	+	0.820448i	−0.352698	+	0.935737i	$0.614736\pi$
$3$	−0.663296	−	1.36545i	−0.382954	−	0.788345i	−0.999999	−	0.00141677i	$-0.999549\pi$
$3$	−0.663296	−	1.36545i	−0.382954	−	0.788345i	0.617045	−	0.786928i	$-0.288330\pi$
$4$	1.36087	−	2.63972i	0.680435	−	1.31986i
$5$	2.13191	−	0.674517i	0.953418	−	0.301653i
$5$	2.13191	−	0.674517i	0.953418	−	0.301653i
$6$	2.84695	+	1.82963i	1.16226	+	0.746942i
$7$	2.60528	+	0.460985i	0.984704	+	0.174236i
$7$	2.60528	+	0.460985i	0.984704	+	0.174236i
$8$	0.154245	+	2.15663i	0.0545338	+	0.762482i
$9$	0.429976	−	0.546759i	0.143325	−	0.182253i
$10$	−3.27561	+	3.75762i	−1.03584	+	1.18826i
$11$	4.64639	−	1.12720i	1.40094	−	0.339864i	0.537052	−	0.843549i	$-0.319538\pi$
$11$	4.64639	−	1.12720i	1.40094	−	0.339864i	0.863887	+	0.503685i	$0.168023\pi$
$12$	−4.50707	−	0.107288i	−1.30108	−	0.0309715i
$13$	2.29505	+	0.856010i	0.636533	+	0.237415i	0.646951	−	0.762531i	$-0.276044\pi$
$13$	2.29505	+	0.856010i	0.636533	+	0.237415i	−0.0104185	+	0.999946i	$0.503316\pi$
$14$	−5.49422	+	2.14536i	−1.46839	+	0.573372i
$15$	−2.33511	−	2.46362i	−0.602922	−	0.636103i
$16$	0.649454	+	0.912030i	0.162363	+	0.228008i
$17$	4.28527	+	4.71396i	1.03933	+	1.14330i	0.989498	+	0.144545i	$0.0461718\pi$
$17$	4.28527	+	4.71396i	1.03933	+	1.14330i	0.0498326	+	0.998758i	$0.484131\pi$
$18$	−0.184093	+	1.53969i	−0.0433911	+	0.362909i
$19$	−0.0245530	−	0.515430i	−0.00563283	−	0.118248i	−0.999932	−	0.0116254i	$-0.996299\pi$
$19$	−0.0245530	−	0.515430i	−0.00563283	−	0.118248i	0.994300	−	0.106622i	$-0.0340036\pi$
$20$	1.12071	−	6.54557i	0.250599	−	1.46363i
$21$	−1.09862	−	3.86316i	−0.239739	−	0.843011i
$22$	−7.53686	+	7.53686i	−1.60686	+	1.60686i
$23$	−4.26685	+	2.18953i	−0.889699	+	0.456548i
$23$	−4.26685	+	2.18953i	−0.889699	+	0.456548i
$24$	2.84246	−	1.64110i	0.580215	−	0.334987i
$25$	4.09005	−	2.87601i	0.818011	−	0.575203i
$26$	−5.36202	+	1.03344i	−1.05158	+	0.202675i
$27$	−5.48180	−	1.19249i	−1.05497	−	0.229495i
$28$	4.76232	−	6.24987i	0.899994	−	1.18112i
$29$	−2.06283	+	3.20982i	−0.383057	+	0.596049i	−0.978224	−	0.207554i	$-0.933450\pi$
$29$	−2.06283	+	3.20982i	−0.383057	+	0.596049i	0.595166	+	0.803602i	$0.297086\pi$
$30$	7.30355	+	1.98028i	1.33344	+	0.361547i
$31$	4.96747	+	0.957402i	0.892184	+	0.171954i	0.614686	−	0.788772i	$-0.289283\pi$
$31$	4.96747	+	0.957402i	0.892184	+	0.171954i	0.277498	+	0.960726i	$0.410495\pi$
$32$	−6.26963	−	2.68481i	−1.10832	−	0.474612i
$33$	−4.62107	−	5.59676i	−0.804426	−	0.974271i
$34$	−13.6269	−	4.00121i	−2.33699	−	0.686202i
$35$	5.86516	−	0.774529i	0.991393	−	0.130919i
$36$	−0.858149	−	1.87908i	−0.143025	−	0.313181i
$37$	−5.39981	+	0.645626i	−0.887723	+	0.106140i	−0.550058	−	0.835126i	$-0.685395\pi$
$37$	−5.39981	+	0.645626i	−0.887723	+	0.106140i	−0.337665	+	0.941266i	$0.609637\pi$
$38$	0.644786	+	0.952670i	0.104598	+	0.154544i
$39$	−0.353458	−	3.70158i	−0.0565985	−	0.592726i
$40$	1.78352	+	4.49369i	0.281999	+	0.710514i
$41$	−0.797793	−	5.54877i	−0.124594	−	0.866572i	−0.952246	−	0.305331i	$-0.901233\pi$
$41$	−0.797793	−	5.54877i	−0.124594	−	0.866572i	0.827652	−	0.561241i	$-0.189676\pi$
$42$	6.57369	+	6.07909i	1.01434	+	0.938024i
$43$	−0.603971	+	8.44462i	−0.0921047	+	1.28779i	0.715727	+	0.698380i	$0.246095\pi$
$43$	−0.603971	+	8.44462i	−0.0921047	+	1.28779i	−0.807832	+	0.589413i	$0.799359\pi$
$44$	3.34764	−	13.7991i	0.504675	−	2.08030i
$45$	0.547871	−	1.45567i	0.0816718	−	0.216998i
$46$	5.58177	−	9.11870i	0.822987	−	1.34448i
$47$	−5.03453	+	1.34900i	−0.734362	+	0.196772i	−0.606571	−	0.795029i	$-0.707455\pi$
$47$	−5.03453	+	1.34900i	−0.734362	+	0.196772i	−0.127791	+	0.991801i	$0.540789\pi$
$48$	0.814554	−	1.49175i	0.117571	−	0.215315i
$49$	6.57499	+	2.40199i	0.939284	+	0.343141i
$50$	−4.44872	+	10.2203i	−0.629143	+	1.44538i
$51$	3.59428	−	8.97809i	0.503300	−	1.25718i
$52$	5.38290	−	4.89338i	0.746473	−	0.678589i
$53$	7.52860	+	6.21613i	1.03413	+	0.853852i	0.989410	−	0.145148i	$-0.0463658\pi$
$53$	7.52860	+	6.21613i	1.03413	+	0.853852i	0.0447222	+	0.998999i	$0.485760\pi$
$54$	11.8186	−	4.09047i	1.60831	−	0.556643i
$55$	9.14535	−	5.53716i	1.23316	−	0.746630i
$56$	−0.592320	+	5.68972i	−0.0791521	+	0.760321i
$57$	−0.687510	+	0.375409i	−0.0910629	+	0.0497241i
$58$	0.202423	−	8.50360i	0.0265795	−	1.11658i
$59$	−6.05692	−	4.31311i	−0.788544	−	0.561520i	0.113310	−	0.993560i	$-0.463855\pi$
$59$	−6.05692	−	4.31311i	−0.788544	−	0.561520i	−0.901854	+	0.432040i	$0.857794\pi$
$60$	−9.68103	+	2.81137i	−1.24982	+	0.362946i
$61$	−0.597695	+	0.206864i	−0.0765270	+	0.0264863i	−0.365063	−	0.930983i	$-0.618953\pi$
$61$	−0.597695	+	0.206864i	−0.0765270	+	0.0264863i	0.288536	+	0.957469i	$0.406831\pi$
$62$	−10.5668	+	3.94122i	−1.34199	+	0.500535i
$63$	1.37226	−	1.22625i	0.172888	−	0.154493i
$64$	12.8334	−	1.84516i	1.60417	−	0.230645i
$65$	5.47023	+	0.276884i	0.678499	+	0.0343432i
$66$	15.2904	+	5.29206i	1.88212	+	0.651408i
$67$	5.94240	−	0.141455i	0.725979	−	0.0172815i	0.340816	−	0.940130i	$-0.389297\pi$
$67$	5.94240	−	0.141455i	0.725979	−	0.0172815i	0.385163	+	0.922848i	$0.374145\pi$
$68$	18.2752	−	4.89683i	2.21620	−	0.593828i
$69$	5.81988	+	4.37387i	0.700631	+	0.526552i
$70$	−10.2661	+	8.27965i	−1.22703	+	0.989608i
$71$	−12.1961	+	3.58109i	−1.44741	+	0.424997i	−0.908684	−	0.417485i	$-0.862912\pi$
$71$	−12.1961	+	3.58109i	−1.44741	+	0.424997i	−0.538724	+	0.842482i	$0.681093\pi$
$72$	1.24548	+	0.842963i	0.146781	+	0.0993441i
$73$	−3.51643	+	1.12408i	−0.411566	+	0.131564i	−0.503079	−	0.864240i	$-0.667800\pi$
$73$	−3.51643	+	1.12408i	−0.411566	+	0.131564i	0.0915125	+	0.995804i	$0.470830\pi$
$74$	9.52982	−	7.49433i	1.10782	−	0.871199i
$75$	−6.63998	−	3.67713i	−0.766719	−	0.424598i
$76$	−1.39400	−	0.636620i	−0.159903	−	0.0730254i
$77$	12.6248	−	0.794764i	1.43873	−	0.0905718i
$78$	4.96773	+	6.63611i	0.562485	+	0.751391i
$79$	11.3215	+	1.08107i	1.27377	+	0.121630i	0.709940	−	0.704262i	$-0.248722\pi$
$79$	11.3215	+	1.08107i	1.27377	+	0.121630i	0.563828	+	0.825892i	$0.309328\pi$
$80$	1.99975	+	1.50630i	0.223579	+	0.168409i
$81$	1.51580	+	6.24821i	0.168422	+	0.694246i
$82$	7.95683	+	9.63682i	0.878685	+	1.06421i
$83$	−3.72964	+	2.79197i	−0.409381	+	0.306459i	−0.784048	−	0.620701i	$-0.786848\pi$
$83$	−3.72964	+	2.79197i	−0.409381	+	0.306459i	0.374666	+	0.927160i	$0.377757\pi$
$84$	−11.6927	−	2.35721i	−1.27578	−	0.257193i
$85$	12.3154	+	7.15923i	1.33580	+	0.776528i
$86$	−8.64849	−	16.7757i	−0.932591	−	1.80897i
$87$	5.75112	+	0.687631i	0.616585	+	0.0737218i
$88$	3.14763	+	9.84666i	0.335539	+	1.04966i
$89$	−5.28562	+	1.01872i	−0.560274	+	0.107984i	−0.461523	−	0.887128i	$-0.652697\pi$
$89$	−5.28562	+	1.01872i	−0.560274	+	0.107984i	−0.0987512	+	0.995112i	$0.531485\pi$
$90$	0.646079	+	3.40666i	0.0681028	+	0.359093i
$91$	5.58465	+	3.28813i	0.585430	+	0.344690i
$92$	−0.0268832	+	14.2429i	−0.00280277	+	1.48493i
$93$	−1.98762	−	7.41789i	−0.206106	−	0.769200i
$94$	8.01838	−	8.40943i	0.827033	−	0.867367i
$95$	−0.400011	−	1.08229i	−0.0410402	−	0.111040i
$96$	0.492637	+	10.3417i	0.0502795	+	1.05550i
$97$	8.29548	+	6.20992i	0.842278	+	0.630521i	0.930790	−	0.365554i	$-0.119120\pi$
$97$	8.29548	+	6.20992i	0.842278	+	0.630521i	−0.0885123	+	0.996075i	$0.528211\pi$
$98$	−15.3030	+	3.05652i	−1.54583	+	0.308755i
$99$	1.38153	−	3.02512i	0.138849	−	0.304036i
$100$	−2.02584	−	14.7105i	−0.202584	−	1.47105i
$101$	2.01836	−	0.808028i	0.200834	−	0.0804018i	−0.269065	−	0.963122i	$-0.586715\pi$
$101$	2.01836	−	0.808028i	0.200834	−	0.0804018i	0.469899	+	0.882720i	$0.344290\pi$
$102$	3.57519	+	21.2609i	0.353996	+	2.10514i
$103$	−1.72526	−	0.0410688i	−0.169995	−	0.00404663i	−0.0612858	−	0.998120i	$-0.519520\pi$
$103$	−1.72526	−	0.0410688i	−0.169995	−	0.00404663i	−0.108709	+	0.994074i	$0.534672\pi$
$104$	−1.49209	+	5.08161i	−0.146312	+	0.498292i
$105$	−4.94792	−	7.49486i	−0.482868	−	0.731423i
$106$	−21.5437	−	3.09752i	−2.09251	−	0.300858i
$107$	−18.3766	−	8.92679i	−1.77653	−	0.862986i	−0.957073	−	0.289846i	$-0.906396\pi$
$107$	−18.3766	−	8.92679i	−1.77653	−	0.862986i	−0.819458	−	0.573139i	$-0.805725\pi$
$108$	−10.6079	+	12.8476i	−1.02074	+	1.23626i
$109$	0.235968	−	4.95359i	0.0226017	−	0.474468i	−0.958986	−	0.283454i	$-0.908520\pi$
$109$	0.235968	−	4.95359i	0.0226017	−	0.474468i	0.981587	−	0.191013i	$-0.0611774\pi$
$110$	−10.9842	+	21.1516i	−1.04730	+	2.01673i
$111$	4.46324	+	6.94494i	0.423632	+	0.659185i
$112$	1.27158	+	2.67548i	0.120153	+	0.252809i
$113$	−8.73288	−	4.76851i	−0.821521	−	0.448584i	0.0127638	−	0.999919i	$-0.495937\pi$
$113$	−8.73288	−	4.76851i	−0.821521	−	0.448584i	−0.834284	+	0.551334i	$0.814119\pi$
$114$	0.873143	−	1.51233i	0.0817773	−	0.141642i
$115$	−7.61964	+	7.54593i	−0.710536	+	0.703661i
$116$	5.66579	+	9.81343i	0.526055	+	0.911154i
$117$	1.45485	−	0.886777i	0.134501	−	0.0819825i
$118$	16.5343	+	1.18255i	1.52210	+	0.108863i
$119$	8.99128	+	14.2566i	0.824229	+	1.30690i
$120$	4.95292	−	5.41595i	0.452138	−	0.494407i
$121$	10.5412	−	5.43434i	0.958287	−	0.494031i
$122$	0.897734	−	1.08728i	0.0812771	−	0.0984377i
$123$	−7.04741	+	4.76983i	−0.635444	+	0.430081i
$124$	9.28736	−	11.8098i	0.834029	−	1.06055i
$125$	6.77970	−	8.89020i	0.606395	−	0.795164i
$126$	−1.18939	+	3.92647i	−0.105959	+	0.349798i
$127$	−6.87958	−	12.5990i	−0.610464	−	1.11798i	−0.981878	−	0.189514i	$-0.939309\pi$
