LMFDB - Embedded newform 147.2.o.b.101.10

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [147,2,Mod(5,147)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("147.5"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(147, base_ring=CyclotomicField(42)) chi = DirichletCharacter(H, H._module([21, 29])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 147 = 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	147.o (of order $42$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [192] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$1.17380090971$
Analytic rank:	$0$
Dimension:	$192$
Relative dimension:	$16$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			101.10
Character	$\chi$	$=$	147.101
Dual form			147.2.o.b.131.10

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.742405 + 0.291372i) q^{2} +(0.844874 - 1.51201i) q^{3} +(-0.999837 - 0.927713i) q^{4} +(3.49434 + 2.38240i) q^{5} +(1.06780 - 0.876354i) q^{6} +(-2.63459 - 0.242725i) q^{7} +(-1.16405 - 2.41717i) q^{8} +(-1.57238 - 2.55492i) q^{9} +(1.90005 + 2.78686i) q^{10} +(0.481626 + 3.19538i) q^{11} +(-2.24745 + 0.727967i) q^{12} +(1.47939 - 1.17977i) q^{13} +(-1.88521 - 0.947848i) q^{14} +(6.55449 - 3.27066i) q^{15} +(0.0439563 + 0.586557i) q^{16} +(-0.330642 - 0.101990i) q^{17} +(-0.422905 - 2.35493i) q^{18} +(-3.79474 + 2.19089i) q^{19} +(-1.28358 - 5.62375i) q^{20} +(-2.59290 + 3.77847i) q^{21} +(-0.573484 + 2.51260i) q^{22} +(0.617691 + 2.00251i) q^{23} +(-4.63827 - 0.282147i) q^{24} +(4.70786 + 11.9954i) q^{25} +(1.44206 - 0.444815i) q^{26} +(-5.19154 + 0.218867i) q^{27} +(2.40899 + 2.68683i) q^{28} +(-3.02682 + 0.690852i) q^{29} +(5.81907 - 0.518355i) q^{30} +(-6.61413 - 3.81867i) q^{31} +(-1.71985 + 5.57560i) q^{32} +(5.23837 + 1.97147i) q^{33} +(-0.215753 - 0.172058i) q^{34} +(-8.62789 - 7.12481i) q^{35} +(-0.798117 + 4.01322i) q^{36} +(4.19171 - 3.88934i) q^{37} +(-3.45560 + 0.520848i) q^{38} +(-0.533936 - 3.23361i) q^{39} +(1.69109 - 11.2196i) q^{40} +(5.35893 - 2.58073i) q^{41} +(-3.02593 + 2.04965i) q^{42} +(-1.13376 - 0.545989i) q^{43} +(2.48285 - 3.64167i) q^{44} +(0.592435 - 12.6738i) q^{45} +(-0.124898 + 1.66665i) q^{46} +(-0.205644 + 0.523971i) q^{47} +(0.924020 + 0.429104i) q^{48} +(6.88217 + 1.27896i) q^{49} +10.2772i q^{50} +(-0.433561 + 0.413768i) q^{51} +(-2.57363 - 0.192867i) q^{52} +(-0.0176983 + 0.0190742i) q^{53} +(-3.91800 - 1.35018i) q^{54} +(-5.92970 + 12.3132i) q^{55} +(2.48009 + 6.65081i) q^{56} +(0.106587 + 7.58873i) q^{57} +(-2.44842 - 0.369040i) q^{58} +(2.74909 - 1.87430i) q^{59} +(-9.58766 - 2.81056i) q^{60} +(-4.20943 - 4.53669i) q^{61} +(-3.79771 - 4.76217i) q^{62} +(3.52243 + 7.11284i) q^{63} +(-2.16792 + 2.71849i) q^{64} +(7.98016 - 0.598030i) q^{65} +(3.31456 + 2.98994i) q^{66} +(6.45002 - 11.1718i) q^{67} +(0.235971 + 0.408714i) q^{68} +(3.54969 + 0.757907i) q^{69} +(-4.32941 - 7.80342i) q^{70} +(7.01155 + 1.60034i) q^{71} +(-4.34537 + 6.77476i) q^{72} +(-2.47732 + 0.972276i) q^{73} +(4.24519 - 1.66612i) q^{74} +(22.1148 + 3.01627i) q^{75} +(5.82665 + 1.32989i) q^{76} +(-0.493290 - 8.53543i) q^{77} +(0.545788 - 2.55622i) q^{78} +(-1.49210 - 2.58439i) q^{79} +(-1.24381 + 2.15435i) q^{80} +(-4.05527 + 8.03460i) q^{81} +(4.73045 - 0.354498i) q^{82} +(5.31648 - 6.66666i) q^{83} +(6.09782 - 1.37239i) q^{84} +(-0.912395 - 1.14411i) q^{85} +(-0.682621 - 0.735691i) q^{86} +(-1.51270 + 5.16028i) q^{87} +(7.16315 - 4.88375i) q^{88} +(-1.88700 - 0.284420i) q^{89} +(4.13262 - 9.23646i) q^{90} +(-4.18394 + 2.74913i) q^{91} +(1.24016 - 2.57522i) q^{92} +(-11.3620 + 6.77437i) q^{93} +(-0.305341 + 0.329080i) q^{94} +(-18.4797 - 1.38486i) q^{95} +(6.97734 + 7.31111i) q^{96} -11.3787i q^{97} +(4.73670 + 2.95478i) q^{98} +(7.40665 - 6.25486i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 192 q - 14 q^{3} - 44 q^{4} - 28 q^{6} - 28 q^{7} - 26 q^{9} - 28 q^{10} + 21 q^{12} - 28 q^{13} - 10 q^{15} - 20 q^{16} - 3 q^{18} - 42 q^{19} - 14 q^{21} - 34 q^{22} - 14 q^{24} - 16 q^{25} + 7 q^{27}+ \cdots - 136 q^{99}+O(q^{100}) $ 192 * q - 14 * q^3 - 44 * q^4 - 28 * q^6 - 28 * q^7 - 26 * q^9 - 28 * q^10 + 21 * q^12 - 28 * q^13 - 10 * q^15 - 20 * q^16 - 3 * q^18 - 42 * q^19 - 14 * q^21 - 34 * q^22 - 14 * q^24 - 16 * q^25 + 7 * q^27 - 70 * q^28 - q^30 - 42 * q^31 - 14 * q^33 + 28 * q^34 + 10 * q^36 + 46 * q^37 + 51 * q^39 + 112 * q^40 - 28 * q^42 - 36 * q^43 - 35 * q^45 + 148 * q^46 + 28 * q^49 - 20 * q^51 - 28 * q^52 - 14 * q^54 + 182 * q^55 + 2 * q^57 + 126 * q^58 - 132 * q^60 - 168 * q^61 - 119 * q^63 - 4 * q^64 - 42 * q^66 - 26 * q^67 + 70 * q^69 + 28 * q^70 + 6 * q^72 - 28 * q^73 - 140 * q^75 - 252 * q^76 + 36 * q^78 - 10 * q^79 + 134 * q^81 + 42 * q^82 + 56 * q^84 - 76 * q^85 + 98 * q^87 - 20 * q^88 + 175 * q^90 + 178 * q^93 + 322 * q^96 - 136 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/147\mathbb{Z}\right)^\times$.

$n$	$50$	$52$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

Coefficient data

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

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

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

$2$	0.742405	+	0.291372i	0.524959	+	0.206031i	0.612996	−	0.790086i	$-0.289964\pi$
$2$	0.742405	+	0.291372i	0.524959	+	0.206031i	−0.0880369	+	0.996117i	$0.528059\pi$
$3$	0.844874	−	1.51201i	0.487788	−	0.872962i
$3$	0.844874	−	1.51201i	0.487788	−	0.872962i
$4$	−0.999837	−	0.927713i	−0.499919	−	0.463857i
$5$	3.49434	+	2.38240i	1.56271	+	1.06544i	0.964492	+	0.264110i	$0.0850783\pi$
$5$	3.49434	+	2.38240i	1.56271	+	1.06544i	0.598222	+	0.801330i	$0.295874\pi$
$6$	1.06780	−	0.876354i	0.435926	−	0.357770i
$7$	−2.63459	−	0.242725i	−0.995783	−	0.0917415i
$7$	−2.63459	−	0.242725i	−0.995783	−	0.0917415i
$8$	−1.16405	−	2.41717i	−0.411553	−	0.854599i
$9$	−1.57238	−	2.55492i	−0.524125	−	0.851641i
$10$	1.90005	+	2.78686i	0.600847	+	0.881281i
$11$	0.481626	+	3.19538i	0.145216	+	0.963443i	0.936165	+	0.351561i	$0.114349\pi$
$11$	0.481626	+	3.19538i	0.145216	+	0.963443i	−0.790949	+	0.611882i	$0.790413\pi$
$12$	−2.24745	+	0.727967i	−0.648784	+	0.210146i
$13$	1.47939	−	1.17977i	0.410308	−	0.327210i	−0.396488	−	0.918040i	$-0.629771\pi$
$13$	1.47939	−	1.17977i	0.410308	−	0.327210i	0.806796	+	0.590830i	$0.201200\pi$
$14$	−1.88521	−	0.947848i	−0.503844	−	0.253323i
$15$	6.55449	−	3.27066i	1.69236	−	0.844481i
$16$	0.0439563	+	0.586557i	0.0109891	+	0.146639i
$17$	−0.330642	−	0.101990i	−0.0801925	−	0.0247361i	0.254399	−	0.967099i	$-0.418122\pi$
$17$	−0.330642	−	0.101990i	−0.0801925	−	0.0247361i	−0.334592	+	0.942363i	$0.608598\pi$
$18$	−0.422905	−	2.35493i	−0.0996797	−	0.555063i
$19$	−3.79474	+	2.19089i	−0.870573	+	0.502626i	−0.867539	−	0.497370i	$-0.834299\pi$
$19$	−3.79474	+	2.19089i	−0.870573	+	0.502626i	−0.00303461	+	0.999995i	$0.500966\pi$
$20$	−1.28358	−	5.62375i	−0.287018	−	1.25751i
$21$	−2.59290	+	3.77847i	−0.565818	+	0.824530i
$22$	−0.573484	+	2.51260i	−0.122267	+	0.535687i
$23$	0.617691	+	2.00251i	0.128798	+	0.417551i	0.996886	−	0.0788585i	$-0.0251275\pi$
$23$	0.617691	+	2.00251i	0.128798	+	0.417551i	−0.868088	+	0.496410i	$0.834651\pi$
$24$	−4.63827	−	0.282147i	−0.946784	−	0.0575931i
$25$	4.70786	+	11.9954i	0.941572	+	2.39909i
$26$	1.44206	−	0.444815i	0.282810	−	0.0872355i
$27$	−5.19154	+	0.218867i	−0.999113	+	0.0421209i
$28$	2.40899	+	2.68683i	0.455255	+	0.507764i
$29$	−3.02682	+	0.690852i	−0.562066	+	0.128288i	−0.494108	−	0.869400i	$-0.664505\pi$
$29$	−3.02682	+	0.690852i	−0.562066	+	0.128288i	−0.0679577	+	0.997688i	$0.521648\pi$
$30$	5.81907	−	0.518355i	1.06241	−	0.0946383i
$31$	−6.61413	−	3.81867i	−1.18793	−	0.685853i	−0.230097	−	0.973168i	$-0.573904\pi$
$31$	−6.61413	−	3.81867i	−1.18793	−	0.685853i	−0.957836	+	0.287314i	$0.907238\pi$
$32$	−1.71985	+	5.57560i	−0.304029	+	0.985637i
$33$	5.23837	+	1.97147i	0.911884	+	0.343188i
$34$	−0.215753	−	0.172058i	−0.0370014	−	0.0295076i
$35$	−8.62789	−	7.12481i	−1.45838	−	1.20431i
$36$	−0.798117	+	4.01322i	−0.133019	+	0.668870i
$37$	4.19171	−	3.88934i	0.689113	−	0.639404i	−0.255798	−	0.966730i	$-0.582338\pi$
$37$	4.19171	−	3.88934i	0.689113	−	0.639404i	0.944911	+	0.327327i	$0.106148\pi$
$38$	−3.45560	+	0.520848i	−0.560572	+	0.0844927i
$39$	−0.533936	−	3.23361i	−0.0854982	−	0.517792i
$40$	1.69109	−	11.2196i	0.267385	−	1.77398i
$41$	5.35893	−	2.58073i	0.836925	−	0.403042i	0.0342172	−	0.999414i	$-0.489106\pi$
$41$	5.35893	−	2.58073i	0.836925	−	0.403042i	0.802708	+	0.596373i	$0.203392\pi$
$42$	−3.02593	+	2.04965i	−0.466910	+	0.316269i
$43$	−1.13376	−	0.545989i	−0.172896	−	0.0832626i	0.345434	−	0.938443i	$-0.387732\pi$
$43$	−1.13376	−	0.545989i	−0.172896	−	0.0832626i	−0.518330	+	0.855181i	$0.673446\pi$
$44$	2.48285	−	3.64167i	0.374303	−	0.549002i
$45$	0.592435	−	12.6738i	0.0883150	−	1.88930i
$46$	−0.124898	+	1.66665i	−0.0184152	+	0.245734i
$47$	−0.205644	+	0.523971i	−0.0299962	+	0.0764290i	−0.945087	−	0.326819i	$-0.894023\pi$
$47$	−0.205644	+	0.523971i	−0.0299962	+	0.0764290i	0.915091	+	0.403248i	$0.132119\pi$
$48$	0.924020	+	0.429104i	0.133371	+	0.0619358i
$49$	6.88217	+	1.27896i	0.983167	+	0.182709i
$50$			10.2772i			1.45342i
$51$	−0.433561	+	0.413768i	−0.0607107	+	0.0579390i
$52$	−2.57363	−	0.192867i	−0.356899	−	0.0267459i
$53$	−0.0176983	+	0.0190742i	−0.00243104	+	0.00262004i	−0.734266	−	0.678862i	$-0.762474\pi$
$53$	−0.0176983	+	0.0190742i	−0.00243104	+	0.00262004i	0.731835	+	0.681482i	$0.238664\pi$
$54$	−3.91800	−	1.35018i	−0.533172	−	0.183737i
$55$	−5.92970	+	12.3132i	−0.799561	+	1.66031i
$56$	2.48009	+	6.65081i	0.331416	+	0.888752i
$57$	0.106587	+	7.58873i	0.0141178	+	1.00515i
$58$	−2.44842	−	0.369040i	−0.321493	−	0.0484573i
$59$	2.74909	−	1.87430i	0.357901	−	0.244013i	−0.370999	−	0.928633i	$-0.620985\pi$
