LMFDB - Embedded newform 192.2.s.a.107.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [192,2,Mod(11,192)] 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("192.11"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(192, base_ring=CyclotomicField(16)) chi = DirichletCharacter(H, H._module([8, 5, 8])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			107.5
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.17382 + 0.788758i) q^{2} +(-0.659835 - 1.60144i) q^{3} +(0.755721 - 1.85172i) q^{4} +(-0.951414 - 1.42389i) q^{5} +(2.03768 + 1.35936i) q^{6} +(-0.304742 + 0.735711i) q^{7} +(0.573480 + 2.76968i) q^{8} +(-2.12923 + 2.11338i) q^{9} +(2.23990 + 0.920961i) q^{10} +(-5.27874 - 1.05001i) q^{11} +(-3.46408 + 0.0115898i) q^{12} +(-2.38495 - 1.59357i) q^{13} +(-0.222585 - 1.10396i) q^{14} +(-1.65250 + 2.46317i) q^{15} +(-2.85777 - 2.79878i) q^{16} +(3.60610 + 3.60610i) q^{17} +(0.832402 - 4.16018i) q^{18} +(-2.23180 - 1.49124i) q^{19} +(-3.35566 + 0.685692i) q^{20} +(1.37928 + 0.00257772i) q^{21} +(7.02451 - 2.93113i) q^{22} +(-2.89265 - 6.98348i) q^{23} +(4.05708 - 2.74593i) q^{24} +(0.791139 - 1.90998i) q^{25} +(4.05645 - 0.0105764i) q^{26} +(4.78939 + 2.01537i) q^{27} +(1.13203 + 1.12029i) q^{28} +(0.806254 + 4.05331i) q^{29} +(-0.00309743 - 4.19475i) q^{30} -6.95599 q^{31} +(5.56207 + 1.03118i) q^{32} +(1.80158 + 9.14643i) q^{33} +(-7.07727 - 1.38858i) q^{34} +(1.33751 - 0.266047i) q^{35} +(2.30428 + 5.53988i) q^{36} +(-2.51344 - 3.76162i) q^{37} +(3.79597 - 0.00989724i) q^{38} +(-0.978338 + 4.87085i) q^{39} +(3.39810 - 3.45168i) q^{40} +(1.08807 - 0.450693i) q^{41} +(-1.62106 + 1.08489i) q^{42} +(1.84512 + 0.367016i) q^{43} +(-5.93358 + 8.98127i) q^{44} +(5.03500 + 1.02110i) q^{45} +(8.90374 + 5.91577i) q^{46} +(4.93192 - 4.93192i) q^{47} +(-2.59642 + 6.42329i) q^{48} +(4.50134 + 4.50134i) q^{49} +(0.577854 + 2.86600i) q^{50} +(3.39553 - 8.15440i) q^{51} +(-4.75321 + 3.21197i) q^{52} +(1.88555 - 9.47932i) q^{53} +(-7.21154 + 1.41199i) q^{54} +(3.52717 + 8.51534i) q^{55} +(-2.21245 - 0.422120i) q^{56} +(-0.915517 + 4.55808i) q^{57} +(-4.14348 - 4.12193i) q^{58} +(-2.08460 + 1.39288i) q^{59} +(3.31228 + 4.92145i) q^{60} +(-0.211398 - 1.06277i) q^{61} +(8.16510 - 5.48659i) q^{62} +(-0.905968 - 2.21053i) q^{63} +(-7.34224 + 3.17671i) q^{64} +4.91205i q^{65} +(-9.32905 - 9.31529i) q^{66} +(13.8689 - 2.75869i) q^{67} +(9.40272 - 3.95230i) q^{68} +(-9.27497 + 9.24037i) q^{69} +(-1.36015 + 1.36726i) q^{70} +(-4.58122 - 1.89760i) q^{71} +(-7.07445 - 4.68532i) q^{72} +(0.638643 - 0.264535i) q^{73} +(5.91734 + 2.43299i) q^{74} +(-3.58074 - 0.00669202i) q^{75} +(-4.44799 + 3.00572i) q^{76} +(2.38115 - 3.56365i) q^{77} +(-2.69352 - 6.48918i) q^{78} +(2.62297 - 2.62297i) q^{79} +(-1.26623 + 6.73195i) q^{80} +(0.0672794 - 8.99975i) q^{81} +(-0.921714 + 1.38726i) q^{82} +(1.68471 - 2.52135i) q^{83} +(1.04712 - 2.55210i) q^{84} +(1.70380 - 8.56559i) q^{85} +(-2.45533 + 1.02454i) q^{86} +(5.95915 - 3.96569i) q^{87} +(-0.119072 - 15.2226i) q^{88} +(-14.6543 - 6.06999i) q^{89} +(-6.71560 + 2.77280i) q^{90} +(1.89920 - 1.26900i) q^{91} +(-15.1175 + 0.0788324i) q^{92} +(4.58981 + 11.1396i) q^{93} +(-1.89911 + 9.67928i) q^{94} +4.59663i q^{95} +(-2.01868 - 9.58775i) q^{96} -0.149313i q^{97} +(-8.83425 - 1.73331i) q^{98} +(13.4587 - 8.92026i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28}+ \cdots - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{16}\right)$

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 $

$2$	−1.17382	+	0.788758i	−0.830018	+	0.557736i
$2$	−1.17382	+	0.788758i	−0.830018	+	0.557736i
$3$	−0.659835	−	1.60144i	−0.380956	−	0.924593i
$3$	−0.659835	−	1.60144i	−0.380956	−	0.924593i
$4$	0.755721	−	1.85172i	0.377861	−	0.925862i
$5$	−0.951414	−	1.42389i	−0.425485	−	0.636783i	0.555351	−	0.831616i	$-0.312584\pi$
$5$	−0.951414	−	1.42389i	−0.425485	−	0.636783i	−0.980837	+	0.194832i	$0.937584\pi$
$6$	2.03768	+	1.35936i	0.831880	+	0.554956i
$7$	−0.304742	+	0.735711i	−0.115181	+	0.278073i	−0.970948	−	0.239289i	$-0.923086\pi$
$7$	−0.304742	+	0.735711i	−0.115181	+	0.278073i	0.855767	+	0.517361i	$0.173086\pi$
$8$	0.573480	+	2.76968i	0.202756	+	0.979229i
$9$	−2.12923	+	2.11338i	−0.709745	+	0.704459i
$10$	2.23990	+	0.920961i	0.708318	+	0.291233i
$11$	−5.27874	−	1.05001i	−1.59160	−	0.316589i	−0.681769	−	0.731567i	$-0.738789\pi$
$11$	−5.27874	−	1.05001i	−1.59160	−	0.316589i	−0.909831	+	0.414978i	$0.863789\pi$
$12$	−3.46408	+	0.0115898i	−0.999994	+	0.00334569i
$13$	−2.38495	−	1.59357i	−0.661465	−	0.441977i	0.178995	−	0.983850i	$-0.442715\pi$
$13$	−2.38495	−	1.59357i	−0.661465	−	0.441977i	−0.840460	+	0.541873i	$0.817715\pi$
$14$	−0.222585	−	1.10396i	−0.0594885	−	0.295046i
$15$	−1.65250	+	2.46317i	−0.426674	+	0.635987i
$16$	−2.85777	−	2.79878i	−0.714443	−	0.699694i
$17$	3.60610	+	3.60610i	0.874608	+	0.874608i	0.992970	−	0.118362i	$-0.0377644\pi$
$17$	3.60610	+	3.60610i	0.874608	+	0.874608i	−0.118362	+	0.992970i	$0.537764\pi$
$18$	0.832402	−	4.16018i	0.196199	−	0.980564i
$19$	−2.23180	−	1.49124i	−0.512011	−	0.342115i	0.272575	−	0.962134i	$-0.412125\pi$
$19$	−2.23180	−	1.49124i	−0.512011	−	0.342115i	−0.784586	+	0.620020i	$0.787125\pi$
$20$	−3.35566	+	0.685692i	−0.750348	+	0.153325i
$21$	1.37928	+	0.00257772i	0.300983	+	0.000562505i
$22$	7.02451	−	2.93113i	1.49763	−	0.624919i
$23$	−2.89265	−	6.98348i	−0.603160	−	1.45616i	−0.870311	−	0.492502i	$-0.836082\pi$
$23$	−2.89265	−	6.98348i	−0.603160	−	1.45616i	0.267151	−	0.963655i	$-0.413918\pi$
$24$	4.05708	−	2.74593i	0.828148	−	0.560510i
$25$	0.791139	−	1.90998i	0.158228	−	0.381996i
$26$	4.05645	−	0.0105764i	0.795534	−	0.00207420i
$27$	4.78939	+	2.01537i	0.921719	+	0.387857i
$28$	1.13203	+	1.12029i	0.213934	+	0.211715i
$29$	0.806254	+	4.05331i	0.149718	+	0.752681i	0.980567	+	0.196184i	$0.0628550\pi$
$29$	0.806254	+	4.05331i	0.149718	+	0.752681i	−0.830850	+	0.556497i	$0.812145\pi$
$30$	−0.00309743	−	4.19475i	−0.000565510	−	0.765853i
$31$	−6.95599			−1.24933			−0.624666	−	0.780892i	$-0.714765\pi$
$31$	−6.95599			−1.24933			−0.624666	+	0.780892i	$0.714765\pi$
$32$	5.56207	+	1.03118i	0.983245	+	0.182288i
$33$	1.80158	+	9.14643i	0.313614	+	1.59219i
$34$	−7.07727	−	1.38858i	−1.21374	−	0.238140i
$35$	1.33751	−	0.266047i	0.226080	−	0.0449701i
$36$	2.30428	+	5.53988i	0.384047	+	0.923313i
$37$	−2.51344	−	3.76162i	−0.413206	−	0.618407i	0.565235	−	0.824930i	$-0.308785\pi$
$37$	−2.51344	−	3.76162i	−0.413206	−	0.618407i	−0.978442	+	0.206523i	$0.933785\pi$
$38$	3.79597	−	0.00989724i	0.615788	−	0.00160554i
$39$	−0.978338	+	4.87085i	−0.156660	+	0.779960i
$40$	3.39810	−	3.45168i	0.537287	−	0.545759i
$41$	1.08807	−	0.450693i	0.169928	−	0.0703865i	−0.296098	−	0.955158i	$-0.595685\pi$
$41$	1.08807	−	0.450693i	0.169928	−	0.0703865i	0.466026	+	0.884771i	$0.345685\pi$
$42$	−1.62106	+	1.08489i	−0.250135	+	0.167402i
$43$	1.84512	+	0.367016i	0.281377	+	0.0559695i	0.333761	−	0.942658i	$-0.391682\pi$
$43$	1.84512	+	0.367016i	0.281377	+	0.0559695i	−0.0523840	+	0.998627i	$0.516682\pi$
$44$	−5.93358	+	8.98127i	−0.894521	+	1.35398i
$45$	5.03500	+	1.02110i	0.750574	+	0.152217i
$46$	8.90374	+	5.91577i	1.31279	+	0.872233i
$47$	4.93192	−	4.93192i	0.719394	−	0.719394i	−0.249087	−	0.968481i	$-0.580131\pi$
$47$	4.93192	−	4.93192i	0.719394	−	0.719394i	0.968481	+	0.249087i	$0.0801306\pi$
$48$	−2.59642	+	6.42329i	−0.374761	+	0.927122i
$49$	4.50134	+	4.50134i	0.643049	+	0.643049i
$50$	0.577854	+	2.86600i	0.0817209	+	0.405313i
$51$	3.39553	−	8.15440i	0.475469	−	1.14184i
$52$	−4.75321	+	3.21197i	−0.659151	+	0.445420i
$53$	1.88555	−	9.47932i	0.259001	−	1.30208i	−0.604041	−	0.796953i	$-0.706444\pi$
$53$	1.88555	−	9.47932i	0.259001	−	1.30208i	0.863042	−	0.505132i	$-0.168556\pi$
$54$	−7.21154	+	1.41199i	−0.981366	+	0.192148i
$55$	3.52717	+	8.51534i	0.475604	+	1.14821i
$56$	−2.21245	−	0.422120i	−0.295651	−	0.0564082i
$57$	−0.915517	+	4.55808i	−0.121263	+	0.603732i
$58$	−4.14348	−	4.12193i	−0.544066	−	0.541236i
$59$	−2.08460	+	1.39288i	−0.271392	+	0.181338i	−0.683817	−	0.729653i	$-0.739682\pi$
$59$	−2.08460	+	1.39288i	−0.271392	+	0.181338i	0.412426	+	0.910991i	$0.364682\pi$
$60$	3.31228	+	4.92145i	0.427613	+	0.635356i
$61$	−0.211398	−	1.06277i	−0.0270668	−	0.136074i	0.964889	−	0.262657i	$-0.0845988\pi$
$61$	−0.211398	−	1.06277i	−0.0270668	−	0.136074i	−0.991956	+	0.126583i	$0.959599\pi$
$62$	8.16510	−	5.48659i	1.03697	−	0.696798i
$63$	−0.905968	−	2.21053i	−0.114141	−	0.278501i
$64$	−7.34224	+	3.17671i	−0.917780	+	0.397089i
$65$			4.91205i			0.609264i
$66$	−9.32905	−	9.31529i	−1.14833	−	1.14663i
$67$	13.8689	−	2.75869i	1.69435	−	0.337027i	0.748873	−	0.662714i	$-0.230595\pi$
$67$	13.8689	−	2.75869i	1.69435	−	0.337027i	0.945478	+	0.325687i	$0.105595\pi$
$68$	9.40272	−	3.95230i	1.14025	−	0.479287i
$69$	−9.27497	+	9.24037i	−1.11658	+	1.11241i
$70$	−1.36015	+	1.36726i	−0.162569	+	0.163419i
$71$	−4.58122	−	1.89760i	−0.543691	−	0.225204i	0.0938968	−	0.995582i	$-0.470068\pi$
$71$	−4.58122	−	1.89760i	−0.543691	−	0.225204i	−0.637588	+	0.770378i	$0.720068\pi$
$72$	−7.07445	−	4.68532i	−0.833732	−	0.552170i
$73$	0.638643	−	0.264535i	0.0747476	−	0.0309615i	−0.344996	−	0.938604i	$-0.612120\pi$
$73$	0.638643	−	0.264535i	0.0747476	−	0.0309615i	0.419744	+	0.907643i	$0.362120\pi$
$74$	5.91734	+	2.43299i	0.687877	+	0.282829i
