LMFDB - Embedded newform 124.2.p.a.55.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [124,2,Mod(3,124)] 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("124.3"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(124, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([15, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 124 = 2^{2} \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	124.p (of order $30$, 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:	$0.990144985064$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			55.4
Character	$\chi$	$=$	124.55
Dual form			124.2.p.a.115.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.894038 + 1.09576i) q^{2} +(3.00083 - 0.637845i) q^{3} +(-0.401393 - 1.95931i) q^{4} +(-1.91049 + 3.30907i) q^{5} +(-1.98392 + 3.85845i) q^{6} +(-0.138213 + 0.310431i) q^{7} +(2.50580 + 1.31186i) q^{8} +(5.85747 - 2.60791i) q^{9} +(-1.91790 - 5.05187i) q^{10} +(-0.0721963 - 0.686902i) q^{11} +(-2.45424 - 5.62351i) q^{12} +(2.99094 - 2.69305i) q^{13} +(-0.216591 - 0.428986i) q^{14} +(-3.62237 + 11.1485i) q^{15} +(-3.67777 + 1.57290i) q^{16} +(-3.78912 - 0.398253i) q^{17} +(-2.37914 + 8.74997i) q^{18} +(-2.35953 - 2.12453i) q^{19} +(7.25033 + 2.41500i) q^{20} +(-0.216746 + 1.01971i) q^{21} +(0.817228 + 0.535006i) q^{22} +(-3.13881 - 2.28048i) q^{23} +(8.35622 + 2.33836i) q^{24} +(-4.79994 - 8.31374i) q^{25} +(0.276936 + 5.68505i) q^{26} +(8.46793 - 6.15231i) q^{27} +(0.663708 + 0.146197i) q^{28} +(1.11907 - 0.363608i) q^{29} +(-8.97760 - 13.9365i) q^{30} +(-4.61999 + 3.10735i) q^{31} +(1.56454 - 5.43620i) q^{32} +(-0.654785 - 2.01522i) q^{33} +(3.82401 - 3.79593i) q^{34} +(-0.763183 - 1.05043i) q^{35} +(-7.46085 - 10.4298i) q^{36} +(-2.02841 + 1.17110i) q^{37} +(4.43748 - 0.686074i) q^{38} +(7.25754 - 9.98914i) q^{39} +(-9.12834 + 5.78554i) q^{40} +(3.99073 + 0.848255i) q^{41} +(-0.923580 - 1.14916i) q^{42} +(0.595076 - 0.660899i) q^{43} +(-1.31687 + 0.417172i) q^{44} +(-2.56088 + 24.3651i) q^{45} +(5.30508 - 1.40056i) q^{46} +(2.48414 + 0.807148i) q^{47} +(-10.0331 + 7.06585i) q^{48} +(4.60665 + 5.11620i) q^{49} +(13.4012 + 2.17320i) q^{50} +(-11.6245 + 1.22179i) q^{51} +(-6.47706 - 4.77920i) q^{52} +(-3.07715 - 6.91139i) q^{53} +(-0.829176 + 14.7792i) q^{54} +(2.41093 + 1.07342i) q^{55} +(-0.753577 + 0.596561i) q^{56} +(-8.43564 - 4.87032i) q^{57} +(-0.602064 + 1.55132i) q^{58} +(1.17268 + 5.51702i) q^{59} +(23.2974 + 2.62241i) q^{60} -4.62177i q^{61} +(0.725527 - 7.84051i) q^{62} +2.17879i q^{63} +(4.55803 + 6.57453i) q^{64} +(3.19733 + 15.0423i) q^{65} +(2.79361 + 1.08420i) q^{66} +(12.3601 + 7.13608i) q^{67} +(0.740626 + 7.58391i) q^{68} +(-10.8736 - 4.84124i) q^{69} +(1.83334 + 0.102858i) q^{70} +(1.16321 + 2.61261i) q^{71} +(18.0989 + 1.14930i) q^{72} +(-3.58133 + 0.376413i) q^{73} +(0.530223 - 3.26966i) q^{74} +(-19.7067 - 21.8865i) q^{75} +(-3.21550 + 5.47581i) q^{76} +(0.223214 + 0.0725267i) q^{77} +(4.45722 + 16.8832i) q^{78} +(-0.127993 + 1.21777i) q^{79} +(1.82150 - 15.1750i) q^{80} +(8.61557 - 9.56856i) q^{81} +(-4.49735 + 3.61452i) q^{82} +(-10.9054 - 2.31801i) q^{83} +(2.08492 + 0.0153680i) q^{84} +(8.55692 - 11.7776i) q^{85} +(0.192168 + 1.24293i) q^{86} +(3.12621 - 1.80492i) q^{87} +(0.720212 - 1.81595i) q^{88} +(-1.21870 - 1.67740i) q^{89} +(-24.4089 - 24.5895i) q^{90} +(0.422622 + 1.30070i) q^{91} +(-3.20826 + 7.06526i) q^{92} +(-11.8818 + 12.2715i) q^{93} +(-3.10536 + 2.00041i) q^{94} +(11.5380 - 3.74894i) q^{95} +(1.22745 - 17.3110i) q^{96} +(-4.16302 + 3.02461i) q^{97} +(-9.72466 + 0.473717i) q^{98} +(-2.21427 - 3.83523i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 6 q^{2} - 10 q^{4} - 8 q^{5} - 33 q^{6} - 9 q^{8} - 8 q^{9} + 4 q^{10} - 31 q^{12} - 2 q^{13} - 16 q^{14} - 18 q^{16} - 14 q^{17} - q^{18} + 29 q^{20} + 6 q^{21} - 23 q^{22} - 16 q^{24} - 24 q^{25}+ \cdots + 20 q^{98}+O(q^{100}) $ 112 * q - 6 * q^2 - 10 * q^4 - 8 * q^5 - 33 * q^6 - 9 * q^8 - 8 * q^9 + 4 * q^10 - 31 * q^12 - 2 * q^13 - 16 * q^14 - 18 * q^16 - 14 * q^17 - q^18 + 29 * q^20 + 6 * q^21 - 23 * q^22 - 16 * q^24 - 24 * q^25 + 9 * q^26 - 16 * q^28 - 20 * q^29 - 26 * q^32 - 32 * q^33 - 30 * q^34 - 5 * q^36 - 12 * q^37 - 6 * q^38 + 25 * q^40 - 18 * q^41 + 37 * q^42 + 59 * q^44 - 54 * q^45 + 30 * q^46 - 28 * q^48 - 68 * q^49 + 47 * q^50 - 5 * q^52 - 38 * q^53 + 110 * q^54 - 14 * q^56 - 60 * q^57 + 15 * q^58 + 155 * q^60 + 19 * q^62 + 95 * q^64 + 36 * q^65 + 74 * q^66 + 174 * q^68 + 64 * q^70 + 21 * q^72 - 50 * q^73 + 55 * q^74 + 46 * q^76 - 20 * q^77 + 41 * q^78 - 26 * q^80 - 14 * q^81 - 102 * q^82 - 8 * q^84 + 30 * q^85 - 30 * q^86 - 87 * q^88 - 40 * q^89 + 21 * q^90 - 102 * q^93 + 72 * q^94 + 30 * q^96 + 20 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/124\mathbb{Z}\right)^\times$.

$n$	$63$	$65$
$\chi(n)$	$-1$	$e\left(\frac{13}{30}\right)$

Coefficient data

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

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

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

$2$	−0.894038	+	1.09576i	−0.632180	+	0.774821i
$2$	−0.894038	+	1.09576i	−0.632180	+	0.774821i
$3$	3.00083	−	0.637845i	1.73253	−	0.368260i	0.769706	−	0.638399i	$-0.220403\pi$
$3$	3.00083	−	0.637845i	1.73253	−	0.368260i	0.962821	+	0.270139i	$0.0870695\pi$
$4$	−0.401393	−	1.95931i	−0.200696	−	0.979654i
$5$	−1.91049	+	3.30907i	−0.854397	+	1.47986i	0.0228063	+	0.999740i	$0.492740\pi$
$5$	−1.91049	+	3.30907i	−0.854397	+	1.47986i	−0.877203	+	0.480119i	$0.840593\pi$
$6$	−1.98392	+	3.85845i	−0.809934	+	1.57521i
$7$	−0.138213	+	0.310431i	−0.0522396	+	0.117332i	−0.937780	−	0.347231i	$-0.887122\pi$
$7$	−0.138213	+	0.310431i	−0.0522396	+	0.117332i	0.885540	+	0.464563i	$0.153789\pi$
$8$	2.50580	+	1.31186i	0.885933	+	0.463814i
$9$	5.85747	−	2.60791i	1.95249	−	0.869304i
$10$	−1.91790	−	5.05187i	−0.606493	−	1.59754i
$11$	−0.0721963	−	0.686902i	−0.0217680	−	0.207109i	0.978232	−	0.207515i	$-0.0665375\pi$
$11$	−0.0721963	−	0.686902i	−0.0217680	−	0.207109i	−1.00000		0.000405919i	$0.999871\pi$
$12$	−2.45424	−	5.62351i	−0.708479	−	1.62337i
$13$	2.99094	−	2.69305i	0.829538	−	0.746919i	−0.140446	−	0.990088i	$-0.544854\pi$
$13$	2.99094	−	2.69305i	0.829538	−	0.746919i	0.969984	+	0.243169i	$0.0781870\pi$
$14$	−0.216591	−	0.428986i	−0.0578865	−	0.114651i
$15$	−3.62237	+	11.1485i	−0.935293	+	2.87854i
$16$	−3.67777	+	1.57290i	−0.919442	+	0.393226i
$17$	−3.78912	−	0.398253i	−0.918997	−	0.0965905i	−0.366796	−	0.930301i	$-0.619545\pi$
$17$	−3.78912	−	0.398253i	−0.918997	−	0.0965905i	−0.552201	+	0.833711i	$0.686212\pi$
$18$	−2.37914	+	8.74997i	−0.560770	+	2.06239i
$19$	−2.35953	−	2.12453i	−0.541312	−	0.487400i	0.352518	−	0.935805i	$-0.385326\pi$
$19$	−2.35953	−	2.12453i	−0.541312	−	0.487400i	−0.893830	+	0.448405i	$0.851992\pi$
$20$	7.25033	+	2.41500i	1.62122	+	0.540011i
$21$	−0.216746	+	1.01971i	−0.0472978	+	0.222519i
$22$	0.817228	+	0.535006i	0.174234	+	0.114064i
$23$	−3.13881	−	2.28048i	−0.654487	−	0.475512i	0.210310	−	0.977635i	$-0.432553\pi$
$23$	−3.13881	−	2.28048i	−0.654487	−	0.475512i	−0.864797	+	0.502122i	$0.832553\pi$
$24$	8.35622	+	2.33836i	1.70571	+	0.477316i
$25$	−4.79994	−	8.31374i	−0.959988	−	1.66275i
$26$	0.276936	+	5.68505i	0.0543115	+	1.11493i
$27$	8.46793	−	6.15231i	1.62965	−	1.18401i
$28$	0.663708	+	0.146197i	0.125429	+	0.0276286i
$29$	1.11907	−	0.363608i	0.207806	−	0.0675204i	−0.203264	−	0.979124i	$-0.565155\pi$
$29$	1.11907	−	0.363608i	0.207806	−	0.0675204i	0.411071	+	0.911604i	$0.365155\pi$
$30$	−8.97760	−	13.9365i	−1.63908	−	2.54444i
$31$	−4.61999	+	3.10735i	−0.829776	+	0.558097i
$31$	−4.61999	+	3.10735i	−0.829776	+	0.558097i
$32$	1.56454	−	5.43620i	0.276573	−	0.960993i
$33$	−0.654785	−	2.01522i	−0.113984	−	0.350805i
$34$	3.82401	−	3.79593i	0.655812	−	0.650996i
$35$	−0.763183	−	1.05043i	−0.129001	−	0.177555i
$36$	−7.46085	−	10.4298i	−1.24347	−	1.73830i
$37$	−2.02841	+	1.17110i	−0.333468	+	0.192528i	−0.657380	−	0.753559i	$-0.728335\pi$
$37$	−2.02841	+	1.17110i	−0.333468	+	0.192528i	0.323912	+	0.946087i	$0.395002\pi$
$38$	4.43748	−	0.686074i	0.719855	−	0.111296i
$39$	7.25754	−	9.98914i	1.16214	−	1.59954i
$40$	−9.12834	+	5.78554i	−1.44332	+	0.914774i
$41$	3.99073	+	0.848255i	0.623247	+	0.132475i	0.508702	−	0.860943i	$-0.330126\pi$
$41$	3.99073	+	0.848255i	0.623247	+	0.132475i	0.114545	+	0.993418i	$0.463459\pi$
$42$	−0.923580	−	1.14916i	−0.142511	−	0.177319i
$43$	0.595076	−	0.660899i	0.0907483	−	0.100786i	−0.696060	−	0.717983i	$-0.745065\pi$
$43$	0.595076	−	0.660899i	0.0907483	−	0.100786i	0.786808	+	0.617197i	$0.211732\pi$
$44$	−1.31687	+	0.417172i	−0.198526	+	0.0628910i
$45$	−2.56088	+	24.3651i	−0.381753	+	3.63214i
$46$	5.30508	−	1.40056i	0.782191	−	0.206501i
$47$	2.48414	+	0.807148i	0.362350	+	0.117735i	0.484533	−	0.874773i	$-0.338990\pi$
$47$	2.48414	+	0.807148i	0.362350	+	0.117735i	−0.122183	+	0.992508i	$0.538990\pi$
$48$	−10.0331	+	7.06585i	−1.44815	+	1.01987i
$49$	4.60665	+	5.11620i	0.658093	+	0.730886i
$50$	13.4012	+	2.17320i	1.89522	+	0.307337i
$51$	−11.6245	+	1.22179i	−1.62776	+	0.171084i
$52$	−6.47706	−	4.77920i	−0.898207	−	0.662756i
$53$	−3.07715	−	6.91139i	−0.422679	−	0.949352i	−0.991883	−	0.127156i	$-0.959415\pi$
$53$	−3.07715	−	6.91139i	−0.422679	−	0.949352i	0.569204	−	0.822196i	$-0.307251\pi$
$54$	−0.829176	+	14.7792i	−0.112837	+	2.01120i
$55$	2.41093	+	1.07342i	0.325090	+	0.144739i
$56$	−0.753577	+	0.596561i	−0.100701	+	0.0797188i
$57$	−8.43564	−	4.87032i	−1.11733	−	0.645090i
$58$	−0.602064	+	1.55132i	−0.0790549	+	0.203698i
$59$	1.17268	+	5.51702i	0.152670	+	0.718254i	0.986170	+	0.165736i	$0.0529999\pi$
