LMFDB - Embedded newform 483.2.q.e.64.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(64,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 12]))

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

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

chi := DirichletCharacter("483.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.q (of order $11$, degree $10$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$6$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			64.2
Character	$\chi$	$=$	483.64
Dual form			483.2.q.e.400.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.43941 - 0.422649i) q^{2} +(0.654861 - 0.755750i) q^{3} +(0.210759 + 0.135447i) q^{4} +(0.271386 - 1.88753i) q^{5} +(-1.26203 + 0.811057i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(1.71869 + 1.98348i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(-1.18840 + 2.60223i) q^{10} +(-0.548049 + 0.160922i) q^{11} +(0.240382 - 0.0705825i) q^{12} +(2.59705 - 5.68674i) q^{13} +(0.213497 + 1.48491i) q^{14} +(-1.24878 - 1.44117i) q^{15} +(-1.84373 - 4.03721i) q^{16} +(-0.303304 + 0.194922i) q^{17} +(-0.213497 + 1.48491i) q^{18} +(-0.261806 - 0.168253i) q^{19} +(0.312858 - 0.361057i) q^{20} +(-0.959493 - 0.281733i) q^{21} +0.856880 q^{22} +(-4.78729 - 0.286084i) q^{23} +2.62451 q^{24} +(1.30833 + 0.384160i) q^{25} +(-6.14170 + 7.08790i) q^{26} +(-0.841254 - 0.540641i) q^{27} +(0.0356541 - 0.247980i) q^{28} +(-6.56626 + 4.21988i) q^{29} +(1.18840 + 2.60223i) q^{30} +(2.98749 + 3.44775i) q^{31} +(0.200550 + 1.39485i) q^{32} +(-0.237279 + 0.519569i) q^{33} +(0.518962 - 0.152381i) q^{34} +(-1.82970 + 0.537248i) q^{35} +(0.104074 - 0.227890i) q^{36} +(-1.69124 - 11.7629i) q^{37} +(0.305734 + 0.352836i) q^{38} +(-2.59705 - 5.68674i) q^{39} +(4.21031 - 2.70580i) q^{40} +(0.241060 - 1.67661i) q^{41} +(1.26203 + 0.811057i) q^{42} +(-4.50530 + 5.19940i) q^{43} +(-0.137303 - 0.0403157i) q^{44} -1.90694 q^{45} +(6.76996 + 2.43513i) q^{46} -6.28517 q^{47} +(-4.25851 - 1.25041i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(-1.72086 - 1.10593i) q^{50} +(-0.0513099 + 0.356868i) q^{51} +(1.31760 - 0.846771i) q^{52} +(1.02516 + 2.24479i) q^{53} +(0.982407 + 1.13376i) q^{54} +(0.155012 + 1.07813i) q^{55} +(1.09026 - 2.38734i) q^{56} +(-0.298603 + 0.0876779i) q^{57} +(11.2351 - 3.29891i) q^{58} +(2.05629 - 4.50264i) q^{59} +(-0.0679904 - 0.472884i) q^{60} +(-4.59603 - 5.30410i) q^{61} +(-2.84304 - 6.22538i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(-0.962410 + 6.69371i) q^{64} +(-10.0291 - 6.44532i) q^{65} +(0.561137 - 0.647587i) q^{66} +(-7.19688 - 2.11319i) q^{67} -0.0903256 q^{68} +(-3.35122 + 3.43065i) q^{69} +2.86075 q^{70} +(3.09561 + 0.908952i) q^{71} +(1.71869 - 1.98348i) q^{72} +(10.2562 + 6.59127i) q^{73} +(-2.53716 + 17.6464i) q^{74} +(1.14710 - 0.737199i) q^{75} +(-0.0323888 - 0.0709216i) q^{76} +(0.374047 + 0.431674i) q^{77} +(1.33472 + 9.28318i) q^{78} +(4.45150 - 9.74743i) q^{79} +(-8.12075 + 2.38447i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-1.05560 + 2.31144i) q^{82} +(0.369496 + 2.56990i) q^{83} +(-0.164062 - 0.189338i) q^{84} +(0.285609 + 0.625396i) q^{85} +(8.68249 - 5.57990i) q^{86} +(-1.11081 + 7.72589i) q^{87} +(-1.26111 - 0.810467i) q^{88} +(3.32332 - 3.83531i) q^{89} +(2.74487 + 0.805967i) q^{90} -6.25169 q^{91} +(-0.970217 - 0.708718i) q^{92} +4.56203 q^{93} +(9.04694 + 2.65642i) q^{94} +(-0.388633 + 0.448506i) q^{95} +(1.18549 + 0.761870i) q^{96} +(0.998081 - 6.94181i) q^{97} +(1.26203 - 0.811057i) q^{98} +(0.237279 + 0.519569i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q - q^{2} + 6 q^{3} - 3 q^{4} + 5 q^{5} + q^{6} + 6 q^{7} + 13 q^{8} - 6 q^{9} - 4 q^{10} - q^{11} + 3 q^{12} + 22 q^{13} + q^{14} + 6 q^{15} - 5 q^{16} + 9 q^{17} - q^{18} - 34 q^{19} + 67 q^{20}+ \cdots - q^{99}+O(q^{100}) $ 60 * q - q^2 + 6 * q^3 - 3 * q^4 + 5 * q^5 + q^6 + 6 * q^7 + 13 * q^8 - 6 * q^9 - 4 * q^10 - q^11 + 3 * q^12 + 22 * q^13 + q^14 + 6 * q^15 - 5 * q^16 + 9 * q^17 - q^18 - 34 * q^19 + 67 * q^20 - 6 * q^21 - 28 * q^22 - 13 * q^23 + 42 * q^24 - 15 * q^25 - 4 * q^26 + 6 * q^27 + 14 * q^28 - 23 * q^29 + 4 * q^30 + 27 * q^31 + 37 * q^32 + q^33 + 3 * q^34 + 6 * q^35 - 3 * q^36 - 82 * q^37 + 2 * q^38 - 22 * q^39 + 57 * q^40 - 22 * q^41 - q^42 + 25 * q^43 - 41 * q^44 + 16 * q^45 - 47 * q^46 - 90 * q^47 - 28 * q^48 - 6 * q^49 + 55 * q^50 - 9 * q^51 - 92 * q^52 - 17 * q^53 - 10 * q^54 + 21 * q^55 + 9 * q^56 - 32 * q^57 + 87 * q^58 + 38 * q^59 - 45 * q^60 + 23 * q^61 + q^62 + 6 * q^63 - 75 * q^64 - 75 * q^65 + 61 * q^66 + 5 * q^67 + 88 * q^68 + 13 * q^69 - 18 * q^70 + 8 * q^71 + 13 * q^72 + 90 * q^73 + 79 * q^74 - 18 * q^75 - 85 * q^76 - 10 * q^77 - 18 * q^78 - 6 * q^79 - 147 * q^80 - 6 * q^81 + 112 * q^82 - 90 * q^83 - 3 * q^84 + 55 * q^85 - 8 * q^86 - 10 * q^87 - 210 * q^88 - 15 * q^89 - 4 * q^90 - 22 * q^91 + 39 * q^92 + 50 * q^93 + 144 * q^94 + 72 * q^95 + 7 * q^96 - 48 * q^97 - q^98 - q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	−1.43941	−	0.422649i	−1.01782	−	0.298858i	−0.270069	−	0.962841i	$-0.587046\pi$
$2$	−1.43941	−	0.422649i	−1.01782	−	0.298858i	−0.747747	+	0.663983i	$0.768865\pi$
$3$	0.654861	−	0.755750i	0.378084	−	0.436332i
$3$	0.654861	−	0.755750i	0.378084	−	0.436332i
$4$	0.210759	+	0.135447i	0.105380	+	0.0677234i
$5$	0.271386	−	1.88753i	0.121368	−	0.844131i	−0.834641	−	0.550794i	$-0.814325\pi$
$5$	0.271386	−	1.88753i	0.121368	−	0.844131i	0.956009	−	0.293337i	$-0.0947658\pi$
$6$	−1.26203	+	0.811057i	−0.515221	+	0.331113i
$7$	−0.415415	−	0.909632i	−0.157012	−	0.343809i
$7$	−0.415415	−	0.909632i	−0.157012	−	0.343809i
$8$	1.71869	+	1.98348i	0.607649	+	0.701264i
$9$	−0.142315	−	0.989821i	−0.0474383	−	0.329940i
$10$	−1.18840	+	2.60223i	−0.375805	+	0.822898i
$11$	−0.548049	+	0.160922i	−0.165243	+	0.0485197i	−0.363308	−	0.931669i	$-0.618353\pi$
$11$	−0.548049	+	0.160922i	−0.165243	+	0.0485197i	0.198065	+	0.980189i	$0.436534\pi$
$12$	0.240382	−	0.0705825i	0.0693922	−	0.0203754i
$13$	2.59705	−	5.68674i	0.720291	−	1.57722i	−0.0932052	−	0.995647i	$-0.529711\pi$
$13$	2.59705	−	5.68674i	0.720291	−	1.57722i	0.813496	−	0.581570i	$-0.197561\pi$
$14$	0.213497	+	1.48491i	0.0570596	+	0.396858i
$15$	−1.24878	−	1.44117i	−0.322434	−	0.372109i
$16$	−1.84373	−	4.03721i	−0.460934	−	1.00930i
$17$	−0.303304	+	0.194922i	−0.0735620	+	0.0472754i	−0.576905	−	0.816811i	$-0.695740\pi$
$17$	−0.303304	+	0.194922i	−0.0735620	+	0.0472754i	0.503343	+	0.864087i	$0.332103\pi$
$18$	−0.213497	+	1.48491i	−0.0503218	+	0.349996i
$19$	−0.261806	−	0.168253i	−0.0600624	−	0.0385998i	0.510265	−	0.860017i	$-0.329547\pi$
$19$	−0.261806	−	0.168253i	−0.0600624	−	0.0385998i	−0.570327	+	0.821417i	$0.693184\pi$
$20$	0.312858	−	0.361057i	0.0699571	−	0.0807348i
$21$	−0.959493	−	0.281733i	−0.209379	−	0.0614791i
$22$	0.856880			0.182687
$23$	−4.78729	−	0.286084i	−0.998219	−	0.0596526i
$23$	−4.78729	−	0.286084i	−0.998219	−	0.0596526i
$24$	2.62451			0.535727
$25$	1.30833	+	0.384160i	0.261666	+	0.0768321i
$26$	−6.14170	+	7.08790i	−1.20449	+	1.39005i
$27$	−0.841254	−	0.540641i	−0.161899	−	0.104046i
$28$	0.0356541	−	0.247980i	0.00673800	−	0.0468638i
$29$	−6.56626	+	4.21988i	−1.21932	+	0.783612i	−0.982195	−	0.187865i	$-0.939843\pi$
$29$	−6.56626	+	4.21988i	−1.21932	+	0.783612i	−0.237130	+	0.971478i	$0.576207\pi$
$30$	1.18840	+	2.60223i	0.216971	+	0.475100i
$31$	2.98749	+	3.44775i	0.536569	+	0.619234i	0.957701	−	0.287765i	$-0.0929124\pi$
$31$	2.98749	+	3.44775i	0.536569	+	0.619234i	−0.421131	+	0.907000i	$0.638367\pi$
$32$	0.200550	+	1.39485i	0.0354525	+	0.246578i
$33$	−0.237279	+	0.519569i	−0.0413050	+	0.0904454i
$34$	0.518962	−	0.152381i	0.0890012	−	0.0261331i
$35$	−1.82970	+	0.537248i	−0.309276	+	0.0908115i
$36$	0.104074	−	0.227890i	0.0173457	−	0.0379817i
$37$	−1.69124	−	11.7629i	−0.278039	−	1.93380i	−0.350797	−	0.936451i	$-0.614089\pi$
$37$	−1.69124	−	11.7629i	−0.278039	−	1.93380i	0.0727589	−	0.997350i	$-0.476820\pi$
$38$	0.305734	+	0.352836i	0.0495967	+	0.0572376i
$39$	−2.59705	−	5.68674i	−0.415860	−	0.910607i
$40$	4.21031	−	2.70580i	0.665708	−	0.427825i
$41$	0.241060	−	1.67661i	0.0376473	−	0.261843i	−0.962301	−	0.271986i	$-0.912320\pi$
$41$	0.241060	−	1.67661i	0.0376473	−	0.261843i	0.999949	+	0.0101432i	$0.00322872\pi$
$42$	1.26203	+	0.811057i	0.194735	+	0.125149i
$43$	−4.50530	+	5.19940i	−0.687052	+	0.792901i	−0.986942	−	0.161073i	$-0.948504\pi$
$43$	−4.50530	+	5.19940i	−0.687052	+	0.792901i	0.299890	+	0.953974i	$0.403050\pi$
$44$	−0.137303	−	0.0403157i	−0.0206992	−	0.00607782i
$45$	−1.90694			−0.284270
$46$	6.76996	+	2.43513i	0.998176	+	0.359041i
$47$	−6.28517			−0.916787			−0.458393	−	0.888749i	$-0.651575\pi$
$47$	−6.28517			−0.916787			−0.458393	+	0.888749i	$0.651575\pi$
$48$	−4.25851	−	1.25041i	−0.614663	−	0.180481i
$49$	−0.654861	+	0.755750i	−0.0935515	+	0.107964i
$50$	−1.72086	−	1.10593i	−0.243366	−	0.156402i
$51$	−0.0513099	+	0.356868i	−0.00718482	+	0.0499716i
$52$	1.31760	−	0.846771i	0.182718	−	0.117426i
$53$	1.02516	+	2.24479i	0.140817	+	0.308346i	0.966880	−	0.255232i	$-0.0821518\pi$
$53$	1.02516	+	2.24479i	0.140817	+	0.308346i	−0.826063	+	0.563578i	$0.809425\pi$
$54$	0.982407	+	1.13376i	0.133689	+	0.154285i
$55$	0.155012	+	1.07813i	0.0209018	+	0.145375i
$56$	1.09026	−	2.38734i	0.145692	−	0.319022i
$57$	−0.298603	+	0.0876779i	−0.0395510	+	0.0116132i
$58$	11.2351	−	3.29891i	1.47524	−	0.433169i
$59$	2.05629	−	4.50264i	0.267706	−	0.586193i	−0.727265	−	0.686356i	$-0.759209\pi$
$59$	2.05629	−	4.50264i	0.267706	−	0.586193i	0.994971	+	0.100163i	$0.0319364\pi$