$75$	−3.58074	−	0.00669202i	−0.413469	−	0.000772728i
$76$	−4.44799	+	3.00572i	−0.510220	+	0.344780i
$77$	2.38115	−	3.56365i	0.271358	−	0.406115i
$78$	−2.69352	−	6.48918i	−0.304981	−	0.734755i
$79$	2.62297	−	2.62297i	0.295108	−	0.295108i	−0.543986	−	0.839094i	$-0.683086\pi$
$79$	2.62297	−	2.62297i	0.295108	−	0.295108i	0.839094	+	0.543986i	$0.183086\pi$
$80$	−1.26623	+	6.73195i	−0.141569	+	0.752655i
$81$	0.0672794	−	8.99975i	0.00747549	−	0.999972i
$82$	−0.921714	+	1.38726i	−0.101786	+	0.153197i
$83$	1.68471	−	2.52135i	0.184921	−	0.276754i	−0.727414	−	0.686199i	$-0.759278\pi$
$83$	1.68471	−	2.52135i	0.184921	−	0.276754i	0.912335	+	0.409445i	$0.134278\pi$
$84$	1.04712	−	2.55210i	0.114250	−	0.278456i
$85$	1.70380	−	8.56559i	0.184803	−	0.929069i
$86$	−2.45533	+	1.02454i	−0.264765	+	0.110479i
$87$	5.95915	−	3.96569i	0.638888	−	0.425166i
$88$	−0.119072	−	15.2226i	−0.0126931	−	1.62273i
$89$	−14.6543	−	6.06999i	−1.55335	−	0.643418i	−0.569430	−	0.822040i	$-0.692836\pi$
$89$	−14.6543	−	6.06999i	−1.55335	−	0.643418i	−0.983918	+	0.178622i	$0.942836\pi$
$90$	−6.71560	+	2.77280i	−0.707887	+	0.292279i
$91$	1.89920	−	1.26900i	0.199090	−	0.133028i
$92$	−15.1175	+	0.0788324i	−1.57611	+	0.00821885i
$93$	4.58981	+	11.1396i	0.475941	+	1.15512i
$94$	−1.89911	+	9.67928i	−0.195878	+	0.998342i
$95$			4.59663i			0.471605i
$96$	−2.01868	−	9.58775i	−0.206031	−	0.978545i
$97$		−	0.149313i		−	0.0151604i	−0.999971	−	0.00758022i	$-0.997587\pi$
$97$		−	0.149313i		−	0.0151604i	0.999971	−	0.00758022i	$-0.00241288\pi$
$98$	−8.83425	−	1.73331i	−0.892394	−	0.175091i
$99$	13.4587	−	8.92026i	1.35265	−	0.896520i
$100$	−2.93888	−	2.90838i	−0.293888	−	0.290838i
$101$	−1.92669	+	1.28738i	−0.191713	+	0.128099i	−0.647723	−	0.761876i	$-0.724278\pi$
$101$	−1.92669	+	1.28738i	−0.191713	+	0.128099i	0.456009	+	0.889975i	$0.349278\pi$
$102$	2.44610	+	12.2501i	0.242200	+	1.21294i
$103$	−16.6745	−	6.90682i	−1.64299	−	0.680549i	−0.646397	−	0.763002i	$-0.723725\pi$
$103$	−16.6745	−	6.90682i	−1.64299	−	0.680549i	−0.996595	+	0.0824521i	$0.973725\pi$
$104$	3.04596	−	7.51941i	0.298681	−	0.737339i
$105$	−1.30859	−	1.96639i	−0.127706	−	0.191900i
$106$	5.26358	+	12.6143i	0.511245	+	1.22521i
$107$	−1.86716	+	9.38684i	−0.180505	+	0.907460i	0.779270	+	0.626689i	$0.215590\pi$
$107$	−1.86716	+	9.38684i	−0.180505	+	0.907460i	−0.959775	+	0.280772i	$0.909410\pi$
$108$	7.35135	−	7.34559i	0.707384	−	0.706829i
$109$	3.82994	−	5.73191i	0.366842	−	0.549017i	−0.601427	−	0.798927i	$-0.705401\pi$
$109$	3.82994	−	5.73191i	0.366842	−	0.549017i	0.968269	+	0.249910i	$0.0804011\pi$
$110$	−10.8568	−	7.21342i	−1.03516	−	0.687773i
$111$	−4.36557	+	6.50718i	−0.414361	+	0.617634i
$112$	2.92997	−	1.24959i	0.276856	−	0.118075i
$113$	10.9819	−	10.9819i	1.03309	−	1.03309i	0.0336525	−	0.999434i	$-0.489286\pi$
$113$	10.9819	−	10.9819i	1.03309	−	1.03309i	0.999434	−	0.0336525i	$-0.0107140\pi$
$114$	−2.52057	−	6.07250i	−0.236073	−	0.568742i
$115$	−7.19161	+	10.7630i	−0.670621	+	1.00366i
$116$	8.11492	+	1.57021i	0.753451	+	0.145791i
$117$	8.44592	−	1.64720i	0.780826	−	0.152284i
$118$	1.34830	−	3.27924i	0.124121	−	0.301879i
$119$	−3.75198	+	1.55412i	−0.343943	+	0.142466i
$120$	−7.76986	−	3.16432i	−0.709288	−	0.288862i
$121$	16.5999	+	6.87591i	1.50908	+	0.625083i
$122$	1.08641	+	1.08076i	0.0983592	+	0.0978476i
$123$	−1.43971	−	1.44510i	−0.129814	−	0.130300i
$124$	−5.25679	+	12.8806i	−0.472074	+	1.15671i
$125$	−11.8703	+	2.36114i	−1.06171	+	0.211187i
$126$	2.80702	+	1.88019i	0.250070	+	0.167500i
$127$			20.2770i			1.79929i	0.436624	+	0.899644i	$0.356174\pi$
$127$			20.2770i			1.79929i	−0.436624	+	0.899644i	$0.643826\pi$
$128$	6.11283	−	9.52015i	0.540303	−	0.841470i
$129$	−0.629717	−	3.19702i	−0.0554435	−	0.281482i
$130$	−3.87442	−	5.76587i	−0.339809	−	0.505701i
$131$	−0.249189	−	1.25276i	−0.0217717	−	0.109454i	0.968371	−	0.249513i	$-0.0802706\pi$
$131$	−0.249189	−	1.25276i	−0.0217717	−	0.109454i	−0.990143	+	0.140059i	$0.955271\pi$
$132$	18.2982	+	3.57613i	1.59265	+	0.311262i
$133$	1.77725	−	1.18752i	0.154107	−	0.102971i
$134$	−14.1036	+	14.1774i	−1.21837	+	1.22474i
$135$	−1.68703	−	8.73702i	−0.145197	−	0.751963i
$136$	−7.91972	+	12.0558i	−0.679110	+	1.03377i
$137$	3.45449	+	8.33988i	0.295137	+	0.712524i	0.999995	+	0.00317519i	$0.00101070\pi$
$137$	3.45449	+	8.33988i	0.295137	+	0.712524i	−0.704858	+	0.709348i	$0.748989\pi$
$138$	3.59876	−	18.1623i	0.306347	−	1.54607i
$139$	−1.01764	+	5.11603i	−0.0863153	+	0.433936i	0.913328	+	0.407225i	$0.133503\pi$
$139$	−1.01764	+	5.11603i	−0.0863153	+	0.433936i	−0.999643	+	0.0267113i	$0.991497\pi$
$140$	0.518137	−	2.67775i	0.0437906	−	0.226311i
$141$	−11.1524	−	4.64393i	−0.939204	−	0.391089i
$142$	6.87429	−	1.38602i	0.576878	−	0.116313i
$143$	10.9163	+	10.9163i	0.912863	+	0.912863i
$144$	11.9997	−	0.0802962i	0.999978	−	0.00669135i
$145$	5.00439	−	5.00439i	0.415592	−	0.415592i
$146$	−0.541000	+	0.814252i	−0.0447735	+	0.0673880i
$147$	4.23850	−	10.1788i	0.349585	−	0.839532i
$148$	−8.86495	+	1.81145i	−0.728694	+	0.148901i
$149$	−16.6513	−	3.31215i	−1.36413	−	0.271342i	−0.541872	−	0.840461i	$-0.682284\pi$
$149$	−16.6513	−	3.31215i	−1.36413	−	0.271342i	−0.822255	+	0.569119i	$0.807284\pi$
$150$	4.20844	−	2.81649i	0.343617	−	0.229965i
$151$	−5.96083	+	2.46906i	−0.485086	+	0.200929i	−0.611804	−	0.791010i	$-0.709556\pi$
$151$	−5.96083	+	2.46906i	−0.485086	+	0.200929i	0.126718	+	0.991939i	$0.459556\pi$
$152$	2.85037	−	7.03658i	0.231196	−	0.570742i
$153$	−15.2993	−	0.0571856i	−1.23687	−	0.00462318i
$154$	0.0158035	+	6.06125i	0.00127348	+	0.488429i
$155$	6.61802	+	9.90457i	0.531572	+	0.795554i
$156$	8.28012	+	5.49262i	0.662940	+	0.439761i
$157$	−13.1331	+	2.61233i	−1.04813	+	0.208487i	−0.688972	−	0.724788i	$-0.741938\pi$
$157$	−13.1331	+	2.61233i	−1.04813	+	0.208487i	−0.359162	+	0.933275i	$0.616938\pi$
$158$	−1.01002	+	5.14780i	−0.0803525	+	0.409537i
$159$	−16.4247	+	3.23519i	−1.30257	+	0.256567i
$160$	−3.82355	−	8.90086i	−0.302278	−	0.703675i
$161$	6.01934			0.474390
$162$	7.01965	+	10.6172i	0.551516	+	0.834164i
$163$	4.06143	+	20.4182i	0.318116	+	1.59928i	0.726965	+	0.686675i	$0.240930\pi$
$163$	4.06143	+	20.4182i	0.318116	+	1.59928i	−0.408849	+	0.912602i	$0.634070\pi$
$164$	−0.0122826	−	2.35540i	−0.000959108	−	0.183926i
$165$	11.3095	−	11.2673i	0.880442	−	0.877157i
$166$	0.0111813	+	4.28844i	0.000867835	+	0.332848i
$167$	4.47253	−	10.7976i	0.346095	−	0.835546i	−0.650979	−	0.759096i	$-0.725641\pi$
$167$	4.47253	−	10.7976i	0.346095	−	0.835546i	0.997073	−	0.0764504i	$-0.0243587\pi$
$168$	0.783849	+	3.82164i	0.0604753	+	0.294846i
$169$	−1.82638	−	4.40928i	−0.140491	−	0.339175i
$170$	4.75622	+	11.3984i	0.364785	+	0.874215i
$171$	7.90359	−	1.54143i	0.604403	−	0.117876i
$172$	2.07401	−	3.13928i	0.158141	−	0.239368i
$173$	10.2207	+	6.82923i	0.777062	+	0.519217i	0.879715	−	0.475501i	$-0.157733\pi$
$173$	10.2207	+	6.82923i	0.777062	+	0.519217i	−0.102653	+	0.994717i	$0.532733\pi$
$174$	−3.86702	+	9.35534i	−0.293158	+	0.709227i
$175$	1.16410	+	1.16410i	0.0879977	+	0.0879977i
$176$	12.1467	+	17.7747i	0.915592	+	1.33982i
$177$	3.60611	+	2.41929i	0.271052	+	0.181845i
$178$	21.9893	−	4.43357i	1.64816	−	0.332310i
$179$	6.50009	+	4.34322i	0.485839	+	0.324627i	0.774251	−	0.632879i	$-0.218127\pi$
$179$	6.50009	+	4.34322i	0.485839	+	0.324627i	−0.288411	+	0.957507i	$0.593127\pi$
$180$	5.69586	−	8.55177i	0.424544	−	0.637411i
$181$	12.7875	+	2.54359i	0.950487	+	0.189064i	0.645901	−	0.763421i	$-0.276482\pi$
$181$	12.7875	+	2.54359i	0.950487	+	0.189064i	0.304586	+	0.952485i	$0.401482\pi$
$182$	−1.22839	+	2.98759i	−0.0910540	+	0.221455i
$183$	−1.56248	+	1.03980i	−0.115502	+	0.0768639i
$184$	17.6831	−	12.0166i	1.30362	−	0.885876i
$185$	−2.96482	+	7.15772i	−0.217978	+	0.526246i
$186$	−14.1741	−	9.45569i	−1.03929	−	0.693325i
$187$	−15.2492	−	22.8221i	−1.11514	−	1.66892i
$188$	−5.40540	−	12.8597i	−0.394229	−	0.937890i
$189$	−2.94225	+	2.90945i	−0.214017	+	0.211631i
$190$	−3.62563	−	5.39564i	−0.263031	−	0.391441i
$191$	11.6080			0.839922			0.419961	−	0.907542i	$-0.362044\pi$
$191$	11.6080			0.839922			0.419961	+	0.907542i	$0.362044\pi$
$192$	9.93199	+	9.66207i	0.716780	+	0.697300i
$193$	−23.6837			−1.70479			−0.852396	−	0.522896i	$-0.824852\pi$
$193$	−23.6837			−1.70479			−0.852396	+	0.522896i	$0.824852\pi$
$194$	0.117772	+	0.175267i	0.00845553	+	0.0125834i
$195$	7.86636	−	3.24114i	0.563322	−	0.232103i
$196$	11.7370	−	4.93349i	0.838358	−	0.352392i
$197$	−5.94160	−	8.89224i	−0.423322	−	0.633546i	0.557102	−	0.830444i	$-0.311913\pi$
$197$	−5.94160	−	8.89224i	−0.423322	−	0.633546i	−0.980424	+	0.196898i	$0.936913\pi$
$198$	−8.76225	+	21.0865i	−0.622706	+	1.49855i
$199$	−0.0481228	+	0.116179i	−0.00341134	+	0.00823569i	−0.925576	−	0.378562i	$-0.876419\pi$
$199$	−0.0481228	+	0.116179i	−0.00341134	+	0.00823569i	0.922165	+	0.386797i	$0.126419\pi$
$200$	5.74373	+	1.09587i	0.406143	+	0.0774895i
$201$	−13.5690	−	20.3899i	−0.957086	−	1.43819i
$202$	1.24617	−	3.03085i	0.0876802	−	0.213250i
$203$	−3.22776	−	0.642042i	−0.226545	−	0.0450625i
$204$	−12.5336	−	12.4500i	−0.877529	−	0.871677i
$205$	−1.67694	−	1.12050i	−0.117123	−	0.0782589i
$206$	25.0208	−	5.04480i	1.74328	−	0.351488i
$207$	20.9179	+	8.75621i	1.45389	+	0.608598i
$208$	2.35558	+	11.2290i	0.163330	+	0.778590i
$209$	10.2153	+	10.2153i	0.706607	+	0.706607i