$127$	−6.87958	−	12.5990i	−0.610464	−	1.11798i	0.371414	−	0.928468i	$-0.378873\pi$
$128$	−11.7698	+	9.71799i	−1.04032	+	0.858957i
$129$	11.9313	−	4.77659i	1.05050	−	0.420555i
$130$	−10.7343	+	5.81998i	−0.941456	+	0.510446i
$131$	7.05821	+	9.91187i	0.616679	+	0.866004i	0.998298	−	0.0583154i	$-0.0185729\pi$
$131$	7.05821	+	9.91187i	0.616679	+	0.866004i	−0.381619	+	0.924320i	$0.624634\pi$
$132$	−21.0626	+	4.58188i	−1.83326	+	0.398801i
$133$	0.173638	−	1.35416i	0.0150563	−	0.117420i
$134$	−11.1477	+	7.16417i	−0.963011	+	0.618890i
$135$	−12.4910	+	1.15528i	−1.07506	+	0.0994308i
$136$	−9.50526	+	9.96883i	−0.815069	+	0.854820i
$137$	−12.4262	−	3.32958i	−1.06164	−	0.284465i	−0.314585	−	0.949229i	$-0.601865\pi$
$137$	−12.4262	−	3.32958i	−1.06164	−	0.284465i	−0.747053	+	0.664764i	$0.768532\pi$
$138$	−16.1535	−	1.57325i	−1.37508	−	0.133924i
$139$		−	5.02885i		−	0.426541i	−0.976993	−	0.213271i	$-0.931588\pi$
$139$		−	5.02885i		−	0.426541i	0.976993	−	0.213271i	$-0.0684116\pi$
$140$	5.93718	−	16.5364i	0.501783	−	1.39758i
$141$	5.18138	+	5.97964i	0.436351	+	0.503576i
$142$	19.0610	−	20.9678i	1.59957	−	1.75958i
$143$	11.6286	+	1.39037i	0.972432	+	0.116269i
$144$	0.777910	+	0.0370564i	0.0648259	+	0.00308804i
$145$	−2.23268	+	8.23445i	−0.185414	+	0.683834i
$146$	5.38952	−	6.21984i	0.446040	−	0.514757i
$147$	−1.08136	−	10.5711i	−0.0891890	−	0.871887i
$148$	−5.64417	+	15.1326i	−0.463948	+	1.24389i
$149$	1.40723	−	1.34179i	0.115285	−	0.109924i	−0.630245	−	0.776397i	$-0.717045\pi$
$149$	1.40723	−	1.34179i	0.115285	−	0.109924i	0.745529	+	0.666473i	$0.232197\pi$
$150$	16.9062	−	0.704605i	1.38039	−	0.0575308i
$151$	10.6596	−	14.9693i	0.867463	−	1.21818i	−0.107140	−	0.994244i	$-0.534169\pi$
$151$	10.6596	−	14.9693i	0.867463	−	1.21818i	0.974603	−	0.223938i	$-0.0718913\pi$
$152$	1.10780	−	0.132454i	0.0898547	−	0.0107434i
$153$	4.41996	−	0.316122i	0.357333	−	0.0255569i
$154$	−23.1100	+	16.1613i	−1.86226	+	1.30231i
$155$	11.2360	−	1.30955i	0.902495	−	0.105186i
$156$	−10.2521	−	4.10433i	−0.820827	−	0.328610i
$157$	4.33102	−	1.38448i	0.345653	−	0.110493i	−0.126606	−	0.991953i	$-0.540408\pi$
$157$	4.33102	−	1.38448i	0.345653	−	0.110493i	0.472259	+	0.881460i	$0.343439\pi$
$158$	−22.8057	+	11.0783i	−1.81432	+	0.881343i
$159$	3.49415	−	14.4031i	0.277104	−	1.14224i
$160$	−15.1772	−	1.49480i	−1.19986	−	0.118174i
$161$	−12.1257	+	3.73739i	−0.955637	+	0.294547i
$162$	−10.1352	−	10.1352i	−0.796294	−	0.796294i
$163$	−2.37812	−	3.90155i	−0.186269	−	0.305593i	0.746965	−	0.664864i	$-0.231510\pi$
$163$	−2.37812	−	3.90155i	−0.186269	−	0.305593i	−0.933233	+	0.359271i	$0.883025\pi$
$164$	−15.7329	−	5.44521i	−1.22853	−	0.425199i
$165$	−13.6268	−	8.81478i	−1.06085	−	0.686229i
$166$	3.86015	−	9.64219i	0.299606	−	0.748379i
$167$	−4.15665	−	19.1078i	−0.321651	−	1.47861i	−0.799767	−	0.600311i	$-0.795044\pi$
$167$	−4.15665	−	19.1078i	−0.321651	−	1.47861i	0.478116	−	0.878297i	$-0.341320\pi$
$168$	8.16194	−	2.96519i	0.629707	−	0.228769i
$169$	−5.29023	−	4.58401i	−0.406941	−	0.352616i
$170$	−31.7501	+	0.661342i	−2.43512	+	0.0507226i
$171$	−0.292373	−	0.208198i	−0.0223583	−	0.0159213i
$172$	21.4695	+	13.0863i	1.63703	+	0.997824i
$173$	−0.00170483	+	0.0716183i	−0.000129616	+	0.00544504i	−0.999778	−	0.0210751i	$-0.993291\pi$
$173$	−0.00170483	+	0.0716183i	−0.000129616	+	0.00544504i	0.999648	+	0.0265201i	$0.00844261\pi$
$174$	−11.7455	+	5.36401i	−0.890427	+	0.406644i
$175$	11.9815	−	5.60737i	0.905720	−	0.423877i
$176$	4.04566	+	3.50558i	0.304953	+	0.264243i
$177$	−1.87182	+	11.1313i	−0.140695	+	0.836681i
$178$	8.87956	−	8.07205i	0.665551	−	0.605026i
$179$	−15.9055	−	20.2255i	−1.18883	−	1.51173i	−0.810173	−	0.586191i	$-0.800627\pi$
$179$	−15.9055	−	20.2255i	−1.18883	−	1.51173i	−0.378662	−	0.925535i	$-0.623616\pi$
$180$	−3.09697	−	3.42720i	−0.230834	−	0.255448i
$181$	−19.0260	+	16.4861i	−1.41419	+	1.22540i	−0.475926	+	0.879485i	$0.657887\pi$
$181$	−19.0260	+	16.4861i	−1.41419	+	1.22540i	−0.938265	+	0.345918i	$0.887568\pi$
$182$	−14.4460	+	0.220606i	−1.07081	+	0.0163524i
$183$	0.678912	+	0.678912i	0.0501866	+	0.0501866i
$184$	−5.38013	−	8.86427i	−0.396629	−	0.653482i
$185$	−11.0764	+	5.01867i	−0.814353	+	0.368980i
$186$	12.3905	+	11.8143i	0.908514	+	0.866266i
$187$	25.2246	+	17.0725i	1.84461	+	1.24847i
$188$	−3.29037	+	15.1256i	−0.239975	+	1.10315i
$189$	−13.7319	−	5.63380i	−0.998850	−	0.409799i
$190$	2.01722	+	1.59609i	0.146344	+	0.115792i
$191$	−3.01697	+	2.14837i	−0.218300	+	0.155451i	−0.683976	−	0.729505i	$-0.739751\pi$
$191$	−3.01697	+	2.14837i	−0.218300	+	0.155451i	0.465676	+	0.884955i	$0.345811\pi$
$192$	−11.0318	−	16.2995i	−0.796153	−	1.17631i
$193$	8.40137	−	19.6191i	0.604744	−	1.41221i	−0.286232	−	0.958160i	$-0.592403\pi$
$193$	8.40137	−	19.6191i	0.604744	−	1.41221i	0.890976	−	0.454051i	$-0.150022\pi$
$194$	−22.9963	−	2.19588i	−1.65104	−	0.157655i
$195$	−3.25031	−	7.65300i	−0.232760	−	0.548043i
$196$	15.2883	−	14.0873i	1.09202	−	1.00624i
$197$	3.76387	−	10.0913i	0.268164	−	0.718976i	−0.731159	−	0.682207i	$-0.761020\pi$
$197$	3.76387	−	10.0913i	0.268164	−	0.718976i	0.999324	−	0.0367697i	$-0.0117068\pi$
$198$	0.880177	+	7.36152i	0.0625515	+	0.523160i
$199$	−6.28479	−	1.21129i	−0.445517	−	0.0858664i	−0.0384415	−	0.999261i	$-0.512239\pi$
$199$	−6.28479	−	1.21129i	−0.445517	−	0.0858664i	−0.407076	+	0.913394i	$0.633451\pi$
$200$	6.83336	+	8.37711i	0.483191	+	0.592351i
$201$	−4.13472	−	8.02024i	−0.291641	−	0.565704i
$202$	−2.90454	+	3.88002i	−0.204363	+	0.272997i
$203$	−6.85392	+	7.41155i	−0.481051	+	0.520189i
$204$	−18.8083	−	21.7059i	−1.31684	−	1.51972i
$205$	−5.44356	−	11.2913i	−0.380194	−	0.788621i
$206$	3.33180	−	1.92362i	0.232138	−	0.134025i
$207$	−0.637497	+	3.27438i	−0.0443091	+	0.227585i
$208$	0.709823	+	2.64910i	0.0492174	+	0.183682i
$209$	−0.695076	−	2.36721i	−0.0480794	−	0.163743i
$210$	18.1149	+	8.52600i	1.25005	+	0.588350i
$211$	6.34119	−	4.07523i	0.436545	−	0.280551i	−0.303853	−	0.952719i	$-0.598273\pi$
$211$	6.34119	−	4.07523i	0.436545	−	0.280551i	0.740398	+	0.672168i	$0.234637\pi$
$212$	26.6543	−	11.4140i	1.83062	−	0.783919i
$213$	12.9794	+	14.2778i	0.889336	+	0.978302i
$214$	45.3388	−	4.32933i	3.09930	−	0.295947i
$215$	4.40842	+	18.4105i	0.300652	+	1.25559i
$216$	1.72622	−	12.0061i	0.117454	−	0.816914i
$217$	12.5003	+	4.78423i	0.848577	+	0.324775i
$218$	5.29841	+	9.70331i	0.358853	+	0.657191i
$219$	3.86731	+	4.05592i	0.261329	+	0.274074i
$220$	−2.17090	−	31.6765i	−0.146362	−	2.13563i
$221$	5.79973	+	14.4870i	0.390132	+	0.974502i
$222$	−16.5543	−	8.04156i	−1.11105	−	0.539714i
$223$	−3.56314	−	9.55315i	−0.238606	−	0.639726i	0.761357	−	0.648332i	$-0.224533\pi$
$223$	−3.56314	−	9.55315i	−0.238606	−	0.639726i	−0.999963	+	0.00860608i	$0.997261\pi$
$224$	−15.0965	−	9.88490i	−1.00868	−	0.660463i
$225$	0.186140	−	3.47289i	0.0124093	−	0.231526i
$226$	22.1565	−	1.05545i	1.47383	−	0.0702072i
$227$	6.71126	+	13.8157i	0.445442	+	0.916981i	0.996585	+	0.0825707i	$0.0263130\pi$
$227$	6.71126	+	13.8157i	0.445442	+	0.916981i	−0.551143	+	0.834411i	$0.685808\pi$
$228$	0.0553624	+	2.32572i	0.00366646	+	0.154024i
$229$	−9.29742	+	16.1036i	−0.614391	+	1.06416i	0.376100	+	0.926579i	$0.377265\pi$
$229$	−9.29742	+	16.1036i	−0.614391	+	1.06416i	−0.990491	+	0.137577i	$0.956068\pi$
$230$	5.74910	−	23.2052i	0.379085	−	1.53011i
$231$	−9.45918	−	16.7114i	−0.622368	−	1.09953i
$232$	−7.24056	−	3.95365i	−0.475366	−	0.259570i
$233$	4.54923	−	6.72148i	0.298030	−	0.440339i	−0.649331	−	0.760506i	$-0.724951\pi$
$233$	4.54923	−	6.72148i	0.298030	−	0.440339i	0.947361	+	0.320167i	$0.103739\pi$
$234$	−1.74050	+	3.37609i	−0.113780	+	0.220702i
$235$	−9.82324	+	6.27182i	−0.640797	+	0.409128i
$236$	−19.6281	+	10.1190i	−1.27768	+	0.658690i
$237$	−6.03336	−	16.1761i	−0.391909	−	1.05075i
$238$	−33.6574	−	16.7061i	−2.18168	−	1.08289i
$239$	−22.4519	−	3.22809i	−1.45229	−	0.208808i	−0.629432	−	0.777055i	$-0.716712\pi$
$239$	−22.4519	−	3.22809i	−1.45229	−	0.208808i	−0.822858	+	0.568248i	$0.807622\pi$
$240$	0.730348	−	3.72969i	0.0471437	−	0.240751i
$241$	−19.2522	+	4.67054i	−1.24014	+	0.300856i	−0.801604	−	0.597856i	$-0.796020\pi$
$241$	−19.2522	+	4.67054i	−1.24014	+	0.300856i	−0.438541	+	0.898711i	$0.644504\pi$
$242$	−13.7605	+	22.5755i	−0.884556	+	1.45121i
$243$	−5.45174	+	4.50134i	−0.349729	+	0.288761i
$244$	−0.267322	+	1.85926i	−0.0171135	+	0.119027i
$245$	15.6374	+	0.685882i	0.999039	+	0.0438194i
$246$	7.88089	−	17.2568i	0.502467	−	1.10025i
$247$	0.384863	−	1.20396i	0.0244882	−	0.0766059i
$248$	−1.29855	+	10.8607i	−0.0824580	+	0.689652i
$249$	6.28617	+	3.24074i	0.398370	+	0.205374i
$250$	−2.59045	+	24.7896i	−0.163835	+	1.56783i
$251$	1.04938	+	3.57386i	0.0662363	+	0.225580i	0.985959	−	0.166989i	$-0.0534045\pi$
$251$	1.04938	+	3.57386i	0.0662363	+	0.225580i	−0.919722	+	0.392569i	$0.871586\pi$
$252$	−1.36949	−	5.29114i	−0.0862698	−	0.333310i
$253$	−17.3574	+	14.9830i	−1.09125	+	0.941973i
$254$	27.7143	+	16.0009i	1.73895	+	1.00398i
$255$	1.60681	−	21.5649i	0.100622	−	1.35044i
$256$	2.64796	−	7.65079i	0.165498	−	0.478174i
$257$	13.4565	−	14.8026i	0.839393	−	0.923363i	−0.158558	−	0.987350i	$-0.550684\pi$
$257$	13.4565	−	14.8026i	0.839393	−	0.923363i	0.997951	+	0.0639865i	$0.0203814\pi$
