LMFDB - Embedded newform 92.2.h.a.15.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [92,2,Mod(7,92)] 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("92.7"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(92, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([11, 19])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 92 = 2^{2} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	92.h (of order $22$, degree $10$, 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:	$0.734623698596$
Analytic rank:	$0$
Dimension:	$100$
Relative dimension:	$10$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			15.3
Character	$\chi$	$=$	92.15
Dual form			92.2.h.a.43.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.19684 + 0.753380i) q^{2} +(-0.340970 + 0.155716i) q^{3} +(0.864836 - 1.80335i) q^{4} +(1.65610 - 1.43502i) q^{5} +(0.290772 - 0.443246i) q^{6} +(3.14077 + 2.01845i) q^{7} +(0.323539 + 2.80986i) q^{8} +(-1.87257 + 2.16106i) q^{9} +(-0.900968 + 2.96516i) q^{10} +(-0.162776 - 1.13213i) q^{11} +(-0.0140735 + 0.749555i) q^{12} +(2.71951 - 1.74772i) q^{13} +(-5.27965 - 0.0495605i) q^{14} +(-0.341226 + 0.747180i) q^{15} +(-2.50412 - 3.11920i) q^{16} +(-1.03533 - 3.52600i) q^{17} +(0.613059 - 3.99719i) q^{18} +(1.68979 + 0.496168i) q^{19} +(-1.15559 - 4.22759i) q^{20} +(-1.38521 - 0.199163i) q^{21} +(1.04775 + 1.23235i) q^{22} +(-4.46833 + 1.74184i) q^{23} +(-0.547856 - 0.907697i) q^{24} +(-0.0281822 + 0.196011i) q^{25} +(-1.93811 + 4.14056i) q^{26} +(0.618795 - 2.10742i) q^{27} +(6.35622 - 3.91827i) q^{28} +(-8.53724 + 2.50676i) q^{29} +(-0.154520 - 1.15133i) q^{30} +(-9.07531 - 4.14456i) q^{31} +(5.34696 + 1.84662i) q^{32} +(0.231793 + 0.360677i) q^{33} +(3.89553 + 3.44005i) q^{34} +(8.09797 - 1.16431i) q^{35} +(2.27768 + 5.24585i) q^{36} +(4.67281 + 4.04902i) q^{37} +(-2.39621 + 0.679225i) q^{38} +(-0.655122 + 1.01939i) q^{39} +(4.56803 + 4.18914i) q^{40} +(-0.800388 - 0.923697i) q^{41} +(1.80792 - 0.805226i) q^{42} +(-1.14894 - 2.51582i) q^{43} +(-2.18241 - 0.685568i) q^{44} +6.26612i q^{45} +(4.03559 - 5.45106i) q^{46} -2.26417i q^{47} +(1.33954 + 0.673621i) q^{48} +(2.88240 + 6.31158i) q^{49} +(-0.113942 - 0.255825i) q^{50} +(0.902067 + 1.04104i) q^{51} +(-0.799821 - 6.41571i) q^{52} +(0.401905 - 0.625377i) q^{53} +(0.847094 + 2.98843i) q^{54} +(-1.89421 - 1.64135i) q^{55} +(-4.65541 + 9.47819i) q^{56} +(-0.653429 + 0.0939489i) q^{57} +(8.32913 - 9.43197i) q^{58} +(5.02299 + 7.81592i) q^{59} +(1.05232 + 1.26154i) q^{60} +(-3.25979 - 1.48870i) q^{61} +(13.9841 - 1.87681i) q^{62} +(-10.2433 + 3.00771i) q^{63} +(-7.79064 + 1.81820i) q^{64} +(1.99577 - 6.79697i) q^{65} +(-0.549145 - 0.257043i) q^{66} +(1.45310 - 10.1065i) q^{67} +(-7.25398 - 1.18236i) q^{68} +(1.25233 - 1.28970i) q^{69} +(-8.81478 + 7.49435i) q^{70} +(9.06545 + 1.30341i) q^{71} +(-6.67813 - 4.56247i) q^{72} +(4.26223 + 1.25150i) q^{73} +(-8.64304 - 1.32560i) q^{74} +(-0.0209128 - 0.0712223i) q^{75} +(2.35616 - 2.61818i) q^{76} +(1.77392 - 3.88434i) q^{77} +(0.0160857 - 1.71360i) q^{78} +(-13.6810 + 8.79222i) q^{79} +(-8.62320 - 1.57225i) q^{80} +(-1.10368 - 7.67624i) q^{81} +(1.65383 + 0.502518i) q^{82} +(3.52806 - 4.07160i) q^{83} +(-1.55714 + 2.32577i) q^{84} +(-6.77449 - 4.35370i) q^{85} +(3.27047 + 2.14544i) q^{86} +(2.52060 - 2.18411i) q^{87} +(3.12848 - 0.823669i) q^{88} +(-5.59347 + 2.55445i) q^{89} +(-4.72077 - 7.49952i) q^{90} +12.0691 q^{91} +(-0.723225 + 9.56436i) q^{92} +3.73978 q^{93} +(1.70578 + 2.70984i) q^{94} +(3.51049 - 1.60318i) q^{95} +(-2.11070 + 0.202966i) q^{96} +(-6.04072 + 5.23431i) q^{97} +(-8.20478 - 5.38238i) q^{98} +(2.75142 + 1.76823i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25}+ \cdots - 71 q^{98}+O(q^{100}) $ 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/92\mathbb{Z}\right)^\times$.

$n$	$5$	$47$
$\chi(n)$	$e\left(\frac{17}{22}\right)$	$-1$

Coefficient data

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

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

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

$2$	−1.19684	+	0.753380i	−0.846291	+	0.532720i
$2$	−1.19684	+	0.753380i	−0.846291	+	0.532720i
$3$	−0.340970	+	0.155716i	−0.196859	+	0.0899024i	−0.511405	−	0.859340i	$-0.670875\pi$
$3$	−0.340970	+	0.155716i	−0.196859	+	0.0899024i	0.314546	+	0.949242i	$0.398148\pi$
$4$	0.864836	−	1.80335i	0.432418	−	0.901673i
$5$	1.65610	−	1.43502i	0.740633	−	0.641762i	−0.200541	−	0.979685i	$-0.564270\pi$
$5$	1.65610	−	1.43502i	0.740633	−	0.641762i	0.941174	+	0.337924i	$0.109725\pi$
$6$	0.290772	−	0.443246i	0.118707	−	0.180954i
$7$	3.14077	+	2.01845i	1.18710	+	0.762903i	0.976678	−	0.214707i	$-0.0688798\pi$
$7$	3.14077	+	2.01845i	1.18710	+	0.762903i	0.210422	+	0.977611i	$0.432516\pi$
$8$	0.323539	+	2.80986i	0.114388	+	0.993436i
$9$	−1.87257	+	2.16106i	−0.624190	+	0.720353i
$10$	−0.900968	+	2.96516i	−0.284911	+	0.937667i
$11$	−0.162776	−	1.13213i	−0.0490789	−	0.341352i	−0.999535	−	0.0304926i	$-0.990292\pi$
$11$	−0.162776	−	1.13213i	−0.0490789	−	0.341352i	0.950456	−	0.310859i	$-0.100617\pi$
$12$	−0.0140735	+	0.749555i	−0.00406267	+	0.216378i
$13$	2.71951	−	1.74772i	0.754256	−	0.484731i	−0.106143	−	0.994351i	$-0.533850\pi$
$13$	2.71951	−	1.74772i	0.754256	−	0.484731i	0.860400	+	0.509620i	$0.170214\pi$
$14$	−5.27965	−	0.0495605i	−1.41105	−	0.0132456i
$15$	−0.341226	+	0.747180i	−0.0881041	+	0.192921i
$16$	−2.50412	−	3.11920i	−0.626030	−	0.779799i
$17$	−1.03533	−	3.52600i	−0.251103	−	0.855180i	−0.984501	−	0.175380i	$-0.943885\pi$
$17$	−1.03533	−	3.52600i	−0.251103	−	0.855180i	0.733397	−	0.679800i	$-0.237933\pi$
$18$	0.613059	−	3.99719i	0.144499	−	0.942147i
$19$	1.68979	+	0.496168i	0.387665	+	0.113829i	0.469756	−	0.882796i	$-0.344342\pi$
$19$	1.68979	+	0.496168i	0.387665	+	0.113829i	−0.0820914	+	0.996625i	$0.526160\pi$
$20$	−1.15559	−	4.22759i	−0.258397	−	0.945318i
$21$	−1.38521	−	0.199163i	−0.302278	−	0.0434610i
$22$	1.04775	+	1.23235i	0.223380	+	0.262737i
$23$	−4.46833	+	1.74184i	−0.931711	+	0.363199i
$23$	−4.46833	+	1.74184i	−0.931711	+	0.363199i
$24$	−0.547856	−	0.907697i	−0.111831	−	0.185283i
$25$	−0.0281822	+	0.196011i	−0.00563644	+	0.0392023i
$26$	−1.93811	+	4.14056i	−0.380094	+	0.812031i
$27$	0.618795	−	2.10742i	0.119087	−	0.405574i
$28$	6.35622	−	3.91827i	1.20121	−	0.740484i
$29$	−8.53724	+	2.50676i	−1.58532	+	0.465493i	−0.951414	−	0.307913i	$-0.900369\pi$
$29$	−8.53724	+	2.50676i	−1.58532	+	0.465493i	−0.633910	+	0.773407i	$0.718551\pi$
$30$	−0.154520	−	1.15133i	−0.0282113	−	0.210202i
$31$	−9.07531	−	4.14456i	−1.62997	−	0.744384i	−0.630480	−	0.776205i	$-0.717142\pi$
$31$	−9.07531	−	4.14456i	−1.62997	−	0.744384i	−0.999494	+	0.0318213i	$0.989869\pi$
$32$	5.34696	+	1.84662i	0.945218	+	0.326439i
$33$	0.231793	+	0.360677i	0.0403500	+	0.0627858i
$34$	3.89553	+	3.44005i	0.668078	+	0.589963i
$35$	8.09797	−	1.16431i	1.36881	−	0.196805i
$36$	2.27768	+	5.24585i	0.379613	+	0.874309i
$37$	4.67281	+	4.04902i	0.768206	+	0.665654i	0.948079	−	0.318036i	$-0.103023\pi$
$37$	4.67281	+	4.04902i	0.768206	+	0.665654i	−0.179873	+	0.983690i	$0.557569\pi$
$38$	−2.39621	+	0.679225i	−0.388716	+	0.110185i
$39$	−0.655122	+	1.01939i	−0.104904	+	0.163233i
$40$	4.56803	+	4.18914i	0.722269	+	0.662361i
$41$	−0.800388	−	0.923697i	−0.125000	−	0.144257i	0.689800	−	0.724000i	$-0.257698\pi$
$41$	−0.800388	−	0.923697i	−0.125000	−	0.144257i	−0.814800	+	0.579743i	$0.803153\pi$
$42$	1.80792	−	0.805226i	0.278968	−	0.124249i
$43$	−1.14894	−	2.51582i	−0.175212	−	0.383660i	0.801569	−	0.597902i	$-0.203999\pi$
$43$	−1.14894	−	2.51582i	−0.175212	−	0.383660i	−0.976780	+	0.214243i	$0.931272\pi$
$44$	−2.18241	−	0.685568i	−0.329010	−	0.103353i
$45$			6.26612i			0.934098i
$46$	4.03559	−	5.45106i	0.595015	−	0.803714i
$47$		−	2.26417i		−	0.330263i	−0.986272	−	0.165131i	$-0.947195\pi$
$47$		−	2.26417i		−	0.330263i	0.986272	−	0.165131i	$-0.0528048\pi$
$48$	1.33954	+	0.673621i	0.193345	+	0.0972288i
$49$	2.88240	+	6.31158i	0.411771	+	0.901654i
$50$	−0.113942	−	0.255825i	−0.0161138	−	0.0361792i
$51$	0.902067	+	1.04104i	0.126315	+	0.145775i
$52$	−0.799821	−	6.41571i	−0.110915	−	0.889699i
$53$	0.401905	−	0.625377i	0.0552060	−	0.0859021i	−0.812553	−	0.582887i	$-0.801923\pi$
$53$	0.401905	−	0.625377i	0.0552060	−	0.0859021i	0.867759	+	0.496985i	$0.165559\pi$
$54$	0.847094	+	2.98843i	0.115275	+	0.406674i
$55$	−1.89421	−	1.64135i	−0.255416	−	0.221319i
$56$	−4.65541	+	9.47819i	−0.622105	+	1.26658i
$57$	−0.653429	+	0.0939489i	−0.0865488	+	0.0124438i
$58$	8.32913	−	9.43197i	1.09367	−	1.23848i
$59$	5.02299	+	7.81592i	0.653937	+	1.01755i	0.996937	+	0.0782107i	$0.0249207\pi$
$59$	5.02299	+	7.81592i	0.653937	+	1.01755i	−0.343000	+	0.939336i	$0.611443\pi$
$60$	1.05232	+	1.26154i	0.135854	+	0.162864i
$61$	−3.25979	−	1.48870i	−0.417374	−	0.190608i	0.195648	−	0.980674i	$-0.437319\pi$
$61$	−3.25979	−	1.48870i	−0.417374	−	0.190608i	−0.613022	+	0.790066i	$0.710046\pi$
$62$	13.9841	−	1.87681i	1.77598	−	0.238355i
$63$	−10.2433	+	3.00771i	−1.29054	+	0.378936i
$64$	−7.79064	+	1.81820i	−0.973831	+	0.227275i
$65$	1.99577	−	6.79697i	0.247545	−	0.843060i
$66$	−0.549145	−	0.257043i	−0.0675951	−	0.0316398i
$67$	1.45310	−	10.1065i	0.177525	−	1.23471i	−0.684943	−	0.728597i	$-0.740173\pi$
$67$	1.45310	−	10.1065i	0.177525	−	1.23471i	0.862467	−	0.506113i	$-0.168918\pi$
$68$	−7.25398	−	1.18236i	−0.879674	−	0.143382i
$69$	1.25233	−	1.28970i	0.150763	−	0.155262i
$70$	−8.81478	+	7.49435i	−1.05357	+	0.895746i