$210$	3.08707	+	1.27603i	0.213028	+	0.0880548i
$211$	−11.9918	−	8.01268i	−0.825551	−	0.551615i	0.0694988	−	0.997582i	$-0.477860\pi$
$211$	−11.9918	−	8.01268i	−0.825551	−	0.551615i	−0.895050	+	0.445967i	$0.852860\pi$
$212$	−16.1281	−	10.6553i	−1.10769	−	0.731806i
$213$	−0.0160513	+	8.58867i	−0.00109982	+	0.588486i
$214$	−5.21223	−	12.4912i	−0.356301	−	0.853883i
$215$	−1.23288	−	2.97643i	−0.0840815	−	0.202991i
$216$	−2.83529	+	14.4209i	−0.192917	+	0.981215i
$217$	2.11978	−	5.11760i	0.143900	−	0.347405i
$218$	0.0254189	+	9.74914i	0.00172159	+	0.660295i
$219$	−0.845037	−	0.848201i	−0.0571023	−	0.0573161i
$220$	18.4336	−	0.0961247i	1.24280	−	0.00648073i
$221$	−2.85378	−	14.3469i	−0.191966	−	0.965079i
$222$	−0.00818275	−	11.0817i	−0.000549190	−	0.743752i
$223$	15.4594			1.03524			0.517618	−	0.855612i	$-0.326819\pi$
$223$	15.4594			1.03524			0.517618	+	0.855612i	$0.326819\pi$
$224$	−2.45364	+	3.77784i	−0.163941	+	0.252417i
$225$	2.35198	+	5.73877i	0.156799	+	0.382585i
$226$	−4.22873	+	21.5528i	−0.281291	+	1.43367i
$227$	−8.37592	+	1.66607i	−0.555929	+	0.110581i	−0.465056	−	0.885281i	$-0.653966\pi$
$227$	−8.37592	+	1.66607i	−0.555929	+	0.110581i	−0.0908733	+	0.995862i	$0.528966\pi$
$228$	7.74843	+	5.13992i	0.513153	+	0.340400i
$229$	1.16297	+	1.74050i	0.0768510	+	0.115016i	0.867904	−	0.496732i	$-0.165467\pi$
$229$	1.16297	+	1.74050i	0.0768510	+	0.115016i	−0.791053	+	0.611748i	$0.790467\pi$
$230$	−0.0477300	−	18.3063i	−0.00314723	−	1.20708i
$231$	−7.27815	−	1.46186i	−0.478867	−	0.0961832i
$232$	−10.7640	+	4.55756i	−0.706691	+	0.299218i
$233$	−9.34754	+	3.87188i	−0.612378	+	0.253655i	−0.667245	−	0.744839i	$-0.732527\pi$
$233$	−9.34754	+	3.87188i	−0.612378	+	0.253655i	0.0548670	+	0.998494i	$0.482527\pi$
$234$	−8.61477	+	8.59532i	−0.563165	+	0.561893i
$235$	−11.7148	−	2.33022i	−0.764189	−	0.152007i
$236$	1.00386	+	4.91273i	0.0653459	+	0.319792i
$237$	−5.93127	−	2.46981i	−0.385278	−	0.160431i
$238$	3.17833	−	4.78367i	0.206021	−	0.310079i
$239$	8.11977	−	8.11977i	0.525224	−	0.525224i	−0.393920	−	0.919145i	$-0.628881\pi$
$239$	8.11977	−	8.11977i	0.525224	−	0.525224i	0.919145	+	0.393920i	$0.128881\pi$
$240$	11.6163	−	2.41418i	0.749831	−	0.155835i
$241$	−20.6545	−	20.6545i	−1.33047	−	1.33047i	−0.904948	−	0.425523i	$-0.860090\pi$
$241$	−20.6545	−	20.6545i	−1.33047	−	1.33047i	−0.425523	−	0.904948i	$-0.639910\pi$
$242$	−24.9088	+	5.02222i	−1.60120	+	0.322840i
$243$	−14.4570	+	5.83061i	−0.927415	+	0.374034i
$244$	−2.12772	−	0.411707i	−0.136213	−	0.0263568i
$245$	2.12678	−	10.6921i	0.135875	−	0.683091i
$246$	2.82979	+	0.560709i	0.180421	+	0.0357495i
$247$	2.94633	+	7.11307i	0.187470	+	0.452594i
$248$	−3.98912	−	19.2659i	−0.253310	−	1.22338i
$249$	−5.14942	−	1.03429i	−0.326331	−	0.0655456i
$250$	12.0712	−	12.1343i	0.763452	−	0.767443i
$251$	−6.36129	+	4.25048i	−0.401521	+	0.268288i	−0.739893	−	0.672725i	$-0.765124\pi$
$251$	−6.36129	+	4.25048i	−0.401521	+	0.268288i	0.338372	+	0.941013i	$0.390124\pi$
$252$	−4.77796	+	0.00705615i	−0.300983	+	0.000444496i
$253$	7.93686	+	39.9013i	0.498986	+	2.50857i
$254$	−15.9936	−	23.8016i	−1.00353	−	1.49344i
$255$	−14.8415	+	2.92334i	−0.929412	+	0.183067i
$256$	0.333710	+	15.9965i	0.0208568	+	0.999782i
$257$		−	2.41242i		−	0.150483i	−0.997165	−	0.0752414i	$-0.976027\pi$
$257$		−	2.41242i		−	0.150483i	0.997165	−	0.0752414i	$-0.0239727\pi$
$258$	3.26085	+	3.25604i	0.203012	+	0.202712i
$259$	3.53342	−	0.702840i	0.219556	−	0.0436724i
$260$	9.09576	+	3.71214i	0.564095	+	0.230217i
$261$	−10.2829	−	6.92653i	−0.636494	−	0.428742i
$262$	1.28063	+	1.27397i	0.0791173	+	0.0787058i
$263$	15.6931	+	6.50028i	0.967676	+	0.400825i	0.809847	−	0.586642i	$-0.199550\pi$
$263$	15.6931	+	6.50028i	0.967676	+	0.400825i	0.157830	+	0.987466i	$0.449550\pi$
$264$	−24.2995	+	10.2351i	−1.49553	+	0.629926i
$265$	−15.2915	+	6.33393i	−0.939347	+	0.389090i
$266$	−1.14951	+	2.79576i	−0.0704809	+	0.171419i
$267$	−0.0513443	+	27.4731i	−0.00314222	+	1.68133i
$268$	5.37266	−	27.7661i	0.328187	−	1.69608i
$269$	−9.94484	+	14.8835i	−0.606348	+	0.907464i	−0.999930	−	0.0118258i	$-0.996236\pi$
$269$	−9.94484	+	14.8835i	−0.606348	+	0.907464i	0.393582	+	0.919289i	$0.371236\pi$
$270$	8.87168	+	8.92506i	0.539913	+	0.543162i
$271$	20.7141	−	20.7141i	1.25829	−	1.25829i	0.306382	−	0.951909i	$-0.400882\pi$
$271$	20.7141	−	20.7141i	1.25829	−	1.25829i	0.951909	−	0.306382i	$-0.0991183\pi$
$272$	−0.212743	−	20.3981i	−0.0128994	−	1.23682i
$273$	−3.28540	−	2.20412i	−0.198841	−	0.133400i
$274$	−10.6331	−	7.06478i	−0.642369	−	0.426799i
$275$	−6.18171	+	9.25159i	−0.372771	+	0.557892i
$276$	10.1013	+	24.1578i	0.608028	+	1.45413i
$277$	4.98281	−	25.0503i	0.299388	−	1.50513i	−0.479264	−	0.877671i	$-0.659096\pi$
$277$	4.98281	−	25.0503i	0.299388	−	1.50513i	0.778652	−	0.627456i	$-0.215904\pi$
$278$	−2.84078	−	6.80799i	−0.170379	−	0.408316i
$279$	14.8109	−	14.7006i	0.886707	−	0.880103i
$280$	1.50390	+	3.55189i	0.0898751	+	0.212266i
$281$	28.1242	+	11.6494i	1.67775	+	0.694947i	0.999215	−	0.0396211i	$-0.0126151\pi$
$281$	28.1242	+	11.6494i	1.67775	+	0.694947i	0.678535	+	0.734568i	$0.262615\pi$
$282$	16.7539	−	3.34542i	0.997681	−	0.199217i
$283$	9.93766	−	6.64013i	0.590732	−	0.394715i	−0.223968	−	0.974596i	$-0.571901\pi$
$283$	9.93766	−	6.64013i	0.590732	−	0.394715i	0.814701	+	0.579882i	$0.196901\pi$
$284$	−6.97597	+	7.04910i	−0.413947	+	0.418287i
$285$	7.36124	−	3.03302i	0.436042	−	0.179661i
$286$	−21.4240	−	4.20347i	−1.26683	−	0.248556i
$287$			0.937850i			0.0553595i
$288$	−14.0222	+	9.55914i	−0.826268	+	0.563278i
$289$			9.00794i			0.529879i
$290$	−1.92702	+	9.82153i	−0.113158	+	0.576740i
$291$	−0.239116	+	0.0985220i	−0.0140172	+	0.00577546i
$292$	−0.00720927	−	1.38251i	−0.000421891	−	0.0809051i
$293$	−7.07296	+	4.72600i	−0.413207	+	0.276096i	−0.744749	−	0.667344i	$-0.767431\pi$
$293$	−7.07296	+	4.72600i	−0.413207	+	0.276096i	0.331542	+	0.943440i	$0.392431\pi$
$294$	3.05336	+	15.2912i	0.178075	+	0.891804i
$295$	3.96663	+	1.64303i	0.230946	+	0.0956610i
$296$	8.97708	−	9.11863i	0.521782	−	0.530010i
$297$	−23.1658	−	15.6675i	−1.34422	−	0.909120i
$298$	22.1582	−	9.24597i	1.28359	−	0.535604i
$299$	−4.22985	+	21.2649i	−0.244618	+	1.22978i
$300$	−2.71844	+	6.62549i	−0.156949	+	0.382523i
$301$	−0.832301	+	1.24563i	−0.0479730	+	0.0717967i
$302$	5.04947	−	7.59989i	0.290564	−	0.437325i
$303$	3.33296	+	2.23603i	0.191474	+	0.128457i
$304$	2.20433	+	10.5079i	0.126427	+	0.602672i
$305$	−1.31214	+	1.31214i	−0.0751330	+	0.0751330i
$306$	18.0038	−	12.0003i	1.02921	−	0.686012i
$307$	−6.07810	+	9.09652i	−0.346895	+	0.519166i	−0.963358	−	0.268218i	$-0.913565\pi$
$307$	−6.07810	+	9.09652i	−0.346895	+	0.519166i	0.616463	+	0.787384i	$0.288565\pi$
$308$	−4.79941	−	7.10237i	−0.273472	−	0.404695i
$309$	−0.0584228	+	31.2607i	−0.00332356	+	1.77836i
$310$	−15.5807	−	6.40619i	−0.884924	−	0.363847i
$311$	−11.0707	+	4.58563i	−0.627761	+	0.260027i	−0.673802	−	0.738912i	$-0.735340\pi$
$311$	−11.0707	+	4.58563i	−0.627761	+	0.260027i	0.0460403	+	0.998940i	$0.485340\pi$
$312$	−14.0517	+	0.0836509i	−0.795523	+	0.00473580i
$313$	20.1965	+	8.36565i	1.14157	+	0.472855i	0.871699	−	0.490041i	$-0.163018\pi$
$313$	20.1965	+	8.36565i	1.14157	+	0.472855i	0.269873	+	0.962896i	$0.413018\pi$
$314$	13.3554	−	13.4252i	0.753690	−	0.757630i
$315$	−2.28561	+	3.39313i	−0.128780	+	0.191181i
$316$	−2.87479	−	6.83926i	−0.161720	−	0.384739i
$317$	−0.376393	+	0.0748693i	−0.0211404	+	0.00420508i	−0.205649	−	0.978626i	$-0.565931\pi$
$317$	−0.376393	+	0.0748693i	−0.0211404	+	0.00420508i	0.184509	+	0.982831i	$0.440931\pi$
$318$	16.7280	−	16.7527i	0.938057	−	0.939444i
$319$		−	22.2430i		−	1.24537i
$320$	11.5088	+	7.43218i	0.643361	+	0.415472i
$321$	16.2645	−	3.20362i	0.907796	−	0.178809i
$322$	−7.06564	+	4.74780i	−0.393753	+	0.264585i
$323$	−2.67053	−	13.4257i	−0.148593	−	0.747025i
$324$	−16.6142	−	6.92588i	−0.923012	−	0.384771i
$325$	−4.93051	+	3.29446i	−0.273495	+	0.182744i
$326$	−20.8724	−	20.7639i	−1.15602	−	1.15000i
$327$	−11.7064	−	2.35131i	−0.647368	−	0.130028i
$328$	1.87226	+	2.75514i	0.103378	+	0.152127i
$329$	2.12551	+	5.13142i	0.117183	+	0.282905i
$330$	−4.38816	+	22.1462i	−0.241560	+	1.21911i
$331$	1.37154	−	6.89518i	0.0753865	−	0.378994i	−0.924612	−	0.380911i	$-0.875610\pi$
$331$	1.37154	−	6.89518i	0.0753865	−	0.378994i	0.999998	+	0.00191754i	$0.000610372\pi$
$332$	−3.39567	−	5.02506i	−0.186362	−	0.275786i
$333$	13.3014	+	2.69754i	0.728913	+	0.147824i
$334$	3.26677	+	16.2023i	0.178750	+	0.886548i
$335$	−17.1231	−	17.1231i	−0.935534	−	0.935534i
$336$	−3.93445	−	3.86766i	−0.214642	−	0.210998i
$337$	17.3354	−	17.3354i	0.944318	−	0.944318i	−0.0542113	−	0.998529i	$-0.517264\pi$
$337$	17.3354	−	17.3354i	0.944318	−	0.944318i	0.998529	+	0.0542113i	$0.0172645\pi$
$338$	5.62171	+	3.73514i	0.305780	+	0.203165i
$339$	−24.8330	−	10.3406i	−1.34874	−	0.561624i
$340$	−14.5735	−	9.62817i	−0.790360	−	0.522161i
$341$	36.7189	+	7.30384i	1.98844	+	0.395525i
$342$	−8.06160	+	8.04339i	−0.435921	+	0.434937i
$343$	−9.83341	+	4.07313i	−0.530954	+	0.219929i
$344$	0.0416200	+	5.32085i	0.00224400	+	0.286881i
$345$	21.9816	+	4.41514i	1.18345	+	0.237703i
$346$	−17.3839	+	0.0453249i	−0.934562	+	0.00243668i
$347$	−10.1675	−	15.2167i	−0.545819	−	0.816875i	0.451328	−	0.892358i	$-0.350950\pi$
$347$	−10.1675	−	15.2167i	−0.545819	−	0.816875i	−0.997147	+	0.0754825i	$0.975950\pi$
