LMFDB - Embedded newform 11.3.d.a.2.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [11,3,Mod(2,11)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(11, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([1]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("11.2");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 11 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	11.d (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:	$0.299728290796$
Analytic rank:	$0$
Dimension:	$4$
Coefficient field:	$\Q(\zeta_{10})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{4} - x^{3} + x^{2} - x + 1 $ x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			2.1
Root			$0.809017 + 0.587785i$ of defining polynomial
Character	$\chi$	$=$	11.2
Dual form			11.3.d.a.6.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.690983 - 0.224514i) q^{2} +(-1.11803 + 0.812299i) q^{3} +(-2.80902 - 2.04087i) q^{4} +(1.23607 + 3.80423i) q^{5} +(0.954915 - 0.310271i) q^{6} +(5.85410 - 8.05748i) q^{7} +(3.19098 + 4.39201i) q^{8} +(-2.19098 + 6.74315i) q^{9} +O(q^{10})$	\(q+(-0.690983 - 0.224514i) q^{2} +(-1.11803 + 0.812299i) q^{3} +(-2.80902 - 2.04087i) q^{4} +(1.23607 + 3.80423i) q^{5} +(0.954915 - 0.310271i) q^{6} +(5.85410 - 8.05748i) q^{7} +(3.19098 + 4.39201i) q^{8} +(-2.19098 + 6.74315i) q^{9} -2.90617i q^{10} +(-10.3713 - 3.66547i) q^{11} +4.79837 q^{12} +(-5.00000 - 1.62460i) q^{13} +(-5.85410 + 4.25325i) q^{14} +(-4.47214 - 3.24920i) q^{15} +(3.07295 + 9.45756i) q^{16} +(14.5344 - 4.72253i) q^{17} +(3.02786 - 4.16750i) q^{18} +(1.21885 + 1.67760i) q^{19} +(4.29180 - 13.2088i) q^{20} +13.7638i q^{21} +(6.34346 + 4.86128i) q^{22} -2.76393 q^{23} +(-7.13525 - 2.31838i) q^{24} +(7.28115 - 5.29007i) q^{25} +(3.09017 + 2.24514i) q^{26} +(-6.87132 - 21.1478i) q^{27} +(-32.8885 + 10.6861i) q^{28} +(-16.7082 + 22.9969i) q^{29} +(2.36068 + 3.24920i) q^{30} +(-2.20163 + 6.77591i) q^{31} -28.9402i q^{32} +(14.5729 - 4.32650i) q^{33} -11.1033 q^{34} +(37.8885 + 12.3107i) q^{35} +(19.9164 - 14.4701i) q^{36} +(32.5623 + 23.6579i) q^{37} +(-0.465558 - 1.43284i) q^{38} +(6.90983 - 2.24514i) q^{39} +(-12.7639 + 17.5680i) q^{40} +(-41.2426 - 56.7656i) q^{41} +(3.09017 - 9.51057i) q^{42} +23.0624i q^{43} +(21.6525 + 31.4629i) q^{44} -28.3607 q^{45} +(1.90983 + 0.620541i) q^{46} +(-22.0344 + 16.0090i) q^{47} +(-11.1180 - 8.07772i) q^{48} +(-15.5106 - 47.7369i) q^{49} +(-6.21885 + 2.02063i) q^{50} +(-12.4139 + 17.0863i) q^{51} +(10.7295 + 14.7679i) q^{52} +(-3.54102 + 10.8981i) q^{53} +16.1554i q^{54} +(1.12461 - 43.9856i) q^{55} +54.0689 q^{56} +(-2.72542 - 0.885544i) q^{57} +(16.7082 - 12.1392i) q^{58} +(1.83688 + 1.33457i) q^{59} +(5.93112 + 18.2541i) q^{60} +(21.5066 - 6.98791i) q^{61} +(3.04257 - 4.18774i) q^{62} +(41.5066 + 57.1289i) q^{63} +(5.79431 - 17.8330i) q^{64} -21.0292i q^{65} +(-11.0410 - 0.282294i) q^{66} -38.4934 q^{67} +(-50.4656 - 16.3973i) q^{68} +(3.09017 - 2.24514i) q^{69} +(-23.4164 - 17.0130i) q^{70} +(23.5836 + 72.5828i) q^{71} +(-36.6074 + 11.8945i) q^{72} +(60.4656 - 83.2237i) q^{73} +(-17.1885 - 23.6579i) q^{74} +(-3.84346 + 11.8290i) q^{75} -7.19991i q^{76} +(-90.2492 + 62.1087i) q^{77} -5.27864 q^{78} +(-3.74265 - 1.21606i) q^{79} +(-32.1803 + 23.3804i) q^{80} +(-26.7639 - 19.4451i) q^{81} +(15.7533 + 48.4836i) q^{82} +(79.1697 - 25.7238i) q^{83} +(28.0902 - 38.6628i) q^{84} +(35.9311 + 49.4549i) q^{85} +(5.17783 - 15.9357i) q^{86} -39.2833i q^{87} +(-16.9959 - 57.2474i) q^{88} +123.297 q^{89} +(19.5967 + 6.36737i) q^{90} +(-42.3607 + 30.7768i) q^{91} +(7.76393 + 5.64083i) q^{92} +(-3.04257 - 9.36408i) q^{93} +(18.8197 - 6.11488i) q^{94} +(-4.87539 + 6.71040i) q^{95} +(23.5081 + 32.3562i) q^{96} +(-23.9205 + 73.6196i) q^{97} +36.4677i q^{98} +(47.4402 - 61.9044i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q - 5 q^{2} - 9 q^{4} - 4 q^{5} + 15 q^{6} + 10 q^{7} + 15 q^{8} - 11 q^{9}+O(q^{10}) $ 4 * q - 5 * q^2 - 9 * q^4 - 4 * q^5 + 15 * q^6 + 10 * q^7 + 15 * q^8 - 11 * q^9	\( 4 q - 5 q^{2} - 9 q^{4} - 4 q^{5} + 15 q^{6} + 10 q^{7} + 15 q^{8} - 11 q^{9} + q^{11} - 30 q^{12} - 20 q^{13} - 10 q^{14} + 19 q^{16} + 30 q^{18} + 25 q^{19} + 44 q^{20} - 35 q^{22} - 20 q^{23} + 5 q^{24} + 9 q^{25} - 10 q^{26} + 15 q^{27} - 60 q^{28} - 40 q^{29} - 80 q^{30} - 58 q^{31} + 65 q^{33} + 130 q^{34} + 80 q^{35} + 26 q^{36} + 90 q^{37} - 60 q^{38} + 50 q^{39} - 60 q^{40} - 80 q^{41} - 10 q^{42} + 24 q^{44} - 24 q^{45} + 30 q^{46} - 30 q^{47} - 40 q^{48} - 109 q^{49} - 45 q^{50} - 195 q^{51} + 110 q^{52} + 120 q^{53} - 76 q^{55} + 100 q^{56} + 45 q^{57} + 40 q^{58} + 23 q^{59} + 140 q^{60} + 10 q^{61} + 200 q^{62} + 90 q^{63} - 149 q^{64} + 90 q^{66} - 230 q^{67} - 260 q^{68} - 10 q^{69} - 40 q^{70} + 148 q^{71} - 95 q^{72} + 300 q^{73} - 270 q^{74} + 45 q^{75} - 200 q^{77} - 200 q^{78} + 70 q^{79} - 84 q^{80} - 116 q^{81} + 25 q^{82} + 225 q^{83} + 90 q^{84} + 260 q^{85} + 175 q^{86} + 55 q^{88} + 122 q^{89} - 20 q^{90} - 80 q^{91} + 40 q^{92} - 200 q^{93} + 120 q^{94} - 100 q^{95} + 340 q^{96} - 165 q^{97} + 31 q^{99}+O(q^{100}) \) 4 * q - 5 * q^2 - 9 * q^4 - 4 * q^5 + 15 * q^6 + 10 * q^7 + 15 * q^8 - 11 * q^9 + q^11 - 30 * q^12 - 20 * q^13 - 10 * q^14 + 19 * q^16 + 30 * q^18 + 25 * q^19 + 44 * q^20 - 35 * q^22 - 20 * q^23 + 5 * q^24 + 9 * q^25 - 10 * q^26 + 15 * q^27 - 60 * q^28 - 40 * q^29 - 80 * q^30 - 58 * q^31 + 65 * q^33 + 130 * q^34 + 80 * q^35 + 26 * q^36 + 90 * q^37 - 60 * q^38 + 50 * q^39 - 60 * q^40 - 80 * q^41 - 10 * q^42 + 24 * q^44 - 24 * q^45 + 30 * q^46 - 30 * q^47 - 40 * q^48 - 109 * q^49 - 45 * q^50 - 195 * q^51 + 110 * q^52 + 120 * q^53 - 76 * q^55 + 100 * q^56 + 45 * q^57 + 40 * q^58 + 23 * q^59 + 140 * q^60 + 10 * q^61 + 200 * q^62 + 90 * q^63 - 149 * q^64 + 90 * q^66 - 230 * q^67 - 260 * q^68 - 10 * q^69 - 40 * q^70 + 148 * q^71 - 95 * q^72 + 300 * q^73 - 270 * q^74 + 45 * q^75 - 200 * q^77 - 200 * q^78 + 70 * q^79 - 84 * q^80 - 116 * q^81 + 25 * q^82 + 225 * q^83 + 90 * q^84 + 260 * q^85 + 175 * q^86 + 55 * q^88 + 122 * q^89 - 20 * q^90 - 80 * q^91 + 40 * q^92 - 200 * q^93 + 120 * q^94 - 100 * q^95 + 340 * q^96 - 165 * q^97 + 31 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/11\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{10}\right)$

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 $

$2$	−0.690983	−	0.224514i	−0.345492	−	0.112257i	0.131131	−	0.991365i	$-0.458139\pi$
$2$	−0.690983	−	0.224514i	−0.345492	−	0.112257i	−0.476623	+	0.879108i	$0.658139\pi$
$3$	−1.11803	+	0.812299i	−0.372678	+	0.270766i	−0.758321	−	0.651882i	$-0.773980\pi$
$3$	−1.11803	+	0.812299i	−0.372678	+	0.270766i	0.385643	+	0.922648i	$0.373980\pi$
$4$	−2.80902	−	2.04087i	−0.702254	−	0.510218i
$5$	1.23607	+	3.80423i	0.247214	+	0.760845i	0.995264	+	0.0972039i	$0.0309899\pi$
$5$	1.23607	+	3.80423i	0.247214	+	0.760845i	−0.748051	+	0.663641i	$0.769010\pi$
$6$	0.954915	−	0.310271i	0.159153	−	0.0517118i
$7$	5.85410	−	8.05748i	0.836300	−	1.15107i	−0.150417	−	0.988623i	$-0.548062\pi$
$7$	5.85410	−	8.05748i	0.836300	−	1.15107i	0.986717	−	0.162446i	$-0.0519383\pi$
$8$	3.19098	+	4.39201i	0.398873	+	0.549001i
$9$	−2.19098	+	6.74315i	−0.243443	+	0.749239i
$10$		−	2.90617i		−	0.290617i
$11$	−10.3713	−	3.66547i	−0.942848	−	0.333224i
$11$	−10.3713	−	3.66547i	−0.942848	−	0.333224i
$12$	4.79837			0.399864
$13$	−5.00000	−	1.62460i	−0.384615	−	0.124969i	0.110326	−	0.993895i	$-0.464810\pi$
$13$	−5.00000	−	1.62460i	−0.384615	−	0.124969i	−0.494941	+	0.868926i	$0.664810\pi$
$14$	−5.85410	+	4.25325i	−0.418150	+	0.303804i
$15$	−4.47214	−	3.24920i	−0.298142	−	0.216613i
$16$	3.07295	+	9.45756i	0.192059	+	0.591098i
$17$	14.5344	−	4.72253i	0.854967	−	0.277796i	0.151442	−	0.988466i	$-0.451608\pi$
$17$	14.5344	−	4.72253i	0.854967	−	0.277796i	0.703525	+	0.710670i	$0.251608\pi$
$18$	3.02786	−	4.16750i	0.168215	−	0.231528i
$19$	1.21885	+	1.67760i	0.0641498	+	0.0882947i	0.839886	−	0.542762i	$-0.182621\pi$
$19$	1.21885	+	1.67760i	0.0641498	+	0.0882947i	−0.775737	+	0.631057i	$0.782621\pi$
$20$	4.29180	−	13.2088i	0.214590	−	0.660440i
$21$			13.7638i			0.655420i
$22$	6.34346	+	4.86128i	0.288339	+	0.220967i
$23$	−2.76393			−0.120171			−0.0600855	−	0.998193i	$-0.519137\pi$
$23$	−2.76393			−0.120171			−0.0600855	+	0.998193i	$0.519137\pi$
$24$	−7.13525	−	2.31838i	−0.297302	−	0.0965994i
$25$	7.28115	−	5.29007i	0.291246	−	0.211603i
$26$	3.09017	+	2.24514i	0.118853	+	0.0863515i
$27$	−6.87132	−	21.1478i	−0.254493	−	0.783250i
$28$	−32.8885	+	10.6861i	−1.17459	+	0.381648i
$29$	−16.7082	+	22.9969i	−0.576145	+	0.792996i	−0.993266	−	0.115855i	$-0.963039\pi$
$29$	−16.7082	+	22.9969i	−0.576145	+	0.792996i	0.417121	+	0.908851i	$0.363039\pi$
$30$	2.36068	+	3.24920i	0.0786893	+	0.108307i
$31$	−2.20163	+	6.77591i	−0.0710202	+	0.218578i	−0.980266	−	0.197681i	$-0.936659\pi$
$31$	−2.20163	+	6.77591i	−0.0710202	+	0.218578i	0.909246	+	0.416259i	$0.136659\pi$
$32$		−	28.9402i		−	0.904382i
$33$	14.5729	−	4.32650i	0.441605	−	0.131106i
$34$	−11.1033			−0.326568
$35$	37.8885	+	12.3107i	1.08253	+	0.351735i
$36$	19.9164	−	14.4701i	0.553234	−	0.401948i
$37$	32.5623	+	23.6579i	0.880062	+	0.639403i	0.933268	−	0.359181i	$-0.116944\pi$
$37$	32.5623	+	23.6579i	0.880062	+	0.639403i	−0.0532056	+	0.998584i	$0.516944\pi$
$38$	−0.465558	−	1.43284i	−0.0122515	−	0.0377063i
$39$	6.90983	−	2.24514i	0.177175	−	0.0575677i
$40$	−12.7639	+	17.5680i	−0.319098	+	0.439201i
$41$	−41.2426	−	56.7656i	−1.00592	−	1.38453i	−0.921623	−	0.388087i	$-0.873136\pi$
$41$	−41.2426	−	56.7656i	−1.00592	−	1.38453i	−0.0842954	−	0.996441i	$-0.526864\pi$
$42$	3.09017	−	9.51057i	0.0735755	−	0.226442i
$43$			23.0624i			0.536334i	0.963372	+	0.268167i	$0.0864180\pi$
