LMFDB - Embedded newform 97.2.k.a.3.7

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [97,2,Mod(2,97)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(97, base_ring=CyclotomicField(48)) chi = DirichletCharacter(H, H._module([17])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("97.2"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 97 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	97.k (of order $48$, degree $16$, 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:	$0.774548899606$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$8$ over $\Q(\zeta_{48})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label			3.7
Character	$\chi$	$=$	97.3
Dual form			97.2.k.a.65.7

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.49285 - 1.14550i) q^{2} +(-1.49507 - 0.196829i) q^{3} +(0.398779 - 1.48827i) q^{4} +(1.59493 - 1.81867i) q^{5} +(-2.45738 + 1.41877i) q^{6} +(0.0473419 - 0.139465i) q^{7} +(0.330691 + 0.798360i) q^{8} +(-0.701291 - 0.187910i) q^{9} +(0.297698 - 4.54199i) q^{10} +(-2.43598 + 3.17463i) q^{11} +(-0.889137 + 2.14657i) q^{12} +(2.97894 + 2.61246i) q^{13} +(-0.0890829 - 0.262430i) q^{14} +(-2.74250 + 2.40510i) q^{15} +(4.07688 + 2.35379i) q^{16} +(-1.27679 + 0.433412i) q^{17} +(-1.26217 + 0.522808i) q^{18} +(-1.02687 - 0.204257i) q^{19} +(-2.07064 - 3.09893i) q^{20} +(-0.0982302 + 0.199191i) q^{21} +7.52966i q^{22} +(-5.28859 - 2.60804i) q^{23} +(-0.337265 - 1.25869i) q^{24} +(-0.111124 - 0.844073i) q^{25} +(7.43967 + 0.487622i) q^{26} +(5.19104 + 2.15020i) q^{27} +(-0.188682 - 0.126073i) q^{28} +(-0.512624 - 7.82113i) q^{29} +(-1.33908 + 6.73199i) q^{30} +(0.519841 - 3.94859i) q^{31} +(7.06893 - 0.930642i) q^{32} +(4.26682 - 4.26682i) q^{33} +(-1.40958 + 2.10958i) q^{34} +(-0.178133 - 0.308536i) q^{35} +(-0.559320 + 0.968771i) q^{36} +(-1.89904 - 3.85087i) q^{37} +(-1.76693 + 0.871355i) q^{38} +(-3.93950 - 4.49214i) q^{39} +(1.97938 + 0.671909i) q^{40} +(-0.786576 + 0.0515549i) q^{41} +(0.0815311 + 0.409885i) q^{42} +(-10.9581 + 2.93622i) q^{43} +(3.75327 + 4.89136i) q^{44} +(-1.46026 + 0.975712i) q^{45} +(-10.8826 + 2.16468i) q^{46} +(4.31916 + 4.31916i) q^{47} +(-5.63192 - 4.32152i) q^{48} +(5.53626 + 4.24812i) q^{49} +(-1.13278 - 1.13278i) q^{50} +(1.99420 - 0.396671i) q^{51} +(5.07597 - 3.39165i) q^{52} +(-6.56625 - 8.55731i) q^{53} +(10.2125 - 2.73642i) q^{54} +(1.88839 + 9.49356i) q^{55} +(0.126999 - 0.00832393i) q^{56} +(1.49503 + 0.507496i) q^{57} +(-9.72439 - 11.0885i) q^{58} +(-1.90818 + 0.941010i) q^{59} +(2.48578 + 5.04067i) q^{60} +(4.49919 - 7.79282i) q^{61} +(-3.74707 - 6.49011i) q^{62} +(-0.0594073 + 0.0889093i) q^{63} +(2.82926 - 2.82926i) q^{64} +(9.50239 - 1.25101i) q^{65} +(1.48206 - 11.2574i) q^{66} +(-0.433267 + 2.17818i) q^{67} +(0.135874 + 2.07304i) q^{68} +(7.39346 + 4.94015i) q^{69} +(-0.619354 - 0.256545i) q^{70} +(12.6206 + 0.827197i) q^{71} +(-0.0818908 - 0.622022i) q^{72} +(4.30903 + 16.0815i) q^{73} +(-7.24615 - 3.57341i) q^{74} +1.28382i q^{75} +(-0.713482 + 1.44680i) q^{76} +(0.327425 + 0.490027i) q^{77} +(-11.0268 - 2.19337i) q^{78} +(0.921000 - 0.381491i) q^{79} +(10.7831 - 3.66037i) q^{80} +(-5.45145 - 3.14740i) q^{81} +(-1.11518 + 0.977988i) q^{82} +(-4.10690 - 12.0985i) q^{83} +(0.257277 + 0.225626i) q^{84} +(-1.24816 + 3.01332i) q^{85} +(-12.9954 + 16.9359i) q^{86} +(-0.773021 + 11.7940i) q^{87} +(-3.34006 - 0.894965i) q^{88} +(0.0222943 + 0.0538232i) q^{89} +(-1.06226 + 3.12931i) q^{90} +(0.505374 - 0.291778i) q^{91} +(-5.99044 + 6.83079i) q^{92} +(-1.55440 + 5.80109i) q^{93} +(11.3955 + 1.50024i) q^{94} +(-2.00926 + 1.54176i) q^{95} -10.7517 q^{96} +(-7.60819 + 6.25423i) q^{97} +13.1310 q^{98} +(2.30488 - 1.76859i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 16 q^{2} - 24 q^{3} - 16 q^{4} - 16 q^{5} - 24 q^{6} - 16 q^{7} - 16 q^{8} + 8 q^{9} + 16 q^{10} - 16 q^{11} - 8 q^{12} - 16 q^{13} + 32 q^{14} + 16 q^{15} - 24 q^{16} - 8 q^{17} - 80 q^{18} - 24 q^{19}+ \cdots - 224 q^{99}+O(q^{100}) $ 128 * q - 16 * q^2 - 24 * q^3 - 16 * q^4 - 16 * q^5 - 24 * q^6 - 16 * q^7 - 16 * q^8 + 8 * q^9 + 16 * q^10 - 16 * q^11 - 8 * q^12 - 16 * q^13 + 32 * q^14 + 16 * q^15 - 24 * q^16 - 8 * q^17 - 80 * q^18 - 24 * q^19 - 8 * q^20 - 16 * q^21 + 24 * q^23 - 48 * q^24 - 24 * q^25 + 24 * q^26 + 24 * q^28 - 56 * q^30 - 40 * q^31 + 128 * q^32 - 8 * q^33 - 16 * q^34 - 72 * q^35 + 112 * q^36 + 8 * q^37 - 16 * q^38 + 32 * q^40 + 16 * q^41 - 64 * q^42 - 24 * q^43 + 104 * q^44 + 152 * q^45 - 16 * q^46 + 32 * q^47 - 48 * q^49 + 8 * q^50 - 16 * q^51 - 48 * q^52 - 32 * q^53 + 96 * q^54 - 16 * q^55 - 16 * q^56 - 16 * q^57 + 112 * q^58 + 32 * q^59 + 16 * q^60 - 56 * q^61 + 56 * q^62 + 176 * q^63 - 48 * q^64 - 8 * q^65 - 8 * q^66 - 32 * q^67 - 48 * q^68 - 96 * q^69 + 64 * q^70 + 136 * q^71 + 112 * q^72 - 64 * q^73 + 304 * q^76 - 16 * q^77 - 64 * q^78 + 32 * q^79 - 48 * q^80 + 72 * q^81 - 8 * q^82 - 64 * q^83 - 112 * q^84 - 72 * q^85 - 248 * q^86 + 96 * q^87 - 96 * q^88 - 16 * q^90 - 168 * q^91 - 120 * q^92 + 24 * q^93 + 48 * q^94 + 32 * q^95 - 352 * q^96 - 176 * q^97 + 208 * q^98 - 224 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/97\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{35}{48}\right)$

Coefficient data

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

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

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

$2$	1.49285	−	1.14550i	1.05560	−	0.809992i	0.0733027	−	0.997310i	$-0.476646\pi$
$2$	1.49285	−	1.14550i	1.05560	−	0.809992i	0.982299	+	0.187318i	$0.0599794\pi$
$3$	−1.49507	−	0.196829i	−0.863178	−	0.113640i	−0.314079	−	0.949397i	$-0.601696\pi$
$3$	−1.49507	−	0.196829i	−0.863178	−	0.113640i	−0.549099	+	0.835757i	$0.685029\pi$
$4$	0.398779	−	1.48827i	0.199390	−	0.744133i
$5$	1.59493	−	1.81867i	0.713274	−	0.813333i	−0.275728	−	0.961236i	$-0.588919\pi$
$5$	1.59493	−	1.81867i	0.713274	−	0.813333i	0.989002	+	0.147902i	$0.0472521\pi$
$6$	−2.45738	+	1.41877i	−1.00322	+	0.579209i
$7$	0.0473419	−	0.139465i	0.0178936	−	0.0527127i	−0.937616	−	0.347671i	$-0.886973\pi$
$7$	0.0473419	−	0.139465i	0.0178936	−	0.0527127i	0.955510	+	0.294959i	$0.0953058\pi$
$8$	0.330691	+	0.798360i	0.116917	+	0.282263i
$9$	−0.701291	−	0.187910i	−0.233764	−	0.0626367i
$10$	0.297698	−	4.54199i	0.0941403	−	1.43630i
$11$	−2.43598	+	3.17463i	−0.734476	+	0.957187i	−0.999976	−	0.00692336i	$-0.997796\pi$
$11$	−2.43598	+	3.17463i	−0.734476	+	0.957187i	0.265500	+	0.964111i	$0.414463\pi$
$12$	−0.889137	+	2.14657i	−0.256672	+	0.619660i
$13$	2.97894	+	2.61246i	0.826208	+	0.724565i	0.964002	−	0.265896i	$-0.0856677\pi$
$13$	2.97894	+	2.61246i	0.826208	+	0.724565i	−0.137794	+	0.990461i	$0.544001\pi$
$14$	−0.0890829	−	0.262430i	−0.0238084	−	0.0701373i
$15$	−2.74250	+	2.40510i	−0.708109	+	0.620995i
$16$	4.07688	+	2.35379i	1.01922	+	0.588447i
$17$	−1.27679	+	0.433412i	−0.309667	+	0.105118i	−0.471947	−	0.881627i	$-0.656449\pi$
$17$	−1.27679	+	0.433412i	−0.309667	+	0.105118i	0.162280	+	0.986745i	$0.448115\pi$
$18$	−1.26217	+	0.522808i	−0.297496	+	0.123227i
$19$	−1.02687	−	0.204257i	−0.235580	−	0.0468597i	0.0758884	−	0.997116i	$-0.475821\pi$
$19$	−1.02687	−	0.204257i	−0.235580	−	0.0468597i	−0.311468	+	0.950257i	$0.600821\pi$
$20$	−2.07064	−	3.09893i	−0.463008	−	0.692941i
$21$	−0.0982302	+	0.199191i	−0.0214356	+	0.0434671i
$22$			7.52966i			1.60533i
$23$	−5.28859	−	2.60804i	−1.10275	−	0.543814i	−0.202538	−	0.979274i	$-0.564919\pi$
$23$	−5.28859	−	2.60804i	−1.10275	−	0.543814i	−0.900208	+	0.435460i	$0.856586\pi$
$24$	−0.337265	−	1.25869i	−0.0688440	−	0.256929i
$25$	−0.111124	−	0.844073i	−0.0222249	−	0.168815i
$26$	7.43967	+	0.487622i	1.45904	+	0.0956305i
$27$	5.19104	+	2.15020i	0.999015	+	0.413806i
$28$	−0.188682	−	0.126073i	−0.0356575	−	0.0238256i
$29$	−0.512624	−	7.82113i	−0.0951919	−	1.45235i	−0.731989	−	0.681316i	$-0.761408\pi$
$29$	−0.512624	−	7.82113i	−0.0951919	−	1.45235i	0.636797	−	0.771031i	$-0.280259\pi$
$30$	−1.33908	+	6.73199i	−0.244481	+	1.22909i
$31$	0.519841	−	3.94859i	0.0933662	−	0.709187i	−0.879182	−	0.476486i	$-0.841910\pi$
$31$	0.519841	−	3.94859i	0.0933662	−	0.709187i	0.972548	−	0.232701i	$-0.0747564\pi$
$32$	7.06893	−	0.930642i	1.24962	−	0.164516i
$33$	4.26682	−	4.26682i	0.742758	−	0.742758i
$34$	−1.40958	+	2.10958i	−0.241741	+	0.361791i
$35$	−0.178133	−	0.308536i	−0.0301100	−	0.0521521i
$36$	−0.559320	+	0.968771i	−0.0932201	+	0.161462i
$37$	−1.89904	−	3.85087i	−0.312200	−	0.633079i	0.683056	−	0.730366i	$-0.260650\pi$
$37$	−1.89904	−	3.85087i	−0.312200	−	0.633079i	−0.995256	+	0.0972865i	$0.968984\pi$
$38$	−1.76693	+	0.871355i	−0.286634	+	0.141352i
$39$	−3.93950	−	4.49214i	−0.630826	−	0.719319i
$40$	1.97938	+	0.671909i	0.312968	+	0.106238i
$41$	−0.786576	+	0.0515549i	−0.122843	+	0.00805153i	−0.126700	−	0.991941i	$-0.540439\pi$
$41$	−0.786576	+	0.0515549i	−0.122843	+	0.00805153i	0.00385784	+	0.999993i	$0.498772\pi$
$42$	0.0815311	+	0.409885i	0.0125805	+	0.0632466i
$43$	−10.9581	+	2.93622i	−1.67110	+	0.447770i	−0.965407	−	0.260749i	$-0.916031\pi$
$43$	−10.9581	+	2.93622i	−1.67110	+	0.447770i	−0.705692	+	0.708518i	$0.749364\pi$
$44$	3.75327	+	4.89136i	0.565827	+	0.737401i
$45$	−1.46026	+	0.975712i	−0.217682	+	0.145450i
$46$	−10.8826	+	2.16468i	−1.60455	+	0.319164i
$47$	4.31916	+	4.31916i	0.630014	+	0.630014i	0.948072	−	0.318057i	$-0.103030\pi$
$47$	4.31916	+	4.31916i	0.630014	+	0.630014i	−0.318057	+	0.948072i	$0.603030\pi$
$48$	−5.63192	−	4.32152i	−0.812897	−	0.623758i
$49$	5.53626	+	4.24812i	0.790895	+	0.606875i
$50$	−1.13278	−	1.13278i	−0.160199	−	0.160199i
$51$	1.99420	−	0.396671i	0.279244	−	0.0555450i
$52$	5.07597	−	3.39165i	0.703910	−	0.470338i
$53$	−6.56625	−	8.55731i	−0.901944	−	1.17544i	−0.983886	−	0.178800i	$-0.942779\pi$