$258$	−17.1700	+	22.9364i	−1.06896	+	1.42796i
$259$	−14.3656	−	0.807191i	−0.892638	−	0.0501564i
$260$	8.17517	−	14.0631i	0.507002	−	0.872155i
$261$	0.868032	+	2.50801i	0.0537298	+	0.155242i
$262$	−24.9365	−	10.6784i	−1.54058	−	0.659715i
$263$	−20.5129	+	3.44942i	−1.26488	+	0.212700i	−0.759677	−	0.650300i	$-0.774643\pi$
$263$	−20.5129	+	3.44942i	−1.26488	+	0.212700i	−0.505203	+	0.863000i	$0.668583\pi$
$264$	11.3573	−	10.8292i	0.698996	−	0.666491i
$265$	20.2432	+	8.17406i	1.24353	+	0.502128i
$266$	1.24068	+	2.77921i	0.0760711	+	0.170404i
$267$	4.89694	+	6.54155i	0.299688	+	0.400336i
$268$	7.71343	−	15.8788i	0.471172	−	0.969950i
$269$	2.00201	+	20.9660i	0.122064	+	1.27832i	0.824210	+	0.566284i	$0.191619\pi$
$269$	2.00201	+	20.9660i	0.122064	+	1.27832i	−0.702146	+	0.712033i	$0.747775\pi$
$270$	22.4372	−	16.6924i	1.36548	−	1.01587i
$271$	−21.3084	−	8.53061i	−1.29440	−	0.518198i	−0.380738	−	0.924683i	$-0.624330\pi$
$271$	−21.3084	−	8.53061i	−1.29440	−	0.518198i	−0.913657	+	0.406485i	$0.866754\pi$
$272$	−1.51619	+	6.96979i	−0.0919323	+	0.422606i
$273$	0.785513	−	9.80659i	0.0475414	−	0.593522i
$274$	27.5174	−	8.07983i	1.66239	−	0.488121i
$275$	15.7621	−	17.9734i	0.950493	−	1.08384i
$276$	19.4659	−	9.41058i	1.17171	−	0.566450i
$277$	2.30295	−	8.59472i	0.138371	−	0.516407i	−0.861590	−	0.507604i	$-0.830531\pi$
$277$	2.30295	−	8.59472i	0.138371	−	0.516407i	0.999961	−	0.00880274i	$-0.00280204\pi$
$278$	5.83492	+	9.57278i	0.349955	+	0.574137i
$279$	2.65936	−	2.30435i	0.159212	−	0.137958i
$280$	2.57504	+	12.5295i	0.153888	+	0.748780i
$281$	21.5911	−	3.10434i	1.28802	−	0.185189i	0.535937	−	0.844258i	$-0.319958\pi$
$281$	21.5911	−	3.10434i	1.28802	−	0.185189i	0.752083	+	0.659069i	$0.229049\pi$
$282$	−16.8012	−	5.37078i	−1.00050	−	0.319825i
$283$	−6.50795	−	5.37341i	−0.386857	−	0.319416i	0.422905	−	0.906174i	$-0.361010\pi$
$283$	−6.50795	−	5.37341i	−0.386857	−	0.319416i	−0.809763	+	0.586758i	$0.800404\pi$
$284$	−7.14420	+	37.0676i	−0.423930	+	2.19956i
$285$	−1.21249	+	1.26407i	−0.0718216	+	0.0748772i
$286$	−23.7491	+	10.8459i	−1.40432	+	0.641329i
$287$	0.479423	−	14.8239i	0.0282994	−	0.875026i
$288$	−4.16374	+	2.27357i	−0.245351	+	0.133972i
$289$	−2.24189	+	23.4781i	−0.131876	+	1.38107i
$290$	−5.30427	−	18.2654i	−0.311478	−	1.07258i
$291$	2.97699	−	15.4461i	0.174514	−	0.905466i
$292$	−1.81814	+	10.8121i	−0.106399	+	0.632731i
$293$	5.06743	+	23.2946i	0.296042	+	1.36088i	0.849316	+	0.527884i	$0.177015\pi$
$293$	5.06743	+	23.2946i	0.296042	+	1.36088i	−0.553274	+	0.832999i	$0.686622\pi$
$294$	14.3239	+	18.8681i	0.835389	+	1.10041i
$295$	−15.8221	−	5.10966i	−0.921196	−	0.297496i
$296$	−2.22527	−	11.5458i	−0.129341	−	0.671085i
$297$	−26.8148	+	0.638310i	−1.55595	+	0.0370385i
$298$	−1.12190	+	4.18698i	−0.0649899	+	0.242545i
$299$	−11.6669	+	1.37262i	−0.674714	+	0.0793805i
$300$	−18.7427	+	12.5236i	−1.08211	+	0.723050i
$301$	−5.46635	+	21.7222i	−0.315075	+	1.25205i
$302$	−2.92260	+	40.8633i	−0.168177	+	2.35142i
$303$	−2.44209	−	2.22001i	−0.140295	−	0.127536i
$304$	0.454142	−	0.357141i	0.0260468	−	0.0204834i
$305$	−1.13470	+	0.844171i	−0.0649726	+	0.0483371i
$306$	−8.04693	+	5.73019i	−0.460012	+	0.327573i
$307$	0.499374	−	0.0357159i	0.0285008	−	0.00203842i	−0.0570815	−	0.998370i	$-0.518179\pi$
$307$	0.499374	−	0.0357159i	0.0285008	−	0.00203842i	0.0855823	+	0.996331i	$0.472725\pi$
$308$	15.0827	−	34.4074i	0.859418	−	1.96055i
$309$	1.08828	+	2.38300i	0.0619100	+	0.135564i
$310$	−19.8690	+	15.5298i	−1.12849	+	0.882033i
$311$	1.17146	+	4.82881i	0.0664273	+	0.273817i	0.995333	−	0.0964992i	$-0.0307645\pi$
$311$	1.17146	+	4.82881i	0.0664273	+	0.273817i	−0.928906	+	0.370316i	$0.879249\pi$
$312$	7.92840	−	1.33323i	0.448857	−	0.0754790i
$313$	0.749823	+	6.27128i	0.0423825	+	0.354474i	0.998173	+	0.0604244i	$0.0192454\pi$
$313$	0.749823	+	6.27128i	0.0423825	+	0.354474i	−0.955790	+	0.294049i	$0.904997\pi$
$314$	−6.63802	+	7.66068i	−0.374605	+	0.432317i
$315$	2.09840	−	3.53986i	0.118231	−	0.199448i
$316$	18.2608	−	28.4144i	1.02725	−	1.59843i
$317$	0.536299	+	1.25238i	0.0301215	+	0.0703404i	0.933648	−	0.358192i	$-0.116607\pi$
$317$	0.536299	+	1.25238i	0.0301215	+	0.0703404i	−0.903526	+	0.428532i	$0.859031\pi$
$318$	10.0604	+	31.4716i	0.564157	+	1.76484i
$319$	−5.96658	+	17.2393i	−0.334064	+	0.965215i
$320$	26.1150	−	12.5900i	1.45987	−	0.703805i
$321$			31.0135i			1.73100i
$322$	18.7457	−	21.1837i	1.04466	−	1.18052i
$323$	2.32450	−	2.32450i	0.129339	−	0.129339i
$324$	18.5563	+	4.50172i	1.03091	+	0.250096i
$325$	11.8488	−	3.09947i	0.657252	−	0.171928i
$326$	9.05385	+	4.66758i	0.501446	+	0.258513i
$327$	−6.92041	+	2.96349i	−0.382699	+	0.163881i
$328$	11.8436	−	2.57641i	0.653951	−	0.142258i
$329$	−13.7382	+	1.19368i	−0.757414	+	0.0658097i
$330$	36.1673	+	0.968550i	1.99095	+	0.0533169i
$331$	−16.7453	−	13.1686i	−0.920404	−	0.723814i	0.0409405	−	0.999162i	$-0.486965\pi$
$331$	−16.7453	−	13.1686i	−0.920404	−	0.723814i	−0.961345	+	0.275348i	$0.911207\pi$
$332$	2.29447	+	13.6447i	0.125926	+	0.748851i
$333$	−1.96879	+	3.23000i	−0.107889	+	0.177003i
$334$	30.0831	+	31.5502i	1.64607	+	1.72635i
$335$	12.5732	−	4.30981i	0.686948	−	0.235470i
$336$	2.80982	−	3.51092i	0.153288	−	0.191536i
$337$	0.593459	+	8.29764i	0.0323278	+	0.452001i	0.987675	+	0.156517i	$0.0500265\pi$
$337$	0.593459	+	8.29764i	0.0323278	+	0.452001i	−0.955348	+	0.295484i	$0.904519\pi$
$338$	15.3891	+	2.58781i	0.837058	+	0.140758i
$339$	−0.718696	+	15.0873i	−0.0390342	+	0.819429i
$340$	35.6581	−	22.7665i	1.93383	−	1.23469i
$341$	24.1600	−	1.15088i	1.30834	−	0.0623238i
$342$	0.798124	+	0.0570829i	0.0431576	+	0.00308669i
$343$	16.0224	+	9.28883i	0.865129	+	0.501550i
$344$	−18.3050			−0.986942
$345$	15.3577	+	5.39908i	0.826830	+	0.290677i
$346$	−0.0798527	−	0.138309i	−0.00429291	−	0.00743553i
$347$	−0.574440	−	24.1316i	−0.0308376	−	1.29545i	−0.776919	−	0.629600i	$-0.783219\pi$
$347$	−0.574440	−	24.1316i	−0.0308376	−	1.29545i	0.746082	−	0.665854i	$-0.231933\pi$
$348$	9.64169	−	14.2456i	0.516849	−	0.763643i
$349$	4.72868	+	7.35796i	0.253120	+	0.393863i	0.944439	−	0.328687i	$-0.106606\pi$
$349$	4.72868	+	7.35796i	0.253120	+	0.393863i	−0.691319	+	0.722550i	$0.742970\pi$
$350$	−16.3016	+	24.5761i	−0.871356	+	1.31365i
$351$	−11.5602	−	7.42931i	−0.617040	−	0.396547i
$352$	−32.1575	−	5.40754i	−1.71400	−	0.288223i
$353$	10.5178	−	7.11867i	0.559807	−	0.378889i	−0.247618	−	0.968858i	$-0.579648\pi$
$353$	10.5178	−	7.11867i	0.559807	−	0.378889i	0.807426	+	0.589969i	$0.200860\pi$
$354$	−9.35239	−	23.3611i	−0.497074	−	1.24163i
$355$	−23.5854	+	15.8610i	−1.25178	+	0.841815i
$356$	−4.50391	+	15.3389i	−0.238707	+	0.812960i
$357$	13.5029	−	21.7335i	0.714648	−	1.15026i
$358$	53.7448	+	20.0458i	2.84050	+	1.05945i
$359$	−2.35857	−	1.85480i	−0.124480	−	0.0978925i	0.553978	−	0.832531i	$-0.313109\pi$
$359$	−2.35857	−	1.85480i	−0.124480	−	0.0978925i	−0.678458	+	0.734639i	$0.737352\pi$
$360$	3.22383	+	0.957024i	0.169911	+	0.0504396i
$361$	18.6489	−	1.78075i	0.981521	−	0.0937239i
$362$	17.0887	−	53.4582i	0.898163	−	2.80970i
$363$	−14.4122	−	10.7889i	−0.756447	−	0.566269i
$364$	16.2797	−	10.2672i	0.853290	−	0.538147i
$365$	−6.73848	+	4.76832i	−0.352708	+	0.249585i
$366$	−2.08009	−	0.504625i	−0.108728	−	0.0263772i
$367$	−2.66587	−	0.714318i	−0.139157	−	0.0372871i	0.188568	−	0.982060i	$-0.439615\pi$
$367$	−2.66587	−	0.714318i	−0.139157	−	0.0372871i	−0.327725	+	0.944773i	$0.606282\pi$
$368$	−4.76803	−	2.46950i	−0.248551	−	0.128731i
$369$	−3.37687	−	1.94964i	−0.175793	−	0.101494i
$370$	15.2616	−	22.4052i	0.793415	−	1.16479i
$371$	16.7486	+	19.6653i	0.869542	+	1.02097i
$372$	−22.2860	−	4.84803i	−1.15548	−	0.251359i
$373$	8.32752	+	19.4466i	0.431182	+	1.00691i	0.984730	+	0.174089i	$0.0556979\pi$
$373$	8.32752	+	19.4466i	0.431182	+	1.00691i	−0.553548	+	0.832818i	$0.686726\pi$
$374$	−67.8260	−	3.23095i	−3.50720	−	0.167068i
$375$	−16.6361	−	3.36052i	−0.859085	−	0.173537i
$376$	−3.68584	−	10.6495i	−0.190083	−	0.549208i
$377$	−7.48193	+	5.60090i	−0.385339	+	0.288461i
$378$	32.6765	−	5.20862i	1.68070	−	0.267903i
$379$	−15.6190	−	4.58616i	−0.802296	−	0.235575i	−0.145219	−	0.989399i	$-0.546389\pi$
$379$	−15.6190	−	4.58616i	−0.802296	−	0.235575i	−0.657076	+	0.753824i	$0.728207\pi$
$380$	−3.40130	−	0.416937i	−0.174483	−	0.0213884i
$381$	−12.6402	+	17.7506i	−0.647575	+	0.909392i
$382$	3.25029	−	7.59014i	0.166299	−	0.388345i
$383$	3.42667	−	7.05410i	0.175095	−	0.360448i	−0.793701	−	0.608308i	$-0.791849\pi$
$383$	3.42667	−	7.05410i	0.175095	−	0.360448i	0.968796	+	0.247860i	$0.0797273\pi$
$384$	21.0764	+	9.62525i	1.07555	+	0.491186i
$385$	26.3788	−	10.2100i	1.34439	−	0.520349i
$386$	6.77115	+	47.0944i	0.344642	+	2.39704i
$387$	4.35748	+	3.96121i	0.221503	+	0.201360i
$388$	27.6815	−	13.4468i	1.40532	−	0.682660i
$389$	−5.71343	−	5.44775i	−0.289683	−	0.276212i	0.531277	−	0.847198i	$-0.321712\pi$
$389$	−5.71343	−	5.44775i	−0.289683	−	0.276212i	−0.820960	+	0.570986i	$0.806561\pi$
$390$	15.0669	+	10.7968i	0.762942	+	0.546715i
$391$	−28.6059	−	10.7310i	−1.44666	−	0.542690i
$392$	−4.16604	+	14.5503i	−0.210417	+	0.734900i
$393$	8.85251	−	16.2122i	0.446550	−	0.817795i
$394$	4.54404	+	23.5767i	0.228926	+	1.18778i
$395$	24.8656	−	5.33179i	1.25112	−	0.268272i
