LMFDB - Embedded newform 930.2.y.a.29.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(29,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 3]))

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

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

chi := DirichletCharacter("930.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.y (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$32$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			29.6
Character	$\chi$	$=$	930.29
Dual form			930.2.y.a.449.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(-1.51893 + 0.832372i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.72517 - 1.42260i) q^{5} +(1.71810 + 0.219404i) q^{6} +(0.914445 - 0.297121i) q^{7} +(0.309017 - 0.951057i) q^{8} +(1.61431 - 2.52863i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(-1.51893 + 0.832372i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.72517 - 1.42260i) q^{5} +(1.71810 + 0.219404i) q^{6} +(0.914445 - 0.297121i) q^{7} +(0.309017 - 0.951057i) q^{8} +(1.61431 - 2.52863i) q^{9} +(-2.23187 + 0.136884i) q^{10} +(-1.31924 - 4.06020i) q^{11} +(-1.26101 - 1.18737i) q^{12} +(-4.29369 + 3.11955i) q^{13} +(-0.914445 - 0.297121i) q^{14} +(-1.43627 + 3.59682i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-4.11281 - 1.33633i) q^{17} +(-2.79230 + 1.09684i) q^{18} +(-3.39964 - 2.46998i) q^{19} +(1.88608 + 1.20112i) q^{20} +(-1.14167 + 1.21247i) q^{21} +(-1.31924 + 4.06020i) q^{22} +(8.17154 + 2.65510i) q^{23} +(0.322256 + 1.70181i) q^{24} +(0.952392 - 4.90846i) q^{25} +5.30729 q^{26} +(-0.347272 + 5.18453i) q^{27} +(0.565158 + 0.777874i) q^{28} +(0.531008 + 0.385800i) q^{29} +(3.27613 - 2.06567i) q^{30} +(5.48547 - 0.953751i) q^{31} +1.00000 q^{32} +(5.38343 + 5.06908i) q^{33} +(2.54186 + 3.49856i) q^{34} +(1.15488 - 1.81348i) q^{35} +(2.90372 + 0.753914i) q^{36} -11.5866 q^{37} +(1.29855 + 3.99651i) q^{38} +(3.92520 - 8.31233i) q^{39} +(-0.819872 - 2.08034i) q^{40} +(-3.51204 + 4.83391i) q^{41} +(1.63630 - 0.309851i) q^{42} +(-3.99229 - 2.90057i) q^{43} +(3.45381 - 2.50934i) q^{44} +(-0.812286 - 6.65884i) q^{45} +(-5.05029 - 6.95113i) q^{46} +(-1.31333 + 0.954190i) q^{47} +(0.739587 - 1.56621i) q^{48} +(-4.91519 + 3.57109i) q^{49} +(-3.65562 + 3.41122i) q^{50} +(7.35941 - 1.39359i) q^{51} +(-4.29369 - 3.11955i) q^{52} +(-9.64977 - 3.13540i) q^{53} +(3.32834 - 3.99026i) q^{54} +(-8.05197 - 5.12776i) q^{55} -0.961505i q^{56} +(7.21976 + 0.921973i) q^{57} +(-0.202827 - 0.624237i) q^{58} +(-5.34618 - 7.35839i) q^{59} +(-3.86461 - 0.254500i) q^{60} -2.74710i q^{61} +(-4.99844 - 2.45268i) q^{62} +(0.724891 - 2.79194i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-2.96944 + 11.4900i) q^{65} +(-1.37576 - 7.26527i) q^{66} -6.69091i q^{67} -4.32446i q^{68} +(-14.6221 + 2.76885i) q^{69} +(-2.00026 + 0.788311i) q^{70} +(3.52318 + 1.14475i) q^{71} +(-1.90602 - 2.31670i) q^{72} +(1.08376 + 3.33548i) q^{73} +(9.37376 + 6.81043i) q^{74} +(2.63904 + 8.24836i) q^{75} +(1.29855 - 3.99651i) q^{76} +(-2.41274 - 3.32086i) q^{77} +(-8.06142 + 4.41764i) q^{78} +(-6.26135 - 2.03444i) q^{79} +(-0.559502 + 2.16494i) q^{80} +(-3.78798 - 8.16402i) q^{81} +(5.68261 - 1.84639i) q^{82} +(4.99843 - 6.87975i) q^{83} +(-1.50592 - 0.711116i) q^{84} +(-8.99635 + 3.54551i) q^{85} +(1.52492 + 4.69321i) q^{86} +(-1.12769 - 0.144008i) q^{87} -4.26915 q^{88} +(-2.62990 - 8.09401i) q^{89} +(-3.25682 + 5.86457i) q^{90} +(-2.99946 + 4.12840i) q^{91} +8.59207i q^{92} +(-7.53818 + 6.01463i) q^{93} +1.62336 q^{94} +(-9.37874 + 0.575213i) q^{95} +(-1.51893 + 0.832372i) q^{96} +(13.1863 - 4.28449i) q^{97} +6.07551 q^{98} +(-12.3964 - 3.21857i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 32 q^{2} - 32 q^{4} + 2 q^{5} - 32 q^{8} - 4 q^{9}+O(q^{10}) $ 128 * q - 32 * q^2 - 32 * q^4 + 2 * q^5 - 32 * q^8 - 4 * q^9	$ 128 q - 32 q^{2} - 32 q^{4} + 2 q^{5} - 32 q^{8} - 4 q^{9} + 2 q^{10} + 25 q^{15} - 32 q^{16} + 6 q^{18} - 8 q^{19} - 3 q^{20} - 20 q^{23} - 10 q^{25} - 48 q^{31} + 128 q^{32} - 8 q^{33} + 10 q^{34} + 16 q^{35} - 4 q^{36} + 12 q^{38} + 4 q^{39} - 3 q^{40} + 37 q^{45} + 10 q^{46} + 6 q^{47} + 46 q^{49} - 5 q^{50} + 34 q^{51} - 20 q^{53} - 25 q^{60} - 8 q^{62} + 36 q^{63} - 32 q^{64} - 8 q^{66} + 8 q^{69} + 16 q^{70} + 6 q^{72} + 5 q^{75} + 12 q^{76} + 50 q^{77} + 4 q^{78} - 10 q^{79} + 2 q^{80} - 24 q^{81} - 40 q^{83} - 30 q^{85} - 4 q^{87} - 53 q^{90} + 20 q^{91} - 26 q^{93} - 4 q^{94} - 26 q^{95} - 124 q^{98}+O(q^{100}) $ 128 * q - 32 * q^2 - 32 * q^4 + 2 * q^5 - 32 * q^8 - 4 * q^9 + 2 * q^10 + 25 * q^15 - 32 * q^16 + 6 * q^18 - 8 * q^19 - 3 * q^20 - 20 * q^23 - 10 * q^25 - 48 * q^31 + 128 * q^32 - 8 * q^33 + 10 * q^34 + 16 * q^35 - 4 * q^36 + 12 * q^38 + 4 * q^39 - 3 * q^40 + 37 * q^45 + 10 * q^46 + 6 * q^47 + 46 * q^49 - 5 * q^50 + 34 * q^51 - 20 * q^53 - 25 * q^60 - 8 * q^62 + 36 * q^63 - 32 * q^64 - 8 * q^66 + 8 * q^69 + 16 * q^70 + 6 * q^72 + 5 * q^75 + 12 * q^76 + 50 * q^77 + 4 * q^78 - 10 * q^79 + 2 * q^80 - 24 * q^81 - 40 * q^83 - 30 * q^85 - 4 * q^87 - 53 * q^90 + 20 * q^91 - 26 * q^93 - 4 * q^94 - 26 * q^95 - 124 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{3}{10}\right)$

Coefficient data

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

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

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

$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$3$	−1.51893	+	0.832372i	−0.876956	+	0.480570i
$3$	−1.51893	+	0.832372i	−0.876956	+	0.480570i
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	1.72517	−	1.42260i	0.771517	−	0.636208i
$5$	1.72517	−	1.42260i	0.771517	−	0.636208i
$6$	1.71810	+	0.219404i	0.701411	+	0.0895711i
$7$	0.914445	−	0.297121i	0.345628	−	0.112301i	−0.131059	−	0.991375i	$-0.541838\pi$
$7$	0.914445	−	0.297121i	0.345628	−	0.112301i	0.476687	+	0.879073i	$0.341838\pi$
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	1.61431	−	2.52863i	0.538105	−	0.842878i
$10$	−2.23187	+	0.136884i	−0.705781	+	0.0432867i
$11$	−1.31924	−	4.06020i	−0.397766	−	1.22420i	−0.926787	−	0.375588i	$-0.877441\pi$
$11$	−1.31924	−	4.06020i	−0.397766	−	1.22420i	0.529021	−	0.848609i	$-0.322559\pi$
$12$	−1.26101	−	1.18737i	−0.364022	−	0.342765i
$13$	−4.29369	+	3.11955i	−1.19086	+	0.865207i	−0.993354	−	0.115096i	$-0.963283\pi$
$13$	−4.29369	+	3.11955i	−1.19086	+	0.865207i	−0.197501	+	0.980303i	$0.563283\pi$
$14$	−0.914445	−	0.297121i	−0.244396	−	0.0794090i
$15$	−1.43627	+	3.59682i	−0.370845	+	0.928695i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−4.11281	−	1.33633i	−0.997503	−	0.324108i	−0.235635	−	0.971842i	$-0.575717\pi$
$17$	−4.11281	−	1.33633i	−0.997503	−	0.324108i	−0.761867	+	0.647733i	$0.775717\pi$
$18$	−2.79230	+	1.09684i	−0.658152	+	0.258527i
$19$	−3.39964	−	2.46998i	−0.779930	−	0.566652i	0.125028	−	0.992153i	$-0.460098\pi$
$19$	−3.39964	−	2.46998i	−0.779930	−	0.566652i	−0.904958	+	0.425501i	$0.860098\pi$
$20$	1.88608	+	1.20112i	0.421741	+	0.268579i
$21$	−1.14167	+	1.21247i	−0.249132	+	0.264582i
$22$	−1.31924	+	4.06020i	−0.281263	+	0.865638i
$23$	8.17154	+	2.65510i	1.70388	+	0.553626i	0.989296	−	0.145920i	$-0.0466141\pi$
$23$	8.17154	+	2.65510i	1.70388	+	0.553626i	0.714588	+	0.699545i	$0.246614\pi$
$24$	0.322256	+	1.70181i	0.0657803	+	0.347380i
$25$	0.952392	−	4.90846i	0.190478	−	0.981691i
$26$	5.30729			1.04085
$27$	−0.347272	+	5.18453i	−0.0668326	+	0.997764i
$28$	0.565158	+	0.777874i	0.106805	+	0.147004i
$29$	0.531008	+	0.385800i	0.0986056	+	0.0716412i	0.635996	−	0.771693i	$-0.280590\pi$
$29$	0.531008	+	0.385800i	0.0986056	+	0.0716412i	−0.537390	+	0.843334i	$0.680590\pi$
$30$	3.27613	−	2.06567i	0.598137	−	0.377138i
$31$	5.48547	−	0.953751i	0.985219	−	0.171299i
$31$	5.48547	−	0.953751i	0.985219	−	0.171299i
$32$	1.00000			0.176777
$33$	5.38343	+	5.06908i	0.937135	+	0.882413i
$34$	2.54186	+	3.49856i	0.435925	+	0.599999i
$35$	1.15488	−	1.81348i	0.195211	−	0.306534i
$36$	2.90372	+	0.753914i	0.483954	+	0.125652i
$37$	−11.5866			−1.90483			−0.952413	−	0.304811i	$-0.901407\pi$
$37$	−11.5866			−1.90483			−0.952413	+	0.304811i	$0.901407\pi$
$38$	1.29855	+	3.99651i	0.210652	+	0.648320i
$39$	3.92520	−	8.31233i	0.628536	−	1.33104i
$40$	−0.819872	−	2.08034i	−0.129633	−	0.328930i
$41$	−3.51204	+	4.83391i	−0.548489	+	0.754930i	−0.989806	−	0.142421i	$-0.954511\pi$
$41$	−3.51204	+	4.83391i	−0.548489	+	0.754930i	0.441317	+	0.897351i	$0.354511\pi$
$42$	1.63630	−	0.309851i	0.252486	−	0.0478111i
$43$	−3.99229	−	2.90057i	−0.608818	−	0.442332i	0.240180	−	0.970728i	$-0.422794\pi$
$43$	−3.99229	−	2.90057i	−0.608818	−	0.442332i	−0.848998	+	0.528396i	$0.822794\pi$
$44$	3.45381	−	2.50934i	0.520682	−	0.378298i
$45$	−0.812286	−	6.65884i	−0.121088	−	0.992642i
$46$	−5.05029	−	6.95113i	−0.744625	−	1.02489i
$47$	−1.31333	+	0.954190i	−0.191569	+	0.139183i	−0.679435	−	0.733735i	$-0.737775\pi$
$47$	−1.31333	+	0.954190i	−0.191569	+	0.139183i	0.487867	+	0.872918i	$0.337775\pi$
$48$	0.739587	−	1.56621i	0.106750	−	0.226063i
$49$	−4.91519	+	3.57109i	−0.702170	+	0.510156i
$50$	−3.65562	+	3.41122i	−0.516983	+	0.482420i
$51$	7.35941	−	1.39359i	1.03052	−	0.195141i
$52$	−4.29369	−	3.11955i	−0.595428	−	0.432604i
$53$	−9.64977	−	3.13540i	−1.32550	−	0.430681i	−0.441119	−	0.897449i	$-0.645418\pi$
$53$	−9.64977	−	3.13540i	−1.32550	−	0.430681i	−0.884380	+	0.466768i	$0.845418\pi$
$54$	3.32834	−	3.99026i	0.452930	−	0.543005i
$55$	−8.05197	−	5.12776i	−1.08573	−	0.691427i
$56$		−	0.961505i		−	0.128486i
$57$	7.21976	+	0.921973i	0.956281	+	0.122118i