$53$	−6.56625	−	8.55731i	−0.901944	−	1.17544i	0.0819411	−	0.996637i	$-0.473888\pi$
$54$	10.2125	−	2.73642i	1.38974	−	0.372380i
$55$	1.88839	+	9.49356i	0.254630	+	1.28011i
$56$	0.126999	−	0.00832393i	0.0169709	−	0.00111233i
$57$	1.49503	+	0.507496i	0.198022	+	0.0672195i
$58$	−9.72439	−	11.0885i	−1.27687	−	1.45600i
$59$	−1.90818	+	0.941010i	−0.248424	+	0.122509i	−0.562238	−	0.826975i	$-0.690060\pi$
$59$	−1.90818	+	0.941010i	−0.248424	+	0.122509i	0.313815	+	0.949484i	$0.398393\pi$
$60$	2.48578	+	5.04067i	0.320913	+	0.650747i
$61$	4.49919	−	7.79282i	0.576062	−	0.997768i	−0.419864	−	0.907587i	$-0.637922\pi$
$61$	4.49919	−	7.79282i	0.576062	−	0.997768i	0.995925	−	0.0901810i	$-0.0287445\pi$
$62$	−3.74707	−	6.49011i	−0.475878	−	0.824245i
$63$	−0.0594073	+	0.0889093i	−0.00748462	+	0.0112015i
$64$	2.82926	−	2.82926i	0.353658	−	0.353658i
$65$	9.50239	−	1.25101i	1.17863	−	0.155169i
$66$	1.48206	−	11.2574i	0.182429	−	1.38568i
$67$	−0.433267	+	2.17818i	−0.0529320	+	0.266107i	−0.998184	−	0.0602332i	$-0.980816\pi$
$67$	−0.433267	+	2.17818i	−0.0529320	+	0.266107i	0.945252	+	0.326340i	$0.105816\pi$
$68$	0.135874	+	2.07304i	0.0164772	+	0.251393i
$69$	7.39346	+	4.94015i	0.890068	+	0.594724i
$70$	−0.619354	−	0.256545i	−0.0740270	−	0.0306630i
$71$	12.6206	+	0.827197i	1.49779	+	0.0981703i	0.792117	−	0.610369i	$-0.208979\pi$
$71$	12.6206	+	0.827197i	1.49779	+	0.0981703i	0.705672	+	0.708539i	$0.250645\pi$
$72$	−0.0818908	−	0.622022i	−0.00965092	−	0.0733060i
$73$	4.30903	+	16.0815i	0.504333	+	1.88220i	0.469757	+	0.882796i	$0.344342\pi$
$73$	4.30903	+	16.0815i	0.504333	+	1.88220i	0.0345769	+	0.999402i	$0.488992\pi$
$74$	−7.24615	−	3.57341i	−0.842348	−	0.415400i
$75$			1.28382i			0.148243i
$76$	−0.713482	+	1.44680i	−0.0818420	+	0.165959i
$77$	0.327425	+	0.490027i	0.0373136	+	0.0558437i
$78$	−11.0268	−	2.19337i	−1.24854	−	0.248351i
$79$	0.921000	−	0.381491i	0.103621	−	0.0429211i	−0.330271	−	0.943886i	$-0.607140\pi$
$79$	0.921000	−	0.381491i	0.103621	−	0.0429211i	0.433892	+	0.900965i	$0.357140\pi$
$80$	10.7831	−	3.66037i	1.20559	−	0.409241i
$81$	−5.45145	−	3.14740i	−0.605717	−	0.349711i
$82$	−1.11518	+	0.977988i	−0.123151	+	0.108001i
$83$	−4.10690	−	12.0985i	−0.450791	−	1.32799i	−0.900517	−	0.434821i	$-0.856812\pi$
$83$	−4.10690	−	12.0985i	−0.450791	−	1.32799i	0.449726	−	0.893167i	$-0.351522\pi$
$84$	0.257277	+	0.225626i	0.0280712	+	0.0246178i
$85$	−1.24816	+	3.01332i	−0.135382	+	0.326841i
$86$	−12.9954	+	16.9359i	−1.40133	+	1.82624i
$87$	−0.773021	+	11.7940i	−0.0828766	+	1.26445i
$88$	−3.34006	−	0.894965i	−0.356051	−	0.0954036i
$89$	0.0222943	+	0.0538232i	0.00236319	+	0.00570525i	0.925057	−	0.379829i	$-0.124017\pi$
$89$	0.0222943	+	0.0538232i	0.00236319	+	0.00570525i	−0.922694	+	0.385534i	$0.874017\pi$
$90$	−1.06226	+	3.12931i	−0.111972	+	0.329859i
$91$	0.505374	−	0.291778i	0.0529776	−	0.0305866i
$92$	−5.99044	+	6.83079i	−0.624546	+	0.712159i
$93$	−1.55440	+	5.80109i	−0.161183	+	0.601545i
$94$	11.3955	+	1.50024i	1.17535	+	0.154738i
$95$	−2.00926	+	1.54176i	−0.206146	+	0.158181i
$96$	−10.7517			−1.09734
$97$	−7.60819	+	6.25423i	−0.772495	+	0.635021i
$97$	−7.60819	+	6.25423i	−0.772495	+	0.635021i
$98$	13.1310			1.32643
$99$	2.30488	−	1.76859i	0.231649	−	0.177750i
$100$	−1.30052	−	0.171217i	−0.130052	−	0.0171217i
$101$	2.04462	−	7.63063i	0.203447	−	0.759276i	−0.786470	−	0.617629i	$-0.788093\pi$
$101$	2.04462	−	7.63063i	0.203447	−	0.759276i	0.989917	−	0.141647i	$-0.0452399\pi$
$102$	2.52264	−	2.87653i	0.249779	−	0.284818i
$103$	5.28549	−	3.05158i	0.520795	−	0.300681i	−0.216465	−	0.976290i	$-0.569453\pi$
$103$	5.28549	−	3.05158i	0.520795	−	0.300681i	0.737260	+	0.675609i	$0.236119\pi$
$104$	−1.10057	+	3.24218i	−0.107920	+	0.317922i
$105$	0.205592	+	0.496344i	0.0200638	+	0.0484382i
$106$	−19.6048	−	5.25310i	−1.90419	−	0.510226i
$107$	−0.752858	+	11.4864i	−0.0727816	+	1.11043i	0.792740	+	0.609560i	$0.208654\pi$
$107$	−0.752858	+	11.4864i	−0.0727816	+	1.11043i	−0.865521	+	0.500872i	$0.833013\pi$
$108$	5.27014	−	6.86818i	0.507120	−	0.660891i
$109$	−3.39404	+	8.19394i	−0.325090	+	0.784837i	0.673853	+	0.738866i	$0.264638\pi$
$109$	−3.39404	+	8.19394i	−0.325090	+	0.784837i	−0.998943	+	0.0459712i	$0.985362\pi$
$110$	13.6940	+	12.0093i	1.30567	+	1.14504i
$111$	2.08123	+	6.13110i	0.197541	+	0.581938i
$112$	0.521278	−	0.457148i	0.0492561	−	0.0431964i
$113$	−9.95906	−	5.74987i	−0.936870	−	0.540902i	−0.0478921	−	0.998853i	$-0.515250\pi$
$113$	−9.95906	−	5.74987i	−0.936870	−	0.540902i	−0.888978	+	0.457950i	$0.848584\pi$
$114$	2.81319	−	0.954951i	0.263480	−	0.0894393i
$115$	−13.1781	+	5.45854i	−1.22886	+	0.509012i
$116$	−11.8443	−	2.35599i	−1.09972	−	0.218748i
$117$	−1.59819	−	2.39186i	−0.147753	−	0.221128i
$118$	−1.77069	+	3.59061i	−0.163005	+	0.330542i
$119$			0.198586i			0.0182043i
$120$	−2.82706	−	1.39415i	−0.258074	−	0.127268i
$121$	−1.29728	−	4.84150i	−0.117934	−	0.440136i
$122$	−2.21009	−	16.7873i	−0.200092	−	1.51985i
$123$	1.18613	+	0.0777432i	0.106950	+	0.00700987i
$124$	−5.66924	−	2.34828i	−0.509113	−	0.210881i
$125$	8.34412	+	5.57537i	0.746321	+	0.498676i
$126$	0.0131598	+	0.200779i	0.00117236	+	0.0178868i
$127$	−0.829767	+	4.17152i	−0.0736299	+	0.370162i	−0.999979	−	0.00650402i	$-0.997930\pi$
$127$	−0.829767	+	4.17152i	−0.0736299	+	0.370162i	0.926349	+	0.376666i	$0.122930\pi$
$128$	−0.878554	+	6.67328i	−0.0776539	+	0.589840i
$129$	16.9611	−	2.23297i	1.49334	−	0.196602i
$130$	12.7526	−	12.7526i	1.11847	−	1.11847i
$131$	11.1752	−	16.7248i	0.976379	−	1.46125i	0.0912952	−	0.995824i	$-0.470899\pi$
$131$	11.1752	−	16.7248i	0.976379	−	1.46125i	0.885084	−	0.465431i	$-0.154101\pi$
$132$	−4.64864	−	8.05168i	−0.404612	−	0.700808i
$133$	−0.0771006	+	0.133542i	−0.00668547	+	0.0115796i
$134$	1.84831	+	3.74800i	0.159670	+	0.323778i
$135$	12.1898	−	6.01136i	1.04913	−	0.517376i
$136$	−0.768242	−	0.876013i	−0.0658762	−	0.0751175i
$137$	13.8279	+	4.69393i	1.18139	+	0.401029i	0.841929	−	0.539589i	$-0.181420\pi$
$137$	13.8279	+	4.69393i	1.18139	+	0.401029i	0.339466	+	0.940618i	$0.389754\pi$
$138$	16.6963	−	1.09433i	1.42128	−	0.0931556i
$139$	−3.33195	−	16.7508i	−0.282612	−	1.42079i	−0.817532	−	0.575884i	$-0.804658\pi$
$139$	−3.33195	−	16.7508i	−0.282612	−	1.42079i	0.534919	−	0.844903i	$-0.320342\pi$
$140$	−0.530219	+	0.142072i	−0.0448117	+	0.0120073i
$141$	−5.60730	−	7.30758i	−0.472220	−	0.615409i
$142$	19.7882	−	13.2220i	1.66059	−	1.10957i
$143$	−15.5502	+	3.09313i	−1.30037	+	0.258661i
$144$	−2.41678	−	2.41678i	−0.201398	−	0.201398i
$145$	−15.0416	−	11.5419i	−1.24914	−	0.958500i
$146$	24.8541	+	19.0712i	2.05694	+	1.57835i
$147$	−7.44094	−	7.44094i	−0.613718	−	0.613718i
$148$	−6.48841	+	1.29063i	−0.533344	+	0.106089i
$149$	−9.64879	+	6.44712i	−0.790460	+	0.528168i	−0.884022	−	0.467445i	$-0.845175\pi$
$149$	−9.64879	+	6.44712i	−0.790460	+	0.528168i	0.0935623	+	0.995613i	$0.470175\pi$
$150$	1.47062	+	1.91655i	0.120075	+	0.156485i
$151$	15.6316	−	4.18848i	1.27208	−	0.340853i	0.441254	−	0.897382i	$-0.354534\pi$
$151$	15.6316	−	4.18848i	1.27208	−	0.340853i	0.830828	+	0.556529i	$0.187867\pi$
$152$	−0.176506	−	0.887356i	−0.0143165	−	0.0719741i
$153$	0.976844	−	0.0640257i	0.0789732	−	0.00517617i
$154$	1.05012	+	0.356468i	0.0846213	+	0.0287250i
$155$	−6.35206	−	7.24314i	−0.510210	−	0.581783i
$156$	−8.25649	+	4.07165i	−0.661049	+	0.325993i
$157$	7.34351	+	14.8912i	0.586076	+	1.18844i	0.964812	+	0.262939i	$0.0846919\pi$
$157$	7.34351	+	14.8912i	0.586076	+	1.18844i	−0.378737	+	0.925504i	$0.623641\pi$
$158$	0.937914	−	1.62451i	0.0746164	−	0.129239i
$159$	8.13267	+	14.0862i	0.644962	+	1.11711i
$160$	9.58191	−	14.3403i	0.757517	−	1.13370i
$161$	−0.614102	+	0.614102i	−0.0483980	+	0.0483980i
$162$	−11.7435	+	1.54606i	−0.922659	+	0.121470i
$163$	−1.30492	+	9.91188i	−0.102209	+	0.776358i	0.861189	+	0.508285i	$0.169720\pi$
$163$	−1.30492	+	9.91188i	−0.102209	+	0.776358i	−0.963399	+	0.268073i	$0.913613\pi$
$164$	−0.236943	+	1.19119i	−0.0185021	+	0.0930165i
$165$	−0.954654	−	14.5652i	−0.0743197	−	1.13390i
$166$	−19.9899	−	13.3568i	−1.55152	−	1.03669i
$167$	−17.5571	−	7.27238i	−1.35861	−	0.562753i	−0.419931	−	0.907556i	$-0.637946\pi$
$167$	−17.5571	−	7.27238i	−1.35861	−	0.562753i	−0.938675	+	0.344803i	$0.887946\pi$
$168$	−0.191510	−	0.0125522i	−0.0147753	−	0.000968425i
$169$	0.352289	+	2.67590i	0.0270992	+	0.205839i
$170$	1.58846	+	5.92820i	0.121829	+	0.454672i
$171$	0.681751	+	0.336202i	0.0521348	+	0.0257100i
$172$			17.4795i			1.33280i
$173$	4.88545	−	9.90671i	0.371434	−	0.753193i	−0.628259	−	0.778005i	$-0.716232\pi$
$173$	4.88545	−	9.90671i	0.371434	−	0.753193i	0.999692	+	0.0248118i	$0.00789864\pi$
$174$	12.3561	+	18.4922i	0.936712	+	1.40189i
$175$	−0.122979	−	0.0244621i	−0.00929636	−	0.00184916i
$176$	−17.4036	+	7.20881i	−1.31185	+	0.543384i
$177$	3.03808	−	1.03129i	0.228356	−	0.0775164i
$178$	0.0949365	+	0.0548116i	0.00711579	+	0.00410831i
$179$	−0.679709	+	0.596089i	−0.0508039	+	0.0445538i	−0.684371	−	0.729134i	$-0.739923\pi$
$179$	−0.679709	+	0.596089i	−0.0508039	+	0.0445538i	0.633567	+	0.773687i	$0.281590\pi$
$180$	0.869798	+	2.56234i	0.0648309	+	0.190986i
$181$	9.00407	+	7.89636i	0.669267	+	0.586931i	0.925070	−	0.379798i	$-0.124006\pi$
$181$	9.00407	+	7.89636i	0.669267	+	0.586931i	−0.255803	+	0.966729i	$0.582340\pi$
$182$	0.420214	−	1.01449i	0.0311484	−	0.0751988i
$183$	−8.26045	+	10.7652i	−0.610630	+	0.795788i
$184$	0.333266	−	5.08465i	0.0245687	−	0.374845i
$185$	−10.0323	−	2.68814i	−0.737589	−	0.197636i
$186$	4.32468	+	10.4407i	0.317101	+	0.765549i
$187$	1.73431	−	5.10912i	0.126826	−	0.373616i
$188$	8.15045	−	4.70566i	0.594433	−	0.343196i
$189$	0.545631	−	0.622172i	0.0396888	−	0.0452564i
$190$	−1.23343	+	4.60322i	−0.0894823	+	0.333952i
$191$	−14.7799	−	1.94581i	−1.06944	−	0.140794i	−0.424803	−	0.905286i	$-0.639657\pi$
$191$	−14.7799	−	1.94581i	−1.06944	−	0.140794i	−0.644633	+	0.764492i	$0.722990\pi$