$71$	9.06545	+	1.30341i	1.07587	+	0.154687i	0.657399	−	0.753543i	$-0.271657\pi$
$71$	9.06545	+	1.30341i	1.07587	+	0.154687i	0.418472	+	0.908230i	$0.362566\pi$
$72$	−6.67813	−	4.56247i	−0.787025	−	0.537693i
$73$	4.26223	+	1.25150i	0.498857	+	0.146478i	0.521475	−	0.853267i	$-0.325382\pi$
$73$	4.26223	+	1.25150i	0.498857	+	0.146478i	−0.0226182	+	0.999744i	$0.507200\pi$
$74$	−8.64304	−	1.32560i	−1.00473	−	0.154098i
$75$	−0.0209128	−	0.0712223i	−0.00241480	−	0.00822404i
$76$	2.35616	−	2.61818i	0.270270	−	0.300326i
$77$	1.77392	−	3.88434i	0.202157	−	0.442661i
$78$	0.0160857	−	1.71360i	0.00182135	−	0.194027i
$79$	−13.6810	+	8.79222i	−1.53923	+	0.989202i	−0.551296	+	0.834310i	$0.685867\pi$
$79$	−13.6810	+	8.79222i	−1.53923	+	0.989202i	−0.987931	+	0.154892i	$0.950497\pi$
$80$	−8.62320	−	1.57225i	−0.964103	−	0.175783i
$81$	−1.10368	−	7.67624i	−0.122631	−	0.852915i
$82$	1.65383	+	0.502518i	0.182635	+	0.0554938i
$83$	3.52806	−	4.07160i	0.387255	−	0.446916i	−0.528331	−	0.849038i	$-0.677182\pi$
$83$	3.52806	−	4.07160i	0.387255	−	0.446916i	0.915586	+	0.402123i	$0.131727\pi$
$84$	−1.55714	+	2.32577i	−0.169898	+	0.253763i
$85$	−6.77449	−	4.35370i	−0.734797	−	0.472225i
$86$	3.27047	+	2.14544i	0.352663	+	0.231349i
$87$	2.52060	−	2.18411i	0.270236	−	0.234161i
$88$	3.12848	−	0.823669i	0.333497	−	0.0878034i
$89$	−5.59347	+	2.55445i	−0.592907	+	0.270772i	−0.689188	−	0.724583i	$-0.742033\pi$
$89$	−5.59347	+	2.55445i	−0.592907	+	0.270772i	0.0962809	+	0.995354i	$0.469305\pi$
$90$	−4.72077	−	7.49952i	−0.497613	−	0.790519i
$91$	12.0691			1.26518
$92$	−0.723225	+	9.56436i	−0.0754014	+	0.997153i
$93$	3.73978			0.387797
$94$	1.70578	+	2.70984i	0.175938	+	0.279499i
$95$	3.51049	−	1.60318i	0.360168	−	0.164483i
$96$	−2.11070	+	0.202966i	−0.215422	+	0.0207151i
$97$	−6.04072	+	5.23431i	−0.613342	+	0.531464i	−0.905193	−	0.425000i	$-0.860274\pi$
$97$	−6.04072	+	5.23431i	−0.613342	+	0.531464i	0.291852	+	0.956464i	$0.405729\pi$
$98$	−8.20478	−	5.38238i	−0.828808	−	0.543703i
$99$	2.75142	+	1.76823i	0.276528	+	0.177714i
$100$	0.329103	+	0.220340i	0.0329103	+	0.0220340i
$101$	10.4416	−	12.0503i	1.03898	−	1.19905i	0.0593535	−	0.998237i	$-0.481096\pi$
$101$	10.4416	−	12.0503i	1.03898	−	1.19905i	0.979630	−	0.200813i	$-0.0643585\pi$
$102$	−1.86393	−	0.566356i	−0.184556	−	0.0560776i
$103$	2.55830	+	17.7934i	0.252077	+	1.75323i	0.585701	+	0.810527i	$0.300819\pi$
$103$	2.55830	+	17.7934i	0.252077	+	1.75323i	−0.333624	+	0.942706i	$0.608272\pi$
$104$	5.79073	+	7.07599i	0.567828	+	0.693858i
$105$	−2.57986	+	1.65798i	−0.251769	+	0.161802i
$106$	−0.00986828	+	1.05126i	−0.000958492	+	0.102108i
$107$	−3.56732	+	7.81135i	−0.344866	+	0.755151i	−1.00000		0.000361420i	$-0.999885\pi$
$107$	−3.56732	+	7.81135i	−0.344866	+	0.755151i	0.655134	+	0.755513i	$0.272612\pi$
$108$	−3.26526	−	2.93848i	−0.314200	−	0.282755i
$109$	−2.90209	−	9.88360i	−0.277970	−	0.946677i	−0.973597	−	0.228274i	$-0.926692\pi$
$109$	−2.90209	−	9.88360i	−0.277970	−	0.946677i	0.695627	−	0.718403i	$-0.255127\pi$
$110$	3.50362	+	0.537359i	0.334057	+	0.0512352i
$111$	−2.22378	−	0.652961i	−0.211072	−	0.0619763i
$112$	−1.56892	−	14.8511i	−0.148249	−	1.40330i
$113$	10.1971	+	1.46612i	0.959260	+	0.137921i	0.604121	−	0.796893i	$-0.293524\pi$
$113$	10.1971	+	1.46612i	0.959260	+	0.137921i	0.355139	+	0.934813i	$0.384433\pi$
$114$	0.711268	−	0.604722i	0.0666164	−	0.0566374i
$115$	−4.90044	+	9.29683i	−0.456968	+	0.866934i
$116$	−2.86275	+	17.5635i	−0.265800	+	1.63073i
$117$	−1.31554	+	9.14976i	−0.121621	+	0.845895i
$118$	−11.9001	−	5.57016i	−1.09549	−	0.512775i
$119$	3.86533	−	13.1641i	0.354334	−	1.20675i
$120$	−2.20987	−	0.717055i	−0.201733	−	0.0654579i
$121$	9.29919	−	2.73049i	0.845381	−	0.248226i
$122$	5.02300	−	0.674137i	0.454761	−	0.0610335i
$123$	0.416742	+	0.190320i	0.0375764	+	0.0171605i
$124$	−15.3227	+	12.7816i	−1.37602	+	1.14782i
$125$	6.15825	+	9.58242i	0.550811	+	0.857078i
$126$	9.99362	−	11.3168i	0.890303	−	1.00818i
$127$	−2.28895	+	0.329102i	−0.203112	+	0.0292031i	−0.243120	−	0.969996i	$-0.578171\pi$
$127$	−2.28895	+	0.329102i	−0.203112	+	0.0292031i	0.0400079	+	0.999199i	$0.487262\pi$
$128$	7.95433	−	8.04541i	0.703070	−	0.711120i
$129$	0.783506	+	0.678912i	0.0689839	+	0.0597749i
$130$	2.73209	+	9.63844i	0.239620	+	0.845347i
$131$	6.69494	−	10.4175i	0.584940	−	0.910184i	−0.415060	−	0.909794i	$-0.636239\pi$
$131$	6.69494	−	10.4175i	0.584940	−	0.910184i	1.00000		0.000390307i	$-0.000124238\pi$
$132$	0.850888	−	0.106077i	0.0740603	−	0.00923279i
$133$	4.30576	+	4.96912i	0.373357	+	0.430877i
$134$	5.87494	+	13.1906i	0.507518	+	1.13950i
$135$	−1.99941	−	4.37810i	−0.172082	−	0.376807i
$136$	9.57260	−	4.04992i	0.820843	−	0.347278i
$137$		−	9.53713i		−	0.814812i	−0.913247	−	0.407406i	$-0.866433\pi$
$137$		−	9.53713i		−	0.814812i	0.913247	−	0.407406i	$-0.133567\pi$
$138$	−0.527200	+	2.48705i	−0.0448782	+	0.211712i
$139$		−	14.8214i		−	1.25713i	−0.777755	−	0.628567i	$-0.783642\pi$
$139$		−	14.8214i		−	1.25713i	0.777755	−	0.628567i	$-0.216358\pi$
$140$	4.90376	−	15.6104i	0.414443	−	1.31932i
$141$	0.352566	+	0.772013i	0.0296914	+	0.0650152i
$142$	−11.8318	+	5.26976i	−0.992905	+	0.442228i
$143$	−2.42133	−	2.79436i	−0.202482	−	0.233676i
$144$	11.4299	+	0.429363i	0.952492	+	0.0357802i
$145$	−10.5413	+	16.4026i	−0.875407	+	1.36216i
$146$	−6.04406	+	1.71324i	−0.500210	+	0.141789i
$147$	−1.96562	−	1.70322i	−0.162122	−	0.140479i
$148$	11.3430	−	4.92497i	0.932389	−	0.404830i
$149$	−11.6451	+	1.67432i	−0.954006	+	0.137165i	−0.601703	−	0.798720i	$-0.705511\pi$
$149$	−11.6451	+	1.67432i	−0.954006	+	0.137165i	−0.352304	+	0.935886i	$0.614602\pi$
$150$	0.0786866	+	0.0694862i	0.00642474	+	0.00567352i
$151$	−0.682332	−	1.06173i	−0.0555274	−	0.0864023i	0.812380	−	0.583129i	$-0.198172\pi$
$151$	−0.682332	−	1.06173i	−0.0555274	−	0.0864023i	−0.867907	+	0.496726i	$0.834535\pi$
$152$	−0.847449	+	4.90861i	−0.0687372	+	0.398141i
$153$	9.55861	+	4.36527i	0.772768	+	0.352911i
$154$	0.803294	+	5.98535i	0.0647313	+	0.482313i
$155$	−20.9772	+	6.15946i	−1.68493	+	0.494740i
$156$	1.27174	+	2.06302i	0.101821	+	0.165174i
$157$	1.44386	−	4.91732i	0.115232	−	0.392445i	−0.881598	−	0.472001i	$-0.843532\pi$
$157$	1.44386	−	4.91732i	0.115232	−	0.392445i	0.996830	+	0.0795558i	$0.0253502\pi$
$158$	9.74998	−	20.8298i	0.775667	−	1.65713i
$159$	−0.0396566	+	0.275817i	−0.00314497	+	0.0218737i
$160$	11.5051	−	4.61482i	0.909555	−	0.364834i
$161$	−17.5498	−	3.54838i	−1.38312	−	0.279651i
$162$	7.10405	+	8.35571i	0.558147	+	0.656487i
$163$	9.67641	+	1.39126i	0.757915	+	0.108972i	0.510429	−	0.859920i	$-0.329487\pi$
$163$	9.67641	+	1.39126i	0.757915	+	0.108972i	0.247486	+	0.968892i	$0.420396\pi$
$164$	−2.35795	+	0.644531i	−0.184125	+	0.0503294i
$165$	0.901453	+	0.264690i	0.0701780	+	0.0206061i
$166$	−1.15505	+	7.53101i	−0.0896491	+	0.584519i
$167$	1.03844	+	3.53662i	0.0803572	+	0.273672i	0.989864	−	0.142017i	$-0.0453588\pi$
$167$	1.03844	+	3.53662i	0.0803572	+	0.273672i	−0.909507	+	0.415689i	$0.863541\pi$
$168$	0.111452	−	3.95669i	0.00859867	−	0.305265i
$169$	−1.05920	+	2.31932i	−0.0814766	+	0.178409i
$170$	11.3880	+	0.106900i	0.873416	+	0.00819883i
$171$	−4.23650	+	2.72263i	−0.323973	+	0.208205i
$172$	−5.53055	−	0.103841i	−0.421700	−	0.00791776i
$173$	0.724466	+	5.03877i	0.0550801	+	0.383091i	0.998651	+	0.0519206i	$0.0165343\pi$
$173$	0.724466	+	5.03877i	0.0550801	+	0.383091i	−0.943571	+	0.331170i	$0.892557\pi$
$174$	−1.37128	+	4.51299i	−0.103956	+	0.342129i
$175$	−0.484153	+	0.558743i	−0.0365986	+	0.0422370i
$176$	−3.12374	+	3.34273i	−0.235461	+	0.251968i
$177$	−2.92975	−	1.88283i	−0.220213	−	0.141522i
$178$	4.77000	−	7.27128i	0.357526	−	0.545005i
$179$	−1.34857	+	1.16854i	−0.100797	+	0.0873407i	−0.703801	−	0.710397i	$-0.748515\pi$
$179$	−1.34857	+	1.16854i	−0.100797	+	0.0873407i	0.603005	+	0.797738i	$0.293970\pi$
$180$	11.3000	+	5.41917i	0.842251	+	0.403921i
$181$	−19.2255	+	8.77998i	−1.42902	+	0.652611i	−0.971598	−	0.236639i	$-0.923954\pi$
$181$	−19.2255	+	8.77998i	−1.42902	+	0.652611i	−0.457421	+	0.889250i	$0.651227\pi$
$182$	−14.4447	+	9.09259i	−1.07071	+	0.673988i
$183$	1.34330			0.0992998
$184$	−6.34002	−	11.9918i	−0.467392	−	0.884050i
$185$	13.5491			0.996150
$186$	−4.47590	+	2.81747i	−0.328189	+	0.206587i
$187$	−3.82338	+	1.74608i	−0.279593	+	0.127686i
$188$	−4.08308	−	1.95813i	−0.297789	−	0.142812i
$189$	6.19723	−	5.36993i	0.450782	−	0.390605i
$190$	−2.99367	+	4.56348i	−0.217184	+	0.331070i
$191$	17.7180	+	11.3867i	1.28203	+	0.823911i	0.991137	−	0.132845i	$-0.0424112\pi$
$191$	17.7180	+	11.3867i	1.28203	+	0.823911i	0.290893	+	0.956756i	$0.406048\pi$
$192$	2.37325	−	1.83308i	0.171275	−	0.132291i
$193$	0.606229	−	0.699625i	0.0436373	−	0.0503601i	−0.733511	−	0.679677i	$-0.762120\pi$
$193$	0.606229	−	0.699625i	0.0436373	−	0.0503601i	0.777149	+	0.629317i	$0.216665\pi$
$194$	3.28632	−	10.8156i	0.235944	−	0.776513i
$195$	0.377897	+	2.62833i	0.0270618	+	0.188219i
$196$	13.8748	+	0.260510i	0.991054	+	0.0186078i
$197$	−7.17132	+	4.60873i	−0.510936	+	0.328358i	−0.770577	−	0.637347i	$-0.780032\pi$
$197$	−7.17132	+	4.60873i	−0.510936	+	0.328358i	0.259642	+	0.965705i	$0.416396\pi$
$198$	−4.62515	−	0.0434167i	−0.328695	−	0.00308549i
$199$	4.93644	−	10.8093i	0.349935	−	0.766250i	−0.650045	−	0.759896i	$-0.725250\pi$
$199$	4.93644	−	10.8093i	0.349935	−	0.766250i	0.999980	−	0.00635466i	$-0.00202276\pi$
$200$	−0.559883	−	0.0157707i	−0.0395897	−	0.00111516i
