LMFDB - Embedded newform 296.2.q.a.101.33

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(85,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(6)) chi = DirichletCharacter(H, H._module([0, 3, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.85"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.q (of order $6$, degree $2$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			101.33
Character	$\chi$	$=$	296.101
Dual form			296.2.q.a.85.33

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.30618 - 0.542125i) q^{2} +(-0.576079 + 0.332599i) q^{3} +(1.41220 - 1.41622i) q^{4} +(-1.60874 - 2.78642i) q^{5} +(-0.572151 + 0.746741i) q^{6} +(-0.874135 - 1.51405i) q^{7} +(1.07682 - 2.61543i) q^{8} +(-1.27876 + 2.21487i) q^{9} +(-3.61188 - 2.76742i) q^{10} -3.96429i q^{11} +(-0.342505 + 1.28555i) q^{12} +(0.268480 + 0.465021i) q^{13} +(-1.96258 - 1.50372i) q^{14} +(1.85352 + 1.07013i) q^{15} +(-0.0113739 - 3.99998i) q^{16} +(6.04097 + 3.48776i) q^{17} +(-0.469547 + 3.58626i) q^{18} +(2.21841 + 3.84239i) q^{19} +(-6.21805 - 1.65665i) q^{20} +(1.00714 + 0.581474i) q^{21} +(-2.14914 - 5.17807i) q^{22} -2.14898i q^{23} +(0.249558 + 1.86484i) q^{24} +(-2.67607 + 4.63509i) q^{25} +(0.602782 + 0.461850i) q^{26} -3.69685i q^{27} +(-3.37868 - 0.900169i) q^{28} +3.76282 q^{29} +(3.00117 + 0.392941i) q^{30} -1.95692i q^{31} +(-2.18335 - 5.21852i) q^{32} +(1.31852 + 2.28375i) q^{33} +(9.78138 + 1.28067i) q^{34} +(-2.81251 + 4.87141i) q^{35} +(1.33089 + 4.93884i) q^{36} +(0.0791047 + 6.08225i) q^{37} +(4.98069 + 3.81620i) q^{38} +(-0.309331 - 0.178593i) q^{39} +(-9.01998 + 1.20708i) q^{40} +(1.70672 + 2.95613i) q^{41} +(1.63074 + 0.213511i) q^{42} -7.07866 q^{43} +(-5.61432 - 5.59838i) q^{44} +8.22873 q^{45} +(-1.16501 - 2.80695i) q^{46} +8.02359 q^{47} +(1.33694 + 2.30052i) q^{48} +(1.97178 - 3.41521i) q^{49} +(-0.982628 + 7.50502i) q^{50} -4.64010 q^{51} +(1.03772 + 0.276476i) q^{52} +(0.341615 + 0.197231i) q^{53} +(-2.00415 - 4.82874i) q^{54} +(-11.0462 + 6.37751i) q^{55} +(-4.90116 + 0.655887i) q^{56} +(-2.55596 - 1.47568i) q^{57} +(4.91492 - 2.03992i) q^{58} +(-4.26642 + 7.38966i) q^{59} +(4.13309 - 1.11376i) q^{60} +(0.607843 + 1.05282i) q^{61} +(-1.06090 - 2.55609i) q^{62} +4.47122 q^{63} +(-5.68093 - 5.63268i) q^{64} +(0.863828 - 1.49619i) q^{65} +(2.96030 + 2.26817i) q^{66} +(-7.25109 + 4.18642i) q^{67} +(13.4705 - 3.62995i) q^{68} +(0.714748 + 1.23798i) q^{69} +(-1.03273 + 7.88765i) q^{70} +(-2.54377 - 4.40594i) q^{71} +(4.41585 + 5.72950i) q^{72} +2.30870 q^{73} +(3.40066 + 7.90161i) q^{74} -3.56024i q^{75} +(8.57452 + 2.28448i) q^{76} +(-6.00212 + 3.46533i) q^{77} +(-0.500861 - 0.0655774i) q^{78} +(-2.04786 + 1.18233i) q^{79} +(-11.1273 + 6.46662i) q^{80} +(-2.60670 - 4.51493i) q^{81} +(3.83187 + 2.93597i) q^{82} +(1.40655 + 0.812073i) q^{83} +(2.24578 - 0.605179i) q^{84} -22.4435i q^{85} +(-9.24599 + 3.83752i) q^{86} +(-2.16768 + 1.25151i) q^{87} +(-10.3683 - 4.26882i) q^{88} +(13.0089 + 7.51069i) q^{89} +(10.7482 - 4.46100i) q^{90} +(0.469376 - 0.812982i) q^{91} +(-3.04343 - 3.03479i) q^{92} +(0.650872 + 1.12734i) q^{93} +(10.4802 - 4.34979i) q^{94} +(7.13767 - 12.3628i) q^{95} +(2.99346 + 2.28010i) q^{96} +16.7828i q^{97} +(0.724017 - 5.52983i) q^{98} +(8.78039 + 5.06936i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) $ 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$1$

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 $

$2$	1.30618	−	0.542125i	0.923607	−	0.383340i
$2$	1.30618	−	0.542125i	0.923607	−	0.383340i
$3$	−0.576079	+	0.332599i	−0.332599	+	0.192026i	−0.656995	−	0.753895i	$-0.728173\pi$
$3$	−0.576079	+	0.332599i	−0.332599	+	0.192026i	0.324395	+	0.945922i	$0.394839\pi$
$4$	1.41220	−	1.41622i	0.706101	−	0.708111i
$5$	−1.60874	−	2.78642i	−0.719449	−	1.24612i	−0.961218	−	0.275789i	$-0.911061\pi$
$5$	−1.60874	−	2.78642i	−0.719449	−	1.24612i	0.241769	−	0.970334i	$-0.422272\pi$
$6$	−0.572151	+	0.746741i	−0.233580	+	0.304856i
$7$	−0.874135	−	1.51405i	−0.330392	−	0.572256i	0.652197	−	0.758050i	$-0.273848\pi$
$7$	−0.874135	−	1.51405i	−0.330392	−	0.572256i	−0.982589	+	0.185794i	$0.940514\pi$
$8$	1.07682	−	2.61543i	0.380712	−	0.924694i
$9$	−1.27876	+	2.21487i	−0.426252	+	0.738290i
$10$	−3.61188	−	2.76742i	−1.14218	−	0.875134i
$11$		−	3.96429i		−	1.19528i	−0.801765	−	0.597640i	$-0.796105\pi$
$11$		−	3.96429i		−	1.19528i	0.801765	−	0.597640i	$-0.203895\pi$
$12$	−0.342505	+	1.28555i	−0.0988726	+	0.371107i
$13$	0.268480	+	0.465021i	0.0744630	+	0.128974i	0.900853	−	0.434125i	$-0.142942\pi$
$13$	0.268480	+	0.465021i	0.0744630	+	0.128974i	−0.826390	+	0.563099i	$0.809609\pi$
$14$	−1.96258	−	1.50372i	−0.524521	−	0.401887i
$15$	1.85352	+	1.07013i	0.478577	+	0.276306i
$16$	−0.0113739	−	3.99998i	−0.00284347	−	0.999996i
$17$	6.04097	+	3.48776i	1.46515	+	0.845905i	0.999242	−	0.0389282i	$-0.0123943\pi$
$17$	6.04097	+	3.48776i	1.46515	+	0.845905i	0.465908	+	0.884833i	$0.345728\pi$
$18$	−0.469547	+	3.58626i	−0.110673	+	0.845289i
$19$	2.21841	+	3.84239i	0.508938	+	0.881506i	0.999946	+	0.0103511i	$0.00329492\pi$
$19$	2.21841	+	3.84239i	0.508938	+	0.881506i	−0.491009	+	0.871155i	$0.663372\pi$
$20$	−6.21805	−	1.65665i	−1.39040	−	0.370438i
$21$	1.00714	+	0.581474i	0.219776	+	0.126888i
$22$	−2.14914	−	5.17807i	−0.458198	−	1.10397i
$23$		−	2.14898i		−	0.448093i	−0.974579	−	0.224046i	$-0.928073\pi$
$23$		−	2.14898i		−	0.448093i	0.974579	−	0.224046i	$-0.0719267\pi$
$24$	0.249558	+	1.86484i	0.0509408	+	0.380659i
$25$	−2.67607	+	4.63509i	−0.535215	+	0.927019i
$26$	0.602782	+	0.461850i	0.118215	+	0.0905763i
$27$		−	3.69685i		−	0.711459i
$28$	−3.37868	−	0.900169i	−0.638511	−	0.170116i
$29$	3.76282			0.698739			0.349369	−	0.936985i	$-0.386396\pi$
$29$	3.76282			0.698739			0.349369	+	0.936985i	$0.386396\pi$
$30$	3.00117	+	0.392941i	0.547936	+	0.0717409i
$31$		−	1.95692i		−	0.351474i	−0.984437	−	0.175737i	$-0.943769\pi$
$31$		−	1.95692i		−	0.351474i	0.984437	−	0.175737i	$-0.0562308\pi$
$32$	−2.18335	−	5.21852i	−0.385965	−	0.922514i
$33$	1.31852	+	2.28375i	0.229525	+	0.397549i
$34$	9.78138	+	1.28067i	1.67749	+	0.219633i
$35$	−2.81251	+	4.87141i	−0.475401	+	0.823418i
$36$	1.33089	+	4.93884i	0.221815	+	0.823141i
$37$	0.0791047	+	6.08225i	0.0130047	+	0.999915i
$37$	0.0791047	+	6.08225i	0.0130047	+	0.999915i
$38$	4.98069	+	3.81620i	0.807975	+	0.619069i
$39$	−0.309331	−	0.178593i	−0.0495327	−	0.0285977i
$40$	−9.01998	+	1.20708i	−1.42618	+	0.190856i
$41$	1.70672	+	2.95613i	0.266545	+	0.461670i	0.967967	−	0.251076i	$-0.0807846\pi$
$41$	1.70672	+	2.95613i	0.266545	+	0.461670i	−0.701422	+	0.712746i	$0.747451\pi$
$42$	1.63074	+	0.213511i	0.251628	+	0.0329455i
$43$	−7.07866			−1.07949			−0.539743	−	0.841830i	$-0.681479\pi$
$43$	−7.07866			−1.07949			−0.539743	+	0.841830i	$0.681479\pi$
$44$	−5.61432	−	5.59838i	−0.846391	−	0.843987i
$45$	8.22873			1.22667
$46$	−1.16501	−	2.80695i	−0.171772	−	0.413862i
$47$	8.02359			1.17036			0.585180	−	0.810903i	$-0.301024\pi$
$47$	8.02359			1.17036			0.585180	+	0.810903i	$0.301024\pi$
$48$	1.33694	+	2.30052i	0.192971	+	0.332052i
$49$	1.97178	−	3.41521i	0.281682	−	0.487888i
$50$	−0.982628	+	7.50502i	−0.138965	+	1.06137i
$51$	−4.64010			−0.649744
$52$	1.03772	+	0.276476i	0.143906	+	0.0383403i
$53$	0.341615	+	0.197231i	0.0469244	+	0.0270918i	0.523279	−	0.852162i	$-0.324709\pi$
$53$	0.341615	+	0.197231i	0.0469244	+	0.0270918i	−0.476354	+	0.879253i	$0.658042\pi$
$54$	−2.00415	−	4.82874i	−0.272731	−	0.657109i
$55$	−11.0462	+	6.37751i	−1.48946	+	0.859943i
$56$	−4.90116	+	0.655887i	−0.654946	+	0.0876466i
$57$	−2.55596	−	1.47568i	−0.338545	−	0.195459i
$58$	4.91492	−	2.03992i	0.645360	−	0.267855i
$59$	−4.26642	+	7.38966i	−0.555441	+	0.962051i	0.442428	+	0.896804i	$0.354117\pi$
$59$	−4.26642	+	7.38966i	−0.555441	+	0.962051i	−0.997869	+	0.0652477i	$0.979216\pi$
$60$	4.13309	−	1.11376i	0.533579	−	0.143785i
$61$	0.607843	+	1.05282i	0.0778263	+	0.134799i	0.902312	−	0.431084i	$-0.141869\pi$
$61$	0.607843	+	1.05282i	0.0778263	+	0.134799i	−0.824486	+	0.565883i	$0.808535\pi$
$62$	−1.06090	−	2.55609i	−0.134734	−	0.324624i
$63$	4.47122			0.563321
$64$	−5.68093	−	5.63268i	−0.710116	−	0.704084i
$65$	0.863828	−	1.49619i	0.107145	−	0.185580i
$66$	2.96030	+	2.26817i	0.364387	+	0.279193i
$67$	−7.25109	+	4.18642i	−0.885861	+	0.511452i	−0.872587	−	0.488460i	$-0.837559\pi$
$67$	−7.25109	+	4.18642i	−0.885861	+	0.511452i	−0.0132749	+	0.999912i	$0.504226\pi$
$68$	13.4705	−	3.62995i	1.63354	−	0.440195i
$69$	0.714748	+	1.23798i	0.0860456	+	0.149035i
$70$	−1.03273	+	7.88765i	−0.123434	+	0.942755i
$71$	−2.54377	−	4.40594i	−0.301890	−	0.522889i	0.674674	−	0.738116i	$-0.264284\pi$
$71$	−2.54377	−	4.40594i	−0.301890	−	0.522889i	−0.976564	+	0.215227i	$0.930951\pi$
$72$	4.41585	+	5.72950i	0.520412	+	0.675228i
$73$	2.30870			0.270213			0.135107	−	0.990831i	$-0.456862\pi$
$73$	2.30870			0.270213			0.135107	+	0.990831i	$0.456862\pi$
