LMFDB - Embedded newform 300.2.w.a.223.28

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [300,2,Mod(67,300)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(300, base_ring=CyclotomicField(20)) chi = DirichletCharacter(H, H._module([10, 0, 13])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("300.67"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			223.28
Character	$\chi$	$=$	300.223
Dual form			300.2.w.a.187.28

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.36565 - 0.367425i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(1.73000 - 1.00355i) q^{4} +(1.83777 + 1.27382i) q^{5} +(-0.947370 - 1.05000i) q^{6} +(-0.338407 - 0.338407i) q^{7} +(1.99384 - 2.00614i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(2.97778 + 1.06435i) q^{10} +(-0.00542328 - 0.00746451i) q^{11} +(-1.67957 - 1.08584i) q^{12} +(0.444902 + 2.80900i) q^{13} +(-0.586484 - 0.337806i) q^{14} +(0.300652 - 2.21576i) q^{15} +(1.98578 - 3.47227i) q^{16} +(-3.79071 - 1.93146i) q^{17} +(-0.505455 + 1.32080i) q^{18} +(-2.23243 - 6.87071i) q^{19} +(4.45767 + 0.359416i) q^{20} +(-0.147889 + 0.455156i) q^{21} +(-0.0101489 - 0.00820125i) q^{22} +(-0.917368 + 5.79204i) q^{23} +(-2.69267 - 0.865757i) q^{24} +(1.75477 + 4.68196i) q^{25} +(1.63968 + 3.67265i) q^{26} +(0.987688 + 0.156434i) q^{27} +(-0.925050 - 0.245835i) q^{28} +(3.22482 + 1.04781i) q^{29} +(-0.403542 - 3.13642i) q^{30} +(-4.34142 + 1.41061i) q^{31} +(1.43608 - 5.47153i) q^{32} +(-0.00418881 + 0.00822099i) q^{33} +(-5.88645 - 1.24490i) q^{34} +(-0.190844 - 1.05298i) q^{35} +(-0.204979 + 1.98947i) q^{36} +(-6.42204 + 1.01715i) q^{37} +(-5.57319 - 8.56273i) q^{38} +(2.30086 - 1.67167i) q^{39} +(6.21967 - 1.14702i) q^{40} +(5.70832 + 4.14734i) q^{41} +(-0.0347289 + 0.675922i) q^{42} +(-6.48875 + 6.48875i) q^{43} +(-0.0168733 - 0.00747105i) q^{44} +(-2.11075 + 0.738052i) q^{45} +(0.875337 + 8.24696i) q^{46} +(3.91751 - 1.99607i) q^{47} +(-3.99534 - 0.192966i) q^{48} -6.77096i q^{49} +(4.11667 + 5.74917i) q^{50} +4.25442i q^{51} +(3.58865 + 4.41309i) q^{52} +(-0.604811 + 0.308167i) q^{53} +(1.40631 - 0.149267i) q^{54} +(-0.000458296 - 0.0206263i) q^{55} +(-1.35362 + 0.00416215i) q^{56} +(-5.10835 + 5.10835i) q^{57} +(4.78896 + 0.246057i) q^{58} +(2.04303 + 1.48435i) q^{59} +(-1.70350 - 4.13498i) q^{60} +(-7.27946 + 5.28884i) q^{61} +(-5.41056 + 3.52155i) q^{62} +(0.472687 - 0.0748663i) q^{63} +(-0.0491968 - 7.99985i) q^{64} +(-2.76053 + 5.72902i) q^{65} +(-0.00269984 + 0.0127661i) q^{66} +(-4.59556 + 9.01929i) q^{67} +(-8.49624 + 0.462735i) q^{68} +(5.57722 - 1.81215i) q^{69} +(-0.647517 - 1.36788i) q^{70} +(6.68849 + 2.17322i) q^{71} +(0.451051 + 2.79223i) q^{72} +(2.91467 + 0.461638i) q^{73} +(-8.39652 + 3.74869i) q^{74} +(3.37501 - 3.68908i) q^{75} +(-10.7572 - 9.64596i) q^{76} +(-0.000690764 + 0.00436131i) q^{77} +(2.52795 - 3.12831i) q^{78} +(-0.730993 + 2.24976i) q^{79} +(8.07245 - 3.85170i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(9.31941 + 3.56643i) q^{82} +(3.36914 + 1.71666i) q^{83} +(0.200923 + 0.935832i) q^{84} +(-4.50611 - 8.37826i) q^{85} +(-6.47723 + 11.2455i) q^{86} +(-0.530434 - 3.34903i) q^{87} +(-0.0257880 - 0.00400318i) q^{88} +(-9.05282 - 12.4601i) q^{89} +(-2.61137 + 1.78346i) q^{90} +(0.800028 - 1.10114i) q^{91} +(4.22554 + 10.9408i) q^{92} +(3.22783 + 3.22783i) q^{93} +(4.61654 - 4.16533i) q^{94} +(4.64936 - 15.4705i) q^{95} +(-5.52714 + 1.20447i) q^{96} +(-8.12690 - 15.9499i) q^{97} +(-2.48782 - 9.24676i) q^{98} +0.00922664 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44}+ \cdots + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{11}{20}\right)$

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 $

$2$	1.36565	−	0.367425i	0.965660	−	0.259809i
$2$	1.36565	−	0.367425i	0.965660	−	0.259809i
$3$	−0.453990	−	0.891007i	−0.262112	−	0.514423i
$3$	−0.453990	−	0.891007i	−0.262112	−	0.514423i
$4$	1.73000	−	1.00355i	0.864999	−	0.501774i
$5$	1.83777	+	1.27382i	0.821874	+	0.569669i
$5$	1.83777	+	1.27382i	0.821874	+	0.569669i
$6$	−0.947370	−	1.05000i	−0.386762	−	0.428659i
$7$	−0.338407	−	0.338407i	−0.127906	−	0.127906i	0.640256	−	0.768162i	$-0.278828\pi$
$7$	−0.338407	−	0.338407i	−0.127906	−	0.127906i	−0.768162	+	0.640256i	$0.778828\pi$
$8$	1.99384	−	2.00614i	0.704929	−	0.709278i
$9$	−0.587785	+	0.809017i	−0.195928	+	0.269672i
$10$	2.97778	+	1.06435i	0.941656	+	0.336576i
$11$	−0.00542328	−	0.00746451i	−0.00163518	−	0.00225063i	0.808199	−	0.588910i	$-0.200443\pi$
$11$	−0.00542328	−	0.00746451i	−0.00163518	−	0.00225063i	−0.809834	+	0.586659i	$0.800443\pi$
$12$	−1.67957	−	1.08584i	−0.484850	−	0.313454i
$13$	0.444902	+	2.80900i	0.123394	+	0.779077i	0.969324	+	0.245785i	$0.0790456\pi$
$13$	0.444902	+	2.80900i	0.123394	+	0.779077i	−0.845931	+	0.533293i	$0.820954\pi$
$14$	−0.586484	−	0.337806i	−0.156744	−	0.0902824i
$15$	0.300652	−	2.21576i	0.0776281	−	0.572108i
$16$	1.98578	−	3.47227i	0.496445	−	0.868068i
$17$	−3.79071	−	1.93146i	−0.919383	−	0.468449i	−0.0707875	−	0.997491i	$-0.522551\pi$
$17$	−3.79071	−	1.93146i	−0.919383	−	0.468449i	−0.848595	+	0.529042i	$0.822551\pi$
$18$	−0.505455	+	1.32080i	−0.119137	+	0.311316i
$19$	−2.23243	−	6.87071i	−0.512154	−	1.57625i	−0.788400	−	0.615162i	$-0.789090\pi$
$19$	−2.23243	−	6.87071i	−0.512154	−	1.57625i	0.276246	−	0.961087i	$-0.410910\pi$
$20$	4.45767	+	0.359416i	0.996765	+	0.0803678i
$21$	−0.147889	+	0.455156i	−0.0322721	+	0.0993232i
$22$	−0.0101489	−	0.00820125i	−0.00216376	−	0.00174851i
$23$	−0.917368	+	5.79204i	−0.191285	+	1.20772i	0.685946	+	0.727653i	$0.259389\pi$
$23$	−0.917368	+	5.79204i	−0.191285	+	1.20772i	−0.877230	+	0.480070i	$0.840611\pi$
$24$	−2.69267	−	0.865757i	−0.549639	−	0.176722i
$25$	1.75477	+	4.68196i	0.350954	+	0.936393i
$26$	1.63968	+	3.67265i	0.321568	+	0.720265i
$27$	0.987688	+	0.156434i	0.190081	+	0.0301058i
$28$	−0.925050	−	0.245835i	−0.174818	−	0.0464585i
$29$	3.22482	+	1.04781i	0.598834	+	0.194573i	0.592720	−	0.805409i	$-0.298054\pi$
$29$	3.22482	+	1.04781i	0.598834	+	0.194573i	0.00611340	+	0.999981i	$0.498054\pi$
$30$	−0.403542	−	3.13642i	−0.0736763	−	0.572630i
$31$	−4.34142	+	1.41061i	−0.779742	+	0.253353i	−0.671730	−	0.740796i	$-0.734448\pi$
$31$	−4.34142	+	1.41061i	−0.779742	+	0.253353i	−0.108012	+	0.994150i	$0.534448\pi$
$32$	1.43608	−	5.47153i	0.253866	−	0.967240i
$33$	−0.00418881	+	0.00822099i	−0.000729177	+	0.00143109i
$34$	−5.88645	−	1.24490i	−1.00952	−	0.213499i
$35$	−0.190844	−	1.05298i	−0.0322585	−	0.177986i
$36$	−0.204979	+	1.98947i	−0.0341632	+	0.331578i
$37$	−6.42204	+	1.01715i	−1.05578	+	0.167219i	−0.660105	−	0.751174i	$-0.729488\pi$
$37$	−6.42204	+	1.01715i	−1.05578	+	0.167219i	−0.395671	+	0.918392i	$0.629488\pi$
$38$	−5.57319	−	8.56273i	−0.904091	−	1.38906i
$39$	2.30086	−	1.67167i	0.368432	−	0.267682i
$40$	6.21967	−	1.14702i	0.983417	−	0.181361i
$41$	5.70832	+	4.14734i	0.891490	+	0.647706i	0.936266	−	0.351291i	$-0.114257\pi$
$41$	5.70832	+	4.14734i	0.891490	+	0.647706i	−0.0447759	+	0.998997i	$0.514257\pi$
$42$	−0.0347289	+	0.675922i	−0.00535879	+	0.104297i
$43$	−6.48875	+	6.48875i	−0.989526	+	0.989526i	−0.999946	−	0.0104199i	$-0.996683\pi$
$43$	−6.48875	+	6.48875i	−0.989526	+	0.989526i	0.0104199	+	0.999946i	$0.496683\pi$
$44$	−0.0168733	−	0.00747105i	−0.00254374	−	0.00112630i
$45$	−2.11075	+	0.738052i	−0.314652	+	0.110022i
$46$	0.875337	+	8.24696i	0.129061	+	1.21595i
$47$	3.91751	−	1.99607i	0.571428	−	0.291157i	−0.144303	−	0.989534i	$-0.546094\pi$
$47$	3.91751	−	1.99607i	0.571428	−	0.291157i	0.715731	+	0.698376i	$0.246094\pi$
$48$	−3.99534	−	0.192966i	−0.576678	−	0.0278522i
$49$		−	6.77096i		−	0.967280i
$50$	4.11667	+	5.74917i	0.582186	+	0.813056i
$51$			4.25442i			0.595737i
$52$	3.58865	+	4.41309i	0.497656	+	0.611985i
$53$	−0.604811	+	0.308167i	−0.0830772	+	0.0423299i	−0.495035	−	0.868873i	$-0.664845\pi$
$53$	−0.604811	+	0.308167i	−0.0830772	+	0.0423299i	0.411958	+	0.911203i	$0.364845\pi$
$54$	1.40631	−	0.149267i	0.191375	−	0.0203127i
$55$	−0.000458296	−	0.0206263i	−6.17966e−5	−	0.00278125i
$56$	−1.35362	+	0.00416215i	−0.180885	+	0.000556191i
$57$	−5.10835	+	5.10835i	−0.676617	+	0.676617i
$58$	4.78896	+	0.246057i	0.628821	+	0.0323089i
$59$	2.04303	+	1.48435i	0.265979	+	0.193245i	0.712779	−	0.701389i	$-0.247436\pi$
$59$	2.04303	+	1.48435i	0.265979	+	0.193245i	−0.446800	+	0.894634i	$0.647436\pi$
$60$	−1.70350	−	4.13498i	−0.219921	−	0.533824i
$61$	−7.27946	+	5.28884i	−0.932039	+	0.677166i	−0.946491	−	0.322730i	$-0.895400\pi$
$61$	−7.27946	+	5.28884i	−0.932039	+	0.677166i	0.0144522	+	0.999896i	$0.495400\pi$
$62$	−5.41056	+	3.52155i	−0.687142	+	0.447237i
$63$	0.472687	−	0.0748663i	0.0595530	−	0.00943227i
$64$	−0.0491968	−	7.99985i	−0.00614960	−	0.999981i
$65$	−2.76053	+	5.72902i	−0.342402	+	0.710597i
$66$	−0.00269984	+	0.0127661i	−0.000332327	+	0.00157139i
$67$	−4.59556	+	9.01929i	−0.561437	+	1.10188i	0.419537	+	0.907738i	$0.362193\pi$
$67$	−4.59556	+	9.01929i	−0.561437	+	1.10188i	−0.980973	+	0.194143i	$0.937807\pi$
$68$	−8.49624	+	0.462735i	−1.03032	+	0.0561149i
$69$	5.57722	−	1.81215i	0.671418	−	0.218157i
$70$	−0.647517	−	1.36788i	−0.0773931	−	0.163493i
$71$	6.68849	+	2.17322i	0.793777	+	0.257914i	0.677712	−	0.735328i	$-0.262972\pi$
$71$	6.68849	+	2.17322i	0.793777	+	0.257914i	0.116066	+	0.993242i	$0.462972\pi$
$72$	0.451051	+	2.79223i	0.0531569	+	0.329068i
$73$	2.91467	+	0.461638i	0.341136	+	0.0540306i	0.324652	−	0.945834i	$-0.394753\pi$
