LMFDB - Embedded newform 92.2.h.a.15.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [92,2,Mod(7,92)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

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")

//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);

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: f = N[0] # Warning: the index may be different

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			15.7
Character	$\chi$	$=$	92.15
Dual form			92.2.h.a.43.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.936105 + 1.06005i) q^{2} +(0.340970 - 0.155716i) q^{3} +(-0.247417 + 1.98464i) q^{4} +(1.65610 - 1.43502i) q^{5} +(0.484250 + 0.215679i) q^{6} +(-3.14077 - 2.01845i) q^{7} +(-2.33542 + 1.59555i) q^{8} +(-1.87257 + 2.16106i) q^{9} +(3.07148 + 0.412224i) q^{10} +(0.162776 + 1.13213i) q^{11} +(0.224677 + 0.715227i) q^{12} +(2.71951 - 1.74772i) q^{13} +(-0.800429 - 5.21886i) q^{14} +(0.341226 - 0.747180i) q^{15} +(-3.87757 - 0.982065i) q^{16} +(-1.03533 - 3.52600i) q^{17} +(-4.04375 + 0.0379590i) q^{18} +(-1.68979 - 0.496168i) q^{19} +(2.43825 + 3.64182i) 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} +(4.39842 + 1.24677i) q^{26} +(-0.618795 + 2.10742i) q^{27} +(4.78297 - 5.73390i) q^{28} +(-8.53724 + 2.50676i) q^{29} +(1.11147 - 0.337722i) q^{30} +(9.07531 + 4.14456i) q^{31} +(-2.58877 - 5.02974i) q^{32} +(0.231793 + 0.360677i) q^{33} +(2.76856 - 4.39820i) q^{34} +(-8.09797 + 1.16431i) q^{35} +(-3.82562 - 4.25105i) q^{36} +(4.67281 + 4.04902i) q^{37} +(-1.05586 - 2.25573i) q^{38} +(0.655122 - 1.01939i) q^{39} +(-1.57805 + 5.99379i) q^{40} +(-0.800388 - 0.923697i) q^{41} +(-1.08558 - 1.65483i) q^{42} +(1.14894 + 2.51582i) q^{43} +(-2.28715 + 0.0429431i) q^{44} +6.26612i q^{45} +(6.02927 + 3.10611i) q^{46} +2.26417i q^{47} +(-1.47506 + 0.268944i) q^{48} +(2.88240 + 6.31158i) q^{49} +(-0.234163 + 0.153613i) q^{50} +(-0.902067 - 1.04104i) q^{51} +(2.79574 + 5.82966i) q^{52} +(0.401905 - 0.625377i) q^{53} +(-2.81323 + 1.31681i) q^{54} +(1.89421 + 1.64135i) q^{55} +(10.5556 - 0.297328i) q^{56} +(-0.653429 + 0.0939489i) q^{57} +(-10.6490 - 6.70332i) q^{58} +(-5.02299 - 7.81592i) q^{59} +(1.39846 + 0.862074i) q^{60} +(-3.25979 - 1.48870i) q^{61} +(4.10200 + 13.5000i) q^{62} +(10.2433 - 3.00771i) q^{63} +(2.90842 - 7.45259i) q^{64} +(1.99577 - 6.79697i) q^{65} +(-0.165353 + 0.583343i) 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} +(0.925157 - 8.03478i) q^{72} +(4.26223 + 1.25150i) q^{73} +(0.0820780 + 8.74372i) q^{74} +(0.0209128 + 0.0712223i) q^{75} +(1.40280 - 3.23086i) q^{76} +(1.77392 - 3.88434i) q^{77} +(1.69387 - 0.259793i) q^{78} +(13.6810 - 8.79222i) q^{79} +(-7.83095 + 3.93800i) q^{80} +(-1.10368 - 7.67624i) q^{81} +(0.229919 - 1.71313i) q^{82} +(-3.52806 + 4.07160i) q^{83} +(0.737992 - 2.69987i) q^{84} +(-6.77449 - 4.35370i) q^{85} +(-1.59138 + 3.57301i) q^{86} +(-2.52060 + 2.18411i) q^{87} +(-2.18653 - 2.38430i) q^{88} +(-5.59347 + 2.55445i) q^{89} +(-6.64241 + 5.86574i) q^{90} -12.0691 q^{91} +(2.35139 + 9.29898i) q^{92} +3.73978 q^{93} +(-2.40013 + 2.11950i) q^{94} +(-3.51049 + 1.60318i) q^{95} +(-1.66590 - 1.31188i) q^{96} +(-6.04072 + 5.23431i) q^{97} +(-3.99237 + 8.96379i) 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 $

$2$	0.936105	+	1.06005i	0.661926	+	0.749569i
$2$	0.936105	+	1.06005i	0.661926	+	0.749569i
$3$	0.340970	−	0.155716i	0.196859	−	0.0899024i	−0.314546	−	0.949242i	$-0.601852\pi$
$3$	0.340970	−	0.155716i	0.196859	−	0.0899024i	0.511405	+	0.859340i	$0.329125\pi$
$4$	−0.247417	+	1.98464i	−0.123708	+	0.992319i
$5$	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	$0.109725\pi$
$6$	0.484250	+	0.215679i	0.197694	+	0.0880506i
$7$	−3.14077	−	2.01845i	−1.18710	−	0.762903i	−0.210422	−	0.977611i	$-0.567484\pi$
$7$	−3.14077	−	2.01845i	−1.18710	−	0.762903i	−0.976678	+	0.214707i	$0.931120\pi$
$8$	−2.33542	+	1.59555i	−0.825697	+	0.564113i
$9$	−1.87257	+	2.16106i	−0.624190	+	0.720353i
$10$	3.07148	+	0.412224i	0.971289	+	0.130357i
$11$	0.162776	+	1.13213i	0.0490789	+	0.341352i	0.999535	+	0.0304926i	$0.00970759\pi$
$11$	0.162776	+	1.13213i	0.0490789	+	0.341352i	−0.950456	+	0.310859i	$0.899383\pi$
$12$	0.224677	+	0.715227i	0.0648588	+	0.206468i
$13$	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	$0.170214\pi$
$14$	−0.800429	−	5.21886i	−0.213924	−	1.39480i
$15$	0.341226	−	0.747180i	0.0881041	−	0.192921i
$16$	−3.87757	−	0.982065i	−0.969392	−	0.245516i
$17$	−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	$-0.237933\pi$
$18$	−4.04375	+	0.0379590i	−0.953122	+	0.00894703i
$19$	−1.68979	−	0.496168i	−0.387665	−	0.113829i	0.0820914	−	0.996625i	$-0.473840\pi$
$19$	−1.68979	−	0.496168i	−0.387665	−	0.113829i	−0.469756	+	0.882796i	$0.655658\pi$
$20$	2.43825	+	3.64182i	0.545210	+	0.814335i
$21$	−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
$26$	4.39842	+	1.24677i	0.862601	+	0.244511i
$27$	−0.618795	+	2.10742i	−0.119087	+	0.405574i
$28$	4.78297	−	5.73390i	0.903897	−	1.08360i
$29$	−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	$0.718551\pi$
$30$	1.11147	−	0.337722i	0.202926	−	0.0616593i
$31$	9.07531	+	4.14456i	1.62997	+	0.744384i	0.999494	−	0.0318213i	$-0.0101307\pi$
$31$	9.07531	+	4.14456i	1.62997	+	0.744384i	0.630480	+	0.776205i	$0.282858\pi$
$32$	−2.58877	−	5.02974i	−0.457635	−	0.889140i
$33$	0.231793	+	0.360677i	0.0403500	+	0.0627858i
$34$	2.76856	−	4.39820i	0.474805	−	0.754285i
$35$	−8.09797	+	1.16431i	−1.36881	+	0.196805i
$36$	−3.82562	−	4.25105i	−0.637603	−	0.708509i
$37$	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	$0.557569\pi$
$38$	−1.05586	−	2.25573i	−0.171283	−	0.365928i
$39$	0.655122	−	1.01939i	0.104904	−	0.163233i
$40$	−1.57805	+	5.99379i	−0.249512	+	0.947702i
$41$	−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	$0.803153\pi$
$42$	−1.08558	−	1.65483i	−0.167509	−	0.255346i
$43$	1.14894	+	2.51582i	0.175212	+	0.383660i	0.976780	−	0.214243i	$-0.0687283\pi$
$43$	1.14894	+	2.51582i	0.175212	+	0.383660i	−0.801569	+	0.597902i	$0.796001\pi$
$44$	−2.28715	+	0.0429431i	−0.344801	+	0.00647392i
$45$			6.26612i			0.934098i
$46$	6.02927	+	3.10611i	0.888967	+	0.457971i
$47$			2.26417i			0.330263i	0.986272	+	0.165131i	$0.0528048\pi$
$47$			2.26417i			0.330263i	−0.986272	+	0.165131i	$0.947195\pi$
$48$	−1.47506	+	0.268944i	−0.212906	+	0.0388187i
$49$	2.88240	+	6.31158i	0.411771	+	0.901654i
$50$	−0.234163	+	0.153613i	−0.0331157	+	0.0217241i
$51$	−0.902067	−	1.04104i	−0.126315	−	0.145775i
$52$	2.79574	+	5.82966i	0.387700	+	0.808428i
$53$	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	$0.165559\pi$
$54$	−2.81323	+	1.31681i	−0.382832	+	0.179196i
$55$	1.89421	+	1.64135i	0.255416	+	0.221319i
$56$	10.5556	−	0.297328i	1.41055	−	0.0397322i
$57$	−0.653429	+	0.0939489i	−0.0865488	+	0.0124438i
$58$	−10.6490	−	6.70332i	−1.39829	−	0.880189i
$59$	−5.02299	−	7.81592i	−0.653937	−	1.01755i	−0.996937	−	0.0782107i	$-0.975079\pi$
$59$	−5.02299	−	7.81592i	−0.653937	−	1.01755i	0.343000	−	0.939336i	$-0.388557\pi$
$60$	1.39846	+	0.862074i	0.180540	+	0.111293i
$61$	−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	$0.710046\pi$
$62$	4.10200	+	13.5000i	0.520954	+	1.71451i
$63$	10.2433	−	3.00771i	1.29054	−	0.378936i
$64$	2.90842	−	7.45259i	0.363552	−	0.931574i
$65$	1.99577	−	6.79697i	0.247545	−	0.843060i
$66$	−0.165353	+	0.583343i	−0.0203536	+	0.0718046i
$67$	−1.45310	+	10.1065i	−0.177525	+	1.23471i	0.684943	+	0.728597i	$0.259827\pi$
$67$	−1.45310	+	10.1065i	−0.177525	+	1.23471i	−0.862467	+	0.506113i	$0.831082\pi$
$68$	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	−0.418472	−	0.908230i	$-0.637434\pi$
$71$	−9.06545	−	1.30341i	−1.07587	−	0.154687i	−0.657399	+	0.753543i	$0.728343\pi$
$72$	0.925157	−	8.03478i	0.109031	−	0.946908i
$73$	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	$0.507200\pi$