$58$	−0.202827	−	0.624237i	−0.0266325	−	0.0819663i
$59$	−5.34618	−	7.35839i	−0.696014	−	0.957981i	−0.999986	−	0.00530000i	$-0.998313\pi$
$59$	−5.34618	−	7.35839i	−0.696014	−	0.957981i	0.303972	−	0.952681i	$-0.401687\pi$
$60$	−3.86461	−	0.254500i	−0.498919	−	0.0328558i
$61$		−	2.74710i		−	0.351731i	−0.984414	−	0.175865i	$-0.943728\pi$
$61$		−	2.74710i		−	0.351731i	0.984414	−	0.175865i	$-0.0562723\pi$
$62$	−4.99844	−	2.45268i	−0.634802	−	0.311490i
$63$	0.724891	−	2.79194i	0.0913277	−	0.351752i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−2.96944	+	11.4900i	−0.368314	+	1.42515i
$66$	−1.37576	−	7.26527i	−0.169344	−	0.894293i
$67$		−	6.69091i		−	0.817425i	−0.912663	−	0.408712i	$-0.865978\pi$
$67$		−	6.69091i		−	0.817425i	0.912663	−	0.408712i	$-0.134022\pi$
$68$		−	4.32446i		−	0.524418i
$69$	−14.6221	+	2.76885i	−1.76029	+	0.333330i
$70$	−2.00026	+	0.788311i	−0.239076	+	0.0942211i
$71$	3.52318	+	1.14475i	0.418124	+	0.135857i	0.510521	−	0.859866i	$-0.329453\pi$
$71$	3.52318	+	1.14475i	0.418124	+	0.135857i	−0.0923964	+	0.995722i	$0.529453\pi$
$72$	−1.90602	−	2.31670i	−0.224627	−	0.273025i
$73$	1.08376	+	3.33548i	0.126845	+	0.390389i	0.994233	−	0.107244i	$-0.0342026\pi$
$73$	1.08376	+	3.33548i	0.126845	+	0.390389i	−0.867388	+	0.497633i	$0.834203\pi$
$74$	9.37376	+	6.81043i	1.08968	+	0.791697i
$75$	2.63904	+	8.24836i	0.304730	+	0.952439i
$76$	1.29855	−	3.99651i	0.148953	−	0.458431i
$77$	−2.41274	−	3.32086i	−0.274958	−	0.378447i
$78$	−8.06142	+	4.41764i	−0.912776	+	0.500199i
$79$	−6.26135	−	2.03444i	−0.704457	−	0.228892i	−0.0651857	−	0.997873i	$-0.520764\pi$
$79$	−6.26135	−	2.03444i	−0.704457	−	0.228892i	−0.639271	+	0.768981i	$0.720764\pi$
$80$	−0.559502	+	2.16494i	−0.0625543	+	0.242047i
$81$	−3.78798	−	8.16402i	−0.420886	−	0.907113i
$82$	5.68261	−	1.84639i	0.627539	−	0.203900i
$83$	4.99843	−	6.87975i	0.548649	−	0.755151i	−0.441179	−	0.897419i	$-0.645440\pi$
$83$	4.99843	−	6.87975i	0.548649	−	0.755151i	0.989828	+	0.142268i	$0.0454395\pi$
$84$	−1.50592	−	0.711116i	−0.164309	−	0.0775891i
$85$	−8.99635	+	3.54551i	−0.975791	+	0.384564i
$86$	1.52492	+	4.69321i	0.164436	+	0.506082i
$87$	−1.12769	−	0.144008i	−0.120901	−	0.0154393i
$88$	−4.26915			−0.455093
$89$	−2.62990	−	8.09401i	−0.278769	−	0.857963i	−0.988197	−	0.153185i	$-0.951047\pi$
$89$	−2.62990	−	8.09401i	−0.278769	−	0.857963i	0.709428	−	0.704778i	$-0.248953\pi$
$90$	−3.25682	+	5.86457i	−0.343299	+	0.618180i
$91$	−2.99946	+	4.12840i	−0.314429	+	0.432774i
$92$			8.59207i			0.895785i
$93$	−7.53818	+	6.01463i	−0.781673	+	0.623688i
$94$	1.62336			0.167437
$95$	−9.37874	+	0.575213i	−0.962239	+	0.0590156i
$96$	−1.51893	+	0.832372i	−0.155025	+	0.0849536i
$97$	13.1863	−	4.28449i	1.33887	−	0.435024i	0.449934	−	0.893062i	$-0.351447\pi$
$97$	13.1863	−	4.28449i	1.33887	−	0.435024i	0.888933	+	0.458037i	$0.151447\pi$
$98$	6.07551			0.613719
$99$	−12.3964	−	3.21857i	−1.24589	−	0.323478i
$100$	4.96253	−	0.611018i	0.496253	−	0.0611018i
$101$	6.25672	+	2.03293i	0.622567	+	0.202284i	0.603280	−	0.797530i	$-0.293860\pi$
$101$	6.25672	+	2.03293i	0.622567	+	0.202284i	0.0192872	+	0.999814i	$0.493860\pi$
$102$	−6.77301	−	3.19832i	−0.670628	−	0.316680i
$103$	−5.39534	+	7.42605i	−0.531619	+	0.731710i	−0.987376	−	0.158394i	$-0.949368\pi$
$103$	−5.39534	+	7.42605i	−0.531619	+	0.731710i	0.455757	+	0.890104i	$0.349368\pi$
$104$	1.64004	+	5.04754i	0.160820	+	0.494952i
$105$	−0.244703	+	3.71584i	−0.0238806	+	0.362629i
$106$	5.96389	+	8.20859i	0.579264	+	0.797289i
$107$	5.84901	−	18.0014i	0.565445	−	1.74026i	−0.101181	−	0.994868i	$-0.532262\pi$
$107$	5.84901	−	18.0014i	0.565445	−	1.74026i	0.666626	−	0.745392i	$-0.267738\pi$
$108$	−5.03810	+	1.27183i	−0.484791	+	0.122382i
$109$	−11.8543	+	8.61265i	−1.13544	+	0.824943i	−0.986477	−	0.163901i	$-0.947592\pi$
$109$	−11.8543	+	8.61265i	−1.13544	+	0.824943i	−0.148959	+	0.988843i	$0.547592\pi$
$110$	3.50015	+	8.88128i	0.333727	+	0.846796i
$111$	17.5993	−	9.64436i	1.67045	−	0.915402i
$112$	−0.565158	+	0.777874i	−0.0534024	+	0.0735021i
$113$	−4.76120	−	14.6535i	−0.447896	−	1.37848i	−0.879277	−	0.476311i	$-0.841974\pi$
$113$	−4.76120	−	14.6535i	−0.447896	−	1.37848i	0.431381	−	0.902170i	$-0.358026\pi$
$114$	−5.29899	−	4.98956i	−0.496296	−	0.467315i
$115$	17.8744	−	7.04440i	1.66680	−	0.656893i
$116$	−0.202827	+	0.624237i	−0.0188320	+	0.0579589i
$117$	0.956829	+	15.8931i	0.0884588	+	1.46932i
$118$			9.09547i			0.837306i
$119$	−4.15799			−0.381162
$120$	2.97695	+	2.47746i	0.271757	+	0.226160i
$121$	−5.84566	+	4.24712i	−0.531423	+	0.386102i
$122$	−1.61471	+	2.22245i	−0.146189	+	0.201211i
$123$	1.31095	−	10.2657i	0.118204	−	0.925628i
$124$	2.60217	+	4.92226i	0.233682	+	0.442032i
$125$	−5.33976	−	9.82278i	−0.477603	−	0.878576i
$126$	−2.22751	+	1.83265i	−0.198443	+	0.163265i
$127$	−12.9959	+	9.44210i	−1.15320	+	0.837851i	−0.988904	−	0.148559i	$-0.952536\pi$
$127$	−12.9959	+	9.44210i	−1.15320	+	0.837851i	−0.164300	+	0.986410i	$0.552536\pi$
$128$	0.309017	+	0.951057i	0.0273135	+	0.0840623i
$129$	8.47836	+	1.08270i	0.746478	+	0.0953263i
$130$	9.15596	−	7.55018i	0.803031	−	0.662195i
$131$	14.5380	−	4.72367i	1.27019	−	0.412709i	0.405073	−	0.914284i	$-0.367246\pi$
$131$	14.5380	−	4.72367i	1.27019	−	0.412709i	0.865114	+	0.501575i	$0.167246\pi$
$132$	−3.15741	+	6.68638i	−0.274817	+	0.581975i
$133$	−3.84267	−	1.24856i	−0.333201	−	0.108264i
$134$	−3.93282	+	5.41306i	−0.339744	+	0.467617i
$135$	6.77644	+	9.43821i	0.583223	+	0.812312i
$136$	−2.54186	+	3.49856i	−0.217962	+	0.299999i
$137$	−8.84006	−	12.1673i	−0.755257	−	1.03952i	−0.997594	−	0.0693300i	$-0.977914\pi$
$137$	−8.84006	−	12.1673i	−0.755257	−	1.03952i	0.242337	−	0.970192i	$-0.422086\pi$
$138$	13.4570	+	6.35458i	1.14553	+	0.540938i
$139$	10.8675	+	14.9578i	0.921765	+	1.26870i	0.962986	+	0.269551i	$0.0868753\pi$
$139$	10.8675	+	14.9578i	0.921765	+	1.26870i	−0.0412206	+	0.999150i	$0.513125\pi$
$140$	2.08160	+	0.537964i	0.175927	+	0.0454663i
$141$	1.20062	−	2.54253i	0.101110	−	0.214120i
$142$	−2.17744	−	2.99699i	−0.182727	−	0.251502i
$143$	18.3304	+	13.3178i	1.53287	+	1.11369i
$144$	0.180286	+	2.99458i	0.0150238	+	0.249548i
$145$	1.46492	−	0.0898457i	0.121655	−	0.00746128i
$146$	1.08376	−	3.33548i	0.0896930	−	0.276047i
$147$	4.49337	−	9.51552i	0.370607	−	0.784827i
$148$	−3.58046	−	11.0195i	−0.294312	−	0.905798i
$149$			3.06406i			0.251017i	0.992093	+	0.125509i	$0.0400563\pi$
$149$			3.06406i			0.251017i	−0.992093	+	0.125509i	$0.959944\pi$
$150$	2.71324	−	8.22425i	0.221535	−	0.671507i
$151$	−9.54214	+	3.10043i	−0.776528	+	0.252309i	−0.670357	−	0.742038i	$-0.733859\pi$
$151$	−9.54214	+	3.10043i	−0.776528	+	0.252309i	−0.106171	+	0.994348i	$0.533859\pi$
$152$	−3.39964	+	2.46998i	−0.275747	+	0.200342i
$153$	−10.0185	+	8.24253i	−0.809945	+	0.666369i
$154$			4.10481i			0.330775i
$155$	8.10653	−	9.44903i	0.651132	−	0.758964i
$156$	9.11845	+	1.16444i	0.730060	+	0.0932297i
$157$	12.3009	−	16.9308i	0.981722	−	1.35122i	0.0458248	−	0.998949i	$-0.485408\pi$
$157$	12.3009	−	16.9308i	0.981722	−	1.35122i	0.935897	−	0.352274i	$-0.114592\pi$
$158$	3.86973	+	5.32622i	0.307859	+	0.423732i
$159$	17.2672	−	3.26973i	1.36938	−	0.259307i
$160$	1.72517	−	1.42260i	0.136386	−	0.112467i
$161$	8.26131			0.651083
$162$	−1.73415	+	8.83135i	−0.136248	+	0.693856i
$163$	5.13641	+	1.66892i	0.402314	+	0.130720i	0.503183	−	0.864180i	$-0.332162\pi$
$163$	5.13641	+	1.66892i	0.402314	+	0.130720i	−0.100869	+	0.994900i	$0.532162\pi$
$164$	−5.68261	−	1.84639i	−0.443737	−	0.144179i
$165$	16.4986	+	1.08650i	1.28441	+	0.0845838i
$166$	−8.08764	+	2.62783i	−0.627722	+	0.203959i
$167$	−5.04830	+	6.94839i	−0.390649	+	0.537683i	−0.958367	−	0.285541i	$-0.907827\pi$
$167$	−5.04830	+	6.94839i	−0.390649	+	0.537683i	0.567717	+	0.823224i	$0.307827\pi$
$168$	0.800329	+	1.46046i	0.0617467	+	0.112677i
$169$	4.68697	−	14.4250i	0.360536	−	1.10962i
$170$	9.36220	+	2.41955i	0.718048	+	0.185571i
$171$	−11.7338	+	4.60911i	−0.897303	+	0.352467i
$172$	1.52492	−	4.69321i	0.116274	−	0.357854i
$173$	−16.1328	+	11.7212i	−1.22656	+	0.891145i	−0.996627	−	0.0820619i	$-0.973849\pi$
$173$	−16.1328	+	11.7212i	−1.22656	+	0.891145i	−0.229929	+	0.973207i	$0.573849\pi$
$174$	0.827678	+	0.779347i	0.0627461	+	0.0590821i
$175$	−0.587496	−	4.77149i	−0.0444105	−	0.360691i
$176$	3.45381	+	2.50934i	0.260341	+	0.189149i
$177$	14.2454	+	6.72689i	1.07075	+	0.505624i
$178$	−2.62990	+	8.09401i	−0.197120	+	0.606671i
$179$	1.18900	+	3.65938i	0.0888703	+	0.273515i	0.985608	−	0.169048i	$-0.0540694\pi$
$179$	1.18900	+	3.65938i	0.0888703	+	0.273515i	−0.896738	+	0.442563i	$0.854069\pi$
$180$	6.08193	−	2.83023i	0.453320	−	0.210953i
$181$			7.10327i			0.527982i	0.964525	+	0.263991i	$0.0850389\pi$
$181$			7.10327i			0.527982i	−0.964525	+	0.263991i	$0.914961\pi$
$182$	4.85323	−	1.57691i	0.359745	−	0.116888i
$183$	2.28661	+	4.17267i	0.169031	+	0.308452i
$184$	5.05029	−	6.95113i	0.372312	−	0.512444i
$185$	−19.9888	+	16.4832i	−1.46961	+	1.21187i
$186$	9.63383	−	0.435107i	0.706387	−	0.0319036i
$187$			18.4618i			1.35006i
$188$	−1.31333	−	0.954190i	−0.0957844	−	0.0695914i
$189$	1.22287	+	4.84416i	0.0889510	+	0.352360i
$190$	7.92566	+	5.04733i	0.574988	+	0.366172i
$191$		−	1.07999i		−	0.0781451i	−0.999236	−	0.0390726i	$-0.987560\pi$
$191$		−	1.07999i		−	0.0781451i	0.999236	−	0.0390726i	$-0.0124404\pi$
$192$	1.71810	+	0.219404i	0.123993	+	0.0158341i
$193$	7.34154	−	2.38541i	0.528455	−	0.171706i	−0.0326238	−	0.999468i	$-0.510386\pi$
$193$	7.34154	−	2.38541i	0.528455	−	0.171706i	0.561079	+	0.827762i	$0.310386\pi$