$59$	1.17268	+	5.51702i	0.152670	+	0.718254i	−0.833501	+	0.552519i	$0.813667\pi$
$60$	23.2974	+	2.62241i	3.00768	+	0.338552i
$61$		−	4.62177i		−	0.591757i	−0.955226	−	0.295878i	$-0.904388\pi$
$61$		−	4.62177i		−	0.591757i	0.955226	−	0.295878i	$-0.0956123\pi$
$62$	0.725527	−	7.84051i	0.0921421	−	0.995746i
$63$			2.17879i			0.274502i
$64$	4.55803	+	6.57453i	0.569753	+	0.821816i
$65$	3.19733	+	15.0423i	0.396580	+	1.86576i
$66$	2.79361	+	1.08420i	0.343869	+	0.133455i
$67$	12.3601	+	7.13608i	1.51002	+	0.871811i	0.999932	+	0.0116902i	$0.00372119\pi$
$67$	12.3601	+	7.13608i	1.51002	+	0.871811i	0.510090	+	0.860121i	$0.329612\pi$
$68$	0.740626	+	7.58391i	0.0898141	+	0.919684i
$69$	−10.8736	−	4.84124i	−1.30903	−	0.582817i
$70$	1.83334	+	0.102858i	0.219126	+	0.0122938i
$71$	1.16321	+	2.61261i	0.138047	+	0.310060i	0.969319	−	0.245807i	$-0.0790530\pi$
$71$	1.16321	+	2.61261i	0.138047	+	0.310060i	−0.831271	+	0.555867i	$0.812386\pi$
$72$	18.0989	+	1.14930i	2.13297	+	0.135446i
$73$	−3.58133	+	0.376413i	−0.419163	+	0.0440558i	−0.311763	−	0.950160i	$-0.600919\pi$
$73$	−3.58133	+	0.376413i	−0.419163	+	0.0440558i	−0.107401	+	0.994216i	$0.534253\pi$
$74$	0.530223	−	3.26966i	0.0616372	−	0.380090i
$75$	−19.7067	−	21.8865i	−2.27553	−	2.52723i
$76$	−3.21550	+	5.47581i	−0.368844	+	0.628118i
$77$	0.223214	+	0.0725267i	0.0254376	+	0.00826518i
$78$	4.45722	+	16.8832i	0.504681	+	1.91165i
$79$	−0.127993	+	1.21777i	−0.0144004	+	0.137010i	−0.999360	−	0.0357751i	$-0.988610\pi$
$79$	−0.127993	+	1.21777i	−0.0144004	+	0.137010i	0.984960	+	0.172785i	$0.0552767\pi$
$80$	1.82150	−	15.1750i	0.203650	−	1.69662i
$81$	8.61557	−	9.56856i	0.957285	−	1.06317i
$82$	−4.49735	+	3.61452i	−0.496649	+	0.399157i
$83$	−10.9054	−	2.31801i	−1.19702	−	0.254434i	−0.434062	−	0.900883i	$-0.642920\pi$
$83$	−10.9054	−	2.31801i	−1.19702	−	0.254434i	−0.762957	+	0.646449i	$0.776253\pi$
$84$	2.08492	+	0.0153680i	0.227484	+	0.00167679i
$85$	8.55692	−	11.7776i	0.928129	−	1.27746i
$86$	0.192168	+	1.24293i	0.0207220	+	0.134029i
$87$	3.12621	−	1.80492i	0.335165	−	0.193508i
$88$	0.720212	−	1.81595i	0.0767749	−	0.193581i
$89$	−1.21870	−	1.67740i	−0.129182	−	0.177804i	0.739526	−	0.673128i	$-0.235050\pi$
$89$	−1.21870	−	1.67740i	−0.129182	−	0.177804i	−0.868709	+	0.495324i	$0.835050\pi$
$90$	−24.4089	−	24.5895i	−2.57292	−	2.59196i
$91$	0.422622	+	1.30070i	0.0443028	+	0.136350i
$92$	−3.20826	+	7.06526i	−0.334484	+	0.736604i
$93$	−11.8818	+	12.2715i	−1.23208	+	1.27249i
$94$	−3.10536	+	2.00041i	−0.320294	+	0.206327i
$95$	11.5380	−	3.74894i	1.18378	−	0.384633i
$96$	1.22745	−	17.3110i	0.125276	−	1.76680i
$97$	−4.16302	+	3.02461i	−0.422691	+	0.307103i	−0.778719	−	0.627372i	$-0.784130\pi$
$97$	−4.16302	+	3.02461i	−0.422691	+	0.307103i	0.356029	+	0.934475i	$0.384130\pi$
$98$	−9.72466	+	0.473717i	−0.982339	+	0.0478526i
$99$	−2.21427	−	3.83523i	−0.222542	−	0.385455i
$100$	−14.3625	+	12.7416i	−1.43625	+	1.27416i
$101$	10.7433	+	7.80545i	1.06900	+	0.776671i	0.975731	−	0.218970i	$-0.0702698\pi$
$101$	10.7433	+	7.80545i	1.06900	+	0.776671i	0.0932643	+	0.995641i	$0.470270\pi$
$102$	9.05397	−	13.8300i	0.896477	−	1.36938i
$103$	−3.84540	+	18.0912i	−0.378899	+	1.78258i	0.213511	+	0.976941i	$0.431510\pi$
$103$	−3.84540	+	18.0912i	−0.378899	+	1.78258i	−0.592410	+	0.805637i	$0.701823\pi$
$104$	11.0276	−	2.82454i	1.08135	−	0.276969i
$105$	−2.96019	−	2.66537i	−0.288885	−	0.260113i
$106$	10.3243	+	2.80722i	1.00279	+	0.272661i
$107$	3.81994	+	0.401492i	0.369288	+	0.0388137i	0.287355	−	0.957824i	$-0.407224\pi$
$107$	3.81994	+	0.401492i	0.369288	+	0.0388137i	0.0819329	+	0.996638i	$0.473891\pi$
$108$	−15.4532	−	14.1218i	−1.48699	−	1.35887i
$109$	3.60778	−	11.1036i	0.345563	−	1.06353i	−0.615719	−	0.787966i	$-0.711134\pi$
$109$	3.60778	−	11.1036i	0.345563	−	1.06353i	0.961282	−	0.275567i	$-0.0888656\pi$
$110$	−3.33168	+	1.68214i	−0.317663	+	0.160385i
$111$	−5.33991	+	4.80808i	−0.506842	+	0.456363i
$112$	0.0200368	−	1.35909i	0.00189330	−	0.128422i
$113$	1.01547	+	9.66153i	0.0955271	+	0.908880i	0.932387	+	0.361462i	$0.117722\pi$
$113$	1.01547	+	9.66153i	0.0955271	+	0.908880i	−0.836860	+	0.547418i	$0.815611\pi$
$114$	12.8785	−	4.88921i	1.20618	−	0.457917i
$115$	13.5429	−	6.02969i	1.26288	−	0.562272i
$116$	−1.16161	−	2.04666i	−0.107853	−	0.190027i
$117$	10.4961	−	23.5746i	0.970364	−	2.17947i
$118$	−7.09376	−	3.64744i	−0.653034	−	0.335774i
$119$	0.647336	−	1.12122i	0.0593412	−	0.102782i
$120$	−23.7023	+	23.1839i	−2.16371	+	2.11639i
$121$	10.2930	−	2.18785i	0.935727	−	0.198895i
$122$	5.06436	+	4.13204i	0.458506	+	0.374097i
$123$	12.5165			1.12858
$124$	7.94269	+	7.80472i	0.713275	+	0.700885i
$125$	17.5761			1.57205
$126$	−2.38744	−	1.94792i	−0.212690	−	0.173534i
$127$	−12.5862	+	2.67529i	−1.11685	+	0.237393i	−0.729124	−	0.684382i	$-0.760072\pi$
$127$	−12.5862	+	2.67529i	−1.11685	+	0.237393i	−0.387724	+	0.921775i	$0.626739\pi$
$128$	−11.2792	−	0.883357i	−0.996947	−	0.0780784i
$129$	1.36417	−	2.36281i	0.120108	−	0.208034i
$130$	−19.3413	−	9.94484i	−1.69634	−	0.872220i
$131$	−3.71770	+	8.35009i	−0.324817	+	0.729551i	−0.999967	−	0.00812959i	$-0.997412\pi$
$131$	−3.71770	+	8.35009i	−0.324817	+	0.729551i	0.675150	+	0.737681i	$0.264079\pi$
$132$	−3.68561	+	2.09182i	−0.320791	+	0.182070i
$133$	0.985636	−	0.438834i	0.0854655	−	0.0380517i
$134$	−18.8698	+	7.16376i	−1.63010	+	0.618855i
$135$	4.18051	+	39.7749i	0.359801	+	3.42328i
$136$	−8.97231	−	5.96875i	−0.769370	−	0.511816i
$137$	−11.4976	+	10.3525i	−0.982308	+	0.884474i	−0.993311	−	0.115466i	$-0.963164\pi$
$137$	−11.4976	+	10.3525i	−0.982308	+	0.884474i	0.0110039	+	0.999939i	$0.496497\pi$
$138$	15.0263	−	7.58664i	1.27912	−	0.645818i
$139$	5.34509	−	16.4505i	0.453365	−	1.39531i	−0.419679	−	0.907672i	$-0.637857\pi$
$139$	5.34509	−	16.4505i	0.453365	−	1.39531i	0.873044	−	0.487641i	$-0.162143\pi$
$140$	−1.75178	+	1.91694i	−0.148053	+	0.162011i
$141$	7.96932	+	0.837609i	0.671138	+	0.0705394i
$142$	−3.90275	−	1.06117i	−0.327512	−	0.0890515i
$143$	−2.06580	−	1.86005i	−0.172751	−	0.155546i
$144$	−17.4404	+	18.8045i	−1.45337	+	1.56704i
$145$	−0.934771	+	4.39775i	−0.0776285	+	0.365213i
$146$	2.78939	−	4.26082i	0.230851	−	0.352628i
$147$	17.0871	+	12.4145i	1.40932	+	1.02393i
$148$	3.10873	+	3.50420i	0.255536	+	0.288043i
$149$	−9.92705	−	17.1942i	−0.813256	−	1.40860i	−0.910573	−	0.413347i	$-0.864360\pi$
$149$	−9.92705	−	17.1942i	−0.813256	−	1.40860i	0.0973175	−	0.995253i	$-0.468974\pi$
$150$	41.6009	−	2.02650i	3.39670	−	0.165463i
$151$	10.8331	−	7.87072i	0.881586	−	0.640510i	−0.0520842	−	0.998643i	$-0.516586\pi$
$151$	10.8331	−	7.87072i	0.881586	−	0.640510i	0.933671	+	0.358133i	$0.116586\pi$
$152$	−3.12540	−	8.41901i	−0.253504	−	0.682872i
$153$	−23.2333	+	7.54895i	−1.87830	+	0.610296i
$154$	−0.279034	+	0.179748i	−0.0224852	+	0.0144845i
$155$	−1.45598	−	21.2244i	−0.116947	−	1.70479i
$156$	−22.4849	−	10.2102i	−1.80023	−	0.817468i
$157$	−0.895054	−	2.75469i	−0.0714331	−	0.219848i	0.908966	−	0.416870i	$-0.136873\pi$
$157$	−0.895054	−	2.75469i	−0.0714331	−	0.219848i	−0.980399	+	0.197022i	$0.936873\pi$
$158$	−1.21996	−	1.22899i	−0.0970548	−	0.0977729i
$159$	−13.6424	−	18.7771i	−1.08191	−	1.48912i
$160$	14.9997	+	15.5629i	1.18583	+	1.23036i
$161$	1.14176	−	0.659193i	0.0899829	−	0.0519517i
$162$	2.78223	+	17.9953i	0.218592	+	1.41384i
$163$	−3.02957	+	4.16985i	−0.237294	+	0.326607i	−0.911011	−	0.412382i	$-0.864697\pi$
$163$	−3.02957	+	4.16985i	−0.237294	+	0.326607i	0.673717	+	0.738990i	$0.264697\pi$
$164$	0.0601442	−	8.15954i	0.00469647	−	0.637153i
$165$	7.91946	+	1.68333i	0.616529	+	0.131047i
$166$	12.2898	−	9.87731i	0.953873	−	0.766628i
$167$	−3.31826	+	3.68530i	−0.256775	+	0.285177i	−0.857725	−	0.514110i	$-0.828122\pi$
$167$	−3.31826	+	3.68530i	−0.256775	+	0.285177i	0.600950	+	0.799287i	$0.294789\pi$
$168$	−1.88084	+	2.27084i	−0.145110	+	0.175199i
$169$	0.334310	−	3.18075i	0.0257162	−	0.244673i
$170$	5.25524	+	19.9060i	0.403058	+	1.52672i
$171$	−19.3614	−	6.29091i	−1.48061	−	0.481078i
$172$	−1.53376	−	0.900657i	−0.116948	−	0.0686745i
$173$	−2.79152	−	3.10030i	−0.212235	−	0.235711i	0.627622	−	0.778518i	$-0.284028\pi$
$173$	−2.79152	−	3.10030i	−0.212235	−	0.235711i	−0.839858	+	0.542807i	$0.817362\pi$
$174$	−0.817189	+	5.03925i	−0.0619509	+	0.382025i
$175$	3.24426	−	0.340985i	0.245243	−	0.0257761i
$176$	1.34595	+	2.41271i	0.101455	+	0.181865i
$177$	7.03800	+	15.8076i	0.529009	+	1.18817i
$178$	2.92760	+	0.164250i	0.219433	+	0.0123111i
$179$	−17.5229	−	7.80169i	−1.30972	−	0.583125i	−0.371266	−	0.928527i	$-0.621076\pi$
$179$	−17.5229	−	7.80169i	−1.30972	−	0.583125i	−0.938455	+	0.345401i	$0.887743\pi$
$180$	48.7667	−	4.76244i	3.63486	−	0.354971i
$181$	−10.4203	−	6.01618i	−0.774537	−	0.447179i	0.0599536	−	0.998201i	$-0.480905\pi$
$181$	−10.4203	−	6.01618i	−0.774537	−	0.447179i	−0.834491	+	0.551022i	$0.814238\pi$
$182$	−1.80309	−	0.699778i	−0.133654	−	0.0518710i
$183$	−2.94797	−	13.8691i	−0.217920	−	1.02523i
$184$	−4.87354	−	9.83210i	−0.359282	−	0.724832i
$185$		−	8.94950i		−	0.657981i
$186$	−2.82385	−	23.9908i	−0.207055	−	1.75909i
$187$			2.63151i			0.192435i
$188$	0.584333	−	5.19119i	0.0426168	−	0.378606i
$189$	0.739493	+	3.47904i	0.0537902	+	0.253063i
$190$	−6.20750	+	15.9947i	−0.450340	+	1.16037i
$191$	0.566143	+	0.326863i	0.0409646	+	0.0236509i	0.520342	−	0.853958i	$-0.325804\pi$
$191$	0.566143	+	0.326863i	0.0409646	+	0.0236509i	−0.479378	+	0.877609i	$0.659138\pi$
$192$	17.8714	+	16.8217i	1.28976	+	1.21400i
$193$	21.0520	+	9.37294i	1.51535	+	0.674679i	0.984914	−	0.173044i	$-0.0553604\pi$
$193$	21.0520	+	9.37294i	1.51535	+	0.674679i	0.530439	+	0.847723i	$0.322027\pi$
$194$	0.407641	−	7.26580i	0.0292669	−	0.521654i
