LMFDB - Embedded newform 605.2.s.a.16.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(16,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(110))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("605.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.s (of order $55$, degree $40$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$880$
Relative dimension:	$22$ over $\Q(\zeta_{55})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label			16.1
Character	$\chi$	$=$	605.16
Dual form			605.2.s.a.416.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.64787 - 0.303815i) q^{2} +(1.98682 + 1.44351i) q^{3} +(4.97089 + 1.15593i) q^{4} +(0.564443 - 0.825472i) q^{5} +(-4.82227 - 4.42584i) q^{6} +(0.0313353 + 0.0322433i) q^{7} +(-7.79061 - 2.77968i) q^{8} +(0.936675 + 2.88279i) q^{9} +O(q^{10})$	\(q+(-2.64787 - 0.303815i) q^{2} +(1.98682 + 1.44351i) q^{3} +(4.97089 + 1.15593i) q^{4} +(0.564443 - 0.825472i) q^{5} +(-4.82227 - 4.42584i) q^{6} +(0.0313353 + 0.0322433i) q^{7} +(-7.79061 - 2.77968i) q^{8} +(0.936675 + 2.88279i) q^{9} +(-1.74536 + 2.01426i) q^{10} +(-3.20296 - 0.860856i) q^{11} +(8.20765 + 9.47214i) q^{12} +(3.23839 - 5.37027i) q^{13} +(-0.0731758 - 0.0948961i) q^{14} +(2.31302 - 0.825283i) q^{15} +(10.6242 + 5.22358i) q^{16} +(5.41057 - 4.42420i) q^{17} +(-1.60436 - 7.91783i) q^{18} +(-1.29227 - 0.0738949i) q^{19} +(3.75998 - 3.45088i) q^{20} +(0.0157141 + 0.109294i) q^{21} +(8.21947 + 3.25254i) q^{22} +(1.07441 - 7.47271i) q^{23} +(-11.4660 - 16.7685i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-10.2064 + 13.2359i) q^{26} +(-0.0236350 + 0.0727410i) q^{27} +(0.118493 + 0.196499i) q^{28} +(-0.788127 + 2.02429i) q^{29} +(-6.37531 + 1.48251i) q^{30} +(9.47708 + 4.00505i) q^{31} +(-12.6275 - 8.11518i) q^{32} +(-5.12103 - 6.33385i) q^{33} +(-15.6706 + 10.0709i) q^{34} +(0.0443029 - 0.00766692i) q^{35} +(1.32380 + 15.4128i) q^{36} +(-0.545631 + 6.35266i) q^{37} +(3.39933 + 0.588277i) q^{38} +(14.1861 - 5.99510i) q^{39} +(-6.69191 + 4.86196i) q^{40} +(-7.43363 + 4.19796i) q^{41} +(-0.00840378 - 0.294171i) q^{42} +(-1.01836 + 0.299018i) q^{43} +(-14.9265 - 7.98162i) q^{44} +(2.90836 + 0.853972i) q^{45} +(-5.11523 + 19.4603i) q^{46} +(-1.41106 + 6.96387i) q^{47} +(13.5681 + 25.7144i) q^{48} +(0.199835 - 6.99512i) q^{49} +(0.677554 + 2.57768i) q^{50} +(17.1362 - 0.979881i) q^{51} +(22.3054 - 22.9517i) q^{52} +(-2.72175 + 1.33819i) q^{53} +(0.0846822 - 0.185428i) q^{54} +(-2.51850 + 2.15805i) q^{55} +(-0.154495 - 0.338297i) q^{56} +(-2.46084 - 2.01222i) q^{57} +(2.70187 - 5.12061i) q^{58} +(4.15976 + 2.34912i) q^{59} +(12.4517 - 1.42870i) q^{60} +(-0.330031 + 0.0378675i) q^{61} +(-23.8773 - 13.4841i) q^{62} +(-0.0635995 + 0.120534i) q^{63} +(12.6404 + 10.3360i) q^{64} +(-2.60512 - 5.70441i) q^{65} +(11.6355 + 18.3271i) q^{66} +(-1.43712 + 3.14686i) q^{67} +(32.0094 - 15.7380i) q^{68} +(12.9216 - 13.2960i) q^{69} +(-0.119638 + 0.00684113i) q^{70} +(-1.05084 - 3.99782i) q^{71} +(0.715974 - 25.0623i) q^{72} +(0.481148 + 0.911876i) q^{73} +(3.37479 - 16.6553i) q^{74} +(0.624319 - 2.37516i) q^{75} +(-6.33834 - 1.86111i) q^{76} +(-0.0726088 - 0.130249i) q^{77} +(-39.3844 + 11.5643i) q^{78} +(0.397747 + 13.9230i) q^{79} +(10.3087 - 5.82159i) q^{80} +(7.20478 - 5.23458i) q^{81} +(20.9587 - 8.85722i) q^{82} +(6.13237 + 1.06125i) q^{83} +(-0.0482233 + 0.561454i) q^{84} +(-0.598094 - 6.96348i) q^{85} +(2.78734 - 0.482368i) q^{86} +(-4.48793 + 2.88422i) q^{87} +(22.5601 + 15.6098i) q^{88} +(-5.05670 - 3.24974i) q^{89} +(-7.44152 - 3.14481i) q^{90} +(0.274631 - 0.0638627i) q^{91} +(13.9787 - 35.9041i) q^{92} +(13.0479 + 21.6375i) q^{93} +(5.85204 - 18.0107i) q^{94} +(-0.790414 + 1.02503i) q^{95} +(-13.3741 - 34.3512i) q^{96} +(-2.95206 - 4.31724i) q^{97} +(-2.65436 + 18.4615i) q^{98} +(-0.518464 - 10.0398i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 880 q + 2 q^{2} + 5 q^{3} + 24 q^{4} - 22 q^{5} + 7 q^{6} + q^{7} - 4 q^{8} - 217 q^{9}+O(q^{10}) $ 880 * q + 2 * q^2 + 5 * q^3 + 24 * q^4 - 22 * q^5 + 7 * q^6 + q^7 - 4 * q^8 - 217 * q^9	\( 880 q + 2 q^{2} + 5 q^{3} + 24 q^{4} - 22 q^{5} + 7 q^{6} + q^{7} - 4 q^{8} - 217 q^{9} - 2 q^{10} - 3 q^{11} - 49 q^{12} + 2 q^{13} + 60 q^{14} - 16 q^{15} + 18 q^{16} + 13 q^{17} - 15 q^{19} - 19 q^{20} + 42 q^{21} - 301 q^{22} + 31 q^{23} - 409 q^{24} + 22 q^{25} - 4 q^{26} - 4 q^{27} + 6 q^{28} + 9 q^{29} + 19 q^{30} - 10 q^{31} + 94 q^{32} - 5 q^{33} + 12 q^{34} + 4 q^{35} + 35 q^{36} + 73 q^{37} - 8 q^{38} - 21 q^{39} + 4 q^{40} - 8 q^{41} - 17 q^{42} + 93 q^{43} + q^{44} + 80 q^{45} + 129 q^{46} - 178 q^{47} + 153 q^{48} - 177 q^{49} + 2 q^{50} - 12 q^{51} - 126 q^{52} - 99 q^{53} - 93 q^{54} - 7 q^{55} - 25 q^{56} + 100 q^{57} - 26 q^{58} + 25 q^{59} - 4 q^{60} - 6 q^{61} + 63 q^{62} - 25 q^{63} + 8 q^{64} - 2 q^{65} + 64 q^{66} + 47 q^{67} - 11 q^{68} + 67 q^{69} - 60 q^{70} + 18 q^{71} - 641 q^{72} - 35 q^{73} - 108 q^{74} - 5 q^{75} - 132 q^{76} - 166 q^{77} + 115 q^{78} - 103 q^{79} - 23 q^{80} - 230 q^{81} - 72 q^{82} + 149 q^{83} - 28 q^{84} - 21 q^{85} + 49 q^{86} + 6 q^{87} - 85 q^{88} + 44 q^{89} - 34 q^{90} - 135 q^{92} - 172 q^{93} + 49 q^{94} - 106 q^{95} - 115 q^{96} - 421 q^{97} - 192 q^{98} - 156 q^{99}+O(q^{100}) \) 880 * q + 2 * q^2 + 5 * q^3 + 24 * q^4 - 22 * q^5 + 7 * q^6 + q^7 - 4 * q^8 - 217 * q^9 - 2 * q^10 - 3 * q^11 - 49 * q^12 + 2 * q^13 + 60 * q^14 - 16 * q^15 + 18 * q^16 + 13 * q^17 - 15 * q^19 - 19 * q^20 + 42 * q^21 - 301 * q^22 + 31 * q^23 - 409 * q^24 + 22 * q^25 - 4 * q^26 - 4 * q^27 + 6 * q^28 + 9 * q^29 + 19 * q^30 - 10 * q^31 + 94 * q^32 - 5 * q^33 + 12 * q^34 + 4 * q^35 + 35 * q^36 + 73 * q^37 - 8 * q^38 - 21 * q^39 + 4 * q^40 - 8 * q^41 - 17 * q^42 + 93 * q^43 + q^44 + 80 * q^45 + 129 * q^46 - 178 * q^47 + 153 * q^48 - 177 * q^49 + 2 * q^50 - 12 * q^51 - 126 * q^52 - 99 * q^53 - 93 * q^54 - 7 * q^55 - 25 * q^56 + 100 * q^57 - 26 * q^58 + 25 * q^59 - 4 * q^60 - 6 * q^61 + 63 * q^62 - 25 * q^63 + 8 * q^64 - 2 * q^65 + 64 * q^66 + 47 * q^67 - 11 * q^68 + 67 * q^69 - 60 * q^70 + 18 * q^71 - 641 * q^72 - 35 * q^73 - 108 * q^74 - 5 * q^75 - 132 * q^76 - 166 * q^77 + 115 * q^78 - 103 * q^79 - 23 * q^80 - 230 * q^81 - 72 * q^82 + 149 * q^83 - 28 * q^84 - 21 * q^85 + 49 * q^86 + 6 * q^87 - 85 * q^88 + 44 * q^89 - 34 * q^90 - 135 * q^92 - 172 * q^93 + 49 * q^94 - 106 * q^95 - 115 * q^96 - 421 * q^97 - 192 * q^98 - 156 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$1$	$e\left(\frac{2}{55}\right)$

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 $

$2$	−2.64787	−	0.303815i	−1.87233	−	0.214830i	−0.898005	−	0.439985i	$-0.854984\pi$
$2$	−2.64787	−	0.303815i	−1.87233	−	0.214830i	−0.974323	+	0.225156i	$0.927711\pi$
$3$	1.98682	+	1.44351i	1.14709	+	0.833408i	0.988091	−	0.153871i	$-0.0491739\pi$
$3$	1.98682	+	1.44351i	1.14709	+	0.833408i	0.158997	+	0.987279i	$0.449174\pi$
$4$	4.97089	+	1.15593i	2.48545	+	0.577966i
$5$	0.564443	−	0.825472i	0.252427	−	0.369162i
$5$	0.564443	−	0.825472i	0.252427	−	0.369162i
$6$	−4.82227	−	4.42584i	−1.96868	−	1.80684i
$7$	0.0313353	+	0.0322433i	0.0118436	+	0.0121868i	0.723028	−	0.690819i	$-0.242750\pi$
$7$	0.0313353	+	0.0322433i	0.0118436	+	0.0121868i	−0.711184	+	0.703006i	$0.751841\pi$
$8$	−7.79061	−	2.77968i	−2.75440	−	0.982767i
$9$	0.936675	+	2.88279i	0.312225	+	0.960930i
$10$	−1.74536	+	2.01426i	−0.551932	+	0.636964i
$11$	−3.20296	−	0.860856i	−0.965728	−	0.259558i
$11$	−3.20296	−	0.860856i	−0.965728	−	0.259558i
$12$	8.20765	+	9.47214i	2.36935	+	2.73437i
$13$	3.23839	−	5.37027i	0.898168	−	1.48944i	0.0263287	−	0.999653i	$-0.491618\pi$
$13$	3.23839	−	5.37027i	0.898168	−	1.48944i	0.871840	−	0.489792i	$-0.162927\pi$
$14$	−0.0731758	−	0.0948961i	−0.0195571	−	0.0253621i
$15$	2.31302	−	0.825283i	0.597219	−	0.213087i
$16$	10.6242	+	5.22358i	2.65606	+	1.30590i
$17$	5.41057	−	4.42420i	1.31226	−	1.07303i	0.320183	−	0.947356i	$-0.396256\pi$
$17$	5.41057	−	4.42420i	1.31226	−	1.07303i	0.992072	−	0.125670i	$-0.0401081\pi$
$18$	−1.60436	−	7.91783i	−0.378151	−	1.86625i
$19$	−1.29227	−	0.0738949i	−0.296468	−	0.0169527i	−0.0917780	−	0.995779i	$-0.529255\pi$
$19$	−1.29227	−	0.0738949i	−0.296468	−	0.0169527i	−0.204690	+	0.978827i	$0.565619\pi$
$20$	3.75998	−	3.45088i	0.840756	−	0.771639i
$21$	0.0157141	+	0.109294i	0.00342910	+	0.0238499i
$22$	8.21947	+	3.25254i	1.75240	+	0.693444i
$23$	1.07441	−	7.47271i	0.224031	−	1.55817i	−0.498538	−	0.866868i	$-0.666130\pi$
$23$	1.07441	−	7.47271i	0.224031	−	1.55817i	0.722569	−	0.691299i	$-0.242961\pi$
$24$	−11.4660	−	16.7685i	−2.34049	−	3.42286i
$25$	−0.362808	−	0.931864i	−0.0725615	−	0.186373i
$26$	−10.2064	+	13.2359i	−2.00164	+	2.59578i
$27$	−0.0236350	+	0.0727410i	−0.00454856	+	0.0139990i
$28$	0.118493	+	0.196499i	0.0223932	+	0.0371349i
$29$	−0.788127	+	2.02429i	−0.146351	+	0.375901i	−0.985889	−	0.167401i	$-0.946462\pi$
$29$	−0.788127	+	2.02429i	−0.146351	+	0.375901i	0.839537	+	0.543302i	$0.182826\pi$
$30$	−6.37531	+	1.48251i	−1.16397	+	0.270669i
$31$	9.47708	+	4.00505i	1.70213	+	0.719328i	0.999973	+	0.00730833i	$0.00232634\pi$
$31$	9.47708	+	4.00505i	1.70213	+	0.719328i	0.702160	+	0.712019i	$0.252219\pi$
$32$	−12.6275	−	8.11518i	−2.23224	−	1.43458i
$33$	−5.12103	−	6.33385i	−0.891457	−	1.10258i
$34$	−15.6706	+	10.0709i	−2.68749	+	1.72714i
$35$	0.0443029	−	0.00766692i	0.00748856	−	0.00129595i
$36$	1.32380	+	15.4128i	0.220634	+	2.56880i
$37$	−0.545631	+	6.35266i	−0.0897011	+	1.04437i	0.803677	+	0.595066i	$0.202874\pi$
$37$	−0.545631	+	6.35266i	−0.0897011	+	1.04437i	−0.893378	+	0.449305i	$0.851672\pi$
$38$	3.39933	+	0.588277i	0.551444	+	0.0954311i
$39$	14.1861	−	5.99510i	2.27159	−	0.959984i
$40$	−6.69191	+	4.86196i	−1.05808	+	0.768743i
$41$	−7.43363	+	4.19796i	−1.16094	+	0.655612i	−0.946999	−	0.321236i	$-0.895902\pi$
$41$	−7.43363	+	4.19796i	−1.16094	+	0.655612i	−0.213938	+	0.976847i	$0.568629\pi$
$42$	−0.00840378	−	0.294171i	−0.00129673	−	0.0453915i
$43$	−1.01836	+	0.299018i	−0.155299	+	0.0455998i	−0.358458	−	0.933546i	$-0.616697\pi$
$43$	−1.01836	+	0.299018i	−0.155299	+	0.0455998i	0.203159	+	0.979146i	$0.434879\pi$
$44$	−14.9265	−	7.98162i	−2.25025	−	1.20327i