$194$	−13.1863	−	4.28449i	−0.946722	−	0.307609i
$195$	−5.05353	−	19.9242i	−0.361891	−	1.42680i
$196$	−4.91519	−	3.57109i	−0.351085	−	0.255078i
$197$	−13.6357	+	4.43051i	−0.971504	+	0.315661i	−0.751423	−	0.659821i	$-0.770632\pi$
$197$	−13.6357	+	4.43051i	−0.971504	+	0.315661i	−0.220081	+	0.975482i	$0.570632\pi$
$198$	8.13709	+	9.89032i	0.578278	+	0.702874i
$199$	5.76768	+	7.93854i	0.408860	+	0.562748i	0.962940	−	0.269716i	$-0.0869297\pi$
$199$	5.76768	+	7.93854i	0.408860	+	0.562748i	−0.554080	+	0.832464i	$0.686930\pi$
$200$	−4.37391	−	2.42258i	−0.309282	−	0.171302i
$201$	5.56932	+	10.1630i	0.392830	+	0.716846i
$202$	−3.86687	−	5.32228i	−0.272072	−	0.374475i
$203$	0.600207	+	0.195019i	0.0421263	+	0.0136876i
$204$	3.59956	+	6.56857i	0.252020	+	0.459892i
$205$	0.817891	+	13.3355i	0.0571240	+	0.931395i
$206$	8.72984	−	2.83650i	0.608237	−	0.197628i
$207$	19.9052	−	16.3767i	1.38351	−	1.13826i
$208$	1.64004	−	5.04754i	0.113717	−	0.349984i
$209$	−5.54368	+	17.0617i	−0.383465	+	1.18018i
$210$	2.38209	−	2.86235i	0.164380	−	0.197521i
$211$	−5.34175			−0.367741			−0.183871	−	0.982950i	$-0.558863\pi$
$211$	−5.34175			−0.367741			−0.183871	+	0.982950i	$0.558863\pi$
$212$		−	10.1464i		−	0.696856i
$213$	−6.30433	+	1.19380i	−0.431965	+	0.0817975i
$214$	−15.3129	+	11.1255i	−1.04677	+	0.760522i
$215$	−11.0137	+	0.675489i	−0.751129	+	0.0460679i
$216$	4.82347	+	1.93239i	0.328196	+	0.131482i
$217$	4.73278	−	2.50200i	0.321282	−	0.169847i
$218$	14.6527			0.992407
$219$	−4.42253	−	4.16428i	−0.298847	−	0.281396i
$220$	2.38860	−	9.24244i	0.161039	−	0.623125i
$221$	21.8279	−	7.09231i	1.46830	−	0.477080i
$222$	−19.9069	−	2.54214i	−1.33607	−	0.170617i
$223$	−5.52002			−0.369648			−0.184824	−	0.982772i	$-0.559172\pi$
$223$	−5.52002			−0.369648			−0.184824	+	0.982772i	$0.559172\pi$
$224$	0.914445	−	0.297121i	0.0610989	−	0.0198523i
$225$	−10.8742	−	10.3320i	−0.724949	−	0.688803i
$226$	−4.76120	+	14.6535i	−0.316710	+	0.974733i
$227$	9.32119	+	6.77224i	0.618669	+	0.449489i	0.852456	−	0.522798i	$-0.175112\pi$
$227$	9.32119	+	6.77224i	0.618669	+	0.449489i	−0.233787	+	0.972288i	$0.575112\pi$
$228$	1.35418	+	7.15131i	0.0896828	+	0.473607i
$229$	2.80773	−	3.86451i	0.185540	−	0.255374i	−0.706107	−	0.708105i	$-0.749550\pi$
$229$	2.80773	−	3.86451i	0.185540	−	0.255374i	0.891647	+	0.452731i	$0.149550\pi$
$230$	−18.6013	−	4.80728i	−1.22653	−	0.316983i
$231$	6.42899	+	3.03586i	0.422996	+	0.199745i
$232$	0.531008	−	0.385800i	0.0348624	−	0.0253290i
$233$	4.86747	−	3.53642i	0.318879	−	0.231679i	−0.416818	−	0.908990i	$-0.636855\pi$
$233$	4.86747	−	3.53642i	0.318879	−	0.231679i	0.735697	+	0.677311i	$0.236855\pi$
$234$	8.56764	−	13.4202i	0.560084	−	0.877306i
$235$	−0.908276	+	3.51448i	−0.0592494	+	0.229260i
$236$	5.34618	−	7.35839i	0.348007	−	0.478990i
$237$	11.2040	−	2.12160i	0.727777	−	0.137813i
$238$	3.36389	+	2.44401i	0.218048	+	0.158421i
$239$	6.75114	−	20.7779i	0.436695	−	1.34401i	−0.454645	−	0.890673i	$-0.650234\pi$
$239$	6.75114	−	20.7779i	0.436695	−	1.34401i	0.891340	−	0.453336i	$-0.149766\pi$
$240$	−0.952187	−	3.75411i	−0.0614634	−	0.242327i
$241$	21.9440	−	7.13003i	1.41354	−	0.459285i	0.499993	−	0.866029i	$-0.333336\pi$
$241$	21.9440	−	7.13003i	1.41354	−	0.459285i	0.913542	+	0.406744i	$0.133336\pi$
$242$	7.22563			0.464481
$243$	12.5492	+	9.24760i	0.805030	+	0.593234i
$244$	2.61265	−	0.848902i	0.167258	−	0.0543454i
$245$	−3.39926	+	13.1531i	−0.217171	+	0.840321i
$246$	−7.09461	+	7.53458i	−0.452336	+	0.480387i
$247$	22.3022			1.41906
$248$	0.788032	−	5.51172i	0.0500401	−	0.349994i
$249$	−1.86577	+	14.6104i	−0.118239	+	0.925899i
$250$	−1.45373	+	11.0854i	−0.0919419	+	0.701104i
$251$	17.4626	−	12.6873i	1.10223	−	0.800818i	0.120809	−	0.992676i	$-0.461451\pi$
$251$	17.4626	−	12.6873i	1.10223	−	0.800818i	0.981423	+	0.191858i	$0.0614512\pi$
$252$	2.87930	−	0.173345i	0.181379	−	0.0109197i
$253$		−	36.6808i		−	2.30610i
$254$	16.0639			1.00794
$255$	10.7137	−	12.8737i	0.670916	−	0.806182i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−1.35302	+	4.16417i	−0.0843992	+	0.259754i	−0.984346	−	0.176245i	$-0.943605\pi$
$257$	−1.35302	+	4.16417i	−0.0843992	+	0.259754i	0.899947	+	0.435999i	$0.143605\pi$
$258$	−6.22275	−	5.85938i	−0.387411	−	0.364789i
$259$	−10.5953	+	3.44263i	−0.658361	+	0.213914i
$260$	−11.8452	+	0.726486i	−0.734609	+	0.0450547i
$261$	1.83276	−	0.719922i	0.113445	−	0.0445620i
$262$	−14.5380	−	4.72367i	−0.898158	−	0.291829i
$263$	−6.33275	−	8.71629i	−0.390494	−	0.537469i	0.567832	−	0.823144i	$-0.307782\pi$
$263$	−6.33275	−	8.71629i	−0.390494	−	0.537469i	−0.958327	+	0.285675i	$0.907782\pi$
$264$	6.48455	−	3.55352i	0.399096	−	0.218704i
$265$	−21.1079	+	8.31873i	−1.29665	+	0.511015i
$266$	2.37490	+	3.26877i	0.145614	+	0.200421i
$267$	10.7319	+	10.1052i	0.656780	+	0.618428i
$268$	6.36343	−	2.06760i	0.388708	−	0.126299i
$269$	5.69593	+	4.13833i	0.347287	+	0.252319i	0.747730	−	0.664003i	$-0.231144\pi$
$269$	5.69593	+	4.13833i	0.347287	+	0.252319i	−0.400443	+	0.916322i	$0.631144\pi$
$270$	0.0653863	−	11.6188i	0.00397929	−	0.707096i
$271$	6.47908	+	2.10518i	0.393576	+	0.127881i	0.499118	−	0.866534i	$-0.333658\pi$
$271$	6.47908	+	2.10518i	0.393576	+	0.127881i	−0.105541	+	0.994415i	$0.533658\pi$
$272$	4.11281	−	1.33633i	0.249376	−	0.0810271i
$273$	1.11961	−	8.76743i	0.0677621	−	0.530629i
$274$			15.0396i			0.908576i
$275$	−21.1858	+	2.60852i	−1.27755	+	0.157300i
$276$	−7.15180	−	13.0508i	−0.430487	−	0.785564i
$277$	15.5890	+	11.3261i	0.936655	+	0.680519i	0.947613	−	0.319420i	$-0.103488\pi$
$277$	15.5890	+	11.3261i	0.936655	+	0.680519i	−0.0109584	+	0.999940i	$0.503488\pi$
$278$		−	18.4888i		−	1.10889i
$279$	6.44358	−	15.4104i	0.385767	−	0.922596i
$280$	−1.36784	−	1.65875i	−0.0817441	−	0.0991296i
$281$	−4.53559	+	6.24270i	−0.270570	+	0.372408i	−0.922582	−	0.385801i	$-0.873925\pi$
$281$	−4.53559	+	6.24270i	−0.270570	+	0.372408i	0.652012	+	0.758209i	$0.273925\pi$
$282$	−2.46578	+	1.35124i	−0.146835	+	0.0804653i
$283$	−4.69848	+	1.52663i	−0.279296	+	0.0907486i	−0.445315	−	0.895374i	$-0.646908\pi$
$283$	−4.69848	+	1.52663i	−0.279296	+	0.0907486i	0.166020	+	0.986122i	$0.446908\pi$
$284$			3.70449i			0.219821i
$285$	13.7669	−	8.68031i	0.815480	−	0.514177i
$286$	−7.00159	−	21.5487i	−0.414013	−	1.27420i
$287$	−1.77531	+	5.46385i	−0.104793	+	0.322521i
$288$	1.61431	−	2.52863i	0.0951244	−	0.149001i
$289$	1.37612	+	0.999813i	0.0809485	+	0.0588125i
$290$	−1.23795	−	0.788370i	−0.0726951	−	0.0462947i
$291$	−16.4628	+	17.4838i	−0.965068	+	1.02492i
$292$	−2.83733	+	2.06144i	−0.166042	+	0.120637i
$293$	6.58119	−	20.2548i	0.384477	−	1.18330i	−0.552382	−	0.833591i	$-0.686281\pi$
$293$	6.58119	−	20.2548i	0.384477	−	1.18330i	0.936859	−	0.349708i	$-0.113719\pi$
$294$	−9.22829	+	5.05708i	−0.538205	+	0.294935i
$295$	−19.6911	−	5.08894i	−1.14646	−	0.296289i
$296$	−3.58046	+	11.0195i	−0.208110	+	0.640496i
$297$	21.5084	−	5.42965i	1.24804	−	0.315060i
$298$	1.80101	−	2.47888i	0.104330	−	0.143597i
$299$	−43.3688	+	14.0914i	−2.50808	+	0.814925i
$300$	−7.02915	+	5.05876i	−0.405828	+	0.292068i
$301$	−4.51255	−	1.46622i	−0.260099	−	0.0845112i
$302$	9.54214	+	3.10043i	0.549089	+	0.178410i
$303$	−11.1957	+	2.12003i	−0.643176	+	0.121793i
$304$	4.20218			0.241012
$305$	−3.90804	−	4.73921i	−0.223774	−	0.271366i
$306$	12.9499	−	0.779639i	0.740299	−	0.0445690i
$307$	−12.6266	−	17.3790i	−0.720639	−	0.991874i	−0.999502	−	0.0315437i	$-0.989958\pi$
$307$	−12.6266	−	17.3790i	−0.720639	−	0.991874i	0.278863	−	0.960331i	$-0.410042\pi$
$308$	2.41274	−	3.32086i	0.137479	−	0.189223i
$309$	2.01393	−	15.7706i	0.114568	−	0.897158i
$310$	−12.1123	+	2.87953i	−0.687934	+	0.163546i
$311$		−	9.94506i		−	0.563933i	−0.959424	−	0.281966i	$-0.909013\pi$
$311$		−	9.94506i		−	0.563933i	0.959424	−	0.281966i	$-0.0909867\pi$
$312$	−6.69254	−	6.30174i	−0.378891	−	0.356766i
$313$	14.0891	−	10.2363i	0.796364	−	0.578593i	−0.113481	−	0.993540i	$-0.536200\pi$
$313$	14.0891	−	10.2363i	0.796364	−	0.578593i	0.909845	+	0.414948i	$0.136200\pi$
$314$	−19.9033	+	6.46698i	−1.12321	+	0.364953i
$315$	−2.72128	−	5.84780i	−0.153326	−	0.329486i
$316$		−	6.58357i		−	0.370355i
$317$	9.13474	+	28.1138i	0.513058	+	1.57903i	0.786788	+	0.617223i	$0.211743\pi$
$317$	9.13474	+	28.1138i	0.513058	+	1.57903i	−0.273730	+	0.961807i	$0.588257\pi$
$318$	−15.8913	−	7.50412i	−0.891142	−	0.420810i
$319$	0.865898	−	2.66496i	0.0484810	−	0.149209i
$320$	−2.23187	+	0.136884i	−0.124766	+	0.00765207i
$321$	6.09960	+	32.2115i	0.340446	+	1.79787i
$322$	−6.68354	−	4.85588i	−0.372459	−	0.270608i
$323$	10.6813	+	14.7016i	0.594326	+	0.818019i
$324$	6.59390	−	6.12540i	0.366328	−	0.340300i
$325$	11.2229	+	24.0464i	0.622534	+	1.33386i
$326$	−3.17447	−	4.36929i	−0.175818	−	0.241993i
$327$	10.8370	−	22.9492i	0.599285	−	1.26910i
$328$	3.51204	+	4.83391i	0.193920	+	0.266908i
$329$	−0.917458	+	1.26277i	−0.0505811	+	0.0696189i
$330$	−12.7090	−	10.5766i	−0.699609	−	0.582224i
$331$	1.79069	−	2.46467i	0.0984250	−	0.135470i	−0.756964	−	0.653457i	$-0.773318\pi$
$331$	1.79069	−	2.46467i	0.0984250	−	0.135470i	0.855389	+	0.517986i	$0.173318\pi$
$332$	8.08764	+	2.62783i	0.443867	+	0.144221i
$333$	−18.7044	+	29.2983i	−1.02500	+	1.60554i
$334$	8.16833	−	2.65405i	0.446951	−	0.145223i
$335$	−9.51852	−	11.5429i	−0.520052	−	0.630657i
$336$	0.210958	−	1.65196i	0.0115087	−	0.0901218i
$337$	4.24788	+	13.0736i	0.231397	+	0.712167i	0.997579	+	0.0695430i	$0.0221541\pi$
$337$	4.24788	+	13.0736i	0.231397	+	0.712167i	−0.766182	+	0.642624i	$0.777846\pi$
$338$	−12.2707	+	8.91515i	−0.667435	+	0.484920i