$201$	1.07828	+	3.67229i	0.0760562	+	0.259024i
$202$	−3.41848	+	22.2888i	−0.240524	+	1.56823i
$203$	−31.8733	−	9.35884i	−2.23707	−	0.656862i
$204$	2.65750	−	0.726410i	0.186062	−	0.0508589i
$205$	−2.65105	−	0.381164i	−0.185158	−	0.0266216i
$206$	−16.4671	−	19.3684i	−1.14731	−	1.34946i
$207$	4.60303	−	12.9181i	0.319933	−	0.897867i
$208$	−12.2615	−	4.10618i	−0.850180	−	0.284713i
$209$	0.286671	−	1.99384i	0.0198294	−	0.137917i
$210$	1.83859	−	3.92794i	0.126874	−	0.271054i
$211$	5.81597	−	19.8074i	0.400388	−	1.36360i	−0.474919	−	0.880030i	$-0.657523\pi$
$211$	5.81597	−	19.8074i	0.400388	−	1.36360i	0.875307	−	0.483567i	$-0.160659\pi$
$212$	−0.780189	−	1.26562i	−0.0535836	−	0.0869234i
$213$	−3.29400	+	0.967207i	−0.225701	+	0.0662719i
$214$	−1.61541	−	12.0365i	−0.110427	−	0.822795i
$215$	−5.51303	−	2.51772i	−0.375985	−	0.171707i
$216$	6.12177	+	1.05690i	0.416534	+	0.0719126i
$217$	−20.1379	−	31.3352i	−1.36705	−	2.12717i
$218$	10.9194	+	9.64268i	0.739558	+	0.653085i
$219$	−1.64817	+	0.236971i	−0.111373	+	0.0160130i
$220$	−4.59810	+	1.99643i	−0.310004	+	0.134599i
$221$	−8.97805	−	7.77952i	−0.603929	−	0.523307i
$222$	3.15343	−	0.893866i	0.211645	−	0.0599924i
$223$	−7.55708	+	11.7591i	−0.506060	+	0.787444i	−0.996461	−	0.0840523i	$-0.973214\pi$
$223$	−7.55708	+	11.7591i	−0.506060	+	0.787444i	0.490402	+	0.871497i	$0.336850\pi$
$224$	13.0663	+	16.5924i	0.873028	+	1.10863i
$225$	−0.370819	−	0.427948i	−0.0247213	−	0.0285299i
$226$	−13.3088	+	5.92757i	−0.885287	+	0.394296i
$227$	11.7401	+	25.7073i	0.779220	+	1.70625i	0.705212	+	0.708996i	$0.250852\pi$
$227$	11.7401	+	25.7073i	0.779220	+	1.70625i	0.0740076	+	0.997258i	$0.476421\pi$
$228$	−0.395686	+	1.25961i	−0.0262050	+	0.0834196i
$229$			10.5591i			0.697763i	0.937167	+	0.348882i	$0.113438\pi$
$229$			10.5591i			0.697763i	−0.937167	+	0.348882i	$0.886562\pi$
$230$	−1.13903	−	14.8187i	−0.0751052	−	0.977115i
$231$			1.60067i			0.105316i
$232$	−9.80577	−	23.1774i	−0.643781	−	1.52167i
$233$	3.77738	+	8.27132i	0.247465	+	0.541872i	0.992078	−	0.125624i	$-0.0400933\pi$
$233$	3.77738	+	8.27132i	0.247465	+	0.541872i	−0.744613	+	0.667496i	$0.767366\pi$
$234$	−5.31877	−	11.9419i	−0.347699	−	0.780664i
$235$	−3.24913	−	3.74970i	−0.211950	−	0.244603i
$236$	18.4389	−	2.29870i	1.20027	−	0.149633i
$237$	3.29570	−	5.12822i	0.214079	−	0.333113i
$238$	5.29141	+	18.6674i	0.342991	+	1.21002i
$239$	−3.93558	−	3.41020i	−0.254572	−	0.220588i	0.518220	−	0.855247i	$-0.326595\pi$
$239$	−3.93558	−	3.41020i	−0.254572	−	0.220588i	−0.772792	+	0.634660i	$0.781140\pi$
$240$	3.18507	−	0.806677i	0.205596	−	0.0520708i
$241$	14.9668	−	2.15190i	0.964097	−	0.138616i	0.357751	−	0.933817i	$-0.383544\pi$
$241$	14.9668	−	2.15190i	0.964097	−	0.138616i	0.606346	+	0.795201i	$0.292635\pi$
$242$	−9.07251	+	10.2738i	−0.583203	+	0.660423i
$243$	5.13401	+	7.98867i	0.329347	+	0.512473i
$244$	−5.50382	+	4.59106i	−0.352346	+	0.293912i
$245$	13.8308	+	6.31632i	0.883618	+	0.403535i
$246$	−0.642155	+	0.0861837i	−0.0409423	+	0.00549487i
$247$	5.46257	−	1.60396i	0.347575	−	0.102057i
$248$	8.70941	−	26.8413i	0.553048	−	1.70442i
$249$	−0.568949	+	1.93766i	−0.0360557	+	0.122794i
$250$	−14.5896	−	6.82909i	−0.922729	−	0.431910i
$251$	0.300202	−	2.08795i	0.0189486	−	0.131790i	−0.978151	−	0.207894i	$-0.933339\pi$
$251$	0.300202	−	2.08795i	0.0189486	−	0.131790i	0.997100	+	0.0761039i	$0.0242481\pi$
$252$	−3.43484	+	21.0734i	−0.216375	+	1.32750i
$253$	2.69934	+	4.77522i	0.169706	+	0.300216i
$254$	2.49156	−	2.11833i	0.156335	−	0.132916i
$255$	2.98784	+	0.429586i	0.187106	+	0.0269017i
$256$	−3.45878	+	15.6217i	−0.216174	+	0.976355i
$257$	17.6327	+	5.17743i	1.09990	+	0.322959i	0.780812	−	0.624766i	$-0.214806\pi$
$257$	17.6327	+	5.17743i	1.09990	+	0.322959i	0.319087	+	0.947725i	$0.396624\pi$
$258$	−1.44921	−	0.222268i	−0.0902237	−	0.0138378i
$259$	6.50350	+	22.1489i	0.404108	+	1.37627i
$260$	−10.5313	−	9.47733i	−0.653122	−	0.587759i
$261$	10.5693	−	23.1436i	0.654224	−	1.43255i
$262$	−0.164386	+	17.5119i	−0.0101558	+	1.08189i
$263$	8.46337	−	5.43908i	0.521874	−	0.335388i	−0.253039	−	0.967456i	$-0.581430\pi$
$263$	8.46337	−	5.43908i	0.521874	−	0.335388i	0.774913	+	0.632068i	$0.217794\pi$
$264$	−0.938458	+	0.767999i	−0.0577581	+	0.0472671i
$265$	−0.231833	−	1.61243i	−0.0142414	−	0.0990510i
$266$	−8.89693	−	2.70334i	−0.545506	−	0.165753i
$267$	1.50944	−	1.74198i	0.0923760	−	0.106608i
$268$	−16.9689	−	11.3609i	−1.03654	−	0.693980i
$269$	17.0822	+	10.9781i	1.04152	+	0.669346i	0.945363	−	0.326020i	$-0.105708\pi$
$269$	17.0822	+	10.9781i	1.04152	+	0.669346i	0.0961596	+	0.995366i	$0.469344\pi$
$270$	5.69134	+	3.73355i	0.346364	+	0.227217i
$271$	−4.88932	+	4.23662i	−0.297005	+	0.257356i	−0.790596	−	0.612338i	$-0.790229\pi$
$271$	−4.88932	+	4.23662i	−0.297005	+	0.257356i	0.493591	+	0.869694i	$0.335684\pi$
$272$	−8.40570	+	12.0589i	−0.509670	+	0.731178i
$273$	−4.11518	+	1.87934i	−0.249062	+	0.113743i
$274$	7.18509	+	11.4144i	0.434067	+	0.689568i
$275$	0.226499			0.0136584
$276$	−1.24272	−	3.37377i	−0.0748031	−	0.203077i
$277$	20.6386			1.24005			0.620026	−	0.784582i	$-0.287122\pi$
$277$	20.6386			1.24005			0.620026	+	0.784582i	$0.287122\pi$
$278$	11.1661	+	17.7388i	0.669701	+	1.06390i
$279$	25.9508	−	11.8513i	1.55363	−	0.709520i
$280$	5.89157	+	22.3775i	0.352089	+	1.33731i
$281$	−13.0739	+	11.3286i	−0.779923	+	0.675807i	−0.950911	−	0.309466i	$-0.899850\pi$
$281$	−13.0739	+	11.3286i	−0.779923	+	0.675807i	0.170987	+	0.985273i	$0.445304\pi$
$282$	−1.00358	−	0.658356i	−0.0597625	−	0.0392045i
$283$	−1.50653	−	0.968186i	−0.0895537	−	0.0575527i	0.495098	−	0.868837i	$-0.335132\pi$
$283$	−1.50653	−	0.968186i	−0.0895537	−	0.0575527i	−0.584651	+	0.811285i	$0.698769\pi$
$284$	10.1906	−	15.2209i	0.604703	−	0.903195i
$285$	−0.947328	+	1.09327i	−0.0561149	+	0.0647600i
$286$	5.00316	+	1.52021i	0.295843	+	0.0898922i
$287$	−0.649399	−	4.51667i	−0.0383328	−	0.266610i
$288$	−14.0032	+	8.09719i	−0.825147	+	0.477132i
$289$	2.94056	−	1.88978i	0.172974	−	0.111164i
$290$	0.258828	−	27.5728i	0.0151989	−	1.61913i
$291$	1.24464	−	2.72537i	0.0729619	−	0.159764i
$292$	5.94303	−	6.60394i	0.347789	−	0.386466i
$293$	−4.05277	−	13.8025i	−0.236765	−	0.806349i	−0.989059	−	0.147521i	$-0.952871\pi$
$293$	−4.05277	−	13.8025i	−0.236765	−	0.806349i	0.752294	−	0.658828i	$-0.228948\pi$
$294$	3.63570	+	0.557616i	0.212038	+	0.0325208i
$295$	19.5346	+	5.73588i	1.13735	+	0.333956i
$296$	−9.86534	+	14.4400i	−0.573411	+	0.839307i
$297$	−2.48661	−	0.357521i	−0.144288	−	0.0207455i
$298$	12.6759	−	10.7771i	0.734296	−	0.624301i
$299$	−9.10741	+	12.5464i	−0.526695	+	0.725575i
$300$	−0.146525	−	0.0238826i	−0.00845960	−	0.00137887i
$301$	1.46952	−	10.2207i	0.0847015	−	0.589112i
$302$	1.61653	+	0.756661i	0.0930206	+	0.0435409i
$303$	−1.68386	+	5.73471i	−0.0967355	+	0.329451i
$304$	−2.68379	−	6.51326i	−0.153926	−	0.373561i
$305$	−7.53487	+	2.21244i	−0.431446	+	0.126684i
$306$	−14.7288	+	1.97675i	−0.841990	+	0.113004i
$307$	0.0421634	+	0.0192554i	0.00240639	+	0.00109896i	0.416618	−	0.909082i	$-0.363215\pi$
$307$	0.0421634	+	0.0192554i	0.00240639	+	0.00109896i	−0.414211	+	0.910181i	$0.635943\pi$
$308$	−5.47066	−	6.55830i	−0.311720	−	0.373694i
$309$	−3.64301	−	5.66863i	−0.207244	−	0.322477i
$310$	20.4659	−	23.1757i	1.16238	−	1.31629i
$311$	−7.22360	+	1.03860i	−0.409613	+	0.0588934i	−0.344041	−	0.938954i	$-0.611796\pi$
$311$	−7.22360	+	1.03860i	−0.409613	+	0.0588934i	−0.0655712	+	0.997848i	$0.520887\pi$
$312$	−3.07630	−	1.51099i	−0.174161	−	0.0855430i
$313$	16.9083	+	14.6511i	0.955713	+	0.828130i	0.985195	−	0.171435i	$-0.0548405\pi$
$313$	16.9083	+	14.6511i	0.955713	+	0.828130i	−0.0294826	+	0.999565i	$0.509386\pi$
$314$	1.97655	+	6.97300i	0.111543	+	0.393509i
$315$	−12.6479	+	19.6805i	−0.712627	+	1.10887i
$316$	4.02363	+	32.2753i	0.226347	+	1.81563i
$317$	−4.71950	−	5.44659i	−0.265074	−	0.305911i	0.607573	−	0.794264i	$-0.292143\pi$
$317$	−4.71950	−	5.44659i	−0.265074	−	0.305911i	−0.872646	+	0.488353i	$0.837598\pi$
$318$	−0.160333	−	0.359985i	−0.00899103	−	0.0201870i
$319$	4.22765	+	9.25726i	0.236703	+	0.518307i
$320$	−10.2930	+	14.1909i	−0.575394	+	0.793294i
$321$		−	3.21892i		−	0.179663i
$322$	23.6776	−	8.97488i	1.31950	−	0.500150i
$323$		−	6.47190i		−	0.360106i
$324$	−14.7974	−	4.64837i	−0.822079	−	0.258243i
$325$	0.265932	+	0.582309i	0.0147512	+	0.0323007i
$326$	−12.6292	+	5.62491i	−0.699468	+	0.311535i
$327$	2.52855	+	2.91811i	0.139829	+	0.161372i
$328$	2.33650	−	2.54783i	0.129012	−	0.140680i
$329$	4.57012	−	7.11124i	0.251959	−	0.392055i
$330$	−1.27830	+	0.362346i	−0.0703683	+	0.0199465i
$331$	−15.8808	−	13.7608i	−0.872886	−	0.756360i	0.0981803	−	0.995169i	$-0.468698\pi$
$331$	−15.8808	−	13.7608i	−0.872886	−	0.756360i	−0.971067	+	0.238808i	$0.923243\pi$
$332$	−4.29131	−	9.88357i	−0.235516	−	0.542432i
$333$	−17.5003	+	2.51617i	−0.959013	+	0.137885i
$334$	−3.90727	−	3.45041i	−0.213796	−	0.188798i
$335$	−12.0966	−	18.8227i	−0.660909	−	1.02839i
$336$	2.84751	+	4.81948i	0.155344	+	0.262924i
$337$	−21.0240	−	9.60132i	−1.14525	−	0.523017i	−0.249850	−	0.968284i	$-0.580381\pi$
$337$	−21.0240	−	9.60132i	−1.14525	−	0.523017i	−0.895398	+	0.445267i	$0.853109\pi$
$338$	−0.479643	−	3.57382i	−0.0260891	−	0.194390i
$339$	−3.70519	+	1.08794i	−0.201238	+	0.0590889i
$340$	−13.7101	+	8.45152i	−0.743532	+	0.458348i
$341$	−3.21495	+	10.9491i	−0.174099	+	0.592928i
$342$	3.01922	−	6.45025i	0.163261	−	0.348789i
$343$	0.0326215	−	0.226887i	0.00176139	−	0.0122508i