$45$	2.90836	+	0.853972i	0.433553	+	0.127303i
$46$	−5.11523	+	19.4603i	−0.754199	+	2.86927i
$47$	−1.41106	+	6.96387i	−0.205825	+	1.01578i	0.735304	+	0.677737i	$0.237039\pi$
$47$	−1.41106	+	6.96387i	−0.205825	+	1.01578i	−0.941129	+	0.338048i	$0.890233\pi$
$48$	13.5681	+	25.7144i	1.95839	+	3.71156i
$49$	0.199835	−	6.99512i	0.0285478	−	0.999304i
$50$	0.677554	+	2.57768i	0.0958206	+	0.364539i
$51$	17.1362	−	0.979881i	2.39954	−	0.137211i
$52$	22.3054	−	22.9517i	3.09320	−	3.18283i
$53$	−2.72175	+	1.33819i	−0.373860	+	0.183815i	−0.618473	−	0.785806i	$-0.712248\pi$
$53$	−2.72175	+	1.33819i	−0.373860	+	0.183815i	0.244612	+	0.969621i	$0.421339\pi$
$54$	0.0846822	−	0.185428i	0.0115238	−	0.0252336i
$55$	−2.51850	+	2.15805i	−0.339594	+	0.290991i
$56$	−0.154495	−	0.338297i	−0.0206453	−	0.0452068i
$57$	−2.46084	−	2.01222i	−0.325947	−	0.266525i
$58$	2.70187	−	5.12061i	0.354772	−	0.672368i
$59$	4.15976	+	2.34912i	0.541554	+	0.305830i	0.738130	−	0.674659i	$-0.235709\pi$
$59$	4.15976	+	2.34912i	0.541554	+	0.305830i	−0.196575	+	0.980489i	$0.562982\pi$
$60$	12.4517	−	1.42870i	1.60751	−	0.184445i
$61$	−0.330031	+	0.0378675i	−0.0422561	+	0.00484844i	−0.135094	−	0.990833i	$-0.543134\pi$
$61$	−0.330031	+	0.0378675i	−0.0422561	+	0.00484844i	0.0928376	+	0.995681i	$0.470406\pi$
$62$	−23.8773	−	13.4841i	−3.03242	−	1.71249i
$63$	−0.0635995	+	0.120534i	−0.00801279	+	0.0151859i
$64$	12.6404	+	10.3360i	1.58005	+	1.29200i
$65$	−2.60512	−	5.70441i	−0.323125	−	0.707545i
$66$	11.6355	+	18.3271i	1.43223	+	2.25590i
$67$	−1.43712	+	3.14686i	−0.175572	+	0.384450i	−0.976876	−	0.213809i	$-0.931413\pi$
$67$	−1.43712	+	3.14686i	−0.175572	+	0.384450i	0.801303	+	0.598258i	$0.204140\pi$
$68$	32.0094	−	15.7380i	3.88171	−	1.90851i
$69$	12.9216	−	13.2960i	1.55557	−	1.60065i
$70$	−0.119638	+	0.00684113i	−0.0142994	+	0.000817671i
$71$	−1.05084	−	3.99782i	−0.124712	−	0.474454i	0.875245	−	0.483679i	$-0.160700\pi$
$71$	−1.05084	−	3.99782i	−0.124712	−	0.474454i	−0.999957	+	0.00922544i	$0.997063\pi$
$72$	0.715974	−	25.0623i	0.0843783	−	2.95363i
$73$	0.481148	+	0.911876i	0.0563141	+	0.106727i	0.910979	−	0.412454i	$-0.135328\pi$
$73$	0.481148	+	0.911876i	0.0563141	+	0.106727i	−0.854665	+	0.519181i	$0.826237\pi$
$74$	3.37479	−	16.6553i	0.392312	−	1.93613i
$75$	0.624319	−	2.37516i	0.0720902	−	0.274259i
$76$	−6.33834	−	1.86111i	−0.727058	−	0.213483i
$77$	−0.0726088	−	0.130249i	−0.00827454	−	0.0148432i
$78$	−39.3844	+	11.5643i	−4.45940	+	1.30940i
$79$	0.397747	+	13.9230i	0.0447500	+	1.56646i	0.643454	+	0.765485i	$0.277501\pi$
$79$	0.397747	+	13.9230i	0.0447500	+	1.56646i	−0.598704	+	0.800970i	$0.704317\pi$
$80$	10.3087	−	5.82159i	1.15255	−	0.650873i
$81$	7.20478	−	5.23458i	0.800531	−	0.581620i
$82$	20.9587	−	8.85722i	2.31450	−	0.978116i
$83$	6.13237	+	1.06125i	0.673115	+	0.116487i	0.496824	−	0.867851i	$-0.334499\pi$
$83$	6.13237	+	1.06125i	0.673115	+	0.116487i	0.176290	+	0.984338i	$0.443590\pi$
$84$	−0.0482233	+	0.561454i	−0.00526159	+	0.0612596i
$85$	−0.598094	−	6.96348i	−0.0648724	−	0.755295i
$86$	2.78734	−	0.482368i	0.300566	−	0.0520150i
$87$	−4.48793	+	2.88422i	−0.481157	+	0.309221i
$88$	22.5601	+	15.6098i	2.40491	+	1.66401i
$89$	−5.05670	−	3.24974i	−0.536009	−	0.344472i	0.244467	−	0.969658i	$-0.421387\pi$
$89$	−5.05670	−	3.24974i	−0.536009	−	0.344472i	−0.780476	+	0.625186i	$0.785023\pi$
$90$	−7.44152	−	3.14481i	−0.784405	−	0.331492i
$91$	0.274631	−	0.0638627i	0.0287891	−	0.00669463i
$92$	13.9787	−	35.9041i	1.45738	−	3.74326i
$93$	13.0479	+	21.6375i	1.35300	+	2.24370i
$94$	5.85204	−	18.0107i	0.603592	−	1.85766i
$95$	−0.790414	+	1.02503i	−0.0810947	+	0.105166i
$96$	−13.3741	−	34.3512i	−1.36499	−	3.50595i
$97$	−2.95206	−	4.31724i	−0.299736	−	0.438350i	0.645975	−	0.763358i	$-0.276451\pi$
$97$	−2.95206	−	4.31724i	−0.299736	−	0.438350i	−0.945711	+	0.325009i	$0.894633\pi$
$98$	−2.65436	+	18.4615i	−0.268131	+	1.86489i
$99$	−0.518464	−	10.0398i	−0.0521076	−	1.00904i
$100$	−0.726307	−	5.05158i	−0.0726307	−	0.505158i
$101$	−2.80401	+	2.57350i	−0.279009	+	0.256073i	−0.803447	−	0.595376i	$-0.797003\pi$
$101$	−2.80401	+	2.57350i	−0.279009	+	0.256073i	0.524437	+	0.851449i	$0.324276\pi$
$102$	−45.6720	−	2.61162i	−4.52220	−	0.258589i
$103$	−2.19911	−	10.8530i	−0.216685	−	1.06938i	−0.929724	−	0.368258i	$-0.879954\pi$
$103$	−2.19911	−	10.8530i	−0.216685	−	1.06938i	0.713039	−	0.701125i	$-0.247318\pi$
$104$	−40.1567	+	32.8360i	−3.93769	+	3.21983i
$105$	0.0990889	+	0.0487187i	0.00967009	+	0.00475446i
$106$	7.61339	−	2.71645i	0.739478	−	0.263845i
$107$	11.0281	+	14.3015i	1.06612	+	1.38258i	0.919366	+	0.393403i	$0.128702\pi$
$107$	11.0281	+	14.3015i	1.06612	+	1.38258i	0.146759	+	0.989172i	$0.453116\pi$
$108$	−0.201571	+	0.334268i	−0.0193962	+	0.0321649i
$109$	5.54250	+	6.39638i	0.530875	+	0.612662i	0.956320	−	0.292322i	$-0.0944279\pi$
$109$	5.54250	+	6.39638i	0.530875	+	0.612662i	−0.425445	+	0.904984i	$0.639882\pi$
$110$	7.32431	−	4.94907i	0.698345	−	0.471875i
$111$	−10.2542	+	11.8339i	−0.973283	+	1.12323i
$112$	0.164488	+	0.506242i	0.0155427	+	0.0478354i
$113$	1.93118	+	0.689043i	0.181670	+	0.0648197i	0.425318	−	0.905044i	$-0.360162\pi$
$113$	1.93118	+	0.689043i	0.181670	+	0.0648197i	−0.243648	+	0.969864i	$0.578344\pi$
$114$	5.90465	+	6.07574i	0.553021	+	0.569046i
$115$	−5.56206	−	5.10482i	−0.518665	−	0.476027i
$116$	−6.25763	+	9.15149i	−0.581007	+	0.849695i
$117$	18.5147	+	4.30540i	1.71168	+	0.398035i
$118$	−10.3008	−	7.48397i	−0.948266	−	0.688955i
$119$	0.312192	+	0.0358207i	0.0286186	+	0.00328368i
$120$	−20.3138			−1.85439
$121$	9.51786	+	5.51457i	0.865260	+	0.501324i
$122$	0.885384			0.0801589
$123$	−20.8290	−	2.38991i	−1.87809	−	0.215491i
$124$	42.4800	+	30.8635i	3.81482	+	2.77163i
$125$	−0.974012	−	0.226497i	−0.0871183	−	0.0202585i
$126$	0.205023	−	0.299837i	0.0182649	−	0.0267116i
$127$	−6.42470	−	5.89654i	−0.570100	−	0.523233i	0.338464	−	0.940979i	$-0.390093\pi$
$127$	−6.42470	−	5.89654i	−0.570100	−	0.523233i	−0.908564	+	0.417746i	$0.862820\pi$
$128$	−9.40744	−	9.68003i	−0.831508	−	0.855602i
$129$	−2.45493	−	0.875918i	−0.216145	−	0.0771202i
$130$	5.16493	+	15.8960i	0.452995	+	1.39417i
$131$	−0.0520643	+	0.0600854i	−0.00454888	+	0.00524969i	−0.758019	−	0.652232i	$-0.773833\pi$
$131$	−0.0520643	+	0.0600854i	−0.00454888	+	0.00524969i	0.753471	+	0.657482i	$0.228378\pi$
$132$	−18.1346	−	37.4044i	−1.57842	−	3.25564i
$133$	−0.0381112	−	0.0439827i	−0.00330466	−	0.00381378i
$134$	4.76137	−	7.89585i	0.411320	−	0.682098i
$135$	0.0467051	+	0.0605682i	0.00401973	+	0.00521288i
$136$	−54.4495	+	19.4275i	−4.66900	+	1.66590i
$137$	−1.56466	−	0.769292i	−0.133678	−	0.0657251i	0.373157	−	0.927768i	$-0.378275\pi$
$137$	−1.56466	−	0.769292i	−0.133678	−	0.0657251i	−0.506835	+	0.862043i	$0.669185\pi$
$138$	−38.2541	+	31.2802i	−3.25641	+	2.66275i
$139$	1.18943	+	5.87007i	0.100886	+	0.497893i	0.998382	+	0.0568690i	$0.0181117\pi$
$139$	1.18943	+	5.87007i	0.100886	+	0.497893i	−0.897496	+	0.441024i	$0.854616\pi$
$140$	0.229087	+	0.0130997i	0.0193614	+	0.00110713i
$141$	−12.8559	+	11.7990i	−1.08266	+	0.993659i
$142$	1.56790	+	10.9050i	0.131575	+	0.915124i
$143$	−14.9955	+	14.4130i	−1.25398	+	1.20527i
$144$	−5.10704	+	35.5202i	−0.425586	+	2.96002i
$145$	1.22614	+	1.79317i	0.101825	+	0.148915i
$146$	−0.996976	−	2.56071i	−0.0825103	−	0.211926i
$147$	10.4945	−	13.6096i	0.865575	−	1.12250i
$148$	−10.0555	+	30.9477i	−0.826558	+	2.54388i
$149$	−5.35839	−	8.88589i	−0.438976	−	0.727961i	0.555658	−	0.831411i	$-0.312466\pi$
$149$	−5.35839	−	8.88589i	−0.438976	−	0.727961i	−0.994635	+	0.103450i	$0.967012\pi$
$150$	−2.37472	+	6.09943i	−0.193895	+	0.498016i
$151$	−11.1049	+	2.58233i	−0.903701	+	0.210147i	−0.652500	−	0.757788i	$-0.726280\pi$
$151$	−11.1049	+	2.58233i	−0.903701	+	0.210147i	−0.251201	+	0.967935i	$0.580825\pi$
$152$	9.86220	+	4.16780i	0.799930	+	0.338053i
$153$	17.8220	+	11.4535i	1.44082	+	0.925960i
$154$	0.152687	+	0.366942i	0.0123039	+	0.0295690i
$155$	8.65532	−	5.56244i	0.695212	−	0.446786i
$156$	77.4475	−	13.4028i	6.20077	−	1.07308i
$157$	0.530689	+	6.17870i	0.0423536	+	0.493114i	0.986520	+	0.163644i	$0.0523247\pi$
$157$	0.530689	+	6.17870i	0.0423536	+	0.493114i	−0.944166	+	0.329470i	$0.893130\pi$
$158$	3.17682	−	36.9870i	0.252734	−	2.94253i
$159$	−7.33929	−	1.27011i	−0.582044	−	0.100727i
$160$	−13.8263	+	5.84306i	−1.09307	+	0.461935i
$161$	0.274611	−	0.199517i	0.0216424	−	0.0157241i
$162$	−20.6677	+	11.6716i	−1.62381	+	0.917005i
$163$	−0.271334	−	9.49791i	−0.0212525	−	0.743934i	−0.938433	−	0.345462i	$-0.887722\pi$
$163$	−0.271334	−	9.49791i	−0.0212525	−	0.743934i	0.917180	−	0.398472i	$-0.130459\pi$
$164$	−41.8043	+	12.2749i	−3.26437	+	0.958506i
$165$	−8.11894	+	0.652171i	−0.632059	+	0.0507715i
$166$	−15.9153	−	4.67315i	−1.23527	−	0.362707i
$167$	−0.874248	+	3.32598i	−0.0676513	+	0.257372i	−0.992373	−	0.123272i	$-0.960661\pi$
$167$	−0.874248	+	3.32598i	−0.0676513	+	0.257372i	0.924722	+	0.380644i	$0.124298\pi$
$168$	0.181380	−	0.895148i	0.0139938	−	0.0690621i
$169$	−12.2859	−	23.2844i	−0.945072	−	1.79111i
$170$	−0.531934	+	18.6201i	−0.0407974	+	1.42810i
$171$	−0.997418	−	3.79457i	−0.0762744	−	0.290178i
$172$	−5.40781	+	0.309230i	−0.412342	+	0.0235786i
$173$	9.54083	−	9.81728i	0.725376	−	0.746394i	−0.249686	−	0.968327i	$-0.580327\pi$
$173$	9.54083	−	9.81728i	0.725376	−	0.746394i	0.975062	+	0.221933i	$0.0712366\pi$
$174$	12.7597	−	6.27354i	0.967313	−	0.475596i
$175$	0.0186776	−	0.0408983i	0.00141190	−	0.00309162i
$176$	−29.5322	−	25.8768i	−2.22607	−	1.95054i
$177$	4.87370	+	10.6719i	0.366329	+	0.802150i
$178$	12.4022	+	10.1412i	0.929581	+	0.760115i
$179$	−3.31938	+	6.29093i	−0.248102	+	0.470206i	−0.976664	−	0.214774i	$-0.931098\pi$
$179$	−3.31938	+	6.29093i	−0.248102	+	0.470206i	0.728561	+	0.684981i	$0.240189\pi$
$180$	13.4700	+	7.60687i	1.00400	+	0.566983i
$181$	4.66940	−	0.535763i	0.347074	−	0.0398230i	0.0612979	−	0.998120i	$-0.480476\pi$
$181$	4.66940	−	0.535763i	0.347074	−	0.0398230i	0.285776	+	0.958297i	$0.407749\pi$
$182$	−0.746590	+	0.0856632i	−0.0553409	+	0.00634978i
$183$	−0.710373	−	0.401166i	−0.0525123	−	0.0296550i
$184$	−29.1421	+	55.2304i	−2.14838	+	4.07164i
$185$	4.93597	+	4.03612i	0.362899	+	0.296741i
