LMFDB - Embedded newform 950.2.n.a.39.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(39,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([3, 0]))

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

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

chi := DirichletCharacter("950.39");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.n (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			39.6
Character	$\chi$	$=$	950.39
Dual form			950.2.n.a.609.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.587785 - 0.809017i) q^{2} +(-0.273661 - 0.0889179i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-1.60391 + 1.55803i) q^{5} +(0.0889179 + 0.273661i) q^{6} -0.224849i q^{7} +(0.951057 - 0.309017i) q^{8} +(-2.36007 - 1.71469i) q^{9} +O(q^{10})$	\(q+(-0.587785 - 0.809017i) q^{2} +(-0.273661 - 0.0889179i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-1.60391 + 1.55803i) q^{5} +(0.0889179 + 0.273661i) q^{6} -0.224849i q^{7} +(0.951057 - 0.309017i) q^{8} +(-2.36007 - 1.71469i) q^{9} +(2.20323 + 0.381801i) q^{10} +(0.957666 - 0.695785i) q^{11} +(0.169132 - 0.232790i) q^{12} +(-1.28103 + 1.76319i) q^{13} +(-0.181907 + 0.132163i) q^{14} +(0.577465 - 0.283757i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(2.86410 - 0.930604i) q^{17} +2.91720i q^{18} +(0.309017 + 0.951057i) q^{19} +(-0.986144 - 2.00687i) q^{20} +(-0.0199931 + 0.0615326i) q^{21} +(-1.12580 - 0.365796i) q^{22} +(0.550122 + 0.757178i) q^{23} -0.287744 q^{24} +(0.145055 - 4.99790i) q^{25} +2.17942 q^{26} +(1.00079 + 1.37747i) q^{27} +(0.213845 + 0.0694823i) q^{28} +(0.935140 - 2.87807i) q^{29} +(-0.568990 - 0.300391i) q^{30} +(0.425863 + 1.31067i) q^{31} +1.00000i q^{32} +(-0.323944 + 0.105256i) q^{33} +(-2.43635 - 1.77011i) q^{34} +(0.350323 + 0.360638i) q^{35} +(2.36007 - 1.71469i) q^{36} +(6.23650 - 8.58381i) q^{37} +(0.587785 - 0.809017i) q^{38} +(0.507348 - 0.368610i) q^{39} +(-1.04395 + 1.97741i) q^{40} +(8.75676 + 6.36216i) q^{41} +(0.0615326 - 0.0199931i) q^{42} -10.6173i q^{43} +(0.365796 + 1.12580i) q^{44} +(6.45688 - 0.926860i) q^{45} +(0.289216 - 0.890116i) q^{46} +(-0.797369 - 0.259081i) q^{47} +(0.169132 + 0.232790i) q^{48} +6.94944 q^{49} +(-4.12864 + 2.82034i) q^{50} -0.866541 q^{51} +(-1.28103 - 1.76319i) q^{52} +(-9.92313 - 3.22422i) q^{53} +(0.526145 - 1.61931i) q^{54} +(-0.451953 + 2.60805i) q^{55} +(-0.0694823 - 0.213845i) q^{56} -0.287744i q^{57} +(-2.87807 + 0.935140i) q^{58} +(10.5036 + 7.63132i) q^{59} +(0.0914227 + 0.636888i) q^{60} +(11.8550 - 8.61313i) q^{61} +(0.810039 - 1.11492i) q^{62} +(-0.385547 + 0.530660i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-0.692451 - 4.82389i) q^{65} +(0.275563 + 0.200208i) q^{66} +(-1.38138 + 0.448839i) q^{67} +3.01150i q^{68} +(-0.0832203 - 0.256126i) q^{69} +(0.0858476 - 0.495395i) q^{70} +(4.77440 - 14.6941i) q^{71} +(-2.77443 - 0.901465i) q^{72} +(1.49768 + 2.06138i) q^{73} -10.6102 q^{74} +(-0.484098 + 1.35483i) q^{75} -1.00000 q^{76} +(-0.156447 - 0.215331i) q^{77} +(-0.596423 - 0.193790i) q^{78} +(3.09813 - 9.53507i) q^{79} +(2.21338 - 0.317722i) q^{80} +(2.55300 + 7.85733i) q^{81} -10.8239i q^{82} +(-9.61289 + 3.12342i) q^{83} +(-0.0523427 - 0.0380292i) q^{84} +(-3.14385 + 5.95498i) q^{85} +(-8.58954 + 6.24067i) q^{86} +(-0.511823 + 0.704464i) q^{87} +(0.695785 - 0.957666i) q^{88} +(-6.64664 + 4.82907i) q^{89} +(-4.54510 - 4.67893i) q^{90} +(0.396452 + 0.288040i) q^{91} +(-0.890116 + 0.289216i) q^{92} -0.396546i q^{93} +(0.259081 + 0.797369i) q^{94} +(-1.97741 - 1.04395i) q^{95} +(0.0889179 - 0.273661i) q^{96} +(2.66373 + 0.865499i) q^{97} +(-4.08478 - 5.62222i) q^{98} -3.45321 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q + 22 q^{4} + 10 q^{5} + 2 q^{6} + 24 q^{9}+O(q^{10}) $ 88 * q + 22 * q^4 + 10 * q^5 + 2 * q^6 + 24 * q^9	$ 88 q + 22 q^{4} + 10 q^{5} + 2 q^{6} + 24 q^{9} + 26 q^{11} + 10 q^{12} - 10 q^{14} + 12 q^{15} - 22 q^{16} - 40 q^{17} - 22 q^{19} + 10 q^{23} + 8 q^{24} + 6 q^{25} - 28 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} - 4 q^{30} + 2 q^{31} - 8 q^{34} - 48 q^{35} - 24 q^{36} + 50 q^{37} + 8 q^{39} + 32 q^{41} + 10 q^{42} + 4 q^{44} - 8 q^{45} + 10 q^{46} + 10 q^{48} - 56 q^{49} + 28 q^{50} - 60 q^{51} - 70 q^{53} - 8 q^{54} + 4 q^{55} + 10 q^{56} - 60 q^{58} - 28 q^{59} - 12 q^{60} - 58 q^{61} + 60 q^{63} + 22 q^{64} - 24 q^{65} + 4 q^{66} - 70 q^{67} - 8 q^{69} - 4 q^{70} + 48 q^{71} + 40 q^{73} + 52 q^{74} + 108 q^{75} - 88 q^{76} - 50 q^{78} - 20 q^{79} + 24 q^{81} - 80 q^{83} + 30 q^{85} + 20 q^{86} + 70 q^{87} + 10 q^{88} - 62 q^{89} - 104 q^{90} + 20 q^{91} - 10 q^{92} - 10 q^{94} + 2 q^{96} - 10 q^{97} + 60 q^{98} + 156 q^{99}+O(q^{100}) $ 88 * q + 22 * q^4 + 10 * q^5 + 2 * q^6 + 24 * q^9 + 26 * q^11 + 10 * q^12 - 10 * q^14 + 12 * q^15 - 22 * q^16 - 40 * q^17 - 22 * q^19 + 10 * q^23 + 8 * q^24 + 6 * q^25 - 28 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 - 4 * q^30 + 2 * q^31 - 8 * q^34 - 48 * q^35 - 24 * q^36 + 50 * q^37 + 8 * q^39 + 32 * q^41 + 10 * q^42 + 4 * q^44 - 8 * q^45 + 10 * q^46 + 10 * q^48 - 56 * q^49 + 28 * q^50 - 60 * q^51 - 70 * q^53 - 8 * q^54 + 4 * q^55 + 10 * q^56 - 60 * q^58 - 28 * q^59 - 12 * q^60 - 58 * q^61 + 60 * q^63 + 22 * q^64 - 24 * q^65 + 4 * q^66 - 70 * q^67 - 8 * q^69 - 4 * q^70 + 48 * q^71 + 40 * q^73 + 52 * q^74 + 108 * q^75 - 88 * q^76 - 50 * q^78 - 20 * q^79 + 24 * q^81 - 80 * q^83 + 30 * q^85 + 20 * q^86 + 70 * q^87 + 10 * q^88 - 62 * q^89 - 104 * q^90 + 20 * q^91 - 10 * q^92 - 10 * q^94 + 2 * q^96 - 10 * q^97 + 60 * q^98 + 156 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$3$	−0.273661	−	0.0889179i	−0.157998	−	0.0513368i	0.228950	−	0.973438i	$-0.426471\pi$
$3$	−0.273661	−	0.0889179i	−0.157998	−	0.0513368i	−0.386948	+	0.922101i	$0.626471\pi$
$4$	−0.309017	+	0.951057i	−0.154508	+	0.475528i
$5$	−1.60391	+	1.55803i	−0.717290	+	0.696774i
$5$	−1.60391	+	1.55803i	−0.717290	+	0.696774i
$6$	0.0889179	+	0.273661i	0.0363006	+	0.111722i
$7$		−	0.224849i		−	0.0849851i	−0.999097	−	0.0424926i	$-0.986470\pi$
$7$		−	0.224849i		−	0.0849851i	0.999097	−	0.0424926i	$-0.0135299\pi$
$8$	0.951057	−	0.309017i	0.336249	−	0.109254i
$9$	−2.36007	−	1.71469i	−0.786689	−	0.571563i
$10$	2.20323	+	0.381801i	0.696723	+	0.120736i
$11$	0.957666	−	0.695785i	0.288747	−	0.209787i	−0.433976	−	0.900924i	$-0.642890\pi$
$11$	0.957666	−	0.695785i	0.288747	−	0.209787i	0.722724	+	0.691137i	$0.242890\pi$
$12$	0.169132	−	0.232790i	0.0488242	−	0.0672007i
$13$	−1.28103	+	1.76319i	−0.355295	+	0.489021i	−0.948830	−	0.315787i	$-0.897732\pi$
$13$	−1.28103	+	1.76319i	−0.355295	+	0.489021i	0.593536	+	0.804808i	$0.297732\pi$
$14$	−0.181907	+	0.132163i	−0.0486167	+	0.0353221i
$15$	0.577465	−	0.283757i	0.149101	−	0.0732658i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	2.86410	−	0.930604i	0.694647	−	0.225705i	0.0596505	−	0.998219i	$-0.481001\pi$
$17$	2.86410	−	0.930604i	0.694647	−	0.225705i	0.634997	+	0.772515i	$0.281001\pi$
$18$			2.91720i			0.687591i
$19$	0.309017	+	0.951057i	0.0708934	+	0.218187i
$19$	0.309017	+	0.951057i	0.0708934	+	0.218187i
$20$	−0.986144	−	2.00687i	−0.220508	−	0.448749i
$21$	−0.0199931	+	0.0615326i	−0.00436286	+	0.0134275i
$22$	−1.12580	−	0.365796i	−0.240022	−	0.0779880i
$23$	0.550122	+	0.757178i	0.114708	+	0.157882i	0.862511	−	0.506039i	$-0.168891\pi$
$23$	0.550122	+	0.757178i	0.114708	+	0.157882i	−0.747802	+	0.663922i	$0.768891\pi$
$24$	−0.287744			−0.0587356
$25$	0.145055	−	4.99790i	0.0290109	−	0.999579i
$26$	2.17942			0.427420
$27$	1.00079	+	1.37747i	0.192602	+	0.265093i
$28$	0.213845	+	0.0694823i	0.0404128	+	0.0131309i
$29$	0.935140	−	2.87807i	0.173651	−	0.534443i	−0.825918	−	0.563790i	$-0.809343\pi$
$29$	0.935140	−	2.87807i	0.173651	−	0.534443i	0.999569	+	0.0293468i	$0.00934270\pi$
$30$	−0.568990	−	0.300391i	−0.103883	−	0.0548436i
$31$	0.425863	+	1.31067i	0.0764872	+	0.235403i	0.981989	−	0.188940i	$-0.0605051\pi$
$31$	0.425863	+	1.31067i	0.0764872	+	0.235403i	−0.905502	+	0.424343i	$0.860505\pi$
$32$			1.00000i			0.176777i
$33$	−0.323944	+	0.105256i	−0.0563914	+	0.0183227i
$34$	−2.43635	−	1.77011i	−0.417831	−	0.303572i
$35$	0.350323	+	0.360638i	0.0592155	+	0.0609590i
$36$	2.36007	−	1.71469i	0.393344	−	0.285782i
$37$	6.23650	−	8.58381i	1.02527	−	1.41117i	0.116836	−	0.993151i	$-0.462725\pi$
$37$	6.23650	−	8.58381i	1.02527	−	1.41117i	0.908438	−	0.418019i	$-0.137275\pi$
$38$	0.587785	−	0.809017i	0.0953514	−	0.131240i
$39$	0.507348	−	0.368610i	0.0812407	−	0.0590248i
$40$	−1.04395	+	1.97741i	−0.165063	+	0.312657i
$41$	8.75676	+	6.36216i	1.36758	+	0.993602i	0.997922	+	0.0644322i	$0.0205236\pi$
$41$	8.75676	+	6.36216i	1.36758	+	0.993602i	0.369654	+	0.929170i	$0.379476\pi$
$42$	0.0615326	−	0.0199931i	0.00949468	−	0.00308501i
$43$		−	10.6173i		−	1.61912i	−0.587040	−	0.809558i	$-0.699707\pi$
$43$		−	10.6173i		−	1.61912i	0.587040	−	0.809558i	$-0.300293\pi$
$44$	0.365796	+	1.12580i	0.0551458	+	0.169721i
$45$	6.45688	−	0.926860i	0.962535	−	0.138168i
$46$	0.289216	−	0.890116i	0.0426426	−	0.131240i
$47$	−0.797369	−	0.259081i	−0.116308	−	0.0377908i	0.250285	−	0.968172i	$-0.419476\pi$
$47$	−0.797369	−	0.259081i	−0.116308	−	0.0377908i	−0.366593	+	0.930381i	$0.619476\pi$
$48$	0.169132	+	0.232790i	0.0244121	+	0.0336003i
$49$	6.94944			0.992778
$50$	−4.12864	+	2.82034i	−0.583878	+	0.398856i
$51$	−0.866541			−0.121340
$52$	−1.28103	−	1.76319i	−0.177647	−	0.244511i
$53$	−9.92313	−	3.22422i	−1.36305	−	0.442881i	−0.465988	−	0.884791i	$-0.654301\pi$
$53$	−9.92313	−	3.22422i	−1.36305	−	0.442881i	−0.897059	+	0.441910i	$0.854301\pi$