$74$	0.0820780	+	8.74372i	0.00954138	+	1.01644i
$75$	0.0209128	+	0.0712223i	0.00241480	+	0.00822404i
$76$	1.40280	−	3.23086i	0.160912	−	0.370606i
$77$	1.77392	−	3.88434i	0.202157	−	0.442661i
$78$	1.69387	−	0.259793i	0.191793	−	0.0294157i
$79$	13.6810	−	8.79222i	1.53923	−	0.989202i	0.551296	−	0.834310i	$-0.314133\pi$
$79$	13.6810	−	8.79222i	1.53923	−	0.989202i	0.987931	−	0.154892i	$-0.0495029\pi$
$80$	−7.83095	+	3.93800i	−0.875526	+	0.440282i
$81$	−1.10368	−	7.67624i	−0.122631	−	0.852915i
$82$	0.229919	−	1.71313i	0.0253903	−	0.189183i
$83$	−3.52806	+	4.07160i	−0.387255	+	0.446916i	−0.915586	−	0.402123i	$-0.868273\pi$
$83$	−3.52806	+	4.07160i	−0.387255	+	0.446916i	0.528331	+	0.849038i	$0.322818\pi$
$84$	0.737992	−	2.69987i	0.0805215	−	0.294580i
$85$	−6.77449	−	4.35370i	−0.734797	−	0.472225i
$86$	−1.59138	+	3.57301i	−0.171603	+	0.385287i
$87$	−2.52060	+	2.18411i	−0.270236	+	0.234161i
$88$	−2.18653	−	2.38430i	−0.233085	−	0.254167i
$89$	−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	$0.469305\pi$
$90$	−6.64241	+	5.86574i	−0.700171	+	0.618304i
$91$	−12.0691			−1.26518
$92$	2.35139	+	9.29898i	0.245149	+	0.969485i
$93$	3.73978			0.387797
$94$	−2.40013	+	2.11950i	−0.247555	+	0.218610i
$95$	−3.51049	+	1.60318i	−0.360168	+	0.164483i
$96$	−1.66590	−	1.31188i	−0.170025	−	0.133893i
$97$	−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	$0.405729\pi$
$98$	−3.99237	+	8.96379i	−0.403290	+	0.905479i
$99$	−2.75142	−	1.76823i	−0.276528	−	0.177714i
$100$	−0.382039	−	0.104428i	−0.0382039	−	0.0104428i
$101$	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	$-0.0643585\pi$
$102$	0.259128	−	1.93076i	0.0256575	−	0.191174i
$103$	−2.55830	−	17.7934i	−0.252077	−	1.75323i	−0.585701	−	0.810527i	$-0.699181\pi$
$103$	−2.55830	−	17.7934i	−0.252077	−	1.75323i	0.333624	−	0.942706i	$-0.391728\pi$
$104$	−3.56263	+	8.42080i	−0.349344	+	0.825727i
$105$	−2.57986	+	1.65798i	−0.251769	+	0.161802i
$106$	1.03916	−	0.159378i	0.100932	−	0.0154802i
$107$	3.56732	−	7.81135i	0.344866	−	0.755151i	−0.655134	−	0.755513i	$-0.727388\pi$
$107$	3.56732	−	7.81135i	0.344866	−	0.755151i	1.00000		0.000361420i	$0.000115044\pi$
$108$	−4.02937	−	1.74950i	−0.387726	−	0.168345i
$109$	−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	$-0.255127\pi$
$110$	0.0332719	+	3.54444i	0.00317235	+	0.337949i
$111$	2.22378	+	0.652961i	0.211072	+	0.0619763i
$112$	10.1963	+	10.9111i	0.963461	+	1.03101i
$113$	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
$118$	3.58323	−	12.6411i	0.329863	−	1.16371i
$119$	−3.86533	+	13.1641i	−0.354334	+	1.20675i
$120$	0.395259	+	2.28943i	0.0360820	+	0.208995i
$121$	9.29919	−	2.73049i	0.845381	−	0.248226i
$122$	−1.47341	−	4.84912i	−0.133396	−	0.439019i
$123$	−0.416742	−	0.190320i	−0.0375764	−	0.0171605i
$124$	−10.4708	+	16.9858i	−0.940308	+	1.52537i
$125$	6.15825	+	9.58242i	0.550811	+	0.857078i
$126$	12.7771	+	8.04291i	1.13828	+	0.716519i
$127$	2.28895	−	0.329102i	0.203112	−	0.0292031i	−0.0400079	−	0.999199i	$-0.512738\pi$
$127$	2.28895	−	0.329102i	0.203112	−	0.0292031i	0.243120	+	0.969996i	$0.421829\pi$
$128$	10.6227	−	3.89333i	0.938924	−	0.344125i
$129$	0.783506	+	0.678912i	0.0689839	+	0.0597749i
$130$	9.07339	−	4.24706i	0.795789	−	0.372491i
$131$	−6.69494	+	10.4175i	−0.584940	+	0.910184i	0.415060	+	0.909794i	$0.363761\pi$
$131$	−6.69494	+	10.4175i	−0.584940	+	0.910184i	−1.00000		0.000390307i	$0.999876\pi$
$132$	−0.773162	+	0.370787i	−0.0672951	+	0.0322729i
$133$	4.30576	+	4.96912i	0.373357	+	0.430877i
$134$	−12.0737	+	7.92042i	−1.04301	+	0.684220i
$135$	1.99941	+	4.37810i	0.172082	+	0.376807i
$136$	8.04384	+	6.58278i	0.689754	+	0.564469i
$137$		−	9.53713i		−	0.814812i	−0.913247	−	0.407406i	$-0.866433\pi$
$137$		−	9.53713i		−	0.814812i	0.913247	−	0.407406i	$-0.133567\pi$
$138$	2.53947	+	0.120239i	0.216174	+	0.0102354i
$139$			14.8214i			1.25713i	0.777755	+	0.628567i	$0.216358\pi$
$139$			14.8214i			1.25713i	−0.777755	+	0.628567i	$0.783642\pi$
$140$	−0.307165	−	16.3596i	−0.0259602	−	1.38264i
$141$	0.352566	+	0.772013i	0.0296914	+	0.0650152i
$142$	−7.10452	−	10.8300i	−0.596198	−	0.908831i
$143$	2.42133	+	2.79436i	0.202482	+	0.233676i
$144$	9.38332	−	6.54068i	0.781943	−	0.545056i
$145$	−10.5413	+	16.4026i	−0.875407	+	1.36216i
$146$	2.66324	+	5.68972i	0.220411	+	0.470885i
$147$	1.96562	+	1.70322i	0.162122	+	0.140479i
$148$	−9.19196	+	8.27205i	−0.755575	+	0.679958i
$149$	−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	$0.614602\pi$
$150$	−0.0559228	+	0.0888401i	−0.00456607	+	0.00725376i
$151$	0.682332	+	1.06173i	0.0555274	+	0.0864023i	0.867907	−	0.496726i	$-0.165465\pi$
$151$	0.682332	+	1.06173i	0.0555274	+	0.0864023i	−0.812380	+	0.583129i	$0.801828\pi$
$152$	4.73805	−	1.53739i	0.384306	−	0.124699i
$153$	9.55861	+	4.36527i	0.772768	+	0.352911i
$154$	5.77817	−	1.75570i	0.465618	−	0.141478i
$155$	20.9772	−	6.15946i	1.68493	−	0.494740i
$156$	1.86103	+	1.55239i	0.149002	+	0.124291i
$157$	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	$0.0253502\pi$
$158$	22.1270	+	6.27208i	1.76033	+	0.498980i
$159$	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	−0.247486	−	0.968892i	$-0.579604\pi$
$163$	−9.67641	−	1.39126i	−0.757915	−	0.108972i	−0.510429	+	0.859920i	$0.670513\pi$
$164$	2.03123	−	1.35994i	0.158613	−	0.106194i
$165$	0.901453	+	0.264690i	0.0701780	+	0.0206061i
$166$	−7.61873	+	0.0715176i	−0.591328	+	0.00555084i
$167$	−1.03844	−	3.53662i	−0.0803572	−	0.273672i	0.909507	−	0.415689i	$-0.136459\pi$
$167$	−1.03844	−	3.53662i	−0.0803572	−	0.273672i	−0.989864	+	0.142017i	$0.954641\pi$
$168$	3.55284	−	1.74505i	0.274107	−	0.134633i
$169$	−1.05920	+	2.31932i	−0.0814766	+	0.178409i
$170$	−1.72649	−	11.2568i	−0.132416	−	0.863360i
$171$	4.23650	−	2.72263i	0.323973	−	0.208205i
$172$	−5.27727	+	1.65777i	−0.402388	+	0.126404i
$173$	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	$0.892557\pi$
$174$	−4.67481	−	0.627406i	−0.354396	−	0.0475636i
$175$	0.484153	−	0.558743i	0.0365986	−	0.0422370i
$176$	0.480653	−	4.54979i	0.0362306	−	0.342953i
$177$	−2.92975	−	1.88283i	−0.220213	−	0.141522i
$178$	−7.94393	−	3.53813i	−0.595423	−	0.265194i
$179$	1.34857	−	1.16854i	0.100797	−	0.0873407i	−0.603005	−	0.797738i	$-0.706030\pi$
$179$	1.34857	−	1.16854i	0.100797	−	0.0873407i	0.703801	+	0.710397i	$0.251485\pi$
$180$	−12.4360	−	1.55034i	−0.926923	−	0.115556i
$181$	−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	$0.651227\pi$
$182$	−11.2979	−	12.7938i	−0.837456	−	0.948341i
$183$	−1.34330			−0.0992998
$184$	−7.65625	+	11.1974i	−0.564426	+	0.825484i
$185$	13.5491			0.996150
$186$	3.50082	+	3.96435i	0.256693	+	0.290681i
$187$	3.82338	−	1.74608i	0.279593	−	0.127686i
$188$	−4.49355	−	0.560193i	−0.327726	−	0.0408563i
$189$	6.19723	−	5.36993i	0.450782	−	0.390605i
$190$	−4.98564	−	2.22055i	−0.361696	−	0.161095i
$191$	−17.7180	−	11.3867i	−1.28203	−	0.823911i	−0.290893	−	0.956756i	$-0.593952\pi$
$191$	−17.7180	−	11.3867i	−1.28203	−	0.823911i	−0.991137	+	0.132845i	$0.957589\pi$
$192$	−0.168803	−	2.99399i	−0.0121823	−	0.216073i
$193$	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	$0.216665\pi$
$194$	−11.2034	−	1.50361i	−0.804356	−	0.107953i
$195$	−0.377897	−	2.62833i	−0.0270618	−	0.188219i
$196$	−13.2393	+	4.15893i	−0.945667	+	0.297066i
$197$	−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	$0.416396\pi$
$198$	−0.701203	−	4.57190i	−0.0498323	−	0.324911i
$199$	−4.93644	+	10.8093i	−0.349935	+	0.766250i	0.650045	+	0.759896i	$0.274750\pi$
$199$	−4.93644	+	10.8093i	−0.349935	+	0.766250i	−0.999980	+	0.00635466i	$0.997977\pi$
$200$	−0.246929	−	0.502736i	−0.0174605	−	0.0355488i
$201$	1.07828	+	3.67229i	0.0760562	+	0.259024i
$202$	22.5484	−	0.211664i	1.58650	−	0.0148926i
$203$	31.8733	+	9.35884i	2.23707	+	0.656862i
$204$	2.28928	−	1.53271i	0.160281	−	0.107311i
$205$	−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