$73$	2.91467	+	0.461638i	0.341136	+	0.0540306i	0.0164838	+	0.999864i	$0.494753\pi$
$74$	−8.39652	+	3.74869i	−0.976076	+	0.435776i
$75$	3.37501	−	3.68908i	0.389713	−	0.425978i
$76$	−10.7572	−	9.64596i	−1.23393	−	1.10647i
$77$	−0.000690764		0.00436131i	−7.87199e−5		0.000497018i
$78$	2.52795	−	3.12831i	0.286234	−	0.354212i
$79$	−0.730993	+	2.24976i	−0.0822431	+	0.253118i	−0.983720	−	0.179710i	$-0.942484\pi$
$79$	−0.730993	+	2.24976i	−0.0822431	+	0.253118i	0.901477	+	0.432828i	$0.142484\pi$
$80$	8.07245	−	3.85170i	0.902527	−	0.430633i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	9.31941	+	3.56643i	1.02916	+	0.393846i
$83$	3.36914	+	1.71666i	0.369811	+	0.188428i	0.629013	−	0.777395i	$-0.283459\pi$
$83$	3.36914	+	1.71666i	0.369811	+	0.188428i	−0.259201	+	0.965823i	$0.583459\pi$
$84$	0.200923	+	0.935832i	0.0219225	+	0.102108i
$85$	−4.50611	−	8.37826i	−0.488756	−	0.908750i
$86$	−6.47723	+	11.2455i	−0.698458	+	1.21263i
$87$	−0.530434	−	3.34903i	−0.0568685	−	0.359053i
$88$	−0.0257880	−	0.00400318i	−0.00274901	−	0.000426740i
$89$	−9.05282	−	12.4601i	−0.959597	−	1.32077i	−0.947130	−	0.320850i	$-0.896031\pi$
$89$	−9.05282	−	12.4601i	−0.959597	−	1.32077i	−0.0124672	−	0.999922i	$-0.503969\pi$
$90$	−2.61137	+	1.78346i	−0.275263	+	0.187994i
$91$	0.800028	−	1.10114i	0.0838657	−	0.115431i
$92$	4.22554	+	10.9408i	0.440543	+	1.14066i
$93$	3.22783	+	3.22783i	0.334710	+	0.334710i
$94$	4.61654	−	4.16533i	0.476160	−	0.429621i
$95$	4.64936	−	15.4705i	0.477014	−	1.58724i
$96$	−5.52714	+	1.20447i	−0.564111	+	0.122930i
$97$	−8.12690	−	15.9499i	−0.825162	−	1.61947i	−0.784362	−	0.620304i	$-0.787009\pi$
$97$	−8.12690	−	15.9499i	−0.825162	−	1.61947i	−0.0407999	−	0.999167i	$-0.512991\pi$
$98$	−2.48782	−	9.24676i	−0.251308	−	0.934064i
$99$	0.00922664			0.000927312
$100$	7.73433	+	6.33879i	0.773433	+	0.633879i
$101$	18.2367			1.81462			0.907310	−	0.420462i	$-0.138132\pi$
$101$	18.2367			1.81462			0.907310	+	0.420462i	$0.138132\pi$
$102$	1.56318	+	5.81004i	0.154778	+	0.575280i
$103$	−4.91489	−	9.64602i	−0.484279	−	0.950451i	−0.995833	−	0.0911996i	$-0.970930\pi$
$103$	−4.91489	−	9.64602i	−0.484279	−	0.950451i	0.511554	−	0.859251i	$-0.329070\pi$
$104$	6.52232	+	4.70817i	0.639566	+	0.461674i
$105$	−0.851572	+	0.648086i	−0.0831049	+	0.0632468i
$106$	−0.712731	+	0.643070i	−0.0692266	+	0.0624605i
$107$	3.97407	+	3.97407i	0.384188	+	0.384188i	0.872608	−	0.488421i	$-0.162427\pi$
$107$	3.97407	+	3.97407i	0.384188	+	0.384188i	−0.488421	+	0.872608i	$0.662427\pi$
$108$	1.86569	−	0.720562i	0.179526	−	0.0693361i
$109$	9.21485	−	12.6831i	0.882622	−	1.21483i	−0.0930657	−	0.995660i	$-0.529667\pi$
$109$	9.21485	−	12.6831i	0.882622	−	1.21483i	0.975688	−	0.219165i	$-0.0703333\pi$
$110$	−0.00820449	−	0.0279999i	−0.000782268	−	0.00266969i
$111$	3.82183	+	5.26030i	0.362752	+	0.499285i
$112$	−1.84704	+	0.503038i	−0.174529	+	0.0475327i
$113$	−0.776105	−	4.90013i	−0.0730098	−	0.460966i	−0.996925	−	0.0783672i	$-0.975029\pi$
$113$	−0.776105	−	4.90013i	−0.0730098	−	0.460966i	0.923915	−	0.382598i	$-0.124971\pi$
$114$	−5.09928	+	8.85315i	−0.477591	+	0.829173i
$115$	−9.06391	+	9.47585i	−0.845214	+	0.883627i
$116$	6.63045	−	1.42356i	0.615622	−	0.132174i
$117$	−2.53404	−	1.29116i	−0.234272	−	0.119368i
$118$	3.33544	+	1.27644i	0.307052	+	0.117505i
$119$	0.629182	+	1.93642i	0.0576770	+	0.177512i
$120$	−3.84568	−	5.02103i	−0.351061	−	0.458355i
$121$	3.39916	−	10.4615i	0.309015	−	0.951049i
$122$	−7.99794	+	9.89735i	−0.724099	+	0.896064i
$123$	1.10378	−	6.96901i	0.0995247	−	0.628374i
$124$	−6.09502	+	6.79718i	−0.547349	+	0.610405i
$125$	−2.73911	+	10.8396i	−0.244994	+	0.969525i
$126$	0.618017	−	0.275918i	0.0550574	−	0.0245808i
$127$	3.89805	+	0.617390i	0.345896	+	0.0547845i	0.326965	−	0.945036i	$-0.393974\pi$
$127$	3.89805	+	0.617390i	0.345896	+	0.0547845i	0.0189303	+	0.999821i	$0.493974\pi$
$128$	−3.00653	−	10.9069i	−0.265742	−	0.964044i
$129$	8.72736	+	2.83569i	0.768401	+	0.249669i
$130$	−1.66494	+	8.83812i	−0.146025	+	0.775154i
$131$	−4.49851	+	1.46166i	−0.393037	+	0.127705i	−0.498866	−	0.866679i	$-0.666250\pi$
$131$	−4.49851	+	1.46166i	−0.393037	+	0.127705i	0.105830	+	0.994384i	$0.466250\pi$
$132$	0.00100354	+	0.0184260i	8.73472e−5	+	0.00160377i
$133$	−1.56963	+	3.08056i	−0.136104	+	0.267119i
$134$	−2.96201	+	14.0057i	−0.255878	+	1.20991i
$135$	1.61587	+	1.54563i	0.139072	+	0.133026i
$136$	−11.4329	+	3.75367i	−0.980360	+	0.321874i
$137$	2.52679	−	0.400204i	0.215878	−	0.0341917i	−0.0475584	−	0.998868i	$-0.515144\pi$
$137$	2.52679	−	0.400204i	0.215878	−	0.0341917i	0.263437	+	0.964677i	$0.415144\pi$
$138$	6.95070	−	4.52397i	0.591683	−	0.385106i
$139$	9.10494	−	6.61513i	0.772271	−	0.561088i	−0.130378	−	0.991464i	$-0.541619\pi$
$139$	9.10494	−	6.61513i	0.772271	−	0.561088i	0.902649	+	0.430377i	$0.141619\pi$
$140$	−1.38688	−	1.63013i	−0.117212	−	0.137771i
$141$	−3.55703	−	2.58433i	−0.299556	−	0.217640i
$142$	9.93262	+	0.510339i	0.833527	+	0.0428267i
$143$	0.0185550	−	0.0185550i	0.00155165	−	0.00155165i
$144$	1.64191	+	3.64748i	0.136826	+	0.303957i
$145$	4.59174	+	6.03346i	0.381324	+	0.501051i
$146$	4.15003	−	0.440487i	0.343459	−	0.0364549i
$147$	−6.03297	+	3.07395i	−0.497591	+	0.253535i
$148$	−10.0893	+	8.20449i	−0.829339	+	0.674405i
$149$			1.04684i			0.0857604i	0.999080	+	0.0428802i	$0.0136534\pi$
$149$			1.04684i			0.0857604i	−0.999080	+	0.0428802i	$0.986347\pi$
$150$	3.25362	−	6.27805i	0.265657	−	0.512601i
$151$		−	2.66118i		−	0.216564i	−0.994120	−	0.108282i	$-0.965465\pi$
$151$		−	2.66118i		−	0.216564i	0.994120	−	0.108282i	$-0.0345349\pi$
$152$	−18.2347	−	9.22054i	−1.47903	−	0.747885i
$153$	3.79071	−	1.93146i	0.306461	−	0.156150i
$154$	0.000659115		0.00620983i	5.31130e−5		0.000500402i
$155$	−9.77538	−	2.93780i	−0.785177	−	0.235970i
$156$	2.30288	−	5.20101i	0.184378	−	0.416414i
$157$	3.72092	−	3.72092i	0.296962	−	0.296962i	−0.542861	−	0.839823i	$-0.682659\pi$
$157$	3.72092	−	3.72092i	0.296962	−	0.296962i	0.839823	+	0.542861i	$0.182659\pi$
$158$	−0.171660	+	3.34098i	−0.0136565	+	0.265794i
$159$	0.549157	+	0.398986i	0.0435510	+	0.0316416i
$160$	9.60892	−	8.22609i	0.759652	−	0.650330i
$161$	2.27051	−	1.64962i	0.178941	−	0.130008i
$162$	−0.771451	−	1.18527i	−0.0606109	−	0.0931235i
$163$	−18.2514	+	2.89074i	−1.42956	+	0.226420i	−0.822740	−	0.568418i	$-0.807556\pi$
$163$	−18.2514	+	2.89074i	−1.42956	+	0.226420i	−0.606821	+	0.794838i	$0.707556\pi$
$164$	14.0374	+	1.44631i	1.09614	+	0.112938i
$165$	−0.0181701	+	0.00977249i	−0.00141454	+	0.000760787i
$166$	5.23181	+	1.10645i	0.406068	+	0.0858774i
$167$	9.01487	−	17.6927i	0.697592	−	1.36910i	−0.221540	−	0.975151i	$-0.571108\pi$
$167$	9.01487	−	17.6927i	0.697592	−	1.36910i	0.919132	−	0.393950i	$-0.128892\pi$
$168$	0.618239	+	1.20419i	0.0476982	+	0.0929057i
$169$	4.67117	−	1.51776i	0.359321	−	0.116750i
$170$	−9.23215	−	9.78611i	−0.708074	−	0.750560i
$171$	6.87071	+	2.23243i	0.525416	+	0.170718i
$172$	−4.71375	+	17.7373i	−0.359420	+	1.35246i
$173$	−5.74053	−	0.909210i	−0.436444	−	0.0691260i	−0.0656537	−	0.997842i	$-0.520913\pi$
$173$	−5.74053	−	0.909210i	−0.436444	−	0.0691260i	−0.370791	+	0.928716i	$0.620913\pi$
$174$	−1.95490	−	4.37870i	−0.148201	−	0.331949i
$175$	0.990581	−	2.17823i	0.0748809	−	0.164659i
$176$	−0.0366882	+	0.00400823i	−0.00276548	+	0.000302132i
$177$	0.395047	−	2.49423i	0.0296935	−	0.187478i
$178$	−16.9412	−	13.6899i	−1.26979	−	1.02611i
$179$	−7.03355	+	21.6470i	−0.525712	+	1.61798i	0.237190	+	0.971463i	$0.423774\pi$
$179$	−7.03355	+	21.6470i	−0.525712	+	1.61798i	−0.762903	+	0.646513i	$0.776226\pi$
$180$	−2.91093	+	3.39507i	−0.216968	+	0.253054i
$181$	1.43751	+	4.42421i	0.106849	+	0.328849i	0.990160	−	0.139939i	$-0.0446908\pi$
$181$	1.43751	+	4.42421i	0.106849	+	0.328849i	−0.883311	+	0.468788i	$0.844691\pi$
$182$	0.687969	−	1.79773i	0.0509957	−	0.133256i
$183$	8.01719	+	4.08496i	0.592648	+	0.301969i
$184$	9.79055	+	13.3888i	0.721769	+	0.987033i
$185$	−13.0979	−	6.31122i	−0.962974	−	0.464010i
$186$	5.59407	+	3.22210i	0.410177	+	0.236256i
$187$	0.00614067	+	0.0387707i	0.000449050	+	0.00283519i
$188$	4.77413	−	7.38461i	0.348189	−	0.538578i
$189$	−0.281302	−	0.387179i	−0.0204617	−	0.0281631i
$190$	0.665150	−	22.8355i	0.0482550	−	1.65666i
$191$	13.5285	−	18.6203i	0.978885	−	1.34732i	0.0414563	−	0.999140i	$-0.486800\pi$
$191$	13.5285	−	18.6203i	0.978885	−	1.34732i	0.937428	−	0.348179i	$-0.113200\pi$
$192$	−7.10558	+	3.67569i	−0.512801	+	0.265270i
$193$	16.4997	+	16.4997i	1.18767	+	1.18767i	0.977709	+	0.209964i	$0.0673347\pi$
$193$	16.4997	+	16.4997i	1.18767	+	1.18767i	0.209964	+	0.977709i	$0.432665\pi$
$194$	−16.9589	−	18.7960i	−1.21758	−	1.34947i
$195$	6.35785	−	0.141265i	0.455295	−	0.0101162i
$196$	−6.79499	−	11.7137i	−0.485356	−	0.836696i
$197$	−3.30435	−	6.48515i	−0.235425	−	0.462048i	0.742823	−	0.669488i	$-0.233487\pi$
$197$	−3.30435	−	6.48515i	−0.235425	−	0.462048i	−0.978248	+	0.207441i	$0.933487\pi$
$198$	0.0126004	−	0.00339010i	0.000895468	−	0.000240924i
$199$	18.5916			1.31793			0.658963	−	0.752175i	$-0.270995\pi$
$199$	18.5916			1.31793			0.658963	+	0.752175i	$0.270995\pi$
$200$	12.8914	+	5.81477i	0.911560	+	0.411167i
$201$	10.1226			0.713992
$202$	24.9050	−	6.70063i	1.75231	−	0.471455i
$203$	−0.736715	−	1.44588i	−0.0517072	−	0.101481i
$204$	4.26951	+	7.36013i	0.298926	+	0.515312i
$205$	5.20761	+	14.8932i	0.363715	+	1.04019i
$206$	−10.2562	−	11.3672i	−0.714584	−	0.791992i
$207$	−4.14664	−	4.14664i	−0.288211	−	0.288211i
$208$	10.6371	+	4.03324i	0.737550	+	0.279655i