$396$	−6.10540	−	7.76365i	−0.306808	−	0.390138i
$397$	18.3028	+	5.85078i	0.918593	+	0.293642i	0.726046	−	0.687646i	$-0.241356\pi$
$397$	18.3028	+	5.85078i	0.918593	+	0.293642i	0.192546	+	0.981288i	$0.438325\pi$
$398$	13.3690	−	4.98639i	0.670128	−	0.249945i
$399$	−1.96421	+	0.661114i	−0.0983337	+	0.0330971i
$400$	5.27931	+	1.86242i	0.263966	+	0.0931208i
$401$	−1.60948	+	16.8552i	−0.0803736	+	0.841711i	0.861947	+	0.506999i	$0.169245\pi$
$401$	−1.60948	+	16.8552i	−0.0803736	+	0.841711i	−0.942320	+	0.334712i	$0.891361\pi$
$402$	17.1765	+	10.4696i	0.856688	+	0.522178i
$403$	10.5811	+	6.44949i	0.527080	+	0.321272i
$404$	0.613753	−	6.42752i	0.0305354	−	0.319781i
$405$	7.44607	+	12.2982i	0.369998	+	0.611101i
$406$	4.44740	−	22.0610i	0.220721	−	1.09487i
$407$	−24.3619	+	9.08650i	−1.20757	+	0.450401i
$408$	19.9168	+	6.36670i	0.986027	+	0.315199i
$409$	−16.4875	−	20.9655i	−0.815254	−	1.03668i	−0.998561	−	0.0536236i	$-0.982923\pi$
$409$	−16.4875	−	20.9655i	−0.815254	−	1.03668i	0.183308	−	0.983056i	$-0.441320\pi$
$410$	23.4634	+	15.1778i	1.15878	+	0.749578i
$411$	3.69584	+	19.1758i	0.182302	+	0.945874i
$412$	−2.45626	+	4.49830i	−0.121011	+	0.221616i
$413$	−13.7917	−	14.0290i	−0.678646	−	0.690323i
$414$	−2.58570	−	6.97271i	−0.127080	−	0.342690i
$415$	−6.06801	+	8.46793i	−0.297867	+	0.415674i
$416$	−12.0909	−	11.5287i	−0.592805	−	0.565239i
$417$	−6.86666	+	3.33562i	−0.336262	+	0.163346i
$418$	4.06978	+	3.69967i	0.199059	+	0.180957i
$419$	3.10650	+	21.6062i	0.151762	+	1.05553i	0.913264	+	0.407368i	$0.133553\pi$
$419$	3.10650	+	21.6062i	0.151762	+	1.05553i	−0.761502	+	0.648163i	$0.775538\pi$
$420$	−26.5178	+	2.86160i	−1.29394	+	0.139632i
$421$	25.7763	+	11.7716i	1.25626	+	0.573714i	0.928600	−	0.371082i	$-0.121013\pi$
$421$	25.7763	+	11.7716i	1.25626	+	0.573714i	0.327659	+	0.944796i	$0.393740\pi$
$422$	−7.34247	+	15.1151i	−0.357426	+	0.735792i
$423$	−1.42715	+	3.33271i	−0.0693905	+	0.162042i
$424$	−12.2446	+	17.1952i	−0.594652	+	0.835071i
$425$	31.0844	+	6.95585i	1.50781	+	0.337408i
$426$	−41.2737	−	12.1191i	−1.99972	−	0.587170i
$427$	−1.65253	+	0.263411i	−0.0799713	+	0.0127474i
$428$	−48.5724	+	36.3608i	−2.34783	+	1.75757i
$429$	−5.81472	−	16.8005i	−0.280737	−	0.811138i
$430$	−29.7533	−	29.9308i	−1.43483	−	1.44339i
$431$	−7.71986	−	0.367742i	−0.371853	−	0.0177135i	−0.139176	−	0.990268i	$-0.544445\pi$
$431$	−7.71986	−	0.367742i	−0.371853	−	0.0177135i	−0.232677	+	0.972554i	$0.574748\pi$
$432$	−2.47259	−	5.77404i	−0.118962	−	0.277803i
$433$	16.9394	+	3.68493i	0.814054	+	0.177087i	0.600273	−	0.799795i	$-0.295059\pi$
$433$	16.9394	+	3.68493i	0.814054	+	0.177087i	0.213781	+	0.976882i	$0.431422\pi$
$434$	−29.3464	+	5.39684i	−1.40867	+	0.259057i
$435$	12.7247	−	2.41326i	0.610102	−	0.115707i
$436$	−12.7550	−	7.36408i	−0.610852	−	0.352675i
$437$	1.23331	+	2.14550i	0.0589973	+	0.102633i
$438$	−12.0677	−	3.23354i	−0.576619	−	0.154505i
$439$	32.2087	+	7.81376i	1.53724	+	0.372930i	0.912887	−	0.408212i	$-0.133848\pi$
$439$	32.2087	+	7.81376i	1.53724	+	0.372930i	0.624353	+	0.781143i	$0.285363\pi$
$440$	13.3522	+	18.8690i	0.636541	+	0.899546i
$441$	4.14040	−	2.56214i	0.197162	−	0.122006i
$442$	−27.8493	−	20.8477i	−1.32466	−	0.991626i
$443$	4.53886	−	14.1988i	0.215648	−	0.674604i	−0.782971	−	0.622058i	$-0.786297\pi$
$443$	4.53886	−	14.1988i	0.215648	−	0.674604i	0.998619	−	0.0525460i	$-0.0167336\pi$
$444$	24.4066	−	2.33055i	1.15829	−	0.110603i
$445$	−10.5813	+	5.73705i	−0.501602	+	0.271962i
$446$	17.8671	+	14.0509i	0.846033	+	0.665327i
$447$	−2.76556	−	1.03150i	−0.130806	−	0.0487883i
$448$	34.2852	+	1.10883i	1.61982	+	0.0523871i
$449$	7.38211	−	25.1412i	0.348383	−	1.18648i	−0.579924	−	0.814671i	$-0.696918\pi$
$449$	7.38211	−	25.1412i	0.348383	−	1.18648i	0.928307	−	0.371814i	$-0.121264\pi$
$450$	3.67523	+	6.82688i	0.173252	+	0.321822i
$451$	−9.96144	−	24.8825i	−0.469066	−	1.17167i
$452$	−24.4719	+	16.5630i	−1.15106	+	0.779060i
$453$	−27.5103	−	4.62608i	−1.29255	−	0.217352i
$454$	−28.8056	−	18.5122i	−1.35191	−	0.868822i
$455$	14.1239	+	3.24305i	0.662137	+	0.152037i
$456$	−0.915661	−	1.42480i	−0.0428798	−	0.0667222i
$457$	14.1112	−	20.8493i	0.660094	−	0.975288i	−0.339307	−	0.940676i	$-0.610192\pi$
$457$	14.1112	−	20.8493i	0.660094	−	0.975288i	0.999401	−	0.0346124i	$-0.0110197\pi$
$458$	−0.986506	−	41.4421i	−0.0460964	−	1.93646i
$459$	−17.8696	−	30.9511i	−0.834083	−	1.44467i
$460$	9.54979	+	30.3828i	0.445261	+	1.41660i
$461$	22.7054			1.05749			0.528747	−	0.848779i	$-0.322662\pi$
$461$	22.7054			1.05749			0.528747	+	0.848779i	$0.322662\pi$
$462$	37.3963	+	20.8360i	1.73983	+	0.969377i
$463$	−31.1774	−	2.22985i	−1.44894	−	0.103630i	−0.675434	−	0.737421i	$-0.736044\pi$
$463$	−31.1774	−	2.22985i	−1.44894	−	0.103630i	−0.773505	+	0.633791i	$0.781498\pi$
$464$	−4.26716	+	0.203270i	−0.198098	+	0.00943657i
$465$	−9.24091	−	14.4736i	−0.428537	−	0.671196i
$466$	−0.860935	+	18.0733i	−0.0398821	+	0.837227i
$467$	24.5504	+	4.12836i	1.13606	+	0.191038i	0.703586	−	0.710610i	$-0.251581\pi$
$467$	24.5504	+	4.12836i	1.13606	+	0.191038i	0.432472	+	0.901648i	$0.357642\pi$
$468$	−0.360982	−	5.04718i	−0.0166864	−	0.233306i
$469$	15.5468	+	2.37082i	0.717886	+	0.109474i
$470$	11.4221	−	23.3367i	0.526864	−	1.07644i
$471$	−4.76319	−	4.99549i	−0.219476	−	0.230180i
$472$	8.36753	−	13.7278i	0.385147	−	0.631873i
$473$	6.71250	+	39.9178i	0.308641	+	1.83542i
$474$	30.2538	+	23.7919i	1.38960	+	1.09280i
$475$	−1.58281	−	2.03752i	−0.0726241	−	0.0934879i
$476$	49.8695	−	4.33303i	2.28576	−	0.198604i
$477$	6.63584	−	1.44354i	0.303834	−	0.0660951i
$478$	46.4843	−	19.9057i	2.12614	−	0.910467i
$479$	36.0407	+	18.5803i	1.64674	+	0.848954i	0.995971	+	0.0896781i	$0.0285838\pi$
$479$	36.0407	+	18.5803i	1.64674	+	0.848954i	0.650769	+	0.759275i	$0.274446\pi$
$480$	8.02591	+	21.7153i	0.366331	+	0.991163i
$481$	−12.9455	−	3.14055i	−0.590264	−	0.143197i
$482$	31.2288	−	31.2288i	1.42243	−	1.42243i
$483$	13.1461	+	14.0780i	0.598170	+	0.640573i
$484$		−	35.2211i		−	1.60096i
$485$	21.8739	+	7.64353i	0.993241	+	0.347075i
$486$	5.15494	−	14.8942i	0.233833	−	0.675615i
$487$	−6.44569	−	20.1639i	−0.292082	−	0.913713i	−0.981846	−	0.189678i	$-0.939255\pi$
$487$	−6.44569	−	20.1639i	−0.292082	−	0.913713i	0.689764	−	0.724034i	$-0.257714\pi$
$488$	−0.538320	−	1.25710i	−0.0243686	−	0.0569061i
$489$	−3.74999	+	5.83509i	−0.169580	+	0.263872i
$490$	−30.5628	+	16.8383i	−1.38069	+	0.760678i
$491$	−2.13241	+	2.46094i	−0.0962345	+	0.111061i	−0.801824	−	0.597560i	$-0.796137\pi$
$491$	−2.13241	+	2.46094i	−0.0962345	+	0.111061i	0.705589	+	0.708621i	$0.250682\pi$
$492$	3.00039	+	25.0943i	0.135268	+	1.13134i
$493$	−23.9707	+	4.03087i	−1.07959	+	0.181541i
$494$	0.664322	+	2.73837i	0.0298893	+	0.123205i
$495$	0.904793	−	7.38115i	0.0406674	−	0.331758i
$496$	2.35296	+	5.15227i	0.105651	+	0.231344i
$497$	−33.4250	+	3.70755i	−1.49932	+	0.166306i
$498$	−15.7264	+	1.12477i	−0.704716	+	0.0504023i
$499$	−26.5025	+	18.8724i	−1.18642	+	0.844844i	−0.990733	−	0.135823i	$-0.956632\pi$
$499$	−26.5025	+	18.8724i	−1.18642	+	0.844844i	−0.195684	+	0.980667i	$0.562693\pi$
$500$	−14.2414	−	29.9949i	−0.636893	−	1.34141i
$501$	−23.3337	+	18.3499i	−1.04247	+	0.819811i
$502$	−6.14428	−	5.58552i	−0.274233	−	0.249294i
$503$	2.85902	−	39.9743i	0.127477	−	1.78237i	−0.384260	−	0.923225i	$-0.625544\pi$
$503$	2.85902	−	39.9743i	0.127477	−	1.78237i	0.511738	−	0.859142i	$-0.329002\pi$
$504$	2.85622	+	2.77030i	0.127226	+	0.123399i
$505$	3.75792	−	3.08406i	0.167225	−	0.137239i
$506$	15.6565	−	48.6608i	0.696015	−	2.16324i
$507$	−2.75026	+	10.2641i	−0.122144	+	0.455846i
$508$	−42.6201	+	1.01455i	−1.89096	+	0.0450133i
$509$	−4.85558	−	25.1931i	−0.215220	−	1.11667i	−0.915353	−	0.402653i	$-0.868088\pi$
$509$	−4.85558	−	25.1931i	−0.215220	−	1.11667i	0.700133	−	0.714012i	$-0.253124\pi$
$510$	21.9628	+	42.9146i	0.972528	+	1.90029i
$511$	−9.67946	+	1.30752i	−0.428194	+	0.0578415i
$512$	−2.65237	−	12.1927i	−0.117219	−	0.538847i
$513$	−0.480052	+	2.85476i	−0.0211948	+	0.126041i
$514$	−8.44009	+	43.7913i	−0.372276	+	1.93155i
$515$	−3.70579	+	1.07616i	−0.163297	+	0.0474212i
$516$	3.62815	−	37.9957i	0.159720	−	1.67267i
$517$	−21.8718	+	11.9429i	−0.961921	+	0.525249i
$518$	28.2826	−	15.1317i	1.24267	−	0.664851i
$519$	0.0989223	−	0.0451763i	0.00434221	−	0.00198302i
$520$	0.246621	+	11.8400i	0.0108151	+	0.519216i
$521$	−4.54535	+	23.5835i	−0.199135	+	1.03321i	0.735478	+	0.677548i	$0.236957\pi$
$521$	−4.54535	+	23.5835i	−0.199135	+	1.03321i	−0.934614	+	0.355664i	$0.884255\pi$
$522$	−4.56238	−	3.76702i	−0.199690	−	0.164878i
$523$	−26.1519	−	8.35986i	−1.14354	−	0.365551i	−0.328245	−	0.944592i	$-0.606457\pi$
$523$	−26.1519	−	8.35986i	−1.14354	−	0.365551i	−0.815298	+	0.579041i	$0.803427\pi$
$524$	35.7699	−	5.14293i	1.56261	−	0.224670i
$525$	−15.6039	−	12.6409i	−0.681011	−	0.551694i
$526$	35.0455	−	30.3671i	1.52806	−	1.32407i
$527$	16.7738	+	27.5192i	0.730679	+	1.19875i
$528$	2.10324	−	7.84939i	0.0915317	−	0.341601i
$529$	13.4119	−	18.6848i	0.583128	−	0.812380i
$530$	−48.0186	+	7.92798i	−2.08579	+	0.344370i
$531$	−4.96257	+	1.45714i	−0.215357	+	0.0632345i
$532$	−3.33830	−	2.30119i	−0.144734	−	0.0997692i
$533$	2.91883	−	13.4176i	0.126428	−	0.581182i
$534$	−16.9118	−	6.77046i	−0.731845	−	0.292986i