$74$	3.40066	+	7.90161i	0.395319	+	0.918544i
$75$		−	3.56024i		−	0.411101i
$76$	8.57452	+	2.28448i	0.983565	+	0.262047i
$77$	−6.00212	+	3.46533i	−0.684005	+	0.394911i
$78$	−0.500861	−	0.0655774i	−0.0567114	−	0.00742518i
$79$	−2.04786	+	1.18233i	−0.230402	+	0.133023i	−0.610758	−	0.791818i	$-0.709135\pi$
$79$	−2.04786	+	1.18233i	−0.230402	+	0.133023i	0.380355	+	0.924840i	$0.375802\pi$
$80$	−11.1273	+	6.46662i	−1.24407	+	0.722990i
$81$	−2.60670	−	4.51493i	−0.289633	−	0.501659i
$82$	3.83187	+	2.93597i	0.423159	+	0.324224i
$83$	1.40655	+	0.812073i	0.154389	+	0.0891366i	0.575204	−	0.818010i	$-0.304923\pi$
$83$	1.40655	+	0.812073i	0.154389	+	0.0891366i	−0.420815	+	0.907146i	$0.638256\pi$
$84$	2.24578	−	0.605179i	0.245035	−	0.0660305i
$85$		−	22.4435i		−	2.43434i
$86$	−9.24599	+	3.83752i	−0.997021	+	0.413810i
$87$	−2.16768	+	1.25151i	−0.232400	+	0.134176i
$88$	−10.3683	−	4.26882i	−1.10527	−	0.455057i
$89$	13.0089	+	7.51069i	1.37894	+	0.796132i	0.992032	−	0.125986i	$-0.0402094\pi$
$89$	13.0089	+	7.51069i	1.37894	+	0.796132i	0.386909	+	0.922118i	$0.373543\pi$
$90$	10.7482	−	4.46100i	1.13296	−	0.470230i
$91$	0.469376	−	0.812982i	0.0492039	−	0.0852237i
$92$	−3.04343	−	3.03479i	−0.317299	−	0.316399i
$93$	0.650872	+	1.12734i	0.0674923	+	0.116900i
$94$	10.4802	−	4.34979i	1.08095	−	0.448646i
$95$	7.13767	−	12.3628i	0.732309	−	1.26840i
$96$	2.99346	+	2.28010i	0.305519	+	0.232712i
$97$			16.7828i			1.70404i	0.523510	+	0.852019i	$0.324622\pi$
$97$			16.7828i			1.70404i	−0.523510	+	0.852019i	$0.675378\pi$
$98$	0.724017	−	5.52983i	0.0731367	−	0.558597i
$99$	8.78039	+	5.06936i	0.882462	+	0.509490i
$100$	2.78517	+	10.3356i	0.278517	+	1.03356i
$101$			9.43561i			0.938879i	0.882965	+	0.469439i	$0.155544\pi$
$101$			9.43561i			0.938879i	−0.882965	+	0.469439i	$0.844456\pi$
$102$	−6.06080	+	2.51551i	−0.600108	+	0.249073i
$103$		−	19.4350i		−	1.91499i	−0.288452	−	0.957494i	$-0.593141\pi$
$103$		−	19.4350i		−	1.91499i	0.288452	−	0.957494i	$-0.406859\pi$
$104$	1.50533	−	0.201448i	0.147610	−	0.0197536i
$105$		−	3.74175i		−	0.365158i
$106$	0.553134	+	0.0724215i	0.0537251	+	0.00703420i
$107$	14.8325	−	8.56353i	1.43391	−	0.827867i	0.436492	−	0.899708i	$-0.356221\pi$
$107$	14.8325	−	8.56353i	1.43391	−	0.827867i	0.997416	+	0.0718408i	$0.0228873\pi$
$108$	−5.23556	−	5.22070i	−0.503792	−	0.502362i
$109$	6.06885	−	10.5116i	0.581291	−	1.00683i	−0.414036	−	0.910261i	$-0.635881\pi$
$109$	6.06885	−	10.5116i	0.581291	−	1.00683i	0.995327	−	0.0965646i	$-0.0307854\pi$
$110$	−10.9709	+	14.3186i	−1.04603	+	1.36522i
$111$	−2.06852	−	3.47754i	−0.196335	−	0.330074i
$112$	−6.04622	+	3.51375i	−0.571314	+	0.332018i
$113$	−17.7214	−	10.2315i	−1.66709	−	0.962496i	−0.969194	−	0.246300i	$-0.920785\pi$
$113$	−17.7214	−	10.2315i	−1.66709	−	0.962496i	−0.697899	−	0.716196i	$-0.745881\pi$
$114$	−4.13854	−	0.541856i	−0.387609	−	0.0507495i
$115$	−5.98794	+	3.45714i	−0.558378	+	0.322380i
$116$	5.31387	−	5.32900i	0.493380	−	0.494785i
$117$	−1.37328			−0.126960
$118$	−1.56659	+	11.9651i	−0.144216	+	1.10148i
$119$		−	12.1951i		−	1.11792i
$120$	4.79475	−	3.69541i	0.437699	−	0.337344i
$121$	−4.71561			−0.428692
$122$	1.36471	+	1.04564i	0.123555	+	0.0946675i
$123$	−1.96641	−	1.13531i	−0.177305	−	0.102367i
$124$	−2.77144	−	2.76357i	−0.248883	−	0.248176i
$125$	1.13302			0.101340
$126$	5.84021	−	2.42396i	0.520287	−	0.215943i
$127$	−10.1083	+	17.5081i	−0.896966	+	1.55359i	−0.0656145	+	0.997845i	$0.520901\pi$
$127$	−10.1083	+	17.5081i	−0.896966	+	1.55359i	−0.831352	+	0.555746i	$0.812433\pi$
$128$	−10.4739	−	4.27750i	−0.925772	−	0.378081i
$129$	4.07787	−	2.35436i	0.359036	−	0.207290i
$130$	0.317189	−	2.42260i	0.0278193	−	0.212476i
$131$	10.5939	−	18.3492i	0.925595	−	1.60318i	0.134995	−	0.990846i	$-0.456898\pi$
$131$	10.5939	−	18.3492i	0.925595	−	1.60318i	0.790601	−	0.612332i	$-0.209768\pi$
$132$	5.09631	+	1.35779i	0.443577	+	0.118180i
$133$	3.87838	−	6.71754i	0.336298	−	0.582485i
$134$	−7.20165	+	9.39920i	−0.622128	+	0.811967i
$135$	−10.3010	+	5.94726i	−0.886565	+	0.511859i
$136$	15.6270	−	12.0440i	1.34000	−	1.03277i
$137$	−13.9717			−1.19368			−0.596842	−	0.802359i	$-0.703578\pi$
$137$	−13.9717			−1.19368			−0.596842	+	0.802359i	$0.703578\pi$
$138$	1.60473	+	1.22954i	0.136604	+	0.104665i
$139$	5.37160	+	3.10130i	0.455613	+	0.263048i	0.710198	−	0.704002i	$-0.248605\pi$
$139$	5.37160	+	3.10130i	0.455613	+	0.263048i	−0.254585	+	0.967050i	$0.581939\pi$
$140$	2.92717	+	10.8625i	0.247391	+	0.918053i
$141$	−4.62222	+	2.66864i	−0.389261	+	0.224740i
$142$	−5.71119	−	4.37590i	−0.479273	−	0.367218i
$143$	1.84348	−	1.06433i	0.154159	−	0.0890040i
$144$	8.87399	+	5.08981i	0.739499	+	0.424151i
$145$	−6.05340	−	10.4848i	−0.502707	−	0.870714i
$146$	3.01558	−	1.25160i	0.249571	−	0.103584i
$147$			2.62324i			0.216362i
$148$	8.72553	+	8.47733i	0.717234	+	0.696832i
$149$			18.5130i			1.51664i	0.651882	+	0.758321i	$0.273980\pi$
$149$			18.5130i			1.51664i	−0.651882	+	0.758321i	$0.726020\pi$
$150$	−1.93009	−	4.65031i	−0.157592	−	0.379696i
$151$	4.09172	+	7.08706i	0.332979	+	0.576737i	0.983095	−	0.183099i	$-0.0586128\pi$
$151$	4.09172	+	7.08706i	0.332979	+	0.576737i	−0.650115	+	0.759835i	$0.725279\pi$
$152$	12.4383	−	1.66453i	1.00888	−	0.135011i
$153$	−15.4498	+	8.91997i	−1.24905	+	0.721137i
$154$	−5.96120	+	7.78023i	−0.480367	+	0.626949i
$155$	−5.45280	+	3.14818i	−0.437980	+	0.252868i
$156$	−0.689765	+	0.185873i	−0.0552254	+	0.0148818i
$157$	−10.6805	−	6.16641i	−0.852400	−	0.492133i	0.00906013	−	0.999959i	$-0.497116\pi$
$157$	−10.6805	−	6.16641i	−0.852400	−	0.492133i	−0.861460	+	0.507826i	$0.830449\pi$
$158$	−2.03390	+	2.65453i	−0.161808	+	0.211183i
$159$	−0.262396			−0.0208094
$160$	−11.0285	+	14.4789i	−0.871883	+	1.14466i
$161$	−3.25365	+	1.87850i	−0.256424	+	0.148046i
$162$	−5.85247	−	4.48415i	−0.459813	−	0.352308i
$163$	−3.15252	+	5.46032i	−0.246924	+	0.427685i	−0.962671	−	0.270675i	$-0.912753\pi$
$163$	−3.15252	+	5.46032i	−0.246924	+	0.427685i	0.715747	+	0.698360i	$0.246087\pi$
$164$	6.59677	+	1.75755i	0.515121	+	0.137242i
$165$	4.24231	−	7.34789i	0.330263	−	0.572033i
$166$	2.27745	+	0.298185i	0.176765	+	0.0231437i
$167$	−8.91537	+	5.14729i	−0.689892	+	0.398309i	−0.803572	−	0.595208i	$-0.797070\pi$
$167$	−8.91537	+	5.14729i	−0.689892	+	0.398309i	0.113680	+	0.993517i	$0.463736\pi$
$168$	2.60531	−	2.00797i	0.201004	−	0.154918i
$169$	6.35584	−	11.0086i	0.488911	−	0.846818i
$170$	−12.1672	−	29.3152i	−0.933181	−	2.24838i
$171$	−11.3472			−0.867742
$172$	−9.99649	+	10.0250i	−0.762226	+	0.764396i
$173$	0.0102715	+	0.00593025i	0.000780928	+	0.000450869i	0.500390	−	0.865800i	$-0.333190\pi$
$173$	0.0102715	+	0.00593025i	0.000780928	+	0.000450869i	−0.499609	+	0.866251i	$0.666523\pi$
$174$	−2.15290	+	2.80985i	−0.163211	+	0.213014i
$175$	9.35700			0.707323
$176$	−15.8571	+	0.0450893i	−1.19527	+	0.00339874i
$177$		−	5.67603i		−	0.426637i
$178$	21.0637	+	2.75785i	1.57879	+	0.206710i
$179$	6.51910			0.487260			0.243630	−	0.969868i	$-0.421662\pi$
$179$	6.51910			0.487260			0.243630	+	0.969868i	$0.421662\pi$
$180$	11.6206	−	11.6537i	0.866150	−	0.868616i
$181$	−10.1065	+	5.83497i	−0.751207	+	0.433710i	−0.826130	−	0.563480i	$-0.809462\pi$
$181$	−10.1065	+	5.83497i	−0.751207	+	0.433710i	0.0749228	+	0.997189i	$0.476129\pi$
$182$	0.172350	−	1.31636i	0.0127754	−	0.0975751i
$183$	−0.700331	−	0.404336i	−0.0517700	−	0.0298894i
$184$	−5.62049	−	2.31405i	−0.414348	−	0.170594i
$185$	16.8204	−	10.0052i	1.23666	−	0.735594i
$186$	1.46131	+	1.11966i	0.107149	+	0.0820972i
$187$	13.8265	−	23.9482i	1.01109	−	1.75126i
$188$	11.3309	−	11.3632i	0.826392	−	0.828746i
$189$	−5.59720	+	3.23155i	−0.407136	+	0.235060i
$190$	2.62088	−	20.0175i	0.190139	−	1.45222i
$191$		−	8.67149i		−	0.627447i	−0.949514	−	0.313724i	$-0.898423\pi$
$191$		−	8.67149i		−	0.627447i	0.949514	−	0.313724i	$-0.101577\pi$
$192$	5.14609	+	1.35539i	0.371387	+	0.0978170i
$193$			0.312961i			0.0225274i	0.999937	+	0.0112637i	$0.00358542\pi$
$193$			0.312961i			0.0225274i	−0.999937	+	0.0112637i	$0.996415\pi$
$194$	9.09839	+	21.9214i	0.653226	+	1.57386i
$195$			1.14923i			0.0822984i
$196$	−2.05216	−	7.61544i	−0.146583	−	0.543960i
$197$	4.59066	+	2.65042i	0.327071	+	0.188834i	0.654540	−	0.756027i	$-0.272862\pi$
$197$	4.59066	+	2.65042i	0.327071	+	0.188834i	−0.327469	+	0.944862i	$0.606196\pi$
$198$	14.2170	+	1.86142i	1.01036	+	0.132285i
$199$			1.44071i			0.102129i	0.998695	+	0.0510647i	$0.0162615\pi$
$199$			1.44071i			0.102129i	−0.998695	+	0.0510647i	$0.983739\pi$
$200$	9.24111	+	11.9902i	0.653445	+	0.847837i
$201$	2.78480	−	4.82341i	0.196425	−	0.340217i
$202$	5.11528	+	12.3246i	0.359910	+	0.867155i
$203$	−3.28922	−	5.69709i	−0.230858	−	0.399857i
$204$	−6.55276	+	6.57142i	−0.458785	+	0.460091i
$205$	5.49133	−	9.51127i	0.383531	−	0.664296i
$206$	−10.5362	−	25.3856i	−0.734092	−	1.76870i
$207$	4.75970	+	2.74802i	0.330822	+	0.191000i
$208$	1.85702	−	1.07920i	0.128761	−	0.0748294i
