LMFDB - Embedded newform 294.2.p.a.101.8

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [294,2,Mod(5,294)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(294, base_ring=CyclotomicField(42)) chi = DirichletCharacter(H, H._module([21, 29])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("294.5"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 294 = 2 \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	294.p (of order $42$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.34760181943$
Analytic rank:	$0$
Dimension:	$216$
Relative dimension:	$18$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			101.8
Character	$\chi$	$=$	294.101
Dual form			294.2.p.a.131.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.930874 - 0.365341i) q^{2} +(1.32270 - 1.11825i) q^{3} +(0.733052 + 0.680173i) q^{4} +(1.06899 + 0.728826i) q^{5} +(-1.63980 + 0.557710i) q^{6} +(2.60563 + 0.459029i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(0.499053 - 2.95820i) q^{9} +(-0.728826 - 1.06899i) q^{10} +(0.431805 + 2.86484i) q^{11} +(1.73021 + 0.0799300i) q^{12} +(-2.21249 + 1.76440i) q^{13} +(-2.25781 - 1.37924i) q^{14} +(2.22896 - 0.231380i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(1.26151 + 0.389126i) q^{17} +(-1.54531 + 2.57139i) q^{18} +(2.16116 - 1.24774i) q^{19} +(0.287899 + 1.26137i) q^{20} +(3.95976 - 2.30658i) q^{21} +(0.644687 - 2.82456i) q^{22} +(-0.228184 - 0.739754i) q^{23} +(-1.58140 - 0.706520i) q^{24} +(-1.21515 - 3.09615i) q^{25} +(2.70416 - 0.834123i) q^{26} +(-2.64790 - 4.47086i) q^{27} +(1.59784 + 2.10877i) q^{28} +(-3.46115 + 0.789984i) q^{29} +(-2.15941 - 0.598945i) q^{30} +(-6.98618 - 4.03347i) q^{31} +(0.294755 - 0.955573i) q^{32} +(3.77474 + 3.30645i) q^{33} +(-1.03215 - 0.823110i) q^{34} +(2.45084 + 2.38975i) q^{35} +(2.37792 - 1.82907i) q^{36} +(3.83983 - 3.56284i) q^{37} +(-2.46761 + 0.371933i) q^{38} +(-0.953419 + 4.80788i) q^{39} +(0.192832 - 1.27935i) q^{40} +(7.24650 - 3.48973i) q^{41} +(-4.52872 + 0.700468i) q^{42} +(-1.28782 - 0.620182i) q^{43} +(-1.63205 + 2.39378i) q^{44} +(2.68950 - 2.79857i) q^{45} +(-0.0578521 + 0.771983i) q^{46} +(-1.02904 + 2.62196i) q^{47} +(1.21396 + 1.23543i) q^{48} +(6.57859 + 2.39212i) q^{49} +3.32607i q^{50} +(2.10374 - 0.895988i) q^{51} +(-2.82197 - 0.211477i) q^{52} +(-7.58269 + 8.17220i) q^{53} +(0.831470 + 5.12920i) q^{54} +(-1.62637 + 3.37720i) q^{55} +(-0.716969 - 2.54675i) q^{56} +(1.46327 - 4.06709i) q^{57} +(3.51051 + 0.529124i) q^{58} +(-8.45762 + 5.76631i) q^{59} +(1.79132 + 1.34646i) q^{60} +(0.237463 + 0.255925i) q^{61} +(5.02966 + 6.30699i) q^{62} +(2.65824 - 7.47889i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(-3.65108 + 0.273610i) q^{65} +(-2.30582 - 4.45695i) q^{66} +(-7.17969 + 12.4356i) q^{67} +(0.660083 + 1.14330i) q^{68} +(-1.12905 - 0.723305i) q^{69} +(-1.40835 - 3.11995i) q^{70} +(-5.66734 - 1.29353i) q^{71} +(-2.88178 + 0.833884i) q^{72} +(-6.12979 + 2.40576i) q^{73} +(-4.87605 + 1.91371i) q^{74} +(-5.06953 - 2.73643i) q^{75} +(2.43292 + 0.555298i) q^{76} +(-0.189920 + 7.66291i) q^{77} +(2.64403 - 4.12721i) q^{78} +(-4.93510 - 8.54785i) q^{79} +(-0.646902 + 1.12047i) q^{80} +(-8.50189 - 2.95259i) q^{81} +(-8.02051 + 0.601054i) q^{82} +(3.79532 - 4.75918i) q^{83} +(4.47158 + 1.00248i) q^{84} +(1.06494 + 1.33540i) q^{85} +(0.972221 + 1.04780i) q^{86} +(-3.69465 + 4.91532i) q^{87} +(2.39378 - 1.63205i) q^{88} +(14.4942 + 2.18465i) q^{89} +(-3.52601 + 1.62253i) q^{90} +(-6.57484 + 3.58178i) q^{91} +(0.335890 - 0.697483i) q^{92} +(-13.7510 + 2.47721i) q^{93} +(1.91582 - 2.06476i) q^{94} +(3.21965 + 0.241279i) q^{95} +(-0.678694 - 1.59354i) q^{96} +7.81031i q^{97} +(-5.24989 - 4.63018i) q^{98} +(8.69025 + 0.152340i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9} + 6 q^{10} - 12 q^{15} + 18 q^{16} - 4 q^{18} - 12 q^{19} + 10 q^{22} - 6 q^{24} + 16 q^{25} - 42 q^{27} + 2 q^{28} + 4 q^{30} + 6 q^{31} + 18 q^{33} - 10 q^{36}+ \cdots + 224 q^{99}+O(q^{100}) $ 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9 + 6 * q^10 - 12 * q^15 + 18 * q^16 - 4 * q^18 - 12 * q^19 + 10 * q^22 - 6 * q^24 + 16 * q^25 - 42 * q^27 + 2 * q^28 + 4 * q^30 + 6 * q^31 + 18 * q^33 - 10 * q^36 - 36 * q^37 + 4 * q^39 - 22 * q^40 + 20 * q^42 + 40 * q^43 - 14 * q^45 - 156 * q^46 - 134 * q^49 - 12 * q^51 + 16 * q^52 - 18 * q^54 - 322 * q^55 - 34 * q^57 - 164 * q^58 - 6 * q^60 + 56 * q^61 - 24 * q^63 + 36 * q^64 - 28 * q^69 - 4 * q^70 + 4 * q^72 - 24 * q^73 + 84 * q^75 + 16 * q^78 + 22 * q^79 - 52 * q^81 + 24 * q^82 + 42 * q^84 + 32 * q^85 - 94 * q^87 - 2 * q^88 + 42 * q^90 - 100 * q^91 - 266 * q^93 - 88 * q^94 - 6 * q^96 + 224 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/294\mathbb{Z}\right)^\times$.

$n$	$197$	$199$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

Coefficient data

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

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

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

$2$	−0.930874	−	0.365341i	−0.658227	−	0.258335i
$2$	−0.930874	−	0.365341i	−0.658227	−	0.258335i
$3$	1.32270	−	1.11825i	0.763659	−	0.645620i
$3$	1.32270	−	1.11825i	0.763659	−	0.645620i
$4$	0.733052	+	0.680173i	0.366526	+	0.340086i
$5$	1.06899	+	0.728826i	0.478068	+	0.325941i	0.778265	−	0.627936i	$-0.216100\pi$
$5$	1.06899	+	0.728826i	0.478068	+	0.325941i	−0.300197	+	0.953877i	$0.597053\pi$
$6$	−1.63980	+	0.557710i	−0.669447	+	0.227684i
$7$	2.60563	+	0.459029i	0.984834	+	0.173497i
$7$	2.60563	+	0.459029i	0.984834	+	0.173497i
$8$	−0.433884	−	0.900969i	−0.153401	−	0.318541i
$9$	0.499053	−	2.95820i	0.166351	−	0.986067i
$10$	−0.728826	−	1.06899i	−0.230475	−	0.338045i
$11$	0.431805	+	2.86484i	0.130194	+	0.863781i	0.954623	+	0.297816i	$0.0962581\pi$
$11$	0.431805	+	2.86484i	0.130194	+	0.863781i	−0.824429	+	0.565965i	$0.808504\pi$
$12$	1.73021	+	0.0799300i	0.499467	+	0.0230738i
$13$	−2.21249	+	1.76440i	−0.613635	+	0.489357i	−0.880291	−	0.474434i	$-0.842653\pi$
$13$	−2.21249	+	1.76440i	−0.613635	+	0.489357i	0.266656	+	0.963792i	$0.414081\pi$
$14$	−2.25781	−	1.37924i	−0.603425	−	0.368617i
$15$	2.22896	−	0.231380i	0.575515	−	0.0597419i
$16$	0.0747301	+	0.997204i	0.0186825	+	0.249301i
$17$	1.26151	+	0.389126i	0.305962	+	0.0943768i	0.443934	−	0.896059i	$-0.353582\pi$
$17$	1.26151	+	0.389126i	0.305962	+	0.0943768i	−0.137972	+	0.990436i	$0.544058\pi$
$18$	−1.54531	+	2.57139i	−0.364232	+	0.606082i
$19$	2.16116	−	1.24774i	0.495803	−	0.286252i	−0.231176	−	0.972912i	$-0.574257\pi$
$19$	2.16116	−	1.24774i	0.495803	−	0.286252i	0.726979	+	0.686660i	$0.240924\pi$
$20$	0.287899	+	1.26137i	0.0643761	+	0.282050i
$21$	3.95976	−	2.30658i	0.864091	−	0.503336i
$22$	0.644687	−	2.82456i	0.137448	−	0.602198i
$23$	−0.228184	−	0.739754i	−0.0475796	−	0.154249i	0.928666	−	0.370918i	$-0.120957\pi$
$23$	−0.228184	−	0.739754i	−0.0475796	−	0.154249i	−0.976245	+	0.216669i	$0.930481\pi$
$24$	−1.58140	−	0.706520i	−0.322802	−	0.144218i
$25$	−1.21515	−	3.09615i	−0.243030	−	0.619230i
$26$	2.70416	−	0.834123i	0.530329	−	0.163585i
$27$	−2.64790	−	4.47086i	−0.509589	−	0.860418i
$28$	1.59784	+	2.10877i	0.301964	+	0.398520i
$29$	−3.46115	+	0.789984i	−0.642719	+	0.146696i	−0.531444	−	0.847093i	$-0.678351\pi$
$29$	−3.46115	+	0.789984i	−0.642719	+	0.146696i	−0.111275	+	0.993790i	$0.535493\pi$
$30$	−2.15941	−	0.598945i	−0.394253	−	0.109352i
$31$	−6.98618	−	4.03347i	−1.25475	−	0.724433i	−0.282705	−	0.959207i	$-0.591232\pi$
$31$	−6.98618	−	4.03347i	−1.25475	−	0.724433i	−0.972050	+	0.234774i	$0.924565\pi$
$32$	0.294755	−	0.955573i	0.0521058	−	0.168923i
$33$	3.77474	+	3.30645i	0.657098	+	0.575578i
$34$	−1.03215	−	0.823110i	−0.177012	−	0.141162i
$35$	2.45084	+	2.38975i	0.414268	+	0.403941i
$36$	2.37792	−	1.82907i	0.396320	−	0.304845i
$37$	3.83983	−	3.56284i	0.631264	−	0.585728i	−0.298262	−	0.954484i	$-0.596407\pi$
$37$	3.83983	−	3.56284i	0.631264	−	0.585728i	0.929526	+	0.368757i	$0.120216\pi$
$38$	−2.46761	+	0.371933i	−0.400300	+	0.0603355i
$39$	−0.953419	+	4.80788i	−0.152669	+	0.769877i
$40$	0.192832	−	1.27935i	0.0304894	−	0.202284i
$41$	7.24650	−	3.48973i	1.13171	−	0.545004i	0.228221	−	0.973609i	$-0.426709\pi$
$41$	7.24650	−	3.48973i	1.13171	−	0.545004i	0.903492	+	0.428605i	$0.140995\pi$
$42$	−4.52872	+	0.700468i	−0.698797	+	0.108085i
$43$	−1.28782	−	0.620182i	−0.196391	−	0.0945768i	0.333104	−	0.942890i	$-0.391904\pi$
$43$	−1.28782	−	0.620182i	−0.196391	−	0.0945768i	−0.529495	+	0.848313i	$0.677618\pi$
$44$	−1.63205	+	2.39378i	−0.246041	+	0.360875i
$45$	2.68950	−	2.79857i	0.400926	−	0.417186i
$46$	−0.0578521	+	0.771983i	−0.00852983	+	0.113823i
$47$	−1.02904	+	2.62196i	−0.150102	+	0.382453i	−0.986071	−	0.166323i	$-0.946811\pi$
$47$	−1.02904	+	2.62196i	−0.150102	+	0.382453i	0.835970	+	0.548776i	$0.184906\pi$
$48$	1.21396	+	1.23543i	0.175221	+	0.178319i
$49$	6.57859	+	2.39212i	0.939798	+	0.341731i
$50$			3.32607i			0.470377i
$51$	2.10374	−	0.895988i	0.294582	−	0.125463i
$52$	−2.82197	−	0.211477i	−0.391337	−	0.0293266i
$53$	−7.58269	+	8.17220i	−1.04156	+	1.12254i	−0.0492497	+	0.998786i	$0.515683\pi$
$53$	−7.58269	+	8.17220i	−1.04156	+	1.12254i	−0.992313	+	0.123751i	$0.960507\pi$
$54$	0.831470	+	5.12920i	0.113149	+	0.697995i
$55$	−1.62637	+	3.37720i	−0.219300	+	0.455381i
$56$	−0.716969	−	2.54675i	−0.0958090	−	0.340324i
$57$	1.46327	−	4.06709i	0.193815	−	0.538699i
$58$	3.51051	+	0.529124i	0.460952	+	0.0694773i
$59$	−8.45762	+	5.76631i	−1.10109	+	0.750709i	−0.970590	−	0.240740i	$-0.922610\pi$
$59$	−8.45762	+	5.76631i	−1.10109	+	0.750709i	−0.130498	+	0.991449i	$0.541658\pi$
$60$	1.79132	+	1.34646i	0.231258	+	0.173828i
$61$	0.237463	+	0.255925i	0.0304041	+	0.0327678i	0.748071	−	0.663619i	$-0.230980\pi$