$59$	2.74909	−	1.87430i	0.357901	−	0.244013i	0.728899	+	0.684621i	$0.240032\pi$
$60$	−9.58766	−	2.81056i	−1.23776	−	0.362842i
$61$	−4.20943	−	4.53669i	−0.538963	−	0.580864i	0.403582	−	0.914943i	$-0.367765\pi$
$61$	−4.20943	−	4.53669i	−0.538963	−	0.580864i	−0.942545	+	0.334080i	$0.891575\pi$
$62$	−3.79771	−	4.76217i	−0.482309	−	0.604797i
$63$	3.52243	+	7.11284i	0.443784	+	0.896134i
$64$	−2.16792	+	2.71849i	−0.270990	+	0.339811i
$65$	7.98016	−	0.598030i	0.989817	−	0.0741765i
$66$	3.31456	+	2.98994i	0.407994	+	0.368037i
$67$	6.45002	−	11.1718i	0.787995	−	1.36485i	−0.139198	−	0.990265i	$-0.544452\pi$
$67$	6.45002	−	11.1718i	0.787995	−	1.36485i	0.927193	−	0.374583i	$-0.122214\pi$
$68$	0.235971	+	0.408714i	0.0286157	+	0.0495639i
$69$	3.54969	+	0.757907i	0.427332	+	0.0912413i
$70$	−4.32941	−	7.80342i	−0.517463	−	0.932687i
$71$	7.01155	+	1.60034i	0.832118	+	0.189925i	0.617299	−	0.786729i	$-0.288227\pi$
$71$	7.01155	+	1.60034i	0.832118	+	0.189925i	0.214818	+	0.976654i	$0.431084\pi$
$72$	−4.34537	+	6.77476i	−0.512106	+	0.798413i
$73$	−2.47732	+	0.972276i	−0.289948	+	0.113796i	−0.505857	−	0.862617i	$-0.668824\pi$
$73$	−2.47732	+	0.972276i	−0.289948	+	0.113796i	0.215909	+	0.976413i	$0.430729\pi$
$74$	4.24519	−	1.66612i	0.493494	−	0.193682i
$75$	22.1148	+	3.01627i	2.55360	+	0.348289i
$76$	5.82665	+	1.32989i	0.668362	+	0.152549i
$77$	−0.493290	−	8.53543i	−0.0562156	−	0.972703i
$78$	0.545788	−	2.55622i	0.0617984	−	0.289435i
$79$	−1.49210	−	2.58439i	−0.167874	−	0.290767i	0.769798	−	0.638288i	$-0.220357\pi$
$79$	−1.49210	−	2.58439i	−0.167874	−	0.290767i	−0.937672	+	0.347521i	$0.887024\pi$
$80$	−1.24381	+	2.15435i	−0.139063	+	0.240863i
$81$	−4.05527	+	8.03460i	−0.450585	+	0.892733i
$82$	4.73045	−	0.354498i	0.522391	−	0.0391478i
$83$	5.31648	−	6.66666i	0.583560	−	0.731761i	−0.399156	−	0.916883i	$-0.630697\pi$
$83$	5.31648	−	6.66666i	0.583560	−	0.731761i	0.982716	+	0.185122i	$0.0592681\pi$
$84$	6.09782	−	1.37239i	0.665327	−	0.149739i
$85$	−0.912395	−	1.14411i	−0.0989632	−	0.124096i
$86$	−0.682621	−	0.735691i	−0.0736089	−	0.0793316i
$87$	−1.51270	+	5.16028i	−0.162179	+	0.553240i
$88$	7.16315	−	4.88375i	0.763594	−	0.520610i
$89$	−1.88700	−	0.284420i	−0.200022	−	0.0301484i	0.0482672	−	0.998834i	$-0.484630\pi$
$89$	−1.88700	−	0.284420i	−0.200022	−	0.0301484i	−0.248289	+	0.968686i	$0.579868\pi$
$90$	4.13262	−	9.23646i	0.435616	−	0.973608i
$91$	−4.18394	+	2.74913i	−0.438596	+	0.288188i
$92$	1.24016	−	2.57522i	0.129296	−	0.268485i
$93$	−11.3620	+	6.77437i	−1.17818	+	0.702469i
$94$	−0.305341	+	0.329080i	−0.0314936	+	0.0339420i
$95$	−18.4797	−	1.38486i	−1.89598	−	0.142084i
$96$	6.97734	+	7.31111i	0.712122	+	0.746187i
$97$		−	11.3787i		−	1.15533i	−0.816275	−	0.577664i	$-0.803965\pi$
$97$		−	11.3787i		−	1.15533i	0.816275	−	0.577664i	$-0.196035\pi$
$98$	4.73670	+	2.95478i	0.478479	+	0.298478i
$99$	7.40665	−	6.25486i	0.744397	−	0.628637i
$100$	6.42123	−	16.3610i	0.642123	−	1.63610i
$101$	0.156030	−	2.08207i	0.0155255	−	0.207174i	−0.984046	−	0.177913i	$-0.943065\pi$
$101$	0.156030	−	2.08207i	0.0155255	−	0.207174i	0.999572	−	0.0292612i	$-0.00931546\pi$
$102$	−0.442438	+	0.180855i	−0.0438079	+	0.0179073i
$103$	−0.391449	+	0.574150i	−0.0385706	+	0.0565727i	−0.845040	−	0.534704i	$-0.820423\pi$
$103$	−0.391449	+	0.574150i	−0.0385706	+	0.0565727i	0.806469	+	0.591276i	$0.201376\pi$
$104$	−4.57379	−	2.20262i	−0.448497	−	0.215985i
$105$	−18.0623	+	7.02592i	−1.76270	+	0.685660i
$106$	−0.0186970	+	0.00900398i	−0.00181601	+	0.000874544i
$107$	−0.820171	+	5.44148i	−0.0792890	+	0.526048i	0.913563	+	0.406697i	$0.133319\pi$
$107$	−0.820171	+	5.44148i	−0.0792890	+	0.526048i	−0.992852	+	0.119351i	$0.961919\pi$
$108$	5.39374	+	4.59743i	0.519013	+	0.442388i
$109$	−8.92446	+	1.34515i	−0.854808	+	0.128842i	−0.561805	−	0.827270i	$-0.689893\pi$
$109$	−8.92446	+	1.34515i	−0.854808	+	0.128842i	−0.293003	+	0.956111i	$0.594655\pi$
$110$	−7.98995	+	7.41359i	−0.761812	+	0.706858i
$111$	−2.33927	−	9.62393i	−0.222034	−	0.913463i
$112$	0.0265650	−	1.55601i	0.00251015	−	0.147029i
$113$	10.0000	+	7.97474i	0.940722	+	0.750201i	0.968396	−	0.249416i	$-0.0802387\pi$
$113$	10.0000	+	7.97474i	0.940722	+	0.750201i	−0.0276744	+	0.999617i	$0.508810\pi$
$114$	−2.13202	+	5.66497i	−0.199682	+	0.530573i
$115$	−2.61235	+	8.46902i	−0.243602	+	0.789740i
$116$	3.66724	+	2.11728i	0.340495	+	0.196585i
$117$	−5.34038	−	1.92468i	−0.493718	−	0.177936i
$118$	2.58705	−	0.590478i	0.238158	−	0.0543579i
$119$	0.846353	+	0.348957i	0.0775850	+	0.0319888i
$120$	−15.5355	−	12.0361i	−1.41819	−	1.09874i
$121$	0.532814	−	0.164351i	0.0484376	−	0.0149410i
$122$	−1.80324	−	4.59457i	−0.163257	−	0.415973i
$123$	0.625528	−	10.2832i	0.0564020	−	0.927203i
$124$	3.07042	+	9.95406i	0.275732	+	0.893901i
$125$	−7.42160	+	32.5162i	−0.663809	+	2.90834i
$126$	0.542581	+	6.30694i	0.0483370	+	0.561867i
$127$	2.64772	+	11.6004i	0.234947	+	1.02937i	0.945473	+	0.325699i	$0.105600\pi$
$127$	2.64772	+	11.6004i	0.234947	+	1.02937i	−0.710527	+	0.703670i	$0.751543\pi$
$128$	7.70465	−	4.44828i	0.681001	−	0.393176i
$129$	−1.78343	+	1.25297i	−0.157022	+	0.110318i
$130$	6.09875	+	1.88122i	0.534896	+	0.164994i
$131$	−0.891613	−	11.8978i	−0.0779006	−	1.03951i	−0.889990	−	0.455979i	$-0.849289\pi$
$131$	−0.891613	−	11.8978i	−0.0779006	−	1.03951i	0.812090	−	0.583532i	$-0.198330\pi$
$132$	−3.40856	−	6.83085i	−0.296677	−	0.594550i
$133$	10.5294	−	4.85104i	0.913014	−	0.420638i
$134$	8.04367	−	6.41461i	0.694867	−	0.554138i
$135$	−18.6624	−	11.6035i	−1.60620	−	0.998672i
$136$	0.138357	+	0.917940i	0.0118640	+	0.0787127i
$137$	−1.67583	−	2.45799i	−0.143176	−	0.210000i	0.747952	−	0.663753i	$-0.231037\pi$
$137$	−1.67583	−	2.45799i	−0.143176	−	0.210000i	−0.891128	+	0.453753i	$0.850085\pi$
$138$	2.41447	+	1.59695i	0.205534	+	0.135942i
$139$	−0.0696046	−	0.144535i	−0.00590379	−	0.0122593i	0.897996	−	0.440003i	$-0.145023\pi$
$139$	−0.0696046	−	0.144535i	−0.00590379	−	0.0122593i	−0.903900	+	0.427744i	$0.859308\pi$
$140$	2.01670	+	15.1279i	0.170442	+	1.27854i
$141$	0.618509	+	0.753626i	0.0520879	+	0.0634667i
$142$	4.73911	+	3.23107i	0.397697	+	0.271145i
$143$	4.48233	+	4.15899i	0.374831	+	0.347792i
$144$	1.42949	−	1.03459i	0.119124	−	0.0862161i
$145$	−12.2226	−	4.79702i	−1.01503	−	0.398371i
$146$	−2.12247			−0.175657
$147$	7.74838	−	9.32538i	0.639075	−	0.769144i
$148$	−7.79922			−0.641092
$149$	−15.7437	−	6.17894i	−1.28977	−	0.506199i	−0.381420	−	0.924402i	$-0.624565\pi$
$149$	−15.7437	−	6.17894i	−1.28977	−	0.506199i	−0.908354	+	0.418203i	$0.862660\pi$
$150$	15.5393	+	8.68294i	1.26878	+	0.708959i
$151$	−0.400341	−	0.371462i	−0.0325793	−	0.0302291i	0.663715	−	0.747985i	$-0.268979\pi$
$151$	−0.400341	−	0.371462i	−0.0325793	−	0.0302291i	−0.696294	+	0.717756i	$0.745169\pi$
$152$	9.71303	+	6.62223i	0.787831	+	0.537134i
$153$	0.259318	+	1.00513i	0.0209646	+	0.0812601i
$154$	2.12077	−	6.48047i	0.170896	−	0.522211i
$155$	−14.0144	−	29.1012i	−1.12566	−	2.33747i
$156$	−2.46602	+	3.72842i	−0.197439	+	0.298513i
$157$	−5.01620	−	7.35741i	−0.400336	−	0.587185i	0.572149	−	0.820150i	$-0.306110\pi$
$157$	−5.01620	−	7.35741i	−0.400336	−	0.587185i	−0.972485	+	0.232964i	$0.925157\pi$
$158$	−0.354721	−	2.35342i	−0.0282201	−	0.187228i
$159$	0.0138876	+	0.0428753i	0.00110136	+	0.00340023i
$160$	−19.2930	+	15.3857i	−1.52525	+	1.21634i
$161$	−1.14131	−	5.42572i	−0.0899476	−	0.427607i
$162$	−5.35171	+	4.78333i	−0.420470	+	0.375814i
$163$	1.51038	+	20.1546i	0.118302	+	1.57863i	0.668574	+	0.743645i	$0.266905\pi$
$163$	1.51038	+	20.1546i	0.118302	+	1.57863i	−0.550272	+	0.834985i	$0.685476\pi$
$164$	−7.75224	−	2.39125i	−0.605348	−	0.186725i
$165$	13.6078	+	19.3689i	1.05937	+	1.50786i
$166$	5.88946	−	3.40028i	0.457111	−	0.263913i
$167$	2.42522	+	10.6256i	0.187669	+	0.822232i	0.977841	+	0.209347i	$0.0671340\pi$
$167$	2.42522	+	10.6256i	0.187669	+	0.822232i	−0.790172	+	0.612885i	$0.790009\pi$
$168$	12.1515	+	1.86917i	0.937507	+	0.144210i
$169$	−2.09605	+	9.18339i	−0.161234	+	0.706414i
$170$	−0.344005	−	1.11524i	−0.0263840	−	0.0855348i
$171$	11.5643	+	6.25036i	0.884346	+	0.477977i
$172$	0.627052	+	1.59770i	0.0478123	+	0.121824i
$173$	−23.6531	+	7.29602i	−1.79831	+	0.554706i	−0.998936	−	0.0461245i	$-0.985313\pi$
$173$	−23.6531	+	7.29602i	−1.79831	+	0.554706i	−0.799377	+	0.600830i	$0.794837\pi$
$174$	−2.62660	+	3.39025i	−0.199122	+	0.257014i
$175$	−9.49170	−	32.7458i	−0.717505	−	2.47535i
$176$	−1.85310	+	0.422958i	−0.139683	+	0.0318817i
$177$	−0.511330	−	5.74020i	−0.0384339	−	0.431460i
$178$	−1.31805	−	0.760974i	−0.0987917	−	0.0570374i
$179$	−1.71260	+	5.55211i	−0.128006	+	0.414984i	−0.996776	−	0.0802303i	$-0.974434\pi$
$179$	−1.71260	+	5.55211i	−0.128006	+	0.414984i	0.868771	+	0.495215i	$0.164911\pi$
$180$	−12.3500	+	12.1221i	−0.920513	+	0.903529i
$181$	18.2593	+	14.5613i	1.35720	+	1.08233i	0.988244	+	0.152883i	$0.0488559\pi$
$181$	18.2593	+	14.5613i	1.35720	+	1.08233i	0.368955	+	0.929447i	$0.379716\pi$
$182$	−3.90720	+	0.821884i	−0.289621	+	0.0609221i
$183$	−10.4160	+	2.53179i	−0.769972	+	0.187156i
$184$	4.12138	−	3.82408i	0.303832	−	0.281915i
$185$	23.9132	−	3.60434i	1.75813	−	0.264996i
$186$	−10.4091	+	1.71875i	−0.763229	+	0.126025i
$187$	0.166650	−	1.10565i	0.0121866	−	0.0808530i
$188$	0.691705	−	0.333108i	0.0504478	−	0.0242944i
$189$	13.7307	+	0.683493i	0.998763	+	0.0497168i
$190$	−13.3159	−	6.41259i	−0.966036	−	0.465219i
$191$	2.72219	−	3.99271i	0.196970	−	0.288903i	−0.715028	−	0.699095i	$-0.753586\pi$
$191$	2.72219	−	3.99271i	0.196970	−	0.288903i	0.911999	+	0.410193i	$0.134539\pi$
$192$	2.27877	+	5.57471i	0.164456	+	0.402320i
$193$	−0.599004	+	7.99315i	−0.0431173	+	0.575360i	0.933248	+	0.359233i	$0.116962\pi$