$192$	−4.78682	+	3.67306i	−0.345459	+	0.265080i
$193$	21.6771			1.56035			0.780177	−	0.625559i	$-0.215129\pi$
$193$	21.6771			1.56035			0.780177	+	0.625559i	$0.215129\pi$
$194$	−4.19363	+	18.0518i	−0.301085	+	1.29604i
$195$	−14.4530			−1.03500
$196$	8.53008	−	6.54536i	0.609292	−	0.467526i
$197$	−22.5804	−	2.97277i	−1.60879	−	0.211801i	−0.728090	−	0.685482i	$-0.759592\pi$
$197$	−22.5804	−	2.97277i	−1.60879	−	0.211801i	−0.880697	+	0.473681i	$0.842925\pi$
$198$	1.41490	−	5.28048i	0.100553	−	0.375267i
$199$	7.60354	−	8.67018i	0.539001	−	0.614613i	−0.416667	−	0.909059i	$-0.636802\pi$
$199$	7.60354	−	8.67018i	0.539001	−	0.614613i	0.955668	+	0.294446i	$0.0951353\pi$
$200$	0.637126	−	0.367845i	0.0450516	−	0.0260106i
$201$	1.07649	−	3.17125i	0.0759301	−	0.223683i
$202$	−5.68859	−	13.7335i	−0.400248	−	0.966284i
$203$	−1.11504	−	0.298774i	−0.0782606	−	0.0209699i
$204$	0.204894	−	3.12608i	0.0143455	−	0.218869i
$205$	−1.16077	+	1.51275i	−0.0810718	+	0.105655i
$206$	4.39484	−	10.6101i	0.306203	−	0.739239i
$207$	3.21876	+	2.82277i	0.223719	+	0.196196i
$208$	5.99559	+	17.6624i	0.415720	+	1.22467i
$209$	3.14987	−	2.76236i	0.217881	−	0.191077i
$210$	0.875481	+	0.505459i	0.0604139	+	0.0348800i
$211$	5.93892	−	2.01599i	0.408852	−	0.138787i	−0.109434	−	0.993994i	$-0.534904\pi$
$211$	5.93892	−	2.01599i	0.408852	−	0.138787i	0.518286	+	0.855208i	$0.326570\pi$
$212$	−15.3540	+	6.35985i	−1.05452	+	0.436796i
$213$	−18.7058	−	3.72082i	−1.28170	−	0.254946i
$214$	12.0338	+	18.0098i	0.822613	+	1.23113i
$215$	−12.1374	+	24.6123i	−0.827766	+	1.67854i
$216$			4.85536i			0.330366i
$217$	−0.526079	−	0.259433i	−0.0357125	−	0.0176115i
$218$	4.31939	+	16.1202i	0.292546	+	1.09180i
$219$	−3.27697	−	24.8911i	−0.221437	−	1.68198i
$220$	14.8820	+	0.975416i	1.00334	+	0.0657626i
$221$	−4.93575	−	2.04445i	−0.332014	−	0.137525i
$222$	10.1301	+	6.76874i	0.679891	+	0.454288i
$223$	0.537027	+	8.19345i	0.0359620	+	0.548674i	0.977388	+	0.211454i	$0.0678199\pi$
$223$	0.537027	+	8.19345i	0.0359620	+	0.548674i	−0.941426	+	0.337220i	$0.890513\pi$
$224$	0.204865	−	1.02993i	0.0136881	−	0.0688148i
$225$	−0.0806795	+	0.612822i	−0.00537864	+	0.0408548i
$226$	−21.4538	+	2.82445i	−1.42709	+	0.187880i
$227$	13.3284	−	13.3284i	0.884638	−	0.884638i	−0.109364	−	0.994002i	$-0.534881\pi$
$227$	13.3284	−	13.3284i	0.884638	−	0.884638i	0.994002	+	0.109364i	$0.0348814\pi$
$228$	1.35148	−	2.02263i	0.0895038	−	0.133952i
$229$	−2.84981	−	4.93601i	−0.188321	−	0.326181i	0.756370	−	0.654144i	$-0.226971\pi$
$229$	−2.84981	−	4.93601i	−0.188321	−	0.326181i	−0.944690	+	0.327963i	$0.893638\pi$
$230$	−13.4201	+	23.2443i	−0.884895	+	1.53268i
$231$	−0.393072	−	0.797070i	−0.0258622	−	0.0524434i
$232$	6.07456	−	2.99564i	0.398814	−	0.196673i
$233$	−0.696274	−	0.793948i	−0.0456144	−	0.0520133i	0.728583	−	0.684958i	$-0.240179\pi$
$233$	−0.696274	−	0.793948i	−0.0456144	−	0.0520133i	−0.774197	+	0.632945i	$0.781846\pi$
$234$	−5.12574	−	1.73995i	−0.335080	−	0.113744i
$235$	14.7439	−	0.966365i	0.961785	−	0.0630387i
$236$	0.639530	+	3.21513i	0.0416298	+	0.209287i
$237$	−1.45205	+	0.389075i	−0.0943206	+	0.0252731i
$238$	0.227481	+	0.296458i	0.0147454	+	0.0192165i
$239$	3.96575	−	2.64983i	0.256523	−	0.171403i	−0.420659	−	0.907219i	$-0.638201\pi$
$239$	3.96575	−	2.64983i	0.256523	−	0.171403i	0.677182	+	0.735816i	$0.263201\pi$
$240$	−16.8419	+	3.35007i	−1.08714	+	0.216246i
$241$	−2.54399	−	2.54399i	−0.163873	−	0.163873i	0.620407	−	0.784280i	$-0.286967\pi$
$241$	−2.54399	−	2.54399i	−0.163873	−	0.163873i	−0.784280	+	0.620407i	$0.786967\pi$
$242$	−7.48257	−	5.74158i	−0.480998	−	0.369083i
$243$	−5.84214	−	4.48283i	−0.374774	−	0.287574i
$244$	−9.80360	−	9.80360i	−0.627611	−	0.627611i
$245$	16.5559	−	3.29317i	1.05772	−	0.210393i
$246$	1.85977	−	1.24266i	0.118575	−	0.0792290i
$247$	−2.52536	−	3.29112i	−0.160685	−	0.209409i
$248$	3.32430	−	0.890743i	0.211093	−	0.0565622i
$249$	3.75875	+	18.8965i	0.238201	+	1.19752i
$250$	18.8431	−	1.23504i	1.19174	−	0.0781109i
$251$	13.1268	+	4.45595i	0.828557	+	0.281257i	0.703323	−	0.710870i	$-0.251699\pi$
$251$	13.1268	+	4.45595i	0.828557	+	0.281257i	0.125233	+	0.992127i	$0.460032\pi$
$252$	0.108630	+	0.123869i	0.00684306	+	0.00780302i
$253$	21.1625	−	10.4362i	1.33047	−	0.656117i
$254$	3.53977	+	7.17794i	0.222105	+	0.450384i
$255$	2.45919	−	4.25945i	0.154001	−	0.266737i
$256$	10.3339	+	17.8988i	0.645868	+	1.11868i
$257$	−7.22203	+	10.8085i	−0.450498	+	0.674218i	−0.985314	−	0.170751i	$-0.945381\pi$
$257$	−7.22203	+	10.8085i	−0.450498	+	0.674218i	0.534816	+	0.844968i	$0.320381\pi$
$258$	22.7624	−	22.7624i	1.41713	−	1.41713i
$259$	−0.626965	+	0.0825415i	−0.0389577	+	0.00512888i
$260$	1.92752	−	14.6409i	0.119540	−	0.907993i
$261$	−1.11017	+	5.58121i	−0.0687179	+	0.345468i
$262$	−2.47550	−	37.7688i	−0.152937	−	2.33336i
$263$	14.8255	+	9.90606i	0.914177	+	0.610834i	0.921178	−	0.389142i	$-0.127228\pi$
$263$	14.8255	+	9.90606i	0.914177	+	0.610834i	−0.00700046	+	0.999975i	$0.502228\pi$
$264$	4.81745	+	1.99545i	0.296494	+	0.122812i
$265$	−26.0356	−	1.70647i	−1.59936	−	0.104827i
$266$	0.0378734	+	0.287677i	0.00232216	+	0.0176386i
$267$	−0.0227375	−	0.0848575i	−0.00139151	−	0.00519320i
$268$	3.06893	+	1.51343i	0.187465	+	0.0924475i
$269$			23.4238i			1.42817i	0.700058	+	0.714086i	$0.253157\pi$
$269$			23.4238i			1.42817i	−0.700058	+	0.714086i	$0.746843\pi$
$270$	11.3115	−	22.9375i	0.688398	−	1.39593i
$271$	−3.49172	−	5.22572i	−0.212107	−	0.317440i	0.710127	−	0.704074i	$-0.248638\pi$
$271$	−3.49172	−	5.22572i	−0.212107	−	0.317440i	−0.922233	+	0.386634i	$0.873638\pi$
$272$	−6.22548	−	1.23832i	−0.377475	−	0.0750845i
$273$	−0.813000	+	0.336755i	−0.0492050	+	0.0203814i
$274$	26.0198	−	8.83253i	1.57191	−	0.533593i
$275$	2.95032	+	1.70337i	0.177911	+	0.102717i
$276$	10.3006	−	9.03339i	0.620024	−	0.543746i
$277$	−5.77177	−	17.0031i	−0.346792	−	1.02162i	−0.970736	−	0.240147i	$-0.922804\pi$
$277$	−5.77177	−	17.0031i	−0.346792	−	1.02162i	0.623945	−	0.781469i	$-0.285529\pi$
$278$	−24.1622	−	21.1897i	−1.44915	−	1.27087i
$279$	−1.10654	+	2.67142i	−0.0662468	+	0.159934i
$280$	0.187415	−	0.244245i	0.0112002	−	0.0145964i
$281$	−0.724049	+	11.0469i	−0.0431932	+	0.659000i	0.920291	+	0.391235i	$0.127952\pi$
$281$	−0.724049	+	11.0469i	−0.0431932	+	0.659000i	−0.963484	+	0.267766i	$0.913715\pi$
$282$	−16.7417	−	4.48592i	−0.996953	−	0.267133i
$283$	2.41079	+	5.82017i	0.143307	+	0.345973i	0.979193	−	0.202929i	$-0.0650460\pi$
$283$	2.41079	+	5.82017i	0.143307	+	0.345973i	−0.835887	+	0.548902i	$0.815046\pi$
$284$	6.26392	−	18.4529i	0.371695	−	1.09498i
$285$	3.30744	−	1.90955i	0.195916	−	0.113112i
$286$	−19.6709	+	22.4304i	−1.16317	+	1.32634i
$287$	−0.0300479	+	0.112140i	−0.00177367	+	0.00661944i
$288$	−5.13225	−	0.675674i	−0.302421	−	0.0398144i
$289$	−12.0447	+	9.24219i	−0.708509	+	0.543658i
$290$	−35.6761			−2.09497
$291$	12.6058	−	7.85299i	0.738964	−	0.460350i
$292$	25.6519			1.50116
$293$	−18.4246	+	14.1377i	−1.07637	+	0.825931i	−0.985457	−	0.169928i	$-0.945647\pi$
$293$	−18.4246	+	14.1377i	−1.07637	+	0.825931i	−0.0909175	+	0.995858i	$0.528980\pi$
$294$	−19.6318	−	2.58457i	−1.14495	−	0.150735i
$295$	−1.33203	+	4.97119i	−0.0775536	+	0.289434i
$296$	2.44638	−	2.78957i	0.142193	−	0.162140i
$297$	−19.4713	+	11.2418i	−1.12984	+	0.652315i
$298$	−7.01899	+	20.6773i	−0.406599	+	1.19780i
$299$	−8.94096	−	21.5854i	−0.517069	−	1.24832i
$300$	1.91066	+	0.511961i	0.110312	+	0.0295581i
$301$	−0.109279	+	1.66728i	−0.00629875	+	0.0961004i
$302$	18.5377	−	24.1588i	1.06672	−	1.39018i
$303$	−4.55878	+	11.0059i	−0.261895	+	0.632271i
$304$	−3.70564	−	3.24976i	−0.212533	−	0.186386i
$305$	−6.99667	−	20.6115i	−0.400628	−	1.18021i
$306$	1.38494	−	1.21456i	0.0791716	−	0.0694316i
$307$	−5.94743	−	3.43375i	−0.339438	−	0.195974i	0.320586	−	0.947220i	$-0.396120\pi$
$307$	−5.94743	−	3.43375i	−0.339438	−	0.195974i	−0.660023	+	0.751245i	$0.729454\pi$
$308$	0.859860	−	0.291883i	0.0489951	−	0.0166316i
$309$	−8.50281	+	3.52198i	−0.483708	+	0.200358i
$310$	−17.7797	−	3.53660i	−1.00982	−	0.200865i
$311$	7.33010	+	10.9703i	0.415652	+	0.622067i	0.978929	−	0.204201i	$-0.0654596\pi$
$311$	7.33010	+	10.9703i	0.415652	+	0.622067i	−0.563277	+	0.826268i	$0.690460\pi$
$312$	2.28359	−	4.63065i	0.129283	−	0.262159i
$313$		−	0.278693i		−	0.0157526i	−0.999969	−	0.00787632i	$-0.997493\pi$
$313$		−	0.278693i		−	0.0157526i	0.999969	−	0.00787632i	$-0.00250714\pi$
$314$	28.0206	+	13.8182i	1.58129	+	0.779807i
$315$	0.0669461	+	0.249846i	0.00377199	+	0.0140772i
$316$	−0.200483	−	1.52282i	−0.0112781	−	0.0856655i
$317$	15.1740	+	0.994559i	0.852258	+	0.0558600i	0.485269	−	0.874365i	$-0.338722\pi$
$317$	15.1740	+	0.994559i	0.852258	+	0.0558600i	0.366990	+	0.930225i	$0.380388\pi$
$318$	28.2766	+	11.7125i	1.58567	+	0.656807i
$319$	26.0780	+	17.4247i	1.46009	+	0.975598i
$320$	−0.633017	−	9.65797i	−0.0353867	−	0.539897i
$321$	3.38644	−	17.0248i	0.189012	−	0.950230i
$322$	−0.213305	+	1.62022i	−0.0118870	+	0.0902911i
$323$	1.39962	−	0.184264i	0.0778771	−	0.0102527i
$324$	−6.85809	+	6.85809i	−0.381005	+	0.381005i
$325$	1.87407	−	2.80475i	0.103955	−	0.155579i
$326$	9.40602	+	16.2917i	0.520951	+	0.902314i
$327$	6.68713	−	11.5824i	0.369799	−	0.640511i
$328$	−0.301273	−	0.610922i	−0.0166350	−	0.0337325i
$329$	0.806848	−	0.397894i	0.0444830	−	0.0219366i
$330$	−18.1096	−	20.6501i	−0.996901	−	1.13675i
$331$	1.84079	+	0.624864i	0.101179	+	0.0343456i	0.371570	−	0.928405i	$-0.378820\pi$
$331$	1.84079	+	0.624864i	0.101179	+	0.0343456i	−0.270391	+	0.962751i	$0.587153\pi$
$332$	−19.6436	+	1.28751i	−1.07808	+	0.0706612i
$333$	0.608160	+	3.05743i	0.0333270	+	0.167546i
$334$	−34.5405	+	9.25511i	−1.88997	+	0.506417i
$335$	3.27036	+	4.26202i	0.178679	+	0.232859i
$336$	−0.869326	+	0.580865i	−0.0474256	+	0.0316888i