$209$	−0.0391794	+	0.0539258i	−0.00271009	+	0.00373012i
$210$	−0.924825	+	1.19795i	−0.0638190	+	0.0826663i
$211$	14.5423	+	20.0157i	1.00113	+	1.37794i	0.924629	+	0.380869i	$0.124375\pi$
$211$	14.5423	+	20.0157i	1.00113	+	1.37794i	0.0765018	+	0.997069i	$0.475625\pi$
$212$	−0.737061	+	1.14008i	−0.0506216	+	0.0783013i
$213$	−1.10016	−	6.94611i	−0.0753814	−	0.475939i
$214$	6.88736	+	3.96701i	0.470810	+	0.271179i
$215$	−20.1903	+	3.65932i	−1.37697	+	0.249563i
$216$	2.28312	−	1.66954i	0.155347	−	0.113598i
$217$	1.94653	+	0.991804i	0.132139	+	0.0673281i
$218$	7.92414	−	20.7065i	0.536690	−	1.40242i
$219$	−0.911908	−	2.80656i	−0.0616210	−	0.189650i
$220$	−0.0214923	−	0.0352235i	−0.00144901	−	0.00237477i
$221$	3.73899	−	11.5074i	0.251512	−	0.774074i
$222$	7.15205	+	5.77949i	0.480014	+	0.387894i
$223$	1.09479	−	6.91226i	0.0733129	−	0.462879i	−0.923533	−	0.383519i	$-0.874712\pi$
$223$	1.09479	−	6.91226i	0.0733129	−	0.462879i	0.996846	−	0.0793606i	$-0.0252879\pi$
$224$	−2.33758	+	1.36562i	−0.156186	+	0.0912446i
$225$	−4.81922	−	1.33235i	−0.321281	−	0.0888233i
$226$	−2.86032	−	6.40670i	−0.190266	−	0.426167i
$227$	−14.5565	−	2.30553i	−0.966151	−	0.153023i	−0.346629	−	0.938002i	$-0.612674\pi$
$227$	−14.5565	−	2.30553i	−0.966151	−	0.153023i	−0.619522	+	0.784979i	$0.712674\pi$
$228$	−3.71095	+	13.9639i	−0.245764	+	0.924782i
$229$	−25.5635	−	8.30610i	−1.68929	−	0.548882i	−0.702610	−	0.711575i	$-0.747982\pi$
$229$	−25.5635	−	8.30610i	−1.68929	−	0.548882i	−0.986677	+	0.162693i	$0.947982\pi$
$230$	−8.89646	+	16.2710i	−0.586615	+	1.07288i
$231$	0.00419956	−	0.00136452i	0.000276311	−	8.97788e-5i
$232$	8.53182	−	4.38028i	0.560141	−	0.287579i
$233$	−9.83267	+	19.2977i	−0.644160	+	1.26423i	0.305870	+	0.952073i	$0.401053\pi$
$233$	−9.83267	+	19.2977i	−0.644160	+	1.26423i	−0.950029	+	0.312161i	$0.898947\pi$
$234$	−3.93501	−	0.832198i	−0.257240	−	0.0544025i
$235$	9.74211	+	1.32189i	0.635505	+	0.0862304i
$236$	5.02404	+	0.517638i	0.327037	+	0.0336954i
$237$	2.33642	−	0.370052i	0.151767	−	0.0240375i
$238$	1.57073	+	2.41330i	0.101815	+	0.156431i
$239$	−8.98000	+	6.52436i	−0.580868	+	0.422025i	−0.839037	−	0.544074i	$-0.816881\pi$
$239$	−8.98000	+	6.52436i	−0.580868	+	0.422025i	0.258169	+	0.966100i	$0.416881\pi$
$240$	−7.09670	−	5.44397i	−0.458090	−	0.351407i
$241$	1.02024	+	0.741251i	0.0657197	+	0.0477481i	0.620160	−	0.784475i	$-0.287068\pi$
$241$	1.02024	+	0.741251i	0.0657197	+	0.0477481i	−0.554440	+	0.832223i	$0.687068\pi$
$242$	0.798227	−	15.5357i	0.0513120	−	0.998675i
$243$	−0.707107	+	0.707107i	−0.0453609	+	0.0453609i
$244$	−7.28584	+	16.4550i	−0.466428	+	1.05342i
$245$	8.62498	−	12.4434i	0.551030	−	0.794983i
$246$	−1.05321	−	9.92278i	−0.0671502	−	0.632653i
$247$	18.3066	−	9.32770i	1.16482	−	0.593507i
$248$	−5.82621	+	11.5220i	−0.369965	+	0.731650i
$249$		−	3.78128i		−	0.239629i
$250$	0.242080	+	15.8095i	0.0153105	+	0.999883i
$251$			1.61115i			0.101695i	0.998706	+	0.0508475i	$0.0161923\pi$
$251$			1.61115i			0.101695i	−0.998706	+	0.0508475i	$0.983808\pi$
$252$	0.742616	−	0.603883i	0.0467804	−	0.0380411i
$253$	0.0482098	−	0.0245641i	0.00303093	−	0.00154433i
$254$	5.55021	−	0.589103i	0.348251	−	0.0369636i
$255$	−5.41936	+	7.81862i	−0.339373	+	0.489621i
$256$	−8.11335	−	13.7903i	−0.507084	−	0.861897i
$257$	−21.7848	+	21.7848i	−1.35890	+	1.35890i	−0.483624	+	0.875276i	$0.660680\pi$
$257$	−21.7848	+	21.7848i	−1.35890	+	1.35890i	−0.875276	+	0.483624i	$0.839320\pi$
$258$	12.9604	+	0.665907i	0.806880	+	0.0414576i
$259$	2.51747	+	1.82905i	0.156428	+	0.113652i
$260$	0.973629	+	12.6815i	0.0603819	+	0.786474i
$261$	−2.74319	+	1.99305i	−0.169799	+	0.123366i
$262$	−5.60634	+	3.64898i	−0.346361	+	0.225434i
$263$	17.8870	−	2.83302i	1.10296	−	0.174691i	0.421700	−	0.906735i	$-0.361433\pi$
$263$	17.8870	−	2.83302i	1.10296	−	0.174691i	0.681257	+	0.732044i	$0.261433\pi$
$264$	0.00814065	+	0.0247947i	0.000501023	+	0.00152601i
$265$	−1.50405	−	0.204081i	−0.0923930	−	0.0125366i
$266$	−1.01168	+	4.78369i	−0.0620302	+	0.293307i
$267$	−6.99217	+	13.7229i	−0.427914	+	0.839828i
$268$	1.10099	+	20.2152i	0.0672537	+	1.23484i
$269$	−4.11734	+	1.33780i	−0.251038	+	0.0815673i	−0.431833	−	0.901954i	$-0.642133\pi$
$269$	−4.11734	+	1.33780i	−0.251038	+	0.0815673i	0.180795	+	0.983521i	$0.442133\pi$
$270$	2.77462	+	1.51707i	0.168858	+	0.0923260i
$271$	−18.2185	−	5.91954i	−1.10669	−	0.359587i	−0.302019	−	0.953302i	$-0.597661\pi$
$271$	−18.2185	−	5.91954i	−1.10669	−	0.359587i	−0.804675	+	0.593715i	$0.797661\pi$
$272$	−14.2341	+	9.32692i	−0.863069	+	0.565528i
$273$	−1.34433	−	0.212921i	−0.0813626	−	0.0128866i
$274$	3.30366	−	1.47494i	0.199582	−	0.0891047i
$275$	0.0254319	−	0.0384901i	0.00153360	−	0.00232104i
$276$	7.83000	−	8.73202i	0.471310	−	0.525606i
$277$	−0.838827	+	5.29615i	−0.0504003	+	0.318215i	0.949589	+	0.313499i	$0.101501\pi$
$277$	−0.838827	+	5.29615i	−0.0504003	+	0.318215i	−0.999989	+	0.00471597i	$0.998499\pi$
$278$	10.0036	−	12.3793i	0.599976	−	0.742463i
$279$	1.41061	−	4.34142i	0.0844512	−	0.259914i
$280$	−2.49294	−	1.71662i	−0.148982	−	0.102588i
$281$	−0.313860	−	0.965962i	−0.0187233	−	0.0576245i	0.941258	−	0.337687i	$-0.109645\pi$
$281$	−0.313860	−	0.965962i	−0.0187233	−	0.0576245i	−0.959982	+	0.280063i	$0.909645\pi$
$282$	−5.80720	−	2.22235i	−0.345814	−	0.132339i
$283$	1.23867	+	0.631135i	0.0736314	+	0.0375171i	0.490418	−	0.871487i	$-0.336844\pi$
$283$	1.23867	+	0.631135i	0.0736314	+	0.0375171i	−0.416787	+	0.909004i	$0.636844\pi$
$284$	13.7520	−	2.95255i	0.816031	−	0.175202i
$285$	−15.8951	+	2.88084i	−0.941542	+	0.170646i
$286$	0.0185220	−	0.0321572i	0.00109523	−	0.00190149i
$287$	−0.528247	−	3.33522i	−0.0311814	−	0.196872i
$288$	3.58246	+	4.37790i	0.211098	+	0.257970i
$289$	0.646596	+	0.889963i	0.0380351	+	0.0523508i
$290$	8.48756	+	6.55246i	0.498407	+	0.384774i
$291$	−10.5220	+	14.4822i	−0.616808	+	0.848964i
$292$	5.50564	−	2.12638i	0.322193	−	0.124437i
$293$	7.08403	+	7.08403i	0.413853	+	0.413853i	0.883079	−	0.469225i	$-0.155467\pi$
$293$	7.08403	+	7.08403i	0.413853	+	0.413853i	−0.469225	+	0.883079i	$0.655467\pi$
$294$	−7.10948	+	6.41461i	−0.414633	+	0.374108i
$295$	1.86382	+	5.33033i	0.108516	+	0.310344i
$296$	−10.7640	+	14.9115i	−0.625643	+	0.866716i
$297$	−0.00418881	−	0.00822099i	−0.000243059	−	0.000477030i
$298$	0.384635	+	1.42961i	0.0222813	+	0.0828154i
$299$	−16.6780			−0.964513
$300$	2.13659	−	9.76908i	0.123356	−	0.564018i
$301$	4.39168			0.253132
$302$	−0.977784	−	3.63424i	−0.0562652	−	0.209127i
$303$	−8.27929	−	16.2490i	−0.475633	−	0.933482i
$304$	−28.2901	−	5.89213i	−1.62255	−	0.337937i
$305$	−20.1150	+	0.446934i	−1.15178	+	0.0255914i
$306$	4.46712	−	4.03051i	0.255368	−	0.230409i
$307$	−7.18265	−	7.18265i	−0.409935	−	0.409935i	0.471781	−	0.881716i	$-0.343611\pi$
$307$	−7.18265	−	7.18265i	−0.409935	−	0.409935i	−0.881716	+	0.471781i	$0.843611\pi$
$308$	0.00318177	+	0.00823827i	0.000181298	+	0.000469419i
$309$	−6.36335	+	8.75841i	−0.361999	+	0.498248i
$310$	−14.4292	−	0.420290i	−0.819521	−	0.0238709i
$311$	−13.8607	−	19.0776i	−0.785967	−	1.08179i	−0.994599	−	0.103797i	$-0.966901\pi$
$311$	−13.8607	−	19.0776i	−0.785967	−	1.08179i	0.208631	−	0.977994i	$-0.433099\pi$
$312$	1.23394	−	7.94889i	0.0698580	−	0.450017i
$313$	2.12973	+	13.4466i	0.120379	+	0.760045i	0.971843	+	0.235631i	$0.0757156\pi$
$313$	2.12973	+	13.4466i	0.120379	+	0.760045i	−0.851463	+	0.524414i	$0.824284\pi$
$314$	3.71432	−	6.44864i	0.209611	−	0.363918i
$315$	0.964055	+	0.464531i	0.0543183	+	0.0261734i
$316$	0.993132	+	4.62567i	0.0558680	+	0.260214i
$317$	15.3739	+	7.83338i	0.863483	+	0.439967i	0.828875	−	0.559434i	$-0.188982\pi$
$317$	15.3739	+	7.83338i	0.863483	+	0.439967i	0.0346084	+	0.999401i	$0.488982\pi$
$318$	0.896553	+	0.343101i	0.0502762	+	0.0192401i
$319$	−0.00966773	−	0.0297542i	−0.000541289	−	0.00166592i
$320$	10.0999	−	14.7645i	0.564604	−	0.825362i
$321$	1.73673	−	5.34511i	0.0969349	−	0.298335i
$322$	2.49461	−	3.08704i	0.139019	−	0.172034i
$323$	−4.80804	+	30.3568i	−0.267526	+	1.68909i
$324$	−1.48903	−	1.33521i	−0.0827239	−	0.0741784i
$325$	−12.3709	+	7.01217i	−0.686217	+	0.388965i
$326$	−23.8629	+	10.6538i	−1.32164	+	0.590058i
$327$	−15.4842	−	2.45246i	−0.856279	−	0.135621i
$328$	19.7016	−	3.18256i	1.08784	−	0.175728i
$329$	−2.00120	−	0.650228i	−0.110330	−	0.0358482i
$330$	−0.0212233	+	0.0200219i	−0.00116831	+	0.00110217i
$331$	−20.8211	+	6.76518i	−1.14443	+	0.371848i	−0.819042	−	0.573733i	$-0.805495\pi$
$331$	−20.8211	+	6.76518i	−1.14443	+	0.371848i	−0.325387	+	0.945581i	$0.605495\pi$
$332$	7.55136	−	0.411274i	0.414435	−	0.0225716i
$333$	2.95189	−	5.79340i	0.161762	−	0.317476i
$334$	5.81042	−	27.4743i	0.317932	−	1.50333i
$335$	−19.9345	+	10.7214i	−1.08914	+	0.585775i
$336$	1.28675	+	1.41735i	0.0701980	+	0.0773229i
$337$	31.0160	−	4.91245i	1.68955	−	0.267598i	0.763721	−	0.645547i	$-0.223371\pi$
$337$	31.0160	−	4.91245i	1.68955	−	0.267598i	0.925826	+	0.377949i	$0.123371\pi$
$338$	5.82152	−	3.78903i	0.316649	−	0.206096i
$339$	−4.01370	+	2.91613i	−0.217995	+	0.158382i
$340$	−16.2035	−	9.97227i	−0.878761	−	0.540822i
$341$	0.0340743	+	0.0247564i	0.00184522	+	0.00134063i
$342$	10.2032	+	0.524243i	0.551728	+	0.0283478i
$343$	−4.66019	+	4.66019i	−0.251626	+	0.251626i
$344$	0.0798069	+	25.9549i	0.00430290	+	1.39939i
$345$	12.5580	+	3.77406i	0.676099	+	0.203189i
$346$	−8.17362	+	0.867553i	−0.439416	+	0.0466399i
$347$	27.9531	−	14.2428i	1.50060	−	0.764594i	0.505440	−	0.862862i	$-0.331330\pi$