$186$	−27.9753	−	61.2575i	−2.05125	−	4.49162i
$187$	−21.1384	+	9.51280i	−1.54579	+	0.695645i
$188$	−15.0640	+	32.9856i	−1.09866	+	2.40572i
$189$	−0.00308602	+	0.00151729i	−0.000224475	+	0.000110367i
$190$	2.40433	−	2.47400i	0.174429	−	0.179483i
$191$	4.50408	−	0.257553i	0.325904	−	0.0186359i	0.106629	−	0.994299i	$-0.465994\pi$
$191$	4.50408	−	0.257553i	0.325904	−	0.0186359i	0.219275	+	0.975663i	$0.429631\pi$
$192$	10.1941	+	38.7822i	0.735693	+	2.79887i
$193$	0.513543	−	17.9763i	0.0369656	−	1.29397i	−0.743487	−	0.668750i	$-0.766830\pi$
$193$	0.513543	−	17.9763i	0.0369656	−	1.29397i	0.780453	−	0.625215i	$-0.214989\pi$
$194$	6.50502	+	12.3284i	0.467033	+	0.885126i
$195$	3.05847	−	15.0941i	0.219021	−	1.08091i
$196$	9.07925	−	34.5410i	0.648518	−	2.46722i
$197$	−12.3450	−	3.62482i	−0.879545	−	0.258258i	−0.189375	−	0.981905i	$-0.560646\pi$
$197$	−12.3450	−	3.62482i	−0.879545	−	0.258258i	−0.690170	+	0.723647i	$0.742464\pi$
$198$	−1.67741	+	26.7416i	−0.119209	+	1.90044i
$199$	−12.3109	+	3.61482i	−0.872700	+	0.256248i	−0.687263	−	0.726408i	$-0.741188\pi$
$199$	−12.3109	+	3.61482i	−0.872700	+	0.256248i	−0.185437	+	0.982656i	$0.559370\pi$
$200$	0.236206	+	8.26828i	0.0167023	+	0.584656i
$201$	−7.39780	+	4.17773i	−0.521800	+	0.294674i
$202$	8.20653	−	5.96239i	0.577409	−	0.419512i
$203$	−0.0899658	+	0.0380198i	−0.00631436	+	0.00266847i
$204$	86.3147	+	14.9373i	6.04324	+	1.04582i
$205$	−0.730560	+	8.50576i	−0.0510246	+	0.594068i
$206$	2.52565	+	29.4056i	0.175970	+	2.04878i
$207$	22.5486	−	3.90219i	1.56724	−	0.271221i
$208$	62.4575	−	40.1390i	4.33065	−	2.78314i
$209$	4.07549	+	1.34914i	0.281907	+	0.0933222i
$210$	−0.247573	−	0.159106i	−0.0170842	−	0.0109793i
$211$	8.90115	+	3.76166i	0.612780	+	0.258963i	0.673495	−	0.739192i	$-0.264792\pi$
$211$	8.90115	+	3.76166i	0.612780	+	0.258963i	−0.0607144	+	0.998155i	$0.519338\pi$
$212$	−15.0764	+	3.50586i	−1.03545	+	0.240783i
$213$	3.68304	−	9.45982i	0.252358	−	0.648176i
$214$	−24.8559	−	41.2189i	−1.69912	−	2.81767i
$215$	−0.327976	+	1.00941i	−0.0223678	+	0.0688410i
$216$	0.386328	−	0.500999i	0.0262863	−	0.0340887i
$217$	0.167831	+	0.431071i	0.0113931	+	0.0292630i
$218$	−12.7325	−	18.6207i	−0.862354	−	1.26115i
$219$	−0.360347	+	2.50627i	−0.0243500	+	0.169358i
$220$	−15.0137	+	7.81621i	−1.01223	+	0.526969i
$221$	−6.23760	−	43.3835i	−0.419587	−	2.91829i
$222$	30.7470	−	28.2194i	2.06361	−	1.89396i
$223$	−11.2151	−	0.641305i	−0.751022	−	0.0429450i	−0.322614	−	0.946531i	$-0.604562\pi$
$223$	−11.2151	−	0.641305i	−0.751022	−	0.0429450i	−0.428408	+	0.903586i	$0.640925\pi$
$224$	−0.134026	−	0.661442i	−0.00895496	−	0.0441945i
$225$	2.34653	−	1.91875i	0.156436	−	0.127917i
$226$	−4.90417	−	2.41122i	−0.326221	−	0.160392i
$227$	15.5009	−	5.53070i	1.02883	−	0.367085i	0.232916	−	0.972497i	$-0.425173\pi$
$227$	15.5009	−	5.53070i	1.02883	−	0.367085i	0.795913	+	0.605411i	$0.206991\pi$
$228$	−9.90660	−	12.8471i	−0.656081	−	0.850820i
$229$	13.4197	−	22.2541i	0.886799	−	1.47059i	0.00445290	−	0.999990i	$-0.498583\pi$
$229$	13.4197	−	22.2541i	0.886799	−	1.47059i	0.882346	−	0.470601i	$-0.155963\pi$
$230$	13.1767	+	15.2067i	0.868847	+	1.00270i
$231$	0.0437548	−	0.363592i	0.00287885	−	0.0239226i
$232$	11.7669	−	13.5797i	0.772532	−	0.891550i
$233$	−1.00449	−	3.09151i	−0.0658064	−	0.202531i	0.912747	−	0.408526i	$-0.133957\pi$
$233$	−1.00449	−	3.09151i	−0.0658064	−	0.202531i	−0.978553	+	0.205995i	$0.933957\pi$
$234$	−47.7164	−	17.0252i	−3.11932	−	1.11297i
$235$	4.95201	+	5.09550i	0.323034	+	0.332394i
$236$	17.9623	+	16.4856i	1.16925	+	1.07312i
$237$	−19.3076	+	28.2365i	−1.25416	+	1.83416i
$238$	−0.815762	−	0.189697i	−0.0528780	−	0.0122963i
$239$	15.8894	+	11.5444i	1.02780	+	0.746742i	0.967868	−	0.251460i	$-0.0809106\pi$
$239$	15.8894	+	11.5444i	1.02780	+	0.746742i	0.0599350	+	0.998202i	$0.480911\pi$
$240$	28.8850	+	3.31424i	1.86452	+	0.213933i
$241$	−10.8083			−0.696226			−0.348113	−	0.937453i	$-0.613177\pi$
$241$	−10.8083			−0.696226			−0.348113	+	0.937453i	$0.613177\pi$
$242$	−23.5266	−	17.4935i	−1.51235	−	1.12453i
$243$	22.1002			1.41773
$244$	−1.68432	−	0.193258i	−0.107828	−	0.0123721i
$245$	−5.66148	−	4.11331i	−0.361699	−	0.262790i
$246$	54.4265	+	12.6563i	3.47011	+	0.806939i
$247$	−4.58173	+	6.70056i	−0.291528	+	0.426347i
$248$	−62.6994	−	57.5450i	−3.98142	−	3.65411i
$249$	10.6520	+	10.9606i	0.675041	+	0.694600i
$250$	2.51024	+	0.895654i	0.158762	+	0.0566461i
$251$	5.29366	+	16.2922i	0.334133	+	1.02836i	0.967148	+	0.254216i	$0.0818174\pi$
$251$	5.29366	+	16.2922i	0.334133	+	1.02836i	−0.633014	+	0.774140i	$0.718183\pi$
$252$	−0.455476	+	0.525647i	−0.0286923	+	0.0331127i
$253$	−9.87422	+	23.0098i	−0.620787	+	1.44662i
$254$	15.2203	+	17.5652i	0.955008	+	1.10214i
$255$	8.86352	−	14.6985i	0.555055	−	0.920456i
$256$	2.02709	+	2.62878i	0.126693	+	0.164299i
$257$	12.3708	−	4.41388i	0.771667	−	0.275330i	0.0792762	−	0.996853i	$-0.474739\pi$
$257$	12.3708	−	4.41388i	0.771667	−	0.275330i	0.692391	+	0.721522i	$0.256557\pi$
$258$	6.23422	+	3.06516i	0.388126	+	0.190829i
$259$	−0.221928	+	0.181470i	−0.0137899	+	0.0112760i
$260$	−6.35585	−	31.3674i	−0.394173	−	1.94532i
$261$	−6.57381	−	0.375904i	−0.406909	−	0.0232679i
$262$	0.156114	−	0.143281i	0.00964478	−	0.00885190i
$263$	0.0420158	+	0.292227i	0.00259081	+	0.0180195i	0.991076	−	0.133299i	$-0.0425571\pi$
$263$	0.0420158	+	0.292227i	0.00259081	+	0.0180195i	−0.988485	+	0.151319i	$0.951648\pi$
$264$	22.2899	+	63.5794i	1.37185	+	3.91304i
$265$	−0.431631	+	3.00206i	−0.0265149	+	0.184415i
$266$	0.0875509	+	0.128039i	0.00536809	+	0.00785058i
$267$	−5.35570	−	13.7560i	−0.327764	−	0.841854i
$268$	−10.7813	+	13.9815i	−0.658574	+	0.854054i
$269$	−5.11093	+	15.7298i	−0.311619	+	0.959064i	0.665505	+	0.746393i	$0.268216\pi$
$269$	−5.11093	+	15.7298i	−0.311619	+	0.959064i	−0.977124	+	0.212671i	$0.931784\pi$
$270$	−0.105267	−	0.174567i	−0.00640638	−	0.0106238i
$271$	−11.1586	+	28.6607i	−0.677838	+	1.74101i	−0.00637077	+	0.999980i	$0.502028\pi$
$271$	−11.1586	+	28.6607i	−0.677838	+	1.74101i	−0.671468	+	0.741034i	$0.734336\pi$
$272$	80.5933	−	18.7412i	4.88668	−	1.13635i
$273$	0.637827	+	0.269548i	0.0386030	+	0.0163138i
$274$	3.90930	+	2.51235i	0.236169	+	0.151777i
$275$	0.359857	+	3.29704i	0.0217002	+	0.198819i
$276$	79.6009	−	51.1564i	4.79141	−	3.07925i
$277$	−30.9504	+	5.35617i	−1.85963	+	0.321821i	−0.986255	−	0.165233i	$-0.947163\pi$
$277$	−30.9504	+	5.35617i	−1.85963	+	0.321821i	−0.873372	+	0.487054i	$0.838072\pi$
$278$	−1.36604	−	15.9045i	−0.0819298	−	0.953891i
$279$	−2.66876	+	31.0718i	−0.159775	+	1.86022i
$280$	−0.366458	−	0.0634181i	−0.0219001	−	0.00378995i
$281$	5.11007	−	2.15953i	0.304841	−	0.128827i	−0.231483	−	0.972839i	$-0.574358\pi$
$281$	5.11007	−	2.15953i	0.304841	−	0.128827i	0.536324	+	0.844012i	$0.319812\pi$
$282$	37.6255	−	27.3365i	2.24057	−	1.62787i
$283$	15.5448	−	8.77858i	0.924045	−	0.521832i	0.0452204	−	0.998977i	$-0.485601\pi$
$283$	15.5448	−	8.77858i	0.924045	−	0.521832i	0.878825	+	0.477145i	$0.158328\pi$
$284$	−0.602419	−	21.0874i	−0.0357470	−	1.25131i
$285$	−3.05004	+	0.895572i	−0.180669	+	0.0530491i
$286$	44.0849	−	33.6078i	2.60679	−	1.98727i
$287$	−0.368291	−	0.108140i	−0.0217395	−	0.00638330i
$288$	11.5665	−	44.0036i	0.681564	−	2.59294i
$289$	6.32466	−	31.2134i	0.372039	−	1.83608i
$290$	−2.70187	−	5.12061i	−0.158659	−	0.300692i
$291$	0.366777	−	12.8389i	0.0215009	−	0.752628i
$292$	1.33767	+	5.08902i	0.0782811	+	0.297812i
$293$	−16.8395	+	0.962915i	−0.983772	+	0.0562541i	−0.541565	−	0.840659i	$-0.682168\pi$
$293$	−16.8395	+	0.962915i	−0.983772	+	0.0562541i	−0.442207	+	0.896913i	$0.645804\pi$
$294$	−31.9230	+	32.8480i	−1.86179	+	1.91573i
$295$	4.28708	−	2.10782i	0.249604	−	0.122722i
$296$	21.9092	−	47.9744i	1.27345	−	2.78846i
$297$	0.138321	−	0.212640i	0.00802622	−	0.0123386i
$298$	11.4887	+	25.1567i	0.665520	+	1.45729i
$299$	−36.6511	−	29.9694i	−2.11959	−	1.73318i
$300$	5.84894	−	11.0850i	0.337689	−	0.639992i
$301$	−0.0415520	−	0.0234655i	−0.00239502	−	0.00135253i
$302$	30.1888	−	3.46384i	1.73717	−	0.199322i
$303$	−9.28591	+	1.06546i	−0.533462	+	0.0612090i
$304$	−13.3434	−	7.53538i	−0.765298	−	0.432184i
$305$	−0.155025	+	0.293805i	−0.00887672	+	0.0168232i
$306$	−43.7106	−	35.7419i	−2.49877	−	2.04323i
$307$	9.20220	+	20.1500i	0.525197	+	1.15002i	0.967434	+	0.253123i	$0.0814578\pi$
$307$	9.20220	+	20.1500i	0.525197	+	1.15002i	−0.442237	+	0.896898i	$0.645815\pi$
$308$	−0.210372	−	0.731384i	−0.0119870	−	0.0416745i
$309$	11.2972	−	24.7374i	0.642676	−	1.40726i
$310$	−24.6081	+	12.0990i	−1.39765	+	0.687177i
$311$	−21.1732	+	21.7867i	−1.20062	+	1.23541i	−0.236003	+	0.971752i	$0.575837\pi$
$311$	−21.1732	+	21.7867i	−1.20062	+	1.23541i	−0.964617	+	0.263656i	$0.915072\pi$
$312$	−127.183	+	7.27258i	−7.20031	+	0.411729i
$313$	5.64877	+	21.4902i	0.319288	+	1.21470i	0.912307	+	0.409508i	$0.134299\pi$
$313$	5.64877	+	21.4902i	0.319288	+	1.21470i	−0.593019	+	0.805188i	$0.702064\pi$
$314$	0.471985	−	16.5216i	0.0266357	−	0.932369i
$315$	0.0635995	+	0.120534i	0.00358343	+	0.00679135i
$316$	−14.1168	+	69.6693i	−0.794134	+	3.91921i
$317$	−7.06435	+	26.8756i	−0.396773	+	1.50948i	0.406377	+	0.913706i	$0.366792\pi$
$317$	−7.06435	+	26.8756i	−0.396773	+	1.50948i	−0.803150	+	0.595777i	$0.796844\pi$
$318$	19.0476	+	5.59289i	1.06814	+	0.313633i
$319$	4.26695	−	5.80524i	0.238904	−	0.325031i
$320$	15.6669	−	4.60021i	0.875805	−	0.257160i
$321$	1.26651	+	44.3335i	0.0706894	+	2.47445i
$322$	−0.787752	+	0.444864i	−0.0438997	+	0.0247913i
$323$	−7.31886	+	5.31747i	−0.407232	+	0.295872i
$324$	41.8650	−	17.6923i	2.32583	−	0.982906i
$325$	−6.17927	−	1.06937i	−0.342764	−	0.0593177i
$326$	−2.16715	+	25.2317i	−0.120027	+	1.39745i
$327$	1.77870	+	20.7091i	0.0983625	+	1.14521i
$328$	69.5815	−	12.0416i	3.84199	−	0.664883i
$329$	−0.268754	+	0.172718i	−0.0148169	+	0.00952223i
$330$	21.6961	+	0.739791i	1.19433	+	0.0407241i
$331$	−15.6613	−	10.0649i	−0.860822	−	0.553217i	0.0341107	−	0.999418i	$-0.489140\pi$
$331$	−15.6613	−	10.0649i	−0.860822	−	0.553217i	−0.894933	+	0.446201i	$0.852776\pi$
$332$	29.2566	+	12.3639i	1.60567	+	0.678560i
$333$	−18.8245	+	4.37744i	−1.03157	+	0.239882i