$43$			23.0624i			0.536334i	−0.963372	+	0.268167i	$0.913582\pi$
$44$	21.6525	+	31.4629i	0.492102	+	0.715066i
$45$	−28.3607			−0.630237
$46$	1.90983	+	0.620541i	0.0415180	+	0.0134900i
$47$	−22.0344	+	16.0090i	−0.468818	+	0.340616i	−0.796980	−	0.604005i	$-0.793571\pi$
$47$	−22.0344	+	16.0090i	−0.468818	+	0.340616i	0.328163	+	0.944621i	$0.393571\pi$
$48$	−11.1180	−	8.07772i	−0.231626	−	0.168286i
$49$	−15.5106	−	47.7369i	−0.316544	−	0.974221i
$50$	−6.21885	+	2.02063i	−0.124377	+	0.0404125i
$51$	−12.4139	+	17.0863i	−0.243410	+	0.335025i
$52$	10.7295	+	14.7679i	0.206336	+	0.283998i
$53$	−3.54102	+	10.8981i	−0.0668117	+	0.205625i	−0.978889	−	0.204393i	$-0.934478\pi$
$53$	−3.54102	+	10.8981i	−0.0668117	+	0.205625i	0.912077	+	0.410019i	$0.134478\pi$
$54$			16.1554i			0.299175i
$55$	1.12461	−	43.9856i	0.0204475	−	0.799739i
$56$	54.0689			0.965516
$57$	−2.72542	−	0.885544i	−0.0478145	−	0.0155359i
$58$	16.7082	−	12.1392i	0.288072	−	0.209297i
$59$	1.83688	+	1.33457i	0.0311336	+	0.0226199i	0.603243	−	0.797557i	$-0.293875\pi$
$59$	1.83688	+	1.33457i	0.0311336	+	0.0226199i	−0.572110	+	0.820177i	$0.693875\pi$
$60$	5.93112	+	18.2541i	0.0988519	+	0.304235i
$61$	21.5066	−	6.98791i	0.352567	−	0.114556i	−0.127379	−	0.991854i	$-0.540656\pi$
$61$	21.5066	−	6.98791i	0.352567	−	0.114556i	0.479946	+	0.877298i	$0.340656\pi$
$62$	3.04257	−	4.18774i	0.0490737	−	0.0675442i
$63$	41.5066	+	57.1289i	0.658835	+	0.906808i
$64$	5.79431	−	17.8330i	0.0905361	−	0.278641i
$65$		−	21.0292i		−	0.323527i
$66$	−11.0410	−	0.282294i	−0.167288	−	0.00427718i
$67$	−38.4934			−0.574529			−0.287264	−	0.957851i	$-0.592746\pi$
$67$	−38.4934			−0.574529			−0.287264	+	0.957851i	$0.592746\pi$
$68$	−50.4656	−	16.3973i	−0.742141	−	0.241136i
$69$	3.09017	−	2.24514i	0.0447851	−	0.0325383i
$70$	−23.4164	−	17.0130i	−0.334520	−	0.243043i
$71$	23.5836	+	72.5828i	0.332163	+	1.02229i	0.968103	+	0.250554i	$0.0806129\pi$
$71$	23.5836	+	72.5828i	0.332163	+	1.02229i	−0.635939	+	0.771739i	$0.719387\pi$
$72$	−36.6074	+	11.8945i	−0.508436	+	0.165201i
$73$	60.4656	−	83.2237i	0.828295	−	1.14005i	−0.159943	−	0.987126i	$-0.551131\pi$
$73$	60.4656	−	83.2237i	0.828295	−	1.14005i	0.988238	−	0.152924i	$-0.0488691\pi$
$74$	−17.1885	−	23.6579i	−0.232277	−	0.319701i
$75$	−3.84346	+	11.8290i	−0.0512461	+	0.157719i
$76$		−	7.19991i		−	0.0947357i
$77$	−90.2492	+	62.1087i	−1.17207	+	0.806606i
$78$	−5.27864			−0.0676749
$79$	−3.74265	−	1.21606i	−0.0473753	−	0.0153932i	0.285233	−	0.958458i	$-0.407929\pi$
$79$	−3.74265	−	1.21606i	−0.0473753	−	0.0153932i	−0.332609	+	0.943065i	$0.607929\pi$
$80$	−32.1803	+	23.3804i	−0.402254	+	0.292255i
$81$	−26.7639	−	19.4451i	−0.330419	−	0.240063i
$82$	15.7533	+	48.4836i	0.192113	+	0.591264i
$83$	79.1697	−	25.7238i	0.953852	−	0.309925i	0.209572	−	0.977793i	$-0.432793\pi$
$83$	79.1697	−	25.7238i	0.953852	−	0.309925i	0.744280	+	0.667868i	$0.232793\pi$
$84$	28.0902	−	38.6628i	0.334407	−	0.460271i
$85$	35.9311	+	49.4549i	0.422719	+	0.581823i
$86$	5.17783	−	15.9357i	0.0602073	−	0.185299i
$87$		−	39.2833i		−	0.451533i
$88$	−16.9959	−	57.2474i	−0.193136	−	0.650539i
$89$	123.297			1.38536			0.692679	−	0.721246i	$-0.256430\pi$
$89$	123.297			1.38536			0.692679	+	0.721246i	$0.256430\pi$
$90$	19.5967	+	6.36737i	0.217742	+	0.0707485i
$91$	−42.3607	+	30.7768i	−0.465502	+	0.338207i
$92$	7.76393	+	5.64083i	0.0843906	+	0.0613133i
$93$	−3.04257	−	9.36408i	−0.0327158	−	0.100689i
$94$	18.8197	−	6.11488i	0.200209	−	0.0650519i
$95$	−4.87539	+	6.71040i	−0.0513199	+	0.0706357i
$96$	23.5081	+	32.3562i	0.244876	+	0.337043i
$97$	−23.9205	+	73.6196i	−0.246603	+	0.758965i	0.748766	+	0.662835i	$0.230647\pi$
$97$	−23.9205	+	73.6196i	−0.246603	+	0.758965i	−0.995369	+	0.0961309i	$0.969353\pi$
$98$			36.4677i			0.372119i
$99$	47.4402	−	61.9044i	0.479194	−	0.625297i
$100$	−31.2492			−0.312492
$101$	−107.159	−	34.8181i	−1.06098	−	0.344734i	−0.274012	−	0.961726i	$-0.588351\pi$
$101$	−107.159	−	34.8181i	−1.06098	−	0.344734i	−0.786969	+	0.616993i	$0.788351\pi$
$102$	12.4139	−	9.01922i	0.121705	−	0.0884238i
$103$	−74.9230	−	54.4347i	−0.727408	−	0.528493i	0.161335	−	0.986900i	$-0.448420\pi$
$103$	−74.9230	−	54.4347i	−0.727408	−	0.528493i	−0.888742	+	0.458407i	$0.848420\pi$
$104$	−8.81966	−	27.1441i	−0.0848044	−	0.261001i
$105$	−52.3607	+	17.0130i	−0.498673	+	0.162029i
$106$	4.89357	−	6.73542i	0.0461657	−	0.0635417i
$107$	−49.8607	−	68.6273i	−0.465988	−	0.641377i	0.509749	−	0.860323i	$-0.329738\pi$
$107$	−49.8607	−	68.6273i	−0.465988	−	0.641377i	−0.975737	+	0.218946i	$0.929738\pi$
$108$	−23.8582	+	73.4279i	−0.220909	+	0.679888i
$109$			94.0766i			0.863088i	0.902092	+	0.431544i	$0.142031\pi$
$109$			94.0766i			0.863088i	−0.902092	+	0.431544i	$0.857969\pi$
$110$	−10.6525	+	30.1408i	−0.0968407	+	0.274008i
$111$	−55.6231			−0.501109
$112$	94.1935	+	30.6053i	0.841013	+	0.273262i
$113$	6.87132	−	4.99231i	0.0608082	−	0.0441797i	−0.556966	−	0.830535i	$-0.688035\pi$
$113$	6.87132	−	4.99231i	0.0608082	−	0.0441797i	0.617774	+	0.786356i	$0.288035\pi$
$114$	1.68441	+	1.22379i	0.0147755	+	0.0107350i
$115$	−3.41641	−	10.5146i	−0.0297079	−	0.0914315i
$116$	93.8673	−	30.4993i	0.809200	−	0.262925i
$117$	21.9098	−	30.1563i	0.187264	−	0.257746i
$118$	−0.969623	−	1.33457i	−0.00821715	−	0.0113099i
$119$	47.0344	−	144.757i	0.395247	−	1.21645i
$120$		−	30.0098i		−	0.250082i
$121$	94.1287	+	76.0315i	0.777923	+	0.628360i
$122$	−16.4296			−0.134669
$123$	92.2214	+	29.9645i	0.749767	+	0.243614i
$124$	20.0132	−	14.5404i	0.161396	−	0.117261i
$125$	110.026	+	79.9388i	0.880210	+	0.639510i
$126$	−15.8541	−	48.7939i	−0.125826	−	0.387253i
$127$	−179.039	+	58.1734i	−1.40976	+	0.458059i	−0.912334	−	0.409448i	$-0.865721\pi$
$127$	−179.039	+	58.1734i	−1.40976	+	0.458059i	−0.497426	+	0.867506i	$0.665721\pi$
$128$	−76.0501	+	104.674i	−0.594141	+	0.817766i
$129$	−18.7336	−	25.7845i	−0.145221	−	0.199880i
$130$	−4.72136	+	14.5309i	−0.0363182	+	0.111776i
$131$		−	141.932i		−	1.08345i	−0.840556	−	0.541725i	$-0.817771\pi$
$131$		−	141.932i		−	1.08345i	0.840556	−	0.541725i	$-0.182229\pi$
$132$	−49.7655	−	17.5883i	−0.377011	−	0.133245i
$133$	20.6525			0.155282
$134$	26.5983	+	8.64231i	0.198495	+	0.0644949i
$135$	71.9574	−	52.2801i	0.533018	−	0.387260i
$136$	67.1205	+	48.7659i	0.493533	+	0.358573i
$137$	5.02380	+	15.4617i	0.0366701	+	0.112859i	0.967716	−	0.252043i	$-0.0811025\pi$
$137$	5.02380	+	15.4617i	0.0366701	+	0.112859i	−0.931046	+	0.364902i	$0.881102\pi$
$138$	−2.63932	+	0.857567i	−0.0191255	+	0.00621425i
$139$	−133.108	+	183.208i	−0.957614	+	1.31804i	−0.00955293	+	0.999954i	$0.503041\pi$
$139$	−133.108	+	183.208i	−0.957614	+	1.31804i	−0.948061	+	0.318088i	$0.896959\pi$
$140$	−81.3050	−	111.907i	−0.580750	−	0.799333i
$141$	11.6312	−	35.7971i	0.0824907	−	0.253880i
$142$		−	55.4484i		−	0.390481i
$143$	45.9017	+	35.1766i	0.320991	+	0.245990i
$144$	−70.5066			−0.489629
$145$	−108.138	−	35.1361i	−0.745778	−	0.242318i
$146$	−60.4656	+	43.9308i	−0.414148	+	0.300896i
$147$	56.1180	+	40.7721i	0.381755	+	0.277361i
$148$	−43.1854	−	132.911i	−0.291793	−	0.898047i
$149$	−63.8967	+	20.7613i	−0.428837	+	0.139338i	−0.515479	−	0.856902i	$-0.672386\pi$
$149$	−63.8967	+	20.7613i	−0.428837	+	0.139338i	0.0866427	+	0.996239i	$0.472386\pi$
$150$	5.31153	−	7.31069i	0.0354102	−	0.0487380i
$151$	59.0871	+	81.3264i	0.391305	+	0.538585i	0.958535	−	0.284974i	$-0.0919850\pi$
$151$	59.0871	+	81.3264i	0.391305	+	0.538585i	−0.567230	+	0.823559i	$0.691985\pi$
$152$	−3.47871	+	10.7064i	−0.0228863	+	0.0704367i
$153$			108.355i			0.708202i
$154$	76.3050	−	22.6538i	0.495487	−	0.147103i
$155$	−28.4984			−0.183861
$156$	−23.9919	−	7.79543i	−0.153794	−	0.0499707i
$157$	199.520	−	144.960i	1.27083	−	0.923309i	0.271591	−	0.962413i	$-0.412450\pi$
$157$	199.520	−	144.960i	1.27083	−	0.923309i	0.999235	+	0.0391033i	$0.0124502\pi$
$158$	2.31308	+	1.68055i	0.0146398	+	0.0106364i
$159$	−4.89357	−	15.0609i	−0.0307772	−	0.0947224i
$160$	110.095	−	35.7721i	0.688095	−	0.223576i
$161$	−16.1803	+	22.2703i	−0.100499	+	0.138325i
$162$	14.1277	+	19.4451i	0.0872081	+	0.120032i
$163$	53.8820	−	165.832i	0.330564	−	1.01737i	−0.638302	−	0.769786i	$-0.720363\pi$
$163$	53.8820	−	165.832i	0.330564	−	1.01737i	0.968866	−	0.247586i	$-0.0796372\pi$
$164$			243.627i			1.48553i
$165$	34.4721	+	50.0909i	0.208922	+	0.303581i
$166$	−60.4803			−0.364339
$167$	234.864	+	76.3120i	1.40637	+	0.456958i	0.911246	−	0.411863i	$-0.135122\pi$
$167$	234.864	+	76.3120i	1.40637	+	0.456958i	0.495126	+	0.868821i	$0.335122\pi$
$168$	−60.4508	+	43.9201i	−0.359826	+	0.261429i
$169$	−114.363	−	83.0897i	−0.676705	−	0.491655i
$170$	−13.7245	−	42.2396i	−0.0807321	−	0.248468i
$171$	−13.9828	+	4.54328i	−0.0817706	+	0.0265689i
$172$	47.0673	−	64.7826i	0.273647	−	0.376643i
$173$	−29.2411	−	40.2469i	−0.169024	−	0.232641i	0.716099	−	0.697999i	$-0.245926\pi$
$173$	−29.2411	−	40.2469i	−0.169024	−	0.232641i	−0.885123	+	0.465357i	$0.845926\pi$
$174$	−8.81966	+	27.1441i	−0.0506877	+	0.156001i
$175$		−	89.6363i		−	0.512208i
$176$	2.79586	−	109.351i	0.0158856	−	0.621314i
$177$	−3.13777			−0.0177275
$178$	−85.1960	−	27.6819i	−0.478629	−	0.155516i
$179$	−177.134	+	128.695i	−0.989574	+	0.718967i	−0.959828	−	0.280590i	$-0.909470\pi$
$179$	−177.134	+	128.695i	−0.989574	+	0.718967i	−0.0297461	+	0.999557i	$0.509470\pi$
$180$	79.6656	+	57.8805i	0.442587	+	0.321558i
$181$	12.0213	+	36.9977i	0.0664159	+	0.204407i	0.978757	−	0.205024i	$-0.0657272\pi$
$181$	12.0213	+	36.9977i	0.0664159	+	0.204407i	−0.912341	+	0.409431i	$0.865727\pi$
$182$	36.1803	−	11.7557i	0.198793	−	0.0645918i
$183$	−18.3688	+	25.2825i	−0.100376	+	0.138156i
$184$	−8.81966	−	12.1392i	−0.0479329	−	0.0659740i
$185$	−49.7508	+	153.117i	−0.268923	+	0.827660i
$186$			7.15352i			0.0384598i