$210$	−4.17256	−	1.18275i	−0.287934	−	0.0816172i
$211$	−5.81597	+	19.8074i	−0.400388	+	1.36360i	0.474919	+	0.880030i	$0.342477\pi$
$211$	−5.81597	+	19.8074i	−0.400388	+	1.36360i	−0.875307	+	0.483567i	$0.839341\pi$
$212$	1.14171	+	0.952365i	0.0784129	+	0.0654087i
$213$	−3.29400	+	0.967207i	−0.225701	+	0.0662719i
$214$	11.6198	−	3.53069i	0.794314	−	0.241353i
$215$	5.51303	+	2.51772i	0.375985	+	0.171707i
$216$	−1.91736	−	5.90905i	−0.130460	−	0.402060i
$217$	−20.1379	−	31.3352i	−1.36705	−	2.12717i
$218$	7.76047	−	12.3284i	0.525605	−	0.834988i
$219$	1.64817	−	0.236971i	0.111373	−	0.0160130i
$220$	−3.72614	+	3.35323i	−0.251216	+	0.226075i
$221$	−8.97805	−	7.77952i	−0.603929	−	0.523307i
$222$	1.38952	+	2.96856i	0.0932585	+	0.199237i
$223$	7.55708	−	11.7591i	0.506060	−	0.787444i	−0.490402	−	0.871497i	$-0.663150\pi$
$223$	7.55708	−	11.7591i	0.506060	−	0.787444i	0.996461	+	0.0840523i	$0.0267863\pi$
$224$	−2.02154	+	21.0226i	−0.135070	+	1.40463i
$225$	−0.370819	−	0.427948i	−0.0247213	−	0.0285299i
$226$	7.99137	+	12.1819i	0.531578	+	0.810325i
$227$	−11.7401	−	25.7073i	−0.779220	−	1.70625i	−0.705212	−	0.708996i	$-0.749148\pi$
$227$	−11.7401	−	25.7073i	−0.779220	−	1.70625i	−0.0740076	−	0.997258i	$-0.523579\pi$
$228$	−0.0247853	−	1.32006i	−0.00164144	−	0.0874234i
$229$			10.5591i			0.697763i	0.937167	+	0.348882i	$0.113438\pi$
$229$			10.5591i			0.697763i	−0.937167	+	0.348882i	$0.886562\pi$
$230$	14.4424	−	3.50809i	0.952306	−	0.231317i
$231$		−	1.60067i		−	0.105316i
$232$	15.9384	−	19.4760i	1.04641	−	1.27866i
$233$	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	$0.767366\pi$
$234$	−10.9307	+	7.17059i	−0.714562	+	0.468756i
$235$	3.24913	+	3.74970i	0.211950	+	0.244603i
$236$	16.7545	−	8.03502i	1.09063	−	0.523035i
$237$	3.29570	−	5.12822i	0.214079	−	0.333113i
$238$	−17.5730	+	8.22553i	−1.13909	+	0.533182i
$239$	3.93558	+	3.41020i	0.254572	+	0.220588i	0.772792	−	0.634660i	$-0.218860\pi$
$239$	3.93558	+	3.41020i	0.254572	+	0.220588i	−0.518220	+	0.855247i	$0.673405\pi$
$240$	−2.05691	+	2.56214i	−0.132773	+	0.165385i
$241$	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	$0.292635\pi$
$242$	11.5995	+	7.30159i	0.745642	+	0.469364i
$243$	−5.13401	−	7.98867i	−0.329347	−	0.512473i
$244$	3.76105	−	6.10118i	0.240777	−	0.390588i
$245$	13.8308	+	6.31632i	0.883618	+	0.403535i
$246$	−0.188365	−	0.619927i	−0.0120097	−	0.0395251i
$247$	−5.46257	+	1.60396i	−0.347575	+	0.102057i
$248$	−27.8076	+	4.80085i	−1.76578	+	0.304854i
$249$	−0.568949	+	1.93766i	−0.0360557	+	0.122794i
$250$	−4.39309	+	15.4982i	−0.277844	+	0.980193i
$251$	−0.300202	+	2.08795i	−0.0189486	+	0.131790i	−0.997100	−	0.0761039i	$-0.975752\pi$
$251$	−0.300202	+	2.08795i	−0.0189486	+	0.131790i	0.978151	+	0.207894i	$0.0666610\pi$
$252$	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
$256$	14.0711	+	7.61605i	0.879444	+	0.476003i
$257$	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	$0.396624\pi$
$258$	0.0137623	+	1.46609i	0.000856803	+	0.0912747i
$259$	−6.50350	−	22.1489i	−0.404108	−	1.37627i
$260$	12.9957	+	5.64256i	0.805961	+	0.349937i
$261$	10.5693	−	23.1436i	0.654224	−	1.43255i
$262$	−17.3103	+	2.65492i	−1.06943	+	0.164022i
$263$	−8.46337	+	5.43908i	−0.521874	+	0.335388i	−0.774913	−	0.632068i	$-0.782206\pi$
$263$	−8.46337	+	5.43908i	−0.521874	+	0.335388i	0.253039	+	0.967456i	$0.418570\pi$
$264$	−1.11681	−	0.472495i	−0.0687351	−	0.0290801i
$265$	−0.231833	−	1.61243i	−0.0142414	−	0.0990510i
$266$	−1.23687	+	9.21594i	−0.0758375	+	0.565066i
$267$	−1.50944	+	1.74198i	−0.0923760	+	0.106608i
$268$	−19.6983	−	5.38440i	−1.20326	−	0.328905i
$269$	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	$0.469344\pi$
$270$	−2.76935	+	6.21783i	−0.168537	+	0.378405i
$271$	4.88932	−	4.23662i	0.297005	−	0.257356i	−0.493591	−	0.869694i	$-0.664316\pi$
$271$	4.88932	−	4.23662i	0.297005	−	0.257356i	0.790596	+	0.612338i	$0.209771\pi$
$272$	0.551792	+	14.6891i	0.0334573	+	0.890655i
$273$	−4.11518	+	1.87934i	−0.249062	+	0.113743i
$274$	10.1098	−	8.92775i	0.610758	−	0.539345i
$275$	−0.226499			−0.0136584
$276$	2.24975	+	2.80452i	0.135419	+	0.168812i
$277$	20.6386			1.24005			0.620026	−	0.784582i	$-0.287122\pi$
$277$	20.6386			1.24005			0.620026	+	0.784582i	$0.287122\pi$
$278$	−15.7114	+	13.8744i	−0.942309	+	0.832130i
$279$	−25.9508	+	11.8513i	−1.55363	+	0.709520i
$280$	17.0545	−	15.6399i	1.01920	−	0.934664i
$281$	−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	$0.445304\pi$
$282$	−0.488334	+	1.09642i	−0.0290799	+	0.0652910i
$283$	1.50653	+	0.968186i	0.0895537	+	0.0575527i	0.584651	−	0.811285i	$-0.301231\pi$
$283$	1.50653	+	0.968186i	0.0895537	+	0.0575527i	−0.495098	+	0.868837i	$0.664868\pi$
$284$	4.82975	−	17.6691i	0.286593	−	1.04847i
$285$	−0.947328	+	1.09327i	−0.0561149	+	0.0647600i
$286$	−0.695551	+	5.18255i	−0.0411288	+	0.306451i
$287$	0.649399	+	4.51667i	0.0383328	+	0.266610i
$288$	15.7172	+	3.82404i	0.926146	+	0.225334i
$289$	2.94056	−	1.88978i	0.172974	−	0.111164i
$290$	−27.2553	+	4.18022i	−1.60049	+	0.245471i
$291$	−1.24464	+	2.72537i	−0.0729619	+	0.159764i
$292$	−3.53833	+	8.14934i	−0.207065	+	0.476904i
$293$	−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	$-0.228948\pi$
$294$	0.0345262	+	3.67805i	0.00201361	+	0.214508i
$295$	−19.5346	−	5.73588i	−1.13735	−	0.333956i
$296$	−17.3734	−	2.00045i	−1.00981	−	0.116274i
$297$	−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
$302$	−0.486753	+	1.71720i	−0.0280095	+	0.0988135i
$303$	1.68386	−	5.73471i	0.0967355	−	0.329451i
$304$	6.06502	+	3.58341i	0.347853	+	0.205523i
$305$	−7.53487	+	2.21244i	−0.431446	+	0.126684i
$306$	4.32045	+	14.2190i	0.246984	+	0.812844i
$307$	−0.0421634	−	0.0192554i	−0.00240639	−	0.00109896i	0.414211	−	0.910181i	$-0.364057\pi$
$307$	−0.0421634	−	0.0192554i	−0.00240639	−	0.00109896i	−0.416618	+	0.909082i	$0.636785\pi$
$308$	7.27010	+	4.48163i	0.414252	+	0.255365i
$309$	−3.64301	−	5.66863i	−0.207244	−	0.322477i
$310$	26.1662	+	16.4710i	1.48614	+	0.935490i
$311$	7.22360	−	1.03860i	0.409613	−	0.0588934i	0.0655712	−	0.997848i	$-0.479113\pi$
$311$	7.22360	−	1.03860i	0.409613	−	0.0588934i	0.344041	+	0.938954i	$0.388204\pi$
$312$	0.0965028	+	3.42599i	0.00546340	+	0.193959i
$313$	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	$0.509386\pi$
$314$	6.56421	−	3.07256i	0.370440	−	0.173395i
$315$	12.6479	−	19.6805i	0.712627	−	1.10887i
$316$	14.0645	+	29.3271i	0.791188	+	1.64978i
$317$	−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	$0.837598\pi$
$318$	0.329503	−	0.216156i	0.0184776	−	0.0121214i
$319$	−4.22765	−	9.25726i	−0.236703	−	0.518307i
$320$	−5.87799	−	16.5159i	−0.328590	−	0.923268i
$321$		−	3.21892i		−	0.179663i
$322$	−12.6670	−	21.9254i	−0.705906	−	1.22185i
$323$			6.47190i			0.360106i
$324$	15.5076	−	0.291168i	0.861534	−	0.0161760i
$325$	0.265932	+	0.582309i	0.0147512	+	0.0323007i
$326$	−7.58333	−	11.5599i	−0.420002	−	0.640241i
$327$	−2.52855	−	2.91811i	−0.139829	−	0.161372i
$328$	3.34305	+	0.880163i	0.184589	+	0.0485989i
$329$	4.57012	−	7.11124i	0.251959	−	0.392055i
$330$	0.563268	+	1.20336i	0.0310069	+	0.0662430i
$331$	15.8808	+	13.7608i	0.872886	+	0.756360i	0.971067	−	0.238808i	$-0.0767567\pi$
$331$	15.8808	+	13.7608i	0.872886	+	0.756360i	−0.0981803	+	0.995169i	$0.531302\pi$
$332$	−7.20774	−	8.00930i	−0.395576	−	0.439567i
$333$	−17.5003	+	2.51617i	−0.959013	+	0.137885i
$334$	2.77690	−	4.41145i	0.151945	−	0.241384i
$335$	12.0966	+	18.8227i	0.660909	+	1.02839i
$336$	5.17567	+	2.13264i	0.282356	+	0.116345i
$337$	−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	$0.853109\pi$
$338$	−3.45011	+	1.04832i	−0.187661	+	0.0570211i
$339$	3.70519	−	1.08794i	0.201238	−	0.0590889i
$340$	10.3166	−	12.3677i	0.559499	−	0.670735i
$341$	−3.21495	+	10.9491i	−0.174099	+	0.592928i
$342$	6.85194	+	1.94224i	0.370511	+	0.105024i
$343$	−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	0.504483	−	0.863422i	$-0.331683\pi$