$535$	−45.1984	−	6.63578i	−1.95410	−	0.286890i
$536$	1.22165	+	12.7937i	0.0527673	+	0.552604i
$537$	−17.0669	+	35.1338i	−0.736492	+	1.51613i
$538$	−28.1375	−	37.5873i	−1.21310	−	1.62051i
$539$	33.2575	+	3.74924i	1.43250	+	0.161491i
$540$	−13.9491	+	34.5450i	−0.600272	+	1.48658i
$541$	−20.2617	+	19.3195i	−0.871118	+	0.830609i	−0.986677	−	0.162691i	$-0.947983\pi$
$541$	−20.2617	+	19.3195i	−0.871118	+	0.830609i	0.115559	+	0.993301i	$0.463134\pi$
$542$	50.4602	−	8.48529i	2.16745	−	0.364475i
$543$	35.1309	+	15.0439i	1.50761	+	0.645597i
$544$	−14.2110	−	41.0599i	−0.609291	−	1.76043i
$545$	−2.83821	−	10.7198i	−0.121576	−	0.459184i
$546$	9.88319	+	19.5790i	0.422961	+	0.837903i
$547$	17.9225	−	23.9417i	0.766312	−	1.02367i	−0.232384	−	0.972624i	$-0.574653\pi$
$547$	17.9225	−	23.9417i	0.766312	−	1.02367i	0.998696	−	0.0510486i	$-0.0162563\pi$
$548$	−25.6995	+	28.2705i	−1.09783	+	1.20765i
$549$	−0.143890	+	0.415742i	−0.00614106	+	0.0177434i
$550$	−9.15007	+	52.5023i	−0.390160	+	2.23871i
$551$	1.70509	+	0.984432i	0.0726391	+	0.0419382i
$552$	−8.53512	+	13.2260i	−0.363279	+	0.562934i
$553$	28.9973	+	8.03554i	1.23309	+	0.341706i
$554$	5.58853	+	19.0328i	0.237434	+	0.808625i
$555$	14.1997	+	11.7954i	0.602744	+	0.500689i
$556$	−13.2747	−	6.84361i	−0.562975	−	0.290234i
$557$	−1.39243	+	11.6458i	−0.0589991	+	0.493450i	0.932287	+	0.361720i	$0.117811\pi$
$557$	−1.39243	+	11.6458i	−0.0589991	+	0.493450i	−0.991286	+	0.131729i	$0.957947\pi$
$558$	−2.38858	+	7.47213i	−0.101117	+	0.316320i
$559$	−8.61482	+	18.8638i	−0.364368	+	0.797855i
$560$	4.51554	+	4.84618i	0.190817	+	0.204789i
$561$	6.58032	−	45.7672i	0.277822	−	1.93229i
$562$	−37.4984	+	30.9613i	−1.58177	+	1.30602i
$563$	−21.5529	+	35.3597i	−0.908345	+	1.49023i	−0.0371430	+	0.999310i	$0.511826\pi$
$563$	−21.5529	+	35.3597i	−0.908345	+	1.49023i	−0.871202	+	0.490924i	$0.836659\pi$
$564$	22.8358	−	5.53989i	0.961559	−	0.233272i
$565$	−21.8341	−	4.27556i	−0.918569	−	0.179874i
$566$	18.6231	+	2.67759i	0.782786	+	0.112548i
$567$	1.06876	+	16.9771i	0.0448835	+	0.712972i
$568$	−9.60426	−	25.7500i	−0.402986	−	1.08045i
$569$	−10.4317	+	5.37793i	−0.437321	+	0.225455i	−0.662805	−	0.748792i	$-0.730634\pi$
$569$	−10.4317	+	5.37793i	−0.437321	+	0.225455i	0.225484	+	0.974247i	$0.427604\pi$
$570$	0.841369	−	3.81309i	0.0352411	−	0.159713i
$571$	6.00037	−	11.6391i	0.251108	−	0.487081i	−0.729266	−	0.684231i	$-0.760138\pi$
$571$	6.00037	−	11.6391i	0.251108	−	0.487081i	0.980373	+	0.197150i	$0.0631685\pi$
$572$	19.4952	−	28.8041i	0.815135	−	1.20436i
$573$	4.93465	+	2.69452i	0.206148	+	0.112565i
$574$	16.2874	+	28.7746i	0.679821	+	1.20103i
$575$	−11.1545	+	21.2268i	−0.465176	+	0.885218i
$576$	4.50919	−	7.81014i	0.187883	−	0.325423i
$577$	−0.201678	−	8.47230i	−0.00839598	−	0.352706i	−0.988237	−	0.152929i	$-0.951130\pi$
$577$	−0.201678	−	8.47230i	−0.00839598	−	0.352706i	0.979841	−	0.199778i	$-0.0640220\pi$
$578$	−22.9738	−	47.2936i	−0.955585	−	1.96715i
$579$	−32.3615	+	1.54157i	−1.34490	+	0.0640654i
$580$	18.6983	+	17.0997i	0.776403	+	0.710025i
$581$	−11.0038	+	5.55457i	−0.456515	+	0.230442i
$582$	12.2550	+	32.8570i	0.507987	+	1.36196i
$583$	41.9876	+	20.3963i	1.73895	+	0.844729i
$584$	−2.96661	−	7.41023i	−0.122759	−	0.306638i
$585$	2.50346	−	2.87185i	0.103505	−	0.118736i
$586$	−36.6747	−	38.4633i	−1.51502	−	1.58890i
$587$	−11.6516	−	21.3383i	−0.480912	−	0.880725i	−0.999667	−	0.0258022i	$-0.991786\pi$
$587$	−11.6516	−	21.3383i	−0.480912	−	0.880725i	0.518755	−	0.854923i	$-0.326396\pi$
$588$	−29.3762	−	11.5314i	−1.21146	−	0.475546i
$589$	0.371507	−	2.58389i	0.0153077	−	0.106467i
$590$	36.0471	−	8.63154i	1.48404	−	0.355355i
$591$	−16.2758	+	1.55415i	−0.669496	+	0.0639291i
$592$	−4.09576	−	4.50548i	−0.168335	−	0.185174i
$593$	−40.4199	+	17.3088i	−1.65985	+	0.710787i	−0.999203	−	0.0399136i	$-0.987292\pi$
$593$	−40.4199	+	17.3088i	−1.65985	+	0.710787i	−0.660642	+	0.750701i	$0.729716\pi$
$594$	50.3032	−	32.3279i	2.06397	−	1.32643i
$595$	28.7849	+	24.3290i	1.18007	+	0.997394i
$596$	−1.62689	−	5.54069i	−0.0666401	−	0.226955i
$597$	2.51471	+	9.38504i	0.102920	+	0.384104i
$598$	20.6162	−	16.1498i	0.843057	−	0.660416i
$599$	−19.9880	+	11.5401i	−0.816687	+	0.471515i	−0.849273	−	0.527954i	$-0.822959\pi$
$599$	−19.9880	+	11.5401i	−0.816687	+	0.471515i	0.0325855	+	0.999469i	$0.489626\pi$
$600$	6.90601	−	14.8871i	0.281937	−	0.607765i
$601$	2.97289	+	3.43089i	0.121267	+	0.139949i	0.813136	−	0.582073i	$-0.197758\pi$
$601$	2.97289	+	3.43089i	0.121267	+	0.139949i	−0.691870	+	0.722022i	$0.743213\pi$
$602$	−14.7984	−	47.6923i	−0.603138	−	1.94379i
$603$	2.47775	−	3.30988i	0.100902	−	0.134789i
$604$	−25.0084	−	48.5095i	−1.01758	−	1.97382i
$605$	18.8072	−	18.6957i	0.764622	−	0.760088i
$606$	7.22456	+	1.39242i	0.293478	+	0.0565632i
$607$	3.58562	+	29.9889i	0.145536	+	1.21721i	0.857308	+	0.514804i	$0.172135\pi$
$607$	3.58562	+	29.9889i	0.145536	+	1.21721i	−0.711772	+	0.702410i	$0.752107\pi$
$608$	−1.22989	+	3.29748i	−0.0498788	+	0.133730i
$609$	14.6663	+	4.44265i	0.594309	+	0.180025i
$610$	1.18050	−	2.92352i	0.0477970	−	0.118370i
$611$	−12.7093	−	1.21359i	−0.514162	−	0.0490965i
$612$	5.18052	−	12.0977i	0.209410	−	0.489019i
$613$	−13.2117	−	19.5203i	−0.533616	−	0.788417i	0.461499	−	0.887141i	$-0.347312\pi$
$613$	−13.2117	−	19.5203i	−0.533616	−	0.788417i	−0.995115	+	0.0987238i	$0.968524\pi$
$614$	−0.909154	+	0.647406i	−0.0366905	+	0.0261272i
$615$	−11.8071	+	14.9224i	−0.476108	+	0.601730i
$616$	3.66132	+	27.1043i	0.147519	+	1.09206i
$617$	−2.82164	+	12.9709i	−0.113595	+	0.522187i	0.884821	+	0.465930i	$0.154280\pi$
$617$	−2.82164	+	12.9709i	−0.113595	+	0.522187i	−0.998416	+	0.0562571i	$0.982083\pi$
$618$	−4.83658	−	3.27350i	−0.194556	−	0.131679i
$619$	3.27997	+	3.12744i	0.131833	+	0.125703i	0.753127	−	0.657875i	$-0.228544\pi$
$619$	3.27997	+	3.12744i	0.131833	+	0.125703i	−0.621294	+	0.783577i	$0.713393\pi$
$620$	11.8339	−	31.4419i	0.475259	−	1.26274i
$621$	26.0010	−	6.91437i	1.04338	−	0.277464i
$622$	−7.83277	−	7.83277i	−0.314066	−	0.314066i
$623$	−14.2401	+	0.217462i	−0.570519	+	0.00871245i
$624$	3.14639	−	2.72637i	0.125957	−	0.109142i
$625$	8.45710	−	23.5261i	0.338284	−	0.941044i
$626$	−8.70384	−	11.0678i	−0.347875	−	0.442360i
$627$	−2.77128	+	2.51926i	−0.110674	+	0.100609i
$628$	2.23932	−	13.3168i	0.0893588	−	0.531397i
$629$	−26.1831	−	22.6878i	−1.04399	−	0.904621i
$630$	0.112803	+	9.17313i	0.00449419	+	0.365466i
$631$	−6.06581	+	2.77016i	−0.241476	+	0.110278i	−0.532477	−	0.846444i	$-0.678739\pi$
$631$	−6.06581	+	2.77016i	−0.241476	+	0.110278i	0.291001	+	0.956723i	$0.406012\pi$
$632$	−0.585184	+	24.5830i	−0.0232774	+	0.977859i
$633$	−9.77063	−	5.95551i	−0.388348	−	0.236710i
$634$	−2.47400	−	1.76173i	−0.0982552	−	0.0699672i
$635$	−23.1649	−	22.2195i	−0.919270	−	0.881755i
$636$	−33.2650	−	28.8243i	−1.31904	−	1.14296i
$637$	13.0338	+	11.1409i	0.516418	+	0.441420i
$638$	−8.64474	−	39.7392i	−0.342248	−	1.57329i
$639$	−3.28603	+	8.20810i	−0.129993	+	0.324707i
$640$	−18.5372	+	28.6568i	−0.732749	+	1.13276i
$641$	7.89667	+	2.73306i	0.311900	+	0.107949i	0.478533	−	0.878069i	$-0.341169\pi$
$641$	7.89667	+	2.73306i	0.311900	+	0.107949i	−0.166634	+	0.986019i	$0.553290\pi$
$642$	−35.9846	−	59.0364i	−1.42020	−	2.32998i
$643$	2.89049	+	2.89049i	0.113990	+	0.113990i	0.761801	−	0.647811i	$-0.224315\pi$
$643$	2.89049	+	2.89049i	0.113990	+	0.113990i	−0.647811	+	0.761801i	$0.724315\pi$
$644$	−6.63581	+	37.0945i	−0.261488	+	1.46173i
$645$	22.2146	−	18.2311i	0.874700	−	0.717850i
$646$	−1.72776	+	7.12194i	−0.0679780	+	0.280209i
$647$	37.2530	−	18.0964i	1.46457	−	0.711442i	0.478545	−	0.878063i	$-0.341164\pi$
$647$	37.2530	−	18.0964i	1.46457	−	0.711442i	0.986021	+	0.166621i	$0.0532857\pi$
$648$	−13.2413	+	4.23277i	−0.520166	+	0.166279i
$649$	−33.0046	−	13.2130i	−1.29554	−	0.518657i
$650$	−18.9588	+	19.6481i	−0.743624	+	0.770661i
$651$	−1.75877	−	20.2420i	−0.0689317	−	0.793345i
$652$	−13.5353	+	0.968064i	−0.530083	+	0.0379123i
$653$	−4.02925	+	0.481756i	−0.157677	+	0.0188526i	−0.197183	−	0.980367i	$-0.563179\pi$
$653$	−4.02925	+	0.481756i	−0.157677	+	0.0188526i	0.0395058	+	0.999219i	$0.487422\pi$
$654$	9.73500	−	13.6709i	0.380669	−	0.534574i
$655$	21.7332	+	16.3703i	0.849185	+	0.639641i
$656$	4.54252	−	4.33128i	0.177355	−	0.169108i
$657$	−0.897378	+	2.40596i	−0.0350101	+	0.0938656i
$658$	24.7668	−	18.2126i	0.965509	−	0.710001i
$659$	−16.0353	+	18.5057i	−0.624647	+	0.720881i	−0.976583	−	0.215143i	$-0.930978\pi$
$659$	−16.0353	+	18.5057i	−0.624647	+	0.720881i	0.351936	+	0.936024i	$0.385524\pi$
$660$	−41.8129	+	23.9752i	−1.62756	+	0.933233i
$661$	24.6634	+	1.17486i	0.959295	+	0.0456969i	0.521385	−	0.853322i	$-0.325416\pi$
$661$	24.6634	+	1.17486i	0.959295	+	0.0456969i	0.437911	+	0.899019i	$0.355719\pi$
$662$	47.1553	+	5.63811i	1.83274	+	0.219131i
$663$	15.9344	−	17.5284i	0.618841	−	0.680748i
$664$	−6.59652	−	7.61279i	−0.255995	−	0.295434i
$665$	−0.543223	−	3.00406i	−0.0210653	−	0.116493i
$666$		−	8.43290i		−	0.326768i
$667$	1.77377	−	18.2124i	0.0686807	−	0.705188i
$668$	−56.0960	−	15.0309i	−2.17042	−	0.581562i
$669$	−10.6810	+	11.2019i	−0.412950	+	0.433089i
$670$	−18.9334	+	22.7926i	−0.731462	+	0.880556i
$671$	−2.54395	+	1.63489i	−0.0982079	+	0.0631144i