$347$	27.9531	−	14.2428i	1.50060	−	0.764594i	0.995160	+	0.0982679i	$0.0313302\pi$
$348$	−4.27856	−	5.26149i	−0.229355	−	0.282046i
$349$			32.7545i			1.75331i	0.481121	+	0.876654i	$0.340230\pi$
$349$			32.7545i			1.75331i	−0.481121	+	0.876654i	$0.659770\pi$
$350$	0.552449	−	3.33867i	0.0295296	−	0.178459i
$351$			2.84402i			0.151802i
$352$	−0.0486306	+	0.0189540i	−0.00259202	+	0.00101025i
$353$	11.6240	−	5.92270i	0.618680	−	0.315233i	−0.116411	−	0.993201i	$-0.537139\pi$
$353$	11.6240	−	5.92270i	0.618680	−	0.315233i	0.735092	+	0.677968i	$0.237139\pi$
$354$	−0.376947	−	3.55139i	−0.0200345	−	0.188754i
$355$	9.52358	+	12.5138i	0.505459	+	0.664163i
$356$	−28.1657	−	12.4711i	−1.49278	−	0.660965i
$357$	1.43972	−	1.43972i	0.0761982	−	0.0761982i
$358$	−1.65169	+	32.1466i	−0.0872948	+	1.69900i
$359$	9.36163	+	6.80162i	0.494088	+	0.358976i	0.806754	−	0.590887i	$-0.201222\pi$
$359$	9.36163	+	6.80162i	0.494088	+	0.358976i	−0.312666	+	0.949863i	$0.601222\pi$
$360$	−2.72787	+	5.70603i	−0.143771	+	0.300734i
$361$	−26.8516	+	19.5088i	−1.41324	+	1.02678i
$362$	3.58870	+	5.51374i	0.188618	+	0.289796i
$363$	−10.8645	+	1.72077i	−0.570238	+	0.0903168i
$364$	0.278995	−	2.70784i	0.0146233	−	0.141929i
$365$	4.76843	+	4.56114i	0.249591	+	0.238741i
$366$	12.4496	+	2.63291i	0.650751	+	0.137624i
$367$	3.05019	−	5.98633i	0.159219	−	0.312484i	−0.797591	−	0.603198i	$-0.793893\pi$
$367$	3.05019	−	5.98633i	0.159219	−	0.312484i	0.956810	+	0.290714i	$0.0938928\pi$
$368$	18.2898	+	14.6871i	0.953423	+	0.765616i
$369$	−6.71054	+	2.18039i	−0.349337	+	0.113506i
$370$	−20.2060	−	3.80643i	−1.05046	−	0.197887i
$371$	0.308958	+	0.100386i	0.0160403	+	0.00521180i
$372$	8.82341	+	2.34485i	0.457473	+	0.121575i
$373$	−7.76622	−	1.23005i	−0.402120	−	0.0636895i	−0.0479009	−	0.998852i	$-0.515253\pi$
$373$	−7.76622	−	1.23005i	−0.402120	−	0.0636895i	−0.354219	+	0.935163i	$0.615253\pi$
$374$	0.0226313	+	0.0506909i	0.00117024	+	0.00262116i
$375$	10.9017	−	2.48051i	0.562961	−	0.128093i
$376$	3.80650	−	11.8389i	0.196305	−	0.610546i
$377$	−1.50856	+	9.52469i	−0.0776950	+	0.490547i
$378$	−0.526419	−	0.425393i	−0.0270761	−	0.0218799i
$379$	5.05817	−	15.5675i	0.259821	−	0.799646i	−0.733021	−	0.680206i	$-0.761890\pi$
$379$	5.05817	−	15.5675i	0.259821	−	0.799646i	0.992841	−	0.119440i	$-0.0381099\pi$
$380$	−7.48199	−	31.4297i	−0.383818	−	1.61231i
$381$	−1.21958	−	3.75347i	−0.0624809	−	0.192296i
$382$	11.6335	−	30.3995i	0.595224	−	1.55537i
$383$	21.7577	+	11.0861i	1.11177	+	0.566473i	0.910685	−	0.413102i	$-0.135555\pi$
$383$	21.7577	+	11.0861i	1.11177	+	0.566473i	0.201081	+	0.979575i	$0.435555\pi$
$384$	−8.35319	+	7.63048i	−0.426272	+	0.389391i
$385$	−0.00682499	+	0.00713517i	−0.000347833	+	0.000363642i
$386$	28.5952	+	16.4704i	1.45546	+	0.838320i
$387$	−1.43552	−	9.06351i	−0.0729715	−	0.460724i
$388$	−30.0661	−	19.4376i	−1.52637	−	0.986795i
$389$	5.31656	+	7.31762i	0.269560	+	0.371018i	0.922241	−	0.386615i	$-0.126356\pi$
$389$	5.31656	+	7.31762i	0.269560	+	0.371018i	−0.652681	+	0.757633i	$0.726356\pi$
$390$	8.63069	−	2.52895i	0.437032	−	0.128059i
$391$	14.6646	−	20.1841i	0.741620	−	1.02075i
$392$	−13.5835	−	13.5002i	−0.686070	−	0.681864i
$393$	3.34463	+	3.34463i	0.168714	+	0.168714i
$394$	−6.89539	−	7.64234i	−0.347385	−	0.385016i
$395$	−4.20919	+	3.20339i	−0.211787	+	0.161180i
$396$	0.0159621	−	0.00925938i	0.000802124	−	0.000465301i
$397$	−6.40609	−	12.5727i	−0.321512	−	0.631004i	0.672521	−	0.740078i	$-0.265211\pi$
$397$	−6.40609	−	12.5727i	−0.321512	−	0.631004i	−0.994034	+	0.109074i	$0.965211\pi$
$398$	25.3897	−	6.83104i	1.27267	−	0.342409i
$399$	3.45740			0.173086
$400$	19.7416	+	3.20431i	0.987082	+	0.160216i
$401$	11.2786			0.563225			0.281613	−	0.959528i	$-0.409131\pi$
$401$	11.2786			0.563225			0.281613	+	0.959528i	$0.409131\pi$
$402$	13.8239	−	3.71929i	0.689474	−	0.185501i
$403$	−5.89392	−	11.5675i	−0.293597	−	0.576217i
$404$	31.5495	−	18.3014i	1.56964	−	0.910530i
$405$	0.643573	−	2.14145i	0.0319794	−	0.106410i
$406$	−1.53735	−	1.70388i	−0.0762973	−	0.0845623i
$407$	0.0424210	+	0.0424210i	0.00210273	+	0.00210273i
$408$	8.53495	+	8.48263i	0.422543	+	0.419953i
$409$	−3.93615	+	5.41764i	−0.194630	+	0.267885i	−0.895167	−	0.445731i	$-0.852944\pi$
$409$	−3.93615	+	5.41764i	−0.194630	+	0.267885i	0.700537	+	0.713616i	$0.252944\pi$
$410$	12.5839	+	18.4255i	0.621475	+	0.909971i
$411$	−1.50372	−	2.06970i	−0.0741732	−	0.102091i
$412$	−18.1830	−	11.7553i	−0.895812	−	0.579140i
$413$	−0.189061	−	1.19369i	−0.00930310	−	0.0587374i
$414$	−7.18644	−	4.13928i	−0.353194	−	0.203434i
$415$	4.00498	+	7.44651i	0.196597	+	0.365535i
$416$	16.0085	+	1.59966i	0.784880	+	0.0784296i
$417$	−10.0277	−	5.10936i	−0.491058	−	0.250206i
$418$	−0.0336916	+	0.0880392i	−0.00164791	+	0.00430614i
$419$	−5.35944	−	16.4947i	−0.261826	−	0.805817i	−0.992408	−	0.122992i	$-0.960751\pi$
$419$	−5.35944	−	16.4947i	−0.261826	−	0.805817i	0.730582	−	0.682825i	$-0.239249\pi$
$420$	−0.822831	+	1.97578i	−0.0401500	+	0.0964083i
$421$	2.27461	−	7.00054i	0.110858	−	0.341185i	−0.880203	−	0.474598i	$-0.842594\pi$
$421$	2.27461	−	7.00054i	0.110858	−	0.341185i	0.991061	+	0.133413i	$0.0425935\pi$
$422$	27.2139	+	21.9913i	1.32475	+	1.07052i
$423$	−0.687800	+	4.34260i	−0.0334420	+	0.211144i
$424$	−0.587671	+	1.82777i	−0.0285398	+	0.0887644i
$425$	2.39121	−	21.1373i	0.115991	−	1.02531i
$426$	−4.05460	−	9.08172i	−0.196446	−	0.440011i
$427$	4.25319	+	0.673640i	0.205826	+	0.0325997i
$428$	10.8633	+	2.88696i	0.525098	+	0.139546i
$429$	−0.0249564	−	0.00810883i	−0.00120491	−	0.000391498i
$430$	−26.2284	+	12.4158i	−1.26484	+	0.598742i
$431$	−27.6029	+	8.96873i	−1.32959	+	0.432009i	−0.885776	−	0.464113i	$-0.846373\pi$
$431$	−27.6029	+	8.96873i	−1.32959	+	0.432009i	−0.443809	+	0.896121i	$0.646373\pi$
$432$	2.50452	−	3.11888i	0.120499	−	0.150057i
$433$	5.40336	−	10.6047i	0.259669	−	0.509629i	−0.723959	−	0.689843i	$-0.757679\pi$
$433$	5.40336	−	10.6047i	0.259669	−	0.509629i	0.983627	+	0.180215i	$0.0576793\pi$
$434$	3.02269	+	0.639254i	0.145094	+	0.0306852i
$435$	3.29124	−	6.83041i	0.157803	−	0.327493i
$436$	3.21351	−	31.1894i	0.153899	−	1.49370i
$437$	41.8434	−	6.62734i	2.00164	−	0.317029i
$438$	−2.27655	−	3.49773i	−0.108778	−	0.167128i
$439$	8.32588	−	6.04910i	0.397372	−	0.288708i	−0.371097	−	0.928594i	$-0.621018\pi$
$439$	8.32588	−	6.04910i	0.397372	−	0.288708i	0.768470	+	0.639886i	$0.221018\pi$
$440$	−0.0422930	−	0.0402061i	−0.00201624	−	0.00191675i
$441$	5.47782	+	3.97987i	0.260849	+	0.189518i
$442$	0.878030	−	17.0889i	0.0417636	−	0.812837i
$443$	19.8963	−	19.8963i	0.945304	−	0.945304i	−0.0532759	−	0.998580i	$-0.516966\pi$
$443$	19.8963	−	19.8963i	0.945304	−	0.945304i	0.998580	+	0.0532759i	$0.0169663\pi$
$444$	11.8907	+	5.26491i	0.564309	+	0.249862i
$445$	−0.765011	−	34.4305i	−0.0362650	−	1.63216i
$446$	−1.04463	−	9.84198i	−0.0494649	−	0.466031i
$447$	0.932740	−	0.475255i	0.0441171	−	0.0224788i
$448$	−2.69055	+	2.72385i	−0.127117	+	0.128690i
$449$		−	3.25601i		−	0.153660i	−0.997044	−	0.0768302i	$-0.975520\pi$
$449$		−	3.25601i		−	0.153660i	0.997044	−	0.0768302i	$-0.0244799\pi$
$450$	−7.07090	−	0.0488201i	−0.333325	−	0.00230140i
$451$		−	0.0651020i		−	0.00306553i
$452$	−6.26018	−	7.69835i	−0.294454	−	0.362100i
$453$	−2.37113	+	1.20815i	−0.111405	+	0.0567638i
$454$	−20.7262	+	2.19990i	−0.972730	+	0.103246i
$455$	2.87292	−	1.00455i	0.134685	−	0.0470942i
$456$	0.0628289	+	20.4333i	0.00294223	+	0.956877i
$457$	−7.55858	+	7.55858i	−0.353576	+	0.353576i	−0.861438	−	0.507862i	$-0.830436\pi$
$457$	−7.55858	+	7.55858i	−0.353576	+	0.353576i	0.507862	+	0.861438i	$0.330436\pi$
$458$	−37.9627	−	1.95053i	−1.77388	−	0.0911422i
$459$	−3.44189	−	2.50068i	−0.160654	−	0.116722i
$460$	−6.17107	+	25.4893i	−0.287728	+	1.18844i
$461$	−21.9843	+	15.9725i	−1.02391	+	0.743915i	−0.967081	−	0.254469i	$-0.918099\pi$
$461$	−21.9843	+	15.9725i	−1.02391	+	0.743915i	−0.0568302	+	0.998384i	$0.518099\pi$
$462$	0.00523377	−	0.00340648i	0.000243497	−	0.000158484i
$463$	30.3214	−	4.80244i	1.40916	−	0.223188i	0.594949	−	0.803764i	$-0.297172\pi$
$463$	30.3214	−	4.80244i	1.40916	−	0.223188i	0.814207	+	0.580575i	$0.197172\pi$
$464$	10.0421	−	9.11673i	0.466191	−	0.423233i
$465$	1.82033	+	10.0437i	0.0844156	+	0.465764i
$466$	−6.33752	+	29.9667i	−0.293580	+	1.38818i
$467$	−5.34562	+	10.4914i	−0.247366	+	0.485483i	−0.980986	−	0.194076i	$-0.937829\pi$
$467$	−5.34562	+	10.4914i	−0.247366	+	0.485483i	0.733621	+	0.679559i	$0.237829\pi$
$468$	−5.67962	+	0.309332i	−0.262540	+	0.0142989i
$469$	4.60735	−	1.49702i	0.212748	−	0.0691260i
$470$	13.7900	−	1.77426i	0.636085	−	0.0818407i
$471$	−5.00463	−	1.62610i	−0.230601	−	0.0749269i
$472$	7.05127	−	1.13905i	0.324561	−	0.0524289i
$473$	0.0836257	+	0.0132450i	0.00384511	+	0.000609006i
$474$	3.05476	−	1.36382i	0.140310	−	0.0626424i
$475$	28.2510	−	22.5087i	1.29625	−	1.03277i
$476$	3.03178	+	2.71859i	0.138961	+	0.124606i
$477$	0.106187	−	0.670438i	0.00486197	−	0.0306972i
$478$	−9.86633	+	12.2095i	−0.451275	+	0.558448i
$479$	−9.32001	+	28.6840i	−0.425842	+	1.31061i	0.476344	+	0.879259i	$0.341962\pi$
$479$	−9.32001	+	28.6840i	−0.425842	+	1.31061i	−0.902186	+	0.431348i	$0.858038\pi$
$480$	−11.6919	−	4.82704i	−0.533658	−	0.220323i
$481$	−5.71436	−	17.5870i	−0.260552	−	0.801898i
$482$	1.66565	+	0.637425i	0.0758683	+	0.0290339i
$483$	−2.50061	−	1.27412i	−0.113782	−	0.0579747i
$484$	−4.61812	−	21.5097i	−0.209915	−	0.977712i
$485$	5.38199	−	39.6645i	0.244384	−	1.80107i