$209$	15.2324	−	8.79442i	1.05365	−	0.608322i
$210$	−2.02850	−	4.88740i	−0.139980	−	0.337262i
$211$			15.6762i			1.07920i	0.841923	+	0.539598i	$0.181424\pi$
$211$			15.6762i			1.07920i	−0.841923	+	0.539598i	$0.818576\pi$
$212$	0.761753	−	0.205272i	0.0523174	−	0.0140982i
$213$	2.93083	+	1.69211i	0.200817	+	0.115942i
$214$	14.7313	−	19.2265i	1.00701	−	1.31430i
$215$	11.3877	+	19.7241i	0.776635	+	1.34517i
$216$	−9.66884	−	3.98083i	−0.657881	−	0.270861i
$217$	−2.96288	+	1.71062i	−0.201133	+	0.116124i
$218$	2.22842	−	17.0200i	0.150928	−	1.15274i
$219$	−1.32999	+	0.767873i	−0.0898727	+	0.0518880i
$220$	−6.56744	+	24.6502i	−0.442777	+	1.66191i
$221$			3.74557i			0.251954i
$222$	−4.58712	−	3.42090i	−0.307867	−	0.229595i
$223$	−28.4767			−1.90694			−0.953470	−	0.301489i	$-0.902516\pi$
$223$	−28.4767			−1.90694			−0.953470	+	0.301489i	$0.902516\pi$
$224$	−5.99255	+	7.86738i	−0.400394	+	0.525662i
$225$	−6.84408	−	11.8543i	−0.456272	−	0.790287i
$226$	−28.6941	−	3.75690i	−1.90870	−	0.249905i
$227$	3.36734	+	5.83241i	0.223499	+	0.387111i	0.955868	−	0.293797i	$-0.0949189\pi$
$227$	3.36734	+	5.83241i	0.223499	+	0.387111i	−0.732369	+	0.680908i	$0.761586\pi$
$228$	−5.69942	+	1.53584i	−0.377453	+	0.101714i
$229$	1.22233	−	0.705713i	0.0807739	−	0.0466348i	−0.459069	−	0.888401i	$-0.651817\pi$
$229$	1.22233	−	0.705713i	0.0807739	−	0.0466348i	0.539843	+	0.841766i	$0.318484\pi$
$230$	−5.94712	+	7.76185i	−0.392141	+	0.511801i
$231$	2.30513	−	3.99260i	0.151667	−	0.262694i
$232$	4.05187	−	9.84140i	0.266018	−	0.646119i
$233$	14.9990			0.982614			0.491307	−	0.870986i	$-0.336519\pi$
$233$	14.9990			0.982614			0.491307	+	0.870986i	$0.336519\pi$
$234$	−1.79375	+	0.744490i	−0.117261	+	0.0486688i
$235$	−12.9078	−	22.3570i	−0.842015	−	1.45841i
$236$	4.44036	+	16.4779i	0.289043	+	1.07262i
$237$	0.786486	−	1.36223i	0.0510878	−	0.0884866i
$238$	−6.61125	−	15.9289i	−0.428544	−	1.03252i
$239$	16.6264	+	9.59926i	1.07547	+	0.620925i	0.929672	−	0.368389i	$-0.120091\pi$
$239$	16.6264	+	9.59926i	1.07547	+	0.620925i	0.145802	+	0.989314i	$0.453424\pi$
$240$	4.25942	−	7.42622i	0.274944	−	0.479360i
$241$	−4.33365	+	2.50203i	−0.279155	+	0.161170i	−0.633041	−	0.774119i	$-0.718193\pi$
$241$	−4.33365	+	2.50203i	−0.279155	+	0.161170i	0.353886	+	0.935289i	$0.384860\pi$
$242$	−6.15943	+	2.55645i	−0.395943	+	0.164335i
$243$	12.6080	+	7.27924i	0.808805	+	0.466964i
$244$	2.34942	+	0.625946i	0.150406	+	0.0400721i
$245$	−12.6883			−0.810624
$246$	−3.18396	−	0.416874i	−0.203002	−	0.0265789i
$247$	−1.19120	+	2.06321i	−0.0757940	+	0.131279i
$248$	−5.11820	−	2.10725i	−0.325006	−	0.133810i
$249$	−1.08038			−0.0684663
$250$	1.47992	−	0.614237i	0.0935986	−	0.0388478i
$251$	−3.82856			−0.241657			−0.120828	−	0.992673i	$-0.538555\pi$
$251$	−3.82856			−0.241657			−0.120828	+	0.992673i	$0.538555\pi$
$252$	6.31426	−	6.33224i	0.397761	−	0.398894i
$253$	−8.51917			−0.535596
$254$	−3.71167	+	28.3486i	−0.232891	+	1.77875i
$255$	7.46470	+	12.9292i	0.467458	+	0.809661i
$256$	−15.9997	+	0.0909906i	−0.999984	+	0.00568691i
$257$	0.934828	+	0.539723i	0.0583130	+	0.0336670i	0.528873	−	0.848701i	$-0.322615\pi$
$257$	0.934828	+	0.539723i	0.0583130	+	0.0336670i	−0.470560	+	0.882368i	$0.655948\pi$
$258$	4.05006	−	5.28592i	0.252146	−	0.329087i
$259$	9.13966	−	5.43648i	0.567911	−	0.337806i
$260$	−0.899044	−	3.33630i	−0.0557564	−	0.206908i
$261$	−4.81173	+	8.33416i	−0.297839	+	0.515872i
$262$	3.88999	−	29.7106i	0.240324	−	1.83553i
$263$	9.10932	+	15.7778i	0.561705	+	0.972901i	0.997348	+	0.0727817i	$0.0231876\pi$
$263$	9.10932	+	15.7778i	0.561705	+	0.972901i	−0.435643	+	0.900119i	$0.643479\pi$
$264$	7.39278	−	0.989321i	0.454994	−	0.0608885i
$265$		−	1.26917i		−	0.0779648i
$266$	1.42410	−	10.8769i	0.0873173	−	0.666904i
$267$	−9.99221			−0.611513
$268$	−4.31110	+	16.1812i	−0.263342	+	0.988425i
$269$			27.2251i			1.65994i	0.557806	+	0.829971i	$0.311643\pi$
$269$			27.2251i			1.65994i	−0.557806	+	0.829971i	$0.688357\pi$
$270$	−10.2307	+	13.3526i	−0.622622	+	0.812612i
$271$	−12.7826	+	22.1402i	−0.776489	+	1.34492i	0.157465	+	0.987525i	$0.449668\pi$
$271$	−12.7826	+	22.1402i	−0.776489	+	1.34492i	−0.933954	+	0.357394i	$0.883665\pi$
$272$	13.8823	−	24.2034i	0.841735	−	1.46755i
$273$			0.624456i			0.0377938i
$274$	−18.2495	+	7.57441i	−1.10250	+	0.457587i
$275$	18.3749	+	10.6087i	1.10805	+	0.639731i
$276$	2.76262	+	0.736035i	0.166290	+	0.0443041i
$277$	−5.60469	−	9.70760i	−0.336753	−	0.583273i	0.647067	−	0.762433i	$-0.275995\pi$
$277$	−5.60469	−	9.70760i	−0.336753	−	0.583273i	−0.983820	+	0.179160i	$0.942662\pi$
$278$	8.69756	+	1.13877i	0.521645	+	0.0682986i
$279$	4.33433	+	2.50243i	0.259490	+	0.149816i
$280$	9.71226	+	12.6015i	0.580419	+	0.753085i
$281$	−0.725933	−	0.419117i	−0.0433055	−	0.0250024i	0.478191	−	0.878256i	$-0.341293\pi$
$281$	−0.725933	−	0.419117i	−0.0433055	−	0.0250024i	−0.521496	+	0.853253i	$0.674626\pi$
$282$	−4.59071	+	5.99154i	−0.273373	+	0.356791i
$283$	4.46864	+	7.73991i	0.265633	+	0.460090i	0.967729	−	0.251992i	$-0.0810858\pi$
$283$	4.46864	+	7.73991i	0.265633	+	0.460090i	−0.702096	+	0.712082i	$0.747752\pi$
$284$	−9.83212	−	2.61953i	−0.583429	−	0.155441i
$285$			9.49594i			0.562491i
$286$	1.83091	−	2.38960i	0.108264	−	0.141300i
$287$	2.98381	−	5.16811i	0.176129	−	0.305064i
$288$	14.3503	+	1.83739i	0.845600	+	0.108269i
$289$	15.8289	+	27.4164i	0.931110	+	1.61273i
$290$	−13.5909	−	10.4133i	−0.798084	−	0.611490i
$291$	−5.58196	−	9.66824i	−0.327220	−	0.566762i
$292$	3.26035	−	3.26964i	0.190798	−	0.191341i
$293$	17.2985	−	9.98732i	1.01059	−	0.583465i	0.0992269	−	0.995065i	$-0.468363\pi$
$293$	17.2985	−	9.98732i	1.01059	−	0.583465i	0.911365	+	0.411599i	$0.135030\pi$
$294$	1.42213	+	3.42642i	0.0829401	+	0.199833i
$295$	27.4542			1.59845
$296$	15.9929	+	6.34258i	0.929566	+	0.368655i
$297$	−14.6554			−0.850392
$298$	10.0363	+	24.1812i	0.581390	+	1.40078i
$299$	0.999319	−	0.576957i	0.0577921	−	0.0333663i
$300$	−5.04209	−	5.02778i	−0.291105	−	0.290279i
$301$	6.18771	+	10.7174i	0.356653	+	0.617742i
$302$	9.18658	+	7.03874i	0.528628	+	0.405034i
$303$	−3.13828	−	5.43566i	−0.180289	−	0.312270i
$304$	15.3443	−	8.91730i	0.880055	−	0.511442i
$305$	1.95572	−	3.38741i	0.111984	−	0.193962i
$306$	−15.3445	+	20.0268i	−0.877187	+	1.14486i
$307$			18.8004i			1.07300i	0.843902	+	0.536498i	$0.180253\pi$
$307$			18.8004i			1.07300i	−0.843902	+	0.536498i	$0.819747\pi$
$308$	−3.56853	+	13.3941i	−0.203336	+	0.763199i
$309$	6.46407	+	11.1961i	0.367728	+	0.636924i
$310$	−5.41563	+	7.06818i	−0.307587	+	0.401446i
$311$	7.38592	+	4.26426i	0.418817	+	0.241804i	0.694571	−	0.719424i	$-0.255594\pi$
$311$	7.38592	+	4.26426i	0.418817	+	0.241804i	−0.275754	+	0.961228i	$0.588928\pi$
$312$	−0.800189	+	0.616722i	−0.0453018	+	0.0349150i
$313$	11.9036	+	6.87255i	0.672832	+	0.388460i	0.797149	−	0.603783i	$-0.206341\pi$
$313$	11.9036	+	6.87255i	0.672832	+	0.388460i	−0.124317	+	0.992243i	$0.539674\pi$
$314$	−17.2936	−	2.26425i	−0.975937	−	0.127779i
$315$	−7.19302	−	12.4587i	−0.405281	−	0.701967i
$316$	−1.21755	+	4.56992i	−0.0684923	+	0.257078i
$317$	−18.3949	−	10.6203i	−1.03316	−	0.596494i	−0.115270	−	0.993334i	$-0.536773\pi$
$317$	−18.3949	−	10.6203i	−1.03316	−	0.596494i	−0.917888	+	0.396840i	$0.870107\pi$
$318$	−0.342736	+	0.142251i	−0.0192197	+	0.00797707i
$319$		−	14.9169i		−	0.835188i
$320$	−6.55585	+	24.8909i	−0.366483	+	1.39145i
$321$	−5.69645	+	9.86653i	−0.317945	+	0.550696i
$322$	−3.23147	+	4.21753i	−0.180083	+	0.235034i
$323$			30.9490i			1.72205i
$324$	−10.0753	−	2.68433i	−0.559741	−	0.149129i
$325$	−2.87389			−0.159415
$326$	−1.15757	+	8.84121i	−0.0641121	+	0.489669i
$327$			8.07399i			0.446492i
$328$	9.56937	−	1.28060i	0.528380	−	0.0707092i
$329$	−7.01370	−	12.1481i	−0.386678	−	0.669746i
$330$	1.55773	−	11.8975i	0.0857505	−	0.654937i
$331$	1.16160	−	2.01196i	0.0638475	−	0.110587i	−0.832335	−	0.554273i	$-0.812996\pi$
$331$	1.16160	−	2.01196i	0.0638475	−	0.110587i	0.896182	+	0.443686i	$0.146330\pi$
$332$	3.13641	−	0.845180i	0.172133	−	0.0463853i
$333$	−13.5725	−	7.60250i	−0.743771	−	0.416614i
$334$	−8.85459	+	11.5565i	−0.484501	+	0.632345i
$335$	23.3302	+	13.4697i	1.27466	+	0.735928i
$336$	2.31443	−	4.03516i	0.126263	−	0.220136i
$337$	−11.5021	−	19.9223i	−0.626562	−	1.08524i	−0.988237	−	0.152932i	$-0.951128\pi$
$337$	−11.5021	−	19.9223i	−0.626562	−	1.08524i	0.361675	−	0.932304i	$-0.382205\pi$
$338$	2.33380	−	17.8249i	0.126942	−	0.969546i
$339$	13.6119			0.739298
$340$	−31.7850	−	31.6948i	−1.72379	−	1.71889i
$341$	−7.75782			−0.420110
$342$	−14.8215	+	6.15160i	−0.801453	+	0.332640i
$343$	−19.1323			−1.03305
$344$	−7.62242	+	18.5137i	−0.410973	+	0.998193i
$345$	2.29968	−	3.98317i	0.123811	−	0.214447i
$346$	0.0166313	+	0.00217753i	0.000894106	+	0.000117065i
$347$	−2.24275			−0.120397			−0.0601985	−	0.998186i	$-0.519173\pi$
$347$	−2.24275			−0.120397			−0.0601985	+	0.998186i	$0.519173\pi$
$348$	−1.28879	+	4.83731i	−0.0690861	+	0.259307i