$60$	−0.0679904	−	0.472884i	−0.00877753	−	0.0610491i
$61$	−4.59603	−	5.30410i	−0.588462	−	0.679121i	0.380940	−	0.924600i	$-0.375600\pi$
$61$	−4.59603	−	5.30410i	−0.588462	−	0.679121i	−0.969402	+	0.245479i	$0.921055\pi$
$62$	−2.84304	−	6.22538i	−0.361066	−	0.790624i
$63$	−0.841254	+	0.540641i	−0.105988	+	0.0681143i
$64$	−0.962410	+	6.69371i	−0.120301	+	0.836714i
$65$	−10.0291	−	6.44532i	−1.24396	−	0.799443i
$66$	0.561137	−	0.647587i	0.0690712	−	0.0797124i
$67$	−7.19688	−	2.11319i	−0.879238	−	0.258168i	−0.189198	−	0.981939i	$-0.560589\pi$
$67$	−7.19688	−	2.11319i	−0.879238	−	0.258168i	−0.690040	+	0.723771i	$0.742407\pi$
$68$	−0.0903256			−0.0109536
$69$	−3.35122	+	3.43065i	−0.403439	+	0.413002i
$70$	2.86075			0.341925
$71$	3.09561	+	0.908952i	0.367381	+	0.107873i	0.460212	−	0.887809i	$-0.347773\pi$
$71$	3.09561	+	0.908952i	0.367381	+	0.107873i	−0.0928310	+	0.995682i	$0.529592\pi$
$72$	1.71869	−	1.98348i	0.202550	−	0.233755i
$73$	10.2562	+	6.59127i	1.20040	+	0.771450i	0.979025	−	0.203739i	$-0.0653095\pi$
$73$	10.2562	+	6.59127i	1.20040	+	0.771450i	0.221374	+	0.975189i	$0.428946\pi$
$74$	−2.53716	+	17.6464i	−0.294939	+	2.05135i
$75$	1.14710	−	0.737199i	0.132456	−	0.0851244i
$76$	−0.0323888	−	0.0709216i	−0.00371525	−	0.00813526i
$77$	0.374047	+	0.431674i	0.0426266	+	0.0491938i
$78$	1.33472	+	9.28318i	0.151127	+	1.05111i
$79$	4.45150	−	9.74743i	0.500833	−	1.09667i	−0.475365	−	0.879789i	$-0.657684\pi$
$79$	4.45150	−	9.74743i	0.500833	−	1.09667i	0.976198	−	0.216883i	$-0.0695889\pi$
$80$	−8.12075	+	2.38447i	−0.907927	+	0.266591i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	−1.05560	+	2.31144i	−0.116572	+	0.255256i
$83$	0.369496	+	2.56990i	0.0405575	+	0.282083i	1.00000		0.000179027i	$5.69862e-5\pi$
$83$	0.369496	+	2.56990i	0.0405575	+	0.282083i	−0.959443	+	0.281904i	$0.909034\pi$
$84$	−0.164062	−	0.189338i	−0.0179007	−	0.0206585i
$85$	0.285609	+	0.625396i	0.0309786	+	0.0678337i
$86$	8.68249	−	5.57990i	0.936257	−	0.601696i
$87$	−1.11081	+	7.72589i	−0.119092	+	0.828302i
$88$	−1.26111	−	0.810467i	−0.134435	−	0.0863961i
$89$	3.32332	−	3.83531i	0.352271	−	0.406542i	−0.551764	−	0.834000i	$-0.686045\pi$
$89$	3.32332	−	3.83531i	0.352271	−	0.406542i	0.904035	+	0.427458i	$0.140591\pi$
$90$	2.74487	+	0.805967i	0.289335	+	0.0849564i
$91$	−6.25169			−0.655355
$92$	−0.970217	−	0.708718i	−0.101152	−	0.0738889i
$93$	4.56203			0.473060
$94$	9.04694	+	2.65642i	0.933120	+	0.273989i
$95$	−0.388633	+	0.448506i	−0.0398729	+	0.0460158i
$96$	1.18549	+	0.761870i	0.120994	+	0.0777580i
$97$	0.998081	−	6.94181i	0.101340	−	0.704834i	−0.874289	−	0.485406i	$-0.838672\pi$
$97$	0.998081	−	6.94181i	0.101340	−	0.704834i	0.975629	−	0.219428i	$-0.0704190\pi$
$98$	1.26203	−	0.811057i	0.127484	−	0.0819291i
$99$	0.237279	+	0.519569i	0.0238475	+	0.0522187i
$100$	0.223709	+	0.258174i	0.0223709	+	0.0258174i
$101$	−0.463892	−	3.22644i	−0.0461589	−	0.321042i	−0.999798	−	0.0200903i	$-0.993605\pi$
$101$	−0.463892	−	3.22644i	−0.0461589	−	0.321042i	0.953639	−	0.300952i	$-0.0973045\pi$
$102$	0.224686	−	0.491993i	0.0222472	−	0.0487146i
$103$	12.8966	−	3.78679i	1.27074	−	0.373123i	0.424259	−	0.905541i	$-0.360535\pi$
$103$	12.8966	−	3.78679i	1.27074	−	0.373123i	0.846482	+	0.532418i	$0.178716\pi$
$104$	15.7430	−	4.62257i	1.54373	−	0.453280i
$105$	−0.792173	+	1.73462i	−0.0773082	+	0.169281i
$106$	−0.526869	−	3.66445i	−0.0511740	−	0.355923i
$107$	5.87473	+	6.77980i	0.567932	+	0.655428i	0.964966	−	0.262376i	$-0.0845060\pi$
$107$	5.87473	+	6.77980i	0.567932	+	0.655428i	−0.397034	+	0.917804i	$0.629961\pi$
$108$	−0.104074	−	0.227890i	−0.0100145	−	0.0219287i
$109$	−0.772561	+	0.496495i	−0.0739979	+	0.0475556i	−0.577117	−	0.816662i	$-0.695822\pi$
$109$	−0.772561	+	0.496495i	−0.0739979	+	0.0475556i	0.503119	+	0.864217i	$0.332186\pi$
$110$	0.232546	−	1.61739i	0.0221724	−	0.154212i
$111$	−9.99730	−	6.42487i	−0.948902	−	0.609822i
$112$	−2.90646	+	3.35424i	−0.274635	+	0.316946i
$113$	18.6795	+	5.48480i	1.75722	+	0.515966i	0.991826	−	0.127596i	$-0.0407260\pi$
$113$	18.6795	+	5.48480i	1.75722	+	0.515966i	0.765394	+	0.643562i	$0.222544\pi$
$114$	0.466869			0.0437263
$115$	−1.83920	+	8.95854i	−0.171506	+	0.835388i
$116$	−1.95547			−0.181561
$117$	−5.99845	−	1.76130i	−0.554557	−	0.162833i
$118$	−4.86287	+	5.61205i	−0.447663	+	0.516631i
$119$	0.303304	+	0.194922i	0.0278038	+	0.0178684i
$120$	0.712258	−	4.95386i	0.0650199	−	0.452223i
$121$	−8.97933	+	5.77066i	−0.816302	+	0.524606i
$122$	4.37380	+	9.57728i	0.395985	+	0.867086i
$123$	−1.10924	−	1.28013i	−0.100017	−	0.115425i
$124$	0.162655	+	1.13129i	0.0146069	+	0.101593i
$125$	5.04105	−	11.0383i	0.450885	−	0.987300i
$126$	1.43941	−	0.422649i	0.128233	−	0.0376525i
$127$	19.6388	−	5.76648i	1.74267	−	0.511693i	0.753367	−	0.657600i	$-0.228428\pi$
$127$	19.6388	−	5.76648i	1.74267	−	0.511693i	0.989298	+	0.145908i	$0.0466103\pi$
$128$	5.38519	−	11.7919i	0.475988	−	1.04227i
$129$	0.979096	+	6.80976i	0.0862046	+	0.599566i
$130$	11.7119	+	13.5162i	1.02720	+	1.18545i
$131$	2.45861	+	5.38362i	0.214810	+	0.470369i	0.986108	−	0.166106i	$-0.0531193\pi$
$131$	2.45861	+	5.38362i	0.214810	+	0.470369i	−0.771298	+	0.636474i	$0.780392\pi$
$132$	−0.120383	+	0.0773653i	−0.0104780	+	0.00673378i
$133$	−0.0442897	+	0.308042i	−0.00384041	+	0.0267106i
$134$	9.46611	+	6.08350i	0.817747	+	0.525534i
$135$	−1.24878	+	1.44117i	−0.107478	+	0.124036i
$136$	−0.907908	−	0.266586i	−0.0778525	−	0.0228595i
$137$	14.4749			1.23667			0.618336	−	0.785914i	$-0.287807\pi$
$137$	14.4749			1.23667			0.618336	+	0.785914i	$0.287807\pi$
$138$	6.27373	−	3.52172i	0.534055	−	0.299789i
$139$	14.3470			1.21690			0.608448	−	0.793594i	$-0.291792\pi$
$139$	14.3470			1.21690			0.608448	+	0.793594i	$0.291792\pi$
$140$	−0.458395	−	0.134597i	−0.0387414	−	0.0113755i
$141$	−4.11591	+	4.75002i	−0.346622	+	0.400024i
$142$	−4.07168	−	2.61671i	−0.341687	−	0.219589i
$143$	−0.508189	+	3.53453i	−0.0424969	+	0.295572i
$144$	−3.73373	+	2.39952i	−0.311144	+	0.199960i
$145$	6.18318	+	13.5393i	0.513485	+	1.12437i
$146$	−11.9771	−	13.8223i	−0.991231	−	1.14394i
$147$	0.142315	+	0.989821i	0.0117379	+	0.0816391i
$148$	1.23679	−	2.70820i	0.101664	−	0.222613i
$149$	−9.03916	+	2.65414i	−0.740517	+	0.217435i	−0.630169	−	0.776458i	$-0.717015\pi$
$149$	−9.03916	+	2.65414i	−0.740517	+	0.217435i	−0.110348	+	0.993893i	$0.535196\pi$
$150$	−1.96273	+	0.576309i	−0.160256	+	0.0470554i
$151$	−1.42023	+	3.10987i	−0.115577	+	0.253077i	−0.958576	−	0.284837i	$-0.908060\pi$
$151$	−1.42023	+	3.10987i	−0.115577	+	0.253077i	0.842999	+	0.537915i	$0.180788\pi$
$152$	−0.116239	−	0.808460i	−0.00942823	−	0.0655748i
$153$	0.236102	+	0.272476i	0.0190877	+	0.0220284i
$154$	−0.355961	−	0.779445i	−0.0286841	−	0.0628095i
$155$	7.31851	−	4.70332i	0.587837	−	0.377780i
$156$	0.222899	−	1.55029i	0.0178462	−	0.124123i
$157$	−8.37813	−	5.38430i	−0.668648	−	0.429714i	0.161790	−	0.986825i	$-0.448273\pi$
$157$	−8.37813	−	5.38430i	−0.668648	−	0.429714i	−0.830438	+	0.557111i	$0.811910\pi$
$158$	−10.5273	+	12.1491i	−0.837505	+	0.966532i
$159$	2.36784	+	0.695260i	0.187782	+	0.0551377i
$160$	2.68726			0.212447
$161$	1.72848	+	4.47352i	0.136223	+	0.352562i
$162$	1.50018			0.117865
$163$	10.6040	+	3.11363i	0.830573	+	0.243878i	0.669263	−	0.743026i	$-0.266610\pi$
$163$	10.6040	+	3.11363i	0.830573	+	0.243878i	0.161310	+	0.986904i	$0.448428\pi$
$164$	0.277897	−	0.320710i	0.0217001	−	0.0250433i
$165$	0.916310	+	0.588877i	0.0713346	+	0.0458440i
$166$	0.554309	−	3.85531i	0.0430228	−	0.299230i
$167$	−9.53743	+	6.12934i	−0.738029	+	0.474302i	−0.854866	−	0.518849i	$-0.826361\pi$
$167$	−9.53743	+	6.12934i	−0.738029	+	0.474302i	0.116837	+	0.993151i	$0.462724\pi$
$168$	−1.09026	−	2.38734i	−0.0841156	−	0.184187i
$169$	−17.0811	−	19.7127i	−1.31393	−	1.51636i
$170$	−0.146785	−	1.02091i	−0.0112579	−	0.0783004i
$171$	−0.129281	+	0.283086i	−0.00988637	+	0.0216481i
$172$	−1.65378	+	0.485592i	−0.126099	+	0.0370261i
$173$	12.6027	−	3.70048i	0.958165	−	0.281343i	0.234982	−	0.972000i	$-0.424497\pi$
$173$	12.6027	−	3.70048i	0.958165	−	0.281343i	0.723182	+	0.690657i	$0.242679\pi$
$174$	4.86425	−	10.6512i	0.368758	−	0.807467i
$175$	−0.194055	−	1.34969i	−0.0146692	−	0.102027i
$176$	1.66013	+	1.91589i	0.125137	+	0.144416i
$177$	−2.05629	−	4.50264i	−0.154560	−	0.338439i
$178$	−6.40460	+	4.11599i	−0.480045	+	0.308506i
$179$	1.92508	−	13.3892i	0.143887	−	1.00076i	−0.782087	−	0.623170i	$-0.785845\pi$
$179$	1.92508	−	13.3892i	0.143887	−	1.00076i	0.925974	−	0.377588i	$-0.123246\pi$
$180$	−0.401906	−	0.258289i	−0.0299563	−	0.0192518i
$181$	−13.1328	+	15.1561i	−0.976153	+	1.12654i	0.0157923	+	0.999875i	$0.494973\pi$
$181$	−13.1328	+	15.1561i	−0.976153	+	1.12654i	−0.991945	+	0.126665i	$0.959573\pi$
$182$	8.99874	+	2.64227i	0.667031	+	0.195858i
$183$	−7.01834			−0.518810
$184$	−7.66044	−	9.98716i	−0.564735	−	0.736263i
$185$	−22.6618			−1.66613
$186$	−6.56662	−	1.92813i	−0.481488	−	0.141378i
$187$	0.134858	−	0.155635i	0.00986181	−	0.0113811i
$188$	−1.32466	−	0.851306i	−0.0966107	−	0.0620879i
$189$	−0.142315	+	0.989821i	−0.0103519	+	0.0719989i
$190$	0.748963	−	0.481329i	0.0543355	−	0.0349193i
$191$	−6.62496	−	14.5066i	−0.479365	−	1.04966i	−0.982638	−	0.185535i	$-0.940598\pi$
$191$	−6.62496	−	14.5066i	−0.479365	−	1.04966i	0.503273	−	0.864128i	$-0.332129\pi$
$192$	4.42852	+	5.11079i	0.319601	+	0.368839i
$193$	−0.585144	−	4.06976i	−0.0421196	−	0.292948i	−0.999984	−	0.00572605i	$-0.998177\pi$
$193$	−0.585144	−	4.06976i	−0.0421196	−	0.292948i	0.957864	−	0.287222i	$-0.0927318\pi$
$194$	−4.37059	+	9.57026i	−0.313790	+	0.687105i