$54$	0.526145	−	1.61931i	0.0715993	−	0.220360i
$55$	−0.451953	+	2.60805i	−0.0609413	+	0.351670i
$56$	−0.0694823	−	0.213845i	−0.00928496	−	0.0285762i
$57$		−	0.287744i		−	0.0381127i
$58$	−2.87807	+	0.935140i	−0.377908	+	0.122790i
$59$	10.5036	+	7.63132i	1.36745	+	0.993513i	0.997931	+	0.0642917i	$0.0204788\pi$
$59$	10.5036	+	7.63132i	1.36745	+	0.993513i	0.369523	+	0.929222i	$0.379521\pi$
$60$	0.0914227	+	0.636888i	0.0118026	+	0.0822218i
$61$	11.8550	−	8.61313i	1.51787	−	1.10280i	0.555342	−	0.831622i	$-0.312587\pi$
$61$	11.8550	−	8.61313i	1.51787	−	1.10280i	0.962530	−	0.271177i	$-0.0874127\pi$
$62$	0.810039	−	1.11492i	0.102875	−	0.141595i
$63$	−0.385547	+	0.530660i	−0.0485744	+	0.0668569i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	−0.692451	−	4.82389i	−0.0858880	−	0.598330i
$66$	0.275563	+	0.200208i	0.0339195	+	0.0246439i
$67$	−1.38138	+	0.448839i	−0.168763	+	0.0548344i	−0.392180	−	0.919889i	$-0.628279\pi$
$67$	−1.38138	+	0.448839i	−0.168763	+	0.0548344i	0.223417	+	0.974723i	$0.428279\pi$
$68$			3.01150i			0.365198i
$69$	−0.0832203	−	0.256126i	−0.0100185	−	0.0308339i
$70$	0.0858476	−	0.495395i	0.0102608	−	0.0592111i
$71$	4.77440	−	14.6941i	0.566617	−	1.74387i	−0.0964792	−	0.995335i	$-0.530758\pi$
$71$	4.77440	−	14.6941i	0.566617	−	1.74387i	0.663097	−	0.748534i	$-0.269242\pi$
$72$	−2.77443	−	0.901465i	−0.326969	−	0.106239i
$73$	1.49768	+	2.06138i	0.175290	+	0.241266i	0.887618	−	0.460581i	$-0.152359\pi$
$73$	1.49768	+	2.06138i	0.175290	+	0.241266i	−0.712328	+	0.701847i	$0.752359\pi$
$74$	−10.6102			−1.23341
$75$	−0.484098	+	1.35483i	−0.0558988	+	0.156442i
$76$	−1.00000			−0.114708
$77$	−0.156447	−	0.215331i	−0.0178288	−	0.0245392i
$78$	−0.596423	−	0.193790i	−0.0675316	−	0.0219424i
$79$	3.09813	−	9.53507i	0.348567	−	1.07278i	−0.611079	−	0.791570i	$-0.709264\pi$
$79$	3.09813	−	9.53507i	0.348567	−	1.07278i	0.959646	−	0.281210i	$-0.0907357\pi$
$80$	2.21338	−	0.317722i	0.247463	−	0.0355224i
$81$	2.55300	+	7.85733i	0.283667	+	0.873037i
$82$		−	10.8239i		−	1.19530i
$83$	−9.61289	+	3.12342i	−1.05515	+	0.342840i	−0.784688	−	0.619890i	$-0.787177\pi$
$83$	−9.61289	+	3.12342i	−1.05515	+	0.342840i	−0.270464	+	0.962730i	$0.587177\pi$
$84$	−0.0523427	−	0.0380292i	−0.00571106	−	0.00414933i
$85$	−3.14385	+	5.95498i	−0.340999	+	0.645908i
$86$	−8.58954	+	6.24067i	−0.926234	+	0.672948i
$87$	−0.511823	+	0.704464i	−0.0548732	+	0.0755264i
$88$	0.695785	−	0.957666i	0.0741710	−	0.102088i
$89$	−6.64664	+	4.82907i	−0.704543	+	0.511880i	−0.881409	−	0.472355i	$-0.843404\pi$
$89$	−6.64664	+	4.82907i	−0.704543	+	0.511880i	0.176866	+	0.984235i	$0.443404\pi$
$90$	−4.54510	−	4.67893i	−0.479096	−	0.493203i
$91$	0.396452	+	0.288040i	0.0415595	+	0.0301947i
$92$	−0.890116	+	0.289216i	−0.0928010	+	0.0301529i
$93$		−	0.396546i		−	0.0411199i
$94$	0.259081	+	0.797369i	0.0267222	+	0.0822423i
$95$	−1.97741	−	1.04395i	−0.202878	−	0.107107i
$96$	0.0889179	−	0.273661i	0.00907514	−	0.0279304i
$97$	2.66373	+	0.865499i	0.270461	+	0.0878781i	0.441108	−	0.897454i	$-0.354586\pi$
$97$	2.66373	+	0.865499i	0.270461	+	0.0878781i	−0.170647	+	0.985332i	$0.554586\pi$
$98$	−4.08478	−	5.62222i	−0.412625	−	0.567930i
$99$	−3.45321			−0.347061
$100$	4.70846	+	1.68239i	0.470846	+	0.168239i
$101$	−4.76734			−0.474368			−0.237184	−	0.971465i	$-0.576224\pi$
$101$	−4.76734			−0.474368			−0.237184	+	0.971465i	$0.576224\pi$
$102$	0.509340	+	0.701047i	0.0504322	+	0.0694140i
$103$	−4.51897	−	1.46830i	−0.445267	−	0.144676i	0.0777974	−	0.996969i	$-0.475211\pi$
$103$	−4.51897	−	1.46830i	−0.445267	−	0.144676i	−0.523064	+	0.852293i	$0.675211\pi$
$104$	−0.673479	+	2.07275i	−0.0660400	+	0.203250i
$105$	−0.0638027	−	0.129843i	−0.00622650	−	0.0126713i
$106$	3.22422	+	9.92313i	0.313164	+	0.963820i
$107$		−	16.5690i		−	1.60179i	−0.598806	−	0.800894i	$-0.704358\pi$
$107$		−	16.5690i		−	1.60179i	0.598806	−	0.800894i	$-0.295642\pi$
$108$	−1.61931	+	0.526145i	−0.155818	+	0.0506283i
$109$	−4.98582	−	3.62241i	−0.477554	−	0.346964i	0.322824	−	0.946459i	$-0.395368\pi$
$109$	−4.98582	−	3.62241i	−0.477554	−	0.346964i	−0.800378	+	0.599495i	$0.795368\pi$
$110$	2.37561	−	1.16734i	0.226506	−	0.111301i
$111$	−2.46994	+	1.79452i	−0.234437	+	0.170328i
$112$	−0.132163	+	0.181907i	−0.0124882	+	0.0171886i
$113$	−0.751898	+	1.03490i	−0.0707326	+	0.0973551i	−0.842918	−	0.538043i	$-0.819164\pi$
$113$	−0.751898	+	1.03490i	−0.0707326	+	0.0973551i	0.772185	+	0.635398i	$0.219164\pi$
$114$	−0.232790	+	0.169132i	−0.0218028	+	0.0158406i
$115$	−2.06206	−	0.357336i	−0.192288	−	0.0333218i
$116$	2.44823	+	1.77874i	0.227312	+	0.165152i
$117$	6.04665	−	1.96467i	0.559013	−	0.181634i
$118$		−	12.9832i		−	1.19520i
$119$	−0.209246	−	0.643992i	−0.0191815	−	0.0590347i
$120$	0.461516	−	0.448316i	0.0421304	−	0.0409254i
$121$	−2.96618	+	9.12896i	−0.269653	+	0.829906i
$122$	−13.9363	−	4.52819i	−1.26174	−	0.409963i
$123$	−1.83067	−	2.51971i	−0.165066	−	0.227194i
$124$	−1.37812			−0.123759
$125$	7.55424	+	8.24217i	0.675672	+	0.737202i
$126$	0.655932			0.0584350
$127$	1.42972	+	1.96785i	0.126868	+	0.174618i	0.867726	−	0.497043i	$-0.165581\pi$
$127$	1.42972	+	1.96785i	0.126868	+	0.174618i	−0.740858	+	0.671661i	$0.765581\pi$
$128$	−0.951057	−	0.309017i	−0.0840623	−	0.0273135i
$129$	−0.944064	+	2.90553i	−0.0831202	+	0.255818i
$130$	−3.49560	+	3.39562i	−0.306584	+	0.297815i
$131$	3.22937	+	9.93898i	0.282151	+	0.868373i	0.987238	+	0.159252i	$0.0509081\pi$
$131$	3.22937	+	9.93898i	0.282151	+	0.868373i	−0.705087	+	0.709121i	$0.749092\pi$
$132$		−	0.340615i		−	0.0296467i
$133$	0.213845	−	0.0694823i	0.0185427	−	0.00602488i
$134$	1.17507	+	0.853742i	0.101511	+	0.0737521i
$135$	−3.75131	−	0.650069i	−0.322862	−	0.0559491i
$136$	2.43635	−	1.77011i	0.208916	−	0.151786i
$137$	−8.88470	+	12.2287i	−0.759071	+	1.04477i	0.238220	+	0.971211i	$0.423436\pi$
$137$	−8.88470	+	12.2287i	−0.759071	+	1.04477i	−0.997291	+	0.0735604i	$0.976564\pi$
$138$	−0.158294	+	0.217874i	−0.0134749	+	0.0185466i
$139$	8.20153	−	5.95876i	0.695645	−	0.505415i	−0.182866	−	0.983138i	$-0.558538\pi$
$139$	8.20153	−	5.95876i	0.695645	−	0.505415i	0.878511	+	0.477722i	$0.158538\pi$
$140$	−0.451243	+	0.221734i	−0.0381370	+	0.0187399i
$141$	0.195172	+	0.141801i	0.0164364	+	0.0119418i
$142$	−14.6941	+	4.77440i	−1.23310	+	0.400659i
$143$			2.57987i			0.215740i
$144$	0.901465	+	2.77443i	0.0751221	+	0.231202i
$145$	2.98425	+	6.07314i	0.247828	+	0.504347i
$146$	0.787376	−	2.42329i	0.0651637	−	0.200553i
$147$	−1.90179	−	0.617930i	−0.156857	−	0.0509660i
$148$	6.23650	+	8.58381i	0.512637	+	0.705585i
$149$	−0.674351			−0.0552450			−0.0276225	−	0.999618i	$-0.508794\pi$
$149$	−0.674351			−0.0552450			−0.0276225	+	0.999618i	$0.508794\pi$
$150$	1.38063	−	0.404706i	0.112728	−	0.0330441i
$151$	13.5988			1.10665			0.553327	−	0.832964i	$-0.313358\pi$
$151$	13.5988			1.10665			0.553327	+	0.832964i	$0.313358\pi$
$152$	0.587785	+	0.809017i	0.0476757	+	0.0656199i
$153$	−8.35517	−	2.71476i	−0.675476	−	0.219475i
$154$	−0.0822490	+	0.253136i	−0.00662782	+	0.0203983i
$155$	−2.72511	−	1.43869i	−0.218887	−	0.115558i
$156$	0.193790	+	0.596423i	0.0155156	+	0.0477521i
$157$		−	16.9634i		−	1.35382i	−0.736064	−	0.676911i	$-0.763318\pi$
$157$		−	16.9634i		−	1.35382i	0.736064	−	0.676911i	$-0.236682\pi$
$158$	−9.53507	+	3.09813i	−0.758570	+	0.246474i
$159$	2.42888	+	1.76469i	0.192623	+	0.139949i
$160$	−1.55803	−	1.60391i	−0.123173	−	0.126800i
$161$	0.170251	−	0.123695i	0.0134177	−	0.00974850i
$162$	4.85610	−	6.68384i	0.381531	−	0.525132i
$163$	5.22417	−	7.19046i	0.409189	−	0.563200i	−0.553831	−	0.832629i	$-0.686835\pi$
$163$	5.22417	−	7.19046i	0.409189	−	0.563200i	0.963020	+	0.269429i	$0.0868348\pi$
$164$	−8.75676	+	6.36216i	−0.683788	+	0.496801i
$165$	0.355585	−	0.673536i	0.0276822	−	0.0524347i
$166$	8.17722	+	5.94110i	0.634675	+	0.461118i
$167$	4.11348	−	1.33655i	0.318310	−	0.103425i	−0.145504	−	0.989358i	$-0.546480\pi$
$167$	4.11348	−	1.33655i	0.318310	−	0.103425i	0.463815	+	0.885932i	$0.346480\pi$
$168$			0.0646992i			0.00499165i
$169$	2.54943	+	7.84633i	0.196110	+	0.603564i
$170$	6.66559	−	0.956819i	0.511227	−	0.0733847i
$171$	0.901465	−	2.77443i	0.0689368	−	0.212166i
$172$	10.0976	+	3.28091i	0.769935	+	0.250167i
$173$	0.502305	+	0.691364i	0.0381896	+	0.0525634i	0.827685	−	0.561193i	$-0.189658\pi$
$173$	0.502305	+	0.691364i	0.0381896	+	0.0525634i	−0.789495	+	0.613757i	$0.789658\pi$
$174$	0.870765			0.0660125
$175$	−1.12377	−	0.0326154i	−0.0849493	−	0.00246549i
$176$	−1.18374			−0.0892278
$177$	−2.19587	−	3.02235i	−0.165052	−	0.227174i
$178$	7.81360	+	2.53879i	0.585654	+	0.190290i
$179$	−2.96446	+	9.12367i	−0.221574	+	0.681935i	0.777047	+	0.629442i	$0.216717\pi$
$179$	−2.96446	+	9.12367i	−0.221574	+	0.681935i	−0.998621	+	0.0524926i	$0.983283\pi$
$180$	−1.11379	+	6.42727i	−0.0830170	+	0.479061i
$181$	−5.02704	−	15.4716i	−0.373657	−	1.15000i	−0.944380	−	0.328856i	$-0.893337\pi$
$181$	−5.02704	−	15.4716i	−0.373657	−	1.15000i	0.570723	−	0.821143i	$-0.306663\pi$
$182$		−	0.490042i		−	0.0363243i
$183$	−4.01010	+	1.30296i	−0.296435	+	0.0963177i
$184$	0.757178	+	0.550122i	0.0558199	+	0.0405555i
$185$	3.37109	+	23.4844i	0.247847	+	1.72660i
$186$	−0.320813	+	0.233084i	−0.0235231	+	0.0170905i
$187$	2.09536	−	2.88401i	0.153228	−	0.210900i
$188$	0.492801	−	0.678283i	0.0359412	−	0.0494688i
$189$	0.309722	−	0.225027i	0.0225290	−	0.0163683i
$190$	0.317722	+	2.21338i	0.0230500	+	0.160575i
$191$	13.0549	+	9.48497i	0.944622	+	0.686308i	0.949529	−	0.313680i	$-0.101562\pi$
$191$	13.0549	+	9.48497i	0.944622	+	0.686308i	−0.00490662	+	0.999988i	$0.501562\pi$