$187$	−168.052	−	4.29670i	−0.898672	−	0.0229770i
$188$	94.5673			0.503018
$189$	−210.623	−	68.4356i	−1.11441	−	0.362093i
$190$	4.87539	−	3.54218i	0.0256599	−	0.0186430i
$191$	−96.9230	−	70.4187i	−0.507450	−	0.368684i	0.304405	−	0.952543i	$-0.401542\pi$
$191$	−96.9230	−	70.4187i	−0.507450	−	0.368684i	−0.811855	+	0.583858i	$0.801542\pi$
$192$	8.00754	+	24.6447i	0.0417059	+	0.128358i
$193$	27.7933	−	9.03061i	0.144007	−	0.0467907i	−0.236127	−	0.971722i	$-0.575878\pi$
$193$	27.7933	−	9.03061i	0.144007	−	0.0467907i	0.380134	+	0.924932i	$0.375878\pi$
$194$	33.0573	−	45.4994i	0.170398	−	0.234533i
$195$	17.0820	+	23.5114i	0.0876002	+	0.120571i
$196$	−53.8551	+	165.749i	−0.274771	+	0.845657i
$197$		−	282.037i		−	1.43166i	−0.698275	−	0.715830i	$-0.746049\pi$
$197$		−	282.037i		−	1.43166i	0.698275	−	0.715830i	$-0.253951\pi$
$198$	−46.6788	+	32.1239i	−0.235751	+	0.162242i
$199$	177.469			0.891804			0.445902	−	0.895082i	$-0.352883\pi$
$199$	177.469			0.891804			0.445902	+	0.895082i	$0.352883\pi$
$200$	46.4681	+	15.0984i	0.232340	+	0.0754920i
$201$	43.0370	−	31.2682i	0.214114	−	0.155563i
$202$	66.2279	+	48.1174i	0.327861	+	0.238205i
$203$	87.4853	+	269.252i	0.430962	+	1.32636i
$204$	69.7417	−	22.6604i	0.341871	−	0.111081i
$205$	164.971	−	227.063i	0.804735	−	1.10762i
$206$	39.5492	+	54.4347i	0.191986	+	0.264246i
$207$	6.05573	−	18.6376i	0.0292547	−	0.0900368i
$208$		−	52.2801i		−	0.251347i
$209$	−6.49187	−	21.8666i	−0.0310616	−	0.104625i
$210$	40.0000			0.190476
$211$	93.5354	+	30.3915i	0.443296	+	0.144036i	0.522156	−	0.852850i	$-0.325128\pi$
$211$	93.5354	+	30.3915i	0.443296	+	0.144036i	−0.0788599	+	0.996886i	$0.525128\pi$
$212$	32.1885	−	23.3863i	0.151832	−	0.110313i
$213$	−85.3262	−	61.9931i	−0.400593	−	0.291048i
$214$	19.0451	+	58.6147i	0.0889957	+	0.273901i
$215$	−87.7345	+	28.5067i	−0.408068	+	0.132589i
$216$	70.9549	−	97.6611i	0.328495	−	0.452135i
$217$	41.7082	+	57.4064i	0.192204	+	0.264546i
$218$	21.1215	−	65.0053i	0.0968876	−	0.298190i
$219$			142.163i			0.649146i
$220$	−92.9280	+	121.261i	−0.422400	+	0.551187i
$221$	−80.3444			−0.363549
$222$	38.4346	+	12.4882i	0.173129	+	0.0562529i
$223$	−215.220	+	156.366i	−0.965111	+	0.701194i	−0.954332	−	0.298748i	$-0.903431\pi$
$223$	−215.220	+	156.366i	−0.965111	+	0.701194i	−0.0107791	+	0.999942i	$0.503431\pi$
$224$	−233.185	−	169.419i	−1.04101	−	0.756335i
$225$	19.7188	+	60.6884i	0.0876393	+	0.269726i
$226$	−5.86881	+	1.90689i	−0.0259682	+	0.00843758i
$227$	149.606	−	205.915i	0.659057	−	0.907114i	−0.340393	−	0.940283i	$-0.610560\pi$
$227$	149.606	−	205.915i	0.659057	−	0.907114i	0.999450	+	0.0331697i	$0.0105602\pi$
$228$	5.84848	+	8.04975i	0.0256512	+	0.0353059i
$229$	−12.4245	+	38.2388i	−0.0542556	+	0.166982i	−0.974513	−	0.224333i	$-0.927980\pi$
$229$	−12.4245	+	38.2388i	−0.0542556	+	0.166982i	0.920257	+	0.391315i	$0.127980\pi$
$230$			8.03246i			0.0349237i
$231$	50.4508	−	142.749i	0.218402	−	0.617961i
$232$	−154.318			−0.665164
$233$	−219.639	−	71.3649i	−0.942655	−	0.306287i	−0.202928	−	0.979194i	$-0.565046\pi$
$233$	−219.639	−	71.3649i	−0.942655	−	0.306287i	−0.739728	+	0.672906i	$0.765046\pi$
$234$	−21.9098	+	15.9184i	−0.0936318	+	0.0680275i
$235$	−88.1378	−	64.0358i	−0.375054	−	0.272493i
$236$	−2.43614	−	7.49767i	−0.0103226	−	0.0317698i
$237$	5.17221	−	1.68055i	0.0218237	−	0.00709094i
$238$	−65.0000	+	89.4648i	−0.273109	+	0.375903i
$239$	185.249	+	254.974i	0.775101	+	1.06684i	0.995806	+	0.0914947i	$0.0291645\pi$
$239$	185.249	+	254.974i	0.775101	+	1.06684i	−0.220704	+	0.975341i	$0.570836\pi$
$240$	16.9868	−	52.2801i	0.0707785	−	0.217834i
$241$			270.933i			1.12420i	0.827069	+	0.562101i	$0.190007\pi$
$241$			270.933i			1.12420i	−0.827069	+	0.562101i	$0.809993\pi$
$242$	−47.9712	−	73.6697i	−0.198228	−	0.304420i
$243$	245.843			1.01170
$244$	−74.6738	−	24.2630i	−0.306040	−	0.0994384i
$245$	162.430	−	118.012i	0.662978	−	0.481682i
$246$	−56.9959	−	41.4100i	−0.231691	−	0.168333i
$247$	−3.36881	−	10.3681i	−0.0136389	−	0.0419762i
$248$	−36.7852	+	11.9522i	−0.148327	+	0.0481945i
$249$	−67.6190	+	93.0696i	−0.271562	+	0.373773i
$250$	−58.0789	−	79.9388i	−0.232316	−	0.319755i
$251$	3.44080	−	10.5897i	0.0137084	−	0.0421900i	−0.943968	−	0.330036i	$-0.892939\pi$
$251$	3.44080	−	10.5897i	0.0137084	−	0.0421900i	0.957677	+	0.287846i	$0.0929391\pi$
$252$		−	245.186i		−	0.972959i
$253$	28.6656	+	10.1311i	0.113303	+	0.0400439i
$254$	136.774			0.538480
$255$	−80.3444	−	26.1055i	−0.315076	−	0.102374i
$256$	15.3713	−	11.1679i	0.0600442	−	0.0436247i
$257$	326.261	+	237.042i	1.26950	+	0.922344i	0.999182	−	0.0404281i	$-0.0128722\pi$
$257$	326.261	+	237.042i	1.26950	+	0.922344i	0.270315	+	0.962772i	$0.412872\pi$
$258$	7.15558	+	22.0226i	0.0277348	+	0.0853590i
$259$	381.246	−	123.874i	1.47199	−	0.478279i
$260$	−42.9180	+	59.0715i	−0.165069	+	0.227198i
$261$	−118.464	−	163.052i	−0.453885	−	0.624719i
$262$	−31.8657	+	98.0726i	−0.121625	+	0.374323i
$263$			42.6636i			0.162219i	0.996705	+	0.0811094i	$0.0258463\pi$
$263$			42.6636i			0.162219i	−0.996705	+	0.0811094i	$0.974154\pi$
$264$	65.5041	+	50.1988i	0.248121	+	0.190147i
$265$	−45.8359			−0.172966
$266$	−14.2705	−	4.63677i	−0.0536485	−	0.0174315i
$267$	−137.850	+	100.154i	−0.516292	+	0.375108i
$268$	108.129	+	78.5601i	0.403465	+	0.293135i
$269$	−126.695	−	389.927i	−0.470985	−	1.44954i	−0.851296	−	0.524685i	$-0.824183\pi$
$269$	−126.695	−	389.927i	−0.470985	−	1.44954i	0.380311	−	0.924859i	$-0.375817\pi$
$270$	−61.4590	+	19.9692i	−0.227626	+	0.0739601i
$271$	−136.400	+	187.739i	−0.503322	+	0.692763i	−0.982775	−	0.184804i	$-0.940835\pi$
$271$	−136.400	+	187.739i	−0.503322	+	0.692763i	0.479454	+	0.877567i	$0.340835\pi$
$272$	89.3272	+	122.948i	0.328409	+	0.452016i
$273$	22.3607	−	68.8191i	0.0819073	−	0.252085i
$274$		−	11.8117i		−	0.0431082i
$275$	−94.9058	+	28.1762i	−0.345112	+	0.102459i
$276$	−13.2624			−0.0480521
$277$	291.305	+	94.6507i	1.05164	+	0.341699i	0.783313	−	0.621628i	$-0.213528\pi$
$277$	291.305	+	94.6507i	1.05164	+	0.341699i	0.268330	+	0.963327i	$0.413528\pi$
$278$	133.108	−	96.7089i	0.478807	−	0.347874i
$279$	−40.8673	−	29.6918i	−0.146478	−	0.106422i
$280$	66.8328	+	205.690i	0.238689	+	0.734608i
$281$	−123.114	+	40.0022i	−0.438128	+	0.142356i	−0.519772	−	0.854305i	$-0.673983\pi$
$281$	−123.114	+	40.0022i	−0.438128	+	0.142356i	0.0816438	+	0.996662i	$0.473983\pi$
$282$	−16.0739	+	22.1238i	−0.0569997	+	0.0784533i
$283$	−247.984	−	341.320i	−0.876268	−	1.20608i	−0.977441	−	0.211210i	$-0.932260\pi$
$283$	−247.984	−	341.320i	−0.876268	−	1.20608i	0.101173	−	0.994869i	$-0.467740\pi$
$284$	81.8854	−	252.017i	0.288329	−	0.887385i
$285$		−	11.4627i		−	0.0402201i
$286$	−23.8197	−	34.6120i	−0.0832855	−	0.121021i
$287$	−698.827			−2.43494
$288$	195.148	+	63.4076i	0.677599	+	0.220165i
$289$	−44.8582	+	32.5914i	−0.155219	+	0.112773i
$290$	66.8328	+	48.5569i	0.230458	+	0.167438i
$291$	−33.0573	−	101.740i	−0.113599	−	0.349621i
$292$	−339.698	+	110.374i	−1.16335	+	0.377995i
$293$	−37.8998	+	52.1646i	−0.129351	+	0.178036i	−0.868780	−	0.495198i	$-0.835095\pi$
$293$	−37.8998	+	52.1646i	−0.129351	+	0.178036i	0.739429	+	0.673234i	$0.235095\pi$
$294$	−29.6227	−	40.7721i	−0.100757	−	0.138681i
$295$	−2.80650	+	8.63753i	−0.00951357	+	0.0292798i
$296$			218.506i			0.738196i
$297$	−6.25174	+	244.517i	−0.0210496	+	0.823289i
$298$	48.8127			0.163801
$299$	13.8197	+	4.49028i	0.0462196	+	0.0150177i
$300$	34.9377	−	25.3837i	0.116459	−	0.0846124i
$301$	185.825	+	135.010i	0.617358	+	0.448537i
$302$	−22.5693	−	69.4610i	−0.0747326	−	0.230003i
$303$	148.090	−	48.1174i	0.488746	−	0.158803i
$304$	−12.1205	+	16.6825i	−0.0398702	+	0.0548766i
$305$	53.1672	+	73.1784i	0.174319	+	0.239929i
$306$	24.3272	−	74.8714i	0.0795006	−	0.244678i
$307$		−	356.512i		−	1.16128i	−0.814161	−	0.580639i	$-0.802803\pi$
$307$		−	356.512i		−	1.16128i	0.814161	−	0.580639i	$-0.197197\pi$
$308$	380.267	+	9.72257i	1.23463	+	0.0315668i
$309$	127.984			0.414187
$310$	19.6919	+	6.39830i	0.0635224	+	0.0206397i
$311$	449.177	−	326.346i	1.44430	−	1.04935i	0.457178	−	0.889375i	$-0.348860\pi$
$311$	449.177	−	326.346i	1.44430	−	1.04935i	0.987122	−	0.159970i	$-0.0511397\pi$
$312$	31.9098	+	23.1838i	0.102275	+	0.0743072i
$313$	−102.405	−	315.170i	−0.327172	−	1.00693i	−0.970451	−	0.241300i	$-0.922426\pi$
$313$	−102.405	−	315.170i	−0.327172	−	1.00693i	0.643279	−	0.765632i	$-0.277574\pi$
$314$	−170.410	+	55.3696i	−0.542708	+	0.176336i
$315$	−166.026	+	228.516i	−0.527068	+	0.725446i
$316$	8.03134	+	11.0542i	0.0254156	+	0.0349816i
$317$	−159.740	+	491.628i	−0.503910	+	1.55088i	0.298685	+	0.954352i	$0.403452\pi$
$317$	−159.740	+	491.628i	−0.503910	+	1.55088i	−0.802595	+	0.596524i	$0.796548\pi$
$318$			11.5055i			0.0361807i
$319$	257.580	−	177.265i	0.807462	−	0.555688i
$320$	75.0031			0.234385
$321$	111.492	+	36.2259i	0.347327	+	0.112853i
$322$	16.1803	−	11.7557i	0.0502495	−	0.0365084i
$323$	25.6378	+	18.6269i	0.0793739	+	0.0576685i
$324$	35.4953	+	109.243i	0.109554	+	0.337171i
$325$	−45.0000	+	14.6214i	−0.138462	+	0.0449889i
$326$	−74.4630	+	102.490i	−0.228414	+	0.314385i
$327$	−76.4183	−	105.181i	−0.233695	−	0.321654i
$328$	117.711	−	362.276i	0.358874	−	1.10450i
$329$			271.260i			0.824499i
$330$	−12.5735	−	42.3515i	−0.0381016	−	0.128338i
$331$	208.884			0.631068			0.315534	−	0.948914i	$-0.397816\pi$
$331$	208.884			0.631068			0.315534	+	0.948914i	$0.397816\pi$
$332$	−274.888	−	89.3165i	−0.827976	−	0.269026i
$333$	−230.872	+	167.739i	−0.693310	+	0.503719i
$334$	−145.154	−	105.461i	−0.434593	−	0.315750i
$335$	−47.5805	−	146.438i	−0.142031	−	0.437127i
$336$	−130.172	+	42.2955i	−0.387417	+	0.125880i
$337$	−79.3090	+	109.159i	−0.235338	+	0.323915i	−0.910309	−	0.413929i	$-0.864156\pi$