$193$	−0.599004	+	7.99315i	−0.0431173	+	0.575360i	−0.976365	+	0.216127i	$0.930657\pi$
$194$	3.31542	−	8.44756i	0.238034	−	0.606500i
$195$	5.83800	−	12.5714i	0.418068	−	0.900255i
$196$	−5.69454	−	7.66344i	−0.406753	−	0.547388i
$197$			18.5786i			1.32367i	0.749651	+	0.661834i	$0.230221\pi$
$197$			18.5786i			1.32367i	−0.749651	+	0.661834i	$0.769779\pi$
$198$	7.32122	−	2.48554i	0.520297	−	0.176640i
$199$	−20.8449	−	1.56211i	−1.47765	−	0.110735i	−0.688636	−	0.725107i	$-0.741790\pi$
$199$	−20.8449	−	1.56211i	−1.47765	−	0.110735i	−0.789016	+	0.614372i	$0.789409\pi$
$200$	23.5148	−	25.3430i	1.66275	−	1.79202i
$201$	−11.4424	−	19.1913i	−0.807086	−	1.35365i
$202$	0.722496	−	1.50028i	0.0508346	−	0.105559i
$203$	8.14213	−	1.08543i	0.571465	−	0.0761821i
$204$	0.817348	−	0.0114800i	0.0572258	−	0.000803758i
$205$	24.8742	+	3.74919i	1.73729	+	0.261855i
$206$	−0.457905	+	0.312194i	−0.0319037	+	0.0217516i
$207$	4.14501	−	4.72685i	0.288098	−	0.328539i
$208$	0.757031	+	0.815886i	0.0524907	+	0.0565715i
$209$	−8.82839	−	11.0704i	−0.610672	−	0.765759i
$210$	−15.4567	−	0.0467781i	−1.06661	−	0.00322800i
$211$	5.75995	−	7.22275i	0.396531	−	0.497235i	−0.542983	−	0.839744i	$-0.682705\pi$
$211$	5.75995	−	7.22275i	0.396531	−	0.497235i	0.939515	+	0.342509i	$0.111277\pi$
$212$	0.0353907	−	0.00265217i	0.00243065	−	0.000182152i
$213$	8.34361	−	9.24948i	0.571695	−	0.633764i
$214$	−2.19440	+	3.80081i	−0.150006	+	0.259818i
$215$	−2.66097	−	4.60893i	−0.181477	−	0.314327i
$216$	6.57224	+	12.2941i	0.447185	+	0.836506i
$217$	16.4987	+	11.6661i	1.12000	+	0.791944i
$218$	−7.01750	−	1.60170i	−0.475285	−	0.108481i
$219$	−0.622927	+	4.56719i	−0.0420935	+	0.308622i
$220$	17.3518	−	6.81008i	1.16986	−	0.459136i
$221$	−0.609472	+	0.239200i	−0.0409975	+	0.0160903i
$222$	1.06746	−	7.82645i	0.0716434	−	0.525277i
$223$	5.66397	+	1.29276i	0.379288	+	0.0865699i	0.407914	−	0.913020i	$-0.366256\pi$
$223$	5.66397	+	1.29276i	0.379288	+	0.0865699i	−0.0286266	+	0.999590i	$0.509113\pi$
$224$	5.88443	−	14.2720i	0.393170	−	0.953588i
$225$	23.2449	−	30.8895i	1.54966	−	2.05930i
$226$	5.10043	+	8.83421i	0.339276	+	0.587643i
$227$	−2.10964	+	3.65400i	−0.140022	+	0.242525i	−0.927505	−	0.373812i	$-0.878051\pi$
$227$	−2.10964	+	3.65400i	−0.140022	+	0.242525i	0.787483	+	0.616337i	$0.211384\pi$
$228$	6.93360	−	7.68638i	0.459189	−	0.509043i
$229$	−13.2834	+	0.995450i	−0.877789	+	0.0657812i	−0.505997	−	0.862535i	$-0.668875\pi$
$229$	−13.2834	+	0.995450i	−0.877789	+	0.0657812i	−0.371792	+	0.928316i	$0.621256\pi$
$230$	−4.40705	+	5.52627i	−0.290593	+	0.364391i
$231$	−13.3225	−	6.46550i	−0.876554	−	0.425399i
$232$	5.19327	+	6.51216i	0.340955	+	0.427544i
$233$	7.89621	+	8.51009i	0.517298	+	0.557514i	0.936631	−	0.350318i	$-0.113927\pi$
$233$	7.89621	+	8.51009i	0.517298	+	0.557514i	−0.419333	+	0.907832i	$0.637736\pi$
$234$	−3.40392	−	2.98493i	−0.222521	−	0.195131i
$235$	−1.96690	+	1.34101i	−0.128306	+	0.0874776i
$236$	−4.48745	−	0.676374i	−0.292108	−	0.0440282i
$237$	−5.16827	+	0.0725904i	−0.335715	+	0.00471525i
$238$	0.526660	+	0.505671i	0.0341383	+	0.0327778i
$239$	10.3947	−	21.5848i	0.672377	−	1.39620i	−0.233371	−	0.972388i	$-0.574976\pi$
$239$	10.3947	−	21.5848i	0.672377	−	1.39620i	0.905748	−	0.423817i	$-0.139310\pi$
$240$	2.20654	+	3.70082i	0.142432	+	0.238887i
$241$	−2.36673	+	2.55073i	−0.152454	+	0.164307i	−0.804661	−	0.593734i	$-0.797653\pi$
$241$	−2.36673	+	2.55073i	−0.152454	+	0.164307i	0.652207	+	0.758041i	$0.273843\pi$
$242$	0.443451	+	0.0332320i	0.0285061	+	0.00213624i
$243$	8.72224	+	12.9198i	0.559532	+	0.828809i
$244$			8.44110i			0.540386i
$245$	21.0016	+	20.8652i	1.34174	+	1.33303i
$246$	3.46063	−	7.45201i	0.220642	−	0.475123i
$247$	−3.02913	+	7.71811i	−0.192739	+	0.491091i
$248$	−1.53121	+	20.4326i	−0.0972321	+	1.29747i
$249$	−5.58833	−	13.6711i	−0.354146	−	0.866370i
$250$	−14.9841	+	21.9777i	−0.947681	+	1.38999i
$251$	6.13030	+	2.95220i	0.386941	+	0.186341i	0.617233	−	0.786781i	$-0.288254\pi$
$251$	6.13030	+	2.95220i	0.386941	+	0.186341i	−0.230292	+	0.973122i	$0.573968\pi$
$252$	3.07682	−	10.3795i	0.193822	−	0.653846i
$253$	−6.10127	+	2.93822i	−0.383584	+	0.184724i
$254$	−1.41436	+	9.38367i	−0.0887448	+	0.588784i
$255$	−2.50077	+	0.412928i	−0.156604	+	0.0258586i
$256$	13.8926	−	2.09397i	0.868285	−	0.130873i
$257$	15.3777	−	14.2684i	0.959232	−	0.890037i	−0.0347704	−	0.999395i	$-0.511070\pi$
$257$	15.3777	−	14.2684i	0.959232	−	0.890037i	0.994002	+	0.109358i	$0.0348795\pi$
$258$	−1.68910	+	0.410567i	−0.105159	+	0.0255608i
$259$	−11.9875	+	9.22940i	−0.744867	+	0.573487i
$260$	−8.53366	−	6.80537i	−0.529235	−	0.422051i
$261$	6.52437	+	6.64701i	0.403848	+	0.411440i
$262$	2.80474	−	9.09274i	0.173277	−	0.561751i
$263$	26.2707	+	15.1674i	1.61992	+	0.935262i	0.986939	+	0.161095i	$0.0515025\pi$
$263$	26.2707	+	15.1674i	1.61992	+	0.935262i	0.632982	+	0.774167i	$0.281831\pi$
$264$	−1.33235	−	14.9569i	−0.0820002	−	0.920536i
$265$	−0.107286	+	0.0244873i	−0.00659052	+	0.00150424i
$266$	9.23052	−	0.533461i	0.565960	−	0.0327086i
$267$	−2.02432	+	2.61287i	−0.123887	+	0.159905i
$268$	−16.8132	+	5.18617i	−1.02703	+	0.316796i
$269$	0.414613	+	1.05642i	0.0252794	+	0.0644108i	0.942956	−	0.332917i	$-0.108033\pi$
$269$	0.414613	+	1.05642i	0.0252794	+	0.0644108i	−0.917677	+	0.397328i	$0.869938\pi$
$270$	−10.4741	−	14.0522i	−0.637434	−	0.855191i
$271$	−8.83109	−	28.6297i	−0.536450	−	1.73913i	−0.664428	−	0.747352i	$-0.731325\pi$
$271$	−8.83109	−	28.6297i	−0.536450	−	1.73913i	0.127978	−	0.991777i	$-0.459151\pi$
$272$	0.0452889	−	0.198424i	0.00274604	−	0.0120312i
$273$	0.621826	+	8.64885i	0.0376346	+	0.523452i
$274$	−0.527953	−	2.31311i	−0.0318948	−	0.139740i
$275$	−36.0625	+	20.8207i	−2.17465	+	1.25554i
$276$	−2.84599	−	4.05088i	−0.171309	−	0.243834i
$277$	8.84026	+	2.72686i	0.531160	+	0.163841i	0.548722	−	0.836005i	$-0.315114\pi$
$277$	8.84026	+	2.72686i	0.531160	+	0.163841i	−0.0175625	+	0.999846i	$0.505591\pi$
$278$	−0.00956115	−	0.127585i	−0.000573440	−	0.00765202i
$279$	0.643489	+	22.9030i	0.0385247	+	1.37117i
$280$	−7.17862	+	29.1487i	−0.429005	+	1.74197i
$281$	−19.8941	+	15.8650i	−1.18678	+	0.946428i	−0.999357	−	0.0358512i	$-0.988586\pi$
$281$	−19.8941	+	15.8650i	−1.18678	+	0.946428i	−0.187426	+	0.982279i	$0.560014\pi$
$282$	0.239598	+	0.739712i	0.0142679	+	0.0440492i
$283$	1.54559	+	10.2543i	0.0918757	+	0.609556i	0.986627	+	0.162992i	$0.0521144\pi$
$283$	1.54559	+	10.2543i	0.0918757	+	0.609556i	−0.894752	+	0.446564i	$0.852648\pi$
$284$	−5.52575	−	8.10478i	−0.327893	−	0.480930i
$285$	−17.7069	+	26.7715i	−1.04887	+	1.58581i
$286$	2.11589	+	4.39368i	0.125115	+	0.259804i
$287$	−14.7450	+	5.49842i	−0.870371	+	0.324561i
$288$	16.9495	−	4.37287i	0.998758	−	0.257674i
$289$	−13.9471	−	9.50900i	−0.820420	−	0.559353i
$290$	−7.67640	−	7.12266i	−0.450774	−	0.418257i
$291$	−17.2047	−	9.61353i	−1.00856	−	0.563555i
$292$	3.37891	+	1.32612i	0.197736	+	0.0776056i
$293$	−6.15851			−0.359784			−0.179892	−	0.983686i	$-0.557575\pi$
$293$	−6.15851			−0.359784			−0.179892	+	0.983686i	$0.557575\pi$
$294$	8.46959	−	4.66554i	0.493956	−	0.272100i
$295$	14.0716			0.819278
$296$	−14.2806	−	5.60471i	−0.830041	−	0.325767i
$297$	−3.19974	−	16.4835i	−0.185668	−	0.956472i
$298$	−9.88782	−	9.17455i	−0.572786	−	0.531468i
$299$	3.27630	+	2.23375i	0.189474	+	0.129181i
$300$	−19.3130	−	23.5320i	−1.11503	−	1.35862i
$301$	2.85447	+	1.71365i	0.164529	+	0.0987732i
$302$	−0.188981	−	0.392423i	−0.0108746	−	0.0225814i
$303$	−3.01630	−	1.99501i	−0.173282	−	0.114610i
$304$	−1.45189	−	2.12953i	−0.0832714	−	0.122137i
$305$	−3.90097	−	25.8813i	−0.223369	−	1.48196i
$306$	−0.100349	+	0.821773i	−0.00573654	+	0.0469776i
$307$	20.5767	−	16.4093i	1.17437	−	0.936531i	0.175522	−	0.984475i	$-0.443839\pi$
$307$	20.5767	−	16.4093i	1.17437	−	0.936531i	0.998850	+	0.0479446i	$0.0152671\pi$
$308$	−7.42522	+	8.99167i	−0.423091	+	0.512348i
$309$	0.537398	+	1.07696i	0.0305715	+	0.0612662i
$310$	−1.92507	−	25.6883i	−0.109337	−	1.45900i
$311$	16.2015	+	4.99749i	0.918701	+	0.283382i	0.717816	−	0.696233i	$-0.245142\pi$
$311$	16.2015	+	4.99749i	0.918701	+	0.283382i	0.200885	+	0.979615i	$0.435618\pi$
$312$	−7.19467	+	5.05470i	−0.407318	+	0.286166i
$313$	14.2972	−	8.25452i	0.808128	−	0.466573i	−0.0381772	−	0.999271i	$-0.512155\pi$
$313$	14.2972	−	8.25452i	0.808128	−	0.466573i	0.846305	+	0.532698i	$0.178822\pi$
$314$	−1.58030	−	6.92375i	−0.0891816	−	0.390730i
$315$	−4.63707	+	33.2465i	−0.261269	+	1.87323i
$316$	−0.905718	+	3.96821i	−0.0509506	+	0.223229i
$317$	−1.45275	−	4.70971i	−0.0815948	−	0.264524i	0.905578	−	0.424180i	$-0.139438\pi$
$317$	−1.45275	−	4.70971i	−0.0815948	−	0.264524i	−0.987173	+	0.159656i	$0.948961\pi$
$318$	−0.00218242	+	0.0358773i	−0.000122384	+	0.00201190i
$319$	−3.66533	−	9.33910i	−0.205219	−	0.522889i
$320$	−14.0520	+	4.33446i	−0.785529	+	0.242304i
$321$	7.53466	+	5.83748i	0.420544	+	0.325816i
$322$	0.733593	−	4.36062i	0.0408815	−	0.243008i
$323$	1.47815	−	0.337378i	0.0822465	−	0.0187722i
$324$	11.5084	−	4.27117i	0.639356	−	0.237287i
$325$	21.1166	+	12.1917i	1.17134	+	0.676273i
$326$	−4.75118	+	15.4030i	−0.263144	+	0.853091i
$327$	−5.50617	+	14.6304i	−0.304492	+	0.809063i
$328$	−12.4761	−	9.94937i	−0.688879	−	0.549362i
$329$	0.668968	−	1.33054i	0.0368814	−	0.0733548i
$330$	4.45896	+	18.3445i	0.245457	+	1.00983i
$331$	−6.99678	+	6.49206i	−0.384578	+	0.356836i	−0.848644	−	0.528965i	$-0.822580\pi$
$331$	−6.99678	+	6.49206i	−0.384578	+	0.356836i	0.464066	+	0.885800i	$0.346390\pi$
$332$	−11.5004	+	1.73340i	−0.631165	+	0.0951328i
$333$	−16.5279	−	4.59400i	−0.905724	−	0.251750i
$334$	−1.29551	+	8.59512i	−0.0708870	+	0.470304i
$335$	49.1541	−	23.6714i	2.68558	−	1.29331i
$336$	−2.33026	−	1.35480i	−0.127126	−	0.0739103i
$337$	3.96756	+	1.91068i	0.216127	+	0.104081i	0.538815	−	0.842424i	$-0.318872\pi$