$344$	6.69739	−	4.04233i	0.361099	−	0.217948i
$345$	0.223239	−	3.93301i	0.0120188	−	0.211746i
$346$	−4.66318	−	5.48479i	−0.250694	−	0.294864i
$347$	−13.8830	−	1.99607i	−0.745277	−	0.107155i	−0.240794	−	0.970576i	$-0.577408\pi$
$347$	−13.8830	−	1.99607i	−0.745277	−	0.107155i	−0.504483	+	0.863422i	$0.668317\pi$
$348$	−1.75880	−	6.43440i	−0.0942818	−	0.344920i
$349$	−5.34964	−	1.57080i	−0.286360	−	0.0840828i	0.135398	−	0.990791i	$-0.456769\pi$
$349$	−5.34964	−	1.57080i	−0.286360	−	0.0840828i	−0.421758	+	0.906708i	$0.638587\pi$
$350$	0.158507	−	1.03348i	0.00847253	−	0.0552416i
$351$	−2.00037	−	6.81264i	−0.106772	−	0.363632i
$352$	1.22026	−	6.35407i	0.0650400	−	0.338673i
$353$	−0.464795	+	1.01776i	−0.0247385	+	0.0541699i	−0.921598	−	0.388146i	$-0.873116\pi$
$353$	−0.464795	+	1.01776i	−0.0247385	+	0.0541699i	0.896859	+	0.442316i	$0.145843\pi$
$354$	4.92492	+	0.0462306i	0.261756	+	0.00245713i
$355$	16.8838	−	10.8505i	0.896097	−	0.575887i
$356$	−0.230870	+	12.2962i	−0.0122361	+	0.651695i
$357$	0.731897	+	5.09045i	0.0387361	+	0.269415i
$358$	0.733658	−	2.41453i	0.0387750	−	0.127612i
$359$	10.1453	−	11.7083i	0.535451	−	0.617943i	−0.421980	−	0.906605i	$-0.638665\pi$
$359$	10.1453	−	11.7083i	0.535451	−	0.617943i	0.957431	+	0.288662i	$0.0932104\pi$
$360$	−17.6069	+	2.02733i	−0.927967	+	0.106850i
$361$	−13.3746	−	8.59533i	−0.703926	−	0.452386i
$362$	16.3951	−	24.9923i	0.861707	−	1.31357i
$363$	−2.74556	+	2.37904i	−0.144105	+	0.124867i
$364$	10.4378	−	21.7647i	0.547087	−	1.14078i
$365$	8.85464	−	4.04378i	0.463473	−	0.211661i
$366$	−1.60771	+	1.01202i	−0.0840366	+	0.0528991i
$367$	−0.817746			−0.0426860			−0.0213430	−	0.999772i	$-0.506794\pi$
$367$	−0.817746			−0.0426860			−0.0213430	+	0.999772i	$0.506794\pi$
$368$	16.6224	+	9.57582i	0.866502	+	0.499174i
$369$	3.49495			0.181940
$370$	−16.2161	+	10.2076i	−0.843033	+	0.530669i
$371$	2.52459	−	1.15294i	0.131070	−	0.0598577i
$372$	3.23429	−	6.74411i	0.167690	−	0.349666i
$373$	6.00992	−	5.20762i	0.311182	−	0.269641i	−0.485241	−	0.874380i	$-0.661268\pi$
$373$	6.00992	−	5.20762i	0.311182	−	0.269641i	0.796423	+	0.604740i	$0.206723\pi$
$374$	3.26050	−	4.97023i	0.168596	−	0.257004i
$375$	−3.59191	−	2.30838i	−0.185485	−	0.119204i
$376$	6.36200	−	0.732547i	0.328095	−	0.0377782i
$377$	−18.8360	+	21.7379i	−0.970102	+	1.11956i
$378$	−3.37147	+	11.0958i	−0.173410	+	0.570706i
$379$	−2.85196	−	19.8358i	−0.146495	−	1.01890i	−0.921899	−	0.387431i	$-0.873362\pi$
$379$	−2.85196	−	19.8358i	−0.146495	−	1.01890i	0.775403	−	0.631467i	$-0.217547\pi$
$380$	0.144895	−	7.71711i	0.00743296	−	0.395880i
$381$	0.729217	−	0.468639i	0.0373589	−	0.0240091i
$382$	−29.7841	−	0.279585i	−1.52388	−	0.0143048i
$383$	−0.939261	+	2.05669i	−0.0479940	+	0.105092i	−0.932110	−	0.362175i	$-0.882034\pi$
$383$	−0.939261	+	2.05669i	−0.0479940	+	0.105092i	0.884116	+	0.467267i	$0.154761\pi$
$384$	−1.45939	+	3.98185i	−0.0744742	+	0.203198i
$385$	−2.63632	−	8.97848i	−0.134359	−	0.457586i
$386$	−0.198473	+	1.29406i	−0.0101020	+	0.0658658i
$387$	7.58832	+	2.22813i	0.385736	+	0.113262i
$388$	4.21505	+	15.4203i	0.213987	+	0.782848i
$389$	−8.33260	−	1.19805i	−0.422480	−	0.0607434i	−0.0722037	−	0.997390i	$-0.523003\pi$
$389$	−8.33260	−	1.19805i	−0.422480	−	0.0607434i	−0.350276	+	0.936646i	$0.613912\pi$
$390$	−2.43242	−	2.86098i	−0.123170	−	0.144872i
$391$	10.7679	+	13.9519i	0.544557	+	0.705580i
$392$	−16.8021	+	10.1412i	−0.848633	+	0.512207i
$393$	−0.660599	+	4.59457i	−0.0333228	+	0.231765i
$394$	5.11078	−	10.9186i	0.257477	−	0.550073i
$395$	−10.0401	+	34.1933i	−0.505170	+	1.72045i
$396$	5.56826	−	3.43254i	0.279816	−	0.172492i
$397$	−3.23260	+	0.949177i	−0.162239	+	0.0476378i	−0.361844	−	0.932239i	$-0.617853\pi$
$397$	−3.23260	+	0.949177i	−0.162239	+	0.0476378i	0.199604	+	0.979877i	$0.436034\pi$
$398$	2.23540	+	16.6560i	0.112050	+	0.834888i
$399$	−2.24190	−	1.02384i	−0.112236	−	0.0512562i
$400$	0.681970	−	0.402930i	0.0340985	−	0.0201465i
$401$	8.46186	+	13.1669i	0.422565	+	0.657525i	0.985636	−	0.168884i	$-0.0540164\pi$
$401$	8.46186	+	13.1669i	0.422565	+	0.657525i	−0.563071	+	0.826409i	$0.690380\pi$
$402$	−4.05716	−	3.58278i	−0.202353	−	0.178693i
$403$	−31.9239	+	4.58997i	−1.59024	+	0.228643i
$404$	−12.7006	−	29.2515i	−0.631877	−	1.45531i
$405$	−12.8434	−	11.1289i	−0.638193	−	0.552997i
$406$	45.1979	−	12.8117i	2.24313	−	0.635834i
$407$	3.82341	−	5.94934i	0.189519	−	0.294898i
$408$	−2.63333	+	2.87150i	−0.130369	+	0.142161i
$409$	13.5096	+	15.5909i	0.668008	+	0.770923i	0.984063	−	0.177818i	$-0.0569039\pi$
$409$	13.5096	+	15.5909i	0.668008	+	0.770923i	−0.316055	+	0.948741i	$0.602358\pi$
$410$	3.46004	−	1.54106i	0.170879	−	0.0761075i
$411$	1.48508	+	3.25187i	0.0732536	+	0.160403i
$412$	34.3001	+	10.7748i	1.68985	+	0.530838i
$413$			34.6867i			1.70682i
$414$	4.22313	+	18.9286i	0.207556	+	0.930292i
$415$		−	11.8058i		−	0.579526i
$416$	17.7685	−	4.32312i	0.871172	−	0.211958i
$417$	2.30792	+	5.05364i	0.113019	+	0.247478i
$418$	1.15902	+	2.60227i	0.0566895	+	0.127281i
$419$	6.55475	+	7.56458i	0.320220	+	0.369554i	0.892923	−	0.450209i	$-0.148651\pi$
$419$	6.55475	+	7.56458i	0.320220	+	0.369554i	−0.572703	+	0.819763i	$0.694105\pi$
$420$	0.758749	+	6.08626i	0.0370232	+	0.296979i
$421$	−10.1364	+	15.7726i	−0.494020	+	0.768710i	−0.995327	−	0.0965595i	$-0.969216\pi$
$421$	−10.1364	+	15.7726i	−0.494020	+	0.768710i	0.501307	+	0.865269i	$0.332853\pi$
$422$	7.96173	+	28.0879i	0.387571	+	1.36730i
$423$	4.89300	+	4.23981i	0.237906	+	0.206147i
$424$	1.88725	+	0.926965i	0.0916532	+	0.0450174i
$425$	0.720313	−	0.103565i	0.0349403	−	0.00502366i
$426$	3.21371	−	3.63923i	0.155705	−	0.176321i
$427$	−7.23340	−	11.2554i	−0.350049	−	0.544687i
$428$	11.0014	+	13.1887i	0.531774	+	0.637498i
$429$	1.26073	+	0.575754i	0.0608684	+	0.0277977i
$430$	8.49499	−	1.14011i	0.409665	−	0.0549812i
$431$	2.71944	−	0.798501i	0.130991	−	0.0384624i	−0.215580	−	0.976486i	$-0.569164\pi$
$431$	2.71944	−	0.798501i	0.130991	−	0.0384624i	0.346571	+	0.938024i	$0.387346\pi$
$432$	−8.12300	+	3.34709i	−0.390818	+	0.161037i
$433$	5.21341	−	17.7552i	0.250540	−	0.853262i	−0.734156	−	0.678981i	$-0.762422\pi$
$433$	5.21341	−	17.7552i	0.250540	−	0.853262i	0.984696	−	0.174281i	$-0.0557600\pi$
$434$	47.7091	+	22.3316i	2.29011	+	1.07195i
$435$	1.04012	−	7.23423i	0.0498702	−	0.346855i
$436$	−20.3334	−	3.31422i	−0.973793	−	0.158722i
$437$	−8.41480	+	0.726312i	−0.402534	+	0.0347442i
$438$	1.79406	−	1.52532i	0.0857236	−	0.0728824i
$439$	3.02122	+	0.434385i	0.144195	+	0.0207321i	0.214034	−	0.976826i	$-0.431340\pi$
$439$	3.02122	+	0.434385i	0.144195	+	0.0207321i	−0.0698394	+	0.997558i	$0.522249\pi$
$440$	3.99910	−	5.85352i	0.190650	−	0.279056i
$441$	−19.0372	−	5.58982i	−0.906533	−	0.266182i
$442$	16.6062	+	2.54693i	0.789876	+	0.121145i
$443$	−4.88374	−	16.6325i	−0.232034	−	0.790234i	−0.990379	−	0.138381i	$-0.955810\pi$
$443$	−4.88374	−	16.6325i	−0.232034	−	0.790234i	0.758345	−	0.651853i	$-0.226008\pi$
$444$	−3.10072	+	3.44555i	−0.147154	+	0.163518i
$445$	−5.59768	+	12.2572i	−0.265355	+	0.581047i
$446$	0.185555	−	19.7670i	0.00878626	−	0.935996i
$447$	3.70992	−	2.38422i	0.175473	−	0.112770i
$448$	−28.1386	−	10.0145i	−1.32942	−	0.473140i
$449$	0.0379424	+	0.263895i	0.00179061	+	0.0124540i	0.990697	−	0.136085i	$-0.0434520\pi$
$449$	0.0379424	+	0.263895i	0.00179061	+	0.0124540i	−0.988907	+	0.148539i	$0.952543\pi$
$450$	0.766218	+	0.232816i	0.0361199	+	0.0109751i
$451$	−0.915465	+	1.05650i	−0.0431076	+	0.0497488i
$452$	11.4627	−	17.1209i	0.539161	−	0.805300i
$453$	0.397982	+	0.255768i	0.0186988	+	0.0120170i
$454$	−33.4184	−	21.9227i	−1.56840	−	1.02888i
$455$	19.9876	−	17.3194i	0.937034	−	0.811945i
$456$	−0.475393	−	1.80565i	−0.0222623	−	0.0845572i
$457$	26.5005	−	12.1024i	1.23964	−	0.566124i	0.315771	−	0.948835i	$-0.397737\pi$
$457$	26.5005	−	12.1024i	1.23964	−	0.566124i	0.923868	+	0.382711i	$0.125010\pi$
$458$	−7.95500	−	12.6375i	−0.371713	−	0.590511i
$459$	−8.07142			−0.376742
$460$	12.5273	+	16.8774i	0.584090	+	0.786914i
$461$	−8.90884			−0.414926			−0.207463	−	0.978243i	$-0.566521\pi$
$461$	−8.90884			−0.414926			−0.207463	+	0.978243i	$0.566521\pi$
$462$	−1.20591	−	1.91574i	−0.0561040	−	0.0891281i
$463$	10.0885	−	4.60724i	0.468850	−	0.214117i	−0.166958	−	0.985964i	$-0.553394\pi$
$463$	10.0885	−	4.60724i	0.468850	−	0.214117i	0.635808	+	0.771847i	$0.280667\pi$
$464$	29.1973	+	20.3521i	1.35545	+	0.944823i
$465$	6.19346	−	5.36666i	0.287215	−	0.248873i
$466$	−10.7524	−	7.05361i	−0.498093	−	0.326752i
$467$	−29.0694	−	18.6818i	−1.34517	−	0.864489i	−0.347844	−	0.937552i	$-0.613086\pi$
$467$	−29.0694	−	18.6818i	−1.34517	−	0.864489i	−0.997327	+	0.0730634i	$0.976722\pi$
$468$	15.3625	+	10.2854i	0.710130	+	0.475443i
$469$	24.9634	−	28.8093i	1.15270	−	1.33029i
$470$	6.71363	+	2.03994i	0.309677	+	0.0940956i
$471$	0.273393	+	1.90149i	0.0125973	+	0.0876159i
$472$	−20.3365	+	16.6427i	−0.936064	+	0.766040i
$473$	−2.66123	+	1.71027i	−0.122364	+	0.0786383i
$474$	−0.0809218	+	8.62055i	−0.00371686	+	0.395955i
$475$	−0.144877	+	0.317235i	−0.00664739	+	0.0145558i
$476$	−20.3966	−	18.3553i	−0.934876	−	0.841315i
$477$	0.598882	+	2.03960i	0.0274209	+	0.0933870i
$478$	7.27943	+	1.11646i	0.332953	+	0.0510658i
$479$	−27.9632	−	8.21073i	−1.27767	−	0.375158i	−0.428627	−	0.903481i	$-0.641003\pi$
$479$	−27.9632	−	8.21073i	−1.27767	−	0.375158i	−0.849043	+	0.528323i	$0.822821\pi$
$480$	−3.20428	+	3.36503i	−0.146255	+	0.153592i
$481$	19.7843	+	2.84456i	0.902087	+	0.129701i