$195$	19.1893	+	43.0998i	1.37417	+	3.08644i
$196$	8.17514	−	11.0794i	0.583938	−	0.791389i
$197$	−15.1380	+	1.59107i	−1.07854	+	0.113359i	−0.627097	−	0.778941i	$-0.715757\pi$
$197$	−15.1380	+	1.59107i	−1.07854	+	0.113359i	−0.451443	+	0.892300i	$0.649090\pi$
$198$	6.18214	+	1.00252i	0.439345	+	0.0712462i
$199$	14.4714	+	16.0721i	1.02585	+	1.13932i	0.990157	+	0.139959i	$0.0446971\pi$
$199$	14.4714	+	16.0721i	1.02585	+	1.13932i	0.0356926	+	0.999363i	$0.488636\pi$
$200$	−1.12118	−	27.1294i	−0.0792793	−	1.91834i
$201$	41.6421	+	13.5303i	2.93721	+	0.954356i
$202$	−18.1578	+	4.79372i	−1.27758	+	0.337285i
$203$	−0.0417947	+	0.397650i	−0.00293341	+	0.0279096i
$204$	7.05985	+	22.2856i	0.494288	+	1.56030i
$205$	−10.4312	+	11.5850i	−0.728545	+	0.809131i
$206$	−16.3857	−	20.3879i	−1.14165	−	1.42049i
$207$	−24.3328	−	5.17209i	−1.69124	−	0.359485i
$208$	−6.76407	+	14.6089i	−0.469004	+	1.01294i
$209$	−1.28899	+	1.77415i	−0.0891615	+	0.122720i
$210$	5.56713	−	0.860727i	0.384169	−	0.0593958i
$211$	17.6858	−	10.2109i	1.21754	−	0.702948i	0.253151	−	0.967427i	$-0.418533\pi$
$211$	17.6858	−	10.2109i	1.21754	−	0.702948i	0.964392	+	0.264479i	$0.0851998\pi$
$212$	−12.3064	+	8.80326i	−0.845206	+	0.604610i
$213$	5.15703	+	7.09804i	0.353354	+	0.486349i
$214$	−3.85512	+	3.82680i	−0.263530	+	0.261595i
$215$	1.05007	+	3.23179i	0.0716143	+	0.220406i
$216$	29.2899	−	4.30767i	1.99293	−	0.293100i
$217$	−0.326077	−	1.86367i	−0.0221355	−	0.126514i
$218$	8.94143	+	13.8803i	0.605590	+	0.940094i
$219$	−10.5069	+	3.41389i	−0.709988	+	0.230689i
$220$	1.13542	−	5.15462i	0.0765501	−	0.347524i
$221$	−12.4056	+	9.01316i	−0.834488	+	0.606291i
$222$	−0.494430	−	10.1499i	−0.0331840	−	0.681215i
$223$	−11.7792	−	20.4022i	−0.788796	−	1.36623i	−0.926705	−	0.375790i	$-0.877371\pi$
$223$	−11.7792	−	20.4022i	−0.788796	−	1.36623i	0.137909	−	0.990445i	$-0.455962\pi$
$224$	1.47133	+	1.23703i	0.0983071	+	0.0826527i
$225$	−49.7970	−	36.1797i	−3.31980	−	2.41198i
$226$	−11.4946	−	7.52506i	−0.764610	−	0.500559i
$227$	2.34949	−	11.0535i	0.155941	−	0.733645i	−0.828790	−	0.559560i	$-0.810970\pi$
$227$	2.34949	−	11.0535i	0.155941	−	0.733645i	0.984731	−	0.174084i	$-0.0556966\pi$
$228$	−6.15645	+	18.4829i	−0.407721	+	1.22406i
$229$	13.0498	+	11.7501i	0.862355	+	0.776468i	0.976164	−	0.217035i	$-0.0696385\pi$
$229$	13.0498	+	11.7501i	0.862355	+	0.776468i	−0.113809	+	0.993503i	$0.536305\pi$
$230$	−5.50076	+	20.2306i	−0.362709	+	1.33397i
$231$	0.716088	+	0.0752638i	0.0471151	+	0.00495200i
$232$	3.28117	+	0.556941i	0.215419	+	0.0365650i
$233$	4.24322	−	13.0593i	0.277982	−	0.855542i	−0.710432	−	0.703766i	$-0.751501\pi$
$233$	4.24322	−	13.0593i	0.277982	−	0.855542i	0.988415	−	0.151777i	$-0.0484994\pi$
$234$	16.4483	+	32.5778i	1.07526	+	2.12968i
$235$	−7.41684	+	6.67815i	−0.483821	+	0.435634i
$236$	10.3388	−	4.51213i	0.673000	−	0.293714i
$237$	0.392666	+	3.73597i	0.0255064	+	0.242677i
$238$	0.649847	+	1.71174i	0.0421233	+	0.110955i
$239$	22.1751	−	9.87300i	1.43439	−	0.638631i	0.465258	−	0.885175i	$-0.345962\pi$
$239$	22.1751	−	9.87300i	1.43439	−	0.638631i	0.969132	+	0.246544i	$0.0792950\pi$
$240$	−4.21329	−	46.6993i	−0.271967	−	3.01443i
$241$	−11.9035	+	26.7358i	−0.766773	+	1.72220i	−0.0783110	+	0.996929i	$0.524953\pi$
$241$	−11.9035	+	26.7358i	−0.766773	+	1.72220i	−0.688462	+	0.725272i	$0.741714\pi$
$242$	−6.80497	+	13.2347i	−0.437440	+	0.850759i
$243$	4.05015	−	7.01507i	0.259817	−	0.450017i
$244$	−9.05546	+	1.85514i	−0.579717	+	0.118763i
$245$	−25.7308	+	5.46925i	−1.64388	+	0.349418i
$246$	−11.1903	+	13.7151i	−0.713464	+	0.874446i
$247$	−12.7787			−0.813087
$248$	−15.6532	+	1.72559i	−0.993979	+	0.109575i
$249$	−34.2036			−2.16757
$250$	−15.7137	+	19.2592i	−0.993819	+	1.21806i
$251$	17.0375	−	3.62142i	1.07539	−	0.228582i	0.364017	−	0.931392i	$-0.381405\pi$
$251$	17.0375	−	3.62142i	1.07539	−	0.228582i	0.711378	+	0.702810i	$0.248072\pi$
$252$	4.26892	−	0.874550i	0.268916	−	0.0550914i
$253$	−1.33985	+	2.32070i	−0.0842359	+	0.145901i
$254$	8.32109	−	16.1833i	0.522112	−	1.01543i
$255$	18.1656	−	40.8005i	1.13757	−	2.55503i
$256$	11.0520	−	11.5695i	0.690747	−	0.723096i
$257$	−4.72220	+	2.10246i	−0.294563	+	0.131148i	−0.548697	−	0.836021i	$-0.684876\pi$
$257$	−4.72220	+	2.10246i	−0.294563	+	0.131148i	0.254135	+	0.967169i	$0.418209\pi$
$258$	1.36946	+	3.60725i	0.0852589	+	0.224577i
$259$	−0.0831944	−	0.791542i	−0.00516945	−	0.0491840i
$260$	28.1890	−	12.3024i	1.74821	−	0.762963i
$261$	5.60667	−	5.04827i	0.347044	−	0.312480i
$262$	−5.82596	−	11.5390i	−0.359929	−	0.712883i
$263$	−2.72984	+	8.40157i	−0.168329	+	0.518063i	−0.999266	−	0.0383030i	$-0.987805\pi$
$263$	−2.72984	+	8.40157i	−0.168329	+	0.518063i	0.830937	+	0.556366i	$0.187805\pi$
$264$	1.00294	−	5.90873i	0.0617266	−	0.363657i
$265$	28.7491	+	3.02165i	1.76604	+	0.185619i
$266$	−0.400339	+	1.47236i	−0.0245463	+	0.0902760i
$267$	−4.72703	−	4.25624i	−0.289290	−	0.260478i
$268$	9.02054	−	27.0815i	0.551017	−	1.65427i
$269$	4.02779	−	18.9492i	0.245578	−	1.15536i	−0.666553	−	0.745458i	$-0.732231\pi$
$269$	4.02779	−	18.9492i	0.245578	−	1.15536i	0.912131	−	0.409898i	$-0.134436\pi$
$270$	−47.3214	−	30.9794i	−2.87989	−	1.88535i
$271$	1.42945	+	1.03856i	0.0868331	+	0.0630879i	0.630355	−	0.776307i	$-0.282909\pi$
$271$	1.42945	+	1.03856i	0.0868331	+	0.0630879i	−0.543522	+	0.839395i	$0.682909\pi$
$272$	14.5619	−	4.49524i	0.882946	−	0.272564i
$273$	2.09786	+	3.63359i	0.126968	+	0.219915i
$274$	−1.06458	−	21.8542i	−0.0643137	−	1.32026i
$275$	−5.36419	+	3.89731i	−0.323473	+	0.235017i
$276$	−5.12089	+	23.2480i	−0.308242	+	1.39936i
$277$	10.9656	−	3.56295i	0.658861	−	0.214077i	0.0395440	−	0.999218i	$-0.487409\pi$
$277$	10.9656	−	3.56295i	0.658861	−	0.214077i	0.619317	+	0.785141i	$0.287409\pi$
$278$	13.2471	+	20.5643i	0.794510	+	1.23337i
$279$	−18.9578	+	30.2498i	−1.13497	+	1.81101i
$280$	−0.534358	−	3.63336i	−0.0319340	−	0.217135i
$281$	−8.15190	−	25.0890i	−0.486302	−	1.49668i	−0.830087	−	0.557634i	$-0.811709\pi$
$281$	−8.15190	−	25.0890i	−0.486302	−	1.49668i	0.343785	−	0.939048i	$-0.388291\pi$
$282$	−8.04269	+	7.98363i	−0.478935	+	0.475418i
$283$	4.42696	+	6.09319i	0.263155	+	0.362202i	0.920064	−	0.391768i	$-0.128136\pi$
$283$	4.42696	+	6.09319i	0.263155	+	0.362202i	−0.656909	+	0.753970i	$0.728136\pi$
$284$	4.65200	−	3.32776i	0.276045	−	0.197467i
$285$	32.2324	−	18.6094i	1.90928	−	1.10233i
$286$	3.88508	−	0.600667i	0.229730	−	0.0355182i
$287$	−0.814895	+	1.12161i	−0.0481017	+	0.0662063i
$288$	−5.01291	−	35.9225i	−0.295389	−	2.11676i
$289$	−2.42967	−	0.516442i	−0.142922	−	0.0303789i
$290$	−3.98317	−	4.95604i	−0.233900	−	0.291029i
$291$	−10.5633	+	11.7317i	−0.619229	+	0.687724i
$292$	2.17503	+	6.86584i	0.127284	+	0.401793i
$293$	0.546097	−	5.19576i	0.0319033	−	0.303540i	−0.966922	−	0.255074i	$-0.917900\pi$
$293$	0.546097	−	5.19576i	0.0319033	−	0.303540i	0.998825	−	0.0484658i	$-0.0154332\pi$
$294$	−28.8799	+	7.62437i	−1.68431	+	0.444662i
$295$	−20.4966	−	6.65974i	−1.19336	−	0.387745i
$296$	−6.61910	+	0.273548i	−0.384727	+	0.0158996i
$297$	−4.83739	−	5.37246i	−0.280694	−	0.311742i
$298$	27.7159	+	4.49453i	1.60554	+	0.260361i
$299$	−15.5294	+	1.63221i	−0.898091	+	0.0943931i
$300$	−34.9722	+	47.3965i	−2.01912	+	2.73644i
$301$	0.122916	+	0.276075i	0.00708479	+	0.0159127i
$302$	−1.06077	+	18.9072i	−0.0610407	+	1.08799i
$303$	37.2174	+	16.5702i	2.13808	+	0.951935i
$304$	12.0195	+	4.10221i	0.689364	+	0.235278i
$305$	15.2937	+	8.82984i	0.875717	+	0.505595i
$306$	12.4996	−	32.2072i	0.714553	−	1.84116i
$307$	−4.23329	−	19.9161i	−0.241607	−	1.13667i	−0.916899	−	0.399120i	$-0.869316\pi$
$307$	−4.23329	−	19.9161i	−0.241607	−	1.13667i	0.675292	−	0.737550i	$-0.264017\pi$
$308$	0.0525055	−	0.466457i	0.00299178	−	0.0265788i
$309$			56.7413i			3.22790i
$310$	24.5586	+	17.3800i	1.39484	+	0.987120i
$311$			21.2852i			1.20697i	0.797374	+	0.603486i	$0.206222\pi$
$311$			21.2852i			1.20697i	−0.797374	+	0.603486i	$0.793778\pi$
$312$	31.2903	−	15.5099i	1.77146	−	0.878073i
$313$	−3.51512	−	16.5373i	−0.198686	−	0.934746i	−0.958608	−	0.284731i	$-0.908096\pi$
$313$	−3.51512	−	16.5373i	−0.198686	−	0.934746i	0.759921	−	0.650015i	$-0.225237\pi$
$314$	3.81870	+	1.48203i	0.215502	+	0.0836359i
$315$	−7.20975	−	4.16255i	−0.406224	−	0.234533i
$316$	2.43737	−	0.238027i	0.137113	−	0.0133901i
$317$	6.90308	+	3.07345i	0.387716	+	0.172622i	0.591331	−	0.806429i	$-0.298603\pi$
$317$	6.90308	+	3.07345i	0.387716	+	0.172622i	−0.203615	+	0.979051i	$0.565269\pi$
$318$	32.7721	+	1.83865i	1.83777	+	0.103106i
$319$	−0.330556	−	0.742441i	−0.0185076	−	0.0415687i
$320$	−30.4636	+	2.52225i	−1.70297	+	0.140998i
$321$	11.7191	−	1.23172i	0.654095	−	0.0687482i
$322$	−0.298453	+	1.84044i	−0.0166322	+	0.102563i
$323$	8.09443	+	8.98978i	0.450386	+	0.500205i
$324$	−22.2060	−	13.0398i	−1.23367	−	0.724433i
$325$	−36.7457	−	11.9394i	−2.03829	−	0.662279i
$326$	−1.86061	−	7.04769i	−0.103050	−	0.390335i
$327$	3.74394	−	35.6212i	0.207040	−	1.96986i
$328$	8.88715	+	7.36084i	0.490711	+	0.406435i
$329$	−0.593905	+	0.659598i	−0.0327430	+	0.0363648i
$330$	−8.92484	+	7.17289i	−0.491296	+	0.394855i
$331$	−9.68026	−	2.05760i	−0.532075	−	0.113096i	−0.0659637	−	0.997822i	$-0.521012\pi$
$331$	−9.68026	−	2.05760i	−0.532075	−	0.113096i	−0.466112	+	0.884726i	$0.654345\pi$
$332$	−0.164355	+	22.2974i	−0.00902013	+	1.22373i
$333$	−8.82720	+	12.1496i	−0.483727	+	0.665794i
$334$	−1.07157	−	6.93083i	−0.0586335	−	0.379238i
$335$	−47.2275	+	27.2668i	−2.58032	+	1.48975i
$336$	−0.806761	−	4.09117i	−0.0440124	−	0.223192i
$337$	−5.47540	−	7.53624i	−0.298264	−	0.410525i	0.633413	−	0.773814i	$-0.281654\pi$