$337$	3.96756	+	1.91068i	0.216127	+	0.104081i	−0.322688	+	0.946505i	$0.604586\pi$
$338$	−4.23190	+	6.20706i	−0.230185	+	0.337619i
$339$	20.5067	−	8.38251i	1.11377	−	0.455275i
$340$	−0.149157	+	1.99036i	−0.00808918	+	0.107943i
$341$	9.01656	−	22.9738i	0.488274	−	1.24410i
$342$	6.76423	+	8.00982i	0.365767	+	0.433122i
$343$	−17.8213	−	5.04003i	−0.962259	−	0.272136i
$344$			3.37605i			0.182024i
$345$	10.5982	+	11.1052i	0.570586	+	0.597881i
$346$	−19.6860	−	1.47526i	−1.05833	−	0.0793107i
$347$	−8.94069	+	9.63577i	−0.479961	+	0.517275i	−0.925890	−	0.377793i	$-0.876683\pi$
$347$	−8.94069	+	9.63577i	−0.479961	+	0.517275i	0.445929	+	0.895068i	$0.352873\pi$
$348$	6.29971	−	3.75608i	0.337700	−	0.201347i
$349$	−4.94669	+	10.2719i	−0.264790	+	0.549842i	−0.990395	−	0.138270i	$-0.955846\pi$
$349$	−4.94669	+	10.2719i	−0.264790	+	0.549842i	0.725605	+	0.688112i	$0.241560\pi$
$350$	2.49453	−	27.0762i	0.133338	−	1.44729i
$351$	−7.42208	+	6.44862i	−0.396161	+	0.344202i
$352$	−18.6445	−	2.81020i	−0.993755	−	0.149784i
$353$	−23.9040	+	16.2975i	−1.27228	+	0.867428i	−0.995616	−	0.0935372i	$-0.970183\pi$
$353$	−23.9040	+	16.2975i	−1.27228	+	0.867428i	−0.276668	+	0.960966i	$0.589230\pi$
$354$	1.29292	−	4.41054i	0.0687181	−	0.234418i
$355$	20.6881	+	22.2964i	1.09801	+	1.18337i
$356$	1.62283	+	2.03497i	0.0860100	+	0.107853i
$357$	1.24269	−	0.984873i	0.0657701	−	0.0521250i
$358$	−2.88917	+	3.62291i	−0.152698	+	0.191477i
$359$	−18.3194	+	1.37285i	−0.966863	+	0.0724564i	−0.548793	−	0.835958i	$-0.684912\pi$
$359$	−18.3194	+	1.37285i	−0.966863	+	0.0724564i	−0.418070	+	0.908415i	$0.637293\pi$
$360$	−31.3243	+	13.3209i	−1.65094	+	0.702072i
$361$	0.100040	−	0.173275i	0.00526529	−	0.00911974i
$362$	9.31300	+	16.1306i	0.489481	+	0.847805i
$363$	0.201659	−	0.944478i	0.0105844	−	0.0495723i
$364$	6.73367	+	1.13281i	0.352940	+	0.0593755i
$365$	−10.9729	−	2.50450i	−0.574350	−	0.131092i
$366$	−8.47057	−	1.15531i	−0.442764	−	0.0603892i
$367$	14.8792	−	5.83967i	0.776690	−	0.304828i	0.0563146	−	0.998413i	$-0.482065\pi$
$367$	14.8792	−	5.83967i	0.776690	−	0.304828i	0.720375	+	0.693585i	$0.243970\pi$
$368$	−1.14743	+	0.450334i	−0.0598140	+	0.0234753i
$369$	−15.0198	−	9.63379i	−0.781900	−	0.501515i
$370$	18.8035	+	4.29177i	0.977546	+	0.223119i
$371$	0.0512575	−	0.0459569i	0.00266116	−	0.00238596i
$372$	17.6448	+	3.76741i	0.914841	+	0.195331i
$373$	−1.30395	−	2.25850i	−0.0675158	−	0.116941i	0.830291	−	0.557330i	$-0.188174\pi$
$373$	−1.30395	−	2.25850i	−0.0675158	−	0.116941i	−0.897807	+	0.440389i	$0.854841\pi$
$374$	0.445877	−	0.772281i	0.0230557	−	0.0399337i
$375$	42.8946	+	38.6936i	2.21507	+	1.99813i
$376$	1.50591	−	0.112852i	0.0776613	−	0.00581991i
$377$	−3.66279	+	4.59299i	−0.188643	+	0.236551i
$378$	9.99460	+	4.50818i	0.514067	+	0.231876i
$379$	−12.0491	−	15.1091i	−0.618922	−	0.776104i	0.369270	−	0.929322i	$-0.379608\pi$
$379$	−12.0491	−	15.1091i	−0.618922	−	0.776104i	−0.988192	+	0.153218i	$0.951036\pi$
$380$	17.1919	+	18.5285i	0.881927	+	0.950491i
$381$	19.7770	+	5.79749i	1.01320	+	0.297015i
$382$	3.18433	−	2.17104i	0.162924	−	0.111080i
$383$	21.1620	+	3.18966i	1.08133	+	0.162984i	0.665455	−	0.746438i	$-0.268238\pi$
$383$	21.1620	+	3.18966i	1.08133	+	0.162984i	0.415874	+	0.909422i	$0.363476\pi$
$384$	−0.216408	−	15.4078i	−0.0110435	−	0.786275i
$385$	18.6111	−	31.0009i	0.948508	−	1.57995i
$386$	−2.77369	+	5.75962i	−0.141177	+	0.293157i
$387$	0.387733	+	3.75517i	0.0197096	+	0.190886i
$388$	−10.5561	+	11.3768i	−0.535906	+	0.577569i
$389$	−7.11710	−	0.533353i	−0.360851	−	0.0270420i	−0.106929	−	0.994267i	$-0.534102\pi$
$389$	−7.11710	−	0.533353i	−0.360851	−	0.0270420i	−0.253922	+	0.967225i	$0.581721\pi$
$390$	7.99711	−	7.63201i	0.404949	−	0.386462i
$391$		−	0.725111i		−	0.0366705i
$392$	−4.91970	−	18.1242i	−0.248483	−	0.915408i
$393$	−18.7429	−	8.70397i	−0.945453	−	0.439057i
$394$	−5.41328	+	13.7928i	−0.272717	+	0.694871i
$395$	0.943153	−	12.5855i	0.0474552	−	0.633246i
$396$	−13.2082	−	0.617414i	−0.663735	−	0.0310262i
$397$	4.53530	−	6.65207i	0.227620	−	0.333858i	−0.695390	−	0.718632i	$-0.744768\pi$
$397$	4.53530	−	6.65207i	0.227620	−	0.333858i	0.923011	+	0.384775i	$0.125721\pi$
$398$	−15.0202	−	7.23333i	−0.752893	−	0.362574i
$399$	1.56116	−	20.0191i	0.0781560	−	1.00221i
$400$	−6.82906	+	3.28870i	−0.341453	+	0.164435i
$401$	5.40302	−	35.8467i	0.269814	−	1.79010i	−0.285417	−	0.958403i	$-0.592132\pi$
$401$	5.40302	−	35.8467i	0.269814	−	1.79010i	0.555232	−	0.831696i	$-0.312630\pi$
$402$	−2.90310	−	17.5817i	−0.144793	−	0.876894i
$403$	−14.2900	+	2.15387i	−0.711836	+	0.107292i
$404$	−2.08757	+	1.93698i	−0.103861	+	0.0963685i
$405$	−33.3121	+	18.4143i	−1.65529	+	0.915015i
$406$	6.36102	+	1.56656i	0.315692	+	0.0777472i
$407$	14.4468	+	11.5209i	0.716099	+	0.571070i
$408$	1.50483	+	0.566346i	0.0745004	+	0.0280383i
$409$	9.64474	−	31.2675i	0.476902	−	1.54608i	−0.323270	−	0.946307i	$-0.604782\pi$
$409$	9.64474	−	31.2675i	0.476902	−	1.54608i	0.800172	−	0.599771i	$-0.204742\pi$
$410$	17.3743	+	10.0311i	0.858057	+	0.495400i
$411$	−5.13238	+	0.457186i	−0.253162	+	0.0225513i
$412$	0.924032	−	0.210904i	0.0455238	−	0.0103905i
$413$	−7.69767	+	4.27074i	−0.378777	+	0.210149i
$414$	4.45454	−	2.30149i	0.218929	−	0.113112i
$415$	34.4602	−	10.6296i	1.69159	−	0.521785i
$416$	4.03362	+	10.2775i	0.197765	+	0.503896i
$417$	−0.277347	−	0.0168711i	−0.0135817	−	0.000826180i
$418$	−3.32861	−	10.7911i	−0.162808	−	0.527810i
$419$	−2.40835	+	10.5517i	−0.117655	+	0.515482i	0.881414	+	0.472345i	$0.156592\pi$
$419$	−2.40835	+	10.5517i	−0.117655	+	0.515482i	−0.999069	+	0.0431372i	$0.986265\pi$
$420$	24.5774	+	9.73186i	1.19925	+	0.474866i
$421$	−5.79160	−	25.3746i	−0.282265	−	1.23668i	−0.894881	−	0.446304i	$-0.852740\pi$
$421$	−5.79160	−	25.3746i	−0.282265	−	1.23668i	0.612616	−	0.790380i	$-0.290117\pi$
$422$	6.38072	−	3.68391i	0.310609	−	0.179330i
$423$	1.66206	−	0.298476i	0.0808119	−	0.0145124i
$424$	0.0667072	+	0.0205764i	0.00323959	+	0.000999281i
$425$	−0.333208	−	4.44635i	−0.0161630	−	0.215680i
$426$	8.88938	−	4.43576i	0.430692	−	0.214913i
$427$	9.98898	+	12.9741i	0.483401	+	0.627859i
$428$	5.86817	−	4.67971i	0.283649	−	0.226202i
$429$	10.0755	−	3.26352i	0.486448	−	0.157564i
$430$	−0.632600	−	4.19702i	−0.0305067	−	0.202399i
$431$	6.51629	+	9.55764i	0.313879	+	0.460375i	0.950466	−	0.310829i	$-0.100607\pi$
$431$	6.51629	+	9.55764i	0.313879	+	0.460375i	−0.636587	+	0.771205i	$0.719654\pi$
$432$	−0.356579	−	3.03551i	−0.0171559	−	0.146046i
$433$	−13.6289	−	28.3007i	−0.654964	−	1.36005i	−0.918509	−	0.395399i	$-0.870606\pi$
$433$	−13.6289	−	28.3007i	−0.654964	−	1.36005i	0.263546	−	0.964647i	$-0.415108\pi$
$434$	8.84951	+	13.4682i	0.424790	+	0.646494i
$435$	−17.5797	+	14.4279i	−0.842883	+	0.691764i
$436$	10.1709	+	6.93441i	0.487099	+	0.332098i
$437$	−6.73126	−	6.24570i	−0.322000	−	0.298772i
$438$	−1.79322	+	3.20920i	−0.0856833	+	0.153342i
$439$	−26.9158	−	10.5637i	−1.28462	−	0.504177i	−0.377876	−	0.925856i	$-0.623346\pi$
$439$	−26.9158	−	10.5637i	−1.28462	−	0.504177i	−0.906745	+	0.421679i	$0.861441\pi$
$440$	36.6655			1.74796
$441$	−7.55370	−	19.5944i	−0.359700	−	0.933068i
$442$	−0.522171			−0.0248372
$443$	24.0856	+	9.45290i	1.14434	+	0.449121i	0.860349	−	0.509706i	$-0.170246\pi$
$443$	24.0856	+	9.45290i	1.14434	+	0.449121i	0.283992	+	0.958827i	$0.408341\pi$
$444$	−6.58936	+	11.7925i	−0.312717	+	0.559649i
$445$	−5.91621	−	5.48944i	−0.280455	−	0.260225i
$446$	3.82828	+	2.61008i	0.181274	+	0.123591i
$447$	−22.6441	+	18.5843i	−1.07103	+	0.879006i
$448$	6.37144	−	6.63590i	0.301022	−	0.313517i
$449$	9.62624	+	19.9891i	0.454290	+	0.943344i	0.994785	+	0.101996i	$0.0325229\pi$
$449$	9.62624	+	19.9891i	0.454290	+	0.943344i	−0.540494	+	0.841348i	$0.681763\pi$
$450$	26.2575	−	16.1596i	1.23779	−	0.761772i
$451$	10.8274	+	15.8809i	0.509842	+	0.747802i
$452$	−2.60011	−	17.2506i	−0.122299	−	0.811399i
$453$	−0.899893	+	0.291482i	−0.0422807	+	0.0136950i
$454$	−2.63088	+	2.09806i	−0.123473	+	0.0984667i
$455$	−21.1696	−	0.361419i	−0.992448	−	0.0169436i
$456$	18.2192	−	9.09129i	0.853192	−	0.425739i
$457$	−0.539753	−	7.20250i	−0.0252486	−	0.336919i	−0.995496	−	0.0948034i	$-0.969778\pi$
$457$	−0.539753	−	7.20250i	−0.0252486	−	0.336919i	0.970247	−	0.242116i	$-0.0778413\pi$
$458$	−10.1517	−	3.13138i	−0.474356	−	0.146320i
$459$	1.73887	+	0.457117i	0.0811633	+	0.0213364i
$460$	10.4687	−	6.04413i	0.488107	−	0.281809i
$461$	4.91896	+	21.5514i	0.229099	+	1.00375i	0.950377	+	0.311101i	$0.100698\pi$
$461$	4.91896	+	21.5514i	0.229099	+	1.00375i	−0.721278	+	0.692645i	$0.756445\pi$
$462$	−8.00679	−	8.68181i	−0.372509	−	0.403915i
$463$	−5.52047	+	24.1868i	−0.256558	+	1.12405i	0.668345	+	0.743852i	$0.267003\pi$
$463$	−5.52047	+	24.1868i	−0.256558	+	1.12405i	−0.924903	+	0.380203i	$0.875854\pi$
$464$	−0.538272	−	1.74503i	−0.0249886	−	0.0810112i
$465$	−55.8419	−	3.39687i	−2.58960	−	0.157526i
$466$	3.38258	+	8.61866i	0.156695	+	0.399252i
$467$	1.59498	−	0.491986i	0.0738069	−	0.0227664i	−0.257632	−	0.966243i	$-0.582942\pi$
$467$	1.59498	−	0.491986i	0.0738069	−	0.0227664i	0.331439	+	0.943477i	$0.392466\pi$
$468$	3.55396	+	6.87870i	0.164282	+	0.317968i
$469$	−19.7049	+	27.8675i	−0.909885	+	1.28680i
$470$	−1.85096	+	0.422470i	−0.0853786	+	0.0194871i
$471$	−15.3626	+	1.36848i	−0.707870	+	0.0630562i
$472$	−7.73057	−	4.46325i	−0.355828	−	0.205438i
$473$	1.19860	−	3.88575i	0.0551115	−	0.178667i
$474$	−3.85810	−	1.45200i	−0.177208	−	0.0666926i
$475$	−44.1458	−	35.2051i	−2.02555	−	1.61532i
$476$	−0.522483	−	1.13407i	−0.0239480	−	0.0519801i
$477$	0.0765614	+	0.0152259i	0.00350551	+	0.000697146i
$478$	14.0063	−	12.9959i	0.640632	−	0.594420i
$479$	−25.6714	+	3.86935i	−1.17296	+	0.176795i	−0.706477	−	0.707736i	$-0.749717\pi$