$195$	−11.4387	+	3.35871i	−0.819143	+	0.240522i
$196$	−0.240382	+	0.0705825i	−0.0171701	+	0.00504160i
$197$	3.44107	−	7.53489i	0.245166	−	0.536839i	−0.746544	−	0.665336i	$-0.768288\pi$
$197$	3.44107	−	7.53489i	0.245166	−	0.536839i	0.991710	+	0.128497i	$0.0410154\pi$
$198$	−0.121947	−	0.848158i	−0.00866638	−	0.0602760i
$199$	11.4597	+	13.2252i	0.812359	+	0.937512i	0.998991	−	0.0449182i	$-0.0143027\pi$
$199$	11.4597	+	13.2252i	0.812359	+	0.937512i	−0.186632	+	0.982430i	$0.559757\pi$
$200$	1.48664	+	3.25529i	0.105122	+	0.230184i
$201$	−6.31000	+	4.05519i	−0.445073	+	0.286031i
$202$	−0.695919	+	4.84023i	−0.0489647	+	0.340557i
$203$	6.56626	+	4.21988i	0.460861	+	0.296178i
$204$	−0.0591507	+	0.0682635i	−0.00414138	+	0.00477940i
$205$	−3.09924	−	0.910019i	−0.216460	−	0.0635585i
$206$	−20.1640			−1.40489
$207$	0.398131	+	4.77928i	0.0276720	+	0.332183i
$208$	−27.7468			−1.92390
$209$	0.170558	+	0.0500804i	0.0117977	+	0.00346413i
$210$	1.87339	−	2.16201i	0.129277	−	0.149193i
$211$	−17.1362	−	11.0127i	−1.17970	−	0.758148i	−0.204370	−	0.978894i	$-0.565515\pi$
$211$	−17.1362	−	11.0127i	−1.17970	−	0.758148i	−0.975331	+	0.220746i	$0.929151\pi$
$212$	−0.0879873	+	0.611965i	−0.00604299	+	0.0420299i
$213$	2.71413	−	1.74427i	0.185969	−	0.119515i
$214$	−5.59067	−	12.2419i	−0.382170	−	0.836836i
$215$	8.59136	+	9.91496i	0.585926	+	0.676195i
$216$	−0.373507	−	2.59780i	−0.0254140	−	0.176758i
$217$	1.89513	−	4.14977i	0.128650	−	0.281704i
$218$	1.32187	−	0.388137i	0.0895286	−	0.0262880i
$219$	11.6977	−	3.43477i	0.790460	−	0.232100i
$220$	−0.113359	+	0.248222i	−0.00764269	+	0.0167352i
$221$	0.320774	+	2.23103i	0.0215776	+	0.150075i
$222$	11.6747	+	13.4734i	0.783557	+	0.904273i
$223$	2.33670	+	5.11665i	0.156477	+	0.342637i	0.971592	−	0.236663i	$-0.0760536\pi$
$223$	2.33670	+	5.11665i	0.156477	+	0.342637i	−0.815115	+	0.579299i	$0.803326\pi$
$224$	1.18549	−	0.761870i	0.0792091	−	0.0509046i
$225$	0.194055	−	1.34969i	0.0129370	−	0.0899790i
$226$	−24.5693	−	15.7897i	−1.63433	−	1.05032i
$227$	−6.04331	+	6.97435i	−0.401109	+	0.462904i	−0.919990	−	0.391942i	$-0.871803\pi$
$227$	−6.04331	+	6.97435i	−0.401109	+	0.462904i	0.518881	+	0.854846i	$0.326349\pi$
$228$	−0.0748091	−	0.0219659i	−0.00495435	−	0.00145473i
$229$	−5.94875			−0.393104			−0.196552	−	0.980493i	$-0.562975\pi$
$229$	−5.94875			−0.393104			−0.196552	+	0.980493i	$0.562975\pi$
$230$	6.43367	−	12.1177i	0.424224	−	0.799015i
$231$	0.571186			0.0375813
$232$	−19.6554	−	5.77135i	−1.29044	−	0.378908i
$233$	17.9495	−	20.7148i	1.17591	−	1.35707i	0.255171	−	0.966896i	$-0.417868\pi$
$233$	17.9495	−	20.7148i	1.17591	−	1.35707i	0.920740	−	0.390177i	$-0.127586\pi$
$234$	7.88981	+	5.07048i	0.515773	+	0.331467i
$235$	−1.70571	+	11.8635i	−0.111268	+	0.773888i
$236$	1.04325	−	0.670455i	0.0679097	−	0.0436429i
$237$	−4.45150	−	9.74743i	−0.289156	−	0.633164i
$238$	−0.354195	−	0.408763i	−0.0229591	−	0.0264962i
$239$	3.07872	+	21.4130i	0.199146	+	1.38509i	0.806770	+	0.590865i	$0.201214\pi$
$239$	3.07872	+	21.4130i	0.199146	+	1.38509i	−0.607624	+	0.794225i	$0.707877\pi$
$240$	−3.51590	+	7.69874i	−0.226950	+	0.496952i
$241$	15.1547	−	4.44981i	0.976198	−	0.286637i	0.245544	−	0.969386i	$-0.421034\pi$
$241$	15.1547	−	4.44981i	0.976198	−	0.286637i	0.730654	+	0.682748i	$0.239215\pi$
$242$	15.3639	−	4.51124i	0.987628	−	0.289994i
$243$	−0.415415	+	0.909632i	−0.0266489	+	0.0583529i
$244$	−0.250233	−	1.74041i	−0.0160195	−	0.111418i
$245$	1.24878	+	1.44117i	0.0797818	+	0.0920731i
$246$	1.05560	+	2.31144i	0.0673027	+	0.147372i
$247$	−1.63673	+	1.05186i	−0.104143	+	0.0669284i
$248$	−1.70395	+	11.8512i	−0.108201	+	0.752554i
$249$	2.18417	+	1.40368i	0.138416	+	0.0889547i
$250$	−11.9215	+	13.7581i	−0.753980	+	0.870139i
$251$	−21.4854	−	6.30868i	−1.35615	−	0.398200i	−0.478743	−	0.877955i	$-0.658907\pi$
$251$	−21.4854	−	6.30868i	−1.35615	−	0.398200i	−0.877402	+	0.479755i	$0.840726\pi$
$252$	−0.250530			−0.0157819
$253$	2.66971	−	0.613591i	0.167843	−	0.0385761i
$254$	−30.7055			−1.92664
$255$	0.659676	+	0.193698i	0.0413105	+	0.0121299i
$256$	−3.87829	+	4.47578i	−0.242393	+	0.279737i
$257$	−11.7974	−	7.58170i	−0.735899	−	0.472933i	0.118236	−	0.992986i	$-0.462276\pi$
$257$	−11.7974	−	7.58170i	−0.735899	−	0.472933i	−0.854134	+	0.520052i	$0.825912\pi$
$258$	1.46882	−	10.2158i	0.0914445	−	0.636011i
$259$	−9.99730	+	6.42487i	−0.621202	+	0.399222i
$260$	−1.24073	−	2.71682i	−0.0769468	−	0.168490i
$261$	5.11141	+	5.89888i	0.316388	+	0.365131i
$262$	−1.26357	−	8.78835i	−0.0780639	−	0.542946i
$263$	10.7920	−	23.6313i	0.665466	−	1.45717i	−0.211874	−	0.977297i	$-0.567957\pi$
$263$	10.7920	−	23.6313i	0.665466	−	1.45717i	0.877340	−	0.479869i	$-0.159316\pi$
$264$	−1.43836	+	0.422341i	−0.0885251	+	0.0259933i
$265$	4.51533	−	1.32582i	0.277375	−	0.0814446i
$266$	0.193944	−	0.424679i	0.0118915	−	0.0260388i
$267$	−0.722226	−	5.02319i	−0.0441995	−	0.307414i
$268$	−1.23058	−	1.42017i	−0.0751698	−	0.0867506i
$269$	−10.1375	−	22.1981i	−0.618095	−	1.35344i	−0.916897	−	0.399125i	$-0.869314\pi$
$269$	−10.1375	−	22.1981i	−0.618095	−	1.35344i	0.298801	−	0.954315i	$-0.403413\pi$
$270$	2.40662	−	1.54664i	0.146462	−	0.0941255i
$271$	−1.93328	+	13.4463i	−0.117438	+	0.816802i	0.842921	+	0.538037i	$0.180834\pi$
$271$	−1.93328	+	13.4463i	−0.117438	+	0.816802i	−0.960359	+	0.278765i	$0.910075\pi$
$272$	1.34615	+	0.865119i	0.0816225	+	0.0524556i
$273$	−4.09399	+	4.72471i	−0.247779	+	0.285953i
$274$	−20.8353	−	6.11778i	−1.25870	−	0.369589i
$275$	−0.778849			−0.0469664
$276$	−1.17097	+	0.269129i	−0.0704841	+	0.0161997i
$277$	−0.0513605			−0.00308596			−0.00154298	−	0.999999i	$-0.500491\pi$
$277$	−0.0513605			−0.00308596			−0.00154298	+	0.999999i	$0.500491\pi$
$278$	−20.6512	−	6.06374i	−1.23858	−	0.363679i
$279$	2.98749	−	3.44775i	0.178856	−	0.206411i
$280$	−4.21031	−	2.70580i	−0.251614	−	0.161702i
$281$	3.73218	−	25.9579i	0.222643	−	1.54852i	−0.505339	−	0.862921i	$-0.668633\pi$
$281$	3.73218	−	25.9579i	0.222643	−	1.54852i	0.727982	−	0.685596i	$-0.240458\pi$
$282$	7.93207	−	5.09763i	0.472348	−	0.303560i
$283$	7.61320	+	16.6706i	0.452558	+	0.990963i	0.989121	+	0.147103i	$0.0469950\pi$
$283$	7.61320	+	16.6706i	0.452558	+	0.990963i	−0.536563	+	0.843860i	$0.680278\pi$
$284$	0.529313	+	0.610860i	0.0314090	+	0.0362479i
$285$	0.0844580	+	0.587419i	0.00500286	+	0.0347957i
$286$	2.22536	−	4.87285i	0.131588	−	0.288138i
$287$	−1.62524	+	0.477213i	−0.0959348	+	0.0281690i
$288$	1.35212	−	0.397017i	0.0796742	−	0.0233944i
$289$	−7.00806	+	15.3455i	−0.412239	+	0.902677i
$290$	−3.17777	−	22.1019i	−0.186605	−	1.29787i
$291$	−4.59266	−	5.30022i	−0.269227	−	0.310704i
$292$	1.26883	+	2.77834i	0.0742524	+	0.162590i
$293$	−2.05068	+	1.31789i	−0.119802	+	0.0769920i	−0.599169	−	0.800622i	$-0.704502\pi$
$293$	−2.05068	+	1.31789i	−0.119802	+	0.0769920i	0.479368	+	0.877614i	$0.340866\pi$
$294$	0.213497	−	1.48491i	0.0124514	−	0.0866015i
$295$	−7.94083	−	5.10326i	−0.462333	−	0.297124i
$296$	20.4246	−	23.5712i	1.18716	−	1.37005i
$297$	0.548049	+	0.160922i	0.0318010	+	0.00933762i
$298$	14.1328			0.818692
$299$	−14.0597	+	26.4811i	−0.813093	+	1.53144i
$300$	0.341614			0.0197231
$301$	6.60111	+	1.93826i	0.380482	+	0.111719i
$302$	3.35867	−	3.87611i	0.193270	−	0.223045i
$303$	−2.74216	−	1.76228i	−0.157533	−	0.101240i
$304$	−0.196571	+	1.36718i	−0.0112741	+	0.0784132i
$305$	−11.2590	+	7.23571i	−0.644687	+	0.414315i
$306$	−0.224686	−	0.491993i	−0.0128444	−	0.0281254i
$307$	13.2283	+	15.2663i	0.754981	+	0.871294i	0.995041	−	0.0994635i	$-0.0317127\pi$
$307$	13.2283	+	15.2663i	0.754981	+	0.871294i	−0.240060	+	0.970758i	$0.577167\pi$
$308$	0.0203651	+	0.141643i	0.00116041	+	0.00807084i
$309$	5.58362	−	12.2264i	0.317641	−	0.695537i
$310$	−12.5222	+	3.67684i	−0.711212	+	0.208831i
$311$	5.05521	−	1.48434i	0.286655	−	0.0841695i	−0.135244	−	0.990812i	$-0.543182\pi$
$311$	5.05521	−	1.48434i	0.286655	−	0.0841695i	0.421899	+	0.906643i	$0.361364\pi$
$312$	6.81598	−	14.9249i	0.385879	−	0.844957i
$313$	−0.0330411	−	0.229806i	−0.00186759	−	0.0129894i	0.988866	−	0.148806i	$-0.0475431\pi$
$313$	−0.0330411	−	0.229806i	−0.00186759	−	0.0129894i	−0.990734	+	0.135817i	$0.956634\pi$
$314$	9.78390	+	11.2912i	0.552137	+	0.637200i
$315$	0.792173	+	1.73462i	0.0446339	+	0.0977346i
$316$	2.25845	−	1.45142i	0.127048	−	0.0816487i
$317$	−1.34214	+	9.33476i	−0.0753819	+	0.524292i	0.916786	+	0.399379i	$0.130774\pi$
$317$	−1.34214	+	9.33476i	−0.0753819	+	0.524292i	−0.992168	+	0.124913i	$0.960135\pi$
$318$	−3.11444	−	2.00153i	−0.174649	−	0.112240i
$319$	2.91956	−	3.36936i	0.163464	−	0.188648i
$320$	12.3734	+	3.63316i	0.691695	+	0.203100i
$321$	8.97096			0.500710
$322$	−0.597267	−	7.16976i	−0.0332844	−	0.399555i
$323$	0.112203			0.00624313
$324$	−0.240382	−	0.0705825i	−0.0133545	−	0.00392125i
$325$	5.58241	−	6.44245i	0.309657	−	0.357363i
$326$	−13.9476	−	8.96357i	−0.772485	−	0.496446i
$327$	−0.130694	+	0.908997i	−0.00722740	+	0.0502677i
$328$	3.73982	−	2.40344i	0.206497	−	0.132708i
$329$	2.61096	+	5.71720i	0.143947	+	0.315199i
$330$	−1.07006	−	1.23491i	−0.0589047	−	0.0679796i
$331$	1.51335	+	10.5256i	0.0831812	+	0.578538i	0.988200	+	0.153167i	$0.0489472\pi$
$331$	1.51335	+	10.5256i	0.0831812	+	0.578538i	−0.905019	+	0.425371i	$0.860144\pi$
$332$	−0.270210	+	0.591678i	−0.0148297	+	0.0324725i
$333$	−11.4024	+	3.34806i	−0.624850	+	0.183472i
$334$	16.3188	−	4.79164i	0.892926	−	0.262187i
$335$	−5.94186	+	13.0109i	−0.324638	+	0.710859i
$336$	0.631635	+	4.39312i	0.0344585	+	0.239664i
$337$	9.45408	+	10.9106i	0.514997	+	0.594338i	0.952371	−	0.304942i	$-0.0986370\pi$
$337$	9.45408	+	10.9106i	0.514997	+	0.594338i	−0.437374	+	0.899280i	$0.644092\pi$