$337$	−5.47540	−	7.53624i	−0.298264	−	0.410525i	−0.931676	+	0.363289i	$0.881654\pi$
$338$	3.18646	+	3.21004i	0.173321	+	0.174603i
$339$	9.20980	+	28.3448i	0.500208	+	1.53948i
$340$	−26.5106	−	12.0382i	−1.43774	−	0.652863i
$341$	2.46799	+	2.94914i	0.133649	+	0.159705i
$342$	24.2032	−	15.5912i	1.30876	−	0.843077i
$343$	−4.48717	+	1.45797i	−0.242284	+	0.0787230i
$344$	2.35815	−	0.875420i	0.127143	−	0.0471995i
$345$	36.7939	−	26.7323i	1.98092	−	1.43922i
$346$	5.89292	−	0.287061i	0.316805	−	0.0154325i
$347$	8.14915	+	14.1147i	0.437470	+	0.757719i	0.997494	−	0.0707569i	$-0.0225415\pi$
$347$	8.14915	+	14.1147i	0.437470	+	0.757719i	−0.560024	+	0.828476i	$0.689208\pi$
$348$	−4.79123	−	5.40073i	−0.256837	−	0.289509i
$349$	7.32302	+	5.32049i	0.391992	+	0.284799i	0.766271	−	0.642517i	$-0.222110\pi$
$349$	7.32302	+	5.32049i	0.391992	+	0.284799i	−0.374279	+	0.927316i	$0.622110\pi$
$350$	−2.52685	+	3.85979i	−0.135066	+	0.206315i
$351$	8.75856	−	41.2058i	0.467498	−	2.19940i
$352$	−3.84709	−	0.682209i	−0.205050	−	0.0363619i
$353$	−3.20910	−	2.88949i	−0.170803	−	0.153792i	0.579296	−	0.815117i	$-0.303328\pi$
$353$	−3.20910	−	2.88949i	−0.170803	−	0.153792i	−0.750099	+	0.661325i	$0.769994\pi$
$354$	−23.6136	−	6.42062i	−1.25505	−	0.341252i
$355$	−10.8676	−	1.14223i	−0.576792	−	0.0606233i
$356$	−2.79736	+	3.06111i	−0.148260	+	0.162238i
$357$	1.22738	−	3.77748i	0.0649597	−	0.199925i
$358$	24.2149	−	12.2259i	1.27980	−	0.646159i
$359$	12.5496	−	11.2997i	0.662341	−	0.596375i	−0.267845	−	0.963462i	$-0.586312\pi$
$359$	12.5496	−	11.2997i	0.662341	−	0.596375i	0.930186	+	0.367087i	$0.119645\pi$
$360$	−38.3808	+	57.6945i	−2.02284	+	3.04077i
$361$	−0.932292	−	8.87016i	−0.0490680	−	0.466851i
$362$	15.9085	−	6.03952i	0.836131	−	0.317430i
$363$	29.4920	−	13.1307i	1.54793	−	0.689182i
$364$	2.37883	−	1.35014i	0.124684	−	0.0707663i
$365$	5.59652	−	12.5700i	0.292935	−	0.657944i
$366$	17.8329	+	9.16924i	0.932139	+	0.479284i
$367$	2.04386	−	3.54008i	0.106689	−	0.184790i	−0.807738	−	0.589541i	$-0.799308\pi$
$367$	2.04386	−	3.54008i	0.106689	−	0.184790i	0.914427	+	0.404751i	$0.132642\pi$
$368$	15.1308	+	3.45003i	0.788746	+	0.179845i
$369$	25.5877	−	5.43884i	1.33204	−	0.283135i
$370$	9.80654	+	8.00120i	0.509817	+	0.415962i
$371$	2.57081			0.133470
$372$	28.8128	+	18.3544i	1.49388	+	0.951631i
$373$	−5.97919			−0.309591			−0.154795	−	0.987947i	$-0.549472\pi$
$373$	−5.97919			−0.309591			−0.154795	+	0.987947i	$0.549472\pi$
$374$	−2.88351	−	2.35267i	−0.149103	−	0.121654i
$375$	52.7427	−	11.2108i	2.72362	−	0.578923i
$376$	5.16589	+	5.28141i	0.266411	+	0.272368i
$377$	2.36786	−	4.10125i	0.121951	−	0.211225i
$378$	−4.47334	−	2.30008i	−0.230084	−	0.118304i
$379$	−11.3533	+	25.4999i	−0.583180	+	1.30984i	0.345311	+	0.938488i	$0.387774\pi$
$379$	−11.3533	+	25.4999i	−0.583180	+	1.30984i	−0.928491	+	0.371355i	$0.878893\pi$
$380$	−11.9766	−	21.1018i	−0.614387	−	1.08250i
$381$	−36.0627	+	16.0561i	−1.84755	+	0.822581i
$382$	−0.864317	+	0.328130i	−0.0442223	+	0.0167886i
$383$	1.62448	+	15.4559i	0.0830069	+	0.789758i	0.954271	+	0.298943i	$0.0966341\pi$
$383$	1.62448	+	15.4559i	0.0830069	+	0.789758i	−0.871264	+	0.490815i	$0.836699\pi$
$384$	−34.4103	+	4.54356i	−1.75599	+	0.231863i
$385$	−0.666444	+	0.600069i	−0.0339651	+	0.0305823i
$386$	−29.0918	+	14.6882i	−1.48073	+	0.747609i
$387$	1.76207	−	5.42310i	0.0895712	−	0.275672i
$388$	7.59715	+	6.94258i	0.385687	+	0.352456i
$389$	15.6501	+	1.64489i	0.793492	+	0.0833994i	0.492597	−	0.870258i	$-0.336048\pi$
$389$	15.6501	+	1.64489i	0.793492	+	0.0833994i	0.300896	+	0.953657i	$0.402714\pi$
$390$	−64.3831	−	17.5060i	−3.26017	−	0.886450i
$391$	10.9851	+	9.89105i	0.555541	+	0.500212i
$392$	4.83156	+	18.8635i	0.244031	+	0.952748i
$393$	−5.83010	+	27.4285i	−0.294090	+	1.38358i
$394$	11.7905	−	18.0102i	0.593999	−	0.907339i
$395$	−3.78516	−	2.75008i	−0.190452	−	0.138372i
$396$	−6.62559	+	5.87786i	−0.332949	+	0.295374i
$397$	0.177923	+	0.308172i	0.00892971	+	0.0154667i	0.870456	−	0.492247i	$-0.163824\pi$
$397$	0.177923	+	0.308172i	0.00892971	+	0.0154667i	−0.861526	+	0.507713i	$0.830491\pi$
$398$	−30.5492	+	1.48814i	−1.53129	+	0.0745937i
$399$	2.67781	−	1.94555i	0.134058	−	0.0973991i
$400$	30.7298	+	23.0262i	1.53649	+	1.15131i
$401$	26.8530	−	8.72505i	1.34097	−	0.435708i	0.451326	−	0.892359i	$-0.350951\pi$
$401$	26.8530	−	8.72505i	1.34097	−	0.435708i	0.889646	+	0.456651i	$0.150951\pi$
$402$	−52.0556	+	33.5332i	−2.59630	+	1.67249i
$403$	−5.44986	+	21.7358i	−0.271477	+	1.08274i
$404$	10.9810	−	24.1824i	0.546325	−	1.20312i
$405$	15.2030	+	46.7901i	0.755445	+	2.32502i
$406$	−0.398364	−	0.401311i	−0.0197705	−	0.0199167i
$407$	0.950875	+	1.30877i	0.0471331	+	0.0648732i
$408$	−30.7315	−	12.1882i	−1.52144	−	0.603408i
$409$	−29.3731	+	16.9586i	−1.45241	+	0.838547i	−0.998618	−	0.0525623i	$-0.983261\pi$
$409$	−29.3731	+	16.9586i	−1.45241	+	0.838547i	−0.453789	+	0.891109i	$0.649928\pi$
$410$	−3.36854	−	21.7875i	−0.166360	−	1.07601i
$411$	−27.8990	+	38.3997i	−1.37616	+	1.89412i
$412$	36.9897	+	0.272652i	1.82235	+	0.0134326i
$413$	−1.87473	−	0.398487i	−0.0922496	−	0.0196083i
$414$	27.4218	−	22.0389i	1.34771	−	1.08315i
$415$	28.5050	−	31.6580i	1.39926	−	1.55403i
$416$	−9.96054	−	20.4727i	−0.488356	−	1.00376i
$417$	5.54682	−	52.7744i	0.271629	−	2.58437i
$418$	−0.791635	−	2.99858i	−0.0387201	−	0.146666i
$419$	17.6042	+	5.71994i	0.860020	+	0.279437i	0.705637	−	0.708574i	$-0.250661\pi$
$419$	17.6042	+	5.71994i	0.860020	+	0.279437i	0.154383	+	0.988011i	$0.450661\pi$
$420$	−4.03407	+	6.86978i	−0.196843	+	0.335211i
$421$	6.39449	+	7.10180i	0.311648	+	0.346120i	0.878537	−	0.477674i	$-0.158520\pi$
$421$	6.39449	+	7.10180i	0.311648	+	0.346120i	−0.566889	+	0.823794i	$0.691853\pi$
$422$	−4.62305	+	28.5084i	−0.225047	+	1.38777i
$423$	16.6558	−	1.75059i	0.809831	−	0.0851167i
$424$	1.35609	−	21.3553i	0.0658577	−	1.03711i
$425$	14.8766	+	33.4134i	0.721621	+	1.62079i
$426$	−12.3883	−	0.695036i	−0.600217	−	0.0336746i
$427$	1.43474	+	0.638788i	0.0694320	+	0.0309131i
$428$	−0.746651	−	7.64560i	−0.0360907	−	0.369564i
$429$	−7.38553	−	4.26404i	−0.356577	−	0.205870i
$430$	−4.48008	−	1.73871i	−0.216048	−	0.0838481i
$431$	4.83671	+	22.7549i	0.232976	+	1.09607i	0.926693	+	0.375819i	$0.122639\pi$
$431$	4.83671	+	22.7549i	0.232976	+	1.09607i	−0.693717	+	0.720248i	$0.744028\pi$
$432$	−21.4661	+	35.9460i	−1.03279	+	1.72945i
$433$		−	4.87468i		−	0.234262i	−0.993116	−	0.117131i	$-0.962630\pi$
$433$		−	4.87468i		−	0.234262i	0.993116	−	0.117131i	$-0.0373698\pi$
$434$	2.33366	+	1.30889i	0.112019	+	0.0628285i
$435$			13.7931i			0.661330i
$436$	−23.2035	−	2.61184i	−1.11125	−	0.125085i
$437$	2.56116	+	12.0493i	0.122517	+	0.576398i
$438$	5.65272	−	14.5652i	0.270098	−	0.695951i
$439$	−3.64832	−	2.10636i	−0.174125	−	0.100531i	0.410405	−	0.911904i	$-0.365387\pi$
$439$	−3.64832	−	2.10636i	−0.174125	−	0.100531i	−0.584529	+	0.811373i	$0.698721\pi$
$440$	4.63313	+	5.85258i	0.220876	+	0.279011i
$441$	40.3259	+	17.9543i	1.92028	+	0.854965i
$442$	1.21475	−	21.6517i	0.0577796	−	1.02986i
$443$	−11.8222	−	26.5532i	−0.561691	−	1.26158i	−0.941656	−	0.336577i	$-0.890731\pi$
$443$	−11.8222	−	26.5532i	−0.561691	−	1.26158i	0.379965	−	0.925001i	$-0.375936\pi$
$444$	11.5639	+	8.53260i	0.548799	+	0.404939i
$445$	7.87894	−	0.828110i	0.373498	−	0.0392562i
$446$	32.8871	+	5.33312i	1.55725	+	0.252531i
$447$	−40.7566	−	45.2648i	−1.92772	−	2.14095i
$448$	−2.67092	+	0.506270i	−0.126189	+	0.0239190i
$449$	−14.0928	−	4.57901i	−0.665078	−	0.216097i	−0.0430274	−	0.999074i	$-0.513700\pi$
$449$	−14.0928	−	4.57901i	−0.665078	−	0.216097i	−0.622051	+	0.782977i	$0.713700\pi$
$450$	84.1648	−	22.2198i	3.96757	−	1.04745i
$451$	0.294552	−	2.80248i	0.0138699	−	0.131964i
$452$	18.5223	−	5.86768i	0.871215	−	0.275992i
$453$	27.4880	−	30.5285i	1.29150	−	1.43435i
$454$	10.0115	+	12.4567i	0.469861	+	0.584622i
$455$	−5.11150	−	1.08648i	−0.239631	−	0.0509351i
$456$	−14.7488	−	23.2704i	−0.690676	−	1.08974i
$457$	−12.3118	+	16.9457i	−0.575921	+	0.792688i	−0.993241	−	0.116072i	$-0.962970\pi$
$457$	−12.3118	+	16.9457i	−0.575921	+	0.792688i	0.417320	+	0.908760i	$0.362970\pi$
$458$	−24.5423	+	3.79446i	−1.14679	+	0.177303i
$459$	−34.5362	+	19.9395i	−1.61201	+	0.930696i
$460$	−17.2500	−	24.1144i	−0.804287	−	1.12434i
$461$	−5.40704	−	7.44215i	−0.251831	−	0.346615i	0.664321	−	0.747448i	$-0.268721\pi$
$461$	−5.40704	−	7.44215i	−0.251831	−	0.346615i	−0.916151	+	0.400832i	$0.868721\pi$
$462$	−0.722681	+	0.717374i	−0.0336222	+	0.0333752i
$463$	−11.7287	−	36.0973i	−0.545080	−	1.67758i	−0.720799	−	0.693144i	$-0.756225\pi$
$463$	−11.7287	−	36.0973i	−0.545080	−	1.67758i	0.175719	−	0.984440i	$-0.443775\pi$
$464$	−3.54377	+	3.09746i	−0.164515	+	0.143796i
$465$	−17.9071	−	62.7621i	−0.830420	−	2.91052i
$466$	10.5163	+	16.3251i	0.487157	+	0.756244i
$467$	25.8967	−	8.41434i	1.19836	−	0.389369i	0.359200	−	0.933261i	$-0.383050\pi$
$467$	25.8967	−	8.41434i	1.19836	−	0.389369i	0.839156	+	0.543891i	$0.183050\pi$
$468$	−50.4029	−	11.1024i	−2.32988	−	0.513208i
$469$	−3.92358	+	2.85065i	−0.181174	+	0.131631i
$470$	−0.686736	−	14.0976i	−0.0316768	−	0.650274i
$471$	−4.44297	−	7.69544i	−0.204721	−	0.354587i
$472$	−4.29908	+	15.3629i	−0.197881	+	0.707135i
$473$	−0.496935	−	0.361045i	−0.0228491	−	0.0166008i
$474$	−4.44479	−	2.90983i	−0.204156	−	0.133653i
$475$	−6.33718	+	29.8141i	−0.290770	+	1.36796i
$476$	−2.45665	−	0.818280i	−0.112600	−	0.0375058i
$477$	−36.0486	−	32.4583i	−1.65055	−	1.48616i
$478$	−9.00693	+	33.1255i	−0.411967	+	1.51513i
$479$	13.9297	+	1.46407i	0.636465	+	0.0668951i	0.417265	−	0.908785i	$-0.362989\pi$
$479$	13.9297	+	1.46407i	0.636465	+	0.0668951i	0.219200	+	0.975680i	$0.429655\pi$