$479$	−25.6714	+	3.86935i	−1.17296	+	0.176795i	−0.466481	+	0.884531i	$0.654478\pi$
$480$	6.96319	+	42.1703i	0.317825	+	1.92480i
$481$	1.61263	−	10.6991i	0.0735296	−	0.487837i
$482$	−2.50028	+	1.20407i	−0.113885	+	0.0548440i
$483$	−9.16803	−	2.85838i	−0.417160	−	0.130061i
$484$	−0.685198	−	0.329974i	−0.0311454	−	0.0149988i
$485$	27.1085	−	39.7608i	1.23093	−	1.80545i
$486$	2.71095	+	12.1332i	0.122971	+	0.550372i
$487$	−2.73658	+	36.5171i	−0.124006	+	1.65475i	0.494654	+	0.869090i	$0.335295\pi$
$487$	−2.73658	+	36.5171i	−0.124006	+	1.65475i	−0.618660	+	0.785659i	$0.712324\pi$
$488$	−6.06598	+	15.4559i	−0.274594	+	0.699654i
$489$	31.7501	+	14.7444i	1.43579	+	0.666764i
$490$	9.51215	+	21.6097i	0.429715	+	0.976227i
$491$			4.78299i			0.215853i	0.994159	+	0.107927i	$0.0344211\pi$
$491$			4.78299i			0.215853i	−0.994159	+	0.107927i	$0.965579\pi$
$492$	−10.1653	+	9.70119i	−0.458285	+	0.437363i
$493$	1.07125	+	0.0802794i	0.0482469	+	0.00361560i
$494$	−4.49769	+	4.84735i	−0.202360	+	0.218093i
$495$	40.7829	−	4.21097i	1.83305	−	0.189269i
$496$	1.94913	−	4.04742i	0.0875187	−	0.181734i
$497$	−18.0841	−	5.91812i	−0.811184	−	0.265464i
$498$	−0.165423	−	11.7778i	−0.00741279	−	0.527774i
$499$	−3.76365	−	0.567279i	−0.168484	−	0.0253949i	0.0642584	−	0.997933i	$-0.479532\pi$
$499$	−3.76365	−	0.567279i	−0.168484	−	0.0253949i	−0.232742	+	0.972538i	$0.574770\pi$
$500$	37.5861	−	25.6258i	1.68090	−	1.14602i
$501$	18.1150	+	5.31031i	0.809320	+	0.237247i
$502$	3.69097	+	3.97792i	0.164736	+	0.177543i
$503$	−18.5394	−	23.2477i	−0.826630	−	1.03656i	−0.998674	−	0.0514725i	$-0.983609\pi$
$503$	−18.5394	−	23.2477i	−0.826630	−	1.03656i	0.172044	−	0.985089i	$-0.444963\pi$
$504$	13.0927	−	16.7940i	0.583194	−	0.748064i
$505$	5.50555	−	6.90374i	0.244994	−	0.307212i
$506$	−5.38573	+	0.403604i	−0.239425	+	0.0179424i
$507$	12.1145	+	10.9281i	0.538025	+	0.485332i
$508$	8.11456	−	14.0548i	0.360026	−	0.623583i
$509$	16.1913	+	28.0442i	0.717669	+	1.24304i	0.961921	+	0.273327i	$0.0881240\pi$
$509$	16.1913	+	28.0442i	0.717669	+	1.24304i	−0.244253	+	0.969712i	$0.578543\pi$
$510$	−1.97690	−	0.422094i	−0.0875384	−	0.0186906i
$511$	6.76273	−	1.96025i	0.299165	−	0.0867161i
$512$	−6.42300	−	1.46601i	−0.283859	−	0.0647890i
$513$	19.2210	−	12.2047i	0.848630	−	0.538849i
$514$	15.5739	−	6.11229i	0.686933	−	0.269601i
$515$	−2.73571	+	1.07369i	−0.120550	+	0.0473123i
$516$	2.94553	+	0.401746i	0.129670	+	0.0176859i
$517$	−1.77333	−	0.404751i	−0.0779910	−	0.0178009i
$518$	−11.5888	+	3.35912i	−0.509181	+	0.147591i
$519$	−8.95221	+	41.9281i	−0.392958	+	1.84044i
$520$	−10.7348	−	18.5933i	−0.470754	−	0.815369i
$521$	15.8233	−	27.4067i	0.693230	−	1.20071i	−0.277544	−	0.960713i	$-0.589520\pi$
$521$	15.8233	−	27.4067i	0.693230	−	1.20071i	0.970774	−	0.239997i	$-0.0771464\pi$
$522$	2.90697	+	6.83579i	0.127234	+	0.299195i
$523$	27.0641	−	2.02817i	1.18343	−	0.0886858i	0.531563	−	0.847019i	$-0.321605\pi$
$523$	27.0641	−	2.02817i	1.18343	−	0.0886858i	0.651867	+	0.758333i	$0.273986\pi$
$524$	−10.1462	+	12.7230i	−0.443240	+	0.555806i
$525$	−57.5314	−	13.3145i	−2.51088	−	0.581091i
$526$	15.0841	+	18.9149i	0.657699	+	0.824729i
$527$	1.79745	+	1.93719i	0.0782980	+	0.0843852i
$528$	−0.926118	+	3.15926i	−0.0403041	+	0.137489i
$529$	15.3750	−	10.4825i	0.668478	−	0.455761i
$530$	−0.0867845	−	0.0130807i	−0.00376968	−	0.000568187i
$531$	−9.11128	−	4.07661i	−0.395396	−	0.176910i
$532$	−15.0280	−	4.91800i	−0.651548	−	0.213222i
$533$	4.88327	−	10.1402i	0.211518	−	0.439221i
$534$	−2.26419	+	1.34998i	−0.0979809	+	0.0584192i
$535$	−15.8297	+	17.0604i	−0.684379	+	0.737585i
$536$	−34.5122	−	2.58633i	−1.49070	−	0.111713i
$537$	6.94794	+	7.28031i	0.299826	+	0.314169i
$538$			0.905095i			0.0390214i
$539$	−0.772146	+	22.6071i	−0.0332587	+	0.973758i
$540$	7.89463	+	28.9150i	0.339731	+	1.24430i
$541$	−0.258128	+	0.657698i	−0.0110978	+	0.0282767i	−0.936315	−	0.351161i	$-0.885787\pi$
$541$	−0.258128	+	0.657698i	−0.0110978	+	0.0282767i	0.925217	+	0.379437i	$0.123882\pi$
$542$	1.78566	−	23.8279i	0.0767005	−	1.02350i
$543$	37.4436	−	15.3058i	1.60686	−	0.656836i
$544$	1.13731	−	1.66812i	0.0487617	−	0.0715202i
$545$	−34.3897	−	16.5612i	−1.47309	−	0.709405i
$546$	−2.05839	+	6.60213i	−0.0880910	+	0.282545i
$547$	35.3816	−	17.0389i	1.51281	−	0.728529i	0.520678	−	0.853753i	$-0.325679\pi$
$547$	35.3816	−	17.0389i	1.51281	−	0.728529i	0.992128	+	0.125224i	$0.0399650\pi$
$548$	−0.604753	+	4.01228i	−0.0258338	+	0.171396i
$549$	−4.97209	+	17.8882i	−0.212203	+	0.763448i
$550$	−32.8396	+	4.94977i	−1.40028	+	0.211059i
$551$	9.97241	−	9.25305i	0.424839	−	0.394193i
$552$	−2.30002	−	9.46245i	−0.0978953	−	0.402749i
$553$	3.30378	+	7.17099i	0.140491	+	0.304942i
$554$	5.76852	+	4.60024i	0.245081	+	0.195445i
$555$	14.7538	−	39.2023i	0.626266	−	1.66405i
$556$	−0.0644942	+	0.209085i	−0.00273516	+	0.00886718i
$557$	−15.8010	−	9.12271i	−0.669509	−	0.386541i	0.126381	−	0.991982i	$-0.459664\pi$
$557$	−15.8010	−	9.12271i	−0.669509	−	0.386541i	−0.795891	+	0.605440i	$0.792997\pi$
$558$	−6.19557	+	17.1908i	−0.262279	+	0.727743i
$559$	−2.32141	+	0.529846i	−0.0981851	+	0.0224101i
$560$	3.79986	−	5.37393i	0.160573	−	0.227090i
$561$	−1.53096	−	1.18611i	−0.0646371	−	0.0500776i
$562$	−19.3921	+	5.98167i	−0.818006	+	0.252322i
$563$	−10.9433	−	27.8831i	−0.461206	−	1.17513i	−0.952608	−	0.304200i	$-0.901611\pi$
$563$	−10.9433	−	27.8831i	−0.461206	−	1.17513i	0.491402	−	0.870933i	$-0.336484\pi$
$564$	0.0807401	−	1.32730i	0.00339977	−	0.0558895i
$565$	15.9444	+	51.6904i	0.670785	+	2.17463i
$566$	−1.84037	+	8.06319i	−0.0773565	+	0.338921i
$567$	12.6342	−	20.1836i	0.530586	−	0.847631i
$568$	−4.29349	−	18.8110i	−0.180151	−	0.789292i
$569$	1.42293	−	0.821531i	0.0596525	−	0.0344404i	−0.469877	−	0.882732i	$-0.655702\pi$
$569$	1.42293	−	0.821531i	0.0596525	−	0.0344404i	0.529530	+	0.848291i	$0.322368\pi$
$570$	−20.9462	+	14.7160i	−0.877339	+	0.616385i
$571$	−44.0663	−	13.5927i	−1.84412	−	0.568835i	−0.999437	−	0.0335650i	$-0.989314\pi$
$571$	−44.0663	−	13.5927i	−1.84412	−	0.568835i	−0.844681	−	0.535270i	$-0.820210\pi$
$572$	−0.623245	−	8.31663i	−0.0260592	−	0.347736i
$573$	−3.73714	−	7.48932i	−0.156121	−	0.312871i
$574$	−12.5489	−	0.214240i	−0.523779	−	0.00894222i
$575$	−21.1129	+	16.8370i	−0.880469	+	0.702151i
$576$	10.3543	+	1.26439i	0.431430	+	0.0526829i
$577$	4.51162	+	29.9326i	0.187821	+	1.24611i	0.861757	+	0.507322i	$0.169364\pi$
$577$	4.51162	+	29.9326i	0.187821	+	1.24611i	−0.673935	+	0.738790i	$0.735397\pi$
$578$	−7.58376	−	11.1233i	−0.315443	−	0.462670i
$579$	11.5797	+	7.65891i	0.481235	+	0.318294i
$580$	7.77036	+	16.1353i	0.322646	+	0.669982i
$581$	−15.6249	+	16.2735i	−0.648232	+	0.675138i
$582$	−9.97172	−	12.1501i	−0.413341	−	0.503638i
$583$	−0.0694732	−	0.0473660i	−0.00287729	−	0.00196170i
$584$	5.23388	+	4.85633i	0.216579	+	0.200956i
$585$	−14.0757	−	19.4484i	−0.581960	−	0.804091i
$586$	−4.57211	−	1.79442i	−0.188872	−	0.0741268i
$587$	−19.3962			−0.800568			−0.400284	−	0.916391i	$-0.631088\pi$
$587$	−19.3962			−0.800568			−0.400284	+	0.916391i	$0.631088\pi$
$588$	−16.3984	+	2.13558i	−0.676258	+	0.0880700i
$589$	33.4652			1.37891
$590$	10.4468	+	4.10006i	0.430087	+	0.168797i
$591$	28.0910	+	15.6965i	1.15551	+	0.645669i
$592$	2.46557	+	2.28772i	0.101334	+	0.0940245i
$593$	−38.7216	−	26.3999i	−1.59011	−	1.08412i	−0.948359	−	0.317198i	$-0.897258\pi$
$593$	−38.7216	−	26.3999i	−1.59011	−	1.08412i	−0.641746	−	0.766917i	$-0.721790\pi$
$594$	2.42734	−	13.1698i	0.0995950	−	0.540362i
$595$	2.12609	+	3.23572i	0.0871611	+	0.132652i
$596$	10.0088	+	20.7836i	0.409978	+	0.851328i
$597$	−19.9732	+	30.1979i	−0.817449	+	1.23592i
$598$	1.78149	+	2.61297i	0.0728506	+	0.106852i
$599$	4.18462	+	27.7631i	0.170979	+	1.13437i	0.895481	+	0.445099i	$0.146832\pi$
$599$	4.18462	+	27.7631i	0.170979	+	1.13437i	−0.724502	+	0.689272i	$0.757930\pi$
$600$	−18.4519	−	56.9664i	−0.753294	−	2.32564i
$601$	−3.43488	+	2.73923i	−0.140112	+	0.111735i	−0.691038	−	0.722819i	$-0.742846\pi$
$601$	−3.43488	+	2.73923i	−0.140112	+	0.111735i	0.550926	+	0.834554i	$0.314275\pi$
$602$	1.61986	+	2.10394i	0.0660205	+	0.0857500i
$603$	−38.6849	+	1.08690i	−1.57537	+	0.0442621i
$604$	0.0556654	+	0.742803i	0.00226499	+	0.0302242i
$605$	2.25338	+	0.695076i	0.0916129	+	0.0282589i
$606$	−1.65802	−	2.35997i	−0.0673526	−	0.0958672i
$607$	−25.4340	+	14.6843i	−1.03233	+	0.596018i	−0.917652	−	0.397384i	$-0.869918\pi$
$607$	−25.4340	+	14.6843i	−1.03233	+	0.596018i	−0.114682	+	0.993402i	$0.536585\pi$
$608$	−5.68919	−	24.9260i	−0.230727	−	1.01088i
$609$	5.23789	−	13.2281i	0.212250	−	0.536028i
$610$	4.64498	−	20.3510i	0.188070	−	0.823988i
$611$	0.313940	+	1.01777i	0.0127006	+	0.0411745i
$612$	0.673198	−	1.24554i	0.0272124	−	0.0503480i
$613$	3.31410	+	8.44420i	0.133855	+	0.341058i	0.982048	−	0.188629i	$-0.0604045\pi$
$613$	3.31410	+	8.44420i	0.133855	+	0.341058i	−0.848193	+	0.529687i	$0.822309\pi$
$614$	20.0574	−	6.18690i	0.809452	−	0.249683i
$615$	26.6844	−	34.4426i	1.07602	−	1.38886i
$616$	−20.0574	+	11.1280i	−0.808135	+	0.448361i
$617$	32.3168	−	7.37610i	1.30103	−	0.296951i	0.484770	−	0.874642i	$-0.338903\pi$
$617$	32.3168	−	7.37610i	1.30103	−	0.296951i	0.816255	+	0.577691i	$0.196046\pi$
$618$	0.0851703	+	0.956124i	0.00342605	+	0.0384609i
$619$	18.1559	+	10.4823i	0.729746	+	0.421319i	0.818329	−	0.574750i	$-0.194901\pi$
$619$	18.1559	+	10.4823i	0.729746	+	0.421319i	−0.0885833	+	0.996069i	$0.528234\pi$
$620$	−12.9855	+	42.0978i	−0.521508	+	1.69069i
$621$	−3.64505	−	10.2609i	−0.146271	−	0.411756i
$622$	10.5719	+	8.43082i	0.423895	+	0.338045i
$623$	4.90244	+	1.20735i	0.196412	+	0.0483716i
$624$	1.87323	−	0.455322i	0.0749891	−	0.0182275i
$625$	−56.1688	+	52.1170i	−2.24675	+	2.08468i