$338$	16.2552	+	35.5940i	0.884167	+	1.93606i
$339$	16.3776	−	10.5253i	0.889510	−	0.571653i
$340$	−0.0245131	+	0.170493i	−0.00132941	+	0.00924626i
$341$	−2.19211	−	1.40878i	−0.118709	−	0.0762899i
$342$	0.305734	−	0.352836i	0.0165322	−	0.0190792i
$343$	0.959493	+	0.281733i	0.0518078	+	0.0152121i
$344$	−18.0561			−0.973520
$345$	5.56599	+	7.25657i	0.299663	+	0.390680i
$346$	−19.7044			−1.05932
$347$	−5.00669	−	1.47010i	−0.268773	−	0.0789189i	0.144569	−	0.989495i	$-0.453820\pi$
$347$	−5.00669	−	1.47010i	−0.268773	−	0.0789189i	−0.413342	+	0.910576i	$0.635639\pi$
$348$	−1.28056	+	1.47785i	−0.0686453	+	0.0792209i
$349$	19.0552	+	12.2461i	1.02000	+	0.655517i	0.939963	−	0.341275i	$-0.110859\pi$
$349$	19.0552	+	12.2461i	1.02000	+	0.655517i	0.0800401	+	0.996792i	$0.474495\pi$
$350$	−0.291117	+	2.02477i	−0.0155609	+	0.108228i
$351$	−5.25926	+	3.37992i	−0.280718	+	0.180407i
$352$	−0.334373	−	0.732176i	−0.0178222	−	0.0390251i
$353$	12.3220	+	14.2203i	0.655831	+	0.756870i	0.982090	−	0.188411i	$-0.0603336\pi$
$353$	12.3220	+	14.2203i	0.655831	+	0.756870i	−0.326259	+	0.945280i	$0.605788\pi$
$354$	1.05680	+	7.35022i	0.0561684	+	0.390660i
$355$	2.55578	−	5.59639i	0.135647	−	0.297025i
$356$	1.21990	−	0.358195i	0.0646546	−	0.0189843i
$357$	0.345934	−	0.101575i	0.0183088	−	0.00537594i
$358$	−8.42991	+	18.4589i	−0.445535	+	0.975585i
$359$	−0.161478	−	1.12311i	−0.00852251	−	0.0592754i	0.985116	−	0.171889i	$-0.0549869\pi$
$359$	−0.161478	−	1.12311i	−0.00852251	−	0.0592754i	−0.993639	+	0.112613i	$0.964078\pi$
$360$	−3.27745	−	3.78238i	−0.172737	−	0.199349i
$361$	−7.85265	−	17.1949i	−0.413297	−	0.904995i
$362$	25.3092	−	16.2652i	1.33022	−	0.854880i
$363$	−1.51903	+	10.5651i	−0.0797285	+	0.554524i
$364$	−1.31760	−	0.846771i	−0.0690611	−	0.0443829i
$365$	15.2246	−	17.5702i	0.796894	−	0.919665i
$366$	10.1023	+	2.96629i	0.528053	+	0.155050i
$367$	−12.7690			−0.666535			−0.333268	−	0.942832i	$-0.608151\pi$
$367$	−12.7690			−0.666535			−0.333268	+	0.942832i	$0.608151\pi$
$368$	7.67151	+	19.8548i	0.399905	+	1.03500i
$369$	−1.69385			−0.0881784
$370$	32.6195	+	9.57796i	1.69581	+	0.497935i
$371$	1.61607	−	1.86504i	0.0839019	−	0.0968280i
$372$	0.961489	+	0.617912i	0.0498509	+	0.0320372i
$373$	1.59955	−	11.1251i	0.0828217	−	0.576038i	−0.905580	−	0.424176i	$-0.860564\pi$
$373$	1.59955	−	11.1251i	0.0828217	−	0.576038i	0.988402	−	0.151862i	$-0.0485270\pi$
$374$	−0.259895	+	0.167024i	−0.0134389	+	0.00863663i
$375$	−5.04105	−	11.0383i	−0.260318	−	0.570018i
$376$	−10.8023	−	12.4665i	−0.557085	−	0.642910i
$377$	6.94447	+	48.2999i	0.357658	+	2.48757i
$378$	0.623196	−	1.36461i	0.0320537	−	0.0701879i
$379$	4.47493	−	1.31396i	0.229862	−	0.0674934i	−0.164773	−	0.986331i	$-0.552689\pi$
$379$	4.47493	−	1.31396i	0.229862	−	0.0674934i	0.394635	+	0.918838i	$0.370871\pi$
$380$	−0.142657	+	0.0418878i	−0.00731814	+	0.00214880i
$381$	8.50269	−	18.6183i	0.435606	−	0.953844i
$382$	3.40481	+	23.6810i	0.174205	+	1.21163i
$383$	24.7366	+	28.5475i	1.26398	+	1.45871i	0.829975	+	0.557800i	$0.188354\pi$
$383$	24.7366	+	28.5475i	1.26398	+	1.45871i	0.434005	+	0.900911i	$0.357100\pi$
$384$	−5.38519	−	11.7919i	−0.274812	−	0.601754i
$385$	0.916310	−	0.588877i	0.0466995	−	0.0300119i
$386$	−0.877819	+	6.10537i	−0.0446798	+	0.310755i
$387$	5.78765	+	3.71949i	0.294203	+	0.189072i
$388$	1.15060	−	1.32786i	0.0584129	−	0.0674120i
$389$	−5.97215	−	1.75358i	−0.302800	−	0.0889102i	0.126803	−	0.991928i	$-0.459528\pi$
$389$	−5.97215	−	1.75358i	−0.302800	−	0.0889102i	−0.429603	+	0.903018i	$0.641347\pi$
$390$	17.8845			0.905619
$391$	1.50777	−	0.846376i	0.0762511	−	0.0428031i
$392$	−2.62451			−0.132558
$393$	5.67872	+	1.66742i	0.286453	+	0.0841103i
$394$	−8.13772	+	9.39143i	−0.409972	+	0.473133i
$395$	−17.1905	−	11.0477i	−0.864949	−	0.555869i
$396$	−0.0203651	+	0.141643i	−0.00102339	+	0.00711781i
$397$	4.19962	−	2.69893i	0.210773	−	0.135456i	−0.430995	−	0.902354i	$-0.641837\pi$
$397$	4.19962	−	2.69893i	0.210773	−	0.135456i	0.641768	+	0.766899i	$0.278201\pi$
$398$	−10.9056	−	23.8800i	−0.546649	−	1.19699i
$399$	0.203799	+	0.235196i	0.0102027	+	0.0117746i
$400$	−0.861275	−	5.99030i	−0.0430638	−	0.299515i
$401$	−0.984923	+	2.15668i	−0.0491847	+	0.107700i	−0.932629	−	0.360837i	$-0.882491\pi$
$401$	−0.984923	+	2.15668i	−0.0491847	+	0.107700i	0.883444	+	0.468536i	$0.155218\pi$
$402$	10.7966	−	3.17016i	0.538485	−	0.158113i
$403$	27.3651	−	8.03512i	1.36315	−	0.400258i
$404$	0.339241	−	0.742834i	0.0168779	−	0.0369574i
$405$	0.271386	+	1.88753i	0.0134853	+	0.0937923i
$406$	−7.66801	−	8.84936i	−0.380557	−	0.439186i
$407$	2.81978	+	6.17446i	0.139771	+	0.306057i
$408$	−0.796025	+	0.511574i	−0.0394091	+	0.0253267i
$409$	−3.56537	+	24.7977i	−0.176296	+	1.22617i	0.688946	+	0.724813i	$0.258074\pi$
$409$	−3.56537	+	24.7977i	−0.176296	+	1.22617i	−0.865242	+	0.501354i	$0.832835\pi$
$410$	4.07646	+	2.61978i	0.201322	+	0.129382i
$411$	9.47902	−	10.9394i	0.467566	−	0.539600i
$412$	3.23099	+	0.948703i	0.159179	+	0.0467393i
$413$	−4.94996			−0.243571
$414$	1.44688	−	7.04760i	0.0711104	−	0.346371i
$415$	4.95105			0.243038
$416$	8.45301	+	2.48203i	0.414443	+	0.121691i
$417$	9.39529	−	10.8427i	0.460089	−	0.530971i
$418$	−0.224336	−	0.144172i	−0.0109727	−	0.00705169i
$419$	0.223441	−	1.55406i	0.0109158	−	0.0759210i	−0.983635	−	0.180171i	$-0.942335\pi$
$419$	0.223441	−	1.55406i	0.0109158	−	0.0759210i	0.994551	+	0.104250i	$0.0332441\pi$
$420$	−0.401906	+	0.258289i	−0.0196110	+	0.0126032i
$421$	−13.1867	−	28.8749i	−0.642681	−	1.40728i	−0.897816	−	0.440371i	$-0.854847\pi$
$421$	−13.1867	−	28.8749i	−0.642681	−	1.40728i	0.255135	−	0.966906i	$-0.417880\pi$
$422$	20.0114	+	23.0944i	0.974140	+	1.12422i
$423$	0.894474	+	6.22120i	0.0434908	+	0.302485i
$424$	−2.69055	+	5.89148i	−0.130665	+	0.286116i
$425$	−0.471703	+	0.138504i	−0.0228810	+	0.00671845i
$426$	−4.64396	+	1.36359i	−0.225000	+	0.0660661i
$427$	−2.91552	+	6.38410i	−0.141092	+	0.308948i
$428$	0.319852	+	2.22462i	0.0154606	+	0.107531i
$429$	2.33843	+	2.69869i	0.112900	+	0.130294i
$430$	−8.17594	−	17.9028i	−0.394279	−	0.863350i
$431$	12.2905	−	7.89861i	0.592012	−	0.380463i	−0.210062	−	0.977688i	$-0.567367\pi$
$431$	12.2905	−	7.89861i	0.592012	−	0.380463i	0.802073	+	0.597225i	$0.203730\pi$
$432$	−0.631635	+	4.39312i	−0.0303896	+	0.211364i
$433$	−5.73237	−	3.68397i	−0.275480	−	0.177040i	0.395605	−	0.918421i	$-0.370535\pi$
$433$	−5.73237	−	3.68397i	−0.275480	−	0.177040i	−0.671085	+	0.741381i	$0.734171\pi$
$434$	−4.48177	+	5.17223i	−0.215132	+	0.248275i
$435$	14.2814	+	4.19340i	0.684741	+	0.201058i
$436$	−0.230073			−0.0110185
$437$	1.20521	+	0.880372i	0.0576529	+	0.0421139i
$438$	−18.2895			−0.873908
$439$	7.67196	+	2.25269i	0.366163	+	0.107515i	0.459638	−	0.888107i	$-0.347979\pi$
$439$	7.67196	+	2.25269i	0.366163	+	0.107515i	−0.0934750	+	0.995622i	$0.529798\pi$
$440$	−1.87203	+	2.16044i	−0.0892456	+	0.102995i
$441$	0.841254	+	0.540641i	0.0400597	+	0.0257448i
$442$	0.481217	−	3.34694i	0.0228892	−	0.159198i
$443$	−28.7152	+	18.4541i	−1.36430	+	0.876781i	−0.998545	−	0.0539304i	$-0.982825\pi$
$443$	−28.7152	+	18.4541i	−1.36430	+	0.876781i	−0.365754	+	0.930712i	$0.619189\pi$
$444$	−1.23679	−	2.70820i	−0.0586957	−	0.128526i
$445$	−6.33738	−	7.31373i	−0.300421	−	0.346704i
$446$	−1.20092	−	8.35256i	−0.0568651	−	0.395505i
$447$	−3.91353	+	8.56943i	−0.185104	+	0.405320i
$448$	6.48861	−	1.90523i	0.306558	−	0.0900136i
$449$	−11.0937	+	3.25742i	−0.523546	+	0.153727i	−0.532818	−	0.846230i	$-0.678867\pi$
$449$	−11.0937	+	3.25742i	−0.523546	+	0.153727i	0.00927182	+	0.999957i	$0.497049\pi$
$450$	−0.849768	+	1.86073i	−0.0400584	+	0.0877157i
$451$	0.137690	+	0.957657i	0.00648358	+	0.0450943i
$452$	3.19398	+	3.68605i	0.150232	+	0.173377i
$453$	1.42023	+	3.10987i	0.0667282	+	0.146114i
$454$	11.6465	−	7.48475i	0.546597	−	0.351277i
$455$	−1.69662	+	11.8003i	−0.0795390	+	0.553206i
$456$	−0.687114	−	0.441581i	−0.0321771	−	0.0206789i
$457$	5.81107	−	6.70633i	0.271830	−	0.313709i	−0.603378	−	0.797455i	$-0.706179\pi$
$457$	5.81107	−	6.70633i	0.271830	−	0.313709i	0.875208	+	0.483747i	$0.160724\pi$
$458$	8.56268	+	2.51423i	0.400108	+	0.117482i
$459$	0.360538			0.0168285
$460$	−1.60103	+	1.63898i	−0.0746485	+	0.0764179i
$461$	36.2778			1.68962			0.844812	−	0.535063i	$-0.179712\pi$
$461$	36.2778			1.68962			0.844812	+	0.535063i	$0.179712\pi$
$462$	−0.822170	−	0.241411i	−0.0382508	−	0.0112315i
$463$	2.91636	−	3.36566i	0.135535	−	0.156415i	−0.683925	−	0.729553i	$-0.739728\pi$
$463$	2.91636	−	3.36566i	0.135535	−	0.156415i	0.819459	+	0.573137i	$0.194274\pi$
$464$	29.1430	+	18.7291i	1.35293	+	0.869476i
$465$	1.23807	−	8.61098i	0.0574142	−	0.399325i
$466$	−34.5918	+	22.2308i	−1.60243	+	1.02982i
$467$	1.06693	+	2.33626i	0.0493718	+	0.108109i	0.932710	−	0.360626i	$-0.117437\pi$
$467$	1.06693	+	2.33626i	0.0493718	+	0.108109i	−0.883339	+	0.468735i	$0.844710\pi$
$468$	−1.02567	−	1.18368i	−0.0474114	−	0.0547157i
$469$	1.06746	+	7.42436i	0.0492908	+	0.342825i
$470$	7.46930	−	16.3555i	0.344533	−	0.754422i
$471$	−9.55569	+	2.80581i	−0.440303	+	0.129285i
$472$	12.4650	−	3.66005i	0.573748	−	0.168468i
$473$	1.63243	−	3.57452i	0.0750592	−	0.164357i
$474$	2.28779	+	15.9120i	0.105082	+	0.730860i
$475$	−0.277893	−	0.320706i	−0.0127506	−	0.0147150i
$476$	0.0375226	+	0.0821631i	0.00171985	+	0.00376594i
$477$	2.07605	−	1.33419i	0.0950556	−	0.0610885i
$478$	4.61862	−	32.1232i	0.211251	−	1.46928i
$479$	−21.4501	−	13.7852i	−0.980081	−	0.629860i	−0.0505960	−	0.998719i	$-0.516112\pi$
$479$	−21.4501	−	13.7852i	−0.980081	−	0.629860i	−0.929485	+	0.368859i	$0.879748\pi$