$482$	−16.2916	+	13.8512i	−0.742063	+	0.630904i
$483$	6.53650	−	1.52289i	0.297421	−	0.0692941i
$484$	3.11825	−	19.1311i	0.141739	−	0.869595i
$485$	−2.49270	+	17.3371i	−0.113188	+	0.787239i
$486$	−12.1631	−	5.69327i	−0.551728	−	0.258252i
$487$	−5.43992	+	18.5267i	−0.246506	+	0.839523i	0.739549	+	0.673103i	$0.235039\pi$
$487$	−5.43992	+	18.5267i	−0.246506	+	0.839523i	−0.986055	+	0.166420i	$0.946779\pi$
$488$	3.12836	−	9.64122i	0.141614	−	0.436437i
$489$	−3.51600	+	1.03239i	−0.158999	+	0.0466863i
$490$	−21.3118	+	2.86026i	−0.962770	+	0.129213i
$491$	9.74561	+	4.45067i	0.439813	+	0.200856i	0.622999	−	0.782222i	$-0.285914\pi$
$491$	9.74561	+	4.45067i	0.439813	+	0.200856i	−0.183186	+	0.983078i	$0.558641\pi$
$492$	0.703626	−	0.586935i	0.0317219	−	0.0264611i
$493$	17.6776	+	27.5070i	0.796161	+	1.23885i
$494$	−5.32942	+	6.03507i	−0.239782	+	0.271531i
$495$	7.09410	−	1.01998i	0.318856	−	0.0458446i
$496$	9.79796	+	38.6861i	0.439942	+	1.73706i
$497$	25.8416	+	22.3919i	1.15916	+	1.00441i
$498$	−0.778859	−	2.74770i	−0.0349015	−	0.123127i
$499$	−4.94897	+	7.70075i	−0.221546	+	0.344733i	−0.934179	−	0.356804i	$-0.883866\pi$
$499$	−4.94897	+	7.70075i	−0.221546	+	0.344733i	0.712633	+	0.701537i	$0.247503\pi$
$500$	22.6063	−	2.81824i	1.01098	−	0.126035i
$501$	−0.904784	−	1.04418i	−0.0404228	−	0.0466504i
$502$	1.21373	+	2.72510i	0.0541714	+	0.121627i
$503$	10.3583	+	22.6815i	0.461853	+	1.01132i	0.987061	+	0.160344i	$0.0512602\pi$
$503$	10.3583	+	22.6815i	0.461853	+	1.01132i	−0.525208	+	0.850974i	$0.676013\pi$
$504$	−11.7654	−	27.8092i	−0.524071	−	1.23872i
$505$		−	34.9406i		−	1.55484i
$506$	−6.82823	−	3.68153i	−0.303552	−	0.163664i
$507$		−	0.955750i		−	0.0424463i
$508$	−1.38608	+	4.41240i	−0.0614975	+	0.195768i
$509$	−14.7254	−	32.2441i	−0.652691	−	1.42919i	−0.889179	−	0.457559i	$-0.848724\pi$
$509$	−14.7254	−	32.2441i	−0.652691	−	1.42919i	0.236488	−	0.971634i	$-0.424003\pi$
$510$	−3.89959	+	1.73683i	−0.172677	+	0.0769082i
$511$	10.8606	+	12.5338i	0.480445	+	0.554463i
$512$	−7.62947	−	21.3024i	−0.337178	−	0.941441i
$513$	2.09127	−	3.25408i	0.0923319	−	0.143671i
$514$	−25.0041	+	7.08761i	−1.10288	+	0.312621i
$515$	29.7707	+	25.7965i	1.31185	+	1.13673i
$516$	1.90192	−	0.825786i	0.0837273	−	0.0363532i
$517$	−2.56334	+	0.368553i	−0.112736	+	0.0162090i
$518$	−24.4702	−	21.6090i	−1.07516	−	0.949445i
$519$	−1.03164	−	1.60526i	−0.0452838	−	0.0704629i
$520$	19.7443	+	3.40875i	0.865843	+	0.149484i
$521$	0.527552	+	0.240925i	0.0231125	+	0.0105551i	0.426938	−	0.904281i	$-0.359592\pi$
$521$	0.527552	+	0.240925i	0.0231125	+	0.0105551i	−0.403825	+	0.914836i	$0.632320\pi$
$522$	4.78617	+	35.6618i	0.209485	+	1.56087i
$523$	16.1023	−	4.72806i	0.704104	−	0.206744i	0.0899692	−	0.995945i	$-0.471323\pi$
$523$	16.1023	−	4.72806i	0.704104	−	0.206744i	0.614135	+	0.789201i	$0.289505\pi$
$524$	−12.9964	−	21.0828i	−0.567750	−	0.921005i
$525$	0.0780766	−	0.265904i	0.00340754	−	0.0116050i
$526$	−6.03158	+	12.8858i	−0.262989	+	0.561849i
$527$	−5.21778	+	36.2905i	−0.227290	+	1.58084i
$528$	0.544585	−	1.62618i	0.0237000	−	0.0707706i
$529$	16.9320	−	15.5663i	0.736172	−	0.676794i
$530$	1.49224	+	1.75516i	0.0648188	+	0.0762393i
$531$	−26.2966	−	3.78088i	−1.14117	−	0.164076i
$532$	12.6848	−	3.46731i	0.549957	−	0.150327i
$533$	−3.79103	−	1.11315i	−0.164208	−	0.0482157i
$534$	−0.494173	+	3.22205i	−0.0213850	+	0.139432i
$535$	5.30160	+	18.0556i	0.229208	+	0.780612i
$536$	28.8681	+	0.813153i	1.24691	+	0.0351228i
$537$	0.277860	−	0.608429i	0.0119905	−	0.0262556i
$538$	−28.7153	−	0.269553i	−1.23801	−	0.0116213i
$539$	6.67637	−	4.29064i	0.287572	−	0.184811i
$540$	−9.62439	−	0.180706i	−0.414168	−	0.00777633i
$541$	−1.23736	−	8.60605i	−0.0531984	−	0.370003i	−0.998978	−	0.0451944i	$-0.985609\pi$
$541$	−1.23736	−	8.60605i	−0.0531984	−	0.370003i	0.945780	−	0.324808i	$-0.105300\pi$
$542$	2.65993	−	8.75405i	0.114254	−	0.376019i
$543$	5.18812	−	5.98741i	0.222644	−	0.256945i
$544$	0.975311	−	20.7652i	0.0418161	−	0.890302i
$545$	−18.9894	−	12.2037i	−0.813415	−	0.522750i
$546$	3.50934	−	5.34956i	0.150186	−	0.228940i
$547$	16.9263	−	14.6667i	0.723717	−	0.627104i	−0.213057	−	0.977040i	$-0.568342\pi$
$547$	16.9263	−	14.6667i	0.723717	−	0.627104i	0.936774	+	0.349936i	$0.113797\pi$
$548$	−17.1988	−	8.24805i	−0.734694	−	0.352339i
$549$	9.32135	−	4.25692i	0.397826	−	0.181681i
$550$	−0.271082	+	0.170640i	−0.0115590	+	0.00727610i
$551$	−15.6699			−0.667561
$552$	4.02907	+	3.10161i	0.171489	+	0.132013i
$553$	−60.7154			−2.58188
$554$	−24.7010	+	15.5487i	−1.04944	+	0.660601i
$555$	−4.61983	+	2.10981i	−0.196101	+	0.0895563i
$556$	−26.7281	−	12.8181i	−1.13352	−	0.543607i
$557$	−1.28707	+	1.11525i	−0.0545347	+	0.0472546i	−0.681702	−	0.731630i	$-0.738760\pi$
$557$	−1.28707	+	1.11525i	−0.0545347	+	0.0472546i	0.627167	+	0.778885i	$0.284214\pi$
$558$	−22.1303	+	33.7349i	−0.936850	+	1.42811i
$559$	−7.52152	−	4.83378i	−0.318126	−	0.204447i
$560$	−23.9100	−	22.3436i	−1.01038	−	0.944189i
$561$	1.03176	−	1.19072i	0.0435611	−	0.0502722i
$562$	7.11258	−	23.4081i	0.300026	−	0.987411i
$563$	0.711102	+	4.94582i	0.0299694	+	0.208442i	0.999304	−	0.0373029i	$-0.0118767\pi$
$563$	0.711102	+	4.94582i	0.0299694	+	0.208442i	−0.969335	+	0.245745i	$0.920968\pi$
$564$	1.69712	+	0.0318648i	0.0714616	+	0.00134175i
$565$	18.9913	−	12.2050i	0.798972	−	0.513468i
$566$	2.53248	+	0.0237726i	0.106448	+	0.000999236i
$567$	12.0277	−	26.3370i	0.505117	−	1.10605i
$568$	−0.729388	+	25.8944i	−0.0306045	+	1.08650i
$569$	1.02167	+	3.47948i	0.0428305	+	0.145867i	0.978132	−	0.207984i	$-0.0666901\pi$
$569$	1.02167	+	3.47948i	0.0428305	+	0.145867i	−0.935302	+	0.353851i	$0.884872\pi$
$570$	0.310145	−	2.02217i	0.0129905	−	0.0846993i
$571$	32.1866	+	9.45084i	1.34697	+	0.395506i	0.874151	−	0.485655i	$-0.161419\pi$
$571$	32.1866	+	9.45084i	1.34697	+	0.395506i	0.472817	+	0.881160i	$0.343237\pi$
$572$	−7.13326	+	1.94983i	−0.298257	+	0.0815266i
$573$	−7.81438	−	1.12354i	−0.326451	−	0.0469365i
$574$	4.17999	+	4.91647i	0.174470	+	0.205209i
$575$	−0.215494	−	0.924932i	−0.00898671	−	0.0385724i
$576$	10.6593	−	20.2408i	0.444137	−	0.843365i
$577$	−2.41627	+	16.8056i	−0.100591	+	0.699625i	0.875652	+	0.482943i	$0.160432\pi$
$577$	−2.41627	+	16.8056i	−0.100591	+	0.699625i	−0.976242	+	0.216681i	$0.930477\pi$
$578$	−2.09564	+	4.47712i	−0.0871672	+	0.186223i
$579$	−0.0977630	+	0.332950i	−0.00406289	+	0.0138369i
$580$	20.4630	+	33.1952i	0.849682	+	1.37835i
$581$	19.2992	−	5.66674i	0.800664	−	0.235096i
$582$	0.563617	+	4.19951i	0.0233627	+	0.174075i
$583$	−0.773432	−	0.353215i	−0.0320323	−	0.0146287i
$584$	−2.13756	+	12.3812i	−0.0884527	+	0.512338i
$585$	10.9514	+	17.0408i	0.452786	+	0.704550i
$586$	15.2490	+	13.4660i	0.629931	+	0.556276i
$587$	19.9892	−	2.87401i	0.825041	−	0.118623i	0.283154	−	0.959074i	$-0.408619\pi$
$587$	19.9892	−	2.87401i	0.825041	−	0.118623i	0.541887	+	0.840451i	$0.317710\pi$
$588$	−4.77144	+	2.07169i	−0.196771	+	0.0854351i
$589$	−13.2790	−	11.5063i	−0.547151	−	0.474109i
$590$	−27.7010	+	7.85209i	−1.14043	+	0.323265i
$591$	1.72755	−	2.68812i	0.0710620	−	0.110575i
$592$	0.928402	−	24.7146i	0.0381571	−	1.01577i
$593$	−17.7814	−	20.5208i	−0.730193	−	0.842688i	0.262300	−	0.964986i	$-0.415519\pi$
$593$	−17.7814	−	20.5208i	−0.730193	−	0.842688i	−0.992493	+	0.122298i	$0.960973\pi$
$594$	3.24542	−	1.44547i	0.133161	−	0.0593084i
$595$	−12.4894	−	27.3480i	−0.512016	−	1.12116i
$596$	−7.05175	+	22.4482i	−0.288851	+	0.919515i
$597$			4.45432i			0.182303i
$598$	1.44790	−	21.8773i	0.0592089	−	0.894629i
$599$		−	4.57335i		−	0.186862i	−0.995626	−	0.0934309i	$-0.970217\pi$
$599$		−	4.57335i		−	0.186862i	0.995626	−	0.0934309i	$-0.0297834\pi$
$600$	0.193359	−	0.0818051i	0.00789384	−	0.00333968i
$601$	7.98506	+	17.4848i	0.325717	+	0.713221i	0.999674	−	0.0255499i	$-0.00813368\pi$
$601$	7.98506	+	17.4848i	0.325717	+	0.713221i	−0.673956	+	0.738771i	$0.735406\pi$
$602$	5.94131	+	13.3396i	0.242150	+	0.543683i
$603$	19.1198	+	22.0654i	0.778619	+	0.898574i
$604$	−2.50477	+	0.312260i	−0.101918	+	0.0127057i
$605$	11.4821	−	17.8665i	0.466814	−	0.726377i
$606$	−2.30511	−	8.13211i	−0.0936388	−	0.330344i
$607$	−16.2200	−	14.0547i	−0.658350	−	0.570464i	0.260304	−	0.965527i	$-0.416177\pi$
$607$	−16.2200	−	14.0547i	−0.658350	−	0.570464i	−0.918654	+	0.395063i	$0.870723\pi$
$608$	8.11903	+	5.77339i	0.329270	+	0.234142i
$609$	12.3251	−	1.77209i	0.499440	−	0.0718086i
$610$	7.35120	−	8.32455i	0.297642	−	0.337051i
$611$	−3.95714	−	6.15743i	−0.160089	−	0.249103i
$612$	16.1387	−	13.4622i	0.652369	−	0.544179i
$613$	−23.9891	−	10.9555i	−0.968912	−	0.442487i	−0.132858	−	0.991135i	$-0.542416\pi$
$613$	−23.9891	−	10.9555i	−0.968912	−	0.442487i	−0.836054	+	0.548648i	$0.815143\pi$
$614$	−0.0649693	+	0.00871954i	−0.00262195	+	0.000351892i
$615$	0.963281	−	0.282845i	0.0388432	−	0.0114054i
$616$	11.4884	+	3.72773i	0.462880	+	0.150194i
$617$	2.46606	−	8.39862i	0.0992797	−	0.338116i	−0.894842	−	0.446383i	$-0.852712\pi$
$617$	2.46606	−	8.39862i	0.0992797	−	0.338116i	0.994122	+	0.108267i	$0.0345302\pi$
$618$	8.63072	+	4.03985i	0.347179	+	0.162507i
$619$	−5.92703	+	41.2234i	−0.238227	+	1.65691i	0.422560	+	0.906335i	$0.361132\pi$
$619$	−5.92703	+	41.2234i	−0.238227	+	1.65691i	−0.660788	+	0.750573i	$0.729778\pi$
$620$	−7.03419	+	43.1561i	−0.282500	+	1.73319i
$621$	0.905819	+	10.4945i	0.0363492	+	0.421130i
$622$	7.86301	−	6.68515i	0.315278	−	0.268050i
$623$	−22.7239	−	3.26720i	−0.910413	−	0.130898i