$480$	54.9382	+	37.1342i	2.50758	+	1.69494i
$481$	−2.91300	+	8.96530i	−0.132822	+	0.408783i
$482$	−18.6538	−	36.9462i	−0.849659	−	1.68285i
$483$	3.00574	−	2.70638i	0.136766	−	0.123145i
$484$	−8.41819	−	19.2890i	−0.382645	−	0.876771i
$485$	−2.05523	−	19.5542i	−0.0933231	−	0.887910i
$486$	4.06586	+	10.7097i	0.184431	+	0.485804i
$487$	−9.94637	+	4.42841i	−0.450713	+	0.200670i	−0.619523	−	0.784978i	$-0.712674\pi$
$487$	−9.94637	+	4.42841i	−0.450713	+	0.200670i	0.168810	+	0.985649i	$0.446007\pi$
$488$	6.06313	−	11.5812i	0.274465	−	0.524257i
$489$	−6.43149	+	14.4454i	−0.290842	+	0.653242i
$490$	17.0113	−	33.0846i	0.768493	−	1.49461i
$491$	−11.7340	+	20.3239i	−0.529548	+	0.917204i	0.469858	+	0.882742i	$0.344305\pi$
$491$	−11.7340	+	20.3239i	−0.529548	+	0.917204i	−0.999406	+	0.0344622i	$0.989028\pi$
$492$	−5.02404	−	24.5237i	−0.226501	−	1.10561i
$493$	−4.38511	+	0.932083i	−0.197495	+	0.0419789i
$494$	11.4246	−	14.0024i	0.514018	−	0.629997i
$495$	16.9213			0.760558
$496$	12.1037	−	18.6949i	0.543472	−	0.839427i
$497$	−0.971806			−0.0435914
$498$	30.5793	−	37.4791i	1.37029	−	1.67948i
$499$	4.09503	−	0.870426i	0.183319	−	0.0389656i	−0.115337	−	0.993326i	$-0.536795\pi$
$499$	4.09503	−	0.870426i	0.183319	−	0.0389656i	0.298656	+	0.954361i	$0.403462\pi$
$500$	−7.05490	−	34.4369i	−0.315505	−	1.54007i
$501$	−7.60687	+	13.1755i	−0.339850	+	0.588637i
$502$	−11.2639	+	21.9067i	−0.502733	+	0.977744i
$503$	2.15115	−	4.83157i	0.0959152	−	0.215429i	−0.859215	−	0.511614i	$-0.829048\pi$
$503$	2.15115	−	4.83157i	0.0959152	−	0.215429i	0.955131	+	0.296185i	$0.0957145\pi$
$504$	−2.85827	+	5.45960i	−0.127318	+	0.243190i
$505$	−46.3536	+	20.6380i	−2.06271	+	0.918378i
$506$	−1.34505	−	3.54295i	−0.0597948	−	0.157503i
$507$	−1.02562	−	9.75811i	−0.0455493	−	0.433373i
$508$	10.2937	+	23.5865i	0.456710	+	1.04648i
$509$	17.9458	−	16.1585i	0.795435	−	0.716213i	−0.167522	−	0.985868i	$-0.553577\pi$
$509$	17.9458	−	16.1585i	0.795435	−	0.716213i	0.962957	+	0.269656i	$0.0869099\pi$
$510$	28.4670	+	56.3823i	1.26054	+	2.49665i
$511$	0.378136	−	1.16378i	0.0167277	−	0.0514827i
$512$	2.79661	+	22.4539i	0.123594	+	0.992333i
$513$	−33.0511	−	3.47381i	−1.45924	−	0.153372i
$514$	1.91803	−	7.05409i	0.0846007	−	0.311143i
$515$	−52.5183	−	47.2877i	−2.31423	−	2.08375i
$516$	−5.17704	−	1.72441i	−0.227906	−	0.0759130i
$517$	0.375085	−	1.76464i	0.0164962	−	0.0776086i
$518$	0.941721	+	0.616507i	0.0413768	+	0.0270878i
$519$	−10.3544	−	7.52289i	−0.454507	−	0.330218i
$520$	−11.7215	+	41.8873i	−0.514024	+	1.83688i
$521$	7.76895	+	13.4562i	0.340364	+	0.589527i	0.984500	−	0.175383i	$-0.0561165\pi$
$521$	7.76895	+	13.4562i	0.340364	+	0.589527i	−0.644136	+	0.764911i	$0.722783\pi$
$522$	0.519130	+	10.6569i	0.0227217	+	0.466441i
$523$	−18.7288	+	13.6073i	−0.818955	+	0.595006i	−0.916413	−	0.400234i	$-0.868929\pi$
$523$	−18.7288	+	13.6073i	−0.818955	+	0.595006i	0.0974579	+	0.995240i	$0.468929\pi$
$524$	17.8527	+	3.93245i	0.779897	+	0.171790i
$525$	9.51796	−	3.09257i	0.415398	−	0.134971i
$526$	−6.76555	−	10.5026i	−0.294992	−	0.457934i
$527$	18.7432	−	9.93422i	0.816468	−	0.432741i
$528$	5.57790	+	6.38161i	0.242747	+	0.277724i
$529$	−2.45585	−	7.55834i	−0.106776	−	0.328623i
$530$	−29.0138	+	28.8007i	−1.26028	+	1.25102i
$531$	21.2568	+	29.2575i	0.922468	+	1.26967i
$532$	−1.25544	−	1.75502i	−0.0544301	−	0.0760897i
$533$	14.2204	−	8.21017i	0.615955	−	0.355622i
$534$	8.88998	−	1.37447i	0.384707	−	0.0594791i
$535$	−8.62653	+	11.8734i	−0.372957	+	0.513332i
$536$	21.6102	+	34.0963i	0.933419	+	1.47273i
$537$	−57.5593	−	12.2346i	−2.48387	−	0.527963i
$538$	17.1629	+	21.3548i	0.739945	+	0.920673i
$539$	3.18175	−	3.53369i	0.137048	−	0.152207i
$540$	76.2532	−	24.1562i	3.28141	−	1.03952i
$541$	−1.98895	+	18.9236i	−0.0855118	+	0.813590i	0.864764	+	0.502179i	$0.167468\pi$
$541$	−1.98895	+	18.9236i	−0.0855118	+	0.813590i	−0.950275	+	0.311411i	$0.899198\pi$
$542$	−2.41600	+	0.637831i	−0.103776	+	0.0273972i
$543$	−35.1070	−	11.4070i	−1.50659	−	0.489519i
$544$	−8.09320	+	19.9753i	−0.346993	+	0.856435i
$545$	29.8499	+	33.1517i	1.27863	+	1.42006i
$546$	−5.85712	−	0.949817i	−0.250662	−	0.0406484i
$547$	0.686790	−	0.0721845i	0.0293650	−	0.00308639i	−0.0898346	−	0.995957i	$-0.528634\pi$
$547$	0.686790	−	0.0721845i	0.0293650	−	0.00308639i	0.119200	+	0.992870i	$0.461967\pi$
$548$	24.8988	+	18.3719i	1.06362	+	0.784810i
$549$	−12.0532	−	27.0719i	−0.514417	−	1.15540i
$550$	0.525259	−	9.36222i	0.0223971	−	0.399206i
$551$	−3.41298	−	1.51955i	−0.145398	−	0.0647352i
$552$	−20.8960	−	26.3959i	−0.889393	−	1.12348i
$553$	−0.360345	−	0.208045i	−0.0153234	−	0.00884698i
$554$	−5.89955	+	15.2012i	−0.250648	+	0.645835i
$555$	−5.70840	−	26.8559i	−0.242308	−	1.13997i
$556$	−34.3771	−	3.86957i	−1.45791	−	0.164106i
$557$		−	18.4279i		−	0.780814i	−0.920642	−	0.390407i	$-0.872334\pi$
$557$		−	18.4279i		−	0.780814i	0.920642	−	0.390407i	$-0.127666\pi$
$558$	−16.1976	−	47.8177i	−0.685700	−	2.02428i
$559$		−	3.57928i		−	0.151388i
$560$	4.45903	+	2.66283i	0.188429	+	0.112525i
$561$	1.67849	+	7.89669i	0.0708661	+	0.333399i
$562$	34.7797	+	13.4979i	1.46709	+	0.569376i
$563$	−4.37594	−	2.52645i	−0.184424	−	0.106477i	0.404946	−	0.914341i	$-0.367290\pi$
$563$	−4.37594	−	2.52645i	−0.184424	−	0.106477i	−0.589370	+	0.807864i	$0.700624\pi$
$564$	−1.55769	−	15.9506i	−0.0655907	−	0.671639i
$565$	−33.9107	−	15.0980i	−1.42663	−	0.635178i
$566$	−10.6346	−	0.596642i	−0.447004	−	0.0250787i
$567$	1.77960	+	3.99704i	0.0747360	+	0.167860i
$568$	−0.512623	+	8.07264i	−0.0215092	+	0.338720i
$569$	−23.2491	+	2.44358i	−0.974652	+	0.102440i	−0.578445	−	0.815721i	$-0.696340\pi$
$569$	−23.2491	+	2.44358i	−0.974652	+	0.102440i	−0.396207	+	0.918161i	$0.629674\pi$
$570$	−8.42552	+	51.9566i	−0.352906	+	2.17622i
$571$	−5.82476	−	6.46906i	−0.243759	−	0.270722i	0.608834	−	0.793298i	$-0.291638\pi$
$571$	−5.82476	−	6.46906i	−0.243759	−	0.270722i	−0.852593	+	0.522576i	$0.824971\pi$
$572$	−2.81522	+	4.79415i	−0.117710	+	0.200453i
$573$	1.90738	+	0.619746i	0.0796820	+	0.0258903i
$574$	−0.500468	−	1.89569i	−0.0208891	−	0.0791246i
$575$	−3.89321	+	37.0414i	−0.162358	+	1.54473i
$576$	43.8443	+	26.6231i	1.82685	+	1.10930i
$577$	9.25155	−	10.2749i	0.385147	−	0.427749i	−0.519130	−	0.854695i	$-0.673744\pi$
$577$	9.25155	−	10.2749i	0.385147	−	0.427749i	0.904277	+	0.426946i	$0.140411\pi$
$578$	2.73811	−	2.20062i	0.113890	−	0.0915338i
$579$	69.1517	+	14.6987i	2.87385	+	0.610855i
$580$	8.99176	+	0.0662784i	0.373362	+	0.00275206i
$581$	2.22684	−	3.06499i	0.0923850	−	0.127157i
$582$	−3.41119	−	22.0634i	−0.141399	−	0.914557i
$583$	−4.52529	+	2.61268i	−0.187418	+	0.108206i
$584$	−9.46789	−	3.75501i	−0.391784	−	0.155383i
$585$	57.9572	+	79.7713i	2.39624	+	3.29814i
$586$	5.20509	+	5.24360i	0.215020	+	0.216611i
$587$	6.53592	+	20.1155i	0.269766	+	0.830255i	0.990557	+	0.137102i	$0.0437788\pi$
$587$	6.53592	+	20.1155i	0.269766	+	0.830255i	−0.720791	+	0.693153i	$0.756221\pi$
$588$	17.4652	−	38.4620i	0.720252	−	1.58614i
$589$	17.5027	+	2.48342i	0.721184	+	0.102328i
$590$	25.6222	−	16.5053i	1.05485	−	0.679513i
$591$	−44.4117	+	14.4302i	−1.82685	+	0.593581i
$592$	5.61798	−	7.49752i	0.230898	−	0.308146i
$593$	−17.7223	+	12.8760i	−0.727768	+	0.528754i	−0.888857	−	0.458186i	$-0.848500\pi$
$593$	−17.7223	+	12.8760i	−0.727768	+	0.528754i	0.161089	+	0.986940i	$0.448500\pi$
$594$	10.2118	−	0.497444i	0.418993	−	0.0204104i
$595$	2.47346	+	4.28415i	0.101402	+	0.175633i
$596$	−29.7040	+	26.3518i	−1.21672	+	1.07941i
$597$	53.6776	+	38.9991i	2.19688	+	1.59613i
$598$	12.0954	−	18.4758i	0.494617	−	0.755533i
$599$	8.42777	−	39.6495i	0.344349	−	1.62004i	−0.376135	−	0.926565i	$-0.622747\pi$
$599$	8.42777	−	39.6495i	0.344349	−	1.62004i	0.720484	−	0.693472i	$-0.243920\pi$
$600$	−20.6688	−	80.6955i	−0.843801	−	3.29438i
$601$	22.1182	+	19.9153i	0.902221	+	0.812364i	0.982855	−	0.184380i	$-0.0590277\pi$
$601$	22.1182	+	19.9153i	0.902221	+	0.812364i	−0.0806337	+	0.996744i	$0.525694\pi$
$602$	−0.412405	−	0.112134i	−0.0168084	−	0.00457025i
$603$	91.0090	+	9.56543i	3.70617	+	0.389534i
$604$	−19.7695	−	18.0662i	−0.804409	−	0.735101i
$605$	−12.4250	+	38.2401i	−0.505146	+	1.55468i
$606$	−51.4308	+	25.9670i	−2.08923	+	1.05484i
$607$	−6.25026	+	5.62776i	−0.253690	+	0.228424i	−0.786156	−	0.618027i	$-0.787932\pi$
$607$	−6.25026	+	5.62776i	−0.253690	+	0.228424i	0.532466	+	0.846451i	$0.321265\pi$
$608$	−15.2409	+	9.50295i	−0.618100	+	0.385395i
$609$	0.128221	+	1.21994i	0.00519576	+	0.0494343i
$610$	−23.3486	+	8.86409i	−0.945357	+	0.358897i
$611$	9.60362	−	4.27581i	0.388521	−	0.172981i
$612$	24.1164	+	42.4910i	0.974847	+	1.71760i
$613$	−0.0366768	+	0.0823776i	−0.00148136	+	0.00332720i	−0.914285	−	0.405072i	$-0.867246\pi$
$613$	−0.0366768	+	0.0823776i	−0.00148136	+	0.00332720i	0.912803	+	0.408400i	$0.133913\pi$
$614$	25.6080	+	13.1670i	1.03345	+	0.531378i
$615$	−23.9127	+	41.4180i	−0.964253	+	1.67014i
$616$	0.464184	+	0.474564i	0.0187025	+	0.0191207i
$617$	−9.80264	+	2.08361i	−0.394639	+	0.0838832i	−0.400957	−	0.916097i	$-0.631322\pi$
$617$	−9.80264	+	2.08361i	−0.394639	+	0.0838832i	0.00631774	+	0.999980i	$0.497989\pi$
$618$	−62.1750	−	50.7288i	−2.50104	−	2.04061i
$619$	36.1685			1.45373			0.726867	−	0.686778i	$-0.240975\pi$
$619$	36.1685			1.45373			0.726867	+	0.686778i	$0.240975\pi$
$620$	−41.0008	+	11.3720i	−1.64663	+	0.456712i
$621$	−40.6094			−1.62960
$622$	−23.3235	−	19.0297i	−0.935187	−	0.763023i
$623$	0.689158	−	0.146485i	0.0276105	−	0.00586880i
$624$	−10.9796	+	48.1532i	−0.439535	+	1.92767i
$625$	−9.57918	+	16.5916i	−0.383167	+	0.663665i
$626$	21.2637	+	10.9333i	0.849867	+	0.436981i