$626$	13.0195	−	1.96237i	0.520363	−	0.0784321i
$627$	−24.1976	+	3.99552i	−0.966357	+	0.159566i
$628$	−1.81019	+	12.0098i	−0.0722343	+	0.479243i
$629$	−1.78263	+	0.858469i	−0.0710781	+	0.0342294i
$630$	−13.1297	+	23.3312i	−0.523099	+	0.929538i
$631$	−25.3240	−	12.1954i	−1.00813	−	0.485491i	−0.144441	−	0.989513i	$-0.546139\pi$
$631$	−25.3240	−	12.1954i	−1.00813	−	0.485491i	−0.863690	+	0.504023i	$0.831853\pi$
$632$	−4.51004	+	6.61502i	−0.179400	+	0.263131i
$633$	−6.05447	−	14.8114i	−0.240644	−	0.588702i
$634$	0.293749	−	3.91980i	0.0116662	−	0.155675i
$635$	−18.3848	+	46.8436i	−0.729577	+	1.85893i
$636$	0.0258906	−	0.0557521i	0.00102663	−	0.00221071i
$637$	11.6903	−	6.22730i	0.463185	−	0.246735i
$638$		−	8.00137i		−	0.316777i
$639$	−6.93604	−	20.4303i	−0.274386	−	0.808210i
$640$	37.5202	+	2.81175i	1.48312	+	0.111144i
$641$	−8.47180	+	9.13043i	−0.334616	+	0.360630i	−0.877837	−	0.478959i	$-0.841014\pi$
$641$	−8.47180	+	9.13043i	−0.334616	+	0.360630i	0.543221	+	0.839590i	$0.317205\pi$
$642$	3.89288	+	6.52916i	0.153640	+	0.257685i
$643$	11.6417	−	24.1742i	0.459103	−	0.953337i	−0.534995	−	0.844855i	$-0.679687\pi$
$643$	11.6417	−	24.1742i	0.459103	−	0.953337i	0.994098	−	0.108482i	$-0.0345991\pi$
$644$	−3.89239	+	6.48364i	−0.153382	+	0.255491i
$645$	−9.21696	+	0.129456i	−0.362917	+	0.00509731i
$646$	1.19569	+	0.180221i	0.0470437	+	0.00709070i
$647$	−18.8603	+	12.8587i	−0.741474	+	0.505528i	−0.874165	−	0.485629i	$-0.838591\pi$
$647$	−18.8603	+	12.8587i	−0.741474	+	0.505528i	0.132691	+	0.991157i	$0.457638\pi$
$648$	24.1415	+	0.449615i	0.948369	+	0.0176626i
$649$	7.31312	+	7.88167i	0.287065	+	0.309383i
$650$	12.1247	+	15.2039i	0.475572	+	0.596348i
$651$	31.5785	−	15.0899i	1.23766	−	0.591418i
$652$	17.1876	−	21.5525i	0.673117	−	0.844062i
$653$	32.7625	−	2.45521i	1.28210	−	0.0960798i	0.583805	−	0.811894i	$-0.301563\pi$
$653$	32.7625	−	2.45521i	1.28210	−	0.0960798i	0.698291	+	0.715814i	$0.253944\pi$
$654$	−8.35069	+	9.25733i	−0.326538	+	0.361990i
$655$	25.2296	−	43.6989i	0.985801	−	1.70746i
$656$	1.74930	+	3.02988i	0.0682988	+	0.118297i
$657$	6.37937	+	4.80058i	0.248883	+	0.187288i
$658$	0.884326	−	0.792877i	0.0344746	−	0.0309096i
$659$	2.72219	+	0.621322i	0.106041	+	0.0242033i	0.275212	−	0.961383i	$-0.411252\pi$
$659$	2.72219	+	0.621322i	0.106041	+	0.0242033i	−0.169171	+	0.985587i	$0.554109\pi$
$660$	4.36315	−	31.9899i	0.169835	−	1.24520i
$661$	−30.8087	+	12.0915i	−1.19832	+	0.470306i	−0.878762	−	0.477261i	$-0.841630\pi$
$661$	−30.8087	+	12.0915i	−1.19832	+	0.470306i	−0.319558	+	0.947567i	$0.603534\pi$
$662$	−7.08605	+	2.78107i	−0.275407	+	0.108089i
$663$	−0.153253	+	1.12362i	−0.00595185	+	0.0436380i
$664$	−22.3031	−	5.09054i	−0.865529	−	0.197551i
$665$	48.3503	+	8.13403i	1.87494	+	0.315424i
$666$	−10.9318	−	8.22638i	−0.423600	−	0.318766i
$667$	−3.25307	−	5.63449i	−0.125960	−	0.218168i
$668$	7.43267	−	12.8738i	0.287579	−	0.498101i
$669$	6.74002	−	7.47178i	0.260584	−	0.288876i
$670$	43.3894	−	3.25159i	1.67628	−	0.125620i
$671$	12.4691	−	15.6357i	0.481363	−	0.603610i
$672$	−16.6079	−	20.9554i	−0.640662	−	0.808372i
$673$	23.7904	+	29.8322i	0.917051	+	1.14995i	0.988305	+	0.152488i	$0.0487285\pi$
$673$	23.7904	+	29.8322i	0.917051	+	1.14995i	−0.0712539	+	0.997458i	$0.522700\pi$
$674$	2.38882	+	2.57453i	0.0920138	+	0.0991673i
$675$	−27.0664	−	61.2444i	−1.04179	−	2.35730i
$676$	10.6153	−	7.23736i	0.408279	−	0.278360i
$677$	4.39676	+	0.662705i	0.168981	+	0.0254698i	0.232988	−	0.972480i	$-0.425150\pi$
$677$	4.39676	+	0.662705i	0.168981	+	0.0254698i	−0.0640066	+	0.997949i	$0.520388\pi$
$678$	17.6667	−	0.248135i	0.678485	−	0.00952958i
$679$	−2.76189	+	29.9781i	−0.105991	+	1.15045i
$680$	−1.70343	+	3.53721i	−0.0653236	+	0.135646i
$681$	3.74252	+	6.27698i	0.143414	+	0.240534i
$682$	13.3879	−	14.4287i	0.512648	−	0.552503i
$683$	29.4010	+	2.20330i	1.12500	+	0.0843070i	0.624206	−	0.781260i	$-0.285423\pi$
$683$	29.4010	+	2.20330i	1.12500	+	0.0843070i	0.500793	+	0.865567i	$0.333042\pi$
$684$	−5.76390	−	16.9777i	−0.220388	−	0.649160i
$685$		−	12.5815i		−	0.480715i
$686$	−11.7621	−	8.93437i	−0.449078	−	0.341116i
$687$	−9.71763	+	20.9257i	−0.370751	+	0.798364i
$688$	0.270418	−	0.689013i	0.0103096	−	0.0262684i
$689$	−0.00367939	+	0.0490980i	−0.000140173	+	0.00187048i
$690$	4.63240	+	11.3325i	0.176352	+	0.431422i
$691$	−10.9678	+	16.0869i	−0.417236	+	0.611973i	−0.976109	−	0.217280i	$-0.930281\pi$
$691$	−10.9678	+	16.0869i	−0.417236	+	0.611973i	0.558873	+	0.829253i	$0.311234\pi$
$692$	30.4179	+	14.6485i	1.15631	+	0.556851i
$693$	−21.0317	+	14.6812i	−0.798930	+	0.557693i
$694$	−9.44520	+	4.54857i	−0.358535	+	0.172661i
$695$	0.101119	−	0.670881i	0.00383567	−	0.0254480i
$696$	14.2341	−	2.35035i	0.539544	−	0.0890898i
$697$	−2.03510	+	0.306742i	−0.0770848	+	0.0116187i
$698$	−6.66539	+	6.18458i	−0.252289	+	0.234090i
$699$	19.5387	−	4.74923i	0.739020	−	0.179632i
$700$	−20.8886	+	41.5460i	−0.789513	+	1.57029i
$701$	17.6321	+	14.0612i	0.665956	+	0.531083i	0.897095	−	0.441838i	$-0.145674\pi$
$701$	17.6321	+	14.0612i	0.665956	+	0.531083i	−0.231138	+	0.972921i	$0.574245\pi$
$702$	−7.38914	+	2.62490i	−0.278885	+	0.0990703i
$703$	−7.38533	+	23.9426i	−0.278543	+	0.903014i
$704$	−9.73073	−	5.61804i	−0.366741	−	0.211738i
$705$	0.365843	+	4.10696i	0.0137784	+	0.154677i
$706$	−22.4951	+	5.13436i	−0.846615	+	0.193234i
$707$	−0.916447	+	5.44754i	−0.0344665	+	0.204876i
$708$	−4.81402	+	6.21364i	−0.180922	+	0.233523i
$709$	−7.47884	+	2.30692i	−0.280874	+	0.0866381i	−0.431991	−	0.901878i	$-0.642189\pi$
$709$	−7.47884	+	2.30692i	−0.280874	+	0.0866381i	0.151118	+	0.988516i	$0.451713\pi$
$710$	8.86235	+	22.5809i	0.332598	+	0.847446i
$711$	−4.25678	+	7.87583i	−0.159642	+	0.295367i
$712$	1.50907	+	4.89228i	0.0565548	+	0.183346i
$713$	3.56142	−	15.6036i	0.133376	−	0.584359i
$714$	1.20954	−	0.369089i	0.0452660	−	0.0138128i
$715$	5.75438	+	25.2116i	0.215202	+	0.942861i
$716$	6.86309	−	3.96241i	0.256486	−	0.148082i
$717$	−23.8543	−	33.9534i	−0.890856	−	1.26801i
$718$	−14.0004	−	4.31857i	−0.522492	−	0.161167i
$719$	0.366415	+	4.88946i	0.0136650	+	0.182346i	0.999860	+	0.0167560i	$0.00533384\pi$
$719$	0.366415	+	4.88946i	0.0136650	+	0.182346i	−0.986195	+	0.165590i	$0.947047\pi$
$720$	7.45994	−	0.209597i	0.278015	−	0.00781121i
$721$	1.17067	−	1.41764i	0.0435980	−	0.0527956i
$722$	0.124758	−	0.0994912i	0.00464301	−	0.00370268i
$723$	1.85715	+	5.73357i	0.0690681	+	0.213234i
$724$	−4.74760	−	31.4982i	−0.176443	−	1.17062i
$725$	−22.5369	−	33.0556i	−0.836999	−	1.22765i
$726$	0.424907	−	0.642427i	0.0157698	−	0.0238427i
$727$	0.304880	+	0.633089i	0.0113074	+	0.0234800i	0.906546	−	0.422107i	$-0.138709\pi$
$727$	0.304880	+	0.633089i	0.0113074	+	0.0234800i	−0.895239	+	0.445587i	$0.852995\pi$
$728$	11.5154	+	6.91318i	0.426791	+	0.256220i
$729$	26.9042	−	2.27251i	0.996452	−	0.0841671i
$730$	−7.41661	−	5.05656i	−0.274501	−	0.187152i
$731$	0.319183	+	0.296159i	0.0118054	+	0.0109538i
$732$	12.7631	+	7.13166i	0.471736	+	0.263594i
$733$	−12.4083	−	4.86991i	−0.458312	−	0.179874i	0.124942	−	0.992164i	$-0.460125\pi$
$733$	−12.4083	−	4.86991i	−0.458312	−	0.179874i	−0.583254	+	0.812290i	$0.698221\pi$
$734$	12.7479			0.470535
$735$	49.2922	−	14.1263i	1.81817	−	0.521055i
$736$	−12.2275			−0.450712
$737$	38.8045	+	15.2297i	1.42938	+	0.560991i
$738$	−8.34376	−	11.5285i	−0.307138	−	0.424371i
$739$	9.41010	+	8.73130i	0.346156	+	0.321186i	0.834020	−	0.551733i	$-0.186033\pi$
$739$	9.41010	+	8.73130i	0.346156	+	0.321186i	−0.487864	+	0.872919i	$0.662224\pi$
$740$	−27.2531	−	18.5809i	−1.00184	−	0.683046i
$741$	9.11065	+	11.1009i	0.334688	+	0.407803i
$742$	0.0514444	−	0.0191836i	0.00188858	−	0.000704252i
$743$	−10.1600	−	21.0975i	−0.372735	−	0.773992i	0.627253	−	0.778815i	$-0.284179\pi$
$743$	−10.1600	−	21.0975i	−0.372735	−	0.773992i	−0.999988	+	0.00482290i	$0.998465\pi$
$744$	29.6007	+	19.5782i	1.08522	+	0.717772i
$745$	−40.2930	−	59.0990i	−1.47622	−	2.16522i
$746$	−0.309991	−	2.05666i	−0.0113496	−	0.0752995i
$747$	−25.3923	−	3.10071i	−0.929056	−	0.113449i
$748$	−1.19235	+	0.950865i	−0.0435965	+	0.0347671i
$749$	3.48160	−	14.1370i	0.127215	−	0.516555i
$750$	20.5709	+	41.2246i	0.751143	+	1.50531i
$751$	0.734583	+	9.80232i	0.0268053	+	0.357692i	0.994438	+	0.105328i	$0.0335891\pi$
$751$	0.734583	+	9.80232i	0.0268053	+	0.357692i	−0.967632	+	0.252364i	$0.918792\pi$
$752$	−0.316378	−	0.0975897i	−0.0115371	−	0.00355873i
$753$	9.64310	−	6.77487i	0.351414	−	0.246890i
$754$	−4.05754	+	2.34262i	−0.147767	+	0.0853133i
$755$	−0.513955	−	2.25178i	−0.0187047	−	0.0819508i
$756$	−13.0944	−	13.4216i	−0.476239	−	0.488137i
$757$	5.95225	−	26.0785i	0.216338	−	0.947840i	−0.743819	−	0.668381i	$-0.766988\pi$
$757$	5.95225	−	26.0785i	0.216338	−	0.947840i	0.960158	−	0.279459i	$-0.0901552\pi$
$758$	−4.54295	−	14.7279i	−0.165007	−	0.534940i
$759$	−0.712178	+	11.7076i	−0.0258504	+	0.424960i
$760$	18.1638	+	46.2806i	0.658870	+	1.67877i
$761$	31.9266	−	9.84806i	1.15734	−	0.356992i	0.344107	−	0.938930i	$-0.388182\pi$
$761$	31.9266	−	9.84806i	1.15734	−	0.356992i	0.813233	+	0.581938i	$0.197706\pi$
$762$	12.9933	+	10.0665i	0.470697	+	0.364673i
$763$	23.8388	−	1.37772i	0.863024	−	0.0498769i
$764$	−6.42583	+	1.46665i	−0.232479	+	0.0530617i
$765$	−1.48848	+	4.13007i	−0.0538161	+	0.149323i
$766$	14.7814	+	8.53405i	0.534074	+	0.308348i
$767$	1.85572	−	6.01610i	0.0670062	−	0.217229i
$768$	8.57135	−	22.7749i	0.309292	−	0.821818i
$769$	21.8625	+	17.4348i	0.788383	+	0.628715i	0.932633	−	0.360827i	$-0.117505\pi$
$769$	21.8625	+	17.4348i	0.788383	+	0.628715i	−0.144250	+	0.989541i	$0.546077\pi$
$770$	22.8497	−	17.5924i	0.823447	−	0.633987i
$771$	−8.58182	−	35.3062i	−0.309067	−	1.27152i
$772$	8.01426	−	7.43615i	0.288440	−	0.267633i