$480$	1.75978	−	2.03090i	0.0803227	−	0.0926973i
$481$	−71.2845	−	20.9310i	−3.25029	−	0.954372i
$482$	−23.6945			−1.07925
$483$	4.51277	+	1.62323i	0.205338	+	0.0738596i
$484$	−2.67409			−0.121550
$485$	−12.8320	−	3.76782i	−0.582672	−	0.171088i
$486$	0.982407	−	1.13376i	0.0445629	−	0.0514283i
$487$	8.18765	+	5.26188i	0.371018	+	0.238439i	0.712841	−	0.701326i	$-0.247408\pi$
$487$	8.18765	+	5.26188i	0.371018	+	0.238439i	−0.341823	+	0.939764i	$0.611044\pi$
$488$	2.62140	−	18.2322i	0.118665	−	0.825335i
$489$	9.29730	−	5.97501i	0.420438	−	0.270199i
$490$	−1.18840	−	2.60223i	−0.0536864	−	0.117557i
$491$	22.1351	+	25.5453i	0.998944	+	1.15284i	0.988242	+	0.152901i	$0.0488614\pi$
$491$	22.1351	+	25.5453i	0.998944	+	1.15284i	0.0107029	+	0.999943i	$0.496593\pi$
$492$	−0.0603928	−	0.420041i	−0.00272272	−	0.0189369i
$493$	1.16903	−	2.55981i	0.0526504	−	0.115288i
$494$	2.80049	−	0.822299i	0.126000	−	0.0369970i
$495$	1.04510	−	0.306869i	0.0469737	−	0.0137927i
$496$	8.41116	−	18.4179i	0.377672	−	0.826987i
$497$	−0.459150	−	3.19345i	−0.0205957	−	0.143246i
$498$	−2.55065	−	2.94361i	−0.114297	−	0.131906i
$499$	12.9536	+	28.3644i	0.579883	+	1.26977i	0.941366	+	0.337388i	$0.109543\pi$
$499$	12.9536	+	28.3644i	0.579883	+	1.26977i	−0.361483	+	0.932379i	$0.617729\pi$
$500$	2.55756	−	1.64364i	0.114377	−	0.0735059i
$501$	−1.61345	+	11.2218i	−0.0720835	+	0.501352i
$502$	28.2599	+	18.1615i	1.26130	+	0.810589i
$503$	−5.67154	+	6.54530i	−0.252881	+	0.291841i	−0.867969	−	0.496618i	$-0.834575\pi$
$503$	−5.67154	+	6.54530i	−0.252881	+	0.291841i	0.615088	+	0.788459i	$0.289120\pi$
$504$	−2.51820	−	0.739411i	−0.112170	−	0.0329360i
$505$	−6.21590			−0.276604
$506$	−4.10213	−	0.245139i	−0.182362	−	0.0108978i
$507$	−26.0836			−1.15841
$508$	4.92012	+	1.44468i	0.218295	+	0.0640972i
$509$	3.86665	−	4.46235i	0.171386	−	0.197790i	−0.663558	−	0.748125i	$-0.730954\pi$
$509$	3.86665	−	4.46235i	0.171386	−	0.197790i	0.834944	+	0.550335i	$0.185500\pi$
$510$	−0.867678	−	0.557622i	−0.0384214	−	0.0246919i
$511$	1.73504	−	12.0675i	0.0767538	−	0.533834i
$512$	−14.3369	+	9.21376i	−0.633607	+	0.407195i
$513$	0.129281	+	0.283086i	0.00570790	+	0.0124986i
$514$	13.7768	+	15.8993i	0.607670	+	0.701288i
$515$	−3.64772	−	25.3705i	−0.160738	−	1.11796i
$516$	−0.716006	+	1.56784i	−0.0315204	+	0.0690201i
$517$	3.44458	−	1.01142i	0.151493	−	0.0444822i
$518$	17.1057	−	5.02268i	0.751580	−	0.220684i
$519$	5.45637	−	11.9478i	0.239508	−	0.524449i
$520$	−4.45281	−	30.9700i	−0.195269	−	1.35812i
$521$	−21.5548	−	24.8756i	−0.944333	−	1.08982i	−0.995838	−	0.0911453i	$-0.970947\pi$
$521$	−21.5548	−	24.8756i	−0.944333	−	1.08982i	0.0515049	−	0.998673i	$-0.483598\pi$
$522$	−4.86425	−	10.6512i	−0.212903	−	0.466192i
$523$	8.63221	−	5.54758i	0.377460	−	0.242579i	−0.338130	−	0.941099i	$-0.609794\pi$
$523$	8.63221	−	5.54758i	0.377460	−	0.242579i	0.715590	+	0.698521i	$0.246158\pi$
$524$	−0.211017	+	1.46766i	−0.00921834	+	0.0641149i
$525$	−1.14710	−	0.737199i	−0.0500637	−	0.0321740i
$526$	−25.5219	+	29.4538i	−1.11281	+	1.28425i
$527$	−1.57816	−	0.463389i	−0.0687457	−	0.0201856i
$528$	2.53509			0.110326
$529$	22.8363	+	2.73913i	0.992883	+	0.119093i
$530$	−7.05977			−0.306657
$531$	−4.74945	−	1.39456i	−0.206108	−	0.0605189i
$532$	−0.0510577	+	0.0589238i	−0.00221363	+	0.00255467i
$533$	−8.90840	−	5.72508i	−0.385866	−	0.247981i
$534$	−1.08347	+	7.53568i	−0.0468862	+	0.326101i
$535$	14.3914	−	9.24881i	0.622196	−	0.399861i
$536$	−8.17774	−	17.9068i	−0.353225	−	0.773454i
$537$	−8.85824	−	10.2230i	−0.382261	−	0.441153i
$538$	5.21005	+	36.2367i	0.224621	+	1.56228i
$539$	0.237279	−	0.519569i	0.0102203	−	0.0223794i
$540$	−0.458395	+	0.134597i	−0.0197262	+	0.00579212i
$541$	8.20182	−	2.40827i	0.352624	−	0.103540i	−0.100623	−	0.994925i	$-0.532084\pi$
$541$	8.20182	−	2.40827i	0.352624	−	0.103540i	0.453247	+	0.891385i	$0.350266\pi$
$542$	8.46582	−	18.5376i	0.363638	−	0.796257i
$543$	2.85403	+	19.8502i	0.122478	+	0.851854i
$544$	−0.332715	−	0.383973i	−0.0142650	−	0.0164627i
$545$	0.727488	+	1.59298i	0.0311622	+	0.0682356i
$546$	7.88981	−	5.07048i	0.337653	−	0.216996i
$547$	5.85155	−	40.6984i	0.250194	−	1.74014i	−0.346841	−	0.937924i	$-0.612746\pi$
$547$	5.85155	−	40.6984i	0.250194	−	1.74014i	0.597035	−	0.802215i	$-0.296345\pi$
$548$	3.05071	+	1.96057i	0.130320	+	0.0837516i
$549$	−4.59603	+	5.30410i	−0.196154	+	0.226374i
$550$	1.12108	+	0.329179i	0.0478031	+	0.0140363i
$551$	2.42909			0.103483
$552$	−12.5643	−	0.750830i	−0.534773	−	0.0319575i
$553$	−10.7158			−0.455682
$554$	0.0739288	+	0.0217075i	0.00314093	+	0.000922262i
$555$	−14.8403	+	17.1266i	−0.629936	+	0.726984i
$556$	3.02376	+	1.94325i	0.128236	+	0.0824123i
$557$	5.66299	−	39.3869i	0.239948	−	1.66888i	−0.412434	−	0.910988i	$-0.635321\pi$
$557$	5.66299	−	39.3869i	0.239948	−	1.66888i	0.652382	−	0.757890i	$-0.273770\pi$
$558$	−5.75741	+	3.70006i	−0.243731	+	0.156636i
$559$	17.8671	+	39.1235i	0.755699	+	1.65475i
$560$	5.54247	+	6.39635i	0.234212	+	0.270295i
$561$	−0.0293075	−	0.203838i	−0.00123736	−	0.00860605i
$562$	−16.3432	+	35.7866i	−0.689396	+	1.50957i
$563$	0.465184	−	0.136590i	0.0196052	−	0.00575659i	−0.271915	−	0.962321i	$-0.587657\pi$
$563$	0.465184	−	0.136590i	0.0196052	−	0.00575659i	0.291520	+	0.956565i	$0.405839\pi$
$564$	−1.51084	+	0.443623i	−0.0636179	+	0.0186799i
$565$	15.4221	−	33.7697i	0.648813	−	1.42070i
$566$	−3.91271	−	27.2135i	−0.164463	−	1.14387i
$567$	0.654861	+	0.755750i	0.0275016	+	0.0317385i
$568$	3.51751	+	7.70227i	0.147591	+	0.323180i
$569$	−14.1764	+	9.11061i	−0.594305	+	0.381936i	−0.802942	−	0.596057i	$-0.796733\pi$
$569$	−14.1764	+	9.11061i	−0.594305	+	0.381936i	0.208638	+	0.977993i	$0.433097\pi$
$570$	0.126702	−	0.881232i	0.00530696	−	0.0369107i
$571$	1.94773	+	1.25173i	0.0815101	+	0.0523834i	0.580761	−	0.814074i	$-0.302755\pi$
$571$	1.94773	+	1.25173i	0.0815101	+	0.0523834i	−0.499251	+	0.866457i	$0.666391\pi$
$572$	−0.585846	+	0.676103i	−0.0244955	+	0.0282693i
$573$	−15.3018	−	4.49301i	−0.639242	−	0.187698i
$574$	2.54108			0.106063
$575$	−6.15346	−	2.21338i	−0.256617	−	0.0923043i
$576$	6.76254			0.281773
$577$	24.8766	+	7.30443i	1.03563	+	0.304088i	0.754997	−	0.655728i	$-0.227638\pi$
$577$	24.8766	+	7.30443i	1.03563	+	0.304088i	0.280630	+	0.959816i	$0.409457\pi$
$578$	16.5732	−	19.1265i	0.689355	−	0.795558i
$579$	−3.45891	−	2.22291i	−0.143747	−	0.0923809i
$580$	−0.530688	+	3.69102i	−0.0220356	+	0.153261i
$581$	2.18417	−	1.40368i	0.0906147	−	0.0582345i
$582$	4.37059	+	9.57026i	0.181167	+	0.396700i
$583$	−0.923074	−	1.06528i	−0.0382298	−	0.0441196i
$584$	4.55365	+	31.6713i	0.188431	+	1.31057i
$585$	−4.95242	+	10.8443i	−0.204757	+	0.448356i
$586$	3.50877	−	1.03027i	0.144946	−	0.0425599i
$587$	−40.3937	+	11.8607i	−1.66723	+	0.489542i	−0.973114	−	0.230323i	$-0.926022\pi$
$587$	−40.3937	+	11.8607i	−1.66723	+	0.489542i	−0.694114	+	0.719865i	$0.744204\pi$
$588$	−0.104074	+	0.227890i	−0.00429194	+	0.00939803i
$589$	−0.202051	−	1.40530i	−0.00832536	−	0.0579042i
$590$	9.27322	+	10.7019i	0.381772	+	0.440589i
$591$	−3.44107	−	7.53489i	−0.141547	−	0.309944i
$592$	−44.3710	+	28.5155i	−1.82364	+	1.17198i
$593$	−3.93771	+	27.3874i	−0.161702	+	1.12466i	0.733722	+	0.679450i	$0.237782\pi$
$593$	−3.93771	+	27.3874i	−0.161702	+	1.12466i	−0.895424	+	0.445214i	$0.853128\pi$
$594$	−0.720853	−	0.463264i	−0.0295770	−	0.0190080i
$595$	0.450234	−	0.519597i	0.0184578	−	0.0213014i
$596$	−2.26458	−	0.664941i	−0.0927609	−	0.0272371i
$597$	17.4995			0.716206
$598$	31.4299	−	32.1748i	1.28526	−	1.31573i
$599$	−5.65886			−0.231215			−0.115607	−	0.993295i	$-0.536881\pi$
$599$	−5.65886			−0.231215			−0.115607	+	0.993295i	$0.536881\pi$
$600$	3.43373	+	1.00823i	0.140182	+	0.0411610i
$601$	−27.4820	+	31.7159i	−1.12101	+	1.29372i	−0.169699	+	0.985496i	$0.554280\pi$
$601$	−27.4820	+	31.7159i	−1.12101	+	1.29372i	−0.951314	+	0.308223i	$0.900266\pi$
$602$	−8.68249	−	5.57990i	−0.353872	−	0.227420i
$603$	−1.06746	+	7.42436i	−0.0434704	+	0.302343i
$604$	−0.720548	+	0.463068i	−0.0293187	+	0.0188420i
$605$	8.45546	+	18.5149i	0.343763	+	0.752736i
$606$	3.20227	+	3.69561i	0.130083	+	0.150124i
$607$	5.00148	+	34.7861i	0.203004	+	1.41192i	0.795307	+	0.606207i	$0.207310\pi$
$607$	5.00148	+	34.7861i	0.203004	+	1.41192i	−0.592303	+	0.805715i	$0.701781\pi$
$608$	0.182183	−	0.398924i	0.00738848	−	0.0161785i
$609$	7.48916	−	2.19902i	0.303476	−	0.0891087i
$610$	19.2644	−	5.65655i	0.779994	−	0.229027i
$611$	−16.3229	+	35.7421i	−0.660353	+	1.44597i
$612$	0.0128547	+	0.0894062i	0.000519619	+	0.00361403i
$613$	9.72680	+	11.2253i	0.392862	+	0.453387i	0.917380	−	0.398013i	$-0.130300\pi$
$613$	9.72680	+	11.2253i	0.392862	+	0.453387i	−0.524518	+	0.851399i	$0.675755\pi$
$614$	−12.5887	−	27.5654i	−0.508039	−	1.11245i
$615$	−2.71732	+	1.74631i	−0.109573	+	0.0704182i
$616$	−0.213342	+	1.48383i	−0.00859580	+	0.0597851i
$617$	12.2208	+	7.85383i	0.491991	+	0.316183i	0.763005	−	0.646392i	$-0.223723\pi$
$617$	12.2208	+	7.85383i	0.491991	+	0.316183i	−0.271015	+	0.962575i	$0.587359\pi$
$618$	−13.2046	+	15.2389i	−0.531167	+	0.612999i
$619$	−33.9203	−	9.95990i	−1.36337	−	0.400322i	−0.483421	−	0.875388i	$-0.660606\pi$
$619$	−33.9203	−	9.95990i	−1.36337	−	0.400322i	−0.879950	+	0.475066i	$0.842424\pi$
$620$	2.17949			0.0875306
$621$	3.87266	+	2.82887i	0.155404	+	0.113519i
$622$	−7.90388			−0.316917
$623$	−4.86928	−	1.42975i	−0.195084	−	0.0572817i
$624$	−18.1703	+	20.9697i	−0.727395	+	0.839458i
$625$	−13.7317	−	8.82481i	−0.549267	−	0.352992i
$626$	−0.0495675	+	0.344750i	−0.00198112	+	0.0137790i