$672$	−3.48391	+	27.1702i	−0.134395	+	1.04811i
$673$	−3.34521	+	0.727705i	−0.128948	+	0.0280510i	−0.276576	−	0.960992i	$-0.589200\pi$
$673$	−3.34521	+	0.727705i	−0.128948	+	0.0280510i	0.147628	+	0.989043i	$0.452836\pi$
$674$	−10.7573	−	15.1066i	−0.414358	−	0.581884i
$675$	−25.8505	+	10.8884i	−0.994986	+	0.419093i
$676$	−19.2998	+	7.72649i	−0.742301	+	0.297173i
$677$	−27.0876	+	22.3654i	−1.04106	+	0.859572i	−0.990273	−	0.139137i	$-0.955567\pi$
$677$	−27.0876	+	22.3654i	−1.04106	+	0.859572i	−0.0507878	+	0.998709i	$0.516173\pi$
$678$	−16.1375	−	29.5537i	−0.619757	−	1.13500i
$679$	18.7494	+	20.0027i	0.719535	+	0.767632i
$680$	−13.5402	+	27.6641i	−0.519243	+	1.06087i
$681$	14.4132	−	18.3278i	0.552314	−	0.702324i
$682$	−44.6550	+	30.2234i	−1.70993	+	1.15731i
$683$	19.6339	−	23.7793i	0.751269	−	0.909890i	−0.246981	−	0.969020i	$-0.579439\pi$
$683$	19.6339	−	23.7793i	0.751269	−	0.909890i	0.998250	+	0.0591298i	$0.0188326\pi$
$684$	−0.947466	+	0.488453i	−0.0362273	+	0.0186765i
$685$	−28.7373	+	1.28330i	−1.09799	+	0.0490322i
$686$	−41.2776	+	0.908656i	−1.57598	+	0.0346926i
$687$	28.1557	+	2.01373i	1.07421	+	0.0768287i
$688$	−8.09400	+	4.93355i	−0.308581	+	0.188090i
$689$	11.9574	+	20.7109i	0.455542	+	0.789023i
$690$	−35.4990	+	7.54180i	−1.35142	+	0.287112i
$691$	8.26020	−	14.3071i	0.314233	−	0.544267i	−0.665041	−	0.746807i	$-0.731586\pi$
$691$	8.26020	−	14.3071i	0.314233	−	0.544267i	0.979274	+	0.202539i	$0.0649194\pi$
$692$	0.186732	+	0.101964i	0.00709850	+	0.00387607i
$693$	4.99381	−	7.24444i	0.189699	−	0.275193i
$694$	29.0932	+	45.2698i	1.10436	+	1.71842i
$695$	−3.39204	−	10.7210i	−0.128667	−	0.406672i
$696$	−0.595881	+	12.5091i	−0.0225868	+	0.474156i
$697$	22.7379	−	27.5387i	0.861259	−	1.04310i
$698$	−17.5387	−	8.51980i	−0.663851	−	0.322479i
$699$	−12.1954	−	1.75343i	−0.461271	−	0.0663207i
$700$	1.50343	−	39.2588i	0.0568244	−	1.48384i
$701$	8.81314	−	30.0148i	0.332868	−	1.13364i	−0.607736	−	0.794139i	$-0.707922\pi$
$701$	8.81314	−	30.0148i	0.332868	−	1.13364i	0.940604	−	0.339505i	$-0.110260\pi$
$702$	30.6259	+	0.729032i	1.15590	+	0.0275156i
$703$	0.465356	+	2.76737i	0.0175512	+	0.104373i
$704$	57.5490	−	23.0391i	2.16896	−	0.868321i
$705$	15.0796	+	9.25310i	0.567930	+	0.348492i
$706$	−11.7617	+	25.7546i	−0.442659	+	0.969288i
$707$	5.63088	−	1.17471i	0.211771	−	0.0441795i
$708$	26.8363	+	20.0894i	1.00857	+	0.755005i
$709$	1.30858	+	27.4704i	0.0491447	+	1.03167i	0.879937	+	0.475091i	$0.157585\pi$
$709$	1.30858	+	27.4704i	0.0491447	+	1.03167i	−0.830792	+	0.556583i	$0.812112\pi$
$710$	26.4932	−	57.5585i	0.994272	−	2.16013i
$711$	5.45906	−	5.72530i	0.204731	−	0.214715i
$712$	−3.01228	−	11.2420i	−0.112890	−	0.421311i
$713$	−23.2917	+	6.79133i	−0.872281	+	0.254337i
$714$	−0.486554	+	57.0386i	−0.0182088	+	2.13462i
$715$	25.7289	−	4.87955i	0.962207	−	0.182485i
$716$	−75.0351	+	14.4618i	−2.80419	+	0.540464i
$717$	10.4844	+	32.7981i	0.391548	+	1.22487i
$718$	6.64181	+	0.794126i	0.247870	+	0.0296365i
$719$	2.71751	+	5.27124i	0.101346	+	0.196584i	0.934057	−	0.357124i	$-0.116243\pi$
$719$	2.71751	+	5.27124i	0.101346	+	0.196584i	−0.832711	+	0.553708i	$0.813212\pi$
$720$	1.68343	−	0.445713i	0.0627376	−	0.0166107i
$721$	−4.47585	−	0.902312i	−0.166689	−	0.0336039i
$722$	−33.4334	+	25.0279i	−1.24426	+	0.931442i
$723$	19.1473	+	23.1901i	0.712097	+	0.862447i
$724$	17.6268	+	72.6587i	0.655096	+	2.70034i
$725$	0.794413	+	19.0611i	0.0295037	+	0.707910i
$726$	39.9530	+	3.81505i	1.48279	+	0.141590i
$727$	8.76963	+	11.7149i	0.325248	+	0.434480i	0.933126	−	0.359550i	$-0.117070\pi$
$727$	8.76963	+	11.7149i	0.325248	+	0.434480i	−0.607878	+	0.794030i	$0.707979\pi$
$728$	−6.22987	+	12.5512i	−0.230894	+	0.465178i
$729$	27.3078	+	12.4710i	1.01140	+	0.461891i
$730$	7.29457	−	16.8954i	0.269984	−	0.625328i
$731$	−42.3957	+	33.3404i	−1.56806	+	1.23314i
$732$	2.71605	−	0.868227i	0.100388	−	0.0320906i
$733$	−43.4407	−	29.4015i	−1.60452	−	1.08597i	−0.941315	−	0.337530i	$-0.890409\pi$
$733$	−43.4407	−	29.4015i	−1.60452	−	1.08597i	−0.663203	−	0.748440i	$-0.730803\pi$
$734$	5.90350	−	1.73342i	0.217902	−	0.0639818i
$735$	−9.43572	−	21.8071i	−0.348042	−	0.804368i
$736$	32.6300	−	2.27185i	1.20276	−	0.0837415i
$737$	27.4512	−	7.35553i	1.01118	−	0.270945i
$738$	8.69027	−	0.206867i	0.319893	−	0.00761488i
$739$	16.7976	+	5.81369i	0.617908	+	0.213860i	0.618049	−	0.786140i	$-0.287923\pi$
$739$	16.7976	+	5.81369i	0.617908	+	0.213860i	−0.000140393		1.00000i	$0.500045\pi$
$740$	−1.82565	+	36.0684i	−0.0671123	+	1.32590i
$741$	−1.89922	+	0.273067i	−0.0697698	+	0.0100314i
$742$	−54.6996	−	18.0013i	−2.00809	−	0.660847i
$743$	−23.5300	+	8.77625i	−0.863234	+	0.321970i	−0.741793	−	0.670629i	$-0.766024\pi$
$743$	−23.5300	+	8.77625i	−0.863234	+	0.321970i	−0.121441	+	0.992599i	$0.538751\pi$
$744$	15.6910	−	5.43072i	0.575261	−	0.199100i
$745$	2.09502	−	3.80977i	0.0767556	−	0.139579i
$746$	−38.4157	−	27.3557i	−1.40650	−	1.00156i
$747$	−0.0771192	+	3.23970i	−0.00282164	+	0.118534i
$748$	79.3941	−	43.3524i	2.90293	−	1.58512i
$749$	−43.7611	−	31.7281i	−1.59899	−	1.15932i
$750$	35.5672	−	12.9057i	1.29873	−	0.471249i
$751$	−24.3840	+	8.43939i	−0.889786	+	0.307958i	−0.733448	−	0.679746i	$-0.762090\pi$
$751$	−24.3840	+	8.43939i	−0.889786	+	0.307958i	−0.156338	+	0.987704i	$0.549969\pi$
$752$	−4.50003	−	3.71553i	−0.164099	−	0.135492i
$753$	4.18389	−	3.80341i	0.152469	−	0.138604i
$754$	7.74374	−	19.3429i	0.282011	−	0.704428i
$755$	12.6282	−	39.1031i	0.459587	−	1.42311i
$756$	−33.5590	+	28.5815i	−1.22053	+	1.03950i
$757$	1.88411	−	3.45049i	0.0684791	−	0.125410i	−0.841197	−	0.540729i	$-0.818148\pi$
$757$	1.88411	−	3.45049i	0.0684791	−	0.125410i	0.909676	+	0.415319i	$0.136330\pi$
$758$	35.0532	−	9.39249i	1.27319	−	0.341151i
$759$	31.9717	+	13.7625i	1.16050	+	0.499548i
$760$	2.27239	−	1.02961i	0.0824282	−	0.0373479i
$761$	−0.0957322	+	0.394613i	−0.00347029	+	0.0143047i	−0.973520	−	0.228600i	$-0.926585\pi$
$761$	−0.0957322	+	0.394613i	−0.00347029	+	0.0143047i	0.970050	+	0.242905i	$0.0781003\pi$
$762$	3.46563	−	48.4559i	0.125547	−	1.75537i
$763$	2.89829	−	12.7967i	0.104925	−	0.463272i
$764$	1.56540	+	10.8876i	0.0566342	+	0.393900i
$765$	9.20972	−	3.65528i	0.332978	−	0.132157i
$766$	1.66187	+	17.4039i	0.0600460	+	0.628830i
$767$	−10.2089	−	15.0836i	−0.368621	−	0.544638i
$768$	−12.2032	+	1.45907i	−0.440344	+	0.0526496i
$769$	0.376760	+	0.824989i	0.0135863	+	0.0297499i	0.916304	−	0.400485i	$-0.131158\pi$
$769$	0.376760	+	0.824989i	0.0135863	+	0.0297499i	−0.902717	+	0.430234i	$0.858431\pi$
$770$	−38.3674	+	50.0424i	−1.38266	+	1.80340i
$771$	−29.1380	−	8.55567i	−1.04938	−	0.308125i
$772$	−40.3557	−	48.8763i	−1.45243	−	1.75910i
$773$	−2.10246	−	0.900327i	−0.0756203	−	0.0323825i	0.355507	−	0.934674i	$-0.384308\pi$
$773$	−2.10246	−	0.900327i	−0.0756203	−	0.0323825i	−0.431127	+	0.902291i	$0.641884\pi$
$774$	−12.8909	−	2.48452i	−0.463355	−	0.0893043i
$775$	23.0707	−	10.3707i	0.828725	−	0.372526i
$776$	−12.1129	+	18.8481i	−0.434829	+	0.676607i
$777$	8.42650	+	20.1510i	0.302299	+	0.722914i
$778$	17.1969	+	3.74096i	0.616539	+	0.134120i
$779$	−2.84041	+	0.547445i	−0.101768	+	0.0196142i
$780$	−24.6250	−	1.83483i	−0.881718	−	0.0656973i
$781$	−52.6311	+	30.3866i	−1.88329	+	1.08732i
$782$	66.9046	−	12.7639i	2.39250	−	0.456435i
$783$	15.1357	−	15.1357i	0.540905	−	0.540905i
$784$	2.07946	+	7.55657i	0.0742665	+	0.269877i
$785$	8.29948	−	5.87292i	0.296221	−	0.209613i
$786$	1.95938	+	41.1325i	0.0698889	+	1.46715i
$787$	−4.49672	+	37.6091i	−0.160291	+	1.34062i	0.652378	+	0.757894i	$0.273772\pi$
$787$	−4.49672	+	37.6091i	−0.160291	+	1.34062i	−0.812669	+	0.582726i	$0.801986\pi$
$788$	−21.5161	−	23.6685i	−0.766480	−	0.843156i
$789$	18.3162	+	25.7214i	0.652073	+	0.915708i
$790$	−41.1471	+	39.0007i	−1.46395	+	1.38758i
$791$	−20.5534	−	16.4490i	−0.730795	−	0.584861i
$792$	6.73716	+	2.51283i	0.239394	+	0.0892895i
$793$	−1.54882	−	0.0368688i	−0.0550002	−	0.00130925i
$794$	−41.6294	+	10.0992i	−1.47737	+	0.358406i
$795$	−2.26591	−	33.0629i	−0.0803637	−	1.17262i
$796$	−11.7503	+	14.9417i	−0.416477	+	0.529594i
$797$	1.51831	+	21.2287i	0.0537812	+	0.751960i	0.950768	+	0.309903i	$0.100297\pi$
$797$	1.51831	+	21.2287i	0.0537812	+	0.751960i	−0.896987	+	0.442057i	$0.854249\pi$
$798$	2.97194	−	3.53753i	0.105206	−	0.125227i
$799$	−27.9335	−	17.9517i	−0.988215	−	0.635087i
$800$	−33.3647	+	7.05051i	−1.17962	+	0.249273i
$801$	−1.71570	+	3.32798i	−0.0606211	+	0.117589i
$802$	−16.4932	−	33.9527i	−0.582395	−	1.19891i
$803$	−15.0716	+	9.18663i	−0.531866	+	0.324189i
$804$	−26.7980			−0.945092
$805$	−23.3299	+	16.1467i	−0.822270	+	0.569097i
$806$	−27.6251			−0.973053
$807$	27.3001	−	16.6403i	0.961009	−	0.585766i
$808$	2.05394	+	4.22821i	0.0722572	+	0.148748i
$809$	18.1261	−	35.1598i	0.637280	−	1.23615i	−0.320117	−	0.947378i	$-0.603722\pi$
$809$	18.1261	−	35.1598i	0.637280	−	1.23615i	0.957397	−	0.288773i	$-0.0932474\pi$
$810$	−28.4436	−	14.7709i	−0.999405	−	0.518997i
$811$	36.2815	+	23.3167i	1.27402	+	0.818761i	0.990138	−	0.140099i	$-0.0447420\pi$
$811$	36.2815	+	23.3167i	1.27402	+	0.818761i	0.283880	+	0.958860i	$0.408378\pi$
$812$	10.2371	+	28.1786i	0.359253	+	0.988875i
$813$	2.48566	+	34.7540i	0.0871758	+	1.21888i
$814$	35.8316	−	45.5636i	1.25590	−	1.59700i