$61$	0.237463	+	0.255925i	0.0304041	+	0.0327678i	−0.717667	+	0.696387i	$0.754790\pi$
$62$	5.02966	+	6.30699i	0.638767	+	0.800989i
$63$	2.65824	−	7.47889i	0.334907	−	0.942251i
$64$	−0.623490	+	0.781831i	−0.0779362	+	0.0977289i
$65$	−3.65108	+	0.273610i	−0.452861	+	0.0339372i
$66$	−2.30582	−	4.45695i	−0.283827	−	0.548613i
$67$	−7.17969	+	12.4356i	−0.877139	+	1.51925i	−0.0226714	+	0.999743i	$0.507217\pi$
$67$	−7.17969	+	12.4356i	−0.877139	+	1.51925i	−0.854467	+	0.519506i	$0.826116\pi$
$68$	0.660083	+	1.14330i	0.0800468	+	0.138645i
$69$	−1.12905	−	0.723305i	−0.135921	−	0.0870756i
$70$	−1.40835	−	3.11995i	−0.168330	−	0.372905i
$71$	−5.66734	−	1.29353i	−0.672589	−	0.153514i	−0.127431	−	0.991847i	$-0.540673\pi$
$71$	−5.66734	−	1.29353i	−0.672589	−	0.153514i	−0.545158	+	0.838333i	$0.683530\pi$
$72$	−2.88178	+	0.833884i	−0.339621	+	0.0982742i
$73$	−6.12979	+	2.40576i	−0.717437	+	0.281573i	−0.695843	−	0.718193i	$-0.744969\pi$
$73$	−6.12979	+	2.40576i	−0.717437	+	0.281573i	−0.0215937	+	0.999767i	$0.506874\pi$
$74$	−4.87605	+	1.91371i	−0.566829	+	0.222464i
$75$	−5.06953	−	2.73643i	−0.585379	−	0.315976i
$76$	2.43292	+	0.555298i	0.279075	+	0.0636971i
$77$	−0.189920	+	7.66291i	−0.0216434	+	0.873269i
$78$	2.64403	−	4.12721i	0.299377	−	0.467314i
$79$	−4.93510	−	8.54785i	−0.555243	−	0.961708i	−0.997885	−	0.0650099i	$-0.979292\pi$
$79$	−4.93510	−	8.54785i	−0.555243	−	0.961708i	0.442642	−	0.896698i	$-0.354041\pi$
$80$	−0.646902	+	1.12047i	−0.0723259	+	0.125272i
$81$	−8.50189	−	2.95259i	−0.944655	−	0.328066i
$82$	−8.02051	+	0.601054i	−0.885718	+	0.0663754i
$83$	3.79532	−	4.75918i	0.416590	−	0.522387i	−0.528616	−	0.848861i	$-0.677289\pi$
$83$	3.79532	−	4.75918i	0.416590	−	0.522387i	0.945206	+	0.326473i	$0.105860\pi$
$84$	4.47158	+	1.00248i	0.487889	+	0.109380i
$85$	1.06494	+	1.33540i	0.115509	+	0.144844i
$86$	0.972221	+	1.04780i	0.104837	+	0.112988i
$87$	−3.69465	+	4.91532i	−0.396108	+	0.526978i
$88$	2.39378	−	1.63205i	0.255177	−	0.173977i
$89$	14.4942	+	2.18465i	1.53638	+	0.231572i	0.862038	−	0.506844i	$-0.169188\pi$
$89$	14.4942	+	2.18465i	1.53638	+	0.231572i	0.674345	+	0.738416i	$0.264426\pi$
$90$	−3.52601	+	1.62253i	−0.371674	+	0.171030i
$91$	−6.57484	+	3.58178i	−0.689230	+	0.375473i
$92$	0.335890	−	0.697483i	0.0350190	−	0.0727176i
$93$	−13.7510	+	2.47721i	−1.42591	+	0.256874i
$94$	1.91582	−	2.06476i	0.197602	−	0.212964i
$95$	3.21965	+	0.241279i	0.330329	+	0.0247547i
$96$	−0.678694	−	1.59354i	−0.0692689	−	0.162640i
$97$			7.81031i			0.793016i	0.918031	+	0.396508i	$0.129778\pi$
$97$			7.81031i			0.793016i	−0.918031	+	0.396508i	$0.870222\pi$
$98$	−5.24989	−	4.63018i	−0.530319	−	0.467719i
$99$	8.69025	+	0.152340i	0.873403	+	0.0153107i
$100$	1.21515	−	3.09615i	0.121515	−	0.309615i
$101$	−0.861023	+	11.4895i	−0.0856750	+	1.14325i	0.774266	+	0.632860i	$0.218119\pi$
$101$	−0.861023	+	11.4895i	−0.0856750	+	1.14325i	−0.859941	+	0.510393i	$0.829500\pi$
$102$	−2.28566	+	0.0654696i	−0.226314	+	0.00648246i
$103$	−10.6566	+	15.6304i	−1.05003	+	1.54011i	−0.225536	+	0.974235i	$0.572413\pi$
$103$	−10.6566	+	15.6304i	−1.05003	+	1.54011i	−0.824492	+	0.565873i	$0.808539\pi$
$104$	2.54964	+	1.22784i	0.250012	+	0.120400i
$105$	5.91404	+	0.420267i	0.577152	+	0.0410139i
$106$	10.0442	−	4.83702i	0.975576	−	0.469813i
$107$	2.36915	−	15.7183i	0.229034	−	1.51954i	−0.518361	−	0.855162i	$-0.673458\pi$
$107$	2.36915	−	15.7183i	0.229034	−	1.51954i	0.747395	−	0.664380i	$-0.231304\pi$
$108$	1.09991	−	5.07840i	0.105839	−	0.488670i
$109$	12.2248	−	1.84259i	1.17092	−	0.176488i	0.465349	−	0.885127i	$-0.345929\pi$
$109$	12.2248	−	1.84259i	1.17092	−	0.176488i	0.705570	+	0.708640i	$0.250691\pi$
$110$	2.74778	−	2.54956i	0.261990	−	0.243091i
$111$	1.09480	−	9.00643i	0.103914	−	0.854853i
$112$	−0.263026	+	2.63264i	−0.0248537	+	0.248762i
$113$	−9.31010	−	7.42455i	−0.875820	−	0.698443i	0.0786010	−	0.996906i	$-0.474955\pi$
$113$	−9.31010	−	7.42455i	−0.875820	−	0.698443i	−0.954421	+	0.298463i	$0.903526\pi$
$114$	−2.84799	+	3.25135i	−0.266739	+	0.304517i
$115$	0.295225	−	0.957098i	0.0275299	−	0.0892498i
$116$	−3.07453	−	1.77508i	−0.285463	−	0.164812i
$117$	4.11531	+	7.42552i	0.380460	+	0.686490i
$118$	9.97964	−	2.27779i	0.918700	−	0.209687i
$119$	3.10842	+	1.59299i	0.284948	+	0.146029i
$120$	−1.17557	−	1.90783i	−0.107315	−	0.174160i
$121$	2.49047	−	0.768208i	0.226406	−	0.0698371i
$122$	−0.127549	−	0.324989i	−0.0115477	−	0.0294231i
$123$	5.68254	−	12.7192i	0.512377	−	1.14685i
$124$	−2.37777	−	7.70855i	−0.213530	−	0.692249i
$125$	2.39706	−	10.5022i	0.214400	−	0.939347i
$126$	−5.20683	+	5.99073i	−0.463862	+	0.533697i
$127$	0.617514	+	2.70551i	0.0547955	+	0.240075i	0.994908	−	0.100790i	$-0.0321371\pi$
$127$	0.617514	+	2.70551i	0.0547955	+	0.240075i	−0.940112	+	0.340865i	$0.889280\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	−2.39691	+	0.619788i	−0.211036	+	0.0545693i
$130$	3.49865	+	1.07919i	0.306852	+	0.0946514i
$131$	−1.08014	−	14.4135i	−0.0943724	−	1.25931i	−0.820458	−	0.571707i	$-0.806281\pi$
$131$	−1.08014	−	14.4135i	−0.0943724	−	1.25931i	0.726085	−	0.687605i	$-0.241338\pi$
$132$	0.518124	+	4.99127i	0.0450969	+	0.434434i
$133$	6.20392	−	2.25912i	0.537948	−	0.195891i
$134$	11.2266	−	8.95292i	0.969832	−	0.773415i
$135$	0.427900	−	6.70917i	0.0368278	−	0.577434i
$136$	−0.196760	−	1.30542i	−0.0168721	−	0.111939i
$137$	−0.373128	−	0.547278i	−0.0318784	−	0.0467571i	0.809969	−	0.586473i	$-0.199484\pi$
$137$	−0.373128	−	0.547278i	−0.0318784	−	0.0467571i	−0.841847	+	0.539716i	$0.818532\pi$
$138$	0.786746	+	1.08579i	0.0669722	+	0.0924287i
$139$	6.98615	+	14.5069i	0.592557	+	1.23046i	0.954487	+	0.298252i	$0.0964037\pi$
$139$	6.98615	+	14.5069i	0.592557	+	1.23046i	−0.361930	+	0.932205i	$0.617882\pi$
$140$	0.171153	+	3.41880i	0.0144651	+	0.288942i
$141$	1.57089	+	4.61879i	0.132292	+	0.388972i
$142$	4.80299	+	3.27463i	0.403058	+	0.274801i
$143$	−6.01009	−	5.57655i	−0.502589	−	0.466334i
$144$	2.98722	+	0.276591i	0.248935	+	0.0230492i
$145$	−4.27570	−	1.67809i	−0.355078	−	0.139358i
$146$	6.58498			0.544977
$147$	11.3764	−	4.19243i	0.938313	−	0.345786i
$148$	5.23814			0.430573
$149$	8.31768	+	3.26445i	0.681411	+	0.267434i	0.680696	−	0.732566i	$-0.261677\pi$
$149$	8.31768	+	3.26445i	0.681411	+	0.267434i	0.000714456		1.00000i	$0.499773\pi$
$150$	3.71936	+	4.39938i	0.303685	+	0.359208i
$151$	−7.22354	−	6.70246i	−0.587843	−	0.545439i	0.329183	−	0.944266i	$-0.393227\pi$
$151$	−7.22354	−	6.70246i	−0.587843	−	0.545439i	−0.917026	+	0.398828i	$0.869417\pi$
$152$	−2.06187	−	1.40576i	−0.167240	−	0.114022i
$153$	1.78067	−	3.53762i	0.143959	−	0.285999i
$154$	2.97637	−	7.06381i	0.239842	−	0.569218i
$155$	−4.52847	−	9.40346i	−0.363735	−	0.755304i
$156$	−3.96909	+	2.87594i	−0.317782	+	0.230259i
$157$	9.00626	+	13.2098i	0.718778	+	1.05425i	0.995634	+	0.0933425i	$0.0297551\pi$
$157$	9.00626	+	13.2098i	0.718778	+	1.05425i	−0.276856	+	0.960911i	$0.589292\pi$
$158$	1.47108	+	9.75996i	0.117033	+	0.776461i
$159$	−0.891074	+	19.2887i	−0.0706668	+	1.52969i
$160$	1.01154	−	0.806674i	0.0799690	−	0.0637732i
$161$	−0.254994	−	2.03227i	−0.0200963	−	0.160165i
$162$	6.83549	+	5.85458i	0.537046	+	0.459979i
$163$	−1.66351	−	22.1980i	−0.130296	−	1.73868i	−0.553676	−	0.832732i	$-0.686775\pi$
$163$	−1.66351	−	22.1980i	−0.130296	−	1.73868i	0.423379	−	0.905953i	$-0.360844\pi$
$164$	7.68567	+	2.37072i	0.600150	+	0.185122i
$165$	1.62534	+	6.28569i	0.126532	+	0.489340i
$166$	−5.27168	+	3.04361i	−0.409162	+	0.236230i
$167$	2.07075	+	9.07257i	0.160240	+	0.702056i	0.989660	+	0.143432i	$0.0458137\pi$
$167$	2.07075	+	9.07257i	0.160240	+	0.702056i	−0.829420	+	0.558625i	$0.811329\pi$
$168$	−3.79623	−	2.56684i	−0.292885	−	0.198036i
$169$	−1.11077	+	4.86661i	−0.0854440	+	0.374354i
$170$	−0.503453	−	1.63215i	−0.0386131	−	0.125180i
$171$	−2.61255	−	7.01582i	−0.199786	−	0.536513i
$172$	−0.522209	−	1.33057i	−0.0398180	−	0.101455i
$173$	−12.0223	+	3.70839i	−0.914038	+	0.281943i	−0.715877	−	0.698226i	$-0.753973\pi$
$173$	−12.0223	+	3.70839i	−0.914038	+	0.281943i	−0.198161	+	0.980170i	$0.563497\pi$
$174$	5.23502	−	3.22574i	0.396866	−	0.244543i
$175$	−1.74500	−	8.62520i	−0.131910	−	0.652004i
$176$	−2.82456	+	0.644687i	−0.212909	+	0.0485951i
$177$	−4.73871	+	17.0848i	−0.356184	+	1.28417i
$178$	−12.6941	−	7.32896i	−0.951466	−	0.549329i
$179$	5.00703	−	16.2324i	0.374243	−	1.21327i	−0.551198	−	0.834374i	$-0.685829\pi$
$179$	5.00703	−	16.2324i	0.374243	−	1.21327i	0.925441	−	0.378891i	$-0.123695\pi$
$180$	3.87505	−	0.222174i	0.288829	−	0.0165598i
$181$	5.64273	+	4.49993i	0.419421	+	0.334477i	0.810353	−	0.585943i	$-0.199276\pi$
$181$	5.64273	+	4.49993i	0.419421	+	0.334477i	−0.390931	+	0.920420i	$0.627847\pi$
$182$	7.42892	−	0.932126i	0.550668	−	0.0690938i
$183$	0.600279	+	0.0729682i	0.0443739	+	0.00539397i
$184$	−0.567490	+	0.526554i	−0.0418359	+	0.0388181i
$185$	6.70144	−	1.01008i	0.492700	−	0.0742625i
$186$	13.7055	+	2.71784i	1.00493	+	0.199282i
$187$	−0.570054	+	3.78206i	−0.0416865	+	0.276572i
$188$	−2.53773	+	1.22211i	−0.185083	+	0.0891313i
$189$	−4.84718	−	12.8649i	−0.352581	−	0.935781i
$190$	−2.90893	−	1.40087i	−0.211036	−	0.101630i
$191$	4.92920	−	7.22980i	0.356664	−	0.523130i	−0.605412	−	0.795913i	$-0.706991\pi$
$191$	4.92920	−	7.22980i	0.356664	−	0.523130i	0.962076	+	0.272782i	$0.0879439\pi$
$192$	0.0495920	+	1.73134i	0.00357899	+	0.124949i
$193$	1.27863	−	17.0622i	0.0920380	−	1.22816i	−0.739678	−	0.672960i	$-0.765022\pi$
$193$	1.27863	−	17.0622i	0.0920380	−	1.22816i	0.831716	−	0.555201i	$-0.187359\pi$
$194$	2.85343	−	7.27041i	0.204864	−	0.521985i
$195$	−4.52330	+	4.44471i	−0.323921	+	0.318292i
$196$	3.19539	+	6.22812i	0.228242	+	0.444866i