$334$	3.32538	−	8.54117i	0.181957	−	0.467352i
$335$	1.78647	+	2.96252i	0.0976052	+	0.161860i
$336$	−0.403956	+	1.24325i	−0.0220376	+	0.0678248i
$337$	−11.3660	+	14.7397i	−0.619146	+	0.802923i	−0.992169	−	0.124899i	$-0.960139\pi$
$337$	−11.3660	+	14.7397i	−0.619146	+	0.802923i	0.373023	+	0.927822i	$0.378321\pi$
$338$	25.4574	+	65.3869i	1.38470	+	3.55658i
$339$	2.84226	+	4.15667i	0.154370	+	0.225759i
$340$	5.07625	−	35.3061i	0.275298	−	1.91474i
$341$	−26.9069	−	20.9864i	−1.45709	−	1.13648i
$342$	1.48819	+	10.3506i	0.0804719	+	0.559694i
$343$	0.463682	−	0.425563i	0.0250365	−	0.0229783i
$344$	8.76483	+	0.501191i	0.472568	+	0.0270224i
$345$	−3.68196	−	18.1712i	−0.198230	−	0.978304i
$346$	−28.2455	+	23.0962i	−1.51849	+	1.24166i
$347$	−4.79625	−	2.35816i	−0.257476	−	0.126593i	0.307919	−	0.951413i	$-0.400367\pi$
$347$	−4.79625	−	2.35816i	−0.257476	−	0.126593i	−0.565396	+	0.824820i	$0.691276\pi$
$348$	−25.6430	+	9.14940i	−1.37461	+	0.490459i
$349$	−9.21982	−	11.9565i	−0.493526	−	0.640015i	0.477602	−	0.878576i	$-0.341506\pi$
$349$	−9.21982	−	11.9565i	−0.493526	−	0.640015i	−0.971128	+	0.238561i	$0.923324\pi$
$350$	−0.0618815	+	0.102619i	−0.00330771	+	0.00548521i
$351$	0.314100	+	0.362490i	0.0167654	+	0.0193483i
$352$	33.4592	+	36.8630i	1.78338	+	1.96480i
$353$	−2.34114	+	2.70182i	−0.124606	+	0.143803i	−0.814625	−	0.579989i	$-0.803057\pi$
$353$	−2.34114	+	2.70182i	−0.124606	+	0.143803i	0.690018	+	0.723792i	$0.257602\pi$
$354$	−9.66264	−	29.7385i	−0.513563	−	1.58059i
$355$	−3.89323	−	1.38910i	−0.206631	−	0.0737258i
$356$	−21.3798	−	21.9993i	−1.13313	−	1.16596i
$357$	0.568561	+	0.521820i	0.0300914	+	0.0276177i
$358$	10.7006	−	15.6491i	0.565543	−	0.827080i
$359$	26.1519	+	6.08138i	1.38025	+	0.320963i	0.849956	−	0.526853i	$-0.176628\pi$
$359$	26.1519	+	6.08138i	1.38025	+	0.320963i	0.530291	+	0.847816i	$0.322083\pi$
$360$	−20.2841	−	14.7373i	−1.06907	−	0.776723i
$361$	−17.2116	−	1.97485i	−0.905876	−	0.103940i
$362$	−12.5267			−0.658391
$363$	10.9499	+	24.6955i	0.574721	+	1.29618i
$364$	1.43898			0.0754232
$365$	1.02431	+	0.117528i	0.0536148	+	0.00615172i
$366$	1.75910	+	1.27806i	0.0919494	+	0.0668051i
$367$	−0.382182	−	0.0888725i	−0.0199497	−	0.00463911i	0.216510	−	0.976280i	$-0.430533\pi$
$367$	−0.382182	−	0.0888725i	−0.0199497	−	0.00463911i	−0.236460	+	0.971641i	$0.575987\pi$
$368$	50.4491	−	73.7795i	2.62984	−	3.84602i
$369$	−19.0647	−	17.4975i	−0.992470	−	0.910881i
$370$	−11.8436	−	12.1867i	−0.615718	−	0.633559i
$371$	−0.128434	−	0.0458253i	−0.00666798	−	0.00237913i
$372$	39.8482	+	122.640i	2.06603	+	6.35860i
$373$	−3.71319	+	4.28524i	−0.192261	+	0.221882i	−0.843693	−	0.536826i	$-0.819623\pi$
$373$	−3.71319	+	4.28524i	−0.192261	+	0.221882i	0.651432	+	0.758707i	$0.274169\pi$
$374$	58.8619	−	18.7665i	3.04368	−	0.970393i
$375$	−1.60823	−	1.85600i	−0.0830488	−	0.0958434i
$376$	30.3504	−	50.3305i	1.56520	−	2.59560i
$377$	8.31870	+	10.7879i	0.428435	+	0.555604i
$378$	0.00863235	−	0.00308002i	0.000444000	−	0.000158419i
$379$	4.98724	+	2.45206i	0.256177	+	0.125954i	0.564792	−	0.825233i	$-0.308956\pi$
$379$	4.98724	+	2.45206i	0.256177	+	0.125954i	−0.308615	+	0.951187i	$0.599865\pi$
$380$	−5.11392	+	4.18164i	−0.262339	+	0.214513i
$381$	−4.25301	−	20.9894i	−0.217888	−	1.07532i
$382$	−12.0045	−	0.686441i	−0.614203	−	0.0351214i
$383$	−19.8084	+	18.1800i	−1.01216	+	0.928956i	−0.997481	−	0.0709363i	$-0.977401\pi$
$383$	−19.8084	+	18.1800i	−1.01216	+	0.928956i	−0.0146834	+	0.999892i	$0.504674\pi$
$384$	−4.71767	−	32.8121i	−0.240748	−	1.67444i
$385$	−0.148500	−	0.0135816i	−0.00756828	−	0.000692182i
$386$	−6.82128	+	47.4430i	−0.347194	+	2.41479i
$387$	−1.81588	−	2.65564i	−0.0923064	−	0.134994i
$388$	−9.68392	−	24.8729i	−0.491626	−	1.26273i
$389$	7.32976	−	9.50540i	0.371634	−	0.481943i	−0.568532	−	0.822661i	$-0.692488\pi$
$389$	7.32976	−	9.50540i	0.371634	−	0.481943i	0.940165	+	0.340718i	$0.110670\pi$
$390$	−12.6842	+	39.0381i	−0.642292	+	1.97677i
$391$	−27.2476	−	45.1850i	−1.37797	−	2.28510i
$392$	−21.0011	+	53.9408i	−1.06071	+	2.72442i
$393$	−0.190176	+	0.0442235i	−0.00959310	+	0.00223078i
$394$	31.5867	+	13.3486i	1.59131	+	0.672495i
$395$	11.7175	+	7.53039i	0.589572	+	0.378895i
$396$	9.02808	−	50.5060i	0.453678	−	2.53802i
$397$	5.14706	−	3.30782i	0.258324	−	0.166015i	−0.405069	−	0.914286i	$-0.632752\pi$
$397$	5.14706	−	3.30782i	0.258324	−	0.166015i	0.663392	+	0.748272i	$0.269116\pi$
$398$	33.6960	−	5.83133i	1.68903	−	0.292298i
$399$	−0.0122307	−	0.142399i	−0.000612299	−	0.00712887i
$400$	1.01312	−	11.7955i	0.0506558	−	0.589775i
$401$	4.96934	+	0.859978i	0.248157	+	0.0429452i	0.293243	−	0.956038i	$-0.405265\pi$
$401$	4.96934	+	0.859978i	0.248157	+	0.0429452i	−0.0450864	+	0.998983i	$0.514356\pi$
$402$	20.8577	−	8.81453i	1.04029	−	0.439629i
$403$	52.1987	−	37.9246i	2.60020	−	1.88916i
$404$	−16.9132	+	9.55134i	−0.841465	+	0.475197i
$405$	−0.254309	−	8.90197i	−0.0126367	−	0.442342i
$406$	0.249769	−	0.0733387i	0.0123958	−	0.00363974i
$407$	7.21635	−	19.8776i	0.357701	−	0.985295i
$408$	−136.225	−	39.9992i	−6.74413	−	1.98026i
$409$	1.42422	−	5.41828i	0.0704230	−	0.267917i	−0.922613	−	0.385726i	$-0.873951\pi$
$409$	1.42422	−	5.41828i	0.0704230	−	0.267917i	0.993036	+	0.117810i	$0.0375872\pi$
$410$	4.51861	−	22.3002i	0.223158	−	1.10133i
$411$	−1.99822	−	3.78704i	−0.0985647	−	0.186801i
$412$	1.61383	−	56.4914i	0.0795076	−	2.78313i
$413$	0.0546038	+	0.207735i	0.00268688	+	0.0102219i
$414$	−60.8914	+	3.48189i	−2.99265	+	0.171126i
$415$	4.33740	−	4.46308i	0.212915	−	0.219084i
$416$	−84.4734	+	41.5328i	−4.14165	+	2.03631i
$417$	−6.11030	+	13.3797i	−0.299223	+	0.655206i
$418$	−10.3815	−	4.81055i	−0.507774	−	0.235292i
$419$	10.9011	+	23.8701i	0.532555	+	1.16613i	0.964464	+	0.264215i	$0.0851128\pi$
$419$	10.9011	+	23.8701i	0.532555	+	1.16613i	−0.431909	+	0.901917i	$0.642160\pi$
$420$	0.436245	+	0.356716i	0.0212866	+	0.0174059i
$421$	12.8956	−	24.4399i	0.628494	−	1.19113i	−0.339607	−	0.940567i	$-0.610294\pi$
$421$	12.8956	−	24.4399i	0.628494	−	1.19113i	0.968101	−	0.250561i	$-0.0806151\pi$
$422$	−22.4262	−	12.6647i	−1.09169	−	0.616507i
$423$	−21.3971	+	2.45509i	−1.04036	+	0.119370i
$424$	24.9238	−	2.85974i	1.21041	−	0.138881i
$425$	−6.08575	−	3.43678i	−0.295202	−	0.166708i
$426$	−12.6263	+	23.9294i	−0.611744	+	1.15938i
$427$	−0.0115626	−	0.00945468i	−0.000559553	−	0.000457544i
$428$	38.2879	+	83.8388i	1.85072	+	4.05250i
$429$	−50.5984	+	6.98985i	−2.44291	+	0.337473i
$430$	1.17511	−	2.57314i	0.0566690	−	0.124088i
$431$	23.2283	−	11.4206i	1.11887	−	0.550110i	0.214440	−	0.976737i	$-0.431207\pi$
$431$	23.2283	−	11.4206i	1.11887	−	0.550110i	0.904428	+	0.426627i	$0.140298\pi$
$432$	−0.631072	+	0.649358i	−0.0303625	+	0.0312423i
$433$	−0.272760	+	0.0155970i	−0.0131080	+	0.000749542i	−0.0636416	−	0.997973i	$-0.520271\pi$
$433$	−0.272760	+	0.0155970i	−0.0131080	+	0.000749542i	0.0505336	+	0.998722i	$0.483908\pi$
$434$	−0.313430	−	1.19241i	−0.0150451	−	0.0572375i
$435$	−0.152341	+	5.33264i	−0.00730420	+	0.255680i
$436$	20.1574	+	38.2025i	0.965364	+	1.82957i
$437$	−1.94063	+	9.57739i	−0.0928330	+	0.458149i
$438$	1.71559	−	6.52680i	0.0819743	−	0.311863i
$439$	24.4136	+	7.16847i	1.16520	+	0.342133i	0.806450	−	0.591302i	$-0.201386\pi$
$439$	24.4136	+	7.16847i	1.16520	+	0.342133i	0.358747	+	0.933435i	$0.383204\pi$
$440$	25.6193	−	9.81186i	1.22135	−	0.467762i
$441$	20.3526	−	5.97608i	0.969174	−	0.284575i
$442$	3.33582	+	116.769i	0.158669	+	5.55413i
$443$	9.11143	−	5.14546i	0.432897	−	0.244468i	−0.259850	−	0.965649i	$-0.583673\pi$
$443$	9.11143	−	5.14546i	0.432897	−	0.244468i	0.692747	+	0.721181i	$0.256400\pi$
$444$	−64.6516	+	46.9722i	−3.06823	+	2.22920i
$445$	−5.53679	+	2.33987i	−0.262469	+	0.110920i
$446$	29.5014	+	5.10542i	1.39693	+	0.241749i
$447$	2.18071	−	25.3895i	0.103144	−	1.20088i
$448$	0.0628243	+	0.731450i	0.00296817	+	0.0345577i
$449$	2.32241	−	0.401910i	0.109601	−	0.0189673i	−0.115458	−	0.993312i	$-0.536833\pi$
$449$	2.32241	−	0.401910i	0.109601	−	0.0189673i	0.225059	+	0.974345i	$0.427743\pi$
$450$	−6.79627	+	4.36770i	−0.320379	+	0.205895i
$451$	27.4234	−	7.04661i	1.29132	−	0.331812i
$452$	8.80320	+	5.65747i	0.414068	+	0.266105i
$453$	−25.7909	−	10.8993i	−1.21176	−	0.512095i
$454$	−42.7246	+	9.93518i	−2.00517	+	0.466281i
$455$	0.102297	−	0.262747i	0.00479574	−	0.0123178i
$456$	13.5781	+	22.5168i	0.635854	+	1.05445i
$457$	7.64531	−	23.5299i	0.357633	−	1.10068i	−0.596835	−	0.802364i	$-0.703575\pi$
$457$	7.64531	−	23.5299i	0.357633	−	1.10068i	0.954467	−	0.298316i	$-0.0964248\pi$
$458$	−42.2948	+	54.8488i	−1.97630	+	2.56292i
$459$	0.193942	+	0.498136i	0.00905244	+	0.0232510i
$460$	−21.7476	−	31.8049i	−1.01399	−	1.48291i
$461$	−3.47774	+	24.1882i	−0.161974	+	1.12656i	0.732931	+	0.680302i	$0.238152\pi$
$461$	−3.47774	+	24.1882i	−0.161974	+	1.12656i	−0.894906	+	0.446255i	$0.852758\pi$
$462$	−0.226322	+	0.949451i	−0.0105294	+	0.0441724i
$463$	−0.0449752	−	0.312809i	−0.00209017	−	0.0145375i	0.988750	−	0.149580i	$-0.0477921\pi$
$463$	−0.0449752	−	0.312809i	−0.00209017	−	0.0145375i	−0.990840	+	0.135042i	$0.956883\pi$
$464$	−18.9473	+	17.3896i	−0.879605	+	0.807294i
$465$	25.2259	+	1.44247i	1.16983	+	0.0668930i
$466$	1.72052	+	8.49109i	0.0797014	+	0.393342i
$467$	−29.5570	+	24.1686i	−1.36773	+	1.11839i	−0.387210	+	0.921991i	$0.626561\pi$
$467$	−29.5570	+	24.1686i	−1.36773	+	1.11839i	−0.980524	+	0.196399i	$0.937075\pi$
$468$	87.0578	+	42.8034i	4.02425	+	1.97859i
$469$	−0.146497	+	0.0522702i	−0.00676462	+	0.00241361i
$470$	−11.5642	−	14.9967i	−0.533417	−	0.691747i
$471$	−7.86461	+	13.0420i	−0.362382	+	0.600943i
$472$	−25.8772	−	29.8639i	−1.19110	−	1.37460i
$473$	3.51918	−	0.0810791i	0.161812	−	0.00372802i
$474$	59.7028	−	68.9007i	2.74224	−	3.16471i
$475$	0.399987	+	1.23103i	0.0183527	+	0.0564837i
$476$	1.51047	+	0.538934i	0.0692322	+	0.0247020i
$477$	−6.40712	−	6.59277i	−0.293362	−	0.301862i
$478$	−38.5659	−	35.3954i	−1.76396	−	1.61895i
$479$	3.38460	−	4.94983i	0.154647	−	0.226163i	−0.740366	−	0.672204i	$-0.765348\pi$
$479$	3.38460	−	4.94983i	0.154647	−	0.226163i	0.895013	+	0.446040i	$0.147166\pi$
$480$	−35.9049	−	8.34933i	−1.63883	−	0.381093i
$481$	32.3485	+	23.5026i	1.47497	+	1.07163i