$339$	19.4291	+	18.2945i	1.05524	+	0.993622i
$340$	−6.15200	−	7.46042i	−0.333639	−	0.404598i
$341$	−11.1091	−	21.0139i	−0.601590	−	1.13797i
$342$	12.2020	+	3.16808i	0.659807	+	0.171310i
$343$	−7.38973	+	10.1711i	−0.399008	+	0.549187i
$344$	−3.99229	+	2.90057i	−0.215250	+	0.156388i
$345$	−21.2865	+	25.5781i	−1.14603	+	1.37708i
$346$	19.9413			1.07205
$347$			19.3954i			1.04120i	0.853801	+	0.520600i	$0.174292\pi$
$347$			19.3954i			1.04120i	−0.853801	+	0.520600i	$0.825708\pi$
$348$	−0.211517	−	1.11700i	−0.0113385	−	0.0598776i
$349$	−10.6468	+	32.7675i	−0.569911	+	1.75401i	0.0829779	+	0.996551i	$0.473557\pi$
$349$	−10.6468	+	32.7675i	−0.569911	+	1.75401i	−0.652889	+	0.757454i	$0.726443\pi$
$350$	−2.32932	+	4.20554i	−0.124507	+	0.224796i
$351$	−14.6823	−	23.3441i	−0.783685	−	1.24602i
$352$	−1.31924	−	4.06020i	−0.0703157	−	0.216409i
$353$	1.22064	−	1.68006i	0.0649680	−	0.0894207i	−0.775297	−	0.631597i	$-0.782400\pi$
$353$	1.22064	−	1.68006i	0.0649680	−	0.0894207i	0.840265	+	0.542177i	$0.182400\pi$
$354$	−7.57081	−	13.8154i	−0.402384	−	0.734281i
$355$	7.70659	−	3.03721i	0.409023	−	0.161198i
$356$	6.88517	−	5.00237i	0.364913	−	0.265125i
$357$	6.31571	−	3.46099i	0.334263	−	0.183175i
$358$	1.18900	−	3.65938i	0.0628408	−	0.193404i
$359$	2.68754	+	3.69908i	0.141843	+	0.195230i	0.874028	−	0.485876i	$-0.161499\pi$
$359$	2.68754	+	3.69908i	0.141843	+	0.195230i	−0.732185	+	0.681106i	$0.761499\pi$
$360$	−6.58395	−	1.28517i	−0.347004	−	0.0677342i
$361$	−0.414599	−	1.27600i	−0.0218210	−	0.0671581i
$362$	4.17519	−	5.74666i	0.219443	−	0.302038i
$363$	5.34398	−	11.3168i	0.280486	−	0.593980i
$364$	−4.85323	−	1.57691i	−0.254378	−	0.0826525i
$365$	6.61475	+	4.21249i	0.346232	+	0.220492i
$366$	0.602724	−	4.71979i	0.0315049	−	0.246708i
$367$	15.0062			0.783317			0.391658	−	0.920111i	$-0.371902\pi$
$367$	15.0062			0.783317			0.391658	+	0.920111i	$0.371902\pi$
$368$	−8.17154	+	2.65510i	−0.425971	+	0.138406i
$369$	6.55365	+	16.6841i	0.341169	+	0.868541i
$370$	25.8598	−	1.58603i	1.34439	−	0.0824535i
$371$	−9.75578			−0.506495
$372$	−8.04968	−	5.31061i	−0.417357	−	0.275343i
$373$		−	14.4077i		−	0.746000i	−0.927831	−	0.373000i	$-0.878329\pi$
$373$		−	14.4077i		−	0.746000i	0.927831	−	0.373000i	$-0.121671\pi$
$374$	10.8516	−	14.9359i	0.561121	−	0.772316i
$375$	16.2869	+	10.4755i	0.841054	+	0.540951i
$376$	0.501647	+	1.54391i	0.0258705	+	0.0796212i
$377$	−3.48350			−0.179410
$378$	1.85800	−	4.63779i	0.0955651	−	0.238542i
$379$	−3.17108	−	9.75959i	−0.162888	−	0.501316i	0.835987	−	0.548749i	$-0.184896\pi$
$379$	−3.17108	−	9.75959i	−0.162888	−	0.501316i	−0.998874	+	0.0474332i	$0.984896\pi$
$380$	−3.44525	−	8.74196i	−0.176738	−	0.448453i
$381$	11.8806	−	25.1594i	0.608663	−	1.28895i
$382$	−0.634801	+	0.873728i	−0.0324792	+	0.0447038i
$383$	8.83194	−	2.86967i	0.451291	−	0.146633i	−0.0745480	−	0.997217i	$-0.523751\pi$
$383$	8.83194	−	2.86967i	0.451291	−	0.146633i	0.525839	+	0.850584i	$0.323751\pi$
$384$	−1.26101	−	1.18737i	−0.0643506	−	0.0605929i
$385$	−8.88665	−	2.29665i	−0.452906	−	0.117048i
$386$	−7.34154	−	2.38541i	−0.373674	−	0.121414i
$387$	−13.7793	+	5.41260i	−0.700440	+	0.275138i
$388$	8.14959	+	11.2169i	0.413733	+	0.569454i
$389$	−1.26103	+	3.88104i	−0.0639365	+	0.196776i	−0.977922	−	0.208971i	$-0.932989\pi$
$389$	−1.26103	+	3.88104i	−0.0639365	+	0.196776i	0.913985	+	0.405747i	$0.132989\pi$
$390$	−7.62273	+	19.0894i	−0.385992	+	0.966628i
$391$	−30.0599	−	21.8398i	−1.52019	−	1.10449i
$392$	1.87744	+	5.77815i	0.0948248	+	0.291841i
$393$	−18.1503	+	19.2759i	−0.915563	+	0.972342i
$394$	13.6357	+	4.43051i	0.686957	+	0.223206i
$395$	−13.6961	+	5.39769i	−0.689124	+	0.271587i
$396$	−0.769666	−	12.7843i	−0.0386772	−	0.642435i
$397$			32.1109i			1.61160i	0.592188	+	0.805800i	$0.298264\pi$
$397$			32.1109i			1.61160i	−0.592188	+	0.805800i	$0.701736\pi$
$398$		−	9.81257i		−	0.491860i
$399$	6.87601	−	1.30205i	0.344231	−	0.0651841i
$400$	2.11462	+	4.53083i	0.105731	+	0.226541i
$401$	2.44803	+	1.77860i	0.122249	+	0.0888190i	0.647230	−	0.762295i	$-0.275927\pi$
$401$	2.44803	+	1.77860i	0.122249	+	0.0888190i	−0.524981	+	0.851114i	$0.675927\pi$
$402$	1.46801	−	11.4956i	0.0732176	−	0.573350i
$403$	−20.5776	+	21.2073i	−1.02504	+	1.05641i
$404$			6.57870i			0.327303i
$405$	−18.1491	−	8.69549i	−0.901834	−	0.432083i
$406$	−0.370948	−	0.510566i	−0.0184098	−	0.0253390i
$407$	15.2855	+	47.0439i	0.757674	+	2.33188i
$408$	0.948802	−	7.42985i	0.0469727	−	0.367833i
$409$			5.95196i			0.294306i	0.989114	+	0.147153i	$0.0470109\pi$
$409$			5.95196i			0.294306i	−0.989114	+	0.147153i	$0.952989\pi$
$410$	7.17675	−	11.2694i	0.354434	−	0.556557i
$411$	23.5552	+	11.1231i	1.16189	+	0.548662i
$412$	−8.72984	−	2.83650i	−0.430088	−	0.139744i
$413$	−7.07513	−	5.14038i	−0.348144	−	0.252942i
$414$	−25.7296	+	1.54903i	−1.26454	+	0.0761305i
$415$	−1.16404	−	18.9795i	−0.0571407	−	0.931667i
$416$	−4.29369	+	3.11955i	−0.210515	+	0.152948i
$417$	−28.9574	−	13.6741i	−1.41805	−	0.669623i
$418$	14.5136	−	10.5447i	0.709881	−	0.515759i
$419$	−11.6950	−	16.0968i	−0.571339	−	0.786381i	0.421373	−	0.906887i	$-0.361548\pi$
$419$	−11.6950	−	16.0968i	−0.571339	−	0.786381i	−0.992713	+	0.120506i	$0.961548\pi$
$420$	−3.60959	+	0.915532i	−0.176130	+	0.0446734i
$421$	25.4987	−	18.5259i	1.24273	−	0.902895i	0.244951	−	0.969535i	$-0.421228\pi$
$421$	25.4987	−	18.5259i	1.24273	−	0.902895i	0.997777	+	0.0666403i	$0.0212280\pi$
$422$	4.32157	+	3.13980i	0.210371	+	0.152843i
$423$	0.292669	+	4.86129i	0.0142301	+	0.236364i
$424$	−5.96389	+	8.20859i	−0.289632	+	0.398644i
$425$	−10.4763	+	18.9148i	−0.508177	+	0.917504i
$426$	5.80200	+	2.73979i	0.281108	+	0.132743i
$427$	−0.816223	−	2.51208i	−0.0394998	−	0.121568i
$428$	18.9278			0.914909
$429$	−38.9280	−	4.97116i	−1.87946	−	0.240010i
$430$	9.30732	+	5.92721i	0.448839	+	0.285836i
$431$	18.7101	+	25.7523i	0.901235	+	1.24044i	0.970073	+	0.242815i	$0.0780709\pi$
$431$	18.7101	+	25.7523i	0.901235	+	1.24044i	−0.0688379	+	0.997628i	$0.521929\pi$
$432$	−2.76644	−	4.39850i	−0.133101	−	0.211623i
$433$	−14.9895			−0.720350			−0.360175	−	0.932885i	$-0.617283\pi$
$433$	−14.9895			−0.720350			−0.360175	+	0.932885i	$0.617283\pi$
$434$	−5.29954	−	0.757696i	−0.254386	−	0.0363706i
$435$	−2.15032	+	1.35582i	−0.103100	+	0.0650068i
$436$	−11.8543	−	8.61265i	−0.567718	−	0.412471i
$437$	−21.2222	−	29.2099i	−1.01520	−	1.39730i
$438$	1.13020	+	5.96847i	0.0540029	+	0.285185i
$439$	0.285040			0.0136042			0.00680210	−	0.999977i	$-0.497835\pi$
$439$	0.285040			0.0136042			0.00680210	+	0.999977i	$0.497835\pi$
$440$	−7.36499	+	6.07331i	−0.351112	+	0.289534i
$441$	1.09533	+	18.1936i	0.0521584	+	0.866361i
$442$	−21.8279	−	7.09231i	−1.03825	−	0.337347i
$443$	5.39096	−	16.5917i	0.256132	−	0.788294i	−0.737472	−	0.675378i	$-0.763981\pi$
$443$	5.39096	−	16.5917i	0.256132	−	0.788294i	0.993604	−	0.112917i	$-0.0360193\pi$
$444$	14.6108	+	13.7576i	0.693398	+	0.652908i
$445$	−16.0516	−	10.2222i	−0.760918	−	0.484578i
$446$	4.46579	+	3.24459i	0.211461	+	0.153636i
$447$	−2.55044	−	4.65410i	−0.120631	−	0.220131i
$448$	−0.914445	−	0.297121i	−0.0432035	−	0.0140377i
$449$	20.2707	−	14.7275i	0.956633	−	0.695034i	0.00426633	−	0.999991i	$-0.498642\pi$
$449$	20.2707	−	14.7275i	0.956633	−	0.695034i	0.952366	+	0.304957i	$0.0986420\pi$
$450$	2.72441	+	14.7505i	0.128430	+	0.695346i
$451$	24.2599	+	7.88251i	1.14235	+	0.371173i
$452$	12.4650	−	9.05633i	0.586303	−	0.425974i
$453$	11.9132	−	12.6520i	0.559729	−	0.594441i
$454$	−3.56038	−	10.9577i	−0.167097	−	0.514271i
$455$	0.698519	+	11.3892i	0.0327471	+	0.533935i
$456$	3.10788	−	6.58150i	0.145540	−	0.308207i
$457$	−8.93825	+	27.5091i	−0.418114	+	1.28682i	0.491323	+	0.870978i	$0.336514\pi$
$457$	−8.93825	+	27.5091i	−0.418114	+	1.28682i	−0.909436	+	0.415844i	$0.863486\pi$
$458$	−4.54300	+	1.47611i	−0.212281	+	0.0689741i
$459$	8.35653	−	20.8589i	0.390049	−	0.973611i
$460$	12.2231	+	14.8227i	0.569906	+	0.691114i
$461$	3.24833	+	9.99734i	0.151290	+	0.465622i	0.997766	−	0.0668041i	$-0.0212803\pi$
$461$	3.24833	+	9.99734i	0.151290	+	0.465622i	−0.846476	+	0.532427i	$0.821280\pi$
$462$	−3.41672	−	6.23493i	−0.158960	−	0.290075i
$463$	21.1610	+	15.3743i	0.983433	+	0.714506i	0.958473	−	0.285183i	$-0.0920542\pi$
$463$	21.1610	+	15.3743i	0.983433	+	0.714506i	0.0249598	+	0.999688i	$0.492054\pi$
$464$	−0.656362			−0.0304708
$465$	−4.44817	+	21.1001i	−0.206279	+	0.978493i
$466$	−6.01652			−0.278710
$467$	−9.34027	−	6.78611i	−0.432216	−	0.314024i	0.350318	−	0.936631i	$-0.386073\pi$
$467$	−9.34027	−	6.78611i	−0.432216	−	0.314024i	−0.782534	+	0.622607i	$0.786073\pi$
$468$	−14.8196	+	5.82124i	−0.685035	+	0.269087i
$469$	−1.98801	−	6.11847i	−0.0917978	−	0.282525i
$470$	2.80057	−	2.30941i	0.129181	−	0.106525i
$471$	−4.59159	+	35.9557i	−0.211569	+	1.65675i
$472$	−8.65031	+	2.81066i	−0.398163	+	0.129371i
$473$	−6.51010	+	20.0360i	−0.299335	+	0.921257i
$474$	−10.3113	−	4.86912i	−0.473612	−	0.223646i
$475$	−15.3616	+	14.3346i	−0.704838	+	0.657716i
$476$	−1.28489	−	3.95449i	−0.0588928	−	0.181254i
$477$	−23.5061	+	19.3392i	−1.07627	+	0.885482i
$478$	−17.6747	+	12.8414i	−0.808422	+	0.587353i
$479$	4.15701	+	1.35070i	0.189939	+	0.0617149i	0.402442	−	0.915446i	$-0.368162\pi$
$479$	4.15701	+	1.35070i	0.189939	+	0.0617149i	−0.212503	+	0.977160i	$0.568162\pi$
$480$	−1.43627	+	3.59682i	−0.0655567	+	0.164172i
$481$	49.7493	−	36.1450i	2.26837	−	1.64807i
$482$	−21.9440	−	7.13003i	−0.999520	−	0.324764i
$483$	−12.5484	+	6.87648i	−0.570971	+	0.312891i
$484$	−5.84566	−	4.24712i	−0.265712	−	0.193051i