$627$	0.149540	−	0.0961035i	0.00597205	−	0.00383800i
$628$	−1.03648	−	2.26958i	−0.0413602	−	0.0905662i
$629$	2.80579	+	3.23806i	0.111874	+	0.129110i
$630$	−0.407128	−	2.83163i	−0.0162204	−	0.112815i
$631$	−10.4265	+	22.8309i	−0.415072	+	0.908882i	0.580445	+	0.814300i	$0.302879\pi$
$631$	−10.4265	+	22.8309i	−0.415072	+	0.908882i	−0.995517	+	0.0945821i	$0.969849\pi$
$632$	26.9845	−	7.92338i	1.07339	−	0.315175i
$633$	−19.5447	+	5.73883i	−0.776831	+	0.228098i
$634$	5.87721	−	12.8693i	0.233414	−	0.511105i
$635$	−5.55472	−	38.6339i	−0.220432	−	1.53314i
$636$	0.404873	+	0.467248i	0.0160543	+	0.0185276i
$637$	2.59705	+	5.68674i	0.102899	+	0.225317i
$638$	−5.62650	+	3.61593i	−0.222755	+	0.143156i
$639$	0.459150	−	3.19345i	0.0181637	−	0.126331i
$640$	−20.7962	−	13.3649i	−0.822042	−	0.528294i
$641$	−30.0764	+	34.7100i	−1.18795	+	1.37096i	−0.275740	+	0.961232i	$0.588923\pi$
$641$	−30.0764	+	34.7100i	−1.18795	+	1.37096i	−0.912206	+	0.409731i	$0.865623\pi$
$642$	−12.9129	−	3.79157i	−0.509631	−	0.149641i
$643$	−32.5536			−1.28379			−0.641894	−	0.766793i	$-0.721851\pi$
$643$	−32.5536			−1.28379			−0.641894	+	0.766793i	$0.721851\pi$
$644$	−0.241630	+	1.17695i	−0.00952155	+	0.0463784i
$645$	13.1194			0.516575
$646$	−0.161506	−	0.0474224i	−0.00635436	−	0.00186581i
$647$	23.3007	−	26.8905i	0.916047	−	1.05717i	−0.0821185	−	0.996623i	$-0.526169\pi$
$647$	23.3007	−	26.8905i	0.916047	−	1.05717i	0.998165	−	0.0605515i	$-0.0192859\pi$
$648$	−2.20788	−	1.41892i	−0.0867338	−	0.0557404i
$649$	−0.402373	+	2.79857i	−0.0157945	+	0.109853i
$650$	−10.7583	+	6.91392i	−0.421974	+	0.271186i
$651$	−1.89513	−	4.14977i	−0.0742762	−	0.162642i
$652$	1.81317	+	2.09251i	0.0710092	+	0.0819490i
$653$	−1.04739	−	7.28477i	−0.0409876	−	0.285075i	−0.999999	−	0.00170598i	$-0.999457\pi$
$653$	−1.04739	−	7.28477i	−0.0409876	−	0.285075i	0.959011	−	0.283369i	$-0.0914521\pi$
$654$	0.572309	−	1.25318i	0.0223790	−	0.0490033i
$655$	10.8290	−	3.17968i	0.423124	−	0.124240i
$656$	−7.21329	+	2.11801i	−0.281632	+	0.0826945i
$657$	5.06457	−	11.0899i	0.197588	−	0.432656i
$658$	−1.34187	−	9.33290i	−0.0523115	−	0.363834i
$659$	18.2060	+	21.0108i	0.709204	+	0.818465i	0.989965	−	0.141313i	$-0.0451324\pi$
$659$	18.2060	+	21.0108i	0.709204	+	0.818465i	−0.280761	+	0.959778i	$0.590587\pi$
$660$	0.113359	+	0.248222i	0.00441251	+	0.00966204i
$661$	38.4881	−	24.7348i	1.49701	−	0.962071i	0.501732	−	0.865023i	$-0.332696\pi$
$661$	38.4881	−	24.7348i	1.49701	−	0.962071i	0.995280	−	0.0970481i	$-0.0309401\pi$
$662$	2.27029	−	15.7902i	0.0882373	−	0.613704i
$663$	1.89616	+	1.21859i	0.0736408	+	0.0473261i
$664$	−4.46229	+	5.14975i	−0.173170	+	0.199849i
$665$	0.569420	+	0.167197i	0.0220812	+	0.00648361i
$666$	17.8278			0.690814
$667$	32.6419	−	18.3233i	1.26390	−	0.709481i
$668$	−2.84030			−0.109895
$669$	5.39712	+	1.58474i	0.208665	+	0.0612695i
$670$	14.0518	−	16.2166i	0.542868	−	0.626503i
$671$	3.37240	+	2.16731i	0.130190	+	0.0836680i
$672$	0.200550	−	1.39485i	0.00773638	−	0.0538077i
$673$	15.5630	−	10.0018i	0.599911	−	0.385540i	−0.205150	−	0.978730i	$-0.565768\pi$
$673$	15.5630	−	10.0018i	0.599911	−	0.385540i	0.805062	+	0.593191i	$0.202132\pi$
$674$	−8.99694	−	19.7006i	−0.346549	−	0.758837i
$675$	−0.892945	−	1.03051i	−0.0343695	−	0.0396645i
$676$	−0.929989	−	6.46822i	−0.0357688	−	0.248778i
$677$	4.99385	−	10.9350i	0.191929	−	0.420267i	−0.789063	−	0.614312i	$-0.789434\pi$
$677$	4.99385	−	10.9350i	0.191929	−	0.420267i	0.980993	+	0.194045i	$0.0621609\pi$
$678$	−28.0226	+	8.22817i	−1.07620	+	0.316001i
$679$	−6.72911	+	1.97584i	−0.258239	+	0.0758259i
$680$	−0.749584	+	1.64136i	−0.0287452	+	0.0629433i
$681$	1.31334	+	9.13446i	0.0503272	+	0.350033i
$682$	2.55992	+	2.95431i	0.0980245	+	0.113126i
$683$	11.8535	+	25.9556i	0.453563	+	0.993164i	0.988908	+	0.148530i	$0.0474543\pi$
$683$	11.8535	+	25.9556i	0.453563	+	0.993164i	−0.535345	+	0.844633i	$0.679818\pi$
$684$	−0.0655903	+	0.0421523i	−0.00250791	+	0.00161173i
$685$	3.92828	−	27.3218i	0.150092	−	1.04391i
$686$	−1.26203	−	0.811057i	−0.0481845	−	0.0309663i
$687$	−3.89560	+	4.49576i	−0.148627	+	0.171524i
$688$	29.2977	+	8.60257i	1.11696	+	0.327970i
$689$	15.4279			0.587757
$690$	−4.94476	−	12.7976i	−0.188244	−	0.487197i
$691$	−24.8266			−0.944450			−0.472225	−	0.881478i	$-0.656549\pi$
$691$	−24.8266			−0.944450			−0.472225	+	0.881478i	$0.656549\pi$
$692$	3.15735	+	0.927082i	0.120025	+	0.0352424i
$693$	0.374047	−	0.431674i	0.0142089	−	0.0163979i
$694$	6.58534	+	4.23214i	0.249976	+	0.160650i
$695$	3.89358	−	27.0804i	0.147692	−	1.02722i
$696$	−17.2333	+	11.0751i	−0.653225	+	0.419802i
$697$	0.253693	+	0.555510i	0.00960931	+	0.0210415i
$698$	−22.2525	−	25.6808i	−0.842270	−	0.972031i
$699$	−3.90080	−	27.1306i	−0.147542	−	1.02618i
$700$	0.141912	−	0.310743i	0.00536375	−	0.0117450i
$701$	−5.42103	+	1.59176i	−0.204749	+	0.0601198i	−0.382499	−	0.923956i	$-0.624936\pi$
$701$	−5.42103	+	1.59176i	−0.204749	+	0.0601198i	0.177750	+	0.984076i	$0.443118\pi$
$702$	8.99874	−	2.64227i	0.339636	−	0.0997260i
$703$	−1.53635	+	3.36414i	−0.0579446	+	0.126881i
$704$	−0.549715	−	3.82335i	−0.0207182	−	0.144098i
$705$	7.84882	+	9.05802i	0.295604	+	0.341145i
$706$	−11.7261	−	25.6767i	−0.441319	−	0.966354i
$707$	−2.74216	+	1.76228i	−0.103130	+	0.0662774i
$708$	0.176486	−	1.22749i	0.00663276	−	0.0461319i
$709$	−16.5807	−	10.6557i	−0.622699	−	0.400185i	0.190901	−	0.981609i	$-0.438859\pi$
$709$	−16.5807	−	10.6557i	−0.622699	−	0.400185i	−0.813600	+	0.581425i	$0.802495\pi$
$710$	−6.04412	+	6.97529i	−0.226832	+	0.261778i
$711$	−10.2817	−	3.01899i	−0.385595	−	0.113221i
$712$	13.3190			0.499151
$713$	−13.3156	−	17.3601i	−0.498675	−	0.650139i
$714$	−0.540871			−0.0202416
$715$	6.53363	+	1.91845i	0.244344	+	0.0717459i
$716$	2.21925	−	2.56116i	0.0829374	−	0.0957149i
$717$	18.1990	+	11.6958i	0.679653	+	0.436787i
$718$	−0.242246	+	1.68486i	−0.00904055	+	0.0628784i
$719$	37.8011	−	24.2933i	1.40974	−	0.905988i	0.409763	−	0.912192i	$-0.365611\pi$
$719$	37.8011	−	24.2933i	1.40974	−	0.905988i	0.999981	+	0.00620426i	$0.00197489\pi$
$720$	3.51590	+	7.69874i	0.131030	+	0.286915i
$721$	−8.80203	−	10.1581i	−0.327805	−	0.378307i
$722$	4.03577	+	28.0694i	0.150196	+	1.04464i
$723$	6.56125	−	14.3671i	0.244016	−	0.534320i
$724$	−4.82070	+	1.41548i	−0.179160	+	0.0526061i
$725$	−10.2120	+	2.99850i	−0.379263	+	0.111362i
$726$	6.65184	−	14.5655i	0.246873	−	0.540576i
$727$	4.21147	+	29.2914i	0.156195	+	1.08636i	0.905565	+	0.424207i	$0.139447\pi$
$727$	4.21147	+	29.2914i	0.156195	+	1.08636i	−0.749371	+	0.662151i	$0.769644\pi$
$728$	−10.7447	−	12.4001i	−0.398226	−	0.459577i
$729$	0.415415	+	0.909632i	0.0153857	+	0.0336901i
$730$	−29.3405	+	18.8560i	−1.08594	+	0.697892i
$731$	0.353001	−	2.45518i	0.0130562	−	0.0908080i
$732$	−1.47918	−	0.950611i	−0.0546720	−	0.0351356i
$733$	−7.78048	+	8.97915i	−0.287379	+	0.331653i	−0.881022	−	0.473076i	$-0.843144\pi$
$733$	−7.78048	+	8.97915i	−0.287379	+	0.331653i	0.593643	+	0.804728i	$0.297689\pi$
$734$	18.3798	+	5.39679i	0.678410	+	0.199199i
$735$	1.90694			0.0703387
$736$	−0.561045	−	6.73495i	−0.0206804	−	0.248253i
$737$	4.28430			0.157814
$738$	2.43815	+	0.715904i	0.0897494	+	0.0263528i
$739$	19.1781	−	22.1327i	0.705478	−	0.814165i	−0.284004	−	0.958823i	$-0.591663\pi$
$739$	19.1781	−	22.1327i	0.705478	−	0.814165i	0.989482	+	0.144658i	$0.0462083\pi$
$740$	−4.77618	−	3.06946i	−0.175576	−	0.112836i
$741$	−0.276886	+	1.92578i	−0.0101716	+	0.0707454i
$742$	−3.11444	+	2.00153i	−0.114335	+	0.0734783i
$743$	4.39594	+	9.62577i	0.161271	+	0.353135i	0.972967	−	0.230946i	$-0.0741822\pi$
$743$	4.39594	+	9.62577i	0.161271	+	0.353135i	−0.811695	+	0.584081i	$0.801455\pi$
$744$	7.84071	+	9.04867i	0.287455	+	0.331740i
$745$	2.55667	+	17.7820i	0.0936691	+	0.651483i
$746$	−7.00444	+	15.3376i	−0.256451	+	0.561549i
$747$	2.49116	−	0.731470i	0.0911467	−	0.0267631i
$748$	0.0495029	−	0.0145353i	0.00181000	−	0.000531465i
$749$	3.72667	−	8.16028i	0.136170	−	0.298170i
$750$	2.59078	+	18.0193i	0.0946020	+	0.657971i
$751$	14.9563	+	17.2605i	0.545764	+	0.629845i	0.959891	−	0.280374i	$-0.0904585\pi$
$751$	14.9563	+	17.2605i	0.545764	+	0.629845i	−0.414127	+	0.910219i	$0.635913\pi$
$752$	11.5882	+	25.3746i	0.422578	+	0.925316i
$753$	−18.8377	+	12.1063i	−0.686484	+	0.441177i
$754$	10.4179	−	72.4583i	0.379399	−	2.63878i
$755$	5.48455	+	3.52471i	0.199603	+	0.128277i
$756$	−0.164062	+	0.189338i	−0.00596689	+	0.00688615i
$757$	−14.1142	−	4.14430i	−0.512989	−	0.150627i	0.0149850	−	0.999888i	$-0.495230\pi$
$757$	−14.1142	−	4.14430i	−0.512989	−	0.150627i	−0.527974	+	0.849261i	$0.677048\pi$
$758$	−6.99659			−0.254128
$759$	1.28457	−	2.41945i	0.0466268	−	0.0878204i
$760$	−1.55754			−0.0564980
$761$	29.8248	+	8.75734i	1.08115	+	0.317453i	0.773337	−	0.633995i	$-0.218586\pi$
$761$	29.8248	+	8.75734i	1.08115	+	0.317453i	0.307809	+	0.951448i	$0.400404\pi$
$762$	−20.1078	+	23.2057i	−0.728430	+	0.840653i
$763$	0.772561	+	0.496495i	0.0279686	+	0.0179743i
$764$	0.568605	−	3.95473i	0.0205714	−	0.143077i
$765$	0.578384	−	0.371705i	0.0209115	−	0.0134390i
$766$	−23.5405	−	51.5465i	−0.850552	−	1.86245i
$767$	−20.2650	−	23.3871i	−0.731729	−	0.844460i
$768$	0.842833	+	5.86203i	0.0304131	+	0.211528i
$769$	15.3998	−	33.7208i	0.555331	−	1.21600i	−0.398917	−	0.916987i	$-0.630614\pi$
$769$	15.3998	−	33.7208i	0.555331	−	1.21600i	0.954248	−	0.299017i	$-0.0966589\pi$
$770$	−1.56783	+	0.460357i	−0.0565008	+	0.0165901i
$771$	−13.4555	+	3.95089i	−0.484588	+	0.142288i
$772$	0.427912	−	0.936996i	0.0154009	−	0.0337232i
$773$	−5.00974	−	34.8435i	−0.180188	−	1.25323i	−0.856317	−	0.516451i	$-0.827253\pi$