$337$	5.75622	−	1.14498i	0.313562	−	0.0623713i	−0.0358009	−	0.999359i	$-0.511398\pi$
$337$	5.75622	−	1.14498i	0.313562	−	0.0623713i	0.349362	+	0.936988i	$0.386398\pi$
$338$	3.59116	+	3.59116i	0.195334	+	0.195334i
$339$	13.7577	+	10.5567i	0.747218	+	0.573360i
$340$	3.98688	+	3.05924i	0.216219	+	0.165911i
$341$	11.2690	+	11.2690i	0.610250	+	0.610250i
$342$	1.40287	−	0.279048i	0.0758585	−	0.0150892i
$343$	1.71178	−	1.14377i	0.0924274	−	0.0617580i
$344$	−5.96792	−	7.77754i	−0.321769	−	0.419337i
$345$	20.7765	−	5.56706i	1.11857	−	0.299720i
$346$	−4.05492	−	20.3855i	−0.217994	−	1.09593i
$347$	−21.8436	+	1.43171i	−1.17263	+	0.0768580i	−0.639235	−	0.769011i	$-0.720749\pi$
$347$	−21.8436	+	1.43171i	−1.17263	+	0.0768580i	−0.533391	+	0.845869i	$0.679082\pi$
$348$	17.2444	+	5.85368i	0.924395	+	0.313790i
$349$	−8.58184	−	9.78572i	−0.459376	−	0.523817i	0.475058	−	0.879954i	$-0.342427\pi$
$349$	−8.58184	−	9.78572i	−0.459376	−	0.523817i	−0.934434	+	0.356137i	$0.884094\pi$
$350$	−0.211611	+	0.104355i	−0.0113111	+	0.00557800i
$351$	9.84647	+	19.9667i	0.525566	+	1.06574i
$352$	−14.2653	+	24.7083i	−0.760344	+	1.31696i
$353$	−0.766064	−	1.32686i	−0.0407735	−	0.0706217i	0.844918	−	0.534895i	$-0.179649\pi$
$353$	−0.766064	−	1.32686i	−0.0407735	−	0.0706217i	−0.885692	+	0.464273i	$0.846316\pi$
$354$	3.35404	−	5.01968i	0.178265	−	0.266793i
$355$	21.6334	−	21.6334i	1.14818	−	1.14818i
$356$	0.0889937	−	0.0117162i	0.00471666	−	0.000620960i
$357$	0.0390876	−	0.296900i	0.00206873	−	0.0157136i
$358$	−0.331881	+	1.66848i	−0.0175405	+	0.0881818i
$359$	1.51206	+	23.0696i	0.0798035	+	1.21757i	0.830538	+	0.556962i	$0.188033\pi$
$359$	1.51206	+	23.0696i	0.0798035	+	1.21757i	−0.750734	+	0.660604i	$0.770300\pi$
$360$	−1.26186	−	0.843150i	−0.0665060	−	0.0444379i
$361$	−16.5410	−	6.85150i	−0.870578	−	0.360605i
$362$	22.4870	+	1.47387i	1.18189	+	0.0774651i
$363$	0.986566	+	7.49371i	0.0517813	+	0.393318i
$364$	−0.232710	−	0.868486i	−0.0121973	−	0.0455210i
$365$	36.1195	+	17.8122i	1.89058	+	0.932332i
$366$			25.5332i			1.33464i
$367$	1.15869	−	2.34958i	0.0604829	−	0.122647i	−0.864532	−	0.502577i	$-0.832385\pi$
$367$	1.15869	−	2.34958i	0.0604829	−	0.122647i	0.925015	+	0.379930i	$0.124052\pi$
$368$	−15.4221	−	23.0809i	−0.803935	−	1.20317i
$369$	0.561306	+	0.111651i	0.0292204	+	0.00581230i
$370$	−18.0560	+	7.47902i	−0.938684	+	0.388816i
$371$	−1.50430	+	0.510642i	−0.0780995	+	0.0265112i
$372$	8.01369	+	4.62671i	0.415491	+	0.239884i
$373$	−23.4909	+	20.6009i	−1.21631	+	1.06668i	−0.220486	+	0.975390i	$0.570764\pi$
$373$	−23.4909	+	20.6009i	−1.21631	+	1.06668i	−0.995825	+	0.0912860i	$0.970902\pi$
$374$	−3.26345	−	9.61380i	−0.168749	−	0.497118i
$375$	−11.3776	−	9.97792i	−0.587539	−	0.515258i
$376$	−2.01993	+	4.87655i	−0.104170	+	0.251489i
$377$	18.9053	−	24.6379i	0.973672	−	1.26891i
$378$	0.101843	−	1.55383i	0.00523825	−	0.0799203i
$379$	−15.9119	−	4.26357i	−0.817338	−	0.219005i	−0.174156	−	0.984718i	$-0.555720\pi$
$379$	−15.9119	−	4.26357i	−0.817338	−	0.219005i	−0.643182	+	0.765713i	$0.722386\pi$
$380$	1.49329	+	3.60513i	0.0766044	+	0.184939i
$381$	2.06164	−	6.07338i	0.105621	−	0.311149i
$382$	−24.2931	+	14.0256i	−1.24294	+	0.717613i
$383$	12.1961	−	13.9070i	0.623193	−	0.710616i	−0.350989	−	0.936380i	$-0.614154\pi$
$383$	12.1961	−	13.9070i	0.623193	−	0.710616i	0.974182	+	0.225764i	$0.0724877\pi$
$384$	2.62700	−	9.80408i	0.134058	−	0.500312i
$385$	1.41342	+	0.186080i	0.0720344	+	0.00948351i
$386$	32.3606	−	24.8312i	1.64711	−	1.26387i
$387$	8.23658			0.418689
$388$	6.27397	+	13.8171i	0.318512	+	0.701455i
$389$	−0.904130			−0.0458412			−0.0229206	−	0.999737i	$-0.507296\pi$
$389$	−0.904130			−0.0458412			−0.0229206	+	0.999737i	$0.507296\pi$
$390$	−21.5760	+	16.5559i	−1.09255	+	0.838340i
$391$	7.88278	+	1.03779i	0.398649	+	0.0524832i
$392$	−1.56074	+	5.82475i	−0.0788291	+	0.294194i
$393$	−19.9996	+	22.8052i	−1.00885	+	1.15037i
$394$	−37.1144	+	21.4280i	−1.86980	+	1.07953i
$395$	0.775125	−	2.28345i	0.0390008	−	0.114893i
$396$	−1.71300	−	4.13554i	−0.0860814	−	0.207819i
$397$	−7.00782	−	1.87774i	−0.351712	−	0.0942410i	0.0786373	−	0.996903i	$-0.474943\pi$
$397$	−7.00782	−	1.87774i	−0.351712	−	0.0942410i	−0.430350	+	0.902662i	$0.641610\pi$
$398$	1.41922	−	21.6531i	0.0711391	−	1.08537i
$399$	0.141556	−	0.184479i	0.00708664	−	0.00923550i
$400$	1.53373	−	3.70275i	0.0766864	−	0.185137i
$401$	0.902855	+	0.791782i	0.0450864	+	0.0395397i	0.681593	−	0.731732i	$-0.261288\pi$
$401$	0.902855	+	0.791782i	0.0450864	+	0.0395397i	−0.636506	+	0.771272i	$0.719621\pi$
$402$	−2.02563	−	5.96732i	−0.101029	−	0.297623i
$403$	11.8641	−	10.4045i	0.590992	−	0.518286i
$404$	−10.5410	−	6.08587i	−0.524437	−	0.302784i
$405$	−14.4188	+	4.89451i	−0.716474	+	0.243210i
$406$	−2.00683	+	0.831257i	−0.0995974	+	0.0412546i
$407$	16.8511	+	3.35190i	0.835279	+	0.166147i
$408$	0.976150	+	1.46091i	0.0483266	+	0.0723259i
$409$	−9.76478	+	19.8010i	−0.482837	+	0.979097i	0.510062	+	0.860138i	$0.329622\pi$
$409$	−9.76478	+	19.8010i	−0.482837	+	0.979097i	−0.992899	+	0.118959i	$0.962044\pi$
$410$			3.58797i			0.177197i
$411$	−19.7497	−	9.73948i	−0.974181	−	0.480413i
$412$	−2.43381	−	9.08312i	−0.119905	−	0.447493i
$413$	0.0409009	+	0.310673i	0.00201260	+	0.0152872i
$414$	8.03861	+	0.526878i	0.395076	+	0.0258946i
$415$	−28.5535	−	11.8272i	−1.40163	−	0.580576i
$416$	23.4892	+	15.6949i	1.15165	+	0.769508i
$417$	1.68443	+	25.6995i	0.0824870	+	1.25851i
$418$	1.53798	−	7.73197i	0.0752253	−	0.378183i
$419$	1.71406	−	13.0196i	0.0837374	−	0.636049i	−0.897186	−	0.441653i	$-0.854392\pi$
$419$	1.71406	−	13.0196i	0.0837374	−	0.636049i	0.980923	−	0.194396i	$-0.0622746\pi$
$420$	0.820677	−	0.108044i	0.0400450	−	0.00527202i
$421$	16.7627	−	16.7627i	0.816966	−	0.816966i	−0.168701	−	0.985667i	$-0.553957\pi$
$421$	16.7627	−	16.7627i	0.816966	−	0.816966i	0.985667	+	0.168701i	$0.0539572\pi$
$422$	6.55657	−	9.81260i	0.319169	−	0.477670i
$423$	−2.21737	−	3.84060i	−0.107812	−	0.186736i
$424$	4.66041	−	8.07206i	0.226329	−	0.392014i
$425$	0.507714	+	1.02954i	0.0246278	+	0.0499401i
$426$	−32.1871	+	15.8729i	−1.55947	+	0.769047i
$427$	−0.873824	−	0.996405i	−0.0422873	−	0.0482194i
$428$	16.7946	+	5.70099i	0.811797	+	0.275568i
$429$	23.8575	−	1.56370i	1.15185	−	0.0754962i
$430$	10.0741	+	50.6458i	0.485815	+	2.44236i
$431$	−19.0146	+	5.09493i	−0.915899	+	0.245414i	−0.685831	−	0.727760i	$-0.740561\pi$
$431$	−19.0146	+	5.09493i	−0.915899	+	0.245414i	−0.230067	+	0.973175i	$0.573895\pi$
$432$	16.1021	+	20.9847i	0.774713	+	1.00963i
$433$	−21.1013	+	14.0994i	−1.01406	+	0.677575i	−0.947351	−	0.320198i	$-0.896251\pi$
$433$	−21.1013	+	14.0994i	−1.01406	+	0.677575i	−0.0667115	+	0.997772i	$0.521251\pi$
$434$	−1.08254	+	0.215330i	−0.0519634	+	0.0103362i
$435$	20.2165	+	20.2165i	0.969308	+	0.969308i
$436$	10.8413	+	8.31881i	0.519203	+	0.398399i
$437$	4.89797	+	3.75835i	0.234302	+	0.179786i
$438$	−33.4048	−	33.4048i	−1.59614	−	1.59614i
$439$	22.8497	−	4.54509i	1.09056	−	0.216926i	0.383119	−	0.923699i	$-0.374850\pi$
$439$	22.8497	−	4.54509i	1.09056	−	0.216926i	0.707440	+	0.706774i	$0.249850\pi$
$440$	−6.95480	+	4.64705i	−0.331557	+	0.221539i
$441$	−3.08426	−	4.01949i	−0.146870	−	0.191404i
$442$	−9.71024	+	2.60185i	−0.461869	+	0.123757i
$443$	−7.23917	−	36.3938i	−0.343943	−	1.72912i	−0.635088	−	0.772440i	$-0.719036\pi$
$443$	−7.23917	−	36.3938i	−0.343943	−	1.72912i	0.291144	−	0.956679i	$-0.405964\pi$
$444$	9.95466	−	0.652463i	0.472427	−	0.0309645i
$445$	0.133444	+	0.0452983i	0.00632587	+	0.00214734i
$446$	10.1873	+	11.6164i	0.482383	+	0.550052i
$447$	15.6946	−	7.73971i	0.742328	−	0.366076i
$448$	−0.260640	−	0.528525i	−0.0123141	−	0.0249705i
$449$	−6.70559	+	11.6144i	−0.316456	+	0.548119i	−0.979746	−	0.200244i	$-0.935826\pi$
$449$	−6.70559	+	11.6144i	−0.316456	+	0.548119i	0.663290	+	0.748363i	$0.269160\pi$
$450$	0.581546	+	1.00727i	0.0274144	+	0.0474831i
$451$	1.75242	−	2.62268i	0.0825180	−	0.123497i
$452$	−12.5288	+	12.5288i	−0.589305	+	0.589305i
$453$	−24.1947	+	3.18530i	−1.13677	+	0.149658i
$454$	4.62956	−	35.1650i	0.217276	−	1.65038i
$455$	0.275389	−	1.38447i	0.0129104	−	0.0649051i
$456$	0.0892308	+	1.36140i	0.00417862	+	0.0637534i
$457$	−10.0682	−	6.72734i	−0.470969	−	0.314692i	0.297339	−	0.954772i	$-0.403901\pi$
$457$	−10.0682	−	6.72734i	−0.470969	−	0.314692i	−0.768308	+	0.640080i	$0.778901\pi$
$458$	−9.90853	−	4.10425i	−0.462995	−	0.191779i
$459$	−7.55979	−	0.495495i	−0.352861	−	0.0231277i
$460$	2.86861	+	21.7892i	0.133750	+	1.01593i
$461$	0.742493	+	2.77102i	0.0345814	+	0.129059i	0.981059	−	0.193711i	$-0.0620525\pi$
$461$	0.742493	+	2.77102i	0.0345814	+	0.129059i	−0.946477	+	0.322771i	$0.895386\pi$
$462$	−1.49984	−	0.739640i	−0.0697789	−	0.0344112i
$463$			5.64217i			0.262214i	0.991368	+	0.131107i	$0.0418531\pi$
$463$			5.64217i			0.262214i	−0.991368	+	0.131107i	$0.958147\pi$
$464$	16.3194	−	33.0924i	0.757608	−	1.53628i
$465$	8.07110	+	12.0793i	0.374288	+	0.560162i
$466$	−1.94890	−	0.387660i	−0.0902810	−	0.0179580i
$467$	−9.29555	+	3.85034i	−0.430147	+	0.178173i	−0.587243	−	0.809411i	$-0.699787\pi$
$467$	−9.29555	+	3.85034i	−0.430147	+	0.178173i	0.157096	+	0.987583i	$0.449787\pi$
$468$	−4.19705	+	1.42471i	−0.194009	+	0.0658571i
$469$	0.283268	+	0.163545i	0.0130801	+	0.00755180i
$470$	20.9034	−	18.3318i	0.964201	−	0.845582i
$471$	−8.04802	−	23.7087i	−0.370833	−	1.09244i
$472$	−1.38228	−	1.21223i	−0.0636247	−	0.0557974i
$473$	17.3724	−	41.9406i	0.798782	−	1.92843i
$474$	−1.72200	+	2.24415i	−0.0790940	+	0.103077i
$475$	−0.0582976	+	0.889450i	−0.00267488	+	0.0408108i
$476$	0.295549	+	0.0791920i	0.0135464	+	0.00362976i
$477$	2.99685	+	7.23503i	0.137216	+	0.331269i
$478$	2.88487	−	8.49856i	0.131951	−	0.388715i
$479$	−19.0923	+	11.0229i	−0.872349	+	0.503651i	−0.868128	−	0.496340i	$-0.834677\pi$