$192$	−0.273661	+	0.0889179i	−0.0197498	+	0.00641710i
$193$			24.1309i			1.73698i	0.495705	+	0.868491i	$0.334910\pi$
$193$			24.1309i			1.73698i	−0.495705	+	0.868491i	$0.665090\pi$
$194$	−0.865499	−	2.66373i	−0.0621392	−	0.191245i
$195$	−0.239433	+	1.38168i	−0.0171462	+	0.0989444i
$196$	−2.14750	+	6.60931i	−0.153393	+	0.472094i
$197$	8.91303	+	2.89602i	0.635027	+	0.206333i	0.608801	−	0.793323i	$-0.291651\pi$
$197$	8.91303	+	2.89602i	0.635027	+	0.206333i	0.0262264	+	0.999656i	$0.491651\pi$
$198$	2.02975	+	2.79371i	0.144248	+	0.198540i
$199$	−12.5007			−0.886151			−0.443075	−	0.896484i	$-0.646113\pi$
$199$	−12.5007			−0.886151			−0.443075	+	0.896484i	$0.646113\pi$
$200$	−1.40648	−	4.79811i	−0.0994531	−	0.339277i
$201$	0.417941			0.0294793
$202$	2.80217	+	3.85686i	0.197160	+	0.271368i
$203$	−0.647132	−	0.210266i	−0.0454197	−	0.0147578i
$204$	0.267776	−	0.824130i	0.0187481	−	0.0577006i
$205$	−23.9575	+	3.43901i	−1.67327	+	0.240191i
$206$	1.46830	+	4.51897i	0.102301	+	0.314851i
$207$		−	2.73028i		−	0.189767i
$208$	2.07275	−	0.673479i	0.143720	−	0.0466974i
$209$	0.957666	+	0.695785i	0.0662432	+	0.0481285i
$210$	−0.0675427	+	0.127937i	−0.00466089	+	0.00882850i
$211$	22.4297	−	16.2961i	1.54412	−	1.12187i	0.596442	−	0.802656i	$-0.296581\pi$
$211$	22.4297	−	16.2961i	1.54412	−	1.12187i	0.947682	−	0.319215i	$-0.103419\pi$
$212$	6.13283	−	8.44112i	0.421205	−	0.579739i
$213$	−2.61314	+	3.59667i	−0.179049	+	0.246440i
$214$	−13.4046	+	9.73903i	−0.916321	+	0.665746i
$215$	16.5421	+	17.0291i	1.12816	+	1.16138i
$216$	1.37747	+	1.00079i	0.0937247	+	0.0680950i
$217$	0.294704	−	0.0957550i	0.0200058	−	0.00650027i
$218$			6.16281i			0.417398i
$219$	−0.226563	−	0.697289i	−0.0153097	−	0.0471184i
$220$	−2.34075	−	1.23577i	−0.157813	−	0.0833153i
$221$	−2.02818	+	6.24209i	−0.136430	+	0.419889i
$222$	2.90359	+	0.943434i	0.194876	+	0.0633192i
$223$	−15.4352	−	21.2447i	−1.03362	−	1.42265i	−0.902197	−	0.431324i	$-0.858047\pi$
$223$	−15.4352	−	21.2447i	−1.03362	−	1.42265i	−0.131419	−	0.991327i	$-0.541953\pi$
$224$	0.224849			0.0150234
$225$	−8.91217	+	11.5466i	−0.594145	+	0.769776i
$226$	1.27921			0.0850915
$227$	−2.30560	−	3.17338i	−0.153028	−	0.210625i	0.725619	−	0.688096i	$-0.241553\pi$
$227$	−2.30560	−	3.17338i	−0.153028	−	0.210625i	−0.878647	+	0.477472i	$0.841553\pi$
$228$	0.273661	+	0.0889179i	0.0181236	+	0.00588873i
$229$	−1.81762	+	5.59405i	−0.120111	+	0.369665i	−0.992979	−	0.118293i	$-0.962258\pi$
$229$	−1.81762	+	5.59405i	−0.120111	+	0.369665i	0.872867	+	0.487958i	$0.162258\pi$
$230$	0.922955	+	1.87827i	0.0608578	+	0.123850i
$231$	0.0236667	+	0.0728386i	0.00155715	+	0.00479243i
$232$		−	3.02618i		−	0.198678i
$233$	9.51138	−	3.09043i	0.623111	−	0.202461i	0.0195900	−	0.999808i	$-0.493764\pi$
$233$	9.51138	−	3.09043i	0.623111	−	0.202461i	0.603521	+	0.797347i	$0.293764\pi$
$234$	−5.14358	−	3.73703i	−0.336247	−	0.244297i
$235$	1.68257	−	0.826786i	0.109758	−	0.0539336i
$236$	−10.5036	+	7.63132i	−0.683727	+	0.496757i
$237$	−1.69568	+	2.33390i	−0.110146	+	0.151603i
$238$	−0.398009	+	0.547813i	−0.0257991	+	0.0355094i
$239$	−19.6820	+	14.2998i	−1.27312	+	0.924979i	−0.999322	−	0.0368076i	$-0.988281\pi$
$239$	−19.6820	+	14.2998i	−1.27312	+	0.924979i	−0.273802	+	0.961786i	$0.588281\pi$
$240$	−0.633967	−	0.109861i	−0.0409224	−	0.00709149i
$241$	10.8410	+	7.87647i	0.698333	+	0.507368i	0.879389	−	0.476104i	$-0.157952\pi$
$241$	10.8410	+	7.87647i	0.698333	+	0.507368i	−0.181056	+	0.983473i	$0.557952\pi$
$242$	9.12896	−	2.96618i	0.586832	−	0.190673i
$243$		−	7.48518i		−	0.480174i
$244$	4.52819	+	13.9363i	0.289888	+	0.892183i
$245$	−11.1463	+	10.8275i	−0.712110	+	0.691742i
$246$	−0.962442	+	2.96209i	−0.0613631	+	0.188856i
$247$	−2.07275	−	0.673479i	−0.131886	−	0.0428524i
$248$	0.810039	+	1.11492i	0.0514375	+	0.0707977i
$249$	2.90840			0.184313
$250$	2.22779	−	10.9561i	0.140898	−	0.692927i
$251$	−28.2648			−1.78406			−0.892028	−	0.451981i	$-0.850718\pi$
$251$	−28.2648			−1.78406			−0.892028	+	0.451981i	$0.850718\pi$
$252$	−0.385547	−	0.530660i	−0.0242872	−	0.0334284i
$253$	1.05367	+	0.342357i	0.0662434	+	0.0215238i
$254$	0.751651	−	2.31334i	0.0471628	−	0.145152i
$255$	1.38985	−	1.35010i	0.0870360	−	0.0845466i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$		−	1.33119i		−	0.0830371i	−0.999138	−	0.0415185i	$-0.986780\pi$
$257$		−	1.33119i		−	0.0830371i	0.999138	−	0.0415185i	$-0.0132196\pi$
$258$	2.90553	−	0.944064i	0.180890	−	0.0587748i
$259$	−1.93007	−	1.40227i	−0.119928	−	0.0871331i
$260$	4.80177	+	0.832105i	0.297793	+	0.0516050i
$261$	−7.14198	+	5.18895i	−0.442077	+	0.321188i
$262$	6.14263	−	8.45460i	0.379493	−	0.522327i
$263$	−3.23227	+	4.44884i	−0.199310	+	0.274327i	−0.896960	−	0.442112i	$-0.854229\pi$
$263$	−3.23227	+	4.44884i	−0.199310	+	0.274327i	0.697649	+	0.716439i	$0.254229\pi$
$264$	−0.275563	+	0.200208i	−0.0169597	+	0.0123220i
$265$	20.9393	−	10.2892i	1.28629	−	0.632062i
$266$	−0.181907	−	0.132163i	−0.0111534	−	0.00810345i
$267$	2.24832	−	0.730523i	0.137595	−	0.0447073i
$268$		−	1.45247i		−	0.0887239i
$269$	6.38185	+	19.6413i	0.389108	+	1.19755i	0.933456	+	0.358692i	$0.116777\pi$
$269$	6.38185	+	19.6413i	0.389108	+	1.19755i	−0.544348	+	0.838860i	$0.683223\pi$
$270$	1.67905	+	3.41698i	0.102184	+	0.207951i
$271$	6.74481	−	20.7584i	0.409718	−	1.26098i	−0.507173	−	0.861844i	$-0.669309\pi$
$271$	6.74481	−	20.7584i	0.409718	−	1.26098i	0.916891	−	0.399138i	$-0.130691\pi$
$272$	−2.86410	−	0.930604i	−0.173662	−	0.0564261i
$273$	−0.0828817	−	0.114077i	−0.00501623	−	0.00690425i
$274$	15.1156			0.913164
$275$	−3.33855	−	4.88724i	−0.201322	−	0.294712i
$276$	0.269307			0.0162104
$277$	11.9695	+	16.4745i	0.719175	+	0.989859i	0.999551	+	0.0299689i	$0.00954084\pi$
$277$	11.9695	+	16.4745i	0.719175	+	0.989859i	−0.280376	+	0.959890i	$0.590459\pi$
$278$	−9.64148	−	3.13271i	−0.578257	−	0.187887i
$279$	1.24233	−	3.82349i	0.0743762	−	0.228906i
$280$	0.444621	+	0.234732i	0.0265712	+	0.0140279i
$281$	−2.74010	−	8.43315i	−0.163460	−	0.503079i	0.835459	−	0.549553i	$-0.185202\pi$
$281$	−2.74010	−	8.43315i	−0.163460	−	0.503079i	−0.998920	+	0.0464732i	$0.985202\pi$
$282$		−	0.241246i		−	0.0143660i
$283$	−10.1994	+	3.31397i	−0.606289	+	0.196995i	−0.596043	−	0.802952i	$-0.703261\pi$
$283$	−10.1994	+	3.31397i	−0.606289	+	0.196995i	−0.0102457	+	0.999948i	$0.503261\pi$
$284$	12.4995	+	9.08145i	0.741712	+	0.538885i
$285$	0.448316	+	0.461516i	0.0265559	+	0.0273378i
$286$	2.08716	−	1.51641i	0.123416	−	0.0896672i
$287$	1.43053	−	1.96895i	0.0844414	−	0.116224i
$288$	1.71469	−	2.36007i	0.101039	−	0.139068i
$289$	−6.41622	+	4.66166i	−0.377425	+	0.274215i
$290$	3.15918	−	5.98401i	0.185513	−	0.351393i
$291$	−0.652002	−	0.473707i	−0.0382210	−	0.0277692i
$292$	−2.42329	+	0.787376i	−0.141813	+	0.0460777i
$293$		−	1.98024i		−	0.115687i	−0.998326	−	0.0578433i	$-0.981578\pi$
$293$		−	1.98024i		−	0.115687i	0.998326	−	0.0578433i	$-0.0184224\pi$
$294$	0.617930	+	1.90179i	0.0360384	+	0.110915i
$295$	−28.7367	+	4.12504i	−1.67312	+	0.240169i
$296$	3.27872	−	10.0909i	0.190572	−	0.586520i
$297$	1.91684	+	0.622819i	0.111226	+	0.0361396i
$298$	0.396374	+	0.545561i	0.0229613	+	0.0316035i
$299$	−2.03977			−0.117963
$300$	−1.13893	−	0.879071i	−0.0657560	−	0.0507532i
$301$	−2.38728			−0.137601
$302$	−7.99317	−	11.0017i	−0.459955	−	0.633074i
$303$	1.30464	+	0.423902i	0.0749493	+	0.0243525i
$304$	0.309017	−	0.951057i	0.0177233	−	0.0545468i
$305$	−5.59473	+	32.2851i	−0.320353	+	1.84864i
$306$	2.71476	+	8.35517i	0.155193	+	0.477633i
$307$			13.6671i			0.780025i	0.920810	+	0.390012i	$0.127529\pi$
$307$			13.6671i			0.780025i	−0.920810	+	0.390012i	$0.872471\pi$
$308$	0.253136	−	0.0822490i	0.0144238	−	0.00468657i
$309$	1.10611	+	0.803634i	0.0629242	+	0.0457171i
$310$	0.437859	+	3.05030i	0.0248687	+	0.173246i
$311$	12.4520	−	9.04689i	0.706087	−	0.513002i	−0.175822	−	0.984422i	$-0.556258\pi$
$311$	12.4520	−	9.04689i	0.706087	−	0.513002i	0.881909	+	0.471420i	$0.156258\pi$
$312$	0.368610	−	0.507348i	0.0208684	−	0.0287229i
$313$	−13.6411	+	18.7754i	−0.771041	+	1.06125i	0.225173	+	0.974319i	$0.427705\pi$
$313$	−13.6411	+	18.7754i	−0.771041	+	1.06125i	−0.996215	+	0.0869284i	$0.972295\pi$
$314$	−13.7236	+	9.97081i	−0.774470	+	0.562685i
$315$	−0.208404	−	1.45183i	−0.0117422	−	0.0818011i
$316$	8.11102	+	5.89300i	0.456280	+	0.331507i
$317$	6.35919	−	2.06623i	0.357168	−	0.116051i	−0.124936	−	0.992165i	$-0.539873\pi$
$317$	6.35919	−	2.06623i	0.357168	−	0.116051i	0.482104	+	0.876114i	$0.339873\pi$
$318$		−	3.00227i		−	0.168359i
$319$	−1.10696	−	3.40688i	−0.0619780	−	0.190749i
$320$	−0.381801	+	2.20323i	−0.0213433	+	0.123164i
$321$	−1.47328	+	4.53430i	−0.0822306	+	0.253080i
$322$	−0.200142	−	0.0650301i	−0.0111535	−	0.00362399i
$323$	1.77011	+	2.43635i	0.0984918	+	0.135562i
$324$	−8.26168			−0.458982
$325$	8.62642	+	6.65823i	0.478508	+	0.369332i
$326$	−8.88790			−0.492255
$327$	1.04233	+	1.43464i	0.0576408	+	0.0793358i
$328$	10.2942	+	3.34478i	0.568401	+	0.184685i
$329$	−0.0582542	+	0.179288i	−0.00321166	+	0.00988447i
$330$	−0.753910	+	0.108221i	−0.0415014	+	0.00595736i
$331$	−6.40768	−	19.7208i	−0.352198	−	1.08395i	−0.957616	−	0.288046i	$-0.906994\pi$
$331$	−6.40768	−	19.7208i	−0.352198	−	1.08395i	0.605419	−	0.795907i	$-0.293006\pi$
$332$		−	10.1076i		−	0.554726i
$333$	−29.4371	+	9.56470i	−1.61314	+	0.524143i
$334$	−3.49913	−	2.54227i	−0.191464	−	0.139107i
$335$	1.51631	−	2.87214i	0.0828448	−	0.156922i
$336$	0.0523427	−	0.0380292i	0.00285553	−	0.00207466i
$337$	14.5182	−	19.9827i	0.790859	−	1.08852i	−0.203141	−	0.979149i	$-0.565115\pi$