$337$	−79.3090	+	109.159i	−0.235338	+	0.323915i	0.674971	+	0.737844i	$0.264156\pi$
$338$	60.3682	+	83.0897i	0.178604	+	0.245828i
$339$	−3.62712	+	11.1631i	−0.0106995	+	0.0329296i
$340$		−	212.251i		−	0.624266i
$341$	47.6707	−	62.2051i	0.139797	−	0.182420i
$342$	10.6819			0.0312336
$343$	−11.3050	−	3.67320i	−0.0329590	−	0.0107090i
$344$	−101.290	+	73.5917i	−0.294448	+	0.213929i
$345$	12.3607	+	8.98056i	0.0358281	+	0.0260306i
$346$	11.1691	+	34.3750i	0.0322806	+	0.0993496i
$347$	−90.1393	+	29.2880i	−0.259767	+	0.0844036i	−0.436005	−	0.899944i	$-0.643607\pi$
$347$	−90.1393	+	29.2880i	−0.259767	+	0.0844036i	0.176238	+	0.984348i	$0.443607\pi$
$348$	−80.1722	+	110.348i	−0.230380	+	0.317091i
$349$	−100.997	−	139.010i	−0.289389	−	0.398310i	0.639426	−	0.768852i	$-0.279172\pi$
$349$	−100.997	−	139.010i	−0.289389	−	0.398310i	−0.928816	+	0.370542i	$0.879172\pi$
$350$	−20.1246	+	61.9372i	−0.0574989	+	0.176963i
$351$			116.902i			0.333054i
$352$	−106.080	+	300.149i	−0.301362	+	0.852695i
$353$	−119.644			−0.338936			−0.169468	−	0.985536i	$-0.554205\pi$
$353$	−119.644			−0.338936			−0.169468	+	0.985536i	$0.554205\pi$
$354$	2.16814	+	0.704473i	0.00612470	+	0.00199004i
$355$	−246.971	+	179.435i	−0.695692	+	0.505450i
$356$	−346.343	−	251.633i	−0.972873	−	0.706834i
$357$	65.0000	+	200.049i	0.182073	+	0.560363i
$358$	151.290	−	49.1572i	0.422598	−	0.137311i
$359$	274.681	−	378.066i	0.765127	−	1.05311i	−0.231643	−	0.972801i	$-0.574410\pi$
$359$	274.681	−	378.066i	0.765127	−	1.05311i	0.996770	−	0.0803065i	$-0.0255899\pi$
$360$	−90.4984	−	124.560i	−0.251385	−	0.346001i
$361$	110.226	−	339.242i	0.305336	−	0.939728i
$362$		−	28.2637i		−	0.0780766i
$363$	−166.999	−	8.54517i	−0.460053	−	0.0235404i
$364$	181.803			0.499460
$365$	391.341	+	127.155i	1.07217	+	0.348368i
$366$	18.3688	−	13.3457i	0.0501880	−	0.0364637i
$367$	266.026	+	193.279i	0.724867	+	0.526647i	0.887936	−	0.459968i	$-0.152139\pi$
$367$	266.026	+	193.279i	0.724867	+	0.526647i	−0.163068	+	0.986615i	$0.552139\pi$
$368$	−8.49342	−	26.1401i	−0.0230800	−	0.0710328i
$369$	473.141	−	153.733i	1.28223	−	0.416620i
$370$	68.7539	−	94.6316i	0.185821	−	0.255761i
$371$	67.0820	+	92.3305i	0.180814	+	0.248869i
$372$	−10.5642	+	32.5133i	−0.0283985	+	0.0874015i
$373$			214.135i			0.574088i	0.957917	+	0.287044i	$0.0926726\pi$
$373$			214.135i			0.574088i	−0.957917	+	0.287044i	$0.907327\pi$
$374$	115.156	+	40.6989i	0.307904	+	0.108821i
$375$	−187.947			−0.501193
$376$	−140.623	−	45.6912i	−0.373997	−	0.121519i
$377$	120.902	−	87.8402i	0.320694	−	0.232998i
$378$	130.172	+	94.5756i	0.344371	+	0.250200i
$379$	98.9630	+	304.577i	0.261116	+	0.803633i	0.992563	+	0.121734i	$0.0388456\pi$
$379$	98.9630	+	304.577i	0.261116	+	0.803633i	−0.731447	+	0.681899i	$0.761154\pi$
$380$	27.3901	−	8.89958i	0.0720792	−	0.0234200i
$381$	152.918	−	210.474i	0.401359	−	0.552424i
$382$	51.1622	+	70.4187i	0.133932	+	0.184342i
$383$	−169.205	+	520.759i	−0.441788	+	1.35968i	0.444181	+	0.895937i	$0.353495\pi$
$383$	−169.205	+	520.759i	−0.441788	+	1.35968i	−0.885968	+	0.463746i	$0.846505\pi$
$384$		−	178.805i		−	0.465637i
$385$	−347.830	−	266.558i	−0.903454	−	0.692358i
$386$	−21.2322			−0.0550058
$387$	−155.513	−	50.5293i	−0.401843	−	0.130567i
$388$	217.441	−	157.980i	0.560415	−	0.407166i
$389$	−272.259	−	197.808i	−0.699895	−	0.508504i	0.180003	−	0.983666i	$-0.442389\pi$
$389$	−272.259	−	197.808i	−0.699895	−	0.508504i	−0.879898	+	0.475162i	$0.842389\pi$
$390$	−6.52476	−	20.0811i	−0.0167301	−	0.0514901i
$391$	−40.1722	+	13.0527i	−0.102742	+	0.0333830i
$392$	160.167	−	220.450i	0.408588	−	0.562373i
$393$	115.291	+	158.685i	0.293362	+	0.403778i
$394$	−63.3212	+	194.883i	−0.160714	+	0.494626i
$395$		−	15.7410i		−	0.0398506i
$396$	−259.599	+	77.0713i	−0.655554	+	0.194624i
$397$	115.374			0.290614			0.145307	−	0.989387i	$-0.453583\pi$
$397$	115.374			0.290614			0.145307	+	0.989387i	$0.453583\pi$
$398$	−122.628	−	39.8443i	−0.308111	−	0.100111i
$399$	−23.0902	+	16.7760i	−0.0578701	+	0.0420451i
$400$	72.4058	+	52.6059i	0.181014	+	0.131515i
$401$	19.7138	+	60.6729i	0.0491617	+	0.151304i	0.972624	−	0.232386i	$-0.0746532\pi$
$401$	19.7138	+	60.6729i	0.0491617	+	0.151304i	−0.923462	+	0.383690i	$0.874653\pi$
$402$	−36.7579	+	11.9434i	−0.0914377	+	0.0297099i
$403$	22.0163	−	30.3028i	0.0546309	−	0.0751930i
$404$	229.952	+	316.502i	0.569189	+	0.783422i
$405$	40.8916	−	125.852i	0.100967	−	0.310745i
$406$		−	205.690i		−	0.506626i
$407$	−250.997	−	364.720i	−0.616700	−	0.896118i
$408$	−114.656			−0.281019
$409$	−581.745	−	189.020i	−1.42236	−	0.462152i	−0.506008	−	0.862529i	$-0.668879\pi$
$409$	−581.745	−	189.020i	−1.42236	−	0.462152i	−0.916351	+	0.400377i	$0.868879\pi$
$410$	−164.971	+	119.858i	−0.402367	+	0.292337i
$411$	−18.1763	−	13.2058i	−0.0442245	−	0.0321310i
$412$	99.3657	+	305.816i	0.241179	+	0.742272i
$413$	21.5066	−	6.98791i	0.0520740	−	0.0169199i
$414$	−8.36881	+	11.5187i	−0.0202145	+	0.0278229i
$415$	195.718	+	269.383i	0.471610	+	0.649116i
$416$	−47.0163	+	144.701i	−0.113020	+	0.347839i
$417$		−	312.957i		−	0.750495i
$418$	−0.423579	+	16.5669i	−0.00101335	+	0.0396338i
$419$	146.156			0.348821			0.174410	−	0.984673i	$-0.444198\pi$
$419$	146.156			0.348821			0.174410	+	0.984673i	$0.444198\pi$
$420$	181.803	+	59.0715i	0.432865	+	0.140646i
$421$	−480.079	+	348.798i	−1.14033	+	0.828498i	−0.987165	−	0.159702i	$-0.948947\pi$
$421$	−480.079	+	348.798i	−1.14033	+	0.828498i	−0.153165	+	0.988201i	$0.548947\pi$
$422$	−57.8081	−	42.0000i	−0.136986	−	0.0995261i
$423$	−59.6738	−	183.657i	−0.141073	−	0.434177i
$424$	−59.1641	+	19.2236i	−0.139538	+	0.0453386i
$425$	80.8450	−	111.274i	0.190224	−	0.261820i
$426$	45.0407	+	61.9931i	0.105729	+	0.145524i
$427$	69.5967	−	214.197i	0.162990	−	0.501632i
$428$			294.535i			0.688165i
$429$	−79.8936	−	2.04270i	−0.186232	−	0.00476153i
$430$	67.0232			0.155868
$431$	165.807	+	53.8738i	0.384702	+	0.124997i	0.494982	−	0.868903i	$-0.335175\pi$
$431$	165.807	+	53.8738i	0.384702	+	0.124997i	−0.110280	+	0.993901i	$0.535175\pi$
$432$	178.891	−	129.972i	0.414100	−	0.300861i
$433$	−502.109	−	364.804i	−1.15961	−	0.842503i	−0.169878	−	0.985465i	$-0.554337\pi$
$433$	−502.109	−	364.804i	−1.15961	−	0.842503i	−0.989728	+	0.142962i	$0.954337\pi$
$434$	−15.9311	−	49.0309i	−0.0367076	−	0.112975i
$435$	149.443	−	48.5569i	0.343546	−	0.111625i
$436$	191.998	−	264.263i	0.440363	−	0.606107i
$437$	−3.36881	−	4.63677i	−0.00770895	−	0.0106105i
$438$	31.9176	−	98.2323i	0.0728712	−	0.224275i
$439$			676.778i			1.54164i	0.637055	+	0.770818i	$0.280152\pi$
$439$			676.778i			1.54164i	−0.637055	+	0.770818i	$0.719848\pi$
$440$	196.774	−	135.418i	0.447214	−	0.307768i
$441$	355.880			0.806985
$442$	55.5166	+	18.0384i	0.125603	+	0.0408110i
$443$	209.784	−	152.417i	0.473552	−	0.344056i	−0.325272	−	0.945621i	$-0.605456\pi$
$443$	209.784	−	152.417i	0.473552	−	0.344056i	0.798824	+	0.601565i	$0.205456\pi$
$444$	156.246	+	113.519i	0.351906	+	0.255674i
$445$	152.403	+	469.049i	0.342479	+	1.05404i
$446$	183.820	−	59.7266i	0.412152	−	0.133916i
$447$	54.5743	−	75.1150i	0.122090	−	0.168043i
$448$	−109.769	−	151.084i	−0.245020	−	0.337241i
$449$	124.349	−	382.707i	0.276947	−	0.852354i	−0.711751	−	0.702432i	$-0.752098\pi$
$449$	124.349	−	382.707i	0.276947	−	0.852354i	0.988698	−	0.149923i	$-0.0479024\pi$
$450$		−	46.3618i		−	0.103026i
$451$	219.668	+	739.908i	0.487069	+	1.64059i
$452$	−29.4903			−0.0652441
$453$	−132.123	−	42.9293i	−0.291662	−	0.0947666i
$454$	−149.606	+	108.695i	−0.329528	+	0.239416i
$455$	−169.443	−	123.107i	−0.372402	−	0.270566i
$456$	−4.80746	−	14.7959i	−0.0105427	−	0.0324470i
$457$	243.209	−	79.0234i	0.532186	−	0.172918i	−0.0305823	−	0.999532i	$-0.509736\pi$
$457$	243.209	−	79.0234i	0.532186	−	0.172918i	0.562769	+	0.826614i	$0.309736\pi$
$458$	17.1703	−	23.6329i	0.0374897	−	0.0516002i
$459$	−199.742	−	274.921i	−0.435167	−	0.598956i
$460$	−11.8622	+	36.5082i	−0.0257875	+	0.0793656i
$461$		−	446.274i		−	0.968056i	−0.875053	−	0.484028i	$-0.839173\pi$
$461$		−	446.274i		−	0.968056i	0.875053	−	0.484028i	$-0.160827\pi$
$462$	−66.9098	+	87.3102i	−0.144826	+	0.188983i
$463$	73.1308			0.157950			0.0789750	−	0.996877i	$-0.474835\pi$
$463$	73.1308			0.157950			0.0789750	+	0.996877i	$0.474835\pi$
$464$	−268.838	−	87.3507i	−0.579392	−	0.188256i
$465$	31.8622	−	23.1493i	0.0685209	−	0.0497834i
$466$	135.744	+	98.6239i	0.291297	+	0.211639i
$467$	3.43459	+	10.5706i	0.00735458	+	0.0226351i	0.954666	−	0.297678i	$-0.0962120\pi$
$467$	3.43459	+	10.5706i	0.00735458	+	0.0226351i	−0.947312	+	0.320313i	$0.896212\pi$
$468$	−123.090	+	39.9944i	−0.263013	+	0.0854582i
$469$	−225.344	+	310.160i	−0.480479	+	0.661322i
$470$	46.5248	+	64.0358i	0.0989888	+	0.136246i
$471$	−105.319	+	324.139i	−0.223608	+	0.688194i
$472$			12.3262i			0.0261148i
$473$	84.5344	−	239.187i	0.178720	−	0.505682i
$474$	−3.95122			−0.00833590
$475$	17.7492	+	5.76707i	0.0373668	+	0.0121412i
$476$	−427.551	+	310.634i	−0.898217	+	0.652593i
$477$	−65.7295	−	47.7553i	−0.137798	−	0.100116i
$478$	−70.7589	−	217.774i	−0.148031	−	0.455593i
$479$	−545.546	+	177.259i	−1.13893	+	0.370060i	−0.816962	−	0.576692i	$-0.804343\pi$
$479$	−545.546	+	177.259i	−1.13893	+	0.370060i	−0.321965	+	0.946752i	$0.604343\pi$
$480$	−94.0325	+	129.425i	−0.195901	+	0.269635i
$481$	−124.377	−	171.190i	−0.258580	−	0.355905i
$482$	60.8282	−	187.210i	0.126199	−	0.388402i
$483$		−	38.0423i		−	0.0787624i
$484$	−109.239	−	405.678i	−0.225700	−	0.838178i
$485$	−309.633			−0.638419
$486$	−169.873	−	55.1952i	−0.349533	−	0.113570i
$487$	510.363	−	370.800i	1.04797	−	0.761397i	0.0761466	−	0.997097i	$-0.475738\pi$
$487$	510.363	−	370.800i	1.04797	−	0.761397i	0.971826	+	0.235700i	$0.0757383\pi$