$197$		−	23.2610i		−	1.65728i	−0.559783	−	0.828639i	$-0.689115\pi$
$197$		−	23.2610i		−	1.65728i	0.559783	−	0.828639i	$-0.310885\pi$
$198$	−8.03387	−	3.31671i	−0.570942	−	0.235709i
$199$	0.712788	+	0.0534161i	0.0505282	+	0.00378657i	0.0999702	−	0.994990i	$-0.468125\pi$
$199$	0.712788	+	0.0534161i	0.0505282	+	0.00378657i	−0.0494420	+	0.998777i	$0.515744\pi$
$200$	−2.26230	+	2.43818i	−0.159969	+	0.172405i
$201$	4.40949	+	24.4772i	0.311022	+	1.72649i
$202$	4.99911	−	10.3808i	0.351736	−	0.730387i
$203$	−9.38109	+	0.469639i	−0.658423	+	0.0329622i
$204$	2.15158	+	0.774100i	0.150640	+	0.0541979i
$205$	10.2898	+	1.55095i	0.718674	+	0.108323i
$206$	15.6304	−	10.6566i	1.08902	−	0.742482i
$207$	−2.30222	+	0.305838i	−0.160015	+	0.0212572i
$208$	−1.92481	−	2.07445i	−0.133462	−	0.143837i
$209$	4.50778	+	5.65258i	0.311810	+	0.390997i
$210$	−5.35169	−	2.55186i	−0.369302	−	0.176095i
$211$	−14.1495	+	17.7429i	−0.974092	+	1.22147i	0.00107402	+	0.999999i	$0.499658\pi$
$211$	−14.1495	+	17.7429i	−0.974092	+	1.22147i	−0.975166	+	0.221474i	$0.928913\pi$
$212$	−11.1170	+	0.833105i	−0.763520	+	0.0572179i
$213$	−8.94265	+	4.62652i	−0.612741	+	0.317004i
$214$	−7.94790	+	13.7662i	−0.543307	+	0.941036i
$215$	−0.924665	−	1.60157i	−0.0630616	−	0.109226i
$216$	−2.87923	+	4.32551i	−0.195907	+	0.294314i
$217$	−16.3519	−	13.7166i	−1.11004	−	0.931142i
$218$	−12.0529	−	2.75099i	−0.816324	−	0.186321i
$219$	−5.41761	+	10.0367i	−0.366088	+	0.678218i
$220$	−3.48929	+	1.36945i	−0.235248	+	0.0923281i
$221$	−3.47766	+	1.36488i	−0.233933	+	0.0918120i
$222$	−4.30954	+	7.98388i	−0.289237	+	0.535843i
$223$	−10.5052	−	2.39774i	−0.703479	−	0.160564i	−0.144205	−	0.989548i	$-0.546063\pi$
$223$	−10.5052	−	2.39774i	−0.703479	−	0.160564i	−0.559273	+	0.828983i	$0.688920\pi$
$224$	1.20666	−	2.35457i	0.0806232	−	0.157321i
$225$	−9.76546	+	2.04951i	−0.651030	+	0.136634i
$226$	5.95403	+	10.3127i	0.396056	+	0.685989i
$227$	−4.13009	+	7.15352i	−0.274123	+	0.474796i	−0.969914	−	0.243449i	$-0.921721\pi$
$227$	−4.13009	+	7.15352i	−0.274123	+	0.474796i	0.695790	+	0.718245i	$0.255054\pi$
$228$	3.83898	−	1.98611i	0.254242	−	0.131533i
$229$	23.5293	−	1.76328i	1.55486	−	0.116521i	0.730629	−	0.682774i	$-0.239227\pi$
$229$	23.5293	−	1.76328i	1.55486	−	0.116521i	0.824231	+	0.566254i	$0.191608\pi$
$230$	−0.624485	+	0.783079i	−0.0411773	+	0.0516347i
$231$	8.31781	+	10.3481i	0.547271	+	0.680854i
$232$	2.21349	+	2.77563i	0.145323	+	0.182229i
$233$	−4.50827	−	4.85876i	−0.295347	−	0.318308i	0.567893	−	0.823102i	$-0.307759\pi$
$233$	−4.50827	−	4.85876i	−0.295347	−	0.318308i	−0.863240	+	0.504795i	$0.831568\pi$
$234$	−1.11798	−	8.41571i	−0.0730849	−	0.550152i
$235$	−3.01100	+	2.05286i	−0.196416	+	0.133914i
$236$	−10.1220	−	1.52564i	−0.658883	−	0.0993107i
$237$	−16.0862	−	5.78755i	−1.04491	−	0.375942i
$238$	−2.31156	−	2.61850i	−0.149836	−	0.169732i
$239$	−11.3297	+	23.5264i	−0.732859	+	1.52180i	0.116042	+	0.993244i	$0.462979\pi$
$239$	−11.3297	+	23.5264i	−0.732859	+	1.52180i	−0.848901	+	0.528553i	$0.822735\pi$
$240$	0.397303	+	2.20543i	0.0256458	+	0.142360i
$241$	14.0126	−	15.1020i	0.902632	−	0.972806i	−0.0971156	−	0.995273i	$-0.530962\pi$
$241$	14.0126	−	15.1020i	0.902632	−	0.972806i	0.999748	+	0.0224672i	$0.00715213\pi$
$242$	−2.59897	−	0.194766i	−0.167068	−	0.0125200i
$243$	−14.5472	+	5.60182i	−0.933200	+	0.359357i
$244$			0.349122i			0.0223503i
$245$	5.28902	+	7.35180i	0.337903	+	0.469689i
$246$	−9.93658	+	9.76392i	−0.633533	+	0.622525i
$247$	−2.58002	+	6.57377i	−0.164162	+	0.418279i
$248$	−0.602844	+	8.04439i	−0.0382806	+	0.510819i
$249$	−0.301877	−	10.5390i	−0.0191307	−	0.667885i
$250$	−6.06826	+	8.90050i	−0.383790	+	0.562917i
$251$	13.3088	+	6.40917i	0.840042	+	0.404543i	0.803872	−	0.594803i	$-0.202770\pi$
$251$	13.3088	+	6.40917i	0.840042	+	0.404543i	0.0361704	+	0.999346i	$0.488484\pi$
$252$	7.03557	−	3.67435i	0.443199	−	0.231462i
$253$	2.02074	−	0.973139i	0.127043	−	0.0611807i
$254$	0.413605	−	2.74409i	0.0259519	−	0.172179i
$255$	2.90190	+	0.575456i	0.181724	+	0.0360365i
$256$	−0.988831	+	0.149042i	−0.0618019	+	0.00931514i
$257$	−0.461745	+	0.428436i	−0.0288028	+	0.0267251i	−0.694443	−	0.719548i	$-0.744349\pi$
$257$	−0.461745	+	0.428436i	−0.0288028	+	0.0267251i	0.665640	+	0.746273i	$0.268159\pi$
$258$	2.45766	+	0.298746i	0.153007	+	0.0185991i
$259$	11.6406	−	7.52084i	0.723312	−	0.467323i
$260$	−2.86253	−	2.28279i	−0.177527	−	0.141573i
$261$	0.609637	+	10.6330i	0.0377356	+	0.658167i
$262$	−4.26036	+	13.8118i	−0.263206	+	0.853293i
$263$	−12.7089	−	7.33750i	−0.783666	−	0.452450i	0.0540621	−	0.998538i	$-0.482783\pi$
$263$	−12.7089	−	7.33750i	−0.783666	−	0.452450i	−0.837728	+	0.546088i	$0.816116\pi$
$264$	1.34121	−	4.83553i	0.0825456	−	0.297607i
$265$	−14.0619	+	3.20955i	−0.863819	+	0.197161i
$266$	−6.60041	−	0.163587i	−0.404697	−	0.0100302i
$267$	21.6144	−	13.3185i	1.32278	−	0.815076i
$268$	−13.7214	+	4.23250i	−0.838170	+	0.258541i
$269$	7.86073	+	20.0288i	0.479277	+	1.22118i	0.942281	+	0.334822i	$0.108676\pi$
$269$	7.86073	+	20.0288i	0.479277	+	1.22118i	−0.463004	+	0.886356i	$0.653229\pi$
$270$	−2.84946	+	6.08907i	−0.173412	+	0.370569i
$271$	−2.94524	−	9.54825i	−0.178911	−	0.580015i	−0.999958	−	0.00915442i	$-0.997086\pi$
$271$	−2.94524	−	9.54825i	−0.178911	−	0.580015i	0.821047	−	0.570860i	$-0.193390\pi$
$272$	−0.293765	+	1.28707i	−0.0178121	+	0.0780399i
$273$	−4.69121	+	12.0899i	−0.283925	+	0.731714i
$274$	0.147392	+	0.645765i	0.00890426	+	0.0390121i
$275$	8.34526	−	4.81814i	0.503238	−	0.290545i
$276$	−0.335677	−	1.29817i	−0.0202054	−	0.0781404i
$277$	8.92956	+	2.75440i	0.536525	+	0.165496i	0.551164	−	0.834397i	$-0.314184\pi$
$277$	8.92956	+	2.75440i	0.536525	+	0.165496i	−0.0146391	+	0.999893i	$0.504660\pi$
$278$	−1.20326	−	16.0564i	−0.0721668	−	0.962999i
$279$	−15.4183	+	18.6536i	−0.923069	+	1.11676i
$280$	1.08971	−	3.24500i	0.0651225	−	0.193926i
$281$	14.7596	−	11.7704i	0.880482	−	0.702161i	−0.0750088	−	0.997183i	$-0.523898\pi$
$281$	14.7596	−	11.7704i	0.880482	−	0.702161i	0.955490	+	0.295022i	$0.0953271\pi$
$282$	0.225136	−	4.87342i	0.0134067	−	0.290208i
$283$	−2.08168	−	13.8110i	−0.123743	−	0.820982i	−0.961474	−	0.274898i	$-0.911356\pi$
$283$	−2.08168	−	13.8110i	−0.123743	−	0.820982i	0.837730	−	0.546084i	$-0.183882\pi$
$284$	−3.27463	−	4.80299i	−0.194313	−	0.285005i
$285$	4.52842	−	3.28122i	0.268241	−	0.194362i
$286$	3.55729	+	7.38680i	0.210347	+	0.436790i
$287$	20.4836	−	5.76658i	1.20911	−	0.340391i
$288$	−2.67968	−	1.34883i	−0.157901	−	0.0794803i
$289$	−12.6061	−	8.59467i	−0.741533	−	0.505569i
$290$	3.36706	+	3.12418i	0.197721	+	0.183458i
$291$	8.73384	+	10.3307i	0.511987	+	0.605594i
$292$	−6.12979	−	2.40576i	−0.358719	−	0.140787i
$293$	−9.24274			−0.539967			−0.269983	−	0.962865i	$-0.587018\pi$
$293$	−9.24274			−0.539967			−0.269983	+	0.962865i	$0.587018\pi$
$294$	−12.1217	−	0.253657i	−0.706952	−	0.0147935i
$295$	−13.2438			−0.771081
$296$	−4.87605	−	1.91371i	−0.283415	−	0.111232i
$297$	11.6649	−	9.51634i	0.676867	−	0.552194i
$298$	−6.55007	−	6.07758i	−0.379435	−	0.352065i
$299$	1.81008	+	1.23409i	0.104680	+	0.0713694i
$300$	−1.85498	−	5.45410i	−0.107098	−	0.314893i
$301$	−3.07090	−	2.20711i	−0.177004	−	0.127216i
$302$	4.27552	+	8.87820i	0.246028	+	0.510883i
$303$	11.7093	+	16.1600i	0.672680	+	0.928369i
$304$	1.40576	+	2.06187i	0.0806258	+	0.118256i
$305$	0.0673218	+	0.446651i	0.00385483	+	0.0255751i
$306$	−2.95002	+	2.64252i	−0.168641	+	0.151063i
$307$	5.22549	−	4.16719i	0.298235	−	0.237834i	−0.462927	−	0.886396i	$-0.653201\pi$
$307$	5.22549	−	4.16719i	0.298235	−	0.237834i	0.761162	+	0.648562i	$0.224629\pi$
$308$	−5.35132	+	5.48813i	−0.304920	+	0.312715i
$309$	3.38314	+	32.5910i	0.192460	+	1.85404i
$310$	0.779962	+	10.4079i	0.0442989	+	0.591127i
$311$	20.1962	+	6.22970i	1.14522	+	0.353254i	0.808584	−	0.588381i	$-0.200234\pi$
$311$	20.1962	+	6.22970i	1.14522	+	0.353254i	0.336637	+	0.941635i	$0.390711\pi$
$312$	4.74542	−	1.22706i	0.268657	−	0.0694686i
$313$	23.2912	−	13.4472i	1.31649	−	0.760078i	0.333331	−	0.942810i	$-0.391827\pi$
$313$	23.2912	−	13.4472i	1.31649	−	0.760078i	0.983163	+	0.182732i	$0.0584940\pi$
$314$	−3.55763	−	15.5870i	−0.200768	−	0.879624i
$315$	8.29245	−	6.05747i	0.467227	−	0.341300i
$316$	2.19633	−	9.62274i	0.123553	−	0.541321i
$317$	10.1443	+	32.8870i	0.569761	+	1.84712i	0.530149	+	0.847904i	$0.322136\pi$
$317$	10.1443	+	32.8870i	0.569761	+	1.84712i	0.0396116	+	0.999215i	$0.487388\pi$
$318$	7.87641	−	17.6298i	0.441687	−	0.988628i
$319$	−3.75772	−	9.57450i	−0.210392	−	0.536069i
$320$	−1.23632	+	0.381356i	−0.0691126	+	0.0213184i
$321$	−14.4432	−	23.4398i	−0.806142	−	1.30828i
$322$	−0.505103	+	1.98494i	−0.0281483	+	0.110617i
$323$	3.21186	−	0.733086i	0.178713	−	0.0407900i
$324$	−4.22405	−	7.94716i	−0.234670	−	0.441509i
$325$	8.15137	+	4.70619i	0.452156	+	0.261053i
$326$	−6.56133	+	21.2713i	−0.363399	+	1.17811i
$327$	14.1092	−	16.1075i	0.780239	−	0.890745i
$328$	−6.28827	−	5.01473i	−0.347212	−	0.276892i
$329$	−3.88486	+	6.35950i	−0.214179	+	0.350610i
$330$	0.783435	−	6.44499i	0.0431267	−	0.354785i
$331$	−6.81017	+	6.31891i	−0.374321	+	0.347319i	−0.844790	−	0.535097i	$-0.820275\pi$
$331$	−6.81017	+	6.31891i	−0.374321	+	0.347319i	0.470470	+	0.882416i	$0.344084\pi$
$332$	6.01923	−	0.907252i	0.330348	−	0.0497919i
$333$	−8.62332	−	13.1370i	−0.472555	−	0.719905i
$334$	1.38697	−	9.20195i	0.0758916	−	0.503508i
$335$	−16.7384	+	8.06079i	−0.914517	+	0.440408i
$336$	2.59604	+	3.77632i	0.141626	+	0.206015i
$337$	−12.9754	−	6.24860i	−0.706813	−	0.340383i	0.0457049	−	0.998955i	$-0.485447\pi$
$337$	−12.9754	−	6.24860i	−0.706813	−	0.340383i	−0.752518	+	0.658572i	$0.771161\pi$
$338$	2.81196	−	4.12439i	0.152950	−	0.224337i