$624$	4.82018	−	0.509218i	0.192962	−	0.0203850i
$625$	22.9997	+	6.75331i	0.919987	+	0.270133i
$626$	−31.2743	−	4.79662i	−1.24997	−	0.191711i
$627$	0.212726	+	0.724477i	0.00849544	+	0.0289328i
$628$	−7.61893	−	6.85645i	−0.304029	−	0.273602i
$629$	9.43893	−	20.6684i	0.376355	−	0.824102i
$630$	0.310552	−	33.0830i	0.0123727	−	1.31806i
$631$	−11.5707	+	7.43606i	−0.460624	+	0.296025i	−0.750297	−	0.661101i	$-0.770090\pi$
$631$	−11.5707	+	7.43606i	−0.460624	+	0.296025i	0.289674	+	0.957126i	$0.406453\pi$
$632$	−29.1312	−	35.5970i	−1.15878	−	1.41597i
$633$	1.10125	+	7.65935i	0.0437707	+	0.304432i
$634$	9.75183	+	2.96310i	0.387295	+	0.117680i
$635$	−3.31848	+	3.82973i	−0.131690	+	0.151978i
$636$	0.463098	+	0.310051i	0.0183630	+	0.0122943i
$637$	18.8696	+	12.1268i	0.747641	+	0.480480i
$638$	−12.0340	−	7.89440i	−0.476432	−	0.312542i
$639$	−19.7924	+	17.1502i	−0.782977	+	0.678453i
$640$	1.62786	−	24.7387i	0.0643470	−	0.977882i
$641$	−22.0233	+	10.0577i	−0.869868	+	0.397255i	−0.799786	−	0.600286i	$-0.795054\pi$
$641$	−22.0233	+	10.0577i	−0.869868	+	0.397255i	−0.0700824	+	0.997541i	$0.522326\pi$
$642$	2.42507	+	3.85252i	0.0957099	+	0.152047i
$643$	2.43251			0.0959288			0.0479644	−	0.998849i	$-0.484727\pi$
$643$	2.43251			0.0959288			0.0479644	+	0.998849i	$0.484727\pi$
$644$	−21.5767	+	28.5797i	−0.850241	+	1.12620i
$645$	2.27182			0.0894529
$646$	4.87580	+	7.74581i	0.191836	+	0.304755i
$647$	−44.7251	+	20.4253i	−1.75833	+	0.803001i	−0.772547	+	0.634958i	$0.781017\pi$
$647$	−44.7251	+	20.4253i	−1.75833	+	0.803001i	−0.985780	+	0.168043i	$0.946255\pi$
$648$	21.2121	−	5.58474i	0.833289	−	0.219389i
$649$	8.03105	−	6.95895i	0.315246	−	0.273163i
$650$	−0.756977	−	0.496581i	−0.0296911	−	0.0194775i
$651$	11.7458	+	7.54856i	0.460354	+	0.295851i
$652$	10.8774	−	16.2467i	0.425993	−	0.636270i
$653$	−1.36207	+	1.57192i	−0.0533021	+	0.0615139i	−0.781775	−	0.623561i	$-0.785685\pi$
$653$	−1.36207	+	1.57192i	−0.0533021	+	0.0615139i	0.728472	+	0.685075i	$0.240231\pi$
$654$	−5.22471	−	1.58753i	−0.204302	−	0.0620775i
$655$	−3.86187	−	26.8599i	−0.150896	−	1.04950i
$656$	−0.876927	+	4.80961i	−0.0342382	+	0.187784i
$657$	−10.6859	+	6.86741i	−0.416897	+	0.267923i
$658$	−0.112213	+	11.9540i	−0.00437453	+	0.466017i
$659$	7.38557	−	16.1722i	0.287701	−	0.629978i	−0.709503	−	0.704702i	$-0.751081\pi$
$659$	7.38557	−	16.1722i	0.287701	−	0.629978i	0.997204	+	0.0747248i	$0.0238078\pi$
$660$	1.25694	−	1.39672i	0.0489262	−	0.0543672i
$661$	10.9719	+	37.3667i	0.426756	+	1.45340i	0.839905	+	0.542734i	$0.182611\pi$
$661$	10.9719	+	37.3667i	0.426756	+	1.45340i	−0.413149	+	0.910663i	$0.635571\pi$
$662$	29.3738	+	4.50513i	1.14164	+	0.175097i
$663$	4.27263	+	1.25456i	0.165935	+	0.0487230i
$664$	12.5821	+	8.59603i	0.488280	+	0.333591i
$665$	14.2616	+	2.05051i	0.553041	+	0.0795153i
$666$	19.0494	−	16.1959i	0.738150	−	0.627577i
$667$	33.7808	−	26.0716i	1.30800	−	1.00949i
$668$	7.27583	+	1.18592i	0.281510	+	0.0458845i
$669$	0.745668	−	5.18623i	0.0288292	−	0.200511i
$670$	28.6584	+	13.4144i	1.10717	+	0.518242i
$671$	−1.15479	+	3.93285i	−0.0445801	+	0.151826i
$672$	−7.03890	−	3.62287i	−0.271531	−	0.139755i
$673$	−33.1659	+	9.73838i	−1.27845	+	0.375387i	−0.849331	−	0.527860i	$-0.822994\pi$
$673$	−33.1659	+	9.73838i	−1.27845	+	0.375387i	−0.429120	+	0.903248i	$0.641176\pi$
$674$	32.3957	−	4.34783i	1.24784	−	0.167472i
$675$	0.395640	+	0.180683i	0.0152282	+	0.00695448i
$676$	3.26650	+	3.91593i	0.125635	+	0.150613i
$677$	−5.84218	−	9.09061i	−0.224533	−	0.349380i	0.710649	−	0.703546i	$-0.248401\pi$
$677$	−5.84218	−	9.09061i	−0.224533	−	0.349380i	−0.935183	+	0.354166i	$0.884765\pi$
$678$	3.61487	−	4.09351i	0.138828	−	0.157210i
$679$	−29.5377	+	4.24688i	−1.13355	+	0.162980i
$680$	10.0415	−	20.4440i	0.385074	−	0.783991i
$681$	−8.00606	−	6.93729i	−0.306793	−	0.265837i
$682$	−4.40108	−	15.5264i	−0.168526	−	0.594536i
$683$	15.2977	−	23.8036i	0.585349	−	0.910821i	−0.414651	−	0.909981i	$-0.636096\pi$
$683$	15.2977	−	23.8036i	0.585349	−	0.910821i	1.00000		0.000840079i	$-0.000267406\pi$
$684$	1.24598	+	9.99451i	0.0476411	+	0.382150i
$685$	−13.6860	−	15.7945i	−0.522915	−	0.603476i
$686$	0.131890	+	0.296123i	0.00503558	+	0.0113060i
$687$	−1.64421	−	3.60032i	−0.0627306	−	0.137361i
$688$	−4.97028	+	9.88369i	−0.189490	+	0.376812i
$689$		−	2.40314i		−	0.0915523i
$690$	2.69587	+	4.87536i	0.102630	+	0.185602i
$691$			13.6014i			0.517422i	0.965955	+	0.258711i	$0.0832977\pi$
$691$			13.6014i			0.517422i	−0.965955	+	0.258711i	$0.916702\pi$
$692$	9.71319	+	3.05125i	0.369240	+	0.115991i
$693$	5.07250	+	11.1072i	0.192688	+	0.421929i
$694$	18.1194	−	8.07019i	0.687805	−	0.306340i
$695$	−21.2690	−	24.5458i	−0.806780	−	0.931074i
$696$	6.95255	+	6.37588i	0.263536	+	0.241677i
$697$	−2.42829	+	3.77849i	−0.0919780	+	0.143121i
$698$	7.58605	−	2.15033i	0.287136	−	0.0813911i
$699$	−2.57595	−	2.23207i	−0.0974312	−	0.0844246i
$700$	0.588894	+	1.35632i	0.0222581	+	0.0512640i
$701$	20.6692	−	2.97178i	0.780664	−	0.112243i	0.259550	−	0.965730i	$-0.416426\pi$
$701$	20.6692	−	2.97178i	0.780664	−	0.112243i	0.521114	+	0.853487i	$0.325517\pi$
$702$	7.52663	+	6.64658i	0.284074	+	0.250859i
$703$	5.88709	+	9.16050i	0.222036	+	0.345495i
$704$	3.32658	+	8.52410i	0.125375	+	0.321264i
$705$	1.69174	+	0.772593i	0.0637147	+	0.0290975i
$706$	−0.210476	−	1.56826i	−0.00792138	−	0.0590222i
$707$	57.1178	−	16.7713i	2.14814	−	0.630750i
$708$	−5.92915	+	3.65501i	−0.222831	+	0.137364i
$709$	−14.6578	+	49.9199i	−0.550486	+	1.87478i	−0.0704858	+	0.997513i	$0.522455\pi$
$709$	−14.6578	+	49.9199i	−0.550486	+	1.87478i	−0.480000	+	0.877269i	$0.659363\pi$
$710$	−12.0325	+	25.7062i	−0.451572	+	0.964737i
$711$	6.61803	−	46.0294i	0.248195	−	1.72624i
$712$	−8.98737	−	14.8904i	−0.336816	−	0.558042i
$713$	47.7707	+	2.71148i	1.78903	+	0.101546i
$714$	−4.71101	−	5.54104i	−0.176305	−	0.207368i
$715$	−8.01995	−	1.15310i	−0.299929	−	0.0431233i
$716$	0.940993	+	3.44252i	0.0351665	+	0.128653i
$717$	1.87293	+	0.549943i	0.0699460	+	0.0205380i
$718$	−3.32148	+	21.6563i	−0.123956	+	0.808205i
$719$	−4.77265	−	16.2541i	−0.177990	−	0.606177i	−0.999360	−	0.0357815i	$-0.988608\pi$
$719$	−4.77265	−	16.2541i	−0.177990	−	0.606177i	0.821370	−	0.570396i	$-0.193210\pi$
$720$	19.5453	−	15.6911i	0.728409	−	0.584773i
$721$	−27.8800	+	61.0488i	−1.03831	+	2.27357i
$722$	22.4828	+	0.211047i	0.836722	+	0.00785437i
$723$	−4.76814	+	3.06430i	−0.177329	+	0.113962i
$724$	−0.793531	+	42.2635i	−0.0294913	+	1.57071i
$725$	−0.250755	−	1.74404i	−0.00931281	−	0.0647721i
$726$	1.49366	−	4.91578i	0.0554351	−	0.182442i
$727$	−21.5901	+	24.9163i	−0.800731	+	0.924093i	−0.998421	−	0.0561715i	$-0.982111\pi$
$727$	−21.5901	+	24.9163i	−0.800731	+	0.924093i	0.197690	+	0.980265i	$0.436656\pi$
$728$	3.90481	+	33.9124i	0.144722	+	1.25688i
$729$	16.5777	+	10.6538i	0.613989	+	0.394587i
$730$	−7.55106	+	11.5107i	−0.279477	+	0.426029i
$731$	−7.68126	+	6.65585i	−0.284102	+	0.246176i
$732$	1.16174	−	2.42244i	0.0429390	−	0.0895360i
$733$	7.07169	−	3.22953i	0.261199	−	0.119286i	−0.280512	−	0.959851i	$-0.590504\pi$
$733$	7.07169	−	3.22953i	0.261199	−	0.119286i	0.541711	+	0.840565i	$0.317777\pi$
$734$	0.978709	−	0.616074i	0.0361248	−	0.0227397i
$735$	−5.69943			−0.210227
$736$	−27.1085	+	1.06228i	−0.999233	+	0.0391562i
$737$	−11.6785			−0.430183
$738$	−4.18288	+	2.63302i	−0.153974	+	0.0969230i
$739$	0.342533	−	0.156430i	0.0126003	−	0.00575436i	−0.409105	−	0.912487i	$-0.634159\pi$
$739$	0.342533	−	0.156430i	0.0126003	−	0.00575436i	0.421705	+	0.906733i	$0.361432\pi$
$740$	11.7177	−	24.4337i	0.430753	−	0.898202i
$741$	−1.61281	+	1.39751i	−0.0592480	+	0.0513387i
$742$	−2.15292	+	3.28186i	−0.0790360	+	0.120481i
$743$	−2.19442	−	1.41027i	−0.0805055	−	0.0517377i	0.499769	−	0.866159i	$-0.333418\pi$
$743$	−2.19442	−	1.41027i	−0.0805055	−	0.0517377i	−0.580274	+	0.814421i	$0.697055\pi$
$744$	1.20996	+	10.5083i	0.0443594	+	0.385251i
$745$	−16.8829	+	19.4839i	−0.618541	+	0.713834i
$746$	−3.26957	+	10.7604i	−0.119707	+	0.393967i
$747$	2.19243	+	15.2487i	0.0802168	+	0.557920i
$748$	−0.157810	+	8.40495i	−0.00577009	+	0.307315i
$749$	−26.9710	+	17.3332i	−0.985498	+	0.633341i
$750$	6.03801	+	0.0566793i	0.220477	+	0.00206964i
$751$	−16.6578	+	36.4756i	−0.607853	+	1.33101i	0.316180	+	0.948699i	$0.397600\pi$
$751$	−16.6578	+	36.4756i	−0.607853	+	1.33101i	−0.924033	+	0.382313i	$0.875128\pi$
$752$	−7.06239	+	5.66975i	−0.257539	+	0.206754i
$753$	0.222767	+	0.758674i	0.00811808	+	0.0276476i
$754$	6.16670	−	40.2073i	0.224578	−	1.46427i
$755$	−2.65362	−	0.779172i	−0.0965750	−	0.0283570i
$756$	−4.32426	−	15.8199i	−0.157272	−	0.575363i
$757$	−26.3015	−	3.78158i	−0.955943	−	0.137444i	−0.353349	−	0.935492i	$-0.614957\pi$
$757$	−26.3015	−	3.78158i	−0.955943	−	0.137444i	−0.602594	+	0.798048i	$0.705866\pi$
$758$	18.3573	+	21.5916i	0.666766	+	0.784243i
$759$	−1.66397	−	1.20788i	−0.0603983	−	0.0438431i
$760$	5.64051	+	9.34529i	0.204603	+	0.338989i
$761$	6.22185	−	43.2739i	0.225542	−	1.56868i	−0.491017	−	0.871150i	$-0.663375\pi$
$761$	6.22185	−	43.2739i	0.225542	−	1.56868i	0.716559	−	0.697527i	$-0.245716\pi$
$762$	−0.519690	+	1.11026i	−0.0188264	+	0.0402206i
$763$	10.8348	−	36.8999i	0.392245	−	1.33587i
$764$	35.8573	−	22.1041i	1.29727	−	0.799699i
$765$	22.0943	−	6.48748i	0.798822	−	0.234555i
$766$	−0.425332	−	3.16915i	−0.0153679	−	0.114506i
$767$	27.3201	+	12.4767i	0.986473	+	0.450507i
$768$	−1.25320	−	5.86510i	−0.0452209	−	0.211639i
$769$	−18.0559	−	28.0956i	−0.651113	−	1.01315i	−0.997188	−	0.0749451i	$-0.976122\pi$