$348$	−2.83991	−	14.0317i	−0.152235	−	0.752176i
$349$	13.3260	−	2.65070i	0.713322	−	0.141889i	0.174927	−	0.984581i	$-0.444031\pi$
$349$	13.3260	−	2.65070i	0.713322	−	0.141889i	0.538395	+	0.842693i	$0.319031\pi$
$350$	−2.28464	−	0.448254i	−0.122119	−	0.0239602i
$351$	−8.21082	−	12.4388i	−0.438261	−	0.663933i
$352$	−28.2780	−	11.2835i	−1.50722	−	0.601415i
$353$	−13.2033			−0.702743			−0.351372	−	0.936236i	$-0.614285\pi$
$353$	−13.2033			−0.702743			−0.351372	+	0.936236i	$0.614285\pi$
$354$	−6.14118	+	0.00453468i	−0.326400	+	0.000241015i
$355$	1.65665	+	8.32857i	0.0879261	+	0.442034i
$356$	−22.3145	+	22.5484i	−1.18267	+	1.19506i
$357$	4.96452	+	4.98311i	0.262750	+	0.263734i
$358$	−11.0557	+	0.0288255i	−0.584312	+	0.00152348i
$359$	9.51903	−	22.9810i	0.502395	−	1.21289i	−0.445780	−	0.895142i	$-0.647074\pi$
$359$	9.51903	−	22.9810i	0.502395	−	1.21289i	0.948176	−	0.317747i	$-0.102926\pi$
$360$	0.0593461	+	14.5309i	0.00312782	+	0.765847i
$361$	−4.51385	−	10.8974i	−0.237571	−	0.573547i
$362$	−17.0165	+	7.10051i	−0.894369	+	0.373195i
$363$	0.0581614	−	31.1208i	0.00305268	−	1.63342i
$364$	−0.914582	−	4.47581i	−0.0479371	−	0.234596i
$365$	−0.984283	−	0.657677i	−0.0515197	−	0.0344244i
$366$	1.01392	−	2.45295i	0.0529987	−	0.128218i
$367$	6.04728	+	6.04728i	0.315665	+	0.315665i	0.847100	−	0.531434i	$-0.178347\pi$
$367$	6.04728	+	6.04728i	0.315665	+	0.315665i	−0.531434	+	0.847100i	$0.678347\pi$
$368$	−11.2787	+	28.0531i	−0.587941	+	1.46237i
$369$	−1.36427	+	3.25913i	−0.0710211	+	0.169664i
$370$	−2.16553	−	10.7404i	−0.112581	−	0.558368i
$371$	6.39943	+	4.27597i	0.332242	+	0.221997i
$372$	24.0961	−	0.0806187i	1.24933	−	0.00417989i
$373$	26.8149	+	5.33382i	1.38842	+	0.276175i	0.832024	−	0.554739i	$-0.187182\pi$
$373$	26.8149	+	5.33382i	1.38842	+	0.276175i	0.556401	+	0.830914i	$0.312182\pi$
$374$	35.9010	+	14.7612i	1.85640	+	0.763281i
$375$	11.6137	+	17.4516i	0.599727	+	0.901196i
$376$	16.4882	+	10.8315i	0.850313	+	0.558590i
$377$	4.53636	−	10.9517i	0.233635	−	0.564044i
$378$	1.15884	−	5.73590i	0.0596042	−	0.295023i
$379$	5.46511	+	8.17912i	0.280724	+	0.420133i	0.944858	−	0.327481i	$-0.106200\pi$
$379$	5.46511	+	8.17912i	0.280724	+	0.420133i	−0.664134	+	0.747614i	$0.731200\pi$
$380$	8.51170	+	3.47377i	0.436641	+	0.178201i
$381$	32.4724	−	13.3795i	1.66361	−	0.685450i
$382$	−13.6257	+	9.15587i	−0.697150	+	0.468455i
$383$	9.12965			0.466503			0.233252	−	0.972416i	$-0.425063\pi$
$383$	9.12965			0.466503			0.233252	+	0.972416i	$0.425063\pi$
$384$	−19.2794	−	3.50762i	−0.983850	−	0.178997i
$385$	−7.33971			−0.374066
$386$	27.8005	−	18.6807i	1.41501	−	0.950825i
$387$	−4.70433	+	3.11796i	−0.239134	+	0.158495i
$388$	−0.276487	−	0.112839i	−0.0140365	−	0.00572853i
$389$	0.446040	+	0.667546i	0.0226151	+	0.0338459i	0.842605	−	0.538532i	$-0.181021\pi$
$389$	0.446040	+	0.667546i	0.0226151	+	0.0338459i	−0.819990	+	0.572378i	$0.806021\pi$
$390$	−6.67724	+	10.0092i	−0.338115	+	0.506835i
$391$	14.7519	−	35.6143i	0.746038	−	1.80110i
$392$	−9.88585	+	15.0487i	−0.499311	+	0.760075i
$393$	−1.84179	+	1.22568i	−0.0929062	+	0.0618271i
$394$	13.9882	+	5.75142i	0.704716	+	0.289753i
$395$	−6.23036	−	1.23930i	−0.313484	−	0.0623558i
$396$	−6.34681	−	31.6631i	−0.318939	−	1.59113i
$397$	−26.1544	−	17.4758i	−1.31265	−	0.877086i	−0.315242	−	0.949011i	$-0.602086\pi$
$397$	−26.1544	−	17.4758i	−1.31265	−	0.877086i	−0.997410	+	0.0719252i	$0.977086\pi$
$398$	−0.0351493	−	0.174331i	−0.00176187	−	0.00873840i
$399$	−3.07443	−	2.06259i	−0.153914	−	0.103259i
$400$	−7.60650	+	3.24406i	−0.380325	+	0.162203i
$401$	12.4507	+	12.4507i	0.621757	+	0.621757i	0.945981	−	0.324223i	$-0.105103\pi$
$401$	12.4507	+	12.4507i	0.621757	+	0.621757i	−0.324223	+	0.945981i	$0.605103\pi$
$402$	32.0103	+	13.2314i	1.59653	+	0.659924i
$403$	16.5897	+	11.0849i	0.826390	+	0.552176i
$404$	0.927823	+	4.54061i	0.0461609	+	0.225904i
$405$	−12.8787	+	8.46668i	−0.639946	+	0.420713i
$406$	4.29524	−	1.79228i	0.213169	−	0.0889494i
$407$	9.31805	+	22.4958i	0.461879	+	1.11507i
$408$	24.5323	+	4.72814i	1.21453	+	0.234078i
$409$	−6.02622	+	14.5486i	−0.297977	+	0.719381i	0.701997	+	0.712180i	$0.252292\pi$
$409$	−6.02622	+	14.5486i	−0.297977	+	0.719381i	−0.999974	+	0.00720056i	$0.997708\pi$
$410$	2.85224	−	0.00743664i	0.140862	−	0.000367269i
$411$	11.0764	−	11.0351i	0.546360	−	0.544322i
$412$	−25.3908	+	25.6570i	−1.25092	+	1.26403i
$413$	−0.389497	−	1.95813i	−0.0191659	−	0.0963534i
$414$	−31.4604	+	6.22090i	−1.54619	+	0.305740i
$415$	−5.19298			−0.254913
$416$	−11.6220	−	11.3229i	−0.569815	−	0.555149i
$417$	8.86451	−	1.74604i	0.434097	−	0.0855042i
$418$	−20.0484	−	3.93355i	−0.980597	−	0.192396i
$419$	−20.4761	+	4.07294i	−1.00032	+	0.198976i	−0.667977	−	0.744182i	$-0.732840\pi$
$419$	−20.4761	+	4.07294i	−1.00032	+	0.198976i	−0.332344	+	0.943158i	$0.607840\pi$
$420$	−4.63015	+	0.937109i	−0.225928	+	0.0457263i
$421$	4.56603	+	6.83355i	0.222535	+	0.333047i	0.925891	−	0.377791i	$-0.123316\pi$
$421$	4.56603	+	6.83355i	0.222535	+	0.333047i	−0.703356	+	0.710838i	$0.748316\pi$
$422$	20.3963	−	0.0531794i	0.992878	−	0.00258873i
$423$	−0.0782104	+	20.9242i	−0.00380272	+	1.01737i
$424$	27.3360	−	0.213823i	1.32755	−	0.0103842i
$425$	9.74051	−	4.03465i	0.472484	−	0.195709i
$426$	−6.75554	−	10.0942i	−0.327307	−	0.489067i
$427$	0.846314	+	0.168342i	0.0409560	+	0.00814665i
$428$	15.9708	+	10.5513i	0.771978	+	0.510016i
$429$	10.2788	−	24.6847i	0.496266	−	1.19179i
$430$	3.79486	+	2.52136i	0.183004	+	0.121591i
$431$	−22.1459	+	22.1459i	−1.06673	+	1.06673i	−0.0691236	+	0.997608i	$0.522020\pi$
$431$	−22.1459	+	22.1459i	−1.06673	+	1.06673i	−0.997608	+	0.0691236i	$0.977980\pi$
$432$	−8.04644	−	19.1639i	−0.387134	−	0.922023i
$433$	−7.75001	−	7.75001i	−0.372442	−	0.372442i	0.495924	−	0.868366i	$-0.334829\pi$
$433$	−7.75001	−	7.75001i	−0.372442	−	0.372442i	−0.868366	+	0.495924i	$0.834829\pi$
$434$	1.54830	+	7.67915i	0.0743209	+	0.368611i
$435$	−11.3163	−	4.71217i	−0.542576	−	0.225931i
$436$	−7.71955	−	11.4237i	−0.369700	−	0.547097i
$437$	−3.95824	+	19.8994i	−0.189348	+	0.951918i
$438$	1.66095	+	0.329109i	0.0793632	+	0.0157254i
$439$	−1.60466	−	3.87398i	−0.0765861	−	0.184895i	0.880950	−	0.473210i	$-0.156905\pi$
$439$	−1.60466	−	3.87398i	−0.0765861	−	0.184895i	−0.957536	+	0.288315i	$0.906905\pi$
$440$	−21.5620	+	14.6525i	−1.02793	+	0.698531i
$441$	−19.0975	−	0.0713824i	−0.909402	−	0.00339916i
$442$	14.6661	+	14.5898i	0.697595	+	0.693967i
$443$	13.5119	−	9.02838i	0.641971	−	0.428951i	−0.191517	−	0.981489i	$-0.561341\pi$
$443$	13.5119	−	9.02838i	0.641971	−	0.428951i	0.833488	+	0.552538i	$0.186341\pi$
$444$	8.75035	+	13.0014i	0.415273	+	0.617021i
$445$	5.29925	+	26.6411i	0.251209	+	1.26291i
$446$	−18.1466	+	12.1937i	−0.859265	+	0.577388i
$447$	5.68290	+	28.8516i	0.268792	+	1.36463i
$448$	−0.0996565	−	6.36984i	−0.00470833	−	0.300947i
$449$			4.44342i			0.209698i	0.994488	+	0.104849i	$0.0334359\pi$
$449$			4.44342i			0.209698i	−0.994488	+	0.104849i	$0.966564\pi$
$450$	−7.28731	−	4.88115i	−0.343527	−	0.230100i
$451$	−6.21687	+	1.23661i	−0.292741	+	0.0582298i
$452$	−12.0362	−	28.6346i	−0.566133	−	1.34686i
$453$	7.88722	+	7.91676i	0.370574	+	0.371962i
$454$	8.51772	−	8.56225i	0.399756	−	0.401846i
$455$	−3.61385	−	1.49690i	−0.169420	−	0.0701760i
$456$	−13.1494	+	0.0782795i	−0.615779	+	0.00366577i
$457$	3.26785	−	1.35359i	0.152864	−	0.0633182i	−0.304940	−	0.952372i	$-0.598636\pi$
$457$	3.26785	−	1.35359i	0.152864	−	0.0633182i	0.457803	+	0.889053i	$0.348636\pi$
$458$	−2.73795	−	1.12574i	−0.127936	−	0.0526025i
$459$	10.0034	+	24.5387i	0.466920	+	1.14537i
$460$	14.4953	+	21.4507i	0.675845	+	1.00014i
$461$	0.445238	−	0.666345i	0.0207368	−	0.0310348i	−0.820956	−	0.570991i	$-0.806559\pi$
$461$	0.445238	−	0.666345i	0.0207368	−	0.0310348i	0.841693	+	0.539956i	$0.181559\pi$
$462$	9.69631	−	4.02473i	0.451113	−	0.187248i
$463$	13.5750	−	13.5750i	0.630885	−	0.630885i	−0.317405	−	0.948290i	$-0.602811\pi$
$463$	13.5750	−	13.5750i	0.630885	−	0.630885i	0.948290	+	0.317405i	$0.102811\pi$
$464$	9.04022	−	13.8400i	0.419682	−	0.642504i
$465$	11.4948	−	17.1338i	0.533058	−	0.794559i
$466$	7.91838	−	11.9178i	0.366812	−	0.552084i
$467$	22.5240	−	33.7096i	1.04229	−	1.55989i	0.233003	−	0.972476i	$-0.425145\pi$
$467$	22.5240	−	33.7096i	1.04229	−	1.55989i	0.809284	−	0.587417i	$-0.199855\pi$
$468$	3.33259	−	16.8844i	0.154049	−	0.780479i
$469$	−2.19682	+	11.0442i	−0.101440	+	0.509972i
$470$	15.5891	−	6.50488i	0.719071	−	0.300048i
$471$	12.8492	+	19.3082i	0.592059	+	0.889673i
$472$	−5.05332	−	4.97488i	−0.232598	−	0.228987i
$473$	−9.35452	−	3.87477i	−0.430121	−	0.178162i
$474$	8.91035	−	1.77922i	0.409266	−	0.0817223i
$475$	−4.61391	+	3.08292i	−0.211701	+	0.141454i
$476$	0.0423539	+	8.12211i	0.00194129	+	0.372276i
$477$	16.0186	+	24.1686i	0.733441	+	1.10660i
$478$	−3.12664	+	15.9357i	−0.143009	+	0.728882i
$479$		−	0.596301i		−	0.0272457i	−0.999907	−	0.0136228i	$-0.995664\pi$
$479$		−	0.596301i		−	0.0272457i	0.999907	−	0.0136228i	$-0.00433642\pi$
$480$	−11.7313	+	11.9963i	−0.535458	+	0.547554i
$481$			12.9766i			0.591682i
$482$	40.5361	+	7.95331i	1.84637	+	0.362263i
$483$	−3.97177	−	9.63962i	−0.180722	−	0.438618i
$484$	25.2772	−	25.5422i	1.14896	−	1.16101i
$485$	−0.212605	+	0.142058i	−0.00965392	+	0.00645054i
$486$	12.3710	−	18.2472i	0.561159	−	0.827708i