$815$	−7.70159	−	6.71366i	−0.269775	−	0.235169i
$816$	10.5226	−	2.55276i	0.368365	−	0.0893644i
$817$	4.36744	+	0.103964i	0.152797	+	0.00363725i
$818$	55.7112	+	20.7792i	1.94790	+	0.726528i
$819$	4.19908	−	1.63964i	0.146728	−	0.0572937i
$820$	−37.2139	−	0.996578i	−1.29957	−	0.0348020i
$821$	24.8965	+	34.9623i	0.868894	+	1.22019i	0.974185	+	0.225750i	$0.0724832\pi$
$821$	24.8965	+	34.9623i	0.868894	+	1.22019i	−0.105291	+	0.994441i	$0.533577\pi$
$822$	−29.2848	−	32.2144i	−1.02143	−	1.12361i
$823$	−0.650701	+	5.44225i	−0.0226820	+	0.189705i	−0.999728	−	0.0233236i	$-0.992575\pi$
$823$	−0.650701	+	5.44225i	−0.0226820	+	0.189705i	0.977046	+	0.213029i	$0.0683328\pi$
$824$	−0.177542	−	3.72707i	−0.00618497	−	0.129839i
$825$	−34.9968	−	9.60078i	−1.21843	−	0.334256i
$826$	42.5313	+	10.7029i	1.47985	+	0.372402i
$827$	6.26843	−	6.26843i	0.217975	−	0.217975i	−0.589670	−	0.807644i	$-0.700742\pi$
$827$	6.26843	−	6.26843i	0.217975	−	0.217975i	0.807644	+	0.589670i	$0.200742\pi$
$828$	7.77590	+	6.13882i	0.270231	+	0.213339i
$829$	4.87477	−	2.81445i	0.169308	−	0.0977499i	−0.412952	−	0.910753i	$-0.635502\pi$
$829$	4.87477	−	2.81445i	0.169308	−	0.0977499i	0.582259	+	0.813003i	$0.302169\pi$
$830$	1.72566	−	23.1600i	0.0598987	−	0.803895i
$831$	−13.2632	+	2.55628i	−0.460096	+	0.0886763i
$832$	31.0328	+	6.75076i	1.07587	+	0.234041i
$833$	16.8527	+	41.2874i	0.583912	+	1.43052i
$834$	9.20091	−	14.3169i	0.318601	−	0.495754i
$835$	−21.7501	−	37.9324i	−0.752694	−	1.31270i
$836$	−7.19468	−	1.38666i	−0.248833	−	0.0479587i
$837$	−26.0890	−	11.1720i	−0.901767	−	0.386159i
$838$	−30.9829	−	37.5245i	−1.07028	−	1.29626i
$839$	−1.79696	−	0.527635i	−0.0620379	−	0.0182160i	0.250566	−	0.968099i	$-0.419383\pi$
$839$	−1.79696	−	0.527635i	−0.0620379	−	0.0182160i	−0.312604	+	0.949883i	$0.601201\pi$
$840$	15.4004	−	11.8269i	0.531365	−	0.408066i
$841$	5.99934	+	13.1367i	0.206874	+	0.452991i
$842$	−62.7255	+	7.49976i	−2.16166	+	0.258459i
$843$	−18.5602	−	27.4226i	−0.639246	−	0.944485i
$844$	−2.12794	−	22.2848i	−0.0732468	−	0.767075i
$845$	−14.3703	−	6.20434i	−0.494353	−	0.213436i
$846$	−1.15022	−	7.99998i	−0.0395455	−	0.275045i
$847$	29.9678	−	9.29868i	1.02971	−	0.319507i
$848$	−0.779826	+	10.9034i	−0.0267793	+	0.374424i
$849$	−3.02045	+	12.4505i	−0.103662	+	0.427299i
$850$	−67.2422	+	22.8259i	−2.30639	+	0.782922i
$851$	21.6265	−	14.5778i	0.741348	−	0.499721i
$852$	55.3528	−	14.8317i	1.89636	−	0.508127i
$853$	−13.9796	+	25.6018i	−0.478653	+	0.876588i	0.521080	+	0.853508i	$0.325529\pi$
$853$	−13.9796	+	25.6018i	−0.478653	+	0.876588i	−0.999734	+	0.0230803i	$0.992653\pi$
$854$	2.84007	−	2.41883i	0.0971852	−	0.0827707i
$855$	−0.763745	−	0.246648i	−0.0261195	−	0.00843519i
$856$	16.4173	−	41.0083i	0.561130	−	1.40164i
$857$	34.0697	−	30.9714i	1.16380	−	1.05796i	0.166386	−	0.986061i	$-0.446790\pi$
$857$	34.0697	−	30.9714i	1.16380	−	1.05796i	0.997412	−	0.0719016i	$-0.0229067\pi$
$858$	30.5622	+	25.2343i	1.04338	+	0.861485i
$859$	30.0162	−	10.3887i	1.02414	−	0.354458i	0.237182	−	0.971465i	$-0.423776\pi$
$859$	30.0162	−	10.3887i	1.02414	−	0.354458i	0.786958	+	0.617007i	$0.211655\pi$
$860$	54.5979	+	13.4173i	1.86177	+	0.457527i
$861$	−20.5593	+	9.17799i	−0.700659	+	0.312785i
$862$	15.1220	−	8.25724i	0.515058	−	0.281243i
$863$	−0.961226	+	40.3801i	−0.0327205	+	1.37456i	0.709644	+	0.704560i	$0.248856\pi$
$863$	−0.961226	+	40.3801i	−0.0327205	+	1.37456i	−0.742365	+	0.669996i	$0.766296\pi$
$864$	31.1672	+	22.1941i	1.06033	+	0.755058i
$865$	0.0446732	+	0.153834i	0.00151893	+	0.00523050i
$866$	−36.5209	+	12.6400i	−1.24103	+	0.429525i
$867$	33.5453	−	12.5118i	1.13926	−	0.424922i
$868$	29.6403	−	26.4866i	1.00606	−	0.899014i
$869$	53.8227	−	7.73853i	1.82581	−	0.262512i
$870$	−21.4223	+	19.3581i	−0.726284	+	0.656302i
$871$	13.7592	+	4.76210i	0.466213	+	0.161358i
$872$	10.7194	−	0.255170i	0.363006	−	0.00864115i
$873$	6.96218	−	1.86551i	0.235634	−	0.0631380i
$874$	−4.83710	−	2.65312i	−0.163617	−	0.0897432i
$875$	21.7613	−	20.0361i	0.735665	−	0.677345i
$876$	15.9694	−	4.68904i	0.539556	−	0.158428i
$877$	−29.9398	−	20.2639i	−1.01100	−	0.684262i	−0.0615215	−	0.998106i	$-0.519595\pi$
$877$	−29.9398	−	20.2639i	−1.01100	−	0.684262i	−0.949475	+	0.313844i	$0.898383\pi$
$878$	−70.3779	+	22.4974i	−2.37514	+	0.759250i
$879$	28.4465	−	22.3705i	0.959475	−	0.754540i
$880$	10.9895	+	4.74471i	0.370457	+	0.159944i
$881$	−15.4170	−	7.04072i	−0.519413	−	0.237208i	0.138417	−	0.990374i	$-0.455798\pi$
$881$	−15.4170	−	7.04072i	−0.519413	−	0.237208i	−0.657831	+	0.753166i	$0.728526\pi$
$882$	−4.90873	+	9.68127i	−0.165286	+	0.325985i
$883$	−7.34614	−	9.81329i	−0.247217	−	0.330244i	0.659718	−	0.751513i	$-0.270676\pi$
$883$	−7.34614	−	9.81329i	−0.247217	−	0.330244i	−0.906936	+	0.421269i	$0.861585\pi$
$884$	46.1343	+	4.40529i	1.55167	+	0.148166i
$885$	3.51770	+	24.9935i	0.118246	+	0.840148i
$886$	7.83463	+	32.2948i	0.263210	+	1.08497i
$887$	−1.54189	−	1.86745i	−0.0517718	−	0.0627027i	0.744596	−	0.667515i	$-0.232642\pi$
$887$	−1.54189	−	1.86745i	−0.0517718	−	0.0627027i	−0.796368	+	0.604812i	$0.793248\pi$
$888$	−14.2892	+	10.6968i	−0.479515	+	0.358960i
$889$	−12.1153	−	35.9954i	−0.406334	−	1.20725i
$890$	13.4857	−	23.1983i	0.452040	−	0.777608i
$891$	14.0860	+	27.3230i	0.471899	+	0.915355i
$892$	−30.0666	−	3.59490i	−1.00670	−	0.120366i
$893$	0.818927	+	2.56183i	0.0274044	+	0.0857283i
$894$	6.46128	−	1.24531i	0.216098	−	0.0416494i
$895$	−47.5515	−	32.3904i	−1.58947	−	1.08269i
$896$	−35.1436	+	19.8924i	−1.17406	+	0.664558i
$897$	9.61285	+	15.0201i	0.320964	+	0.501508i
$898$	15.1186	+	56.4234i	0.504515	+	1.88287i
$899$	−13.3201	+	13.9697i	−0.444251	+	0.465917i
$900$	−8.91415	−	5.21751i	−0.297138	−	0.173917i
$901$	2.95949	+	62.1273i	0.0985948	+	2.06976i
$902$	47.8332	+	35.8075i	1.59267	+	1.19226i
$903$	33.2864	−	6.94420i	1.10770	−	0.231088i
$904$	8.93690	−	19.5691i	0.297237	−	0.650858i
$905$	−29.4415	+	47.9802i	−0.978668	+	1.59492i
$906$	57.7355	−	23.1138i	1.91813	−	0.767904i
$907$	7.64289	+	45.4506i	0.253778	+	1.50916i	0.761797	+	0.647815i	$0.224317\pi$
$907$	7.64289	+	45.4506i	0.253778	+	1.50916i	−0.508020	+	0.861346i	$0.669622\pi$
$908$	45.6028	+	1.08555i	1.51338	+	0.0360252i
$909$	0.426048	−	1.45099i	0.0141311	−	0.0481262i
$910$	−30.6487	+	10.2144i	−1.01599	+	0.338603i
$911$	23.4450	+	3.37088i	0.776767	+	0.111682i	0.519285	−	0.854601i	$-0.326198\pi$
$911$	23.4450	+	3.37088i	0.776767	+	0.111682i	0.257481	+	0.966283i	$0.417107\pi$
$912$	−0.788890	−	0.383219i	−0.0261228	−	0.0126896i
$913$	−14.1822	+	17.1767i	−0.469364	+	0.568464i
$914$	−2.67052	+	56.0612i	−0.0883331	+	1.85434i
$915$	1.90532	+	0.989440i	0.0629878	+	0.0327099i
$916$	29.8564	+	46.4575i	0.986484	+	1.53500i
$917$	13.8194	+	29.0769i	0.456357	+	0.960205i
$918$	69.9284	+	38.1838i	2.30798	+	1.26025i
$919$	19.2219	−	33.2933i	0.634071	−	1.09824i	−0.352640	−	0.935759i	$-0.614716\pi$
$919$	19.2219	−	33.2933i	0.634071	−	1.09824i	0.986711	−	0.162484i	$-0.0519507\pi$
$920$	−17.4490	−	15.2688i	−0.575278	−	0.503398i
$921$	−0.380001	−	0.658181i	−0.0125215	−	0.0216878i
$922$	−43.2214	+	26.3448i	−1.42342	+	0.867620i
$923$	−31.0561	−	2.22118i	−1.02222	−	0.0731109i
$924$	−56.9861	+	2.22757i	−1.87470	+	0.0732817i
$925$	−20.2287	+	18.1706i	−0.665115	+	0.597444i
$926$	61.9358	−	31.9301i	2.03534	−	1.04929i
$927$	−0.764274	+	0.925641i	−0.0251020	+	0.0304020i
$928$	21.5509	−	14.5861i	0.707444	−	0.478812i
$929$	6.81362	−	8.66423i	0.223548	−	0.284264i	−0.661322	−	0.750102i	$-0.730005\pi$
$929$	6.81362	−	8.66423i	0.223548	−	0.284264i	0.884870	+	0.465838i	$0.154247\pi$
$930$	34.3843	+	16.8294i	1.12750	+	0.551858i
$931$	1.07662	−	3.44792i	0.0352849	−	0.113001i
$932$	−11.5519	−	21.1558i	−0.378396	−	0.692980i
$933$	5.81650	−	4.80250i	0.190424	−	0.157227i
$934$	−51.5236	+	20.6269i	−1.68590	+	0.674934i
$935$	65.2922	+	19.3826i	2.13528	+	0.633878i
$936$	2.13685	+	3.00078i	0.0698451	+	0.0980837i
$937$	16.0641	−	3.49453i	0.524792	−	0.114161i	0.0576380	−	0.998338i	$-0.481643\pi$
$937$	16.0641	−	3.49453i	0.524792	−	0.114161i	0.467154	+	0.884176i	$0.345279\pi$
$938$	−32.3454	+	13.5258i	−1.05611	+	0.441632i
$939$	8.06579	−	5.18357i	0.263217	−	0.169159i
$940$	3.18769	+	34.4657i	0.103971	+	1.12415i
$941$	28.7919	−	30.1961i	0.938591	−	0.984365i	−0.0613149	−	0.998118i	$-0.519529\pi$
$941$	28.7919	−	30.1961i	0.938591	−	0.984365i	0.999905	+	0.0137531i	$0.00437788\pi$
$942$	14.8633	+	3.98260i	0.484272	+	0.129760i
$943$	15.5532	+	21.9290i	0.506483	+	0.714105i
$944$		−	8.32526i		−	0.270964i
$945$	−33.0753	−	2.74835i	−1.07594	−	0.0894037i
$946$	−59.0939	−	68.1980i	−1.92131	−	2.21731i
$947$	−6.11303	+	6.72456i	−0.198647	+	0.218519i	−0.831164	−	0.556028i	$-0.812325\pi$
$947$	−6.11303	+	6.72456i	−0.198647	+	0.218519i	0.632517	+	0.774546i	$0.282022\pi$
$948$	−50.9109	−	6.08714i	−1.65351	−	0.197701i
$949$	−9.03260	−	0.430276i	−0.293211	−	0.0139673i
$950$	5.37710	+	2.04206i	0.174456	+	0.0662532i
$951$	1.35434	−	1.56299i	0.0439173	−	0.0506833i
$952$	−29.3594	+	21.5898i	−0.951542	+	0.699731i
$953$	−1.15931	+	3.10824i	−0.0375539	+	0.100686i	−0.954373	−	0.298616i	$-0.903475\pi$
$953$	−1.15931	+	3.10824i	−0.0375539	+	0.100686i	0.916819	+	0.399302i	$0.130748\pi$
$954$	−10.9569	+	10.4474i	−0.354743	+	0.338246i