$349$	−5.18368	−	2.99280i	−0.277476	−	0.160201i	0.354804	−	0.934941i	$-0.384548\pi$
$349$	−5.18368	−	2.99280i	−0.277476	−	0.160201i	−0.632280	+	0.774740i	$0.717881\pi$
$350$	12.2219	−	5.07266i	0.653288	−	0.271145i
$351$	1.71911	−	0.992530i	0.0917594	−	0.0529773i
$352$	−20.6878	+	8.65542i	−1.10266	+	0.461336i
$353$	15.1608	+	8.75311i	0.806929	+	0.465881i	0.845888	−	0.533360i	$-0.179071\pi$
$353$	15.1608	+	8.75311i	0.806929	+	0.465881i	−0.0389590	+	0.999241i	$0.512404\pi$
$354$	−3.07712	−	7.41391i	−0.163547	−	0.394045i
$355$	−8.18453	+	14.1760i	−0.434390	+	0.752385i
$356$	29.0080	−	7.81689i	1.53742	−	0.414294i
$357$	4.05608	+	7.02533i	0.214670	+	0.371820i
$358$	8.51511	−	3.53417i	0.450037	−	0.186786i
$359$	19.4248			1.02520			0.512601	−	0.858627i	$-0.328682\pi$
$359$	19.4248			1.02520			0.512601	+	0.858627i	$0.328682\pi$
$360$	8.86083	−	21.5216i	0.467007	−	1.13429i
$361$	−0.342662	+	0.593508i	−0.0180348	+	0.0312373i
$362$	−10.0376	+	13.1005i	−0.527562	+	0.688545i
$363$	2.71657	−	1.56841i	0.142583	−	0.0823202i
$364$	−0.488511	−	1.81284i	−0.0256049	−	0.0950184i
$365$	−3.71410	−	6.43300i	−0.194405	−	0.336719i
$366$	−1.13396	−	0.148468i	−0.0592729	−	0.00776057i
$367$	−14.3982	−	24.9385i	−0.751582	−	1.30178i	−0.947056	−	0.321070i	$-0.895958\pi$
$367$	−14.3982	−	24.9385i	−0.751582	−	1.30178i	0.195473	−	0.980709i	$-0.437376\pi$
$368$	−8.59587	+	0.0244422i	−0.448091	+	0.00127414i
$369$	−8.72991			−0.454461
$370$	16.5464	−	22.1873i	0.860207	−	1.15346i
$371$		−	0.689628i		−	0.0358037i
$372$	2.51573	+	0.670256i	0.130435	+	0.0347512i
$373$	−27.3585	+	15.7955i	−1.41657	+	0.817857i	−0.995996	−	0.0894004i	$-0.971505\pi$
$373$	−27.3585	+	15.7955i	−1.41657	+	0.817857i	−0.420575	+	0.907258i	$0.638172\pi$
$374$	5.07695	−	38.7762i	0.262523	−	2.00507i
$375$	−0.652708	+	0.376841i	−0.0337057	+	0.0194600i
$376$	8.63994	−	20.9851i	0.445571	−	1.08222i
$377$	1.01024	+	1.74979i	0.0520302	+	0.0901189i
$378$	−5.55904	+	7.25536i	−0.285926	+	0.373175i
$379$	−9.61823	−	5.55309i	−0.494055	−	0.285243i	0.232200	−	0.972668i	$-0.425408\pi$
$379$	−9.61823	−	5.55309i	−0.494055	−	0.285243i	−0.726255	+	0.687425i	$0.758741\pi$
$380$	−7.42866	−	27.5673i	−0.381082	−	1.41417i
$381$		−	13.4481i		−	0.688965i
$382$	−4.70103	−	11.3265i	−0.240526	−	0.579515i
$383$	−19.6991	+	11.3733i	−1.00657	+	0.581146i	−0.910187	−	0.414198i	$-0.864062\pi$
$383$	−19.6991	+	11.3733i	−1.00657	+	0.581146i	−0.0963879	+	0.995344i	$0.530729\pi$
$384$	7.45650	−	1.01944i	0.380513	−	0.0520230i
$385$	19.3117	+	11.1496i	0.984214	+	0.568236i
$386$	0.169664	+	0.408782i	0.00863566	+	0.0208065i
$387$	9.05188	−	15.6783i	0.460133	−	0.796973i
$388$	23.7682	+	23.7007i	1.20665	+	1.20322i
$389$	−17.6210	−	30.5205i	−0.893422	−	1.54745i	−0.835746	−	0.549116i	$-0.814964\pi$
$389$	−17.6210	−	30.5205i	−0.893422	−	1.54745i	−0.0576756	−	0.998335i	$-0.518369\pi$
$390$	0.623028	+	1.50110i	0.0315483	+	0.0760114i
$391$	7.49510	−	12.9819i	0.379044	−	0.656523i
$392$	−6.80901	−	8.83460i	−0.343907	−	0.446215i
$393$			14.0941i			0.710955i
$394$	7.43307	+	0.973208i	0.374473	+	0.0490295i
$395$	6.58894	+	3.80413i	0.331526	+	0.191406i
$396$	19.5790	−	5.27603i	0.983883	−	0.265130i
$397$			12.7424i			0.639525i	0.947498	+	0.319762i	$0.103603\pi$
$397$			12.7424i			0.639525i	−0.947498	+	0.319762i	$0.896397\pi$
$398$	0.781046	+	1.88183i	0.0391503	+	0.0943275i
$399$			5.15978i			0.258312i
$400$	18.5707	+	10.6515i	0.928537	+	0.532576i
$401$		−	30.4901i		−	1.52260i	−0.648397	−	0.761302i	$-0.724560\pi$
$401$		−	30.4901i		−	1.52260i	0.648397	−	0.761302i	$-0.275440\pi$
$402$	1.02255	−	7.80995i	0.0510002	−	0.389525i
$403$	0.910011	−	0.525395i	0.0453309	−	0.0261718i
$404$	13.3629	+	13.3250i	0.664831	+	0.662943i
$405$	−8.38698	+	14.5267i	−0.416752	+	0.721836i
$406$	−7.38484	−	5.65825i	−0.366503	−	0.280814i
$407$	24.1118	−	0.313594i	1.19518	−	0.0155443i
$408$	−4.99654	+	12.1358i	−0.247366	+	0.600814i
$409$	−15.5770	−	8.99336i	−0.770231	−	0.444693i	0.0627259	−	0.998031i	$-0.480021\pi$
$409$	−15.5770	−	8.99336i	−0.770231	−	0.444693i	−0.832957	+	0.553338i	$0.813354\pi$
$410$	2.01636	−	15.4004i	0.0995811	−	0.760571i
$411$	8.04881	−	4.64698i	0.397019	−	0.229219i
$412$	−27.5243	−	27.4462i	−1.35603	−	1.35217i
$413$	14.9177			0.734053
$414$	7.70679	+	1.00904i	0.378768	+	0.0495918i
$415$		−	5.22565i		−	0.256517i
$416$	1.84054	−	2.41637i	0.0902398	−	0.118472i
$417$	−4.12596			−0.202049
$418$	15.1285	−	19.7449i	0.739960	−	0.965755i
$419$	1.87998	+	1.08540i	0.0918428	+	0.0530255i	0.545218	−	0.838294i	$-0.316447\pi$
$419$	1.87998	+	1.08540i	0.0918428	+	0.0530255i	−0.453375	+	0.891320i	$0.649780\pi$
$420$	−5.29916	−	5.28411i	−0.258572	−	0.257838i
$421$	34.8774			1.69982			0.849910	−	0.526928i	$-0.176656\pi$
$421$	34.8774			1.69982			0.849910	+	0.526928i	$0.176656\pi$
$422$	8.49847	+	20.4759i	0.413699	+	0.996753i
$423$	−10.2602	+	17.7712i	−0.498868	+	0.864065i
$424$	0.883701	−	0.681087i	0.0429163	−	0.0330765i
$425$	−32.3321	+	18.6670i	−1.56834	+	0.905481i
$426$	4.74552	+	0.621328i	0.229921	+	0.0301034i
$427$	1.06267	−	1.84061i	0.0514264	−	0.0890731i
$428$	8.81856	−	33.0995i	0.426261	−	1.59992i
$429$	−0.707993	+	1.22628i	−0.0341822	+	0.0592053i
$430$	25.5673	+	19.5896i	1.23296	+	0.944695i
$431$	−19.7952	+	11.4288i	−0.953502	+	0.550505i	−0.894167	−	0.447733i	$-0.852231\pi$
$431$	−19.7952	+	11.4288i	−0.953502	+	0.550505i	−0.0593350	+	0.998238i	$0.518898\pi$
$432$	−14.7873	+	0.0420475i	−0.711456	+	0.00202301i
$433$	3.06108			0.147106			0.0735529	−	0.997291i	$-0.476566\pi$
$433$	3.06108			0.147106			0.0735529	+	0.997291i	$0.476566\pi$
$434$	−2.94267	+	3.84062i	−0.141253	+	0.184356i
$435$	6.97447	+	4.02671i	0.334400	+	0.193066i
$436$	−6.31627	−	23.4393i	−0.302494	−	1.12254i
$437$	8.25722	−	4.76731i	0.394996	−	0.228051i
$438$	−1.32093	+	1.72400i	−0.0631163	+	0.0823760i
$439$	21.7928	−	12.5821i	1.04011	−	0.600510i	0.120249	−	0.992744i	$-0.461631\pi$
$439$	21.7928	−	12.5821i	1.04011	−	0.600510i	0.919866	+	0.392233i	$0.128297\pi$
$440$	4.78521	+	35.7579i	0.228126	+	1.70469i
$441$	5.04284	+	8.73445i	0.240135	+	0.415926i
$442$	2.03057	+	4.89238i	0.0965842	+	0.232707i
$443$		−	28.7440i		−	1.36567i	−0.730573	−	0.682835i	$-0.760747\pi$
$443$		−	28.7440i		−	1.36567i	0.730573	−	0.682835i	$-0.239253\pi$
$444$	−7.84615	−	1.98151i	−0.372362	−	0.0940381i
$445$		−	48.3309i		−	2.29111i
$446$	−37.1956	+	15.4379i	−1.76126	+	0.731006i
$447$	−6.15740	−	10.6649i	−0.291235	−	0.504434i
$448$	−3.56223	+	13.5249i	−0.168300	+	0.638992i
$449$	−9.07421	+	5.23900i	−0.428238	+	0.247244i	−0.698596	−	0.715516i	$-0.746191\pi$
$449$	−9.07421	+	5.23900i	−0.428238	+	0.247244i	0.270357	+	0.962760i	$0.412858\pi$
$450$	−15.3661	−	11.7735i	−0.724365	−	0.555007i
$451$	11.7190	−	6.76594i	0.551824	−	0.318596i
$452$	−39.5163	+	10.6486i	−1.85869	+	0.500868i
$453$	−4.71430	−	2.72180i	−0.221497	−	0.127881i
$454$	7.56025	+	5.79265i	0.354820	+	0.271862i
$455$	−3.02041			−0.141599
$456$	−6.61184	+	5.09588i	−0.309628	+	0.238636i
$457$	17.5624	−	10.1397i	0.821535	−	0.474314i	−0.0294104	−	0.999567i	$-0.509363\pi$
$457$	17.5624	−	10.1397i	0.821535	−	0.474314i	0.850946	+	0.525254i	$0.176030\pi$
$458$	1.21400	−	1.58444i	0.0567264	−	0.0740362i
$459$	12.8937	−	22.3325i	0.601827	−	1.04239i
$460$	−3.56010	+	13.3624i	−0.165991	+	0.623027i
$461$	−6.46253	+	11.1934i	−0.300990	+	0.521330i	−0.976360	−	0.216149i	$-0.930650\pi$
$461$	−6.46253	+	11.1934i	−0.300990	+	0.521330i	0.675370	+	0.737479i	$0.263984\pi$
$462$	0.846422	−	6.46472i	0.0393791	−	0.300766i
$463$	−26.4239	+	15.2559i	−1.22802	+	0.709000i	−0.966616	−	0.256228i	$-0.917520\pi$
$463$	−26.4239	+	15.2559i	−1.22802	+	0.709000i	−0.261408	+	0.965228i	$0.584187\pi$
$464$	−0.0427979	−	15.0512i	−0.00198684	−	0.698736i
$465$	2.09416	−	3.62720i	0.0971145	−	0.168207i
$466$	19.5913	−	8.13131i	0.907550	−	0.376675i
$467$	−17.2988			−0.800493			−0.400247	−	0.916407i	$-0.631076\pi$
$467$	−17.2988			−0.800493			−0.400247	+	0.916407i	$0.631076\pi$
$468$	−1.93935	+	1.94487i	−0.0896465	+	0.0899017i
$469$	12.6769	+	7.31899i	0.585363	+	0.337960i
$470$	−28.9803	−	22.2046i	−1.33676	−	1.02422i
$471$	8.20378			0.378010
$472$	14.7330	+	19.1158i	0.678140	+	0.879877i
$473$			28.0619i			1.29029i
$474$	0.288790	−	2.20569i	0.0132646	−	0.101311i
$475$	−23.7465			−1.08956
$476$	−17.2709	−	17.2219i	−0.791613	−	0.789365i
$477$	−0.873684	+	0.504422i	−0.0400032	+	0.0230959i
$478$	26.9211	+	3.52476i	1.23134	+	0.161219i
$479$	−7.72894	−	4.46231i	−0.353144	−	0.203888i	0.312925	−	0.949778i	$-0.398691\pi$
$479$	−7.72894	−	4.46231i	−0.353144	−	0.203888i	−0.666069	+	0.745890i	$0.732024\pi$
$480$	1.53762	−	12.0091i	0.0701826	−	0.548138i
$481$	−2.80713	+	1.66975i	−0.127994	+	0.0761339i
$482$	−4.30410	+	5.61748i	−0.196046	+	0.255869i
$483$	1.24957	−	2.16432i	0.0568575	−	0.0984802i
$484$	−6.65940	+	6.67836i	−0.302700	+	0.303562i
$485$	46.7639	−	26.9992i	2.12344	−	1.22597i
$486$	20.4146	+	2.67287i	0.926024	+	0.121244i