$769$	−18.0559	−	28.0956i	−0.651113	−	1.01315i	0.346074	−	0.938207i	$-0.387515\pi$
$770$	9.91945	+	8.75962i	0.357472	+	0.315675i
$771$	−6.81843	+	0.980342i	−0.245560	+	0.0353062i
$772$	−0.737379	−	1.69830i	−0.0265388	−	0.0611232i
$773$	−29.6254	−	25.6706i	−1.06555	−	0.923306i	−0.0683198	−	0.997663i	$-0.521764\pi$
$773$	−29.6254	−	25.6706i	−1.06555	−	0.923306i	−0.997232	+	0.0743579i	$0.976309\pi$
$774$	−10.7606	+	3.05018i	−0.386782	+	0.109636i
$775$	1.06814	−	1.66206i	0.0383688	−	0.0597030i
$776$	−16.6621	−	15.2801i	−0.598134	−	0.548523i
$777$	−5.66642	−	6.53940i	−0.203282	−	0.234600i
$778$	10.8754	−	4.84375i	0.389900	−	0.173657i
$779$	−0.894181	−	1.95798i	−0.0320374	−	0.0701520i
$780$	5.06661	+	1.59160i	0.181414	+	0.0569883i
$781$		−	10.4755i		−	0.374842i
$782$	−23.3986	−	8.58586i	−0.836731	−	0.307030i
$783$			19.5427i			0.698400i
$784$	12.4692	−	24.7957i	0.445328	−	0.885561i
$785$	−4.66529	−	10.2156i	−0.166511	−	0.364609i
$786$	−2.67083	−	5.99663i	−0.0952653	−	0.213893i
$787$	−24.5886	−	28.3768i	−0.876490	−	1.01152i	−0.999816	−	0.0191574i	$-0.993902\pi$
$787$	−24.5886	−	28.3768i	−0.876490	−	1.01152i	0.123326	−	0.992366i	$-0.460644\pi$
$788$	2.10912	+	16.9182i	0.0751343	+	0.602685i
$789$	−2.03880	+	3.17244i	−0.0725833	+	0.112942i
$790$	−13.7443	−	48.4878i	−0.488999	−	1.72512i
$791$	29.0674	+	25.1871i	1.03352	+	0.895549i
$792$	−4.07829	+	8.30321i	−0.144916	+	0.295042i
$793$	−11.4669	+	1.64869i	−0.407200	+	0.0585466i
$794$	3.15380	−	3.57139i	0.111924	−	0.126744i
$795$	0.330129	+	0.513691i	0.0117085	+	0.0182187i
$796$	−15.2237	−	18.2504i	−0.539589	−	0.646867i
$797$	30.2453	+	13.8126i	1.07134	+	0.489266i	0.871416	−	0.490545i	$-0.163202\pi$
$797$	30.2453	+	13.8126i	1.07134	+	0.489266i	0.199927	+	0.979811i	$0.435930\pi$
$798$	3.45453	−	0.463633i	0.122289	−	0.0164124i
$799$	−7.98345	+	2.34415i	−0.282434	+	0.0829302i
$800$	−0.512647	+	0.996024i	−0.0181248	+	0.0352148i
$801$	4.95384	−	16.8712i	0.175035	−	0.596115i
$802$	−20.0472	−	9.38365i	−0.707890	−	0.331348i
$803$	0.723081	−	5.02914i	0.0255170	−	0.177474i
$804$	7.55495	+	1.23141i	0.266443	+	0.0434286i
$805$	−34.1564	+	19.3079i	−1.20385	+	0.680515i
$806$	34.7497	−	29.5443i	1.22401	−	1.04065i
$807$	−7.53398	−	1.08322i	−0.265209	−	0.0381313i
$808$	37.2380	+	25.4408i	1.31003	+	0.895006i
$809$	−21.3600	−	6.27186i	−0.750977	−	0.220507i	−0.116225	−	0.993223i	$-0.537079\pi$
$809$	−21.3600	−	6.27186i	−0.750977	−	0.220507i	−0.634752	+	0.772716i	$0.718898\pi$
$810$	23.7557	+	3.64347i	0.834690	+	0.128018i
$811$	−10.2056	−	34.7572i	−0.358368	−	1.22049i	−0.919608	−	0.392837i	$-0.871494\pi$
$811$	−10.2056	−	34.7572i	−0.358368	−	1.22049i	0.561240	−	0.827653i	$-0.310324\pi$
$812$	−44.4424	+	49.3847i	−1.55962	+	1.73306i
$813$	1.00740	−	2.20590i	0.0353311	−	0.0773643i
$814$	−0.0938789	+	10.0009i	−0.00329046	+	0.350530i
$815$	18.0216	−	11.5818i	0.631270	−	0.405693i
$816$	0.988330	−	5.42062i	0.0345985	−	0.189760i
$817$	−0.693197	−	4.82129i	−0.0242519	−	0.168676i
$818$	−27.9147	−	8.48192i	−0.976016	−	0.296563i
$819$	−22.6001	+	26.0820i	−0.789713	+	0.911377i
$820$	−2.98010	+	4.45112i	−0.104069	+	0.155440i
$821$	8.19631	+	5.26745i	0.286053	+	0.183835i	0.675796	−	0.737088i	$-0.263800\pi$
$821$	8.19631	+	5.26745i	0.286053	+	0.183835i	−0.389743	+	0.920924i	$0.627436\pi$
$822$	−4.22729	−	2.77313i	−0.147444	−	0.0967240i
$823$	−28.9373	+	25.0743i	−1.00869	+	0.874036i	−0.992052	−	0.125825i	$-0.959842\pi$
$823$	−28.9373	+	25.0743i	−1.00869	+	0.874036i	−0.0166394	+	0.999862i	$0.505297\pi$
$824$	−49.1692	+	12.9453i	−1.71289	+	0.450972i
$825$	−0.0772292	+	0.0352694i	−0.00268877	+	0.00122792i
$826$	−26.1323	−	41.5143i	−0.909258	−	1.44447i
$827$	−14.2948			−0.497077			−0.248539	−	0.968622i	$-0.579950\pi$
$827$	−14.2948			−0.497077			−0.248539	+	0.968622i	$0.579950\pi$
$828$	−19.3149	−	19.4729i	−0.671238	−	0.676729i
$829$	17.8480			0.619887			0.309944	−	0.950755i	$-0.399690\pi$
$829$	17.8480			0.619887			0.309944	+	0.950755i	$0.399690\pi$
$830$	8.89428	+	14.1297i	0.308725	+	0.490447i
$831$	−7.03712	+	3.21375i	−0.244115	+	0.111484i
$832$	−18.0090	+	18.5605i	−0.624351	+	0.643470i
$833$	19.2704	−	16.6979i	0.667679	−	0.578547i
$834$	−6.56952	−	4.30964i	−0.227484	−	0.149231i
$835$	6.79490	+	4.36682i	0.235147	+	0.151120i
$836$	−3.34766	−	2.24131i	−0.115781	−	0.0775173i
$837$	−14.3501	+	16.5609i	−0.496012	+	0.572428i
$838$	−13.5440	−	4.11535i	−0.467869	−	0.142162i
$839$	−2.11741	−	14.7269i	−0.0731011	−	0.508430i	−0.993170	−	0.116674i	$-0.962777\pi$
$839$	−2.11741	−	14.7269i	−0.0731011	−	0.508430i	0.920069	−	0.391756i	$-0.128132\pi$
$840$	−5.49337	−	6.71263i	−0.189539	−	0.231608i
$841$	42.2042	−	27.1230i	1.45532	−	0.935276i
$842$	0.248887	−	26.5138i	0.00857722	−	0.913727i
$843$	2.69376	−	5.89852i	0.0927781	−	0.203156i
$844$	−30.6897	−	27.6184i	−1.05638	−	0.950663i
$845$	1.57413	+	5.36100i	0.0541518	+	0.184424i
$846$	−9.05032	−	1.38807i	−0.311156	−	0.0477228i
$847$	34.7180	+	10.1941i	1.19292	+	0.350274i
$848$	−2.95709	+	0.312396i	−0.101547	+	0.0107277i
$849$	0.664441	+	0.0955322i	0.0228036	+	0.00327866i
$850$	−0.784073	+	0.666621i	−0.0268935	+	0.0228649i
$851$	−27.9324	−	9.95304i	−0.957511	−	0.341186i
$852$	−1.10456	+	6.77670i	−0.0378417	+	0.232166i
$853$	2.41211	−	16.7766i	0.0825892	−	0.574421i	−0.905942	−	0.423402i	$-0.860836\pi$
$853$	2.41211	−	16.7766i	0.0825892	−	0.574421i	0.988531	−	0.151018i	$-0.0482552\pi$
$854$	17.1368	+	8.02137i	0.586409	+	0.274485i
$855$	−3.10905	+	10.5884i	−0.106327	+	0.362117i
$856$	−23.1030	−	7.49641i	−0.789643	−	0.256222i
$857$	29.5877	−	8.68772i	1.01070	−	0.296767i	0.265857	−	0.964012i	$-0.414345\pi$
$857$	29.5877	−	8.68772i	1.01070	−	0.296767i	0.744838	+	0.667246i	$0.232527\pi$
$858$	−1.94264	+	0.260723i	−0.0663208	+	0.00890092i
$859$	25.1115	+	11.4680i	0.856792	+	0.391284i	0.794857	−	0.606797i	$-0.207546\pi$
$859$	25.1115	+	11.4680i	0.856792	+	0.391284i	0.0619346	+	0.998080i	$0.480273\pi$
$860$	−9.30818	+	7.76449i	−0.317406	+	0.264767i
$861$	0.924741	+	1.43892i	0.0315151	+	0.0490384i
$862$	−2.65315	+	3.00445i	−0.0903668	+	0.102332i
$863$	43.5095	−	6.25573i	1.48108	−	0.212947i	0.646112	−	0.763243i	$-0.276394\pi$
$863$	43.5095	−	6.25573i	1.48108	−	0.212947i	0.834970	+	0.550296i	$0.185485\pi$
$864$	7.20027	−	10.1256i	0.244958	−	0.344481i
$865$	8.43054	+	7.30511i	0.286647	+	0.248381i
$866$	7.13685	+	25.1778i	0.242520	+	0.855576i
$867$	−0.708372	+	1.10225i	−0.0240576	+	0.0374343i
$868$	−73.9242	+	9.21583i	−2.50915	+	0.312806i
$869$	12.1809	+	14.0575i	0.413209	+	0.476869i
$870$	4.20526	+	9.44179i	0.142572	+	0.320107i
$871$	−13.7117	−	30.0245i	−0.464603	−	1.01734i
$872$	26.8326	−	11.3522i	0.908667	−	0.384434i
$873$		−	22.8560i		−	0.773557i
$874$	9.52395	−	7.20882i	0.322152	−	0.243842i
$875$			42.5263i			1.43765i
$876$	−0.998056	+	3.17716i	−0.0337212	+	0.107346i
$877$	−20.7018	−	45.3307i	−0.699051	−	1.53071i	−0.841118	−	0.540852i	$-0.818102\pi$
$877$	−20.7018	−	45.3307i	−0.699051	−	1.53071i	0.142066	−	0.989857i	$-0.454625\pi$
$878$	−3.94316	+	1.75624i	−0.133075	+	0.0592701i
$879$	3.53113	+	4.07514i	0.119102	+	0.137451i
$880$	−0.376346	+	10.0186i	−0.0126866	+	0.337725i
$881$	7.62978	−	11.8722i	0.257054	−	0.399984i	−0.688609	−	0.725133i	$-0.741778\pi$
$881$	7.62978	−	11.8722i	0.257054	−	0.399984i	0.945663	+	0.325149i	$0.105415\pi$
$882$	26.9957	−	7.65214i	0.908991	−	0.257661i
$883$	−17.3903	−	15.0687i	−0.585229	−	0.507104i	0.311169	−	0.950355i	$-0.399280\pi$
$883$	−17.3903	−	15.0687i	−0.585229	−	0.507104i	−0.896397	+	0.443251i	$0.853825\pi$
$884$	−21.7937	+	9.46252i	−0.733002	+	0.318259i
$885$	−7.55388	+	1.08608i	−0.253921	+	0.0365083i
$886$	18.3757	+	16.2271i	0.617342	+	0.545159i
$887$	10.8614	+	16.9006i	0.364689	+	0.567468i	0.974306	−	0.225229i	$-0.0723129\pi$
$887$	10.8614	+	16.9006i	0.364689	+	0.567468i	−0.609616	+	0.792697i	$0.708677\pi$
$888$	1.11525	−	6.45978i	0.0374254	−	0.216776i
$889$	−7.85336	−	3.58651i	−0.263393	−	0.120288i
$890$	−2.53483	−	18.8871i	−0.0849678	−	0.633095i
$891$	−8.51088	+	2.49902i	−0.285125	+	0.0837204i
$892$	14.6700	+	23.7977i	0.491188	+	0.796805i
$893$	1.12341	−	3.82598i	0.0375934	−	0.128031i
$894$	−2.64394	+	5.64850i	−0.0884266	+	0.188914i
$895$	−0.556486	+	3.87044i	−0.0186013	+	0.129375i
$896$	41.2220	−	9.21336i	1.37713	−	0.307797i
$897$	1.15169	−	5.69609i	0.0384537	−	0.190187i
$898$	−0.244224	−	0.287255i	−0.00814988	−	0.00958581i
$899$	87.8675	+	12.6334i	2.93054	+	0.421349i
$900$	−1.09244	+	0.298611i	−0.0364146	+	0.00995369i
$901$	−2.62118	−	0.769648i	−0.0873242	−	0.0256407i
$902$	0.299713	−	1.95416i	0.00997937	−	0.0650663i
$903$	1.09046	+	3.71378i	0.0362884	+	0.123587i
$904$	−0.820437	+	29.1267i	−0.0272873	+	0.968740i
$905$	−19.2399	+	42.1296i	−0.639557	+	1.40043i
$906$	−0.669010	−	0.00628005i	−0.0222264	−	0.000208641i
$907$	−3.20468	+	2.05952i	−0.106410	+	0.0683853i	−0.592763	−	0.805377i	$-0.701963\pi$
$907$	−3.20468	+	2.05952i	−0.106410	+	0.0683853i	0.486354	+	0.873762i	$0.338327\pi$
$908$	56.5125	+	1.06107i	1.87543	+	0.0352128i
$909$	6.48872	+	45.1301i	0.215217	+	1.49687i
$910$	−10.8738	+	35.7867i	−0.360464	+	1.18632i
$911$	−13.7808	+	15.9039i	−0.456580	+	0.526921i	−0.936630	−	0.350320i	$-0.886073\pi$
$911$	−13.7808	+	15.9039i	−0.456580	+	0.526921i	0.480050	+	0.877241i	$0.340618\pi$
$912$	1.92931	+	1.80291i	0.0638858	+	0.0597005i
$913$	−5.18388	−	3.33148i	−0.171561	−	0.110256i
$914$	−22.5990	+	34.4495i	−0.747510	+	1.13949i