$487$	−14.1819	−	5.87434i	−0.642644	−	0.266192i	0.0374708	−	0.999298i	$-0.488070\pi$
$487$	−14.1819	−	5.87434i	−0.642644	−	0.266192i	−0.680114	+	0.733106i	$0.738070\pi$
$488$	2.82230	−	1.19498i	0.127760	−	0.0540943i
$489$	30.0187	−	19.9768i	1.35749	−	0.903382i
$490$	5.93698	+	14.2281i	0.268206	+	0.642760i
$491$	−0.00640918	+	0.0322211i	−0.000289242	+	0.00145412i	−0.980930	−	0.194363i	$-0.937736\pi$
$491$	−0.00640918	+	0.0322211i	−0.000289242	+	0.00145412i	0.980640	+	0.195817i	$0.0627360\pi$
$492$	−3.76394	+	1.57385i	−0.169692	+	0.0709546i
$493$	−11.7092	+	17.5241i	−0.527357	+	0.789245i
$494$	−9.06896	−	6.02554i	−0.408032	−	0.271102i
$495$	−25.5063	−	10.6769i	−1.14642	−	0.479892i
$496$	19.8786	+	19.4683i	0.892577	+	0.874150i
$497$	2.79218	−	2.79218i	0.125246	−	0.125246i
$498$	6.86032	−	2.84757i	0.307418	−	0.127603i
$499$	5.40096	−	8.08311i	0.241780	−	0.361850i	−0.690656	−	0.723183i	$-0.742678\pi$
$499$	5.40096	−	8.08311i	0.241780	−	0.361850i	0.932437	+	0.361333i	$0.117678\pi$
$500$	−4.59843	+	23.7648i	−0.205648	+	1.06280i
$501$	−20.2429	−	0.0378318i	−0.904387	−	0.00169020i
$502$	4.11443	−	10.0068i	0.183636	−	0.446627i
$503$	−8.11650	+	3.36197i	−0.361897	+	0.149903i	−0.556220	−	0.831035i	$-0.687749\pi$
$503$	−8.11650	+	3.36197i	−0.361897	+	0.149903i	0.194323	+	0.980938i	$0.437749\pi$
$504$	5.60292	−	3.77694i	0.249574	−	0.168238i
$505$	3.66617	+	1.51858i	0.163142	+	0.0675758i
$506$	−40.7890	−	40.5768i	−1.81329	−	1.80386i
$507$	−5.85609	+	5.83425i	−0.260078	+	0.259108i
$508$	37.5473	+	15.3237i	1.66589	+	0.679880i
$509$	−26.0046	+	5.17263i	−1.15263	+	0.229273i	−0.734173	−	0.678962i	$-0.762430\pi$
$509$	−26.0046	+	5.17263i	−1.15263	+	0.229273i	−0.418460	+	0.908235i	$0.637430\pi$
$510$	15.1155	−	15.1379i	0.669326	−	0.670316i
$511$			0.550472i			0.0243514i
$512$	−13.0091	−	18.5139i	−0.574926	−	0.818205i
$513$	−7.68359	−	11.6401i	−0.339239	−	0.513921i
$514$	1.90282	+	2.83176i	0.0839297	+	0.124903i
$515$	6.02983	+	30.3140i	0.265706	+	1.33579i
$516$	−6.39588	−	1.24999i	−0.281563	−	0.0550277i
$517$	−31.2129	+	20.8558i	−1.37274	+	0.917235i
$518$	−3.59323	+	3.61202i	−0.157878	+	0.158703i
$519$	4.19266	−	20.8740i	0.184037	−	0.916265i
$520$	−13.6048	+	2.81696i	−0.596610	+	0.123532i
$521$	−1.81662	−	4.38572i	−0.0795877	−	0.192142i	0.879077	−	0.476680i	$-0.158160\pi$
$521$	−1.81662	−	4.38572i	−0.0795877	−	0.192142i	−0.958665	+	0.284538i	$0.908160\pi$
$522$	17.5336	+	0.0198215i	0.767426	+	0.000867564i
$523$	−4.42990	+	22.2706i	−0.193706	+	0.973826i	0.754531	+	0.656264i	$0.227864\pi$
$523$	−4.42990	+	22.2706i	−0.193706	+	0.973826i	−0.948237	+	0.317562i	$0.897136\pi$
$524$	−2.50808	−	0.485306i	−0.109566	−	0.0212007i
$525$	1.09612	−	2.63235i	0.0478388	−	0.114885i
$526$	−23.5480	+	4.74786i	−1.02674	+	0.207016i
$527$	−25.0840	−	25.0840i	−1.09268	−	1.09268i
$528$	20.4503	−	31.1806i	0.889986	−	1.35696i
$529$	−24.1381	+	24.1381i	−1.04948	+	1.04948i
$530$	12.9535	−	19.4962i	0.562665	−	0.846860i
$531$	1.49491	−	7.37132i	0.0648736	−	0.319888i
$532$	−0.855855	−	4.18841i	−0.0371060	−	0.181590i
$533$	−3.31320	−	0.659036i	−0.143511	−	0.0285460i
$534$	−21.6094	−	32.2891i	−0.935130	−	1.39729i
$535$	15.1423	−	6.27214i	0.654658	−	0.271168i
$536$	15.5942	+	36.8302i	0.673567	+	1.59082i
$537$	2.66643	−	13.2753i	0.115065	−	0.572873i
$538$	−0.0660030	−	25.3147i	−0.00284559	−	1.09139i
$539$	−19.0350	−	28.4879i	−0.819895	−	1.22706i
$540$	−17.4535	−	3.47883i	−0.751079	−	0.149705i
$541$	−1.34295	+	0.267129i	−0.0577379	+	0.0114848i	−0.223875	−	0.974618i	$-0.571871\pi$
$541$	−1.34295	+	0.267129i	−0.0577379	+	0.0114848i	0.166137	+	0.986103i	$0.446871\pi$
$542$	−7.97626	+	40.6531i	−0.342610	+	1.74620i
$543$	−4.36423	−	22.1568i	−0.187287	−	0.950838i
$544$	16.3389	+	23.7759i	0.700524	+	1.01938i
$545$	−11.8055			−0.505691
$546$	5.59499	−	0.00413137i	0.239444	−	0.000176807i
$547$	−5.22689	−	26.2774i	−0.223486	−	1.12354i	−0.915705	−	0.401851i	$-0.868367\pi$
$547$	−5.22689	−	26.2774i	−0.223486	−	1.12354i	0.692219	−	0.721687i	$-0.256633\pi$
$548$	18.0538	−	0.0941439i	0.771220	−	0.00402163i
$549$	2.69615	+	1.81612i	0.115069	+	0.0775103i
$550$	−0.0410274	−	15.7356i	−0.00174942	−	0.670968i
$551$	4.24507	−	10.2485i	0.180846	−	0.436601i
$552$	−30.9119	−	20.3895i	−1.31570	−	0.867836i
$553$	1.13042	+	2.72908i	0.0480704	+	0.116052i
$554$	13.9097	+	33.3349i	0.590966	+	1.41626i
$555$	13.4190	+	0.0250786i	0.569604	+	0.00106453i
$556$	8.70443	+	5.75069i	0.369150	+	0.243883i
$557$	6.81107	+	4.55101i	0.288594	+	0.192833i	0.691437	−	0.722437i	$-0.256978\pi$
$557$	6.81107	+	4.55101i	0.288594	+	0.192833i	−0.402843	+	0.915269i	$0.631978\pi$
$558$	−5.79018	+	28.9382i	−0.245118	+	1.22505i
$559$	−3.81563	−	3.81563i	−0.161384	−	0.161384i
$560$	−4.56690	−	2.98308i	−0.192987	−	0.126058i
$561$	−26.4863	+	39.4796i	−1.11825	+	1.66683i
$562$	−42.2014	+	8.50883i	−1.78016	+	0.358923i
$563$	1.37594	+	0.919371i	0.0579888	+	0.0387469i	0.584227	−	0.811590i	$-0.301398\pi$
$563$	1.37594	+	0.919371i	0.0579888	+	0.0387469i	−0.526238	+	0.850337i	$0.676398\pi$
$564$	−17.0274	+	17.1417i	−0.716983	+	0.721797i
$565$	−26.0853	−	5.18868i	−1.09741	−	0.218289i
$566$	−6.42759	+	15.6327i	−0.270172	+	0.657093i
$567$	6.60071	+	2.79210i	0.277204	+	0.117257i
$568$	2.62851	−	13.7767i	0.110290	−	0.578060i
$569$	8.37450	−	20.2178i	0.351077	−	0.847575i	−0.645410	−	0.763836i	$-0.723314\pi$
$569$	8.37450	−	20.2178i	0.351077	−	0.847575i	0.996488	−	0.0837394i	$-0.0266863\pi$
$570$	−6.24848	+	9.36647i	−0.261720	+	0.392318i
$571$	−12.6472	−	18.9278i	−0.529267	−	0.792104i	0.466451	−	0.884547i	$-0.345532\pi$
$571$	−12.6472	−	18.9278i	−0.529267	−	0.792104i	−0.995718	+	0.0924431i	$0.970532\pi$
$572$	28.4635	−	11.9643i	1.19012	−	0.500251i
$573$	−7.65934	−	18.5895i	−0.319973	−	0.776586i
$574$	−0.739737	−	1.10087i	−0.0308760	−	0.0459494i
$575$	−15.6268			−0.651683
$576$	8.91976	−	22.2809i	0.371657	−	0.928370i
$577$	3.02364			0.125876			0.0629378	−	0.998017i	$-0.479953\pi$
$577$	3.02364			0.125876			0.0629378	+	0.998017i	$0.479953\pi$
$578$	−7.10509	−	10.5737i	−0.295533	−	0.439809i
$579$	15.6274	+	37.9281i	0.649451	+	1.57624i
$580$	−5.48483	−	13.0487i	−0.227745	−	0.541817i
$581$	1.34158	+	2.00782i	0.0556582	+	0.0832984i
$582$	0.202970	−	0.304252i	0.00841338	−	0.0126117i
$583$	−19.9067	+	48.0590i	−0.824452	+	1.99040i
$584$	1.09893	+	1.61713i	0.0454739	+	0.0669174i
$585$	−10.3810	−	10.4589i	−0.429202	−	0.432422i
$586$	4.57473	−	11.1263i	0.188981	−	0.459625i
$587$	20.2802	+	4.03398i	0.837054	+	0.166500i	0.594963	−	0.803753i	$-0.297167\pi$
$587$	20.2802	+	4.03398i	0.837054	+	0.166500i	0.242091	+	0.970254i	$0.422167\pi$
$588$	−15.6452	−	15.5409i	−0.645197	−	0.640894i
$589$	15.5244	+	10.3731i	0.639672	+	0.427415i
$590$	−5.95208	+	1.20008i	−0.245043	+	0.0494066i
$591$	−10.3199	+	15.3825i	−0.424505	+	0.632753i
$592$	−3.34511	+	17.7844i	−0.137483	+	0.730934i
$593$	−25.5322	−	25.5322i	−1.04848	−	1.04848i	−0.998763	−	0.0497164i	$-0.984168\pi$
$593$	−25.5322	−	25.5322i	−1.04848	−	1.04848i	−0.0497164	−	0.998763i	$-0.515832\pi$
$594$	39.5504	+	0.118627i	1.62277	+	0.00486732i
$595$	5.78258	+	3.86380i	0.237063	+	0.158400i
$596$	−18.7169	+	28.3306i	−0.766675	+	1.16046i
$597$	0.217807		0.000407057i	0.00891423		1.66597e-5i
$598$	−11.8077	−	28.2975i	−0.482855	−	1.15717i
$599$	2.81924	+	6.80624i	0.115191	+	0.278095i	0.970951	−	0.239277i	$-0.0769103\pi$
$599$	2.81924	+	6.80624i	0.115191	+	0.278095i	−0.855761	+	0.517372i	$0.826910\pi$
$600$	−2.03495	−	9.92135i	−0.0830765	−	0.405037i
$601$	−2.76305	+	6.67058i	−0.112707	+	0.272099i	−0.970161	−	0.242462i	$-0.922045\pi$
$601$	−2.76305	+	6.67058i	−0.112707	+	0.272099i	0.857454	+	0.514561i	$0.172045\pi$
$602$	−0.00552391	−	2.11863i	−0.000225138	−	0.0863489i
$603$	−23.6999	+	35.1840i	−0.965135	+	1.43280i
$604$	0.0672883	+	12.9037i	0.00273792	+	0.525046i
$605$	−6.00284	−	30.1783i	−0.244050	−	1.22692i
$606$	−5.67600	+	0.00419119i	−0.230572	+	0.000170255i
$607$	−12.5060			−0.507603			−0.253802	−	0.967256i	$-0.581681\pi$
$607$	−12.5060			−0.507603			−0.253802	+	0.967256i	$0.581681\pi$
$608$	−10.8757	−	10.5958i	−0.441069	−	0.429716i
$609$	1.10160	+	5.59272i	0.0446391	+	0.226628i
$610$	0.505260	−	2.57519i	0.0204574	−	0.104266i
$611$	−19.6217	+	3.90300i	−0.793809	+	0.157898i
$612$	−11.6679	+	28.2869i	−0.471646	+	1.14343i
$613$	−21.1070	−	31.5888i	−0.852503	−	1.27586i	−0.959530	−	0.281605i	$-0.909133\pi$
$613$	−21.1070	−	31.5888i	−0.852503	−	1.27586i	0.107027	−	0.994256i	$-0.465867\pi$
$614$	−0.0403398	−	15.4719i	−0.00162798	−	0.624393i
$615$	−0.687906	+	3.42487i	−0.0277390	+	0.138104i
$616$	11.2357	+	4.55135i	0.452699	+	0.183379i
$617$	1.55951	−	0.645969i	0.0627834	−	0.0260057i	−0.351071	−	0.936349i	$-0.614182\pi$
$617$	1.55951	−	0.645969i	0.0627834	−	0.0260057i	0.413854	+	0.910343i	$0.364182\pi$
$618$	−24.5885	−	36.7406i	−0.989096	−	1.47792i
$619$	−12.4267	−	2.47182i	−0.499469	−	0.0993507i	−0.0610747	−	0.998133i	$-0.519453\pi$
$619$	−12.4267	−	2.47182i	−0.499469	−	0.0993507i	−0.438395	+	0.898783i	$0.644453\pi$
$620$	23.3419	−	4.76966i	0.937434	−	0.191554i
$621$	0.220212	−	39.2764i	0.00883681	−	1.57611i
$622$	9.37808	−	14.1148i	0.376027	−	0.565952i
$623$	8.93152	−	8.93152i	0.357834	−	0.357834i
$624$	16.4283	−	11.1816i	0.657657	−	0.447623i
$625$	7.34638	+	7.34638i	0.293855	+	0.293855i
$626$	−30.3056	+	6.11034i	−1.21125	+	0.244218i