$485$	16.6534	−	26.1504i	0.756193	−	1.18743i
$486$	−4.71690	−	14.8577i	−0.213963	−	0.673958i
$487$	1.83195	−	5.63815i	0.0830134	−	0.255489i	−0.900932	−	0.433961i	$-0.857115\pi$
$487$	1.83195	−	5.63815i	0.0830134	−	0.255489i	0.983945	+	0.178472i	$0.0571155\pi$
$488$	−2.61265	−	0.848902i	−0.118269	−	0.0384280i
$489$	−9.19102	+	1.74042i	−0.415632	+	0.0787046i
$490$	10.4813	−	8.64305i	0.473495	−	0.390453i
$491$	−9.37732			−0.423193			−0.211596	−	0.977357i	$-0.567866\pi$
$491$	−9.37732			−0.423193			−0.211596	+	0.977357i	$0.567866\pi$
$492$	10.1684	−	1.92550i	0.458426	−	0.0868081i
$493$	−1.66838	−	2.29632i	−0.0751399	−	0.103421i
$494$	−18.0429	−	13.1089i	−0.811787	−	0.589798i
$495$	−25.9646	+	12.0827i	−1.16702	+	0.543075i
$496$	−3.87724	+	3.99588i	−0.174093	+	0.179420i
$497$	3.56188			0.159772
$498$	10.0972	−	10.7234i	0.452468	−	0.480528i
$499$	−21.5271	−	29.6295i	−0.963686	−	1.32640i	−0.945172	−	0.326572i	$-0.894106\pi$
$499$	−21.5271	−	29.6295i	−0.963686	−	1.32640i	−0.0185139	−	0.999829i	$-0.505894\pi$
$500$	7.69194	−	8.11382i	0.343994	−	0.362861i
$501$	1.88439	−	14.7562i	0.0841882	−	0.659259i
$502$	−21.5850			−0.963386
$503$	−0.202641	−	0.623665i	−0.00903532	−	0.0278079i	0.946437	−	0.322888i	$-0.104654\pi$
$503$	−0.202641	−	0.623665i	−0.00903532	−	0.0278079i	−0.955473	+	0.295080i	$0.904654\pi$
$504$	−2.43129	−	1.55217i	−0.108298	−	0.0691392i
$505$	13.6859	−	5.39369i	0.609016	−	0.240016i
$506$	−21.5604	+	29.6754i	−0.958479	+	1.31923i
$507$	4.88778	+	25.8119i	0.217074	+	1.14635i
$508$	−12.9959	−	9.44210i	−0.576602	−	0.418926i
$509$	−1.31851	+	0.957955i	−0.0584420	+	0.0424606i	−0.616623	−	0.787259i	$-0.711500\pi$
$509$	−1.31851	+	0.957955i	−0.0584420	+	0.0424606i	0.558181	+	0.829719i	$0.311500\pi$
$510$	−16.2345	+	4.11770i	−0.718876	+	0.182335i
$511$	1.98209	+	2.72811i	0.0876824	+	0.120684i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	13.9863	−	16.7678i	0.617510	−	0.740315i
$514$	3.54226	−	2.57360i	0.156242	−	0.113517i
$515$	1.25648	+	20.4866i	0.0553669	+	0.902747i
$516$	1.59025	+	8.39797i	0.0700069	+	0.369700i
$517$	5.60680	+	4.07358i	0.246587	+	0.179156i
$518$	10.5953	+	3.44263i	0.465531	+	0.151260i
$519$	14.7483	−	31.2322i	0.647379	−	1.37094i
$520$	10.0100	+	6.37470i	0.438967	+	0.279549i
$521$			7.53834i			0.330261i	0.986272	+	0.165130i	$0.0528045\pi$
$521$			7.53834i			0.330261i	−0.986272	+	0.165130i	$0.947195\pi$
$522$	−1.90589	−	0.494840i	−0.0834187	−	0.0216586i
$523$	−6.02873	−	18.5545i	−0.263618	−	0.811333i	−0.992009	−	0.126171i	$-0.959731\pi$
$523$	−6.02873	−	18.5545i	−0.263618	−	0.811333i	0.728390	−	0.685162i	$-0.240269\pi$
$524$	8.98495	+	12.3667i	0.392509	+	0.540243i
$525$	4.86402	+	6.75856i	0.212283	+	0.294968i
$526$			10.7739i			0.469765i
$527$	−23.8352	−	3.40781i	−1.03828	−	0.148447i
$528$	−7.33482	−	0.936666i	−0.319207	−	0.0407632i
$529$	41.1172	+	29.8734i	1.78770	+	1.29884i
$530$	21.9663	+	5.67692i	0.954154	+	0.246590i
$531$	−27.2371	+	1.63978i	−1.18199	+	0.0711605i
$532$		−	4.04042i		−	0.175174i
$533$		−	31.7113i		−	1.37357i
$534$	−2.74258	−	14.4833i	−0.118683	−	0.626754i
$535$	−15.5184	−	39.3762i	−0.670917	−	1.70238i
$536$	−6.36343	−	2.06760i	−0.274858	−	0.0893069i
$537$	−4.85198	−	4.56865i	−0.209378	−	0.197152i
$538$	−2.17565	−	6.69597i	−0.0937990	−	0.288684i
$539$	20.9837	+	15.2455i	0.903831	+	0.656672i
$540$	−6.88224	+	9.36135i	−0.296164	+	0.402848i
$541$	13.9204	−	42.8425i	0.598483	−	1.84194i	0.0619222	−	0.998081i	$-0.480277\pi$
$541$	13.9204	−	42.8425i	0.598483	−	1.84194i	0.536561	−	0.843861i	$-0.319723\pi$
$542$	−4.00429	−	5.51144i	−0.171999	−	0.236736i
$543$	−5.91256	−	10.7894i	−0.253732	−	0.463017i
$544$	−4.11281	−	1.33633i	−0.176335	−	0.0572948i
$545$	−8.19823	+	31.7222i	−0.351174	+	1.35883i
$546$	−6.05915	+	6.43491i	−0.259308	+	0.275389i
$547$	17.7158	−	5.75623i	0.757475	−	0.246118i	0.0952803	−	0.995450i	$-0.469625\pi$
$547$	17.7158	−	5.75623i	0.757475	−	0.246118i	0.662194	+	0.749332i	$0.269625\pi$
$548$	8.84006	−	12.1673i	0.377629	−	0.519761i
$549$	−6.94642	−	4.43469i	−0.296466	−	0.189268i
$550$	18.6729	+	10.3423i	0.796215	+	0.440999i
$551$	−0.852315	−	2.62316i	−0.0363099	−	0.111750i
$552$	−1.88513	+	14.7620i	−0.0802365	+	0.628313i
$553$	−6.33014			−0.269185
$554$	−5.95448	−	18.3260i	−0.252982	−	0.778598i
$555$	16.6415	−	41.6749i	0.706394	−	1.76900i
$556$	−10.8675	+	14.9578i	−0.460883	+	0.634351i
$557$		−	14.5932i		−	0.618336i	−0.951008	−	0.309168i	$-0.899950\pi$
$557$		−	14.5932i		−	0.618336i	0.951008	−	0.309168i	$-0.100050\pi$
$558$	−14.2710	+	8.67983i	−0.604138	+	0.367446i
$559$	26.1901			1.10772
$560$	0.131615	+	2.14596i	0.00556175	+	0.0906833i
$561$	−15.3671	−	28.0422i	−0.648798	−	1.18394i
$562$	7.33873	−	2.38450i	0.309566	−	0.100584i
$563$	13.9891			0.589571			0.294786	−	0.955563i	$-0.404752\pi$
$563$	13.9891			0.589571			0.294786	+	0.955563i	$0.404752\pi$
$564$	2.78910	+	0.356172i	0.117442	+	0.0149975i
$565$	−29.0599	−	18.5063i	−1.22256	−	0.778567i
$566$	4.69848	+	1.52663i	0.197492	+	0.0641690i
$567$	−5.88960	−	6.34006i	−0.247340	−	0.266258i
$568$	2.17744	−	2.99699i	0.0913635	−	0.125751i
$569$	−1.31443	−	4.04540i	−0.0551038	−	0.169592i	0.919717	−	0.392582i	$-0.128418\pi$
$569$	−1.31443	−	4.04540i	−0.0551038	−	0.169592i	−0.974821	+	0.222990i	$0.928418\pi$
$570$	−16.2398	−	1.06946i	−0.680211	−	0.0447946i
$571$	4.80859	+	6.61846i	0.201233	+	0.276974i	0.897692	−	0.440622i	$-0.145242\pi$
$571$	4.80859	+	6.61846i	0.201233	+	0.276974i	−0.696459	+	0.717596i	$0.745242\pi$
$572$	−7.00159	+	21.5487i	−0.292751	+	0.900995i
$573$	0.898951	+	1.64043i	0.0375542	+	0.0685299i
$574$	4.64783	−	3.37685i	0.193997	−	0.140947i
$575$	20.8149	−	37.5810i	0.868043	−	1.56724i
$576$	−2.79230	+	1.09684i	−0.116346	+	0.0457016i
$577$	−8.20262	+	11.2899i	−0.341480	+	0.470007i	−0.944873	−	0.327437i	$-0.893815\pi$
$577$	−8.20262	+	11.2899i	−0.341480	+	0.470007i	0.603393	+	0.797444i	$0.293815\pi$
$578$	−0.525633	−	1.61773i	−0.0218634	−	0.0672887i
$579$	−9.16576	+	9.73417i	−0.380916	+	0.404538i
$580$	0.538132	+	1.36545i	0.0223447	+	0.0566974i
$581$	2.52667	−	7.77630i	0.104824	−	0.322615i
$582$	23.5954	−	4.46806i	0.978061	−	0.185207i
$583$			43.3164i			1.79398i
$584$	3.50714			0.145126
$585$	24.2603	+	26.0570i	1.00304	+	1.07733i
$586$	−17.2298	+	12.5182i	−0.711756	+	0.517121i
$587$	−1.47716	+	2.03314i	−0.0609690	+	0.0839166i	−0.838413	−	0.545036i	$-0.816516\pi$
$587$	−1.47716	+	2.03314i	−0.0609690	+	0.0839166i	0.777444	+	0.628952i	$0.216516\pi$
$588$	10.4383	+	1.33299i	0.430469	+	0.0549715i
$589$	−21.0043	−	10.3066i	−0.865469	−	0.424676i
$590$	12.9393	+	15.6912i	0.532701	+	0.645996i
$591$	17.0239	−	18.0796i	0.700269	−	0.743696i
$592$	9.37376	−	6.81043i	0.385259	−	0.279907i
$593$	−6.10403	−	18.7863i	−0.250662	−	0.771459i	−0.994653	−	0.103270i	$-0.967070\pi$
$593$	−6.10403	−	18.7863i	−0.250662	−	0.771459i	0.743991	−	0.668190i	$-0.232930\pi$
$594$	−20.5921	−	8.24964i	−0.844905	−	0.338487i
$595$	−7.17322	+	5.91518i	−0.294074	+	0.242499i
$596$	−2.91409	+	0.946846i	−0.119366	+	0.0387843i
$597$	−15.3685	−	7.25725i	−0.628992	−	0.297019i
$598$	43.3688	+	14.0914i	1.77348	+	0.576239i
$599$	0.479554	−	0.660049i	0.0195940	−	0.0269689i	−0.799108	−	0.601188i	$-0.794694\pi$
$599$	0.479554	−	0.660049i	0.0195940	−	0.0269689i	0.818702	+	0.574219i	$0.194694\pi$
$600$	8.66017	+	0.0390071i	0.353550	+	0.00159246i
$601$	−24.7647	+	34.0857i	−1.01017	+	1.39038i	−0.0913037	+	0.995823i	$0.529103\pi$
$601$	−24.7647	+	34.0857i	−1.01017	+	1.39038i	−0.918870	+	0.394561i	$0.870897\pi$
$602$	2.78891	+	3.83860i	0.113667	+	0.156450i
$603$	−16.9189	−	10.8012i	−0.688989	−	0.439860i
$604$	−5.89737	−	8.11703i	−0.239960	−	0.330277i
$605$	−4.04275	+	15.6430i	−0.164361	+	0.635980i
$606$	10.3036	+	4.86552i	0.418556	+	0.197648i
$607$	−6.71803	−	9.24658i	−0.272677	−	0.375307i	0.650615	−	0.759408i	$-0.274511\pi$
$607$	−6.71803	−	9.24658i	−0.272677	−	0.375307i	−0.923291	+	0.384101i	$0.874511\pi$
$608$	−3.39964	−	2.46998i	−0.137873	−	0.100171i
$609$	−1.07400	+	0.203374i	−0.0435208	+	0.00824114i
$610$	0.376036	+	6.13119i	0.0152252	+	0.248245i
$611$	2.66239	−	8.19399i	0.107709	−	0.331493i
$612$	−10.9350	−	6.98104i	−0.442021	−	0.282192i
$613$	1.78901	+	5.50600i	0.0722574	+	0.222385i	0.980663	−	0.195705i	$-0.0626995\pi$
$613$	1.78901	+	5.50600i	0.0722574	+	0.222385i	−0.908405	+	0.418090i	$0.862700\pi$
$614$			21.4817i			0.866930i
$615$	−12.3425	−	19.5750i	−0.497696	−	0.789341i
$616$	−3.90390	+	1.26845i	−0.157293	+	0.0511075i
$617$	28.1428	−	20.4469i	1.13299	−	0.823162i	0.146859	−	0.989157i	$-0.453084\pi$
$617$	28.1428	−	20.4469i	1.13299	−	0.823162i	0.986126	+	0.165996i	$0.0530838\pi$
$618$	−10.8990	+	11.5749i	−0.438423	+	0.465612i
$619$		−	28.4459i		−	1.14334i	−0.820485	−	0.571668i	$-0.806297\pi$
$619$		−	28.4459i		−	1.14334i	0.820485	−	0.571668i	$-0.193703\pi$
$620$	11.4916	+	4.78986i	0.461514	+	0.192365i
$621$	−16.6032	+	41.4436i	−0.666263	+	1.66307i
$622$	−5.84556	+	8.04572i	−0.234386	+	0.322604i
$623$	−4.80980	−	6.62013i	−0.192701	−	0.265230i
$624$	1.71031	+	9.03199i	0.0684672	+	0.361569i
$625$	−23.1859	−	9.34955i	−0.927436	−	0.373982i
$626$	−17.4151			−0.696048
$627$	−5.78120	−	30.5300i	−0.230879	−	1.21925i
$628$	19.9033	+	6.46698i	0.794229	+	0.258061i
$629$	47.6535	+	15.4836i	1.90007	+	0.617370i
$630$	−1.23569	+	6.33050i	−0.0492312	+	0.252213i
$631$	−44.3316	+	14.4042i	−1.76481	+	0.573423i	−0.997681	−	0.0680663i	$-0.978317\pi$
$631$	−44.3316	+	14.4042i	−1.76481	+	0.573423i	−0.767132	+	0.641489i	$0.778317\pi$
$632$	−3.86973	+	5.32622i	−0.153930	+	0.211866i