$337$	14.5182	−	19.9827i	0.790859	−	1.08852i	0.994001	−	0.109375i	$-0.0348850\pi$
$338$	4.84930	−	6.67448i	0.263767	−	0.363044i
$339$	0.297786	−	0.216354i	0.0161735	−	0.0117508i
$340$	−4.69202	−	4.83017i	−0.254460	−	0.261953i
$341$	1.31978	+	0.958876i	0.0714700	+	0.0519260i
$342$	−2.77443	+	0.901465i	−0.150024	+	0.0487457i
$343$		−	3.13653i		−	0.169356i
$344$	−3.28091	−	10.0976i	−0.176895	−	0.544427i
$345$	0.532531	+	0.281143i	0.0286705	+	0.0151362i
$346$	0.264077	−	0.812747i	0.0141969	−	0.0436935i
$347$	17.1910	+	5.58568i	0.922859	+	0.299855i	0.731639	−	0.681692i	$-0.238756\pi$
$347$	17.1910	+	5.58568i	0.922859	+	0.299855i	0.191220	+	0.981547i	$0.438756\pi$
$348$	−0.511823	−	0.704464i	−0.0274366	−	0.0377632i
$349$	−8.40767			−0.450052			−0.225026	−	0.974353i	$-0.572247\pi$
$349$	−8.40767			−0.450052			−0.225026	+	0.974353i	$0.572247\pi$
$350$	0.634151	+	0.928323i	0.0338968	+	0.0496210i
$351$	−3.71078			−0.198067
$352$	0.695785	+	0.957666i	0.0370855	+	0.0510438i
$353$	−14.3980	−	4.67821i	−0.766331	−	0.248996i	−0.100337	−	0.994953i	$-0.531992\pi$
$353$	−14.3980	−	4.67821i	−0.766331	−	0.248996i	−0.665993	+	0.745958i	$0.731992\pi$
$354$	−1.15444	+	3.55299i	−0.0613576	+	0.188839i
$355$	15.2362	+	31.0067i	0.808654	+	1.64566i
$356$	−2.53879	−	7.81360i	−0.134556	−	0.414120i
$357$			0.194841i			0.0103121i
$358$	9.12367	−	2.96446i	0.482201	−	0.156677i
$359$	7.25239	+	5.26917i	0.382766	+	0.278096i	0.762485	−	0.647006i	$-0.223979\pi$
$359$	7.25239	+	5.26917i	0.382766	+	0.278096i	−0.379719	+	0.925102i	$0.623979\pi$
$360$	5.85444	−	2.87678i	0.308556	−	0.151620i
$361$	−0.809017	+	0.587785i	−0.0425798	+	0.0309361i
$362$	−9.56200	+	13.1610i	−0.502568	+	0.691725i
$363$	1.62346	−	2.23450i	0.0852093	−	0.117281i
$364$	−0.396452	+	0.288040i	−0.0207798	+	0.0150974i
$365$	−5.61384	−	0.972828i	−0.293842	−	0.0509202i
$366$	3.41120	+	2.47838i	0.178306	+	0.129547i
$367$	6.84304	−	2.22344i	0.357204	−	0.116062i	−0.124917	−	0.992167i	$-0.539867\pi$
$367$	6.84304	−	2.22344i	0.357204	−	0.116062i	0.482121	+	0.876105i	$0.339867\pi$
$368$		−	0.935923i		−	0.0487884i
$369$	−9.75741	−	30.0302i	−0.507951	−	1.56331i
$370$	17.0178	−	16.5310i	0.884711	−	0.859407i
$371$	−0.724965	+	2.23121i	−0.0376383	+	0.115839i
$372$	0.377138	+	0.122540i	0.0195537	+	0.00635338i
$373$	−20.6099	−	28.3671i	−1.06714	−	1.46879i	−0.872938	−	0.487831i	$-0.837788\pi$
$373$	−20.6099	−	28.3671i	−1.06714	−	1.46879i	−0.194202	−	0.980962i	$-0.562212\pi$
$374$	−3.56483			−0.184333
$375$	−1.33443	−	2.92727i	−0.0689094	−	0.151164i
$376$	−0.838403			−0.0432374
$377$	3.87663	+	5.33573i	0.199657	+	0.274804i
$378$	−0.364101	−	0.118303i	−0.0187273	−	0.00608487i
$379$	3.98266	−	12.2574i	0.204576	−	0.629619i	−0.795155	−	0.606406i	$-0.792610\pi$
$379$	3.98266	−	12.2574i	0.204576	−	0.629619i	0.999731	−	0.0232127i	$-0.00738951\pi$
$380$	1.60391	−	1.55803i	0.0822788	−	0.0799255i
$381$	−0.216283	−	0.665651i	−0.0110805	−	0.0341023i
$382$		−	16.1368i		−	0.825630i
$383$	26.0189	−	8.45407i	1.32951	−	0.431983i	0.443757	−	0.896147i	$-0.353645\pi$
$383$	26.0189	−	8.45407i	1.32951	−	0.431983i	0.885749	+	0.464165i	$0.153645\pi$
$384$	0.232790	+	0.169132i	0.0118795	+	0.00863097i
$385$	0.586420	+	0.101621i	0.0298867	+	0.00517910i
$386$	19.5223	−	14.1838i	0.993660	−	0.721936i
$387$	−18.2053	+	25.0574i	−0.925427	+	1.27374i
$388$	−1.64628	+	2.26591i	−0.0835771	+	0.115034i
$389$	−1.13699	+	0.826070i	−0.0576476	+	0.0418834i	−0.616236	−	0.787562i	$-0.711343\pi$
$389$	−1.13699	+	0.826070i	−0.0576476	+	0.0418834i	0.558588	+	0.829445i	$0.311343\pi$
$390$	1.25854	−	0.618427i	0.0637287	−	0.0313153i
$391$	2.28024	+	1.65669i	0.115317	+	0.0837824i
$392$	6.60931	−	2.14750i	0.333821	−	0.108465i
$393$		−	3.00706i		−	0.151686i
$394$	−2.89602	−	8.91303i	−0.145899	−	0.449032i
$395$	9.88685	+	20.1204i	0.497461	+	1.01237i
$396$	1.06710	−	3.28420i	0.0536238	−	0.165037i
$397$	−28.6577	−	9.31145i	−1.43829	−	0.467328i	−0.516925	−	0.856031i	$-0.672923\pi$
$397$	−28.6577	−	9.31145i	−1.43829	−	0.467328i	−0.921363	+	0.388703i	$0.872923\pi$
$398$	7.34773	+	10.1133i	0.368308	+	0.506933i
$399$	−0.0646992			−0.00323901
$400$	−3.05504	+	3.95812i	−0.152752	+	0.197906i
$401$	−0.955944			−0.0477375			−0.0238688	−	0.999715i	$-0.507598\pi$
$401$	−0.955944			−0.0477375			−0.0238688	+	0.999715i	$0.507598\pi$
$402$	−0.245659	−	0.338121i	−0.0122524	−	0.0168639i
$403$	−2.85650	−	0.928135i	−0.142293	−	0.0462337i
$404$	1.47319	−	4.53401i	0.0732939	−	0.225575i
$405$	−16.3368	−	8.62478i	−0.811781	−	0.428569i
$406$	0.210266	+	0.647132i	0.0104353	+	0.0321166i
$407$		−	12.5597i		−	0.622561i
$408$	−0.824130	+	0.267776i	−0.0408005	+	0.0132569i
$409$	15.0176	+	10.9109i	0.742572	+	0.539510i	0.893516	−	0.449032i	$-0.148231\pi$
$409$	15.0176	+	10.9109i	0.742572	+	0.539510i	−0.150944	+	0.988542i	$0.548231\pi$
$410$	16.8641	+	17.3606i	0.832858	+	0.857381i
$411$	3.51875	−	2.55652i	0.173567	−	0.126104i
$412$	2.79287	−	3.84406i	0.137595	−	0.189383i
$413$	1.71590	−	2.36173i	0.0844339	−	0.116213i
$414$	−2.20884	+	1.60482i	−0.108559	+	0.0788725i
$415$	10.5518	−	19.9869i	0.517969	−	0.981119i
$416$	−1.76319	−	1.28103i	−0.0864475	−	0.0628078i
$417$	−2.77428	+	0.901418i	−0.135857	+	0.0441426i
$418$		−	1.18374i		−	0.0578986i
$419$	−8.04566	−	24.7620i	−0.393056	−	1.20970i	−0.930465	−	0.366381i	$-0.880597\pi$
$419$	−8.04566	−	24.7620i	−0.393056	−	1.20970i	0.537409	−	0.843322i	$-0.319403\pi$
$420$	0.143204	−	0.0205564i	0.00698763	−	0.00100305i
$421$	1.53705	−	4.73054i	0.0749110	−	0.230552i	−0.906589	−	0.422015i	$-0.861323\pi$
$421$	1.53705	−	4.73054i	0.0749110	−	0.230552i	0.981500	+	0.191462i	$0.0613230\pi$
$422$	−26.3677	−	8.56738i	−1.28356	−	0.417054i
$423$	1.43760	+	1.97869i	0.0698986	+	0.0962071i
$424$	−10.4338			−0.506710
$425$	−4.23561	−	14.4495i	−0.205457	−	0.700903i
$426$	4.44573			0.215396
$427$	−1.93666	−	2.66558i	−0.0937215	−	0.128997i
$428$	15.7581	+	5.12011i	0.761696	+	0.247490i
$429$	0.229397	−	0.706010i	0.0110754	−	0.0340865i
$430$	4.05367	−	23.3923i	0.195485	−	1.12808i
$431$	−9.25453	−	28.4825i	−0.445775	−	1.37195i	−0.881632	−	0.471938i	$-0.843555\pi$
$431$	−9.25453	−	28.4825i	−0.445775	−	1.37195i	0.435857	−	0.900016i	$-0.356445\pi$
$432$		−	1.70264i		−	0.0819184i
$433$	25.4530	−	8.27019i	1.22319	−	0.397440i	0.374950	−	0.927045i	$-0.377660\pi$
$433$	25.4530	−	8.27019i	1.22319	−	0.397440i	0.848244	+	0.529605i	$0.177660\pi$
$434$	−0.250690	−	0.182137i	−0.0120335	−	0.00874285i
$435$	−0.276661	−	1.92733i	−0.0132649	−	0.0924086i
$436$	4.98582	−	3.62241i	0.238777	−	0.173482i
$437$	−0.550122	+	0.757178i	−0.0263159	+	0.0362207i
$438$	−0.430948	+	0.593149i	−0.0205915	+	0.0283418i
$439$	2.56878	−	1.86633i	0.122601	−	0.0890749i	−0.524795	−	0.851229i	$-0.675858\pi$
$439$	2.56878	−	1.86633i	0.122601	−	0.0890749i	0.647396	+	0.762154i	$0.275858\pi$
$440$	0.376100	+	2.62007i	0.0179299	+	0.124907i
$441$	−16.4012	−	11.9161i	−0.781007	−	0.567435i
$442$	6.24209	−	2.02818i	0.296906	−	0.0964707i
$443$			3.83355i			0.182137i	0.995845	+	0.0910687i	$0.0290283\pi$
$443$			3.83355i			0.182137i	−0.995845	+	0.0910687i	$0.970972\pi$
$444$	−0.943434	−	2.90359i	−0.0447734	−	0.137798i
$445$	3.13676	−	18.1011i	0.148697	−	0.858074i
$446$	−8.11475	+	24.9746i	−0.384245	+	1.18258i
$447$	0.184544	+	0.0599619i	0.00872862	+	0.00283610i
$448$	−0.132163	−	0.181907i	−0.00624412	−	0.00859430i
$449$	22.2968			1.05225			0.526126	−	0.850407i	$-0.323644\pi$
$449$	22.2968			1.05225			0.526126	+	0.850407i	$0.323644\pi$
$450$	14.5799	+	0.423153i	0.687302	+	0.0199476i
$451$	12.8127			0.603329
$452$	−0.751898	−	1.03490i	−0.0353663	−	0.0486776i
$453$	−3.72146	−	1.20918i	−0.174850	−	0.0568121i
$454$	−1.21212	+	3.73053i	−0.0568878	+	0.175083i
$455$	−1.08465	+	0.155697i	−0.0508492	+	0.00729920i
$456$	−0.0889179	−	0.273661i	−0.00416396	−	0.0128154i
$457$		−	18.4732i		−	0.864139i	−0.901840	−	0.432070i	$-0.857783\pi$
$457$		−	18.4732i		−	0.864139i	0.901840	−	0.432070i	$-0.142217\pi$
$458$	5.59405	−	1.81762i	0.261393	−	0.0849316i
$459$	4.14823	+	3.01387i	0.193623	+	0.140675i
$460$	0.977057	−	1.85071i	0.0455555	−	0.0862897i
$461$	−7.74292	+	5.62556i	−0.360624	+	0.262009i	−0.753312	−	0.657663i	$-0.771545\pi$
$461$	−7.74292	+	5.62556i	−0.360624	+	0.262009i	0.392688	+	0.919672i	$0.371545\pi$
$462$	0.0450167	−	0.0619602i	0.00209437	−	0.00288265i
$463$	21.5971	−	29.7258i	1.00370	−	1.38148i	0.0806755	−	0.996740i	$-0.474292\pi$
$463$	21.5971	−	29.7258i	1.00370	−	1.38148i	0.923026	−	0.384737i	$-0.125708\pi$
$464$	−2.44823	+	1.77874i	−0.113656	+	0.0825760i
$465$	0.617833	+	0.636024i	0.0286513	+	0.0294949i
$466$	−8.09086	−	5.87836i	−0.374802	−	0.272310i
$467$	7.34267	−	2.38578i	0.339778	−	0.110401i	−0.134158	−	0.990960i	$-0.542833\pi$
$467$	7.34267	−	2.38578i	0.339778	−	0.110401i	0.473936	+	0.880559i	$0.342833\pi$
$468$			6.35782i			0.293890i
$469$	0.100921	+	0.310603i	0.00466011	+	0.0143423i
$470$	−1.65787	−	0.875251i	−0.0764719	−	0.0403723i
$471$	−1.50835	+	4.64221i	−0.0695009	+	0.213902i
$472$	12.3477	+	4.01202i	0.568351	+	0.184668i
$473$	−7.38733	−	10.1678i	−0.339670	−	0.467515i
$474$	2.88486			0.132506
$475$	4.79811	−	1.40648i	0.220152	−	0.0645337i
$476$	0.677134			0.0310364
$477$	17.8907	+	24.6245i	0.819160	+	1.12748i
$478$	23.1376	+	7.51786i	1.05829	+	0.343859i
$479$	1.12525	−	3.46315i	0.0514138	−	0.158235i	−0.922053	−	0.387064i	$-0.873489\pi$
$479$	1.12525	−	3.46315i	0.0514138	−	0.158235i	0.973467	+	0.228828i	$0.0734894\pi$
$480$	0.283757	+	0.577465i	0.0129517	+	0.0263575i
$481$	7.14573	+	21.9923i	0.325817	+	1.00276i
$482$		−	13.4003i		−	0.610365i