$627$	9.61879	−	23.0996i	0.384138	−	0.922510i
$628$	−5.08763	+	26.2930i	−0.203018	+	1.04921i
$629$	4.50109	−	22.6285i	0.179470	−	0.902258i
$630$	0.00654068	−	5.78573i	0.000260587	−	0.230509i
$631$	−0.496224	−	1.19799i	−0.0197544	−	0.0476912i	0.913695	−	0.406402i	$-0.133217\pi$
$631$	−0.496224	−	1.19799i	−0.0197544	−	0.0476912i	−0.933449	+	0.358710i	$0.883217\pi$
$632$	8.76902	+	5.76057i	0.348813	+	0.229143i
$633$	−4.91921	+	24.4913i	−0.195521	+	0.973440i
$634$	0.382765	−	0.384767i	0.0152016	−	0.0152810i
$635$	28.8722	−	19.2918i	1.14576	−	0.765570i
$636$	−6.42185	+	32.8590i	−0.254643	+	1.30294i
$637$	−3.56226	−	17.9087i	−0.141142	−	0.709567i
$638$	17.5443	+	26.1093i	0.694586	+	1.03368i
$639$	13.7648	−	5.64140i	0.544529	−	0.223170i
$640$	−19.3715	+	0.353590i	−0.765725	+	0.0139769i
$641$		−	36.7026i		−	1.44967i	−0.688925	−	0.724833i	$-0.741917\pi$
$641$		−	36.7026i		−	1.44967i	0.688925	−	0.724833i	$-0.258083\pi$
$642$	−16.5648	+	16.5892i	−0.653759	+	0.654725i
$643$	24.2814	−	4.82988i	0.957566	−	0.190472i	0.308518	−	0.951219i	$-0.400167\pi$
$643$	24.2814	−	4.82988i	0.957566	−	0.190472i	0.649049	+	0.760747i	$0.275167\pi$
$644$	4.54894	−	11.1462i	0.179253	−	0.439220i
$645$	−3.95308	+	3.93833i	−0.155652	+	0.155072i
$646$	13.7244	+	13.6530i	0.539978	+	0.537169i
$647$	30.2121	+	12.5143i	1.18776	+	0.491987i	0.887026	−	0.461720i	$-0.152768\pi$
$647$	30.2121	+	12.5143i	1.18776	+	0.491987i	0.300736	+	0.953707i	$0.402768\pi$
$648$	24.9650	−	4.97484i	0.980718	−	0.195430i
$649$	12.4666	−	5.16383i	0.489357	−	0.202698i
$650$	3.18901	−	7.75609i	0.125083	−	0.304219i
$651$	−9.59424	−	0.0179306i	−0.376028	−	0.000702756i
$652$	40.8782	+	7.90981i	1.60091	+	0.309772i
$653$	20.6065	−	30.8399i	0.806396	−	1.20686i	−0.168830	−	0.985645i	$-0.553999\pi$
$653$	20.6065	−	30.8399i	0.806396	−	1.20686i	0.975226	−	0.221212i	$-0.0710012\pi$
$654$	15.5959	−	6.47354i	0.609849	−	0.253135i
$655$	−1.54671	+	1.54671i	−0.0604349	+	0.0604349i
$656$	−4.37084	−	1.75729i	−0.170653	−	0.0686105i
$657$	−0.800760	+	1.91295i	−0.0312406	+	0.0746313i
$658$	−6.54242	−	4.34687i	−0.255050	−	0.169459i
$659$	−9.69701	+	14.5126i	−0.377742	+	0.565330i	−0.970818	−	0.239815i	$-0.922913\pi$
$659$	−9.69701	+	14.5126i	−0.377742	+	0.565330i	0.593077	+	0.805146i	$0.297913\pi$
$660$	−12.3171	−	29.4570i	−0.479443	−	1.14661i
$661$	−6.05894	+	30.4603i	−0.235665	+	1.18477i	0.663845	+	0.747870i	$0.268924\pi$
$661$	−6.05894	+	30.4603i	−0.235665	+	1.18477i	−0.899510	+	0.436900i	$0.856076\pi$
$662$	3.82869	+	9.17554i	0.148806	+	0.356617i
$663$	−21.0928	+	14.0368i	−0.819175	+	0.545143i
$664$	7.94947	+	3.22016i	0.308499	+	0.124967i
$665$	−3.38179	−	1.40079i	−0.131140	−	0.0543201i
$666$	−17.7412	+	7.32517i	−0.687458	+	0.283845i
$667$	25.9740	−	17.3553i	1.00572	−	0.671999i
$668$	−16.6143	−	16.4419i	−0.642826	−	0.636156i
$669$	−10.2006	−	24.7573i	−0.394379	−	0.957172i
$670$	33.6055	+	6.59350i	1.29829	+	0.254729i
$671$			5.83206i			0.225144i
$672$	7.66899	+	1.43662i	0.295838	+	0.0554187i
$673$		−	1.42269i		−	0.0548405i	−0.999624	−	0.0274203i	$-0.991271\pi$
$673$		−	1.42269i		−	0.0548405i	0.999624	−	0.0274203i	$-0.00872923\pi$
$674$	−6.67525	+	34.0221i	−0.257121	+	1.31048i
$675$	7.63838	−	7.55321i	0.294002	−	0.290723i
$676$	−9.54501	+	0.0497738i	−0.367116	+	0.00191438i
$677$	−30.5664	+	20.4238i	−1.17476	+	0.784951i	−0.980600	−	0.196019i	$-0.937199\pi$
$677$	−30.5664	+	20.4238i	−1.17476	+	0.784951i	−0.194161	+	0.980970i	$0.562199\pi$
$678$	37.3058	−	7.44923i	1.43272	−	0.286086i
$679$	0.109851	+	0.0455019i	0.00421570	+	0.00174620i
$680$	24.7010	−	0.193213i	0.947241	−	0.00740936i
$681$	8.19485	+	12.3142i	0.314027	+	0.471882i
$682$	−48.8624	+	20.3889i	−1.87104	+	0.780731i
$683$	−0.0811176	+	0.407806i	−0.00310388	+	0.0156043i	−0.982306	−	0.187282i	$-0.940032\pi$
$683$	−0.0811176	+	0.407806i	−0.00310388	+	0.0156043i	0.979202	+	0.202886i	$0.0650322\pi$
$684$	3.11860	−	15.8002i	0.119243	−	0.604135i
$685$	8.58843	−	12.8535i	0.328147	−	0.491106i
$686$	8.32997	−	12.5373i	0.318040	−	0.478677i
$687$	2.01995	−	3.01087i	0.0770659	−	0.114872i
$688$	−4.24572	−	6.21291i	−0.161867	−	0.236865i
$689$	−19.6029	+	19.6029i	−0.746811	+	0.746811i
$690$	−29.2850	+	12.1556i	−1.11486	+	0.462755i
$691$	−6.46900	+	9.68155i	−0.246093	+	0.368303i	−0.933867	−	0.357621i	$-0.883588\pi$
$691$	−6.46900	+	9.68155i	−0.246093	+	0.368303i	0.687774	+	0.725925i	$0.258588\pi$
$692$	20.3698	−	13.7649i	0.774344	−	0.523262i
$693$	2.46130	+	12.6201i	0.0934969	+	0.479399i
$694$	23.9371	+	9.84204i	0.908640	+	0.373599i
$695$	8.25287	−	3.41845i	0.313049	−	0.129669i
$696$	14.4011	+	14.2307i	0.545873	+	0.539413i
$697$	5.54894	+	2.29844i	0.210181	+	0.0870598i
$698$	−13.5516	+	13.6224i	−0.512934	+	0.515616i
$699$	12.3684	+	12.4147i	0.467817	+	0.469569i
$700$	3.03533	−	1.27586i	0.114725	−	0.0482229i
$701$	37.1691	−	7.39339i	1.40386	−	0.279244i	0.565672	−	0.824631i	$-0.308617\pi$
$701$	37.1691	−	7.39339i	1.40386	−	0.279244i	0.838185	+	0.545386i	$0.183617\pi$
$702$	19.4492	+	8.12457i	0.734064	+	0.306642i
$703$			12.1434i			0.457995i
$704$	42.0934	−	9.05964i	1.58645	−	0.341448i
$705$	3.99813	+	20.2981i	0.150578	+	0.764472i
$706$	15.4984	−	10.4142i	0.583290	−	0.391945i
$707$	−0.359993	−	1.80981i	−0.0135389	−	0.0680648i
$708$	7.20508	−	4.84922i	0.270783	−	0.182245i
$709$	38.1803	−	25.5113i	1.43389	−	0.958096i	0.435573	−	0.900154i	$-0.356546\pi$
$709$	38.1803	−	25.5113i	1.43389	−	0.958096i	0.998320	−	0.0579428i	$-0.0184541\pi$
$710$	−8.51384	−	8.46956i	−0.319519	−	0.317857i
$711$	−0.0415952	+	11.1283i	−0.00155994	+	0.417342i
$712$	8.40800	−	44.0686i	0.315103	−	1.65154i
$713$	20.1213	+	48.5770i	0.753547	+	1.81922i
$714$	−9.75794	−	1.93349i	−0.365182	−	0.0723589i
$715$	5.15768	−	25.9294i	0.192886	−	0.969706i
$716$	12.9547	−	8.75411i	0.484140	−	0.327156i
$717$	−18.3611	−	7.64563i	−0.685706	−	0.285531i
$718$	6.95277	+	34.4838i	0.259475	+	1.28692i
$719$	−15.3249	−	15.3249i	−0.571523	−	0.571523i	0.361031	−	0.932554i	$-0.382425\pi$
$719$	−15.3249	−	15.3249i	−0.571523	−	0.571523i	−0.932554	+	0.361031i	$0.882425\pi$
$720$	−11.5310	−	17.0099i	−0.429736	−	0.633922i
$721$	10.1629	−	10.1629i	0.378484	−	0.378484i
$722$	13.8939	+	9.23127i	0.517076	+	0.343552i
$723$	−19.4484	+	46.7055i	−0.723293	+	1.73699i
$724$	14.3738	−	21.7567i	0.534198	−	0.808580i
$725$	8.37960	+	1.66681i	0.311210	+	0.0619036i
$726$	24.4785	+	36.5762i	0.908483	+	1.35747i
$727$	−5.58340	+	2.31272i	−0.207077	+	0.0857740i	−0.483811	−	0.875172i	$-0.660748\pi$
$727$	−5.58340	+	2.31272i	−0.207077	+	0.0857740i	0.276734	+	0.960946i	$0.410748\pi$
$728$	4.60389	+	4.53242i	0.170631	+	0.167983i
$729$	18.8766	+	19.3048i	0.699133	+	0.714991i
$730$	1.67412	−	0.00436494i	0.0619620	−	0.000161554i
$731$	5.33018	+	7.97717i	0.197144	+	0.295046i
$732$	0.744618	+	3.67907i	0.0275219	+	0.135982i
$733$	−16.4103	+	3.26422i	−0.606130	+	0.120567i	−0.488608	−	0.872504i	$-0.662495\pi$
$733$	−16.4103	+	3.26422i	−0.606130	+	0.120567i	−0.117522	+	0.993070i	$0.537495\pi$
$734$	−11.8683	−	2.32860i	−0.438066	−	0.0859500i
$735$	−18.5260	+	3.64908i	−0.683344	+	0.134598i
$736$	−8.88794	−	41.8255i	−0.327614	−	1.54171i
$737$	−76.1068			−2.80343
$738$	−0.969255	−	4.90173i	−0.0356788	−	0.180435i
$739$	4.06626	+	20.4425i	0.149580	+	0.751988i	0.980642	+	0.195809i	$0.0627332\pi$
$739$	4.06626	+	20.4425i	0.149580	+	0.751988i	−0.831062	+	0.556179i	$0.812267\pi$
$740$	11.0135	+	10.8993i	0.404866	+	0.400665i
$741$	9.44708	−	9.41183i	0.347047	−	0.345752i
$742$	−10.8845	+	0.0283792i	−0.399583	+	0.00104183i
$743$	−11.3675	+	27.4437i	−0.417035	+	1.00681i	0.566167	+	0.824290i	$0.308426\pi$
$743$	−11.3675	+	27.4437i	−0.417035	+	1.00681i	−0.983202	+	0.182521i	$0.941574\pi$
$744$	−28.2210	+	19.1006i	−1.03463	+	0.700264i
$745$	11.1261	+	26.8608i	0.407630	+	0.984105i
$746$	−35.6831	+	14.8895i	−1.30645	+	0.545145i
$747$	1.74141	+	8.92897i	0.0637150	+	0.326694i
$748$	−53.7845	+	10.9903i	−1.96655	+	0.401844i
$749$	−6.33700	−	4.23425i	−0.231549	−	0.154716i
$750$	−27.3975	−	11.3247i	−1.00041	−	0.413520i
$751$	9.88591	+	9.88591i	0.360742	+	0.360742i	0.864086	−	0.503344i	$-0.167897\pi$
$751$	9.88591	+	9.88591i	0.360742	+	0.360742i	−0.503344	+	0.864086i	$0.667897\pi$
$752$	−27.8976	+	0.290960i	−1.01732	+	0.0106102i
$753$	11.0043	+	7.38262i	0.401019	+	0.269038i
$754$	3.31339	+	16.4335i	0.120667	+	0.598473i
$755$	9.18688	+	6.13848i	0.334345	+	0.223402i
$756$	3.16397	+	7.64697i	0.115072	+	0.278118i
$757$	−2.43551	−	0.484453i	−0.0885202	−	0.0176078i	0.150631	−	0.988590i	$-0.451869\pi$
$757$	−2.43551	−	0.484453i	−0.0885202	−	0.0176078i	−0.239152	+	0.970982i	$0.576869\pi$
$758$	−12.8664	−	5.29019i	−0.467329	−	0.192148i
$759$	58.6626	−	39.0387i	2.12932	−	1.41702i
$760$	−12.7312	+	2.63608i	−0.461809	+	0.0956206i
$761$	14.2896	−	34.4982i	0.517999	−	1.25056i	−0.421132	−	0.906999i	$-0.638367\pi$
$761$	14.2896	−	34.4982i	0.517999	−	1.25056i	0.939131	−	0.343560i	$-0.111633\pi$
$762$	−27.5637	+	41.3180i	−0.998526	+	1.49679i
$763$	3.04989	+	4.56448i	0.110413	+	0.165245i
$764$	8.77237	−	21.4947i	0.317373	−	0.777652i
$765$	14.4745	+	21.8389i	0.523327	+	0.789588i
$766$	−10.7166	+	7.20108i	−0.387206	+	0.260186i
$767$	7.19131			0.259663
$768$	25.3973	−	11.0895i	0.916446	−	0.400157i
$769$	8.19388			0.295479			0.147739	−	0.989026i	$-0.452800\pi$
$769$	8.19388			0.295479			0.147739	+	0.989026i	$0.452800\pi$