$487$		−	3.82200i		−	0.173192i	−0.996244	−	0.0865958i	$-0.972401\pi$
$487$		−	3.82200i		−	0.173192i	0.996244	−	0.0865958i	$-0.0275989\pi$
$488$	3.40810	−	0.456081i	0.154277	−	0.0206458i
$489$		−	4.19410i		−	0.189664i
$490$	−16.5731	+	6.87863i	−0.748698	+	0.310745i
$491$		−	15.1520i		−	0.683800i	−0.939736	−	0.341900i	$-0.888930\pi$
$491$		−	15.1520i		−	0.683800i	0.939736	−	0.341900i	$-0.111070\pi$
$492$	−4.38482	+	1.18159i	−0.197683	+	0.0532703i
$493$	22.7311	+	13.1238i	1.02376	+	0.591067i
$494$	−0.437396	+	3.34070i	−0.0196794	+	0.150305i
$495$		−	32.6211i		−	1.46621i
$496$	−7.82767	+	0.0222578i	−0.351473	+	0.000999405i
$497$	−4.44720	+	7.70278i	−0.199484	+	0.345517i
$498$	−1.41117	+	0.585701i	−0.0632360	+	0.0262459i
$499$	17.5853	+	30.4586i	0.787224	+	1.36351i	0.927661	+	0.373423i	$0.121816\pi$
$499$	17.5853	+	30.4586i	0.787224	+	1.36351i	−0.140437	+	0.990090i	$0.544851\pi$
$500$	1.60005	−	1.60461i	0.0715564	−	0.0717602i
$501$	3.42397	−	5.93049i	0.152972	−	0.264955i
$502$	−5.00078	+	2.07556i	−0.223196	+	0.0926367i
$503$	−25.9312	−	14.9714i	−1.15621	−	0.667540i	−0.205820	−	0.978590i	$-0.565986\pi$
$503$	−25.9312	−	14.9714i	−1.15621	−	0.667540i	−0.950394	+	0.311050i	$0.899319\pi$
$504$	4.81469	−	11.6942i	0.214463	−	0.520899i
$505$	26.2915	−	15.1794i	1.16996	−	0.675476i
$506$	−11.1276	+	4.61845i	−0.494680	+	0.205315i
$507$			8.45579i			0.375535i
$508$	10.5204	+	39.0405i	0.466767	+	1.73214i
$509$	23.3484	+	13.4802i	1.03490	+	0.597498i	0.918384	−	0.395691i	$-0.129495\pi$
$509$	23.3484	+	13.4802i	1.03490	+	0.597498i	0.116514	+	0.993189i	$0.462828\pi$
$510$	16.7595	+	12.8411i	0.742123	+	0.568613i
$511$	−2.01812	−	3.49548i	−0.0892763	−	0.154631i
$512$	−20.8492	+	8.79271i	−0.921412	+	0.388586i
$513$	14.2048	−	8.20112i	0.627155	−	0.362088i
$514$	1.51365	+	0.198181i	0.0667642	+	0.00874140i
$515$	−54.1540	+	31.2658i	−2.38631	+	1.37774i
$516$	2.42448	−	9.10000i	0.106732	−	0.400605i
$517$		−	31.8078i		−	1.39891i
$518$	8.99077	−	12.0558i	0.395032	−	0.529703i
$519$	−0.00788959			−0.000346315
$520$	−2.98300	−	3.87041i	−0.130813	−	0.169729i
$521$	−16.2452	−	28.1374i	−0.711713	−	1.23272i	−0.964214	−	0.265127i	$-0.914586\pi$
$521$	−16.2452	−	28.1374i	−0.711713	−	1.23272i	0.252500	−	0.967597i	$-0.418747\pi$
$522$	−1.76682	+	13.4945i	−0.0773316	+	0.590636i
$523$	2.09888	+	3.63538i	0.0917778	+	0.158964i	0.908259	−	0.418408i	$-0.137412\pi$
$523$	2.09888	+	3.63538i	0.0917778	+	0.158964i	−0.816481	+	0.577372i	$0.804078\pi$
$524$	−11.0258	−	40.9161i	−0.481665	−	1.78743i
$525$	−5.39037	+	3.11213i	−0.235255	+	0.135825i
$526$	20.4519	+	15.6702i	0.891747	+	0.683255i
$527$	6.82527	−	11.8217i	0.297314	−	0.514962i
$528$	9.11995	−	5.30004i	0.396895	−	0.230655i
$529$	18.3819			0.799213
$530$	−0.688051	−	1.65777i	−0.0298870	−	0.0720088i
$531$	−10.9114	−	18.8991i	−0.473515	−	0.820152i
$532$	−4.03649	−	14.9792i	−0.175004	−	0.649429i
$533$	−0.916441	+	1.58732i	−0.0396955	+	0.0687546i
$534$	−13.0516	+	5.41702i	−0.564798	+	0.234418i
$535$	−47.7231	−	27.5529i	−2.06325	−	1.19122i
$536$	3.14118	+	23.4727i	0.135678	+	1.01387i
$537$	−3.75552	+	2.16825i	−0.162063	+	0.0935668i
$538$	14.7594	+	35.5608i	0.636323	+	1.53314i
$539$	−13.5389	−	7.81669i	−0.583162	−	0.336689i
$540$	−6.12438	+	22.9872i	−0.263551	+	0.989211i
$541$	6.09226			0.261927			0.130963	−	0.991387i	$-0.458193\pi$
$541$	6.09226			0.261927			0.130963	+	0.991387i	$0.458193\pi$
$542$	−4.69365	+	35.8488i	−0.201610	+	1.53984i
$543$	3.88141	−	6.72280i	0.166567	−	0.288503i
$544$	5.01141	−	39.1399i	0.214862	−	1.67811i
$545$	−39.0528			−1.67284
$546$	0.338533	+	0.815651i	0.0144879	+	0.0349066i
$547$	−18.1398			−0.775601			−0.387800	−	0.921743i	$-0.626765\pi$
$547$	−18.1398			−0.775601			−0.387800	+	0.921743i	$0.626765\pi$
$548$	−19.7309	+	19.7871i	−0.842861	+	0.845262i
$549$	−3.10913			−0.132694
$550$	29.7521	+	3.89542i	1.26863	+	0.166101i
$551$	8.34748	+	14.4583i	0.355614	+	0.615942i
$552$	4.00750	−	0.536295i	0.170571	−	0.0228262i
$553$	3.58021	+	2.06704i	0.152246	+	0.0878994i
$554$	−12.5834	−	9.64141i	−0.534619	−	0.409624i
$555$	−6.36217	+	11.3582i	−0.270059	+	0.482130i
$556$	11.9779	−	3.22773i	0.507977	−	0.136886i
$557$	0.461524	−	0.799383i	0.0195554	−	0.0338709i	−0.856082	−	0.516840i	$-0.827108\pi$
$557$	0.461524	−	0.799383i	0.0195554	−	0.0338709i	0.875637	+	0.482969i	$0.160442\pi$
$558$	7.01804	+	0.918867i	0.297097	+	0.0388988i
$559$	−1.90048	−	3.29173i	−0.0803817	−	0.139225i
$560$	19.5175	+	11.1946i	0.824767	+	0.473057i
$561$			18.3947i			0.776625i
$562$	−1.17541	−	0.153896i	−0.0495817	−	0.00649170i
$563$	−18.9829			−0.800032			−0.400016	−	0.916508i	$-0.630995\pi$
$563$	−18.9829			−0.800032			−0.400016	+	0.916508i	$0.630995\pi$
$564$	−2.74812	+	10.3148i	−0.115717	+	0.434329i
$565$			65.8390i			2.76987i
$566$	10.0328	+	7.68713i	0.421711	+	0.323114i
$567$	−4.55721	+	7.89332i	−0.191385	+	0.331488i
$568$	−14.2626	+	1.90866i	−0.598446	+	0.0800856i
$569$		−	25.1360i		−	1.05375i	−0.849942	−	0.526877i	$-0.823363\pi$
$569$		−	25.1360i		−	1.05375i	0.849942	−	0.526877i	$-0.176637\pi$
$570$	5.14798	+	12.4034i	0.215625	+	0.519521i
$571$	27.1520	+	15.6762i	1.13628	+	0.656030i	0.945506	−	0.325604i	$-0.105568\pi$
$571$	27.1520	+	15.6762i	1.13628	+	0.656030i	0.190772	+	0.981634i	$0.438901\pi$
$572$	1.09603	−	4.11383i	0.0458274	−	0.172008i
$573$	2.88413	+	4.99546i	0.120486	+	0.208688i
$574$	1.09563	−	8.36807i	0.0457305	−	0.349276i
$575$	9.96071	+	5.75082i	0.415390	+	0.239826i
$576$	19.7402	−	5.37970i	0.822507	−	0.224154i
$577$	−8.55780	−	4.94085i	−0.356266	−	0.205690i	0.311176	−	0.950352i	$-0.399277\pi$
$577$	−8.55780	−	4.94085i	−0.356266	−	0.205690i	−0.667442	+	0.744662i	$0.732611\pi$
$578$	35.5384	+	27.2295i	1.47820	+	1.13260i
$579$	−0.104091	−	0.180290i	−0.00432586	−	0.00749260i
$580$	−23.3974	−	6.23368i	−0.971525	−	0.258839i
$581$		−	2.83945i		−	0.117800i
$582$	−12.5324	−	9.60232i	−0.519486	−	0.398029i
$583$	0.781883	−	1.35426i	0.0323823	−	0.0560878i
$584$	2.48605	−	6.03824i	0.102873	−	0.249864i
$585$	2.20925	+	3.82653i	0.0913412	+	0.158208i
$586$	17.1806	−	22.4232i	0.709724	−	0.926293i
$587$	−20.2311	−	35.0412i	−0.835025	−	1.44631i	−0.894010	−	0.448047i	$-0.852120\pi$
$587$	−20.2311	−	35.0412i	−0.835025	−	1.44631i	0.0589852	−	0.998259i	$-0.481214\pi$
$588$	3.71510	+	3.70455i	0.153208	+	0.152773i
$589$	7.51928	−	4.34126i	0.309826	−	0.178878i
$590$	35.8601	−	14.8836i	1.47634	−	0.612748i
$591$	−3.52611			−0.145045
$592$	24.3280	−	0.385596i	0.999874	−	0.0158479i
$593$	6.43804			0.264379			0.132189	−	0.991224i	$-0.457799\pi$
$593$	6.43804			0.264379			0.132189	+	0.991224i	$0.457799\pi$
$594$	−19.1425	+	7.94505i	−0.785428	+	0.325989i
$595$	−33.9806	+	19.6187i	−1.39307	+	0.804287i
$596$	26.2185	+	26.1440i	1.07395	+	1.07090i
$597$	−0.479180	−	0.829964i	−0.0196115	−	0.0339682i
$598$	0.992506	−	1.29536i	0.0405866	−	0.0529714i
$599$	−7.94878	−	13.7677i	−0.324778	−	0.562532i	0.656689	−	0.754161i	$-0.271956\pi$
$599$	−7.94878	−	13.7677i	−0.324778	−	0.562532i	−0.981467	+	0.191629i	$0.938623\pi$
$600$	−9.31155	−	3.83373i	−0.380143	−	0.156511i
$601$	−13.9683	+	24.1938i	−0.569778	+	0.986884i	0.426810	+	0.904341i	$0.359637\pi$
$601$	−13.9683	+	24.1938i	−0.569778	+	0.986884i	−0.996588	+	0.0825425i	$0.973696\pi$
$602$	13.8924	+	10.6444i	0.566213	+	0.433831i
$603$		−	21.4136i		−	0.872030i
$604$	15.8152	+	4.21358i	0.643511	+	0.171448i
$605$	7.58618	+	13.1397i	0.308422	+	0.534203i
$606$	−7.04596	−	5.39860i	−0.286222	−	0.219303i
$607$	8.19892	+	4.73365i	0.332784	+	0.192133i	0.657076	−	0.753824i	$-0.271793\pi$
$607$	8.19892	+	4.73365i	0.332784	+	0.192133i	−0.324292	+	0.945957i	$0.605126\pi$
$608$	15.2081	−	19.9661i	0.616769	−	0.809732i
$609$	3.78970	+	2.18798i	0.153566	+	0.0886615i
$610$	0.718121	−	5.48480i	0.0290759	−	0.222073i
$611$	2.15417	+	3.73114i	0.0871485	+	0.150946i
$612$	−9.18563	+	34.4772i	−0.371307	+	1.39366i
$613$	−21.8779	−	12.6312i	−0.883639	−	0.510169i	−0.0117827	−	0.999931i	$-0.503751\pi$
$613$	−21.8779	−	12.6312i	−0.883639	−	0.510169i	−0.871857	+	0.489761i	$0.837084\pi$
$614$	10.1922	+	24.5567i	0.411322	+	0.991026i
$615$			7.30565i			0.294592i
$616$	2.60013	+	19.4296i	0.104762	+	0.782843i
$617$	−0.354017	+	0.613176i	−0.0142522	+	0.0246855i	−0.873064	−	0.487606i	$-0.837870\pi$
$617$	−0.354017	+	0.613176i	−0.0142522	+	0.0246855i	0.858811	+	0.512292i	$0.171203\pi$
$618$	14.5129	+	11.1198i	0.583795	+	0.447303i
$619$			9.27255i			0.372695i	0.982484	+	0.186348i	$0.0596651\pi$
$619$			9.27255i			0.372695i	−0.982484	+	0.186348i	$0.940335\pi$
$620$	−3.24194	+	12.1682i	−0.130199	+	0.488689i
$621$	−7.94444			−0.318799
$622$	11.9591	+	1.56580i	0.479516	+	0.0627827i
$623$		−	26.2615i		−	1.05214i
$624$	−0.710849	+	1.23935i	−0.0284567	+	0.0496138i
$625$	11.5576	+	20.0184i	0.462305	+	0.800736i
$626$	19.2740	+	2.52353i	0.770344	+	0.100861i
$627$	−5.85003	+	10.1326i	−0.233628	+	0.404655i
$628$	−23.8161	+	6.41781i	−0.950365	+	0.256098i