$347$	13.8830	+	1.99607i	0.745277	+	0.107155i	0.240794	+	0.970576i	$0.422592\pi$
$348$	−3.71103	−	5.54285i	−0.198932	−	0.297128i
$349$	−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	$0.638587\pi$
$350$	1.04551	−	0.00981432i	0.0558851	−	0.000524597i
$351$	2.00037	+	6.81264i	0.106772	+	0.363632i
$352$	5.27295	−	3.74956i	0.281049	−	0.199852i
$353$	−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	$0.145843\pi$
$354$	−0.746649	−	4.86821i	−0.0396839	−	0.258742i
$355$	−16.8838	+	10.8505i	−0.896097	+	0.575887i
$356$	−3.68575	−	11.7330i	−0.195344	−	0.621849i
$357$	0.731897	+	5.09045i	0.0387361	+	0.269415i
$358$	2.50111	+	0.335674i	0.132188	+	0.0177409i
$359$	−10.1453	+	11.7083i	−0.535451	+	0.617943i	−0.957431	−	0.288662i	$-0.906790\pi$
$359$	−10.1453	+	11.7083i	−0.535451	+	0.617943i	0.421980	+	0.906605i	$0.361335\pi$
$360$	−9.99793	−	14.6341i	−0.526937	−	0.771282i
$361$	−13.3746	−	8.59533i	−0.703926	−	0.452386i
$362$	−27.3043	−	12.1610i	−1.43508	−	0.639169i
$363$	2.74556	−	2.37904i	0.144105	−	0.124867i
$364$	2.98609	−	23.9527i	0.156513	−	1.25546i
$365$	8.85464	−	4.04378i	0.463473	−	0.211661i
$366$	−1.25747	−	1.42397i	−0.0657291	−	0.0744321i
$367$	0.817746			0.0426860			0.0213430	−	0.999772i	$-0.493206\pi$
$367$	0.817746			0.0426860			0.0213430	+	0.999772i	$0.493206\pi$
$368$	−19.0369	+	2.36593i	−0.992365	+	0.123333i
$369$	3.49495			0.181940
$370$	12.6834	+	14.3627i	0.659377	+	0.746683i
$371$	−2.52459	+	1.15294i	−0.131070	+	0.0598577i
$372$	−0.925283	+	7.42210i	−0.0479737	+	0.384818i
$373$	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	$0.206723\pi$
$374$	5.43001	+	2.41846i	0.280779	+	0.125056i
$375$	3.59191	+	2.30838i	0.185485	+	0.119204i
$376$	−3.61260	−	5.28780i	−0.186306	−	0.272697i
$377$	−18.8360	+	21.7379i	−0.970102	+	1.11956i
$378$	11.4936	+	1.54256i	0.591170	+	0.0793409i
$379$	2.85196	+	19.8358i	0.146495	+	1.01890i	0.921899	+	0.387431i	$0.126638\pi$
$379$	2.85196	+	19.8358i	0.146495	+	1.01890i	−0.775403	+	0.631467i	$0.782453\pi$
$380$	−2.31319	−	7.36369i	−0.118664	−	0.377750i
$381$	0.729217	−	0.468639i	0.0373589	−	0.0240091i
$382$	−4.51545	−	29.4411i	−0.231031	−	1.50634i
$383$	0.939261	−	2.05669i	0.0479940	−	0.105092i	−0.884116	−	0.467267i	$-0.845239\pi$
$383$	0.939261	−	2.05669i	0.0479940	−	0.105092i	0.932110	+	0.362175i	$0.117966\pi$
$384$	3.01577	−	2.98163i	0.153898	−	0.152156i
$385$	−2.63632	−	8.97848i	−0.134359	−	0.457586i
$386$	1.30913	−	0.0122889i	0.0666331	−	0.000625490i
$387$	−7.58832	−	2.22813i	−0.385736	−	0.113262i
$388$	−8.89363	−	13.2837i	−0.451506	−	0.674377i
$389$	−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
$394$	−11.5986	−	3.28772i	−0.584329	−	0.165633i
$395$	10.0401	−	34.1933i	0.505170	−	1.72045i
$396$	4.19005	−	5.02308i	0.210558	−	0.252419i
$397$	−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	$0.436034\pi$
$398$	−16.0794	+	4.88575i	−0.805989	+	0.244901i
$399$	2.24190	+	1.02384i	0.112236	+	0.0512562i
$400$	0.301774	−	0.732371i	0.0150887	−	0.0366185i
$401$	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	$0.690380\pi$
$402$	−2.88343	+	4.58068i	−0.143813	+	0.228464i
$403$	31.9239	−	4.58997i	1.59024	−	0.228643i
$404$	21.3320	+	23.7043i	1.06131	+	1.17933i
$405$	−12.8434	−	11.1289i	−0.638193	−	0.552997i
$406$	19.9159	+	42.5482i	0.988408	+	2.11163i
$407$	−3.82341	+	5.94934i	−0.189519	+	0.294898i
$408$	3.76775	+	0.991977i	0.186531	+	0.0491102i
$409$	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	$0.602358\pi$
$410$	−2.07761	−	3.16706i	−0.102606	−	0.156410i
$411$	−1.48508	−	3.25187i	−0.0732536	−	0.160403i
$412$	35.9464	−	0.674922i	1.77095	−	0.0332510i
$413$			34.6867i			1.70682i
$414$	−18.0027	+	7.21320i	−0.884785	+	0.354509i
$415$			11.8058i			0.579526i
$416$	−15.8308	−	9.15396i	−0.776168	−	0.448810i
$417$	2.30792	+	5.05364i	0.113019	+	0.247478i
$418$	2.38192	−	1.56255i	0.116504	−	0.0764271i
$419$	−6.55475	−	7.56458i	−0.320220	−	0.369554i	0.572703	−	0.819763i	$-0.305895\pi$
$419$	−6.55475	−	7.56458i	−0.320220	−	0.369554i	−0.892923	+	0.450209i	$0.851349\pi$
$420$	−2.65218	−	5.53030i	−0.129413	−	0.269851i
$421$	−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	$0.332853\pi$
$422$	−26.4412	+	12.3766i	−1.28714	+	0.602481i
$423$	−4.89300	−	4.23981i	−0.237906	−	0.206147i
$424$	0.0592027	+	2.10178i	0.00287514	+	0.102072i
$425$	0.720313	−	0.103565i	0.0349403	−	0.00502366i
$426$	−4.10882	−	2.58641i	−0.199073	−	0.125312i
$427$	7.23340	+	11.2554i	0.350049	+	0.544687i
$428$	14.6201	+	9.01250i	0.706688	+	0.435636i
$429$	1.26073	+	0.575754i	0.0608684	+	0.0277977i
$430$	2.49186	+	8.20094i	0.120168	+	0.395484i
$431$	−2.71944	+	0.798501i	−0.130991	+	0.0384624i	−0.346571	−	0.938024i	$-0.612654\pi$
$431$	−2.71944	+	0.798501i	−0.130991	+	0.0384624i	0.215580	+	0.976486i	$0.430836\pi$
$432$	4.46905	−	7.56398i	0.215017	−	0.363922i
$433$	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	$-0.0557600\pi$
$434$	14.3657	−	50.6802i	0.689577	−	2.43273i
$435$	−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	0.0698394	−	0.997558i	$-0.477751\pi$
$439$	−3.02122	−	0.434385i	−0.144195	−	0.0207321i	−0.214034	+	0.976826i	$0.568660\pi$
$440$	−7.04265	−	0.810920i	−0.335745	−	0.0386591i
$441$	−19.0372	−	5.58982i	−0.906533	−	0.266182i
$442$	−0.157699	−	16.7996i	−0.00750100	−	0.799077i
$443$	4.88374	+	16.6325i	0.232034	+	0.790234i	0.990379	+	0.138381i	$0.0441899\pi$
$443$	4.88374	+	16.6325i	0.232034	+	0.790234i	−0.758345	+	0.651853i	$0.773992\pi$
$444$	−1.84609	+	4.25185i	−0.0876117	+	0.201784i
$445$	−5.59768	+	12.2572i	−0.265355	+	0.581047i
$446$	19.5394	−	2.99681i	0.925218	−	0.141903i
$447$	−3.70992	+	2.38422i	−0.175473	+	0.112770i
$448$	−24.1774	+	17.5364i	−1.14227	+	0.828517i
$449$	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	$0.952543\pi$
$450$	0.106521	−	0.793692i	0.00502147	−	0.0374150i
$451$	0.915465	−	1.05650i	0.0431076	−	0.0497488i
$452$	−5.43264	+	19.8748i	−0.255530	+	0.934830i
$453$	0.397982	+	0.255768i	0.0186988	+	0.0120170i
$454$	16.2611	−	36.5099i	0.763170	−	1.71349i
$455$	−19.9876	+	17.3194i	−0.937034	+	0.811945i
$456$	1.37613	−	1.26199i	0.0644433	−	0.0590982i
$457$	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	$0.125010\pi$
$458$	−11.1932	+	9.88440i	−0.523022	+	0.461868i
$459$	8.07142			0.376742
$460$	17.2384	+	12.0258i	0.803744	+	0.560705i
$461$	−8.90884			−0.414926			−0.207463	−	0.978243i	$-0.566521\pi$
$461$	−8.90884			−0.414926			−0.207463	+	0.978243i	$0.566521\pi$
$462$	1.69679	−	1.49839i	0.0789417	−	0.0697115i
$463$	−10.0885	+	4.60724i	−0.468850	+	0.214117i	−0.635808	−	0.771847i	$-0.719333\pi$
$463$	−10.0885	+	4.60724i	−0.468850	+	0.214117i	0.166958	+	0.985964i	$0.446606\pi$
$464$	35.5655	−	1.33601i	1.65109	−	0.0620229i
$465$	6.19346	−	5.36666i	0.287215	−	0.248873i
$466$	−5.23199	+	11.7470i	−0.242367	+	0.544171i
$467$	29.0694	+	18.6818i	1.34517	+	0.864489i	0.997327	−	0.0730634i	$-0.0232775\pi$
$467$	29.0694	+	18.6818i	1.34517	+	0.864489i	0.347844	+	0.937552i	$0.386914\pi$
$468$	−17.8335	−	4.87467i	−0.824352	−	0.225331i
$469$	24.9634	−	28.8093i	1.15270	−	1.33029i
$470$	−0.933345	+	6.95436i	−0.0430520	+	0.320781i
$471$	−0.273393	−	1.90149i	−0.0125973	−	0.0876159i
$472$	24.2015	+	10.2390i	1.11397	+	0.471290i
$473$	−2.66123	+	1.71027i	−0.122364	+	0.0786383i
$474$	8.52129	−	1.30693i	0.391396	−	0.0600293i
$475$	0.144877	−	0.317235i	0.00664739	−	0.0145558i
$476$	−25.1696	−	10.9283i	−1.15365	−	0.500898i
$477$	0.598882	+	2.03960i	0.0274209	+	0.0933870i
$478$	0.0691285	+	7.36422i	0.00316186	+	0.336832i
$479$	27.9632	+	8.21073i	1.27767	+	0.375158i	0.849043	−	0.528323i	$-0.177179\pi$
$479$	27.9632	+	8.21073i	1.27767	+	0.375158i	0.428627	+	0.903481i	$0.358997\pi$
$480$	−4.64148	+	0.218003i	−0.211853	+	0.00995044i
$481$	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
$486$	3.66243	−	12.9205i	0.166131	−	0.586088i