$770$	8.61552	−	5.78925i	0.310482	−	0.208630i
$771$	−3.86335	+	1.59180i	−0.139135	+	0.0573273i
$772$	−17.8983	+	43.8558i	−0.644174	+	1.57840i
$773$	11.9974	+	17.9553i	0.431515	+	0.645808i	0.981966	−	0.189060i	$-0.0605440\pi$
$773$	11.9974	+	17.9553i	0.431515	+	0.645808i	−0.550451	+	0.834868i	$0.685544\pi$
$774$	3.06273	−	7.37051i	0.110088	−	0.264927i
$775$	−5.50316	+	13.2858i	−0.197679	+	0.477240i
$776$	0.413549	−	0.0856281i	0.0148455	−	0.00307387i
$777$	−3.45703	−	5.19480i	−0.124020	−	0.186363i
$778$	−1.05010	−	0.431763i	−0.0376481	−	0.0154795i
$779$	−3.10045	−	0.616718i	−0.111085	−	0.0220962i
$780$	−0.0569298	−	17.0157i	−0.00203841	−	0.609261i
$781$	22.1906	+	14.8273i	0.794042	+	0.530562i
$782$	10.7749	+	53.4407i	0.385311	+	1.91103i
$783$	−4.30744	+	21.0378i	−0.153935	+	0.751830i
$784$	−0.265558	−	25.4621i	−0.00948422	−	0.909359i
$785$	16.2147	+	16.2147i	0.578726	+	0.578726i
$786$	1.19518	−	2.89146i	0.0426306	−	0.103135i
$787$	−35.1663	−	23.4974i	−1.25354	−	0.837591i	−0.261712	−	0.965146i	$-0.584287\pi$
$787$	−35.1663	−	23.4974i	−1.25354	−	0.837591i	−0.991832	+	0.127555i	$0.959287\pi$
$788$	−20.9562	+	4.28216i	−0.746533	+	0.152546i
$789$	0.0549840	−	29.4207i	0.00195748	−	1.04740i
$790$	8.29085	−	3.45953i	0.294975	−	0.123085i
$791$	4.73285	+	11.4261i	0.168281	+	0.406265i
$792$	32.4246	+	32.1608i	1.15216	+	1.14278i
$793$	−1.18943	+	2.87153i	−0.0422377	+	0.101971i
$794$	44.4848	−	0.115985i	1.57871	−	0.00411617i
$795$	20.2333	+	20.3090i	0.717600	+	0.720287i
$796$	0.178764	+	0.176909i	0.00633611	+	0.00627037i
$797$	−1.56119	−	7.84862i	−0.0553001	−	0.278012i	0.943235	−	0.332127i	$-0.107766\pi$
$797$	−1.56119	−	7.84862i	−0.0553001	−	0.278012i	−0.998535	+	0.0541148i	$0.982766\pi$
$798$	5.23573	−	0.00386609i	0.185343	−	0.000136858i
$799$	35.5700			1.25838
$800$	6.36990	−	9.80764i	0.225210	−	0.346753i
$801$	44.0305	−	18.0455i	1.55574	−	0.637607i
$802$	−24.4355	−	4.79432i	−0.862846	−	0.169293i
$803$	−3.64900	+	0.725831i	−0.128770	+	0.0256140i
$804$	−48.0109	+	9.71706i	−1.69321	+	0.342694i
$805$	−5.72688	−	8.57088i	−0.201846	−	0.302084i
$806$	−28.2166	+	0.0735692i	−0.993887	+	0.00259136i
$807$	30.3970	+	6.10543i	1.07003	+	0.214921i
$808$	−4.67054	−	4.59804i	−0.164309	−	0.161759i
$809$	−1.59008	+	0.658632i	−0.0559042	+	0.0231563i	−0.410460	−	0.911878i	$-0.634632\pi$
$809$	−1.59008	+	0.658632i	−0.0559042	+	0.0231563i	0.354556	+	0.935035i	$0.384632\pi$
$810$	8.43912	−	20.0965i	0.296520	−	0.706121i
$811$	44.0264	+	8.75739i	1.54598	+	0.307514i	0.893067	−	0.449923i	$-0.148549\pi$
$811$	44.0264	+	8.75739i	1.54598	+	0.307514i	0.652908	+	0.757437i	$0.273549\pi$
$812$	−3.62818	+	5.49173i	−0.127324	+	0.192722i
$813$	−46.8403	−	19.5045i	−1.64276	−	0.684053i
$814$	−28.6815	−	19.0564i	−1.00528	−	0.667925i
$815$	25.2092	−	25.2092i	0.883039	−	0.883039i
$816$	−32.5260	+	13.8001i	−1.13864	+	0.483099i
$817$	−3.57062	−	3.57062i	−0.124920	−	0.124920i
$818$	−4.40159	−	21.8307i	−0.153898	−	0.763292i
$819$	−1.36196	+	6.71573i	−0.0475906	+	0.234667i
$820$	−3.34215	+	2.25845i	−0.116713	+	0.0788686i
$821$	−5.35307	+	26.9117i	−0.186824	+	0.939225i	0.767636	+	0.640886i	$0.221433\pi$
$821$	−5.35307	+	26.9117i	−0.186824	+	0.939225i	−0.954460	+	0.298340i	$0.903567\pi$
$822$	−4.29774	+	21.6899i	−0.149901	+	0.756522i
$823$	−0.538169	−	1.29925i	−0.0187594	−	0.0452891i	0.914222	−	0.405213i	$-0.132803\pi$
$823$	−0.538169	−	1.29925i	−0.0187594	−	0.0452891i	−0.932982	+	0.359924i	$0.882803\pi$
$824$	9.56716	−	50.1441i	0.333288	−	1.74685i
$825$	18.8948	+	3.79513i	0.657832	+	0.132130i
$826$	2.00169	+	1.99128i	0.0696478	+	0.0692855i
$827$	42.6108	−	28.4716i	1.48172	−	0.990056i	0.488660	−	0.872474i	$-0.337486\pi$
$827$	42.6108	−	28.4716i	1.48172	−	0.990056i	0.993063	−	0.117582i	$-0.0375142\pi$
$828$	32.0222	−	32.1169i	1.11285	−	1.11614i
$829$	−10.7528	−	54.0581i	−0.373461	−	1.87752i	−0.470760	−	0.882262i	$-0.656020\pi$
$829$	−10.7528	−	54.0581i	−0.373461	−	1.87752i	0.0972982	−	0.995255i	$-0.468980\pi$
$830$	6.09564	−	4.09601i	0.211583	−	0.142174i
$831$	−43.4044	+	8.54938i	−1.50568	+	0.296575i
$832$	22.5732	+	4.12409i	0.782583	+	0.142977i
$833$			32.4646i			1.12483i
$834$	−9.02816	+	9.04150i	−0.312619	+	0.313082i
$835$	−19.6299	+	3.90463i	−0.679320	+	0.135125i
$836$	26.6358	−	11.1960i	0.921220	−	0.387222i
$837$	−33.3150	−	14.0189i	−1.15153	−	0.484563i
$838$	20.8227	−	20.9316i	0.719309	−	0.723070i
$839$	11.4210	+	4.73072i	0.394296	+	0.163323i	0.571017	−	0.820938i	$-0.306549\pi$
$839$	11.4210	+	4.73072i	0.394296	+	0.163323i	−0.176721	+	0.984261i	$0.556549\pi$
$840$	4.69583	−	4.75207i	0.162021	−	0.163962i
$841$	11.0132	−	4.56183i	0.379766	−	0.157304i
$842$	−10.7497	−	4.41989i	−0.370460	−	0.152319i
$843$	0.0985392	−	52.7260i	0.00339387	−	1.81598i
$844$	−23.8997	+	16.1502i	−0.822663	+	0.555913i
$845$	−4.54069	+	6.79562i	−0.156204	+	0.233776i
$846$	−16.4123	−	24.6230i	−0.564267	−	0.846556i
$847$	−10.1174	+	10.1174i	−0.347637	+	0.347637i
$848$	−31.9190	+	21.8125i	−1.09610	+	0.749044i
$849$	−17.1910	−	11.5332i	−0.589994	−	0.395818i
$850$	−8.25127	+	12.4189i	−0.283016	+	0.425964i
$851$	−18.9987	+	28.4336i	−0.651268	+	0.974692i
$852$	15.8917	+	6.52036i	0.544441	+	0.223384i
$853$	8.07843	−	40.6130i	0.276600	−	1.39056i	−0.553454	−	0.832880i	$-0.686691\pi$
$853$	8.07843	−	40.6130i	0.276600	−	1.39056i	0.830054	−	0.557683i	$-0.188309\pi$
$854$	−1.12620	+	0.469933i	−0.0385379	+	0.0160808i
$855$	−9.71442	−	9.78731i	−0.332226	−	0.334719i
$856$	−27.0693	+	0.211737i	−0.925210	+	0.00723704i
$857$	−11.4578	−	4.74597i	−0.391390	−	0.162119i	0.178305	−	0.983975i	$-0.442939\pi$
$857$	−11.4578	−	4.74597i	−0.391390	−	0.162119i	−0.569695	+	0.821856i	$0.692939\pi$
$858$	7.40473	+	37.0829i	0.252793	+	1.26599i
$859$	13.4982	−	9.01922i	0.460553	−	0.307732i	−0.303562	−	0.952812i	$-0.598176\pi$
$859$	13.4982	−	9.01922i	0.460553	−	0.307732i	0.764115	+	0.645080i	$0.223176\pi$
$860$	−6.44324	+	0.0335991i	−0.219713	+	0.00114572i
$861$	1.50191	−	0.618827i	0.0511850	−	0.0210896i
$862$	8.52762	−	43.4632i	0.290452	−	1.48036i
$863$			25.3881i			0.864222i	0.901820	+	0.432111i	$0.142231\pi$
$863$			25.3881i			0.864222i	−0.901820	+	0.432111i	$0.857769\pi$
$864$	24.5608	+	16.1483i	0.835574	+	0.549377i
$865$		−	21.0505i		−	0.715739i
$866$	15.2100	+	2.98426i	0.516858	+	0.101409i
$867$	14.4257	−	5.94376i	0.489922	−	0.201861i
$868$	−7.87442	−	7.79273i	−0.267275	−	0.264502i
$869$	−16.6001	+	11.0919i	−0.563121	+	0.376266i
$870$	17.0001	−	3.39459i	0.576358	−	0.115087i
$871$	−37.4726	−	15.5217i	−1.26971	−	0.525932i
$872$	18.0719	+	7.32056i	0.611993	+	0.247906i
$873$	0.315555	+	0.317922i	0.0106799	+	0.0107600i
$874$	−11.0496	−	26.4805i	−0.373757	−	0.895716i
$875$	1.88024	−	9.45263i	0.0635639	−	0.319557i
$876$	−2.20925	+	0.923772i	−0.0746435	+	0.0312114i
$877$	−14.4959	+	21.6947i	−0.489492	+	0.732577i	−0.991187	−	0.132468i	$-0.957710\pi$
$877$	−14.4959	+	21.6947i	−0.489492	+	0.732577i	0.501695	+	0.865044i	$0.332710\pi$
$878$	4.93922	+	3.28168i	0.166691	+	0.110751i
$879$	12.2354	+	8.20856i	0.412690	+	0.276868i
$880$	13.7527	−	34.2067i	0.463603	−	1.15311i
$881$	20.3613	−	20.3613i	0.685990	−	0.685990i	−0.275353	−	0.961343i	$-0.588795\pi$
$881$	20.3613	−	20.3613i	0.685990	−	0.685990i	0.961343	+	0.275353i	$0.0887949\pi$
$882$	22.4733	−	14.9795i	0.756716	−	0.504385i
$883$	16.0071	−	23.9562i	0.538680	−	0.806192i	−0.457884	−	0.889012i	$-0.651393\pi$
$883$	16.0071	−	23.9562i	0.538680	−	0.806192i	0.996565	+	0.0828199i	$0.0263926\pi$
$884$	−28.7232	−	5.55786i	−0.966067	−	0.186931i
$885$	0.0138979	−	7.43646i	0.000467174	−	0.249974i
$886$	−8.73940	+	21.2554i	−0.293606	+	0.714088i
$887$	−39.4628	+	16.3460i	−1.32503	+	0.548845i	−0.929234	−	0.369493i	$-0.879531\pi$
$887$	−39.4628	+	16.3460i	−1.32503	+	0.548845i	−0.395796	+	0.918338i	$0.629531\pi$
$888$	−20.5264	−	8.35949i	−0.688819	−	0.280526i
$889$	−14.9180	−	6.17923i	−0.500333	−	0.207245i
$890$	−27.2338	−	27.0922i	−0.912879	−	0.908131i
$891$	−9.80495	+	47.4367i	−0.328478	+	1.58919i
$892$	11.6830	−	28.6265i	0.391175	−	0.958486i
$893$	−18.3618	+	3.65238i	−0.614453	+	0.122222i
$894$	−29.4276	−	29.3842i	−0.984207	−	0.982754i
$895$		−	13.3876i		−	0.447499i
$896$	5.14125	+	7.39846i	0.171757	+	0.247165i
$897$	36.8455	−	7.25746i	1.23023	−	0.242320i
$898$	−3.50479	−	5.21579i	−0.116956	−	0.174053i
$899$	−5.60829	−	28.1948i	−0.187047	−	0.940349i
$900$	12.4041	−	0.0183185i	0.413469	−	0.000610616i
$901$	40.9829	−	27.3839i	1.36534	−	0.912290i
$902$	6.32212	−	6.35517i	0.210504	−	0.211604i
$903$	2.54398	+	0.510974i	0.0846584	+	0.0170041i
$904$	36.7141	+	24.1183i	1.22109	+	0.802164i
$905$	−8.54440	−	20.6280i	−0.284025	−	0.685698i
$906$	−15.5026	−	3.07176i	−0.515040	−	0.102052i
$907$	3.37324	−	16.9584i	0.112007	−	0.563096i	−0.883502	−	0.468427i	$-0.844821\pi$
$907$	3.37324	−	16.9584i	0.112007	−	0.563096i	0.995509	−	0.0946685i	$-0.0301791\pi$
$908$	−3.24475	+	16.7690i	−0.107681	+	0.556498i
$909$	1.38167	−	6.81296i	0.0458272	−	0.225972i
$910$	5.42271	−	1.09335i	0.179761	−	0.0362442i
$911$	−2.54657	−	2.54657i	−0.0843717	−	0.0843717i	0.663661	−	0.748033i	$-0.269002\pi$
$911$	−2.54657	−	2.54657i	−0.0843717	−	0.0843717i	−0.748033	+	0.663661i	$0.769002\pi$
$912$	15.3734	−	10.4636i	0.509064	−	0.346485i
$913$	−11.5406	+	11.5406i	−0.381938	+	0.381938i
$914$	−2.76823	+	4.16642i	−0.0915648	+	0.137813i