$629$	−20.7355	+	37.0186i	−0.826779	+	1.47603i
$630$	−16.1495	−	12.3737i	−0.643412	−	0.492981i
$631$	−3.70834	−	2.14101i	−0.147627	−	0.0852323i	0.424367	−	0.905490i	$-0.360497\pi$
$631$	−3.70834	−	2.14101i	−0.147627	−	0.0852323i	−0.571994	+	0.820258i	$0.693830\pi$
$632$	0.887136	+	6.62919i	0.0352884	+	0.263695i
$633$	−5.21390	−	9.03074i	−0.207234	−	0.358940i
$634$	−29.7845	−	3.89966i	−1.18289	−	0.154875i
$635$	65.0464			2.58129
$636$	−0.370556	+	0.371611i	−0.0146935	+	0.0147354i
$637$	2.11753			0.0838995
$638$	−8.08684	−	19.4842i	−0.320161	−	0.771386i
$639$	13.0115			0.514725
$640$	4.93089	+	36.0661i	0.194910	+	1.42564i
$641$	0.806106	−	1.39622i	0.0318393	−	0.0551472i	−0.849667	−	0.527320i	$-0.823197\pi$
$641$	0.806106	−	1.39622i	0.0318393	−	0.0551472i	0.881506	+	0.472173i	$0.156530\pi$
$642$	−2.09168	+	15.9756i	−0.0825520	+	0.630508i
$643$	41.7263			1.64552			0.822762	−	0.568386i	$-0.192432\pi$
$643$	41.7263			1.64552			0.822762	+	0.568386i	$0.192432\pi$
$644$	−1.93444	+	7.26071i	−0.0762277	+	0.286112i
$645$	−13.1204	−	7.57509i	−0.516617	−	0.298269i
$646$	16.7782	+	40.4250i	0.660131	+	1.59050i
$647$	34.4585	−	19.8946i	1.35471	−	0.782139i	0.365801	−	0.930693i	$-0.380795\pi$
$647$	34.4585	−	19.8946i	1.35471	−	0.782139i	0.988904	+	0.148554i	$0.0474618\pi$
$648$	−14.6154	+	1.95587i	−0.574148	+	0.0768340i
$649$	29.2948	+	16.9133i	1.14992	+	0.663907i
$650$	−3.75381	+	1.55801i	−0.147236	+	0.0611100i
$651$	1.13790	−	1.97090i	0.0445978	−	0.0772457i
$652$	3.28104	+	12.1757i	0.128495	+	0.476839i
$653$	−23.0088	−	39.8523i	−0.900402	−	1.55954i	−0.826973	−	0.562242i	$-0.809939\pi$
$653$	−23.0088	−	39.8523i	−0.900402	−	1.55954i	−0.0734292	−	0.997300i	$-0.523394\pi$
$654$	4.37711	+	10.5461i	0.171158	+	0.412384i
$655$	−68.1714			−2.66368
$656$	11.8050	−	6.86048i	0.460910	−	0.267857i
$657$	−2.95227	+	5.11347i	−0.115179	+	0.199496i
$658$	−15.7469	−	12.0653i	−0.613879	−	0.470353i
$659$	−14.3355	+	8.27661i	−0.558432	+	0.322411i	−0.752516	−	0.658574i	$-0.771160\pi$
$659$	−14.3355	+	8.27661i	−0.558432	+	0.322411i	0.194084	+	0.980985i	$0.437827\pi$
$660$	−4.41526	−	16.3848i	−0.171864	−	0.637776i
$661$	−3.48320	−	6.03308i	−0.135481	−	0.234660i	0.790300	−	0.612720i	$-0.209925\pi$
$661$	−3.48320	−	6.03308i	−0.135481	−	0.234660i	−0.925781	+	0.378060i	$0.876591\pi$
$662$	0.426529	−	3.25771i	0.0165775	−	0.126614i
$663$	−1.24577	−	2.15774i	−0.0483819	−	0.0837998i
$664$	3.63852	−	2.80428i	0.141202	−	0.108827i
$665$	−24.9572			−0.967797
$666$	−21.8497	−	2.57221i	−0.846657	−	0.0996711i
$667$		−	8.08622i		−	0.313100i
$668$	−5.30059	+	19.8952i	−0.205086	+	0.769767i
$669$	16.4048	−	9.47132i	0.634247	−	0.366183i
$670$	37.7756	+	4.94594i	1.45940	+	0.191078i
$671$	4.17367	−	2.40967i	0.161123	−	0.0930242i
$672$	0.835495	−	6.52535i	0.0322299	−	0.251721i
$673$	6.01450	+	10.4174i	0.231842	+	0.401562i	0.958350	−	0.285596i	$-0.0921914\pi$
$673$	6.01450	+	10.4174i	0.231842	+	0.401562i	−0.726508	+	0.687158i	$0.758858\pi$
$674$	−25.8242	−	19.7865i	−0.994711	−	0.762146i
$675$	17.1352	+	9.89304i	0.659536	+	0.380783i
$676$	−6.61495	−	24.5477i	−0.254421	−	0.944142i
$677$		−	8.24618i		−	0.316926i	−0.987365	−	0.158463i	$-0.949346\pi$
$677$		−	8.24618i		−	0.316926i	0.987365	−	0.158463i	$-0.0506539\pi$
$678$	17.7796	−	7.37936i	0.682821	−	0.283403i
$679$	25.4100	−	14.6705i	0.975146	−	0.563001i
$680$	−58.6994	−	24.1676i	−2.25102	−	0.926784i
$681$	−3.87971	−	2.23995i	−0.148671	−	0.0858352i
$682$	−10.1331	+	4.20571i	−0.388016	+	0.161045i
$683$	−10.9776	+	19.0138i	−0.420046	+	0.727542i	−0.995944	−	0.0899805i	$-0.971320\pi$
$683$	−10.9776	+	19.0138i	−0.420046	+	0.727542i	0.575897	+	0.817522i	$0.304653\pi$
$684$	−16.0245	+	16.0702i	−0.612713	+	0.614458i
$685$	22.4768	+	38.9310i	0.858795	+	1.48748i
$686$	−24.9902	+	10.3721i	−0.954129	+	0.396008i
$687$	−0.469439	+	0.813093i	−0.0179102	+	0.0310214i
$688$	0.0805117	+	28.3145i	0.00306948	+	1.07948i
$689$			0.211811i			0.00806935i
$690$	0.844422	−	6.44944i	0.0321466	−	0.245526i
$691$	16.0037	+	9.23977i	0.608811	+	0.351497i	0.772500	−	0.635015i	$-0.219006\pi$
$691$	16.0037	+	9.23977i	0.608811	+	0.351497i	−0.163689	+	0.986512i	$0.552339\pi$
$692$	0.0229040	−	0.00617202i	0.000870679	−	0.000234625i
$693$		−	17.7252i		−	0.673326i
$694$	−2.92943	+	1.21585i	−0.111200	+	0.0461530i
$695$		−	19.9567i		−	0.757000i
$696$	0.939043	+	7.01707i	0.0355943	+	0.265981i
$697$			23.8105i			0.901887i
$698$	−8.39328	−	1.09893i	−0.317690	−	0.0415950i
$699$	−8.64058	+	4.98864i	−0.326817	+	0.188688i
$700$	13.2140	−	13.2516i	0.499441	−	0.500863i
$701$	5.75067	−	9.96046i	0.217200	−	0.376201i	−0.736751	−	0.676164i	$-0.763641\pi$
$701$	5.75067	−	9.96046i	0.217200	−	0.376201i	0.953951	+	0.299963i	$0.0969743\pi$
$702$	1.70739	−	2.22839i	0.0644413	−	0.0841053i
$703$	−23.1949	+	13.7969i	−0.874813	+	0.520358i
$704$	−22.3296	+	22.5209i	−0.841577	+	0.848787i
$705$	14.8719	+	8.58628i	0.560107	+	0.323378i
$706$	24.5480	+	3.21406i	0.923877	+	0.120963i
$707$	14.2860	−	8.24800i	0.537279	−	0.310198i
$708$	−8.03853	−	8.01571i	−0.302106	−	0.301249i
$709$	9.52448			0.357699			0.178850	−	0.983876i	$-0.442762\pi$
$709$	9.52448			0.357699			0.178850	+	0.983876i	$0.442762\pi$
$710$	−3.00528	+	22.9534i	−0.112786	+	0.861427i
$711$		−	6.04766i		−	0.226805i
$712$	33.6519	−	25.9362i	1.26116	−	0.972001i
$713$	−4.20539			−0.157493
$714$	9.10656	+	6.97743i	0.340804	+	0.261124i
$715$	−5.93135	−	3.42447i	−0.221820	−	0.128068i
$716$	9.20628	−	9.23250i	0.344055	−	0.345035i
$717$	−12.7708			−0.476936
$718$	25.3722	−	10.5307i	0.946884	−	0.393001i
$719$	18.9100	−	32.7531i	0.705224	−	1.22148i	−0.261386	−	0.965234i	$-0.584180\pi$
$719$	18.9100	−	32.7531i	0.705224	−	1.22148i	0.966611	−	0.256250i	$-0.0824870\pi$
$720$	−0.0935924	−	32.9148i	−0.00348798	−	1.22666i
$721$	−29.4255	+	16.9888i	−1.09586	+	0.632697i
$722$	−0.125822	+	0.960993i	−0.00468262	+	0.0357645i
$723$	1.66435	−	2.88274i	0.0618978	−	0.107210i
$724$	−6.00874	+	22.5531i	−0.223313	+	0.838181i
$725$	−10.0696	+	17.4410i	−0.373975	+	0.647744i
$726$	2.69804	−	3.52134i	0.100134	−	0.130689i
$727$	−34.4965	+	19.9165i	−1.27940	+	0.738663i	−0.976739	−	0.214434i	$-0.931209\pi$
$727$	−34.4965	+	19.9165i	−1.27940	+	0.738663i	−0.302664	+	0.953097i	$0.597876\pi$
$728$	−1.62087	−	2.10305i	−0.0600733	−	0.0779443i
$729$	5.95589			0.220589
$730$	−8.33876	−	6.38914i	−0.308631	−	0.236473i
$731$	−42.7620	−	24.6886i	−1.58161	−	0.913142i
$732$	−1.56164	+	0.420821i	−0.0577198	+	0.0155540i
$733$	13.9768	−	8.06949i	0.516244	−	0.298053i	−0.219153	−	0.975691i	$-0.570329\pi$
$733$	13.9768	−	8.06949i	0.516244	−	0.298053i	0.735396	+	0.677637i	$0.236996\pi$
$734$	−32.3264	−	24.7685i	−1.19319	−	0.914221i
$735$	7.30945	−	4.22011i	0.269613	−	0.155661i
$736$	−11.2145	+	4.69196i	−0.413371	+	0.172948i
$737$	16.5962	+	28.7454i	0.611328	+	1.05885i
$738$	−11.4028	+	4.73270i	−0.419744	+	0.174213i
$739$			31.0229i			1.14120i	0.821230	+	0.570598i	$0.193289\pi$
$739$			31.0229i			1.14120i	−0.821230	+	0.570598i	$0.806711\pi$
$740$	9.58427	−	37.9507i	0.352325	−	1.39510i
$741$		−	1.58476i		−	0.0582178i
$742$	−0.373864	−	0.900777i	−0.0137250	−	0.0330686i
$743$	−3.30582	−	5.72584i	−0.121279	−	0.210061i	0.798994	−	0.601340i	$-0.205366\pi$
$743$	−3.30582	−	5.72584i	−0.121279	−	0.210061i	−0.920272	+	0.391279i	$0.872033\pi$
$744$	3.64935	−	0.488366i	0.133792	−	0.0179044i
$745$	51.5848	−	29.7825i	1.88992	−	1.09115i
$746$	−27.1720	+	35.4634i	−0.994837	+	1.29841i
$747$	−3.59727	+	2.07689i	−0.131617	+	0.0759893i
$748$	−14.3902	−	53.4010i	−0.526156	−	1.95253i
$749$	−25.9312	−	14.9714i	−0.947504	−	0.547042i
$750$	−0.648258	+	0.846071i	−0.0236710	+	0.0308941i
$751$	42.5856			1.55397			0.776985	−	0.629519i	$-0.216748\pi$
$751$	42.5856			1.55397			0.776985	+	0.629519i	$0.216748\pi$
$752$	−0.0912592	−	32.0942i	−0.00332788	−	1.17036i
$753$	2.20555	−	1.27338i	0.0803749	−	0.0464045i
$754$	2.26816	+	1.73786i	0.0826016	+	0.0632892i
$755$	13.1650	−	22.8024i	0.479123	−	0.829866i
$756$	−3.32779	+	12.4905i	−0.121030	+	0.454274i
$757$	−1.07846	+	1.86794i	−0.0391971	+	0.0678914i	−0.884958	−	0.465670i	$-0.845813\pi$
$757$	−1.07846	+	1.86794i	−0.0391971	+	0.0678914i	0.845761	+	0.533561i	$0.179147\pi$
$758$	−15.5736	−	2.03904i	−0.565658	−	0.0740613i
$759$	4.90772	−	2.83347i	0.178139	−	0.102848i
$760$	−24.6481	−	31.9805i	−0.894080	−	1.16006i
$761$	8.16322	−	14.1391i	0.295916	−	0.512542i	−0.679281	−	0.733878i	$-0.737708\pi$
$761$	8.16322	−	14.1391i	0.295916	−	0.512542i	0.975198	+	0.221336i	$0.0710417\pi$
$762$	−7.29052	−	17.5655i	−0.264108	−	0.636333i
$763$	−21.2200			−0.768215
$764$	−12.2808	−	12.2459i	−0.444302	−	0.443041i
$765$	49.7095	+	28.6998i	1.79725	+	1.03764i
$766$	−19.5648	+	25.5348i	−0.706903	+	0.922611i
$767$	−4.58179			−0.165439
$768$	9.18685	−	5.37392i	0.331502	−	0.193915i
$769$		−	7.06397i		−	0.254733i	−0.991856	−	0.127367i	$-0.959348\pi$
$769$		−	7.06397i		−	0.254733i	0.991856	−	0.127367i	$-0.0406525\pi$