$486$	−0.705851	+	1.22547i	−0.0320181	+	0.0555884i
$487$	3.03505	+	19.1625i	0.137531	+	0.868337i	0.955910	+	0.293659i	$0.0948729\pi$
$487$	3.03505	+	19.1625i	0.137531	+	0.868337i	−0.818379	+	0.574678i	$0.805127\pi$
$488$	−3.90394	+	25.1487i	−0.176723	+	1.13843i
$489$	10.8616	+	14.9498i	0.491180	+	0.676051i
$490$	7.20666	−	20.1624i	0.325564	−	0.910845i
$491$	1.27404	−	1.75356i	0.0574965	−	0.0791371i	−0.779301	−	0.626650i	$-0.784425\pi$
$491$	1.27404	−	1.75356i	0.0574965	−	0.0791371i	0.836797	+	0.547513i	$0.184425\pi$
$492$	−5.08419	−	13.1641i	−0.229213	−	0.593482i
$493$	−10.2006	−	10.2006i	−0.459410	−	0.459410i
$494$	21.5732	−	19.4647i	0.970625	−	0.875758i
$495$	0.0169564	+	0.0117531i	0.000762134	+	0.000528261i
$496$	−3.72308	+	17.8758i	−0.167171	+	0.802645i
$497$	−1.52800	−	2.99886i	−0.0685400	−	0.134517i
$498$	−1.38934	−	5.16390i	−0.0622577	−	0.231400i
$499$	13.9379			0.623948			0.311974	−	0.950091i	$-0.399010\pi$
$499$	13.9379			0.623948			0.311974	+	0.950091i	$0.399010\pi$
$500$	6.13942	+	21.5013i	0.274563	+	0.961569i
$501$	−19.8570			−0.887144
$502$	0.591978	+	2.20027i	0.0264213	+	0.0982029i
$503$	12.6449	+	24.8171i	0.563810	+	1.10654i	0.980321	+	0.197409i	$0.0632528\pi$
$503$	12.6449	+	24.8171i	0.563810	+	1.10654i	−0.416511	+	0.909131i	$0.636747\pi$
$504$	0.792271	−	1.09755i	0.0352905	−	0.0488887i
$505$	33.5148	+	23.2303i	1.49139	+	1.03373i
$506$	0.0568123	−	0.0512595i	0.00252561	−	0.00227876i
$507$	−3.47300	−	3.47300i	−0.154241	−	0.154241i
$508$	7.36319	−	2.84380i	0.326689	−	0.126173i
$509$	9.16632	−	12.6164i	0.406290	−	0.559210i	−0.556019	−	0.831170i	$-0.687672\pi$
$509$	9.16632	−	12.6164i	0.406290	−	0.559210i	0.962309	+	0.271959i	$0.0876717\pi$
$510$	−4.52818	+	12.6687i	−0.200511	+	0.560980i
$511$	−0.830121	−	1.14256i	−0.0367224	−	0.0505440i
$512$	−16.1469	−	15.8517i	−0.713599	−	0.700554i
$513$	−1.13013	−	7.13535i	−0.0498964	−	0.315033i
$514$	−21.7461	+	37.7547i	−0.959181	+	1.66529i
$515$	3.25486	−	23.9878i	0.143426	−	1.05703i
$516$	17.9441	−	3.85259i	0.789943	−	0.169601i
$517$	−0.0361455	−	0.0184170i	−0.00158968	−	0.000809980i
$518$	4.11002	+	1.57286i	0.180584	+	0.0691074i
$519$	1.79603	+	5.52762i	0.0788371	+	0.242636i
$520$	5.98914	+	16.9608i	0.262641	+	0.743779i
$521$	7.04186	−	21.6726i	0.308509	−	0.949494i	−0.669835	−	0.742510i	$-0.733635\pi$
$521$	7.04186	−	21.6726i	0.308509	−	0.949494i	0.978344	−	0.206984i	$-0.0663649\pi$
$522$	−3.01394	+	3.72972i	−0.131917	+	0.163245i
$523$	2.51510	−	15.8797i	0.109977	−	0.694371i	−0.869668	−	0.493637i	$-0.835667\pi$
$523$	2.51510	−	15.8797i	0.109977	−	0.694371i	0.979646	−	0.200734i	$-0.0643327\pi$
$524$	−6.31557	+	7.04313i	−0.275897	+	0.307681i
$525$	−2.39053	+	0.106283i	−0.104331	+	0.00463857i
$526$	23.3864	−	10.4410i	1.01970	−	0.455251i
$527$	19.1816	+	3.03807i	0.835564	+	0.132340i
$528$	0.0202275	+	0.0308698i	0.000880288	+	0.00134343i
$529$	−10.8318	−	3.51947i	−0.470949	−	0.153021i
$530$	−2.12899	+	0.273922i	−0.0924774	+	0.0118984i
$531$	−2.40172	+	0.780367i	−0.104226	+	0.0338650i
$532$	0.376047	+	6.90456i	0.0163037	+	0.299351i
$533$	−9.11024	+	17.8799i	−0.394608	+	0.774463i
$534$	−4.50671	+	21.3098i	−0.195024	+	0.922165i
$535$	2.24117	+	12.3657i	0.0968941	+	0.534614i
$536$	8.93115	+	27.2024i	0.385767	+	1.17496i
$537$	22.4808	−	3.56061i	0.970119	−	0.153652i
$538$	−5.13130	+	3.33978i	−0.221226	+	0.143988i
$539$	−0.0505419	+	0.0367208i	−0.00217699	+	0.00158168i
$540$	4.34656	+	1.05232i	0.187046	+	0.0452848i
$541$	6.37355	+	4.63066i	0.274020	+	0.199087i	0.716305	−	0.697787i	$-0.245832\pi$
$541$	6.37355	+	4.63066i	0.274020	+	0.199087i	−0.442285	+	0.896875i	$0.645832\pi$
$542$	−27.0551	−	1.39009i	−1.16211	−	0.0597095i
$543$	3.28938	−	3.28938i	0.141161	−	0.141161i
$544$	−16.0118	+	17.9673i	−0.686502	+	0.770340i
$545$	33.0908	−	11.5706i	1.41745	−	0.495631i
$546$	−1.91412	+	0.203166i	−0.0819167	+	0.00869468i
$547$	−33.1305	+	16.8808i	−1.41656	+	0.721773i	−0.983722	−	0.179699i	$-0.942488\pi$
$547$	−33.1305	+	16.8808i	−1.41656	+	0.721773i	−0.432837	+	0.901472i	$0.642488\pi$
$548$	3.96971	−	3.22811i	0.169578	−	0.137898i
$549$		−	8.99790i		−	0.384021i
$550$	0.0205889	−	0.0619083i	0.000877912	−	0.00263978i
$551$		−	24.4959i		−	1.04356i
$552$	7.48466	−	14.8018i	0.318568	−	0.630007i
$553$	1.00871	−	0.513962i	0.0428946	−	0.0218559i
$554$	0.800394	+	7.54089i	0.0340055	+	0.320382i
$555$	0.322965	+	14.5355i	0.0137091	+	0.616998i
$556$	9.11292	−	20.5814i	0.386474	−	0.872846i
$557$	−12.6617	+	12.6617i	−0.536492	+	0.536492i	−0.922497	−	0.386005i	$-0.873855\pi$
$557$	−12.6617	+	12.6617i	−0.536492	+	0.536492i	0.386005	+	0.922497i	$0.373855\pi$
$558$	0.331255	−	6.44715i	0.0140231	−	0.272930i
$559$	−21.1138	−	15.3401i	−0.893018	−	0.648816i
$560$	−4.03521	−	1.42833i	−0.170519	−	0.0603579i
$561$	0.0317571	−	0.0230729i	0.00134079	−	0.000974138i
$562$	−0.783542	−	1.20385i	−0.0330517	−	0.0507812i
$563$	−29.3480	+	4.64826i	−1.23687	+	0.195901i	−0.740408	−	0.672158i	$-0.765368\pi$
$563$	−29.3480	+	4.64826i	−1.23687	+	0.195901i	−0.496461	+	0.868059i	$0.665368\pi$
$564$	−8.74715	−	0.901238i	−0.368321	−	0.0379490i
$565$	4.81558	−	9.99391i	0.202593	−	0.420447i
$566$	1.92349	+	0.406790i	0.0808502	+	0.0170986i
$567$	−0.217270	+	0.426417i	−0.00912450	+	0.0179078i
$568$	17.6956	−	9.08498i	0.742489	−	0.381197i
$569$	−26.6584	+	8.66183i	−1.11758	+	0.363123i	−0.808843	−	0.588025i	$-0.799906\pi$
$569$	−26.6584	+	8.66183i	−1.11758	+	0.363123i	−0.308735	+	0.951148i	$0.599906\pi$
$570$	−20.6486	+	9.77446i	−0.864874	+	0.409407i
$571$	8.01362	+	2.60378i	0.335360	+	0.108965i	0.471856	−	0.881676i	$-0.343584\pi$
$571$	8.01362	+	2.60378i	0.335360	+	0.108965i	−0.136496	+	0.990641i	$0.543584\pi$
$572$	0.0134793	−	0.0507209i	0.000563596	−	0.00212075i
$573$	−22.7326	−	3.60049i	−0.949669	−	0.150413i
$574$	−1.94685	−	4.36065i	−0.0812598	−	0.182010i
$575$	−28.7279	+	5.86861i	−1.19804	+	0.244738i
$576$	6.50093	+	4.66239i	0.270872	+	0.194266i
$577$	−1.09509	+	6.91411i	−0.0455891	+	0.287838i	−0.999941	−	0.0108457i	$-0.996548\pi$
$577$	−1.09509	+	6.91411i	−0.0455891	+	0.287838i	0.954352	+	0.298684i	$0.0965476\pi$
$578$	1.21002	+	0.977802i	0.0503302	+	0.0406712i
$579$	7.21063	−	22.1920i	0.299663	−	0.922269i
$580$	13.9986	+	5.82983i	0.581259	+	0.242070i
$581$	−0.559210	−	1.72107i	−0.0231999	−	0.0714021i
$582$	−9.04817	+	23.6437i	−0.375059	+	0.980063i
$583$	0.00558037	+	0.00284334i	0.000231115	+	0.000117759i
$584$	6.73749	−	4.92680i	0.278799	−	0.203872i
$585$	−3.01227	−	5.60075i	−0.124542	−	0.231563i
$586$	12.2772	+	7.07145i	0.507165	+	0.292119i
$587$	7.27291	+	45.9194i	0.300185	+	1.89530i	0.428467	+	0.903558i	$0.359054\pi$
$587$	7.27291	+	45.9194i	0.300185	+	1.89530i	−0.128282	+	0.991738i	$0.540946\pi$
$588$	−7.35216	+	11.3723i	−0.303198	+	0.468986i
$589$	19.3838	+	26.6795i	0.798696	+	1.09931i
$590$	4.50382	+	6.59454i	0.185419	+	0.271493i
$591$	−4.27817	+	5.88839i	−0.175980	+	0.242216i
$592$	−9.22093	+	24.3189i	−0.378978	+	0.999500i
$593$	−23.3870	−	23.3870i	−0.960388	−	0.960388i	0.0388569	−	0.999245i	$-0.487628\pi$
$593$	−23.3870	−	23.3870i	−0.960388	−	0.960388i	−0.999245	+	0.0388569i	$0.987628\pi$
$594$	−0.00874104	−	0.00968792i	−0.000358649	−	0.000397500i
$595$	−1.31036	+	4.36016i	−0.0537196	+	0.178749i
$596$	1.05055	+	1.81103i	0.0430323	+	0.0741826i
$597$	−8.44042	−	16.5653i	−0.345444	−	0.677971i
$598$	−22.7763	+	6.12792i	−0.931392	+	0.250589i
$599$	−19.0773			−0.779479			−0.389739	−	0.920925i	$-0.627435\pi$
$599$	−19.0773			−0.779479			−0.389739	+	0.920925i	$0.627435\pi$
$600$	−0.671576	−	14.1262i	−0.0274170	−	0.576699i
$601$	15.5584			0.634640			0.317320	−	0.948318i	$-0.397217\pi$
$601$	15.5584			0.634640			0.317320	+	0.948318i	$0.397217\pi$
$602$	5.99749	−	1.61361i	0.244439	−	0.0657659i
$603$	−4.59556	−	9.01929i	−0.187146	−	0.367294i
$604$	−2.67062	−	4.60383i	−0.108666	−	0.187327i
$605$	19.5730	−	14.8960i	0.795754	−	0.605607i
$606$	−17.2769	−	19.1485i	−0.701827	−	0.777853i
$607$	−8.69480	−	8.69480i	−0.352911	−	0.352911i	0.508281	−	0.861192i	$-0.330281\pi$
$607$	−8.69480	−	8.69480i	−0.352911	−	0.352911i	−0.861192	+	0.508281i	$0.830281\pi$
$608$	−40.7993	+	2.34792i	−1.65463	+	0.0952206i
$609$	−0.953831	+	1.31284i	−0.0386512	+	0.0531988i
$610$	−27.3058	+	8.00110i	−1.10558	+	0.323955i
$611$	7.34989	+	10.1163i	0.297345	+	0.409260i
$612$	4.61960	−	7.14559i	0.186736	−	0.288843i
$613$	−5.95915	−	37.6246i	−0.240688	−	1.51964i	−0.751374	−	0.659877i	$-0.770609\pi$
$613$	−5.95915	−	37.6246i	−0.240688	−	1.51964i	0.510686	−	0.859767i	$-0.329391\pi$
$614$	−12.4481	−	7.16989i	−0.502363	−	0.289353i
$615$	10.9057	−	11.4014i	0.439762	−	0.459748i
$616$	0.00737213	+	0.0100815i	0.000297032	+	0.000406197i
$617$	−2.33785	−	1.19119i	−0.0941182	−	0.0479556i	0.406298	−	0.913741i	$-0.366820\pi$
$617$	−2.33785	−	1.19119i	−0.0941182	−	0.0479556i	−0.500416	+	0.865785i	$0.666820\pi$
$618$	−5.47205	+	14.2990i	−0.220118	+	0.575189i
$619$	−0.100449	−	0.309150i	−0.00403738	−	0.0124258i	0.949018	−	0.315223i	$-0.102079\pi$
$619$	−0.100449	−	0.309150i	−0.00403738	−	0.0124258i	−0.953055	+	0.302798i	$0.902079\pi$
$620$	−19.8596	+	4.72767i	−0.797581	+	0.189868i
$621$	−1.81215	+	5.57722i	−0.0727190	+	0.223806i
$622$	−25.9384	−	20.9605i	−1.04004	−	0.840441i
$623$	−1.15306	+	7.28013i	−0.0461963	+	0.291672i
$624$	−1.23550	−	11.3088i	−0.0494595	−	0.452714i
$625$	−18.8416	+	16.4315i	−0.753662	+	0.657262i
$626$	7.84907	+	17.5808i	0.313712	+	0.702669i
$627$	0.0658353	+	0.0104273i	0.00262921	+	0.000416426i