$915$	2.96712	+	1.23552i	0.0980899	+	0.0408451i
$916$	4.10181	−	0.838160i	0.135528	−	0.0276936i
$917$	0.997605	+	0.198436i	0.0329438	+	0.00655294i
$918$	−31.0973	−	20.9138i	−1.02636	−	0.690257i
$919$	−30.5861	+	12.6692i	−1.00894	+	0.417918i	−0.825069	−	0.565032i	$-0.808864\pi$
$919$	−30.5861	+	12.6692i	−1.00894	+	0.417918i	−0.183874	+	0.982950i	$0.558864\pi$
$920$	−33.9343	−	13.7461i	−1.11878	−	0.453195i
$921$	18.5781	+	3.73152i	0.612169	+	0.122958i
$922$	0.00295500	+	1.13336i	9.73178e−5	+	0.0373251i
$923$	7.90200	+	11.8262i	0.260097	+	0.389263i
$924$	−8.20721	+	12.3724i	−0.269997	+	0.407021i
$925$	−9.17310	+	1.82464i	−0.301610	+	0.0599939i
$926$	−5.22727	+	26.6421i	−0.171779	+	0.875513i
$927$	50.1007	−	20.5333i	1.64552	−	0.674404i
$928$	0.304761	+	23.3762i	0.0100043	+	0.767362i
$929$	15.5822			0.511236			0.255618	−	0.966778i	$-0.417721\pi$
$929$	15.5822			0.511236			0.255618	+	0.966778i	$0.417721\pi$
$930$	0.0215457	+	29.1786i	0.000706510	+	0.956805i
$931$	−3.33352	−	16.7587i	−0.109252	−	0.549245i
$932$	0.105519	+	20.2351i	0.00345639	+	0.662824i
$933$	14.6485	+	14.7033i	0.479569	+	0.481365i
$934$	0.149490	+	57.3351i	0.00489146	+	1.87606i
$935$	−17.9879	+	43.4265i	−0.588266	+	1.42020i
$936$	9.40580	+	22.4479i	0.307438	+	0.733731i
$937$	13.5497	+	32.7119i	0.442650	+	1.06865i	0.975016	+	0.222136i	$0.0713030\pi$
$937$	13.5497	+	32.7119i	0.442650	+	1.06865i	−0.532366	+	0.846514i	$0.678697\pi$
$938$	−6.13249	−	14.6966i	−0.200233	−	0.479863i
$939$	0.0707627	−	37.8634i	0.00230925	−	1.23563i
$940$	−13.1680	+	19.9316i	−0.429494	+	0.650097i
$941$	15.8636	+	10.5997i	0.517139	+	0.345541i	0.786593	−	0.617472i	$-0.211843\pi$
$941$	15.8636	+	10.5997i	0.517139	+	0.345541i	−0.269454	+	0.963013i	$0.586843\pi$
$942$	−30.3121	−	12.5295i	−0.987622	−	0.408232i
$943$	−6.29482	−	6.29482i	−0.204987	−	0.204987i
$944$	9.85567	+	1.85378i	0.320775	+	0.0603354i
$945$	6.94203	+	1.42136i	0.225824	+	0.0462370i
$946$	14.0368	−	2.83016i	0.456376	−	0.0920164i
$947$	3.79100	+	2.53307i	0.123191	+	0.0823136i	0.615639	−	0.788028i	$-0.288898\pi$
$947$	3.79100	+	2.53307i	0.123191	+	0.0823136i	−0.492448	+	0.870342i	$0.663898\pi$
$948$	−9.05580	+	9.11660i	−0.294119	+	0.296093i
$949$	−1.94468	−	0.386822i	−0.0631271	−	0.0125568i
$950$	2.98424	−	7.25806i	0.0968215	−	0.235483i
$951$	0.368256	+	0.553371i	0.0119415	+	0.0179443i
$952$	−6.45610	−	9.50052i	−0.209243	−	0.307913i
$953$	−2.16803	+	5.23408i	−0.0702292	+	0.169548i	−0.955097	−	0.296295i	$-0.904249\pi$
$953$	−2.16803	+	5.23408i	−0.0702292	+	0.169548i	0.884867	+	0.465843i	$0.154249\pi$
$954$	−37.8662	−	15.7349i	−1.22596	−	0.509435i
$955$	−11.0440	−	16.5285i	−0.357374	−	0.534848i
$956$	−8.89930	−	21.1719i	−0.287824	−	0.684747i
$957$	−35.6208	+	14.6767i	−1.15146	+	0.474430i
$958$	0.470337	+	0.699952i	0.0151959	+	0.0226144i
$959$	−7.18846			−0.232128
$960$	4.30830	−	23.3347i	0.139050	−	0.753124i
$961$	17.3858			0.560832
$962$	−10.2354	−	15.2322i	−0.330003	−	0.491107i
$963$	−15.8623	−	23.9328i	−0.511156	−	0.771224i
$964$	−53.8554	+	22.6374i	−1.73457	+	0.729100i
$965$	22.5330	+	33.7231i	0.725364	+	1.08558i
$966$	12.2655	+	8.18244i	0.394636	+	0.263266i
$967$	−4.84384	+	11.6941i	−0.155767	+	0.376056i	−0.982427	−	0.186646i	$-0.940238\pi$
$967$	−4.84384	+	11.6941i	−0.155767	+	0.376056i	0.826660	+	0.562702i	$0.190238\pi$
$968$	−9.52435	+	49.9197i	−0.306124	+	1.60448i
$969$	−19.7383	+	13.1355i	−0.634087	+	0.421971i
$970$	0.137511	−	0.334446i	0.00441523	−	0.0107384i
$971$	14.2757	+	2.83961i	0.458129	+	0.0911275i	0.418760	−	0.908097i	$-0.362465\pi$
$971$	14.2757	+	2.83961i	0.458129	+	0.0911275i	0.0393696	+	0.999225i	$0.487465\pi$
$972$	−0.128756	+	31.1766i	−0.00412985	+	0.999991i
$973$	−3.45380	−	2.30776i	−0.110724	−	0.0739833i
$974$	21.2805	−	4.29066i	0.681871	−	0.137482i
$975$	8.52921	+	5.72212i	0.273153	+	0.183255i
$976$	−2.37033	+	3.62881i	−0.0758724	+	0.116155i
$977$	−16.4215	−	16.4215i	−0.525370	−	0.525370i	0.393818	−	0.919188i	$-0.371154\pi$
$977$	−16.4215	−	16.4215i	−0.525370	−	0.525370i	−0.919188	+	0.393818i	$0.871154\pi$
$978$	−19.4798	+	47.1267i	−0.622894	+	1.50695i
$979$	70.9825	+	47.4290i	2.26861	+	1.51584i
$980$	−18.1915	−	12.0184i	−0.581106	−	0.383915i
$981$	3.95884	+	20.2987i	0.126396	+	0.648087i
$982$	−0.0178914	−	0.0428772i	−0.000570939	−	0.00136827i
$983$	−16.4499	−	39.7135i	−0.524669	−	1.26666i	−0.934975	−	0.354715i	$-0.884578\pi$
$983$	−16.4499	−	39.7135i	−0.524669	−	1.26666i	0.410306	−	0.911948i	$-0.365422\pi$
$984$	3.17681	−	4.81626i	0.101273	−	0.153537i
$985$	−7.00865	+	16.9204i	−0.223314	+	0.539128i
$986$	−0.0777130	−	29.8059i	−0.00247489	−	0.949214i
$987$	6.81520	−	6.78977i	0.216930	−	0.216121i
$988$	15.3981	−	0.0802953i	0.489877	−	0.00255453i
$989$	−2.77423	−	13.9470i	−0.0882153	−	0.443488i
$990$	38.3614	−	7.58548i	1.21921	−	0.241082i
$991$	−24.5959			−0.781314			−0.390657	−	0.920536i	$-0.627752\pi$
$991$	−24.5959			−0.781314			−0.390657	+	0.920536i	$0.627752\pi$
$992$	−38.6897	−	7.17286i	−1.22840	−	0.227739i
$993$	−11.9472	+	2.35325i	−0.379134	+	0.0746781i
$994$	−1.07517	+	5.47987i	−0.0341023	+	0.173811i
$995$	0.211211	−	0.0420124i	0.00669583	−	0.00133188i
$996$	−5.80675	+	8.75368i	−0.183994	+	0.277371i
$997$	10.5381	+	15.7713i	0.333744	+	0.499483i	0.959949	−	0.280176i	$-0.0903927\pi$
$997$	10.5381	+	15.7713i	0.333744	+	0.499483i	−0.626205	+	0.779658i	$0.715393\pi$
$998$	0.0358457	+	13.7482i	0.00113468	+	0.435192i
$999$	−4.45679	−	23.0814i	−0.141007	−	0.730263i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.107.5	✓	240
3.2	odd	2	inner	192.2.s.a.107.26	yes	240
4.3	odd	2		768.2.s.a.335.18		240
12.11	even	2		768.2.s.a.335.14		240
64.3	odd	16	inner	192.2.s.a.131.26	yes	240
64.61	even	16		768.2.s.a.431.14		240
192.125	odd	16		768.2.s.a.431.18		240
192.131	even	16	inner	192.2.s.a.131.5	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.5	✓	240	1.1	even	1	trivial
192.2.s.a.107.26	yes	240	3.2	odd	2	inner
192.2.s.a.131.5	yes	240	192.131	even	16	inner
192.2.s.a.131.26	yes	240	64.3	odd	16	inner
768.2.s.a.335.14		240	12.11	even	2
768.2.s.a.335.18		240	4.3	odd	2
768.2.s.a.431.14		240	64.61	even	16
768.2.s.a.431.18		240	192.125	odd	16

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.17382 + 0.788758i) q^{2} +(-0.659835 - 1.60144i) q^{3} +(0.755721 - 1.85172i) q^{4} +(-0.951414 - 1.42389i) q^{5} +(2.03768 + 1.35936i) q^{6} +(-0.304742 + 0.735711i) q^{7} +(0.573480 + 2.76968i) q^{8} +(-2.12923 + 2.11338i) q^{9} +(2.23990 + 0.920961i) q^{10} +(-5.27874 - 1.05001i) q^{11} +(-3.46408 + 0.0115898i) q^{12} +(-2.38495 - 1.59357i) q^{13} +(-0.222585 - 1.10396i) q^{14} +(-1.65250 + 2.46317i) q^{15} +(-2.85777 - 2.79878i) q^{16} +(3.60610 + 3.60610i) q^{17} +(0.832402 - 4.16018i) q^{18} +(-2.23180 - 1.49124i) q^{19} +(-3.35566 + 0.685692i) q^{20} +(1.37928 + 0.00257772i) q^{21} +(7.02451 - 2.93113i) q^{22} +(-2.89265 - 6.98348i) q^{23} +(4.05708 - 2.74593i) q^{24} +(0.791139 - 1.90998i) q^{25} +(4.05645 - 0.0105764i) q^{26} +(4.78939 + 2.01537i) q^{27} +(1.13203 + 1.12029i) q^{28} +(0.806254 + 4.05331i) q^{29} +(-0.00309743 - 4.19475i) q^{30} -6.95599 q^{31} +(5.56207 + 1.03118i) q^{32} +(1.80158 + 9.14643i) q^{33} +(-7.07727 - 1.38858i) q^{34} +(1.33751 - 0.266047i) q^{35} +(2.30428 + 5.53988i) q^{36} +(-2.51344 - 3.76162i) q^{37} +(3.79597 - 0.00989724i) q^{38} +(-0.978338 + 4.87085i) q^{39} +(3.39810 - 3.45168i) q^{40} +(1.08807 - 0.450693i) q^{41} +(-1.62106 + 1.08489i) q^{42} +(1.84512 + 0.367016i) q^{43} +(-5.93358 + 8.98127i) q^{44} +(5.03500 + 1.02110i) q^{45} +(8.90374 + 5.91577i) q^{46} +(4.93192 - 4.93192i) q^{47} +(-2.59642 + 6.42329i) q^{48} +(4.50134 + 4.50134i) q^{49} +(0.577854 + 2.86600i) q^{50} +(3.39553 - 8.15440i) q^{51} +(-4.75321 + 3.21197i) q^{52} +(1.88555 - 9.47932i) q^{53} +(-7.21154 + 1.41199i) q^{54} +(3.52717 + 8.51534i) q^{55} +(-2.21245 - 0.422120i) q^{56} +(-0.915517 + 4.55808i) q^{57} +(-4.14348 - 4.12193i) q^{58} +(-2.08460 + 1.39288i) q^{59} +(3.31228 + 4.92145i) q^{60} +(-0.211398 - 1.06277i) q^{61} +(8.16510 - 5.48659i) q^{62} +(-0.905968 - 2.21053i) q^{63} +(-7.34224 + 3.17671i) q^{64} +4.91205i q^{65} +(-9.32905 - 9.31529i) q^{66} +(13.8689 - 2.75869i) q^{67} +(9.40272 - 3.95230i) q^{68} +(-9.27497 + 9.24037i) q^{69} +(-1.36015 + 1.36726i) q^{70} +(-4.58122 - 1.89760i) q^{71} +(-7.07445 - 4.68532i) q^{72} +(0.638643 - 0.264535i) q^{73} +(5.91734 + 2.43299i) q^{74} +(-3.58074 - 0.00669202i) q^{75} +(-4.44799 + 3.00572i) q^{76} +(2.38115 - 3.56365i) q^{77} +(-2.69352 - 6.48918i) q^{78} +(2.62297 - 2.62297i) q^{79} +(-1.26623 + 6.73195i) q^{80} +(0.0672794 - 8.99975i) q^{81} +(-0.921714 + 1.38726i) q^{82} +(1.68471 - 2.52135i) q^{83} +(1.04712 - 2.55210i) q^{84} +(1.70380 - 8.56559i) q^{85} +(-2.45533 + 1.02454i) q^{86} +(5.95915 - 3.96569i) q^{87} +(-0.119072 - 15.2226i) q^{88} +(-14.6543 - 6.06999i) q^{89} +(-6.71560 + 2.77280i) q^{90} +(1.89920 - 1.26900i) q^{91} +(-15.1175 + 0.0788324i) q^{92} +(4.58981 + 11.1396i) q^{93} +(-1.89911 + 9.67928i) q^{94} +4.59663i q^{95} +(-2.01868 - 9.58775i) q^{96} -0.149313i q^{97} +(-8.83425 - 1.73331i) q^{98} +(13.4587 - 8.92026i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28}+ \cdots - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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