$339$	−20.6169	+	0.590544i	−1.11976	+	0.0320739i
$340$	−0.127642	+	1.70326i	−0.00692235	+	0.0923723i
$341$	8.53857	−	21.7559i	0.462390	−	1.17815i
$342$	−0.131217	+	7.48531i	−0.00709541	+	0.404759i
$343$	16.0433	+	9.25272i	0.866256	+	0.499600i
$344$			1.42937i			0.0770666i
$345$	−0.679777	−	1.59608i	−0.0365979	−	0.0859303i
$346$	12.5461	+	0.940197i	0.674480	+	0.0505453i
$347$	2.78802	−	3.00477i	0.149669	−	0.161304i	−0.653767	−	0.756696i	$-0.726812\pi$
$347$	2.78802	−	3.00477i	0.149669	−	0.161304i	0.803436	+	0.595391i	$0.203003\pi$
$348$	−6.05164	+	1.09019i	−0.324402	+	0.0584401i
$349$	4.37871	−	9.09248i	0.234387	−	0.486709i	−0.750288	−	0.661111i	$-0.770085\pi$
$349$	4.37871	−	9.09248i	0.234387	−	0.486709i	0.984674	+	0.174402i	$0.0557993\pi$
$350$	−1.52676	+	8.66650i	−0.0816088	+	0.463244i
$351$	13.7469	+	5.21979i	0.733753	+	0.278612i
$352$	2.86484	+	0.431805i	0.152696	+	0.0230153i
$353$	−23.2977	+	15.8841i	−1.24001	+	0.845427i	−0.992354	−	0.123421i	$-0.960614\pi$
$353$	−23.2977	+	15.8841i	−1.24001	+	0.845427i	−0.247659	+	0.968847i	$0.579661\pi$
$354$	10.6529	−	14.1725i	0.566196	−	0.753261i
$355$	−5.11558	−	5.51328i	−0.271507	−	0.292614i
$356$	9.13907	+	11.4600i	0.484370	+	0.607380i
$357$	5.89284	−	1.36893i	0.311882	−	0.0724517i
$358$	−10.5913	+	13.2810i	−0.559766	+	0.701924i
$359$	22.7631	−	1.70586i	1.20139	−	0.0900317i	0.541044	−	0.840994i	$-0.318029\pi$
$359$	22.7631	−	1.70586i	1.20139	−	0.0900317i	0.660345	+	0.750962i	$0.270410\pi$
$360$	−3.68835	−	1.20890i	−0.194393	−	0.0637146i
$361$	−6.38627	+	11.0613i	−0.336120	+	0.582176i
$362$	−3.60866	−	6.25039i	−0.189667	−	0.328513i
$363$	2.43509	−	3.80106i	0.127809	−	0.199504i
$364$	−7.25593	−	1.84640i	−0.380314	−	0.0967775i
$365$	−8.30607	−	1.89581i	−0.434760	−	0.0992311i
$366$	−0.532125	−	0.287231i	−0.0278146	−	0.0150138i
$367$	−4.97928	+	1.95422i	−0.259916	+	0.102010i	−0.491721	−	0.870753i	$-0.663632\pi$
$367$	−4.97928	+	1.95422i	−0.259916	+	0.102010i	0.231805	+	0.972762i	$0.425537\pi$
$368$	0.720634	−	0.282828i	0.0375656	−	0.0147434i
$369$	−6.70693	−	23.1781i	−0.349149	−	1.20661i
$370$	−6.60722	−	1.50805i	−0.343493	−	0.0784000i
$371$	−23.5089	+	17.8130i	−1.22052	+	0.924806i
$372$	−11.7651	−	7.53714i	−0.609994	−	0.390783i
$373$	10.4180	+	18.0445i	0.539424	+	0.934309i	0.998935	+	0.0461373i	$0.0146912\pi$
$373$	10.4180	+	18.0445i	0.539424	+	0.934309i	−0.459512	+	0.888172i	$0.651976\pi$
$374$	1.91239	−	3.31236i	0.0988873	−	0.171278i
$375$	−8.57348	−	16.5718i	−0.442733	−	0.855762i
$376$	2.80879	−	0.210490i	0.144852	−	0.0108552i
$377$	6.26391	−	7.85469i	0.322608	−	0.404537i
$378$	−0.187948	+	13.7464i	−0.00966699	+	0.707041i
$379$	−0.645324	−	0.809211i	−0.0331481	−	0.0415664i	0.764981	−	0.644053i	$-0.222748\pi$
$379$	−0.645324	−	0.809211i	−0.0331481	−	0.0415664i	−0.798129	+	0.602486i	$0.794177\pi$
$380$	2.19606	+	2.36679i	0.112655	+	0.121414i
$381$	3.84221	+	2.88803i	0.196842	+	0.147958i
$382$	−7.22980	+	4.92920i	−0.369909	+	0.252200i
$383$	−12.2208	−	1.84198i	−0.624452	−	0.0941210i	−0.170808	−	0.985304i	$-0.554638\pi$
$383$	−12.2208	−	1.84198i	−0.624452	−	0.0941210i	−0.453643	+	0.891183i	$0.649876\pi$
$384$	0.586366	−	1.62978i	0.0299229	−	0.0831692i
$385$	−5.78795	+	8.05316i	−0.294981	+	0.410427i
$386$	−7.42375	+	15.4156i	−0.377859	+	0.784632i
$387$	−2.47731	+	3.50013i	−0.125929	+	0.177922i
$388$	−5.31236	+	5.72536i	−0.269694	+	0.290661i
$389$	−5.94707	−	0.445671i	−0.301528	−	0.0225964i	−0.0768931	−	0.997039i	$-0.524500\pi$
$389$	−5.94707	−	0.445671i	−0.301528	−	0.0225964i	−0.224635	+	0.974443i	$0.572119\pi$
$390$	5.83446	−	2.48491i	0.295439	−	0.125828i
$391$		−	1.02200i		−	0.0516849i
$392$	−0.699120	−	6.96500i	−0.0353109	−	0.351786i
$393$	−17.5465	−	17.8568i	−0.885105	−	0.900757i
$394$	−8.49820	+	21.6531i	−0.428133	+	1.09087i
$395$	0.954312	−	12.7344i	0.0480167	−	0.640738i
$396$	6.26679	+	6.02255i	0.314918	+	0.302644i
$397$	6.28414	−	9.21714i	0.315392	−	0.462595i	−0.635508	−	0.772095i	$-0.719209\pi$
$397$	6.28414	−	9.21714i	0.315392	−	0.462595i	0.950900	+	0.309500i	$0.100162\pi$
$398$	−0.644001	−	0.310134i	−0.0322808	−	0.0155456i
$399$	5.67964	−	9.92564i	0.284338	−	0.496903i
$400$	2.99668	−	1.44313i	0.149834	−	0.0721564i
$401$	3.51577	−	23.3256i	0.175569	−	1.16483i	−0.711329	−	0.702859i	$-0.751906\pi$
$401$	3.51577	−	23.3256i	0.175569	−	1.16483i	0.886898	−	0.461966i	$-0.152856\pi$
$402$	4.83783	−	24.3961i	0.241289	−	1.21677i
$403$	22.5735	−	3.40241i	1.12447	−	0.169486i
$404$	−8.44605	+	7.83679i	−0.420207	+	0.389895i
$405$	−6.93652	−	9.35270i	−0.344679	−	0.464739i
$406$	8.90419	+	2.99012i	0.441907	+	0.148397i
$407$	11.8650	+	9.46203i	0.588127	+	0.469016i
$408$	−1.72004	−	1.50665i	−0.0851544	−	0.0745902i
$409$	2.20649	−	7.15327i	0.109104	−	0.353706i	−0.884513	−	0.466516i	$-0.845509\pi$
$409$	2.20649	−	7.15327i	0.109104	−	0.353706i	0.993617	+	0.112810i	$0.0359851\pi$
$410$	−9.01193	−	5.20304i	−0.445067	−	0.256960i
$411$	−1.10553	−	0.306634i	−0.0545315	−	0.0151251i
$412$	−18.4432	+	4.20955i	−0.908632	+	0.207389i
$413$	−24.6843	+	11.1426i	−1.21463	+	0.548289i
$414$	2.25481	+	0.556398i	0.110818	+	0.0273455i
$415$	7.52577	−	2.32139i	0.369426	−	0.113953i
$416$	1.03387	+	2.63426i	0.0506898	+	0.129155i
$417$	25.4628	+	11.3760i	1.24692	+	0.557084i
$418$	−2.13105	−	6.90871i	−0.104233	−	0.337916i
$419$	−4.93970	+	21.6422i	−0.241320	+	1.05729i	0.698496	+	0.715614i	$0.253853\pi$
$419$	−4.93970	+	21.6422i	−0.241320	+	1.05729i	−0.939817	+	0.341679i	$0.889004\pi$
$420$	4.04945	+	4.33065i	0.197593	+	0.211314i
$421$	−0.941930	−	4.12686i	−0.0459069	−	0.201131i	0.946774	−	0.321899i	$-0.104321\pi$
$421$	−0.941930	−	4.12686i	−0.0459069	−	0.201131i	−0.992681	+	0.120768i	$0.961464\pi$
$422$	19.6536	−	11.3470i	0.956723	−	0.552365i
$423$	7.24274	+	4.35262i	0.352154	+	0.211631i
$424$	10.6529	+	3.28599i	0.517351	+	0.159582i
$425$	−0.328137	−	4.37868i	−0.0159170	−	0.212397i
$426$	10.0147	−	1.03959i	0.485216	−	0.0503684i
$427$	0.501264	+	0.775847i	0.0242579	+	0.0375459i
$428$	12.4278	−	9.91087i	0.600722	−	0.479060i
$429$	−14.1855	−	0.655324i	−0.684881	−	0.0316393i
$430$	0.275628	+	1.82867i	0.0132920	+	0.0881865i
$431$	−4.20777	−	6.17166i	−0.202681	−	0.297278i	0.711418	−	0.702769i	$-0.248053\pi$
$431$	−4.20777	−	6.17166i	−0.202681	−	0.297278i	−0.914099	+	0.405490i	$0.867101\pi$
$432$	4.26049	−	2.97460i	0.204983	−	0.143116i
$433$	−1.93274	−	4.01337i	−0.0928814	−	0.192870i	0.849352	−	0.527826i	$-0.176993\pi$
$433$	−1.93274	−	4.01337i	−0.0928814	−	0.192870i	−0.942234	+	0.334956i	$0.891279\pi$
$434$	10.2103	+	18.7424i	0.490111	+	0.899665i
$435$	−7.53197	+	2.56168i	−0.361130	+	0.122823i
$436$	10.2147	+	6.96423i	0.489193	+	0.333526i
$437$	−1.41616	−	1.31401i	−0.0677443	−	0.0628576i
$438$	8.70993	−	7.36363i	0.416177	−	0.351848i
$439$	36.3023	+	14.2476i	1.73261	+	0.680001i	1.00000		0.000641965i	$-0.000204344\pi$
$439$	36.3023	+	14.2476i	1.73261	+	0.680001i	0.732615	+	0.680643i	$0.238300\pi$
$440$	3.74841			0.178698
$441$	10.3594	−	18.2670i	0.493305	−	0.869856i
$442$	3.73591			0.177699
$443$	35.6110	+	13.9763i	1.69193	+	0.664033i	0.998408	−	0.0564039i	$-0.0179635\pi$
$443$	35.6110	+	13.9763i	1.69193	+	0.664033i	0.693520	+	0.720437i	$0.256059\pi$
$444$	6.92847	−	5.85753i	0.328811	−	0.277986i
$445$	13.9020	+	12.8991i	0.659016	+	0.611477i
$446$	8.90300	+	6.06996i	0.421569	+	0.287421i
$447$	14.6522	−	4.98333i	0.693026	−	0.235704i
$448$	−1.98347	+	1.75096i	−0.0937099	+	0.0827252i
$449$	−9.71661	−	20.1767i	−0.458555	−	0.952199i	−0.994179	−	0.107743i	$-0.965638\pi$
$449$	−9.71661	−	20.1767i	−0.458555	−	0.952199i	0.535624	−	0.844457i	$-0.320077\pi$
$450$	9.83918	+	1.65988i	0.463823	+	0.0782477i
$451$	13.1266	+	19.2531i	0.618106	+	0.906595i
$452$	−1.77480	−	11.7751i	−0.0834798	−	0.553852i
$453$	−17.0495	−	0.787635i	−0.801058	−	0.0370063i
$454$	6.45806	−	5.15013i	0.303092	−	0.241708i
$455$	−9.63894	−	0.963023i	−0.451881	−	0.0451472i
$456$	−4.29921	+	0.446284i	−0.201329	+	0.0208992i
$457$	−0.440824	−	5.88239i	−0.0206209	−	0.275167i	−0.997978	−	0.0635679i	$-0.979752\pi$
$457$	−0.440824	−	5.88239i	−0.0206209	−	0.275167i	0.977357	−	0.211599i	$-0.0678670\pi$
$458$	−22.5470	−	6.95483i	−1.05355	−	0.324978i
$459$	−1.60064	−	6.67043i	−0.0747113	−	0.311349i
$460$	0.867407	−	0.500798i	0.0404431	−	0.0233498i
$461$	−6.52112	−	28.5709i	−0.303719	−	1.33068i	−0.864466	−	0.502692i	$-0.832343\pi$
$461$	−6.52112	−	28.5709i	−0.303719	−	1.33068i	0.560747	−	0.827987i	$-0.310514\pi$
$462$	−3.96225	−	12.6716i	−0.184341	−	0.589536i
$463$	3.99301	−	17.4945i	0.185571	−	0.813039i	−0.793345	−	0.608773i	$-0.791662\pi$
$463$	3.99301	−	17.4945i	0.185571	−	0.813039i	0.978915	−	0.204266i	$-0.0654808\pi$
$464$	−1.04643	−	3.39243i	−0.0485792	−	0.157490i
$465$	−16.5052	−	7.37398i	−0.765409	−	0.341960i
$466$	2.42153	+	6.16995i	0.112175	+	0.285817i
$467$	−20.5922	+	6.35185i	−0.952892	+	0.293928i	−0.731950	−	0.681358i	$-0.761389\pi$
$467$	−20.5922	+	6.35185i	−0.952892	+	0.293928i	−0.220942	+	0.975287i	$0.570913\pi$
$468$	−2.03390	+	8.24241i	−0.0940172	+	0.381006i
$469$	−24.4159	+	29.1068i	−1.12742	+	1.34403i
$470$	3.55285	−	0.810915i	0.163881	−	0.0374047i
$471$	26.6843	+	7.40129i	1.22955	+	0.341034i
$472$	8.86488	+	5.11814i	0.408039	+	0.235582i
$473$	1.22063	−	3.95719i	0.0561247	−	0.181952i
$474$	12.8598	+	11.2644i	0.590672	+	0.517393i
$475$	−6.48933	−	5.17507i	−0.297751	−	0.237448i
$476$	1.19512	+	3.28200i	0.0547784	+	0.150430i
$477$	20.3908	+	26.5095i	0.933632	+	1.21379i
$478$	19.1417	−	17.7609i	0.875521	−	0.812365i
$479$	20.1754	−	3.04095i	0.921836	−	0.138944i	0.329057	−	0.944310i	$-0.393269\pi$
$479$	20.1754	−	3.04095i	0.921836	−	0.138944i	0.592778	+	0.805366i	$0.298031\pi$