$479$	−19.0923	+	11.0229i	−0.872349	+	0.503651i	−0.00422101	+	0.999991i	$0.501344\pi$
$480$	−17.1482	+	19.5538i	−0.782706	+	0.892505i
$481$	4.40312	−	16.4327i	0.200765	−	0.749265i
$482$	−6.71194	−	0.883643i	−0.305720	−	0.0402488i
$483$	1.03900	−	0.797251i	0.0472760	−	0.0362762i
$484$	−7.72276			−0.351034
$485$	−0.760149	+	23.8118i	−0.0345166	+	1.08124i
$486$	−13.8565			−0.628544
$487$	20.8024	−	15.9622i	0.942647	−	0.723318i	−0.0183635	−	0.999831i	$-0.505846\pi$
$487$	20.8024	−	15.9622i	0.942647	−	0.723318i	0.961010	+	0.276513i	$0.0891789\pi$
$488$	7.70931	+	1.01495i	0.348984	+	0.0459446i
$489$	3.90190	−	14.5621i	0.176450	−	0.658520i
$490$	20.9431	−	23.8810i	0.946111	−	1.07883i
$491$	−11.3041	+	6.52642i	−0.510146	+	0.294533i	−0.732894	−	0.680343i	$-0.761831\pi$
$491$	−11.3041	+	6.52642i	−0.510146	+	0.294533i	0.222748	+	0.974876i	$0.428497\pi$
$492$	0.588708	−	1.73428i	0.0265410	−	0.0781872i
$493$	4.04429	+	9.76377i	0.182146	+	0.439738i
$494$	−7.53996	−	2.02033i	−0.339239	−	0.0908988i
$495$	0.459629	−	7.01259i	0.0206588	−	0.315192i
$496$	11.4135	−	14.8743i	0.512479	−	0.667876i
$497$	0.712848	−	1.72097i	0.0319756	−	0.0771960i
$498$	27.2572	+	23.9039i	1.22143	+	1.07116i
$499$	−5.68174	−	16.7379i	−0.254350	−	0.749290i	−0.996840	−	0.0794335i	$-0.974689\pi$
$499$	−5.68174	−	16.7379i	−0.254350	−	0.749290i	0.742490	−	0.669857i	$-0.233644\pi$
$500$	11.6251	−	10.1949i	0.519890	−	0.455931i
$501$	24.8176	+	14.3284i	1.10877	+	0.640148i
$502$	24.7006	−	8.38473i	1.10244	−	0.374229i
$503$	5.54143	−	2.29533i	0.247080	−	0.102344i	−0.255707	−	0.966754i	$-0.582308\pi$
$503$	5.54143	−	2.29533i	0.247080	−	0.102344i	0.502787	+	0.864411i	$0.332308\pi$
$504$	−0.0906271	−	0.0180268i	−0.00403685	−	0.000802980i
$505$	−10.6166	−	15.8888i	−0.472431	−	0.707042i
$506$	19.6377	−	39.8212i	0.873001	−	1.77027i
$507$		−	4.07000i		−	0.180755i
$508$	5.87743	+	2.89843i	0.260769	+	0.128597i
$509$	−5.08791	−	18.9884i	−0.225518	−	0.841644i	−0.982196	−	0.187857i	$-0.939846\pi$
$509$	−5.08791	−	18.9884i	−0.225518	−	0.841644i	0.756679	−	0.653787i	$-0.226821\pi$
$510$	−1.20801	−	9.17571i	−0.0534914	−	0.406307i
$511$	2.44680	+	0.160372i	0.108240	+	0.00709443i
$512$	23.4930	+	9.73113i	1.03825	+	0.430059i
$513$	−4.89132	−	3.26827i	−0.215957	−	0.144298i
$514$	1.59981	+	24.4083i	0.0705644	+	1.07661i
$515$	2.88017	−	14.4796i	0.126916	−	0.638048i
$516$	3.44048	−	26.1331i	0.151459	−	1.15044i
$517$	−24.2331	+	3.19035i	−1.06577	+	0.140312i
$518$	−0.841411	+	0.841411i	−0.0369695	+	0.0369695i
$519$	−9.25401	+	13.8496i	−0.406206	+	0.607930i
$520$	4.14112	+	7.17262i	0.181600	+	0.314540i
$521$	10.9622	−	18.9872i	0.480265	−	0.831843i	−0.519479	−	0.854483i	$-0.673874\pi$
$521$	10.9622	−	18.9872i	0.480265	−	0.831843i	0.999744	+	0.0226404i	$0.00720728\pi$
$522$	4.73597	+	9.60360i	0.207288	+	0.420338i
$523$	−6.59523	+	3.25241i	−0.288389	+	0.142218i	−0.580730	−	0.814096i	$-0.697233\pi$
$523$	−6.59523	+	3.25241i	−0.288389	+	0.142218i	0.292340	+	0.956314i	$0.405566\pi$
$524$	−20.4345	−	23.3011i	−0.892687	−	1.01791i
$525$	0.179048	+	0.0607785i	0.00781428	+	0.00265259i
$526$	33.4796	−	2.19437i	1.45978	−	0.0956789i
$527$	1.04764	+	5.26683i	0.0456358	+	0.229427i
$528$	27.4385	−	7.35212i	1.19411	−	0.319960i
$529$	7.16575	+	9.33859i	0.311554	+	0.406026i
$530$	−40.8220	+	27.2764i	−1.77319	+	1.18481i
$531$	1.51501	−	0.301355i	0.0657460	−	0.0130777i
$532$	0.168000	+	0.168000i	0.00728372	+	0.00728372i
$533$	−2.47784	−	1.90132i	−0.107327	−	0.0823552i
$534$	−0.131148	−	0.100633i	−0.00567533	−	0.00435483i
$535$	19.6892	+	19.6892i	0.851238	+	0.851238i
$536$	−1.88225	+	0.374403i	−0.0813008	+	0.0161717i
$537$	1.13354	−	0.757407i	0.0489159	−	0.0326845i
$538$	26.8320	+	34.9681i	1.15681	+	1.50758i
$539$	−26.9725	+	7.22725i	−1.16179	+	0.311300i
$540$	−4.08544	−	20.5389i	−0.175810	−	0.883854i
$541$	−26.8377	+	1.75904i	−1.15384	+	0.0756269i	−0.630285	−	0.776364i	$-0.717062\pi$
$541$	−26.8377	+	1.75904i	−1.15384	+	0.0756269i	−0.523557	+	0.851990i	$0.675395\pi$
$542$	−11.1987	−	3.80144i	−0.481024	−	0.163286i
$543$	−11.9075	−	13.5779i	−0.510998	−	0.582682i
$544$	−8.62219	+	4.25200i	−0.369673	+	0.182303i
$545$	9.48880	+	19.2414i	0.406456	+	0.824211i
$546$	−0.827930	+	1.43402i	−0.0354321	+	0.0613703i
$547$	20.3003	+	35.1612i	0.867979	+	1.50338i	0.864058	+	0.503392i	$0.167915\pi$
$547$	20.3003	+	35.1612i	0.867979	+	1.50338i	0.00392112	+	0.999992i	$0.498752\pi$
$548$	12.5001	−	18.7077i	0.533977	−	0.799153i
$549$	−4.61959	+	4.61959i	−0.197159	+	0.197159i
$550$	6.35558	−	0.836728i	0.271003	−	0.0356782i
$551$	−1.07112	+	8.13598i	−0.0456313	+	0.346604i
$552$	−1.49906	+	7.53630i	−0.0638044	+	0.320766i
$553$	−0.00960262	−	0.146508i	−0.000408345	−	0.00623014i
$554$	−28.0934	−	18.7714i	−1.19358	−	0.797521i
$555$	14.4699	+	5.99361i	0.614211	+	0.254415i
$556$	−26.2584	−	1.72107i	−1.11360	−	0.0729894i
$557$	0.238651	+	1.81273i	0.0101120	+	0.0768080i	0.995757	−	0.0920242i	$-0.0293337\pi$
$557$	0.238651	+	1.81273i	0.0101120	+	0.0768080i	−0.985645	+	0.168832i	$0.946000\pi$
$558$	1.40823	+	5.25557i	0.0596149	+	0.222486i
$559$	−40.3143	−	19.8808i	−1.70511	−	0.840869i
$560$		−	1.67715i		−	0.0708725i
$561$	−3.59854	+	7.29712i	−0.151931	+	0.308085i
$562$	11.5733	+	17.3207i	0.488190	+	0.730628i
$563$	11.8161	+	2.35036i	0.497987	+	0.0990558i	0.437692	−	0.899125i	$-0.355796\pi$
$563$	11.8161	+	2.35036i	0.497987	+	0.0990558i	0.0602949	+	0.998181i	$0.480796\pi$
$564$	−13.1117	+	5.43104i	−0.552102	+	0.228688i
$565$	−26.3411	+	8.94160i	−1.10818	+	0.376176i
$566$	10.2660	+	5.92705i	0.431510	+	0.249132i
$567$	−0.697033	+	0.611282i	−0.0292726	+	0.0256714i
$568$	3.51312	+	10.3493i	0.147407	+	0.434248i
$569$	−4.52277	−	3.96637i	−0.189605	−	0.166279i	0.559281	−	0.828978i	$-0.311077\pi$
$569$	−4.52277	−	3.96637i	−0.189605	−	0.166279i	−0.748885	+	0.662699i	$0.769411\pi$
$570$	2.75011	−	6.63935i	0.115189	−	0.278092i
$571$	15.5997	−	20.3299i	0.652826	−	0.850780i	−0.343253	−	0.939243i	$-0.611529\pi$
$571$	15.5997	−	20.3299i	0.652826	−	0.850780i	0.996079	+	0.0884630i	$0.0281955\pi$
$572$	−1.59771	+	24.3763i	−0.0668036	+	1.01923i
$573$	21.7140	+	5.81824i	0.907114	+	0.243061i
$574$	0.0836000	+	0.201828i	0.00348940	+	0.00842415i
$575$	−1.61369	+	4.75377i	−0.0672954	+	0.198246i
$576$	−2.51578	+	1.45249i	−0.104824	+	0.0605203i
$577$	12.1317	−	13.8336i	0.505051	−	0.575900i	−0.441987	−	0.897021i	$-0.645726\pi$
$577$	12.1317	−	13.8336i	0.505051	−	0.575900i	0.947038	+	0.321121i	$0.104060\pi$
$578$	−7.39388	+	27.5943i	−0.307545	+	1.14777i
$579$	−32.4088	−	4.26670i	−1.34686	−	0.177318i
$580$	−23.1757	+	17.7833i	−0.962317	+	0.738411i
$581$	−1.88175			−0.0780681
$582$	9.82289	−	26.1633i	0.407172	−	1.08450i
$583$	43.1616			1.78757
$584$	−11.4139	+	8.75817i	−0.472309	+	0.362416i
$585$	−6.89901	−	0.908272i	−0.285239	−	0.0375524i
$586$	−11.3103	+	42.2107i	−0.467225	+	1.74371i
$587$	−26.1675	+	29.8383i	−1.08005	+	1.23156i	−0.108653	+	0.994080i	$0.534654\pi$
$587$	−26.1675	+	29.8383i	−1.08005	+	1.23156i	−0.971393	+	0.237477i	$0.923679\pi$
$588$	−14.0414	+	8.10679i	−0.579057	+	0.334319i
$589$	−1.34033	+	3.94850i	−0.0552275	+	0.162695i
$590$	3.70600	+	8.94707i	0.152573	+	0.368345i
$591$	33.1741	+	8.88897i	1.36460	+	0.365644i
$592$	1.32198	−	20.1695i	0.0543329	−	0.828960i
$593$	0.654131	−	0.852480i	0.0268619	−	0.0350072i	−0.779729	−	0.626117i	$-0.784643\pi$
$593$	0.654131	−	0.852480i	0.0268619	−	0.0350072i	0.806591	+	0.591110i	$0.201310\pi$
$594$	−16.1903	+	39.0867i	−0.664294	+	1.60375i
$595$	0.361162	+	0.316731i	0.0148062	+	0.0129847i
$596$	5.74728	+	16.9309i	0.235418	+	0.693518i
$597$	−13.0744	+	11.4659i	−0.535098	+	0.469268i
$598$	−38.0736	−	21.9818i	−1.55695	−	0.898903i
$599$	−11.7801	+	3.99881i	−0.481323	+	0.163387i	−0.551546	−	0.834144i	$-0.685962\pi$
$599$	−11.7801	+	3.99881i	−0.481323	+	0.163387i	0.0702236	+	0.997531i	$0.477629\pi$
$600$	−1.02495	+	0.424548i	−0.0418434	+	0.0173321i
$601$	−39.3972	−	7.83659i	−1.60705	−	0.319661i	−0.691655	−	0.722228i	$-0.743118\pi$
$601$	−39.3972	−	7.83659i	−1.60705	−	0.319661i	−0.915391	+	0.402567i	$0.868118\pi$
$602$	1.74673	+	2.61417i	0.0711916	+	0.106546i
$603$	0.713149	−	1.44612i	0.0290417	−	0.0588907i
$604$		−	24.9343i		−	1.01456i
$605$	−10.8741	−	5.36253i	−0.442097	−	0.218018i
$606$	5.80168	+	21.6522i	0.235677	+	0.879559i
$607$	1.38743	+	10.5386i	0.0563141	+	0.427748i	0.996259	+	0.0864209i	$0.0275430\pi$
$607$	1.38743	+	10.5386i	0.0563141	+	0.427748i	−0.939945	+	0.341327i	$0.889124\pi$
$608$	−7.44895	−	0.488230i	−0.302095	−	0.0198003i
$609$	1.60826	+	0.666161i	0.0651698	+	0.0269942i
$610$	−34.0555	−	22.7552i	−1.37887	−	0.921329i
$611$	1.58288	+	24.1501i	0.0640366	+	0.977009i
$612$	0.294258	−	1.47933i	0.0118947	−	0.0597986i
$613$	−2.59485	+	19.7098i	−0.104805	+	0.796072i	0.855634	+	0.517581i	$0.173167\pi$
$613$	−2.59485	+	19.7098i	−0.104805	+	0.796072i	−0.960439	+	0.278491i	$0.910166\pi$
$614$	−12.8120	+	1.68673i	−0.517049	+	0.0680708i
$615$	2.03319	−	2.03319i	0.0819860	−	0.0819860i
$616$	−0.282941	+	0.423451i	−0.0114000	+	0.0170613i
$617$	7.73254	+	13.3932i	0.311300	+	0.539188i	0.978644	−	0.205562i	$-0.0659022\pi$
$617$	7.73254	+	13.3932i	0.311300	+	0.539188i	−0.667344	+	0.744750i	$0.732569\pi$
$618$	−8.65896	+	14.9978i	−0.348314	+	0.603298i
$619$	−13.2898	−	26.9491i	−0.534163	−	1.08317i	−0.981969	−	0.189044i	$-0.939461\pi$
$619$	−13.2898	−	26.9491i	−0.534163	−	1.08317i	0.447806	−	0.894131i	$-0.352205\pi$
$620$	−13.3128	+	6.56514i	−0.534654	+	0.263662i
$621$	−21.8454	−	24.9099i	−0.876627	−	0.999602i
$622$	23.5092	+	7.98029i	0.942632	+	0.319981i
$623$	0.00856190		0.000561176i	0.000343025		2.24831e-5i
$624$	−5.48733	−	27.5867i	−0.219669	−	1.10435i
$625$	27.5598	−	7.38462i	1.10239	−	0.295385i
$626$	−0.319243	−	0.416046i	−0.0127595	−	0.0166285i
$627$	−5.25299	+	3.50993i	−0.209784	+	0.140173i