$628$	2.70306	−	10.1713i	0.107864	−	0.405880i
$629$	26.3087	+	8.54821i	1.04900	+	0.340839i
$630$	1.48724	+	0.280169i	0.0592531	+	0.0111622i
$631$	10.0045	−	3.25066i	0.398273	−	0.129407i	−0.103030	−	0.994678i	$-0.532854\pi$
$631$	10.0045	−	3.25066i	0.398273	−	0.129407i	0.501304	+	0.865271i	$0.332854\pi$
$632$	3.05586	+	5.95215i	0.121556	+	0.236764i
$633$	11.2321	−	22.0442i	0.446435	−	0.876178i
$634$	23.8735	+	5.04890i	0.948138	+	0.200518i
$635$	6.37726	+	6.10002i	0.253074	+	0.242072i
$636$	1.35044	+	0.139139i	0.0535485	+	0.00551721i
$637$	19.0197	−	3.01242i	0.753586	−	0.119356i
$638$	−0.0241352	−	0.0370817i	−0.000955521	−	0.00146808i
$639$	−5.68957	+	4.13371i	−0.225076	+	0.163527i
$640$	8.36813	−	23.8741i	0.330779	−	0.943708i
$641$	−35.5379	−	25.8198i	−1.40366	−	1.01982i	−0.994206	−	0.107492i	$-0.965718\pi$
$641$	−35.5379	−	25.8198i	−1.40366	−	1.01982i	−0.409457	−	0.912329i	$-0.634282\pi$
$642$	0.407838	−	7.93767i	0.0160961	−	0.313275i
$643$	10.0572	−	10.0572i	0.396616	−	0.396616i	−0.480422	−	0.877037i	$-0.659516\pi$
$643$	10.0572	−	10.0572i	0.396616	−	0.396616i	0.877037	+	0.480422i	$0.159516\pi$
$644$	2.27250	−	5.13240i	0.0895490	−	0.202245i
$645$	12.4267	+	16.3284i	0.489300	+	0.642930i
$646$	4.58775	+	43.2233i	0.180502	+	1.70060i
$647$	24.4178	−	12.4415i	0.959963	−	0.489126i	0.0974945	−	0.995236i	$-0.468917\pi$
$647$	24.4178	−	12.4415i	0.959963	−	0.489126i	0.862469	+	0.506110i	$0.168917\pi$
$648$	−2.52408	−	1.27632i	−0.0991554	−	0.0501387i
$649$		−	0.0233002i		−	0.000914613i
$650$	−14.3179	+	14.1216i	−0.561595	+	0.553894i
$651$		−	2.18464i		−	0.0856227i
$652$	−28.6739	+	23.3171i	−1.12296	+	0.913170i
$653$	−4.64388	+	2.36618i	−0.181729	+	0.0925956i	−0.542488	−	0.840063i	$-0.682518\pi$
$653$	−4.64388	+	2.36618i	−0.181729	+	0.0925956i	0.360759	+	0.932659i	$0.382518\pi$
$654$	−22.0471	+	2.34009i	−0.862110	+	0.0915049i
$655$	−10.1291	−	3.04411i	−0.395777	−	0.118943i
$656$	25.7362	−	11.5851i	1.00483	−	0.452324i
$657$	−2.08667	+	2.08667i	−0.0814087	+	0.0814087i
$658$	−2.97184	−	0.152694i	−0.115855	−	0.00595261i
$659$	3.08407	+	2.24070i	0.120138	+	0.0872855i	0.646232	−	0.763141i	$-0.276344\pi$
$659$	3.08407	+	2.24070i	0.120138	+	0.0872855i	−0.526094	+	0.850427i	$0.676344\pi$
$660$	−0.0216271	+	0.0351410i	−0.000841832	+	0.00136786i
$661$	−21.1830	+	15.3904i	−0.823925	+	0.598616i	−0.917834	−	0.396965i	$-0.870064\pi$
$661$	−21.1830	+	15.3904i	−0.823925	+	0.598616i	0.0939094	+	0.995581i	$0.470064\pi$
$662$	−25.9486	+	16.8891i	−1.00852	+	0.656412i
$663$	−11.9507	+	1.89280i	−0.464126	+	0.0735103i
$664$	10.1614	−	3.33622i	0.394339	−	0.129470i
$665$	−6.80869	+	3.66194i	−0.264030	+	0.142004i
$666$	1.90260	−	8.99635i	0.0737242	−	0.348602i
$667$	−9.02728	+	17.7170i	−0.349538	+	0.686006i
$668$	−2.15976	−	39.6552i	−0.0835636	−	1.53430i
$669$	−6.65590	+	2.16263i	−0.257332	+	0.0836122i
$670$	−23.2842	+	21.9662i	−0.899548	+	0.848627i
$671$	0.0789571	+	0.0256547i	0.00304810	+	0.000990389i
$672$	2.27802	+	1.46282i	0.0878765	+	0.0564295i
$673$	−25.4790	−	4.03547i	−0.982142	−	0.155556i	−0.355342	−	0.934736i	$-0.615636\pi$
$673$	−25.4790	−	4.03547i	−0.982142	−	0.155556i	−0.626800	+	0.779180i	$0.715636\pi$
$674$	40.5520	−	18.1047i	1.56200	−	0.697368i
$675$	1.00075	+	4.89883i	0.0385188	+	0.188556i
$676$	6.55797	−	7.31346i	0.252230	−	0.281287i
$677$	−4.12705	+	26.0571i	−0.158615	+	1.00146i	0.772044	+	0.635570i	$0.219235\pi$
$677$	−4.12705	+	26.0571i	−0.158615	+	1.00146i	−0.930659	+	0.365888i	$0.880765\pi$
$678$	−4.40985	+	5.45714i	−0.169359	+	0.209580i
$679$	−2.64737	+	8.14776i	−0.101597	+	0.312682i
$680$	−25.7924	−	7.66504i	−0.989095	−	0.293941i
$681$	4.55429	+	14.0167i	0.174521	+	0.537119i
$682$	0.0556296	+	0.0212888i	0.00213017	+	0.000815191i
$683$	−20.3220	−	10.3546i	−0.777600	−	0.396207i	0.0196878	−	0.999806i	$-0.493733\pi$
$683$	−20.3220	−	10.3546i	−0.777600	−	0.396207i	−0.797288	+	0.603599i	$0.793733\pi$
$684$	14.1267	−	3.03299i	0.540147	−	0.115969i
$685$	5.15344	+	2.48319i	0.196903	+	0.0948778i
$686$	−4.65191	+	8.07645i	−0.177611	+	0.308360i
$687$	4.20482	+	26.5482i	0.160424	+	1.01288i
$688$	9.64547	+	35.4160i	0.367730	+	1.35022i
$689$	−1.13472	−	1.56181i	−0.0432295	−	0.0595003i
$690$	18.5365	+	0.539927i	0.705672	+	0.0205547i
$691$	27.1958	−	37.4318i	1.03458	−	1.42397i	0.133121	−	0.991100i	$-0.457500\pi$
$691$	27.1958	−	37.4318i	1.03458	−	1.42397i	0.901455	−	0.432872i	$-0.142500\pi$
$692$	−10.8435	+	4.18797i	−0.412209	+	0.159203i
$693$	−0.00312236	−	0.00312236i	−0.000118608	−	0.000118608i
$694$	32.9409	−	29.7214i	1.25042	−	1.12821i
$695$	25.1592	−	0.559013i	0.954344	−	0.0212046i
$696$	−7.77622	−	5.61330i	−0.294757	−	0.212772i
$697$	−13.6282	−	26.7468i	−0.516204	−	1.01311i
$698$	12.0348	+	44.7312i	0.455525	+	1.69310i
$699$	21.6583			0.819193
$700$	−0.472260	−	4.76243i	−0.0178498	−	0.180003i
$701$	−10.5399			−0.398088			−0.199044	−	0.979991i	$-0.563784\pi$
$701$	−10.5399			−0.398088			−0.199044	+	0.979991i	$0.563784\pi$
$702$	1.04496	+	3.88393i	0.0394396	+	0.146590i
$703$	21.3253	+	41.8532i	0.804299	+	1.57852i
$704$	−0.0594481	+	0.0437527i	−0.00224053	+	0.00164899i
$705$	−3.24502	−	9.28041i	−0.122214	−	0.349520i
$706$	13.6981	−	12.3593i	0.515535	−	0.465147i
$707$	−6.17142	−	6.17142i	−0.232100	−	0.232100i
$708$	−1.81965	−	4.71146i	−0.0683866	−	0.177067i
$709$	−6.66013	+	9.16688i	−0.250126	+	0.344269i	−0.915556	−	0.402192i	$-0.868249\pi$
$709$	−6.66013	+	9.16688i	−0.250126	+	0.344269i	0.665429	+	0.746461i	$0.268249\pi$
$710$	17.6038	+	13.5902i	0.660657	+	0.510033i
$711$	−1.39043	−	1.91376i	−0.0521452	−	0.0717718i
$712$	−43.0467	−	6.68231i	−1.61324	−	0.250430i
$713$	−4.18764	−	26.4397i	−0.156828	−	0.990175i
$714$	1.43717	−	2.49515i	0.0537846	−	0.0933785i
$715$	0.0577354	−	0.0104640i	0.00215918	−	0.000391333i
$716$	9.55583	+	44.5078i	0.357118	+	1.66334i
$717$	9.89008	+	5.03925i	0.369352	+	0.188194i
$718$	15.2838	+	5.84893i	0.570386	+	0.218280i
$719$	8.75905	+	26.9576i	0.326658	+	1.00535i	0.970687	+	0.240348i	$0.0772615\pi$
$719$	8.75905	+	26.9576i	0.326658	+	1.00535i	−0.644029	+	0.765001i	$0.722739\pi$
$720$	−1.62878	+	8.79472i	−0.0607009	+	0.327760i
$721$	−1.60105	+	4.92751i	−0.0596261	+	0.183510i
$722$	−29.5019	+	36.5082i	−1.09795	+	1.35869i
$723$	0.197278	−	1.24556i	0.00733685	−	0.0463230i
$724$	6.92680	+	6.21125i	0.257432	+	0.230839i
$725$	0.753024	+	16.9371i	0.0279666	+	0.629029i
$726$	−14.2048	+	6.34185i	−0.527191	+	0.235368i
$727$	−43.9866	−	6.96679i	−1.63137	−	0.258384i	−0.727475	−	0.686134i	$-0.759306\pi$
$727$	−43.9866	−	6.96679i	−1.63137	−	0.258384i	−0.903897	+	0.427750i	$0.859306\pi$
$728$	−0.613920	−	3.80047i	−0.0227534	−	0.140855i
$729$	0.951057	+	0.309017i	0.0352243	+	0.0114451i
$730$	8.18788	+	4.47687i	0.303047	+	0.165697i
$731$	37.1298	−	12.0642i	1.37330	−	0.446211i
$732$	17.9692	−	0.978665i	0.664160	−	0.0361725i
$733$	11.9095	−	23.3738i	0.439889	−	0.863331i	−0.559515	−	0.828820i	$-0.689013\pi$
$733$	11.9095	−	23.3738i	0.439889	−	0.863331i	0.999404	−	0.0345111i	$-0.0109874\pi$
$734$	1.96596	−	9.29595i	0.0725649	−	0.343120i
$735$	−15.0029	−	2.03571i	−0.553388	−	0.0750881i
$736$	30.3739	+	13.3372i	1.11960	+	0.491617i
$737$	0.0922475	−	0.0146106i	0.00339798	−	0.000538187i
$738$	−8.36311	+	5.44326i	−0.307850	+	0.200369i
$739$	−22.6226	+	16.4363i	−0.832187	+	0.604619i	−0.920177	−	0.391502i	$-0.871956\pi$
$739$	−22.6226	+	16.4363i	−0.832187	+	0.604619i	0.0879901	+	0.996121i	$0.471956\pi$
$740$	−28.9929	+	2.22594i	−1.06580	+	0.0818272i
$741$	−16.6221	−	12.0766i	−0.610627	−	0.443647i
$742$	0.458812	+	0.0235738i	0.0168435	+	0.000865422i
$743$	32.7328	−	32.7328i	1.20085	−	1.20085i	0.226941	−	0.973909i	$-0.427128\pi$
$743$	32.7328	−	32.7328i	1.20085	−	1.20085i	0.973909	−	0.226941i	$-0.0728723\pi$
$744$	12.9112	−	0.0396999i	0.473349	−	0.00145547i
$745$	−1.33348	+	1.92385i	−0.0488550	+	0.0704842i
$746$	−11.0579	+	1.17369i	−0.404858	+	0.0429719i
$747$	−3.36914	+	1.71666i	−0.123270	+	0.0628095i
$748$	0.0495316	+	0.0609107i	0.00181105	+	0.00222712i
$749$		−	2.68970i		−	0.0982796i
$750$	13.9765	−	7.39307i	0.510350	−	0.269957i
$751$			50.2489i			1.83361i	0.399338	+	0.916804i	$0.369240\pi$
$751$			50.2489i			1.83361i	−0.399338	+	0.916804i	$0.630760\pi$
$752$	0.848417	−	17.5664i	0.0309386	−	0.640582i
$753$	1.43555	−	0.731448i	0.0523143	−	0.0266554i
$754$	1.43944	+	13.5617i	0.0524215	+	0.493887i
$755$	3.38986	−	4.89062i	0.123370	−	0.177988i
$756$	−0.875204	−	0.387518i	−0.0318309	−	0.0140939i
$757$	−18.7549	+	18.7549i	−0.681658	+	0.681658i	−0.960374	−	0.278716i	$-0.910091\pi$
$757$	−18.7549	+	18.7549i	−0.681658	+	0.681658i	0.278716	+	0.960374i	$0.410091\pi$
$758$	1.18781	−	23.1182i	0.0431434	−	0.839690i
$759$	−0.0437736	−	0.0318034i	−0.00158888	−	0.00115439i
$760$	−21.7659	−	40.1729i	−0.789531	−	1.45723i
$761$	−25.1788	+	18.2935i	−0.912731	+	0.663138i	−0.941704	−	0.336442i	$-0.890776\pi$
$761$	−25.1788	+	18.2935i	−0.912731	+	0.663138i	0.0289729	+	0.999580i	$0.490776\pi$
$762$	−3.04464	−	4.67783i	−0.110296	−	0.169460i
$763$	−7.41043	+	1.17370i	−0.268275	+	0.0424907i
$764$	4.71780	−	45.7896i	0.170684	−	1.65661i
$765$	9.42678	+	1.27910i	0.340826	+	0.0462460i
$766$	33.7867	+	7.14540i	1.22076	+	0.258174i
$767$	−3.26058	+	6.39926i	−0.117733	+	0.231064i
$768$	−8.60391	+	13.4897i	−0.310467	+	0.486769i
$769$	27.1469	−	8.82055i	0.978941	−	0.318077i	0.224521	−	0.974469i	$-0.427918\pi$
$769$	27.1469	−	8.82055i	0.978941	−	0.318077i	0.754420	+	0.656392i	$0.227918\pi$