$480$	0.435897	−	2.19813i	0.0198959	−	0.100331i
$481$	−2.20930	+	14.6578i	−0.100736	+	0.668337i
$482$	−18.5614	+	8.93868i	−0.845447	+	0.407146i
$483$	−2.60985	−	2.40293i	−0.118752	−	0.109337i
$484$	2.34816	+	1.13081i	0.106734	+	0.0514006i
$485$	−5.69236	+	8.34915i	−0.258477	+	0.379115i
$486$	15.5881	+	0.100084i	0.707092	+	0.00453991i
$487$	−1.06600	+	14.2248i	−0.0483053	+	0.644589i	0.919533	+	0.393014i	$0.128568\pi$
$487$	−1.06600	+	14.2248i	−0.0483053	+	0.644589i	−0.967838	+	0.251575i	$0.919051\pi$
$488$	0.127549	−	0.324989i	0.00577386	−	0.0147115i
$489$	−27.0232	−	27.5011i	−1.22203	−	1.24364i
$490$	−2.23749	−	8.77589i	−0.101080	−	0.396454i
$491$			26.2846i			1.18621i	0.805126	+	0.593104i	$0.202098\pi$
$491$			26.2846i			1.18621i	−0.805126	+	0.593104i	$0.797902\pi$
$492$	12.8169	−	5.45873i	0.577829	−	0.246099i
$493$	−4.67369	−	0.350245i	−0.210492	−	0.0157742i
$494$	4.80334	−	5.17677i	0.216112	−	0.232914i
$495$	9.17878	+	6.49653i	0.412555	+	0.291997i
$496$	3.50012	−	7.26807i	0.157160	−	0.326346i
$497$	−14.1732	−	5.97193i	−0.635755	−	0.267878i
$498$	−3.56934	+	9.92081i	−0.159946	+	0.444562i
$499$	−13.9176	−	2.09774i	−0.623038	−	0.0939079i	−0.170066	−	0.985433i	$-0.554398\pi$
$499$	−13.9176	−	2.09774i	−0.623038	−	0.0939079i	−0.452972	+	0.891525i	$0.649636\pi$
$500$	8.90050	−	6.06826i	0.398042	−	0.271381i
$501$	12.8843	+	9.68464i	0.575630	+	0.432678i
$502$	−10.0473	−	10.8284i	−0.448431	−	0.483294i
$503$	1.62050	+	2.03205i	0.0722547	+	0.0906045i	0.816645	−	0.577140i	$-0.195831\pi$
$503$	1.62050	+	2.03205i	0.0722547	+	0.0906045i	−0.744391	+	0.667745i	$0.767260\pi$
$504$	−7.89161	+	0.849973i	−0.351520	+	0.0378608i
$505$	−9.29431	+	11.6547i	−0.413591	+	0.518627i
$506$	−2.23659	+	0.167609i	−0.0994283	+	0.00745112i
$507$	3.97285	+	7.67916i	0.176440	+	0.341044i
$508$	−1.38754	+	2.40329i	−0.0615622	+	0.106629i
$509$	−1.69918	−	2.94307i	−0.0753150	−	0.130449i	0.825908	−	0.563805i	$-0.190663\pi$
$509$	−1.69918	−	2.94307i	−0.0753150	−	0.130449i	−0.901223	+	0.433355i	$0.857330\pi$
$510$	−2.49106	−	1.59586i	−0.110306	−	0.0706659i
$511$	−17.0763	+	3.45478i	−0.755409	+	0.152830i
$512$	0.974928	+	0.222521i	0.0430861	+	0.00983413i
$513$	−11.3010	−	6.35833i	−0.498952	−	0.280727i
$514$	0.586351	−	0.230126i	0.0258628	−	0.0101504i
$515$	−22.7837	+	8.94193i	−1.00397	+	0.394029i
$516$	−2.17862	−	1.17598i	−0.0959086	−	0.0517695i
$517$	−7.95584	−	1.81587i	−0.349898	−	0.0798618i
$518$	−13.5836	+	2.74816i	−0.596830	+	0.120747i
$519$	−11.7550	+	18.3489i	−0.515985	+	0.805429i
$520$	1.83066	+	3.17079i	0.0802797	+	0.139048i
$521$	18.8247	−	32.6054i	0.824726	−	1.42847i	−0.0774028	−	0.997000i	$-0.524663\pi$
$521$	18.8247	−	32.6054i	0.824726	−	1.42847i	0.902129	−	0.431467i	$-0.142004\pi$
$522$	3.31718	−	10.1207i	0.145189	−	0.442972i
$523$	7.41752	−	0.555866i	0.324345	−	0.0243063i	0.0884374	−	0.996082i	$-0.471813\pi$
$523$	7.41752	−	0.555866i	0.324345	−	0.0243063i	0.235908	+	0.971775i	$0.424194\pi$
$524$	9.01186	−	11.3005i	0.393685	−	0.493665i
$525$	−11.9532	−	9.45718i	−0.521681	−	0.412745i
$526$	9.14971	+	11.4734i	0.398946	+	0.500263i
$527$	−7.24364	−	7.80679i	−0.315538	−	0.340069i
$528$	−3.01511	+	4.01127i	−0.131216	+	0.174568i
$529$	18.5083	−	12.6188i	0.804710	−	0.548642i
$530$	14.2625	+	2.14972i	0.619522	+	0.0933780i
$531$	12.8371	+	27.8970i	0.557082	+	1.21063i
$532$	6.08439	+	2.56368i	0.263792	+	0.111150i
$533$	−9.87552	+	20.5067i	−0.427756	+	0.888245i
$534$	−24.9861	+	4.50117i	−1.08125	+	0.194785i
$535$	13.9885	−	15.0760i	0.604775	−	0.651792i
$536$	14.3192	+	1.07308i	0.618496	+	0.0463499i
$537$	−11.5290	−	27.0696i	−0.497514	−	1.16814i
$538$		−	21.5161i		−	0.927627i
$539$	−4.01236	+	19.8795i	−0.172824	+	0.856271i
$540$	4.87707	−	4.62713i	0.209876	−	0.199120i
$541$	−8.86720	+	22.5933i	−0.381231	+	0.971360i	0.603513	+	0.797353i	$0.293767\pi$
$541$	−8.86720	+	22.5933i	−0.381231	+	0.971360i	−0.984744	+	0.174008i	$0.944328\pi$
$542$	−0.746716	+	9.96423i	−0.0320742	+	0.428000i
$543$	12.4957	−	0.357921i	0.536240	−	0.0153599i
$544$	0.743676	−	1.09077i	0.0318848	−	0.0467665i
$545$	14.4111	+	6.94001i	0.617303	+	0.297277i
$546$	8.78386	−	9.54028i	0.375914	−	0.408286i
$547$	37.0493	−	17.8420i	1.58411	−	0.762869i	0.585265	−	0.810842i	$-0.300991\pi$
$547$	37.0493	−	17.8420i	1.58411	−	0.762869i	0.998849	+	0.0479733i	$0.0152762\pi$
$548$	0.0987214	−	0.654974i	0.00421717	−	0.0279791i
$549$	0.875583	−	0.574744i	0.0373690	−	0.0245295i
$550$	−9.52864	+	1.43621i	−0.406303	+	0.0612403i
$551$	−6.49438	+	6.02590i	−0.276670	+	0.256712i
$552$	−0.161801	+	1.33106i	−0.00688669	+	0.0566539i
$553$	−8.93533	−	24.5379i	−0.379969	−	1.04346i
$554$	−7.30599	−	5.82634i	−0.310402	−	0.247537i
$555$	7.73445	−	8.82988i	0.328309	−	0.374808i
$556$	−4.74598	+	15.3861i	−0.201274	+	0.652515i
$557$	4.70209	+	2.71475i	0.199234	+	0.115028i	0.596298	−	0.802763i	$-0.296638\pi$
$557$	4.70209	+	2.71475i	0.199234	+	0.115028i	−0.397064	+	0.917791i	$0.629971\pi$
$558$	21.1674	−	11.7312i	0.896088	−	0.496622i
$559$	3.94354	−	0.900088i	0.166794	−	0.0380697i
$560$	−2.19991	+	2.62257i	−0.0929633	+	0.110824i
$561$	3.47526	+	5.63998i	0.146726	+	0.238120i
$562$	−18.0395	+	5.56444i	−0.760950	+	0.234722i
$563$	1.57683	+	4.01769i	0.0664553	+	0.169325i	0.960243	−	0.279164i	$-0.0900574\pi$
$563$	1.57683	+	4.01769i	0.0664553	+	0.169325i	−0.893788	+	0.448490i	$0.851962\pi$
$564$	−1.99003	+	4.45428i	−0.0837955	+	0.187559i
$565$	−4.54121	−	14.7222i	−0.191050	−	0.619369i
$566$	−3.10796	+	13.6169i	−0.130637	+	0.572360i
$567$	−20.7974	−	11.5960i	−0.873410	−	0.486985i
$568$	1.29353	+	5.66734i	0.0542754	+	0.237796i
$569$	5.47152	−	3.15898i	0.229378	−	0.132432i	−0.380907	−	0.924613i	$-0.624388\pi$
$569$	5.47152	−	3.15898i	0.229378	−	0.132432i	0.610285	+	0.792182i	$0.291055\pi$
$570$	−5.41415	+	1.39998i	−0.226774	+	0.0586387i
$571$	9.33891	+	2.88067i	0.390821	+	0.120552i	0.483937	−	0.875103i	$-0.339206\pi$
$571$	9.33891	+	2.88067i	0.390821	+	0.120552i	−0.0931156	+	0.995655i	$0.529683\pi$
$572$	−0.612691	−	8.17580i	−0.0256179	−	0.341847i
$573$	−1.56487	−	15.0749i	−0.0653732	−	0.629763i
$574$	−21.1744	−	2.11552i	−0.883801	−	0.0883002i
$575$	−2.01311	+	1.60540i	−0.0839526	+	0.0669500i
$576$	2.00166	+	2.23458i	0.0834025	+	0.0931076i
$577$	2.23365	+	14.8193i	0.0929879	+	0.616934i	0.985980	+	0.166862i	$0.0533635\pi$
$577$	2.23365	+	14.8193i	0.0929879	+	0.616934i	−0.892992	+	0.450072i	$0.851398\pi$
$578$	8.59467	+	12.6061i	0.357491	+	0.524343i
$579$	−17.3884	−	23.9979i	−0.722639	−	0.997318i
$580$	−1.99292	−	4.13834i	−0.0827515	−	0.171835i
$581$	12.0738	−	10.6585i	0.500905	−	0.442188i
$582$	−4.35589	−	12.8074i	−0.180557	−	0.530883i
$583$	−26.6863	−	18.1944i	−1.10523	−	0.753534i
$584$	4.82713	+	4.47892i	0.199748	+	0.185339i
$585$	−1.01269	+	10.9372i	−0.0418694	+	0.452196i
$586$	8.60383	+	3.37675i	0.355421	+	0.139492i
$587$	−13.8622			−0.572154			−0.286077	−	0.958207i	$-0.592351\pi$
$587$	−13.8622			−0.572154			−0.286077	+	0.958207i	$0.592351\pi$
$588$	11.1911	+	4.66468i	0.461513	+	0.192368i
$589$	−20.1310			−0.829482
$590$	12.3283	+	4.83849i	0.507547	+	0.199197i
$591$	−26.0115	−	30.7673i	−1.06997	−	1.26560i
$592$	3.83983	+	3.56284i	0.157816	+	0.146432i
$593$	18.3948	+	12.5414i	0.755384	+	0.515012i	0.878711	−	0.477354i	$-0.158404\pi$
$593$	18.3948	+	12.5414i	0.755384	+	0.515012i	−0.123327	+	0.992366i	$0.539356\pi$
$594$	−14.3353	+	4.59684i	−0.588184	+	0.188610i
$595$	2.16186	+	3.96839i	0.0886276	+	0.162688i
$596$	3.87690	+	8.05047i	0.158804	+	0.329760i
$597$	1.00253	−	0.726419i	0.0410310	−	0.0297304i
$598$	−1.23409	−	1.81008i	−0.0504658	−	0.0740197i
$599$	0.516028	+	3.42362i	0.0210843	+	0.139885i	0.996896	−	0.0787262i	$-0.0250853\pi$
$599$	0.516028	+	3.42362i	0.0210843	+	0.139885i	−0.975812	+	0.218612i	$0.929847\pi$
$600$	−0.265853	+	5.75478i	−0.0108534	+	0.234938i
$601$	12.4247	−	9.90840i	0.506816	−	0.404172i	−0.336423	−	0.941711i	$-0.609217\pi$
$601$	12.4247	−	9.90840i	0.506816	−	0.404172i	0.843239	+	0.537539i	$0.180646\pi$
$602$	2.05227	+	3.17647i	0.0836444	+	0.129463i
$603$	33.2039	+	27.4450i	1.35217	+	1.11765i
$604$	−0.736395	−	9.82650i	−0.0299635	−	0.399835i
$605$	3.22218	+	0.993911i	0.131000	+	0.0404082i
$606$	−4.99593	−	19.3208i	−0.202946	−	0.784855i
$607$	−29.3376	+	16.9381i	−1.19078	+	0.687496i	−0.958483	−	0.285150i	$-0.907957\pi$
$607$	−29.3376	+	16.9381i	−1.19078	+	0.687496i	−0.232295	+	0.972645i	$0.574623\pi$
$608$	−0.555298	−	2.43292i	−0.0225203	−	0.0986679i
$609$	−11.8832	+	11.1116i	−0.481530	+	0.450263i
$610$	0.100512	−	0.440371i	0.00406960	−	0.0178301i
$611$	−2.34945	−	7.61672i	−0.0950485	−	0.308140i
$612$	3.71152	−	1.38209i	0.150029	−	0.0558677i
$613$	−11.5298	−	29.3775i	−0.465685	−	1.18655i	−0.950166	−	0.311744i	$-0.899087\pi$
$613$	−11.5298	−	29.3775i	−0.465685	−	1.18655i	0.484481	−	0.874802i	$-0.339008\pi$
$614$	−6.38672	+	1.97004i	−0.257747	+	0.0795044i
$615$	15.3447	−	9.45515i	0.618757	−	0.381268i
$616$	6.98644	−	3.15370i	0.281492	−	0.127066i
$617$	−15.3989	+	3.51470i	−0.619936	+	0.141496i	−0.520943	−	0.853592i	$-0.674419\pi$
$617$	−15.3989	+	3.51470i	−0.619936	+	0.141496i	−0.0989936	+	0.995088i	$0.531562\pi$
$618$	8.75754	−	31.5741i	0.352280	−	1.27010i
$619$	−9.23359	−	5.33102i	−0.371129	−	0.214272i	0.302822	−	0.953047i	$-0.402071\pi$
$619$	−9.23359	−	5.33102i	−0.371129	−	0.214272i	−0.673952	+	0.738775i	$0.735404\pi$
$620$	3.07638	−	9.97336i	0.123550	−	0.400540i
$621$	−2.70313	+	2.97897i	−0.108473	+	0.119542i
$622$	−16.5241	−	13.1776i	−0.662557	−	0.528372i
$623$	36.7637	+	12.3456i	1.47291	+	0.494618i
$624$	−4.86568	−	0.591459i	−0.194783	−	0.0236773i
$625$	−1.97417	+	1.83176i	−0.0789668	+	0.0732705i
$626$	−26.5939	+	4.00839i	−1.06291	+	0.160207i