$482$	28.6191	+	3.28373i	1.30356	+	0.149570i
$483$	0.833606			0.0379304
$484$	40.9378	+	38.4143i	1.86081	+	1.74611i
$485$	−5.23003			−0.237484
$486$	−58.5184	−	6.71436i	−2.65445	−	0.304570i
$487$	−3.44645	−	2.50400i	−0.156174	−	0.113467i	0.506954	−	0.861973i	$-0.330771\pi$
$487$	−3.44645	−	2.50400i	−0.156174	−	0.113467i	−0.663128	+	0.748506i	$0.730771\pi$
$488$	2.67640	+	0.622371i	0.121155	+	0.0281734i
$489$	13.1712	−	19.2623i	0.595622	−	0.871070i
$490$	13.7412	+	12.6116i	0.620764	+	0.569732i
$491$	−0.236506	−	0.243359i	−0.0106733	−	0.0109826i	0.711774	−	0.702408i	$-0.247892\pi$
$491$	−0.236506	−	0.243359i	−0.0106733	−	0.0109826i	−0.722447	+	0.691426i	$0.756983\pi$
$492$	−100.776	−	35.9569i	−4.54335	−	1.62106i
$493$	4.69163	+	14.4394i	0.211301	+	0.650316i
$494$	14.1676	−	16.3502i	0.637428	−	0.735632i
$495$	−8.58021	−	5.23891i	−0.385652	−	0.235472i
$496$	79.7659	+	92.0548i	3.58160	+	4.13338i
$497$	0.0959742	−	0.159155i	0.00430503	−	0.00713909i
$498$	−24.8750	−	32.2585i	−1.11468	−	1.44554i
$499$	−28.4243	+	10.1418i	−1.27245	+	0.454009i	−0.884011	−	0.467466i	$-0.845167\pi$
$499$	−28.4243	+	10.1418i	−1.27245	+	0.454009i	−0.388437	+	0.921475i	$0.626985\pi$
$500$	−4.57990	−	2.25178i	−0.204819	−	0.100703i
$501$	−6.53805	+	5.34613i	−0.292098	+	0.238848i
$502$	−9.06712	−	44.7480i	−0.404685	−	1.99720i
$503$	−4.18545	−	0.239333i	−0.186620	−	0.0106713i	−0.0364710	−	0.999335i	$-0.511612\pi$
$503$	−4.18545	−	0.239333i	−0.186620	−	0.0106713i	−0.150149	+	0.988663i	$0.547975\pi$
$504$	0.830527	−	0.762251i	0.0369946	−	0.0339533i
$505$	0.541645	+	3.76723i	0.0241029	+	0.167639i
$506$	33.1364	−	57.9272i	1.47309	−	2.57518i
$507$	9.20134	−	63.9967i	0.408646	−	2.84219i
$508$	−25.1205	−	36.7376i	−1.11454	−	1.62997i
$509$	10.5121	+	27.0002i	0.465942	+	1.19676i	0.947331	+	0.320255i	$0.103769\pi$
$509$	10.5121	+	27.0002i	0.465942	+	1.19676i	−0.481389	+	0.876507i	$0.659868\pi$
$510$	−27.9351	+	36.2269i	−1.23699	+	1.60415i
$511$	−0.0143250	+	0.0440877i	−0.000633699	+	0.00195032i
$512$	9.37212	+	15.5419i	0.414193	+	0.686862i
$513$	0.0359181	−	0.0922549i	0.00158582	−	0.00407315i
$514$	−34.0972	+	7.92897i	−1.50396	+	0.349732i
$515$	−10.2002	−	4.31062i	−0.449473	−	0.189949i
$516$	−11.1907	−	7.19183i	−0.492643	−	0.316603i
$517$	10.5145	−	21.0902i	0.462425	−	0.927548i
$518$	0.642770	−	0.413083i	0.0282417	−	0.0181498i
$519$	33.1272	−	5.73288i	1.45412	−	0.251646i
$520$	4.43899	+	51.6823i	0.194663	+	2.26642i
$521$	−2.45765	+	28.6139i	−0.107672	+	1.25360i	0.720631	+	0.693319i	$0.243852\pi$
$521$	−2.45765	+	28.6139i	−0.107672	+	1.25360i	−0.828303	+	0.560281i	$0.810693\pi$
$522$	17.2924	+	2.99257i	0.756868	+	0.130981i
$523$	−22.5495	+	9.52948i	−0.986019	+	0.416695i	−0.821829	−	0.569734i	$-0.807046\pi$
$523$	−22.5495	+	9.52948i	−0.986019	+	0.416695i	−0.164190	+	0.986429i	$0.552501\pi$
$524$	−0.328261	+	0.238495i	−0.0143401	+	0.0104187i
$525$	0.0961460	−	0.0542961i	0.00419616	−	0.00236968i
$526$	−0.0224697	−	0.786543i	−0.000979727	−	0.0342949i
$527$	68.9955	−	20.2589i	3.00549	−	0.882492i
$528$	−21.3217	−	94.0424i	−0.927906	−	4.09267i
$529$	−32.6186	−	9.57770i	−1.41820	−	0.416422i
$530$	2.05497	−	7.81793i	0.0892623	−	0.339589i
$531$	−2.87569	+	14.1921i	−0.124794	+	0.615883i
$532$	−0.138606	−	0.262687i	−0.00600932	−	0.0113889i
$533$	−1.52881	+	53.5152i	−0.0662200	+	2.31800i
$534$	10.0019	+	38.0513i	0.432826	+	1.64664i
$535$	18.0302	−	1.03100i	0.779513	−	0.0445742i
$536$	19.9433	−	20.5212i	0.861420	−	0.886380i
$537$	−15.6760	+	7.70737i	−0.676469	+	0.332597i
$538$	18.3120	−	40.0978i	0.789488	−	1.72874i
$539$	−6.66185	+	22.2330i	−0.286946	+	0.957645i
$540$	0.162153	+	0.355066i	0.00697796	+	0.0152796i
$541$	28.8371	+	23.5800i	1.23980	+	1.01378i	0.999067	+	0.0431915i	$0.0137526\pi$
$541$	28.8371	+	23.5800i	1.23980	+	1.01378i	0.240736	+	0.970591i	$0.422611\pi$
$542$	38.2542	−	72.4997i	1.64316	−	3.11413i
$543$	10.0506	+	5.67584i	0.431313	+	0.243574i
$544$	−104.225	+	11.9587i	−4.46861	+	0.512725i
$545$	8.40846	−	0.964781i	0.360179	−	0.0413267i
$546$	−1.60699	−	0.907510i	−0.0687729	−	0.0388378i
$547$	−0.684748	+	1.29774i	−0.0292777	+	0.0554875i	−0.898637	−	0.438694i	$-0.855441\pi$
$547$	−0.684748	+	1.29774i	−0.0292777	+	0.0554875i	0.869359	+	0.494181i	$0.164532\pi$
$548$	−6.88852	−	5.63271i	−0.294263	−	0.240618i
$549$	−0.418296	−	0.915940i	−0.0178524	−	0.0390914i
$550$	0.0488368	−	8.83948i	0.00208241	−	0.376917i
$551$	1.16806	−	2.55770i	0.0497610	−	0.108961i
$552$	−137.625	+	67.6658i	−5.85772	+	2.88005i
$553$	−0.436458	+	0.449105i	−0.0185601	+	0.0190979i
$554$	83.5798	−	4.77927i	3.55097	−	0.203052i
$555$	3.98069	+	15.1441i	0.168971	+	0.642832i
$556$	−0.872868	+	30.5544i	−0.0370179	+	1.29579i
$557$	−2.68823	−	5.09476i	−0.113904	−	0.215872i	0.820870	−	0.571115i	$-0.193489\pi$
$557$	−2.68823	−	5.09476i	−0.113904	−	0.215872i	−0.934774	+	0.355243i	$0.884398\pi$
$558$	16.5066	−	81.4634i	0.698781	−	3.44862i
$559$	−1.69205	+	6.43721i	−0.0715660	+	0.272265i
$560$	0.510733	+	0.149965i	0.0215824	+	0.00633716i
$561$	−55.7299	−	11.6132i	−2.35292	−	0.490311i
$562$	−14.1869	+	4.16565i	−0.598439	+	0.175717i
$563$	−0.162852	−	5.70058i	−0.00686341	−	0.240251i	−0.995780	−	0.0917763i	$-0.970746\pi$
$563$	−0.162852	−	5.70058i	−0.00686341	−	0.240251i	0.988916	−	0.148475i	$-0.0474363\pi$
$564$	−77.5442	+	43.7913i	−3.26520	+	1.84394i
$565$	1.65883	−	1.20521i	0.0697873	−	0.0507035i
$566$	−43.8278	+	18.5218i	−1.84222	+	0.778529i
$567$	0.394544	+	0.0682785i	0.0165693	+	0.00286743i
$568$	−2.92597	+	34.0664i	−0.122771	+	1.42940i
$569$	−0.692591	−	8.06369i	−0.0290349	−	0.338048i	−0.996407	−	0.0846892i	$-0.973010\pi$
$569$	−0.692591	−	8.06369i	−0.0290349	−	0.338048i	0.967372	−	0.253358i	$-0.0815352\pi$
$570$	8.34820	−	1.44471i	0.349667	−	0.0605123i
$571$	18.9860	−	12.2016i	0.794540	−	0.510620i	−0.0792902	−	0.996852i	$-0.525265\pi$
$571$	18.9860	−	12.2016i	0.794540	−	0.510620i	0.873830	+	0.486232i	$0.161629\pi$
$572$	−91.2012	+	54.3115i	−3.81331	+	2.27088i
$573$	9.32056	+	5.98996i	0.389372	+	0.250234i
$574$	0.942332	+	0.398233i	0.0393322	+	0.0166219i
$575$	−7.35335	+	1.70995i	−0.306656	+	0.0713098i
$576$	−17.9566	+	46.1211i	−0.748191	+	1.92171i
$577$	−12.5422	−	20.7989i	−0.522139	−	0.865869i	0.477782	−	0.878478i	$-0.341441\pi$
$577$	−12.5422	−	20.7989i	−0.522139	−	0.865869i	−0.999921	+	0.0126089i	$0.995986\pi$
$578$	−26.2300	+	80.7276i	−1.09102	+	3.35783i
$579$	26.9693	−	34.9744i	1.12080	−	1.45349i
$580$	4.02222	+	10.3310i	0.167014	+	0.428971i
$581$	0.157941	+	0.230982i	0.00655251	+	0.00958274i
$582$	−4.87182	+	33.8843i	−0.201943	+	1.40455i
$583$	9.86962	−	1.94314i	0.408758	−	0.0804767i
$584$	−1.21371	−	8.44151i	−0.0502235	−	0.349312i
$585$	14.0045	−	12.8532i	0.579014	−	0.531414i
$586$	44.8813	+	2.56640i	1.85403	+	0.106017i
$587$	−0.468005	−	2.30969i	−0.0193166	−	0.0953313i	0.969264	−	0.246021i	$-0.0791233\pi$
$587$	−0.468005	−	2.30969i	−0.0193166	−	0.0953313i	−0.988581	+	0.150690i	$0.951851\pi$
$588$	67.8990	−	55.5207i	2.80011	−	2.28964i
$589$	−11.9510	−	5.87593i	−0.492434	−	0.242113i
$590$	−11.9920	+	4.27875i	−0.493704	+	0.176153i
$591$	−19.2948	−	25.0219i	−0.793681	−	1.02926i
$592$	−38.9805	+	64.6420i	−1.60209	+	2.65677i
$593$	−3.85468	−	4.44854i	−0.158293	−	0.182680i	0.671063	−	0.741400i	$-0.265838\pi$
$593$	−3.85468	−	4.44854i	−0.158293	−	0.182680i	−0.829356	+	0.558720i	$0.811292\pi$
$594$	−0.430860	+	0.521019i	−0.0176784	+	0.0213777i
$595$	0.205784	−	0.237487i	0.00843631	−	0.00973602i
$596$	−16.3645	−	50.3648i	−0.670316	−	2.06302i
$597$	−29.6776	−	10.5889i	−1.21462	−	0.433377i
$598$	87.9422	+	90.4904i	3.59622	+	3.70043i
$599$	−12.8383	−	11.7829i	−0.524559	−	0.481436i	0.369597	−	0.929192i	$-0.379496\pi$
$599$	−12.8383	−	11.7829i	−0.524559	−	0.481436i	−0.894155	+	0.447757i	$0.852223\pi$
$600$	−11.4660	+	16.7685i	−0.468098	+	0.684571i
$601$	−43.4730	−	10.1092i	−1.77330	−	0.412364i	−0.792897	−	0.609356i	$-0.791428\pi$
$601$	−43.4730	−	10.1092i	−1.77330	−	0.412364i	−0.980405	+	0.196993i	$0.936882\pi$
$602$	0.102895	+	0.0747577i	0.00419369	+	0.00304690i
$603$	−10.4178	−	1.19534i	−0.424247	−	0.0486778i
$604$	−58.1861			−2.36756
$605$	9.92441	−	4.74406i	0.403485	−	0.192874i
$606$	24.9116			1.01196
$607$	−28.6160	−	3.28338i	−1.16149	−	0.133268i	−0.488257	−	0.872700i	$-0.662367\pi$
$607$	−28.6160	−	3.28338i	−1.16149	−	0.133268i	−0.673232	+	0.739432i	$0.735094\pi$
$608$	15.7185	+	11.4202i	0.637469	+	0.463148i
$609$	−0.233627	−	0.0543277i	−0.00946705	−	0.00220147i
$610$	0.499749	−	0.730860i	0.0202343	−	0.0295917i
$611$	32.8283	+	30.1295i	1.32809	+	1.21891i
$612$	75.3517	+	77.5351i	3.04591	+	3.13417i
$613$	−2.85593	−	1.01900i	−0.115350	−	0.0411568i	0.277744	−	0.960655i	$-0.410413\pi$
$613$	−2.85593	−	1.01900i	−0.115350	−	0.0411568i	−0.393094	+	0.919498i	$0.628595\pi$
$614$	−18.2444	−	56.1504i	−0.736283	−	2.26605i
$615$	−13.7296	+	15.8448i	−0.553631	+	0.638924i
$616$	0.203616	+	1.21655i	0.00820392	+	0.0490161i
$617$	−8.37159	−	9.66133i	−0.337028	−	0.388951i	0.561785	−	0.827283i	$-0.310115\pi$
$617$	−8.37159	−	9.66133i	−0.337028	−	0.388951i	−0.898813	+	0.438333i	$0.855569\pi$
$618$	−37.4291	+	62.0693i	−1.50562	+	2.49679i
$619$	12.6699	+	16.4307i	0.509247	+	0.660404i	0.974399	−	0.224827i	$-0.0721818\pi$
$619$	12.6699	+	16.4307i	0.509247	+	0.660404i	−0.465151	+	0.885231i	$0.654000\pi$
$620$	49.4545	−	17.6453i	1.98614	−	0.708654i
$621$	0.518179	+	0.254771i	0.0207938	+	0.0102236i
$622$	62.6829	−	51.2556i	2.51336	−	2.05516i
$623$	−0.0536708	−	0.264876i	−0.00215028	−	0.0106120i
$624$	182.032	+	10.4090i	7.28712	+	0.416693i
$625$	−0.736741	+	0.676175i	−0.0294696	+	0.0270470i
$626$	−8.42819	−	58.6194i	−0.336858	−	2.34290i
$627$	6.14974	+	8.56349i	0.245597	+	0.341993i
$628$	−4.50416	+	31.3271i	−0.179735	+	1.25009i
$629$	25.1533	+	36.7855i	1.00293	+	1.46673i
$630$	−0.131783	−	0.338482i	−0.00525037	−	0.0134855i
$631$	26.8983	−	34.8824i	1.07081	−	1.38864i	0.154580	−	0.987980i	$-0.450598\pi$
$631$	26.8983	−	34.8824i	1.07081	−	1.38864i	0.916225	−	0.400664i	$-0.131221\pi$
$632$	35.6027	−	109.574i	1.41620	−	4.35862i
$633$	12.2550	+	20.3226i	0.487091	+	0.807750i
$634$	26.8707	−	69.0168i	1.06717	−	2.74101i