$488$	99.3181	+	72.1588i	0.203521	+	0.147866i
$489$	74.4630	+	229.174i	0.152276	+	0.468658i
$490$	−138.731	+	45.0766i	−0.283125	+	0.0919930i
$491$	−256.297	+	352.763i	−0.521990	+	0.718458i	−0.985883	−	0.167433i	$-0.946452\pi$
$491$	−256.297	+	352.763i	−0.521990	+	0.718458i	0.463893	+	0.885891i	$0.346452\pi$
$492$	−197.898	−	272.383i	−0.402231	−	0.553623i
$493$	−134.241	+	413.152i	−0.272294	+	0.838036i
$494$			7.92055i			0.0160335i
$495$	294.138	+	103.955i	0.594218	+	0.210010i
$496$	−70.8491			−0.142841
$497$	722.895	+	234.883i	1.45452	+	0.472602i
$498$	67.6190	−	49.1281i	0.135781	−	0.0986508i
$499$	376.446	+	273.504i	0.754401	+	0.548105i	0.897188	−	0.441649i	$-0.145606\pi$
$499$	376.446	+	273.504i	0.754401	+	0.548105i	−0.142787	+	0.989753i	$0.545606\pi$
$500$	−145.921	−	449.099i	−0.291842	−	0.898198i
$501$	−324.574	+	105.461i	−0.647853	+	0.210500i
$502$	−4.75507	+	6.54479i	−0.00947225	+	0.0130374i
$503$	270.059	+	371.704i	0.536896	+	0.738974i	0.988162	−	0.153415i	$-0.0490273\pi$
$503$	270.059	+	371.704i	0.536896	+	0.738974i	−0.451265	+	0.892390i	$0.649027\pi$
$504$	−118.464	+	364.595i	−0.235048	+	0.723402i
$505$		−	450.695i		−	0.892465i
$506$	−17.5329	−	13.4363i	−0.0346500	−	0.0265539i
$507$	195.356			0.385317
$508$	621.649	+	201.986i	1.22372	+	0.397610i
$509$	194.705	−	141.462i	0.382525	−	0.277920i	−0.379861	−	0.925044i	$-0.624028\pi$
$509$	194.705	−	141.462i	0.382525	−	0.277920i	0.762385	+	0.647123i	$0.224028\pi$
$510$	49.6556	+	36.0769i	0.0973639	+	0.0707390i
$511$	−316.602	−	974.400i	−0.619573	−	1.90685i
$512$	479.078	−	155.662i	0.935699	−	0.304027i
$513$	27.1024	−	37.3032i	0.0528311	−	0.0727158i
$514$	−172.221	−	237.042i	−0.335061	−	0.461172i
$515$	114.472	−	352.309i	0.222276	−	0.684095i
$516$			110.662i			0.214461i
$517$	287.207	−	85.2675i	0.555525	−	0.164928i
$518$	−291.246			−0.562251
$519$	65.3851	+	21.2449i	0.125983	+	0.0409343i
$520$	92.3607	−	67.1040i	0.177617	−	0.129046i
$521$	564.504	+	410.136i	1.08350	+	0.787210i	0.978290	−	0.207240i	$-0.0664480\pi$
$521$	564.504	+	410.136i	1.08350	+	0.787210i	0.105212	+	0.994450i	$0.466448\pi$
$522$	45.2492	+	139.263i	0.0866843	+	0.266787i
$523$	−353.526	+	114.868i	−0.675959	+	0.219632i	−0.626825	−	0.779160i	$-0.715646\pi$
$523$	−353.526	+	114.868i	−0.675959	+	0.219632i	−0.0491334	+	0.998792i	$0.515646\pi$
$524$	−289.665	+	398.689i	−0.552795	+	0.760857i
$525$	72.8115	+	100.216i	0.138689	+	0.190889i
$526$	9.57857	−	29.4798i	0.0182102	−	0.0560452i
$527$			108.881i			0.206606i
$528$	85.7001	+	124.529i	0.162311	+	0.235851i
$529$	−521.361			−0.985559
$530$	31.6718	+	10.2908i	0.0597582	+	0.0194166i
$531$	−13.0238	+	9.46234i	−0.0245269	+	0.0178199i
$532$	−58.0132	−	42.1490i	−0.109047	−	0.0792275i
$533$	113.992	+	350.831i	0.213868	+	0.658219i
$534$	117.738	−	38.2554i	0.220483	−	0.0716393i
$535$	199.443	−	274.509i	0.372790	−	0.513102i
$536$	−122.832	−	169.064i	−0.229164	−	0.315417i
$537$	93.5025	−	287.771i	0.174120	−	0.535887i
$538$			297.878i			0.553676i
$539$	−14.1120	+	551.948i	−0.0261819	+	1.02402i
$540$	−308.827			−0.571901
$541$	−64.3657	−	20.9137i	−0.118975	−	0.0386575i	0.248924	−	0.968523i	$-0.419923\pi$
$541$	−64.3657	−	20.9137i	−0.118975	−	0.0386575i	−0.367900	+	0.929866i	$0.619923\pi$
$542$	136.400	−	99.1005i	0.251661	−	0.182842i
$543$	−43.4934	−	31.5998i	−0.0800984	−	0.0581949i
$544$	−136.671	−	420.630i	−0.251233	−	0.773217i
$545$	−357.889	+	116.285i	−0.656676	+	0.213367i
$546$	−30.9017	+	42.5325i	−0.0565965	+	0.0778984i
$547$	−436.380	−	600.625i	−0.797769	−	1.09804i	−0.993097	−	0.117297i	$-0.962577\pi$
$547$	−436.380	−	600.625i	−0.797769	−	1.09804i	0.195328	−	0.980738i	$-0.437423\pi$
$548$	17.4433	−	53.6850i	0.0318309	−	0.0979653i
$549$			160.333i			0.292045i
$550$	71.9042	+	1.83843i	0.130735	+	0.00334259i
$551$	−58.9443			−0.106977
$552$	19.7214	+	6.40786i	0.0357271	+	0.0116084i
$553$	−31.7082	+	23.0374i	−0.0573385	+	0.0416589i
$554$	−180.036	−	130.804i	−0.324975	−	0.236108i
$555$	−68.7539	−	211.603i	−0.123881	−	0.381266i
$556$	747.807	−	242.977i	1.34498	−	0.437010i
$557$	−441.323	+	607.429i	−0.792322	+	1.09054i	0.201494	+	0.979490i	$0.435421\pi$
$557$	−441.323	+	607.429i	−0.792322	+	1.09054i	−0.993815	+	0.111047i	$0.964579\pi$
$558$	21.5724	+	29.6918i	0.0386601	+	0.0532111i
$559$	37.4671	−	115.312i	0.0670252	−	0.206282i
$560$			396.164i			0.707435i
$561$	191.378	−	131.704i	0.341137	−	0.234767i
$562$	94.0507			0.167350
$563$	−991.673	−	322.214i	−1.76141	−	0.572316i	−0.764064	−	0.645140i	$-0.776799\pi$
$563$	−991.673	−	322.214i	−1.76141	−	0.572316i	−0.997345	+	0.0728240i	$0.976799\pi$
$564$	−105.729	+	76.8170i	−0.187464	+	0.136200i
$565$	27.4853	+	19.9692i	0.0486465	+	0.0353438i
$566$	94.7214	+	291.522i	0.167352	+	0.515057i
$567$	−313.358	+	101.816i	−0.552659	+	0.179570i
$568$	−243.530	+	335.190i	−0.428750	+	0.590123i
$569$	−136.967	−	188.518i	−0.240714	−	0.331315i	0.671518	−	0.740988i	$-0.265643\pi$
$569$	−136.967	−	188.518i	−0.240714	−	0.331315i	−0.912232	+	0.409673i	$0.865643\pi$
$570$	−2.57354	+	7.92055i	−0.00451499	+	0.0138957i
$571$		−	196.324i		−	0.343825i	−0.985112	−	0.171912i	$-0.945005\pi$
$571$		−	196.324i		−	0.343825i	0.985112	−	0.171912i	$-0.0549946\pi$
$572$	−57.1478	−	192.491i	−0.0999088	−	0.336523i
$573$	165.564			0.288943
$574$	482.877	+	156.896i	0.841250	+	0.273339i
$575$	−20.1246	+	14.6214i	−0.0349993	+	0.0254285i
$576$	107.556	+	78.1438i	0.186729	+	0.135666i
$577$	43.9884	+	135.382i	0.0762364	+	0.234631i	0.981911	−	0.189341i	$-0.0606352\pi$
$577$	43.9884	+	135.382i	0.0762364	+	0.234631i	−0.905675	+	0.423973i	$0.860635\pi$
$578$	38.3134	−	12.4488i	0.0662862	−	0.0215377i
$579$	−23.7384	+	32.6730i	−0.0409989	+	0.0564301i
$580$	232.053	+	319.393i	0.400091	+	0.550678i
$581$	256.199	−	788.498i	0.440961	−	1.35714i
$582$			77.7223i			0.133544i
$583$	76.6718	−	100.049i	0.131513	−	0.171610i
$584$	558.464			0.956274
$585$	141.803	+	46.0747i	0.242399	+	0.0787602i
$586$	37.8998	−	27.5358i	0.0646754	−	0.0469894i
$587$	193.847	+	140.838i	0.330233	+	0.239929i	0.740530	−	0.672024i	$-0.234575\pi$
$587$	193.847	+	140.838i	0.330233	+	0.239929i	−0.410296	+	0.911952i	$0.634575\pi$
$588$	−74.4259	−	229.059i	−0.126575	−	0.389557i
$589$	−14.0507	+	4.56535i	−0.0238552	+	0.00775102i
$590$	3.87849	−	5.33829i	0.00657372	−	0.00904795i
$591$	229.098	+	315.327i	0.387645	+	0.533548i
$592$	−123.684	+	380.660i	−0.208925	+	0.643006i
$593$		−	598.782i		−	1.00975i	−0.863192	−	0.504875i	$-0.831538\pi$
$593$		−	598.782i		−	1.00975i	0.863192	−	0.504875i	$-0.168462\pi$
$594$	59.2173	−	167.553i	0.0996924	−	0.282076i
$595$	608.827			1.02324
$596$	221.858	+	72.0860i	0.372245	+	0.120950i
$597$	−198.416	+	144.158i	−0.332356	+	0.241471i
$598$	−8.54102	−	6.20541i	−0.0142826	−	0.0103769i
$599$	93.8359	+	288.797i	0.156654	+	0.482132i	0.998325	−	0.0578592i	$-0.0184274\pi$
$599$	93.8359	+	288.797i	0.156654	+	0.482132i	−0.841670	+	0.539992i	$0.818427\pi$
$600$	−64.2173	+	20.8655i	−0.107029	+	0.0347758i
$601$	−107.416	+	147.845i	−0.178729	+	0.245999i	−0.888977	−	0.457953i	$-0.848583\pi$
$601$	−107.416	+	147.845i	−0.178729	+	0.245999i	0.710248	+	0.703952i	$0.248583\pi$
$602$	−98.0902	−	135.010i	−0.162940	−	0.224268i
$603$	84.3384	−	259.567i	0.139865	−	0.430459i
$604$		−	349.036i		−	0.577874i
$605$	−172.892	+	452.067i	−0.285771	+	0.747218i
$606$	−113.131			−0.186685
$607$	−769.237	−	249.940i	−1.26728	−	0.411763i	−0.403195	−	0.915114i	$-0.632100\pi$
$607$	−769.237	−	249.940i	−1.26728	−	0.411763i	−0.864082	+	0.503351i	$0.832100\pi$
$608$	48.5501	−	35.2737i	0.0798522	−	0.0580160i
$609$	−316.525	−	229.969i	−0.519745	−	0.377617i
$610$	−20.3081	−	62.5018i	−0.0332919	−	0.102462i
$611$	136.180	−	44.2477i	0.222881	−	0.0724185i
$612$	221.138	−	304.371i	0.361337	−	0.497338i
$613$	701.597	+	965.666i	1.14453	+	1.57531i	0.756946	+	0.653478i	$0.226691\pi$
$613$	701.597	+	965.666i	1.14453	+	1.57531i	0.387585	+	0.921834i	$0.373309\pi$
$614$	−80.0420	+	246.344i	−0.130362	+	0.401212i
$615$			387.869i			0.630681i
$616$	−560.766	−	198.188i	−0.910334	−	0.321733i
$617$	107.900			0.174878			0.0874390	−	0.996170i	$-0.472132\pi$
$617$	107.900			0.174878			0.0874390	+	0.996170i	$0.472132\pi$
$618$	−88.4346	−	28.7341i	−0.143098	−	0.0464954i
$619$	457.719	−	332.552i	0.739449	−	0.537241i	−0.153089	−	0.988212i	$-0.548922\pi$
$619$	457.719	−	332.552i	0.739449	−	0.537241i	0.892539	+	0.450971i	$0.148922\pi$
$620$	80.0526	+	58.1616i	0.129117	+	0.0938091i
$621$	18.9919	+	58.4510i	0.0305827	+	0.0941239i
$622$	−383.643	+	124.653i	−0.616790	+	0.200407i
$623$	721.792	−	993.462i	1.15857	−	1.59464i
$624$	42.4671	+	58.4510i	0.0680563	+	0.0936714i
$625$	−98.5764	+	303.387i	−0.157722	+	0.485419i
$626$			240.768i			0.384614i
$627$	25.0203	+	19.1742i	0.0399048	+	0.0305809i
$628$	−856.298			−1.36353
$629$	585.000	+	190.078i	0.930048	+	0.302191i
$630$	166.026	−	120.625i	0.263534	−	0.191469i
$631$	−558.872	−	406.044i	−0.885693	−	0.643494i	0.0490585	−	0.998796i	$-0.484378\pi$
$631$	−558.872	−	406.044i	−0.885693	−	0.643494i	−0.934751	+	0.355302i	$0.884378\pi$
$632$	−6.60177	−	20.3182i	−0.0104458	−	0.0321490i
$633$	−129.263	+	42.0000i	−0.204207	+	0.0663507i
$634$	220.755	−	303.843i	0.348193	−	0.479247i
$635$	−442.610	−	609.200i	−0.697023	−	0.959371i
$636$	−16.9911	+	52.2933i	−0.0267156	+	0.0822222i
$637$			263.883i			0.414259i
$638$	−217.782	+	64.6564i	−0.341351	+	0.101342i
$639$	−541.108			−0.846805
$640$	−492.207	−	159.928i	−0.769073	−	0.249887i
$641$	−624.756	+	453.912i	−0.974659	+	0.708131i	−0.956509	−	0.291704i	$-0.905778\pi$
$641$	−624.756	+	453.912i	−0.974659	+	0.708131i	−0.0181501	+	0.999835i	$0.505778\pi$
$642$	−68.9058	−	50.0630i	−0.107330	−	0.0779797i
$643$	291.864	+	898.264i	0.453909	+	1.39699i	0.872411	+	0.488773i	$0.162555\pi$