$633$	8.11376	−	4.44632i	0.322493	−	0.176725i
$634$	9.13474	−	28.1138i	0.362787	−	1.11654i
$635$	−8.98777	+	34.7773i	−0.356669	+	1.38009i
$636$	8.44555	+	15.4117i	0.334888	+	0.611112i
$637$	9.96410	−	30.6663i	0.394792	−	1.21504i
$638$	−2.26695	+	1.64704i	−0.0897494	+	0.0652068i
$639$	8.58217	−	7.06084i	0.339505	−	0.279322i
$640$	1.88608	+	1.20112i	0.0745540	+	0.0474785i
$641$	−20.1426	−	14.6345i	−0.795586	−	0.578027i	0.114030	−	0.993477i	$-0.463624\pi$
$641$	−20.1426	−	14.6345i	−0.795586	−	0.578027i	−0.909616	+	0.415450i	$0.863624\pi$
$642$	13.9987	−	29.6449i	0.552486	−	1.16999i
$643$	7.74948	−	23.8505i	0.305610	−	0.940570i	−0.673839	−	0.738878i	$-0.735356\pi$
$643$	7.74948	−	23.8505i	0.305610	−	0.940570i	0.979449	−	0.201692i	$-0.0646440\pi$
$644$	2.55289	+	7.85698i	0.100598	+	0.309608i
$645$	16.1668	−	10.1935i	0.636568	−	0.401370i
$646$		−	18.1722i		−	0.714975i
$647$	4.82110	−	1.56647i	0.189537	−	0.0615842i	−0.212711	−	0.977115i	$-0.568229\pi$
$647$	4.82110	−	1.56647i	0.189537	−	0.0615842i	0.402247	+	0.915531i	$0.368229\pi$
$648$	−8.93499	+	1.07976i	−0.351000	+	0.0424169i
$649$	−22.8237	+	31.4141i	−0.895907	+	1.23311i
$650$	5.05463	−	26.0506i	0.198259	−	1.02179i
$651$	−5.10618	+	7.73981i	−0.200127	+	0.303347i
$652$			5.40074i			0.211509i
$653$	14.0873	+	10.2350i	0.551277	+	0.400526i	0.828256	−	0.560350i	$-0.189333\pi$
$653$	14.0873	+	10.2350i	0.551277	+	0.400526i	−0.276979	+	0.960876i	$0.589333\pi$
$654$	−22.2565	+	12.1965i	−0.870298	+	0.476921i
$655$	18.3605	−	28.8309i	0.717403	−	1.12652i
$656$		−	5.97504i		−	0.233286i
$657$	10.1838	+	2.64408i	0.397306	+	0.103155i
$658$	1.48448	−	0.482336i	0.0578710	−	0.0188034i
$659$	−19.4698	−	6.32611i	−0.758435	−	0.246430i	−0.0958279	−	0.995398i	$-0.530550\pi$
$659$	−19.4698	−	6.32611i	−0.758435	−	0.246430i	−0.662607	+	0.748968i	$0.730550\pi$
$660$	4.06503	+	16.0269i	0.158231	+	0.623844i
$661$	−0.389522	−	0.283005i	−0.0151507	−	0.0110076i	0.580184	−	0.814485i	$-0.302981\pi$
$661$	−0.389522	−	0.283005i	−0.0151507	−	0.0110076i	−0.595335	+	0.803478i	$0.702981\pi$
$662$	−2.89739	+	0.941419i	−0.112610	+	0.0365893i
$663$	−27.2517	+	28.9417i	−1.05837	+	1.12400i
$664$	−4.99843	−	6.87975i	−0.193977	−	0.266986i
$665$	−8.40544	+	3.31262i	−0.325949	+	0.128458i
$666$	32.3533	−	12.7086i	1.25366	−	0.492449i
$667$	3.31482	+	4.56245i	0.128350	+	0.176659i
$668$	−8.16833	−	2.65405i	−0.316042	−	0.102688i
$669$	8.38454	−	4.59471i	0.324165	−	0.177642i
$670$	0.915881	+	14.9333i	0.0353836	+	0.576922i
$671$	−11.1538	+	3.62409i	−0.430587	+	0.139906i
$672$	−1.14167	+	1.21247i	−0.0440407	+	0.0467719i
$673$	12.3435	−	37.9894i	0.475807	−	1.46438i	−0.369059	−	0.929406i	$-0.620320\pi$
$673$	12.3435	−	37.9894i	0.475807	−	1.46438i	0.844866	−	0.534978i	$-0.179680\pi$
$674$	4.24788	−	13.0736i	0.163622	−	0.503578i
$675$	25.1173	+	6.64228i	0.966766	+	0.255662i
$676$	15.1674			0.583360
$677$			0.922234i			0.0354443i	0.999843	+	0.0177222i	$0.00564143\pi$
$677$			0.922234i			0.0354443i	−0.999843	+	0.0177222i	$0.994359\pi$
$678$	−4.96518	−	26.2207i	−0.190687	−	1.00700i
$679$	10.7851	−	7.83587i	0.413896	−	0.300713i
$680$	0.591952	+	9.65166i	0.0227003	+	0.370124i
$681$	−19.7953	−	2.52789i	−0.758557	−	0.0968688i
$682$	−3.36422	+	23.5303i	−0.128823	+	0.901023i
$683$	−30.1894			−1.15517			−0.577583	−	0.816332i	$-0.696004\pi$
$683$	−30.1894			−1.15517			−0.577583	+	0.816332i	$0.696004\pi$
$684$	−8.00945	−	9.73517i	−0.306249	−	0.372234i
$685$	−32.5598	−	8.41469i	−1.24405	−	0.321509i
$686$	11.9568	−	3.88501i	0.456514	−	0.148330i
$687$	−1.04805	+	8.20701i	−0.0399854	+	0.313117i
$688$	4.93474			0.188135
$689$	51.2142	−	16.6405i	1.95110	−	0.633952i
$690$	32.2556	−	8.18126i	1.22795	−	0.311455i
$691$	−4.81974	+	14.8336i	−0.183351	+	0.564298i	−0.999916	−	0.0129564i	$-0.995876\pi$
$691$	−4.81974	+	14.8336i	−0.183351	+	0.564298i	0.816565	+	0.577254i	$0.195876\pi$
$692$	−16.1328	−	11.7212i	−0.613278	−	0.445573i
$693$	−12.2922	+	0.740038i	−0.466941	+	0.0281117i
$694$	11.4003	−	15.6912i	0.432751	−	0.595630i
$695$	40.0271	+	10.3445i	1.51832	+	0.392391i
$696$	−0.485436	+	1.02800i	−0.0184004	+	0.0389662i
$697$	20.9041	−	15.1877i	0.791798	−	0.575275i
$698$	27.8737	−	20.2514i	1.05504	−	0.766528i
$699$	−4.44974	+	9.42313i	−0.168305	+	0.356416i
$700$	4.35641	−	2.03321i	0.164657	−	0.0768483i
$701$	−8.30223	+	11.4270i	−0.313571	+	0.431593i	−0.936491	−	0.350692i	$-0.885946\pi$
$701$	−8.30223	+	11.4270i	−0.313571	+	0.431593i	0.622920	+	0.782286i	$0.285946\pi$
$702$	−1.84308	+	27.5158i	−0.0695624	+	1.03852i
$703$	39.3902	+	28.6187i	1.48563	+	1.07937i
$704$	−1.31924	+	4.06020i	−0.0497207	+	0.153025i
$705$	−1.54575	−	6.09429i	−0.0582162	−	0.229524i
$706$	−1.97503	+	0.641727i	−0.0743313	+	0.0241517i
$707$	6.32545			0.237893
$708$	−1.99558	+	15.6269i	−0.0749984	+	0.587295i
$709$	5.25985	−	1.70903i	0.197538	−	0.0641839i	−0.208577	−	0.978006i	$-0.566883\pi$
$709$	5.25985	−	1.70903i	0.197538	−	0.0641839i	0.406115	+	0.913822i	$0.366883\pi$
$710$	−8.01999	−	2.07267i	−0.300985	−	0.0777859i
$711$	−15.2521	+	12.5484i	−0.572000	+	0.470603i
$712$	−8.51054			−0.318946
$713$	47.3570	+	6.77082i	1.77354	+	0.253569i
$714$	−7.14384	−	0.912278i	−0.267351	−	0.0341411i
$715$	50.5690	−	3.10148i	1.89117	−	0.115989i
$716$	−3.11285	+	2.26162i	−0.116333	+	0.0845207i
$717$	7.04038	+	37.1796i	0.262928	+	1.38850i
$718$		−	4.57232i		−	0.170637i
$719$	−24.3545			−0.908271			−0.454136	−	0.890933i	$-0.650052\pi$
$719$	−24.3545			−0.908271			−0.454136	+	0.890933i	$0.650052\pi$
$720$	4.57112	+	4.90967i	0.170356	+	0.182973i
$721$	−2.72731	+	8.39378i	−0.101570	+	0.312601i
$722$	−0.414599	+	1.27600i	−0.0154298	+	0.0474879i
$723$	−27.3966	+	29.0956i	−1.01889	+	1.08208i
$724$	−6.75561	+	2.19503i	−0.251070	+	0.0815776i
$725$	2.39941	−	2.23900i	0.0891118	−	0.0831542i
$726$	−10.9752	+	6.01441i	−0.407329	+	0.223216i
$727$	14.5149	+	4.71617i	0.538327	+	0.174913i	0.565547	−	0.824716i	$-0.308665\pi$
$727$	14.5149	+	4.71617i	0.538327	+	0.174913i	−0.0272193	+	0.999629i	$0.508665\pi$
$728$	2.99946	+	4.12840i	0.111167	+	0.153009i
$729$	−26.7588	−	3.60089i	−0.991067	−	0.133366i
$730$	−2.87540	−	7.29603i	−0.106423	−	0.270038i
$731$	12.5434	+	17.2645i	0.463934	+	0.638550i
$732$	−3.26184	+	3.46412i	−0.120561	+	0.128038i
$733$	18.1023	−	5.88179i	0.668624	−	0.217249i	0.0450158	−	0.998986i	$-0.485666\pi$
$733$	18.1023	−	5.88179i	0.668624	−	0.217249i	0.623608	+	0.781737i	$0.285666\pi$
$734$	−12.1403	−	8.82042i	−0.448105	−	0.325567i
$735$	−5.78502	−	22.8081i	−0.213384	−	0.841290i
$736$	8.17154	+	2.65510i	0.301207	+	0.0978681i
$737$	−27.1664	+	8.82691i	−1.00069	+	0.325143i
$738$	4.50467	−	17.3499i	0.165819	−	0.638658i
$739$			14.9941i			0.551565i	0.961220	+	0.275783i	$0.0889370\pi$
$739$			14.9941i			0.551565i	−0.961220	+	0.275783i	$0.911063\pi$
$740$	−21.8533	−	13.9169i	−0.803343	−	0.511596i
$741$	−33.8756	+	18.5637i	−1.24445	+	0.681956i
$742$	7.89260	+	5.73431i	0.289746	+	0.210513i
$743$			25.6531i			0.941122i	0.882367	+	0.470561i	$0.155948\pi$
$743$			25.6531i			0.941122i	−0.882367	+	0.470561i	$0.844052\pi$
$744$	3.39083	+	9.02786i	0.124314	+	0.330977i
$745$	4.35894	+	5.28601i	0.159699	+	0.193664i
$746$	−8.46861	+	11.6560i	−0.310058	+	0.426758i
$747$	−9.32733	−	23.7453i	−0.341269	−	0.868795i
$748$	−17.5582	+	5.70500i	−0.641991	+	0.208596i
$749$		−	18.1992i		−	0.664983i
$750$	−7.01908	−	18.0481i	−0.256301	−	0.659022i
$751$	−0.275193	−	0.846957i	−0.0100419	−	0.0309059i	0.945910	−	0.324429i	$-0.105172\pi$
$751$	−0.275193	−	0.846957i	−0.0100419	−	0.0309059i	−0.955952	+	0.293523i	$0.905172\pi$
$752$	0.501647	−	1.54391i	0.0182932	−	0.0563007i
$753$	−15.9640	+	33.8066i	−0.581760	+	1.23198i
$754$	2.81821	+	2.04755i	0.102633	+	0.0745674i
$755$	−12.0511	+	18.9234i	−0.438584	+	0.688695i
$756$	−4.22918	+	2.65995i	−0.153814	+	0.0967414i
$757$	−27.8590	+	20.2407i	−1.01255	+	0.735662i	−0.964743	−	0.263195i	$-0.915224\pi$
$757$	−27.8590	+	20.2407i	−1.01255	+	0.735662i	−0.0478088	+	0.998857i	$0.515224\pi$
$758$	−3.17108	+	9.75959i	−0.115179	+	0.354484i
$759$	30.5321	+	55.7157i	1.10824	+	2.02235i
$760$	−2.35113	+	9.09746i	−0.0852845	+	0.330000i
$761$	1.92686	−	5.93028i	0.0698488	−	0.214972i	−0.910039	−	0.414523i	$-0.863948\pi$
$761$	1.92686	−	5.93028i	0.0698488	−	0.214972i	0.979887	+	0.199551i	$0.0639483\pi$
$762$	−24.3999	+	13.3711i	−0.883916	+	0.484384i
$763$	−8.28111	+	11.3980i	−0.299796	+	0.412634i
$764$	1.02713	−	0.333734i	0.0371602	−	0.0120741i
$765$	−5.55765	+	28.4720i	−0.200937	+	1.02941i
$766$	−8.83194	−	2.86967i	−0.319111	−	0.103685i
$767$	45.9097	+	14.9170i	1.65770	+	0.538621i
$768$	0.322256	+	1.70181i	0.0116284	+	0.0614087i
$769$	21.5484			0.777055			0.388527	−	0.921437i	$-0.372984\pi$
$769$	21.5484			0.777055			0.388527	+	0.921437i	$0.372984\pi$
$770$	5.83952	+	7.08147i	0.210442	+	0.255198i
$771$	−1.41099	−	7.45132i	−0.0508156	−	0.268353i
$772$	4.53732	+	6.24509i	0.163302	+	0.224766i
$773$	23.6274	−	32.5203i	0.849818	−	1.16967i	−0.134085	−	0.990970i	$-0.542810\pi$
$773$	23.6274	−	32.5203i	0.849818	−	1.16967i	0.983903	−	0.178704i	$-0.0571905\pi$
$774$	14.3291	+	3.72036i	0.515049	+	0.133726i
$775$	0.542871	−	27.8335i	0.0195005	−	0.999810i
$776$		−	13.8649i		−	0.497721i
$777$	13.2280	−	14.0484i	0.474553	−	0.503982i
$778$	3.30141	−	2.39861i	0.118361	−	0.0859944i
$779$	23.8793	−	7.75887i	0.855566	−	0.277990i
$780$	17.3874	−	10.9631i	0.622568	−	0.392542i
$781$		−	15.8150i		−	0.565905i
$782$	11.4819	+	35.3375i	0.410591	+	1.26367i
$783$	−2.18460	+	2.61905i	−0.0780711	+	0.0935972i