$770$	31.2690	+	4.09403i	1.12686	+	0.147538i
$771$	−0.718046			−0.0258598
$772$	0.443222	+	0.441964i	0.0159519	+	0.0159066i
$773$	31.8001	−	18.3598i	1.14377	−	0.660356i	0.196409	−	0.980522i	$-0.437072\pi$
$773$	31.8001	−	18.3598i	1.14377	−	0.660356i	0.947361	+	0.320166i	$0.103739\pi$
$774$	3.32376	−	25.3859i	0.119470	−	0.912477i
$775$	9.07053	+	5.23687i	0.325823	+	0.188114i
$776$	43.8943	+	18.0720i	1.57571	+	0.648748i
$777$	−3.45700	+	6.17168i	−0.124019	+	0.221408i
$778$	−39.5621	−	30.3124i	−1.41837	−	1.08675i
$779$	−7.57240	+	13.1158i	−0.271310	+	0.469922i
$780$	1.62757	+	1.62295i	0.0582764	+	0.0581109i
$781$	−17.4665	+	10.0843i	−0.624999	+	0.360843i
$782$	2.75213	−	21.0200i	0.0984160	−	0.751672i
$783$		−	13.9106i		−	0.497124i
$784$	−13.6832	−	7.84822i	−0.488687	−	0.280294i
$785$			39.6805i			1.41626i
$786$	7.64078	+	18.4094i	0.272537	+	0.656643i
$787$			16.8047i			0.599023i	0.954093	+	0.299512i	$0.0968237\pi$
$787$			16.8047i			0.599023i	−0.954093	+	0.299512i	$0.903176\pi$
$788$	10.2365	−	2.75847i	0.364661	−	0.0982665i
$789$	−10.4954	−	6.05951i	−0.373645	−	0.215724i
$790$	10.6686	+	1.39684i	0.379573	+	0.0496973i
$791$			35.7748i			1.27200i
$792$	22.7134	−	17.5057i	0.807086	−	0.622038i
$793$	−0.326387	+	0.565320i	−0.0115904	+	0.0200751i
$794$	6.90799	+	16.6439i	0.245155	+	0.590670i
$795$	0.422127	+	0.731145i	0.0149713	+	0.0259310i
$796$	2.04037	+	2.03458i	0.0723190	+	0.0721137i
$797$	0.349355	−	0.605100i	0.0123748	−	0.0214338i	−0.859772	−	0.510679i	$-0.829394\pi$
$797$	0.349355	−	0.605100i	0.0123748	−	0.0214338i	0.872146	+	0.489245i	$0.162728\pi$
$798$	2.79725	+	6.73959i	0.0990214	+	0.238579i
$799$	48.4702	+	27.9843i	1.71475	+	0.990014i
$800$	30.0311	+	3.84513i	1.06176	+	0.135946i
$801$	−33.2704	+	19.2087i	−1.17555	+	0.678705i
$802$	−16.5295	−	39.8255i	−0.583675	−	1.40629i
$803$		−	9.15237i		−	0.322980i
$804$	−2.89833	−	10.7555i	−0.102216	−	0.379318i
$805$	10.4685	+	6.04401i	0.368968	+	0.213024i
$806$	0.903807	−	1.17960i	0.0318352	−	0.0415496i
$807$	−9.05505	−	15.6838i	−0.318753	−	0.552096i
$808$	24.6782	+	10.1604i	0.868175	+	0.357443i
$809$	26.4968	−	15.2979i	0.931577	−	0.537846i	0.0442669	−	0.999020i	$-0.485905\pi$
$809$	26.4968	−	15.2979i	0.931577	−	0.537846i	0.887310	+	0.461174i	$0.152571\pi$
$810$	−3.07962	+	23.5212i	−0.108207	+	0.826451i
$811$	6.49251	−	3.74845i	0.227983	−	0.131626i	−0.381658	−	0.924304i	$-0.624647\pi$
$811$	6.49251	−	3.74845i	0.227983	−	0.131626i	0.609641	+	0.792678i	$0.291314\pi$
$812$	−12.7134	−	3.38718i	−0.446152	−	0.118867i
$813$		−	17.0060i		−	0.596425i
$814$	31.3243	−	13.4812i	1.09792	−	0.472516i
$815$	20.2863			0.710598
$816$	0.0527759	+	18.5603i	0.00184753	+	0.649741i
$817$	−15.7034	−	27.1990i	−0.549391	−	0.951573i
$818$	−25.2218	−	3.30228i	−0.881860	−	0.115461i
$819$	1.20043	+	2.07921i	0.0419465	+	0.0726535i
$820$	−5.71520	−	21.2088i	−0.199584	−	0.740642i
$821$	−6.79113	+	3.92086i	−0.237012	+	0.136839i	−0.613803	−	0.789459i	$-0.710361\pi$
$821$	−6.79113	+	3.92086i	−0.237012	+	0.136839i	0.376791	+	0.926298i	$0.377028\pi$
$822$	7.99394	−	10.4332i	0.278821	−	0.363901i
$823$	7.27104	−	12.5938i	0.253453	−	0.438993i	−0.711021	−	0.703170i	$-0.751767\pi$
$823$	7.27104	−	12.5938i	0.253453	−	0.438993i	0.964474	+	0.264177i	$0.0851005\pi$
$824$	−50.8309	−	20.9279i	−1.77078	−	0.729060i
$825$	−14.1138			−0.491381
$826$	19.4852	−	8.08726i	0.677976	−	0.281392i
$827$	−10.6385	−	18.4264i	−0.369936	−	0.640747i	0.619620	−	0.784902i	$-0.287287\pi$
$827$	−10.6385	−	18.4264i	−0.369936	−	0.640747i	−0.989555	+	0.144155i	$0.953954\pi$
$828$	10.6135	−	2.86005i	0.368843	−	0.0993935i
$829$	14.1711	−	24.5450i	0.492182	−	0.852485i	−0.507777	−	0.861488i	$-0.669533\pi$
$829$	14.1711	−	24.5450i	0.492182	−	0.852485i	0.999959	+	0.00900385i	$0.00286605\pi$
$830$	−2.83295	−	6.82563i	−0.0983333	−	0.236921i
$831$	6.45748	+	3.72823i	0.224008	+	0.129331i
$832$	1.09410	−	4.15401i	0.0379310	−	0.144014i
$833$	23.8229	−	13.7541i	0.825413	−	0.476553i
$834$	−5.38923	+	2.23678i	−0.186614	+	0.0774534i
$835$	28.6850	+	16.5613i	0.992685	+	0.573127i
$836$	9.05633	−	33.9919i	0.313220	−	1.17564i
$837$	−7.23445			−0.250059
$838$	3.04401	+	0.398550i	0.105153	+	0.0137677i
$839$	−20.7540	+	35.9470i	−0.716507	+	1.24103i	0.245868	+	0.969303i	$0.420927\pi$
$839$	−20.7540	+	35.9470i	−0.716507	+	1.24103i	−0.962375	+	0.271724i	$0.912406\pi$
$840$	−9.78629	−	4.02918i	−0.337659	−	0.139020i
$841$	−14.8412			−0.511764
$842$	45.5561	−	18.9079i	1.56997	−	0.651609i
$843$	0.557593			0.0192045
$844$	22.2010	+	22.1380i	0.764191	+	0.762021i
$845$	−40.8995			−1.40699
$846$	−3.76745	+	28.7747i	−0.129528	+	0.989293i
$847$	4.12208	+	7.13966i	0.141636	+	0.245322i
$848$	0.785037	−	1.36870i	0.0269583	−	0.0470013i
$849$	−5.14857	−	2.97253i	−0.176699	−	0.102017i
$850$	−32.1117	+	41.9104i	−1.10142	+	1.43752i
$851$	13.0706	−	0.169994i	0.448055	−	0.00582732i
$852$	6.53533	−	1.76110i	0.223897	−	0.0603343i
$853$	26.1730	−	45.3330i	0.896147	−	1.55217i	0.0637681	−	0.997965i	$-0.479688\pi$
$853$	26.1730	−	45.3330i	0.896147	−	1.55217i	0.832379	−	0.554207i	$-0.186978\pi$
$854$	0.390204	−	2.98026i	0.0133525	−	0.101982i
$855$	18.2547	+	31.6180i	0.624296	+	1.08131i
$856$	−6.42544	−	48.0146i	−0.219617	−	1.64110i
$857$			47.2486i			1.61398i	0.590564	+	0.806991i	$0.298905\pi$
$857$			47.2486i			1.61398i	−0.590564	+	0.806991i	$0.701095\pi$
$858$	−0.259968	+	1.98556i	−0.00887517	+	0.0677859i
$859$	−15.1220			−0.515958			−0.257979	−	0.966151i	$-0.583056\pi$
$859$	−15.1220			−0.515958			−0.257979	+	0.966151i	$0.583056\pi$
$860$	44.0154	+	11.7269i	1.50091	+	0.399882i
$861$			3.96965i			0.135285i
$862$	−19.6603	+	25.6595i	−0.669631	+	0.873966i
$863$	−22.0511	+	38.1936i	−0.750627	+	1.30012i	0.196892	+	0.980425i	$0.436915\pi$
$863$	−22.0511	+	38.1936i	−0.750627	+	1.30012i	−0.947519	+	0.319699i	$0.896418\pi$
$864$	−19.2921	+	8.07150i	−0.656330	+	0.274598i
$865$		−	0.0381609i		−	0.00129751i
$866$	3.99831	−	1.65948i	0.135868	−	0.0563916i
$867$	−18.2374	−	10.5293i	−0.619373	−	0.357595i
$868$	−1.76156	+	6.61183i	−0.0597913	+	0.224420i
$869$	4.68711	+	8.11832i	0.158999	+	0.275395i
$870$	11.2929	+	1.47857i	0.382864	+	0.0501282i
$871$	−3.89354	−	2.24794i	−0.131928	−	0.0761685i
$872$	−20.9572	−	27.1917i	−0.709700	−	0.920827i
$873$	−37.1718	−	21.4611i	−1.25807	−	0.726349i
$874$	8.20092	−	10.7034i	0.277400	−	0.362048i
$875$	−0.990411	−	1.71544i	−0.0334820	−	0.0579925i
$876$	−0.790742	+	2.96796i	−0.0267167	+	0.100278i
$877$			15.0650i			0.508708i	0.967111	+	0.254354i	$0.0818628\pi$
$877$			15.0650i			0.508708i	−0.967111	+	0.254354i	$0.918137\pi$
$878$	21.6442	−	28.2489i	0.730458	−	0.953353i
$879$	−6.64355	+	11.5070i	−0.224081	+	0.388120i
$880$	25.6356	+	44.1119i	0.864174	+	1.48701i
$881$	−19.6313	−	34.0025i	−0.661396	−	1.14557i	−0.980249	−	0.197768i	$-0.936631\pi$
$881$	−19.6313	−	34.0025i	−0.661396	−	1.14557i	0.318853	−	0.947804i	$-0.396702\pi$
$882$	11.3220	+	8.67490i	0.381232	+	0.292099i
$883$	−13.3227	−	23.0755i	−0.448344	−	0.776554i	0.549935	−	0.835208i	$-0.314653\pi$
$883$	−13.3227	−	23.0755i	−0.448344	−	0.776554i	−0.998278	+	0.0586537i	$0.981319\pi$
$884$	5.30456	+	5.28950i	0.178412	+	0.177905i
$885$	−15.8158	+	9.13125i	−0.531642	+	0.306944i
$886$	−15.5828	−	37.5448i	−0.523516	−	1.26134i
$887$	−21.1228			−0.709233			−0.354617	−	0.935012i	$-0.615389\pi$
$887$	−21.1228			−0.709233			−0.354617	+	0.935012i	$0.615389\pi$
$888$	−11.3227	+	1.66539i	−0.379965	+	0.0558869i
$889$	35.3441			1.18540
$890$	−26.2014	−	63.1288i	−0.878273	−	2.11608i
$891$	−17.8985	+	10.3337i	−0.599623	+	0.346192i
$892$	−40.2148	+	40.3293i	−1.34649	+	1.35033i
$893$	17.7996	+	30.8298i	0.595640	+	1.03168i
$894$	−13.8244	−	10.5922i	−0.462357	−	0.354257i
$895$	−10.4875	−	18.1649i	−0.350559	−	0.607186i
$896$	2.67928	+	19.5971i	0.0895085	+	0.654694i
$897$	−0.383791	+	0.664746i	−0.0128144	+	0.0221952i
$898$	−9.01234	+	11.7624i	−0.300746	+	0.392517i
$899$		−	7.36356i		−	0.245589i
$900$	−26.4536	−	7.04791i	−0.881785	−	0.234930i
$901$	1.37579	+	2.38294i	0.0458342	+	0.0793872i
$902$	11.6391	−	15.1907i	0.387538	−	0.505794i
$903$	−7.12921	−	4.11605i	−0.237245	−	0.136974i
$904$	−45.8424	+	35.3317i	−1.52470	+	1.17512i
$905$	32.5173	+	18.7739i	1.08091	+	0.624064i
$906$	−7.63327	−	0.999420i	−0.253599	−	0.0332035i
$907$	−2.70347	−	4.68254i	−0.0897672	−	0.155481i	0.817645	−	0.575722i	$-0.195279\pi$
$907$	−2.70347	−	4.68254i	−0.0897672	−	0.155481i	−0.907413	+	0.420241i	$0.861946\pi$
$908$	13.0154	+	3.46763i	0.431930	+	0.115077i
$909$	−20.8987	−	12.0658i	−0.693165	−	0.400199i
$910$	−3.94519	+	1.63744i	−0.130782	+	0.0542806i
$911$		−	7.13798i		−	0.236492i	−0.992984	−	0.118246i	$-0.962273\pi$
$911$		−	7.13798i		−	0.236492i	0.992984	−	0.118246i	$-0.0377271\pi$
$912$	−5.87363	+	10.2406i	−0.194495	+	0.339099i
$913$	3.21930	−	5.57598i	0.106543	−	0.184538i
$914$	17.4427	−	22.7652i	0.576952	−	0.753007i
$915$			2.60188i			0.0860157i