$770$	−0.00669890	+	0.0122518i	−0.000241412	+	0.000441525i
$771$	29.3005	+	9.52032i	1.05523	+	0.342866i
$772$	45.1026	+	11.9862i	1.62328	+	0.431392i
$773$	35.7571	+	5.66336i	1.28609	+	0.203697i	0.761784	−	0.647832i	$-0.224324\pi$
$773$	35.7571	+	5.66336i	1.28609	+	0.203697i	0.524308	+	0.851529i	$0.324324\pi$
$774$	−5.29058	−	11.8501i	−0.190166	−	0.425944i
$775$	−14.2226	−	17.8511i	−0.510892	−	0.641229i
$776$	−48.2016	−	15.4979i	−1.73034	−	0.556344i
$777$	0.486787	−	3.07345i	0.0174634	−	0.110260i
$778$	9.94924	+	8.03986i	0.356697	+	0.288243i
$779$	15.7517	−	48.4789i	0.564365	−	1.73694i
$780$	10.8573	−	6.62480i	0.388754	−	0.237206i
$781$	−0.0200515	−	0.0617122i	−0.000717500	−	0.00220824i
$782$	12.6106	−	32.9525i	0.450952	−	1.17838i
$783$	3.02120	+	1.53938i	0.107969	+	0.0550129i
$784$	−23.5106	−	13.4456i	−0.839665	−	0.480202i
$785$	11.5780	−	2.09841i	0.413235	−	0.0748953i
$786$	5.79649	+	3.33869i	0.206754	+	0.119087i
$787$	3.28931	+	20.7679i	0.117251	+	0.740294i	0.974333	+	0.225113i	$0.0722753\pi$
$787$	3.28931	+	20.7679i	0.117251	+	0.740294i	−0.857081	+	0.515181i	$0.827725\pi$
$788$	−12.2247	−	7.90322i	−0.435486	−	0.281540i
$789$	−10.6448	−	14.6512i	−0.378963	−	0.521598i
$790$	−4.57127	+	5.92127i	−0.162638	+	0.210669i
$791$	−1.39560	+	1.92088i	−0.0496218	+	0.0682985i
$792$	0.0183964	−	0.0185099i	0.000653689	−	0.000657722i
$793$	−18.0950	−	18.0950i	−0.642573	−	0.642573i
$794$	−13.3680	−	14.8161i	−0.474412	−	0.525803i
$795$	0.500986	+	1.43277i	0.0177682	+	0.0508151i
$796$	32.1635	−	18.6576i	1.14000	−	0.661301i
$797$	0.286364	+	0.562022i	0.0101435	+	0.0199078i	0.896023	−	0.444008i	$-0.146444\pi$
$797$	0.286364	+	0.562022i	0.0101435	+	0.0199078i	−0.885879	+	0.463916i	$0.846444\pi$
$798$	4.72159	−	1.27034i	0.167143	−	0.0449694i
$799$	−18.7055			−0.661753
$800$	28.1375	−	2.87761i	0.994811	−	0.101739i
$801$	15.4016			0.544188
$802$	15.4026	−	4.14403i	0.543884	−	0.146331i
$803$	−0.0123612	−	0.0242601i	−0.000436216	−	0.000856121i
$804$	17.5120	−	10.1585i	0.617602	−	0.358263i
$805$	6.27398	−	0.139401i	0.221129	−	0.00491326i
$806$	−12.2992	−	13.6315i	−0.433221	−	0.480151i
$807$	3.06122	+	3.06122i	0.107760	+	0.107760i
$808$	36.3611	−	36.5854i	1.27918	−	1.28707i
$809$	−10.7939	+	14.8566i	−0.379495	+	0.522330i	−0.955451	−	0.295151i	$-0.904630\pi$
$809$	−10.7939	+	14.8566i	−0.379495	+	0.522330i	0.575956	+	0.817481i	$0.304630\pi$
$810$	0.0920712	−	3.16094i	0.00323505	−	0.111064i
$811$	28.0972	+	38.6725i	0.986625	+	1.35797i	0.933183	+	0.359403i	$0.117020\pi$
$811$	28.0972	+	38.6725i	0.986625	+	1.35797i	0.0534429	+	0.998571i	$0.482980\pi$
$812$	−2.72553	−	1.76205i	−0.0956473	−	0.0618357i
$813$	2.99667	+	18.9202i	0.105098	+	0.663561i
$814$	0.0735188	+	0.0423457i	0.00257683	+	0.00148422i
$815$	−37.2241	−	17.9365i	−1.30390	−	0.628288i
$816$	14.7725	+	8.44834i	0.517141	+	0.295751i
$817$	59.0681	+	30.0967i	2.06653	+	1.05295i
$818$	−3.38482	+	8.84484i	−0.118347	+	0.309253i
$819$	0.420599	+	1.29447i	0.0146969	+	0.0452325i
$820$	23.9552	+	20.5391i	0.836552	+	0.717258i
$821$	−12.7770	+	39.3235i	−0.445919	+	1.37240i	0.435553	+	0.900163i	$0.356553\pi$
$821$	−12.7770	+	39.3235i	−0.445919	+	1.37240i	−0.881472	+	0.472236i	$0.843447\pi$
$822$	−2.81402	−	2.27397i	−0.0981501	−	0.0793140i
$823$	4.70612	−	29.7133i	0.164045	−	1.03574i	−0.759012	−	0.651076i	$-0.774318\pi$
$823$	4.70612	−	29.7133i	0.164045	−	1.03574i	0.923057	−	0.384663i	$-0.125682\pi$
$824$	−29.1508	−	9.37267i	−1.01552	−	0.326512i
$825$	−0.0458408	−	0.00518587i	−0.00159597	−	0.000180549i
$826$	−0.696782	−	1.56069i	−0.0242441	−	0.0543034i
$827$	−3.42645	−	0.542696i	−0.119149	−	0.0188714i	0.0965750	−	0.995326i	$-0.469211\pi$
$827$	−3.42645	−	0.542696i	−0.119149	−	0.0188714i	−0.215724	+	0.976454i	$0.569211\pi$
$828$	−11.3350	−	3.01232i	−0.393920	−	0.104685i
$829$	16.7607	+	5.44590i	0.582125	+	0.189144i	0.585252	−	0.810851i	$-0.300996\pi$
$829$	16.7607	+	5.44590i	0.582125	+	0.189144i	−0.00312747	+	0.999995i	$0.500996\pi$
$830$	8.20543	+	8.69779i	0.284815	+	0.301905i
$831$	5.09972	−	1.65700i	0.176907	−	0.0574807i
$832$	22.4497	−	3.69735i	0.778304	−	0.128182i
$833$	−13.0779	+	25.6668i	−0.453121	+	0.889301i
$834$	−15.5716	−	3.29317i	−0.539200	−	0.114033i
$835$	39.1045	−	21.0317i	1.35327	−	0.727832i
$836$	−0.0136631	+	0.132610i	−0.000472548	+	0.00458641i
$837$	−4.50864	+	0.714098i	−0.155841	+	0.0246828i
$838$	−13.3797	−	20.5567i	−0.462193	−	0.710121i
$839$	−7.06575	+	5.13357i	−0.243937	+	0.177231i	−0.703035	−	0.711155i	$-0.748172\pi$
$839$	−7.06575	+	5.13357i	−0.243937	+	0.177231i	0.459099	+	0.888385i	$0.348172\pi$
$840$	−0.397747	+	3.00055i	−0.0137236	+	0.103529i
$841$	−14.1599	−	10.2878i	−0.488274	−	0.354752i
$842$	0.534149	−	10.3960i	0.0184080	−	0.358271i
$843$	−0.718189	+	0.718189i	−0.0247357	+	0.0247357i
$844$	45.2448	+	20.0333i	1.55739	+	0.689573i
$845$	10.5179	+	3.16095i	0.361826	+	0.108740i
$846$	0.656287	+	6.18318i	0.0225636	+	0.212582i
$847$	−4.69055	+	2.38996i	−0.161169	+	0.0821199i
$848$	−0.130984	+	2.71202i	−0.00449801	+	0.0931311i
$849$		−	1.39019i		−	0.0477113i
$850$	−4.50080	−	29.7447i	−0.154376	−	1.02023i
$851$		−	38.1298i		−	1.30707i
$852$	−8.87402	−	10.9127i	−0.304019	−	0.373862i
$853$	21.8126	−	11.1141i	0.746849	−	0.380539i	−0.0387705	−	0.999248i	$-0.512344\pi$
$853$	21.8126	−	11.1141i	0.746849	−	0.380539i	0.785620	+	0.618709i	$0.212344\pi$
$854$	6.05589	−	0.642775i	0.207228	−	0.0219953i
$855$	9.78305	+	12.8547i	0.334573	+	0.439622i
$856$	15.8962	−	0.0488782i	0.543321	−	0.00167062i
$857$	−2.88171	+	2.88171i	−0.0984373	+	0.0984373i	−0.754610	−	0.656173i	$-0.772174\pi$
$857$	−2.88171	+	2.88171i	−0.0984373	+	0.0984373i	0.656173	+	0.754610i	$0.272174\pi$
$858$	−0.0370611	−	0.00190420i	−0.00126525	−	6.50084e-5i
$859$	−39.7386	−	28.8718i	−1.35586	−	0.985092i	−0.998696	−	0.0510509i	$-0.983743\pi$
$859$	−39.7386	−	28.8718i	−1.35586	−	0.985092i	−0.357166	−	0.934041i	$-0.616257\pi$
$860$	−31.2569	+	26.5926i	−1.06585	+	0.906799i
$861$	−2.73189	+	1.98483i	−0.0931024	+	0.0676429i
$862$	−34.4006	+	22.3902i	−1.17169	+	0.762612i
$863$	−15.4604	+	2.44868i	−0.526276	+	0.0833540i	−0.413919	−	0.910314i	$-0.635840\pi$
$863$	−15.4604	+	2.44868i	−0.526276	+	0.0833540i	−0.112358	+	0.993668i	$0.535840\pi$
$864$	2.27434	−	5.17952i	0.0773745	−	0.176211i
$865$	−9.39158	−	8.98331i	−0.319323	−	0.305442i
$866$	3.48266	−	16.4676i	0.118346	−	0.559592i
$867$	0.499415	−	0.980156i	0.0169610	−	0.0332879i
$868$	4.36281	−	0.237614i	0.148083	−	0.00806514i
$869$	0.0207578	−	0.00674461i	0.000704159	−	0.000228795i
$870$	1.98502	−	10.5372i	0.0672984	−	0.357245i
$871$	−27.3798	−	8.89623i	−0.927729	−	0.301437i
$872$	−7.07123	−	43.7744i	−0.239462	−	1.48239i
$873$	17.6806	+	2.80034i	0.598399	+	0.0947771i
$874$	54.7083	−	24.4249i	1.85054	−	0.826186i
$875$	4.59513	−	2.74126i	0.155344	−	0.0926716i
$876$	−4.39412	−	3.94021i	−0.148464	−	0.133127i
$877$	−8.26731	+	52.1978i	−0.279167	+	1.76259i	0.306336	+	0.951923i	$0.400897\pi$
$877$	−8.26731	+	52.1978i	−0.279167	+	1.76259i	−0.585503	+	0.810670i	$0.699103\pi$
$878$	9.14763	−	11.3201i	0.308718	−	0.382035i
$879$	3.09583	−	9.52800i	0.104420	−	0.321371i
$880$	−0.0725302	−	0.0393680i	−0.00244499	−	0.00132709i
$881$	16.9137	+	52.0551i	0.569838	+	1.75378i	0.653121	+	0.757254i	$0.273459\pi$
$881$	16.9137	+	52.0551i	0.569838	+	1.75378i	−0.0832834	+	0.996526i	$0.526541\pi$
$882$	8.94309	+	3.42242i	0.301130	+	0.115239i
$883$	−36.8694	−	18.7859i	−1.24076	−	0.632196i	−0.294511	−	0.955648i	$-0.595157\pi$
$883$	−36.8694	−	18.7859i	−1.24076	−	0.632196i	−0.946245	+	0.323452i	$0.895157\pi$
$884$	−5.07982	−	23.6601i	−0.170853	−	0.795775i
$885$	3.90320	−	4.08059i	0.131205	−	0.137168i
$886$	19.8610	−	34.4819i	0.667244	−	1.15844i
$887$	−4.33280	−	27.3562i	−0.145481	−	0.918532i	−0.947156	−	0.320772i	$-0.896058\pi$
$887$	−4.33280	−	27.3562i	−0.145481	−	0.918532i	0.801675	−	0.597760i	$-0.203942\pi$
$888$	18.1730	+	2.82107i	0.609847	+	0.0946689i
$889$	−1.11020	−	1.52805i	−0.0372348	−	0.0512493i
$890$	−13.6954	−	46.7389i	−0.459070	−	1.56669i
$891$	−0.00542328	+	0.00746451i	−0.000181687	+	0.000250070i
$892$	−5.04280	−	13.0569i	−0.168845	−	0.437177i
$893$	−22.4600	−	22.4600i	−0.751596	−	0.751596i
$894$	1.09918	−	0.991744i	0.0367619	−	0.0331689i
$895$	−40.5004	+	30.8227i	−1.35378	+	1.03029i
$896$	−2.67354	+	4.70840i	−0.0893168	+	0.157297i
$897$	7.57165	+	14.8602i	0.252810	+	0.496168i
$898$	−1.19634	−	4.44656i	−0.0399224	−	0.148384i
$899$	−15.4783			−0.516231
$900$	−9.67431	+	2.53136i	−0.322477	+	0.0843785i
$901$	2.88788			0.0962091
$902$	−0.0239201	−	0.0889065i	−0.000796453	−	0.00296026i
$903$	−1.99378	−	3.91301i	−0.0663488	−	0.130217i
$904$	−11.3778	−	8.21311i	−0.378419	−	0.273164i
$905$	−2.99383	+	9.96179i	−0.0995182	+	0.331141i
$906$	−2.79422	+	2.52112i	−0.0928319	+	0.0837586i
$907$	1.04931	+	1.04931i	0.0348419	+	0.0348419i	0.724313	−	0.689471i	$-0.242157\pi$
$907$	1.04931	+	1.04931i	0.0348419	+	0.0348419i	−0.689471	+	0.724313i	$0.742157\pi$
$908$	−27.4965	+	10.6196i	−0.912503	+	0.352425i
$909$	−10.7193	+	14.7538i	−0.355536	+	0.489353i
$910$	3.55430	−	2.42745i	0.117824	−	0.0804693i
$911$	−33.9572	−	46.7381i	−1.12505	−	1.54850i	−0.797141	−	0.603793i	$-0.793655\pi$
$911$	−33.9572	−	46.7381i	−1.12505	−	1.54850i	−0.327911	−	0.944709i	$-0.606345\pi$
$912$	7.59351	+	27.8816i	0.251446	+	0.923253i
$913$	−0.00545776	−	0.0344589i	−0.000180625	−	0.00114042i
$914$	−7.54516	+	13.0996i	−0.249572	+	0.433296i
$915$	9.53022	+	17.7197i	0.315059	+	0.585794i