$784$	1.87744	−	5.77815i	0.0670513	−	0.206363i
$785$	−2.86466	−	46.7078i	−0.102244	−	1.66707i
$786$	26.0140	−	4.92605i	0.927890	−	0.175706i
$787$	4.51852	+	3.28289i	0.161068	+	0.117023i	0.665400	−	0.746487i	$-0.268261\pi$
$787$	4.51852	+	3.28289i	0.161068	+	0.117023i	−0.504332	+	0.863510i	$0.668261\pi$
$788$	−8.42733	−	11.5992i	−0.300211	−	0.413205i
$789$	16.8742	+	7.96825i	0.600738	+	0.283677i
$790$	14.2530	+	3.68352i	0.507100	+	0.131054i
$791$	−8.70771	−	11.9851i	−0.309610	−	0.426142i
$792$	−6.89175	+	10.7951i	−0.244888	+	0.383588i
$793$	8.56972	+	11.7952i	0.304320	+	0.418860i
$794$	18.8743	−	25.9783i	0.669824	−	0.921934i
$795$	25.1372	−	30.2052i	0.891525	−	1.07127i
$796$	−5.76768	+	7.93854i	−0.204430	+	0.281374i
$797$	−43.5038	−	14.1352i	−1.54098	−	0.500696i	−0.589335	−	0.807889i	$-0.700610\pi$
$797$	−43.5038	−	14.1352i	−1.54098	−	0.500696i	−0.951647	+	0.307193i	$0.900610\pi$
$798$	−6.32814	−	2.98824i	−0.224014	−	0.105783i
$799$	6.67659	−	2.16936i	0.236201	−	0.0767463i
$800$	0.952392	−	4.90846i	0.0336722	−	0.173540i
$801$	−24.7123	−	6.41621i	−0.873165	−	0.226706i
$802$	−0.935065	−	2.87783i	−0.0330183	−	0.101620i
$803$	12.1130	−	8.80060i	0.427458	−	0.310567i
$804$	−7.94461	+	8.43729i	−0.280185	+	0.297560i
$805$	14.2521	−	11.7526i	0.502322	−	0.414224i
$806$	29.1130	−	5.06184i	1.02546	−	0.178296i
$807$	−12.0964	−	1.54472i	−0.425812	−	0.0543768i
$808$	3.86687	−	5.32228i	0.136036	−	0.187237i
$809$	−34.6959	+	25.2081i	−1.21984	+	0.886269i	−0.996087	−	0.0883759i	$-0.971832\pi$
$809$	−34.6959	+	25.2081i	−1.21984	+	0.886269i	−0.223757	+	0.974645i	$0.571832\pi$
$810$	9.57181	+	17.7026i	0.336319	+	0.622004i
$811$	35.0509			1.23080			0.615401	−	0.788214i	$-0.288994\pi$
$811$	35.0509			1.23080			0.615401	+	0.788214i	$0.288994\pi$
$812$			0.631095i			0.0221471i
$813$	−11.5936	+	2.19538i	−0.406605	+	0.0769952i
$814$	15.2855	−	47.0439i	0.535757	−	1.64889i
$815$	11.2354	−	4.42791i	0.393558	−	0.155103i
$816$	−5.13476	+	5.45319i	−0.179752	+	0.190900i
$817$	6.40798	+	19.7217i	0.224187	+	0.689976i
$818$	3.49848	−	4.81524i	0.122321	−	0.168361i
$819$	5.59715	+	14.2491i	0.195580	+	0.497903i
$820$	−12.4301	+	4.89877i	−0.434079	+	0.171073i
$821$	−12.9316	+	9.39534i	−0.451315	+	0.327900i	−0.790115	−	0.612959i	$-0.789979\pi$
$821$	−12.9316	+	9.39534i	−0.451315	+	0.327900i	0.338800	+	0.940859i	$0.389979\pi$
$822$	−12.5185	−	22.8442i	−0.436634	−	0.796781i
$823$	7.02093	−	21.6082i	0.244734	−	0.753214i	−0.750946	−	0.660364i	$-0.770402\pi$
$823$	7.02093	−	21.6082i	0.244734	−	0.753214i	0.995680	−	0.0928505i	$-0.0295979\pi$
$824$	5.39534	+	7.42605i	0.187956	+	0.258699i
$825$	30.0085	−	21.5966i	1.04476	−	0.751897i
$826$	2.70246	+	8.31731i	0.0940306	+	0.289396i
$827$	18.4208	−	25.3541i	0.640554	−	0.881647i	−0.358091	−	0.933687i	$-0.616572\pi$
$827$	18.4208	−	25.3541i	0.640554	−	0.881647i	0.998645	+	0.0520398i	$0.0165723\pi$
$828$	21.7262	+	13.8703i	0.755037	+	0.482026i
$829$	2.56408	+	0.833120i	0.0890542	+	0.0289355i	0.353205	−	0.935546i	$-0.385092\pi$
$829$	2.56408	+	0.833120i	0.0890542	+	0.0289355i	−0.264151	+	0.964481i	$0.585092\pi$
$830$	−10.2141	+	16.0390i	−0.354538	+	0.556720i
$831$	−33.1062	−	4.22771i	−1.14844	−	0.146658i
$832$	5.30729			0.183997
$833$	24.9874	−	8.11890i	0.865762	−	0.281303i
$834$	15.3896	+	28.0833i	0.532897	+	0.972444i
$835$	1.17566	+	19.1689i	0.0406853	+	0.663366i
$836$	−17.9397			−0.620459
$837$	3.03980	+	28.7708i	0.105071	+	0.994465i
$838$			19.8968i			0.687322i
$839$	7.36279	−	10.1340i	0.254192	−	0.349865i	−0.662782	−	0.748812i	$-0.730624\pi$
$839$	7.36279	−	10.1340i	0.254192	−	0.349865i	0.916974	+	0.398947i	$0.130624\pi$
$840$	3.45836	+	1.38099i	0.119325	+	0.0476485i
$841$	−8.82837	−	27.1709i	−0.304426	−	0.936928i
$842$	−31.5181			−1.08618
$843$	1.69300	−	13.2575i	0.0583102	−	0.456614i
$844$	−1.65069	−	5.08031i	−0.0568191	−	0.174871i
$845$	−12.4353	−	31.5532i	−0.427787	−	1.08546i
$846$	2.62062	−	4.10489i	0.0900988	−	0.141129i
$847$	−4.08362	+	5.62062i	−0.140315	+	0.193127i
$848$	9.64977	−	3.13540i	0.331375	−	0.107670i
$849$	5.86595	−	6.22973i	0.201319	−	0.213804i
$850$	19.5934	−	9.14458i	0.672048	−	0.313657i
$851$	−94.6804	−	30.7635i	−3.24560	−	1.05456i
$852$	−3.08351	−	5.62687i	−0.105639	−	0.192773i
$853$	−0.531537	−	0.731597i	−0.0181995	−	0.0250494i	0.799820	−	0.600240i	$-0.204928\pi$
$853$	−0.531537	−	0.731597i	−0.0181995	−	0.0250494i	−0.818020	+	0.575190i	$0.804928\pi$
$854$	−0.816223	+	2.51208i	−0.0279306	+	0.0859615i
$855$	−13.6857	+	24.6440i	−0.468042	+	0.842806i
$856$	−15.3129	−	11.1255i	−0.523384	−	0.380261i
$857$	0.342159	+	1.05306i	0.0116879	+	0.0359718i	0.956730	−	0.290976i	$-0.0939799\pi$
$857$	0.342159	+	1.05306i	0.0116879	+	0.0359718i	−0.945042	+	0.326948i	$0.893980\pi$
$858$	28.5715	+	26.9031i	0.975413	+	0.918456i
$859$	19.2126	+	6.24255i	0.655525	+	0.212993i	0.617849	−	0.786297i	$-0.288004\pi$
$859$	19.2126	+	6.24255i	0.655525	+	0.212993i	0.0376763	+	0.999290i	$0.488004\pi$
$860$	−4.04585	−	10.2659i	−0.137962	−	0.350065i
$861$	−1.85137	−	9.77694i	−0.0630947	−	0.333197i
$862$		−	31.8316i		−	1.08419i
$863$		−	46.0925i		−	1.56901i	−0.620123	−	0.784504i	$-0.712918\pi$
$863$		−	46.0925i		−	1.56901i	0.620123	−	0.784504i	$-0.287082\pi$
$864$	−0.347272	+	5.18453i	−0.0118144	+	0.176381i
$865$	−11.1572	+	43.1716i	−0.379356	+	1.46788i
$866$	12.1268	+	8.81062i	0.412084	+	0.299397i
$867$	−2.92246	−	0.373202i	−0.0992518	−	0.0126746i
$868$	3.84206	+	3.72798i	0.130408	+	0.126536i
$869$			28.1063i			0.953439i
$870$	2.53658	+	0.167044i	0.0859982	+	0.00566333i
$871$	20.8726	+	28.7287i	0.707242	+	0.973434i
$872$	4.52794	+	13.9356i	0.153335	+	0.471918i
$873$	10.4529	−	40.2599i	0.353779	−	1.36259i
$874$			36.1054i			1.22128i
$875$	−7.80147	−	7.39584i	−0.263738	−	0.250025i
$876$	2.59383	−	5.49291i	0.0876374	−	0.185588i
$877$	23.4256	+	7.61143i	0.791025	+	0.257020i	0.676541	−	0.736405i	$-0.263478\pi$
$877$	23.4256	+	7.61143i	0.791025	+	0.257020i	0.114485	+	0.993425i	$0.463478\pi$
$878$	−0.230602	−	0.167542i	−0.00778244	−	0.00565427i
$879$	6.86315	+	36.2437i	0.231488	+	1.22247i
$880$	9.52820	−	0.584380i	0.321196	−	0.0196994i
$881$	−8.66707	+	6.29700i	−0.292001	+	0.212151i	−0.724135	−	0.689658i	$-0.757761\pi$
$881$	−8.66707	+	6.29700i	−0.292001	+	0.212151i	0.432134	+	0.901809i	$0.357761\pi$
$882$	9.80778	−	15.3627i	0.330245	−	0.517290i
$883$	30.3409	−	22.0439i	1.02105	−	0.741837i	0.0545532	−	0.998511i	$-0.482627\pi$
$883$	30.3409	−	22.0439i	1.02105	−	0.741837i	0.966498	+	0.256674i	$0.0826265\pi$
$884$	13.4904	+	18.5679i	0.453730	+	0.624506i
$885$	34.1454	−	8.66059i	1.14779	−	0.291123i
$886$	−14.1137	+	10.2542i	−0.474160	+	0.344497i
$887$	−22.7701	−	16.5435i	−0.764547	−	0.555476i	0.135755	−	0.990742i	$-0.456654\pi$
$887$	−22.7701	−	16.5435i	−0.764547	−	0.555476i	−0.900302	+	0.435267i	$0.856654\pi$
$888$	−3.73386	−	19.7182i	−0.125300	−	0.661699i
$889$	−9.07863	+	12.4957i	−0.304487	+	0.419091i
$890$	6.97755	+	17.7048i	0.233888	+	0.593467i
$891$	−28.1503	+	26.1502i	−0.943071	+	0.876066i
$892$	−1.70578	−	5.24985i	−0.0571138	−	0.175778i
$893$	6.82167			0.228279
$894$	−0.672265	+	5.26435i	−0.0224839	+	0.176066i
$895$	7.25707	+	4.62155i	0.242577	+	0.154481i
$896$	0.565158	+	0.777874i	0.0188806	+	0.0259869i
$897$	54.1450	−	57.5028i	1.80785	−	1.91996i
$898$	−25.0559			−0.836128
$899$	3.28078	+	1.60984i	0.109420	+	0.0536912i
$900$	6.46604	−	13.5348i	0.215535	−	0.451159i
$901$	35.4977	+	25.7906i	1.18260	+	0.859210i
$902$	−14.9934	−	20.6367i	−0.499227	−	0.687127i
$903$	8.07469	−	1.52903i	0.268709	−	0.0508830i
$904$	−15.4076			−0.512448
$905$	10.1051	+	12.2543i	0.335906	+	0.407347i
$906$	−17.0746	+	3.23326i	−0.567265	+	0.107418i
$907$	−10.0397	−	3.26209i	−0.333362	−	0.108316i	0.137553	−	0.990494i	$-0.456076\pi$
$907$	−10.0397	−	3.26209i	−0.333362	−	0.108316i	−0.470915	+	0.882178i	$0.656076\pi$
$908$	−3.56038	+	10.9577i	−0.118155	+	0.363645i
$909$	15.2409	−	12.5392i	0.505507	−	0.415898i
$910$	6.12930	−	9.62466i	0.203184	−	0.319054i
$911$	12.8753	+	9.35445i	0.426577	+	0.309927i	0.780279	−	0.625432i	$-0.215077\pi$
$911$	12.8753	+	9.35445i	0.426577	+	0.309927i	−0.353701	+	0.935358i	$0.615077\pi$
$912$	−6.38283	+	3.49778i	−0.211357	+	0.115823i
$913$	−34.5273	−	11.2186i	−1.14269	−	0.371282i
$914$	23.4006	−	17.0016i	0.774024	−	0.562362i
$915$	9.88084	+	3.94560i	0.326650	+	0.130437i
$916$	4.54300	+	1.47611i	0.150105	+	0.0487721i
$917$	11.8907	−	8.63907i	0.392664	−	0.285287i
$918$	−19.0211	+	11.9634i	−0.627791	+	0.394851i
$919$	6.94746	+	21.3821i	0.229176	+	0.705330i	0.997841	+	0.0656786i	$0.0209212\pi$
$919$	6.94746	+	21.3821i	0.229176	+	0.705330i	−0.768665	+	0.639651i	$0.779079\pi$
$920$	−1.17612	−	19.1764i	−0.0387755	−	0.632228i
$921$	33.6448	+	15.8876i	1.10863	+	0.523513i
$922$	3.24833	−	9.99734i	0.106978	−	0.329245i
$923$	−18.6985	+	6.07552i	−0.615470	+	0.199978i
$924$	−0.900609	+	7.05246i	−0.0296279	+	0.232009i
$925$	−11.0350	+	56.8723i	−0.362828	+	1.86995i
$926$	−8.08277	−	24.8762i	−0.265616	−	0.817482i
$927$	10.0680	+	25.6308i	0.330676	+	0.841826i
$928$	0.531008	+	0.385800i	0.0174312	+	0.0126645i
$929$	12.2647			0.402390			0.201195	−	0.979551i	$-0.435517\pi$
$929$	12.2647			0.402390			0.201195	+	0.979551i	$0.435517\pi$
$930$	16.0010	−	14.4558i	0.524692	−	0.474023i
$931$	25.5304			0.836725
$932$	4.86747	+	3.53642i	0.159439	+	0.115839i
$933$	8.27799	+	15.1059i	0.271009	+	0.494544i
$934$	3.56767	+	10.9801i	0.116738	+	0.359281i
$935$	26.2638	+	31.8496i	0.858918	+	1.04159i
$936$	15.4109	+	4.00124i	0.503722	+	0.130785i