$643$	291.864	+	898.264i	0.453909	+	1.39699i	−0.418502	+	0.908216i	$0.637445\pi$
$644$	90.9017	−	29.5358i	0.141152	−	0.0458630i
$645$	74.9342	−	103.138i	0.116177	−	0.159904i
$646$	−13.5333	−	18.6269i	−0.0209493	−	0.0288343i
$647$	−301.400	+	927.614i	−0.465843	+	1.43372i	0.392077	+	0.919932i	$0.371757\pi$
$647$	−301.400	+	927.614i	−0.465843	+	1.43372i	−0.857920	+	0.513784i	$0.828243\pi$
$648$		−	179.597i		−	0.277155i
$649$	−14.1591	−	20.5743i	−0.0218167	−	0.0317016i
$650$	34.3769			0.0528876
$651$	−93.2624	−	30.3028i	−0.143260	−	0.0465481i
$652$	−489.796	+	355.858i	−0.751221	+	0.545794i
$653$	−194.615	−	141.396i	−0.298032	−	0.216533i	0.428712	−	0.903441i	$-0.358967\pi$
$653$	−194.615	−	141.396i	−0.298032	−	0.216533i	−0.726744	+	0.686908i	$0.758967\pi$
$654$	29.1892	+	89.8351i	0.0446318	+	0.137363i
$655$	539.941	−	175.438i	0.824338	−	0.267844i
$656$	410.128	−	564.493i	0.625195	−	0.860507i
$657$	428.711	+	590.070i	0.652528	+	0.898128i
$658$	60.9017	−	187.436i	0.0925558	−	0.284857i
$659$		−	937.713i		−	1.42293i	−0.702720	−	0.711467i	$-0.748031\pi$
$659$		−	937.713i		−	1.42293i	0.702720	−	0.711467i	$-0.251969\pi$
$660$	5.39631	−	211.059i	0.00817622	−	0.319787i
$661$	133.305			0.201672			0.100836	−	0.994903i	$-0.467848\pi$
$661$	133.305			0.201672			0.100836	+	0.994903i	$0.467848\pi$
$662$	−144.335	−	46.8973i	−0.218029	−	0.0708418i
$663$	89.8278	−	65.2637i	0.135487	−	0.0984370i
$664$	365.608	+	265.630i	0.550615	+	0.400045i
$665$	25.5279	+	78.5667i	0.0383878	+	0.118145i
$666$	197.188	−	64.0704i	0.296079	−	0.0962018i
$667$	46.1803	−	63.5618i	0.0692359	−	0.0952950i
$668$	−503.995	−	693.689i	−0.754483	−	1.03846i
$669$	113.607	−	349.646i	0.169816	−	0.522639i
$670$			111.868i			0.166968i
$671$	−248.666	−	6.35781i	−0.370590	−	0.00947513i
$672$	398.328			0.592750
$673$	860.230	+	279.506i	1.27820	+	0.415313i	0.867947	−	0.496657i	$-0.165439\pi$
$673$	860.230	+	279.506i	1.27820	+	0.415313i	0.410256	+	0.911971i	$0.365439\pi$
$674$	79.3090	−	57.6214i	0.117669	−	0.0854917i
$675$	−161.904	−	117.630i	−0.239858	−	0.174267i
$676$	151.673	+	466.801i	0.224368	+	0.690534i
$677$	574.798	−	186.763i	0.849037	−	0.275869i	0.147995	−	0.988988i	$-0.452718\pi$
$677$	574.798	−	186.763i	0.849037	−	0.275869i	0.701043	+	0.713119i	$0.252718\pi$
$678$	5.01256	−	6.89920i	0.00739316	−	0.0101758i
$679$	453.156	+	623.716i	0.667387	+	0.918580i
$680$	−102.551	+	315.620i	−0.150810	+	0.464147i
$681$			351.744i			0.516512i
$682$	−46.9055	+	32.2800i	−0.0687764	+	0.0473313i
$683$	1261.32			1.84673			0.923367	−	0.383919i	$-0.125426\pi$
$683$	1261.32			1.84673			0.923367	+	0.383919i	$0.125426\pi$
$684$	48.5501	+	15.7749i	0.0709797	+	0.0230627i
$685$	−52.6099	+	38.2233i	−0.0768028	+	0.0558005i
$686$	6.98684	+	5.07624i	0.0101849	+	0.00739977i
$687$	−17.1703	−	52.8447i	−0.0249931	−	0.0769210i
$688$	−218.114	+	70.8695i	−0.317026	+	0.103008i
$689$	35.4102	−	48.7380i	0.0513936	−	0.0707372i
$690$	−6.52476	−	8.98056i	−0.00945617	−	0.0130153i
$691$	−132.915	+	409.071i	−0.192352	+	0.591999i	0.807645	+	0.589669i	$0.200742\pi$
$691$	−132.915	+	409.071i	−0.192352	+	0.591999i	−0.999997	+	0.00232993i	$0.999258\pi$
$692$			172.732i			0.249612i
$693$	−221.074	−	744.643i	−0.319010	−	1.07452i
$694$	68.8603			0.0992224
$695$	−861.495	−	279.917i	−1.23956	−	0.402758i
$696$	172.533	−	125.352i	0.247892	−	0.180104i
$697$	−867.516	−	630.287i	−1.24464	−	0.904286i
$698$	38.5774	+	118.729i	0.0552685	+	0.170099i
$699$	303.533	−	98.6239i	0.434239	−	0.141093i
$700$	−182.936	+	251.790i	−0.261337	+	0.359700i
$701$	−299.098	−	411.673i	−0.426674	−	0.587266i	0.540512	−	0.841336i	$-0.318231\pi$
$701$	−299.098	−	411.673i	−0.426674	−	0.587266i	−0.967186	+	0.254070i	$0.918231\pi$
$702$	26.2461	−	80.7772i	0.0373876	−	0.115067i
$703$			83.4619i			0.118722i
$704$	−125.461	+	163.713i	−0.178212	+	0.232548i
$705$	150.557			0.213556
$706$	82.6722	+	26.8618i	0.117099	+	0.0380479i
$707$	−907.866	+	659.603i	−1.28411	+	0.932961i
$708$	8.81404	+	6.40378i	0.0124492	+	0.00904488i
$709$	−227.956	−	701.577i	−0.321518	−	0.989531i	−0.972988	−	0.230856i	$-0.925847\pi$
$709$	−227.956	−	701.577i	−0.321518	−	0.989531i	0.651470	−	0.758674i	$-0.274153\pi$
$710$	210.938	−	68.5379i	0.297096	−	0.0965323i
$711$	16.4001	−	22.5729i	0.0230663	−	0.0317481i
$712$	393.438	+	541.521i	0.552582	+	0.760563i
$713$	6.08514	−	18.7282i	0.00853457	−	0.0262667i
$714$		−	152.824i		−	0.214039i
$715$	−77.0820	+	218.101i	−0.107807	+	0.305036i
$716$	760.222			1.06176
$717$	−414.230	−	134.591i	−0.577726	−	0.187715i
$718$	−274.681	+	199.567i	−0.382564	+	0.277949i
$719$	425.782	+	309.349i	0.592187	+	0.430249i	0.843097	−	0.537762i	$-0.180730\pi$
$719$	425.782	+	309.349i	0.592187	+	0.430249i	−0.250910	+	0.968010i	$0.580730\pi$
$720$	−87.1509	−	268.223i	−0.121043	−	0.372532i
$721$	−877.214	+	285.024i	−1.21666	+	0.395318i
$722$	−152.329	+	209.663i	−0.210982	+	0.290392i
$723$	−220.078	−	302.912i	−0.304396	−	0.418965i
$724$	41.7395	−	128.461i	0.0576513	−	0.177432i
$725$			255.831i			0.352871i
$726$	113.475	+	43.3983i	0.156302	+	0.0597772i
$727$	−756.122			−1.04006			−0.520029	−	0.854149i	$-0.674079\pi$
$727$	−756.122			−1.04006			−0.520029	+	0.854149i	$0.674079\pi$
$728$	−270.344	−	87.8402i	−0.371352	−	0.120660i
$729$	−33.9853	+	24.6918i	−0.0466191	+	0.0338707i
$730$	−241.862	−	175.723i	−0.331318	−	0.240717i
$731$	108.913	+	335.199i	0.148991	+	0.458548i
$732$	103.197	−	33.5306i	0.140979	−	0.0458068i
$733$	250.381	−	344.620i	0.341584	−	0.470149i	−0.603320	−	0.797500i	$-0.706156\pi$
$733$	250.381	−	344.620i	0.341584	−	0.470149i	0.944903	+	0.327350i	$0.106156\pi$
$734$	−140.426	−	193.279i	−0.191316	−	0.263323i
$735$	−85.7407	+	263.883i	−0.116654	+	0.359024i
$736$			79.9888i			0.108680i
$737$	399.228	+	141.096i	0.541693	+	0.191447i
$738$	−361.448			−0.489767
$739$	184.618	+	59.9862i	0.249822	+	0.0811721i	0.431251	−	0.902232i	$-0.358072\pi$
$739$	184.618	+	59.9862i	0.249822	+	0.0811721i	−0.181429	+	0.983404i	$0.558072\pi$
$740$	452.243	−	328.574i	0.611139	−	0.444019i
$741$	12.1885	+	8.85544i	0.0164487	+	0.0119507i
$742$	−25.6231	−	78.8597i	−0.0345324	−	0.106280i
$743$	211.584	−	68.7477i	0.284769	−	0.0925272i	−0.163150	−	0.986601i	$-0.552165\pi$
$743$	211.584	−	68.7477i	0.284769	−	0.0925272i	0.447919	+	0.894074i	$0.352165\pi$
$744$	31.4183	−	43.2436i	0.0422289	−	0.0581231i
$745$	−157.961	−	217.415i	−0.212029	−	0.291832i
$746$	48.0763	−	147.964i	0.0644454	−	0.198343i
$747$			590.214i			0.790112i
$748$	463.291	+	355.041i	0.619373	+	0.474654i
$749$	−844.853			−1.12797
$750$	129.868	+	42.1968i	0.173158	+	0.0562624i
$751$	1186.49	−	862.033i	1.57987	−	1.14785i	0.663037	−	0.748587i	$-0.269267\pi$
$751$	1186.49	−	862.033i	1.57987	−	1.14785i	0.916838	−	0.399260i	$-0.130733\pi$
$752$	−219.116	−	159.197i	−0.291378	−	0.211699i
$753$	4.75507	+	14.6346i	0.00631483	+	0.0194351i
$754$	−103.262	+	33.5520i	−0.136953	+	0.0444986i
$755$	−236.348	+	325.305i	−0.313044	+	0.430868i
$756$	451.976	+	622.091i	0.597851	+	0.822872i
$757$	410.832	−	1264.41i	0.542710	−	1.67029i	−0.183663	−	0.982989i	$-0.558795\pi$
$757$	410.832	−	1264.41i	0.542710	−	1.67029i	0.726373	−	0.687301i	$-0.241205\pi$
$758$		−	232.676i		−	0.306961i
$759$	−40.2786	+	11.9581i	−0.0530680	+	0.0157551i
$760$	−45.0294			−0.0592492
$761$	654.725	+	212.733i	0.860348	+	0.279544i	0.705774	−	0.708437i	$-0.250599\pi$
$761$	654.725	+	212.733i	0.860348	+	0.279544i	0.154574	+	0.987981i	$0.450599\pi$
$762$	−152.918	+	111.101i	−0.200680	+	0.145802i
$763$	758.020	+	550.734i	0.993473	+	0.721801i
$764$	128.543	+	395.614i	0.168250	+	0.517820i
$765$	−412.207	+	133.934i	−0.538832	+	0.175077i
$766$	233.835	−	321.847i	0.305268	−	0.420165i
$767$	−7.01626	−	9.65706i	−0.00914767	−	0.0125907i
$768$	−8.11397	+	24.9722i	−0.0105651	+	0.0325159i
$769$		−	695.838i		−	0.904860i	−0.891800	−	0.452430i	$-0.850557\pi$
$769$		−	695.838i		−	0.904860i	0.891800	−	0.452430i	$-0.149443\pi$
$770$	180.498	+	262.280i	0.234414	+	0.340623i
$771$	−557.320			−0.722853
$772$	−96.5023	−	31.3555i	−0.125003	−	0.0406159i
$773$	−67.1591	+	48.7939i	−0.0868811	+	0.0631228i	−0.630378	−	0.776288i	$-0.717100\pi$
$773$	−67.1591	+	48.7939i	−0.0868811	+	0.0631228i	0.543497	+	0.839411i	$0.317100\pi$
$774$	96.1124	+	69.8298i	0.124176	+	0.0902193i
$775$	19.8146	+	60.9832i	0.0255673	+	0.0786880i
$776$	−399.668	+	129.860i	−0.515036	+	0.167345i
$777$	−325.623	+	448.182i	−0.419077	+	0.576810i
$778$	143.716	+	197.808i	0.184725	+	0.254252i
$779$	44.9615	−	138.377i	0.0577169	−	0.177634i
$780$		−	100.906i		−	0.129367i
$781$	21.4571	−	839.225i	0.0274738	−	1.07455i
$782$	30.6888			0.0392440
$783$	601.140	+	195.322i	0.767739	+	0.249454i
$784$	403.811	−	293.386i	0.515065	−	0.374217i
$785$	798.079	+	579.838i	1.01666	+	0.738647i
$786$	−44.0373	−	135.533i	−0.0560271	−	0.172434i
$787$	103.159	−	33.5185i	0.131079	−	0.0425903i	−0.242743	−	0.970091i	$-0.578047\pi$
$787$	103.159	−	33.5185i	0.131079	−	0.0425903i	0.373822	+	0.927500i	$0.378047\pi$
$788$	−575.601	+	792.246i	−0.730458	+	1.00539i
$789$	−34.6556	−	47.6993i	−0.0439234	−	0.0604554i
$790$	−3.53408	+	10.8768i	−0.00447351	+	0.0137681i
$791$		−	84.5910i		−	0.106942i
$792$	423.266	+	10.8219i	0.534427	+	0.0136641i
$793$	−118.885			−0.149919
$794$	−79.7214	−	25.9030i	−0.100405	−	0.0326235i
$795$	51.2461	−	37.2325i	0.0644605	−	0.0468333i
$796$	−498.514	−	362.191i	−0.626273	−	0.455014i
$797$	−308.596	−	949.759i	−0.387196	−	1.19167i	−0.934874	−	0.354979i	$-0.884488\pi$
$797$	−308.596	−	949.759i	−0.387196	−	1.19167i	0.547678	−	0.836689i	$-0.315512\pi$
$798$	19.7214	−	6.40786i	0.0247135	−	0.00802990i
$799$	−244.656	+	336.740i	−0.306202	+	0.421451i
$800$	−153.096	−	210.718i	−0.191370	−	0.263398i