$773$	−36.9200	+	5.56480i	−1.32792	+	0.200152i	−0.774407	−	0.632687i	$-0.781952\pi$
$773$	−36.9200	+	5.56480i	−1.32792	+	0.200152i	−0.553515	+	0.832839i	$0.686714\pi$
$774$	−0.806296	+	2.90083i	−0.0289817	+	0.104268i
$775$	14.6682	−	97.3171i	0.526897	−	3.49573i
$776$	−27.5042	+	13.2453i	−0.987342	+	0.475479i
$777$	3.82706	+	25.9230i	0.137295	+	0.929981i
$778$	−5.12836	−	2.46969i	−0.183861	−	0.0885426i
$779$	−14.6817	+	21.5341i	−0.526025	+	0.771537i
$780$	−17.4997	+	7.15334i	−0.626589	+	0.256131i
$781$	−1.73675	+	23.1753i	−0.0621458	+	0.829278i
$782$	0.211277	−	0.538326i	0.00755526	−	0.0192505i
$783$	15.5627	−	4.24905i	0.556164	−	0.151849i
$784$	−0.447670	+	4.09300i	−0.0159882	+	0.146179i
$785$		−	37.6598i		−	1.34414i
$786$	−11.3787	−	11.9230i	−0.405865	−	0.425280i
$787$	26.7595	+	2.00535i	0.953873	+	0.0714829i	0.542565	−	0.840014i	$-0.317453\pi$
$787$	26.7595	+	2.00535i	0.953873	+	0.0714829i	0.411308	+	0.911497i	$0.365072\pi$
$788$	17.2356	−	18.5755i	0.613992	−	0.661726i
$789$	45.1288	−	26.9071i	1.60663	−	0.957920i
$790$	4.36727	−	9.06873i	0.155380	−	0.322651i
$791$	−24.4103	−	23.4375i	−0.867930	−	0.833340i
$792$	−23.7408	−	10.6222i	−0.843591	−	0.377443i
$793$	−11.5796	−	1.74535i	−0.411205	−	0.0619792i
$794$	5.30526	−	3.61706i	0.188276	−	0.128365i
$795$	−0.0536179	+	0.182907i	−0.00190163	+	0.00648703i
$796$	19.3923	+	20.8999i	0.687341	+	0.740777i
$797$	−1.00623	−	1.26177i	−0.0356425	−	0.0446942i	0.763691	−	0.645582i	$-0.223385\pi$
$797$	−1.00623	−	1.26177i	−0.0356425	−	0.0446942i	−0.799333	+	0.600888i	$0.794814\pi$
$798$	6.99203	−	14.4074i	0.247515	−	0.510016i
$799$	0.121434	−	0.152274i	0.00429603	−	0.00538705i
$800$	−74.9785	+	5.61886i	−2.65089	+	0.198657i
$801$	2.24040	+	5.26836i	0.0791608	+	0.186148i
$802$	14.4560	−	25.0385i	0.510458	−	0.884139i
$803$	−4.29993	−	7.44770i	−0.151741	−	0.262824i
$804$	−6.36343	+	29.8034i	−0.224421	+	1.05109i
$805$	8.93811	−	21.6783i	0.315027	−	0.764061i
$806$	−11.2365	−	2.56467i	−0.395791	−	0.0903366i
$807$	1.94761	+	0.265638i	0.0685592	+	0.00935090i
$808$	−5.21436	+	2.04648i	−0.183440	+	0.0719950i
$809$	31.3961	−	12.3221i	1.10383	−	0.433221i	0.257713	−	0.966221i	$-0.417031\pi$
$809$	31.3961	−	12.3221i	1.10383	−	0.433221i	0.846115	+	0.533001i	$0.178936\pi$
$810$	−30.0965	+	3.96466i	−1.05748	+	0.139304i
$811$	19.0901	+	4.35719i	0.670344	+	0.153002i	0.544129	−	0.839001i	$-0.316860\pi$
$811$	19.0901	+	4.35719i	0.670344	+	0.153002i	0.126214	+	0.992003i	$0.459717\pi$
$812$	−9.14777	−	6.46831i	−0.321024	−	0.226993i
$813$	−50.7496	−	10.8357i	−1.77987	−	0.380026i
$814$	7.36847	+	12.7626i	0.258265	+	0.447327i
$815$	−42.7385	+	74.0253i	−1.49707	+	2.59299i
$816$	−0.261756	−	0.236120i	−0.00916329	−	0.00826587i
$817$	5.49852	−	0.412057i	0.192369	−	0.0144161i
$818$	16.2708	−	20.4029i	0.568894	−	0.713371i
$819$	13.6026	+	6.36698i	0.475312	+	0.222480i
$820$	−21.3920	−	26.8247i	−0.747041	−	0.936760i
$821$	−28.0444	−	30.2246i	−0.978755	−	1.05485i	−0.998484	−	0.0550417i	$-0.982471\pi$
$821$	−28.0444	−	30.2246i	−0.978755	−	1.05485i	0.0197290	−	0.999805i	$-0.493720\pi$
$822$	−3.94351	−	1.15602i	−0.137546	−	0.0403207i
$823$	3.79948	−	2.59044i	0.132442	−	0.0902971i	−0.495287	−	0.868729i	$-0.664937\pi$
$823$	3.79948	−	2.59044i	0.132442	−	0.0902971i	0.627729	+	0.778432i	$0.283985\pi$
$824$	1.84349	+	0.277861i	0.0642208	+	0.00967973i
$825$	1.01292	+	72.1179i	0.0352655	+	2.51082i
$826$	−6.95916	+	0.927727i	−0.242140	+	0.0322797i
$827$	−2.01220	+	4.17838i	−0.0699712	+	0.145297i	−0.933021	−	0.359823i	$-0.882837\pi$
$827$	−2.01220	+	4.17838i	−0.0699712	+	0.145297i	0.863050	+	0.505119i	$0.168551\pi$
$828$	−8.52949	+	0.880698i	−0.296420	+	0.0306064i
$829$	3.26454	−	3.51834i	0.113382	−	0.122197i	−0.673810	−	0.738905i	$-0.735343\pi$
$829$	3.26454	−	3.51834i	0.113382	−	0.122197i	0.787192	+	0.616708i	$0.211534\pi$
$830$	28.6806	+	2.14931i	0.995518	+	0.0746037i
$831$	11.5920	−	11.0628i	0.402121	−	0.383763i
$832$			6.57935i			0.228098i
$833$	−2.14510	−	1.12479i	−0.0743231	−	0.0389717i
$834$	−0.200988	−	0.0933364i	−0.00695964	−	0.00323197i
$835$	−16.8398	+	42.9072i	−0.582766	+	1.48486i
$836$	−1.44325	+	19.2589i	−0.0499159	+	0.666081i
$837$	35.1733	+	18.3772i	1.21577	+	0.635208i
$838$	−4.86243	+	7.13187i	−0.167970	+	0.246366i
$839$	8.27781	+	3.98638i	0.285782	+	0.137625i	0.571283	−	0.820753i	$-0.306446\pi$
$839$	8.27781	+	3.98638i	0.285782	+	0.137625i	−0.285501	+	0.958378i	$0.592160\pi$
$840$	38.0083	+	35.4812i	1.31141	+	1.22422i
$841$	−17.4437	+	8.40046i	−0.601508	+	0.289671i
$842$	3.09376	−	20.5258i	0.106618	−	0.707364i
$843$	7.18013	+	43.4841i	0.247297	+	1.49767i
$844$	−12.4597	+	1.87799i	−0.428879	+	0.0646431i
$845$	−29.2028	+	27.0962i	−1.00461	+	0.932138i
$846$	1.32088	+	0.262687i	0.0454130	+	0.00903136i
$847$	−1.44364	+	0.303672i	−0.0496041	+	0.0104343i
$848$	−0.0119660	−	0.00954260i	−0.000410916	−	0.000327694i
$849$	16.8105	+	6.32665i	0.576935	+	0.217130i
$850$	1.04817	−	3.39808i	0.0359519	−	0.116553i
$851$	10.3776	+	5.99152i	0.355740	+	0.205387i
$852$	−16.9231	+	1.50749i	−0.579776	+	0.0516458i
$853$	−7.60743	+	1.73635i	−0.260473	+	0.0594513i	−0.350763	−	0.936464i	$-0.614078\pi$
$853$	−7.60743	+	1.73635i	−0.260473	+	0.0594513i	0.0902899	+	0.995916i	$0.471221\pi$
$854$	3.63558	+	12.5425i	0.124407	+	0.429196i
$855$	25.5188	+	49.3917i	0.872724	+	1.68916i
$856$	14.1077	−	4.35165i	0.482192	−	0.148736i
$857$	19.1903	+	48.8960i	0.655527	+	1.67026i	0.738966	+	0.673743i	$0.235314\pi$
$857$	19.1903	+	48.8960i	0.655527	+	1.67026i	−0.0834390	+	0.996513i	$0.526590\pi$
$858$	8.43097	+	0.512858i	0.287828	+	0.0175087i
$859$	9.38598	+	30.4286i	0.320246	+	1.03821i	0.962400	+	0.271636i	$0.0875646\pi$
$859$	9.38598	+	30.4286i	0.320246	+	1.03821i	−0.642154	+	0.766575i	$0.721959\pi$
$860$	−1.61523	+	7.07680i	−0.0550790	+	0.241317i
$861$	−4.14400	+	26.9402i	−0.141227	+	0.918118i
$862$	2.05289	+	8.99430i	0.0699217	+	0.306347i
$863$	23.8481	−	13.7687i	0.811799	−	0.468692i	−0.0357812	−	0.999360i	$-0.511392\pi$
$863$	23.8481	−	13.7687i	0.811799	−	0.468692i	0.847580	+	0.530667i	$0.178059\pi$
$864$	7.70834	−	29.3224i	0.262243	−	0.997568i
$865$	−100.034	−	30.8564i	−3.40125	−	1.04915i
$866$	−1.87212	−	24.9817i	−0.0636172	−	0.848912i
$867$	−26.1613	+	13.0544i	−0.888485	+	0.443350i
$868$	−5.67321	−	26.9702i	−0.192561	−	0.915428i
$869$	7.53948	−	6.01253i	0.255759	−	0.203961i
$870$	−17.2552	+	5.58908i	−0.585004	+	0.189488i
$871$	−3.63805	−	24.1369i	−0.123271	−	0.817848i
$872$	13.6400	+	20.0061i	0.461907	+	0.677494i
$873$	−29.0716	+	17.8915i	−0.983924	+	0.605536i
$874$	−3.17749	−	6.59814i	−0.107480	−	0.223185i
$875$	27.4454	−	83.8655i	0.927824	−	2.83517i
$876$	4.85987	−	3.98855i	0.164200	−	0.134761i
$877$	17.0482	+	11.6232i	0.575675	+	0.392489i	0.815869	−	0.578236i	$-0.196259\pi$
$877$	17.0482	+	11.6232i	0.575675	+	0.392489i	−0.240194	+	0.970725i	$0.577211\pi$
$878$	−16.9045	−	15.6850i	−0.570498	−	0.529344i
$879$	−5.20317	+	9.31176i	−0.175498	+	0.314078i
$880$	−7.48301	−	2.93687i	−0.252252	−	0.0990017i
$881$	−28.0305			−0.944371			−0.472185	−	0.881499i	$-0.656535\pi$
$881$	−28.0305			−0.944371			−0.472185	+	0.881499i	$0.656535\pi$
$882$	0.101373	−	16.7479i	0.00341340	−	0.563932i
$883$	−32.6503			−1.09877			−0.549385	−	0.835569i	$-0.685138\pi$
$883$	−32.6503			−1.09877			−0.549385	+	0.835569i	$0.685138\pi$
$884$	0.831282	+	0.326254i	0.0279590	+	0.0109731i
$885$	11.8887	−	21.2764i	0.399634	−	0.715198i
$886$	15.1269	+	14.0357i	0.508199	+	0.471540i
$887$	−9.51502	−	6.48723i	−0.319483	−	0.217820i	0.392950	−	0.919560i	$-0.371455\pi$
$887$	−9.51502	−	6.48723i	−0.319483	−	0.217820i	−0.712433	+	0.701740i	$0.752407\pi$
$888$	−20.5397	+	16.8571i	−0.689266	+	0.565689i
$889$	−4.15995	−	31.2050i	−0.139520	−	1.04658i
$890$	−2.79275	−	5.79921i	−0.0936132	−	0.194390i
$891$	−27.6267	−	9.08845i	−0.925530	−	0.304475i
$892$	−4.46373	−	6.54709i	−0.149457	−	0.219213i
$893$	−0.367602	−	2.43888i	−0.0123013	−	0.0816140i
$894$	−22.2260	+	7.19918i	−0.743349	+	0.240777i
$895$	−19.2117	+	15.3209i	−0.642178	+	0.512120i
$896$	−21.3783	+	9.84930i	−0.714200	+	0.329042i
$897$	6.14552	−	3.06658i	0.205193	−	0.102390i
$898$	1.32230	+	17.6448i	0.0441256	+	0.588815i
$899$	22.6579	+	6.98904i	0.755684	+	0.233098i
$900$	−51.8977	+	9.31993i	−1.72992	+	0.310664i
$901$	0.00779716	−	0.00450169i	0.000259761	−	0.000149973i
$902$	3.41106	+	14.9448i	0.113576	+	0.497609i
$903$	5.00273	−	2.86818i	0.166480	−	0.0954469i
$904$	7.63583	−	33.4547i	0.253964	−	1.11269i
$905$	29.1132	+	94.3828i	0.967756	+	3.13739i
$906$	−0.753015	−	0.0458061i	−0.0250172	−	0.00152180i
$907$	−4.71419	−	12.0116i	−0.156532	−	0.398838i	0.830996	−	0.556278i	$-0.187771\pi$
$907$	−4.71419	−	12.0116i	−0.156532	−	0.398838i	−0.987528	+	0.157440i	$0.949676\pi$
$908$	5.49916	−	1.69627i	0.182496	−	0.0562926i
$909$	−5.56488	+	2.87516i	−0.184575	+	0.0953630i
$910$	−15.6111	−	6.43656i	−0.517504	−	0.213370i
$911$	23.8175	−	5.43619i	0.789110	−	0.180109i	0.191071	−	0.981576i	$-0.438804\pi$
$911$	23.8175	−	5.43619i	0.789110	−	0.180109i	0.598039	+	0.801467i	$0.295947\pi$
$912$	−4.44654	+	0.396092i	−0.147240	+	0.0131159i
$913$	23.8631	+	13.7773i	0.789752	+	0.455964i
$914$	1.69790	−	5.50444i	0.0561614	−	0.182071i
$915$	−42.4287	−	15.9681i	−1.40265	−	0.527888i
$916$	14.2047	+	11.3279i	0.469336	+	0.374283i
$917$	−0.538845	+	31.5622i	−0.0177942	+	1.04227i
$918$	1.15775	+	0.846023i	0.0382115	+	0.0279229i
$919$	25.7173	−	23.8621i	0.848334	−	0.787139i	−0.130574	−	0.991439i	$-0.541682\pi$
$919$	25.7173	−	23.8621i	0.848334	−	0.787139i	0.978908	+	0.204299i	$0.0654916\pi$
$920$	23.5120	−	3.54386i	0.775167	−	0.116838i
$921$	−7.42648	−	44.9760i	−0.244711	−	1.48201i
$922$	−2.62761	+	17.4331i	−0.0865358	+	0.574128i
$923$	12.2608	−	5.90450i	0.403570	−	0.194349i