$937$	−27.4779	+	8.92810i	−0.897662	+	0.291668i	−0.721272	−	0.692652i	$-0.756442\pi$
$937$	−27.4779	+	8.92810i	−0.897662	+	0.291668i	−0.176391	+	0.984320i	$0.556442\pi$
$938$	−1.98801	+	6.11847i	−0.0649109	+	0.199775i
$939$	−12.8800	+	27.2757i	−0.420323	+	0.890109i
$940$	−3.62315	+	0.222213i	−0.118174	+	0.00724780i
$941$	2.40301	+	7.39569i	0.0783358	+	0.241093i	0.982554	−	0.185978i	$-0.0595454\pi$
$941$	2.40301	+	7.39569i	0.0783358	+	0.241093i	−0.904218	+	0.427071i	$0.859545\pi$
$942$	24.8489	−	26.3899i	0.809621	−	0.859829i
$943$	−41.5333	+	30.1757i	−1.35251	+	0.982657i
$944$	8.65031	+	2.81066i	0.281544	+	0.0914790i
$945$	9.00098	+	6.61730i	0.292802	+	0.215261i
$946$	17.0437	−	12.3829i	0.554137	−	0.402604i
$947$	7.90649	+	2.56897i	0.256926	+	0.0834804i	0.434648	−	0.900600i	$-0.356873\pi$
$947$	7.90649	+	2.56897i	0.256926	+	0.0834804i	−0.177722	+	0.984081i	$0.556873\pi$
$948$	5.47998	+	10.0000i	0.177982	+	0.324785i
$949$	−15.0586	−	10.9407i	−0.488821	−	0.355149i
$950$	20.8534	−	2.56761i	0.676575	−	0.0833042i
$951$	−37.2762	−	35.0995i	−1.20876	−	1.13818i
$952$	−1.28489	+	3.95449i	−0.0416435	+	0.128166i
$953$	−25.7067	−	8.35260i	−0.832720	−	0.270567i	−0.138529	−	0.990358i	$-0.544238\pi$
$953$	−25.7067	−	8.35260i	−0.832720	−	0.270567i	−0.694191	+	0.719791i	$0.744238\pi$
$954$	30.3841	−	1.82925i	0.983722	−	0.0592240i
$955$	−1.53639	−	1.86316i	−0.0497166	−	0.0602903i
$956$	21.8471			0.706587
$957$	0.902996	+	4.76864i	0.0291897	+	0.154148i
$958$	−2.56918	−	3.53617i	−0.0830063	−	0.114248i
$959$	−11.6989	−	8.49976i	−0.377778	−	0.274471i
$960$	3.27613	−	2.06567i	0.105737	−	0.0666691i
$961$	29.1807	−	10.4635i	0.941313	−	0.337534i
$962$	−61.4935			−1.98263
$963$	−36.0768	−	43.8499i	−1.16256	−	1.41304i
$964$	13.5621	+	18.6667i	0.436806	+	0.601212i
$965$	9.27187	−	14.5593i	0.298472	−	0.468682i
$966$	14.1938	+	1.81256i	0.456676	+	0.0583182i
$967$	58.7213			1.88835			0.944175	−	0.329445i	$-0.106862\pi$
$967$	58.7213			1.88835			0.944175	+	0.329445i	$0.106862\pi$
$968$	2.23284	+	6.87198i	0.0717662	+	0.220874i
$969$	−28.4614	−	13.4399i	−0.914313	−	0.431752i
$970$	−28.8437	+	11.3674i	−0.926116	+	0.364987i
$971$	−14.9202	+	20.5360i	−0.478813	+	0.659030i	−0.978276	−	0.207305i	$-0.933531\pi$
$971$	−14.9202	+	20.5360i	−0.478813	+	0.659030i	0.499463	+	0.866335i	$0.333531\pi$
$972$	−4.91707	+	14.7926i	−0.157715	+	0.474474i
$973$	14.3820	+	10.4491i	0.461065	+	0.334983i
$974$	−4.79609	+	3.48457i	−0.153677	+	0.111653i
$975$	−37.0624	−	27.1833i	−1.18695	−	0.870562i
$976$	1.61471	+	2.22245i	0.0516855	+	0.0711390i
$977$	−9.53806	+	6.92981i	−0.305150	+	0.221704i	−0.729812	−	0.683647i	$-0.760393\pi$
$977$	−9.53806	+	6.92981i	−0.305150	+	0.221704i	0.424663	+	0.905352i	$0.360393\pi$
$978$	8.45869	+	3.99431i	0.270479	+	0.127724i
$979$	−29.3938	+	21.3559i	−0.939431	+	0.682536i
$980$	−13.5598	+	0.831643i	−0.433151	+	0.0265658i
$981$	2.64168	+	43.8787i	0.0843422	+	1.40094i
$982$	7.58641	+	5.51185i	0.242092	+	0.175890i
$983$	33.9872	+	11.0431i	1.08402	+	0.352220i	0.795934	−	0.605384i	$-0.206980\pi$
$983$	33.9872	+	11.0431i	1.08402	+	0.352220i	0.288088	+	0.957604i	$0.406980\pi$
$984$	−9.35817	−	4.41906i	−0.298328	−	0.140875i
$985$	−17.2210	+	27.0416i	−0.548706	+	0.861617i
$986$			2.83841i			0.0903934i
$987$	0.342461	−	2.68173i	0.0109007	−	0.0853605i
$988$	6.89176	+	21.2107i	0.219256	+	0.674801i
$989$	−24.9219	−	34.3020i	−0.792469	−	1.09074i
$990$	28.1078	+	5.48656i	0.893326	+	0.174374i
$991$			14.7675i			0.469105i	0.972103	+	0.234553i	$0.0753625\pi$
$991$			14.7675i			0.469105i	−0.972103	+	0.234553i	$0.924637\pi$
$992$	5.48547	−	0.953751i	0.174164	−	0.0302816i
$993$	−0.668412	+	5.23418i	−0.0212114	+	0.166102i
$994$	−2.88162	−	2.09362i	−0.0913995	−	0.0664057i
$995$	21.2436	+	5.49016i	0.673468	+	0.174050i
$996$	−14.4719	+	2.74042i	−0.458560	+	0.0868335i
$997$		−	17.3326i		−	0.548929i	−0.961597	−	0.274464i	$-0.911499\pi$
$997$		−	17.3326i		−	0.548929i	0.961597	−	0.274464i	$-0.0885005\pi$
$998$			36.6241i			1.15932i
$999$	4.02371	−	60.0711i	0.127304	−	1.90057i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.y.a.29.6	✓	128
3.2	odd	2		930.2.y.b.29.8	yes	128
5.4	even	2		930.2.y.b.29.27	yes	128
15.14	odd	2	inner	930.2.y.a.29.25	yes	128
31.15	odd	10	inner	930.2.y.a.449.25	yes	128
93.77	even	10		930.2.y.b.449.27	yes	128
155.139	odd	10		930.2.y.b.449.8	yes	128
465.449	even	10	inner	930.2.y.a.449.6	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.y.a.29.6	✓	128	1.1	even	1	trivial
930.2.y.a.29.25	yes	128	15.14	odd	2	inner
930.2.y.a.449.6	yes	128	465.449	even	10	inner
930.2.y.a.449.25	yes	128	31.15	odd	10	inner
930.2.y.b.29.8	yes	128	3.2	odd	2
930.2.y.b.29.27	yes	128	5.4	even	2
930.2.y.b.449.8	yes	128	155.139	odd	10
930.2.y.b.449.27	yes	128	93.77	even	10

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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.y (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-1.51893 + 0.832372i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.72517 - 1.42260i) q^{5} +(1.71810 + 0.219404i) q^{6} +(0.914445 - 0.297121i) q^{7} +(0.309017 - 0.951057i) q^{8} +(1.61431 - 2.52863i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-1.51893 + 0.832372i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.72517 - 1.42260i) q^{5} +(1.71810 + 0.219404i) q^{6} +(0.914445 - 0.297121i) q^{7} +(0.309017 - 0.951057i) q^{8} +(1.61431 - 2.52863i) q^{9} +(-2.23187 + 0.136884i) q^{10} +(-1.31924 - 4.06020i) q^{11} +(-1.26101 - 1.18737i) q^{12} +(-4.29369 + 3.11955i) q^{13} +(-0.914445 - 0.297121i) q^{14} +(-1.43627 + 3.59682i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-4.11281 - 1.33633i) q^{17} +(-2.79230 + 1.09684i) q^{18} +(-3.39964 - 2.46998i) q^{19} +(1.88608 + 1.20112i) q^{20} +(-1.14167 + 1.21247i) q^{21} +(-1.31924 + 4.06020i) q^{22} +(8.17154 + 2.65510i) q^{23} +(0.322256 + 1.70181i) q^{24} +(0.952392 - 4.90846i) q^{25} +5.30729 q^{26} +(-0.347272 + 5.18453i) q^{27} +(0.565158 + 0.777874i) q^{28} +(0.531008 + 0.385800i) q^{29} +(3.27613 - 2.06567i) q^{30} +(5.48547 - 0.953751i) q^{31} +1.00000 q^{32} +(5.38343 + 5.06908i) q^{33} +(2.54186 + 3.49856i) q^{34} +(1.15488 - 1.81348i) q^{35} +(2.90372 + 0.753914i) q^{36} -11.5866 q^{37} +(1.29855 + 3.99651i) q^{38} +(3.92520 - 8.31233i) q^{39} +(-0.819872 - 2.08034i) q^{40} +(-3.51204 + 4.83391i) q^{41} +(1.63630 - 0.309851i) q^{42} +(-3.99229 - 2.90057i) q^{43} +(3.45381 - 2.50934i) q^{44} +(-0.812286 - 6.65884i) q^{45} +(-5.05029 - 6.95113i) q^{46} +(-1.31333 + 0.954190i) q^{47} +(0.739587 - 1.56621i) q^{48} +(-4.91519 + 3.57109i) q^{49} +(-3.65562 + 3.41122i) q^{50} +(7.35941 - 1.39359i) q^{51} +(-4.29369 - 3.11955i) q^{52} +(-9.64977 - 3.13540i) q^{53} +(3.32834 - 3.99026i) q^{54} +(-8.05197 - 5.12776i) q^{55} -0.961505i q^{56} +(7.21976 + 0.921973i) q^{57} +(-0.202827 - 0.624237i) q^{58} +(-5.34618 - 7.35839i) q^{59} +(-3.86461 - 0.254500i) q^{60} -2.74710i q^{61} +(-4.99844 - 2.45268i) q^{62} +(0.724891 - 2.79194i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-2.96944 + 11.4900i) q^{65} +(-1.37576 - 7.26527i) q^{66} -6.69091i q^{67} -4.32446i q^{68} +(-14.6221 + 2.76885i) q^{69} +(-2.00026 + 0.788311i) q^{70} +(3.52318 + 1.14475i) q^{71} +(-1.90602 - 2.31670i) q^{72} +(1.08376 + 3.33548i) q^{73} +(9.37376 + 6.81043i) q^{74} +(2.63904 + 8.24836i) q^{75} +(1.29855 - 3.99651i) q^{76} +(-2.41274 - 3.32086i) q^{77} +(-8.06142 + 4.41764i) q^{78} +(-6.26135 - 2.03444i) q^{79} +(-0.559502 + 2.16494i) q^{80} +(-3.78798 - 8.16402i) q^{81} +(5.68261 - 1.84639i) q^{82} +(4.99843 - 6.87975i) q^{83} +(-1.50592 - 0.711116i) q^{84} +(-8.99635 + 3.54551i) q^{85} +(1.52492 + 4.69321i) q^{86} +(-1.12769 - 0.144008i) q^{87} -4.26915 q^{88} +(-2.62990 - 8.09401i) q^{89} +(-3.25682 + 5.86457i) q^{90} +(-2.99946 + 4.12840i) q^{91} +8.59207i q^{92} +(-7.53818 + 6.01463i) q^{93} +1.62336 q^{94} +(-9.37874 + 0.575213i) q^{95} +(-1.51893 + 0.832372i) q^{96} +(13.1863 - 4.28449i) q^{97} +6.07551 q^{98} +(-12.3964 - 3.21857i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 32 q^{2} - 32 q^{4} + 2 q^{5} - 32 q^{8} - 4 q^{9}+O(q^{10}) \) 128 * q - 32 * q^2 - 32 * q^4 + 2 * q^5 - 32 * q^8 - 4 * q^9	\( 128 q - 32 q^{2} - 32 q^{4} + 2 q^{5} - 32 q^{8} - 4 q^{9} + 2 q^{10} + 25 q^{15} - 32 q^{16} + 6 q^{18} - 8 q^{19} - 3 q^{20} - 20 q^{23} - 10 q^{25} - 48 q^{31} + 128 q^{32} - 8 q^{33} + 10 q^{34} + 16 q^{35} - 4 q^{36} + 12 q^{38} + 4 q^{39} - 3 q^{40} + 37 q^{45} + 10 q^{46} + 6 q^{47} + 46 q^{49} - 5 q^{50} + 34 q^{51} - 20 q^{53} - 25 q^{60} - 8 q^{62} + 36 q^{63} - 32 q^{64} - 8 q^{66} + 8 q^{69} + 16 q^{70} + 6 q^{72} + 5 q^{75} + 12 q^{76} + 50 q^{77} + 4 q^{78} - 10 q^{79} + 2 q^{80} - 24 q^{81} - 40 q^{83} - 30 q^{85} - 4 q^{87} - 53 q^{90} + 20 q^{91} - 26 q^{93} - 4 q^{94} - 26 q^{95} - 124 q^{98}+O(q^{100}) \) 128 * q - 32 * q^2 - 32 * q^4 + 2 * q^5 - 32 * q^8 - 4 * q^9 + 2 * q^10 + 25 * q^15 - 32 * q^16 + 6 * q^18 - 8 * q^19 - 3 * q^20 - 20 * q^23 - 10 * q^25 - 48 * q^31 + 128 * q^32 - 8 * q^33 + 10 * q^34 + 16 * q^35 - 4 * q^36 + 12 * q^38 + 4 * q^39 - 3 * q^40 + 37 * q^45 + 10 * q^46 + 6 * q^47 + 46 * q^49 - 5 * q^50 + 34 * q^51 - 20 * q^53 - 25 * q^60 - 8 * q^62 + 36 * q^63 - 32 * q^64 - 8 * q^66 + 8 * q^69 + 16 * q^70 + 6 * q^72 + 5 * q^75 + 12 * q^76 + 50 * q^77 + 4 * q^78 - 10 * q^79 + 2 * q^80 - 24 * q^81 - 40 * q^83 - 30 * q^85 - 4 * q^87 - 53 * q^90 + 20 * q^91 - 26 * q^93 - 4 * q^94 - 26 * q^95 - 124 * q^98

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