$627$	12.2834	+	2.43584i	0.490551	+	0.0972780i
$628$	−2.38286	+	15.8093i	−0.0950866	+	0.630858i
$629$	6.23039	−	3.00040i	0.248422	−	0.119634i
$630$	−9.93226	+	2.60917i	−0.395711	+	0.103952i
$631$	−22.3205	−	10.7490i	−0.888567	−	0.427911i	−0.0668208	−	0.997765i	$-0.521286\pi$
$631$	−22.3205	−	10.7490i	−0.888567	−	0.427911i	−0.821746	+	0.569854i	$0.807000\pi$
$632$	−5.56009	+	8.15515i	−0.221168	+	0.324394i
$633$	1.12544	+	39.2911i	0.0447323	+	1.56168i
$634$	2.57191	−	34.3198i	0.102144	−	1.36301i
$635$	−1.31173	+	3.34223i	−0.0520543	+	0.132632i
$636$	−13.7728	+	13.5335i	−0.546128	+	0.536638i
$637$	−18.7757	+	6.31474i	−0.743921	+	0.250199i
$638$			10.2855i			0.407207i
$639$	−6.65483	+	16.1196i	−0.263261	+	0.637681i
$640$	1.29019	+	0.0966861i	0.0509991	+	0.00382186i
$641$	−23.2657	+	25.0744i	−0.918938	+	0.990380i	−0.999980	−	0.00633071i	$-0.997985\pi$
$641$	−23.2657	+	25.0744i	−0.918938	+	0.990380i	0.0810416	+	0.996711i	$0.474175\pi$
$642$	4.88130	+	27.0962i	0.192650	+	1.06940i
$643$	−5.55197	+	11.5288i	−0.218948	+	0.454651i	−0.981293	−	0.192520i	$-0.938334\pi$
$643$	−5.55197	+	11.5288i	−0.218948	+	0.454651i	0.762345	+	0.647171i	$0.224048\pi$
$644$	1.19537	−	1.66320i	0.0471041	−	0.0655391i
$645$	−3.01400	−	1.08438i	−0.118676	−	0.0426976i
$646$	−3.25766	−	0.491013i	−0.128171	−	0.0193187i
$647$	−9.02775	+	6.15502i	−0.354917	+	0.241979i	−0.727632	−	0.685967i	$-0.759379\pi$
$647$	−9.02775	+	6.15502i	−0.354917	+	0.241979i	0.372715	+	0.927946i	$0.378427\pi$
$648$	1.02864	+	8.94102i	0.0404087	+	0.351237i
$649$	−20.1716	−	21.7398i	−0.791803	−	0.853361i
$650$	−5.86853	−	7.35890i	−0.230183	−	0.288640i
$651$	−36.9671	+	0.142566i	−1.44886	+	0.00558759i
$652$	13.8791	−	17.4038i	0.543546	−	0.681585i
$653$	−26.8039	+	2.00867i	−1.04892	+	0.0786055i	−0.588019	−	0.808847i	$-0.700092\pi$
$653$	−26.8039	+	2.00867i	−1.04892	+	0.0786055i	−0.460899	+	0.887453i	$0.652473\pi$
$654$	−19.0186	+	9.83935i	−0.743685	+	0.384749i
$655$	9.35026	−	16.1951i	0.365345	−	0.632796i
$656$	4.02150	+	6.96544i	0.157013	+	0.271955i
$657$	4.05764	+	19.3337i	0.158304	+	0.754281i
$658$	5.93970	−	4.50059i	0.231554	−	0.175451i
$659$	22.1147	+	5.04755i	0.861468	+	0.196624i	0.630359	−	0.776303i	$-0.282908\pi$
$659$	22.1147	+	5.04755i	0.861468	+	0.196624i	0.231109	+	0.972928i	$0.425765\pi$
$660$	−3.08390	+	5.71325i	−0.120041	+	0.222388i
$661$	−2.51612	+	0.987506i	−0.0978659	+	0.0384095i	−0.413769	−	0.910382i	$-0.635788\pi$
$661$	−2.51612	+	0.987506i	−0.0978659	+	0.0384095i	0.315903	+	0.948792i	$0.397693\pi$
$662$	8.64796	−	3.39408i	0.336113	−	0.131915i
$663$	−3.07362	+	5.69421i	−0.119370	+	0.221145i
$664$	−5.93460	−	1.35453i	−0.230307	−	0.0525661i
$665$	8.27844	+	2.10659i	0.321024	+	0.0816902i
$666$	3.22773	+	15.3794i	0.125072	+	0.595938i
$667$	1.37417	+	2.38014i	0.0532082	+	0.0921593i
$668$	−4.65294	+	8.05913i	−0.180028	+	0.311817i
$669$	−16.5764	+	8.57589i	−0.640882	+	0.331563i
$670$	18.5263	−	1.38835i	0.715733	−	0.0536367i
$671$	−0.630644	+	0.790803i	−0.0243458	+	0.0305286i
$672$	−1.03694	−	4.46372i	−0.0400009	−	0.172192i
$673$	17.4972	+	21.9407i	0.674466	+	0.845753i	0.994831	−	0.101541i	$-0.0323772\pi$
$673$	17.4972	+	21.9407i	0.674466	+	0.845753i	−0.320366	+	0.947294i	$0.603806\pi$
$674$	9.79555	+	10.5571i	0.377311	+	0.406644i
$675$	−10.6249	+	13.6311i	−0.408952	+	0.524660i
$676$	−4.12439	+	2.81196i	−0.158630	+	0.108152i
$677$	−2.89647	−	0.436573i	−0.111320	−	0.0167789i	0.0931458	−	0.995652i	$-0.470308\pi$
$677$	−2.89647	−	0.436573i	−0.111320	−	0.0167789i	−0.204466	+	0.978874i	$0.565546\pi$
$678$	19.4075	+	6.98248i	0.745340	+	0.268161i
$679$	−3.58515	+	20.3507i	−0.137586	+	0.780990i
$680$	0.741089	−	1.53889i	0.0284195	−	0.0590137i
$681$	2.53654	+	14.0804i	0.0972005	+	0.539562i
$682$	−15.8967	+	17.1325i	−0.608715	+	0.656039i
$683$	−19.9680	−	1.49639i	−0.764053	−	0.0572579i	−0.312998	−	0.949754i	$-0.601333\pi$
$683$	−19.9680	−	1.49639i	−0.764053	−	0.0572579i	−0.451055	+	0.892496i	$0.648952\pi$
$684$	2.85684	−	6.91994i	0.109234	−	0.264591i
$685$		−	0.856980i		−	0.0327435i
$686$	−11.5539	−	14.4744i	−0.441129	−	0.552635i
$687$	29.1504	−	28.6438i	1.11216	−	1.09283i
$688$	0.522209	−	1.33057i	0.0199090	−	0.0507274i
$689$	2.35759	−	31.4598i	0.0898170	−	1.19852i
$690$	0.0496711	+	1.73410i	0.00189095	+	0.0660162i
$691$	−16.1900	+	23.7464i	−0.615897	+	0.903355i	−0.999800	−	0.0200185i	$-0.993627\pi$
$691$	−16.1900	+	23.7464i	−0.615897	+	0.903355i	0.383903	+	0.923374i	$0.374580\pi$
$692$	−11.3353	−	5.45880i	−0.430904	−	0.207512i
$693$	22.5736	+	4.38602i	0.857501	+	0.166611i
$694$	−3.69306	+	1.77848i	−0.140187	+	0.0675103i
$695$	−3.10486	+	20.5994i	−0.117774	+	0.781381i
$696$	6.03160	+	1.19609i	0.228627	+	0.0453376i
$697$	10.4995	−	1.58255i	0.397697	−	0.0599432i
$698$	−7.39788	+	6.86423i	−0.280014	+	0.259815i
$699$	−11.3964	−	1.38531i	−0.431050	−	0.0523972i
$700$	4.58745	−	7.50963i	0.173389	−	0.283837i
$701$	23.7959	+	18.9766i	0.898761	+	0.716738i	0.959587	−	0.281411i	$-0.0908023\pi$
$701$	23.7959	+	18.9766i	0.898761	+	0.716738i	−0.0608268	+	0.998148i	$0.519374\pi$
$702$	−10.8896	−	9.88126i	−0.411001	−	0.372944i
$703$	3.85296	−	12.4910i	0.145317	−	0.471106i
$704$	−2.50905	−	1.44860i	−0.0945632	−	0.0545961i
$705$	−1.68703	+	6.08235i	−0.0635372	+	0.229074i
$706$	27.4904	−	6.27450i	1.03461	−	0.236144i
$707$	−7.51754	+	29.5422i	−0.282726	+	1.11105i
$708$	−15.0943	+	9.30088i	−0.567279	+	0.349548i
$709$	8.44750	−	2.60571i	0.317252	−	0.0978594i	−0.132039	−	0.991244i	$-0.542153\pi$
$709$	8.44750	−	2.60571i	0.317252	−	0.0978594i	0.449292	+	0.893385i	$0.351676\pi$
$710$	2.74773	+	7.00110i	0.103120	+	0.262746i
$711$	−27.7491	+	10.3332i	−1.04067	+	0.387525i
$712$	−4.32050	−	14.0067i	−0.161918	−	0.524924i
$713$	−1.38964	+	6.08843i	−0.0520426	+	0.228013i
$714$	−5.98562	−	0.878593i	−0.224006	−	0.0328805i
$715$	−2.36040	−	10.3416i	−0.0882740	−	0.386754i
$716$	14.7112	−	8.49354i	0.549785	−	0.317418i
$717$	11.3225	+	43.7877i	0.422847	+	1.63528i
$718$	−21.8128	−	6.72835i	−0.814045	−	0.251100i
$719$	−3.45609	−	46.1183i	−0.128890	−	1.71992i	−0.569303	−	0.822127i	$-0.692787\pi$
$719$	−3.45609	−	46.1183i	−0.128890	−	1.71992i	0.440413	−	0.897795i	$-0.354832\pi$
$720$	2.99173	+	2.47284i	0.111495	+	0.0921573i
$721$	−34.9420	+	35.8353i	−1.30131	+	1.33458i
$722$	9.98598	−	7.96355i	0.371640	−	0.296373i
$723$	1.64668	−	35.6449i	0.0612408	−	1.32565i
$724$	1.07569	+	7.13672i	0.0399776	+	0.265234i
$725$	6.65172	+	9.75629i	0.247039	+	0.362339i
$726$	−3.65544	+	2.64867i	−0.135666	+	0.0983014i
$727$	−10.4548	−	21.7096i	−0.387747	−	0.805165i	−0.999896	−	0.0144224i	$-0.995409\pi$
$727$	−10.4548	−	21.7096i	−0.387747	−	0.805165i	0.612149	−	0.790742i	$-0.290305\pi$
$728$	6.07979	+	4.36965i	0.225332	+	0.161950i
$729$	−12.9773	+	23.6768i	−0.480639	+	0.876918i
$730$	7.03929	+	4.79931i	0.260536	+	0.177630i
$731$	−1.38328	−	1.28349i	−0.0511623	−	0.0474717i
$732$	0.390404	+	0.461783i	0.0144298	+	0.0170680i
$733$	35.8963	+	14.0883i	1.32586	+	0.520361i	0.919406	−	0.393310i	$-0.128670\pi$
$733$	35.8963	+	14.0883i	1.32586	+	0.520361i	0.406453	+	0.913672i	$0.366765\pi$
$734$	5.34904			0.197437
$735$	15.2169	+	3.80978i	0.561283	+	0.140526i
$736$	−0.774147			−0.0285355
$737$	−38.7261	−	15.1989i	−1.42650	−	0.559858i
$738$	−2.22462	+	24.0262i	−0.0818893	+	0.884418i
$739$	22.9422	+	21.2872i	0.843941	+	0.783063i	0.978152	−	0.207890i	$-0.0666596\pi$
$739$	22.9422	+	21.2872i	0.843941	+	0.783063i	−0.134211	+	0.990953i	$0.542850\pi$
$740$	5.59953	+	3.81769i	0.205843	+	0.140341i
$741$	3.93852	+	11.5802i	0.144685	+	0.425409i
$742$	28.3917	−	7.99290i	1.04229	−	0.293429i
$743$	−17.7924	−	36.9464i	−0.652741	−	1.35543i	−0.920043	−	0.391818i	$-0.871846\pi$
$743$	−17.7924	−	36.9464i	−0.652741	−	1.35543i	0.267302	−	0.963613i	$-0.413868\pi$
$744$	8.19822	+	11.3144i	0.300561	+	0.414806i
$745$	6.51231	+	9.55181i	0.238593	+	0.349951i
$746$	−3.10544	−	20.6033i	−0.113698	−	0.754340i
$747$	−12.1845	−	13.6024i	−0.445809	−	0.497685i
$748$	−2.99033	+	2.38471i	−0.109337	+	0.0871937i
$749$	13.3882	−	39.8684i	0.489196	−	1.45676i
$750$	1.92648	+	18.5585i	0.0703452	+	0.677659i
$751$	−1.90942	−	25.4794i	−0.0696756	−	0.929756i	−0.917053	−	0.398765i	$-0.869439\pi$
$751$	−1.90942	−	25.4794i	−0.0696756	−	0.929756i	0.847378	−	0.530991i	$-0.178180\pi$
$752$	−2.69153	−	0.830228i	−0.0981501	−	0.0302753i
$753$	24.7705	−	6.40510i	0.902687	−	0.233415i
$754$	−8.70055	+	5.02327i	−0.316855	+	0.182937i
$755$	−2.83697	−	12.4296i	−0.103248	−	0.452359i
$756$	5.19709	−	12.7275i	0.189017	−	0.462896i
$757$	5.05544	−	22.1493i	0.183743	−	0.805031i	−0.796084	−	0.605186i	$-0.793099\pi$
$757$	5.05544	−	22.1493i	0.183743	−	0.805031i	0.979827	−	0.199845i	$-0.0640440\pi$
$758$	0.305077	+	0.989037i	0.0110809	+	0.0359234i
$759$	1.58462	−	3.54686i	0.0575182	−	0.128743i
$760$	−1.17957	−	3.00549i	−0.0427874	−	0.109020i
$761$	−0.531472	+	0.163937i	−0.0192658	+	0.00594272i	−0.304373	−	0.952553i	$-0.598447\pi$
$761$	−0.531472	+	0.163937i	−0.0192658	+	0.00594272i	0.285107	+	0.958496i	$0.407971\pi$
$762$	−2.52149	−	4.09211i	−0.0913440	−	0.148241i
$763$	32.6990	+	0.810423i	1.18378	+	0.0293393i
$764$	8.53087	−	1.94712i	0.308636	−	0.0704442i
$765$	4.48183	−	2.48388i	0.162041	−	0.0898050i
$766$	10.7030	+	6.17940i	0.386716	+	0.223271i
$767$	8.53832	−	27.6805i	0.308301	−	0.999487i
$768$	−1.14126	+	1.30289i	−0.0411816	+	0.0470141i
$769$	5.35752	+	4.27248i	0.193197	+	0.154069i	0.715311	−	0.698806i	$-0.246285\pi$
$769$	5.35752	+	4.27248i	0.193197	+	0.154069i	−0.522114	+	0.852876i	$0.674856\pi$
$770$	8.33000	−	5.38190i	0.300192	−	0.193950i
$771$	−0.131651	+	1.08304i	−0.00474129	+	0.0390046i
$772$	12.5425	−	11.6378i	0.451415	−	0.418852i