$915$	2.22465	−	1.92767i	0.0735447	−	0.0637268i
$916$	19.0417	+	9.13187i	0.629155	+	0.301725i
$917$	42.0546	−	19.2057i	1.38877	−	0.634228i
$918$	9.66017	−	6.08085i	0.318833	−	0.200698i
$919$	5.41672			0.178681			0.0893406	−	0.996001i	$-0.471524\pi$
$919$	5.41672			0.178681			0.0893406	+	0.996001i	$0.471524\pi$
$920$	−27.7083	−	10.7617i	−0.913515	−	0.354802i
$921$	−0.0173748			−0.000572519
$922$	10.6624	−	6.71175i	0.351148	−	0.221040i
$923$	26.9316	−	12.2992i	0.886464	−	0.404834i
$924$	2.88656	+	1.38431i	0.0949607	+	0.0455406i
$925$	−0.925343	+	0.801814i	−0.0304251	+	0.0263635i
$926$	−8.60323	+	13.1146i	−0.282720	+	0.430971i
$927$	−43.2432	−	27.7907i	−1.42029	−	0.912766i
$928$	−50.2773	−	2.36145i	−1.65043	−	0.0775184i
$929$	−7.06195	+	8.14992i	−0.231695	+	0.267390i	−0.859677	−	0.510837i	$-0.829335\pi$
$929$	−7.06195	+	8.14992i	−0.231695	+	0.267390i	0.627983	+	0.778227i	$0.283881\pi$
$930$	−3.36942	+	11.0891i	−0.110488	+	0.363624i
$931$	1.73906	+	12.0954i	0.0569953	+	0.396411i
$932$	18.1829	+	0.341398i	0.595600	+	0.0111829i
$933$	2.30130	−	1.47896i	0.0753412	−	0.0484188i
$934$	48.8658	+	0.458707i	1.59894	+	0.0150094i
$935$	−3.82625	+	8.37832i	−0.125132	+	0.274000i
$936$	−26.1352	−	0.736172i	−0.854255	−	0.0240625i
$937$	10.1361	+	34.5205i	0.331133	+	1.12773i	0.941891	+	0.335917i	$0.109046\pi$
$937$	10.1361	+	34.5205i	0.331133	+	1.12773i	−0.610759	+	0.791817i	$0.709136\pi$
$938$	−8.17276	+	53.2870i	−0.266850	+	1.73988i
$939$	−8.04662	−	2.36270i	−0.262591	−	0.0771038i
$940$	−9.57198	+	2.61644i	−0.312203	+	0.0853388i
$941$	−38.2159	−	5.49462i	−1.24580	−	0.179120i	−0.512301	−	0.858806i	$-0.671207\pi$
$941$	−38.2159	−	5.49462i	−1.24580	−	0.179120i	−0.733503	+	0.679687i	$0.762116\pi$
$942$	−1.75975	−	2.06980i	−0.0573357	−	0.0674377i
$943$	5.18533	+	2.73323i	0.168858	+	0.0890063i
$944$	11.8012	−	35.2397i	0.384098	−	1.14695i
$945$	2.55729	−	17.7863i	0.0831886	−	0.578589i
$946$	1.89658	−	4.05184i	0.0616630	−	0.131737i
$947$	−14.4334	+	49.1557i	−0.469023	+	1.59735i	0.297229	+	0.954806i	$0.403938\pi$
$947$	−14.4334	+	49.1557i	−0.469023	+	1.59735i	−0.766252	+	0.642540i	$0.777881\pi$
$948$	−6.39771	−	10.3784i	−0.207788	−	0.337073i
$949$	13.7785	−	4.04572i	0.447268	−	0.131330i
$950$	−0.0656054	−	0.488826i	−0.00212852	−	0.0158596i
$951$	2.45733	+	1.12222i	0.0796842	+	0.0363906i
$952$	38.2399	+	6.60194i	1.23936	+	0.213970i
$953$	−11.8788	−	18.4837i	−0.384790	−	0.598746i	0.593788	−	0.804622i	$-0.297632\pi$
$953$	−11.8788	−	18.4837i	−0.384790	−	0.598746i	−0.978578	+	0.205876i	$0.933996\pi$
$954$	−2.25336	−	1.98989i	−0.0729553	−	0.0644250i
$955$	45.6830	−	6.56823i	1.47827	−	0.212543i
$956$	−9.55341	+	4.14795i	−0.308979	+	0.134154i
$957$	−2.88300	−	2.49813i	−0.0931941	−	0.0807532i
$958$	39.6532	−	11.2400i	1.28114	−	0.363148i
$959$	19.2502	−	29.9540i	0.621623	−	0.967264i
$960$	1.29985	−	6.44143i	0.0419524	−	0.207896i
$961$	44.8832	+	51.7980i	1.44785	+	1.67090i
$962$	−25.8216	+	11.5007i	−0.832523	+	0.370796i
$963$	−10.2007	−	22.3365i	−0.328714	−	0.719783i
$964$	9.06320	−	28.8514i	0.291906	−	0.929240i
$965$		−	2.02860i		−	0.0653031i
$966$	−6.67580	+	6.74713i	−0.214790	+	0.217085i
$967$			57.4779i			1.84836i	0.381952	+	0.924182i	$0.375252\pi$
$967$			57.4779i			1.84836i	−0.381952	+	0.924182i	$0.624748\pi$
$968$	10.6809	+	25.2460i	0.343299	+	0.811438i
$969$	1.00778	+	2.20672i	0.0323744	+	0.0708901i
$970$	−10.0781	−	22.6277i	−0.323588	−	0.726531i
$971$	−14.7913	−	17.0701i	−0.474675	−	0.547804i	0.467031	−	0.884241i	$-0.345324\pi$
$971$	−14.7913	−	17.0701i	−0.474675	−	0.547804i	−0.941706	+	0.336437i	$0.890778\pi$
$972$	18.8464	−	2.34951i	0.604499	−	0.0753604i
$973$	29.9163	−	46.5506i	0.959072	−	1.49234i
$974$	−7.44693	−	26.2717i	−0.238615	−	0.841800i
$975$	−0.181349	−	0.157140i	−0.00580783	−	0.00503251i
$976$	3.51937	+	13.8958i	0.112652	+	0.444794i
$977$	11.7808	−	1.69383i	0.376903	−	0.0541904i	0.0487397	−	0.998812i	$-0.484480\pi$
$977$	11.7808	−	1.69383i	0.376903	−	0.0541904i	0.328163	+	0.944621i	$0.393570\pi$
$978$	3.43030	−	3.88449i	0.109689	−	0.124212i
$979$	3.80247	+	5.91676i	0.121528	+	0.189101i
$980$	23.3519	−	19.4792i	0.745949	−	0.622239i
$981$	26.7934	+	12.2361i	0.855448	+	0.390670i
$982$	−15.0169	+	2.01543i	−0.479210	+	0.0643148i
$983$	36.5695	−	10.7378i	1.16639	−	0.342482i	0.359475	−	0.933155i	$-0.382956\pi$
$983$	36.5695	−	10.7378i	1.16639	−	0.342482i	0.806911	+	0.590673i	$0.201138\pi$
$984$	−0.399940	+	1.23256i	−0.0127496	+	0.0392927i
$985$	−5.26283	+	17.9236i	−0.167688	+	0.571092i
$986$	−41.8805	−	19.6033i	−1.33375	−	0.624297i
$987$	−0.450940	+	3.13635i	−0.0143536	+	0.0998313i
$988$	1.83174	−	11.2381i	0.0582754	−	0.357531i
$989$	9.51601	+	9.24027i	0.302592	+	0.293823i
$990$	−7.72204	+	6.56530i	−0.245423	+	0.208659i
$991$	−11.4588	−	1.64753i	−0.364002	−	0.0523356i	−0.0421126	−	0.999113i	$-0.513409\pi$
$991$	−11.4588	−	1.64753i	−0.364002	−	0.0523356i	−0.321889	+	0.946777i	$0.604318\pi$
$992$	−40.8719	−	38.9194i	−1.29769	−	1.23569i
$993$	7.55763	+	2.21912i	0.239834	+	0.0704216i
$994$	−47.7978	−	7.33087i	−1.51606	−	0.232521i
$995$	−7.33632	−	24.9852i	−0.232577	−	0.792085i
$996$	3.00223	+	2.70177i	0.0951293	+	0.0856090i
$997$	16.0331	−	35.1076i	0.507773	−	1.11187i	−0.466091	−	0.884737i	$-0.654338\pi$
$997$	16.0331	−	35.1076i	0.507773	−	1.11187i	0.973864	−	0.227132i	$-0.0729348\pi$
$998$	0.121516	−	12.9450i	0.00384651	−	0.409767i
$999$	11.4245	−	7.34208i	0.361455	−	0.232293i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	92.2.h.a.15.3	✓	100
3.2	odd	2		828.2.u.a.199.8		100
4.3	odd	2	inner	92.2.h.a.15.7	yes	100
12.11	even	2		828.2.u.a.199.4		100
23.20	odd	22	inner	92.2.h.a.43.7	yes	100
69.20	even	22		828.2.u.a.595.4		100
92.43	even	22	inner	92.2.h.a.43.3	yes	100
276.227	odd	22		828.2.u.a.595.8		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
92.2.h.a.15.3	✓	100	1.1	even	1	trivial
92.2.h.a.15.7	yes	100	4.3	odd	2	inner
92.2.h.a.43.3	yes	100	92.43	even	22	inner
92.2.h.a.43.7	yes	100	23.20	odd	22	inner
828.2.u.a.199.4		100	12.11	even	2
828.2.u.a.199.8		100	3.2	odd	2
828.2.u.a.595.4		100	69.20	even	22
828.2.u.a.595.8		100	276.227	odd	22

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:	\( N \)	\(=\)	\( 92 = 2^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	92.h (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.19684 + 0.753380i) q^{2} +(-0.340970 + 0.155716i) q^{3} +(0.864836 - 1.80335i) q^{4} +(1.65610 - 1.43502i) q^{5} +(0.290772 - 0.443246i) q^{6} +(3.14077 + 2.01845i) q^{7} +(0.323539 + 2.80986i) q^{8} +(-1.87257 + 2.16106i) q^{9} +(-0.900968 + 2.96516i) q^{10} +(-0.162776 - 1.13213i) q^{11} +(-0.0140735 + 0.749555i) q^{12} +(2.71951 - 1.74772i) q^{13} +(-5.27965 - 0.0495605i) q^{14} +(-0.341226 + 0.747180i) q^{15} +(-2.50412 - 3.11920i) q^{16} +(-1.03533 - 3.52600i) q^{17} +(0.613059 - 3.99719i) q^{18} +(1.68979 + 0.496168i) q^{19} +(-1.15559 - 4.22759i) q^{20} +(-1.38521 - 0.199163i) q^{21} +(1.04775 + 1.23235i) q^{22} +(-4.46833 + 1.74184i) q^{23} +(-0.547856 - 0.907697i) q^{24} +(-0.0281822 + 0.196011i) q^{25} +(-1.93811 + 4.14056i) q^{26} +(0.618795 - 2.10742i) q^{27} +(6.35622 - 3.91827i) q^{28} +(-8.53724 + 2.50676i) q^{29} +(-0.154520 - 1.15133i) q^{30} +(-9.07531 - 4.14456i) q^{31} +(5.34696 + 1.84662i) q^{32} +(0.231793 + 0.360677i) q^{33} +(3.89553 + 3.44005i) q^{34} +(8.09797 - 1.16431i) q^{35} +(2.27768 + 5.24585i) q^{36} +(4.67281 + 4.04902i) q^{37} +(-2.39621 + 0.679225i) q^{38} +(-0.655122 + 1.01939i) q^{39} +(4.56803 + 4.18914i) q^{40} +(-0.800388 - 0.923697i) q^{41} +(1.80792 - 0.805226i) q^{42} +(-1.14894 - 2.51582i) q^{43} +(-2.18241 - 0.685568i) q^{44} +6.26612i q^{45} +(4.03559 - 5.45106i) q^{46} -2.26417i q^{47} +(1.33954 + 0.673621i) q^{48} +(2.88240 + 6.31158i) q^{49} +(-0.113942 - 0.255825i) q^{50} +(0.902067 + 1.04104i) q^{51} +(-0.799821 - 6.41571i) q^{52} +(0.401905 - 0.625377i) q^{53} +(0.847094 + 2.98843i) q^{54} +(-1.89421 - 1.64135i) q^{55} +(-4.65541 + 9.47819i) q^{56} +(-0.653429 + 0.0939489i) q^{57} +(8.32913 - 9.43197i) q^{58} +(5.02299 + 7.81592i) q^{59} +(1.05232 + 1.26154i) q^{60} +(-3.25979 - 1.48870i) q^{61} +(13.9841 - 1.87681i) q^{62} +(-10.2433 + 3.00771i) q^{63} +(-7.79064 + 1.81820i) q^{64} +(1.99577 - 6.79697i) q^{65} +(-0.549145 - 0.257043i) q^{66} +(1.45310 - 10.1065i) q^{67} +(-7.25398 - 1.18236i) q^{68} +(1.25233 - 1.28970i) q^{69} +(-8.81478 + 7.49435i) q^{70} +(9.06545 + 1.30341i) q^{71} +(-6.67813 - 4.56247i) q^{72} +(4.26223 + 1.25150i) q^{73} +(-8.64304 - 1.32560i) q^{74} +(-0.0209128 - 0.0712223i) q^{75} +(2.35616 - 2.61818i) q^{76} +(1.77392 - 3.88434i) q^{77} +(0.0160857 - 1.71360i) q^{78} +(-13.6810 + 8.79222i) q^{79} +(-8.62320 - 1.57225i) q^{80} +(-1.10368 - 7.67624i) q^{81} +(1.65383 + 0.502518i) q^{82} +(3.52806 - 4.07160i) q^{83} +(-1.55714 + 2.32577i) q^{84} +(-6.77449 - 4.35370i) q^{85} +(3.27047 + 2.14544i) q^{86} +(2.52060 - 2.18411i) q^{87} +(3.12848 - 0.823669i) q^{88} +(-5.59347 + 2.55445i) q^{89} +(-4.72077 - 7.49952i) q^{90} +12.0691 q^{91} +(-0.723225 + 9.56436i) q^{92} +3.73978 q^{93} +(1.70578 + 2.70984i) q^{94} +(3.51049 - 1.60318i) q^{95} +(-2.11070 + 0.202966i) q^{96} +(-6.04072 + 5.23431i) q^{97} +(-8.20478 - 5.38238i) q^{98} +(2.75142 + 1.76823i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25}+ \cdots - 71 q^{98}+O(q^{100}) \) 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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