$801$	−270.141	+	831.409i	−0.337255	+	1.03796i
$802$		−	46.3500i		−	0.0577930i
$803$	−932.162	+	641.505i	−1.16085	+	0.798886i
$804$	−184.706			−0.229734
$805$	−104.721	−	34.0260i	−0.130089	−	0.0422684i
$806$	−22.0163	+	15.9958i	−0.0273155	+	0.0198458i
$807$	458.387	+	333.038i	0.568014	+	0.412686i
$808$	−189.021	−	581.748i	−0.233937	−	0.719985i
$809$	71.6823	−	23.2910i	0.0886060	−	0.0287898i	−0.264379	−	0.964419i	$-0.585167\pi$
$809$	71.6823	−	23.2910i	0.0886060	−	0.0287898i	0.352985	+	0.935629i	$0.385167\pi$
$810$	−56.5109	+	77.7805i	−0.0697665	+	0.0960254i
$811$	−583.402	−	802.984i	−0.719361	−	0.990115i	−0.999545	−	0.0301690i	$-0.990395\pi$
$811$	−583.402	−	802.984i	−0.719361	−	0.990115i	0.280184	−	0.959946i	$-0.409605\pi$
$812$	303.761	−	934.880i	0.374090	−	1.15133i
$813$		−	320.696i		−	0.394460i
$814$	91.5499	+	308.368i	0.112469	+	0.378830i
$815$	697.463			0.855783
$816$	−199.742	−	64.9000i	−0.244781	−	0.0795343i
$817$	−38.6894	+	28.1095i	−0.0473555	+	0.0344058i
$818$	359.538	+	261.220i	0.439533	+	0.319339i
$819$	−114.721	−	353.076i	−0.140075	−	0.431106i
$820$	−926.810	+	301.139i	−1.13026	+	0.367243i
$821$	−733.079	+	1009.00i	−0.892910	+	1.22898i	0.0797652	+	0.996814i	$0.474583\pi$
$821$	−733.079	+	1009.00i	−0.892910	+	1.22898i	−0.972675	+	0.232171i	$0.925417\pi$
$822$	9.59460	+	13.2058i	0.0116723	+	0.0160655i
$823$	−165.319	+	508.800i	−0.200874	+	0.618227i	0.798984	+	0.601353i	$0.205371\pi$
$823$	−165.319	+	508.800i	−0.200874	+	0.618227i	−0.999858	+	0.0168738i	$0.994629\pi$
$824$		−	502.763i		−	0.610149i
$825$	83.2204	−	108.594i	0.100873	−	0.131629i
$826$	−16.4296			−0.0198905
$827$	53.4969	+	17.3822i	0.0646879	+	0.0210184i	0.341182	−	0.939997i	$-0.389173\pi$
$827$	53.4969	+	17.3822i	0.0646879	+	0.0210184i	−0.276494	+	0.961016i	$0.589173\pi$
$828$	−55.0476	+	39.9944i	−0.0664826	+	0.0483024i
$829$	660.320	+	479.751i	0.796526	+	0.578710i	0.909893	−	0.414843i	$-0.136164\pi$
$829$	660.320	+	479.751i	0.796526	+	0.578710i	−0.113367	+	0.993553i	$0.536164\pi$
$830$	−74.7577	−	230.081i	−0.0900695	−	0.277206i
$831$	−402.574	+	130.804i	−0.484445	+	0.157406i
$832$	−57.9431	+	79.7518i	−0.0696431	+	0.0958555i
$833$	−450.877	−	620.579i	−0.541269	−	0.744993i
$834$	−70.2631	+	216.248i	−0.0842483	+	0.259290i
$835$			987.803i			1.18300i
$836$	−26.3911	+	74.6726i	−0.0315682	+	0.0893213i
$837$	158.423			0.189275
$838$	−100.991	−	32.8141i	−0.120515	−	0.0391576i
$839$	−49.8216	+	36.1975i	−0.0593821	+	0.0431436i	−0.617080	−	0.786900i	$-0.711685\pi$
$839$	−49.8216	+	36.1975i	−0.0593821	+	0.0431436i	0.557698	+	0.830044i	$0.311685\pi$
$840$	−241.803	−	175.680i	−0.287861	−	0.209143i
$841$	10.1913	+	31.3657i	0.0121181	+	0.0372958i
$842$	410.036	−	133.229i	0.486979	−	0.158229i
$843$	105.152	−	144.729i	0.124735	−	0.171683i
$844$	−200.717	−	276.264i	−0.237817	−	0.327327i
$845$	174.731	−	537.768i	0.206783	−	0.636412i
$846$			140.301i			0.165841i
$847$	1163.66	−	313.344i	1.37386	−	0.369945i
$848$	−113.951			−0.134376
$849$	554.508	+	180.171i	0.653131	+	0.212215i
$850$	−80.8450	+	58.7373i	−0.0951118	+	0.0691028i
$851$	−90.0000	−	65.3888i	−0.105758	−	0.0768376i
$852$	113.163	+	348.280i	0.132820	+	0.408779i
$853$	1347.24	−	437.746i	1.57942	−	0.513184i	0.617511	−	0.786562i	$-0.288141\pi$
$853$	1347.24	−	437.746i	1.57942	−	0.513184i	0.961907	+	0.273379i	$0.0881412\pi$
$854$	−96.1803	+	132.381i	−0.112623	+	0.155013i
$855$	−34.5673	−	47.5778i	−0.0404296	−	0.0556466i
$856$	142.307	−	437.977i	0.166247	−	0.511656i
$857$			1249.64i			1.45815i	0.684432	+	0.729077i	$0.260050\pi$
$857$			1249.64i			1.45815i	−0.684432	+	0.729077i	$0.739950\pi$
$858$	54.7465	+	19.3487i	0.0638071	+	0.0225509i
$859$	−345.229			−0.401896			−0.200948	−	0.979602i	$-0.564402\pi$
$859$	−345.229			−0.401896			−0.200948	+	0.979602i	$0.564402\pi$
$860$	304.626	+	98.9790i	0.354216	+	0.115092i
$861$	781.312	−	567.656i	0.907447	−	0.659299i
$862$	−102.474	−	74.4518i	−0.118879	−	0.0863710i
$863$	−125.242	−	385.456i	−0.145124	−	0.446647i	0.851903	−	0.523700i	$-0.175449\pi$
$863$	−125.242	−	385.456i	−0.145124	−	0.446647i	−0.997027	+	0.0770535i	$0.975449\pi$
$864$	−612.021	+	198.858i	−0.708358	+	0.230159i
$865$	116.964	−	160.988i	0.135219	−	0.186113i
$866$	265.045	+	364.804i	0.306057	+	0.421251i
$867$	23.6790	−	72.8765i	0.0273114	−	0.0840560i
$868$		−	246.377i		−	0.283844i
$869$	34.3588	+	26.3307i	0.0395383	+	0.0303000i
$870$	−114.164			−0.131223
$871$	192.467	+	62.5364i	0.220973	+	0.0717983i
$872$	−413.185	+	300.197i	−0.473836	+	0.344262i
$873$	−444.019	−	322.599i	−0.508613	−	0.369529i
$874$	1.28677	+	3.96027i	0.00147228	+	0.00453121i
$875$	1288.21	−	418.565i	1.47224	−	0.478360i
$876$	290.136	−	399.338i	0.331206	−	0.455866i
$877$	209.069	+	287.759i	0.238391	+	0.328117i	0.911403	−	0.411514i	$-0.135000\pi$
$877$	209.069	+	287.759i	0.238391	+	0.328117i	−0.673012	+	0.739631i	$0.735000\pi$
$878$	151.946	−	467.642i	0.173059	−	0.532622i
$879$		−	89.1077i		−	0.101374i
$880$	419.453	−	124.529i	0.476651	−	0.141511i
$881$	−883.370			−1.00269			−0.501345	−	0.865248i	$-0.667161\pi$
$881$	−883.370			−1.00269			−0.501345	+	0.865248i	$0.667161\pi$
$882$	−245.907	−	79.9001i	−0.278806	−	0.0905897i
$883$	−674.512	+	490.062i	−0.763887	+	0.554996i	−0.900100	−	0.435683i	$-0.856507\pi$
$883$	−674.512	+	490.062i	−0.763887	+	0.554996i	0.136213	+	0.990680i	$0.456507\pi$
$884$	225.689	+	163.973i	0.255304	+	0.185489i
$885$	−3.87849	−	11.9368i	−0.00438248	−	0.0134879i
$886$	−179.177	+	58.2180i	−0.202231	+	0.0657088i
$887$	54.3406	−	74.7934i	0.0612633	−	0.0843217i	−0.777286	−	0.629147i	$-0.783404\pi$
$887$	54.3406	−	74.7934i	0.0612633	−	0.0843217i	0.838549	+	0.544826i	$0.183404\pi$
$888$	−177.492	−	244.297i	−0.199879	−	0.275109i
$889$	−579.384	+	1783.16i	−0.651725	+	2.00580i
$890$		−	358.322i		−	0.402608i
$891$	206.302	+	299.774i	0.231540	+	0.336447i
$892$	923.680			1.03552
$893$	−53.7132	−	17.4525i	−0.0601492	−	0.0195437i
$894$	−54.5743	+	39.6505i	−0.0610451	+	0.0443518i
$895$	−708.535	−	514.781i	−0.791659	−	0.575174i
$896$	398.204	+	1225.54i	0.444424	+	1.36780i
$897$	−19.0983	+	6.20541i	−0.0212913	+	0.00691796i
$898$	−171.846	+	236.526i	−0.191365	+	0.263392i
$899$	−119.039	−	163.844i	−0.132413	−	0.182251i
$900$	68.4665	−	210.718i	0.0760739	−	0.234131i
$901$			175.121i			0.194363i
$902$	14.3328	−	560.583i	0.0158900	−	0.621489i
$903$	−317.426			−0.351524
$904$	43.8525	+	14.2486i	0.0485095	+	0.0157617i
$905$	−125.889	+	91.4634i	−0.139103	+	0.101065i
$906$	81.6563	+	59.3268i	0.0901284	+	0.0654821i
$907$	−454.784	−	1399.68i	−0.501415	−	1.54320i	−0.806715	−	0.590941i	$-0.798757\pi$
$907$	−454.784	−	1399.68i	−0.501415	−	1.54320i	0.305299	−	0.952256i	$-0.401243\pi$
$908$	−840.491	+	273.092i	−0.925651	+	0.300762i
$909$	469.567	−	646.304i	0.516576	−	0.711005i
$910$	89.4427	+	123.107i	0.0982887	+	0.135283i
$911$	54.3525	−	167.280i	0.0596625	−	0.183622i	−0.916783	−	0.399385i	$-0.869224\pi$
$911$	54.3525	−	167.280i	0.0596625	−	0.183622i	0.976446	+	0.215763i	$0.0692237\pi$
$912$		−	28.4971i		−	0.0312468i
$913$	−915.384	−	23.4043i	−1.00261	−	0.0256345i
$914$	−185.795			−0.203277
$915$	−118.885	−	38.6282i	−0.129929	−	0.0422166i
$916$	112.941	−	82.0566i	0.123298	−	0.0895814i
$917$	−1143.61	−	830.884i	−1.24713	−	0.906089i
$918$	76.2945	+	234.810i	0.0831095	+	0.255785i
$919$	−1636.12	+	531.609i	−1.78033	+	0.578465i	−0.998960	−	0.0456019i	$-0.985479\pi$
$919$	−1636.12	+	531.609i	−1.78033	+	0.578465i	−0.781371	+	0.624066i	$0.785479\pi$
$920$	35.2786	−	48.5569i	0.0383463	−	0.0527792i
$921$	289.595	+	398.593i	0.314435	+	0.432783i
$922$	−100.195	+	308.368i	−0.108671	+	0.334455i
$923$		−	401.228i		−	0.434700i
$924$	−433.050	+	298.021i	−0.468668	+	0.322533i
$925$	362.243			0.391614
$926$	−50.5322	−	16.4189i	−0.0545704	−	0.0177310i
$927$	531.217	−	385.952i	0.573049	−	0.416345i
$928$	665.535	+	483.539i	0.717171	+	0.521055i
$929$	288.957	+	889.317i	0.311040	+	0.957284i	0.977354	+	0.211612i	$0.0678714\pi$
$929$	288.957	+	889.317i	0.311040	+	0.957284i	−0.666313	+	0.745672i	$0.732129\pi$
$930$	−27.2136	+	8.84223i	−0.0292619	+	0.00950778i
$931$	61.1782	−	84.2046i	0.0657123	−	0.0904453i
$932$	471.322	+	648.720i	0.505711	+	0.696051i
$933$	−237.105	+	729.733i	−0.254131	+	0.782136i
$934$		−	8.07520i		−	0.00864583i
$935$	−191.378	−	644.618i	−0.204682	−	0.689431i
$936$	202.361			0.216197
$937$	−853.544	−	277.333i	−0.910933	−	0.295980i	−0.184191	−	0.982890i	$-0.558967\pi$
$937$	−853.544	−	277.333i	−0.910933	−	0.295980i	−0.726742	+	0.686910i	$0.758967\pi$
$938$	225.344	−	163.722i	0.240239	−	0.174544i
$939$	370.504	+	269.187i	0.394573	+	0.286674i
$940$	116.892	+	359.756i	0.124353	+	0.382719i
$941$	437.800	−	142.250i	0.465250	−	0.151169i	−0.0670056	−	0.997753i	$-0.521345\pi$
$941$	437.800	−	142.250i	0.465250	−	0.151169i	0.532256	+	0.846584i	$0.321345\pi$
$942$	145.548	−	200.329i	0.154509	−	0.212664i
$943$	113.992	+	156.896i	0.120882	+	0.166380i
$944$	−6.97716	+	21.4735i	−0.00739106	+	0.0227473i
$945$		−	885.849i		−	0.937406i
$946$	−112.113	+	146.295i	−0.118512	+	0.154646i
$947$	1781.44			1.88114			0.940570	−	0.339600i	$-0.110292\pi$
$947$	1781.44			1.88114			0.940570	+	0.339600i	$0.110292\pi$
$948$	−17.9586	−	5.83511i	−0.0189437	−	0.00615518i
$949$	−437.533	+	317.886i	−0.461046	+	0.334970i
$950$	−10.9696	−	7.96990i	−0.0115470	−	0.00838937i
$951$	−220.755	−	679.413i	−0.232129	−	0.714419i
$952$	785.861	−	255.342i	0.825484	−	0.268216i
$953$	472.394	−	650.194i	0.495691	−	0.682260i	−0.485734	−	0.874107i	$-0.661448\pi$
$953$	472.394	−	650.194i	0.495691	−	0.682260i	0.981425	+	0.191847i	$0.0614476\pi$
$954$	34.6962	+	47.7553i	0.0363692	+	0.0500579i
$955$	148.085	−	455.759i	0.155063	−	0.477235i
$956$		−	1094.30i		−	1.14466i