$924$	7.32216	+	18.8239i	0.240881	+	0.619260i
$925$	66.3883	+	31.9709i	2.18283	+	1.05120i
$926$	−11.1458	+	16.3479i	−0.366273	+	0.537224i
$927$	2.08241	+	0.0973423i	0.0683955	+	0.00319714i
$928$	1.35375	−	18.0645i	0.0444389	−	0.592996i
$929$	−6.05083	+	15.4173i	−0.198521	+	0.505824i	−0.995119	−	0.0986862i	$-0.968536\pi$
$929$	−6.05083	+	15.4173i	−0.198521	+	0.505824i	0.796597	+	0.604510i	$0.206631\pi$
$930$	−40.4675	−	18.7926i	−1.32698	−	0.616234i
$931$	−28.9181	+	10.2248i	−0.947753	+	0.335103i
$932$		−	15.8341i		−	0.518664i
$933$	21.2445	−	20.2746i	0.695513	−	0.663761i
$934$	1.32747	+	0.0994802i	0.0434362	+	0.00325509i
$935$	3.21642	−	3.46648i	0.105188	−	0.113366i
$936$	1.56419	+	15.1490i	0.0511271	+	0.495161i
$937$	10.3211	−	21.4321i	0.337177	−	0.700155i	−0.661587	−	0.749869i	$-0.730117\pi$
$937$	10.3211	−	21.4321i	0.337177	−	0.700155i	0.998764	+	0.0497138i	$0.0158309\pi$
$938$	−22.7488	+	14.9475i	−0.742774	+	0.488053i
$939$	−0.401581	−	28.5917i	−0.0131051	−	0.933054i
$940$	3.21064	+	0.483927i	0.104720	+	0.0157840i
$941$	15.2082	−	10.3688i	0.495773	−	0.338012i	−0.289483	−	0.957183i	$-0.593484\pi$
$941$	15.2082	−	10.3688i	0.495773	−	0.338012i	0.785256	+	0.619171i	$0.212531\pi$
$942$	−11.8040	−	3.46026i	−0.384594	−	0.112741i
$943$	8.47809	+	9.13721i	0.276085	+	0.297548i
$944$	1.22022	+	1.53011i	0.0397148	+	0.0498008i
$945$	46.3514	+	35.1004i	1.50781	+	1.14182i
$946$	2.02204	−	2.53556i	0.0657423	−	0.0824382i
$947$	−44.1864	+	3.31131i	−1.43586	+	0.107603i	−0.769797	−	0.638288i	$-0.779643\pi$
$947$	−44.1864	+	3.31131i	−1.43586	+	0.107603i	−0.666068	+	0.745891i	$0.732024\pi$
$948$	5.23477	+	4.72210i	0.170018	+	0.153367i
$949$	−2.51785	+	4.36104i	−0.0817328	+	0.141565i
$950$	−22.5163	−	38.9993i	−0.730524	−	1.26530i
$951$	−8.34854	−	1.78253i	−0.270720	−	0.0578024i
$952$	−0.141708	−	2.45198i	−0.00459278	−	0.0794692i
$953$	−41.1633	−	9.39525i	−1.33341	−	0.304342i	−0.504348	−	0.863500i	$-0.668267\pi$
$953$	−41.1633	−	9.39525i	−1.33341	−	0.304342i	−0.829061	+	0.559158i	$0.811124\pi$
$954$	0.0524031	+	0.0336116i	0.00169661	+	0.00108822i
$955$	19.0245	−	7.46655i	0.615617	−	0.241612i
$956$	−30.4175	+	11.9380i	−0.983773	+	0.386102i
$957$	−17.2176	−	2.34834i	−0.556566	−	0.0759109i
$958$	−20.1860	−	4.60733i	−0.652180	−	0.148856i
$959$	3.81851	+	6.88257i	0.123306	+	0.222250i
$960$	−5.31838	+	24.9089i	−0.171650	+	0.803930i
$961$	13.6645	+	23.6676i	0.440790	+	0.763470i
$962$	4.31465	−	7.47319i	0.139110	−	0.240945i
$963$	15.1922	−	6.46058i	0.489561	−	0.208189i
$964$	4.73269	−	0.354666i	0.152430	−	0.0114230i
$965$	−21.1360	+	26.5037i	−0.680392	+	0.853184i
$966$	−5.97353	−	4.79338i	−0.192195	−	0.154225i
$967$	−20.7466	−	26.0155i	−0.667167	−	0.836601i	0.326935	−	0.945047i	$-0.393984\pi$
$967$	−20.7466	−	26.0155i	−0.667167	−	0.836601i	−0.994102	+	0.108446i	$0.965413\pi$
$968$	−1.01749	−	1.09659i	−0.0327033	−	0.0352457i
$969$	0.738730	−	2.52003i	0.0237314	−	0.0809549i
$970$	31.7107	−	21.6200i	1.01817	−	0.694175i
$971$	−9.20315	−	1.38715i	−0.295343	−	0.0445158i	−0.000300670	−	1.00000i	$-0.500096\pi$
$971$	−9.20315	−	1.38715i	−0.295343	−	0.0445158i	−0.295042	+	0.955484i	$0.595334\pi$
$972$	3.26509	−	21.0095i	0.104728	−	0.673879i
$973$	0.148298	+	0.397687i	0.00475420	+	0.0127493i
$974$	−12.6717	+	26.3131i	−0.406028	+	0.843127i
$975$	36.2749	−	21.6282i	1.16173	−	0.692656i
$976$	2.47599	−	2.66849i	0.0792547	−	0.0854162i
$977$	7.80328	+	0.584775i	0.249649	+	0.0187086i	0.198967	−	0.980006i	$-0.436241\pi$
$977$	7.80328	+	0.584775i	0.249649	+	0.0187086i	0.0506822	+	0.998715i	$0.483860\pi$
$978$	19.2753	+	20.1974i	0.616357	+	0.645842i
$979$		−	6.16667i		−	0.197088i
$980$	−1.64127	−	40.3453i	−0.0524284	−	1.28878i
$981$	17.4694	+	20.6862i	0.557754	+	0.660461i
$982$	−1.39363	+	3.55091i	−0.0444725	+	0.113314i
$983$	1.05787	−	14.1163i	0.0337408	−	0.450240i	−0.954591	−	0.297921i	$-0.903707\pi$
$983$	1.05787	−	14.1163i	0.0337408	−	0.450240i	0.988331	−	0.152319i	$-0.0486741\pi$
$984$	−25.5843	+	10.4581i	−0.815599	+	0.333392i
$985$	−44.2615	+	64.9197i	−1.41029	+	2.06851i
$986$	0.771913	+	0.371734i	0.0245827	+	0.0118384i
$987$	−1.44660	−	2.13563i	−0.0460457	−	0.0679777i
$988$	10.1888	−	4.90668i	0.324150	−	0.156102i
$989$	0.393034	−	2.60761i	0.0124978	−	0.0829172i
$990$	31.5044	+	8.75676i	1.00127	+	0.278308i
$991$	−10.1553	+	1.53066i	−0.322593	+	0.0486231i	−0.308343	−	0.951275i	$-0.599774\pi$
$991$	−10.1553	+	1.53066i	−0.322593	+	0.0486231i	−0.0142505	+	0.999898i	$0.504536\pi$
$992$	32.6667	−	30.3102i	1.03717	−	0.962351i
$993$	3.90469	+	16.0642i	0.123912	+	0.509782i
$994$	−11.7014	−	9.66286i	−0.371145	−	0.306487i
$995$	−69.1174	−	55.1193i	−2.19117	−	1.74740i
$996$	−7.09543	+	18.8532i	−0.224827	+	0.597387i
$997$	5.10317	−	16.5441i	0.161619	−	0.523956i	−0.838150	−	0.545440i	$-0.816363\pi$
$997$	5.10317	−	16.5441i	0.161619	−	0.523956i	0.999769	+	0.0214833i	$0.00683887\pi$
$998$	−2.62886	−	1.51777i	−0.0832151	−	0.0480443i
$999$	−20.9102	+	21.1091i	−0.661569	+	0.667862i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	147.2.o.b.101.10	yes	192
3.2	odd	2	inner	147.2.o.b.101.7	✓	192
49.33	odd	42	inner	147.2.o.b.131.7	yes	192
147.131	even	42	inner	147.2.o.b.131.10	yes	192

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
147.2.o.b.101.7	✓	192	3.2	odd	2	inner
147.2.o.b.101.10	yes	192	1.1	even	1	trivial
147.2.o.b.131.7	yes	192	49.33	odd	42	inner
147.2.o.b.131.10	yes	192	147.131	even	42	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 147 = 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	147.o (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.742405 + 0.291372i) q^{2} +(0.844874 - 1.51201i) q^{3} +(-0.999837 - 0.927713i) q^{4} +(3.49434 + 2.38240i) q^{5} +(1.06780 - 0.876354i) q^{6} +(-2.63459 - 0.242725i) q^{7} +(-1.16405 - 2.41717i) q^{8} +(-1.57238 - 2.55492i) q^{9} +(1.90005 + 2.78686i) q^{10} +(0.481626 + 3.19538i) q^{11} +(-2.24745 + 0.727967i) q^{12} +(1.47939 - 1.17977i) q^{13} +(-1.88521 - 0.947848i) q^{14} +(6.55449 - 3.27066i) q^{15} +(0.0439563 + 0.586557i) q^{16} +(-0.330642 - 0.101990i) q^{17} +(-0.422905 - 2.35493i) q^{18} +(-3.79474 + 2.19089i) q^{19} +(-1.28358 - 5.62375i) q^{20} +(-2.59290 + 3.77847i) q^{21} +(-0.573484 + 2.51260i) q^{22} +(0.617691 + 2.00251i) q^{23} +(-4.63827 - 0.282147i) q^{24} +(4.70786 + 11.9954i) q^{25} +(1.44206 - 0.444815i) q^{26} +(-5.19154 + 0.218867i) q^{27} +(2.40899 + 2.68683i) q^{28} +(-3.02682 + 0.690852i) q^{29} +(5.81907 - 0.518355i) q^{30} +(-6.61413 - 3.81867i) q^{31} +(-1.71985 + 5.57560i) q^{32} +(5.23837 + 1.97147i) q^{33} +(-0.215753 - 0.172058i) q^{34} +(-8.62789 - 7.12481i) q^{35} +(-0.798117 + 4.01322i) q^{36} +(4.19171 - 3.88934i) q^{37} +(-3.45560 + 0.520848i) q^{38} +(-0.533936 - 3.23361i) q^{39} +(1.69109 - 11.2196i) q^{40} +(5.35893 - 2.58073i) q^{41} +(-3.02593 + 2.04965i) q^{42} +(-1.13376 - 0.545989i) q^{43} +(2.48285 - 3.64167i) q^{44} +(0.592435 - 12.6738i) q^{45} +(-0.124898 + 1.66665i) q^{46} +(-0.205644 + 0.523971i) q^{47} +(0.924020 + 0.429104i) q^{48} +(6.88217 + 1.27896i) q^{49} +10.2772i q^{50} +(-0.433561 + 0.413768i) q^{51} +(-2.57363 - 0.192867i) q^{52} +(-0.0176983 + 0.0190742i) q^{53} +(-3.91800 - 1.35018i) q^{54} +(-5.92970 + 12.3132i) q^{55} +(2.48009 + 6.65081i) q^{56} +(0.106587 + 7.58873i) q^{57} +(-2.44842 - 0.369040i) q^{58} +(2.74909 - 1.87430i) q^{59} +(-9.58766 - 2.81056i) q^{60} +(-4.20943 - 4.53669i) q^{61} +(-3.79771 - 4.76217i) q^{62} +(3.52243 + 7.11284i) q^{63} +(-2.16792 + 2.71849i) q^{64} +(7.98016 - 0.598030i) q^{65} +(3.31456 + 2.98994i) q^{66} +(6.45002 - 11.1718i) q^{67} +(0.235971 + 0.408714i) q^{68} +(3.54969 + 0.757907i) q^{69} +(-4.32941 - 7.80342i) q^{70} +(7.01155 + 1.60034i) q^{71} +(-4.34537 + 6.77476i) q^{72} +(-2.47732 + 0.972276i) q^{73} +(4.24519 - 1.66612i) q^{74} +(22.1148 + 3.01627i) q^{75} +(5.82665 + 1.32989i) q^{76} +(-0.493290 - 8.53543i) q^{77} +(0.545788 - 2.55622i) q^{78} +(-1.49210 - 2.58439i) q^{79} +(-1.24381 + 2.15435i) q^{80} +(-4.05527 + 8.03460i) q^{81} +(4.73045 - 0.354498i) q^{82} +(5.31648 - 6.66666i) q^{83} +(6.09782 - 1.37239i) q^{84} +(-0.912395 - 1.14411i) q^{85} +(-0.682621 - 0.735691i) q^{86} +(-1.51270 + 5.16028i) q^{87} +(7.16315 - 4.88375i) q^{88} +(-1.88700 - 0.284420i) q^{89} +(4.13262 - 9.23646i) q^{90} +(-4.18394 + 2.74913i) q^{91} +(1.24016 - 2.57522i) q^{92} +(-11.3620 + 6.77437i) q^{93} +(-0.305341 + 0.329080i) q^{94} +(-18.4797 - 1.38486i) q^{95} +(6.97734 + 7.31111i) q^{96} -11.3787i q^{97} +(4.73670 + 2.95478i) q^{98} +(7.40665 - 6.25486i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 192 q - 14 q^{3} - 44 q^{4} - 28 q^{6} - 28 q^{7} - 26 q^{9} - 28 q^{10} + 21 q^{12} - 28 q^{13} - 10 q^{15} - 20 q^{16} - 3 q^{18} - 42 q^{19} - 14 q^{21} - 34 q^{22} - 14 q^{24} - 16 q^{25} + 7 q^{27}+ \cdots - 136 q^{99}+O(q^{100}) \) 192 * q - 14 * q^3 - 44 * q^4 - 28 * q^6 - 28 * q^7 - 26 * q^9 - 28 * q^10 + 21 * q^12 - 28 * q^13 - 10 * q^15 - 20 * q^16 - 3 * q^18 - 42 * q^19 - 14 * q^21 - 34 * q^22 - 14 * q^24 - 16 * q^25 + 7 * q^27 - 70 * q^28 - q^30 - 42 * q^31 - 14 * q^33 + 28 * q^34 + 10 * q^36 + 46 * q^37 + 51 * q^39 + 112 * q^40 - 28 * q^42 - 36 * q^43 - 35 * q^45 + 148 * q^46 + 28 * q^49 - 20 * q^51 - 28 * q^52 - 14 * q^54 + 182 * q^55 + 2 * q^57 + 126 * q^58 - 132 * q^60 - 168 * q^61 - 119 * q^63 - 4 * q^64 - 42 * q^66 - 26 * q^67 + 70 * q^69 + 28 * q^70 + 6 * q^72 - 28 * q^73 - 140 * q^75 - 252 * q^76 + 36 * q^78 - 10 * q^79 + 134 * q^81 + 42 * q^82 + 56 * q^84 - 76 * q^85 + 98 * q^87 - 20 * q^88 + 175 * q^90 + 178 * q^93 + 322 * q^96 - 136 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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