$635$	−8.49381	+	1.97515i	−0.337066	+	0.0783814i
$636$	−35.0147	−	14.7973i	−1.38842	−	0.586752i
$637$	−36.9186	−	23.7261i	−1.46277	−	0.940063i
$638$	−13.0621	+	14.0752i	−0.517132	+	0.557241i
$639$	10.5406	−	6.77401i	0.416978	−	0.267976i
$640$	−13.3006	+	2.30175i	−0.525751	+	0.0909848i
$641$	3.98307	+	46.3740i	0.157322	+	1.83166i	0.470999	+	0.882134i	$0.343894\pi$
$641$	3.98307	+	46.3740i	0.157322	+	1.83166i	−0.313677	+	0.949530i	$0.601561\pi$
$642$	10.1156	−	117.774i	0.399232	−	4.64817i
$643$	−16.5444	−	2.86313i	−0.652449	−	0.112911i	−0.165319	−	0.986240i	$-0.552865\pi$
$643$	−16.5444	−	2.86313i	−0.652449	−	0.112911i	−0.487130	+	0.873329i	$0.661956\pi$
$644$	1.59569	−	0.674345i	0.0628791	−	0.0265729i
$645$	−2.10871	+	1.53207i	−0.0830305	+	0.0603252i
$646$	20.9949	−	11.8564i	0.826035	−	0.466483i
$647$	−0.280156	−	9.80675i	−0.0110141	−	0.385543i	−0.986335	−	0.164751i	$-0.947318\pi$
$647$	−0.280156	−	9.80675i	−0.0110141	−	0.385543i	0.975321	−	0.220791i	$-0.0708640\pi$
$648$	−70.6801	+	20.7536i	−2.77658	+	0.815276i
$649$	−11.3013	−	11.1051i	−0.443613	−	0.435913i
$650$	16.0370	+	4.70890i	0.629024	+	0.184698i
$651$	−0.288804	+	1.09872i	−0.0113191	+	0.0430624i
$652$	9.63017	−	47.5268i	0.377147	−	1.86129i
$653$	4.16818	+	7.89958i	0.163113	+	0.309134i	0.952379	−	0.304918i	$-0.0986292\pi$
$653$	4.16818	+	7.89958i	0.163113	+	0.309134i	−0.789265	+	0.614053i	$0.789538\pi$
$654$	1.58195	−	55.3753i	0.0618590	−	2.16535i
$655$	0.0202115	+	0.0768924i	0.000789728	+	0.00300444i
$656$	−100.905	+	5.76995i	−3.93968	+	0.225279i
$657$	−2.17807	+	2.24118i	−0.0849745	+	0.0874367i
$658$	0.764100	−	0.375683i	0.0297877	−	0.0146456i
$659$	7.24592	−	15.8664i	0.282261	−	0.618065i	−0.714398	−	0.699739i	$-0.753299\pi$
$659$	7.24592	−	15.8664i	0.282261	−	0.618065i	0.996659	+	0.0816742i	$0.0260267\pi$
$660$	−41.1123	−	6.14307i	−1.60029	−	0.239119i
$661$	11.5541	+	25.2999i	0.449402	+	0.984054i	0.989776	+	0.142629i	$0.0455555\pi$
$661$	11.5541	+	25.2999i	0.449402	+	0.984054i	−0.540374	+	0.841425i	$0.681717\pi$
$662$	38.4112	+	31.4087i	1.49289	+	1.22073i
$663$	50.2314	−	95.1990i	1.95082	−	3.69722i
$664$	−44.8249	−	25.3138i	−1.73954	−	0.982366i
$665$	−0.0578180	+	0.00663400i	−0.00224209	+	0.000257256i
$666$	51.1747	−	5.87175i	1.98298	−	0.227526i
$667$	14.2801	+	8.06436i	0.552929	+	0.312253i
$668$	−8.19041	+	15.5225i	−0.316896	+	0.600585i
$669$	−21.3567	−	17.4633i	−0.825698	−	0.675170i
$670$	−3.83028	−	8.38714i	−0.147977	−	0.324023i
$671$	1.08967	+	0.162821i	0.0420664	+	0.00628563i
$672$	0.688512	−	1.50763i	0.0265599	−	0.0581581i
$673$	33.1833	−	16.3151i	1.27912	−	0.628902i	0.330050	−	0.943963i	$-0.392934\pi$
$673$	33.1833	−	16.3151i	1.27912	−	0.628902i	0.949071	+	0.315062i	$0.102025\pi$
$674$	34.5739	−	35.5757i	1.33174	−	1.37032i
$675$	0.0763597	−	0.00436641i	0.00293909	−	0.000168063i
$676$	−34.1569	−	129.946i	−1.31373	−	4.99793i
$677$	0.121495	−	4.25289i	0.00466945	−	0.163452i	−0.993911	−	0.110186i	$-0.964855\pi$
$677$	0.121495	−	4.25289i	0.00466945	−	0.163452i	0.998580	−	0.0532655i	$-0.0169630\pi$
$678$	−6.26307	−	11.8698i	−0.240532	−	0.455859i
$679$	0.0466985	−	0.230466i	0.00179212	−	0.00884447i
$680$	−14.6968	+	55.9123i	−0.563595	+	2.14414i
$681$	38.7810	+	11.3871i	1.48609	+	0.436355i
$682$	64.8700	+	63.7440i	2.48400	+	2.44088i
$683$	44.9065	−	13.1857i	1.71830	−	0.504538i	0.733715	−	0.679457i	$-0.237785\pi$
$683$	44.9065	−	13.1857i	1.71830	−	0.504538i	0.984583	+	0.174919i	$0.0559663\pi$
$684$	−0.571793	−	20.0154i	−0.0218630	−	0.765306i
$685$	−1.51819	+	0.857362i	−0.0580071	+	0.0327581i
$686$	−1.35706	+	0.985963i	−0.0518129	+	0.0376443i
$687$	58.7864	−	24.8433i	2.24284	−	0.947832i
$688$	−12.3813	−	2.14266i	−0.472031	−	0.0816881i
$689$	−1.62763	+	18.9501i	−0.0620076	+	0.721941i
$690$	4.22868	+	49.2336i	0.160983	+	1.87429i
$691$	34.6195	−	5.99115i	1.31699	−	0.227914i	0.531642	−	0.846969i	$-0.321575\pi$
$691$	34.6195	−	5.99115i	1.31699	−	0.227914i	0.785347	+	0.619055i	$0.212484\pi$
$692$	58.7746	−	37.7721i	2.23427	−	1.43588i
$693$	0.307469	−	0.331317i	0.0116798	−	0.0125857i
$694$	11.9834	+	7.70127i	0.454884	+	0.292336i
$695$	5.51694	+	2.33148i	0.209269	+	0.0884380i
$696$	42.9809	−	9.99479i	1.62919	−	0.378851i
$697$	−21.6475	+	55.6012i	−0.819958	+	2.10605i
$698$	20.7803	+	34.4603i	0.786548	+	1.30434i
$699$	2.46687	−	7.59224i	0.0933055	−	0.287165i
$700$	0.140120	−	0.181711i	0.00529605	−	0.00686804i
$701$	−14.6422	−	37.6082i	−0.553029	−	1.42044i	−0.879802	−	0.475340i	$-0.842325\pi$
$701$	−14.6422	−	37.6082i	−0.553029	−	1.42044i	0.326774	−	0.945103i	$-0.394038\pi$
$702$	−0.721565	−	1.05526i	−0.0272337	−	0.0398281i
$703$	1.17453	−	8.16906i	0.0442984	−	0.308102i
$704$	−31.5889	−	43.9873i	−1.19055	−	1.65784i
$705$	2.48335	+	17.2721i	0.0935284	+	0.650504i
$706$	7.01989	−	6.44280i	0.264197	−	0.242478i
$707$	−0.170842	−	0.00976912i	−0.00642519	−	0.000367406i
$708$	11.8906	+	58.6826i	0.446877	+	2.20543i
$709$	−18.6126	+	15.2195i	−0.699013	+	0.571580i	−0.914333	−	0.404964i	$-0.867284\pi$
$709$	−18.6126	+	15.2195i	−0.699013	+	0.571580i	0.215320	+	0.976544i	$0.430921\pi$
$710$	9.88673	+	4.86098i	0.371042	+	0.182429i
$711$	−39.7644	+	14.1879i	−1.49128	+	0.532088i
$712$	30.3615	+	39.3735i	1.13785	+	1.47558i
$713$	40.1108	−	66.5163i	1.50216	−	2.49106i
$714$	−1.34694	−	1.55445i	−0.0504079	−	0.0581739i
$715$	3.43340	+	20.5136i	0.128402	+	0.767166i
$716$	−23.7722	+	27.4346i	−0.888408	+	1.02528i
$717$	14.9050	+	45.8730i	0.556639	+	1.71316i
$718$	−67.3994	−	24.0480i	−2.51532	−	0.897465i
$719$	−5.27337	−	5.42617i	−0.196664	−	0.202362i	0.611626	−	0.791147i	$-0.290516\pi$
$719$	−5.27337	−	5.42617i	−0.196664	−	0.202362i	−0.808290	+	0.588785i	$0.799607\pi$
$720$	26.4383	+	24.2649i	0.985297	+	0.904298i
$721$	0.281028	−	0.410990i	0.0104660	−	0.0153061i
$722$	44.9742	+	10.4583i	1.67377	+	0.389218i
$723$	−21.4742	−	15.6019i	−0.798633	−	0.580241i
$724$	23.8304	+	2.73428i	0.885649	+	0.101619i
$725$	2.17230			0.0806771
$726$	−21.4911	−	68.7173i	−0.797610	−	2.55034i
$727$	−31.6542			−1.17399			−0.586995	−	0.809591i	$-0.699689\pi$
$727$	−31.6542			−1.17399			−0.586995	+	0.809591i	$0.699689\pi$
$728$	−2.31706	−	0.265858i	−0.0858760	−	0.00985335i
$729$	22.2946	+	16.1980i	0.825726	+	0.599925i
$730$	−2.67653	−	0.622401i	−0.0990629	−	0.0230361i
$731$	−4.18700	+	6.12329i	−0.154862	+	0.226478i
$732$	−3.06747	−	2.81530i	−0.113377	−	0.104056i
$733$	18.6112	+	19.1504i	0.687419	+	0.707338i	0.967566	−	0.252620i	$-0.0812921\pi$
$733$	18.6112	+	19.1504i	0.687419	+	0.707338i	−0.280146	+	0.959957i	$0.590383\pi$
$734$	0.984967	+	0.351435i	0.0363558	+	0.0129717i
$735$	−5.31074	−	16.3448i	−0.195889	−	0.602886i
$736$	−74.2095	+	85.6423i	−2.73540	+	3.15682i
$737$	7.31202	−	8.84209i	0.269342	−	0.325702i
$738$	45.1650	+	52.1232i	1.66255	+	1.91868i
$739$	−11.4836	+	19.0434i	−0.422431	+	0.700524i	−0.992657	−	0.120964i	$-0.961401\pi$
$739$	−11.4836	+	19.0434i	−0.422431	+	0.700524i	0.570225	+	0.821488i	$0.306856\pi$
$740$	19.8707	+	25.7688i	0.730461	+	0.947279i
$741$	−18.7753	+	6.69903i	−0.689730	+	0.246095i
$742$	0.326155	+	0.160360i	0.0119735	+	0.00588699i
$743$	17.0168	−	13.9146i	0.624287	−	0.510477i	−0.267130	−	0.963661i	$-0.586075\pi$
$743$	17.0168	−	13.9146i	0.624287	−	0.510477i	0.891417	+	0.453183i	$0.149712\pi$
$744$	−41.5056	−	204.838i	−1.52167	−	7.50974i
$745$	−10.3596	−	0.592381i	−0.379545	−	0.0217032i
$746$	11.1340	−	10.2187i	0.407643	−	0.374132i
$747$	2.68468	+	18.6724i	0.0982273	+	0.683186i
$748$	−116.073	+	22.8526i	−4.24405	+	0.835572i
$749$	−0.115558	+	0.803722i	−0.00422239	+	0.0293674i
$750$	3.69451	+	5.40305i	0.134905	+	0.197292i
$751$	4.35409	+	11.1834i	0.158883	+	0.408087i	0.988692	−	0.149960i	$-0.0479145\pi$
$751$	4.35409	+	11.1834i	0.158883	+	0.408087i	−0.829809	+	0.558047i	$0.811551\pi$
$752$	−51.3678	+	66.6149i	−1.87319	+	2.42920i
$753$	−13.0004	+	40.0111i	−0.473760	+	1.45808i
$754$	−18.7493	−	31.0923i	−0.682810	−	1.13231i
$755$	−4.13643	+	10.6243i	−0.150540	+	0.386659i
$756$	−0.0170942	+	0.00397507i	−0.000621708	+	0.000144572i
$757$	−39.4049	−	16.6527i	−1.43220	−	0.605251i	−0.471254	−	0.881998i	$-0.656198\pi$
$757$	−39.4049	−	16.6527i	−1.43220	−	0.605251i	−0.960943	+	0.276746i	$0.910744\pi$
$758$	−12.4606	−	8.00794i	−0.452589	−	0.290861i
$759$	−52.8331	+	31.4628i	−1.91772	+	1.14203i
$760$	9.00705	−	5.78848i	0.326720	−	0.209970i
$761$	−54.1749	+	9.37533i	−1.96384	+	0.339855i	−0.967692	+	0.252137i	$0.918867\pi$
$761$	−54.1749	+	9.37533i	−1.96384	+	0.339855i	−0.996145	+	0.0877184i	$0.972042\pi$
$762$	4.88452	+	56.8694i	0.176947	+	2.06016i
$763$	−0.0325644	+	0.379141i	−0.00117891	+	0.0137258i
$764$	22.6870	+	3.92615i	0.820788	+	0.142043i
$765$	19.5140	−	8.24670i	0.705531	−	0.298160i
$766$	57.9736	−	42.1203i	2.09467	−	1.52187i
$767$	26.0863	−	14.7316i	0.941923	−	0.531929i
$768$	0.232799	+	8.14901i	0.00840039	+	0.294052i
$769$	31.3039	−	9.19165i	1.12885	−	0.331459i	0.336592	−	0.941650i	$-0.390726\pi$
$769$	31.3039	−	9.19165i	1.12885	−	0.331459i	0.792254	+	0.610191i	$0.208907\pi$
$770$	0.389083	+	0.0810789i	0.0140216	+	0.00292188i
$771$	30.9499	+	9.08771i	1.11463	+	0.327286i
$772$	23.3322	−	88.7649i	0.839744	−	3.19472i
$773$	2.28664	−	11.2850i	0.0822447	−	0.405894i	−0.917718	−	0.397233i	$-0.869970\pi$
$773$	2.28664	−	11.2850i	0.0822447	−	0.405894i	0.999962	−	0.00866068i	$-0.00275681\pi$
$774$	4.00139	+	7.58348i	0.143827	+	0.272583i
$775$	0.293802	−	10.2844i	0.0105537	−	0.369427i
$776$	10.9977	+	41.8397i	0.394796	+	1.50196i
$777$	−0.702882	+	0.0401923i	−0.0252158	+	0.00144189i
$778$	−22.2961	+	22.9422i	−0.799356	+	0.822517i
$779$	9.91649	−	4.87561i	0.355295	−	0.174687i
$780$	32.6511	−	71.4959i	1.16910	−	2.55996i
$781$	−0.0757427	+	13.7095i	−0.00271029	+	0.490563i
$782$	58.4201	+	127.922i	2.08910	+	4.57449i
$783$	−0.128621	−	0.105173i	−0.00459655	−	0.00375858i
$784$	38.6627	−	73.2739i	1.38081	−	2.61693i
$785$	5.39989	+	3.04946i	0.192730	+	0.108840i
$786$	0.516997	−	0.0593198i	0.0184407	−	0.00211587i
$787$	−22.4635	+	2.57745i	−0.800737	+	0.0918760i	−0.504694	−	0.863299i	$-0.668395\pi$
$787$	−22.4635	+	2.57745i	−0.800737	+	0.0918760i	−0.296043	+	0.955175i	$0.595667\pi$