$773$	13.5913	−	2.04857i	0.488847	−	0.0736818i	0.100006	−	0.994987i	$-0.468114\pi$
$773$	13.5913	−	2.04857i	0.488847	−	0.0736818i	0.388841	+	0.921305i	$0.372876\pi$
$774$	3.58481	−	2.35311i	0.128853	−	0.0845809i
$775$	−3.99899	+	26.5315i	−0.143648	+	0.953041i
$776$	7.03684	−	3.38876i	0.252608	−	0.121650i
$777$	6.98684	−	22.9649i	0.250652	−	0.823860i
$778$	5.37315	+	2.58757i	0.192637	+	0.0927690i
$779$	11.3065	−	16.5836i	0.405098	−	0.594170i
$780$	−6.33899	+	0.181572i	−0.226972	+	0.00650131i
$781$	1.25858	−	16.7945i	0.0450354	−	0.600956i
$782$	−0.373380	+	0.951356i	−0.0133520	+	0.0340204i
$783$	12.6967	+	13.3825i	0.453743	+	0.478252i
$784$	−1.89381	+	6.73895i	−0.0676360	+	0.240677i
$785$			20.6851i			0.738284i
$786$	9.80977	+	23.0329i	0.349903	+	0.821556i
$787$	−24.8273	−	1.86055i	−0.884996	−	0.0663213i	−0.375528	−	0.926811i	$-0.622539\pi$
$787$	−24.8273	−	1.86055i	−0.884996	−	0.0663213i	−0.509468	+	0.860490i	$0.670158\pi$
$788$	15.8215	−	17.0515i	0.563618	−	0.607436i
$789$	−25.0152	+	4.50641i	−0.890564	+	0.160433i
$790$	−5.54075	+	11.5055i	−0.197131	+	0.409347i
$791$	−20.8506	−	23.6192i	−0.741360	−	0.839803i
$792$	−3.63331	−	7.89574i	−0.129104	−	0.280563i
$793$	−0.976940	−	0.147250i	−0.0346922	−	0.00522900i
$794$	−9.21714	+	6.28414i	−0.327104	+	0.223016i
$795$	−15.0106	+	19.9700i	−0.532372	+	0.708262i
$796$	0.486179	+	0.523976i	0.0172321	+	0.0185718i
$797$	23.8234	+	29.8736i	0.843867	+	1.05818i	0.997543	+	0.0700549i	$0.0223174\pi$
$797$	23.8234	+	29.8736i	0.843867	+	1.05818i	−0.153676	+	0.988121i	$0.549111\pi$
$798$	−8.91327	+	7.16451i	−0.315526	+	0.253621i
$799$	−2.31843	+	2.90722i	−0.0820201	+	0.102850i
$800$	−3.31677	+	0.248557i	−0.117265	+	0.00878783i
$801$	13.6960	−	41.7865i	0.483924	−	1.47645i
$802$	−11.7945	+	20.4287i	−0.416480	+	0.721364i
$803$	−9.53899	−	16.5220i	−0.336624	−	0.583049i
$804$	−13.4163	+	20.9422i	−0.473157	+	0.738576i
$805$	1.20858	−	2.35832i	0.0425969	−	0.0831199i
$806$	−22.2562	−	5.07982i	−0.783940	−	0.178929i
$807$	32.7945	+	17.7018i	1.15442	+	0.623133i
$808$	10.7253	−	4.20937i	0.377315	−	0.148085i
$809$	44.7598	−	17.5669i	1.57367	−	0.617621i	0.591617	−	0.806219i	$-0.298490\pi$
$809$	44.7598	−	17.5669i	1.57367	−	0.617621i	0.982054	+	0.188598i	$0.0603944\pi$
$810$	3.04010	+	11.2404i	0.106818	+	0.394947i
$811$	35.9303	+	8.20085i	1.26168	+	0.287971i	0.800499	−	0.599334i	$-0.204568\pi$
$811$	35.9303	+	8.20085i	1.26168	+	0.287971i	0.461183	+	0.887305i	$0.347425\pi$
$812$	−7.19626	−	6.03649i	−0.252539	−	0.211839i
$813$	−14.5729	−	9.33593i	−0.511096	−	0.327425i
$814$	−7.58796	−	13.1427i	−0.265958	−	0.460653i
$815$	14.4002	−	24.9419i	0.504418	−	0.873678i
$816$	1.05070	+	2.03090i	0.0367817	+	0.0710957i
$817$	−3.55701	+	0.266561i	−0.124444	+	0.00932579i
$818$	−4.66734	+	5.85267i	−0.163190	+	0.204634i
$819$	7.31443	+	21.2372i	0.255587	+	0.742087i
$820$	6.48808	+	8.13580i	0.226574	+	0.284114i
$821$	−13.6583	−	14.7201i	−0.476676	−	0.513735i	0.448236	−	0.893915i	$-0.352052\pi$
$821$	−13.6583	−	14.7201i	−0.476676	−	0.513735i	−0.924912	+	0.380180i	$0.875862\pi$
$822$	0.917079	+	0.689331i	0.0319868	+	0.0240432i
$823$	−34.1608	+	23.2904i	−1.19077	+	0.811854i	−0.985966	−	0.166949i	$-0.946609\pi$
$823$	−34.1608	+	23.2904i	−1.19077	+	0.811854i	−0.204805	+	0.978803i	$0.565656\pi$
$824$	18.7062	+	2.81951i	0.651662	+	0.0982223i
$825$	5.65038	−	15.7050i	0.196721	−	0.546777i
$826$	27.0488	−	1.35412i	0.941148	−	0.0471160i
$827$	−1.02872	+	2.13616i	−0.0357722	+	0.0742817i	−0.918089	−	0.396374i	$-0.870268\pi$
$827$	−1.02872	+	2.13616i	−0.0357722	+	0.0742817i	0.882317	+	0.470656i	$0.155983\pi$
$828$	−1.89567	−	1.34171i	−0.0658790	−	0.0466277i
$829$	10.7960	−	11.6354i	0.374962	−	0.404113i	−0.517174	−	0.855881i	$-0.673016\pi$
$829$	10.7960	−	11.6354i	0.374962	−	0.404113i	0.892136	+	0.451767i	$0.149206\pi$
$830$	−7.85364	−	0.588549i	−0.272604	−	0.0204288i
$831$	14.8912	−	6.34220i	0.516570	−	0.220008i
$832$		−	2.82988i		−	0.0981085i
$833$	7.36815	+	5.57758i	0.255291	+	0.193252i
$834$	−19.5466	−	19.8922i	−0.676842	−	0.688811i
$835$	−4.39871	+	11.2077i	−0.152223	+	0.387859i
$836$	−0.540292	+	7.20970i	−0.0186864	+	0.249353i
$837$	0.465592	+	41.9145i	0.0160932	+	1.44878i
$838$	12.5050	−	18.3415i	0.431979	−	0.633597i
$839$	−12.9797	−	6.25070i	−0.448109	−	0.215798i	0.196199	−	0.980564i	$-0.437140\pi$
$839$	−12.9797	−	6.25070i	−0.448109	−	0.215798i	−0.644308	+	0.764766i	$0.722854\pi$
$840$	−2.18736	−	5.51072i	−0.0754711	−	0.190138i
$841$	−14.7726	+	7.11412i	−0.509401	+	0.245315i
$842$	−0.630895	+	4.18572i	−0.0217421	+	0.144249i
$843$	6.36027	−	32.0734i	0.219059	−	1.10467i
$844$	−22.4406	+	3.38237i	−0.772436	+	0.116426i
$845$	−4.73432	+	4.39280i	−0.162865	+	0.151117i
$846$	−5.15189	−	6.69781i	−0.177126	−	0.230275i
$847$	6.84186	−	0.858466i	0.235089	−	0.0294973i
$848$	−8.71600	−	6.95078i	−0.299309	−	0.238691i
$849$	−18.1976	−	15.9400i	−0.624539	−	0.547059i
$850$	−1.29426	+	4.19588i	−0.0443927	+	0.143918i
$851$	−3.51181	−	2.02755i	−0.120383	−	0.0695034i
$852$	−9.70227	−	2.69107i	−0.332394	−	0.0921945i
$853$	1.36416	−	0.311360i	0.0467079	−	0.0106608i	−0.199103	−	0.979979i	$-0.563803\pi$
$853$	1.36416	−	0.311360i	0.0467079	−	0.0106608i	0.245811	+	0.969318i	$0.420946\pi$
$854$	−0.183165	−	0.905348i	−0.00626778	−	0.0309804i
$855$	2.32052	−	9.40394i	0.0793602	−	0.321608i
$856$	−15.1896	+	4.68537i	−0.519170	+	0.160143i
$857$	4.74799	+	12.0977i	0.162188	+	0.413249i	0.988746	−	0.149603i	$-0.0477995\pi$
$857$	4.74799	+	12.0977i	0.162188	+	0.413249i	−0.826558	+	0.562851i	$0.809704\pi$
$858$	12.9655	+	5.79256i	0.442634	+	0.197755i
$859$	−0.146232	−	0.474074i	−0.00498938	−	0.0161752i	0.953044	−	0.302832i	$-0.0979322\pi$
$859$	−0.146232	−	0.474074i	−0.00498938	−	0.0161752i	−0.958033	+	0.286657i	$0.907456\pi$
$860$	0.411515	−	1.80296i	0.0140325	−	0.0614805i
$861$	20.6451	−	30.5331i	0.703582	−	1.04056i
$862$	1.66214	+	7.28231i	0.0566127	+	0.248036i
$863$	−25.3899	+	14.6589i	−0.864283	+	0.498994i	−0.865444	−	0.501005i	$-0.832964\pi$
$863$	−25.3899	+	14.6589i	−0.864283	+	0.498994i	0.00116097	+	0.999999i	$0.499630\pi$
$864$	−5.05272	+	1.21245i	−0.171897	+	0.0412484i
$865$	−15.5545	−	4.79793i	−0.528869	−	0.163134i
$866$	0.332886	+	4.44205i	0.0113119	+	0.150947i
$867$	−26.2849	+	2.72854i	−0.892683	+	0.0926660i
$868$	−2.65714	−	21.1771i	−0.0901894	−	0.718797i
$869$	22.3572	−	17.8293i	0.758416	−	0.604816i
$870$	7.94720	+	0.367135i	0.269435	+	0.0124470i
$871$	−6.05639	−	40.1815i	−0.205213	−	1.36150i
$872$	−6.96423	−	10.2147i	−0.235839	−	0.345912i
$873$	23.1044	+	3.89775i	0.781967	+	0.131919i
$874$	0.838209	+	1.74056i	0.0283528	+	0.0588753i
$875$	11.0667	−	26.2646i	0.374122	−	0.887904i
$876$	−10.7981	+	3.67251i	−0.364833	+	0.124083i
$877$	16.4204	+	11.1952i	0.554477	+	0.378036i	0.807900	−	0.589320i	$-0.200604\pi$
$877$	16.4204	+	11.1952i	0.554477	+	0.378036i	−0.253423	+	0.967356i	$0.581557\pi$
$878$	−28.5876	−	26.5254i	−0.964786	−	0.895191i
$879$	−12.2253	+	10.3357i	−0.412351	+	0.348613i
$880$	−3.48929	−	1.36945i	−0.117624	−	0.0461640i
$881$	32.7738			1.10418			0.552088	−	0.833786i	$-0.313831\pi$
$881$	32.7738			1.10418			0.552088	+	0.833786i	$0.313831\pi$
$882$	−16.3170	+	13.2195i	−0.549421	+	0.445125i
$883$	11.6160			0.390909			0.195454	−	0.980713i	$-0.437382\pi$
$883$	11.6160			0.390909			0.195454	+	0.980713i	$0.437382\pi$
$884$	−3.47766	−	1.36488i	−0.116967	−	0.0459060i
$885$	−17.5175	+	14.8098i	−0.588843	+	0.497825i
$886$	−28.0432	−	26.0203i	−0.942130	−	0.874169i
$887$	25.2121	+	17.1893i	0.846538	+	0.577160i	0.907057	−	0.421007i	$-0.138323\pi$
$887$	25.2121	+	17.1893i	0.846538	+	0.577160i	−0.0605192	+	0.998167i	$0.519276\pi$
$888$	−8.58953	+	2.92137i	−0.288246	+	0.0980346i
$889$	0.367107	+	7.33300i	0.0123124	+	0.245941i
$890$	−8.22838	−	17.0864i	−0.275816	−	0.572738i
$891$	4.78754	−	25.6315i	0.160389	−	0.858687i
$892$	−6.06996	−	8.90300i	−0.203237	−	0.298095i
$893$	1.04761	+	6.95045i	0.0350570	+	0.232588i
$894$	−15.4600	−	0.714202i	−0.517059	−	0.0238865i
$895$	17.1831	−	13.7030i	0.574366	−	0.458042i
$896$	2.48605	−	0.905283i	0.0830532	−	0.0302434i
$897$	3.77420	−	0.391786i	0.126017	−	0.0130813i
$898$	1.67354	+	22.3319i	0.0558468	+	0.745224i
$899$	27.3666	+	8.44147i	0.912727	+	0.281539i
$900$	−8.55261	−	5.13980i	−0.285087	−	0.171327i
$901$	−12.7457	+	7.35873i	−0.424620	+	0.245155i
$902$	−5.18522	−	22.7179i	−0.172649	−	0.756424i
$903$	−6.52996	+	0.514685i	−0.217303	+	0.0171276i
$904$	−2.64979	+	11.6095i	−0.0881308	+	0.386126i
$905$	2.75237	+	8.92296i	0.0914918	+	0.296609i
$906$	15.5832	+	6.96209i	0.517718	+	0.231300i
$907$	8.95690	+	22.8218i	0.297409	+	0.757786i	0.998979	+	0.0451850i	$0.0143877\pi$
$907$	8.95690	+	22.8218i	0.297409	+	0.757786i	−0.701570	+	0.712601i	$0.747517\pi$
$908$	−7.89320	+	2.43473i	−0.261945	+	0.0807993i
$909$	33.5587	+	8.28097i	1.11307	+	0.274662i
$910$	8.62081	+	4.41795i	0.285777	+	0.146454i
$911$	40.6206	−	9.27140i	1.34582	−	0.307175i	0.511894	−	0.859049i	$-0.328944\pi$
$911$	40.6206	−	9.27140i	1.34582	−	0.307175i	0.833928	+	0.551873i	$0.186087\pi$
$912$	4.16507	+	1.15524i	0.137919	+	0.0382539i
$913$	15.2731	+	8.81793i	0.505466	+	0.291831i
$914$	−1.73873	+	5.63682i	−0.0575120	+	0.186449i
$915$	0.588512	+	0.515501i	0.0194556	+	0.0170419i
$916$	18.4475	+	14.7114i	0.609524	+	0.486079i
$917$	3.80176	−	38.0520i	0.125545	−	1.25659i
$918$	−0.946991	+	6.79410i	−0.0312554	+	0.224239i
$919$	1.87529	−	1.74002i	0.0618601	−	0.0573978i	−0.648637	−	0.761098i	$-0.724661\pi$
$919$	1.87529	−	1.74002i	0.0618601	−	0.0573978i	0.710497	+	0.703700i	$0.248470\pi$
$920$	−0.990409	+	0.149280i	−0.0326528	+	0.00492162i
$921$	2.25180	−	11.3553i	0.0741992	−	0.374170i