$487$	5.43992	−	18.5267i	0.246506	−	0.839523i	−0.739549	−	0.673103i	$-0.764961\pi$
$487$	5.43992	−	18.5267i	0.246506	−	0.839523i	0.986055	−	0.166420i	$-0.0532207\pi$
$488$	9.98830	−	1.72443i	0.452149	−	0.0780614i
$489$	−3.51600	+	1.03239i	−0.158999	+	0.0466863i
$490$	6.25146	+	20.5741i	0.282412	+	0.929443i
$491$	−9.74561	−	4.45067i	−0.439813	−	0.200856i	0.183186	−	0.983078i	$-0.441359\pi$
$491$	−9.74561	−	4.45067i	−0.439813	−	0.200856i	−0.622999	+	0.782222i	$0.714086\pi$
$492$	0.480824	−	0.779993i	0.0216772	−	0.0351648i
$493$	17.6776	+	27.5070i	0.796161	+	1.23885i
$494$	−6.81381	−	4.28913i	−0.306568	−	0.192977i
$495$	−7.09410	+	1.01998i	−0.318856	+	0.0458446i
$496$	−31.1199	−	24.9833i	−1.39733	−	1.12179i
$497$	25.8416	+	22.3919i	1.15916	+	1.00441i
$498$	−2.58662	+	1.21074i	−0.115909	+	0.0542546i
$499$	4.94897	−	7.70075i	0.221546	−	0.344733i	−0.712633	−	0.701537i	$-0.752497\pi$
$499$	4.94897	−	7.70075i	0.221546	−	0.344733i	0.934179	+	0.356804i	$0.116134\pi$
$500$	−20.5413	+	9.85104i	−0.918634	+	0.440552i
$501$	−0.904784	−	1.04418i	−0.0404228	−	0.0466504i
$502$	−2.49436	+	1.63631i	−0.111329	+	0.0730322i
$503$	−10.3583	−	22.6815i	−0.461853	−	1.01132i	−0.987061	−	0.160344i	$-0.948740\pi$
$503$	−10.3583	−	22.6815i	−0.461853	−	1.01132i	0.525208	−	0.850974i	$-0.323987\pi$
$504$	−19.1235	+	23.3680i	−0.851829	+	1.04089i
$505$		−	34.9406i		−	1.55484i
$506$	−2.53512	+	7.33155i	−0.112700	+	0.325927i
$507$			0.955750i			0.0424463i
$508$	0.0868225	+	4.62417i	0.00385212	+	0.205164i
$509$	−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	$-0.424003\pi$
$510$	−2.34154	−	3.56940i	−0.103685	−	0.158055i
$511$	−10.8606	−	12.5338i	−0.480445	−	0.554463i
$512$	5.09862	+	22.0455i	0.225329	+	0.974283i
$513$	2.09127	−	3.25408i	0.0923319	−	0.143671i
$514$	11.0177	+	23.5382i	0.485971	+	1.03823i
$515$	−29.7707	−	25.7965i	−1.31185	−	1.13673i
$516$	−1.54125	+	1.38700i	−0.0678496	+	0.0610593i
$517$	−2.56334	+	0.368553i	−0.112736	+	0.0162090i
$518$	17.3910	−	27.6277i	0.764117	−	1.21389i
$519$	1.03164	+	1.60526i	0.0452838	+	0.0704629i
$520$	6.18396	+	19.0582i	0.271185	+	0.835756i
$521$	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	$0.632320\pi$
$522$	34.4273	−	10.4608i	1.50684	−	0.457856i
$523$	−16.1023	+	4.72806i	−0.704104	+	0.206744i	−0.614135	−	0.789201i	$-0.710495\pi$
$523$	−16.1023	+	4.72806i	−0.704104	+	0.206744i	−0.0899692	+	0.995945i	$0.528677\pi$
$524$	−19.0186	−	15.8645i	−0.830831	−	0.693044i
$525$	0.0780766	−	0.265904i	0.00340754	−	0.0116050i
$526$	−13.6883	−	3.88006i	−0.596838	−	0.169179i
$527$	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
$532$	−10.9272	+	7.31594i	−0.473755	+	0.317186i
$533$	−3.79103	−	1.11315i	−0.164208	−	0.0482157i
$534$	−3.25958	+	0.0305979i	−0.141056	+	0.00132410i
$535$	−5.30160	−	18.0556i	−0.229208	−	0.780612i
$536$	−12.7319	−	25.9216i	−0.549935	−	1.11964i
$537$	0.277860	−	0.608429i	0.0119905	−	0.0262556i
$538$	4.35343	+	28.3847i	0.187690	+	1.22375i
$539$	−6.67637	+	4.29064i	−0.287572	+	0.184811i
$540$	−9.18362	+	2.88489i	−0.395200	+	0.124146i
$541$	−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	$-0.105300\pi$
$542$	9.06794	+	1.21701i	0.389501	+	0.0522750i
$543$	−5.18812	+	5.98741i	−0.222644	+	0.256945i
$544$	−15.0546	+	14.3354i	−0.645461	+	0.614626i
$545$	−18.9894	−	12.2037i	−0.813415	−	0.522750i
$546$	−5.84444	−	2.60304i	−0.250119	−	0.111400i
$547$	−16.9263	+	14.6667i	−0.723717	+	0.627104i	−0.936774	−	0.349936i	$-0.886203\pi$
$547$	−16.9263	+	14.6667i	−0.723717	+	0.627104i	0.213057	+	0.977040i	$0.431658\pi$
$548$	18.9277	+	2.35965i	0.808553	+	0.100799i
$549$	9.32135	−	4.25692i	0.397826	−	0.181681i
$550$	−0.212026	−	0.240100i	−0.00904084	−	0.0102379i
$551$	15.6699			0.667561
$552$	−0.866936	+	5.01017i	−0.0368993	+	0.213247i
$553$	−60.7154			−2.58188
$554$	19.3199	+	21.8779i	0.820822	+	0.929504i
$555$	4.61983	−	2.10981i	0.196101	−	0.0895563i
$556$	−29.4151	−	3.66706i	−1.24748	−	0.155518i
$557$	−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	$0.284214\pi$
$558$	−36.8557	−	16.4151i	−1.56022	−	0.694906i
$559$	7.52152	+	4.83378i	0.318126	+	0.204447i
$560$	32.5439	+	3.43803i	1.37523	+	0.145283i
$561$	1.03176	−	1.19072i	0.0435611	−	0.0502722i
$562$	−24.2474	−	3.25425i	−1.02282	−	0.137272i
$563$	−0.711102	−	4.94582i	−0.0299694	−	0.208442i	0.969335	−	0.245745i	$-0.0790324\pi$
$563$	−0.711102	−	4.94582i	−0.0299694	−	0.208442i	−0.999304	+	0.0373029i	$0.988123\pi$
$564$	−1.61940	+	0.508707i	−0.0681889	+	0.0214204i
$565$	18.9913	−	12.2050i	0.798972	−	0.513468i
$566$	0.383940	+	2.50332i	0.0161382	+	0.105222i
$567$	−12.0277	+	26.3370i	−0.505117	+	1.10605i
$568$	23.2513	−	11.4204i	0.975605	−	0.479189i
$569$	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	$0.884872\pi$
$570$	−2.04572	+	0.0192034i	−0.0856860	+	0.000804341i
$571$	−32.1866	−	9.45084i	−1.34697	−	0.395506i	−0.472817	−	0.881160i	$-0.656763\pi$
$571$	−32.1866	−	9.45084i	−1.34697	−	0.395506i	−0.874151	+	0.485655i	$0.838581\pi$
$572$	−6.14488	+	4.11409i	−0.256930	+	0.172019i
$573$	−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	$0.930477\pi$
$578$	4.75593	+	1.34811i	0.197821	+	0.0560739i
$579$	0.0977630	−	0.332950i	0.00406289	−	0.0138369i
$580$	−29.9451	−	24.9789i	−1.24340	−	1.03719i
$581$	19.2992	−	5.66674i	0.800664	−	0.235096i
$582$	−4.05415	+	1.23186i	−0.168050	+	0.0510621i
$583$	0.773432	+	0.353215i	0.0320323	+	0.0146287i
$584$	−11.9510	+	3.87783i	−0.494535	+	0.160466i
$585$	10.9514	+	17.0408i	0.452786	+	0.704550i
$586$	10.8375	−	17.2167i	0.447693	−	0.711215i
$587$	−19.9892	+	2.87401i	−0.825041	+	0.118623i	−0.541887	−	0.840451i	$-0.682290\pi$
$587$	−19.9892	+	2.87401i	−0.825041	+	0.118623i	−0.283154	+	0.959074i	$0.591381\pi$
$588$	−3.86660	+	3.47964i	−0.159456	+	0.143498i
$589$	−13.2790	−	11.5063i	−0.547151	−	0.474109i
$590$	−12.2061	−	26.0771i	−0.502518	−	1.07358i
$591$	−1.72755	+	2.68812i	−0.0710620	+	0.110575i
$592$	−14.1428	−	20.2893i	−0.581264	−	0.833887i
$593$	−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	$0.960973\pi$
$594$	−1.94874	−	2.97061i	−0.0799577	−	0.121886i
$595$	12.4894	+	27.3480i	0.512016	+	1.12116i
$596$	−0.441712	−	23.5256i	−0.0180932	−	0.963647i
$597$			4.45432i			0.182303i
$598$	21.8253	−	2.09039i	0.892502	−	0.0854823i
$599$			4.57335i			0.186862i	0.995626	+	0.0934309i	$0.0297834\pi$
$599$			4.57335i			0.186862i	−0.995626	+	0.0934309i	$0.970217\pi$
$600$	−0.162479	−	0.132967i	−0.00663318	−	0.00542835i
$601$	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	$0.735406\pi$
$602$	12.2101	−	8.00989i	0.497646	−	0.326459i
$603$	−19.1198	−	22.0654i	−0.778619	−	0.898574i
$604$	−2.27597	+	1.09149i	−0.0926078	+	0.0444122i
$605$	11.4821	−	17.8665i	0.466814	−	0.726377i
$606$	7.65536	−	3.58331i	0.310978	−	0.145562i
$607$	16.2200	+	14.0547i	0.658350	+	0.570464i	0.918654	−	0.395063i	$-0.129277\pi$
$607$	16.2200	+	14.0547i	0.658350	+	0.570464i	−0.260304	+	0.965527i	$0.583823\pi$
$608$	1.87889	+	9.78368i	0.0761992	+	0.396781i
$609$	12.3251	−	1.77209i	0.499440	−	0.0718086i
$610$	−9.39873	−	5.91628i	−0.380543	−	0.239543i
$611$	3.95714	+	6.15743i	0.160089	+	0.249103i
$612$	−11.0284	+	17.8903i	−0.445798	+	0.723174i
$613$	−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	$0.815143\pi$
$614$	−0.0190577	−	0.0627204i	−0.000769105	−	0.00253119i
$615$	−0.963281	+	0.282845i	−0.0388432	+	0.0114054i
$616$	2.05482	+	11.9020i	0.0827909	+	0.479543i
$617$	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	$0.0345302\pi$
$618$	2.59880	−	9.16821i	0.104539	−	0.368799i
$619$	5.92703	−	41.2234i	0.238227	−	1.65691i	−0.422560	−	0.906335i	$-0.638868\pi$
$619$	5.92703	−	41.2234i	0.238227	−	1.65691i	0.660788	−	0.750573i	$-0.270222\pi$
$620$	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
$624$	−3.54139	+	3.30938i	−0.141769	+	0.132481i
$625$	22.9997	+	6.75331i	0.919987	+	0.270133i