$788$	−57.1756	−	32.2886i	−2.03680	−	1.15023i
$789$	−0.338353	+	0.641250i	−0.0120457	+	0.0228291i
$790$	−28.7386	−	23.4995i	−1.02247	−	0.836073i
$791$	0.0382970	+	0.0838588i	0.00136169	+	0.00298168i
$792$	−23.8683	+	79.6572i	−0.848123	+	2.83050i
$793$	−0.865411	+	1.89499i	−0.0307316	+	0.0672929i
$794$	−14.6337	+	7.19492i	−0.519331	+	0.255338i
$795$	−5.19106	+	5.34147i	−0.184108	+	0.189442i
$796$	−65.3749	+	3.73827i	−2.31715	+	0.132500i
$797$	9.13494	+	34.7529i	0.323576	+	1.23101i	0.907794	+	0.419415i	$0.137765\pi$
$797$	9.13494	+	34.7529i	0.323576	+	1.23101i	−0.584218	+	0.811597i	$0.698599\pi$
$798$	−0.0108777	+	0.380770i	−0.000385068	+	0.0134791i
$799$	23.1749	+	43.9213i	0.819869	+	1.55382i
$800$	−2.98090	+	14.7113i	−0.105391	+	0.520124i
$801$	4.63184	−	17.6213i	0.163658	−	0.622620i
$802$	−12.8969	−	3.78687i	−0.455405	−	0.133719i
$803$	−0.756101	−	3.33490i	−0.0266822	−	0.117686i
$804$	−41.6028	+	12.2157i	−1.46722	+	0.430814i
$805$	−0.00969302	−	0.339300i	−0.000341634	−	0.0119588i
$806$	−149.737	+	84.5606i	−5.27427	+	2.97852i
$807$	−32.8606	+	23.8746i	−1.15675	+	0.840425i
$808$	28.9985	−	12.2549i	1.02016	−	0.431124i
$809$	−6.00447	−	1.03912i	−0.211106	−	0.0365333i	0.0639879	−	0.997951i	$-0.479618\pi$
$809$	−6.00447	−	1.03912i	−0.211106	−	0.0365333i	−0.275094	+	0.961417i	$0.588709\pi$
$810$	−2.03117	+	23.6485i	−0.0713682	+	0.830924i
$811$	0.233333	+	2.71664i	0.00819342	+	0.0953943i	0.999286	−	0.0377798i	$-0.0120285\pi$
$811$	0.233333	+	2.71664i	0.00819342	+	0.0953943i	−0.991093	+	0.133174i	$0.957483\pi$
$812$	−0.491159	+	0.0849984i	−0.0172363	+	0.00298286i
$813$	−63.5420	+	40.8360i	−2.22852	+	1.43218i
$814$	−25.1471	+	50.4408i	−0.881405	+	1.76795i
$815$	−7.99341	−	5.13705i	−0.279997	−	0.179943i
$816$	187.177	+	79.1016i	6.55250	+	2.76911i
$817$	1.33810	−	0.311162i	0.0468141	−	0.0108862i
$818$	−5.41730	+	13.9142i	−0.189411	+	0.486499i
$819$	0.441343	+	0.731884i	0.0154218	+	0.0255741i
$820$	−13.4636	+	41.4368i	−0.470170	+	1.44703i
$821$	−18.1787	+	23.5746i	−0.634442	+	0.822759i	−0.993886	−	0.110408i	$-0.964784\pi$
$821$	−18.1787	+	23.5746i	−0.634442	+	0.822759i	0.359444	+	0.933166i	$0.382966\pi$
$822$	4.14046	+	10.6347i	0.144415	+	0.370927i
$823$	27.4952	+	40.2105i	0.958422	+	1.40165i	0.915387	+	0.402575i	$0.131885\pi$
$823$	27.4952	+	40.2105i	0.958422	+	1.40165i	0.0430353	+	0.999074i	$0.486297\pi$
$824$	−13.0356	+	90.6647i	−0.454117	+	3.15845i
$825$	−4.04433	+	7.07007i	−0.140806	+	0.246148i
$826$	−0.0814711	−	0.566644i	−0.00283474	−	0.0197161i
$827$	4.13364	−	3.79382i	0.143741	−	0.131924i	−0.601079	−	0.799189i	$-0.705262\pi$
$827$	4.13364	−	3.79382i	0.143741	−	0.131924i	0.744820	+	0.667265i	$0.232535\pi$
$828$	116.597	+	6.66728i	4.05204	+	0.231704i
$829$	−5.49971	−	27.1421i	−0.191013	−	0.942685i	−0.954807	−	0.297226i	$-0.903939\pi$
$829$	−5.49971	−	27.1421i	−0.191013	−	0.942685i	0.763794	−	0.645460i	$-0.223334\pi$
$830$	−12.8408	+	10.4999i	−0.445712	+	0.364457i
$831$	−69.2243	−	34.0353i	−2.40136	−	1.18067i
$832$	96.4418	−	34.4103i	3.34352	−	1.19296i
$833$	−29.8666	−	38.7317i	−1.03482	−	1.34197i
$834$	20.2442	−	33.5713i	0.701000	−	1.16248i
$835$	2.25204	+	2.59900i	0.0779352	+	0.0899420i
$836$	18.6993	+	11.4174i	0.646728	+	0.394880i
$837$	−0.515322	+	0.594713i	−0.0178121	+	0.0205563i
$838$	−21.6127	−	66.5169i	−0.746597	−	2.29779i
$839$	−33.5922	−	11.9857i	−1.15973	−	0.413791i	−0.315057	−	0.949073i	$-0.602024\pi$
$839$	−33.5922	−	11.9857i	−1.15973	−	0.413791i	−0.844674	+	0.535282i	$0.820206\pi$
$840$	−0.636540	−	0.654984i	−0.0219627	−	0.0225991i
$841$	17.8889	+	16.4183i	0.616859	+	0.566148i
$842$	−41.5711	+	60.7959i	−1.43264	+	2.09516i
$843$	13.2701	+	3.08582i	0.457045	+	0.106281i
$844$	39.8984	+	28.9879i	1.37336	+	0.997805i
$845$	−26.1554	−	3.00105i	−0.899772	−	0.103239i
$846$	57.4026			1.97354
$847$	0.120437	+	0.479687i	0.00413827	+	0.0164822i
$848$	−35.9066			−1.23304
$849$	43.5567	+	4.99766i	1.49486	+	0.171519i
$850$	15.0701	+	10.9491i	0.516901	+	0.375551i
$851$	46.8853	+	10.9027i	1.60721	+	0.373740i
$852$	29.2429	−	42.7664i	1.00185	−	1.46515i
$853$	−0.0659403	−	0.0605194i	−0.00225775	−	0.00207215i	0.675045	−	0.737776i	$-0.264124\pi$
$853$	−0.0659403	−	0.0605194i	−0.00225775	−	0.00207215i	−0.677303	+	0.735704i	$0.736851\pi$
$854$	0.0277438	+	0.0285477i	0.000949372	+	0.000976881i
$855$	−3.69530	−	1.31848i	−0.126376	−	0.0450910i
$856$	−46.1619	−	142.072i	−1.57778	−	4.85591i
$857$	−12.3026	+	14.1979i	−0.420248	+	0.484992i	−0.925912	−	0.377738i	$-0.876702\pi$
$857$	−12.3026	+	14.1979i	−0.420248	+	0.484992i	0.505665	+	0.862730i	$0.331247\pi$
$858$	136.102	−	3.13567i	4.64643	−	0.107050i
$859$	−11.0874	−	12.7955i	−0.378296	−	0.436577i	0.534390	−	0.845238i	$-0.320541\pi$
$859$	−11.0874	−	12.7955i	−0.378296	−	0.436577i	−0.912686	+	0.408661i	$0.865996\pi$
$860$	−2.79714	+	4.63854i	−0.0953818	+	0.158173i
$861$	−0.575625	−	0.746484i	−0.0196173	−	0.0254401i
$862$	−64.9753	+	23.1831i	−2.21307	+	0.789621i
$863$	−29.1057	−	14.3103i	−0.990768	−	0.487128i	−0.127481	−	0.991841i	$-0.540689\pi$
$863$	−29.1057	−	14.3103i	−0.990768	−	0.487128i	−0.863287	+	0.504713i	$0.831598\pi$
$864$	0.888757	−	0.726733i	0.0302361	−	0.0247240i
$865$	−2.71863	−	13.4170i	−0.0924363	−	0.456191i
$866$	0.726971	+	0.0415697i	0.0247035	+	0.00141260i
$867$	57.6227	−	52.8856i	1.95697	−	1.79609i
$868$	0.335983	+	2.33681i	0.0114040	+	0.0793165i
$869$	10.7117	−	44.9370i	0.363369	−	1.52438i
$870$	2.02352	−	14.0739i	0.0686036	−	0.477148i
$871$	12.2455	+	17.9085i	0.414923	+	0.606806i
$872$	−25.3995	−	65.2381i	−0.860136	−	2.20924i
$873$	9.68059	−	12.5540i	0.327638	−	0.424889i
$874$	8.04830	−	24.7701i	0.272238	−	0.837862i
$875$	−0.0232180	−	0.0385027i	−0.000784910	−	0.00130163i
$876$	−4.68832	+	12.0419i	−0.158404	+	0.406857i
$877$	12.3608	−	2.87438i	0.417394	−	0.0970608i	−0.0125396	−	0.999921i	$-0.503992\pi$
$877$	12.3608	−	2.87438i	0.417394	−	0.0970608i	0.429933	+	0.902861i	$0.358537\pi$
$878$	−62.4661	−	26.3984i	−2.10813	−	0.890903i
$879$	−34.8469	−	22.3947i	−1.17536	−	0.755355i
$880$	−38.0298	+	9.77199i	−1.28199	+	0.329414i
$881$	31.9351	−	20.5235i	1.07592	−	0.691453i	0.122310	−	0.992492i	$-0.460970\pi$
$881$	31.9351	−	20.5235i	1.07592	−	0.691453i	0.953612	+	0.301039i	$0.0973334\pi$
$882$	−55.7068	+	9.64044i	−1.87575	+	0.324611i
$883$	3.17313	+	36.9440i	0.106784	+	1.24327i	0.832012	+	0.554757i	$0.187189\pi$
$883$	3.17313	+	36.9440i	0.106784	+	1.24327i	−0.725228	+	0.688509i	$0.758266\pi$
$884$	19.1419	−	222.865i	0.643812	−	7.49576i
$885$	11.5603	+	2.00059i	0.388595	+	0.0672490i
$886$	−25.6892	+	10.8563i	−0.863044	+	0.364726i
$887$	−27.0397	+	19.6455i	−0.907903	+	0.659630i	−0.940484	−	0.339839i	$-0.889627\pi$
$887$	−27.0397	+	19.6455i	−0.907903	+	0.659630i	0.0325805	+	0.999469i	$0.489627\pi$
$888$	112.781	−	63.6903i	3.78468	−	2.13731i
$889$	−0.0111963	−	0.391923i	−0.000375513	−	0.0131447i
$890$	15.3716	−	4.51351i	0.515257	−	0.151293i
$891$	−27.5828	+	10.5639i	−0.924059	+	0.353902i
$892$	−55.0080	−	16.1518i	−1.84180	−	0.540803i
$893$	2.33808	−	8.89496i	0.0782407	−	0.297658i
$894$	−13.4879	+	66.5656i	−0.451104	+	2.22629i
$895$	3.31938	+	6.29093i	0.110955	+	0.210283i
$896$	0.0173307	−	0.606653i	0.000578978	−	0.0202669i
$897$	−29.5579	−	112.450i	−0.986908	−	3.75459i
$898$	−6.27156	+	0.358621i	−0.209285	+	0.0119673i
$899$	−15.5765	+	16.0278i	−0.519505	+	0.534558i
$900$	13.8823	−	6.82548i	0.462744	−	0.227516i
$901$	−8.80576	+	19.2819i	−0.293362	+	0.642374i
$902$	−74.7545	+	10.3269i	−2.48905	+	0.343847i
$903$	−0.0486835	−	0.106602i	−0.00162009	−	0.00354750i
$904$	−13.1297	−	10.7361i	−0.436688	−	0.357078i
$905$	2.19335	−	4.15686i	0.0729095	−	0.138179i
$906$	64.9796	+	36.6957i	2.15880	+	1.21913i
$907$	18.0249	−	2.06817i	0.598508	−	0.0686724i	0.190557	−	0.981676i	$-0.438971\pi$
$907$	18.0249	−	2.06817i	0.598508	−	0.0686724i	0.407951	+	0.913004i	$0.366243\pi$
$908$	83.4463	−	9.57457i	2.76926	−	0.317743i
$909$	−10.0453	−	5.67284i	−0.333182	−	0.188156i
$910$	−0.350695	+	0.664641i	−0.0116254	+	0.0220326i
$911$	2.12362	+	1.73647i	0.0703586	+	0.0575320i	0.667538	−	0.744576i	$-0.267348\pi$
$911$	2.12362	+	1.73647i	0.0703586	+	0.0575320i	−0.597179	+	0.802108i	$0.703712\pi$
$912$	−15.6336	−	34.2327i	−0.517679	−	1.13356i
$913$	−18.7281	−	8.67821i	−0.619810	−	0.287207i
$914$	−27.3925	+	59.9813i	−0.906064	+	1.98400i
$915$	−0.732116	+	0.359957i	−0.0242030	+	0.0118998i
$916$	92.4321	−	95.1104i	3.05404	−	3.14254i
$917$	−0.00356880		0.000204071i	−0.000117852		6.73903e-6i
$918$	−0.362192	−	1.37792i	−0.0119541	−	0.0454782i
$919$	−1.28071	+	44.8306i	−0.0422466	+	1.47882i	0.651524	+	0.758628i	$0.274130\pi$
$919$	−1.28071	+	44.8306i	−0.0422466	+	1.47882i	−0.693770	+	0.720196i	$0.744052\pi$
$920$	29.1421	+	55.2304i	0.960786	+	1.82089i
$921$	−10.8036	+	53.3178i	−0.355990	+	1.75688i
$922$	16.5573	−	62.9907i	0.545287	−	2.07449i
$923$	−24.8724	−	7.30319i	−0.818685	−	0.240388i
$924$	0.637788	−	1.75680i	0.0209817	−	0.0577944i
$925$	6.11777	−	1.79634i	0.201151	−	0.0590633i
$926$	0.0240524	+	0.841943i	0.000790410	+	0.0276680i
$927$	29.2272	−	16.5054i	0.959947	−	0.542107i
$928$	26.3795	−	19.1658i	0.865950	−	0.629149i
$929$	16.1968	−	6.84483i	0.531400	−	0.224572i	−0.107024	−	0.994256i	$-0.534132\pi$
$929$	16.1968	−	6.84483i	0.531400	−	0.224572i	0.638424	+	0.769685i	$0.279587\pi$
$930$	−66.3568	−	11.4835i	−2.17593	−	0.376559i
$931$	−0.775145	+	9.02485i	−0.0254044	+	0.295778i
$932$	−1.41965	−	16.5287i	−0.0465022	−	0.541415i
$933$	−73.5163	+	12.7225i	−2.40682	+	0.416516i
$934$	85.6059	−	55.0156i	2.80111	−	1.80016i
$935$	−4.07888	+	22.8186i	−0.133394	+	0.746248i
$936$	−132.273	−	85.0067i	−4.32348	−	2.77853i
$937$	0.144378	+	0.0610145i	0.00471662	+	0.00199326i	0.391627	−	0.920124i	$-0.371912\pi$
$937$	0.144378	+	0.0610145i	0.00471662	+	0.00199326i	−0.386911	+	0.922117i	$0.626458\pi$
$938$	0.403787	−	0.0938966i	0.0131841	−	0.00306583i
$939$	−19.7981	+	50.8510i	−0.646087	+	1.65946i
$940$	18.7259	+	31.0534i	0.610771	+	1.01285i
$941$	15.4177	−	47.4509i	0.502603	−	1.54685i	−0.302160	−	0.953257i	$-0.597708\pi$
$941$	15.4177	−	47.4509i	0.502603	−	1.54685i	0.804763	−	0.593596i	$-0.202292\pi$
$942$	24.7868	−	32.1441i	0.807598	−	1.04731i