$483$	−0.0575898	+	0.0187120i	−0.00262042	+	0.000851428i
$484$	−7.76556	−	5.64201i	−0.352980	−	0.256455i
$485$	−5.62087	+	2.76201i	−0.255230	+	0.125416i
$486$	−6.05564	+	4.39968i	−0.274689	+	0.199573i
$487$	−21.8276	+	30.0431i	−0.989102	+	1.36138i	−0.0573232	+	0.998356i	$0.518257\pi$
$487$	−21.8276	+	30.0431i	−0.989102	+	1.36138i	−0.931779	+	0.363027i	$0.881743\pi$
$488$	8.61313	−	11.8550i	0.389898	−	0.536649i
$489$	−2.06901	+	1.50323i	−0.0935640	+	0.0679782i
$490$	15.3112	+	2.65330i	0.691691	+	0.119864i
$491$	−20.7279	−	15.0597i	−0.935436	−	0.679634i	0.0118817	−	0.999929i	$-0.496218\pi$
$491$	−20.7279	−	15.0597i	−0.935436	−	0.679634i	−0.947318	+	0.320295i	$0.896218\pi$
$492$	2.96209	−	0.962442i	0.133541	−	0.0433903i
$493$		−	9.11332i		−	0.410443i
$494$	0.673479	+	2.07275i	0.0303012	+	0.0932576i
$495$	5.53864	−	5.38022i	0.248943	−	0.241823i
$496$	0.425863	−	1.31067i	0.0191218	−	0.0588508i
$497$	−3.30396	−	1.07352i	−0.148203	−	0.0481540i
$498$	−1.70952	−	2.35295i	−0.0766053	−	0.105438i
$499$	−30.9746			−1.38661			−0.693307	−	0.720642i	$-0.743847\pi$
$499$	−30.9746			−1.38661			−0.693307	+	0.720642i	$0.743847\pi$
$500$	−10.1732	+	4.63754i	−0.454958	+	0.207397i
$501$	−1.24454			−0.0556020
$502$	16.6136	+	22.8667i	0.741502	+	1.02059i
$503$	−36.9817	−	12.0161i	−1.64893	−	0.535770i	−0.670423	−	0.741979i	$-0.733887\pi$
$503$	−36.9817	−	12.0161i	−1.64893	−	0.535770i	−0.978508	+	0.206209i	$0.933887\pi$
$504$	−0.202694	+	0.623828i	−0.00902871	+	0.0277875i
$505$	7.64638	−	7.42768i	0.340260	−	0.330527i
$506$	−0.342357	−	1.05367i	−0.0152196	−	0.0468412i
$507$		−	2.37392i		−	0.105430i
$508$	−2.31334	+	0.751651i	−0.102638	+	0.0333491i
$509$	20.8850	+	15.1738i	0.925711	+	0.672568i	0.944939	−	0.327247i	$-0.106121\pi$
$509$	20.8850	+	15.1738i	0.925711	+	0.672568i	−0.0192280	+	0.999815i	$0.506121\pi$
$510$	−1.90919	−	0.330846i	−0.0845404	−	0.0146501i
$511$	0.463499	−	0.336752i	0.0205040	−	0.0148970i
$512$	0.587785	−	0.809017i	0.0259767	−	0.0357538i
$513$	−1.00079	+	1.37747i	−0.0441858	+	0.0608166i
$514$	−1.07695	+	0.782451i	−0.0475023	+	0.0345124i
$515$	9.53568	−	4.68568i	0.420192	−	0.206476i
$516$	−2.47159	−	1.79572i	−0.108806	−	0.0790520i
$517$	−0.943878	+	0.306685i	−0.0415117	+	0.0134880i
$518$			2.38569i			0.104821i
$519$	−0.0759868	−	0.233863i	−0.00333545	−	0.0102655i
$520$	−2.14922	−	4.37382i	−0.0942497	−	0.191804i
$521$	−1.39967	+	4.30774i	−0.0613206	+	0.188725i	−0.977024	−	0.213129i	$-0.931634\pi$
$521$	−1.39967	+	4.30774i	−0.0613206	+	0.188725i	0.915703	+	0.401855i	$0.131634\pi$
$522$	8.39590	+	2.72799i	0.367479	+	0.119401i
$523$	−7.82514	−	10.7704i	−0.342170	−	0.470956i	0.602904	−	0.797814i	$-0.294010\pi$
$523$	−7.82514	−	10.7704i	−0.342170	−	0.470956i	−0.945074	+	0.326858i	$0.894010\pi$
$524$	−10.4505			−0.456531
$525$	0.304633	+	0.108849i	0.0132953	+	0.00475057i
$526$	5.49907			0.239771
$527$	2.43943	+	3.35759i	0.106263	+	0.146259i
$528$	0.323944	+	0.105256i	0.0140978	+	0.00458067i
$529$	6.83671	−	21.0412i	0.297248	−	0.914836i
$530$	−20.6320	−	10.8924i	−0.896195	−	0.473134i
$531$	−11.7039	−	36.0209i	−0.507905	−	1.56317i
$532$			0.224849i			0.00974846i
$533$	−22.4354	+	7.28970i	−0.971784	+	0.315752i
$534$	−1.91253	−	1.38954i	−0.0827634	−	0.0601311i
$535$	25.8151	+	26.5752i	1.11609	+	1.14895i
$536$	−1.17507	+	0.853742i	−0.0507555	+	0.0368760i
$537$	1.62251	−	2.23320i	0.0700167	−	0.0963697i
$538$	12.1390	−	16.7079i	0.523349	−	0.720329i
$539$	6.65525	−	4.83532i	0.286662	−	0.208272i
$540$	1.77747	−	3.36683i	0.0764902	−	0.144885i
$541$	12.8670	+	9.34841i	0.553195	+	0.401920i	0.828962	−	0.559305i	$-0.188932\pi$
$541$	12.8670	+	9.34841i	0.553195	+	0.401920i	−0.275767	+	0.961224i	$0.588932\pi$
$542$	−20.7584	+	6.74481i	−0.891649	+	0.289714i
$543$			4.68098i			0.200880i
$544$	0.930604	+	2.86410i	0.0398993	+	0.122797i
$545$	13.6406	−	1.95806i	0.584301	−	0.0838741i
$546$	−0.0435735	+	0.134105i	−0.00186477	+	0.00573918i
$547$	−28.7812	−	9.35157i	−1.23059	−	0.399844i	−0.379664	−	0.925124i	$-0.623961\pi$
$547$	−28.7812	−	9.35157i	−1.23059	−	0.399844i	−0.850929	+	0.525280i	$0.823961\pi$
$548$	−8.88470	−	12.2287i	−0.379536	−	0.522386i
$549$	−42.7473			−1.82441
$550$	−1.99151	+	5.57359i	−0.0849184	+	0.237659i
$551$	3.02618			0.128919
$552$	−0.158294	−	0.217874i	−0.00673746	−	0.00927332i
$553$	−2.14396	−	0.696614i	−0.0911703	−	0.0296230i
$554$	6.29271	−	19.3670i	0.267352	−	0.822824i
$555$	1.16564	−	6.72650i	0.0494788	−	0.285524i
$556$	3.13271	+	9.64148i	0.132856	+	0.408890i
$557$			6.60899i			0.280032i	0.990149	+	0.140016i	$0.0447154\pi$
$557$			6.60899i			0.280032i	−0.990149	+	0.140016i	$0.955285\pi$
$558$	−3.82349	+	1.24233i	−0.161861	+	0.0525919i
$559$	18.7202	+	13.6010i	0.791782	+	0.575263i
$560$	−0.0714396	−	0.497677i	−0.00301888	−	0.0210307i
$561$	−0.829857	+	0.602927i	−0.0350366	+	0.0254556i
$562$	−5.21197	+	7.17366i	−0.219854	+	0.302603i
$563$	0.212428	−	0.292382i	0.00895276	−	0.0123224i	−0.804517	−	0.593929i	$-0.797576\pi$
$563$	0.212428	−	0.292382i	0.00895276	−	0.0123224i	0.813470	+	0.581607i	$0.197576\pi$
$564$	−0.195172	+	0.141801i	−0.00821822	+	0.00597089i
$565$	−0.406432	−	2.83137i	−0.0170987	−	0.119117i
$566$	8.67609	+	6.30355i	0.364683	+	0.264958i
$567$	1.76672	−	0.574041i	0.0741951	−	0.0241075i
$568$		−	15.4503i		−	0.648280i
$569$	9.99284	+	30.7548i	0.418922	+	1.28931i	0.908696	+	0.417459i	$0.137079\pi$
$569$	9.99284	+	30.7548i	0.418922	+	1.28931i	−0.489774	+	0.871849i	$0.662921\pi$
$570$	0.109861	−	0.633967i	0.00460157	−	0.0265540i
$571$	−3.25399	+	10.0147i	−0.136175	+	0.419104i	−0.995771	−	0.0918705i	$-0.970715\pi$
$571$	−3.25399	+	10.0147i	−0.136175	+	0.419104i	0.859596	+	0.510975i	$0.170715\pi$
$572$	−2.45360	−	0.797224i	−0.102590	−	0.0333336i
$573$	−2.72925	−	3.75648i	−0.114016	−	0.156929i
$574$	−2.43376			−0.101583
$575$	3.86409	−	2.63962i	0.161144	−	0.110080i
$576$	−2.91720			−0.121550
$577$	10.9405	+	15.0583i	0.455460	+	0.626887i	0.973560	−	0.228433i	$-0.0733603\pi$
$577$	10.9405	+	15.0583i	0.455460	+	0.626887i	−0.518100	+	0.855320i	$0.673360\pi$
$578$	7.54272	+	2.45078i	0.313736	+	0.101939i
$579$	2.14567	−	6.60369i	0.0891710	−	0.274440i
$580$	−6.69808	+	0.961483i	−0.278123	+	0.0399234i
$581$	0.702299	+	2.16145i	0.0291363	+	0.0896722i
$582$			0.805918i			0.0334064i
$583$	−11.7464	+	3.81664i	−0.486487	+	0.158069i
$584$	2.06138	+	1.49768i	0.0853004	+	0.0619743i
$585$	−6.63724	+	12.5720i	−0.274416	+	0.519790i
$586$	−1.60205	+	1.16395i	−0.0661799	+	0.0480825i
$587$	20.4850	−	28.1951i	0.845504	−	1.16374i	−0.139331	−	0.990246i	$-0.544495\pi$
$587$	20.4850	−	28.1951i	0.845504	−	1.16374i	0.984835	−	0.173491i	$-0.0555048\pi$
$588$	1.17537	−	1.61776i	0.0484715	−	0.0667153i
$589$	−1.11492	+	0.810039i	−0.0459396	+	0.0333771i
$590$	20.2282	+	20.8239i	0.832784	+	0.857304i
$591$	−2.18164	−	1.58506i	−0.0897407	−	0.0652005i
$592$	−10.0909	+	3.27872i	−0.414732	+	0.134755i
$593$			23.7552i			0.975507i	0.872981	+	0.487754i	$0.162184\pi$
$593$			23.7552i			0.975507i	−0.872981	+	0.487754i	$0.837816\pi$
$594$	−0.622819	−	1.91684i	−0.0255546	−	0.0786489i
$595$	1.33897	+	0.706894i	0.0548926	+	0.0289798i
$596$	0.208386	−	0.641346i	0.00853582	−	0.0262706i
$597$	3.42095	+	1.11154i	0.140010	+	0.0454921i
$598$	1.19895	+	1.65021i	0.0490286	+	0.0674821i
$599$	14.4425			0.590105			0.295052	−	0.955481i	$-0.404663\pi$
$599$	14.4425			0.590105			0.295052	+	0.955481i	$0.404663\pi$
$600$	−0.0417386	+	1.43812i	−0.00170397	+	0.0587108i
$601$	25.6654			1.04691			0.523457	−	0.852052i	$-0.324642\pi$
$601$	25.6654			1.04691			0.523457	+	0.852052i	$0.324642\pi$
$602$	1.40321	+	1.93135i	0.0571906	+	0.0787161i
$603$	4.02978	+	1.30935i	0.164105	+	0.0533210i
$604$	−4.20226	+	12.9332i	−0.170988	+	0.526245i
$605$	−9.46576	−	19.2634i	−0.384838	−	0.783170i
$606$	−0.423902	−	1.30464i	−0.0172198	−	0.0529972i
$607$		−	3.22167i		−	0.130763i	−0.997860	−	0.0653817i	$-0.979174\pi$
$607$		−	3.22167i		−	0.130763i	0.997860	−	0.0653817i	$-0.0208265\pi$
$608$	−0.951057	+	0.309017i	−0.0385704	+	0.0125323i
$609$	0.158398	+	0.115083i	0.00641862	+	0.00466340i
$610$	29.4077	−	14.4505i	1.19068	−	0.585083i
$611$	1.47826	−	1.07402i	0.0598042	−	0.0434503i
$612$	5.16378	−	7.10734i	0.208733	−	0.287297i
$613$	21.1709	−	29.1392i	0.855084	−	1.17692i	−0.127636	−	0.991821i	$-0.540739\pi$
$613$	21.1709	−	29.1392i	0.855084	−	1.17692i	0.982720	−	0.185101i	$-0.0592611\pi$
$614$	11.0569	−	8.03334i	0.446222	−	0.324199i
$615$	6.86203	+	1.18913i	0.276704	+	0.0479503i
$616$	−0.215331	−	0.156447i	−0.00867592	−	0.00630343i
$617$	−36.8311	+	11.9671i	−1.48276	+	0.481779i	−0.934937	−	0.354814i	$-0.884544\pi$
$617$	−36.8311	+	11.9671i	−1.48276	+	0.481779i	−0.547826	+	0.836593i	$0.684544\pi$
$618$		−	1.36722i		−	0.0549978i
$619$	−6.15978	−	18.9579i	−0.247583	−	0.761981i	−0.995201	−	0.0978523i	$-0.968803\pi$
$619$	−6.15978	−	18.9579i	−0.247583	−	0.761981i	0.747618	−	0.664129i	$-0.231197\pi$
$620$	2.21038	−	2.14716i	0.0887710	−	0.0862320i
$621$	−0.492432	+	1.51555i	−0.0197606	+	0.0608169i
$622$	−14.6382	−	4.75623i	−0.586938	−	0.190708i
$623$	1.08581	+	1.49449i	0.0435022	+	0.0598756i
$624$	−0.627117			−0.0251048
$625$	−24.9579	−	1.44993i	−0.998317	−	0.0579974i
$626$	23.2076			0.927564
$627$	−0.200208	−	0.275563i	−0.00799555	−	0.0110049i
$628$	16.1331	+	5.24196i	0.643781	+	0.209177i
$629$	9.87387	−	30.3886i	0.393697	−	1.21167i
$630$	−1.05206	+	1.02196i	−0.0419149	+	0.0407160i
$631$	3.06876	+	9.44467i	0.122165	+	0.375987i	0.993374	−	0.114927i	$-0.0366633\pi$
$631$	3.06876	+	9.44467i	0.122165	+	0.375987i	−0.871209	+	0.490913i	$0.836663\pi$