$626$	0.296994	+	31.6386i	0.0118703	+	1.26453i
$627$	−0.212726	−	0.724477i	−0.00849544	−	0.0289328i
$628$	9.40186	+	4.08216i	0.375175	+	0.162896i
$629$	9.43893	−	20.6684i	0.376355	−	0.824102i
$630$	32.7020	−	5.01559i	1.30288	−	0.199826i
$631$	11.5707	−	7.43606i	0.460624	−	0.296025i	−0.289674	−	0.957126i	$-0.593547\pi$
$631$	11.5707	−	7.43606i	0.460624	−	0.296025i	0.750297	+	0.661101i	$0.229910\pi$
$632$	−17.9224	+	42.3623i	−0.712914	+	1.68508i
$633$	1.10125	+	7.65935i	0.0437707	+	0.304432i
$634$	1.35572	−	10.1015i	0.0538426	−	0.401182i
$635$	3.31848	−	3.82973i	0.131690	−	0.151978i
$636$	0.537586	+	0.146946i	0.0213167	+	0.00582678i
$637$	18.8696	+	12.1268i	0.747641	+	0.480480i
$638$	5.85565	−	13.1473i	0.231827	−	0.520506i
$639$	19.7924	−	17.1502i	0.782977	−	0.678453i
$640$	12.0053	−	21.6916i	0.474551	−	0.857436i
$641$	−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	$0.522326\pi$
$642$	3.41222	−	3.01324i	0.134670	−	0.118923i
$643$	−2.43251			−0.0959288			−0.0479644	−	0.998849i	$-0.515273\pi$
$643$	−2.43251			−0.0959288			−0.0479644	+	0.998849i	$0.515273\pi$
$644$	11.3844	−	33.9521i	0.448607	−	1.33790i
$645$	2.27182			0.0894529
$646$	−6.86054	+	6.05837i	−0.269924	+	0.238364i
$647$	44.7251	−	20.4253i	1.75833	−	0.803001i	0.772547	−	0.634958i	$-0.218983\pi$
$647$	44.7251	−	20.4253i	1.75833	−	0.803001i	0.985780	−	0.168043i	$-0.0537446\pi$
$648$	14.8254	+	16.1663i	0.582397	+	0.635072i
$649$	8.03105	−	6.95895i	0.315246	−	0.273163i
$650$	−0.368338	+	0.827004i	−0.0144474	+	0.0324378i
$651$	−11.7458	−	7.54856i	−0.460354	−	0.295851i
$652$	5.15525	−	18.8599i	0.201895	−	0.738612i
$653$	−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	$0.240231\pi$
$654$	0.726352	−	5.41205i	0.0284026	−	0.211628i
$655$	3.86187	+	26.8599i	0.150896	+	1.04950i
$656$	2.19643	+	4.36773i	0.0857562	+	0.170531i
$657$	−10.6859	+	6.86741i	−0.416897	+	0.267923i
$658$	11.8164	−	1.81231i	0.460651	−	0.0706511i
$659$	−7.38557	+	16.1722i	−0.287701	+	0.629978i	−0.997204	−	0.0747248i	$-0.976192\pi$
$659$	−7.38557	+	16.1722i	−0.287701	+	0.629978i	0.709503	+	0.704702i	$0.248919\pi$
$660$	−0.748349	+	1.72357i	−0.0291294	+	0.0670898i
$661$	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	$0.635571\pi$
$662$	0.278946	+	29.7160i	0.0108415	+	1.15494i
$663$	−4.27263	−	1.25456i	−0.165935	−	0.0487230i
$664$	1.74306	−	15.1381i	0.0676440	−	0.587473i
$665$	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
$670$	−8.62934	+	30.4431i	−0.333380	+	1.17612i
$671$	1.15479	−	3.93285i	0.0445801	−	0.151826i
$672$	2.58426	+	7.48284i	0.0996900	+	0.288657i
$673$	−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	$0.641176\pi$
$674$	−9.50273	−	31.2743i	−0.366032	−	1.20464i
$675$	−0.395640	−	0.180683i	−0.0152282	−	0.00695448i
$676$	−4.34094	−	2.67596i	−0.166959	−	0.102921i
$677$	−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	$0.884765\pi$
$678$	4.62172	+	2.90926i	0.177496	+	0.111730i
$679$	29.5377	−	4.24688i	1.13355	−	0.162980i
$680$	22.7679	−	0.641322i	0.873109	−	0.0245936i
$681$	−8.00606	−	6.93729i	−0.306793	−	0.265837i
$682$	−14.6161	+	6.84150i	−0.559681	+	0.261975i
$683$	−15.2977	+	23.8036i	−0.585349	+	0.910821i	0.414651	+	0.909981i	$0.363904\pi$
$683$	−15.2977	+	23.8036i	−0.585349	+	0.910821i	−1.00000		0.000840079i	$0.999733\pi$
$684$	4.35526	+	9.08155i	0.166528	+	0.347242i
$685$	−13.6860	−	15.7945i	−0.522915	−	0.603476i
$686$	−0.271049	+	0.177810i	−0.0103487	+	0.00678881i
$687$	1.64421	+	3.60032i	0.0627306	+	0.137361i
$688$	−1.98439	−	10.8836i	−0.0756541	−	0.414934i
$689$		−	2.40314i		−	0.0915523i
$690$	4.37817	−	3.44506i	0.166674	−	0.131151i
$691$		−	13.6014i		−	0.517422i	−0.965955	−	0.258711i	$-0.916702\pi$
$691$		−	13.6014i		−	0.517422i	0.965955	−	0.258711i	$-0.0832977\pi$
$692$	−10.1794	+	0.191126i	−0.386962	+	0.00726552i
$693$	5.07250	+	11.1072i	0.192688	+	0.421929i
$694$	10.8800	+	16.5852i	0.412998	+	0.629565i
$695$	21.2690	+	24.5458i	0.806780	+	0.931074i
$696$	2.40180	−	9.12257i	0.0910400	−	0.345790i
$697$	−2.42829	+	3.77849i	−0.0919780	+	0.143121i
$698$	−3.34270	−	7.14132i	−0.126523	−	0.270303i
$699$	2.57595	+	2.23207i	0.0974312	+	0.0844246i
$700$	0.989114	+	1.09911i	0.0373850	+	0.0415425i
$701$	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	$0.325517\pi$
$702$	−5.34919	+	8.49784i	−0.201892	+	0.320730i
$703$	−5.88709	−	9.16050i	−0.222036	−	0.345495i
$704$	8.91076	+	2.07962i	0.335837	+	0.0783784i
$705$	1.69174	+	0.772593i	0.0637147	+	0.0290975i
$706$	−1.51397	+	0.460023i	−0.0569792	+	0.0173132i
$707$	−57.1178	+	16.7713i	−2.14814	+	0.630750i
$708$	4.46161	−	5.34864i	0.167678	−	0.201014i
$709$	−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	$0.659363\pi$
$710$	−27.3071	−	7.74041i	−1.02482	−	0.290493i
$711$	−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
$716$	1.98547	+	2.96553i	0.0742004	+	0.110827i
$717$	1.87293	+	0.549943i	0.0699460	+	0.0205380i
$718$	−21.9085	+	0.205657i	−0.817620	+	0.00767506i
$719$	4.77265	+	16.2541i	0.177990	+	0.606177i	0.999360	+	0.0357815i	$0.0113920\pi$
$719$	4.77265	+	16.2541i	0.177990	+	0.606177i	−0.821370	+	0.570396i	$0.806790\pi$
$720$	6.15374	−	24.2973i	0.229336	−	0.905508i
$721$	−27.8800	+	61.0488i	−1.03831	+	2.27357i
$722$	−3.40853	−	22.2239i	−0.126852	−	0.827088i
$723$	4.76814	−	3.06430i	0.177329	−	0.113962i
$724$	−12.6684	−	40.3279i	−0.470817	−	1.49878i
$725$	−0.250755	−	1.74404i	−0.00931281	−	0.0647721i
$726$	5.09204	+	0.683403i	0.188983	+	0.0253635i
$727$	21.5901	−	24.9163i	0.800731	−	0.924093i	−0.197690	−	0.980265i	$-0.563344\pi$
$727$	21.5901	−	24.9163i	0.800731	−	0.924093i	0.998421	+	0.0561715i	$0.0178894\pi$
$728$	28.1864	−	19.2568i	1.04466	−	0.713706i
$729$	16.5777	+	10.6538i	0.613989	+	0.394587i
$730$	12.5755	+	5.60097i	0.465440	+	0.207301i
$731$	7.68126	−	6.65585i	0.284102	−	0.246176i
$732$	0.332356	−	2.66597i	0.0122842	−	0.0985371i
$733$	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	$0.317777\pi$
$734$	0.765496	+	0.866853i	0.0282550	+	0.0319961i
$735$	5.69943			0.210227
$736$	−20.3285	−	17.9653i	−0.749319	−	0.662210i
$737$	−11.6785			−0.430183
$738$	3.27164	+	3.70482i	0.120431	+	0.136376i
$739$	−0.342533	+	0.156430i	−0.0126003	+	0.00575436i	−0.421705	−	0.906733i	$-0.638568\pi$
$739$	−0.342533	+	0.156430i	−0.0126003	+	0.00575436i	0.409105	+	0.912487i	$0.365841\pi$
$740$	−3.35227	+	26.8900i	−0.123232	+	0.988498i
$741$	−1.61281	+	1.39751i	−0.0592480	+	0.0513387i
$742$	−3.58545	−	1.59692i	−0.131626	−	0.0586247i
$743$	2.19442	+	1.41027i	0.0805055	+	0.0517377i	0.580274	−	0.814421i	$-0.302945\pi$
$743$	2.19442	+	1.41027i	0.0805055	+	0.0517377i	−0.499769	+	0.866159i	$0.666582\pi$
$744$	−8.73397	+	5.96701i	−0.320203	+	0.218761i
$745$	−16.8829	+	19.4839i	−0.618541	+	0.713834i
$746$	11.1463	+	1.49594i	0.408094	+	0.0547703i
$747$	−2.19243	−	15.2487i	−0.0802168	−	0.557920i
$748$	2.51936	+	8.02003i	0.0921171	+	0.293241i
$749$	−26.9710	+	17.3332i	−0.985498	+	0.633341i
$750$	0.915401	+	5.96849i	0.0334257	+	0.217938i
$751$	16.6578	−	36.4756i	0.607853	−	1.33101i	−0.316180	−	0.948699i	$-0.602400\pi$
$751$	16.6578	−	36.4756i	0.607853	−	1.33101i	0.924033	−	0.382313i	$-0.124872\pi$
$752$	2.22356	−	8.77947i	0.0810849	−	0.320154i
$753$	0.222767	+	0.758674i	0.00811808	+	0.0276476i
$754$	−40.6757	+	0.381826i	−1.48132	+	0.0139053i
$755$	2.65362	+	0.779172i	0.0965750	+	0.0283570i
$756$	9.12406	+	13.6279i	0.331839	+	0.495640i
$757$	−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	$-0.245716\pi$
$762$	1.17941	+	0.334312i	0.0427253	+	0.0121108i
$763$	−10.8348	+	36.8999i	−0.392245	+	1.33587i
$764$	26.9821	−	32.3466i	0.976180	−	1.17026i
$765$	22.0943	−	6.48748i	0.798822	−	0.234555i
$766$	3.05945	−	0.929617i	0.110542	−	0.0335884i
$767$	−27.3201	−	12.4767i	−0.986473	−	0.450507i
$768$	5.98375	+	0.405752i	0.215920	+	0.0146413i
$769$	−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	$-0.387515\pi$