$627$	−2.73641	+	6.14608i	−0.109282	+	0.245451i
$628$	−5.03802	+	2.85940i	−0.201039	+	0.114102i
$629$	8.15227	−	3.62963i	0.325052	−	0.144723i
$630$	11.0070	−	4.17870i	0.438528	−	0.166483i
$631$	−3.53082	−	33.5935i	−0.140560	−	1.33734i	−0.806457	−	0.591293i	$-0.798618\pi$
$631$	−3.53082	−	33.5935i	−0.140560	−	1.33734i	0.665897	−	0.746043i	$-0.268049\pi$
$632$	−1.91828	+	2.88358i	−0.0763050	+	0.114703i
$633$	46.5591	−	41.9220i	1.85056	−	1.66625i
$634$	−9.53939	+	4.81636i	−0.378858	+	0.191282i
$635$	15.1932	−	46.7598i	0.602923	−	1.85561i
$636$	−31.3142	+	34.2666i	−1.24169	+	1.35876i
$637$	27.5564	+	2.89630i	1.09183	+	0.114755i
$638$	1.10907	+	0.301559i	0.0439085	+	0.0119389i
$639$	13.6269	+	12.2697i	0.539073	+	0.485383i
$640$	24.4718	−	35.6359i	0.967334	−	1.40863i
$641$	−0.0363172	+	0.170859i	−0.00143444	+	0.00674853i	−0.978859	−	0.204536i	$-0.934431\pi$
$641$	−0.0363172	+	0.170859i	−0.00143444	+	0.00674853i	0.977425	+	0.211285i	$0.0677647\pi$
$642$	−9.12762	+	13.9425i	−0.360238	+	0.550268i
$643$	−21.8580	−	15.8808i	−0.861995	−	0.626276i	0.0664320	−	0.997791i	$-0.478838\pi$
$643$	−21.8580	−	15.8808i	−0.861995	−	0.626276i	−0.928427	+	0.371515i	$0.878838\pi$
$644$	−1.74985	−	1.97245i	−0.0689539	−	0.0777256i
$645$	5.21246	+	9.02825i	0.205240	+	0.355487i
$646$	−17.0874	+	0.832377i	−0.672295	+	0.0327494i
$647$	26.4430	−	19.2119i	1.03958	−	0.755299i	0.0693764	−	0.997591i	$-0.477899\pi$
$647$	26.4430	−	19.2119i	1.03958	−	0.755299i	0.970203	+	0.242292i	$0.0778991\pi$
$648$	34.1415	−	12.6744i	1.34120	−	0.497898i
$649$	3.70499	−	1.20382i	0.145433	−	0.0472542i
$650$	45.9348	−	29.5903i	1.80171	−	1.16063i
$651$	−2.16723	−	5.38455i	−0.0849404	−	0.211037i
$652$	9.38605	+	4.26211i	0.367586	+	0.166917i
$653$	−0.828152	−	2.54879i	−0.0324081	−	0.0997419i	0.933544	−	0.358463i	$-0.116699\pi$
$653$	−0.828152	−	2.54879i	−0.0324081	−	0.0997419i	−0.965952	+	0.258721i	$0.916699\pi$
$654$	35.6852	+	35.9492i	1.39540	+	1.40572i
$655$	−20.5284	−	28.2549i	−0.802110	−	1.10401i
$656$	−16.0112	+	3.15734i	−0.625132	+	0.123273i
$657$	−19.9959	+	11.5446i	−0.780114	+	0.450399i
$658$	−0.191790	−	1.24048i	−0.00747674	−	0.0483591i
$659$	26.7956	−	36.8809i	1.04381	−	1.43668i	0.149751	−	0.988724i	$-0.452153\pi$
$659$	26.7956	−	36.8809i	1.04381	−	1.43668i	0.894057	−	0.447954i	$-0.147847\pi$
$660$	0.119354	−	16.1923i	0.00464585	−	0.630286i
$661$	0.878620	+	0.186756i	0.0341743	+	0.00726398i	0.224967	−	0.974366i	$-0.427773\pi$
$661$	0.878620	+	0.186756i	0.0341743	+	0.00726398i	−0.190793	+	0.981630i	$0.561106\pi$
$662$	10.9092	−	8.76770i	0.423997	−	0.340766i
$663$	−31.4779	+	34.9598i	−1.22250	+	1.35772i
$664$	−24.2857	−	20.1148i	−0.942468	−	0.780606i
$665$	−0.430919	+	4.09992i	−0.0167103	+	0.158988i
$666$	−5.42123	−	20.5347i	−0.210068	−	0.795704i
$667$	−4.34175	−	1.41072i	−0.168113	−	0.0546233i
$668$	8.55256	+	5.02224i	0.330909	+	0.194316i
$669$	−48.3609	−	53.7102i	−1.86974	−	2.07656i
$670$	12.3452	−	76.1278i	0.476938	−	2.94107i
$671$	−3.17470	+	0.333675i	−0.122558	+	0.0128814i
$672$	5.20423	+	2.77364i	0.200757	+	0.106996i
$673$	3.44688	+	7.74182i	0.132868	+	0.298425i	0.967711	−	0.252062i	$-0.0811087\pi$
$673$	3.44688	+	7.74182i	0.132868	+	0.298425i	−0.834844	+	0.550487i	$0.814442\pi$
$674$	13.1531	+	0.737945i	0.506640	+	0.0284246i
$675$	−91.7943	−	40.8695i	−3.53317	−	1.57307i
$676$	−6.36626	+	0.621713i	−0.244856	+	0.0239120i
$677$	14.2468	+	8.22538i	0.547548	+	0.316127i	0.748132	−	0.663549i	$-0.230951\pi$
$677$	14.2468	+	8.22538i	0.547548	+	0.316127i	−0.200584	+	0.979676i	$0.564284\pi$
$678$	−39.2931	−	15.2496i	−1.50904	−	0.585658i
$679$	−0.363551	−	1.71037i	−0.0139518	−	0.0656380i
$680$	36.8925	−	18.2867i	1.41476	−	0.701264i
$681$		−	34.6681i		−	1.32849i
$682$	−5.43804	+	0.0676897i	−0.208233	+	0.00259197i
$683$		−	32.3985i		−	1.23970i	−0.784722	−	0.619848i	$-0.787194\pi$
$683$		−	32.3985i		−	1.23970i	0.784722	−	0.619848i	$-0.212806\pi$
$684$	−4.55429	+	40.4601i	−0.174138	+	1.54703i
$685$	−12.2910	−	57.8247i	−0.469616	−	2.20937i
$686$	2.41411	−	6.22036i	0.0921712	−	0.237494i
$687$	46.6549	+	26.9362i	1.78000	+	1.02768i
$688$	−1.14902	+	3.36663i	−0.0438061	+	0.128352i
$689$	−27.8163	−	12.3846i	−1.05972	−	0.471816i
$690$	−3.60284	+	64.2171i	−0.137158	+	2.44470i
$691$	14.2508	+	32.0079i	0.542127	+	1.21764i	0.952170	+	0.305570i	$0.0988471\pi$
$691$	14.2508	+	32.0079i	0.542127	+	1.21764i	−0.410043	+	0.912066i	$0.634486\pi$
$692$	−4.95394	+	6.71388i	−0.188321	+	0.255224i
$693$	1.49661	−	0.157300i	0.0568517	−	0.00597535i
$694$	−22.7521	−	3.68958i	−0.863657	−	0.140055i
$695$	44.2240	+	49.1158i	1.67751	+	1.86307i
$696$	10.2015	−	0.421596i	0.386685	−	0.0159806i
$697$	−14.7835	−	4.80346i	−0.559966	−	0.181944i
$698$	−12.3771	+	3.26758i	−0.468478	+	0.123680i
$699$	4.40336	−	41.8951i	0.166550	−	1.58462i
$700$	−1.97032	−	6.21963i	−0.0744710	−	0.235080i
$701$	−2.92859	+	3.25252i	−0.110611	+	0.122846i	−0.795908	−	0.605418i	$-0.793006\pi$
$701$	−2.92859	+	3.25252i	−0.110611	+	0.122846i	0.685296	+	0.728264i	$0.259673\pi$
$702$	37.3213	+	46.4369i	1.40860	+	1.75265i
$703$	7.27411	+	1.54616i	0.274348	+	0.0583145i
$704$	4.18698	−	3.60557i	0.157803	−	0.135890i
$705$	−17.9970	+	24.7708i	−0.677806	+	0.932921i
$706$	6.03525	−	0.933103i	0.227140	−	0.0351178i
$707$	−3.90791	+	2.25623i	−0.146972	+	0.0848544i
$708$	28.1470	−	20.1347i	1.05783	−	0.756707i
$709$	7.30544	+	10.0551i	0.274361	+	0.377626i	0.923856	−	0.382740i	$-0.125020\pi$
$709$	7.30544	+	10.0551i	0.274361	+	0.377626i	−0.649495	+	0.760366i	$0.725020\pi$
$710$	10.9677	−	10.8871i	0.411609	−	0.408586i
$711$	2.42613	+	7.46687i	0.0909871	+	0.280029i
$712$	−0.853300	−	5.80199i	−0.0319788	−	0.217439i
$713$	21.5875	+	0.782407i	0.808459	+	0.0293014i
$714$	3.04190	+	4.72212i	0.113840	+	0.176721i
$715$	10.1017	−	3.28225i	0.377783	−	0.122749i
$716$	−8.25235	+	37.4642i	−0.308405	+	1.40010i
$717$	60.2462	−	43.7714i	2.24994	−	1.63467i
$718$	1.16198	+	23.8537i	0.0433648	+	0.890212i
$719$	14.2612	+	24.7012i	0.531854	+	0.921199i	0.999309	+	0.0371815i	$0.0118380\pi$
$719$	14.2612	+	24.7012i	0.531854	+	0.921199i	−0.467454	+	0.884017i	$0.654829\pi$
$720$	−28.9057	−	93.6373i	−1.07725	−	3.48966i
$721$	−5.08458	−	3.69417i	−0.189360	−	0.137578i
$722$	10.5531	+	6.90869i	0.392746	+	0.257115i
$723$	−18.6671	+	87.8219i	−0.694238	+	3.26613i
$724$	−7.60490	+	22.8315i	−0.282634	+	0.848525i
$725$	−8.39443	−	7.55838i	−0.311761	−	0.280711i
$726$	−11.9788	+	44.0556i	−0.444577	+	1.63506i
$727$	1.06835	+	0.112288i	0.0396229	+	0.00416454i	0.124319	−	0.992242i	$-0.460325\pi$
$727$	1.06835	+	0.112288i	0.0396229	+	0.00416454i	−0.0846963	+	0.996407i	$0.526992\pi$
$728$	−0.647332	+	3.81370i	−0.0239917	+	0.141345i
$729$	−4.25722	+	13.1024i	−0.157675	+	0.485274i
$730$	8.77023	+	17.3705i	0.324601	+	0.642912i
$731$	−2.51802	+	2.26724i	−0.0931324	+	0.0838568i
$732$	−25.9906	+	11.3429i	−0.960639	+	0.419247i
$733$	3.02114	+	28.7442i	0.111588	+	1.06169i	0.896792	+	0.442453i	$0.145892\pi$
$733$	3.02114	+	28.7442i	0.111588	+	1.06169i	−0.785203	+	0.619238i	$0.787442\pi$
$734$	2.05179	+	5.40455i	0.0757330	+	0.199486i
$735$	−73.7251	+	32.8245i	−2.71939	+	1.21075i
$736$	−17.3079	+	13.4953i	−0.637978	+	0.497443i
$737$	4.00944	−	9.00535i	0.147690	−	0.331716i
$738$	−16.9167	+	32.9006i	−0.622713	+	1.21109i
$739$	−7.66541	+	13.2769i	−0.281977	+	0.488398i	−0.971872	−	0.235512i	$-0.924323\pi$
$739$	−7.66541	+	13.2769i	−0.281977	+	0.488398i	0.689895	+	0.723910i	$0.257657\pi$
$740$	−17.5348	+	3.59226i	−0.644593	+	0.132054i
$741$	−38.3466	+	8.15081i	−1.40870	+	0.299428i
$742$	−2.29840	+	2.81700i	−0.0843770	+	0.103415i
$743$	−47.6373			−1.74764			−0.873821	−	0.486248i	$-0.838365\pi$
$743$	−47.6373			−1.74764			−0.873821	+	0.486248i	$0.838365\pi$
$744$	−45.8718	+	15.1625i	−1.68174	+	0.555885i
$745$	75.8621			2.77937
$746$	5.34562	−	6.55177i	0.195717	−	0.239877i
$747$	−69.9230	+	14.8626i	−2.55835	+	0.543794i
$748$	5.15593	−	1.05627i	0.188520	−	0.0386210i
$749$	−0.652601	+	1.13034i	−0.0238455	+	0.0413017i
$750$	−34.8696	+	67.8164i	−1.27326	+	2.47630i
$751$	10.8055	−	24.2696i	0.394299	−	0.885609i	−0.601906	−	0.798567i	$-0.705592\pi$
$751$	10.8055	−	24.2696i	0.394299	−	0.885609i	0.996205	−	0.0870423i	$-0.0277415\pi$
$752$	−10.4057	+	0.938816i	−0.379456	+	0.0342351i
$753$	48.8165	−	21.7345i	1.77897	−	0.792050i
$754$	2.37704	+	6.26129i	0.0865669	+	0.228023i
$755$	5.34817	+	50.8844i	0.194640	+	1.85187i
$756$	6.51968	−	2.84535i	0.237118	−	0.103485i
$757$	12.8121	−	11.5361i	0.465664	−	0.419286i	−0.402609	−	0.915372i	$-0.631897\pi$
$757$	12.8121	−	11.5361i	0.465664	−	0.419286i	0.868273	+	0.496086i	$0.165230\pi$
$758$	−17.7916	−	35.2384i	−0.646220	−	1.27992i
$759$	−2.54042	+	7.81862i	−0.0922115	+	0.283798i
$760$	33.8301	+	5.74227i	1.22715	+	0.208294i
$761$	−43.8525	−	4.60909i	−1.58965	−	0.167079i	−0.731999	−	0.681306i	$-0.761412\pi$
$761$	−43.8525	−	4.60909i	−1.58965	−	0.167079i	−0.857654	+	0.514227i	$0.828079\pi$
$762$	14.6477	−	53.8709i	0.530629	−	1.95154i
$763$	2.94826	+	2.65463i	0.106734	+	0.0961040i
$764$	0.413179	−	1.24045i	0.0149483	−	0.0448778i
$765$	19.4070	−	91.3026i	0.701661	−	3.30105i
$766$	−18.3883	−	12.0381i	−0.664396	−	0.434954i
$767$	18.3650	+	13.3430i	0.663123	+	0.481787i
$768$	25.7854	−	41.7676i	0.930451	−	1.50716i
$769$	−6.34541	−	10.9906i	−0.228822	−	0.396330i	0.728638	−	0.684899i	$-0.240154\pi$
$769$	−6.34541	−	10.9906i	−0.228822	−	0.396330i	−0.957459	+	0.288569i	$0.906821\pi$
$770$	−0.0617070	−	1.26675i	−0.00222377	−	0.0456505i
$771$	−12.8295	+	9.32115i	−0.462042	+	0.335693i
$772$	9.91436	−	45.0095i	0.356826	−	1.61993i
$773$	29.3962	−	9.55140i	1.05731	−	0.343540i	0.271775	−	0.962361i	$-0.412389\pi$