$632$		−	10.0258i		−	0.398804i
$633$	−7.58715	+	2.46522i	−0.301562	+	0.0979835i
$634$	−5.40945	−	3.93020i	−0.214837	−	0.156088i
$635$	−5.35912	−	0.928689i	−0.212670	−	0.0368539i
$636$	−2.42888	+	1.76469i	−0.0963115	+	0.0699744i
$637$	−8.90246	+	12.2532i	−0.352728	+	0.485489i
$638$	−2.10557	+	2.89807i	−0.0833603	+	0.114736i
$639$	−36.4637	+	26.4924i	−1.44248	+	1.04802i
$640$	2.00687	−	0.986144i	0.0793284	−	0.0389808i
$641$	−29.2571	−	21.2565i	−1.15558	−	0.839581i	−0.166371	−	0.986063i	$-0.553205\pi$
$641$	−29.2571	−	21.2565i	−1.15558	−	0.839581i	−0.989213	+	0.146482i	$0.953205\pi$
$642$	4.53430	−	1.47328i	0.178954	−	0.0581458i
$643$			19.6826i			0.776205i	0.921616	+	0.388103i	$0.126869\pi$
$643$			19.6826i			0.776205i	−0.921616	+	0.388103i	$0.873131\pi$
$644$	0.0650301	+	0.200142i	0.00256255	+	0.00788670i
$645$	−3.01272	−	6.13109i	−0.118626	−	0.241411i
$646$	0.930604	−	2.86410i	0.0366141	−	0.112687i
$647$	14.8448	+	4.82336i	0.583608	+	0.189626i	0.585916	−	0.810371i	$-0.300735\pi$
$647$	14.8448	+	4.82336i	0.583608	+	0.189626i	−0.00230807	+	0.999997i	$0.500735\pi$
$648$	4.85610	+	6.68384i	0.190765	+	0.262566i
$649$	15.3687			0.603275
$650$	0.316135	−	10.8925i	0.0123998	−	0.427240i
$651$	−0.0891632			−0.00349458
$652$	5.22417	+	7.19046i	0.204594	+	0.281600i
$653$	−15.8314	−	5.14394i	−0.619531	−	0.201298i	−0.0175992	−	0.999845i	$-0.505602\pi$
$653$	−15.8314	−	5.14394i	−0.619531	−	0.201298i	−0.601932	+	0.798547i	$0.705602\pi$
$654$	0.547984	−	1.68652i	0.0214279	−	0.0659482i
$655$	−20.6649	−	10.9098i	−0.807444	−	0.426280i
$656$	−3.34478	−	10.2942i	−0.130592	−	0.401920i
$657$		−	7.43304i		−	0.289990i
$658$	0.179288	−	0.0582542i	0.00698937	−	0.00227099i
$659$	3.21638	+	2.33684i	0.125292	+	0.0910302i	0.648667	−	0.761073i	$-0.275327\pi$
$659$	3.21638	+	2.33684i	0.125292	+	0.0910302i	−0.523374	+	0.852103i	$0.675327\pi$
$660$	0.530689	+	0.546315i	0.0206571	+	0.0212653i
$661$	−10.5779	+	7.68532i	−0.411434	+	0.298924i	−0.774182	−	0.632963i	$-0.781839\pi$
$661$	−10.5779	+	7.68532i	−0.411434	+	0.298924i	0.362748	+	0.931887i	$0.381839\pi$
$662$	−12.1881	+	16.7755i	−0.473705	+	0.651999i
$663$	1.11007	−	1.52788i	0.0431115	−	0.0593378i
$664$	−8.17722	+	5.94110i	−0.317338	+	0.230559i
$665$	−0.234732	+	0.444621i	−0.00910250	+	0.0172417i
$666$	25.0407	+	18.1931i	0.970308	+	0.704970i
$667$	2.69365	−	0.875219i	0.104298	−	0.0338886i
$668$			4.32517i			0.167346i
$669$	2.33497	+	7.18631i	0.0902753	+	0.277839i
$670$	−3.21487	+	0.461483i	−0.124201	+	0.0178286i
$671$	5.36020	−	16.4970i	0.206928	−	0.636860i
$672$	−0.0615326	−	0.0199931i	−0.00237367	−	0.000771252i
$673$	14.5632	+	20.0446i	0.561372	+	0.772662i	0.991500	−	0.130106i	$-0.0415317\pi$
$673$	14.5632	+	20.0446i	0.561372	+	0.772662i	−0.430128	+	0.902768i	$0.641532\pi$
$674$	−24.6999			−0.951405
$675$	7.02960	−	4.80202i	0.270569	−	0.184830i
$676$	−8.25012			−0.317312
$677$	17.4013	+	23.9508i	0.668786	+	0.920505i	0.999732	−	0.0231445i	$-0.00736778\pi$
$677$	17.4013	+	23.9508i	0.668786	+	0.920505i	−0.330946	+	0.943650i	$0.607368\pi$
$678$	−0.350069	−	0.113744i	−0.0134443	−	0.00436832i
$679$	0.194607	−	0.598939i	0.00746833	−	0.0229852i
$680$	−1.14979	+	6.63503i	−0.0440925	+	0.254442i
$681$	0.348782	+	1.07344i	0.0133653	+	0.0411343i
$682$		−	1.63134i		−	0.0624671i
$683$	48.1168	−	15.6341i	1.84114	−	0.598223i	0.842956	−	0.537983i	$-0.180814\pi$
$683$	48.1168	−	15.6341i	1.84114	−	0.598223i	0.998184	−	0.0602394i	$-0.0191864\pi$
$684$	2.36007	+	1.71469i	0.0902394	+	0.0655628i
$685$	−4.80254	−	33.4565i	−0.183496	−	1.27831i
$686$	−2.53750	+	1.84360i	−0.0968823	+	0.0703891i
$687$	0.994821	−	1.36925i	0.0379548	−	0.0522403i
$688$	−6.24067	+	8.58954i	−0.237923	+	0.327473i
$689$	18.3968	−	13.3660i	0.700861	−	0.509206i
$690$	−0.0855646	−	0.596078i	−0.00325739	−	0.0226923i
$691$	26.8459	+	19.5047i	1.02127	+	0.741994i	0.966542	−	0.256508i	$-0.0825719\pi$
$691$	26.8459	+	19.5047i	1.02127	+	0.741994i	0.0547246	+	0.998501i	$0.482572\pi$
$692$	−0.812747	+	0.264077i	−0.0308960	+	0.0100387i
$693$			0.776453i			0.0294950i
$694$	−5.58568	−	17.1910i	−0.212030	−	0.652560i
$695$	−3.87056	+	22.3356i	−0.146819	+	0.847237i
$696$	−0.269081	+	0.828147i	−0.0101995	+	0.0313908i
$697$	31.0009	+	10.0728i	1.17424	+	0.381535i
$698$	4.94190	+	6.80194i	0.187054	+	0.257457i
$699$	−2.87769			−0.108844
$700$	0.378284	−	1.05869i	0.0142978	−	0.0400149i
$701$	−19.7555			−0.746155			−0.373077	−	0.927800i	$-0.621697\pi$
$701$	−19.7555			−0.746155			−0.373077	+	0.927800i	$0.621697\pi$
$702$	2.18114	+	3.00208i	0.0823218	+	0.113306i
$703$	10.0909	+	3.27872i	0.380585	+	0.123659i
$704$	0.365796	−	1.12580i	0.0137865	−	0.0424303i
$705$	−0.533969	+	0.0766491i	−0.0201104	+	0.00288677i
$706$	4.67821	+	14.3980i	0.176067	+	0.541877i
$707$			1.07193i			0.0403142i
$708$	3.55299	−	1.15444i	0.133530	−	0.0433864i
$709$	33.4226	+	24.2829i	1.25521	+	0.911965i	0.998512	−	0.0545258i	$-0.0173647\pi$
$709$	33.4226	+	24.2829i	1.25521	+	0.911965i	0.256700	+	0.966491i	$0.417365\pi$
$710$	16.1293	−	30.5516i	0.605323	−	1.14658i
$711$	−23.6615	+	17.1911i	−0.887375	+	0.644716i
$712$	−4.82907	+	6.64664i	−0.180977	+	0.249093i
$713$	−0.758134	+	1.04348i	−0.0283923	+	0.0390787i
$714$	0.157630	−	0.114525i	0.00589915	−	0.00428599i
$715$	−4.01953	−	4.13788i	−0.150322	−	0.154748i
$716$	−7.76105	−	5.63874i	−0.290044	−	0.210729i
$717$	6.65771	−	2.16322i	0.248637	−	0.0807870i
$718$		−	8.96444i		−	0.334550i
$719$	−9.52521	−	29.3156i	−0.355231	−	1.09329i	−0.955876	−	0.293771i	$-0.905090\pi$
$719$	−9.52521	−	29.3156i	−0.355231	−	1.09329i	0.600645	−	0.799516i	$-0.294910\pi$
$720$	−5.76852	−	3.04541i	−0.214980	−	0.113496i
$721$	−0.330147	+	1.01609i	−0.0122953	+	0.0378411i
$722$	0.951057	+	0.309017i	0.0353947	+	0.0115004i
$723$	−2.26641	−	3.11945i	−0.0842887	−	0.116013i
$724$	16.2679			0.604590
$725$	−14.2486	−	5.09121i	−0.529181	−	0.189083i
$726$	−2.76199			−0.102507
$727$	21.2434	+	29.2390i	0.787874	+	1.08442i	0.994370	+	0.105968i	$0.0337941\pi$
$727$	21.2434	+	29.2390i	0.787874	+	1.08442i	−0.206496	+	0.978448i	$0.566206\pi$
$728$	0.466058	+	0.151431i	0.0172733	+	0.00561242i
$729$	6.99344	−	21.5236i	0.259016	−	0.797170i
$730$	2.51270	+	5.11350i	0.0929991	+	0.189259i
$731$	−9.88046	−	30.4089i	−0.365442	−	1.12471i
$732$		−	4.21647i		−	0.155845i
$733$	1.07803	−	0.350272i	0.0398178	−	0.0129376i	−0.289040	−	0.957317i	$-0.593336\pi$
$733$	1.07803	−	0.350272i	0.0398178	−	0.0129376i	0.328858	+	0.944379i	$0.393336\pi$
$734$	−5.82104	−	4.22923i	−0.214858	−	0.156104i
$735$	4.01306	−	1.97195i	0.148024	−	0.0727366i
$736$	−0.757178	+	0.550122i	−0.0279099	+	0.0202778i
$737$	−1.01061	+	1.39098i	−0.0372263	+	0.0512375i
$738$	−18.5597	+	25.5452i	−0.683192	+	0.940333i
$739$	−34.6448	+	25.1709i	−1.27443	+	0.925927i	−0.999370	−	0.0355008i	$-0.988697\pi$
$739$	−34.6448	+	25.1709i	−1.27443	+	0.925927i	−0.275059	+	0.961427i	$0.588697\pi$
$740$	−23.3767	−	4.05097i	−0.859343	−	0.148917i
$741$	0.507348	+	0.368610i	0.0186379	+	0.0135412i
$742$	2.23121	−	0.724965i	0.0819104	−	0.0266143i
$743$		−	6.55316i		−	0.240412i	−0.992749	−	0.120206i	$-0.961644\pi$
$743$		−	6.55316i		−	0.240412i	0.992749	−	0.120206i	$-0.0383555\pi$
$744$	−0.122540	−	0.377138i	−0.00449252	−	0.0138265i
$745$	1.08160	−	1.05066i	0.0396267	−	0.0384933i
$746$	−10.8353	+	33.3475i	−0.396707	+	1.22094i
$747$	28.0428	+	9.11165i	1.02603	+	0.333378i
$748$	2.09536	+	2.88401i	0.0766138	+	0.105450i
$749$	−3.72554			−0.136128
$750$	−1.58386	+	2.80018i	−0.0578342	+	0.102248i
$751$	−46.4723			−1.69580			−0.847899	−	0.530158i	$-0.822133\pi$
$751$	−46.4723			−1.69580			−0.847899	+	0.530158i	$0.822133\pi$
$752$	0.492801	+	0.678283i	0.0179706	+	0.0247344i
$753$	7.73496	+	2.51324i	0.281878	+	0.0915876i
$754$	2.03807	−	6.27252i	0.0742220	−	0.228432i
$755$	−21.8112	+	21.1874i	−0.793793	+	0.771088i
$756$	0.118303	+	0.364101i	0.00430266	+	0.0132422i
$757$			24.1609i			0.878142i	0.898452	+	0.439071i	$0.144692\pi$
$757$			24.1609i			0.878142i	−0.898452	+	0.439071i	$0.855308\pi$
$758$	−12.2574	+	3.98266i	−0.445208	+	0.144657i
$759$	−0.257906	−	0.187380i	−0.00936139	−	0.00680145i
$760$	−2.20323	−	0.381801i	−0.0799196	−	0.0138494i
$761$	0.0112519	−	0.00817501i	0.000407883	−	0.000296344i	−0.587581	−	0.809165i	$-0.699920\pi$
$761$	0.0112519	−	0.00817501i	0.000407883	−	0.000296344i	0.587989	+	0.808869i	$0.299920\pi$
$762$	−0.411395	+	0.566237i	−0.0149033	+	0.0205126i
$763$	−0.814496	+	1.12106i	−0.0294867	+	0.0405850i
$764$	−13.0549	+	9.48497i	−0.472311	+	0.343154i
$765$	17.6306	−	8.66342i	0.637437	−	0.313227i
$766$	−22.1330	−	16.0806i	−0.799699	−	0.581015i
$767$	−26.9109	+	8.74390i	−0.971698	+	0.315724i
$768$		−	0.287744i		−	0.0103831i
$769$	−3.20769	−	9.87226i	−0.115672	−	0.356003i	0.876414	−	0.481558i	$-0.159929\pi$
$769$	−3.20769	−	9.87226i	−0.115672	−	0.356003i	−0.992087	+	0.125555i	$0.959929\pi$
$770$	−0.262475	−	0.534155i	−0.00945896	−	0.0192496i
$771$	−0.118366	+	0.364294i	−0.00426285	+	0.0131197i
$772$	−22.9499	−	7.45687i	−0.825984	−	0.268378i
$773$	2.79603	+	3.84840i	0.100566	+	0.138417i	0.856334	−	0.516422i	$-0.172736\pi$
$773$	2.79603	+	3.84840i	0.100566	+	0.138417i	−0.755768	+	0.654839i	$0.772736\pi$
$774$	30.9727			1.11329
$775$	6.61237	−	1.93830i	0.237523	−	0.0696257i
$776$	2.80081			0.100543
$777$	0.403497	+	0.555365i	0.0144754	+	0.0199236i
$778$	1.33661	+	0.434291i	0.0479198	+	0.0155701i
$779$	−3.34478	+	10.2942i	−0.119839	+	0.368827i
$780$	−1.24007	−	0.654678i	−0.0444016	−	0.0234412i
$781$	−5.65165	−	17.3940i	−0.202232	−	0.622406i
$782$		−	2.81853i		−	0.100790i