$916$	0.726731	−	2.72770i	0.0240119	−	0.0901258i
$917$	−37.0421			−1.22324
$918$	4.73444	−	36.1603i	0.156260	−	1.19347i
$919$		−	18.8976i		−	0.623375i	−0.950185	−	0.311688i	$-0.899106\pi$
$919$		−	18.8976i		−	0.623375i	0.950185	−	0.311688i	$-0.100894\pi$
$920$	2.59398	+	19.3837i	0.0855211	+	0.639063i
$921$	−6.25300	−	10.8305i	−0.206043	−	0.356878i
$922$	−2.37298	+	18.1241i	−0.0781499	+	0.596886i
$923$	1.36590	−	2.36582i	0.0449593	−	0.0778718i
$924$	−2.39911	−	8.90294i	−0.0789248	−	0.292885i
$925$	−28.4035	−	15.9099i	−0.933901	−	0.523114i
$926$	−26.2438	+	34.2519i	−0.862424	+	1.12559i
$927$	43.0460	+	24.8526i	1.41382	+	0.816267i
$928$	−8.21555	−	19.6364i	−0.269689	−	0.644596i
$929$	−10.1932	−	17.6551i	−0.334427	−	0.579244i	0.648948	−	0.760833i	$-0.275209\pi$
$929$	−10.1932	−	17.6551i	−0.334427	−	0.579244i	−0.983375	+	0.181589i	$0.941876\pi$
$930$	0.768957	−	5.87306i	0.0252151	−	0.192585i
$931$	17.4968			0.573435
$932$	21.1815	−	21.2419i	0.693825	−	0.695800i
$933$	−5.67316			−0.185731
$934$	−22.5953	+	9.37811i	−0.739341	+	0.306861i
$935$	−88.9727			−2.90972
$936$	−1.47877	+	3.59172i	−0.0483352	+	0.117399i
$937$	−4.12749	+	7.14903i	−0.134839	+	0.233549i	−0.925536	−	0.378659i	$-0.876385\pi$
$937$	−4.12749	+	7.14903i	−0.134839	+	0.233549i	0.790697	+	0.612208i	$0.209718\pi$
$938$	20.5260	+	2.68746i	0.670199	+	0.0877488i
$939$	−9.14323			−0.298378
$940$	−49.8910	−	13.2923i	−1.62727	−	0.433546i
$941$	41.0244	+	23.6854i	1.33736	+	0.772123i	0.986415	−	0.164275i	$-0.0525284\pi$
$941$	41.0244	+	23.6854i	1.33736	+	0.772123i	0.350941	+	0.936398i	$0.385862\pi$
$942$	10.7156	−	4.44747i	0.349133	−	0.144906i
$943$	6.35265	−	3.66770i	0.206871	−	0.119437i
$944$	29.6070	+	16.9816i	0.963627	+	0.552703i
$945$	18.0089	+	10.3974i	0.585828	+	0.338228i
$946$	15.2130	+	36.6538i	0.494619	+	1.19172i
$947$	−9.82338	+	17.0146i	−0.319217	+	0.552900i	−0.980325	−	0.197391i	$-0.936753\pi$
$947$	−9.82338	+	17.0146i	−0.319217	+	0.552900i	0.661108	+	0.750291i	$0.270087\pi$
$948$	−0.818550	−	3.03759i	−0.0265853	−	0.0986563i
$949$	0.619840	+	1.07359i	0.0201209	+	0.0348504i
$950$	−31.0171	+	12.8736i	−1.00633	+	0.417673i
$951$	14.1292			0.458170
$952$	−31.8954	−	13.1319i	−1.03373	−	0.425606i
$953$	−2.08755	+	3.61574i	−0.0676223	+	0.117125i	−0.897854	−	0.440293i	$-0.854875\pi$
$953$	−2.08755	+	3.61574i	−0.0676223	+	0.117125i	0.830232	+	0.557418i	$0.188208\pi$
$954$	−0.867727	+	1.13251i	−0.0280937	+	0.0366664i
$955$	−24.1624	+	13.9502i	−0.781876	+	0.451416i
$956$	37.0745	−	9.99061i	1.19908	−	0.323119i
$957$	4.96136	+	8.59333i	0.160378	+	0.277783i
$958$	−12.5145	−	1.63852i	−0.404325	−	0.0529380i
$959$	12.2132	+	21.1538i	0.394384	+	0.683093i
$960$	−4.50202	−	16.5196i	−0.145302	−	0.533168i
$961$	27.1704			0.876466
$962$	−2.76141	+	3.70280i	−0.0890313	+	0.119383i
$963$			43.8026i			1.41152i
$964$	−2.57655	+	9.67078i	−0.0829850	+	0.311475i
$965$	0.872039	−	0.503472i	0.0280719	−	0.0162073i
$966$	0.458831	−	3.50442i	0.0147626	−	0.112753i
$967$	47.1713	−	27.2344i	1.51693	−	0.875798i	0.517125	−	0.855910i	$-0.327002\pi$
$967$	47.1713	−	27.2344i	1.51693	−	0.875798i	0.999802	−	0.0198888i	$-0.00633121\pi$
$968$	−5.07785	+	12.3333i	−0.163208	+	0.396409i
$969$	−10.2936	−	17.8291i	−0.330679	−	0.572753i
$970$	46.4451	−	60.6176i	1.49126	−	1.94631i
$971$	21.6943	+	12.5252i	0.696204	+	0.401953i	0.805932	−	0.592008i	$-0.201665\pi$
$971$	21.6943	+	12.5252i	0.696204	+	0.401953i	−0.109728	+	0.993962i	$0.534998\pi$
$972$	28.1141	−	7.57601i	0.901760	−	0.243001i
$973$		−	10.8438i		−	0.347637i
$974$	−2.07200	−	4.99222i	−0.0663913	−	0.159961i
$975$	1.65559	−	0.955853i	0.0530212	−	0.0306118i
$976$	4.20433	−	2.44334i	0.134577	−	0.0782093i
$977$	−8.60464	−	4.96789i	−0.275287	−	0.158937i	0.356001	−	0.934486i	$-0.384140\pi$
$977$	−8.60464	−	4.96789i	−0.275287	−	0.158937i	−0.631288	+	0.775549i	$0.717473\pi$
$978$	−2.27373	−	5.47824i	−0.0727057	−	0.175175i
$979$	29.7746	−	51.5711i	0.951600	−	1.64822i
$980$	−17.9184	+	17.9694i	−0.572382	+	0.574012i
$981$	15.5212	+	26.8834i	0.495552	+	0.858322i
$982$	−8.21428	−	19.7912i	−0.262128	−	0.631563i
$983$	−10.8235	+	18.7468i	−0.345215	+	0.597930i	−0.985393	−	0.170297i	$-0.945527\pi$
$983$	−10.8235	+	18.7468i	−0.345215	+	0.597930i	0.640178	+	0.768227i	$0.278861\pi$
$984$	−5.08678	+	3.92049i	−0.162161	+	0.124981i
$985$		−	17.0553i		−	0.543427i
$986$	36.8056	+	4.81893i	1.17213	+	0.153466i
$987$	8.08089	+	4.66550i	0.257218	+	0.148505i
$988$	1.23976	+	4.60067i	0.0394420	+	0.146367i
$989$			15.2119i			0.483710i
$990$	−17.6847	−	42.6089i	−0.562056	−	1.35420i
$991$			44.7931i			1.42290i	0.702736	+	0.711451i	$0.251961\pi$
$991$			44.7931i			1.42290i	−0.702736	+	0.711451i	$0.748039\pi$
$992$	−10.2123	+	4.27264i	−0.324240	+	0.135657i
$993$			1.54539i			0.0490416i
$994$	−1.63297	+	12.4721i	−0.0517947	+	0.395592i
$995$	4.01442	−	2.31773i	0.127266	−	0.0734769i
$996$	−1.52571	+	1.53006i	−0.0483441	+	0.0484818i
$997$	13.7735	−	23.8564i	0.436211	−	0.755539i	−0.561183	−	0.827692i	$-0.689653\pi$
$997$	13.7735	−	23.8564i	0.436211	−	0.755539i	0.997394	+	0.0721525i	$0.0229868\pi$
$998$	39.4818	+	30.2509i	1.24978	+	0.957576i
$999$	22.4852	−	0.292438i	0.711399	−	0.00925233i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.q.a.101.33	yes	72
4.3	odd	2		1184.2.y.a.1137.21		72
8.3	odd	2		1184.2.y.a.1137.16		72
8.5	even	2	inner	296.2.q.a.101.21	yes	72
37.11	even	6	inner	296.2.q.a.85.21	✓	72
148.11	odd	6		1184.2.y.a.529.16		72
296.11	odd	6		1184.2.y.a.529.21		72
296.85	even	6	inner	296.2.q.a.85.33	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.q.a.85.21	✓	72	37.11	even	6	inner
296.2.q.a.85.33	yes	72	296.85	even	6	inner
296.2.q.a.101.21	yes	72	8.5	even	2	inner
296.2.q.a.101.33	yes	72	1.1	even	1	trivial
1184.2.y.a.529.16		72	148.11	odd	6
1184.2.y.a.529.21		72	296.11	odd	6
1184.2.y.a.1137.16		72	8.3	odd	2
1184.2.y.a.1137.21		72	4.3	odd	2

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.q (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.30618 - 0.542125i) q^{2} +(-0.576079 + 0.332599i) q^{3} +(1.41220 - 1.41622i) q^{4} +(-1.60874 - 2.78642i) q^{5} +(-0.572151 + 0.746741i) q^{6} +(-0.874135 - 1.51405i) q^{7} +(1.07682 - 2.61543i) q^{8} +(-1.27876 + 2.21487i) q^{9} +(-3.61188 - 2.76742i) q^{10} -3.96429i q^{11} +(-0.342505 + 1.28555i) q^{12} +(0.268480 + 0.465021i) q^{13} +(-1.96258 - 1.50372i) q^{14} +(1.85352 + 1.07013i) q^{15} +(-0.0113739 - 3.99998i) q^{16} +(6.04097 + 3.48776i) q^{17} +(-0.469547 + 3.58626i) q^{18} +(2.21841 + 3.84239i) q^{19} +(-6.21805 - 1.65665i) q^{20} +(1.00714 + 0.581474i) q^{21} +(-2.14914 - 5.17807i) q^{22} -2.14898i q^{23} +(0.249558 + 1.86484i) q^{24} +(-2.67607 + 4.63509i) q^{25} +(0.602782 + 0.461850i) q^{26} -3.69685i q^{27} +(-3.37868 - 0.900169i) q^{28} +3.76282 q^{29} +(3.00117 + 0.392941i) q^{30} -1.95692i q^{31} +(-2.18335 - 5.21852i) q^{32} +(1.31852 + 2.28375i) q^{33} +(9.78138 + 1.28067i) q^{34} +(-2.81251 + 4.87141i) q^{35} +(1.33089 + 4.93884i) q^{36} +(0.0791047 + 6.08225i) q^{37} +(4.98069 + 3.81620i) q^{38} +(-0.309331 - 0.178593i) q^{39} +(-9.01998 + 1.20708i) q^{40} +(1.70672 + 2.95613i) q^{41} +(1.63074 + 0.213511i) q^{42} -7.07866 q^{43} +(-5.61432 - 5.59838i) q^{44} +8.22873 q^{45} +(-1.16501 - 2.80695i) q^{46} +8.02359 q^{47} +(1.33694 + 2.30052i) q^{48} +(1.97178 - 3.41521i) q^{49} +(-0.982628 + 7.50502i) q^{50} -4.64010 q^{51} +(1.03772 + 0.276476i) q^{52} +(0.341615 + 0.197231i) q^{53} +(-2.00415 - 4.82874i) q^{54} +(-11.0462 + 6.37751i) q^{55} +(-4.90116 + 0.655887i) q^{56} +(-2.55596 - 1.47568i) q^{57} +(4.91492 - 2.03992i) q^{58} +(-4.26642 + 7.38966i) q^{59} +(4.13309 - 1.11376i) q^{60} +(0.607843 + 1.05282i) q^{61} +(-1.06090 - 2.55609i) q^{62} +4.47122 q^{63} +(-5.68093 - 5.63268i) q^{64} +(0.863828 - 1.49619i) q^{65} +(2.96030 + 2.26817i) q^{66} +(-7.25109 + 4.18642i) q^{67} +(13.4705 - 3.62995i) q^{68} +(0.714748 + 1.23798i) q^{69} +(-1.03273 + 7.88765i) q^{70} +(-2.54377 - 4.40594i) q^{71} +(4.41585 + 5.72950i) q^{72} +2.30870 q^{73} +(3.40066 + 7.90161i) q^{74} -3.56024i q^{75} +(8.57452 + 2.28448i) q^{76} +(-6.00212 + 3.46533i) q^{77} +(-0.500861 - 0.0655774i) q^{78} +(-2.04786 + 1.18233i) q^{79} +(-11.1273 + 6.46662i) q^{80} +(-2.60670 - 4.51493i) q^{81} +(3.83187 + 2.93597i) q^{82} +(1.40655 + 0.812073i) q^{83} +(2.24578 - 0.605179i) q^{84} -22.4435i q^{85} +(-9.24599 + 3.83752i) q^{86} +(-2.16768 + 1.25151i) q^{87} +(-10.3683 - 4.26882i) q^{88} +(13.0089 + 7.51069i) q^{89} +(10.7482 - 4.46100i) q^{90} +(0.469376 - 0.812982i) q^{91} +(-3.04343 - 3.03479i) q^{92} +(0.650872 + 1.12734i) q^{93} +(10.4802 - 4.34979i) q^{94} +(7.13767 - 12.3628i) q^{95} +(2.99346 + 2.28010i) q^{96} +16.7828i q^{97} +(0.724017 - 5.52983i) q^{98} +(8.78039 + 5.06936i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) \) 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

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