$955$	−4.98278	+	6.61512i	−0.161239	+	0.214060i
$956$	−39.0753	+	54.8736i	−1.26379	+	1.77474i
$957$	27.4971	−	3.28768i	0.888854	−	0.106275i
$958$	−90.1645	+	6.44869i	−2.91308	+	0.208348i
$959$	−30.8388	−	14.4028i	−0.995835	−	0.465089i
$960$	−34.5131	−	27.3079i	−1.11391	−	0.881358i
$961$	−5.02025	−	2.00980i	−0.161943	−	0.0648324i
$962$	28.2867	−	9.04226i	0.911999	−	0.291534i
$963$	−12.7823	+	6.20926i	−0.411904	+	0.200090i
$964$	−13.8709	+	57.1765i	−0.446750	+	1.84153i
$965$	4.67756	−	47.4929i	0.150576	−	1.52885i
$966$	−41.3592	−	11.5453i	−1.33071	−	0.371463i
$967$	41.1554	+	41.1554i	1.32347	+	1.32347i	0.910948	+	0.412521i	$0.135352\pi$
$967$	41.1554	+	41.1554i	1.32347	+	1.32347i	0.412521	+	0.910948i	$0.364648\pi$
$968$	13.3458	+	21.8951i	0.428949	+	0.703735i
$969$	−4.71583	−	1.63216i	−0.151494	−	0.0524326i
$970$	−50.5072	+	10.8300i	−1.62169	+	0.347730i
$971$	17.1050	−	42.7263i	0.548927	−	1.37115i	−0.351518	−	0.936181i	$-0.614334\pi$
$971$	17.1050	−	42.7263i	0.548927	−	1.37115i	0.900444	−	0.434971i	$-0.143241\pi$
$972$	4.46316	+	20.5168i	0.143156	+	0.658077i
$973$	2.31822	−	13.1016i	0.0743188	−	0.420017i
$974$	35.6658	+	30.9046i	1.14281	+	0.990246i
$975$	−12.0914	−	14.1231i	−0.387236	−	0.452301i
$976$	−0.576842	−	0.410767i	−0.0184643	−	0.0131483i
$977$	24.3587	+	14.8474i	0.779305	+	0.475011i	0.852770	−	0.522286i	$-0.174921\pi$
$977$	24.3587	+	14.8474i	0.779305	+	0.475011i	−0.0734648	+	0.997298i	$0.523406\pi$
$978$	0.367983	−	15.4586i	0.0117668	−	0.494311i
$979$	−23.4107	+	10.6913i	−0.748210	+	0.341696i
$980$	23.0911	−	40.3451i	0.737617	−	1.28878i
$981$	−2.60696	−	2.25894i	−0.0832337	−	0.0721225i
$982$	1.20381	−	7.15879i	0.0384151	−	0.228446i
$983$	19.9687	−	18.1527i	0.636902	−	0.578983i	−0.288728	−	0.957411i	$-0.593232\pi$
$983$	19.9687	−	18.1527i	0.636902	−	0.578983i	0.925631	+	0.378429i	$0.123535\pi$
$984$	−11.3738	−	14.4629i	−0.362582	−	0.461061i
$985$	1.21745	−	24.0525i	0.0387913	−	0.766377i
$986$	40.9531	−	35.4860i	1.30421	−	1.13011i
$987$	10.7424	+	17.9672i	0.341936	+	0.571901i
$988$	−2.65436	−	2.65436i	−0.0844464	−	0.0844464i
$989$	−15.9127	−	37.3543i	−0.505994	−	1.18780i
$990$	6.84192	+	15.1004i	0.217451	+	0.479922i
$991$	−14.2939	−	13.6292i	−0.454060	−	0.432945i	0.428217	−	0.903676i	$-0.359142\pi$
$991$	−14.2939	−	13.6292i	−0.454060	−	0.432945i	−0.882277	+	0.470731i	$0.843990\pi$
$992$	−28.5738	−	19.3393i	−0.907218	−	0.614023i
$993$	−6.87408	+	31.5996i	−0.218142	+	1.00278i
$994$	59.3252	−	45.8403i	1.88168	−	1.45397i
$995$	−14.2156	+	1.65683i	−0.450666	+	0.0525250i
$996$	17.1093	−	12.1835i	0.542129	−	0.386049i
$997$	−3.68062	−	5.43812i	−0.116567	−	0.172227i	0.765377	−	0.643583i	$-0.222553\pi$
$997$	−3.68062	−	5.43812i	−0.116567	−	0.172227i	−0.881943	+	0.471356i	$0.843765\pi$
$998$	28.5521	−	66.6756i	0.903802	−	2.11058i
$999$	30.3706	+	2.90004i	0.960882	+	0.0917531i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	805.2.bs.a.37.12	✓	3680
5.3	odd	4	inner	805.2.bs.a.198.81	yes	3680
7.4	even	3	inner	805.2.bs.a.382.12	yes	3680
23.5	odd	22	inner	805.2.bs.a.212.12	yes	3680
35.18	odd	12	inner	805.2.bs.a.543.12	yes	3680
115.28	even	44	inner	805.2.bs.a.373.12	yes	3680
161.74	odd	66	inner	805.2.bs.a.557.81	yes	3680
805.718	even	132	inner	805.2.bs.a.718.12	yes	3680

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
805.2.bs.a.37.12	✓	3680	1.1	even	1	trivial
805.2.bs.a.198.81	yes	3680	5.3	odd	4	inner
805.2.bs.a.212.12	yes	3680	23.5	odd	22	inner
805.2.bs.a.373.12	yes	3680	115.28	even	44	inner
805.2.bs.a.382.12	yes	3680	7.4	even	3	inner
805.2.bs.a.543.12	yes	3680	35.18	odd	12	inner
805.2.bs.a.557.81	yes	3680	161.74	odd	66	inner
805.2.bs.a.718.12	yes	3680	805.718	even	132	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:	\( N \)	\(=\)	\( 805 = 5 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	805.bs (of order \(132\), degree \(40\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.90357 + 1.16029i) q^{2} +(-0.663296 - 1.36545i) q^{3} +(1.36087 - 2.63972i) q^{4} +(2.13191 - 0.674517i) q^{5} +(2.84695 + 1.82963i) q^{6} +(2.60528 + 0.460985i) q^{7} +(0.154245 + 2.15663i) q^{8} +(0.429976 - 0.546759i) q^{9} +O(q^{10})\)	\(q+(-1.90357 + 1.16029i) q^{2} +(-0.663296 - 1.36545i) q^{3} +(1.36087 - 2.63972i) q^{4} +(2.13191 - 0.674517i) q^{5} +(2.84695 + 1.82963i) q^{6} +(2.60528 + 0.460985i) q^{7} +(0.154245 + 2.15663i) q^{8} +(0.429976 - 0.546759i) q^{9} +(-3.27561 + 3.75762i) q^{10} +(4.64639 - 1.12720i) q^{11} +(-4.50707 - 0.107288i) q^{12} +(2.29505 + 0.856010i) q^{13} +(-5.49422 + 2.14536i) q^{14} +(-2.33511 - 2.46362i) q^{15} +(0.649454 + 0.912030i) q^{16} +(4.28527 + 4.71396i) q^{17} +(-0.184093 + 1.53969i) q^{18} +(-0.0245530 - 0.515430i) q^{19} +(1.12071 - 6.54557i) q^{20} +(-1.09862 - 3.86316i) q^{21} +(-7.53686 + 7.53686i) q^{22} +(-4.26685 + 2.18953i) q^{23} +(2.84246 - 1.64110i) q^{24} +(4.09005 - 2.87601i) q^{25} +(-5.36202 + 1.03344i) q^{26} +(-5.48180 - 1.19249i) q^{27} +(4.76232 - 6.24987i) q^{28} +(-2.06283 + 3.20982i) q^{29} +(7.30355 + 1.98028i) q^{30} +(4.96747 + 0.957402i) q^{31} +(-6.26963 - 2.68481i) q^{32} +(-4.62107 - 5.59676i) q^{33} +(-13.6269 - 4.00121i) q^{34} +(5.86516 - 0.774529i) q^{35} +(-0.858149 - 1.87908i) q^{36} +(-5.39981 + 0.645626i) q^{37} +(0.644786 + 0.952670i) q^{38} +(-0.353458 - 3.70158i) q^{39} +(1.78352 + 4.49369i) q^{40} +(-0.797793 - 5.54877i) q^{41} +(6.57369 + 6.07909i) q^{42} +(-0.603971 + 8.44462i) q^{43} +(3.34764 - 13.7991i) q^{44} +(0.547871 - 1.45567i) q^{45} +(5.58177 - 9.11870i) q^{46} +(-5.03453 + 1.34900i) q^{47} +(0.814554 - 1.49175i) q^{48} +(6.57499 + 2.40199i) q^{49} +(-4.44872 + 10.2203i) q^{50} +(3.59428 - 8.97809i) q^{51} +(5.38290 - 4.89338i) q^{52} +(7.52860 + 6.21613i) q^{53} +(11.8186 - 4.09047i) q^{54} +(9.14535 - 5.53716i) q^{55} +(-0.592320 + 5.68972i) q^{56} +(-0.687510 + 0.375409i) q^{57} +(0.202423 - 8.50360i) q^{58} +(-6.05692 - 4.31311i) q^{59} +(-9.68103 + 2.81137i) q^{60} +(-0.597695 + 0.206864i) q^{61} +(-10.5668 + 3.94122i) q^{62} +(1.37226 - 1.22625i) q^{63} +(12.8334 - 1.84516i) q^{64} +(5.47023 + 0.276884i) q^{65} +(15.2904 + 5.29206i) q^{66} +(5.94240 - 0.141455i) q^{67} +(18.2752 - 4.89683i) q^{68} +(5.81988 + 4.37387i) q^{69} +(-10.2661 + 8.27965i) q^{70} +(-12.1961 + 3.58109i) q^{71} +(1.24548 + 0.842963i) q^{72} +(-3.51643 + 1.12408i) q^{73} +(9.52982 - 7.49433i) q^{74} +(-6.63998 - 3.67713i) q^{75} +(-1.39400 - 0.636620i) q^{76} +(12.6248 - 0.794764i) q^{77} +(4.96773 + 6.63611i) q^{78} +(11.3215 + 1.08107i) q^{79} +(1.99975 + 1.50630i) q^{80} +(1.51580 + 6.24821i) q^{81} +(7.95683 + 9.63682i) q^{82} +(-3.72964 + 2.79197i) q^{83} +(-11.6927 - 2.35721i) q^{84} +(12.3154 + 7.15923i) q^{85} +(-8.64849 - 16.7757i) q^{86} +(5.75112 + 0.687631i) q^{87} +(3.14763 + 9.84666i) q^{88} +(-5.28562 + 1.01872i) q^{89} +(0.646079 + 3.40666i) q^{90} +(5.58465 + 3.28813i) q^{91} +(-0.0268832 + 14.2429i) q^{92} +(-1.98762 - 7.41789i) q^{93} +(8.01838 - 8.40943i) q^{94} +(-0.400011 - 1.08229i) q^{95} +(0.492637 + 10.3417i) q^{96} +(8.29548 + 6.20992i) q^{97} +(-15.3030 + 3.05652i) q^{98} +(1.38153 - 3.02512i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 3680 q - 18 q^{2} - 18 q^{3} - 22 q^{5} - 160 q^{6} - 44 q^{7} - 56 q^{8}+O(q^{10}) \) 3680 * q - 18 * q^2 - 18 * q^3 - 22 * q^5 - 160 * q^6 - 44 * q^7 - 56 * q^8	\( 3680 q - 18 q^{2} - 18 q^{3} - 22 q^{5} - 160 q^{6} - 44 q^{7} - 56 q^{8} - 22 q^{10} - 44 q^{11} + 14 q^{12} - 72 q^{13} - 88 q^{15} - 196 q^{16} - 22 q^{17} - 62 q^{18} - 88 q^{20} - 88 q^{21} - 44 q^{23} - 30 q^{25} - 28 q^{26} - 48 q^{27} + 132 q^{28} - 22 q^{30} - 40 q^{31} - 50 q^{32} - 22 q^{33} - 40 q^{35} - 416 q^{36} - 110 q^{37} - 22 q^{38} - 22 q^{40} - 192 q^{41} - 264 q^{42} - 88 q^{43} - 44 q^{47} + 24 q^{48} - 44 q^{51} - 374 q^{52} - 22 q^{53} - 32 q^{55} - 220 q^{56} + 88 q^{57} - 58 q^{58} - 22 q^{60} - 220 q^{61} + 8 q^{62} - 44 q^{63} - 22 q^{65} - 44 q^{66} - 22 q^{67} - 96 q^{70} - 136 q^{71} - 46 q^{72} + 18 q^{73} - 34 q^{75} - 176 q^{76} - 116 q^{77} + 80 q^{78} + 176 q^{80} - 236 q^{81} - 2 q^{82} - 88 q^{83} - 448 q^{85} - 86 q^{87} - 110 q^{88} - 88 q^{90} - 228 q^{92} + 4 q^{93} - 236 q^{95} - 332 q^{96} - 88 q^{97} + 84 q^{98}+O(q^{100}) \) 3680 * q - 18 * q^2 - 18 * q^3 - 22 * q^5 - 160 * q^6 - 44 * q^7 - 56 * q^8 - 22 * q^10 - 44 * q^11 + 14 * q^12 - 72 * q^13 - 88 * q^15 - 196 * q^16 - 22 * q^17 - 62 * q^18 - 88 * q^20 - 88 * q^21 - 44 * q^23 - 30 * q^25 - 28 * q^26 - 48 * q^27 + 132 * q^28 - 22 * q^30 - 40 * q^31 - 50 * q^32 - 22 * q^33 - 40 * q^35 - 416 * q^36 - 110 * q^37 - 22 * q^38 - 22 * q^40 - 192 * q^41 - 264 * q^42 - 88 * q^43 - 44 * q^47 + 24 * q^48 - 44 * q^51 - 374 * q^52 - 22 * q^53 - 32 * q^55 - 220 * q^56 + 88 * q^57 - 58 * q^58 - 22 * q^60 - 220 * q^61 + 8 * q^62 - 44 * q^63 - 22 * q^65 - 44 * q^66 - 22 * q^67 - 96 * q^70 - 136 * q^71 - 46 * q^72 + 18 * q^73 - 34 * q^75 - 176 * q^76 - 116 * q^77 + 80 * q^78 + 176 * q^80 - 236 * q^81 - 2 * q^82 - 88 * q^83 - 448 * q^85 - 86 * q^87 - 110 * q^88 - 88 * q^90 - 228 * q^92 + 4 * q^93 - 236 * q^95 - 332 * q^96 - 88 * q^97 + 84 * q^98

Introduction

L-functions

Modular forms

Varieties

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