$783$	4.90031	−	1.59221i	0.175123	−	0.0569009i
$784$	−5.62222	−	4.08478i	−0.200793	−	0.145885i
$785$	26.4295	+	27.2077i	0.943309	+	0.971084i
$786$	−2.43276	+	1.76751i	−0.0867738	+	0.0630449i
$787$	−15.8162	+	21.7691i	−0.563786	+	0.775984i	−0.991802	−	0.127787i	$-0.959213\pi$
$787$	−15.8162	+	21.7691i	−0.563786	+	0.775984i	0.428016	+	0.903771i	$0.359213\pi$
$788$	−5.50855	+	7.58188i	−0.196234	+	0.270093i
$789$	1.28013	−	0.930067i	0.0455738	−	0.0331113i
$790$	10.4664	−	19.8251i	0.372378	−	0.705345i
$791$	0.232697	+	0.169064i	0.00827374	+	0.00601122i
$792$	−3.28420	+	1.06710i	−0.116699	+	0.0379178i
$793$			31.9363i			1.13409i
$794$	9.31145	+	28.6577i	0.330451	+	1.01702i
$795$	−6.64516	+	0.953886i	−0.235679	+	0.0338309i
$796$	3.86293	−	11.8889i	0.136918	−	0.421390i
$797$	−19.3134	−	6.27532i	−0.684117	−	0.222283i	−0.0537202	−	0.998556i	$-0.517108\pi$
$797$	−19.3134	−	6.27532i	−0.684117	−	0.222283i	−0.630397	+	0.776273i	$0.717108\pi$
$798$	0.0380292	+	0.0523427i	0.00134622	+	0.00185291i
$799$	−2.52485			−0.0893228
$800$	4.99790	+	0.145055i	0.176702	+	0.00512845i
$801$	23.9669			0.846828
$802$	0.561890	+	0.773375i	0.0198410	+	0.0273088i
$803$	2.86855	+	0.932049i	0.101229	+	0.0328913i
$804$	−0.129151	+	0.397485i	−0.00455480	+	0.0140182i
$805$	−0.0803468	+	0.463652i	−0.00283185	+	0.0163416i
$806$	0.928135	+	2.85650i	0.0326921	+	0.100616i
$807$		−	5.94252i		−	0.209187i
$808$	−4.53401	+	1.47319i	−0.159506	+	0.0518266i
$809$	44.9610	+	32.6661i	1.58075	+	1.14848i	0.915834	+	0.401556i	$0.131531\pi$
$809$	44.9610	+	32.6661i	1.58075	+	1.14848i	0.664911	+	0.746923i	$0.268469\pi$
$810$	2.62492	+	18.2862i	0.0922303	+	0.642513i
$811$	11.3018	−	8.21124i	0.396860	−	0.288336i	−0.371401	−	0.928473i	$-0.621122\pi$
$811$	11.3018	−	8.21124i	0.396860	−	0.288336i	0.768261	+	0.640137i	$0.221122\pi$
$812$	0.399949	−	0.550483i	0.0140355	−	0.0193182i
$813$	−3.69158	+	5.08103i	−0.129469	+	0.178199i
$814$	−10.1610	+	7.38240i	−0.356143	+	0.258753i
$815$	2.82388	+	19.6723i	0.0989162	+	0.689090i
$816$	0.701047	+	0.509340i	0.0245415	+	0.0178305i
$817$	10.0976	−	3.28091i	0.353271	−	0.114785i
$818$		−	18.5628i		−	0.649032i
$819$	−0.441756	−	1.35959i	−0.0154362	−	0.0475078i
$820$	4.13259	−	23.8477i	0.144316	−	0.832796i
$821$	−5.50530	+	16.9436i	−0.192136	+	0.591335i	0.807862	+	0.589372i	$0.200625\pi$
$821$	−5.50530	+	16.9436i	−0.192136	+	0.591335i	−0.999998	+	0.00196276i	$0.999375\pi$
$822$	−4.13654	−	1.34404i	−0.144278	−	0.0468789i
$823$	18.4213	+	25.3547i	0.642126	+	0.883811i	0.998727	−	0.0504461i	$-0.0160643\pi$
$823$	18.4213	+	25.3547i	0.642126	+	0.883811i	−0.356601	+	0.934257i	$0.616064\pi$
$824$	−4.75152			−0.165527
$825$	0.479067	+	1.63430i	0.0166790	+	0.0568992i
$826$	−2.91926			−0.101574
$827$	16.2471	+	22.3622i	0.564967	+	0.777610i	0.991947	−	0.126651i	$-0.0404227\pi$
$827$	16.2471	+	22.3622i	0.564967	+	0.777610i	−0.426981	+	0.904261i	$0.640423\pi$
$828$	2.59665	+	0.843702i	0.0902398	+	0.0293207i
$829$	6.09054	−	18.7448i	0.211533	−	0.651032i	−0.787848	−	0.615869i	$-0.788805\pi$
$829$	6.09054	−	18.7448i	0.211533	−	0.651032i	0.999382	−	0.0351631i	$-0.0111951\pi$
$830$	−22.3720	+	3.21141i	−0.776542	+	0.111470i
$831$	−1.81069	−	5.57274i	−0.0628122	−	0.193316i
$832$			2.17942i			0.0755579i
$833$	19.9039	−	6.46718i	0.689630	−	0.224074i
$834$	2.35994	+	1.71460i	0.0817182	+	0.0593717i
$835$	−4.51526	+	8.55265i	−0.156257	+	0.295977i
$836$	−0.957666	+	0.695785i	−0.0331216	+	0.0240642i
$837$	−1.37921	+	1.89831i	−0.0476723	+	0.0656153i
$838$	−15.3038	+	21.0638i	−0.528660	+	0.727637i
$839$	21.9639	−	15.9577i	0.758277	−	0.550920i	−0.140105	−	0.990137i	$-0.544744\pi$
$839$	21.9639	−	15.9577i	0.758277	−	0.550920i	0.898381	+	0.439216i	$0.144744\pi$
$840$	−0.100804	−	0.103772i	−0.00347805	−	0.00358046i
$841$	16.0527	+	11.6630i	0.553542	+	0.402172i
$842$	−4.73054	+	1.53705i	−0.163025	+	0.0529701i
$843$			2.55147i			0.0878772i
$844$	8.56738	+	26.3677i	0.294901	+	0.907613i
$845$	−16.3139	−	8.61271i	−0.561215	−	0.296286i
$846$	0.755792	−	2.32609i	0.0259847	−	0.0799725i
$847$	2.05264	+	0.666944i	0.0705296	+	0.0229165i
$848$	6.13283	+	8.44112i	0.210602	+	0.289869i
$849$	3.08584			0.105906
$850$	−9.20025	+	11.9199i	−0.315566	+	0.408848i
$851$	9.93031			0.340407
$852$	−2.61314	−	3.59667i	−0.0895246	−	0.123220i
$853$	21.2173	+	6.89393i	0.726468	+	0.236044i	0.648825	−	0.760937i	$-0.275261\pi$
$853$	21.2173	+	6.89393i	0.726468	+	0.236044i	0.0776428	+	0.996981i	$0.475261\pi$
$854$	−1.01816	+	3.13358i	−0.0348408	+	0.107229i
$855$	2.87678	+	5.85444i	0.0983839	+	0.200218i
$856$	−5.12011	−	15.7581i	−0.175002	−	0.538600i
$857$		−	10.2453i		−	0.349971i	−0.984571	−	0.174986i	$-0.944012\pi$
$857$		−	10.2453i		−	0.349971i	0.984571	−	0.174986i	$-0.0559879\pi$
$858$	−0.706010	+	0.229397i	−0.0241028	+	0.00783147i
$859$	−7.98944	−	5.80467i	−0.272596	−	0.198053i	0.443085	−	0.896479i	$-0.353884\pi$
$859$	−7.98944	−	5.80467i	−0.272596	−	0.198053i	−0.715682	+	0.698427i	$0.753884\pi$
$860$	−21.3074	+	10.4701i	−0.726577	+	0.357029i
$861$	−0.566555	+	0.411626i	−0.0193081	+	0.0140282i
$862$	−17.6032	+	24.2287i	−0.599566	+	0.825232i
$863$	12.7632	−	17.5671i	0.434466	−	0.597991i	−0.534505	−	0.845165i	$-0.679502\pi$
$863$	12.7632	−	17.5671i	0.434466	−	0.597991i	0.968971	+	0.247174i	$0.0795020\pi$
$864$	−1.37747	+	1.00079i	−0.0468623	+	0.0340475i
$865$	−1.88282	−	0.326276i	−0.0640178	−	0.0110937i
$866$	−21.6516	−	15.7308i	−0.735753	−	0.534555i
$867$	2.17037	−	0.705197i	0.0737098	−	0.0239498i
$868$			0.309870i			0.0105177i
$869$	−3.66739	−	11.2871i	−0.124408	−	0.382887i
$870$	−1.39663	+	1.35668i	−0.0473502	+	0.0459958i
$871$	0.978209	−	3.01062i	0.0331454	−	0.102011i
$872$	−5.86118	−	1.90441i	−0.198485	−	0.0644915i
$873$	−4.80253	−	6.61011i	−0.162541	−	0.223718i
$874$	0.935923			0.0316581
$875$	1.85325	−	1.69857i	0.0626512	−	0.0574221i
$876$	0.733173			0.0247716
$877$	20.9212	+	28.7956i	0.706459	+	0.972358i	0.999866	+	0.0163699i	$0.00521092\pi$
$877$	20.9212	+	28.7956i	0.706459	+	0.972358i	−0.293407	+	0.955988i	$0.594789\pi$
$878$	−3.01978	−	0.981186i	−0.101913	−	0.0331134i
$879$	−0.176078	+	0.541914i	−0.00593898	+	0.0182783i
$880$	1.89861	−	1.84431i	0.0640022	−	0.0621716i
$881$	8.65285	+	26.6307i	0.291522	+	0.897213i	0.984368	+	0.176127i	$0.0563568\pi$
$881$	8.65285	+	26.6307i	0.291522	+	0.897213i	−0.692845	+	0.721086i	$0.743643\pi$
$882$			20.2729i			0.682625i
$883$	−19.3799	+	6.29690i	−0.652185	+	0.211908i	−0.616377	−	0.787451i	$-0.711400\pi$
$883$	−19.3799	+	6.29690i	−0.652185	+	0.211908i	−0.0358075	+	0.999359i	$0.511400\pi$
$884$	−5.30984	−	3.85783i	−0.178589	−	0.129753i
$885$	8.23091	+	1.42634i	0.276679	+	0.0479460i
$886$	3.10141	−	2.25330i	0.104194	−	0.0757012i
$887$	−8.83932	+	12.1663i	−0.296795	+	0.408504i	−0.931206	−	0.364492i	$-0.881243\pi$
$887$	−8.83932	+	12.1663i	−0.296795	+	0.408504i	0.634411	+	0.772996i	$0.281243\pi$
$888$	−1.79452	+	2.46994i	−0.0602201	+	0.0828858i
$889$	0.442469	−	0.321473i	0.0148399	−	0.0107819i
$890$	−16.4878	+	8.10186i	−0.552673	+	0.271575i
$891$	7.91194	+	5.74836i	0.265060	+	0.192577i
$892$	24.9746	−	8.11475i	0.836213	−	0.271702i
$893$		−	0.838403i		−	0.0280561i
$894$	−0.0599619	−	0.184544i	−0.00200542	−	0.00617206i
$895$	−9.46027	−	19.2523i	−0.316222	−	0.643532i
$896$	−0.0694823	+	0.213845i	−0.00232124	+	0.00714405i
$897$	0.558206	+	0.181372i	0.0186380	+	0.00605584i
$898$	−13.1057	−	18.0385i	−0.437344	−	0.601953i
$899$	4.17044			0.139092
$900$	−8.22750	−	12.0441i	−0.274250	−	0.401470i
$901$	−31.4214			−1.04680
$902$	−7.53114	−	10.3657i	−0.250760	−	0.345141i
$903$	0.653307	+	0.212272i	0.0217407	+	0.00706398i
$904$	−0.395296	+	1.21660i	−0.0131474	+	0.0404634i
$905$	32.1683	+	16.9828i	1.06931	+	0.564528i
$906$	1.20918	+	3.72146i	0.0401722	+	0.123637i
$907$			6.86515i			0.227953i	0.993483	+	0.113977i	$0.0363589\pi$
$907$			6.86515i			0.227953i	−0.993483	+	0.113977i	$0.963641\pi$
$908$	3.73053	−	1.21212i	0.123802	−	0.0402258i
$909$	11.2512	+	8.17450i	0.373180	+	0.271131i
$910$	0.763503	+	0.785984i	0.0253099	+	0.0260551i
$911$	1.44719	−	1.05145i	0.0479476	−	0.0348360i	−0.563553	−	0.826080i	$-0.690566\pi$
$911$	1.44719	−	1.05145i	0.0479476	−	0.0348360i	0.611501	+	0.791244i	$0.290566\pi$
$912$	−0.169132	+	0.232790i	−0.00560052	+	0.00770845i
$913$	−7.03272	+	9.67970i	−0.232749	+	0.320351i
$914$	−14.9451	+	10.8583i	−0.494341	+	0.359160i
$915$	4.40178	−	8.33771i	0.145518	−	0.275636i
$916$	−4.75858	−	3.45731i	−0.157228	−	0.114233i
$917$	2.23477	−	0.726122i	0.0737988	−	0.0239787i
$918$		−	5.12750i		−	0.169233i
$919$	−14.5118	−	44.6628i	−0.478701	−	1.47329i	−0.840900	−	0.541190i	$-0.817974\pi$
$919$	−14.5118	−	44.6628i	−0.478701	−	1.47329i	0.362199	−	0.932101i	$-0.382026\pi$
$920$	−2.07155	+	0.297363i	−0.0682971	+	0.00980378i
$921$	1.21525	−	3.74016i	0.0400440	−	0.123243i
$922$	9.10235	+	2.95753i	0.299770	+	0.0974012i
$923$	19.7923	+	27.2418i	0.651472	+	0.896675i
$924$	−0.0765870			−0.00251953
$925$	−41.9964	−	32.4145i	−1.38083	−	1.06578i
$926$	−36.7432			−1.20746
$927$	8.14738	+	11.2139i	0.267595	+	0.368313i
$928$	2.87807	+	0.935140i	0.0944771	+	0.0306975i
$929$	−3.04248	+	9.36379i	−0.0998205	+	0.307216i	−0.988480	−	0.151352i	$-0.951637\pi$
$929$	−3.04248	+	9.36379i	−0.0998205	+	0.307216i	0.888659	+	0.458568i	$0.151637\pi$
$930$	0.151402	−	0.873683i	0.00496465	−	0.0286492i
$931$	2.14750	+	6.60931i	0.0703813	+	0.216611i
$932$			10.0009i			0.327589i
$933$	−4.21205	+	1.36858i	−0.137896	+	0.0448053i
$934$	−6.24605	−	4.53802i	−0.204377	−	0.148489i
$935$	1.13263	+	7.89033i	0.0370408	+	0.258041i