$957$	−143.992	+	407.420i	−0.150462	+	0.425726i
$958$	416.760			0.435031
$959$	153.992	+	50.0350i	0.160575	+	0.0521741i
$960$	−83.8560	+	60.9250i	−0.0873500	+	0.0634635i
$961$	736.400	+	535.026i	0.766285	+	0.556738i
$962$	47.5078	+	146.214i	0.0493844	+	0.151989i
$963$	572.008	−	185.857i	0.593986	−	0.192998i
$964$	552.938	−	761.054i	0.573587	−	0.789475i
$965$	68.7089	+	94.5697i	0.0712010	+	0.0979997i
$966$	−8.54102	+	26.2866i	−0.00884164	+	0.0272118i
$967$			915.454i			0.946695i	0.880876	+	0.473347i	$0.156954\pi$
$967$			915.454i			0.946695i	−0.880876	+	0.473347i	$0.843046\pi$
$968$	−33.5683	+	656.030i	−0.0346780	+	0.677716i
$969$	−43.7945			−0.0451956
$970$	213.951	+	69.5170i	0.220568	+	0.0716670i
$971$	−596.366	+	433.285i	−0.614177	+	0.446226i	−0.850883	−	0.525356i	$-0.823932\pi$
$971$	−596.366	+	433.285i	−0.614177	+	0.446226i	0.236706	+	0.971581i	$0.423932\pi$
$972$	−690.577	−	501.733i	−0.710470	−	0.516187i
$973$	696.964	+	2145.04i	0.716305	+	2.20456i
$974$	−435.902	+	141.633i	−0.447538	+	0.145414i
$975$	38.4346	−	52.9007i	0.0394201	−	0.0542571i
$976$	132.177	+	181.926i	0.135427	+	0.186400i
$977$	59.1165	−	181.942i	0.0605082	−	0.186225i	−0.916233	−	0.400645i	$-0.868786\pi$
$977$	59.1165	−	181.942i	0.0605082	−	0.186225i	0.976742	+	0.214420i	$0.0687861\pi$
$978$		−	175.073i		−	0.179011i
$979$	−1278.75	−	451.941i	−1.30618	−	0.461635i
$980$	−697.115			−0.711341
$981$	−634.373	−	206.120i	−0.646659	−	0.210112i
$982$	256.297	−	186.211i	0.260995	−	0.189624i
$983$	−772.503	−	561.257i	−0.785863	−	0.570963i	0.120870	−	0.992668i	$-0.461432\pi$
$983$	−772.503	−	561.257i	−0.785863	−	0.570963i	−0.906733	+	0.421705i	$0.861432\pi$
$984$	162.672	+	500.654i	0.165317	+	0.508794i
$985$	1072.93	−	348.617i	1.08927	−	0.353926i
$986$	185.517	−	255.342i	0.188151	−	0.258967i
$987$	−220.344	−	303.278i	−0.223247	−	0.307273i
$988$	−11.6970	+	35.9996i	−0.0118390	+	0.0364368i
$989$		−	63.7429i		−	0.0644518i
$990$	−179.905	−	137.869i	−0.181722	−	0.139262i
$991$	−1076.02			−1.08580			−0.542898	−	0.839799i	$-0.682673\pi$
$991$	−1076.02			−1.08580			−0.542898	+	0.839799i	$0.682673\pi$
$992$	196.096	+	63.7156i	0.197678	+	0.0642294i
$993$	−233.539	+	169.676i	−0.235185	+	0.170872i
$994$	−446.774	−	324.600i	−0.449471	−	0.326560i
$995$	219.364	+	675.132i	0.220466	+	0.678525i
$996$	379.886	−	123.432i	0.381411	−	0.123928i
$997$	283.439	−	390.120i	0.284292	−	0.391294i	−0.642858	−	0.765986i	$-0.722251\pi$
$997$	283.439	−	390.120i	0.284292	−	0.391294i	0.927150	+	0.374692i	$0.122251\pi$
$998$	−198.712	−	273.504i	−0.199111	−	0.274052i
$999$	276.565	−	851.181i	0.276842	−	0.852033i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	11.3.d.a.2.1	✓	4
3.2	odd	2		99.3.k.a.46.1		4
4.3	odd	2		176.3.n.a.145.1		4
5.2	odd	4		275.3.q.d.24.2		8
5.3	odd	4		275.3.q.d.24.1		8
5.4	even	2		275.3.x.e.101.1		4
11.2	odd	10		121.3.d.c.118.1		4
11.3	even	5		121.3.d.c.40.1		4
11.4	even	5		121.3.b.b.120.2		4
11.5	even	5		121.3.d.d.94.1		4
11.6	odd	10	inner	11.3.d.a.6.1	yes	4
11.7	odd	10		121.3.b.b.120.3		4
11.8	odd	10		121.3.d.a.40.1		4
11.9	even	5		121.3.d.a.118.1		4
11.10	odd	2		121.3.d.d.112.1		4
33.17	even	10		99.3.k.a.28.1		4
33.26	odd	10		1089.3.c.e.604.3		4
33.29	even	10		1089.3.c.e.604.2		4
44.39	even	10		176.3.n.a.17.1		4
55.17	even	20		275.3.q.d.149.1		8
55.28	even	20		275.3.q.d.149.2		8
55.39	odd	10		275.3.x.e.226.1		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
11.3.d.a.2.1	✓	4	1.1	even	1	trivial
11.3.d.a.6.1	yes	4	11.6	odd	10	inner
99.3.k.a.28.1		4	33.17	even	10
99.3.k.a.46.1		4	3.2	odd	2
121.3.b.b.120.2		4	11.4	even	5
121.3.b.b.120.3		4	11.7	odd	10
121.3.d.a.40.1		4	11.8	odd	10
121.3.d.a.118.1		4	11.9	even	5
121.3.d.c.40.1		4	11.3	even	5
121.3.d.c.118.1		4	11.2	odd	10
121.3.d.d.94.1		4	11.5	even	5
121.3.d.d.112.1		4	11.10	odd	2
176.3.n.a.17.1		4	44.39	even	10
176.3.n.a.145.1		4	4.3	odd	2
275.3.q.d.24.1		8	5.3	odd	4
275.3.q.d.24.2		8	5.2	odd	4
275.3.q.d.149.1		8	55.17	even	20
275.3.q.d.149.2		8	55.28	even	20
275.3.x.e.101.1		4	5.4	even	2
275.3.x.e.226.1		4	55.39	odd	10
1089.3.c.e.604.2		4	33.29	even	10
1089.3.c.e.604.3		4	33.26	odd	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:	\( N \)	\(=\)	\( 11 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	11.d (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.690983 - 0.224514i) q^{2} +(-1.11803 + 0.812299i) q^{3} +(-2.80902 - 2.04087i) q^{4} +(1.23607 + 3.80423i) q^{5} +(0.954915 - 0.310271i) q^{6} +(5.85410 - 8.05748i) q^{7} +(3.19098 + 4.39201i) q^{8} +(-2.19098 + 6.74315i) q^{9} +O(q^{10})\)	\(q+(-0.690983 - 0.224514i) q^{2} +(-1.11803 + 0.812299i) q^{3} +(-2.80902 - 2.04087i) q^{4} +(1.23607 + 3.80423i) q^{5} +(0.954915 - 0.310271i) q^{6} +(5.85410 - 8.05748i) q^{7} +(3.19098 + 4.39201i) q^{8} +(-2.19098 + 6.74315i) q^{9} -2.90617i q^{10} +(-10.3713 - 3.66547i) q^{11} +4.79837 q^{12} +(-5.00000 - 1.62460i) q^{13} +(-5.85410 + 4.25325i) q^{14} +(-4.47214 - 3.24920i) q^{15} +(3.07295 + 9.45756i) q^{16} +(14.5344 - 4.72253i) q^{17} +(3.02786 - 4.16750i) q^{18} +(1.21885 + 1.67760i) q^{19} +(4.29180 - 13.2088i) q^{20} +13.7638i q^{21} +(6.34346 + 4.86128i) q^{22} -2.76393 q^{23} +(-7.13525 - 2.31838i) q^{24} +(7.28115 - 5.29007i) q^{25} +(3.09017 + 2.24514i) q^{26} +(-6.87132 - 21.1478i) q^{27} +(-32.8885 + 10.6861i) q^{28} +(-16.7082 + 22.9969i) q^{29} +(2.36068 + 3.24920i) q^{30} +(-2.20163 + 6.77591i) q^{31} -28.9402i q^{32} +(14.5729 - 4.32650i) q^{33} -11.1033 q^{34} +(37.8885 + 12.3107i) q^{35} +(19.9164 - 14.4701i) q^{36} +(32.5623 + 23.6579i) q^{37} +(-0.465558 - 1.43284i) q^{38} +(6.90983 - 2.24514i) q^{39} +(-12.7639 + 17.5680i) q^{40} +(-41.2426 - 56.7656i) q^{41} +(3.09017 - 9.51057i) q^{42} +23.0624i q^{43} +(21.6525 + 31.4629i) q^{44} -28.3607 q^{45} +(1.90983 + 0.620541i) q^{46} +(-22.0344 + 16.0090i) q^{47} +(-11.1180 - 8.07772i) q^{48} +(-15.5106 - 47.7369i) q^{49} +(-6.21885 + 2.02063i) q^{50} +(-12.4139 + 17.0863i) q^{51} +(10.7295 + 14.7679i) q^{52} +(-3.54102 + 10.8981i) q^{53} +16.1554i q^{54} +(1.12461 - 43.9856i) q^{55} +54.0689 q^{56} +(-2.72542 - 0.885544i) q^{57} +(16.7082 - 12.1392i) q^{58} +(1.83688 + 1.33457i) q^{59} +(5.93112 + 18.2541i) q^{60} +(21.5066 - 6.98791i) q^{61} +(3.04257 - 4.18774i) q^{62} +(41.5066 + 57.1289i) q^{63} +(5.79431 - 17.8330i) q^{64} -21.0292i q^{65} +(-11.0410 - 0.282294i) q^{66} -38.4934 q^{67} +(-50.4656 - 16.3973i) q^{68} +(3.09017 - 2.24514i) q^{69} +(-23.4164 - 17.0130i) q^{70} +(23.5836 + 72.5828i) q^{71} +(-36.6074 + 11.8945i) q^{72} +(60.4656 - 83.2237i) q^{73} +(-17.1885 - 23.6579i) q^{74} +(-3.84346 + 11.8290i) q^{75} -7.19991i q^{76} +(-90.2492 + 62.1087i) q^{77} -5.27864 q^{78} +(-3.74265 - 1.21606i) q^{79} +(-32.1803 + 23.3804i) q^{80} +(-26.7639 - 19.4451i) q^{81} +(15.7533 + 48.4836i) q^{82} +(79.1697 - 25.7238i) q^{83} +(28.0902 - 38.6628i) q^{84} +(35.9311 + 49.4549i) q^{85} +(5.17783 - 15.9357i) q^{86} -39.2833i q^{87} +(-16.9959 - 57.2474i) q^{88} +123.297 q^{89} +(19.5967 + 6.36737i) q^{90} +(-42.3607 + 30.7768i) q^{91} +(7.76393 + 5.64083i) q^{92} +(-3.04257 - 9.36408i) q^{93} +(18.8197 - 6.11488i) q^{94} +(-4.87539 + 6.71040i) q^{95} +(23.5081 + 32.3562i) q^{96} +(-23.9205 + 73.6196i) q^{97} +36.4677i q^{98} +(47.4402 - 61.9044i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q - 5 q^{2} - 9 q^{4} - 4 q^{5} + 15 q^{6} + 10 q^{7} + 15 q^{8} - 11 q^{9}+O(q^{10}) \) 4 * q - 5 * q^2 - 9 * q^4 - 4 * q^5 + 15 * q^6 + 10 * q^7 + 15 * q^8 - 11 * q^9	\( 4 q - 5 q^{2} - 9 q^{4} - 4 q^{5} + 15 q^{6} + 10 q^{7} + 15 q^{8} - 11 q^{9} + q^{11} - 30 q^{12} - 20 q^{13} - 10 q^{14} + 19 q^{16} + 30 q^{18} + 25 q^{19} + 44 q^{20} - 35 q^{22} - 20 q^{23} + 5 q^{24} + 9 q^{25} - 10 q^{26} + 15 q^{27} - 60 q^{28} - 40 q^{29} - 80 q^{30} - 58 q^{31} + 65 q^{33} + 130 q^{34} + 80 q^{35} + 26 q^{36} + 90 q^{37} - 60 q^{38} + 50 q^{39} - 60 q^{40} - 80 q^{41} - 10 q^{42} + 24 q^{44} - 24 q^{45} + 30 q^{46} - 30 q^{47} - 40 q^{48} - 109 q^{49} - 45 q^{50} - 195 q^{51} + 110 q^{52} + 120 q^{53} - 76 q^{55} + 100 q^{56} + 45 q^{57} + 40 q^{58} + 23 q^{59} + 140 q^{60} + 10 q^{61} + 200 q^{62} + 90 q^{63} - 149 q^{64} + 90 q^{66} - 230 q^{67} - 260 q^{68} - 10 q^{69} - 40 q^{70} + 148 q^{71} - 95 q^{72} + 300 q^{73} - 270 q^{74} + 45 q^{75} - 200 q^{77} - 200 q^{78} + 70 q^{79} - 84 q^{80} - 116 q^{81} + 25 q^{82} + 225 q^{83} + 90 q^{84} + 260 q^{85} + 175 q^{86} + 55 q^{88} + 122 q^{89} - 20 q^{90} - 80 q^{91} + 40 q^{92} - 200 q^{93} + 120 q^{94} - 100 q^{95} + 340 q^{96} - 165 q^{97} + 31 q^{99}+O(q^{100}) \) 4 * q - 5 * q^2 - 9 * q^4 - 4 * q^5 + 15 * q^6 + 10 * q^7 + 15 * q^8 - 11 * q^9 + q^11 - 30 * q^12 - 20 * q^13 - 10 * q^14 + 19 * q^16 + 30 * q^18 + 25 * q^19 + 44 * q^20 - 35 * q^22 - 20 * q^23 + 5 * q^24 + 9 * q^25 - 10 * q^26 + 15 * q^27 - 60 * q^28 - 40 * q^29 - 80 * q^30 - 58 * q^31 + 65 * q^33 + 130 * q^34 + 80 * q^35 + 26 * q^36 + 90 * q^37 - 60 * q^38 + 50 * q^39 - 60 * q^40 - 80 * q^41 - 10 * q^42 + 24 * q^44 - 24 * q^45 + 30 * q^46 - 30 * q^47 - 40 * q^48 - 109 * q^49 - 45 * q^50 - 195 * q^51 + 110 * q^52 + 120 * q^53 - 76 * q^55 + 100 * q^56 + 45 * q^57 + 40 * q^58 + 23 * q^59 + 140 * q^60 + 10 * q^61 + 200 * q^62 + 90 * q^63 - 149 * q^64 + 90 * q^66 - 230 * q^67 - 260 * q^68 - 10 * q^69 - 40 * q^70 + 148 * q^71 - 95 * q^72 + 300 * q^73 - 270 * q^74 + 45 * q^75 - 200 * q^77 - 200 * q^78 + 70 * q^79 - 84 * q^80 - 116 * q^81 + 25 * q^82 + 225 * q^83 + 90 * q^84 + 260 * q^85 + 175 * q^86 + 55 * q^88 + 122 * q^89 - 20 * q^90 - 80 * q^91 + 40 * q^92 - 200 * q^93 + 120 * q^94 - 100 * q^95 + 340 * q^96 - 165 * q^97 + 31 * q^99

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