$916$	−52.5604	+	11.2847i	−1.73665	+	0.372858i
$917$	2.01696	+	1.02769i	0.0666059	+	0.0339374i
$918$	−5.61924	−	2.15042i	−0.185462	−	0.0709743i
$919$	11.5591	+	35.5754i	0.381301	+	1.17352i	0.939128	+	0.343566i	$0.111635\pi$
$919$	11.5591	+	35.5754i	0.381301	+	1.17352i	−0.557828	+	0.829957i	$0.688365\pi$
$920$	0.937879	+	37.0768i	0.0309209	+	1.22239i
$921$	−3.13893	+	9.66064i	−0.103431	+	0.318329i
$922$	−24.1541	+	29.8905i	−0.795474	+	0.984390i
$923$	−3.12886	+	19.7549i	−0.102988	+	0.650239i
$924$	0.00589586	−	0.00657508i	0.000193960	−	0.000216304i
$925$	−16.0315	−	28.2829i	−0.527111	−	0.929935i
$926$	39.6439	−	17.6993i	1.30278	−	0.581635i
$927$	10.6927	+	1.69356i	0.351194	+	0.0556237i
$928$	10.3642	−	16.1400i	0.340222	−	0.529820i
$929$	8.87951	+	2.88513i	0.291327	+	0.0946580i	0.451035	−	0.892506i	$-0.351055\pi$
$929$	8.87951	+	2.88513i	0.291327	+	0.0946580i	−0.159707	+	0.987164i	$0.551055\pi$
$930$	6.17622	+	13.0473i	0.202526	+	0.427837i
$931$	−46.5213	+	15.1157i	−1.52467	+	0.495397i
$932$	2.35568	+	43.2525i	0.0771630	+	1.41678i
$933$	−10.7056	+	21.0110i	−0.350487	+	0.687869i
$934$	−3.44545	+	16.2917i	−0.112739	+	0.533079i
$935$	−0.0381017	+	0.0790735i	−0.00124606	+	0.00258598i
$936$	−7.64271	+	2.50927i	−0.249810	+	0.0820182i
$937$	−23.3504	+	3.69834i	−0.762825	+	0.120820i	−0.525712	−	0.850663i	$-0.676201\pi$
$937$	−23.3504	+	3.69834i	−0.762825	+	0.120820i	−0.237113	+	0.971482i	$0.576201\pi$
$938$	5.74199	−	3.73726i	0.187483	−	0.122026i
$939$	11.0141	−	8.00222i	0.359432	−	0.261142i
$940$	18.1804	−	7.48982i	0.592979	−	0.244291i
$941$	14.7926	+	10.7475i	0.482226	+	0.350358i	0.802187	−	0.597073i	$-0.203670\pi$
$941$	14.7926	+	10.7475i	0.482226	+	0.350358i	−0.319961	+	0.947431i	$0.603670\pi$
$942$	−7.43204	−	0.381859i	−0.242149	−	0.0124416i
$943$	−29.2582	+	29.2582i	−0.952777	+	0.952777i
$944$	9.21105	−	4.14636i	0.299794	−	0.134952i
$945$	−0.0237715	−	1.06987i	−0.000773286	−	0.0348029i
$946$	0.119070	−	0.0126382i	0.00387130	−	0.000410902i
$947$	−14.5607	+	7.41904i	−0.473159	+	0.241086i	−0.674274	−	0.738481i	$-0.735543\pi$
$947$	−14.5607	+	7.41904i	−0.473159	+	0.241086i	0.201115	+	0.979568i	$0.435543\pi$
$948$	3.67063	−	2.98490i	0.119217	−	0.0969450i
$949$			8.39269i			0.272438i
$950$	30.3107	−	41.1191i	0.983410	−	1.33408i
$951$		−	17.2545i		−	0.559516i
$952$	5.13922	+	2.59869i	0.166563	+	0.0842241i
$953$	6.96002	−	3.54631i	0.225457	−	0.114876i	−0.337614	−	0.941285i	$-0.609620\pi$
$953$	6.96002	−	3.54631i	0.225457	−	0.114876i	0.563071	+	0.826409i	$0.309620\pi$
$954$	−0.101322	−	0.954599i	−0.00328041	−	0.0309063i
$955$	48.5810	−	16.9870i	1.57205	−	0.549686i
$956$	−8.98788	+	20.2990i	−0.290689	+	0.656516i
$957$	−0.0221221	+	0.0221221i	−0.000715107	+	0.000715107i
$958$	−2.18862	+	42.5967i	−0.0707112	+	1.37624i
$959$	−0.990514	−	0.719650i	−0.0319854	−	0.0232387i
$960$	−17.7406	−	2.29617i	−0.572574	−	0.0741084i
$961$	−8.22144	+	5.97323i	−0.265208	+	0.192685i
$962$	−14.2657	−	21.9181i	−0.459945	−	0.706667i
$963$	−5.55099	+	0.879190i	−0.178878	+	0.0283315i
$964$	2.50890	+	0.258497i	0.0808062	+	0.00832564i
$965$	9.30496	+	51.3402i	0.299537	+	1.65270i
$966$	−3.88310	−	0.821220i	−0.124937	−	0.0264223i
$967$	15.6133	−	30.6429i	0.502091	−	0.985408i	−0.491340	−	0.870968i	$-0.663493\pi$
$967$	15.6133	−	30.6429i	0.502091	−	0.985408i	0.993430	−	0.114440i	$-0.0365074\pi$
$968$	−14.2099	−	27.6778i	−0.456725	−	0.889599i
$969$	29.2309	−	9.49768i	0.939031	−	0.305110i
$970$	−7.22382	−	56.1452i	−0.231943	−	1.80271i
$971$	33.0263	+	10.7309i	1.05986	+	0.344371i	0.786532	−	0.617549i	$-0.211874\pi$
$971$	33.0263	+	10.7309i	1.05986	+	0.344371i	0.273332	+	0.961920i	$0.411874\pi$
$972$	−0.513677	+	1.93291i	−0.0164762	+	0.0619981i
$973$	−5.31978	−	0.842570i	−0.170544	−	0.0270115i
$974$	11.1856	+	25.0541i	0.358410	+	0.802786i
$975$	11.8642	+	7.83914i	0.379958	+	0.251053i
$976$	3.90887	+	35.7787i	0.125120	+	1.14525i
$977$	1.13937	−	7.19369i	0.0364516	−	0.230147i	−0.962736	−	0.270442i	$-0.912830\pi$
$977$	1.13937	−	7.19369i	0.0364516	−	0.230147i	0.999188	+	0.0402958i	$0.0128300\pi$
$978$	20.3261	+	16.4253i	0.649957	+	0.525223i
$979$	−0.0439128	+	0.135150i	−0.00140346	+	0.00431940i
$980$	2.43359	−	30.1827i	0.0777382	−	0.964151i
$981$	4.84453	+	14.9099i	0.154674	+	0.476038i
$982$	1.09559	−	2.86286i	0.0349615	−	0.0913577i
$983$	−31.7358	−	16.1702i	−1.01221	−	0.515749i	−0.132465	−	0.991188i	$-0.542289\pi$
$983$	−31.7358	−	16.1702i	−1.01221	−	0.515749i	−0.879749	+	0.475439i	$0.842289\pi$
$984$	−11.7800	−	16.1094i	−0.375534	−	0.513550i
$985$	2.18828	−	16.1273i	0.0697245	−	0.513860i
$986$	−17.6783	−	10.1824i	−0.562992	−	0.324275i
$987$	0.329167	+	2.07828i	0.0104775	+	0.0661523i
$988$	22.3096	−	34.5085i	0.709764	−	1.09786i
$989$	−31.6305	−	43.5357i	−1.00579	−	1.38435i
$990$	0.0274749	+	0.00982035i	0.000873209	+	0.000312111i
$991$	1.17484	−	1.61702i	0.0373199	−	0.0513664i	−0.789949	−	0.613172i	$-0.789893\pi$
$991$	1.17484	−	1.61702i	0.0373199	−	0.0513664i	0.827269	+	0.561806i	$0.189893\pi$
$992$	1.48359	+	25.7800i	0.0471039	+	0.818515i
$993$	15.4804	+	15.4804i	0.491255	+	0.491255i
$994$	−3.18856	−	3.53397i	−0.101135	−	0.112091i
$995$	34.1671	+	23.6824i	1.08317	+	0.750782i
$996$	−3.79470	−	6.54160i	−0.120240	−	0.207279i
$997$	−16.0795	−	31.5579i	−0.509244	−	0.999447i	−0.992300	−	0.123858i	$-0.960473\pi$
$997$	−16.0795	−	31.5579i	−0.509244	−	0.999447i	0.483056	−	0.875589i	$-0.339527\pi$
$998$	19.0343	−	5.12115i	0.602521	−	0.162107i
$999$	−6.50209			−0.205717

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.223.28	yes	240
3.2	odd	2		900.2.bj.f.523.3		240
4.3	odd	2	inner	300.2.w.a.223.6	yes	240
12.11	even	2		900.2.bj.f.523.25		240
25.12	odd	20	inner	300.2.w.a.187.6	✓	240
75.62	even	20		900.2.bj.f.487.25		240
100.87	even	20	inner	300.2.w.a.187.28	yes	240
300.287	odd	20		900.2.bj.f.487.3		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.187.6	✓	240	25.12	odd	20	inner
300.2.w.a.187.28	yes	240	100.87	even	20	inner
300.2.w.a.223.6	yes	240	4.3	odd	2	inner
300.2.w.a.223.28	yes	240	1.1	even	1	trivial
900.2.bj.f.487.3		240	300.287	odd	20
900.2.bj.f.487.25		240	75.62	even	20
900.2.bj.f.523.3		240	3.2	odd	2
900.2.bj.f.523.25		240	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.36565 - 0.367425i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(1.73000 - 1.00355i) q^{4} +(1.83777 + 1.27382i) q^{5} +(-0.947370 - 1.05000i) q^{6} +(-0.338407 - 0.338407i) q^{7} +(1.99384 - 2.00614i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(2.97778 + 1.06435i) q^{10} +(-0.00542328 - 0.00746451i) q^{11} +(-1.67957 - 1.08584i) q^{12} +(0.444902 + 2.80900i) q^{13} +(-0.586484 - 0.337806i) q^{14} +(0.300652 - 2.21576i) q^{15} +(1.98578 - 3.47227i) q^{16} +(-3.79071 - 1.93146i) q^{17} +(-0.505455 + 1.32080i) q^{18} +(-2.23243 - 6.87071i) q^{19} +(4.45767 + 0.359416i) q^{20} +(-0.147889 + 0.455156i) q^{21} +(-0.0101489 - 0.00820125i) q^{22} +(-0.917368 + 5.79204i) q^{23} +(-2.69267 - 0.865757i) q^{24} +(1.75477 + 4.68196i) q^{25} +(1.63968 + 3.67265i) q^{26} +(0.987688 + 0.156434i) q^{27} +(-0.925050 - 0.245835i) q^{28} +(3.22482 + 1.04781i) q^{29} +(-0.403542 - 3.13642i) q^{30} +(-4.34142 + 1.41061i) q^{31} +(1.43608 - 5.47153i) q^{32} +(-0.00418881 + 0.00822099i) q^{33} +(-5.88645 - 1.24490i) q^{34} +(-0.190844 - 1.05298i) q^{35} +(-0.204979 + 1.98947i) q^{36} +(-6.42204 + 1.01715i) q^{37} +(-5.57319 - 8.56273i) q^{38} +(2.30086 - 1.67167i) q^{39} +(6.21967 - 1.14702i) q^{40} +(5.70832 + 4.14734i) q^{41} +(-0.0347289 + 0.675922i) q^{42} +(-6.48875 + 6.48875i) q^{43} +(-0.0168733 - 0.00747105i) q^{44} +(-2.11075 + 0.738052i) q^{45} +(0.875337 + 8.24696i) q^{46} +(3.91751 - 1.99607i) q^{47} +(-3.99534 - 0.192966i) q^{48} -6.77096i q^{49} +(4.11667 + 5.74917i) q^{50} +4.25442i q^{51} +(3.58865 + 4.41309i) q^{52} +(-0.604811 + 0.308167i) q^{53} +(1.40631 - 0.149267i) q^{54} +(-0.000458296 - 0.0206263i) q^{55} +(-1.35362 + 0.00416215i) q^{56} +(-5.10835 + 5.10835i) q^{57} +(4.78896 + 0.246057i) q^{58} +(2.04303 + 1.48435i) q^{59} +(-1.70350 - 4.13498i) q^{60} +(-7.27946 + 5.28884i) q^{61} +(-5.41056 + 3.52155i) q^{62} +(0.472687 - 0.0748663i) q^{63} +(-0.0491968 - 7.99985i) q^{64} +(-2.76053 + 5.72902i) q^{65} +(-0.00269984 + 0.0127661i) q^{66} +(-4.59556 + 9.01929i) q^{67} +(-8.49624 + 0.462735i) q^{68} +(5.57722 - 1.81215i) q^{69} +(-0.647517 - 1.36788i) q^{70} +(6.68849 + 2.17322i) q^{71} +(0.451051 + 2.79223i) q^{72} +(2.91467 + 0.461638i) q^{73} +(-8.39652 + 3.74869i) q^{74} +(3.37501 - 3.68908i) q^{75} +(-10.7572 - 9.64596i) q^{76} +(-0.000690764 + 0.00436131i) q^{77} +(2.52795 - 3.12831i) q^{78} +(-0.730993 + 2.24976i) q^{79} +(8.07245 - 3.85170i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(9.31941 + 3.56643i) q^{82} +(3.36914 + 1.71666i) q^{83} +(0.200923 + 0.935832i) q^{84} +(-4.50611 - 8.37826i) q^{85} +(-6.47723 + 11.2455i) q^{86} +(-0.530434 - 3.34903i) q^{87} +(-0.0257880 - 0.00400318i) q^{88} +(-9.05282 - 12.4601i) q^{89} +(-2.61137 + 1.78346i) q^{90} +(0.800028 - 1.10114i) q^{91} +(4.22554 + 10.9408i) q^{92} +(3.22783 + 3.22783i) q^{93} +(4.61654 - 4.16533i) q^{94} +(4.64936 - 15.4705i) q^{95} +(-5.52714 + 1.20447i) q^{96} +(-8.12690 - 15.9499i) q^{97} +(-2.48782 - 9.24676i) q^{98} +0.00922664 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44}+ \cdots + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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