$922$	−4.36778	+	28.9783i	−0.143845	+	0.954351i
$923$	14.8212	−	7.13754i	0.487847	−	0.234935i
$924$	−0.941097	+	13.2432i	−0.0309598	+	0.435670i
$925$	−15.6971	−	7.55931i	−0.516116	−	0.248548i
$926$	−10.1085	+	14.8264i	−0.332184	+	0.487225i
$927$	40.9196	+	39.3248i	1.34398	+	1.29160i
$928$	−0.265304	+	3.54023i	−0.00870902	+	0.116214i
$929$	10.5420	−	26.8605i	0.345871	−	0.881265i	−0.647046	−	0.762451i	$-0.723996\pi$
$929$	10.5420	−	26.8605i	0.345871	−	0.881265i	0.992917	−	0.118814i	$-0.0379091\pi$
$930$	12.6702	+	12.8943i	0.415472	+	0.422820i
$931$	17.2021	−	3.03866i	0.563776	−	0.0995879i
$932$		−	6.62812i		−	0.217111i
$933$	33.6798	−	14.3443i	1.10263	−	0.469611i
$934$	21.4893	+	1.61040i	0.703152	+	0.0526939i
$935$	−3.36585	+	3.62752i	−0.110075	+	0.118633i
$936$	4.90460	−	6.92958i	0.160312	−	0.226500i
$937$	−6.09758	+	12.6618i	−0.199199	+	0.413642i	−0.976509	−	0.215477i	$-0.930870\pi$
$937$	−6.09758	+	12.6618i	−0.199199	+	0.413642i	0.777310	+	0.629118i	$0.216584\pi$
$938$	33.3620	−	18.1746i	1.08931	−	0.593423i
$939$	15.7699	−	43.8317i	0.514631	−	1.43039i
$940$	−3.60352	−	0.543143i	−0.117534	−	0.0177154i
$941$	−49.8672	+	33.9989i	−1.62563	+	1.10833i	−0.711674	+	0.702510i	$0.752063\pi$
$941$	−49.8672	+	33.9989i	−1.62563	+	1.10833i	−0.913952	+	0.405823i	$0.866985\pi$
$942$	−22.1357	−	16.6385i	−0.721221	−	0.542113i
$943$	−4.23508	−	4.56433i	−0.137913	−	0.148635i
$944$	−6.38222	−	8.00305i	−0.207724	−	0.260477i
$945$	4.19465	−	17.2852i	0.136452	−	0.562287i
$946$	−2.58198	+	3.23770i	−0.0839474	+	0.105267i
$947$	−33.7943	+	2.53253i	−1.09817	+	0.0822962i	−0.611465	−	0.791272i	$-0.709419\pi$
$947$	−33.7943	+	2.53253i	−1.09817	+	0.0822962i	−0.486702	+	0.873568i	$0.661800\pi$
$948$	−7.85551	−	15.1840i	−0.255135	−	0.493153i
$949$	9.31736	−	16.1381i	0.302454	−	0.523866i
$950$	4.15008	+	7.18815i	0.134646	+	0.233214i
$951$	50.1936	+	32.1557i	1.62764	+	1.04272i
$952$	0.0865410	−	3.49176i	0.00280481	−	0.113169i
$953$	−58.0649	−	13.2529i	−1.88091	−	0.429305i	−0.881802	−	0.471620i	$-0.843669\pi$
$953$	−58.0649	−	13.2529i	−1.88091	−	0.429305i	−0.999104	+	0.0423154i	$0.986527\pi$
$954$	−9.29629	−	32.1266i	−0.300979	−	1.04014i
$955$	10.5385	−	4.13607i	0.341019	−	0.133840i
$956$	−24.3073	+	9.53991i	−0.786154	+	0.308543i
$957$	−15.6770	−	8.46211i	−0.506764	−	0.273541i
$958$	−19.8917	−	4.54015i	−0.642672	−	0.146686i
$959$	−0.721015	−	1.59728i	−0.0232828	−	0.0515788i
$960$	−1.20883	+	1.88693i	−0.0390149	+	0.0609005i
$961$	17.0378	+	29.5103i	0.549607	+	0.951946i
$962$	7.41166	−	12.8374i	0.238962	−	0.413894i
$963$	−45.3154	−	14.8526i	−1.46027	−	0.478620i
$964$	20.5439	−	1.53956i	0.661676	−	0.0495858i
$965$	13.8022	−	17.3074i	0.444308	−	0.557145i
$966$	1.55156	+	3.19031i	0.0499205	+	0.102646i
$967$	14.0812	+	17.6573i	0.452821	+	0.567819i	0.954872	−	0.297019i	$-0.0959924\pi$
$967$	14.0812	+	17.6573i	0.452821	+	0.567819i	−0.502051	+	0.864838i	$0.667421\pi$
$968$	−1.77270	−	1.91052i	−0.0569769	−	0.0614065i
$969$	3.42854	−	4.56130i	0.110141	−	0.146530i
$970$	8.34915	−	5.69236i	0.268075	−	0.182771i
$971$	50.4011	+	7.59674i	1.61745	+	0.243791i	0.894485	−	0.447097i	$-0.147542\pi$
$971$	50.4011	+	7.59674i	1.61745	+	0.243791i	0.722962	+	0.690888i	$0.242780\pi$
$972$	−14.4740	−	5.78815i	−0.464254	−	0.185655i
$973$	11.5442	+	41.0064i	0.370091	+	1.31460i
$974$	6.18923	−	12.8521i	0.198316	−	0.411807i
$975$	16.0445	−	2.89037i	0.513834	−	0.0925658i
$976$	−0.237463	+	0.255925i	−0.00760102	+	0.00819195i
$977$	48.1343	+	3.60717i	1.53995	+	0.115403i	0.817464	−	0.575980i	$-0.195379\pi$
$977$	48.1343	+	3.60717i	1.53995	+	0.115403i	0.722488	+	0.691383i	$0.242998\pi$
$978$	15.1079	+	35.4727i	0.483098	+	1.13429i
$979$			42.4669i			1.35725i
$980$	−1.12337	+	8.98669i	−0.0358847	+	0.287069i
$981$	0.650060	−	37.0828i	0.0207548	−	1.18396i
$982$	9.60285	−	24.4677i	0.306439	−	0.780794i
$983$	0.719461	−	9.60054i	0.0229472	−	0.306210i	−0.973907	−	0.226949i	$-0.927125\pi$
$983$	0.719461	−	9.60054i	0.0229472	−	0.306210i	0.996854	−	0.0792607i	$-0.0252560\pi$
$984$	−13.9252	+	0.398868i	−0.443918	+	0.0127155i
$985$	16.9532	−	24.8658i	0.540175	−	0.792291i
$986$	4.22266	+	2.03352i	0.134477	+	0.0647606i
$987$	1.97299	+	12.7559i	0.0628008	+	0.406025i
$988$	−6.36259	+	3.06406i	−0.202421	+	0.0974807i
$989$	−0.164922	+	1.09419i	−0.00524422	+	0.0347931i
$990$	−6.17083	−	9.40084i	−0.196122	−	0.298778i
$991$	−49.9862	+	7.53421i	−1.58786	+	0.239332i	−0.882778	−	0.469790i	$-0.844330\pi$
$991$	−49.9862	+	7.53421i	−1.58786	+	0.239332i	−0.705086	+	0.709122i	$0.749092\pi$
$992$	−5.91349	+	5.48692i	−0.187753	+	0.174210i
$993$	−1.94169	+	15.9734i	−0.0616176	+	0.506902i
$994$	11.0117	+	10.7372i	0.349269	+	0.340562i
$995$	0.723034	+	0.576600i	0.0229217	+	0.0182795i
$996$	6.94708	−	7.93099i	0.220127	−	0.251303i
$997$	8.24473	−	26.7288i	0.261113	−	0.846508i	−0.726167	−	0.687518i	$-0.758700\pi$
$997$	8.24473	−	26.7288i	0.261113	−	0.846508i	0.987280	−	0.158990i	$-0.0508238\pi$
$998$	12.1892	+	7.03741i	0.385841	+	0.222765i
$999$	−26.0965	−	7.73331i	−0.825656	−	0.244671i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	294.2.p.a.101.8	✓	216
3.2	odd	2	inner	294.2.p.a.101.15	yes	216
49.33	odd	42	inner	294.2.p.a.131.15	yes	216
147.131	even	42	inner	294.2.p.a.131.8	yes	216

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
294.2.p.a.101.8	✓	216	1.1	even	1	trivial
294.2.p.a.101.15	yes	216	3.2	odd	2	inner
294.2.p.a.131.8	yes	216	147.131	even	42	inner
294.2.p.a.131.15	yes	216	49.33	odd	42	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 294 = 2 \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	294.p (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.930874 - 0.365341i) q^{2} +(1.32270 - 1.11825i) q^{3} +(0.733052 + 0.680173i) q^{4} +(1.06899 + 0.728826i) q^{5} +(-1.63980 + 0.557710i) q^{6} +(2.60563 + 0.459029i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(0.499053 - 2.95820i) q^{9} +(-0.728826 - 1.06899i) q^{10} +(0.431805 + 2.86484i) q^{11} +(1.73021 + 0.0799300i) q^{12} +(-2.21249 + 1.76440i) q^{13} +(-2.25781 - 1.37924i) q^{14} +(2.22896 - 0.231380i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(1.26151 + 0.389126i) q^{17} +(-1.54531 + 2.57139i) q^{18} +(2.16116 - 1.24774i) q^{19} +(0.287899 + 1.26137i) q^{20} +(3.95976 - 2.30658i) q^{21} +(0.644687 - 2.82456i) q^{22} +(-0.228184 - 0.739754i) q^{23} +(-1.58140 - 0.706520i) q^{24} +(-1.21515 - 3.09615i) q^{25} +(2.70416 - 0.834123i) q^{26} +(-2.64790 - 4.47086i) q^{27} +(1.59784 + 2.10877i) q^{28} +(-3.46115 + 0.789984i) q^{29} +(-2.15941 - 0.598945i) q^{30} +(-6.98618 - 4.03347i) q^{31} +(0.294755 - 0.955573i) q^{32} +(3.77474 + 3.30645i) q^{33} +(-1.03215 - 0.823110i) q^{34} +(2.45084 + 2.38975i) q^{35} +(2.37792 - 1.82907i) q^{36} +(3.83983 - 3.56284i) q^{37} +(-2.46761 + 0.371933i) q^{38} +(-0.953419 + 4.80788i) q^{39} +(0.192832 - 1.27935i) q^{40} +(7.24650 - 3.48973i) q^{41} +(-4.52872 + 0.700468i) q^{42} +(-1.28782 - 0.620182i) q^{43} +(-1.63205 + 2.39378i) q^{44} +(2.68950 - 2.79857i) q^{45} +(-0.0578521 + 0.771983i) q^{46} +(-1.02904 + 2.62196i) q^{47} +(1.21396 + 1.23543i) q^{48} +(6.57859 + 2.39212i) q^{49} +3.32607i q^{50} +(2.10374 - 0.895988i) q^{51} +(-2.82197 - 0.211477i) q^{52} +(-7.58269 + 8.17220i) q^{53} +(0.831470 + 5.12920i) q^{54} +(-1.62637 + 3.37720i) q^{55} +(-0.716969 - 2.54675i) q^{56} +(1.46327 - 4.06709i) q^{57} +(3.51051 + 0.529124i) q^{58} +(-8.45762 + 5.76631i) q^{59} +(1.79132 + 1.34646i) q^{60} +(0.237463 + 0.255925i) q^{61} +(5.02966 + 6.30699i) q^{62} +(2.65824 - 7.47889i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(-3.65108 + 0.273610i) q^{65} +(-2.30582 - 4.45695i) q^{66} +(-7.17969 + 12.4356i) q^{67} +(0.660083 + 1.14330i) q^{68} +(-1.12905 - 0.723305i) q^{69} +(-1.40835 - 3.11995i) q^{70} +(-5.66734 - 1.29353i) q^{71} +(-2.88178 + 0.833884i) q^{72} +(-6.12979 + 2.40576i) q^{73} +(-4.87605 + 1.91371i) q^{74} +(-5.06953 - 2.73643i) q^{75} +(2.43292 + 0.555298i) q^{76} +(-0.189920 + 7.66291i) q^{77} +(2.64403 - 4.12721i) q^{78} +(-4.93510 - 8.54785i) q^{79} +(-0.646902 + 1.12047i) q^{80} +(-8.50189 - 2.95259i) q^{81} +(-8.02051 + 0.601054i) q^{82} +(3.79532 - 4.75918i) q^{83} +(4.47158 + 1.00248i) q^{84} +(1.06494 + 1.33540i) q^{85} +(0.972221 + 1.04780i) q^{86} +(-3.69465 + 4.91532i) q^{87} +(2.39378 - 1.63205i) q^{88} +(14.4942 + 2.18465i) q^{89} +(-3.52601 + 1.62253i) q^{90} +(-6.57484 + 3.58178i) q^{91} +(0.335890 - 0.697483i) q^{92} +(-13.7510 + 2.47721i) q^{93} +(1.91582 - 2.06476i) q^{94} +(3.21965 + 0.241279i) q^{95} +(-0.678694 - 1.59354i) q^{96} +7.81031i q^{97} +(-5.24989 - 4.63018i) q^{98} +(8.69025 + 0.152340i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9} + 6 q^{10} - 12 q^{15} + 18 q^{16} - 4 q^{18} - 12 q^{19} + 10 q^{22} - 6 q^{24} + 16 q^{25} - 42 q^{27} + 2 q^{28} + 4 q^{30} + 6 q^{31} + 18 q^{33} - 10 q^{36}+ \cdots + 224 q^{99}+O(q^{100}) \) 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9 + 6 * q^10 - 12 * q^15 + 18 * q^16 - 4 * q^18 - 12 * q^19 + 10 * q^22 - 6 * q^24 + 16 * q^25 - 42 * q^27 + 2 * q^28 + 4 * q^30 + 6 * q^31 + 18 * q^33 - 10 * q^36 - 36 * q^37 + 4 * q^39 - 22 * q^40 + 20 * q^42 + 40 * q^43 - 14 * q^45 - 156 * q^46 - 134 * q^49 - 12 * q^51 + 16 * q^52 - 18 * q^54 - 322 * q^55 - 34 * q^57 - 164 * q^58 - 6 * q^60 + 56 * q^61 - 24 * q^63 + 36 * q^64 - 28 * q^69 - 4 * q^70 + 4 * q^72 - 24 * q^73 + 84 * q^75 + 16 * q^78 + 22 * q^79 - 52 * q^81 + 24 * q^82 + 42 * q^84 + 32 * q^85 - 94 * q^87 - 2 * q^88 + 42 * q^90 - 100 * q^91 - 266 * q^93 - 88 * q^94 - 6 * q^96 + 224 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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