$773$	29.3962	−	9.55140i	1.05731	−	0.343540i	0.785532	+	0.618821i	$0.212389\pi$
$774$	4.36708	+	6.77927i	0.156971	+	0.243676i
$775$	48.0094	+	23.4943i	1.72455	+	0.843941i
$776$	−14.3996	+	2.11774i	−0.516914	+	0.0760226i
$777$	−0.754533	−	2.32221i	−0.0270687	−	0.0833089i
$778$	−15.7942	+	15.6782i	−0.566250	+	0.562091i
$779$	−7.61408	−	10.4799i	−0.272803	−	0.375481i
$780$	76.7434	−	54.8976i	2.74785	−	1.96565i
$781$	1.71063	−	0.987631i	0.0612110	−	0.0353402i
$782$	−20.6594	+	3.19412i	−0.738777	+	0.114221i
$783$	7.23919	−	9.96389i	0.258708	−	0.356080i
$784$	−24.9895	−	11.5704i	−0.892481	−	0.413228i
$785$	10.8254	+	2.30102i	0.386377	+	0.0821269i
$786$	−24.8428	−	30.9105i	−0.886113	−	1.10254i
$787$	−8.31474	+	9.23445i	−0.296388	+	0.329173i	−0.872884	−	0.487927i	$-0.837753\pi$
$787$	−8.31474	+	9.23445i	−0.296388	+	0.329173i	0.576496	+	0.817100i	$0.304420\pi$
$788$	9.19369	+	29.0214i	0.327512	+	1.03384i
$789$	−2.83286	+	26.9529i	−0.100852	+	0.959547i
$790$	6.39752	−	1.68896i	0.227613	−	0.0600906i
$791$	−3.13959	−	1.02011i	−0.111631	−	0.0362711i
$792$	−0.517213	−	12.5151i	−0.0183783	−	0.444705i
$793$	−12.4467	−	13.8234i	−0.441994	−	0.490885i
$794$	−0.496754	−	0.0805558i	−0.0176291	−	0.00285882i
$795$	88.1983	−	9.27002i	3.12807	−	0.328774i
$796$	25.6815	−	34.8051i	0.910256	−	1.23364i
$797$	20.0507	+	45.0346i	0.710232	+	1.59521i	0.800530	+	0.599293i	$0.204551\pi$
$797$	20.0507	+	45.0346i	0.710232	+	1.59521i	−0.0902977	+	0.995915i	$0.528782\pi$
$798$	−0.262210	+	4.67364i	−0.00928215	+	0.165445i
$799$	−9.09128	−	4.04770i	−0.321626	−	0.143197i
$800$	−52.7048	+	13.0863i	−1.86340	+	0.462670i
$801$	−11.5130	−	6.64705i	−0.406793	−	0.234862i
$802$	−14.4470	+	37.2250i	−0.510140	+	1.31446i
$803$	0.517118	+	2.43285i	0.0182487	+	0.0858534i
$804$	9.79526	−	87.0206i	0.345452	−	3.06898i
$805$			5.03752i			0.177549i
$806$	−18.9449	−	25.4044i	−0.667306	−	0.894831i
$807$		−	59.4325i		−	2.09212i
$808$	16.6808	+	33.6526i	0.586828	+	1.18389i
$809$	−6.28920	−	29.5883i	−0.221116	−	1.04027i	−0.938949	−	0.344055i	$-0.888199\pi$
$809$	−6.28920	−	29.5883i	−0.221116	−	1.04027i	0.717833	−	0.696215i	$-0.245134\pi$
$810$	−64.8630	−	25.1732i	−2.27905	−	0.884497i
$811$	7.78411	+	4.49416i	0.273337	+	0.157811i	0.630403	−	0.776268i	$-0.282890\pi$
$811$	7.78411	+	4.49416i	0.273337	+	0.157811i	−0.357066	+	0.934079i	$0.616223\pi$
$812$	0.795895	−	0.0777251i	0.0279304	−	0.00272762i
$813$	4.95198	+	2.20476i	0.173673	+	0.0773244i
$814$	−2.28422	−	0.128154i	−0.0800617	−	0.00449179i
$815$	−8.01033	−	17.9915i	−0.280590	−	0.630214i
$816$	40.8305	−	22.7777i	1.42935	−	0.797378i
$817$	−2.80820	+	0.295153i	−0.0982463	+	0.0103261i
$818$	7.67809	−	47.3476i	0.268458	−	1.65547i
$819$	5.86760	+	6.51663i	0.205030	+	0.227709i
$820$	26.8856	+	15.7877i	0.938884	+	0.551332i
$821$	2.18333	+	0.709407i	0.0761987	+	0.0247585i	0.346868	−	0.937914i	$-0.387245\pi$
$821$	2.18333	+	0.709407i	0.0761987	+	0.0247585i	−0.270670	+	0.962672i	$0.587245\pi$
$822$	−17.1342	−	64.9016i	−0.597624	−	2.26370i
$823$	0.797140	−	7.58428i	0.0277865	−	0.264371i	−0.971805	−	0.235787i	$-0.924233\pi$
$823$	0.797140	−	7.58428i	0.0277865	−	0.264371i	0.999591	−	0.0285846i	$-0.00909999\pi$
$824$	−33.3690	+	40.2882i	−1.16246	+	1.40351i
$825$	−13.6111	+	15.1167i	−0.473878	+	0.526295i
$826$	2.11273	−	1.69800i	0.0735113	−	0.0590810i
$827$	−30.5651	−	6.49680i	−1.06285	−	0.225916i	−0.356876	−	0.934152i	$-0.616158\pi$
$827$	−30.5651	−	6.49680i	−1.06285	−	0.225916i	−0.705976	+	0.708236i	$0.749491\pi$
$828$	−0.366719	+	49.7514i	−0.0127443	+	1.72898i
$829$	−6.30397	+	8.67667i	−0.218946	+	0.301353i	−0.904335	−	0.426824i	$-0.859632\pi$
$829$	−6.30397	+	8.67667i	−0.218946	+	0.301353i	0.685389	+	0.728177i	$0.259632\pi$
$830$	9.20513	+	59.5382i	0.319515	+	2.06660i
$831$	30.6334	−	17.6862i	1.06266	−	0.613527i
$832$	31.3383	+	7.38899i	1.08646	+	0.256167i
$833$	−15.4176	−	21.2205i	−0.534189	−	0.735248i
$834$	52.8692	+	53.2603i	1.83071	+	1.84425i
$835$	−5.85540	−	18.0211i	−0.202635	−	0.623645i
$836$	3.99349	+	1.81340i	0.138118	+	0.0627179i
$837$	−20.0044	+	54.7365i	−0.691453	+	1.89197i
$838$	−22.0065	+	14.1761i	−0.760202	+	0.489707i
$839$	−29.5645	+	9.60608i	−1.02068	+	0.331639i	−0.771099	−	0.636715i	$-0.780293\pi$
$839$	−29.5645	+	9.60608i	−1.02068	+	0.331639i	−0.249580	+	0.968354i	$0.580293\pi$
$840$	−3.92104	−	10.5622i	−0.135289	−	0.364432i
$841$	−22.3414	+	16.2320i	−0.770392	+	0.559723i
$842$	−13.4988	+	0.657566i	−0.465199	+	0.0226612i
$843$	−40.4653	−	70.0880i	−1.39370	−	2.41396i
$844$	−27.1053	−	30.5534i	−0.933002	−	1.05169i
$845$	9.88661	+	7.18305i	0.340110	+	0.247104i
$846$	−12.9727	+	19.8159i	−0.446009	+	0.681284i
$847$	−0.743450	+	3.49766i	−0.0255452	+	0.120181i
$848$	22.1880	+	20.5784i	0.761938	+	0.706666i
$849$	17.1710	+	15.4609i	0.589309	+	0.530616i
$850$	−49.9134	−	13.5716i	−1.71201	−	0.465502i
$851$	9.03745	+	0.949874i	0.309800	+	0.0325613i
$852$	11.8372	−	12.9533i	0.405537	−	0.443773i
$853$	8.59127	−	26.4412i	0.294159	−	0.905330i	−0.689343	−	0.724435i	$-0.742101\pi$
$853$	8.59127	−	26.4412i	0.294159	−	0.905330i	0.983502	−	0.180895i	$-0.0578993\pi$
$854$	−1.98267	+	1.00104i	−0.0678457	+	0.0342547i
$855$	57.8069	−	52.0495i	1.97695	−	1.78006i
$856$	9.04530	+	6.01730i	0.309162	+	0.205667i
$857$	4.62647	+	44.0180i	0.158037	+	1.50363i	0.730058	+	0.683386i	$0.239493\pi$
$857$	4.62647	+	44.0180i	0.158037	+	1.50363i	−0.572020	+	0.820239i	$0.693840\pi$
$858$	11.2753	−	4.28058i	0.384933	−	0.146137i
$859$	−11.5543	+	5.14431i	−0.394228	+	0.175522i	−0.594270	−	0.804266i	$-0.702559\pi$
$859$	−11.5543	+	5.14431i	−0.394228	+	0.175522i	0.200042	+	0.979787i	$0.435892\pi$
$860$	5.91057	−	3.35463i	0.201549	−	0.114392i
$861$	−1.72995	+	3.88552i	−0.0589564	+	0.132418i
$862$	−29.2582	−	15.0439i	−0.996539	−	0.512397i
$863$	1.80915	−	3.13353i	0.0615841	−	0.106667i	−0.833590	−	0.552384i	$-0.813718\pi$
$863$	1.80915	−	3.13353i	0.0615841	−	0.106667i	0.895174	+	0.445718i	$0.147051\pi$
$864$	−20.1968	−	55.6589i	−0.687109	−	1.89355i
$865$	15.5923	−	3.31424i	0.530153	−	0.112687i
$866$	5.34149	+	4.35815i	0.181511	+	0.148096i
$867$	−7.62042			−0.258803
$868$	−3.52061	+	1.38695i	−0.119497	+	0.0470760i
$869$	0.845732			0.0286895
$870$	−15.1140	−	12.3316i	−0.512412	−	0.418080i
$871$	56.1861	−	11.9427i	1.90379	−	0.404664i
$872$	23.6068	−	23.0905i	0.799427	−	0.781942i
$873$	−16.4968	+	28.5734i	−0.558333	+	0.967062i
$874$	−15.4930	−	7.96613i	−0.524058	−	0.269458i
$875$	−2.42924	+	5.45616i	−0.0821232	+	0.184452i
$876$	10.9062	+	19.2159i	0.368487	+	0.649244i
$877$	−40.8069	+	18.1684i	−1.37795	+	0.613504i	−0.956068	−	0.293145i	$-0.905298\pi$
$877$	−40.8069	+	18.1684i	−1.37795	+	0.613504i	−0.421885	+	0.906649i	$0.638631\pi$
$878$	5.56981	−	2.11453i	0.187972	−	0.0713619i
$879$	−1.67535	−	15.9399i	−0.0565082	−	0.537640i
$880$	−10.5552	−	0.155614i	−0.355817	−	0.00524575i
$881$	12.0167	−	10.8199i	0.404855	−	0.364533i	−0.441401	−	0.897310i	$-0.645518\pi$
$881$	12.0167	−	10.8199i	0.404855	−	0.364533i	0.846255	+	0.532777i	$0.178852\pi$
$882$	−55.7265	+	28.1359i	−1.87641	+	0.947384i
$883$	−1.71861	+	5.28934i	−0.0578359	+	0.178001i	−0.975801	−	0.218661i	$-0.929831\pi$
$883$	−1.71861	+	5.28934i	−0.0578359	+	0.178001i	0.917965	+	0.396661i	$0.129831\pi$
$884$	22.6391	+	20.6885i	0.761434	+	0.695829i
$885$	−65.7545	−	6.91107i	−2.21031	−	0.232313i
$886$	39.6655	+	10.7852i	1.33259	+	0.362335i
$887$	34.7893	+	31.3245i	1.16811	+	1.05177i	0.997794	+	0.0663835i	$0.0211461\pi$
$887$	34.7893	+	31.3245i	1.16811	+	1.05177i	0.170318	+	0.985389i	$0.445521\pi$
$888$	−19.6883	+	5.04283i	−0.660695	+	0.169226i
$889$	0.909087	−	4.27692i	0.0304898	−	0.143443i
$890$	−6.13666	+	9.37382i	−0.205701	+	0.314211i
$891$	−7.19467	−	5.22724i	−0.241031	−	0.175119i
$892$	−35.2461	+	31.2684i	−1.18013	+	1.04694i
$893$	−4.14660	−	7.18212i	−0.138761	−	0.240340i
$894$	86.0373	−	4.19113i	2.87752	−	0.140172i
$895$	59.2936	−	43.0793i	1.98196	−	1.43998i
$896$	1.83315	−	3.37931i	0.0612412	−	0.112895i
$897$	−45.5600	+	14.8034i	−1.52121	+	0.494270i
$898$	17.6170	−	11.3485i	0.587886	−	0.378705i
$899$	−4.04025	+	5.15722i	−0.134750	+	0.172003i
$900$	−50.8989	+	112.090i	−1.69663	+	3.73633i
$901$	8.90721	+	27.4136i	0.296742	+	0.913279i
$902$	2.80751	+	2.82828i	0.0934799	+	0.0941715i
$903$	0.544944	+	0.750051i	0.0181346	+	0.0249601i
$904$	−10.1301	+	25.5420i	−0.336920	+	0.849513i
$905$	39.8159	−	22.9877i	1.32352	−	0.764137i
$906$	8.87670	+	57.4140i	0.294909	+	1.90745i
$907$	−32.3091	+	44.4697i	−1.07281	+	1.47659i	−0.205605	+	0.978635i	$0.565916\pi$
$907$	−32.3091	+	44.4697i	−1.07281	+	1.47659i	−0.867202	+	0.497957i	$0.834084\pi$
$908$	−22.6002	−	0.166587i	−0.750014	−	0.00552837i
$909$	83.2843	+	17.7026i	2.76237	+	0.587159i
$910$	5.76041	−	4.62964i	0.190956	−	0.153471i
$911$	−13.0568	+	14.5010i	−0.432591	+	0.480441i	−0.919544	−	0.392987i	$-0.871442\pi$
$911$	−13.0568	+	14.5010i	−0.432591	+	0.480441i	0.486953	+	0.873428i	$0.338108\pi$
$912$	38.6849	+	4.64347i	1.28098	+	0.153761i
$913$	−0.804916	+	7.65827i	−0.0266388	+	0.253452i
$914$	−7.56129	−	28.6409i	−0.250105	−	0.947358i
$915$	51.5259	+	16.7418i	1.70339	+	0.553466i
$916$	17.7839	−	30.2850i	0.587598	−	1.00064i
$917$	−2.07829	−	2.30818i	−0.0686313	−	0.0762228i
$918$	9.02772	−	55.6701i	0.297959	−	1.83739i
$919$	−51.4103	+	5.40344i	−1.69587	+	0.178243i	−0.902557	−	0.430570i	$-0.858312\pi$
$919$	−51.4103	+	5.40344i	−1.69587	+	0.178243i	−0.793313	+	0.608814i	$0.791646\pi$
$920$	41.8459	+	2.65727i	1.37962	+	0.0876077i
$921$	−25.4067	−	57.0644i	−0.837180	−	1.88034i
$922$	12.9889	+	0.728732i	0.427767	+	0.0239995i
$923$	10.5150	+	4.68157i	0.346105	+	0.154096i