$628$	25.0904	−	4.99080i	1.00122	−	0.199154i
$629$	4.09369	+	4.09369i	0.163226	+	0.163226i
$630$	0.386140	+	0.296295i	0.0153842	+	0.0118047i
$631$	−10.5677	−	8.10884i	−0.420692	−	0.322808i	0.376629	−	0.926364i	$-0.377083\pi$
$631$	−10.5677	−	8.10884i	−0.420692	−	0.322808i	−0.797320	+	0.603556i	$0.793750\pi$
$632$	0.609134	+	0.609134i	0.0242300	+	0.0242300i
$633$	−9.27589	+	1.84509i	−0.368684	+	0.0733357i
$634$	23.7918	−	15.8972i	0.944892	−	0.631357i
$635$	6.26319	+	8.16235i	0.248547	+	0.323913i
$636$	24.2071	−	6.48628i	0.959875	−	0.257198i
$637$	5.39413	+	27.1181i	0.213723	+	1.07446i
$638$	58.8905	−	3.85988i	2.33150	−	0.152814i
$639$	−8.69526	−	2.95164i	−0.343979	−	0.116765i
$640$	10.7353	+	12.2412i	0.424348	+	0.483876i
$641$	8.38353	−	4.13430i	0.331130	−	0.163295i	−0.269122	−	0.963106i	$-0.586734\pi$
$641$	8.38353	−	4.13430i	0.331130	−	0.163295i	0.600252	+	0.799811i	$0.295067\pi$
$642$	−14.4465	−	29.2945i	−0.570156	−	1.15616i
$643$	−10.8027	+	18.7108i	−0.426016	+	0.737881i	−0.996515	−	0.0834176i	$-0.973416\pi$
$643$	−10.8027	+	18.7108i	−0.426016	+	0.737881i	0.570499	+	0.821298i	$0.306750\pi$
$644$	0.669055	+	1.15884i	0.0263645	+	0.0456646i
$645$	22.9907	−	34.4080i	0.905258	−	1.35481i
$646$	1.87835	−	1.87835i	0.0739027	−	0.0739027i
$647$	27.3659	−	3.60279i	1.07587	−	0.141640i	0.428290	−	0.903642i	$-0.359116\pi$
$647$	27.3659	−	3.60279i	1.07587	−	0.141640i	0.647576	+	0.762001i	$0.275783\pi$
$648$	0.710006	−	5.39303i	0.0278917	−	0.211858i
$649$	1.66093	−	8.35005i	0.0651971	−	0.327768i
$650$	−0.415140	−	6.33381i	−0.0162831	−	0.248433i
$651$	0.735459	+	0.491418i	0.0288249	+	0.0192602i
$652$	14.2311	+	5.89472i	0.557334	+	0.230855i
$653$	34.9786	+	2.29262i	1.36882	+	0.0897172i	0.732005	−	0.681299i	$-0.238585\pi$
$653$	34.9786	+	2.29262i	1.36882	+	0.0897172i	0.636815	+	0.771017i	$0.280251\pi$
$654$	−3.28485	−	24.9509i	−0.128448	−	0.975659i
$655$	−12.5933	−	46.9989i	−0.492061	−	1.83640i
$656$	−3.32812	−	1.64125i	−0.129941	−	0.0640800i
$657$		−	12.0875i		−	0.471579i
$658$	0.748713	−	1.51824i	0.0291879	−	0.0591872i
$659$	8.85871	+	13.2580i	0.345086	+	0.516458i	0.962897	−	0.269869i	$-0.0869803\pi$
$659$	8.85871	+	13.2580i	0.345086	+	0.516458i	−0.617811	+	0.786327i	$0.711980\pi$
$660$	−22.0576	−	4.38753i	−0.858590	−	0.170784i
$661$	9.39753	−	3.89259i	0.365522	−	0.151404i	−0.192360	−	0.981324i	$-0.561614\pi$
$661$	9.39753	−	3.89259i	0.365522	−	0.151404i	0.557882	+	0.829920i	$0.311614\pi$
$662$	3.46380	−	1.17580i	0.134624	−	0.0456988i
$663$	6.97687	+	4.02810i	0.270959	+	0.156438i
$664$	8.30087	−	7.27967i	0.322136	−	0.282506i
$665$	0.119899	+	0.353211i	0.00464948	+	0.0136969i
$666$	4.41018	+	3.86762i	0.170891	+	0.149867i
$667$	−17.6868	+	42.6997i	−0.684835	+	1.65334i
$668$	−17.8246	+	23.2295i	−0.689655	+	0.898776i
$669$	0.809820	−	12.3555i	0.0313094	−	0.477690i
$670$	9.76429	+	2.61633i	0.377228	+	0.101078i
$671$	13.7794	+	33.2664i	0.531948	+	1.28424i
$672$	−0.509007	+	1.49949i	−0.0196354	+	0.0578439i
$673$	39.9125	−	23.0435i	1.53851	−	0.888262i	0.539589	−	0.841929i	$-0.318580\pi$
$673$	39.9125	−	23.0435i	1.53851	−	0.888262i	0.998926	−	0.0463330i	$-0.0147535\pi$
$674$	7.28158	−	8.30305i	0.280476	−	0.319822i
$675$	1.23807	−	4.62055i	0.0476535	−	0.177845i
$676$	4.12294	+	0.542795i	0.158575	+	0.0208767i
$677$	−15.1083	+	11.5930i	−0.580658	+	0.445554i	−0.856863	−	0.515544i	$-0.827590\pi$
$677$	−15.1083	+	11.5930i	−0.580658	+	0.445554i	0.276205	+	0.961099i	$0.410923\pi$
$678$	32.6309			1.25318
$679$	0.512059	+	1.35716i	0.0196510	+	0.0520831i
$680$	−2.81847			−0.108083
$681$	−22.5503	+	17.3035i	−0.864130	+	0.663070i
$682$	29.7315	+	3.91423i	1.13848	+	0.149883i
$683$	2.45937	−	9.17849i	0.0941051	−	0.351205i	−0.902777	−	0.430109i	$-0.858475\pi$
$683$	2.45937	−	9.17849i	0.0941051	−	0.351205i	0.996882	+	0.0789036i	$0.0251419\pi$
$684$	0.772227	−	0.880556i	0.0295268	−	0.0336689i
$685$	30.5912	−	17.6618i	1.16883	−	0.674824i
$686$	1.24523	−	3.66833i	0.0475431	−	0.140057i
$687$	3.28910	+	7.94060i	0.125487	+	0.302953i
$688$	−51.5862	−	13.8225i	−1.96671	−	0.526977i
$689$	2.79515	−	42.6457i	0.106487	−	1.62467i
$690$	24.6391	−	32.1103i	0.937995	−	1.22242i
$691$	10.1298	−	24.4556i	0.385357	−	0.930334i	−0.605552	−	0.795805i	$-0.707048\pi$
$691$	10.1298	−	24.4556i	0.385357	−	0.930334i	0.990910	−	0.134529i	$-0.0429522\pi$
$692$	−12.7956	−	11.2214i	−0.486415	−	0.426575i
$693$	−0.137539	−	0.405178i	−0.00522469	−	0.0153914i
$694$	−30.9691	+	27.1592i	−1.17557	+	1.03095i
$695$	−35.7784	−	20.6567i	−1.35715	−	0.783553i
$696$	−9.67150	+	3.28303i	−0.366597	+	0.124443i
$697$	0.981949	−	0.406736i	0.0371940	−	0.0154062i
$698$	−24.0209	−	4.77806i	−0.909206	−	0.180852i
$699$	0.884705	+	1.32405i	0.0334626	+	0.0500803i
$700$	−0.0854477	+	0.173271i	−0.00322962	+	0.00654902i
$701$		−	35.9150i		−	1.35649i	−0.734835	−	0.678246i	$-0.762740\pi$
$701$		−	35.9150i		−	1.35649i	0.734835	−	0.678246i	$-0.237260\pi$
$702$	37.5711	+	18.5280i	1.41803	+	0.699295i
$703$	1.16350	+	4.34223i	0.0438821	+	0.163770i
$704$	2.08984	+	15.8739i	0.0787637	+	0.598270i
$705$	−22.2333	−	1.45725i	−0.837355	−	0.0548832i
$706$	−2.66354	−	1.10327i	−0.100244	−	0.0415223i
$707$	−0.967408	−	0.646401i	−0.0363831	−	0.0243104i
$708$	−0.323308	−	4.93272i	−0.0121506	−	0.185383i
$709$	5.03930	−	25.3343i	0.189255	−	0.951449i	−0.763059	−	0.646329i	$-0.776303\pi$
$709$	5.03930	−	25.3343i	0.189255	−	0.951449i	0.952314	−	0.305120i	$-0.0986966\pi$
$710$	7.51424	−	57.0763i	0.282004	−	2.14204i
$711$	−0.717575	+	0.0944705i	−0.0269112	+	0.00354292i
$712$	−0.0355977	+	0.0355977i	−0.00133408	+	0.00133408i
$713$	−13.0473	+	19.5267i	−0.488625	+	0.731280i
$714$	−0.281747	−	0.488000i	−0.0105441	−	0.0182630i
$715$	−19.1761	+	33.2140i	−0.717146	+	1.24213i
$716$	0.616085	+	1.24930i	0.0230242	+	0.0466884i
$717$	−6.45063	+	3.18110i	−0.240903	+	0.118800i
$718$	28.6835	+	32.7073i	1.07046	+	1.22063i
$719$	−2.47805	−	0.841185i	−0.0924157	−	0.0313709i	0.274849	−	0.961487i	$-0.411372\pi$
$719$	−2.47805	−	0.841185i	−0.0924157	−	0.0313709i	−0.367264	+	0.930117i	$0.619706\pi$
$720$	−8.24990	+	0.540727i	−0.307456	+	0.0201517i
$721$	−0.175363	−	0.881608i	−0.00653085	−	0.0328328i
$722$	−32.5415	+	8.71948i	−1.21107	+	0.324505i
$723$	3.30271	+	4.30417i	0.122829	+	0.160074i
$724$	15.3425	−	10.2515i	0.570200	−	0.380995i
$725$	−6.54464	+	1.30181i	−0.243062	+	0.0483480i
$726$	10.0568	+	10.0568i	0.373245	+	0.373245i
$727$	−15.9274	−	12.2215i	−0.590714	−	0.453271i	0.269645	−	0.962960i	$-0.413094\pi$
$727$	−15.9274	−	12.2215i	−0.590714	−	0.453271i	−0.860359	+	0.509689i	$0.829760\pi$
$728$	0.400067	+	0.306982i	0.0148275	+	0.0113775i
$729$	21.2053	+	21.2053i	0.785382	+	0.785382i
$730$	74.3248	−	14.7841i	2.75088	−	0.547185i
$731$	12.7186	−	8.49833i	0.470416	−	0.314322i
$732$	12.7274	+	16.5867i	0.470419	+	0.613061i
$733$	0.898842	−	0.240844i	0.0331995	−	0.00889577i	−0.242181	−	0.970231i	$-0.577863\pi$
$733$	0.898842	−	0.240844i	0.0331995	−	0.00889577i	0.275381	+	0.961335i	$0.411196\pi$
$734$	−0.961710	−	4.83484i	−0.0354974	−	0.178457i
$735$	−25.4004	+	1.66483i	−0.936907	+	0.0614081i
$736$	−39.8118	−	13.5143i	−1.46748	−	0.498143i
$737$	−5.85949	−	6.68147i	−0.215837	−	0.246115i
$738$	0.965840	−	0.476300i	0.0355531	−	0.0175328i
$739$	18.8419	+	38.2077i	0.693112	+	1.40549i	0.903807	+	0.427941i	$0.140761\pi$
$739$	18.8419	+	38.2077i	0.693112	+	1.40549i	−0.210694	+	0.977552i	$0.567573\pi$
$740$	−8.00134	+	13.8587i	−0.294135	+	0.509457i
$741$	3.12780	+	5.41751i	0.114903	+	0.199017i
$742$	−1.66075	+	2.48549i	−0.0609681	+	0.0912453i
$743$	−29.4215	+	29.4215i	−1.07937	+	1.07937i	−0.0828054	+	0.996566i	$0.526388\pi$
$743$	−29.4215	+	29.4215i	−1.07937	+	1.07937i	−0.996566	+	0.0828054i	$0.973612\pi$
$744$	−5.14538	+	0.677402i	−0.188639	+	0.0248348i
$745$	−3.66398	+	27.8307i	−0.134238	+	1.01964i
$746$	−11.4699	+	57.6629i	−0.419941	+	2.11119i
$747$	0.606691	+	9.25632i	0.0221977	+	0.338671i
$748$	−6.91212	−	4.61853i	−0.252732	−	0.168870i
$749$	1.56631	+	0.648785i	0.0572316	+	0.0237061i
$750$	−28.4148	−	1.86240i	−1.03756	−	0.0680054i
$751$	−6.77449	−	51.4574i	−0.247205	−	1.87771i	−0.442220	−	0.896907i	$-0.645809\pi$
$751$	−6.77449	−	51.4574i	−0.247205	−	1.87771i	0.195015	−	0.980800i	$-0.437524\pi$
$752$	7.44231	+	27.7751i	0.271393	+	1.01285i
$753$	−18.7484	−	9.24569i	−0.683230	−	0.336932i
$754$		−	58.4366i		−	2.12814i
$755$	17.3139	−	35.1090i	0.630116	−	1.27775i
$756$	−0.708371	−	1.06015i	−0.0257632	−	0.0385574i
$757$	25.4213	+	5.05662i	0.923954	+	0.183786i	0.634070	−	0.773276i	$-0.281383\pi$
$757$	25.4213	+	5.05662i	0.923954	+	0.183786i	0.289884	+	0.957062i	$0.406383\pi$
$758$	−28.6379	+	11.8622i	−1.04018	+	0.430855i
$759$	−33.6935	+	11.4374i	−1.22300	+	0.415151i
$760$	−1.89532	−	1.09426i	−0.0687505	−	0.0396931i
$761$	25.4121	−	22.2858i	0.921187	−	0.807859i	−0.0605381	−	0.998166i	$-0.519282\pi$
$761$	25.4121	−	22.2858i	0.921187	−	0.807859i	0.981725	+	0.190307i	$0.0609483\pi$
$762$	−3.87936	−	11.4282i	−0.140534	−	0.414001i
$763$	0.982086	+	0.861266i	0.0355539	+	0.0311799i
$764$	−8.78981	+	21.2205i	−0.318004	+	0.767730i
$765$	1.44156	−	1.87867i	0.0521196	−	0.0679235i
$766$	2.27644	−	34.7318i	0.0822511	−	1.25491i
$767$	−8.14269	−	2.18183i	−0.294016	−	0.0787813i
$768$	−11.9268	−	28.7940i	−0.430373	−	1.03901i
$769$	5.33635	−	15.7204i	0.192434	−	0.566892i	−0.807296	−	0.590147i	$-0.799070\pi$
$769$	5.33635	−	15.7204i	0.192434	−	0.566892i	0.999730	+	0.0232555i	$0.00740311\pi$
$770$	2.32317	−	1.34128i	0.0837212	−	0.0483365i
$771$	12.9249	−	14.7380i	0.465478	−	0.530775i
$772$	8.64440	−	32.2613i	0.311119	−	1.16111i
$773$	37.6710	+	4.95948i	1.35493	+	0.178380i	0.772767	−	0.634690i	$-0.218872\pi$
$773$	37.6710	+	4.95948i	1.35493	+	0.178380i	0.582165	+	0.813070i	$0.302206\pi$
$774$	12.2959	−	9.43501i	0.441969	−	0.339135i
$775$	−3.39066			−0.121796