$773$	−5.00974	−	34.8435i	−0.180188	−	1.25323i	0.676129	−	0.736783i	$-0.263656\pi$
$774$	−6.75875	−	7.80001i	−0.242938	−	0.280366i
$775$	2.58414	+	5.65847i	0.0928250	+	0.203258i
$776$	15.4843	−	9.95115i	0.555854	−	0.357226i
$777$	−1.69124	+	11.7629i	−0.0606730	+	0.421990i
$778$	7.85522	+	5.04825i	0.281623	+	0.180988i
$779$	−0.345205	+	0.398388i	−0.0123683	+	0.0142737i
$780$	−2.86574	−	0.841458i	−0.102610	−	0.0301290i
$781$	−1.84281			−0.0659411
$782$	−2.52801	+	0.581025i	−0.0904016	+	0.0207774i
$783$	7.80533			0.278940
$784$	4.25851	+	1.25041i	0.152090	+	0.0446576i
$785$	−12.4368	+	14.3528i	−0.443887	+	0.512273i
$786$	−7.46926	−	4.80020i	−0.266420	−	0.171218i
$787$	−0.282078	+	1.96189i	−0.0100550	+	0.0699339i	−0.994231	−	0.107259i	$-0.965793\pi$
$787$	−0.282078	+	1.96189i	−0.0100550	+	0.0699339i	0.984176	+	0.177193i	$0.0567017\pi$
$788$	1.74581	−	1.12197i	0.0621921	−	0.0399684i
$789$	−10.7920	−	23.6313i	−0.384207	−	0.841295i
$790$	20.0749	+	23.1677i	0.714233	+	0.824269i
$791$	−2.77060	−	19.2699i	−0.0985112	−	0.685160i
$792$	−0.622743	+	1.36362i	−0.0221282	+	0.0484540i
$793$	−42.0992	+	12.3614i	−1.49499	+	0.438967i
$794$	−7.18567	+	2.10990i	−0.255010	+	0.0748777i
$795$	1.95493	−	4.28069i	0.0693340	−	0.151820i
$796$	0.623929	+	4.33952i	0.0221146	+	0.153810i
$797$	6.63511	+	7.65732i	0.235028	+	0.271236i	0.860996	−	0.508612i	$-0.169841\pi$
$797$	6.63511	+	7.65732i	0.235028	+	0.271236i	−0.625968	+	0.779849i	$0.715296\pi$
$798$	−0.193944	−	0.424679i	−0.00686556	−	0.0150335i
$799$	1.90632	−	1.22512i	0.0674407	−	0.0433415i
$800$	−0.273463	+	1.90197i	−0.00966836	+	0.0672449i
$801$	−4.26923	−	2.74367i	−0.150846	−	0.0969428i
$802$	2.32923	−	2.68807i	0.0822478	−	0.0949190i
$803$	−6.68159	−	1.96189i	−0.235788	−	0.0692336i
$804$	−1.87915			−0.0662726
$805$	8.91300	−	2.04852i	0.314142	−	0.0722007i
$806$	−42.7856			−1.50706
$807$	−23.4148	−	6.87522i	−0.824241	−	0.242019i
$808$	5.60227	−	6.46537i	0.197087	−	0.227451i
$809$	−7.38220	−	4.74425i	−0.259544	−	0.166799i	0.404397	−	0.914583i	$-0.367481\pi$
$809$	−7.38220	−	4.74425i	−0.259544	−	0.166799i	−0.663942	+	0.747784i	$0.731118\pi$
$810$	0.407128	−	2.83163i	0.0143050	−	0.0994935i
$811$	−5.12202	+	3.29172i	−0.179858	+	0.115588i	−0.627472	−	0.778639i	$-0.715910\pi$
$811$	−5.12202	+	3.29172i	−0.179858	+	0.115588i	0.447614	+	0.894227i	$0.352274\pi$
$812$	0.812332	+	1.77876i	0.0285073	+	0.0624222i
$813$	8.89598	+	10.2665i	0.311996	+	0.360062i
$814$	−1.44919	−	10.0794i	−0.0507942	−	0.353281i
$815$	8.75487	−	19.1705i	0.306670	−	0.671513i
$816$	1.53536	−	0.450821i	0.0537482	−	0.0157819i
$817$	2.05433	−	0.603205i	0.0718718	−	0.0211035i
$818$	15.6127	−	34.1871i	0.545887	−	1.19532i
$819$	0.889708	+	6.18806i	0.0310889	+	0.216228i
$820$	−0.529934	−	0.611577i	−0.0185061	−	0.0213572i
$821$	10.5761	+	23.1584i	0.369109	+	0.808235i	0.999489	+	0.0319492i	$0.0101715\pi$
$821$	10.5761	+	23.1584i	0.369109	+	0.808235i	−0.630381	+	0.776286i	$0.717101\pi$
$822$	−18.2677	+	11.7399i	−0.637159	+	0.409477i
$823$	1.98843	−	13.8299i	0.0693124	−	0.482079i	−0.925368	−	0.379070i	$-0.876244\pi$
$823$	1.98843	−	13.8299i	0.0693124	−	0.482079i	0.994680	−	0.103009i	$-0.0328469\pi$
$824$	29.6763	+	19.0718i	1.03382	+	0.664397i
$825$	−0.510038	+	0.588615i	−0.0177572	+	0.0204929i
$826$	7.12501	+	2.09209i	0.247911	+	0.0727932i
$827$	−38.4252			−1.33618			−0.668088	−	0.744082i	$-0.732887\pi$
$827$	−38.4252			−1.33618			−0.668088	+	0.744082i	$0.732887\pi$
$828$	−0.563428	+	1.06120i	−0.0195805	+	0.0368793i
$829$	10.1154			0.351321			0.175661	−	0.984451i	$-0.443794\pi$
$829$	10.1154			0.351321			0.175661	+	0.984451i	$0.443794\pi$
$830$	−7.12659	−	2.09256i	−0.247368	−	0.0726337i
$831$	−0.0336340	+	0.0388157i	−0.00116675	+	0.00134650i
$832$	35.5660	+	22.8568i	1.23303	+	0.792419i
$833$	0.0513099	−	0.356868i	0.00177778	−	0.0123648i
$834$	−18.1063	+	11.6362i	−0.626971	+	0.402930i
$835$	8.98100	+	19.6656i	0.310800	+	0.680558i
$836$	0.0291635	+	0.0336564i	0.00100864	+	0.00116403i
$837$	−0.649244	−	4.51559i	−0.0224412	−	0.156082i
$838$	−0.978445	+	2.14250i	−0.0337998	+	0.0740113i
$839$	−35.3557	+	10.3814i	−1.22061	+	0.358404i	−0.827700	−	0.561171i	$-0.810351\pi$
$839$	−35.3557	+	10.3814i	−1.22061	+	0.358404i	−0.392913	+	0.919576i	$0.628533\pi$
$840$	−4.80207	+	1.41002i	−0.165687	+	0.0486502i
$841$	13.2614	−	29.0384i	0.457289	−	1.00132i
$842$	6.77715	+	47.1361i	0.233556	+	1.62442i
$843$	−17.1736	−	19.8194i	−0.591490	−	0.682616i
$844$	−2.11996	−	4.64207i	−0.0729721	−	0.159787i
$845$	−41.8440	+	26.8915i	−1.43948	+	0.925095i
$846$	1.34187	−	9.33290i	0.0461344	−	0.320872i
$847$	8.97933	+	5.77066i	0.308533	+	0.198282i
$848$	7.17257	−	8.27759i	0.246307	−	0.284254i
$849$	17.5844	+	5.16324i	0.603494	+	0.177202i
$850$	0.737512			0.0252965
$851$	4.73131	+	56.7960i	0.162187	+	1.94694i
$852$	0.808283			0.0276913
$853$	36.8655	+	10.8247i	1.26225	+	0.370630i	0.843332	−	0.537393i	$-0.180591\pi$
$853$	36.8655	+	10.8247i	1.26225	+	0.370630i	0.418919	+	0.908024i	$0.362409\pi$
$854$	6.89486	−	7.95709i	0.235937	−	0.272286i
$855$	0.499250	+	0.320848i	0.0170740	+	0.0109728i
$856$	−3.35072	+	23.3048i	−0.114525	+	0.796541i
$857$	20.8455	−	13.3966i	0.712067	−	0.457618i	−0.133802	−	0.991008i	$-0.542719\pi$
$857$	20.8455	−	13.3966i	0.712067	−	0.457618i	0.845869	+	0.533390i	$0.179082\pi$
$858$	−2.22536	−	4.87285i	−0.0759724	−	0.166356i
$859$	−13.9576	−	16.1080i	−0.476229	−	0.549597i	0.465905	−	0.884835i	$-0.345729\pi$
$859$	−13.9576	−	16.1080i	−0.476229	−	0.549597i	−0.942134	+	0.335238i	$0.891183\pi$
$860$	0.467760	+	3.25334i	0.0159505	+	0.110938i
$861$	−0.703651	+	1.54078i	−0.0239804	+	0.0525097i
$862$	−21.0294	+	6.17478i	−0.716263	+	0.210314i
$863$	0.802122	−	0.235524i	0.0273046	−	0.00801734i	−0.268052	−	0.963405i	$-0.586380\pi$
$863$	0.802122	−	0.235524i	0.0273046	−	0.00801734i	0.295356	+	0.955387i	$0.404562\pi$
$864$	0.585402	−	1.28185i	0.0199158	−	0.0436095i
$865$	−3.56459	−	24.7923i	−0.121200	−	0.842963i
$866$	6.69420	+	7.72552i	0.227478	+	0.262524i
$867$	7.00806	+	15.3455i	0.238006	+	0.521161i
$868$	0.961489	−	0.617912i	0.0326351	−	0.0209733i
$869$	−0.871068	+	6.05841i	−0.0295490	+	0.205518i
$870$	−18.7845	−	12.0720i	−0.636853	−	0.409280i
$871$	−30.7078	+	35.4387i	−1.04049	+	1.20079i
$872$	−2.31258	−	0.679034i	−0.0783138	−	0.0229950i
$873$	−7.01319			−0.237361
$874$	−1.36270	−	1.77660i	−0.0460940	−	0.0600942i
$875$	−12.1350			−0.410237
$876$	2.93063	+	0.860512i	0.0990170	+	0.0290740i
$877$	−29.4591	+	33.9977i	−0.994764	+	1.14802i	−0.00578219	+	0.999983i	$0.501841\pi$
$877$	−29.4591	+	33.9977i	−0.994764	+	1.14802i	−0.988982	+	0.148036i	$0.952705\pi$
$878$	−10.0910	−	6.48508i	−0.340554	−	0.218861i
$879$	−0.346913	+	2.41283i	−0.0117011	+	0.0813828i
$880$	4.06685	−	2.61361i	0.137094	−	0.0881047i
$881$	−16.4634	−	36.0497i	−0.554665	−	1.21455i	−0.954569	−	0.297989i	$-0.903684\pi$
$881$	−16.4634	−	36.0497i	−0.554665	−	1.21455i	0.399905	−	0.916557i	$-0.369043\pi$
$882$	−0.982407	−	1.13376i	−0.0330794	−	0.0381756i
$883$	3.28659	+	22.8587i	0.110603	+	0.769258i	0.967336	+	0.253498i	$0.0815812\pi$
$883$	3.28659	+	22.8587i	0.110603	+	0.769258i	−0.856733	+	0.515760i	$0.827510\pi$
$884$	−0.234580	+	0.513658i	−0.00788977	+	0.0172762i
$885$	−9.05693	+	2.65935i	−0.304445	+	0.0893932i
$886$	49.1325	−	14.4266i	1.65064	−	0.484671i
$887$	−1.39029	+	3.04432i	−0.0466815	+	0.102218i	−0.931536	−	0.363650i	$-0.881531\pi$
$887$	−1.39029	+	3.04432i	−0.0466815	+	0.102218i	0.884854	+	0.465868i	$0.154258\pi$
$888$	−4.43869	−	30.8718i	−0.148953	−	1.03599i
$889$	−13.4036	−	15.4686i	−0.449544	−	0.518801i
$890$	6.03095	+	13.2059i	0.202158	+	0.442664i
$891$	0.480512	−	0.308806i	0.0160978	−	0.0103454i
$892$	−0.200554	+	1.39488i	−0.00671503	+	0.0467041i
$893$	1.64550	+	1.05750i	0.0550645	+	0.0353878i
$894$	9.25503	−	10.6809i	0.309534	−	0.357222i
$895$	−24.7502	−	7.26731i	−0.827307	−	0.242919i
$896$	−12.9634			−0.433077
$897$	10.8059	+	27.9670i	0.360800	+	0.933792i
$898$	17.3452			0.578816
$899$	−34.1658	−	10.0320i	−1.13949	−	0.334585i
$900$	0.223709	−	0.258174i	0.00745698	−	0.00860582i
$901$	−0.748493	−	0.481028i	−0.0249359	−	0.0160253i
$902$	0.206560	−	1.43665i	0.00687769	−	0.0478354i
$903$	5.78765	−	3.71949i	0.192601	−	0.123777i
$904$	21.2253	+	46.4770i	0.705944	+	1.54580i
$905$	25.0435	+	28.9018i	0.832474	+	0.960727i
$906$	−0.729909	−	5.07663i	−0.0242496	−	0.168660i
$907$	−10.7444	+	23.5270i	−0.356762	+	0.781200i	0.643119	+	0.765766i	$0.277640\pi$
$907$	−10.7444	+	23.5270i	−0.356762	+	0.781200i	−0.999881	+	0.0154333i	$0.995087\pi$
$908$	−2.21834	+	0.651363i	−0.0736181	+	0.0216162i
$909$	−3.12758	+	0.918340i	−0.103735	+	0.0304594i
$910$	7.42951	−	16.2684i	0.246286	−	0.539291i
$911$	−3.25896	−	22.6666i	−0.107974	−	0.750977i	−0.969823	−	0.243811i	$-0.921602\pi$
$911$	−3.25896	−	22.6666i	−0.107974	−	0.750977i	0.861848	−	0.507166i	$-0.169307\pi$
$912$	0.904520	+	1.04387i	0.0299516	+	0.0345660i
$913$	−0.616055	−	1.34897i	−0.0203884	−	0.0446445i
$914$	−11.1989	+	7.19711i	−0.370427	+	0.238059i
$915$	−1.90468	+	13.2473i	−0.0629668	+	0.437944i
$916$	−1.25375	−	0.805739i	−0.0414252	−	0.0266224i
$917$	3.87576	−	4.47287i	0.127989	−	0.147707i
$918$	−0.518962	−	0.152381i	−0.0171283	−	0.00502932i
$919$	11.4338			0.377165			0.188582	−	0.982057i	$-0.439611\pi$
$919$	11.4338			0.377165			0.188582	+	0.982057i	$0.439611\pi$
$920$	−20.9300	+	11.7490i	−0.690043	+	0.387351i
$921$	20.2002			0.665620
$922$	−52.2185	−	15.3327i	−1.71973	−	0.504957i
$923$	13.2084	−	15.2433i	0.434760	−	0.501740i
$924$	0.120383	+	0.0773653i	0.00396030	+	0.00254513i