$924$	−0.139967	−	1.43325i	−0.00460459	−	0.0471503i
$925$	19.4725	+	11.2424i	0.640251	+	0.369649i
$926$	50.0400	+	19.4205i	1.64442	+	0.638196i
$927$	24.6559	+	115.997i	0.809807	+	3.80984i
$928$	−0.225819	−	6.65237i	−0.00741288	−	0.218375i
$929$			31.6496i			1.03839i	0.854656	+	0.519194i	$0.173768\pi$
$929$			31.6496i			1.03839i	−0.854656	+	0.519194i	$0.826232\pi$
$930$	84.7820	+	36.4898i	2.78011	+	1.19655i
$931$		−	21.8588i		−	0.716392i
$932$	−27.2903	−	3.07187i	−0.893925	−	0.100622i
$933$	13.5766	+	63.8731i	0.444479	+	2.09111i
$934$	−13.9325	+	35.8994i	−0.455885	+	1.17466i
$935$	−8.70783	−	5.02747i	−0.284776	−	0.164416i
$936$	57.2277	−	45.3037i	1.87055	−	1.48080i
$937$	−9.25372	−	4.12002i	−0.302306	−	0.134595i	0.249978	−	0.968252i	$-0.419577\pi$
$937$	−9.25372	−	4.12002i	−0.302306	−	0.134595i	−0.552283	+	0.833656i	$0.686243\pi$
$938$	0.384195	−	6.84790i	0.0125444	−	0.223592i
$939$	−21.0965	−	47.3836i	−0.688459	−	1.54630i
$940$	16.0616	+	11.8513i	0.523872	+	0.386547i
$941$	−31.9740	+	3.36060i	−1.04232	+	0.109553i	−0.610188	−	0.792257i	$-0.708906\pi$
$941$	−31.9740	+	3.36060i	−1.04232	+	0.109553i	−0.432135	+	0.901809i	$0.642239\pi$
$942$	12.4046	+	2.01158i	0.404162	+	0.0655408i
$943$	−10.5917	−	11.7633i	−0.344913	−	0.383065i
$944$	−12.9906	−	18.4458i	−0.422807	−	0.600360i
$945$	−12.9252	−	4.19964i	−0.420455	−	0.136614i
$946$	0.839898	−	0.221736i	0.0273074	−	0.00720925i
$947$	2.47480	−	23.5461i	0.0804201	−	0.765146i	−0.877783	−	0.479058i	$-0.840978\pi$
$947$	2.47480	−	23.5461i	0.0804201	−	0.765146i	0.958203	−	0.286088i	$-0.0923550\pi$
$948$	7.16229	−	2.26894i	0.232620	−	0.0736918i
$949$	−9.69785	+	10.7706i	−0.314806	+	0.349627i
$950$	−27.0035	−	33.5990i	−0.876109	−	1.09010i
$951$	22.6753	+	4.81979i	0.735298	+	0.156292i
$952$	3.09298	−	1.96033i	0.100244	−	0.0635346i
$953$	35.7013	−	49.1387i	1.15648	−	1.59176i	0.433032	−	0.901379i	$-0.357444\pi$
$953$	35.7013	−	49.1387i	1.15648	−	1.59176i	0.723448	−	0.690379i	$-0.242556\pi$
$954$	67.7954	−	10.4818i	2.19496	−	0.339360i
$955$	−2.16322	+	1.24894i	−0.0700001	+	0.0404146i
$956$	−28.2452	−	39.4849i	−0.913514	−	1.27703i
$957$	−1.46550	−	2.01709i	−0.0473730	−	0.0652034i
$958$	−14.0580	+	13.9547i	−0.454192	+	0.450857i
$959$	−1.62462	−	5.00007i	−0.0524617	−	0.161461i
$960$	−89.8071	+	26.9999i	−2.89851	+	0.871418i
$961$	11.6887	−	28.7119i	0.377055	−	0.926191i
$962$	−7.21951	−	11.2073i	−0.232766	−	0.361337i
$963$	23.4223	−	7.61036i	0.754772	−	0.245240i
$964$	57.1615	+	12.5911i	1.84105	+	0.405533i
$965$	−71.2352	+	51.7554i	−2.29314	+	1.66607i
$966$	0.278306	+	5.71319i	0.00895436	+	0.183819i
$967$	13.1052	+	22.6989i	0.421436	+	0.729948i	0.996080	−	0.0884551i	$-0.0281930\pi$
$967$	13.1052	+	22.6989i	0.421436	+	0.729948i	−0.574644	+	0.818403i	$0.694860\pi$
$968$	28.6623	+	8.02072i	0.921242	+	0.257796i
$969$	30.0241	+	21.8138i	0.964512	+	0.700759i
$970$	23.2642	+	15.2301i	0.746969	+	0.489010i
$971$	8.28818	−	38.9928i	0.265980	−	1.25134i	−0.618881	−	0.785485i	$-0.712414\pi$
$971$	8.28818	−	38.9928i	0.265980	−	1.25134i	0.884861	−	0.465855i	$-0.154253\pi$
$972$	−15.3704	−	5.11969i	−0.493005	−	0.164214i
$973$	4.36799	+	3.93295i	0.140031	+	0.126085i
$974$	4.03995	−	14.8580i	0.129448	−	0.476082i
$975$	−117.883	−	12.3900i	−3.77528	−	0.396797i
$976$	7.26959	+	16.9978i	0.232694	+	0.544086i
$977$	3.31687	−	10.2083i	0.106116	−	0.326592i	−0.883875	−	0.467724i	$-0.845074\pi$
$977$	3.31687	−	10.2083i	0.106116	−	0.326592i	0.989991	+	0.141132i	$0.0450742\pi$
$978$	−10.0787	−	19.9621i	−0.322281	−	0.638318i
$979$	−1.06422	+	0.958231i	−0.0340127	+	0.0306252i
$980$	21.0441	+	48.2192i	0.672229	+	1.54031i
$981$	−7.82478	−	74.4478i	−0.249826	−	2.37694i
$982$	−11.7795	−	31.0280i	−0.375900	−	0.990144i
$983$	−45.4567	+	20.2386i	−1.44984	+	0.645512i	−0.972436	−	0.233170i	$-0.925090\pi$
$983$	−45.4567	+	20.2386i	−1.44984	+	0.645512i	−0.477407	+	0.878682i	$0.658423\pi$
$984$	31.3639	+	16.4200i	0.999844	+	0.523450i
$985$	23.6561	−	53.1325i	0.753746	−	1.69294i
$986$	2.89911	−	5.63836i	0.0923265	−	0.179562i
$987$	−1.36148	+	2.35816i	−0.0433365	+	0.0750610i
$988$	5.12926	+	25.0373i	0.163184	+	0.796544i
$989$	−3.37500	+	0.717378i	−0.107319	+	0.0228113i
$990$	−15.1283	+	18.5418i	−0.480810	+	0.589297i
$991$	−39.0002			−1.23888			−0.619441	−	0.785044i	$-0.712641\pi$
$991$	−39.0002			−1.23888			−0.619441	+	0.785044i	$0.712641\pi$
$992$	9.66404	+	29.9768i	0.306834	+	0.951763i
$993$	−30.3612			−0.963484
$994$	0.868831	−	1.06487i	0.0275577	−	0.0337756i
$995$	−80.8311	+	17.1812i	−2.56252	+	0.544680i
$996$	13.7291	+	67.0154i	0.435023	+	2.12346i
$997$	3.97215	−	6.87997i	0.125799	−	0.217891i	−0.796246	−	0.604973i	$-0.793184\pi$
$997$	3.97215	−	6.87997i	0.125799	−	0.217891i	0.922045	+	0.387082i	$0.126517\pi$
$998$	−2.70733	+	5.26538i	−0.0856992	+	0.166673i
$999$	−9.97143	+	22.3962i	−0.315482	+	0.708584i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	124.2.p.a.55.4	✓	112
4.3	odd	2	inner	124.2.p.a.55.14	yes	112
31.22	odd	30	inner	124.2.p.a.115.14	yes	112
124.115	even	30	inner	124.2.p.a.115.4	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
124.2.p.a.55.4	✓	112	1.1	even	1	trivial
124.2.p.a.55.14	yes	112	4.3	odd	2	inner
124.2.p.a.115.4	yes	112	124.115	even	30	inner
124.2.p.a.115.14	yes	112	31.22	odd	30	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 124 = 2^{2} \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	124.p (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.894038 + 1.09576i) q^{2} +(3.00083 - 0.637845i) q^{3} +(-0.401393 - 1.95931i) q^{4} +(-1.91049 + 3.30907i) q^{5} +(-1.98392 + 3.85845i) q^{6} +(-0.138213 + 0.310431i) q^{7} +(2.50580 + 1.31186i) q^{8} +(5.85747 - 2.60791i) q^{9} +(-1.91790 - 5.05187i) q^{10} +(-0.0721963 - 0.686902i) q^{11} +(-2.45424 - 5.62351i) q^{12} +(2.99094 - 2.69305i) q^{13} +(-0.216591 - 0.428986i) q^{14} +(-3.62237 + 11.1485i) q^{15} +(-3.67777 + 1.57290i) q^{16} +(-3.78912 - 0.398253i) q^{17} +(-2.37914 + 8.74997i) q^{18} +(-2.35953 - 2.12453i) q^{19} +(7.25033 + 2.41500i) q^{20} +(-0.216746 + 1.01971i) q^{21} +(0.817228 + 0.535006i) q^{22} +(-3.13881 - 2.28048i) q^{23} +(8.35622 + 2.33836i) q^{24} +(-4.79994 - 8.31374i) q^{25} +(0.276936 + 5.68505i) q^{26} +(8.46793 - 6.15231i) q^{27} +(0.663708 + 0.146197i) q^{28} +(1.11907 - 0.363608i) q^{29} +(-8.97760 - 13.9365i) q^{30} +(-4.61999 + 3.10735i) q^{31} +(1.56454 - 5.43620i) q^{32} +(-0.654785 - 2.01522i) q^{33} +(3.82401 - 3.79593i) q^{34} +(-0.763183 - 1.05043i) q^{35} +(-7.46085 - 10.4298i) q^{36} +(-2.02841 + 1.17110i) q^{37} +(4.43748 - 0.686074i) q^{38} +(7.25754 - 9.98914i) q^{39} +(-9.12834 + 5.78554i) q^{40} +(3.99073 + 0.848255i) q^{41} +(-0.923580 - 1.14916i) q^{42} +(0.595076 - 0.660899i) q^{43} +(-1.31687 + 0.417172i) q^{44} +(-2.56088 + 24.3651i) q^{45} +(5.30508 - 1.40056i) q^{46} +(2.48414 + 0.807148i) q^{47} +(-10.0331 + 7.06585i) q^{48} +(4.60665 + 5.11620i) q^{49} +(13.4012 + 2.17320i) q^{50} +(-11.6245 + 1.22179i) q^{51} +(-6.47706 - 4.77920i) q^{52} +(-3.07715 - 6.91139i) q^{53} +(-0.829176 + 14.7792i) q^{54} +(2.41093 + 1.07342i) q^{55} +(-0.753577 + 0.596561i) q^{56} +(-8.43564 - 4.87032i) q^{57} +(-0.602064 + 1.55132i) q^{58} +(1.17268 + 5.51702i) q^{59} +(23.2974 + 2.62241i) q^{60} -4.62177i q^{61} +(0.725527 - 7.84051i) q^{62} +2.17879i q^{63} +(4.55803 + 6.57453i) q^{64} +(3.19733 + 15.0423i) q^{65} +(2.79361 + 1.08420i) q^{66} +(12.3601 + 7.13608i) q^{67} +(0.740626 + 7.58391i) q^{68} +(-10.8736 - 4.84124i) q^{69} +(1.83334 + 0.102858i) q^{70} +(1.16321 + 2.61261i) q^{71} +(18.0989 + 1.14930i) q^{72} +(-3.58133 + 0.376413i) q^{73} +(0.530223 - 3.26966i) q^{74} +(-19.7067 - 21.8865i) q^{75} +(-3.21550 + 5.47581i) q^{76} +(0.223214 + 0.0725267i) q^{77} +(4.45722 + 16.8832i) q^{78} +(-0.127993 + 1.21777i) q^{79} +(1.82150 - 15.1750i) q^{80} +(8.61557 - 9.56856i) q^{81} +(-4.49735 + 3.61452i) q^{82} +(-10.9054 - 2.31801i) q^{83} +(2.08492 + 0.0153680i) q^{84} +(8.55692 - 11.7776i) q^{85} +(0.192168 + 1.24293i) q^{86} +(3.12621 - 1.80492i) q^{87} +(0.720212 - 1.81595i) q^{88} +(-1.21870 - 1.67740i) q^{89} +(-24.4089 - 24.5895i) q^{90} +(0.422622 + 1.30070i) q^{91} +(-3.20826 + 7.06526i) q^{92} +(-11.8818 + 12.2715i) q^{93} +(-3.10536 + 2.00041i) q^{94} +(11.5380 - 3.74894i) q^{95} +(1.22745 - 17.3110i) q^{96} +(-4.16302 + 3.02461i) q^{97} +(-9.72466 + 0.473717i) q^{98} +(-2.21427 - 3.83523i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 6 q^{2} - 10 q^{4} - 8 q^{5} - 33 q^{6} - 9 q^{8} - 8 q^{9} + 4 q^{10} - 31 q^{12} - 2 q^{13} - 16 q^{14} - 18 q^{16} - 14 q^{17} - q^{18} + 29 q^{20} + 6 q^{21} - 23 q^{22} - 16 q^{24} - 24 q^{25}+ \cdots + 20 q^{98}+O(q^{100}) \) 112 * q - 6 * q^2 - 10 * q^4 - 8 * q^5 - 33 * q^6 - 9 * q^8 - 8 * q^9 + 4 * q^10 - 31 * q^12 - 2 * q^13 - 16 * q^14 - 18 * q^16 - 14 * q^17 - q^18 + 29 * q^20 + 6 * q^21 - 23 * q^22 - 16 * q^24 - 24 * q^25 + 9 * q^26 - 16 * q^28 - 20 * q^29 - 26 * q^32 - 32 * q^33 - 30 * q^34 - 5 * q^36 - 12 * q^37 - 6 * q^38 + 25 * q^40 - 18 * q^41 + 37 * q^42 + 59 * q^44 - 54 * q^45 + 30 * q^46 - 28 * q^48 - 68 * q^49 + 47 * q^50 - 5 * q^52 - 38 * q^53 + 110 * q^54 - 14 * q^56 - 60 * q^57 + 15 * q^58 + 155 * q^60 + 19 * q^62 + 95 * q^64 + 36 * q^65 + 74 * q^66 + 174 * q^68 + 64 * q^70 + 21 * q^72 - 50 * q^73 + 55 * q^74 + 46 * q^76 - 20 * q^77 + 41 * q^78 - 26 * q^80 - 14 * q^81 - 102 * q^82 - 8 * q^84 + 30 * q^85 - 30 * q^86 - 87 * q^88 - 40 * q^89 + 21 * q^90 - 102 * q^93 + 72 * q^94 + 30 * q^96 + 20 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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