$776$	−7.50909	−	4.00585i	−0.269561	−	0.143802i
$777$	0.953602			0.0342103
$778$	−1.34973	+	1.03568i	−0.0483901	+	0.0371310i
$779$	0.818241	+	0.107723i	0.0293165	+	0.00385959i
$780$	−5.76354	+	21.5098i	−0.206368	+	0.770175i
$781$	−33.3696	+	38.0507i	−1.19406	+	1.36156i
$782$	12.9566	−	7.48048i	0.463326	−	0.267501i
$783$	14.1559	−	41.7020i	0.505892	−	1.49031i
$784$	12.5715	+	30.3503i	0.448982	+	1.08394i
$785$	38.7945	+	10.3949i	1.38463	+	0.371011i
$786$	−3.73297	+	56.9542i	−0.133151	+	2.03149i
$787$	−26.0728	+	33.9788i	−0.929396	+	1.21121i	0.0477959	+	0.998857i	$0.484780\pi$
$787$	−26.0728	+	33.9788i	−0.929396	+	1.21121i	−0.977192	+	0.212356i	$0.931886\pi$
$788$	−13.4289	+	32.4201i	−0.478383	+	1.15492i
$789$	−20.2153	−	17.7283i	−0.719683	−	0.631145i
$790$	−1.45855	−	4.29674i	−0.0518928	−	0.152871i
$791$	−1.27339	+	1.11673i	−0.0452764	+	0.0397063i
$792$	2.17418	+	1.25526i	0.0772560	+	0.0446038i
$793$	33.7612	−	11.4604i	1.19889	−	0.406970i
$794$	−12.6126	+	5.22429i	−0.447603	+	0.185403i
$795$	38.5892	+	7.67586i	1.36862	+	0.272235i
$796$	−9.87139	−	14.7736i	−0.349882	−	0.523635i
$797$	15.5427	−	31.5174i	0.550549	−	1.11640i	−0.426716	−	0.904385i	$-0.640330\pi$
$797$	15.5427	−	31.5174i	0.550549	−	1.11640i	0.977266	−	0.212018i	$-0.0680036\pi$
$798$		−	0.437551i		−	0.0154891i
$799$	−7.38664	−	3.64269i	−0.261321	−	0.128869i
$800$	−1.57106	−	5.86328i	−0.0555454	−	0.207298i
$801$	−0.00552085	−	0.0419350i	−0.000195070	−	0.00148170i
$802$	2.25481	+	0.147788i	0.0796202	+	0.00521858i
$803$	−61.5496	−	25.4947i	−2.17204	−	0.899687i
$804$	−4.29038	−	2.86674i	−0.151310	−	0.101102i
$805$	0.137399	+	2.09630i	0.00484266	+	0.0738848i
$806$	5.79286	−	29.1227i	0.204045	−	1.02580i
$807$	4.61049	−	35.0201i	0.162297	−	1.23277i
$808$	6.76812	−	0.891040i	0.238102	−	0.0313467i
$809$	−32.9637	+	32.9637i	−1.15894	+	1.15894i	−0.174238	+	0.984703i	$0.555746\pi$
$809$	−32.9637	+	32.9637i	−1.15894	+	1.15894i	−0.984703	+	0.174238i	$0.944254\pi$
$810$	−15.9183	+	23.8235i	−0.559313	+	0.837071i
$811$	6.87261	+	11.9037i	0.241330	+	0.417996i	0.961093	−	0.276224i	$-0.0890830\pi$
$811$	6.87261	+	11.9037i	0.241330	+	0.417996i	−0.719763	+	0.694220i	$0.755750\pi$
$812$	−0.889311	+	1.54033i	−0.0312087	+	0.0540551i
$813$	4.19178	+	8.50008i	0.147012	+	0.298111i
$814$	28.9957	−	14.2991i	1.01630	−	0.501184i
$815$	15.9452	+	18.1820i	0.558535	+	0.636887i
$816$	9.06378	+	3.07674i	0.317296	+	0.107707i
$817$	11.8523	−	0.776841i	0.414659	−	0.0271782i
$818$	8.10477	+	40.7454i	0.283377	+	1.42463i
$819$	−0.409242	+	0.109656i	−0.0143001	+	0.00383170i
$820$	1.78848	+	2.33079i	0.0624563	+	0.0813947i
$821$	34.3447	−	22.9484i	1.19864	−	0.800904i	0.214226	−	0.976784i	$-0.431277\pi$
$821$	34.3447	−	22.9484i	1.19864	−	0.800904i	0.984412	+	0.175880i	$0.0562771\pi$
$822$	−40.6399	+	8.08377i	−1.41748	+	0.281954i
$823$	16.7927	+	16.7927i	0.585358	+	0.585358i	0.936371	−	0.351013i	$-0.114163\pi$
$823$	16.7927	+	16.7927i	0.585358	+	0.585358i	−0.351013	+	0.936371i	$0.614163\pi$
$824$	4.18412	+	3.21059i	0.145761	+	0.111846i
$825$	−4.07565	−	3.12736i	−0.141896	−	0.108881i
$826$	0.416935	+	0.416935i	0.0145070	+	0.0145070i
$827$	−24.7955	+	4.93214i	−0.862225	+	0.171507i	−0.606345	−	0.795202i	$-0.707365\pi$
$827$	−24.7955	+	4.93214i	−0.862225	+	0.171507i	−0.255880	+	0.966709i	$0.582365\pi$
$828$	5.48461	−	3.66470i	0.190603	−	0.127357i
$829$	15.4260	+	20.1036i	0.535768	+	0.698226i	0.980295	−	0.197539i	$-0.0632950\pi$
$829$	15.4260	+	20.1036i	0.535768	+	0.698226i	−0.444527	+	0.895765i	$0.646628\pi$
$830$	−56.1741	+	15.0518i	−1.94983	+	0.522455i
$831$	5.28248	+	26.5568i	0.183247	+	0.921246i
$832$	15.8195	−	1.03687i	0.548443	−	0.0359469i
$833$	−8.90984	−	3.02448i	−0.308708	−	0.104792i
$834$	31.9534	+	36.4358i	1.10645	+	1.26167i
$835$	−41.2283	+	20.3316i	−1.42677	+	0.703603i
$836$	−2.85502	−	5.78942i	−0.0987431	−	0.200231i
$837$	11.1888	−	19.3795i	0.386740	−	0.669853i
$838$	−12.3551	−	21.3997i	−0.426801	−	0.739241i
$839$	−14.3384	+	21.4589i	−0.495017	+	0.740845i	−0.991907	−	0.126969i	$-0.959475\pi$
$839$	−14.3384	+	21.4589i	−0.495017	+	0.740845i	0.496890	+	0.867813i	$0.334475\pi$
$840$	−0.328273	+	0.328273i	−0.0113265	+	0.0113265i
$841$	−32.1554	+	4.23334i	−1.10881	+	0.145977i
$842$	5.82246	−	44.2260i	0.200655	−	1.52413i
$843$	3.25685	−	16.3733i	0.112172	−	0.563926i
$844$	−0.632011	−	9.64262i	−0.0217547	−	0.331913i
$845$	5.42846	+	3.62718i	0.186745	+	0.124779i
$846$	−7.70961	−	3.19343i	−0.265062	−	0.109792i
$847$	−0.736634	−	0.0482815i	−0.0253110	−	0.00165897i
$848$	−6.62774	−	50.3427i	−0.227597	−	1.72877i
$849$	−2.45872	−	9.17606i	−0.0843830	−	0.314922i
$850$	1.93728	+	0.955362i	0.0664482	+	0.0327686i
$851$			25.3184i			0.867905i
$852$	−12.9971	+	26.3554i	−0.445272	+	0.902923i
$853$	−17.9236	−	26.8246i	−0.613692	−	0.918456i	0.386300	−	0.922373i	$-0.373753\pi$
$853$	−17.9236	−	26.8246i	−0.613692	−	0.918456i	−0.999992	+	0.00391756i	$0.998753\pi$
$854$	−2.44587	−	0.486514i	−0.0836959	−	0.0166482i
$855$	1.69879	−	0.703660i	0.0580973	−	0.0240647i
$856$	−9.41924	+	3.19740i	−0.321943	+	0.109285i
$857$	−14.7813	−	8.53399i	−0.504920	−	0.291516i	0.225823	−	0.974168i	$-0.427493\pi$
$857$	−14.7813	−	8.53399i	−0.504920	−	0.291516i	−0.730743	+	0.682653i	$0.760826\pi$
$858$	33.8243	−	29.6631i	1.15474	−	1.01268i
$859$	16.9115	+	49.8198i	0.577014	+	1.69983i	0.706026	+	0.708186i	$0.250486\pi$
$859$	16.9115	+	49.8198i	0.577014	+	1.69983i	−0.129011	+	0.991643i	$0.541180\pi$
$860$	31.7894	+	27.8786i	1.08401	+	0.950652i
$861$	0.0669962	−	0.161743i	0.00228323	−	0.00551219i
$862$	−22.5496	+	29.3872i	−0.768041	+	1.00093i
$863$	−2.55052	+	38.9134i	−0.0868206	+	1.32463i	0.702957	+	0.711233i	$0.251863\pi$
$863$	−2.55052	+	38.9134i	−0.0868206	+	1.32463i	−0.789777	+	0.613394i	$0.789804\pi$
$864$	38.6961	+	10.3686i	1.31647	+	0.352747i
$865$	−10.2251	−	24.6855i	−0.347663	−	0.839332i
$866$	−15.3501	+	45.2198i	−0.521616	+	1.53663i
$867$	19.8267	−	11.4470i	0.673351	−	0.388759i
$868$	−0.595895	+	0.679488i	−0.0202260	+	0.0230633i
$869$	−1.03245	+	3.85314i	−0.0350233	+	0.130709i
$870$	53.3382	+	7.02211i	1.80833	+	0.238072i
$871$	−6.98108	+	5.35677i	−0.236545	+	0.181507i
$872$	−7.66409			−0.259539
$873$	6.51079	−	2.95638i	0.220357	−	0.100058i
$874$	11.6171			0.392955
$875$	1.17259	−	0.899763i	0.0396409	−	0.0304175i
$876$	−38.3513	−	5.04905i	−1.29577	−	0.170592i
$877$	13.7667	−	51.3782i	0.464870	−	1.73492i	−0.192451	−	0.981307i	$-0.561644\pi$
$877$	13.7667	−	51.3782i	0.464870	−	1.73492i	0.657321	−	0.753611i	$-0.271690\pi$
$878$	28.9047	−	32.9595i	0.975488	−	1.11233i
$879$	30.3287	−	17.5103i	1.02296	−	0.590607i
$880$	−14.6471	+	43.1489i	−0.493753	+	1.45455i
$881$	14.2138	+	34.3151i	0.478874	+	1.15610i	0.960137	+	0.279529i	$0.0901782\pi$
$881$	14.2138	+	34.3151i	0.478874	+	1.15610i	−0.481263	+	0.876576i	$0.659822\pi$
$882$	−9.20867	−	2.46745i	−0.310072	−	0.0830835i
$883$	0.385128	−	5.87592i	0.0129606	−	0.197740i	−0.986468	−	0.163952i	$-0.947576\pi$
$883$	0.385128	−	5.87592i	0.0129606	−	0.197740i	0.999429	−	0.0337889i	$-0.0107574\pi$
$884$	−5.01097	+	6.53042i	−0.168537	+	0.219642i
$885$	2.96995	−	7.17009i	0.0998337	−	0.241020i
$886$	−52.4961	−	46.0378i	−1.76364	−	1.54667i
$887$	4.80222	+	14.1469i	0.161243	+	0.475005i	0.997283	−	0.0736621i	$-0.0234686\pi$
$887$	4.80222	+	14.1469i	0.161243	+	0.475005i	−0.836041	+	0.548668i	$0.815135\pi$
$888$	−4.20658	+	3.68907i	−0.141164	+	0.123797i
$889$	0.542497	+	0.313211i	0.0181948	+	0.0105048i
$890$	0.251101	−	0.0852374i	0.00841693	−	0.00285716i
$891$	23.2715	−	9.63935i	0.779623	−	0.322930i
$892$	12.4082	+	2.46814i	0.415456	+	0.0826394i
$893$	−3.55299	−	5.31743i	−0.118896	−	0.177941i
$894$	14.5638	−	29.5324i	0.487085	−	0.987710i
$895$			2.18689i			0.0730996i
$896$	0.889095	+	0.438453i	0.0297026	+	0.0146477i
$897$	9.11871	+	34.0315i	0.304465	+	1.13628i
$898$	3.29392	+	25.0198i	0.109920	+	0.834922i
$899$	−31.1489	−	2.04161i	−1.03887	−	0.0680914i
$900$	0.879868	+	0.364453i	0.0293289	+	0.0121484i
$901$	12.0926	+	8.08000i	0.402862	+	0.269184i
$902$	−0.388191	−	5.92265i	−0.0129253	−	0.197203i
$903$	0.491550	−	2.47119i	0.0163578	−	0.0822360i
$904$	1.29709	−	9.85234i	0.0431404	−	0.327684i
$905$	28.7217	−	3.78128i	0.954742	−	0.125694i
$906$	−32.4703	+	32.4703i	−1.07875	+	1.07875i
$907$	17.7255	−	26.5280i	0.588565	−	0.880849i	−0.410961	−	0.911653i	$-0.634807\pi$
$907$	17.7255	−	26.5280i	0.588565	−	0.880849i	0.999525	+	0.0308037i	$0.00980667\pi$
$908$	−14.5211	−	25.1513i	−0.481900	−	0.834675i
$909$	−2.86775	+	4.96708i	−0.0951171	+	0.164748i
$910$	−1.17480	−	2.38227i	−0.0389444	−	0.0789714i
$911$	−32.0376	+	15.7992i	−1.06145	+	0.523450i	−0.887264	−	0.461262i	$-0.847397\pi$
$911$	−32.0376	+	15.7992i	−1.06145	+	0.523450i	−0.174188	+	0.984712i	$0.555730\pi$
$912$	4.90054	+	5.58799i	0.162273	+	0.185037i
$913$	48.4128	+	16.4339i	1.60223	+	0.543883i
$914$	−22.7364	+	1.49022i	−0.752054	+	0.0492922i
$915$	6.40354	+	32.1928i	0.211695	+	1.06426i
$916$	−8.48254	+	2.27289i	−0.280271	+	0.0750984i
$917$	−1.80347	−	2.35033i	−0.0595559	−	0.0776147i
$918$	−11.8532	+	7.92005i	−0.391214	+	0.261401i
$919$	1.14772	−	0.228296i	0.0378598	−	0.00753079i	−0.176124	−	0.984368i	$-0.556356\pi$
$919$	1.14772	−	0.228296i	0.0378598	−	0.00753079i	0.213984	+	0.976837i	$0.431356\pi$
$920$	−8.71576	−	8.71576i	−0.287350	−	0.287350i
$921$	8.21595	+	6.30432i	0.270725	+	0.207734i
$922$	4.28264	+	3.28618i	0.141041	+	0.108225i
$923$	35.4349	+	35.4349i	1.16635	+	1.16635i
$924$	−1.34300	+	0.267139i	−0.0441815	+	0.00878824i
$925$	−3.03939	+	2.03085i	−0.0999344	+	0.0667741i
$926$	6.46312	+	8.42290i	0.212391	+	0.276794i
$927$	−4.28009	+	1.14685i	−0.140577	+	0.0376674i
$928$	−10.9024	−	54.8100i	−0.357888	−	1.79923i
$929$	56.5605	−	3.70717i	1.85569	−	0.121628i	0.903778	−	0.428001i	$-0.140782\pi$