$925$	2.30612	−	16.0394i	0.0758247	−	0.527372i
$926$	−5.62032	+	3.61196i	−0.184695	+	0.118696i
$927$	−5.58362	−	12.2264i	−0.183390	−	0.401568i
$928$	−7.20298	−	8.31269i	−0.236450	−	0.272877i
$929$	−1.53324	−	10.6639i	−0.0503040	−	0.349872i	−0.999392	−	0.0348616i	$-0.988901\pi$
$929$	−1.53324	−	10.6639i	−0.0503040	−	0.349872i	0.949088	−	0.315011i	$-0.102008\pi$
$930$	−5.42151	+	11.8715i	−0.177778	+	0.389280i
$931$	0.298603	−	0.0876779i	0.00978633	−	0.00287353i
$932$	6.58878	−	1.93464i	0.215823	−	0.0633712i
$933$	2.18867	−	4.79251i	0.0716538	−	0.156900i
$934$	−0.548337	−	3.81377i	−0.0179422	−	0.124790i
$935$	−0.257167	−	0.296787i	−0.00841027	−	0.00970596i
$936$	−6.81598	−	14.9249i	−0.222787	−	0.487836i
$937$	−26.2738	+	16.8852i	−0.858329	+	0.551614i	−0.894162	−	0.447743i	$-0.852228\pi$
$937$	−26.2738	+	16.8852i	−0.858329	+	0.551614i	0.0358334	+	0.999358i	$0.488591\pi$
$938$	1.60138	−	11.1379i	0.0522870	−	0.363664i
$939$	−0.195313	−	0.125520i	−0.00637380	−	0.00409619i
$940$	−1.96636	+	2.26931i	−0.0641357	+	0.0740166i
$941$	51.1444	+	15.0173i	1.66726	+	0.489552i	0.973122	−	0.230291i	$-0.0739677\pi$
$941$	51.1444	+	15.0173i	1.66726	+	0.489552i	0.694138	+	0.719842i	$0.255786\pi$
$942$	14.9404			0.486785
$943$	−1.63368	+	7.95746i	−0.0531998	+	0.259131i
$944$	−21.9694			−0.715042
$945$	1.82970	+	0.537248i	0.0595201	+	0.0174767i
$946$	−3.86050	+	4.45526i	−0.125516	+	0.144853i
$947$	2.08434	+	1.33952i	0.0677318	+	0.0435286i	0.574068	−	0.818807i	$-0.305364\pi$
$947$	2.08434	+	1.33952i	0.0677318	+	0.0435286i	−0.506337	+	0.862336i	$0.669001\pi$
$948$	0.382062	−	2.65730i	0.0124088	−	0.0863052i
$949$	64.1187	−	41.2066i	2.08138	−	1.33762i
$950$	0.264456	+	0.579077i	0.00858008	+	0.0187878i
$951$	6.17583	+	7.12729i	0.200265	+	0.231118i
$952$	0.134664	+	0.936606i	0.00436447	+	0.0303556i
$953$	−9.44385	+	20.6791i	−0.305916	+	0.669863i	−0.998683	−	0.0512982i	$-0.983664\pi$
$953$	−9.44385	+	20.6791i	−0.305916	+	0.669863i	0.692767	+	0.721161i	$0.256391\pi$
$954$	−3.55217	+	1.04301i	−0.115006	+	0.0337688i
$955$	−29.1797	+	8.56793i	−0.944232	+	0.277252i
$956$	−2.25145	+	4.92998i	−0.0728170	+	0.159447i
$957$	−0.634482	−	4.41292i	−0.0205099	−	0.142649i
$958$	25.0492	+	28.9083i	0.809304	+	0.933986i
$959$	−6.01308	−	13.1668i	−0.194172	−	0.425178i
$960$	10.8486	−	6.97199i	0.350138	−	0.225020i
$961$	1.44989	−	10.0842i	0.0467707	−	0.325297i
$962$	93.7611	+	60.2566i	3.02298	+	1.94275i
$963$	5.87473	−	6.77980i	0.189311	−	0.218476i
$964$	3.79670	+	1.11481i	0.122283	+	0.0359056i
$965$	−7.84062			−0.252398
$966$	−5.80967	−	4.24381i	−0.186923	−	0.136542i
$967$	53.4534			1.71894			0.859472	−	0.511183i	$-0.170792\pi$
$967$	53.4534			1.71894			0.859472	+	0.511183i	$0.170792\pi$
$968$	−26.8787	−	7.89229i	−0.863913	−	0.253668i
$969$	0.0734773	−	0.0847973i	0.00236043	−	0.00272408i
$970$	16.8781	+	10.8469i	0.541922	+	0.348272i
$971$	−1.24061	+	8.62860i	−0.0398129	+	0.276905i	−0.999997	−	0.00246327i	$-0.999216\pi$
$971$	−1.24061	+	8.62860i	−0.0398129	+	0.276905i	0.960184	+	0.279368i	$0.0901250\pi$
$972$	−0.210759	+	0.135447i	−0.00676011	+	0.00434446i
$973$	−5.95996	−	13.0505i	−0.191067	−	0.418379i
$974$	−9.56144	−	11.0345i	−0.306368	−	0.353568i
$975$	−1.21317	−	8.43781i	−0.0388527	−	0.270226i
$976$	−12.9399	+	28.3345i	−0.414198	+	0.906966i
$977$	−34.5824	+	10.1543i	−1.10639	+	0.324865i	−0.783387	−	0.621534i	$-0.786510\pi$
$977$	−34.5824	+	10.1543i	−1.10639	+	0.324865i	−0.323000	+	0.946399i	$0.604692\pi$
$978$	−15.9079	+	4.67099i	−0.508680	+	0.149362i
$979$	−1.20416	+	2.63673i	−0.0384850	+	0.0842704i
$980$	0.0679904	+	0.472884i	0.00217188	+	0.0151057i
$981$	0.601388	+	0.694039i	0.0192008	+	0.0221590i
$982$	−21.0648	−	46.1255i	−0.672205	−	1.47192i
$983$	23.0895	−	14.8387i	0.736440	−	0.473281i	−0.117881	−	0.993028i	$-0.537610\pi$
$983$	23.0895	−	14.8387i	0.736440	−	0.473281i	0.854320	+	0.519747i	$0.173974\pi$
$984$	0.632666	−	4.40029i	0.0201687	−	0.140276i
$985$	−13.2885	−	8.54001i	−0.423407	−	0.272107i
$986$	−2.76461	+	3.19053i	−0.0880431	+	0.101607i
$987$	6.03058	+	1.77074i	0.191955	+	0.0563632i
$988$	−0.487428			−0.0155071
$989$	23.0557	−	23.6021i	0.733127	−	0.750504i
$990$	−1.63402			−0.0519326
$991$	1.33558	+	0.392161i	0.0424261	+	0.0124574i	0.302877	−	0.953030i	$-0.402053\pi$
$991$	1.33558	+	0.392161i	0.0424261	+	0.0124574i	−0.260451	+	0.965487i	$0.583871\pi$
$992$	−4.20997	+	4.85856i	−0.133667	+	0.154259i
$993$	8.94573	+	5.74907i	0.283884	+	0.182441i
$994$	−0.688805	+	4.79075i	−0.0218476	+	0.151953i
$995$	28.0731	−	18.0415i	0.889977	−	0.571953i
$996$	0.270210	+	0.591678i	0.00856193	+	0.0187480i
$997$	−21.7694	−	25.1233i	−0.689445	−	0.795662i	0.297841	−	0.954615i	$-0.403733\pi$
$997$	−21.7694	−	25.1233i	−0.689445	−	0.795662i	−0.987286	+	0.158953i	$0.949188\pi$
$998$	−6.65734	−	46.3028i	−0.210735	−	1.46569i
$999$	−4.93671	+	10.8099i	−0.156191	+	0.342010i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.q.e.64.2	✓	60
23.9	even	11	inner	483.2.q.e.400.2	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.q.e.64.2	✓	60	1.1	even	1	trivial
483.2.q.e.400.2	yes	60	23.9	even	11	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.43941 - 0.422649i) q^{2} +(0.654861 - 0.755750i) q^{3} +(0.210759 + 0.135447i) q^{4} +(0.271386 - 1.88753i) q^{5} +(-1.26203 + 0.811057i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(1.71869 + 1.98348i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(-1.18840 + 2.60223i) q^{10} +(-0.548049 + 0.160922i) q^{11} +(0.240382 - 0.0705825i) q^{12} +(2.59705 - 5.68674i) q^{13} +(0.213497 + 1.48491i) q^{14} +(-1.24878 - 1.44117i) q^{15} +(-1.84373 - 4.03721i) q^{16} +(-0.303304 + 0.194922i) q^{17} +(-0.213497 + 1.48491i) q^{18} +(-0.261806 - 0.168253i) q^{19} +(0.312858 - 0.361057i) q^{20} +(-0.959493 - 0.281733i) q^{21} +0.856880 q^{22} +(-4.78729 - 0.286084i) q^{23} +2.62451 q^{24} +(1.30833 + 0.384160i) q^{25} +(-6.14170 + 7.08790i) q^{26} +(-0.841254 - 0.540641i) q^{27} +(0.0356541 - 0.247980i) q^{28} +(-6.56626 + 4.21988i) q^{29} +(1.18840 + 2.60223i) q^{30} +(2.98749 + 3.44775i) q^{31} +(0.200550 + 1.39485i) q^{32} +(-0.237279 + 0.519569i) q^{33} +(0.518962 - 0.152381i) q^{34} +(-1.82970 + 0.537248i) q^{35} +(0.104074 - 0.227890i) q^{36} +(-1.69124 - 11.7629i) q^{37} +(0.305734 + 0.352836i) q^{38} +(-2.59705 - 5.68674i) q^{39} +(4.21031 - 2.70580i) q^{40} +(0.241060 - 1.67661i) q^{41} +(1.26203 + 0.811057i) q^{42} +(-4.50530 + 5.19940i) q^{43} +(-0.137303 - 0.0403157i) q^{44} -1.90694 q^{45} +(6.76996 + 2.43513i) q^{46} -6.28517 q^{47} +(-4.25851 - 1.25041i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(-1.72086 - 1.10593i) q^{50} +(-0.0513099 + 0.356868i) q^{51} +(1.31760 - 0.846771i) q^{52} +(1.02516 + 2.24479i) q^{53} +(0.982407 + 1.13376i) q^{54} +(0.155012 + 1.07813i) q^{55} +(1.09026 - 2.38734i) q^{56} +(-0.298603 + 0.0876779i) q^{57} +(11.2351 - 3.29891i) q^{58} +(2.05629 - 4.50264i) q^{59} +(-0.0679904 - 0.472884i) q^{60} +(-4.59603 - 5.30410i) q^{61} +(-2.84304 - 6.22538i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(-0.962410 + 6.69371i) q^{64} +(-10.0291 - 6.44532i) q^{65} +(0.561137 - 0.647587i) q^{66} +(-7.19688 - 2.11319i) q^{67} -0.0903256 q^{68} +(-3.35122 + 3.43065i) q^{69} +2.86075 q^{70} +(3.09561 + 0.908952i) q^{71} +(1.71869 - 1.98348i) q^{72} +(10.2562 + 6.59127i) q^{73} +(-2.53716 + 17.6464i) q^{74} +(1.14710 - 0.737199i) q^{75} +(-0.0323888 - 0.0709216i) q^{76} +(0.374047 + 0.431674i) q^{77} +(1.33472 + 9.28318i) q^{78} +(4.45150 - 9.74743i) q^{79} +(-8.12075 + 2.38447i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-1.05560 + 2.31144i) q^{82} +(0.369496 + 2.56990i) q^{83} +(-0.164062 - 0.189338i) q^{84} +(0.285609 + 0.625396i) q^{85} +(8.68249 - 5.57990i) q^{86} +(-1.11081 + 7.72589i) q^{87} +(-1.26111 - 0.810467i) q^{88} +(3.32332 - 3.83531i) q^{89} +(2.74487 + 0.805967i) q^{90} -6.25169 q^{91} +(-0.970217 - 0.708718i) q^{92} +4.56203 q^{93} +(9.04694 + 2.65642i) q^{94} +(-0.388633 + 0.448506i) q^{95} +(1.18549 + 0.761870i) q^{96} +(0.998081 - 6.94181i) q^{97} +(1.26203 - 0.811057i) q^{98} +(0.237279 + 0.519569i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - q^{2} + 6 q^{3} - 3 q^{4} + 5 q^{5} + q^{6} + 6 q^{7} + 13 q^{8} - 6 q^{9} - 4 q^{10} - q^{11} + 3 q^{12} + 22 q^{13} + q^{14} + 6 q^{15} - 5 q^{16} + 9 q^{17} - q^{18} - 34 q^{19} + 67 q^{20}+ \cdots - q^{99}+O(q^{100}) \) 60 * q - q^2 + 6 * q^3 - 3 * q^4 + 5 * q^5 + q^6 + 6 * q^7 + 13 * q^8 - 6 * q^9 - 4 * q^10 - q^11 + 3 * q^12 + 22 * q^13 + q^14 + 6 * q^15 - 5 * q^16 + 9 * q^17 - q^18 - 34 * q^19 + 67 * q^20 - 6 * q^21 - 28 * q^22 - 13 * q^23 + 42 * q^24 - 15 * q^25 - 4 * q^26 + 6 * q^27 + 14 * q^28 - 23 * q^29 + 4 * q^30 + 27 * q^31 + 37 * q^32 + q^33 + 3 * q^34 + 6 * q^35 - 3 * q^36 - 82 * q^37 + 2 * q^38 - 22 * q^39 + 57 * q^40 - 22 * q^41 - q^42 + 25 * q^43 - 41 * q^44 + 16 * q^45 - 47 * q^46 - 90 * q^47 - 28 * q^48 - 6 * q^49 + 55 * q^50 - 9 * q^51 - 92 * q^52 - 17 * q^53 - 10 * q^54 + 21 * q^55 + 9 * q^56 - 32 * q^57 + 87 * q^58 + 38 * q^59 - 45 * q^60 + 23 * q^61 + q^62 + 6 * q^63 - 75 * q^64 - 75 * q^65 + 61 * q^66 + 5 * q^67 + 88 * q^68 + 13 * q^69 - 18 * q^70 + 8 * q^71 + 13 * q^72 + 90 * q^73 + 79 * q^74 - 18 * q^75 - 85 * q^76 - 10 * q^77 - 18 * q^78 - 6 * q^79 - 147 * q^80 - 6 * q^81 + 112 * q^82 - 90 * q^83 - 3 * q^84 + 55 * q^85 - 8 * q^86 - 10 * q^87 - 210 * q^88 - 15 * q^89 - 4 * q^90 - 22 * q^91 + 39 * q^92 + 50 * q^93 + 144 * q^94 + 72 * q^95 + 7 * q^96 - 48 * q^97 - q^98 - q^99

Introduction

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