$770$	7.04977	−	11.1994i	0.254056	−	0.403599i
$771$	6.81843	−	0.980342i	0.245560	−	0.0353062i
$772$	1.23851	+	1.37624i	0.0445750	+	0.0495321i
$773$	−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	$0.976309\pi$
$774$	−4.74152	−	10.1298i	−0.170431	−	0.364107i
$775$	−1.06814	+	1.66206i	−0.0383688	+	0.0597030i
$776$	5.75602	−	21.8626i	0.206629	−	0.784823i
$777$	−5.66642	−	6.53940i	−0.203282	−	0.234600i
$778$	−6.53020	−	9.95448i	−0.234119	−	0.356886i
$779$	0.894181	+	1.95798i	0.0320374	+	0.0701520i
$780$	5.30978	−	0.0996955i	0.190121	−	0.00356967i
$781$		−	10.4755i		−	0.374842i
$782$	4.70988	−	24.4750i	0.168425	−	0.875225i
$783$		−	19.5427i		−	0.698400i
$784$	−4.97833	−	27.3043i	−0.177798	−	0.975153i
$785$	−4.66529	−	10.2156i	−0.166511	−	0.364609i
$786$	−5.48887	+	3.60073i	−0.195781	+	0.128434i
$787$	24.5886	+	28.3768i	0.876490	+	1.01152i	0.999816	+	0.0191574i	$0.00609838\pi$
$787$	24.5886	+	28.3768i	0.876490	+	1.01152i	−0.123326	+	0.992366i	$0.539356\pi$
$788$	−7.37235	−	15.3728i	−0.262629	−	0.547632i
$789$	−2.03880	+	3.17244i	−0.0725833	+	0.112942i
$790$	45.6452	−	21.3655i	1.62398	−	0.760152i
$791$	−29.0674	−	25.1871i	−1.03352	−	0.895549i
$792$	9.24705	−	0.260469i	0.328580	−	0.00925538i
$793$	−11.4669	+	1.64869i	−0.407200	+	0.0585466i
$794$	−4.03223	−	2.53819i	−0.143098	−	0.0900770i
$795$	−0.330129	−	0.513691i	−0.0117085	−	0.0182187i
$796$	−20.2312	−	12.4714i	−0.717075	−	0.442038i
$797$	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	$0.435930\pi$
$798$	1.01333	+	3.33496i	0.0358715	+	0.118056i
$799$	7.98345	−	2.34415i	0.282434	−	0.0829302i
$800$	1.05884	−	0.365680i	0.0374357	−	0.0129287i
$801$	4.95384	−	16.8712i	0.175035	−	0.596115i
$802$	−6.03642	+	21.2956i	−0.213153	+	0.751975i
$803$	−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
$808$	−5.15878	+	44.8028i	−0.181485	+	1.57616i
$809$	−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	$0.718898\pi$
$810$	−0.225594	−	24.0324i	−0.00792657	−	0.844413i
$811$	10.2056	+	34.7572i	0.358368	+	1.22049i	0.919608	+	0.392837i	$0.128506\pi$
$811$	10.2056	+	34.7572i	0.358368	+	1.22049i	−0.561240	+	0.827653i	$0.689676\pi$
$812$	−26.4599	+	60.9414i	−0.928560	+	2.13862i
$813$	1.00740	−	2.20590i	0.0353311	−	0.0773643i
$814$	−9.88572	+	1.51620i	−0.346494	+	0.0531426i
$815$	−18.0216	+	11.5818i	−0.631270	+	0.405693i
$816$	2.47546	+	4.92260i	0.0866584	+	0.172325i
$817$	−0.693197	−	4.82129i	−0.0242519	−	0.168676i
$818$	−3.88077	+	28.9157i	−0.135688	+	1.01101i
$819$	22.6001	−	26.0820i	0.789713	−	0.911377i
$820$	1.41239	−	5.16707i	0.0493227	−	0.180442i
$821$	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	$0.627436\pi$
$822$	2.05696	−	4.61835i	0.0717447	−	0.161084i
$823$	28.9373	−	25.0743i	1.00869	−	0.874036i	0.0166394	−	0.999862i	$-0.494703\pi$
$823$	28.9373	−	25.0743i	1.00869	−	0.874036i	0.992052	+	0.125825i	$0.0401578\pi$
$824$	34.3650	+	37.4732i	1.19716	+	1.30544i
$825$	−0.0772292	+	0.0352694i	−0.00268877	+	0.00122792i
$826$	−36.7697	+	32.4704i	−1.27938	+	1.12979i
$827$	14.2948			0.497077			0.248539	−	0.968622i	$-0.420050\pi$
$827$	14.2948			0.497077			0.248539	+	0.968622i	$0.420050\pi$
$828$	−24.4988	−	12.3315i	−0.851392	−	0.428549i
$829$	17.8480			0.619887			0.309944	−	0.950755i	$-0.399690\pi$
$829$	17.8480			0.619887			0.309944	+	0.950755i	$0.399690\pi$
$830$	−12.5148	+	11.0515i	−0.434395	+	0.383603i
$831$	7.03712	−	3.21375i	0.244115	−	0.111484i
$832$	−5.11559	−	25.3505i	−0.177351	−	0.878871i
$833$	19.2704	−	16.6979i	0.667679	−	0.578547i
$834$	−3.19666	+	7.17725i	−0.110691	+	0.248528i
$835$	−6.79490	−	4.36682i	−0.235147	−	0.151120i
$836$	3.88612	+	1.06225i	0.134404	+	0.0367385i
$837$	−14.3501	+	16.5609i	−0.496012	+	0.572428i
$838$	1.88291	−	14.0296i	0.0650442	−	0.484645i
$839$	2.11741	+	14.7269i	0.0731011	+	0.508430i	0.993170	+	0.116674i	$0.0372232\pi$
$839$	2.11741	+	14.7269i	0.0731011	+	0.508430i	−0.920069	+	0.391756i	$0.871868\pi$
$840$	3.37968	−	7.98838i	0.116610	−	0.275625i
$841$	42.2042	−	27.1230i	1.45532	−	0.935276i
$842$	−26.2085	+	4.01967i	−0.903206	+	0.138527i
$843$	−2.69376	+	5.89852i	−0.0927781	+	0.203156i
$844$	−37.8715	−	16.4433i	−1.30359	−	0.566001i
$845$	1.57413	+	5.36100i	0.0541518	+	0.184424i
$846$	−0.0859457	−	9.15574i	−0.00295487	−	0.314781i
$847$	−34.7180	−	10.1941i	−1.19292	−	0.350274i
$848$	−2.17258	+	2.03025i	−0.0746066	+	0.0697189i
$849$	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	$-0.0482552\pi$
$854$	−5.16007	+	18.2040i	−0.176574	+	0.622928i
$855$	3.10905	−	10.5884i	0.106327	−	0.362117i
$856$	4.13221	+	23.9347i	0.141236	+	0.818070i
$857$	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	$0.232527\pi$
$858$	0.569842	+	1.87540i	0.0194541	+	0.0640251i
$859$	−25.1115	−	11.4680i	−0.856792	−	0.391284i	−0.0619346	−	0.998080i	$-0.519727\pi$
$859$	−25.1115	−	11.4680i	−0.856792	−	0.391284i	−0.794857	+	0.606797i	$0.792454\pi$
$860$	−6.36077	+	10.3184i	−0.216900	+	0.351856i
$861$	0.924741	+	1.43892i	0.0315151	+	0.0490384i
$862$	−3.39214	−	2.13527i	−0.115537	−	0.0727276i
$863$	−43.5095	+	6.25573i	−1.48108	+	0.212947i	−0.834970	−	0.550296i	$-0.814515\pi$
$863$	−43.5095	+	6.25573i	−1.48108	+	0.212947i	−0.646112	+	0.763243i	$0.723606\pi$
$864$	12.2017	−	2.34326i	0.415110	−	0.0797193i
$865$	8.43054	+	7.30511i	0.286647	+	0.248381i
$866$	23.7017	−	11.0943i	0.805418	−	0.376999i
$867$	0.708372	−	1.10225i	0.0240576	−	0.0374343i
$868$	67.1714	−	32.2136i	2.27995	−	1.09340i
$869$	12.1809	+	14.0575i	0.413209	+	0.476869i
$870$	−8.64231	+	5.66941i	−0.293002	+	0.192211i
$871$	13.7117	+	30.0245i	0.464603	+	1.01734i
$872$	22.5474	+	18.4520i	0.763552	+	0.624863i
$873$		−	22.8560i		−	0.773557i
$874$	−8.64706	−	8.24021i	−0.292491	−	0.278729i
$875$		−	42.5263i		−	1.43765i
$876$	0.0625169	+	3.32965i	0.00211225	+	0.112498i
$877$	−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	$-0.454625\pi$
$878$	−2.36770	−	3.60927i	−0.0799061	−	0.121807i
$879$	−3.53113	−	4.07514i	−0.119102	−	0.137451i
$880$	−5.73304	−	8.22468i	−0.193261	−	0.277254i
$881$	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	$0.105415\pi$
$882$	−11.8953	−	25.4131i	−0.400536	−	0.855702i
$883$	17.3903	+	15.0687i	0.585229	+	0.507104i	0.896397	−	0.443251i	$-0.146175\pi$
$883$	17.3903	+	15.0687i	0.585229	+	0.507104i	−0.311169	+	0.950355i	$0.600720\pi$
$884$	17.6608	−	15.8934i	0.593998	−	0.534552i
$885$	−7.55388	+	1.08608i	−0.253921	+	0.0365083i
$886$	−13.0596	+	20.7468i	−0.438746	+	0.697002i
$887$	−10.8614	−	16.9006i	−0.364689	−	0.567468i	0.609616	−	0.792697i	$-0.291323\pi$
$887$	−10.8614	−	16.9006i	−0.364689	−	0.567468i	−0.974306	+	0.225229i	$0.927687\pi$
$888$	−6.23531	+	2.02322i	−0.209243	+	0.0678949i
$889$	−7.85336	−	3.58651i	−0.263393	−	0.120288i
$890$	−18.2333	+	5.54020i	−0.611181	+	0.185708i
$891$	8.51088	−	2.49902i	0.285125	−	0.0837204i
$892$	21.4677	+	17.9075i	0.718792	+	0.599586i
$893$	1.12341	−	3.82598i	0.0375934	−	0.128031i
$894$	−6.00027	−	1.70082i	−0.200679	−	0.0568841i
$895$	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
$900$	0.941069	−	0.630060i	0.0313690	−	0.0210020i
$901$	−2.62118	−	0.769648i	−0.0873242	−	0.0256407i
$902$	1.97692	−	0.0185575i	0.0658242	−	0.000617897i
$903$	−1.09046	−	3.71378i	−0.0362884	−	0.123587i
$904$	−26.1538	+	12.8460i	−0.869862	+	0.427251i
$905$	−19.2399	+	42.1296i	−0.639557	+	1.40043i
$906$	0.101426	+	0.661306i	0.00336966	+	0.0219704i
$907$	3.20468	−	2.05952i	0.106410	−	0.0683853i	−0.486354	−	0.873762i	$-0.661673\pi$
$907$	3.20468	−	2.05952i	0.106410	−	0.0683853i	0.592763	+	0.805377i	$0.298037\pi$
$908$	53.9244	−	16.9395i	1.78954	−	0.562157i
$909$	6.48872	+	45.1301i	0.215217	+	1.49687i
$910$	−37.0699	−	4.97516i	−1.22886	−	0.164925i
$911$	13.7808	−	15.9039i	0.456580	−	0.526921i	−0.480050	−	0.877241i	$-0.659382\pi$
$911$	13.7808	−	15.9039i	0.456580	−	0.526921i	0.936630	+	0.350320i	$0.113927\pi$