$929$	56.5605	−	3.70717i	1.85569	−	0.121628i	0.951912	+	0.306373i	$0.0991154\pi$
$930$	25.8857	+	8.78702i	0.848826	+	0.288138i
$931$	−4.81731	−	5.49309i	−0.157881	−	0.180029i
$932$	−1.45927	+	0.719630i	−0.0477998	+	0.0235723i
$933$	−8.79973	−	17.8441i	−0.288090	−	0.584189i
$934$	−9.46625	+	16.3960i	−0.309745	+	0.536495i
$935$	−6.52570	−	11.3028i	−0.213413	−	0.369642i
$936$	1.38106	−	2.06690i	0.0451413	−	0.0675588i
$937$	−9.23446	+	9.23446i	−0.301677	+	0.301677i	−0.841670	−	0.539993i	$-0.818427\pi$
$937$	−9.23446	+	9.23446i	−0.301677	+	0.301677i	0.539993	+	0.841670i	$0.318427\pi$
$938$	0.610217	−	0.0803365i	0.0199243	−	0.00262308i
$939$	−0.0548549	+	0.416665i	−0.00179012	+	0.0135973i
$940$	4.44135	−	22.3282i	0.144861	−	0.728265i
$941$	1.19016	+	18.1584i	0.0387982	+	0.591947i	0.972354	+	0.233513i	$0.0750223\pi$
$941$	1.19016	+	18.1584i	0.0387982	+	0.591947i	−0.933555	+	0.358433i	$0.883311\pi$
$942$	−39.1728	−	26.1745i	−1.27632	−	0.852810i
$943$	4.29433	+	1.77877i	0.139843	+	0.0579248i
$944$	−9.99435	−	0.655064i	−0.325288	−	0.0213205i
$945$	−0.261283	−	1.98464i	−0.00849954	−	0.0645604i
$946$	−22.1087	−	82.5110i	−0.718817	−	2.68266i
$947$	−21.8384	−	10.7695i	−0.709653	−	0.349962i	0.0513763	−	0.998679i	$-0.483639\pi$
$947$	−21.8384	−	10.7695i	−0.709653	−	0.349962i	−0.761030	+	0.648717i	$0.775306\pi$
$948$			2.31619i			0.0752262i
$949$	−29.1759	+	59.1629i	−0.947091	+	1.92051i
$950$	0.931837	+	1.39459i	0.0302328	+	0.0452466i
$951$	−22.4905	−	4.47363i	−0.729303	−	0.145067i
$952$	−0.158543	+	0.0656707i	−0.00513841	+	0.00212840i
$953$	−43.2439	+	14.6793i	−1.40081	+	0.475510i	−0.916728	−	0.399513i	$-0.869179\pi$
$953$	−43.2439	+	14.6793i	−1.40081	+	0.475510i	−0.484081	+	0.875023i	$0.660846\pi$
$954$	12.7616	+	7.36789i	0.413171	+	0.238544i
$955$	−27.1117	+	23.7763i	−0.877314	+	0.769384i
$956$	−2.36219	−	6.95878i	−0.0763986	−	0.225063i
$957$	−35.5586	−	31.1841i	−1.14945	−	1.00804i
$958$	−15.8751	+	38.3258i	−0.512900	+	1.23825i
$959$	1.30928	−	1.70628i	0.0422787	−	0.0550987i
$960$	−0.954569	+	14.5639i	−0.0308086	+	0.470048i
$961$	14.6226	+	3.91811i	0.471697	+	0.126391i
$962$	−12.2505	−	29.5752i	−0.394971	−	0.953543i
$963$	2.68638	−	7.91383i	0.0865675	−	0.255020i
$964$	−4.80063	+	2.77164i	−0.154618	+	0.0892686i
$965$	34.5735	−	39.4235i	1.11296	−	1.26909i
$966$	0.637812	−	2.38035i	0.0205213	−	0.0765864i
$967$	−2.23635	−	0.294421i	−0.0719162	−	0.00946794i	0.0944822	−	0.995527i	$-0.469880\pi$
$967$	−2.23635	−	0.294421i	−0.0719162	−	0.00946794i	−0.166398	+	0.986059i	$0.553214\pi$
$968$	3.43626	−	2.63673i	0.110445	−	0.0847478i
$969$	−2.12880			−0.0683870
$970$	26.1417	+	36.4182i	0.839360	+	1.16932i
$971$	25.1331			0.806559			0.403280	−	0.915077i	$-0.367870\pi$
$971$	25.1331			0.806559			0.403280	+	0.915077i	$0.367870\pi$
$972$	−9.00137	+	6.90699i	−0.288719	+	0.221542i
$973$	−2.49389	−	0.328327i	−0.0799505	−	0.0105257i
$974$	12.7700	−	47.6584i	0.409178	−	1.52707i
$975$	−3.35392	+	3.82442i	−0.107411	+	0.122479i
$976$	36.6853	−	21.1802i	1.17427	−	0.677963i
$977$	−11.7834	+	34.7128i	−0.376985	+	1.11056i	0.578541	+	0.815653i	$0.303622\pi$
$977$	−11.7834	+	34.7128i	−0.376985	+	1.11056i	−0.955526	+	0.294908i	$0.904711\pi$
$978$	−10.8560	−	26.2086i	−0.347135	−	0.838058i
$979$	−0.225177	−	0.0603361i	−0.00719670	−	0.00192835i
$980$	1.70104	−	25.9528i	0.0543376	−	0.829032i
$981$	3.91993	−	5.10856i	0.125154	−	0.163104i
$982$	−9.39924	+	22.6918i	−0.299942	+	0.724124i
$983$	14.6548	+	12.8520i	0.467417	+	0.409914i	0.860390	−	0.509636i	$-0.170220\pi$
$983$	14.6548	+	12.8520i	0.467417	+	0.409914i	−0.392973	+	0.919550i	$0.628553\pi$
$984$	0.330177	+	0.972669i	0.0105256	+	0.0310076i
$985$	−41.4206	+	36.3249i	−1.31977	+	1.15741i
$986$	17.2219	+	9.94308i	0.548458	+	0.316652i
$987$	−1.28461	+	0.436066i	−0.0408896	+	0.0138801i
$988$	−5.90512	+	2.44598i	−0.187867	+	0.0778170i
$989$	65.6108	+	13.0508i	2.08630	+	0.414991i
$990$	−7.34677	−	10.9952i	−0.233496	−	0.349451i
$991$	−6.65609	+	13.4972i	−0.211438	+	0.428753i	−0.976594	−	0.215091i	$-0.930995\pi$
$991$	−6.65609	+	13.4972i	−0.211438	+	0.428753i	0.765156	+	0.643845i	$0.222662\pi$
$992$		−	28.3961i		−	0.901576i
$993$	−2.62912	−	1.29654i	−0.0834325	−	0.0411443i
$994$	−0.907198	−	3.38571i	−0.0287746	−	0.107388i
$995$	−3.64107	−	27.6566i	−0.115430	−	0.876775i
$996$	29.6219	+	1.94152i	0.938607	+	0.0615195i
$997$	−37.9046	−	15.7006i	−1.20045	−	0.497243i	−0.309306	−	0.950963i	$-0.600097\pi$
$997$	−37.9046	−	15.7006i	−1.20045	−	0.497243i	−0.891144	+	0.453720i	$0.850097\pi$
$998$	−27.6552	−	18.4786i	−0.875411	−	0.584931i
$999$	−1.57785	−	24.0733i	−0.0499209	−	0.761646i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	97.2.k.a.3.7	✓	128
3.2	odd	2		873.2.bu.d.100.2		128
97.29	odd	96		9409.2.a.o.1.26		128
97.65	even	48	inner	97.2.k.a.65.7	yes	128
97.68	odd	96		9409.2.a.o.1.25		128
291.65	odd	48		873.2.bu.d.550.2		128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
97.2.k.a.3.7	✓	128	1.1	even	1	trivial
97.2.k.a.65.7	yes	128	97.65	even	48	inner
873.2.bu.d.100.2		128	3.2	odd	2
873.2.bu.d.550.2		128	291.65	odd	48
9409.2.a.o.1.25		128	97.68	odd	96
9409.2.a.o.1.26		128	97.29	odd	96

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:	\( N \)	\(=\)	\( 97 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	97.k (of order \(48\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(1.49285 - 1.14550i) q^{2} +(-1.49507 - 0.196829i) q^{3} +(0.398779 - 1.48827i) q^{4} +(1.59493 - 1.81867i) q^{5} +(-2.45738 + 1.41877i) q^{6} +(0.0473419 - 0.139465i) q^{7} +(0.330691 + 0.798360i) q^{8} +(-0.701291 - 0.187910i) q^{9} +(0.297698 - 4.54199i) q^{10} +(-2.43598 + 3.17463i) q^{11} +(-0.889137 + 2.14657i) q^{12} +(2.97894 + 2.61246i) q^{13} +(-0.0890829 - 0.262430i) q^{14} +(-2.74250 + 2.40510i) q^{15} +(4.07688 + 2.35379i) q^{16} +(-1.27679 + 0.433412i) q^{17} +(-1.26217 + 0.522808i) q^{18} +(-1.02687 - 0.204257i) q^{19} +(-2.07064 - 3.09893i) q^{20} +(-0.0982302 + 0.199191i) q^{21} +7.52966i q^{22} +(-5.28859 - 2.60804i) q^{23} +(-0.337265 - 1.25869i) q^{24} +(-0.111124 - 0.844073i) q^{25} +(7.43967 + 0.487622i) q^{26} +(5.19104 + 2.15020i) q^{27} +(-0.188682 - 0.126073i) q^{28} +(-0.512624 - 7.82113i) q^{29} +(-1.33908 + 6.73199i) q^{30} +(0.519841 - 3.94859i) q^{31} +(7.06893 - 0.930642i) q^{32} +(4.26682 - 4.26682i) q^{33} +(-1.40958 + 2.10958i) q^{34} +(-0.178133 - 0.308536i) q^{35} +(-0.559320 + 0.968771i) q^{36} +(-1.89904 - 3.85087i) q^{37} +(-1.76693 + 0.871355i) q^{38} +(-3.93950 - 4.49214i) q^{39} +(1.97938 + 0.671909i) q^{40} +(-0.786576 + 0.0515549i) q^{41} +(0.0815311 + 0.409885i) q^{42} +(-10.9581 + 2.93622i) q^{43} +(3.75327 + 4.89136i) q^{44} +(-1.46026 + 0.975712i) q^{45} +(-10.8826 + 2.16468i) q^{46} +(4.31916 + 4.31916i) q^{47} +(-5.63192 - 4.32152i) q^{48} +(5.53626 + 4.24812i) q^{49} +(-1.13278 - 1.13278i) q^{50} +(1.99420 - 0.396671i) q^{51} +(5.07597 - 3.39165i) q^{52} +(-6.56625 - 8.55731i) q^{53} +(10.2125 - 2.73642i) q^{54} +(1.88839 + 9.49356i) q^{55} +(0.126999 - 0.00832393i) q^{56} +(1.49503 + 0.507496i) q^{57} +(-9.72439 - 11.0885i) q^{58} +(-1.90818 + 0.941010i) q^{59} +(2.48578 + 5.04067i) q^{60} +(4.49919 - 7.79282i) q^{61} +(-3.74707 - 6.49011i) q^{62} +(-0.0594073 + 0.0889093i) q^{63} +(2.82926 - 2.82926i) q^{64} +(9.50239 - 1.25101i) q^{65} +(1.48206 - 11.2574i) q^{66} +(-0.433267 + 2.17818i) q^{67} +(0.135874 + 2.07304i) q^{68} +(7.39346 + 4.94015i) q^{69} +(-0.619354 - 0.256545i) q^{70} +(12.6206 + 0.827197i) q^{71} +(-0.0818908 - 0.622022i) q^{72} +(4.30903 + 16.0815i) q^{73} +(-7.24615 - 3.57341i) q^{74} +1.28382i q^{75} +(-0.713482 + 1.44680i) q^{76} +(0.327425 + 0.490027i) q^{77} +(-11.0268 - 2.19337i) q^{78} +(0.921000 - 0.381491i) q^{79} +(10.7831 - 3.66037i) q^{80} +(-5.45145 - 3.14740i) q^{81} +(-1.11518 + 0.977988i) q^{82} +(-4.10690 - 12.0985i) q^{83} +(0.257277 + 0.225626i) q^{84} +(-1.24816 + 3.01332i) q^{85} +(-12.9954 + 16.9359i) q^{86} +(-0.773021 + 11.7940i) q^{87} +(-3.34006 - 0.894965i) q^{88} +(0.0222943 + 0.0538232i) q^{89} +(-1.06226 + 3.12931i) q^{90} +(0.505374 - 0.291778i) q^{91} +(-5.99044 + 6.83079i) q^{92} +(-1.55440 + 5.80109i) q^{93} +(11.3955 + 1.50024i) q^{94} +(-2.00926 + 1.54176i) q^{95} -10.7517 q^{96} +(-7.60819 + 6.25423i) q^{97} +13.1310 q^{98} +(2.30488 - 1.76859i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 16 q^{2} - 24 q^{3} - 16 q^{4} - 16 q^{5} - 24 q^{6} - 16 q^{7} - 16 q^{8} + 8 q^{9} + 16 q^{10} - 16 q^{11} - 8 q^{12} - 16 q^{13} + 32 q^{14} + 16 q^{15} - 24 q^{16} - 8 q^{17} - 80 q^{18} - 24 q^{19}+ \cdots - 224 q^{99}+O(q^{100}) \) 128 * q - 16 * q^2 - 24 * q^3 - 16 * q^4 - 16 * q^5 - 24 * q^6 - 16 * q^7 - 16 * q^8 + 8 * q^9 + 16 * q^10 - 16 * q^11 - 8 * q^12 - 16 * q^13 + 32 * q^14 + 16 * q^15 - 24 * q^16 - 8 * q^17 - 80 * q^18 - 24 * q^19 - 8 * q^20 - 16 * q^21 + 24 * q^23 - 48 * q^24 - 24 * q^25 + 24 * q^26 + 24 * q^28 - 56 * q^30 - 40 * q^31 + 128 * q^32 - 8 * q^33 - 16 * q^34 - 72 * q^35 + 112 * q^36 + 8 * q^37 - 16 * q^38 + 32 * q^40 + 16 * q^41 - 64 * q^42 - 24 * q^43 + 104 * q^44 + 152 * q^45 - 16 * q^46 + 32 * q^47 - 48 * q^49 + 8 * q^50 - 16 * q^51 - 48 * q^52 - 32 * q^53 + 96 * q^54 - 16 * q^55 - 16 * q^56 - 16 * q^57 + 112 * q^58 + 32 * q^59 + 16 * q^60 - 56 * q^61 + 56 * q^62 + 176 * q^63 - 48 * q^64 - 8 * q^65 - 8 * q^66 - 32 * q^67 - 48 * q^68 - 96 * q^69 + 64 * q^70 + 136 * q^71 + 112 * q^72 - 64 * q^73 + 304 * q^76 - 16 * q^77 - 64 * q^78 + 32 * q^79 - 48 * q^80 + 72 * q^81 - 8 * q^82 - 64 * q^83 - 112 * q^84 - 72 * q^85 - 248 * q^86 + 96 * q^87 - 96 * q^88 - 16 * q^90 - 168 * q^91 - 120 * q^92 + 24 * q^93 + 48 * q^94 + 32 * q^95 - 352 * q^96 - 176 * q^97 + 208 * q^98 - 224 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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