$936$	5.14358	−	3.73703i	0.168123	−	0.122149i
$937$	5.34327	−	7.35438i	0.174557	−	0.240257i	−0.712770	−	0.701398i	$-0.752560\pi$
$937$	5.34327	−	7.35438i	0.174557	−	0.240257i	0.887327	+	0.461141i	$0.152560\pi$
$938$	0.191963	−	0.264215i	0.00626783	−	0.00862692i
$939$	5.40251	−	3.92515i	0.176304	−	0.128092i
$940$	0.266379	+	1.85571i	0.00868833	+	0.0605264i
$941$	−36.4730	−	26.4992i	−1.18898	−	0.863848i	−0.195828	−	0.980638i	$-0.562739\pi$
$941$	−36.4730	−	26.4992i	−1.18898	−	0.863848i	−0.993157	+	0.116790i	$0.962739\pi$
$942$	4.64221	−	1.50835i	0.151251	−	0.0491445i
$943$			10.1304i			0.329891i
$944$	−4.01202	−	12.3477i	−0.130580	−	0.401885i
$945$	−0.146168	+	0.843481i	−0.00475484	+	0.0274384i
$946$	−3.88375	+	11.9529i	−0.126272	+	0.388624i
$947$	−47.4291	−	15.4106i	−1.54124	−	0.500779i	−0.589520	−	0.807754i	$-0.700683\pi$
$947$	−47.4291	−	15.4106i	−1.54124	−	0.500779i	−0.951718	+	0.306975i	$0.900683\pi$
$948$	−1.69568	−	2.33390i	−0.0550730	−	0.0758015i
$949$	−5.55317			−0.180264
$950$	−3.95812	−	3.05504i	−0.128418	−	0.0991186i
$951$	−1.92399			−0.0623896
$952$	−0.398009	−	0.547813i	−0.0128996	−	0.0177547i
$953$	37.2218	+	12.0941i	1.20573	+	0.391766i	0.841866	−	0.539686i	$-0.181457\pi$
$953$	37.2218	+	12.0941i	1.20573	+	0.391766i	0.363865	+	0.931452i	$0.381457\pi$
$954$	9.40571	−	28.9478i	0.304521	−	0.937220i
$955$	−35.7169	+	5.12701i	−1.15577	+	0.165906i
$956$	−7.51786	−	23.1376i	−0.243145	−	0.748323i
$957$			1.03076i			0.0333197i
$958$	−3.46315	+	1.12525i	−0.111889	+	0.0363551i
$959$	2.74963	+	1.99772i	0.0887900	+	0.0645097i
$960$	0.300391	−	0.568990i	0.00969506	−	0.0183641i
$961$	23.5430	−	17.1050i	0.759453	−	0.551775i
$962$	13.5920	−	18.7078i	0.438223	−	0.603162i
$963$	−28.4107	+	39.1040i	−0.915523	+	1.26011i
$964$	−10.8410	+	7.87647i	−0.349166	+	0.253684i
$965$	−37.5968	−	38.7038i	−1.21028	−	1.24592i
$966$	0.0489888	+	0.0355924i	0.00157619	+	0.00114517i
$967$	−43.0764	+	13.9964i	−1.38524	+	0.450093i	−0.904389	−	0.426708i	$-0.859673\pi$
$967$	−43.0764	+	13.9964i	−1.38524	+	0.450093i	−0.480854	+	0.876801i	$0.659673\pi$
$968$			9.59876i			0.308516i
$969$	−0.267776	−	0.824130i	−0.00860220	−	0.0264749i
$970$	5.53837	+	2.92391i	0.177826	+	0.0938811i
$971$	−9.83854	+	30.2799i	−0.315734	+	0.971728i	0.659718	+	0.751513i	$0.270676\pi$
$971$	−9.83854	+	30.2799i	−0.315734	+	0.971728i	−0.975451	+	0.220215i	$0.929324\pi$
$972$	7.11883	+	2.31305i	0.228336	+	0.0741910i
$973$	−1.33982	−	1.84411i	−0.0429528	−	0.0591194i
$974$	37.1353			1.18989
$975$	−1.76868	−	2.58914i	−0.0566431	−	0.0829189i
$976$	−14.6535			−0.469048
$977$	−23.9415	−	32.9526i	−0.765956	−	1.05425i	−0.996695	−	0.0812328i	$-0.974114\pi$
$977$	−23.9415	−	32.9526i	−0.765956	−	1.05425i	0.230739	−	0.973016i	$-0.425886\pi$
$978$	2.43227	+	0.790293i	0.0777755	+	0.0252708i
$979$	−3.00527	+	9.24927i	−0.0960489	+	0.295608i
$980$	−6.85315	−	13.9466i	−0.218916	−	0.445508i
$981$	5.55556	+	17.0982i	0.177375	+	0.545905i
$982$			25.6211i			0.817601i
$983$	17.6260	−	5.72703i	0.562182	−	0.182664i	−0.0141208	−	0.999900i	$-0.504495\pi$
$983$	17.6260	−	5.72703i	0.562182	−	0.182664i	0.576303	+	0.817236i	$0.304495\pi$
$984$	−2.51971	−	1.83067i	−0.0803253	−	0.0583598i
$985$	−18.8078	+	9.24186i	−0.599266	+	0.294470i
$986$	−7.37283	+	5.35668i	−0.234799	+	0.170591i
$987$	0.0318838	−	0.0438843i	0.00101487	−	0.00139685i
$988$	1.28103	−	1.76319i	0.0407551	−	0.0560946i
$989$	8.03915	−	5.84078i	0.255630	−	0.185726i
$990$	−7.60822	−	1.31844i	−0.241805	−	0.0419027i
$991$	19.7177	+	14.3258i	0.626354	+	0.455072i	0.855135	−	0.518405i	$-0.173474\pi$
$991$	19.7177	+	14.3258i	0.626354	+	0.455072i	−0.228781	+	0.973478i	$0.573474\pi$
$992$	−1.31067	+	0.425863i	−0.0416138	+	0.0135211i
$993$			5.96657i			0.189344i
$994$	1.07352	+	3.30396i	0.0340500	+	0.104795i
$995$	20.0500	−	19.4765i	0.635628	−	0.617447i
$996$	−0.898746	+	2.76606i	−0.0284779	+	0.0876458i
$997$	−38.8486	−	12.6227i	−1.23035	−	0.399765i	−0.379508	−	0.925188i	$-0.623907\pi$
$997$	−38.8486	−	12.6227i	−1.23035	−	0.399765i	−0.850841	+	0.525424i	$0.823907\pi$
$998$	18.2064	+	25.0590i	0.576314	+	0.793228i
$999$	18.0653			0.571561

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.n.a.39.6	✓	88
25.9	even	10	inner	950.2.n.a.609.6	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.n.a.39.6	✓	88	1.1	even	1	trivial
950.2.n.a.609.6	yes	88	25.9	even	10	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:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.587785 - 0.809017i) q^{2} +(-0.273661 - 0.0889179i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-1.60391 + 1.55803i) q^{5} +(0.0889179 + 0.273661i) q^{6} -0.224849i q^{7} +(0.951057 - 0.309017i) q^{8} +(-2.36007 - 1.71469i) q^{9} +O(q^{10})\)	\(q+(-0.587785 - 0.809017i) q^{2} +(-0.273661 - 0.0889179i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-1.60391 + 1.55803i) q^{5} +(0.0889179 + 0.273661i) q^{6} -0.224849i q^{7} +(0.951057 - 0.309017i) q^{8} +(-2.36007 - 1.71469i) q^{9} +(2.20323 + 0.381801i) q^{10} +(0.957666 - 0.695785i) q^{11} +(0.169132 - 0.232790i) q^{12} +(-1.28103 + 1.76319i) q^{13} +(-0.181907 + 0.132163i) q^{14} +(0.577465 - 0.283757i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(2.86410 - 0.930604i) q^{17} +2.91720i q^{18} +(0.309017 + 0.951057i) q^{19} +(-0.986144 - 2.00687i) q^{20} +(-0.0199931 + 0.0615326i) q^{21} +(-1.12580 - 0.365796i) q^{22} +(0.550122 + 0.757178i) q^{23} -0.287744 q^{24} +(0.145055 - 4.99790i) q^{25} +2.17942 q^{26} +(1.00079 + 1.37747i) q^{27} +(0.213845 + 0.0694823i) q^{28} +(0.935140 - 2.87807i) q^{29} +(-0.568990 - 0.300391i) q^{30} +(0.425863 + 1.31067i) q^{31} +1.00000i q^{32} +(-0.323944 + 0.105256i) q^{33} +(-2.43635 - 1.77011i) q^{34} +(0.350323 + 0.360638i) q^{35} +(2.36007 - 1.71469i) q^{36} +(6.23650 - 8.58381i) q^{37} +(0.587785 - 0.809017i) q^{38} +(0.507348 - 0.368610i) q^{39} +(-1.04395 + 1.97741i) q^{40} +(8.75676 + 6.36216i) q^{41} +(0.0615326 - 0.0199931i) q^{42} -10.6173i q^{43} +(0.365796 + 1.12580i) q^{44} +(6.45688 - 0.926860i) q^{45} +(0.289216 - 0.890116i) q^{46} +(-0.797369 - 0.259081i) q^{47} +(0.169132 + 0.232790i) q^{48} +6.94944 q^{49} +(-4.12864 + 2.82034i) q^{50} -0.866541 q^{51} +(-1.28103 - 1.76319i) q^{52} +(-9.92313 - 3.22422i) q^{53} +(0.526145 - 1.61931i) q^{54} +(-0.451953 + 2.60805i) q^{55} +(-0.0694823 - 0.213845i) q^{56} -0.287744i q^{57} +(-2.87807 + 0.935140i) q^{58} +(10.5036 + 7.63132i) q^{59} +(0.0914227 + 0.636888i) q^{60} +(11.8550 - 8.61313i) q^{61} +(0.810039 - 1.11492i) q^{62} +(-0.385547 + 0.530660i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-0.692451 - 4.82389i) q^{65} +(0.275563 + 0.200208i) q^{66} +(-1.38138 + 0.448839i) q^{67} +3.01150i q^{68} +(-0.0832203 - 0.256126i) q^{69} +(0.0858476 - 0.495395i) q^{70} +(4.77440 - 14.6941i) q^{71} +(-2.77443 - 0.901465i) q^{72} +(1.49768 + 2.06138i) q^{73} -10.6102 q^{74} +(-0.484098 + 1.35483i) q^{75} -1.00000 q^{76} +(-0.156447 - 0.215331i) q^{77} +(-0.596423 - 0.193790i) q^{78} +(3.09813 - 9.53507i) q^{79} +(2.21338 - 0.317722i) q^{80} +(2.55300 + 7.85733i) q^{81} -10.8239i q^{82} +(-9.61289 + 3.12342i) q^{83} +(-0.0523427 - 0.0380292i) q^{84} +(-3.14385 + 5.95498i) q^{85} +(-8.58954 + 6.24067i) q^{86} +(-0.511823 + 0.704464i) q^{87} +(0.695785 - 0.957666i) q^{88} +(-6.64664 + 4.82907i) q^{89} +(-4.54510 - 4.67893i) q^{90} +(0.396452 + 0.288040i) q^{91} +(-0.890116 + 0.289216i) q^{92} -0.396546i q^{93} +(0.259081 + 0.797369i) q^{94} +(-1.97741 - 1.04395i) q^{95} +(0.0889179 - 0.273661i) q^{96} +(2.66373 + 0.865499i) q^{97} +(-4.08478 - 5.62222i) q^{98} -3.45321 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q + 22 q^{4} + 10 q^{5} + 2 q^{6} + 24 q^{9}+O(q^{10}) \) 88 * q + 22 * q^4 + 10 * q^5 + 2 * q^6 + 24 * q^9	\( 88 q + 22 q^{4} + 10 q^{5} + 2 q^{6} + 24 q^{9} + 26 q^{11} + 10 q^{12} - 10 q^{14} + 12 q^{15} - 22 q^{16} - 40 q^{17} - 22 q^{19} + 10 q^{23} + 8 q^{24} + 6 q^{25} - 28 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} - 4 q^{30} + 2 q^{31} - 8 q^{34} - 48 q^{35} - 24 q^{36} + 50 q^{37} + 8 q^{39} + 32 q^{41} + 10 q^{42} + 4 q^{44} - 8 q^{45} + 10 q^{46} + 10 q^{48} - 56 q^{49} + 28 q^{50} - 60 q^{51} - 70 q^{53} - 8 q^{54} + 4 q^{55} + 10 q^{56} - 60 q^{58} - 28 q^{59} - 12 q^{60} - 58 q^{61} + 60 q^{63} + 22 q^{64} - 24 q^{65} + 4 q^{66} - 70 q^{67} - 8 q^{69} - 4 q^{70} + 48 q^{71} + 40 q^{73} + 52 q^{74} + 108 q^{75} - 88 q^{76} - 50 q^{78} - 20 q^{79} + 24 q^{81} - 80 q^{83} + 30 q^{85} + 20 q^{86} + 70 q^{87} + 10 q^{88} - 62 q^{89} - 104 q^{90} + 20 q^{91} - 10 q^{92} - 10 q^{94} + 2 q^{96} - 10 q^{97} + 60 q^{98} + 156 q^{99}+O(q^{100}) \) 88 * q + 22 * q^4 + 10 * q^5 + 2 * q^6 + 24 * q^9 + 26 * q^11 + 10 * q^12 - 10 * q^14 + 12 * q^15 - 22 * q^16 - 40 * q^17 - 22 * q^19 + 10 * q^23 + 8 * q^24 + 6 * q^25 - 28 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 - 4 * q^30 + 2 * q^31 - 8 * q^34 - 48 * q^35 - 24 * q^36 + 50 * q^37 + 8 * q^39 + 32 * q^41 + 10 * q^42 + 4 * q^44 - 8 * q^45 + 10 * q^46 + 10 * q^48 - 56 * q^49 + 28 * q^50 - 60 * q^51 - 70 * q^53 - 8 * q^54 + 4 * q^55 + 10 * q^56 - 60 * q^58 - 28 * q^59 - 12 * q^60 - 58 * q^61 + 60 * q^63 + 22 * q^64 - 24 * q^65 + 4 * q^66 - 70 * q^67 - 8 * q^69 - 4 * q^70 + 48 * q^71 + 40 * q^73 + 52 * q^74 + 108 * q^75 - 88 * q^76 - 50 * q^78 - 20 * q^79 + 24 * q^81 - 80 * q^83 + 30 * q^85 + 20 * q^86 + 70 * q^87 + 10 * q^88 - 62 * q^89 - 104 * q^90 + 20 * q^91 - 10 * q^92 - 10 * q^94 + 2 * q^96 - 10 * q^97 + 60 * q^98 + 156 * q^99

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