$912$	2.62598	+	0.277416i	0.0869549	+	0.00918616i
$913$	−5.18388	−	3.33148i	−0.171561	−	0.110256i
$914$	37.6363	+	16.7628i	1.24490	+	0.554463i
$915$	−2.22465	+	1.92767i	−0.0735447	+	0.0637268i
$916$	−20.9559	−	2.61249i	−0.692404	−	0.0863191i
$917$	42.0546	−	19.2057i	1.38877	−	0.634228i
$918$	7.55569	+	8.55612i	0.249375	+	0.282394i
$919$	−5.41672			−0.178681			−0.0893406	−	0.996001i	$-0.528476\pi$
$919$	−5.41672			−0.178681			−0.0893406	+	0.996001i	$0.528476\pi$
$920$	3.38899	+	29.5310i	0.111732	+	0.973607i
$921$	−0.0173748			−0.000572519
$922$	−8.33961	−	9.44383i	−0.274650	−	0.311016i
$923$	−26.9316	+	12.2992i	−0.886464	+	0.404834i
$924$	3.17674	+	0.396032i	0.104507	+	0.0130285i
$925$	−0.925343	+	0.801814i	−0.0304251	+	0.0263635i
$926$	−14.3278	−	6.38142i	−0.470840	−	0.209706i
$927$	43.2432	+	27.7907i	1.42029	+	0.912766i
$928$	34.7093	+	36.4506i	1.13939	+	1.19655i
$929$	−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	$0.283881\pi$
$930$	11.4867	+	1.54163i	0.376663	+	0.0505519i
$931$	−1.73906	−	12.0954i	−0.0569953	−	0.396411i
$932$	−17.3502	+	5.45027i	−0.568323	+	0.178530i
$933$	2.30130	−	1.47896i	0.0753412	−	0.0484188i
$934$	7.40837	+	48.3031i	0.242409	+	1.58053i
$935$	3.82625	−	8.37832i	0.125132	−	0.274000i
$936$	−11.5266	−	23.4676i	−0.376758	−	0.767062i
$937$	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	$0.709136\pi$
$938$	53.9077	−	0.506036i	1.76015	−	0.0165227i
$939$	8.04662	+	2.36270i	0.262591	+	0.0771038i
$940$	−8.24568	+	5.52061i	−0.268945	+	0.180063i
$941$	−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
$946$	−4.30417	−	1.22005i	−0.139941	−	0.0396673i
$947$	14.4334	−	49.1557i	0.469023	−	1.59735i	−0.297229	−	0.954806i	$-0.596062\pi$
$947$	14.4334	−	49.1557i	0.469023	−	1.59735i	0.766252	−	0.642540i	$-0.222119\pi$
$948$	9.36223	+	7.80958i	0.304071	+	0.253643i
$949$	13.7785	−	4.04572i	0.447268	−	0.131330i
$950$	0.471905	−	0.143389i	0.0153106	−	0.00465215i
$951$	−2.45733	−	1.12222i	−0.0796842	−	0.0363906i
$952$	−11.9769	−	36.9111i	−0.388172	−	1.19630i
$953$	−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	$0.933996\pi$
$954$	−1.60147	+	2.54413i	−0.0518494	+	0.0823692i
$955$	−45.6830	+	6.56823i	−1.47827	+	0.212543i
$956$	−7.74174	+	6.96696i	−0.250386	+	0.225328i
$957$	−2.88300	−	2.49813i	−0.0931941	−	0.0807532i
$958$	17.4727	+	37.3285i	0.564516	+	1.20603i
$959$	−19.2502	+	29.9540i	−0.621623	+	0.967264i
$960$	−4.57600	−	4.71613i	−0.147690	−	0.152212i
$961$	44.8832	+	51.7980i	1.44785	+	1.67090i
$962$	15.5048	+	23.6352i	0.499895	+	0.762029i
$963$	10.2007	+	22.3365i	0.328714	+	0.719783i
$964$	0.567707	+	30.2361i	0.0182846	+	0.973839i
$965$		−	2.02860i		−	0.0653031i
$966$	−7.73319	−	5.50343i	−0.248811	−	0.177070i
$967$		−	57.4779i		−	1.84836i	−0.381952	−	0.924182i	$-0.624748\pi$
$967$		−	57.4779i		−	1.84836i	0.381952	−	0.924182i	$-0.375252\pi$
$968$	−17.3609	+	21.2142i	−0.558001	+	0.681850i
$969$	1.00778	+	2.20672i	0.0323744	+	0.0708901i
$970$	−20.7117	+	13.5870i	−0.665012	+	0.436251i
$971$	14.7913	+	17.0701i	0.474675	+	0.547804i	0.941706	−	0.336437i	$-0.109222\pi$
$971$	14.7913	+	17.0701i	0.474675	+	0.547804i	−0.467031	+	0.884241i	$0.654676\pi$
$972$	17.1249	−	8.21261i	0.549280	−	0.263420i
$973$	29.9163	−	46.5506i	0.959072	−	1.49234i
$974$	24.7315	−	11.5763i	0.792449	−	0.370928i
$975$	0.181349	+	0.157140i	0.00580783	+	0.00503251i
$976$	11.1781	+	8.97386i	0.357802	+	0.287246i
$977$	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	$0.393570\pi$
$978$	−4.38573	−	2.76072i	−0.140240	−	0.0882779i
$979$	−3.80247	−	5.91676i	−0.121528	−	0.189101i
$980$	−15.9576	+	25.8864i	−0.509746	+	0.826910i
$981$	26.7934	+	12.2361i	0.855448	+	0.390670i
$982$	−4.40497	−	14.4971i	−0.140568	−	0.462622i
$983$	−36.5695	+	10.7378i	−1.16639	+	0.342482i	−0.806911	−	0.590673i	$-0.798862\pi$
$983$	−36.5695	+	10.7378i	−1.16639	+	0.342482i	−0.359475	+	0.933155i	$0.617044\pi$
$984$	1.27693	−	0.220457i	0.0407072	−	0.00702791i
$985$	−5.26283	+	17.9236i	−0.167688	+	0.571092i
$986$	−12.6107	+	44.4886i	−0.401605	+	1.41681i
$987$	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	0.321889	−	0.946777i	$-0.395682\pi$
$991$	11.4588	+	1.64753i	0.364002	+	0.0523356i	0.0421126	+	0.999113i	$0.486591\pi$
$992$	−2.64788	−	56.3757i	−0.0840704	−	1.78993i
$993$	7.55763	+	2.21912i	0.239834	+	0.0704216i
$994$	0.453908	+	48.3546i	0.0143971	+	1.53372i
$995$	7.33632	+	24.9852i	0.232577	+	0.792085i
$996$	−3.70479	−	1.60857i	−0.117391	−	0.0509694i
$997$	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	$-0.0729348\pi$
$998$	12.7959	−	1.96254i	0.405048	−	0.0621232i
$999$	−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.15.7	yes	100
3.2	odd	2		828.2.u.a.199.4		100
4.3	odd	2	inner	92.2.h.a.15.3	✓	100
12.11	even	2		828.2.u.a.199.8		100
23.20	odd	22	inner	92.2.h.a.43.3	yes	100
69.20	even	22		828.2.u.a.595.8		100
92.43	even	22	inner	92.2.h.a.43.7	yes	100
276.227	odd	22		828.2.u.a.595.4		100

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

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

\(f(q)\)	\(=\)	\(q+(0.936105 + 1.06005i) q^{2} +(0.340970 - 0.155716i) q^{3} +(-0.247417 + 1.98464i) q^{4} +(1.65610 - 1.43502i) q^{5} +(0.484250 + 0.215679i) q^{6} +(-3.14077 - 2.01845i) q^{7} +(-2.33542 + 1.59555i) q^{8} +(-1.87257 + 2.16106i) q^{9} +(3.07148 + 0.412224i) q^{10} +(0.162776 + 1.13213i) q^{11} +(0.224677 + 0.715227i) q^{12} +(2.71951 - 1.74772i) q^{13} +(-0.800429 - 5.21886i) q^{14} +(0.341226 - 0.747180i) q^{15} +(-3.87757 - 0.982065i) q^{16} +(-1.03533 - 3.52600i) q^{17} +(-4.04375 + 0.0379590i) q^{18} +(-1.68979 - 0.496168i) q^{19} +(2.43825 + 3.64182i) 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} +(4.39842 + 1.24677i) q^{26} +(-0.618795 + 2.10742i) q^{27} +(4.78297 - 5.73390i) q^{28} +(-8.53724 + 2.50676i) q^{29} +(1.11147 - 0.337722i) q^{30} +(9.07531 + 4.14456i) q^{31} +(-2.58877 - 5.02974i) q^{32} +(0.231793 + 0.360677i) q^{33} +(2.76856 - 4.39820i) q^{34} +(-8.09797 + 1.16431i) q^{35} +(-3.82562 - 4.25105i) q^{36} +(4.67281 + 4.04902i) q^{37} +(-1.05586 - 2.25573i) q^{38} +(0.655122 - 1.01939i) q^{39} +(-1.57805 + 5.99379i) q^{40} +(-0.800388 - 0.923697i) q^{41} +(-1.08558 - 1.65483i) q^{42} +(1.14894 + 2.51582i) q^{43} +(-2.28715 + 0.0429431i) q^{44} +6.26612i q^{45} +(6.02927 + 3.10611i) q^{46} +2.26417i q^{47} +(-1.47506 + 0.268944i) q^{48} +(2.88240 + 6.31158i) q^{49} +(-0.234163 + 0.153613i) q^{50} +(-0.902067 - 1.04104i) q^{51} +(2.79574 + 5.82966i) q^{52} +(0.401905 - 0.625377i) q^{53} +(-2.81323 + 1.31681i) q^{54} +(1.89421 + 1.64135i) q^{55} +(10.5556 - 0.297328i) q^{56} +(-0.653429 + 0.0939489i) q^{57} +(-10.6490 - 6.70332i) q^{58} +(-5.02299 - 7.81592i) q^{59} +(1.39846 + 0.862074i) q^{60} +(-3.25979 - 1.48870i) q^{61} +(4.10200 + 13.5000i) q^{62} +(10.2433 - 3.00771i) q^{63} +(2.90842 - 7.45259i) q^{64} +(1.99577 - 6.79697i) q^{65} +(-0.165353 + 0.583343i) 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} +(0.925157 - 8.03478i) q^{72} +(4.26223 + 1.25150i) q^{73} +(0.0820780 + 8.74372i) q^{74} +(0.0209128 + 0.0712223i) q^{75} +(1.40280 - 3.23086i) q^{76} +(1.77392 - 3.88434i) q^{77} +(1.69387 - 0.259793i) q^{78} +(13.6810 - 8.79222i) q^{79} +(-7.83095 + 3.93800i) q^{80} +(-1.10368 - 7.67624i) q^{81} +(0.229919 - 1.71313i) q^{82} +(-3.52806 + 4.07160i) q^{83} +(0.737992 - 2.69987i) q^{84} +(-6.77449 - 4.35370i) q^{85} +(-1.59138 + 3.57301i) q^{86} +(-2.52060 + 2.18411i) q^{87} +(-2.18653 - 2.38430i) q^{88} +(-5.59347 + 2.55445i) q^{89} +(-6.64241 + 5.86574i) q^{90} -12.0691 q^{91} +(2.35139 + 9.29898i) q^{92} +3.73978 q^{93} +(-2.40013 + 2.11950i) q^{94} +(-3.51049 + 1.60318i) q^{95} +(-1.66590 - 1.31188i) q^{96} +(-6.04072 + 5.23431i) q^{97} +(-3.99237 + 8.96379i) 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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