$943$	23.3834	+	60.0597i	0.761467	+	1.95581i
$944$	31.9234	+	46.6864i	1.03902	+	1.51951i
$945$	−0.000489399		0.00340385i	−1.59202e−5		0.000110727i
$946$	−9.34297	−	0.854492i	−0.303766	−	0.0277819i
$947$	2.36153	+	16.4248i	0.0767394	+	0.533734i	0.991537	+	0.129822i	$0.0414407\pi$
$947$	2.36153	+	16.4248i	0.0767394	+	0.533734i	−0.914798	+	0.403912i	$0.867650\pi$
$948$	−128.616	+	118.042i	−4.17724	+	3.83384i
$949$	6.45517	+	0.369120i	0.209544	+	0.0119821i
$950$	−0.685108	−	3.38114i	−0.0222278	−	0.109699i
$951$	−52.8306	+	43.1994i	−1.71315	+	1.40084i
$952$	−2.33260	−	1.14686i	−0.0755999	−	0.0371700i
$953$	36.6885	−	13.0904i	1.18846	−	0.424041i	0.333506	−	0.942748i	$-0.391768\pi$
$953$	36.6885	−	13.0904i	1.18846	−	0.424041i	0.854952	+	0.518707i	$0.173587\pi$
$954$	14.9622	+	19.4034i	0.484420	+	0.628207i
$955$	2.32970	−	3.86337i	0.0753872	−	0.125016i
$956$	65.6403	+	75.7529i	2.12296	+	2.45002i
$957$	16.8575	−	5.37456i	0.544927	−	0.173735i
$958$	−10.4658	+	12.0782i	−0.338136	+	0.390229i
$959$	−0.0242246	−	0.0745558i	−0.000782254	−	0.00240753i
$960$	37.7676	+	13.4755i	1.21894	+	0.434919i
$961$	52.1695	+	53.6812i	1.68289	+	1.73165i
$962$	−78.5143	−	72.0598i	−2.53140	−	2.32330i
$963$	−30.8984	+	45.1875i	−0.995687	+	1.45615i
$964$	−53.7271	−	12.4937i	−1.73043	−	0.402395i
$965$	−14.5491	−	10.5705i	−0.468352	−	0.340278i
$966$	−2.20728	−	0.253262i	−0.0710181	−	0.00814857i
$967$	−17.4541			−0.561286			−0.280643	−	0.959812i	$-0.590548\pi$
$967$	−17.4541			−0.561286			−0.280643	+	0.959812i	$0.590548\pi$
$968$	−58.8211	−	69.4184i	−1.89058	−	2.23119i
$969$	−22.2170			−0.713714
$970$	13.8485	+	1.58896i	0.444647	+	0.0510185i
$971$	5.90671	+	4.29147i	0.189555	+	0.137720i	0.678515	−	0.734586i	$-0.262624\pi$
$971$	5.90671	+	4.29147i	0.189555	+	0.137720i	−0.488960	+	0.872306i	$0.662624\pi$
$972$	109.858	+	25.5463i	3.52368	+	0.819398i
$973$	−0.151999	+	0.222291i	−0.00487286	+	0.00712633i
$974$	8.36502	+	7.67734i	0.268032	+	0.245998i
$975$	−10.7334	−	11.0445i	−0.343745	−	0.353706i
$976$	−3.70413	−	1.32163i	−0.118566	−	0.0423044i
$977$	−8.33073	−	25.6393i	−0.266524	−	0.820275i	−0.991338	−	0.131332i	$-0.958075\pi$
$977$	−8.33073	−	25.6393i	−0.266524	−	0.820275i	0.724815	−	0.688944i	$-0.241925\pi$
$978$	−40.7278	+	47.0024i	−1.30233	+	1.50297i
$979$	13.3988	+	14.7619i	0.428228	+	0.471791i
$980$	−23.3879	−	26.9911i	−0.747100	−	0.862199i
$981$	−13.2479	+	21.9692i	−0.422973	+	0.701422i
$982$	0.552300	+	0.716236i	0.0176246	+	0.0228560i
$983$	26.7536	−	9.54568i	0.853309	−	0.304460i	0.127063	−	0.991895i	$-0.459445\pi$
$983$	26.7536	−	9.54568i	0.853309	−	0.304460i	0.726246	+	0.687435i	$0.241263\pi$
$984$	155.628	+	76.5169i	4.96123	+	2.43927i
$985$	−9.96024	+	8.14445i	−0.317360	+	0.259504i
$986$	−8.03595	−	39.6590i	−0.255917	−	1.26300i
$987$	−0.783283	−	0.0447898i	−0.0249322	−	0.00142567i
$988$	−30.5207	+	28.0116i	−0.970992	+	0.891168i
$989$	1.14033	+	7.93119i	0.0362605	+	0.252197i
$990$	21.1276	+	16.4788i	0.671480	+	0.523729i
$991$	−0.185780	+	1.29213i	−0.00590150	+	0.0410458i	−0.992559	−	0.121761i	$-0.961146\pi$
$991$	−0.185780	+	1.29213i	−0.00590150	+	0.0410458i	0.986658	+	0.162807i	$0.0520548\pi$
$992$	−87.1698	−	127.482i	−2.76765	−	4.04755i
$993$	−16.5873	−	42.6042i	−0.526383	−	1.35200i
$994$	−0.302481	+	0.392264i	−0.00959412	+	0.0124419i
$995$	−3.96490	+	12.2027i	−0.125696	+	0.386852i
$996$	40.2801	+	66.7970i	1.27632	+	2.11654i
$997$	−8.56620	+	22.0021i	−0.271294	+	0.696814i	0.728635	+	0.684902i	$0.240155\pi$
$997$	−8.56620	+	22.0021i	−0.271294	+	0.696814i	−0.999929	+	0.0119112i	$0.996208\pi$
$998$	78.3452	−	18.2184i	2.47997	−	0.576693i
$999$	−0.449203	−	0.189835i	−0.0142122	−	0.00600611i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.s.a.16.1	✓	880
121.53	even	55	inner	605.2.s.a.416.1	yes	880

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
605.2.s.a.16.1	✓	880	1.1	even	1	trivial
605.2.s.a.416.1	yes	880	121.53	even	55	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:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.s (of order \(55\), degree \(40\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.64787 - 0.303815i) q^{2} +(1.98682 + 1.44351i) q^{3} +(4.97089 + 1.15593i) q^{4} +(0.564443 - 0.825472i) q^{5} +(-4.82227 - 4.42584i) q^{6} +(0.0313353 + 0.0322433i) q^{7} +(-7.79061 - 2.77968i) q^{8} +(0.936675 + 2.88279i) q^{9} +O(q^{10})\)	\(q+(-2.64787 - 0.303815i) q^{2} +(1.98682 + 1.44351i) q^{3} +(4.97089 + 1.15593i) q^{4} +(0.564443 - 0.825472i) q^{5} +(-4.82227 - 4.42584i) q^{6} +(0.0313353 + 0.0322433i) q^{7} +(-7.79061 - 2.77968i) q^{8} +(0.936675 + 2.88279i) q^{9} +(-1.74536 + 2.01426i) q^{10} +(-3.20296 - 0.860856i) q^{11} +(8.20765 + 9.47214i) q^{12} +(3.23839 - 5.37027i) q^{13} +(-0.0731758 - 0.0948961i) q^{14} +(2.31302 - 0.825283i) q^{15} +(10.6242 + 5.22358i) q^{16} +(5.41057 - 4.42420i) q^{17} +(-1.60436 - 7.91783i) q^{18} +(-1.29227 - 0.0738949i) q^{19} +(3.75998 - 3.45088i) q^{20} +(0.0157141 + 0.109294i) q^{21} +(8.21947 + 3.25254i) q^{22} +(1.07441 - 7.47271i) q^{23} +(-11.4660 - 16.7685i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-10.2064 + 13.2359i) q^{26} +(-0.0236350 + 0.0727410i) q^{27} +(0.118493 + 0.196499i) q^{28} +(-0.788127 + 2.02429i) q^{29} +(-6.37531 + 1.48251i) q^{30} +(9.47708 + 4.00505i) q^{31} +(-12.6275 - 8.11518i) q^{32} +(-5.12103 - 6.33385i) q^{33} +(-15.6706 + 10.0709i) q^{34} +(0.0443029 - 0.00766692i) q^{35} +(1.32380 + 15.4128i) q^{36} +(-0.545631 + 6.35266i) q^{37} +(3.39933 + 0.588277i) q^{38} +(14.1861 - 5.99510i) q^{39} +(-6.69191 + 4.86196i) q^{40} +(-7.43363 + 4.19796i) q^{41} +(-0.00840378 - 0.294171i) q^{42} +(-1.01836 + 0.299018i) q^{43} +(-14.9265 - 7.98162i) q^{44} +(2.90836 + 0.853972i) q^{45} +(-5.11523 + 19.4603i) q^{46} +(-1.41106 + 6.96387i) q^{47} +(13.5681 + 25.7144i) q^{48} +(0.199835 - 6.99512i) q^{49} +(0.677554 + 2.57768i) q^{50} +(17.1362 - 0.979881i) q^{51} +(22.3054 - 22.9517i) q^{52} +(-2.72175 + 1.33819i) q^{53} +(0.0846822 - 0.185428i) q^{54} +(-2.51850 + 2.15805i) q^{55} +(-0.154495 - 0.338297i) q^{56} +(-2.46084 - 2.01222i) q^{57} +(2.70187 - 5.12061i) q^{58} +(4.15976 + 2.34912i) q^{59} +(12.4517 - 1.42870i) q^{60} +(-0.330031 + 0.0378675i) q^{61} +(-23.8773 - 13.4841i) q^{62} +(-0.0635995 + 0.120534i) q^{63} +(12.6404 + 10.3360i) q^{64} +(-2.60512 - 5.70441i) q^{65} +(11.6355 + 18.3271i) q^{66} +(-1.43712 + 3.14686i) q^{67} +(32.0094 - 15.7380i) q^{68} +(12.9216 - 13.2960i) q^{69} +(-0.119638 + 0.00684113i) q^{70} +(-1.05084 - 3.99782i) q^{71} +(0.715974 - 25.0623i) q^{72} +(0.481148 + 0.911876i) q^{73} +(3.37479 - 16.6553i) q^{74} +(0.624319 - 2.37516i) q^{75} +(-6.33834 - 1.86111i) q^{76} +(-0.0726088 - 0.130249i) q^{77} +(-39.3844 + 11.5643i) q^{78} +(0.397747 + 13.9230i) q^{79} +(10.3087 - 5.82159i) q^{80} +(7.20478 - 5.23458i) q^{81} +(20.9587 - 8.85722i) q^{82} +(6.13237 + 1.06125i) q^{83} +(-0.0482233 + 0.561454i) q^{84} +(-0.598094 - 6.96348i) q^{85} +(2.78734 - 0.482368i) q^{86} +(-4.48793 + 2.88422i) q^{87} +(22.5601 + 15.6098i) q^{88} +(-5.05670 - 3.24974i) q^{89} +(-7.44152 - 3.14481i) q^{90} +(0.274631 - 0.0638627i) q^{91} +(13.9787 - 35.9041i) q^{92} +(13.0479 + 21.6375i) q^{93} +(5.85204 - 18.0107i) q^{94} +(-0.790414 + 1.02503i) q^{95} +(-13.3741 - 34.3512i) q^{96} +(-2.95206 - 4.31724i) q^{97} +(-2.65436 + 18.4615i) q^{98} +(-0.518464 - 10.0398i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 880 q + 2 q^{2} + 5 q^{3} + 24 q^{4} - 22 q^{5} + 7 q^{6} + q^{7} - 4 q^{8} - 217 q^{9}+O(q^{10}) \) 880 * q + 2 * q^2 + 5 * q^3 + 24 * q^4 - 22 * q^5 + 7 * q^6 + q^7 - 4 * q^8 - 217 * q^9	\( 880 q + 2 q^{2} + 5 q^{3} + 24 q^{4} - 22 q^{5} + 7 q^{6} + q^{7} - 4 q^{8} - 217 q^{9} - 2 q^{10} - 3 q^{11} - 49 q^{12} + 2 q^{13} + 60 q^{14} - 16 q^{15} + 18 q^{16} + 13 q^{17} - 15 q^{19} - 19 q^{20} + 42 q^{21} - 301 q^{22} + 31 q^{23} - 409 q^{24} + 22 q^{25} - 4 q^{26} - 4 q^{27} + 6 q^{28} + 9 q^{29} + 19 q^{30} - 10 q^{31} + 94 q^{32} - 5 q^{33} + 12 q^{34} + 4 q^{35} + 35 q^{36} + 73 q^{37} - 8 q^{38} - 21 q^{39} + 4 q^{40} - 8 q^{41} - 17 q^{42} + 93 q^{43} + q^{44} + 80 q^{45} + 129 q^{46} - 178 q^{47} + 153 q^{48} - 177 q^{49} + 2 q^{50} - 12 q^{51} - 126 q^{52} - 99 q^{53} - 93 q^{54} - 7 q^{55} - 25 q^{56} + 100 q^{57} - 26 q^{58} + 25 q^{59} - 4 q^{60} - 6 q^{61} + 63 q^{62} - 25 q^{63} + 8 q^{64} - 2 q^{65} + 64 q^{66} + 47 q^{67} - 11 q^{68} + 67 q^{69} - 60 q^{70} + 18 q^{71} - 641 q^{72} - 35 q^{73} - 108 q^{74} - 5 q^{75} - 132 q^{76} - 166 q^{77} + 115 q^{78} - 103 q^{79} - 23 q^{80} - 230 q^{81} - 72 q^{82} + 149 q^{83} - 28 q^{84} - 21 q^{85} + 49 q^{86} + 6 q^{87} - 85 q^{88} + 44 q^{89} - 34 q^{90} - 135 q^{92} - 172 q^{93} + 49 q^{94} - 106 q^{95} - 115 q^{96} - 421 q^{97} - 192 q^{98} - 156 q^{99}+O(q^{100}) \) 880 * q + 2 * q^2 + 5 * q^3 + 24 * q^4 - 22 * q^5 + 7 * q^6 + q^7 - 4 * q^8 - 217 * q^9 - 2 * q^10 - 3 * q^11 - 49 * q^12 + 2 * q^13 + 60 * q^14 - 16 * q^15 + 18 * q^16 + 13 * q^17 - 15 * q^19 - 19 * q^20 + 42 * q^21 - 301 * q^22 + 31 * q^23 - 409 * q^24 + 22 * q^25 - 4 * q^26 - 4 * q^27 + 6 * q^28 + 9 * q^29 + 19 * q^30 - 10 * q^31 + 94 * q^32 - 5 * q^33 + 12 * q^34 + 4 * q^35 + 35 * q^36 + 73 * q^37 - 8 * q^38 - 21 * q^39 + 4 * q^40 - 8 * q^41 - 17 * q^42 + 93 * q^43 + q^44 + 80 * q^45 + 129 * q^46 - 178 * q^47 + 153 * q^48 - 177 * q^49 + 2 * q^50 - 12 * q^51 - 126 * q^52 - 99 * q^53 - 93 * q^54 - 7 * q^55 - 25 * q^56 + 100 * q^57 - 26 * q^58 + 25 * q^59 - 4 * q^60 - 6 * q^61 + 63 * q^62 - 25 * q^63 + 8 * q^64 - 2 * q^65 + 64 * q^66 + 47 * q^67 - 11 * q^68 + 67 * q^69 - 60 * q^70 + 18 * q^71 - 641 * q^72 - 35 * q^73 - 108 * q^74 - 5 * q^75 - 132 * q^76 - 166 * q^77 + 115 * q^78 - 103 * q^79 - 23 * q^80 - 230 * q^81 - 72 * q^82 + 149 * q^83 - 28 * q^84 - 21 * q^85 + 49 * q^86 + 6 * q^87 - 85 * q^88 + 44 * q^89 - 34 * q^90 - 135 * q^92 - 172 * q^93 + 49 * q^94 - 106 * q^95 - 115 * q^96 - 421 * q^97 - 192 * q^98 - 156 * q^99

Introduction

L-functions

Modular forms

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Database

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